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8. Let a(p) = 328*p**3 - 9*p**2 - 9*p + 18. Calculate 4*a(l) - 9*c(l). -164*l**3 Let z(l) = 14*l**2 - 4*l - 5. Let j(i) = -31*i**2 + 8*i + 11. Give 4*j(u) + 9*z(u). 2*u**2 - 4*u - 1 Let s(r) = r**2 - r - 1. Let g(n) = -158*n**2 - 3*n - 3. Determine g(p) - 3*s(p). -161*p**2 Let p(d) = -5*d**3 - 71*d. Let w(m) = -10*m**3 - 144*m. Calculate -5*p(j) + 2*w(j). 5*j**3 + 67*j Let z(b) = -2*b**3 + 3*b**2 + 4*b + 2. Let u(k) = -2*k**3 + 3*k**2 + 5*k + 1. Give -4*u(h) + 5*z(h). -2*h**3 + 3*h**2 + 6 Let l(r) = 76*r - 3. Let u(j) = -114*j + 5. What is -8*l(o) - 5*u(o)? -38*o - 1 Let o(s) = s - 1. Let d be (-21)/(-15) + (-46)/(-10) + -5. Let z(w) be the first derivative of -d + 3/2*w**2 - 4*w. Give -4*o(f) + z(f). -f Let s(h) = -h**2 + h. Let o(k) = 3*k**3 - 8*k**2 + k + 1. What is o(g) - 6*s(g)? 3*g**3 - 2*g**2 - 5*g + 1 Let c(m) = -m**2 - 3. Let v(u) be the second derivative of u**4/6 + 7*u**2/2 - 44*u. Determine -7*c(x) - 3*v(x). x**2 Let m(i) = -1. Let u(d) = -9*d + 21. Determine 18*m(n) + u(n). -9*n + 3 Suppose -f - f + 14 = 2*p, 0 = 4*f + 3*p - 24. Suppose 0*l = -f*l + 45. Let v be (6/l)/(5/25). Let i(q) = -1. Let g(y) = y - 1. Calculate v*g(b) - i(b). 2*b - 1 Let x(n) = -10*n**2 + 8*n - 13. Let z(y) = 2*y**2 - 130*y - 139. Let b be z(66). Let r(p) = -3*p**2 + 3*p - 4. Calculate b*r(u) + 2*x(u). u**2 - 5*u + 2 Let g(h) = -279*h**2 + 126*h - 63. Let m(r) = -9*r**2 + 4*r - 2. What is 2*g(z) - 63*m(z)? 9*z**2 Let x(t) = -4*t**3 + 2*t**2 - 2*t + 7. Let v = -34 - -42. Let z be (-341)/(-44) + 0 + (-6)/v. Let g(i) = -2*i**3 + i**2 - i + 3. Give z*g(n) - 3*x(n). -2*n**3 + n**2 - n Let u be (-4)/14 + 99/(-21). Let q(l) = -1. Let i(a) = -3*a + 1. Let g(m) = i(m) + 4*q(m). Let k(f) = -2*f - 2. Give u*g(d) + 7*k(d). d + 1 Let p = -4 - 1. Let u(h) = -4*h**2 + 7*h + 5. Let l(d) = 3 - 2*d**2 + 4*d**2 + 4*d + d**2 - 5*d**2. What is p*l(j) + 3*u(j)? -2*j**2 + j Let q(r) = -3*r**3 - 3*r**2 - 3*r + 3. Let b be 4 + (1 - 2) + -3. Let i(c) = c**2 - 1 - 2*c**2 - c + 2 + b*c**2. Calculate -3*i(x) + q(x). -3*x**3 Let o(l) = -4*l. Suppose -3660 = 6*u - 3594. Let c(h) = -12*h. Calculate u*o(k) + 4*c(k). -4*k Let o(k) = -k**3 + k**2 - 1. Let w(s) = -s**2 - 3. Let r(q) = q**3 + 2*q**2 + 2. Let l(x) = -r(x) - w(x). What is -4*l(f) - 4*o(f)? 8*f**3 Let f(i) = 13*i**2 + 2*i - 7. Let n(t) = 6*t**2 + t - 3. Let k be 39/3 + -4 - 4. Suppose -k*h + 81 = 4*h. Calculate h*n(l) - 4*f(l). 2*l**2 + l + 1 Let f(l) = 3*l + 709 - 709 - 2*l. Let x(h) = -4*h - 4. Calculate -2*f(t) - x(t). 2*t + 4 Let k(a) be the second derivative of -3*a**3/2 - 11*a**2/2 - 17*a. Let b(l) = 8*l + 11. Let u(c) = 4*b(c) + 3*k(c). Let n(h) = -h - 2. What is 11*n(v) + 2*u(v)? -v Let a(o) = 128*o**2. Let q(z) = 4*z**2. Calculate -2*a(y) - 10*q(y). -296*y**2 Let n(b) be the first derivative of b**2/2 + 42. Let j(m) = m**2 + 6*m. Give -2*j(y) + 10*n(y). -2*y**2 - 2*y Let s(y) = -168*y**2 + 5*y + 2. Let t(w) = 336*w**2 - 11*w - 4. Give -9*s(q) - 4*t(q). 168*q**2 - q - 2 Let j(a) = -1 - 12*a - 12*a - 8*a + 29*a - 5*a. Let l(y) = -24*y - 3. Calculate -8*j(z) + 3*l(z). -8*z - 1 Let q(i) = -2*i**2 + i - 1. Let y(d) = -95*d**2 + 57*d - 57. Calculate 57*q(l) - y(l). -19*l**2 Let d(j) = 14*j**3 + 6*j**2 + 7*j - 45. Let p(b) = -12*b**3 - 5*b**2 - 6*b + 45. Calculate -5*d(t) - 6*p(t). 2*t**3 + t - 45 Let u(g) = -4*g**2 - g. Let q(b) = -13*b**2 - 3*b - 1. Let x be ((-48)/(-6) + -7)/(2/114). Let j = x - 50. What is j*u(d) - 2*q(d)? -2*d**2 - d + 2 Let l(r) = r**2 + 7*r - 6. Let j(m) = -m**2 + 6*m - 5. Let c(k) = -4*j(k) + 3*l(k). Let x(p) = -20*p**2 + 9*p - 6. Give 11*c(d) + 4*x(d). -3*d**2 + 3*d - 2 Suppose -2*f - 5*q = -3*f + 28, -3*f - 3*q = 6. Let u(m) = -5*m - 1. Let z = -5 - -7. Let x(w) = -w + 3*w + z*w. Give f*x(n) + 2*u(n). 2*n - 2 Let w(f) = -f**2 - 3*f + 6. Let h(a) = -41*a**2 + 5*a - 39*a**2 - 11 + 117*a**2 - 35*a**2. Give -4*h(o) - 7*w(o). -o**2 + o + 2 Let f be (5 - 4) + -10 - -1. Let i(g) = -14*g**3 + 8*g**2 + 8. Let m(y) = -9*y**3 + 5*y**2 + 5. Give f*m(x) + 5*i(x). 2*x**3 Let x(c) = -c**2 + c + 1. Let f(n) = -11*n**2 - 4*n - 11. Give f(b) + 4*x(b). -15*b**2 - 7 Let k = -23 + 22. Let h(c) = c**3 + c**2 - c + 1. Let p(u) = -3*u**3 - 4*u**2 + 10*u - 4. Determine k*p(r) - 4*h(r). -r**3 - 6*r Let f(w) = -3*w**3 - 2*w + 9. Let v(s) be the first derivative of s**4 + 3*s**2/2 - 10*s + 313. Determine 6*f(o) + 4*v(o). -2*o**3 + 14 Let r = -2 - -2. Let x(m) = r + 6 + m - 1. Let b(l) = 2*l + 9. Let w(q) = q**3 + 10*q**2 + 9*q + 6. Let s be w(-9). Calculate s*b(o) - 11*x(o). o - 1 Let l = 53 + -51. Suppose 14*v - l = 15*v. Let r(t) = -24*t - 28. Let u(d) = -23*d - 27. Let w(g) = -6*r(g) + 7*u(g). Let z(p) = -4*p - 5. Give v*w(s) + 9*z(s). -2*s - 3 Let m(w) = -w**2 - w - 1. Let t(i) = -2*i + 4650*i**2 - 4649*i**2 - i - 2. What is m(j) - t(j)? -2*j**2 + 2*j + 1 Let v = -1409 - -1413. Suppose 0 = -d + 2*d - 3. Let n(s) = -d - 2*s + 0*s + 0*s. Let b(l) = -3*l - 5. What is v*b(g) - 7*n(g)? 2*g + 1 Let q(u) = 20*u**2 + 10*u. Let v(n) = -161*n**2 - n + 4*n + 168*n**2. Give -3*q(x) + 10*v(x). 10*x**2 Let p(s) = 1273*s + 54. Let h(y) = 849*y + 34. Give 8*h(b) - 5*p(b). 427*b + 2 Let z(i) = -9*i**2 + 2*i + i**2 + 3*i**2. Let m(w) = -w**2 - 1. Let u = 180 - 181. What is u*z(g) + 2*m(g)? 3*g**2 - 2*g - 2 Let x = -11 - -8. Let j(v) = 5*v - 2*v + 4*v**2 + 5*v**2 - 5*v**3 - 6*v**2 + 3. Let q = 3 + -2. Let s(f) = -f**3 + f**2 + f. Determine q*j(k) + x*s(k). -2*k**3 + 3 Let j(l) be the second derivative of -4*l**3/3 + 7*l**2/2 - 4*l + 17. Let b(h) = -7*h + 6. What is -6*b(w) + 5*j(w)? 2*w - 1 Let t(c) = -39*c + 18. Let v(l) = 118*l - 51. Calculate 11*t(r) + 4*v(r). 43*r - 6 Let v = 962 - 955. Let i(a) = -3*a + 1. Let m(y) = 4*y - 1. Calculate v*i(x) + 5*m(x). -x + 2 Let g(x) = x**2 + 9*x - 4. Let a be g(-9). Let h(w) = w - 6. Let t(y) = 3 - 4 - 5 + 1. Let c(o) = -5*h(o) + 6*t(o). Let m(u) = -6*u. What is a*c(p) + 3*m(p)? 2*p Let t(s) = s - 1. Let x(m) = 3*m - 2. Give -11*t(u) + 6*x(u). 7*u - 1 Let t(v) = 5*v**2 - 6*v - 6. Let x = 0 - -6. Let l(d) = -4*d - d - 85 + 4*d**2 + 0*d + 80. Give x*l(i) - 5*t(i). -i**2 Let w = 154 + -158. Let l(n) = 13*n**2 + 15*n + 5. Let c(o) = -7*o**2 - 8*o - 3. Let x(p) = 5*c(p) + 3*l(p). Let u(v) = 3*v**2 + 4*v. Give w*x(t) + 5*u(t). -t**2 Let a(s) = -5*s**2 - s + 3. Let t(j) = 10*j**2 - 7. Determine -5*a(q) - 3*t(q). -5*q**2 + 5*q + 6 Let u(q) = -7*q**2 - 4*q + 9. Let g(y) = 5*y**2 + 3*y - 7. What is 4*g(t) + 3*u(t)? -t**2 - 1 Let c(u) = -1 + u**2 + 3 - 2 - u. Let p(q) = -7*q**2 + 5*q - 5. Give -5*c(z) - p(z). 2*z**2 + 5 Let a(i) = 7*i - 57. Let o(s) = s - 2. Determine a(c) - 6*o(c). c - 45 Let o(j) be the first derivative of 8*j**3/3 + j**2 - 4*j + 5. Let l(r) = -17*r**2 - 5*r + 9. Give -2*l(h) - 5*o(h). -6*h**2 + 2 Let z(s) = 6*s**3 + 10*s - 11. Let x(c) = 3*c**3 + 6*c - 6. Determine -5*x(y) + 3*z(y). 3*y**3 - 3 Let l be 8/(-12)*(-3)/2. Let u(i) = -l - 3 + 0*i + 0 - 2*i. Let c(d) be the second derivative of -7*d**3/6 - 15*d**2/2 + 4*d. Determine 6*c(b) - 22*u(b). 2*b - 2 Let v(q) = 3*q**2 - 2*q + 5. Let x(p) = 9*p**2 + 3*p - 2. Let r(b) = 2*b**2 + b - 1. Let t(u) = 4*r(u) - x(u). Calculate 9*t(n) + 4*v(n). 3*n**2 + n + 2 Let v(q) = -10*q + 5. Let y(o) = -o + 1. Let l be (-1)/(-5)*(-32 + 37). Calculate l*v(c) - 4*y(c). -6*c + 1 Let s(v) = 10*v**2 + 5*v + 2. Suppose -22*g = 45 + 65. Let f(u) = 9*u**2 + 4*u + 2. Calculate g*s(p) + 6*f(p). 4*p**2 - p + 2 Let w(z) be the third derivative of -z**3/6 - 95*z**2. Let y(g) = -2*g - 3. Calculate -2*w(o) - y(o). 2*o + 5 Let t(b) be the first derivative of -b**4/4 + b**2/2 - 75. Let f(d) = -12*d**3 + 4*d. What is f(x) - 4*t(x)? -8*x**3 Let d(o) = -6825*o**3 + 125*o**2 - 125*o - 125. Let f(g) = 325*g**3 - 6*g**2 + 6*g + 6. Give -6*d(w) - 125*f(w). 325*w**3 Let d = 10 + -4. Let f = 9 - 11. Let g be ((-33)/12)/(f/(-8)). Let x(p) = 5*p + 7. Let j(k) = 9*k + 13. Determine d*j(s) + g*x(s). -s + 1 Let c(x) be the second derivative of x**5/10 + x**4/3 + 2*x**3/3 - 2*x**2 + 14*x - 5. Let g(b) = b**3 + b**2 + b - 1. What is c(a) - 4*g(a)? -2*a**3 Let c(o) = 4*o + 7. Let y(g) = -5*g - 7. Give -6*c(t) - 4*y(t). -4*t - 14 Let h(f) be the third derivative of f**5/15 - 5*f**4/8 + f**3/3 - 77*f**2. Let g(w) = 2*w**2 - 7*w + 1. Determine 13*g(s) - 6*h(s). 2*s**2 - s + 1 Let u(t) = -7*t*
{ "pile_set_name": "DM Mathematics" }
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6:39 PM What is 599
{ "pile_set_name": "DM Mathematics" }
907/11. Which is the closest to l? (a) -0.1 (b) -4 (c) -1/3 a Let o = 2 + -2.3. Let s = -0.18 - o. Let t = 0.22 - s. Which is the nearest to t? (a) 0.3 (b) -5 (c) -2 a Let w = 874/3 - 2620/9. What is the closest to -1/3 in 0.3, w, 28, -0.4? -0.4 Suppose 5*u - m = -20, 3*u = -3*m - 50 + 20. Which is the nearest to -4? (a) -8 (b) -3/2 (c) u c Let v = 52.2 - 51.8. Which is the closest to 8? (a) 0.1 (b) -0.5 (c) v c Let l be (-41)/7 - -6*1. Which is the nearest to 2? (a) l (b) -2/19 (c) -2/7 a Let b = 26/7 - 24/7. Let p = -147 - -111.1. Let l = -36 - p. What is the nearest to b in 4/7, -5, l? 4/7 Let k = -0.001 - 25.999. Let i = k + 25.7. Which is the nearest to i? (a) -0.5 (b) -0.2 (c) -1 b Let o = -8.91 + 9. Let p = -8766 + 8763. What is the closest to 3/4 in o, 2/5, p? 2/5 Let z = -6.19 + 2.19. Let o = -0.34 + 0.04. What is the nearest to -1/3 in z, o, -6? o Let p be (9 + -8)*(-4)/(-10). Let u = -51.3 + 51. Which is the nearest to p? (a) 0.01 (b) u (c) -2/9 a Let u = 35.8 - 65. Let w = 29 + u. Let l = 2.5 + -2. What is the closest to -0.1 in w, l, 4/7? w Let j = -2.33 + -0.57. Let c = -3.1 - j. Let s = 5.5 + -0.5. What is the closest to c in -5, 0.3, s? 0.3 Let s = 1 - 7.5. Let p = s - -4.5. Which is the nearest to -0.07? (a) 1/2 (b) p (c) 2 a Let y = -1420 + 1418. Which is the nearest to y? (a) 1 (b) 1/2 (c) 2/11 (d) 1/110 d Let x = -28.7 - -28.6. What is the nearest to x in -5, -7, -8, 0? 0 Suppose 5*r - 22 - 8 = 0. Suppose -r*x = -2*x. Suppose -2*u = -x*u. What is the closest to u in -1/8, -0.1, 0? 0 Let s = 7 + -7.04. Let o = 2.75 - 2.45. What is the closest to o in 0, s, -0.1? 0 Let t(y) = 7*y - 93. Let i be t(14). Which is the closest to 3/8? (a) -4 (b) i (c) -0.3 (d) 2 c Suppose 5*g - t - 19 = 0, -4*g = -5*g + 2*t + 2. Let s = g - -1. Let d = 15 + -13. Which is the closest to d? (a) -2 (b) s (c) 0.1 c Let w(z) = 4*z + 37. Let u be w(-10). Which is the nearest to 0? (a) u (b) 17/2 (c) 1/4 c Let v = -72 - -2087/29. Which is the nearest to v? (a) 4 (b) 0 (c) 1/2 b Let u = -67/4 + 17. Let h = -9.52 - -9.12. What is the closest to 1 in h, 3, u? u Let a = 1077 - 1075. Let s be 1/5 + 10/75. Let t = 0.3 - 0.28. What is the nearest to t in a, s, 2/19? 2/19 Let g = 4.4 + -5.7. Let s = 1.4 + g. Let f = 0.3 + 4.7. What is the nearest to -0.2 in s, -4, f? s Let l = 119/15 + -25/3. Let o = 1.04 - 0.6. Let h = o - -0.06. What is the nearest to l in 6, 2/9, h? 2/9 Let g = 2.9 - 2.9. Which is the closest to -5? (a) -3 (b) 5 (c) g a Let m = 58 + -57.9. Let f = 1 - 0.4. Let k = m - f. What is the closest to 0.1 in -1/3, 0.1, k? 0.1 Let m = -8.2 + 8. Let t = 5.42 - 9.42. What is the nearest to -7 in m, 4, t? t Let n = -18 + 35/2. Let c = 2.9 + 0.9. Let f = -1.2 - c. What is the closest to -1/4 in f, n, -1? n Let g = -45 - -48. Which is the closest to 9? (a) g (b) -5 (c) 5 c Let v = 670 + -668. What is the closest to -3 in -1/7, v, -0.3, 0.2? -0.3 Let a = 2 + -4. Let r = 30.5 - 30.4. Let f = 0.7 + -1. What is the closest to r in -2/5, a, f? f Let o = 4 - 9. Let d = 42.3 + -42.3. Let z = 6 - 5.8. Which is the nearest to d? (a) z (b) 6 (c) o a Let r = -66 + 63. What is the closest to 2/7 in r, 2, -1.1? -1.1 Let d = -67/3 - -21. Let w = -1 - -15. Let t = -12 + w. What is the nearest to -0.1 in -2, d, t? d Let x = -6.62 + 6.92. Which is the nearest to -1? (a) -4 (b) 1 (c) x (d) -0.5 d Let y = 734 + -733. What is the closest to y in -5/7, -2, -5? -5/7 Let i = -459/10 + 46. Which is the nearest to 2? (a) 2/5 (b) i (c) -0.2 a Let x be (-44)/(4 + -15) + (-10)/3. What is the closest to x in -4, -1, -0.5, 2.3? -0.5 Suppose 4*s - 8*s + 20 = 0. Suppose i = -4*v + 12, -12 = -0*i - i + 2*v. Suppose 13 = s*l - i. Which is the nearest to -2? (a) l (b) 2/11 (c) 2 b Let r be (-4)/3*27/66. What is the nearest to -2 in r, -1/7, 0.3? r Let v = -303.6 - -304.1. What is the closest to 1 in 2/5, -0.5, v? v Suppose 0 = -25*r + 19*r + 18. Which is the closest to -3? (a) -1/11 (b) -1 (c) r b Let b = -0.181 - 0.119. Let g = 2.051 + 0.049. Let f = g + -2. What is the closest to f in 4, 1, b? b Let r = -3 - -4. Let g be 1 - (7 + -2) - (-120)/25. Which is the closest to r? (a) -5 (b) 0.3 (c) g c Let q be (-124)/(-465)*5/2. Let v = 0.6 - 0.4. What is the nearest to v in q, -0.06, -2/7? -0.06 Suppose 0 = -5*o - 10*m + 25, 4*m = 2*o + 20 + 10. Which is the nearest to 0? (a) -0.4 (b) o (c) 0.08 (d) -0.03 d Let s = -204 + 114. Let d = s - -96. Let v = -0.7 + 0.2. Which is the closest to 0.1? (a) v (b) -2 (c) d a Let o = 0.609 - 0.409. What is the nearest to o in -111, -3/7, 1? -3/7 Let l = -110 - -215/2. Let g = l + 11/4. Let v = 125/3 + -41. What is the nearest to v in -1, g, -3/7? g Let x = 162 + -166. Which is the nearest to 1/3? (a) -1 (b) 0.3 (c) x b Let q = -126.8 + 126.9. Which is the nearest to q? (a) 3 (b) -0.4 (c) 0 (d) 28 c Let z = -485 + 483. What is the closest to z in 0.1, -43, -0.2? -0.2 Let y = 408.6 + -409. Let q = -15 - -5. Let u be (-4)/q - 36/(-10). Which is the closest to y? (a) u (b) 5 (c) -4 c Let t = 8 - 14. Let v be (1/10)/((-4)/(-10)). Let r = 5/7 + -29/21. Which is the closest to r? (a) v (b) -2 (c) t a Let d = 1844 - 1834. What is the nearest to d in 0, -5, 0.4? 0.4 Let a = -1339 + 1340. What is the closest to 0 in 39/8, a, 1/3? 1/3 Let r = -11/12 + 5/4. Let j be ((-16)/(-96))/((-3)/(-18)). Which is the nearest to r? (a) -1 (b) j (c) 0 c Let t be (-4 - -6 - -8)*(-2)/(-29). Let l = -358/435 + t. What is the closest to -2 in -2/3, -2, l? -2 Let f be (-5361)/360 - 8/20. Let s = -47/3 - f. Which is the closest to -1? (a) 0.4 (b) s (c) 1 b Let n = 33/10 + -19/5. Which is the nearest to n? (a) 1 (b) -6/5 (c) 0.1 c Let i(s) = -s + 8. Let z be i(6). Suppose 5*f + 12 = z*g, 3*g - 4*f - 10 = g. Which is the nearest to g? (a) 1 (b) 0 (c) -7 a Let d(t) = t + 1. Let h be d(-2). Suppose -16 = -6*x + 8. Let k = 7.6 - 8. Which is the nearest to h? (a) -3/4 (b) k (c) x a Let b = 0.99 - 0.59. What is the nearest to 8 in b, 5, -5? 5 Let o = 0.45 - 47.45. Let k = 48 + o. Which is the closest to -0.2? (a) -0.1 (b) k (c) 0.3 a Let m = -110 + 110.1. Suppose 5*x + 7 - 16 = l, -2*x + 5 = l. What is the closest to m in 3/2, x, 1? 1 Let m = -0.017 + 13.017. Let d = m - 11. What is the closest to -1/3 in -1, -5, d? -1 Let s = 0.7 + 2.3. Let d = 121 - 485/4. What is the nearest to 2/9 in s, 0.5, d? 0.5 Let c be -5 + -1 + 1 + 1. Let r = 0.4 + -0.3. Let i = 26960 - 107839/4. What is the nearest to i in c, r, 1? r Let d = -1/2 - -1/6. Let t be 33/44*2*12/81. Suppose -2*x + 2 = -x. What is the closest to 1 in t, d, x? t Let o = -35.8 - -55. Let d = -121 - -140. Let m = d - o. What is the nearest to 0.2 in 0, 1, m? 0 Let i = -25.6 - -25.9. Which is the nearest to 0? (a) -1 (b) 3/2 (c) 41 (d) i d Suppose 5*d = -2*i + 43 + 87, 0 = 5*i - 2*d - 296. Let p be (-4)/(-6)*(-45)/i. What is the closest to -1/3 in 2/15, p, -0.4? -0.4 Let v = 178 + -181. What is the closest to 4 in v, -2/3, -1? -2/3 Let i = 2.8 + -3. Let k = -96/35 + 358/105. Which is the closest to i? (a) 2 (b) k (c) -1/9 c Let h = -0.27 - 0.03. Let u = 1.3 + h. Which is the nearest to u? (a) 0.4 (b) -5 (c) 0.2 a Let w be (3/2 - (-282)/(-186))*-43. Let t = 6/31 - w. Let g = 0.1 + -0.2. What is the nearest to g in 2/5, 4, t? t Let t be ((-31)/(-341))/((-2)/4). What is the nearest to -6 in 5, t, -1? -1 Let x = 26 + -36. Let c be 2 + 2/8*x. Suppose -2*a + a = -5*t - 10, 4*a = 2*t + 22. What is the nearest to t in c, 0, -1? -1 Let x = -3.86 - -4.36. What is the closest to 0.1 in 0.4, x, 8? 0.4 Let s = -669 + 668.5. Which is the closest to 2? (a) 0.1 (b) s (c) -295 a Let i = -24607 - -24607. Let v be (36/(-10))/((-6)/(-20)). Let q be (-7)/v - (-2)/(-6). What is the closest to i in q, 1/5, 4? 1/5 Let n = 0 - 0.5. Let t = -2 - -2.4. Let s(i) = i**2 - 2. Let r be s(2). Which is the closest to r? (a) t (b) -1 (c) n a Let q be 92/(-138) - (16/(-18))/2. Let p = 0 - 0. Let a = 67/105 + 1/35. What is the closest to -1 in a, q, p? q Let v = -213 + 213.2. What is the nearest to 1/2 in -2/11, v, -2/7, -0.03? v Let l(n) = n**3 + 5*n**2 - 6*n + 9. Let s be l(-6). Let h = s - 8. Which is the closest to -0.2? (a) -1 (b) -2 (c) h a Let h
{ "pile_set_name": "DM Mathematics" }
w(m). Let h(i) = -83*i - 10. Let l(u) = -14*d(u) - 4*h(u). What is the tens digit of l(-1)? 5 Let j be 106/3*(-30)/(-20). Let t = j + -50. Suppose 0 = t*q + q - 636. What is the units digit of q? 9 What is the units digit of 11 + (-290556)/(-12) - -18? 2 Let s be -1*(1047 - (-5)/5). Let j be s/5*2*15/(-12). Suppose q - j = -4*t - q, -5*q = -2*t + 238. What is the hundreds digit of t? 1 Let w = -14034 + 28449. What is the units digit of w? 5 Let a be (-7)/(-6) - 5/30. Let d(p) = 51*p**2 - 1. Let n be d(a). Suppose 2*m - 14 = n. What is the units digit of m? 2 Let r = 89 + -90. Let f(i) = 312*i**2 - 2*i - 1. Let h be f(r). Suppose -h = -4*g + 71. What is the tens digit of g? 9 Let b(l) = 2*l - 2 + 3313*l**2 - 2748*l**2 + 0*l. What is the hundreds digit of b(1)? 5 Suppose -2765 = -11*t - 829. Suppose 181*i = t*i + 1920. What is the tens digit of i? 8 Let n = 244 + -941. Let b = 1074 + n. What is the tens digit of b? 7 Let s(m) = m**3 - 14*m**2 - 15*m + 6. Let x be s(15). Let z(h) = 30*h - 3*h + 9 - x. What is the tens digit of z(2)? 5 Let q be (5 - 7)/((-2)/(-35)). Let t = q - -35. Suppose -x - 4*a + 103 = t, 5*a - 20 = 5. What is the units digit of x? 3 Let g be ((-127495)/(-8) - 2) + 5/40. What is the tens digit of (-2)/13 + g/65? 4 Let v = 2827 - 2017. What is the hundreds digit of v? 8 Suppose 0 = 4*y - 8, 3*y + 35 + 82 = 3*o. Suppose -32*i + o*i - 3546 = 0. What is the units digit of i? 4 What is the units digit of (-610)/(-61) + 7/((-28)/(-155536))? 4 Let u(m) = -m**2 - 9*m - 10. Let d be u(-7). Suppose d*w - 2*a - 238 = 0, -7*a - 295 = -5*w - 2*a. Suppose -4*n + 156 = -w. What is the tens digit of n? 5 Suppose -4*r = y - 6216, r = y + 1190 + 364. Suppose -c + r = 5*c. Suppose -9*j + 2*j = -c. What is the tens digit of j? 3 Let v = -470 + 474. Suppose -2*d - 3*b = -3758, v*d - 3*b - 11473 = -3921. What is the hundreds digit of d? 8 Let w = -80 + -29. Let o be (6/4)/(4/(-992)*-12). Let j = o - w. What is the hundreds digit of j? 1 What is the tens digit of 4/(-11) - (-5515795)/209? 9 Suppose 0 = -7*f + f + 402. Suppose 0 = 5*a - 13 - f. Suppose -a = -5*t + 374. What is the tens digit of t? 7 Let k(d) = 22*d**2 - 72*d - 7. What is the hundreds digit of k(-9)? 4 Let q = 1740 + -852. Let a = -400 + q. What is the units digit of a? 8 Suppose p - 5 + 7 = 0. Let x be 804/12 + -4 + (p - -4). Suppose -5*u + 355 = -x. What is the tens digit of u? 8 What is the tens digit of (822/8)/(22/9768)? 2 Suppose 0 = 5*s - 4*o + 171, -s + 5*o - 9*o = 39. Let y = -164 + 289. Let k = s + y. What is the tens digit of k? 9 Let h be (-18)/3*(-78)/4. Suppose -23 = -5*c + h. Suppose 0 = 5*t - 563 + c. What is the hundreds digit of t? 1 Let s be (36 + -35)/((-1)/9). Let k(j) = -92*j - 71. What is the units digit of k(s)? 7 Let f(y) = -2*y**3 - 3*y**2 + 4*y + 1. Let n be f(-3). Let l = n - 10. Let h(p) = -p**2 + 10*p - 8. What is the tens digit of h(l)? 1 Let o(u) = -u + 43. Let c(f) = -5*f - 23. Let a be c(-6). Suppose x + 2*h - a = 0, -x + h + 7 = -0. What is the units digit of o(x)? 6 Suppose -5*q + 4*g = g - 154725, 123793 = 4*q - 5*g. What is the hundreds digit of q? 9 Let j(s) = 363*s + 1702. What is the hundreds digit of j(22)? 6 Let n(b) be the first derivative of -115*b**2/2 - 13*b - 11. Let w be n(-3). What is the units digit of w/12 - (-12)/9? 9 Let n = -2165 - -1384. Let l = -501 - n. What is the tens digit of l? 8 Suppose -1122099 + 5172286 = 185*x - 2493633. What is the tens digit of x? 7 Let w(n) be the second derivative of 0 - 23*n - 25/2*n**3 + 4*n**2. What is the tens digit of w(-3)? 3 Let n(f) = -3*f**2 + 33*f - 16. Let a be n(11). Let h = -15 - a. What is the units digit of 633*((-5)/(-15))/h? 1 Suppose 12*s = 19*s - 0*s. Suppose -j + 876 = 3*u - 410, j + u - 1294 = s. What is the hundreds digit of j? 2 Suppose -2*y - 51*c - 71 = -54*c, 4*y - 3*c = -151. What is the hundreds digit of (y/16)/((-2)/596) + -5? 7 Suppose 0 = -5*p - 5*t + 95560, -p + 3*t + 14363 + 4753 = 0. What is the ten thousands digit of p? 1 Let s(k) = 4*k**2 + 14*k + 27. Suppose -51*t + 46*t - 60 = 0. What is the units digit of s(t)? 5 Suppose 5*m + u - 74721 = 0, 9*m - 14940 = 8*m + 4*u. What is the ten thousands digit of m? 1 What is the hundreds digit of (-23)/((-46)/116)*209/2? 0 Let g = 39977 + -23112. What is the thousands digit of g? 6 Let g(c) = -3*c**3 + 4*c**2 - 4*c - 5. Let m be g(4). What is the units digit of -2 - (-5 + 2) - m? 0 Suppose 0 = 18*i - 2*i + i - 35122. What is the hundreds digit of i? 0 Let r be (-68)/(-18) + (-68)/18 + 4. Suppose -28 + 32 = r*h. What is the tens digit of (1 + (-8)/(-4))*8*h? 2 Let k = 5368 - 4337. What is the units digit of k? 1 Let p = 46 + -28. Let a(n) = -n**3 + 18*n**2 + 16*n + 12. What is the tens digit of a(p)? 0 Suppose -a - 2*v - 13 = 0, a + v + 5 = -3*v. Let i = a - -23. What is the units digit of (-5 - -4) + 182/i? 0 Suppose -4*a - 546 - 17 = 3*z, 158 = -a + 5*z. What is the units digit of (-2)/15*-12*(12 - a)? 8 Suppose -38*f - 4*s = -36*f - 63336, -2*f + s + 63306 = 0. What is the units digit of f? 6 Let m(l) = -2*l**3 + 107*l**2 - 388*l - 31. What is the tens digit of m(22)? 2 Let t = -44 - -49. Suppose -4*o + t*s + 31 = 0, 5*o - s - 14 = 30. Suppose -12*q = -o*q - 54. What is the tens digit of q? 1 Let a = 8 + 24. Let n(y) = 3*y**3 - y**2 - 2*y + 2. Let o be n(2). Let r = a + o. What is the tens digit of r? 5 Suppose 108*u = 2*g + 114*u - 47510, 4*u - 47512 = -2*g. What is the hundreds digit of g? 7 Let h be 86 + 1 - (0 + -3 + 1). Let j = -107 - h. Let d = -126 - j. What is the units digit of d? 0 Let k(z) = -2856*z - 6*z**2 + 24*z**3 + 14*z**2 + 2845*z + 5. What is the tens digit of k(2)? 0 Suppose 15 + 3 = 6*x. Suppose -x*k = -3*o - 2208, 5*k - 2962 = k - 2*o. What is the tens digit of k? 3 Let g(b) = 232*b**3 + 5*b**2 - 26*b + 157. What is the thousands digit of g(5)? 9 Let y(c) = 2081*c + 5. Let g be y(2). Suppose 0 = 7*n - g - 446. What is the tens digit of n? 5 Let t = -224 + 29. What is the units digit of 2*t/(-4)*4/5? 8 Let g = 1256 - -1480. Suppose -c + g = 11*c. Suppose -a - 700 + c = -4*o, 3*o + 2*a - 365 = 0. What is the tens digit of o? 1 Let q(f) = 576*f + 1. Let o be q(1). Suppose 53 - o = -2*r. What is the hundreds digit of r? 2 Suppose z = 4*h - 282, 5*z + 2*h - 662 = -2028. Let q = 962 - z. What is the tens digit of q? 3 Let m(c) = 133*c**2 + 71*c**2 - 4*c - 2 - 24*c**2 + 10*c. What is the hundreds digit of m(-2)? 7 Let u be (-570)/(9/(-45)*(-4)/(-2)). Let x = -859 + u. What is the units digit of x? 6 Suppose 4*n - 2*l = -n - 7944, -3*n - 4758 = 3*l. Let u = -2378 - n. What is the hundreds digit of (-1)/(-4 + (-3155)/u)? 1 Suppose 12*p = 14*p - 12. Let u = p + 52. Suppose -o - u = -195. What is the units digit of o? 7 Let f(k) = 263*k**2 - 40*k + 60. What is the thousands digit of f(-3)? 2 Suppose -2*b = 68*p - 64*p - 6, -b + 1 = p. Suppose 3*l = -5*i + 4948, p*i - 3282 = -5*l - 1318. What is the units digit of i? 2 Let r = -5515 - -5597. Let m(b) = 2*b**3 - 9*b**2 + 7*b - 9. Let v be m(6). Let h = v - r. What is the tens digit of h? 5 Suppose 115*v - 106184 = -115*v + 217*v. What is the hundreds digit of v? 1 Let x(i) = -i**2 - 15*i - 4. Let v be x(-15). Let h be v/(-22) - 3529/(-11). Let d = h - 222. What is the tens digit of d? 9 Let r(b) = -25*b + 21. Let x(k) be the third derivative of -k**4 + 10*k**3/3 + 28*k**2. Let y(i) = 7*r(i) - 6*x(i). What is the units digit of y(-8)? 5 Suppose 2*f + 7 = -4*a - 3*f, 0 = 3*f + 9. Let m(t) = 4*t**3 + 0*t**3 - 9 - t**3 - 7*t**a + t. What is the units digit of m(4)? 5 Let v(b) = -2910*b - 633. What is the units digit of v(-3)? 7 Let b = 11415 + 2878. What is the ten thousands digit of b? 1 Suppose 18*l - 9*l - 18 = 0. Suppose -l*r + 7*m = 3*m - 178, 356 = 4*r - 5*m. What is the units digit of r? 9 Suppose -24*w + 592934 = 34*w. What is the hundreds digit of w? 2 Let b = 2017 - 1417. Suppose 5*o + 1679 - b = 4*x, -5*o = 3*x - 818. What is the hundreds digit of x? 2 Let o be 0 + 2/4 - (-2629)/22. Suppose 4*v = 612 - o. Let p = v - -15. What is the hundreds digit of p? 1 Let l be (0/(-2 - -1))/1. Suppose 3*p + 311 + 139 = l. Let x = 214 + p. What is the units digit of x? 4 Let o be ((-39)/(-26))/(1078/1072 - 1). Let j = o + -10. What is the tens digit of j? 5 Suppo
{ "pile_set_name": "DM Mathematics" }
h) = -25*h**2 - 3*h - 4. Let p(n) = 76*n**2 + 29*n + 12. Let r(z) = -6*d(z) - 2*p(z). Let c(a) be the first derivative of -a**2/2 - 1. Determine r(c(v)). -2*v**2 + 40*v Let n(x) = x**2. Let g be 3/(-2)*360/(-27). Let f = g + -15. Let b(l) = f*l**2 - 13*l**2 + 20*l**2 + 23*l**2. Give b(n(c)). 35*c**4 Let d(k) = -84809325*k. Let j(v) = 2*v**2. Determine d(j(p)). -169618650*p**2 Let j(a) = -689*a - 2. Let q(p) = 8038*p**2. Give j(q(i)). -5538182*i**2 - 2 Let z(d) = 479*d. Let g(f) = -617*f - 861. Determine g(z(y)). -295543*y - 861 Let a(z) = -332*z**2. Let m(y) = -20309*y**2. Determine m(a(p)). -2238539216*p**4 Let w(d) = 928821*d**2 + 187. Let s(o) = 2*o**2. Determine w(s(u)). 3715284*u**4 + 187 Let u(m) = -11*m**2 - 4*m + 4. Let l(d) = -d**2 - d + 1. Let g(f) = 4*l(f) - u(f). Let v = -28 + 297. Let k(s) = 133 - v + 2*s + 136. Give k(g(b)). 14*b**2 Let g(r) = -14*r**2 - 140. Let n(j) = -26 - 23 + 37*j + 49 - 35*j. What is g(n(h))? -56*h**2 - 140 Let o(c) be the third derivative of 13*c**4/24 - 3348*c**2. Let l(r) = 57*r**2 + 3*r. What is o(l(w))? 741*w**2 + 39*w Let g(x) = 3*x - 26. Let q be g(14). Let a(w) = q*w - 14*w + 0*w. Let n(p) = 16*p. Determine n(a(j)). 32*j Let u(h) = -15*h**2 - 9*h. Let k(o) = 26*o**2 + 15*o. Let i(m) = 3*k(m) + 5*u(m). Let y(d) be the second derivative of 25*d**3/3 - 2*d. Give i(y(n)). 7500*n**2 Let n(r) be the first derivative of 1759*r**2/2 + 6211. Let p(y) = y. Calculate n(p(t)). 1759*t Let j(r) = -r**2. Let g(c) = -784099104*c. Give g(j(x)). 784099104*x**2 Let i(v) be the first derivative of -2*v**3/3 - 386. Let h(b) = 9849*b**2. Determine i(h(l)). -194005602*l**4 Let q(f) be the first derivative of -13*f**3/3 - 13. Let z be (-24)/(-10) + 6/10 + 0. Let x(d) = -z*d - 155 + d + 155. What is x(q(v))? 26*v**2 Let v(l) = 7*l**2 - 7*l**2 + 11*l**2 - 5*l**2 - 5*l**2. Let w(o) = 1020*o. What is w(v(y))? 1020*y**2 Let u = -216 - -249. Let h(k) = u*k + 0*k - 31*k. Let g(v) = 84*v. Give g(h(q)). 168*q Let u = -45 - -47. Suppose 0 = -a + 4*v - 3, u*a = v + 11 + 11. Let b(t) = 2*t - a + 3 + 10. Let h(c) = -5*c. Give b(h(m)). -10*m Let n(t) = 3*t**2. Let i(u) = 1156*u - 491*u - 338*u. Determine n(i(y)). 320787*y**2 Let k(v) be the second derivative of -4*v**3 + v - 76. Let f(z) = 18*z + 21*z - 62*z + 32*z. What is f(k(o))? -216*o Let x = 1 + 1. Let v(z) = -49*z + 49*z + 29*z**x. Let u(g) = -3*g**2. Calculate v(u(t)). 261*t**4 Let r(z) be the first derivative of -9*z**3 - 1. Let m(a) = -4457 + 10240 - 5783 - 9*a. Determine m(r(p)). 243*p**2 Let g(z) = 47*z**2 - 48948*z + 48948*z - 19*z**2. Let w(v) = v**2 + 13. Determine g(w(u)). 28*u**4 + 728*u**2 + 4732 Let z(g) = -1 - 2*g + 1. Let t(o) be the third derivative of 0 + 0*o**3 + 1/8*o**4 + 0*o - 90*o**2. What is z(t(h))? -6*h Let w(c) = 5*c. Let z(t) = 4*t - 51714. What is z(w(v))? 20*v - 51714 Let g(t) be the second derivative of 4*t**4/3 + t**3/2 - 26*t - 67. Let b(w) = -20*w. Determine b(g(a)). -320*a**2 - 60*a Let a(b) = 17*b - 10. Let c(r) = -13*r + 8. Let w(z) = 4*a(z) + 5*c(z). Let v(m) = -43 + 43 - 12*m - 7*m. What is v(w(o))? -57*o Let v(b) = 6216380*b. Let l(s) = 2*s. Calculate l(v(h)). 12432760*h Let r be 5 + -13 + 10 + 38 + -1. Let y(v) = -55*v**2 - 39 + r. Let c(m) = -2*m. Calculate y(c(u)). -220*u**2 Let j(y) = -2*y**2 - 8*y - 46. Let n(u) = -3140*u. Give j(n(q)). -19719200*q**2 + 25120*q - 46 Let z(u) = -20 - 14 - 12*u**2 + 34. Suppose -10*d + 459 = -41. Let x(c) = -101*c**2 + d*c**2 + 47*c**2. Determine x(z(q)). -576*q**4 Let q(s) = -2*s - 2. Let l(k) = -5*k - 32931 + 32931. Determine l(q(c)). 10*c + 10 Let j(y) = -25890*y**2 + 2*y - 34. Let k(d) = d**2. Determine j(k(l)). -25890*l**4 + 2*l**2 - 34 Let a(k) = -1773043 + 1773043 + 4*k**2. Let l(o) = -378*o. Give l(a(x)). -1512*x**2 Let w(t) = 2*t**2. Let p(n) = 20*n - 32. Let j(x) = -22 - 20 + 72 - 15 - 19. Let o(g) = 24*j(g) - 3*p(g). Calculate w(o(u)). 7200*u**2 Let j(h) be the first derivative of h**2 + 2746. Let u(o) = 2*o + 536. What is j(u(t))? 4*t + 1072 Let z(v) = -278834*v. Let n(w) = 57*w. Determine z(n(a)). -15893538*a Let f(c) be the second derivative of c**5/60 + 32*c**2 - 2*c + 12. Let v(t) be the first derivative of f(t). Let h(w) = 103*w. Calculate h(v(y)). 103*y**2 Let a(i) = -169*i - 18. Let g(w) = -38*w - 4. Let o(l) = -2*a(l) + 9*g(l). Let h(f) = -388*f**2. What is o(h(p))? 1552*p**2 Let s(a) be the first derivative of a**2 - 2. Let t be (-1 - 9/(-6))/((-11)/(-902)). Let l(i) = 22*i + 19*i + 9*i**2 - t*i + 3*i**2. Calculate l(s(v)). 48*v**2 Let a(d) be the third derivative of 0 + 0*d**3 + 0*d - 28*d**2 - 4/3*d**4. Let q(i) = -2*i. Give q(a(o)). 64*o Let f(t) = 1580 + 1579 - 4729 + 27*t + 1570. Let g(y) = 8*y. Give f(g(r)). 216*r Let l(f) = -767*f + 1. Let d(x) = -12903 + 0*x + 12903 + 2*x. Determine d(l(r)). -1534*r + 2 Let y(g) = 600852*g. Let b(p) = -5*p - 1. Calculate b(y(w)). -3004260*w - 1 Let x(l) = 2*l. Let g(s) = 5177*s + 1 + 5156*s - 10748*s. What is x(g(t))? -830*t + 2 Suppose 0*l = 4*l - 20. Let z(j) = l - 3 - 15*j + 27*j. Let h(r) = -203*r - 35. Let t(p) = 2*h(p) + 35*z(p). Let a(x) = x**2. Determine a(t(m)). 196*m**2 Let q(y) = 188*y**2. Let i(c) = 668035*c**2. Calculate i(q(s)). 23611029040*s**4 Let j(i) = -90*i**2 + 26. Let a(y) = 1137*y. Give a(j(c)). -102330*c**2 + 29562 Let s(x) = 9*x - 51*x + 38*x**2 + 42*x + 62*x**2. Let p(r) = r + 1. Let a(y) = -4*y - 5. Let m(c) = a(c) + 5*p(c). What is m(s(t))? 100*t**2 Suppose -33 = 3*i - 3*k, 2*i + k + 7 = -0*k. Let o be (3 - -3)*(-16)/i. Let h(t) = -5*t - 11*t + o*t - t**2. Let w(b) = -20*b. Determine w(h(d)). 20*d**2 Let a(k) = 7*k**2 + 1295935*k. Let j(v) = -3*v. Determine j(a(g)). -21*g**2 - 3887805*g Let z(u) = -u**3 + 5*u**2 - 6*u + 2. Suppose a - 4*y + 17 = -0, y - 14 = -3*a. Let h be z(a). Let l(s) = 3 - 2*s - 5 + h. Let r(g) = 6*g. Determine r(l(j)). -12*j Let j(t) = -139*t**2. Let n(b) be the first derivative of 8*b**3/3 - 3*b**2/2 + 5846. Give n(j(r)). 154568*r**4 + 417*r**2 Suppose 3*y + s - 7 = -3, y = 2*s + 6. Let z(p) = 9*p**y + 0 + 0 - 687*p + 678*p. Let v(m) = 3*m. Determine z(v(k)). 81*k**2 - 27*k Let t(h) = -1445*h + 13158. Let y(g) = -19*g + 172. Let d(c) = -2*t(c) + 153*y(c). Let j(l) = 3*l**2 - 1. What is j(d(z))? 867*z**2 - 1 Let j(t) = 121281*t + 41 - 121257*t - 41. Let g = -4 - -9. Let z(n) = 2*n**2 + 3. Let q(b) = 4*b**2 + 5. Let k(c) = g*z(c) - 3*q(c). What is j(k(u))? -48*u**2 Let d(c) = 4700*c - 225. Let h(p) = 42*p - 2. Let v(i) = -2*d(i) + 225*h(i). Let l(s) = 30*s. Give v(l(w)). 1500*w Let r(j) = 2748*j - 3. Let h(w) = -105*w**2. What is r(h(y))? -288540*y**2 - 3 Let u(h) = 384*h + 3. Let i(n) = -191*n - 1. Let j(q) = -11*i(q) - 5*u(q). Let k(g) = 2*g. Calculate j(k(p)). 362*p - 4 Suppose 4*p - 8 = 0, -3*c + 2*p + p = 57. Let w = c - -19. Let f(q) = 9*q**w + 4*q**2 - 19*q**2. Let x(m) = -2*m. Determine f(x(i)). -24*i**2 Let y(c) = -1198*c - 713. Let k(o) = o. Give k(y(v)). -1198*v - 713 Let k(p) = -918*p**2 - 894*p**2 - 3 + 1070*p**2 + 3. Let c(q) = q. Calculate c(k(b)). -742*b**2 Let t(w) = 2530*w + 1. Let v(f) = -28*f - 30*f - 18*f + 75*f. Calculate v(t(k)). -2530*k - 1 Let s(d) be the third derivative of d**4/6 - 1850*d**2. Let l(n) = -34*n - 3. Determine l(s(g)). -136*g - 3 Let n(k) = -k. Let l(c) = -119*c**2 - 124*c**2 + 4*c + 371*c**2 - 124*c**2. What is n(l(o))? -4*o**2 - 4*o Let o(p) be the third derivative of -p**4/12 - 2*p**2. Let i(y) be the third derivative of 103*y**4/24 - 5335*y**2. Calculate i(o(w)). -206*w Let y(x) = 10*x + 1. Let t(k) be the second derivative of k**3 + 1136*k. Give t(y(n)). 60*n + 6 Let v(o) = -35*o**2. Let u(m) = 7*m. Let n(z) = -8*z - 2. Let t(x) = x + 1. Let w(d) = n(d) + 2*t(d). Let h(l) = -5*u(l) - 6*w(l). What is h(v(q))? -35*q**2 Let o(h) = -27*h**2. Let y be -1*(6/(-4))/(2/4). Let c(p) = -y*p**2 - 4*p**2 + 6*p**2. Determine c(o(s)). -729*s**4 Let a(i) = i + 167822. Let c(v) = v + 72. Give a(c(t)). t + 167894 Let j(c) = -c - 18251. Let i(z) = -228*z. What is i(j(r))? 228*r + 4161228 Let b(r) = -1134*r**2 + 2272*r**2 - 1141*r**2 + 2 + 3 - 1. Let l(g) = 11*g**2. Determine l(b(s)). 99*s**4 - 264*s**2 + 176 Let n(t) = -3*t. Let x(z) = 220148*z - 15. Determine n(x(i)). -660444*i + 45 Let a(w) = -7*w**2 + 36. Let g(u) = u - 2198. Give a(g(j)). -7*j**2 + 30772*j - 33
{ "pile_set_name": "DM Mathematics" }
olve -5*m + 3*w - 21 + 58 = 0, -3*w - 17 = -m for m. 5 Solve 2*d - 26 = 0, 4*i + 187*d - 184*d = 31 for i. -2 Solve -2018*u - 45 = -2019*u - 5*p, -36 = -4*p for u. 0 Solve 0 = g + 2*i + 7, 0 = -23*i + 24*i + 3 for g. -1 Solve 15*x - 13*x - 6 = 2*y, -3*y - 57 = -15*x for x. 4 Solve 4*b + 3*k + 762 - 760 = 0, 0 = -5*b - k - 8 for b. -2 Solve 1959*h = 1956*h - 2*f + 9, 3*h = -5*f for h. 5 Solve -2*l - 3*h = 12*l + 27, -2*h = -3*l + 275 - 294 for l. -3 Solve 4*u - 4*n = -16, 14*u - 18*u - 21 = n for u. -5 Solve -17*k - 4*y = -33*k + 15*k, 5*k = 5*y - 15 for k. -4 Solve 0 = 3*m + 4*h + 43 - 89, 8 = 2*h for m. 10 Solve -8*z - 65 = 7*n - 12*z, -2*n - 3*z = -56 for n. 1 Solve 108*u - 3*w - 12 = 110*u, 2*u = 3*w for u. -3 Solve -26 = -5*c - 9*w + 4*w - 1, -5*c + 5*w - 25 = 0 for c. 0 Solve 0 = v + 8*j + 17, 6*v - 4*j = -2*j - 2 for v. -1 Solve 0 = 3*z - 2*m - 3, -3*z + 37 = m + 43 for z. -1 Solve -3*x + 4*b + 5 = 0, 3*b + 13 - 8 = x for x. -1 Solve -18 = -2*x, -3*x + 38 = b + 9 for b. 2 Solve 4*q + 18756 - 18768 = 3*v, 5*q - 15 = -2*v for v. 0 Solve -r = 16, 40 = -q - 5*r - 57 + 19 for q. 2 Solve -2*h + 40 = -3*s, 1334 - 1275 = 3*h - 4*s for h. 17 Solve 5*y - 27 = -3*g, 2*g + g - 15 = -3*y for g. -1 Solve v + 19 = -5*f, -v + 6*f = 183 - 197 for v. -4 Solve 5*s = 3*f + 29, f - 16 = 441*s - 443*s for f. 2 Solve 465 = s - 2*i + 458, 2*s + 2*i = -22 for s. -5 Solve 17*v - 20*v + 13 = -2*q, -19*q = 4*v + 26 for v. 3 Solve -17 = -3*u - 714*k + 718*k, -2*u = -5*k - 2 for u. 11 Solve o + 6*g = 4*o - 78, -9*o - 4*g - 8 = 0 for o. 4 Solve -4*p = -2*c + 16 - 6, 3*c + 13 = -p for c. -3 Solve -41*o - 10 = -42*o - 5*h, -19 = -3*o - 4*h for o. 5 Solve -2*x - 2*s + 2 - 10 = 0, 2*x - 18*s - 52 = 0 for x. -1 Solve 124*t - 8*a - 56 = 128*t, 5*a = -20 for t. -6 Solve -x + 2*x = -1008*r + 1012*r, -4*r - 12 = 2*x for r. -1 Solve f - 27 = -47*d + 51*d, -d = -4*f + 63 for d. -3 Solve 4*t - 2*d = -64, 9026*t = 9024*t - 5*d - 44 for t. -17 Solve k + 31 = -5*s, -6112*k - 10 = -6118*k - 2*s for k. 4 Solve 5*g + 27 = -215*a + 223*a, 5*g - 25 = -5*a for a. 4 Solve 63*q - 67*q - 20 = c, 0 = 3*q - c + 15 for q. -5 Solve 3*i = 4*k + 25, -84*k + 4*i - 20 = -82*k for k. -4 Solve 6*z + 0 = 8*k + 3*z - 10, 0 = -3*k + k + 2*z for k. 2 Solve -3 + 6 = d + 7, -7*a = 4*d + 44 for a. -4 Solve -3*p + 4 = -2*i, i + 30*p - 12 = 28*p for i. 4 Solve 9*j - 5*h = 5, 28 - 33 = j + 5*h for j. 0 Solve 326 = -4*o - 3*a + 346, 4*a - 45 = -9*o for o. 5 Solve -4*a + y = 15 - 22, 6*a - y = 13 for a. 3 Solve -5*h - 3*n - 1 = 4, 0 = -5*h + 5*n + 35 for h. 2 Solve -24 = -2*m + v, 5*v - 16 = -21*m + 298 for m. 14 Solve -4*f + 421*s - 418*s + 17 = 0, -4*s - 11 = -3*f for f. 5 Solve 3*j - 31 + 22 = 3*a, 2*j = -a - 6 for a. -4 Solve 0*w + 6 = v + 2*w, -3*w + 27 = -3*v for v. -4 Solve -5*d - w = 10, 4*d - 109 = 5*w - 88 for d. -1 Solve -2*h + 2*n + 14 = 0, n + 7218 - 7215 = 0 for h. 4 Solve -28*u + 30*u = 5*w - 2, w - 4 = 4*u for u. -1 Solve 3*x + 5*w = 10, -4*x - 3*w = -150 + 133 for x. 5 Solve -3*d - 576 = -591, -3*d = -4*n - 11 for n. 1 Solve 3*z = 3*c + 48, 3*z + 36*c - 29*c + 92 = 0 for z. 2 Solve -3*b + 105 = 6*o, 2*o = -5*b + 780 - 741 for o. 17 Solve 3*t + 2*o + 16 = 0, 4*o = 5*t + 10 + 2 for t. -4 Solve 8 = 3*z + 5*j, 855*j - 857*j = 10 for z. 11 Solve 5*k = -122758 + 122738, -5*f = -2*k - 58 for f. 10 Solve -4*y = 3*b + 7, -7*y - 54*b + 53*b = 8 for y. -1 Solve -5*n - 2*k = -2, -n - 1962*k + 1967*k = 5 for n. 0 Solve -229*k = 3*p - 233*k + 61, -p + 2*k = 29 for p. -3 Solve -3*r - m = 41 - 22, 0 = -3*r + 2*m - 34 for r. -8 Solve -4*w + 560 = -2*m + 554, 2*w + 9 = 5*m for m. 3 Solve 5*q = 4*o + 3, 78447*o - 4*q - 6 = 78448*o for o. -2 Solve -105 = 30*d - 5*x, 2*x = 12*d - 10*d + 2 for d. -4 Solve -3*u - 9 = 3*z, -8330*z + 8341*z + 2*u = 12 for z. 2 Solve -4*u = 4*x + 8, -23168*x + 23169*x - 3*u = 14 for x. 2 Solve -429 + 441 = 5*u - 2*s, 4*u - 4*s = 12 for u. 2 Solve -u + 5*q = 32 - 47, -3*q - 9 = 4*u for u. 0 Solve -4*k = 7*u - 6, 4*k + 3*u - 4 = -6 for k. -2 Solve 5*s - 154*w = -155*w + 34, 0 = 2*s - 3*w - 17 for s. 7 Solve 401*i = 2*o + 403*i, 4*o - 4*i = 16 for o. 2 Solve 5*v - 14 = 2*a, -2*v = -25*a + 21*a - 12 for a. -2 Solve -16 = -4*c + 4*x, -147*x - 16 = -4*c - 151*x for c. 4 Solve 3*a - 1 = 2*b, 90*b = -a + 93*b - 9 for a. 3 Solve -3*i = 30, 3*a = 11*i - 14*i - 36 for a. -2 Solve 250*h - 246*h = -16, -r - 2*h + 2 = 6 for r. 4 Solve 0*k - 3*k - 11016*c + 11012*c = -30, 0 = 4*c - 24 for k. 2 Solve -2*v + 14 = x + 5, -3*x + 3*v + 45 = 0 for x. 13 Solve -2*q = f + 11, -6 = -102*q + 104*q + 2*f for q. -8 Solve 15 = 2*d + 3*y, -4*d - 5942*y + 6 = -5944*y for d. 3 Solve 6*d - o - 35 = 0, 5*o = -5*d + 2*o + 10 for d. 5 Solve 67*w - 71*w = -2*a + 14, -11 = 5*w + 4*a for w. -3 Solve 49*h - 2*o - 6 = 54*h, 0 = -3*h - 5*o - 15 for h. 0 Solve 0 = 2*o + 3*c - 71, 0 = 4*o + c - 21649 + 21632 for o. -2 Solve -5*r + 4*q - 2068 = -2105, 0 = -3*r - 2*q + 9 for r. 5 Solve 2*u = b - 15 + 41, 5*b + 195 = 23*u for u. 5 Solve 2*a - 75*f + 85*f - 22 = 0, 2*f - 6 = -2*a for a. 1 Solve 83*h = -b + 86*h - 3, 4*b = 2*h + 18 for b. 6 Solve 6 = -2*p, 4*p - 6 = 3*d + 23*p - 11*p - 10*p for d. -4 Solve -23*m + 3*v - 9 = -0*v, -4*m + 47 = -v + 50 for m. 0 Solve -99*w - 5*o + 21 = -96*w, 5*w - 5*o - 35 = 0 for w. 7 Solve 10 = 2*t, 4*g - 1221*t = -1220*t - 5 for g. 0 Solve 0 = -3*l - 4*d - 74, 616 = -4*l - d + 604 for l. 2 Solve w + 1 = g, 3*w + 3*g - 276 = -249 for w. 4 Solve -2*p - 53 = 12*j - 21, 5*p - 19 = 3*j for p. 2 Solve -2*p + 2*z = -10, 0 = 2*p + 33*z - 30*z - 10 for p. 5 Solve z + z = -4*g + 8, 5*z - 20 = -3*g for z. 4 Solve 134*c - 132*c = -6*r + 18, -5*c - 9 = -3*r for c. 0 Solve -21 = 3*w - 9, 0 = -5*v - 2*w + 57 for v. 13 Solve -4*c = q + 2, 5*c = -5*q + 287 - 312 for q. -6 Solve -w - 5*k = 51 - 56, -3*k - 14 = 4*w for w. -5 Solve -2*g - 12 = -2*d, 322*g - 318*g + d = -4 for g. -2 Solve -3*b - t = 6, -187*b + 185*b = t + 5 for b. -1 Solve -5*z + 4*f = 200 - 192, 0 = 5*z - 2*f + 14 for z. -4 Solve 4*q - 1 = v, -168*q = 4*v - 166*q + 22 for v. -5 Solve 4*l + 21 = 3*b, 2*b - 34 + 20 = 3*l for l. 0 Solve 5*w = -5*c - 15, 5*c - 3*w = 472 - 463 for c. 0 Solve 4*n = -3*k + 13, 2*n = 4*k + 371 - 359 for n. 4 Solve -761*m = -2*v - 763*m + 8, -v = 3*m - 4 for v. 4 Solve r + 1098 - 1105 = 2*a, 3*a - r = -9 for a. -2 Solve 4*x - 5*o = -36, -133*o + 32 = -3*x - 128*o for x. -4 Solve -68*w - 32 = 2*t - 89*w, 3*w + 4 = 2*t for t. 5 Solve 4*k - 4*o = -13*o - 95, 6*k + 2*o = 11*k - 27 for k. 1 Solve d + 4*f - 1542 + 1550 = 0, 5 = -d - 7*f for d. -12 Solve 4*a + 10 = 2*v, 3*v - 1434 = 4*a - 1419 for a. 0 Solve 3*y = -5*f + 46, -106*f + 10 = -105*f + y for f. 8 Solve 4*s + 4 = -13*b + 9*b, -4*s = -4*b + 36 for s. -5 Solve -4*v = 0, 5*j - 10*v = -13*v - 30 for j. -6 Solve 9*v - 8*v = 5*l, v = 3*l - 4*v for l. 0 Solve 0 = 4*q + 4*y - 20, 24*q - 17*q = 4*y - 20 for q. 0 Solve 8 = 8*p - 3*l + 2*l, -135*l = -139*l for p. 1 Solve 3*c + 5*z + 67 = 0, -c - 5*z + 1129 = 1168 for c. -14 Solve -6 = -2*d, -54*d + 51*d - 11 = -5*z + 3*z for z. 10 Solve -714 = -5*q - 689, -3*i + 5*q = -8*i for i. -5 Solve -4*x + 2*x + 2*o = -6*x, -o = -x + 3 for x. 1 Solve 20 = -4*d - q, 2*q + 31 = 198737*d - 198742*d for d. -3 Solve 2*d + 0*d + 4 = 0, 4*y + d = y - 26 for y. -8 Solve 2*g + 5*a = -6, g + 5626*a + 3 = 5631*a for g. -3 Solve -3*r + 8 = -3*n - 34, -21 = -3*r - 4*n for r. 11 Solve 643*a - 5*b + 3 = 642*a, 22*a - 43 = b for a. 2 Solve -11*o + 6 = -3*j - 8*o, 10*j = 2*o + 20 for j. 3 Solve 4*j - 5*a = -7, -j + 32*a - 2 = 31*a for j. -3 Solve -4*u + 4*m = -0 + 12, 4*m = 6*u + 14 for u. -1 Solve -6*t = 3*r, 147*r - 142*r - 36 = 2*t for t. -3 Solve -23 = 10*y - 7*y + 4*r, -r - 7 = 2*y for y. -1 Solve -4025*f + 4024*f + 3 = 3*s, -f + 1 = 2*s for f. -3 Solve -4*s = -4*f - 16, -2*s + 17104 = -f + 17100 for f. -4 Solve 136*j - 141*j = 4*t + 29, -5*j + 2*t - 23 = 0 for j. -5 Solve 3*g + 4 = -2*z, -106*z - 7 = -g - 105*z for g. 2 Solve -2*d - 5 = m, -20*m + 22*m + 3 = 3*d for d. -1 Solve -s - 467 = -4*j - 506, 0 = -4*j - 36 for s. 3 Solve 2*n + 50*v = 49*v + 2, -3*v - 18 = 0 for n. 4 Solve 3*a - 93*r = -91*r + 19, 5*a - 31 = 3*r for a. 5 Solve 4*l - 70 = -10*q, -5 = -2*q + 58*l - 57*l for q. 5 Solve -15*g = -2*y - 161, -61 = -5*g - 27*y + 24*y for g. 11 Solve 0
{ "pile_set_name": "DM Mathematics" }
*t**3 wrt j. 47*t**3 + 3*t What is the derivative of -65*d**3*x**2 + 3*d**3*x - 693*d**3 + x wrt x? -130*d**3*x + 3*d**3 + 1 Differentiate 52*n**2 + 9*n + 8223 wrt n. 104*n + 9 What is the third derivative of -226*v**5 + 709*v**2? -13560*v**2 What is the derivative of -276*z**4 - 20360 wrt z? -1104*z**3 Find the second derivative of 269*t**4 - 2*t**3 + 2*t**2 - 222*t. 3228*t**2 - 12*t + 4 What is the second derivative of 1034*t**2*w**2 + 9*t + 101*w**2 wrt t? 2068*w**2 What is the third derivative of -11800*m**6 + 2807*m**2 + 3 wrt m? -1416000*m**3 Find the third derivative of -3*a*o**3*r**3 + 73*a*o**3*r**2 - 4*a*o**2 + 2*o**2*r**3 + o**2*r wrt o. -18*a*r**3 + 438*a*r**2 Find the second derivative of 13*c**3*g**2*s**2 + 2*c**3*g - 3*c**3*s - 4*c**2*s**2 - 25*c + 138*g**4 - g wrt g. 26*c**3*s**2 + 1656*g**2 What is the second derivative of -54*c**3*y**5 + 5*c**3*y + 85*c**3 - 2*y**5 wrt y? -1080*c**3*y**3 - 40*y**3 Find the second derivative of -24*k**3 + 5*k**2 + 2363*k. -144*k + 10 What is the second derivative of -h**4*r + 33*h**4 - 7*h**3*r - 507*h*r wrt h? -12*h**2*r + 396*h**2 - 42*h*r What is the second derivative of -322*c*i**2 + c*i - 196*c wrt i? -644*c What is the third derivative of -4857*c**2*d**2*n**3 - c**2*n**3 - c**2 + 2*c*d**2*n**2 + 68*c*d**2*n + 5*c*n wrt n? -29142*c**2*d**2 - 6*c**2 What is the third derivative of 29*d**4 + 7*d**3 + 514*d**2? 696*d + 42 Find the second derivative of -692*d**4 + 2*d**3 + 972*d wrt d. -8304*d**2 + 12*d What is the third derivative of -2*f**2*g**3 - 191*f**2*g*x - 559*f*g**3 - 3*f*g**2 - g**3*x - 2*g**2*x + 1 wrt g? -12*f**2 - 3354*f - 6*x Find the second derivative of 491*r**2*t**3 + 19*r**2*t + 2*r**2 + 3*r*t**4 + 4*r*t + 2*t wrt t. 2946*r**2*t + 36*r*t**2 Find the second derivative of -539*z**3 - 1091*z wrt z. -3234*z What is the third derivative of -684*o**4 + 1433*o**2 wrt o? -16416*o Differentiate 6*r**3*v**3*x + 19*r**3*v**3 - 8*r**2*v**3*x - v**3 with respect to x. 6*r**3*v**3 - 8*r**2*v**3 What is the second derivative of 21239*i**2*p + 6291*i*p + 2*i wrt i? 42478*p What is the derivative of -20*w**3*y**2 - 5*w**2*y**2 + y**2 - y wrt w? -60*w**2*y**2 - 10*w*y**2 Find the third derivative of 22*g**3*j**4 + g**3*j - 12*g**2*j*p - g*j**4*p + g*j**2*p - j**4 wrt j. 528*g**3*j - 24*g*j*p - 24*j Find the second derivative of -625*w**3 + 572*w wrt w. -3750*w Find the first derivative of 2*j*k**2 + 3*j*k - 2*j + 4*k + 557 wrt k. 4*j*k + 3*j + 4 What is the second derivative of 180*s**2 + 16*s - 1? 360 Differentiate 663*t*y - 167*t - 4 with respect to y. 663*t What is the derivative of 111*l**3 - 25 wrt l? 333*l**2 Find the third derivative of -4*j**6 - 6*j**5 - 5*j**2 + 11. -480*j**3 - 360*j**2 Find the first derivative of -17*m**3*z - 144*m**3 - 3*m*z wrt z. -17*m**3 - 3*m What is the second derivative of -1184*h**2*k + 902*h*k - 1 wrt h? -2368*k What is the first derivative of 2*t*w**3 - 6*t*w**2 - 68*t - 2252*w**3 wrt t? 2*w**3 - 6*w**2 - 68 Differentiate 739*d + 692 with respect to d. 739 What is the first derivative of -1362*a**2 + 299? -2724*a Differentiate -7*a**3*r - 16*a*r + 18*r - 3 with respect to a. -21*a**2*r - 16*r What is the second derivative of 12*b**3 + 37*b**2 + 118*b + 5 wrt b? 72*b + 74 Find the second derivative of -29*z**3 - 5*z**2 + 183*z + 1 wrt z. -174*z - 10 What is the second derivative of 2114*s**3*z**3 + 5*s**3 + s*z**3 + 4*s*z**2 - z**3 + 6*z wrt s? 12684*s*z**3 + 30*s What is the third derivative of 213*p**5 + 332*p**2 wrt p? 12780*p**2 Differentiate 2586*l**2*t + 794*l**2 - 3 with respect to t. 2586*l**2 What is the first derivative of -150*h*n - 4*n - 2 wrt h? -150*n What is the second derivative of -5*w**3*y**4 + w**3*y + 3*w**2*y + 11*w*y**5 + 396*y wrt y? -60*w**3*y**2 + 220*w*y**3 Find the first derivative of 18*m**4 - m**2*q - m**2 + 149*q wrt m. 72*m**3 - 2*m*q - 2*m Differentiate 326*j**2 - 4*j - 3121 with respect to j. 652*j - 4 What is the first derivative of -564*t*u*x - 2*t*u + 36*u*x - 18*x wrt t? -564*u*x - 2*u What is the third derivative of -240*c**6 - c**5*l**3 + 4*c**2*l**2 + c*l**3 - l wrt c? -28800*c**3 - 60*c**2*l**3 Differentiate -447*c**2*x - 7795*c**2 + 13*x with respect to x. -447*c**2 + 13 What is the derivative of 1416*f + 927 wrt f? 1416 Find the third derivative of 2*p**6 + 266*p**5 - 29*p**2 - 2. 240*p**3 + 15960*p**2 What is the third derivative of 45*d**4*k**3 - 2*d**4*k**2 - 2*d**2*k**3 + 5*d**2*k + 8 wrt d? 1080*d*k**3 - 48*d*k**2 Find the third derivative of 195*g**3*y - 60*g**2*y - g**2 wrt g. 1170*y What is the derivative of -1130*n**2 + 3*n + 185? -2260*n + 3 What is the third derivative of 170*b**3*h**4 - 6*b**3*h - 45*b**3 + b**2 + 2*b*h**2 - 3*h**6 wrt h? 4080*b**3*h - 360*h**3 Find the third derivative of -2552*n**3 - 51*n**2 - 18. -15312 Find the third derivative of -i**2*o**3*u - 6101*i**2*o**3 + 2*i**2*o**2 - 3*i**2*o*u + 25*i**2*o wrt o. -6*i**2*u - 36606*i**2 What is the third derivative of -10*j**3*n**3 + 34*j**3 - 341*j**2*n + 4*n**3 wrt j? -60*n**3 + 204 Find the first derivative of 3*m**3*o*s + 3*m**3*s*u + 4*m*o*s + 2*m*s*u**2 - 8*o*s + 12*o*u**2 wrt u. 3*m**3*s + 4*m*s*u + 24*o*u What is the third derivative of 4366*w**3 - 203*w**2 + w? 26196 What is the second derivative of -2*a*d**4 - 8*a*d**3 + 4*a*d**2*g - a*d*g + 18*a*d + a*g - d*g wrt d? -24*a*d**2 - 48*a*d + 8*a*g Differentiate -23914*x**2 + 24140 with respect to x. -47828*x Differentiate 137*m*x**3 - 4*x**3 - 28*x**2 - 26 with respect to m. 137*x**3 What is the third derivative of -3366*a**4 + 2*a**2 - 1481 wrt a? -80784*a Find the second derivative of 11994*n**5 + n + 3439 wrt n. 239880*n**3 Differentiate 233*b*d*f*p + 2810*b*d - b*f + 2*d*f*p with respect to p. 233*b*d*f + 2*d*f Find the second derivative of 10*i**2*r**5 - 3*i**2 + 5*i + 2*r**5 - 6*r**2 - 15*r wrt r. 200*i**2*r**3 + 40*r**3 - 12 Differentiate 457*a**2*d**2 + a**2 - 3710*d**2 wrt a. 914*a*d**2 + 2*a Find the third derivative of g**2*t**3 + 12*g**2*t**2 - 2*g*t - 298*t**3 - 14*t**2 wrt t. 6*g**2 - 1788 Differentiate -c*g**2*r - 2*c + 107*g**2*r**3 + 11*g**2 - 7 wrt r. -c*g**2 + 321*g**2*r**2 Differentiate 5*g*r**2*t - 2*g*r*t - 66*g*r + 210*r**2*t + r*t wrt g. 5*r**2*t - 2*r*t - 66*r What is the first derivative of l*q*w**3 - 66*l*q*w**2 + 5*q*w**3 + 25*q*w + q wrt l? q*w**3 - 66*q*w**2 What is the third derivative of -2286*s**3 - 1823*s**2 wrt s? -13716 What is the third derivative of -8*s**3*z**5 + 104*s**3*z**2 + 5*s**3*z - 27*z**5 wrt z? -480*s**3*z**2 - 1620*z**2 What is the third derivative of -13*l**3*w**2 - 45*l**3 - l**2*w - l + 21*w**2 wrt l? -78*w**2 - 270 Find the third derivative of -3*a**5*w + 482*a**3*w**3 + 2*a**2*w + 9*a*w**3 + w**3 wrt a. -180*a**2*w + 2892*w**3 What is the third derivative of -6970*b**5 + 668*b**2 + 2*b - 3? -418200*b**2 What is the third derivative of 4*c**5 + c**4 + 151*c**3 + 22380*c**2 wrt c? 240*c**2 + 24*c + 906 Find the third derivative of 40*k*n*o**3 + 2*k*n*o + k*o**3 + n**2*o**3 + 45*n**2*o**2 + 2*n**2*o wrt o. 240*k*n + 6*k + 6*n**2 Find the second derivative of -16*i*k**3 - 27*i*k**2*s - 27*i*k*s + 3*i*k - i - k**5*s - k wrt k. -96*i*k - 54*i*s - 20*k**3*s What is the derivative of 4*l**2*o*u - l**2*o + 10*l**2*u - 6*l**2 - 18 wrt u? 4*l**2*o + 10*l**2 Find the third derivative of 202*l**2*m**3 + l**2*m + 5*l**2 - 2*m**2 wrt m. 1212*l**2 What is the third derivative of -83*d*l**4 + 4*d*l**3 + 2*d*l**2 - d*l + l**4 - 2*l**2 - 71 wrt l? -1992*d*l + 24*d + 24*l Find the third derivative of -3*h**5 + 16*h**3 - 2*h**2 - 40. -180*h**2 + 96 What is the second derivative of -6*h**2*s + 69*h**2 + 25*h*s + 2*h - 2*s wrt h? -12*s + 138 What is the third derivative of 122*b**5*r - b**4*r - 145*b**2*r - 2*b**2 wrt b? 7320*b**2*r - 24*b*r Find the first derivative of 6*n**3*p + 6*n**3*q - 36*n + 9*p*q**3 - q**3 wrt q. 6*n**3 + 27*p*q**2 - 3*q**2 What is the second derivative of -2*k**3*y + 472*k**2*y - 121*k + 3*y wrt k? -12*k*y + 944*y What is the third derivative of -58*q**4 - 2*q**3 + 123*q**2 wrt q? -1392*q - 12 Find the third derivative of -2*x**4*y**3 - 5*x**4*y**2 - 5*x**3*y - 2*x**2 - 8*y**3 wrt x. -48*x*y**3 - 120*x*y**2 - 30*y Find the first derivative of 5*j*l**3 - 2*l**3 + 121 wrt j. 5*l**3 Find the first derivative of 46*w**4 - 442
{ "pile_set_name": "DM Mathematics" }
tive of -p**4/12 - 7*p + 1. Let b(g) be the first derivative of z(g). What is b(l(j))? -4096*j**2 Let m(j) = -12*j - 17*j - 12*j + 45*j - 13*j. Let k(f) = -f**2. Calculate k(m(l)). -81*l**2 Let v(m) = 4*m - 129. Let g(l) = -10*l. Let p(i) = 28*i. Let h(z) = -17*g(z) - 6*p(z). Give h(v(f)). 8*f - 258 Let l(z) = -150*z. Let w(a) be the third derivative of a**4/24 - 14*a**2 - 2. What is w(l(o))? -150*o Let q(u) = -2*u**2 - 2*u + 4. Let a(w) = w**2 + 3*w - 5. Let o(g) = -4*a(g) - 5*q(g). Let m(d) = -3*d**2. Give o(m(r)). 54*r**4 + 6*r**2 Let h(r) be the first derivative of r**5/60 + 7*r**2/2 - 2. Let l(v) be the second derivative of h(v). Let f(s) = -3*s. Determine l(f(c)). 9*c**2 Let h(r) = 4*r**2 - 2*r - 4. Let y(n) = -15*n**2 + 7*n + 13. Let k(z) = -7*h(z) - 2*y(z). Let s(m) = -6*m**2. Give s(k(a)). -24*a**4 - 48*a**2 - 24 Let j(y) = -2*y. Let t(r) be the second derivative of 16*r**3/3 - r - 4. Give j(t(k)). -64*k Let v(w) = -w. Let o(l) be the first derivative of 1/2*l**2 - 7 + 0*l. Calculate v(o(z)). -z Let f(l) = l**2. Let h(t) = 45187*t**2. What is h(f(k))? 45187*k**4 Let n(s) = s**2. Let i = 16 - 32. Let q(h) = h**2 + 16*h + 7. Let m be q(i). Let x(u) = 13*u**2 - u + u - m*u**2. What is x(n(b))? 6*b**4 Let n(m) be the first derivative of -20*m**3/3 - 112. Let r(b) = -b**2. Determine n(r(i)). -20*i**4 Let f(a) = -68*a**2 + 148*a**2 - 79*a**2. Let l(w) be the second derivative of 5*w**4/12 - w. Determine f(l(s)). 25*s**4 Let m(a) = -738*a. Let t(i) = -551*i. Calculate t(m(f)). 406638*f Let w(y) = 2*y + 10. Let i be w(-4). Let x(o) = 2*o**i + o**2 - o**2. Let t(r) be the second derivative of 7*r**3/6 - r. Calculate t(x(s)). 14*s**2 Let x(q) = 38*q**2. Let t(b) = -25*b - 5. Let l(c) = -2*c - 1. Let u(s) = -5*l(s) + t(s). Give u(x(z)). -570*z**2 Let k(g) = -g. Let s(h) = 2*h**2 + 48487*h. Give s(k(d)). 2*d**2 - 48487*d Let f(m) = -3*m. Let o(l) = -4*l - 3. Let x be o(-2). Let j(a) = 3*a**2 - 2*a**2 - 4*a**2 - x*a**2. Calculate f(j(y)). 24*y**2 Let s(o) = 3*o. Let l(m) be the third derivative of 7*m**4/24 - 9*m**2. Let a(w) = -2*l(w) + 5*s(w). Let j(p) = 6*p**2. Give a(j(v)). 6*v**2 Let l = -4 + 6. Let x(m) = 0 + 0 - 4*m**l. Let b(r) be the third derivative of r**5/60 + 2*r**2. Calculate x(b(p)). -4*p**4 Let u(k) = -2*k. Let b be 1/2 + 10/4. Let a(j) = 2755 + b*j - 2755. Give a(u(c)). -6*c Let y(i) = -i. Let f(o) = 14561*o**2. Calculate y(f(x)). -14561*x**2 Let m(p) be the first derivative of 2*p**3/3 - 44. Let t(n) = 34*n - 51. Let h(v) = -v + 1. Let a(f) = -51*h(f) - t(f). What is a(m(l))? 34*l**2 Let x(h) = 3 - 138*h**2 + 155*h**2 + 0 - 3. Let a(q) = -16*q. Determine x(a(z)). 4352*z**2 Let s(u) = u + 1. Let w(f) = f - 3. Let b(i) = -3*s(i) - w(i). Let c(n) = -3*n. Calculate b(c(h)). 12*h Let k(o) = 5411*o. Let x(a) = -9*a. Determine k(x(r)). -48699*r Let a(d) be the first derivative of 4*d**3 + d**2 - 113. Let j(s) = -s. Calculate j(a(y)). -12*y**2 - 2*y Let i(w) be the third derivative of w**5/30 + 66*w**2 + 6. Let z(l) = 91*l - 21. Let f(d) = 9*d - 2. Let h(c) = -21*f(c) + 2*z(c). What is h(i(t))? -14*t**2 Let x(d) = 8*d**2 + 4*d - 5. Let c(f) = -7*f**2 - 5*f + 4. Let w(q) = 4*c(q) + 5*x(q). Let i(z) be the first derivative of w(z). Let t(k) = 2*k. Give i(t(u)). 48*u Let b be 4 + (-3 - -7 - 2). Let y(d) = b*d + 4*d - d. Let u(k) = -k**2. What is y(u(f))? -9*f**2 Let s(x) be the third derivative of x**5/20 - 7*x**2 + 3*x. Let d(a) = -4*a**2. What is s(d(m))? 48*m**4 Let f be (-1)/(-4) - (-46)/8. Let b(r) = -4*r - 3*r**2 + 10*r - f*r. Let k(d) be the first derivative of -d**2/2 - 4. Determine k(b(l)). 3*l**2 Let a(d) be the third derivative of 17*d**5/60 - 195*d**2. Let m(p) be the third derivative of -p**4/6 + p**2. Calculate m(a(v)). -68*v**2 Let l = 12 - 17. Let h(z) = 3*z - 10. Let q(s) = -2*s + 6. Let y(p) = l*q(p) - 3*h(p). Let d(v) be the second derivative of 4*v**3/3 - v. Determine d(y(a)). 8*a Let p(i) = -6*i**2. Let c be 48/21 + (-4)/14. Let n(y) = 8 - 10 + 2 - c*y. Determine n(p(j)). 12*j**2 Let w(j) = 191431*j**2. Let v(b) = 11*b**2. Calculate v(w(l)). 403104105371*l**4 Let h(a) = 3*a**2. Let n = 21 + -19. Let d(g) = -5063 - 6*g**2 + 5063 - 7*g**n. Give d(h(b)). -117*b**4 Let a(v) = 819*v - 252. Let u(w) = -3*w + 1. Let n(c) = -3*a(c) - 756*u(c). Let f(z) = 2*z**2. Determine f(n(d)). 71442*d**2 Let g(d) = 3*d. Let x = -168 - -304. Suppose x = -0*n + 2*n. Let o(y) = -y + n - 68. Determine g(o(t)). -3*t Let x(p) = p. Let o(v) = -5*v**2 - 5945*v. Give o(x(w)). -5*w**2 - 5945*w Let a(q) be the first derivative of -q**2/2 - 18*q - 421. Let z(m) = 5*m. Give a(z(b)). -5*b - 18 Let x(i) = 2*i. Let f(l) = -6*l. Let r(y) = -3*f(y) - 8*x(y). Let o(m) = 2*m. Let z(s) = 4*o(s) - 3*r(s). Let n(p) = p - 2*p - 8*p - 3*p. Give z(n(c)). -24*c Let i(p) be the first derivative of p**2/2 + 150. Let c(f) = -2*f + 15. What is i(c(o))? -2*o + 15 Let r(h) = h**2 - 91*h. Let p(g) be the second derivative of g**3 - 254*g. Give r(p(l)). 36*l**2 - 546*l Let i(u) = -5*u**2. Let a(y) = -2*y**2 - 200*y - 85. Give a(i(h)). -50*h**4 + 1000*h**2 - 85 Let q = -693 - -1306. Let v(n) = -q - 32*n + 613. Let m(d) = -2*d. What is v(m(h))? 64*h Let o(t) be the third derivative of t**5/10 - 3*t**2. Let w(a) be the first derivative of -2*a**3/3 + 2. What is w(o(s))? -72*s**4 Let b(c) = -16*c**2 - 21*c**2 + 47*c**2. Suppose 5*a - 91 = 44. Let u(p) = 27 - a + p**2. Give u(b(l)). 100*l**4 Let b(n) = 40*n. Let d(s) = 2*s**2 - 485. Determine d(b(q)). 3200*q**2 - 485 Let k(r) be the first derivative of -4*r**2 - 232. Let s(b) = b**3 - b**2. Let o be s(2). Let j(g) = -4*g + g + o*g. Determine k(j(c)). -8*c Let n(b) = -b. Let w(d) = 7580026*d**2. Give n(w(x)). -7580026*x**2 Let a(g) = -17*g**2 + 31*g**2 - 15*g**2. Let f(w) = -2*w**2 - 4*w**2 - w**2. Give a(f(o)). -49*o**4 Let h(z) = -17*z**2 - 87*z. Let q(t) = -21*t**2. What is h(q(d))? -7497*d**4 + 1827*d**2 Let m(t) = 3*t**2 + 3027*t - 2. Let w(f) = -11*f. Determine w(m(c)). -33*c**2 - 33297*c + 22 Let o(y) = 3*y**2 - 12. Let s(i) = 7*i - 7. What is s(o(d))? 21*d**2 - 91 Let s(v) = 10*v**2. Let b(m) = -214*m - 2*m**2 + 8*m**2 + 214*m - 5*m**2. Give s(b(p)). 10*p**4 Let a(s) = -456*s**2. Let q(w) = -155*w**2. Give q(a(y)). -32230080*y**4 Let g(u) = 213*u**2 + 2*u. Let d(b) = 77*b**2. Give g(d(k)). 1262877*k**4 + 154*k**2 Let q(g) = g**2 - 3*g + 70463. Let o(v) = -6*v. What is q(o(l))? 36*l**2 + 18*l + 70463 Let r(f) be the third derivative of f**6/360 - 3*f**3/2 + 12*f**2. Let i(h) be the first derivative of r(h). Let x(g) = -10*g**2. Determine i(x(q)). 100*q**4 Let j(h) = -7210*h - 3. Let l(a) = 2*a. Determine j(l(d)). -14420*d - 3 Let q(n) = 102 + 105 - 207 + 9*n**2 - 49*n + 15*n. Let z(w) = w. Calculate z(q(r)). 9*r**2 - 34*r Let m(r) = 5*r**2. Let v(i) be the second derivative of -i**5/120 - 4*i**3/3 - 4*i. Let a(y) be the second derivative of v(y). Calculate m(a(c)). 5*c**2 Let p(m) = 877416*m**2. Let z(y) = 4*y. Determine z(p(u)). 3509664*u**2 Let r(w) = -w**2. Let p = -12 + 12. Suppose 2*a - 14 = -p*a. Let u(b) = a*b - 4*b + 9*b. Calculate r(u(c)). -144*c**2 Let m(p) = 0*p**2 + 0*p**2 - 9*p**2. Let l(w) be the first derivative of w**6/360 - w**3/3 - 11. Let z(d) be the third derivative of l(d). What is m(z(n))? -9*n**4 Let h(q) = q**2. Let g(l) be the first derivative of 11*l**5/120 + 13*l**3/3 + 25. Let y(z) be the third derivative of g(z). Determine h(y(x)). 121*x**2 Let h(b) = 117*b**2 + 1. Let o(n) = 178*n. Determine h(o(q)). 3707028*q**2 + 1 Let m(l) be the second derivative of l**4/12 - l. Suppose -p + 153 = 8*p. Let i(k) = -6*k + p*k + k. Give m(i(v)). 144*v**2 Let s(u) = 2*u. Let c be 114/(-4) - 10/20. Let b = c - -40. Let k(l) = -b + 15*l + 11. Give s(k(m)). 30*m Let y(b) = 6175896*b**2. Let z(x) = -x. Calculate y(z(g)). 6175896*g**2 Let o(z) = 115*z. Let s(p) = -p - 13*p - 12*p + 31*p. What is o(s(h))? 575*h Let h(f) = -11*f + 76*f**2 + 15*f + 34*f**2 - 4*f. Let l(r) = r**2. Give h(l(c)). 110*c**4 Let y(c) = -183*c**2. Let p(l) = -4*l**2 + 2*l - 6. Let n(a) = -9*a**2 + 5*a - 15. Let u(h) = 2*n(h) - 5*p(h). Calculate y(u(j)). -732*j**4 Let y(q) = -22*q**2 - 17*q**2 - 21*q**2 + 59*q**2. Let w(k) = 15*k + 1. Calculate y(w(b)). -225*b**2 - 30*b - 1 Let t(n) = -2*n. Let z(x) = x - 15168. What is z(t(q))? -2*q - 15
{ "pile_set_name": "DM Mathematics" }
-4, 1/3 in decreasing order. h, 1/3, -13/6, -4 Suppose 2*s = 4*t - 16, 5*t + 5*s - 3*s - 11 = 0. Put 9, -5, t in increasing order. -5, t, 9 Suppose -4*w + 4 + 40 = 0. Let t = w - 9. Suppose t = 2*d + 6. Sort d, -0.2, -5 in increasing order. -5, d, -0.2 Let p = -0.3 + 0.8. Let n = 51 - 23. Let u be (n/49)/((-44)/(-14)). Sort 0.1, p, u. 0.1, u, p Let k = -4.0154 - 0.0446. Let i = k - -0.06. Let m = -5.9 + 6. Sort m, i, 0 in decreasing order. m, 0, i Let d be (-9 + 2 + -2)/(7/(-63)). Suppose -z - 3*k + d = -4*z, 2 = -z - 4*k. Sort 1, z, -3. z, -3, 1 Let o be 1 + 16*59/10. Let g = -95 + o. Sort 1/2, 5/2, g in decreasing order. 5/2, 1/2, g Let w be ((-44)/33)/((-2)/(-3)). Sort w, -5, -25 in decreasing order. w, -5, -25 Suppose -3*q + 2*p + 6 = 0, -5*q = -3*q + p - 4. Sort 4, -2, q, -4 in ascending order. -4, -2, q, 4 Let y = 283 + -283. Sort 3, y, 52, 2 in decreasing order. 52, 3, 2, y Let i = -1442 + 1529.3. Let o = 94 - i. Let z = o - 7. Put -6, 0.2, z in ascending order. -6, z, 0.2 Let t(h) = -h**2 + 5*h + 5. Let x be t(12). Let q = 75 + x. Suppose 0 = -2*v + 4*v - 2*z - 10, -5*z = 5*v + 15. Put v, q, -7 in increasing order. -7, q, v Let l = 83.9 - 16.9. Let z = -66.7 + l. Sort z, 2, 24 in ascending order. z, 2, 24 Let h = -236 + 237. Let k be 18/(-8) + 2 + -1. Put k, 3, h in descending order. 3, h, k Let g(r) = -r**2 + 422. Let o be g(21). Sort o, 2, -1 in descending order. 2, -1, o Let r(f) = f**3 - 12*f**2 + 12*f + 9. Let p be r(11). Suppose -p = 4*w + 2*h, -2*h = 5*w + 21 + 2. Sort 0, 5, w, -2 in descending order. 5, 0, -2, w Let i be 2059/(-710) + 1/(-10). Put i, -10, 0, -1 in ascending order. -10, i, -1, 0 Let p = 299 + -305. Sort -0.4, p, -0.13 in increasing order. p, -0.4, -0.13 Let y = 0 - -1. Let k = 3888/5 - 778. Put y, -1/3, k in descending order. y, -1/3, k Let k = 40 + -26. Sort 1, -4, k, -1. -4, -1, 1, k Suppose 5*v - 11 = a, -3*v - 2*a = -8 - 9. Let d = -262 - -258. Put -3, v, -2, d in ascending order. d, -3, -2, v Let p(y) = -5*y + 88. Let r be p(17). Put r, 17, 4, -5 in increasing order. -5, r, 4, 17 Suppose 0 = -9*o - 2*o + 275. Suppose -16*k = -21*k - o. Sort -1, -4, 2, k in descending order. 2, -1, -4, k Suppose 5*c = -0*c - 5. Let k = -64 + 68. Sort -2, k, c in ascending order. -2, c, k Suppose -184 = -45*g - 139. Suppose n = -3 - 2, -2*n = -4*r + 2. Sort r, -2/133, g. r, -2/133, g Let j(a) = a**2 - 13*a - 118. Let k be j(19). Sort 2, 1, k, 61 in decreasing order. 61, 2, 1, k Let s = -651.5 - -651. Put -47, -2/3, s, 2 in decreasing order. 2, s, -2/3, -47 Suppose -14 = 3*q - 10*q. Let b = -3.6 + 1.6. Put q, -5, b in descending order. q, b, -5 Let l = -12 + 5. Let t = -10 - l. Sort t, -18, -2 in decreasing order. -2, t, -18 Suppose 0 = -2*i - p, -i + 4*p = -3*i + 6. Sort 1, -2, i in increasing order. -2, i, 1 Let u = -0.55 - -0.05. Let r = -1.101 - -0.101. Put r, u, 9 in descending order. 9, u, r Let c = -48/161 - -2/161. Let b be (5 - -1)/(1 - -1). Let f be (-1)/(-1 - b/(-2)). Sort c, -1/2, f in ascending order. f, -1/2, c Let d = 236 + -188. Sort -5, -2, 2, d in ascending order. -5, -2, 2, d Let g = 6 + -11. Suppose 5*w - 106 = s + 2*s, -2*s + 121 = 5*w. Let n = w + -22. Put g, 2, n in descending order. 2, n, g Let a be (-169)/9 + (2 - 140/63). Let t = a + 21. Sort t, -3, -5, 4 in descending order. 4, t, -3, -5 Let y = -0.12 + 0.62. Let j = -17 + 9. Let u = j - -5. Sort -2, y, u. u, -2, y Let k = 2112 + -2115. Sort k, 535, 2. k, 2, 535 Let a = 71/228 - 5/12. Let s = -5 + 4.7. Put a, s, -2, 0.08 in ascending order. -2, s, a, 0.08 Let l = -1173.9 - -1306. Let o = l + -125. Let n = 7 - o. Put n, 0.2, -0.5 in descending order. 0.2, n, -0.5 Let h = -434 - -433. Sort -1/6, 0.2, h, 1.4 in decreasing order. 1.4, 0.2, -1/6, h Suppose -4*r + 10 = 2*n - 8, r + 5*n = 18. Suppose -9 = -j - 12. Let f be 1*((-1 - j) + 3). Put -2, r, f in decreasing order. f, r, -2 Let l = 37 - 40. Put 5, -4, 46, l in descending order. 46, 5, l, -4 Let g(f) = -8*f**2 - 35*f + 20. Let w be g(-5). Put -2, w, -10 in increasing order. -10, w, -2 Suppose -49*b = -45*b - 8. Sort 5, 35, -4, b in decreasing order. 35, 5, b, -4 Let u = -7/132 + -23/33. Let s be (3/(-5) - -1)/(-1). Sort u, -1/2, -4/7, s in ascending order. u, -4/7, -1/2, s Let i(q) = -3*q**2 + 9*q**2 + q**3 - 2*q**2 - 5*q + 9 - 8. Let d be i(-5). Sort -4, d, -2 in decreasing order. d, -2, -4 Let r = 207.4 + -207. Put 0, 5, r, 6 in descending order. 6, 5, r, 0 Let f = 1664 - 5173/3. Let r = 61 + f. Sort -8, -0.3, r in decreasing order. r, -0.3, -8 Let h be 13 - ((2 - -6) + 0). Sort h, 3, 106, 4 in ascending order. 3, 4, h, 106 Let q = -2.07 + -0.13. Let i = q - 3.8. Suppose -2*h - 2*h - 5*p + 29 = 0, -h - 4 = -p. Put i, h, 0.3 in increasing order. i, 0.3, h Let c(x) = x - 2. Let w be c(-6). Let f be (-10 - w)/((-1)/(-3)). Let p(g) = g**3 + 5*g**2 - 6*g - 1. Let a be p(f). Sort 10, 2, a in ascending order. a, 2, 10 Let k = -1.2 + 6.2. Let s = k - 5.4. Let l = 14.5 - 9.5. Put l, s, 3 in ascending order. s, 3, l Let g(r) = -r**2 - 14*r + 123. Let p be g(-20). Put 12, p, 4, -1 in descending order. 12, 4, p, -1 Let j(x) = -x**2. Let y(f) = 4*f**2 - 9*f + 10. Let o(b) = 3*j(b) + y(b). Let n be o(8). Sort -1/3, -1/5, n in ascending order. -1/3, -1/5, n Let m(z) = z - 6. Let i be m(4). Let u = -4 - -4. Let l = u + -1. Sort -4, l, i in descending order. l, i, -4 Let f be 8 - 4 - (1 + 3). Sort f, 0.07, -2/11, 0.5. -2/11, f, 0.07, 0.5 Let m = -112 + 112. Suppose 5*b + 20 = 10*b. Suppose 0 = -5*t + w + 18, -4*w - 1 = 3*t + 2. Sort b, m, t in decreasing order. b, t, m Let w be (-1)/(-7)*3 + 0. Suppose 0 = 15*i - 42*i - 123*i. Sort i, -0.4, 3, w. -0.4, i, w, 3 Let r be 2/1 + (-3)/3. Suppose -9*l - 156 = -48. Let c be (-13)/6 - 20/l. Sort r, -6/5, c. -6/5, c, r Suppose 0 = 5*l + 5*x - 45, -l = -2*x - x - 25. Suppose -5*k + 3*i - 2*i = 27, 2*k = 3*i - 16. Sort l, k, 1 in ascending order. k, 1, l Suppose r - 8 = -i - 4, 0 = 4*i + 5*r - 18. Suppose 2*h - 13 = l, l + i + 1 = 0. Let y = -2.9 + 3. Sort h, -3, y. -3, y, h Let t be 16/(-2)*(-8 - -6)/4. Suppose -2*i = -t*u + 3*i - 15, -4*i + 12 = 4*u. Suppose 0 = 2*s + s - 9. Sort u, s, 2 in increasing order. u, 2, s Let g = -4103.3 + 4103. Suppose -3*j - 6 = -6*j. Put 0.1, g, 5, j in descending order. 5, j, 0.1, g Let r = 48 + -51. Suppose -6*k = 16 + 8. Put 4, k, r in descending order. 4, r, k Let i = 137/115 - 9/23. Let z(y) = y**2 + 14*y - 622. Let g be z(-33). Put i, g, 0.1, 0.3 in increasing order. 0.1, 0.3, i, g Let s(t) = -t**2 - 7*t + 3. Let p be s(-7). Let d(n) = -2*n**3 + 3*n**2 - 18*n + 16. Let x be d(1). Sort p, 7, x in descending order. 7, p, x Let a(h) be the third derivative of -h**4/12 - 5*h**3/2 - 8*h**2. Let k be a(-9). Sort -1, 2, k. -1, 2, k Let r = -12 + 11.8. Let y be (6/(-18))/(2/4). Sort 0, r, y in decreasing order. 0, r, y Let a = 2/323 + -5495/646. Let v = a + 8. Put 0.2, v, 2 in ascending order. v, 0.2, 2 Let u = 6 - 6. Put -5, u, 8, -1 in increasing order. -5, -1, u, 8 Let d(t) = -2*t + 5. Let n be d(5). Let s = -577 - -577. Sort -1, n, -2, s. n, -2, -1, s Let x = -30 - -32. Let d be (-2 - (5 - 2))*-1. Sort -4, x, d. -4, x, d Suppose 4*d = 3*k + 4, -7*d + 5*k - 4 = -3*d. Suppose -l + 2*l + 1 = 0. Sort l, d, 15 in decreasing order. 15, d, l Let a = 49/220 + -1/44. Sort -3, a, -8, 0.3 in descending order. 0.3, a, -3, -8 Let t = -2 - 0. Suppose -2*p = -4*f + p + 6, -4*f = -p - 2. Let a be (-3 + f)*(-2)/(-54). Sort 0.3, a, t in increasing order. t, a, 0.3 Let b = 106 + -740/7. Let n be -4 + 2 + (-84)/4. Let r = 68/3 + n. Sort 7, b, r in descending order. 7, b, r Suppose 11*c - 3*b - 21 = 16*c, 3*c + 19 = -5*b. Put 6, -23, c in descending order. 6, c, -23 Let g = -64 + 43. Let k = g - -19.9. Let t = 0.8 + k. Sort t, 4, -3/4 in decreasing order. 4, t, -3/4 Suppose -3*y - 15 = -8*y. Suppose 0 = y*k - 0 - 6. Suppose 5*q + k*d - 1 = -0*d, 2*d = -4*q + 2. Put 1, q, 5 in descending order. 5, 1, q Let i(t) = 5*t**3 + 13*t**2 + 7*t + 2. Let k(v) = -2*v**3 - 6*v**2 - 3*v - 1. Let z(g) = -3*i(g) - 7*k(g). Let w be z(3). Sort 5, 3, w, -2 in decreasing order. 5, 3, w, -2 Let o be 1*(5*2)/(-2). Let y = 3113/5 + -623. Put o, 1/4, y, -6/7 in increasing order. o, -6/7, y, 1/4 Let r = 12 + -7. Let a = -622.5 - -623. Put r, 0.1, -0.5, a in ascending order. -0.5,
{ "pile_set_name": "DM Mathematics" }
-2*i + z. Find the second derivative of -i*c + 2*c + 4*c**2 + 0*c**2 + 3*c**2 wrt c. 14 Let p(y) = -5554*y**2 + 20*y - 310. Let m(q) = 2777*q**2 - 12*q + 155. Let u(j) = -5*m(j) - 3*p(j). Differentiate u(l) wrt l. 5554*l Let t(q) = -3*q - 32. Let p be t(0). Let s be (-16)/p*4/(-2)*-3. What is the third derivative of -10*b**2 + b**3 - b**3 - 3*b**s + 7*b**3 wrt b? 24 What is the derivative of 156*c + 12*c + c**2 - 87*c + 196*c - 1587 wrt c? 2*c + 277 Let f(y) be the first derivative of 101*y**7/7 + y**3/3 + 120*y + 2508. What is the third derivative of f(l) wrt l? 12120*l**3 What is the second derivative of -1 - 1798*p + p**3 + 50110*p**5 - 978*p - p**3 - 53779*p**5 wrt p? -73380*p**3 Let y(r) = 3269*r**3 + 4*r - 775. Let w(j) = 65379*j**3 + 81*j - 15504. Let z(o) = 4*w(o) - 81*y(o). Find the first derivative of z(d) wrt d. -9819*d**2 Let x(p) be the second derivative of 5*p**7/14 - 11*p**6/30 - 1199*p**3/6 + p**2 - 2*p - 114. Find the second derivative of x(k) wrt k. 300*k**3 - 132*k**2 Let p(a) be the second derivative of 1/5*a**5 + 0*a**4 - 5/2*a**3 + 247/2*a**2 + 16 - 2*a. Differentiate p(q) wrt q. 12*q**2 - 15 Let i be 283 - 6 - (1 + (0 - -2)). Suppose i = 3*z + 52. What is the second derivative of -12*n - 30*n - 2 + 71*n**5 - z*n**5 + 3*n**4 wrt n? -60*n**3 + 36*n**2 Let f(w) = 2*w. Let s = 2 + 1. Let b be f(s). Let u(y) = 6*y. Let h(z) = -6*z + 1. Let g(a) = b*u(a) + 5*h(a). What is the derivative of g(t) wrt t? 6 Let m(t) be the third derivative of 59*t**6/40 - 55*t**3 - t**2 + 71*t. What is the derivative of m(u) wrt u? 531*u**2 Suppose 3*p - 822 = 63. Suppose -4*c - 733 = -5*u, -4*u + 2*u = -c - p. Find the first derivative of -78*x + 13 + u*x - 79*x wrt x. -8 Let s(x) = -x**4 - x**2 - 1. Let n(u) = 7*u**4 - 31*u**2 - 547*u + 13. Let v(w) = -n(w) - 12*s(w). Find the second derivative of v(o) wrt o. 60*o**2 + 86 Let n(r) be the second derivative of 1/3*r**3 - 52*r + 0 + 0*r**4 + 0*r**5 + 11/2*r**2 - 1/5*r**6. Differentiate n(v) wrt v. -24*v**3 + 2 Let f(w) be the first derivative of 1587*w**4/4 + 2*w**3/3 + 180*w**2 + 6*w + 5890. Find the third derivative of f(o) wrt o. 9522 Let f(j) = 5000*j**2 - 54*j - 7. Let a(k) = -7503*k**2 + 80*k + 11. Let x(i) = 5*a(i) + 7*f(i). What is the second derivative of x(h) wrt h? -5030 Suppose 7*t = -3*f + 5*t - 3, t = -3*f. Find the second derivative of 61*y**3 - 47*y**3 + f - 7*y + 35*y**3 wrt y. 294*y Let d = -22 + 26. Let b(p) = -23*p + 32*p + 21*p**d - p**4. Let a(n) = 7*n**4 + 3*n. Let k(x) = -7*a(x) + 2*b(x). What is the second derivative of k(u) wrt u? -108*u**2 Let q(y) be the third derivative of y**7/105 + y**5/20 - 55*y**4/4 + 3827*y**3/6 + y**2 - 1586*y - 2. What is the first derivative of q(l) wrt l? 8*l**3 + 6*l - 330 What is the third derivative of 88*p**4 + 609*p**2 + 368*p**2 - p**3 + 719*p**2 + 2*p**3 - 2*p**3 wrt p? 2112*p - 6 Let m be (2/(-4))/(3/654). Let o = -72 - m. Find the first derivative of 22*f**2 + 17*f + 1 + 20*f - o*f wrt f. 44*f Suppose -4*x = -2*g - 20, 4*x - 3*g - 11 - 11 = 0. What is the derivative of 17*b - 2*b**3 + 9*b**x - 14*b - 42 + 2*b**3 wrt b? 36*b**3 + 3 Suppose 3*u + n + 53 = -91, 0 = -u - 2*n - 43. Let i = u - -51. What is the second derivative of -5*q**2 - 16*q + 5*q**i + 13*q**3 - 18*q wrt q? 78*q Let h(i) be the second derivative of 37/12*i**4 - 2 + 0*i**3 + 61/2*i**2 + 6*i. Differentiate h(f) wrt f. 74*f Let n be 44/33 - 6/(-9). Find the third derivative of -n*t**2 - 2*t + 65*t**3 + 75*t**3 + 2*t + 265*t**2 wrt t. 840 Let p(y) be the first derivative of 44*y**4 + 343*y - 112. Find the first derivative of p(n) wrt n. 528*n**2 Let a(g) be the first derivative of 53*g**5/5 - 5*g**4/4 + 1852*g**3/3 - 249. What is the third derivative of a(o) wrt o? 1272*o - 30 Let n(z) = -34*z**3 - 6*z**2 + 2*z - 11. Suppose 3*l + 1 = 2*l. Let f(h) = -h**2 + h - 1. Let k(b) = l*n(b) + 2*f(b). Find the third derivative of k(m) wrt m. 204 Find the second derivative of -3*h + 7401*h**3 - 9 + 6 - 24 + 19 - 2*h wrt h. 44406*h Let c(w) be the first derivative of -151*w + 75 + 299/4*w**4 + 0*w**3 + 0*w**2. Find the first derivative of c(g) wrt g. 897*g**2 Let u = -9 - -74. Let m = u - 61. Find the third derivative of -3*l**2 + 63*l**4 + 43*l**2 - 17*l**m wrt l. 1104*l Let t = 555 - 549. Find the third derivative of 48*z**6 + 113 + 2*z**2 - 22*z**6 - 33*z**4 - 1 - 25*z**t wrt z. 120*z**3 - 792*z Let j(y) = 7497*y + 279. Let l(t) = 14993*t + 566. Let x(d) = -5*j(d) + 3*l(d). What is the first derivative of x(u) wrt u? 7494 Let c(b) = b**2. Let t(g) = 4*g**2 - 9*g - 1. Let r(z) = -5*c(z) + t(z). Let k be r(-8). Differentiate 8 - 16 + k*w**2 - 25*w**2 wrt w. -36*w Let c(r) = 627*r + 1055. Let x(w) = 634*w + 1053. Let u(p) = -6*c(p) + 5*x(p). Differentiate u(z) wrt z. -592 Suppose -2*r + 907 = 335. Differentiate r - 18*p**3 + 4*p**2 - 276 - 4*p**2 with respect to p. -54*p**2 Let w(d) be the second derivative of 161*d**5/4 - d**4/4 - 282*d**3 + 4*d + 246. Find the second derivative of w(c) wrt c. 4830*c - 6 Let u(x) be the second derivative of -383*x**7/6 + x**3/3 - 2977*x**2/2 + 111*x + 7. What is the second derivative of u(t) wrt t? -53620*t**3 Let x(o) be the first derivative of 40*o**6 - 19*o**5/5 + 5680*o**3/3 - 7090. What is the third derivative of x(v) wrt v? 14400*v**2 - 456*v Let g(p) = -p**2 - p - 8. Let d(t) = 3047*t**3 + 2*t**2 - 3212*t + 16. Let f(a) = -d(a) - 2*g(a). What is the second derivative of f(k) wrt k? -18282*k Let h(o) = o**3 - 4*o**2 - 42*o - 25. Let p be h(9). Let a = 10 - 4. Find the second derivative of -a*f - 12*f**2 - f**p - 2*f**2 - 22*f wrt f. -30 Suppose 0*c + 14 = 7*c. What is the second derivative of -2*n**5 + n**c + 15*n**2 - 171*n + 89*n wrt n? -40*n**3 + 32 Suppose -188 = -3*b - i - 0*i, -3*b = 3*i - 180. Find the first derivative of -6 - 20 + b*o**4 - 3*o**3 + 3*o**3 wrt o. 256*o**3 Let t(u) be the third derivative of -u**6/120 + 19*u**5/60 + 23*u**4/3 + u**3/3 - 966*u**2. What is the second derivative of t(h) wrt h? -6*h + 38 What is the third derivative of 1418 - 2829 + 1414 + 23*r + 2*r**2 - 112*r - 47*r + 8596*r**4 wrt r? 206304*r Let n(y) be the first derivative of -44 + 4/3*y**3 + 0*y - 73/2*y**2. Find the second derivative of n(l) wrt l. 8 Find the third derivative of -136*g**5 - g**2 + 45 - 99 - 10*g + 4*g + g**6 + 13*g - 25 wrt g. 120*g**3 - 8160*g**2 Find the third derivative of -17*b + 305*b**6 - 1563*b**6 - 257*b**6 - 12556*b**4 - 54*b**2 - b**3 + 12556*b**4 wrt b. -181800*b**3 - 6 Let m(f) be the second derivative of 0 - 34*f + 13/3*f**4 - 1/30*f**6 + 0*f**2 + 0*f**3 - 1/4*f**5. What is the third derivative of m(g) wrt g? -24*g - 30 Let m = 19742 + -19742. Let r(k) be the second derivative of 1 + 0*k**3 - 8/3*k**4 + m*k**2 - k - k**5. What is the third derivative of r(j) wrt j? -120 Let r(v) be the third derivative of -2425*v**8/336 + 17*v**5/60 - v**4/24 - 678*v**2 + 2*v. Find the third derivative of r(d) wrt d. -145500*d**2 Differentiate 29*y**3 - 438*y**3 + 1383 - 132*y + 128*y + 5355 wrt y. -1227*y**2 - 4 Suppose -5*b + 45 = 5*h - 3*h, -4*h + 20 = 0. Let x(n) = 15*n + 923. Let j be x(-61). Differentiate p**4 - j - b + 5*p**4 - 3*p**4 with respect to p. 12*p**3 Suppose 5*f - 353 = -y, 5*f - 359 = -3*y - 0*y. Let p = f + -68. Find the third derivative of g**6 + 16 - 16 + 24*g**p wrt g. 120*g**3 Let g(i) = -i + 20*i + 10*i - 18. Let t = 8123 + -8122. Let d(s) = -1. Let k(z) = t*g(z) + 2*d(z). Differentiate k(q) with respect to q. 29 Let k(c) = 3*c**2 + 4*c + 4. Let y be k(-1). Suppose y*d = -13 + 70. What is the second derivative of d*h**5 - 23*h**5 - 11*h + 19*h**5 wrt h? 300*h**3 Suppose -w + v + 0 - 1 = 0, 2*v - 12 = -3*w. Find the third derivative of 10*n**w + n**2 - 203*n**6 + 204*n**6 wrt n. 120*n**3 Differentiate 8212 - 10643 - 9344 - 2637*z**2 with respect to z. -5274*z Find the third derivative of 15*s**4 + 6*s**3 + 69*s**5 - 10*s**4 - 329*s**2 - 3*s**3 - 5*s**4 wrt s. 4140*s**2 + 18 Let w = 19 + -18. Let a = w + 3. Find the first derivative of 7*k**4 + k**4 + 0*k**4 + 2*k**a + 8 wrt k. 40*k**3 Suppose 0*q + 102 = 2*q + z, q = 3*z + 65. Find the first derivative of 234*j**3 + 10 - q + 98 wrt j. 702*j**2 Let y(k) = -4*k**3 - 2*k**2 + 1. Let n(l) = 62*l**3 + 72*l**2 + 12*l + 52. Let c(h) = n(h) + 14*y(h). What is the seco
{ "pile_set_name": "DM Mathematics" }
682871. 3, 13, 113, 269953 What are the prime factors of 942449904? 2, 3, 11, 66109 List the prime factors of 512311168. 2, 4002431 What are the prime factors of 60898174? 2, 181, 168227 What are the prime factors of 1173277372? 2, 17, 17254079 What are the prime factors of 22484472? 2, 3, 17, 55109 List the prime factors of 790943601. 3, 7, 37663981 List the prime factors of 156669092. 2, 2579, 15187 List the prime factors of 515334878. 2, 14149, 18211 List the prime factors of 97152628. 2, 3539, 6863 What are the prime factors of 45055273? 691, 65203 List the prime factors of 30233313. 3, 11, 19, 16073 List the prime factors of 604945068. 2, 3, 7, 13, 17, 32587 List the prime factors of 114487786. 2, 7, 8177699 List the prime factors of 994032685. 5, 1321, 150497 List the prime factors of 525324. 2, 3, 43777 What are the prime factors of 2339486? 2, 727, 1609 List the prime factors of 5124708751. 5124708751 What are the prime factors of 2223731305? 5, 89, 97, 51517 List the prime factors of 519828671. 307, 461, 3673 What are the prime factors of 1889380648? 2, 236172581 List the prime factors of 533700046. 2, 11, 24259093 What are the prime factors of 6267786672? 2, 3, 7, 23, 179, 197 What are the prime factors of 673337081? 31, 211, 311, 331 List the prime factors of 269560097. 31, 1367, 6361 What are the prime factors of 628220874? 2, 3, 104703479 List the prime factors of 214972213. 19, 251, 45077 List the prime factors of 1383667814. 2, 20749, 33343 What are the prime factors of 575896662? 2, 3, 11, 83, 11681 List the prime factors of 296027073. 3, 239, 137623 What are the prime factors of 6331511597? 6331511597 List the prime factors of 604717648. 2, 37794853 What are the prime factors of 426316238? 2, 213158119 What are the prime factors of 2205277439? 691, 3191429 List the prime factors of 578082882. 2, 3, 13, 83, 89293 List the prime factors of 5635847972. 2, 5953, 236681 List the prime factors of 31727806. 2, 11, 1442173 List the prime factors of 789511064. 2, 23, 701, 6121 List the prime factors of 540545343. 3, 13, 13860137 What are the prime factors of 48792159? 3, 13, 17, 37 List the prime factors of 342315416. 2, 37, 293, 3947 List the prime factors of 776377818. 2, 3, 14377367 What are the prime factors of 70635129? 3, 23545043 List the prime factors of 5803005401. 5803005401 List the prime factors of 973446942. 2, 3, 13, 12480089 What are the prime factors of 1163881082? 2, 7, 13, 59, 283, 383 List the prime factors of 1729475067. 3, 83, 6945683 What are the prime factors of 332118791? 332118791 What are the prime factors of 10782859? 137, 78707 What are the prime factors of 59444899? 59444899 List the prime factors of 89607010. 2, 5, 8960701 List the prime factors of 565008041. 13, 23, 163, 11593 What are the prime factors of 266341593? 3, 7, 12682933 What are the prime factors of 38641420? 2, 5, 1932071 List the prime factors of 41923128. 2, 3, 13, 134369 What are the prime factors of 3171804760? 2, 5, 79295119 List the prime factors of 171857437. 17, 10109261 List the prime factors of 710541956. 2, 53, 59, 56807 What are the prime factors of 239279? 29, 37, 223 List the prime factors of 296842349. 296842349 What are the prime factors of 399608450? 2, 5, 137, 58337 What are the prime factors of 461955917? 137, 839, 4019 What are the prime factors of 574446066? 2, 3, 59, 1622729 What are the prime factors of 51336803? 7, 19, 385991 What are the prime factors of 2304403860? 2, 3, 5, 11, 317411 List the prime factors of 6950535. 3, 5, 17, 97, 281 What are the prime factors of 75017389? 37, 2027497 List the prime factors of 126810342. 2, 3, 991, 7109 What are the prime factors of 2347967954? 2, 17, 251, 275131 What are the prime factors of 3827746488? 2, 3, 97, 1644221 What are the prime factors of 53488787? 11, 349, 13933 List the prime factors of 96828043. 13, 233, 2459 What are the prime factors of 119606134? 2, 43, 1069, 1301 What are the prime factors of 4173479094? 2, 3, 695579849 What are the prime factors of 1028428069? 31, 33175099 What are the prime factors of 36753228? 2, 3, 31, 32933 What are the prime factors of 527913223? 17, 31053719 List the prime factors of 25756507. 7, 97, 5419 What are the prime factors of 960223618? 2, 157, 3058037 What are the prime factors of 4456606806? 2, 3, 247589267 List the prime factors of 5154854. 2, 2577427 List the prime factors of 126406716. 2, 3, 31, 373, 911 List the prime factors of 15622307. 15622307 List the prime factors of 5025583041. 3, 311, 5386477 What are the prime factors of 17232356? 2, 17, 253417 List the prime factors of 62597472. 2, 3, 7, 93151 What are the prime factors of 38655688? 2, 17, 284233 List the prime factors of 1076090983. 11, 97826453 What are the prime factors of 2987889298? 2, 17, 281, 312737 List the prime factors of 1187366602. 2, 233, 2547997 What are the prime factors of 373643718? 2, 3, 7, 1270897 What are the prime factors of 35961311? 35961311 List the prime factors of 2118497630. 2, 5, 211849763 What are the prime factors of 53183150? 2, 5, 41, 25943 List the prime factors of 154500978. 2, 3, 43, 598841 What are the prime factors of 133087911? 3, 11, 4032967 List the prime factors of 239192598. 2, 3, 39865433 What are the prime factors of 1389669894? 2, 3, 1201, 64283 What are the prime factors of 143609812? 2, 17, 2111909 What are the prime factors of 2111870251? 2111870251 List the prime factors of 80943977. 80943977 List the prime factors of 119925027. 3, 359, 37117 List the prime factors of 5871859888. 2, 23, 15956141 List the prime factors of 4776451543. 229, 20857867 What are the prime factors of 128795038? 2, 67, 961157 List the prime factors of 827168887. 827168887 List the prime factors of 28005396. 2, 3, 2333783 List the prime factors of 338839. 338839 What are the prime factors of 1083430257? 3, 7, 13, 179, 22171 What are the prime factors of 19177074? 2, 3, 7, 1879 List the prime factors of 1026163245. 3, 5, 1109, 61687 What are the prime factors of 131271385? 5, 7, 3750611 List the prime factors of 115095497. 11, 149, 70223 What are the prime factors of 49065870? 2, 3, 5, 7, 31, 7537 What are the prime factors of 80045169? 3, 26681723 List the prime factors of 26990893. 281, 96053 List the prime factors of 585947474. 2, 7, 41853391 List the prime factors of 559474167. 3, 7, 59, 451553 List the prime factors of 35944718. 2, 17972359 List the prime factors of 84859571. 1109, 76519 What are the prime factors of 80144799? 3, 7, 547, 6977 List the prime factors of 58674186. 2, 3, 1086559 What are the prime factors of 1641340723? 11, 149212793 List the prime factors of 37861822. 2, 17, 53, 21011 List the prime factors of 24995781. 3, 2777309 List the prime factors of 884660180. 2, 5, 44233009 List the prime factors of 4191760547. 13, 322443119 What are the prime factors of 2081434780? 2, 5, 17, 43, 142369 List the prime factors of 449436007. 2539, 177013 What are the prime factors of 1102060899? 3, 839, 145949 What are the prime factors of 199701804? 2, 3, 43, 107, 3617 What are the prime factors of 7116115? 5, 17, 83719 List the prime factors of 3913270888. 2, 489158861 List the prime factors of 57993100. 2, 5, 11, 52721 What are the prime factors of 92781? 3, 13, 61 What are the prime factors of 312327639? 3, 13, 479, 5573 What are the prime factors of 801129131? 11, 17, 4284113 What are the prime factors of 171233428? 2, 42808357 What are the prime factors of 565360709? 2953, 191453 What are the prime factors of 95312897? 17, 23, 43, 5669 What are the prime factors of 73638590? 2, 5, 61, 1979 What are the prime factors of 335504829? 3, 11, 10166813 List the prime factors of 117544770. 2, 3, 5, 7, 20731 List the prime factors of 351385120. 2, 5, 59, 37223 What are the prime factors of 154958463? 3, 11, 223, 7019 List the prime factors of 10876859. 7, 1553837 What are the prime factors of 35054193? 3, 463, 25237 What are the prime factors of 199077520? 2, 5, 2488469 List the prime factors of 27203048. 2, 281, 12101 List the prime factors of 1452536863. 509, 2853707 List the prime factors of 286530547. 286530547 What are the prime factors of 206142791? 206142791 What are the prime factors of 2624792406? 2, 3, 1427, 306563 What ar
{ "pile_set_name": "DM Mathematics" }
tive of x**7/120 + 13*x**6/360 - 4*x**3 - 6. Let o(b) be the third derivative of g(b). What is the third derivative of o(i) wrt i? 42 Let p = 107 - 99. What is the derivative of p - 9 - 73*z**2 + 52*z**2 wrt z? -42*z Let g(c) = -73*c**3 - 463*c**2 + 3*c + 3. Let f(s) = 215*s**3 + 1388*s**2 - 8*s - 8. Let l(a) = -3*f(a) - 8*g(a). Find the third derivative of l(j) wrt j. -366 Let o(l) be the second derivative of -l**6/15 - l**5/10 + 71*l**4/12 - 2*l - 78. Find the third derivative of o(a) wrt a. -48*a - 12 Let u be 56/28 - 10*(-1 - 1). What is the third derivative of 0 - u*f**2 + 4*f**3 + 0 - 12*f**3 wrt f? -48 Find the first derivative of 422*i - 4*i**3 - 211*i + 180 - 209*i wrt i. -12*i**2 + 2 Let t be ((-2919)/(-35) - (-6)/10) + -3. Find the third derivative of -t*l + 81*l - 6*l**2 - 4*l**3 wrt l. -24 Let s(a) be the third derivative of -a**7/35 + 29*a**6/120 + 163*a**5/60 - 10*a**2 + 14. What is the third derivative of s(q) wrt q? -144*q + 174 Let m(h) be the first derivative of -h**2 + 14*h - 2. Let f be m(6). What is the second derivative of -v**f + 7*v + 59 - 59 wrt v? -2 Suppose 1747 = 5*l - 1863. What is the first derivative of 21*s - 4*s + 725*s**2 - 41 - l*s**2 wrt s? 6*s + 17 Let c(a) = 24*a**5 + 12*a**4 - 6*a**3 - 11. Let p(g) = g**5 - 3*g**4 + g**3 + g**2. Let s(t) = c(t) + 4*p(t). Find the third derivative of s(l) wrt l. 1680*l**2 - 12 Let t be 20/(-1) + -1 + 1. Let r = 22 + t. Find the first derivative of 1 - r + 9*y**3 - 2*y**3 wrt y. 21*y**2 Suppose 4*p - 23 = -3*u, -p + u - 6*u = -10. Suppose -p + 0 = -5*i. What is the derivative of -4*d + 2 - 3 - i + 1 wrt d? -4 Let w(z) be the first derivative of z**6/40 + 3*z**5/40 + z**3 + 8. Let j(u) be the third derivative of w(u). What is the second derivative of j(h) wrt h? 18 Let x(g) be the second derivative of 61*g**3/2 - 19*g**2 - 151*g. Find the first derivative of x(n) wrt n. 183 Let y(d) be the first derivative of -d**3/3 - 4*d**2 + 2*d + 4. Let u(c) be the first derivative of y(c). What is the first derivative of u(b) wrt b? -2 What is the third derivative of 36 + 285*c**3 + 3*c - 25*c**2 + 33 - 69 + 101*c**3 wrt c? 2316 What is the second derivative of 6*j**2 - 3*j**2 + 6*j - 5*j + 0*j + 51 + 5*j**3 - 7*j**3 wrt j? -12*j + 6 Suppose -2*g + 3 + 1 = 0. Find the third derivative of 4182*u**2 - 3*u**6 + 2*u**5 - 4202*u**2 - 2*u + g*u wrt u. -360*u**3 + 120*u**2 What is the derivative of -638*a - 283 + 366*a - 297*a - 130 wrt a? -569 Let h(l) be the first derivative of -2*l**5/5 - l**4 - l**3/3 + 32*l - 31. What is the third derivative of h(n) wrt n? -48*n - 24 Let s be ((-1)/(-2))/((-11)/(-66)). Suppose 0 = -2*z - 4*g - 4, s*g = 4*z + 4*g - 6. What is the third derivative of 4*d**2 - 5*d**z + d**5 - 3*d**5 wrt d? -120*d**2 Let m(c) = -89*c + 46. Let d(v) = -266*v + 139. Let x(j) = -3*d(j) + 8*m(j). What is the derivative of x(b) wrt b? 86 Let m(j) = -1254*j**2 + 28*j - 348. Let v(u) = -418*u**2 + 10*u - 117. Let y(a) = 5*m(a) - 14*v(a). Differentiate y(g) wrt g. -836*g Let n be 456/32 - (-3)/4. Suppose 9*m = 6*m + n. What is the third derivative of 0*h**m - 189*h**2 - h**5 + 183*h**2 wrt h? -60*h**2 Let u(t) = 7*t**2 + t - 1. Let q(x) = -x**2 - 12*x + 71. Let k(c) = -q(c) + u(c). What is the first derivative of k(y) wrt y? 16*y + 13 Let o be 93/18 + 4*5/(-120). Let r(z) be the third derivative of 0*z + 1/20*z**o + 0*z**4 + 0 + 5*z**2 + 1/3*z**3. Find the first derivative of r(k) wrt k. 6*k Let v(k) be the second derivative of 0*k**6 + 0*k**5 + 0*k**3 + 0*k**7 - 12*k + 0 + 0*k**2 + 3/14*k**8 - 7/12*k**4. Find the third derivative of v(p) wrt p. 1440*p**3 What is the second derivative of 0*b**4 - 4*b**4 + 4*b**4 + 49*b**5 + 17*b + 316*b**5 + 1 wrt b? 7300*b**3 Find the second derivative of -2 - 63 + 11 - 46*r**4 - 82*r**4 + 2*r wrt r. -1536*r**2 Let w(b) = 6*b**3 - 1. Let f be w(1). What is the third derivative of 2*v**5 + f*v**2 + 2*v**5 + v**2 + 0*v**2 wrt v? 240*v**2 Let m(b) be the first derivative of -b**4/12 - 5*b**3/2 + 9*b**2 - 10. Let r(g) be the second derivative of m(g). What is the derivative of r(z) wrt z? -2 Find the second derivative of -69*x - 84*x**3 + 158*x + x**2 + 73*x wrt x. -504*x + 2 Let x = -301 - -307. Let q(b) be the second derivative of 0*b**2 + 1/2*b**4 + 7/30*b**x + 0*b**5 + b + 0*b**3 + 0. What is the third derivative of q(o) wrt o? 168*o Let o be (-1)/(46/(-22) + 2). Let g = o + -9. What is the third derivative of 8*z**6 + 21*z**g + 22*z**2 - 48*z**2 wrt z? 960*z**3 Let v(b) be the second derivative of -31*b**7/21 - 41*b**4/12 + 21*b. Find the third derivative of v(a) wrt a. -3720*a**2 Let k be (0 - 0 - 1)*-20. Let i = k - 15. What is the third derivative of 59*v**5 - 60*v**i - 2*v**2 - 1 + 1 wrt v? -60*v**2 Find the third derivative of 28*v**5 + 54*v**5 - 18*v**5 + 242*v**2 wrt v. 3840*v**2 Suppose -46 = -4*b + 30. Find the third derivative of p - 28*p**2 - b*p**5 - p + 34*p**2 wrt p. -1140*p**2 Let g(v) be the second derivative of -v - 3/10*v**5 + 0 + 0*v**4 + 0*v**2 - 3/2*v**3. What is the second derivative of g(h) wrt h? -36*h Suppose 0*s + 2*g + 106 = 4*s, 5*s + 2*g = 110. What is the derivative of -s*h**3 - h + h + 32 - 35 wrt h? -72*h**2 Let f(q) be the second derivative of -45*q**4/4 + 81*q**2/2 + q + 8. Differentiate f(c) wrt c. -270*c Let j(f) = 77*f**3 + 85*f**2 - 2*f + 6. Let a(y) = 308*y**3 + 339*y**2 - 9*y + 27. Let u(g) = -4*a(g) + 18*j(g). What is the third derivative of u(z) wrt z? 924 Let z(k) be the second derivative of k**6/360 - 29*k**5/120 - 43*k**4/12 + 45*k. Let p(a) be the third derivative of z(a). Differentiate p(m) wrt m. 2 Find the second derivative of -2*z**3 + 106*z - 111 - 40*z**2 + 111 wrt z. -12*z - 80 Let a be ((-36)/48)/(6/(-16)). Let d = -2 + a. What is the third derivative of 15*j**5 - 15*j**5 + d*j**6 + 3*j**2 + 6*j**6 wrt j? 720*j**3 Let b(t) be the second derivative of 7*t**6/10 + 7*t**5/20 + 241*t**4/12 - 774*t. Find the third derivative of b(h) wrt h. 504*h + 42 Let n be (5 + -2)*2/2. Let d(g) = 1 - 4 + 1 + n. Let q(c) = 4*c**2 - 14. Let b(m) = -8*d(m) - q(m). Differentiate b(o) wrt o. -8*o Find the third derivative of 10*h**4 + 288*h**2 + 16*h**4 - 40*h**4 - 12*h**3 wrt h. -336*h - 72 Let z be 34/(-4) - (-4)/8. Let q be -4*(-4)/z - -2. Differentiate -3 - a + 7*a - a + q*a wrt a. 5 Let u(z) be the second derivative of 0*z**2 + 0*z**4 - z**3 + 0 + 1/20*z**5 - 8*z. Find the second derivative of u(y) wrt y. 6*y Let n(d) be the third derivative of -67*d**9/504 - d**5/20 - 5*d**3/3 - 58*d**2. What is the third derivative of n(t) wrt t? -8040*t**3 Let h(w) be the second derivative of 9*w**8/4 - w**7/21 + 121*w**4/12 - 11*w. What is the third derivative of h(f) wrt f? 15120*f**3 - 120*f**2 Let x be (6 - 10)*30/4. Let f = 33 + x. What is the second derivative of 3*k**3 + 2*k**3 - 16*k**f + 4*k wrt k? -66*k Let v(a) be the second derivative of 0*a**7 + 0*a**5 + 11/28*a**8 - 4*a + 0*a**3 + 0 + 0*a**2 + 25/12*a**4 + 0*a**6. What is the third derivative of v(u) wrt u? 2640*u**3 Find the second derivative of -1340*d**3 + 2236*d**3 + 362*d - 1205*d**3 wrt d. -1854*d Let x = -46 + 31. Let b = x + 19. Find the second derivative of 0*i + 3*i - i + 6*i**b wrt i. 72*i**2 Let z be ((-3)/5)/((-6)/30). Let m(w) = w + 7. Let b be m(-5). What is the first derivative of -4 + 1 + 2 + z*k**b wrt k? 6*k Let t(r) be the first derivative of -3*r**7/70 + r**3 + 5*r**2 + 13. Let k(w) be the second derivative of t(w). Differentiate k(a) with respect to a. -36*a**3 Suppose 3*z + 2 = 4*r + 34, 4*z + 9 = -5*r. What is the second derivative of -7*w**z - 20*w + 13*w**4 - 7*w**4 wrt w? -12*w**2 Let r(c) = -24*c**3 + 8. Let o(p) = 4 - 3 - p**3 - 2 - p**2 + 2. Let f(i) = 8*o(i) - r(i). Find the third derivative of f(z) wrt z. 96 Let x(a) = a**4 - a**3 + a. Let c(s) = -55*s**4 - 4*s**3 + 3*s - 21. Let m(o) = c(o) - 4*x(o). Find the second derivative of m(f) wrt f. -708*f**2 Let n(g) = g**3 - 4*g + 2. Let j be n(2). Find the third derivative of 12*o**2 - 8*o**j + 10*o**2 + 5*o**6 + 6*o**6 wrt o. 1320*o**3 Let u be 1/5 + (-114)/(-5). Suppose -4*s - 11 = -u. Find the second derivative of -2*b - 7*b + s*b - 7*b**2 wrt b. -14 Let s(x) = -x**2 - 2*x + 17. Let v be s(3). Find the third derivative of 9*k**6 + 20*k**6 + 14*k**v + 5*k**2 + 13*k**2 wrt k. 34
{ "pile_set_name": "DM Mathematics" }
(-2))). 5 (-12)/(-10)*(2/(-3) + 1) 2/5 Evaluate 1/10 - (-440)/1600. 3/8 What is the value of (2*(-1)/(-9))/((-8)/12)? -1/3 Evaluate (-6)/(-3) + 1 - 24/10. 3/5 What is the value of (-2*3/(-42))/((-17)/34)? -2/7 Calculate 3/(-1) - 924/(-330). -1/5 What is 9/11 + -1 + 15958/1738? 9 Evaluate 21/(-14)*(-4)/(-2). -3 Evaluate (9/6)/(-4*24/(-320)). 5 ((-9)/6)/((-21)/(-4)) -2/7 What is (18/81)/((-10)/6)? -2/15 What is (7/112)/(1/(-2))? -1/8 What is the value of ((-176)/(-56))/11*1? 2/7 What is the value of -1*(-92)/(-28) + 5 + -2? -2/7 Evaluate 4/(-12) - (-1050)/126. 8 What is (-18)/(-162) + -7*(-10)/18? 4 What is the value of (-20)/120*(-3 + 13 + -1)? -3/2 Calculate (-990)/297*9/5 - 4. -10 Calculate (-27)/8 + 3 + 372/480. 2/5 What is the value of ((-9)/((-27)/(-5)))/(-5)? 1/3 Evaluate -22 + 25 + -5 + -1 + 0. -3 Evaluate (-2*(-4)/(-14))/(513/399). -4/9 Evaluate (-6)/(-4) - 792/176. -3 Evaluate 11 - ((15 - 2) + -6). 4 Evaluate ((-3)/9)/((-4)/(-72)). -6 Calculate -2 - ((-244)/84 + 4 - 3). -2/21 What is 2*(-20)/24*4/(-10)? 2/3 What is 65/26*(-4)/(-45)? 2/9 117/(-216) - (1 - 2)/(-8) -2/3 What is the value of (18/(-16))/(2 - 5/4)? -3/2 What is -3*(-1 - 0/(-7))? 3 -1 - ((-21)/9)/(4 - 1) -2/9 Evaluate 5/(-28) - (18/(-8))/(-9). -3/7 -2 + 7 - -21*56/(-216) -4/9 Calculate 12/15 - ((-2346)/(-270) + -8). 1/9 What is the value of 48/(-40)*(-1)/2? 3/5 What is (-3)/12 + (-7)/(-12)? 1/3 (2*3/(-12))/(2/20) -5 Calculate -2 - (-2 - 3/(9/21)). 7 Calculate (-4)/(-1) + 39/((-19227)/2006). -2/29 Evaluate (2 - 1)*10/35. 2/7 ((-192)/(-672))/(1 - 12/14) 2 8*(-4)/(-8) + -1 3 ((-12)/9)/((-176)/24 - -7) 4 What is the value of ((-63)/9 - -5)/(2 - -2)? -1/2 Evaluate 4/(-26) + 200/(-52). -4 What is the value of (1 + -2)*12/(-114)? 2/19 What is the value of (-28)/(-15) + 1 + 22/165? 3 Evaluate ((-15)/6)/((-24)/48). 5 (2805/(-34))/33*(-6)/(-5) -3 What is the value of ((-106)/(-477))/(1*-2)? -1/9 What is (-1 - 2)/6 + 21/(-6)? -4 (-136)/(-40) + -4 - (-88)/(-20) -5 Calculate (20/(-25))/((-6)/60*-4). -2 Evaluate 190/1045 - 1/66. 1/6 What is the value of (-3)/(-6) - 7/(-14)? 1 Evaluate 10/(-35) - (-3)/(-14). -1/2 What is 18/(-36) - (-39)/(-6)? -7 What is the value of 2/2 + (-6 - -6)? 1 Evaluate -10*(-5 + 66/12). -5 What is -3*3/(-3) - (-42)/(-18)? 2/3 Calculate (-6)/(-9) - (-33)/(-9) - 1. -4 What is 5 + (-3)/(-8) + (-3)/8? 5 Calculate 0/(-1)*(18/(-4) + 4). 0 Evaluate 78/(-72)*-3 - (-2 - -6). -3/4 What is the value of (5 - (-182)/(-21)) + (9 - 4)? 4/3 Calculate (0 + (-15)/(-10))/(2 + 4). 1/4 ((-1)/2)/((5/(-30))/1) 3 10/60 - (-34)/(-132) -1/11 Calculate ((-84)/(-8))/7*(-8)/3. -4 What is the value of 1*9*(-10 + (-341)/(-33))? 3 Calculate -2*(2 - (-9)/(-6)). -1 (-2)/4 - (-34)/52 2/13 (-3)/15 + 0 + (-17)/(-35) 2/7 Calculate 302/(-68)*-2 + -9. -2/17 What is (-15)/(-4) + -3 - (9 - 8)? -1/4 Evaluate ((-6)/10)/((-1032)/(-60) - 17). -3 Calculate ((-63)/(-42))/(-2 - 1). -1/2 (-13)/26 - (-7)/22 -2/11 What is (-1*10/(-6))/(9/27)? 5 Calculate (3 - 55/15) + 0. -2/3 Calculate 54/21 + 1*(-1 + -1). 4/7 Calculate (-2 - -2) + (8 - (-14)/(-7)). 6 Calculate ((-2)/12)/((-20)/24). 1/5 What is the value of 3/4*(-5 - -1)? -3 (-1)/(-4)*(75 - 81) -3/2 Calculate 6/(-21) + 99/77. 1 Calculate (-7)/(-10) - (-9 + 95/10). 1/5 What is (-529)/(-1518) - (-4)/(-22)? 1/6 Evaluate 3/(-6)*16/(-32). 1/4 8 - ((-2400)/(-70))/4 -4/7 Evaluate (-23 + 27)*(-2)/8. -1 Calculate (7 + -2)*(-6 - 888/(-150)). -2/5 What is the value of 4/6 - (9 + (-29)/3)? 4/3 What is the value of (-32)/(-10) + 28/(-7)? -4/5 Calculate (100/750)/(2/12) + -1. -1/5 What is the value of (60/45)/((-88)/(-12))? 2/11 Calculate -3*21/60 - 10/(-8). 1/5 Calculate 152/25 + ((-48)/150)/4. 6 What is the value of 908/(-1135) - 32/(-15)? 4/3 What is the value of (18/20)/(162/135)? 3/4 (-1 - 7)/(-1)*(344 + -343) 8 Calculate 8/6*(-9)/6. -2 Calculate 8/(-152)*2 - 2/(-19). 0 What is the value of (-2 - 10)/(-2) - 2394/418? 3/11 10/(-8) - (-130)/104 0 Calculate ((-624)/(-36))/((-40)/(-12)) - 6. -4/5 (-12)/(-88)*((-48)/(-18) - 4) -2/11 What is -7*(-6 - (-170)/35)? 8 What is the value of -5 + 3 - 0 - -3? 1 Evaluate 1/(134/12 - 14/(-42)). 2/23 (-1*(-18)/15)/((-22)/55) -3 What is the value of 5 - 2 - -2 - (-8 + 16)? -3 0/(-6) + (-10)/65 -2/13 Calculate (-1 + 1/2)*(4 - 10). 3 What is (-3)/1 + 0 + (-55)/(-20)? -1/4 (-2)/((3/((-3)/7))/(-1)) -2/7 Evaluate (12/16)/(3/12). 3 Evaluate 16/(-16) - ((-6)/4 - 0). 1/2 3/(-5) - -1 - (-12)/(-5) -2 What is the value of (12 - 7) + (-24)/3? -3 26/(-6) + (-7)/(-63)*-6 -5 -4*(-1 - (-2 + (-21)/(-12))) 3 -3 - ((-72)/20 - -1) -2/5 What is (3/9*2)/(2/12)? 4 Evaluate (-30)/(-80)*4/18*3. 1/4 What is the value of (-3 - (-159)/54)/((-1)/4)? 2/9 Calculate (-5)/6 - (4 - 13/3). -1/2 -5 + (0 - 26/(-6)) -2/3 What is the value of (17/34)/(63/(-12))? -2/21 What is 1/2*(-118)/531? -1/9 4/(-18) + (-535)/(-963) 1/3 What is (-4)/(-5) - (-30)/25? 2 What is (58/348 + (-5)/12)*28? -7 What is the value of -2*10/(7 + -2)? -4 What is 1/(-1)*(-9)/(81/2)? 2/9 What is 1/2*(-3)/(-12)*-8? -1 (60/(-48))/(1/(-4)) 5 -6*7/84*-3 3/2 6/(-8) - (1 - 3/4) -1 Evaluate (15/18)/((-345)/(-92)). 2/9 What is (-42)/49*-7 - (12 - 3)? -3 What is the value of -2 + 1 + 0 + 0 + -3? -4 What is (-4 - -3)*2/4? -1/2 Calculate (2 - (-12)/(-8)) + 22/(-4). -5 (2 - 0)*(-6)/(-84)*-4 -4/7 What is the value of (1 + -1)/((-6)/(-6))? 0 Calculate 30/(-108)*-9 - 4/4. 3/2 Evaluate 1/(((-96)/(-528))/(4/22)). 1 Evaluate (-10)/16 + (-19)/152. -3/4 Evaluate (28/20 - 1)*15. 6 Evaluate (-26 - -27) + (-45)/5. -8 ((-8)/(-26))/((-6)/(-39)) 2 Evaluate 50/(-5) - 100/(-25). -6 Calculate (9/3 - -1) + -3. 1 What is the value of (-5)/25 - 34/(-70)? 2/7 (24/(-48) - (-34)/4) + -5 3 Evaluate (-32)/12*(-9)/84. 2/7 What is 1 - (17/(-15))/(-1)? -2/15 What is (200/(-16))/(-5)*(-8)/15? -4/3 -5 + 17/(68/24) 1 What is (1 - 3)*(2 - (0 + 1))? -2 Calculate ((-99)/27)/11*-12. 4 (-12 - -14)*-2*(-1)/(-40) -1/10 Evaluate 9/6 + 22/(-4) + -5. -9 Evaluate (-2 + (1 - 0))/(3/(-12)). 4 Calculate 2/(-1) + (1 - 3). -4 What is the value of (-15)/480*-72 + (-2)/8? 2 Calculate (-86)/(-460) + (-11)/110. 2/23 Evaluate 11/((-726)/(-120)) + -2. -2/11 What is the value of 7/(-21)*-3 + -2? -1 (-10)/(-15)*(-18)/(-28) 3/7 What is the value of (-80)/(-35) - 4 - -2? 2/7 Evaluate 44/11 - (4 + -2). 2 Evaluate (-12)/22 - 63/308. -3/4 What is ((-4)/(-110))/((-9)/45)? -2/11 Calculate (-8)/(-18) - (-2254)/(-414). -5 Calculate 7/18*(984/126 + -8). -2/27 Calculate (-8)/(-9)*(-3)/(-4). 2/3 What is (24/(-16))/((-15)/70) + -4? 3 Calculate ((-232)/(-396) - (-4)/(-18))/2. 2/11 Calculate (-749)/84 + 27/3. 1/12 (-30)/(-42) - 4/4 -2/7 What is the value of 336/(-60) - (-16)/(-40)? -6 (12/(-28))/((-1)/(-1)) -3/7 Calculate 50/70*(-2)/5. -2/7 What is the value of 15/(-25)*((-12)/(-9) + -2)? 2/5 What is the value of (-11 - (-3 - 5)) + 8? 5 What is the value of ((-21)/(-56))/((-9)/(-48))? 2 What is 10/(140/63) + -4? 1/2 (-2*(-2)/16)/(253/(-1012)) -1 Calculate 12 - 16/56*14. 8 Calculate (4/5)/(-6*(-4)/(-180)). -6 What is -5*1 + (7 - (-10 + 14))? -2 What is (-23 - 1040/(-48))*(0 + -6)? 8 (-6)/(-9)*5/((-60)/(-9)) 1/2 What is -2 - ((-40)/12 - -2)? -2/3 Calculate (66/(-55))/((135/50)/3). -4/3 What is the value of (-8)/(-16) + 39/(-6)? -6 (2 + 30/(-3))*2/(-4) 4 Calculate (-396)/(-462) - 41/7. -5 Evaluate (-12)/(-14)*(-735)/(-105). 6 What is 4/(-5 - -4) - (-3 - 5)? 4 What is the value of (-69 - -65) + 60/14? 2/7 What is 4/16*(-8)/(-2)? 1 What is the value of -3 - (12/9 - 5)? 2/3 What is the value of 16/96 - 1/(12/(-10))? 1 What is (11/2)/(-11)*0? 0 What is (32/(-10) + 0)/((-428)/(-1070))? -8 Calculate (-378)/(-81)*6/7. 4 Calculate 5/18*(-8)/(-10). 2/9 Evaluate 1 + ((-108)/(-26) - 5). 2/13 (-15)/300 - (9/15)/3 -1/4 What is the value of 2/4 + (-12)/(-8)? 2 Calculate (-192)/(-60) + (-3)/15. 3 What is the value of (0 - (1 + -2)) + (-30)/42? 2/7 Calculate (6/18)/((-3)/9). -1 Calculate 35*(-23)/690 - 2/(-3). -1/2 8/((-120)/35) - (-1)/3 -2 -5 + -7 + 13 - -2 3 What is the value of (-33)/220 - (-2)/(-16)*2? -2/5 What is the value of 55/(-10) + 3/6 + 0? -5 What is the value of ((-13)/(-78) + (-14)/12)/13? -1/13 Calculate 48/(-18) - ((-14)/(-6) - 2). -3 Evaluate 190/(-152)*(-16)/10. 2 Calculate (-24)/(-63) + -6 + (-132)/(-21). 2/3 Calculate (-26 + (-165)/(-6))*1/(-3). -1/2 What is the value of (5 + -3)/((-
{ "pile_set_name": "DM Mathematics" }
ose b(t) = 0. Calculate t. -11, -1 Suppose 2*r + 360 = 4*h, 7*h - 2*h - 4*r = 456. Suppose -h*x + 2*x**2 + 30 + 26*x + 17*x + 29*x = 0. What is x? 3, 5 Let b(r) be the third derivative of -r**6/80 - 19*r**5/40 - 45*r**4/8 - 18*r**3 + 699*r**2. Determine v, given that b(v) = 0. -12, -6, -1 Let r(l) be the first derivative of l**3/6 + 5*l**2/4 + 2*l - 525. Factor r(i). (i + 1)*(i + 4)/2 Determine d so that -914/5 - 182*d**2 + 2/5*d**3 - 1826/5*d = 0. -1, 457 Let q(h) be the third derivative of -68*h**2 + 121/48*h**4 + 0 + 0*h + 1331/36*h**3 + 11/120*h**5 + 1/720*h**6. Factor q(i). (i + 11)**3/6 Let y(o) = 30*o + 53*o**2 + 104 + 33*o**3 + 41*o**3 - 72*o**3. Let u be y(-26). What is j in u*j + 0 - 6/5*j**3 - 2/5*j**2 = 0? -1/3, 0 Let u(w) be the second derivative of 1/75*w**6 + 27*w - 1/30*w**4 + 0*w**2 - 2 + 1/30*w**3 - 1/210*w**7 + 0*w**5. Factor u(c). -c*(c - 1)**3*(c + 1)/5 Let v(n) be the third derivative of -13*n**7/735 + 11*n**6/420 + 2*n**5/15 + n**4/21 + 1587*n**2. Let v(j) = 0. Calculate j. -1, -2/13, 0, 2 Let l(j) = 59*j**2 + 5264*j - 1383384. Let r(g) = 810*g**2 + 73695*g - 19367375. Let o(y) = -55*l(y) + 4*r(y). Factor o(b). -5*(b - 526)**2 Let f be (7/(-504)*8)/((-8)/36). Factor -i**2 + 1/4*i**3 + 5/4*i - f. (i - 2)*(i - 1)**2/4 Let v(d) be the first derivative of -d**7/140 + d**6/120 + 43*d**3/3 + d**2 - 31. Let s(n) be the third derivative of v(n). Let s(m) = 0. What is m? 0, 1/2 Let j(t) = 2*t**2 - 13*t. Let p(o) = -7*o**2 + 740*o + 687. Let v(s) = -4*j(s) - p(s). Factor v(w). -(w + 1)*(w + 687) Suppose h = 3*o - 7*o - 1, -3*o = h - 3. Factor -6*x**2 - 8*x - h*x**4 + 14*x**3 - x**4 + 12*x**4 - 2*x**2. -2*x*(x - 2)**2*(2*x + 1) Let x = 84694/50811 + -3/16937. Suppose 5/3*b**4 + 5/3*b - 5/3*b**3 + 0 - x*b**2 = 0. Calculate b. -1, 0, 1 Suppose 4818*n**4 + 948*n + 130*n**3 - 2*n**5 - 370*n**2 - 4696*n**4 - 1076*n + 248 = 0. What is n? -2, -1, 1, 62 Let v(b) be the second derivative of -3*b**7/70 - b**6/20 - b**5/60 - 53*b**2/2 - 14*b. Let y(p) be the first derivative of v(p). Solve y(a) = 0. -1/3, 0 Suppose 3*g = 4*y - 8, -15 = -3*y + 10*y - 10*y. Factor 2/7*x**3 + 2/7*x**g + 0*x + 0*x**2 + 0. 2*x**3*(x + 1)/7 Factor -9262*g**2 - 9308*g**2 + 5*g**3 - 510*g + 18725*g**2. 5*g*(g - 3)*(g + 34) Let q(l) be the second derivative of l**4/3 + 80*l**3/3 - 168*l**2 - 34*l - 9. Find t, given that q(t) = 0. -42, 2 Suppose 146 - 198 = -26*x. Let k(f) be the second derivative of 1/40*f**5 + 0 + 0*f**4 + 1/24*f**6 + 4*f + 0*f**3 + 0*f**x. Find j, given that k(j) = 0. -2/5, 0 Let t(l) = 12*l**3 - 4164*l**2 + 27*l - 27. Let y(f) = -f**3 + 321*f**2 - 2*f + 2. Let r(i) = 2*t(i) + 27*y(i). Factor r(n). -3*n**2*(n - 113) Let s(i) be the first derivative of i**3/6 + 325*i**2/6 + 72*i + 10580. Find j, given that s(j) = 0. -216, -2/3 Let o(r) = r + 7. Let n be o(-8). Let u be (n + -1)/(5/(-10)). Find y such that 309*y - 284*y - y**3 - u*y**3 - 5*y**2 - 15 = 0. -3, 1 Let l = -79 + 77. Let n(d) = d + 6. Let g be n(l). Solve 4*f**3 + 14*f - f**g - 10*f + 4 - 8*f - 3*f**2 = 0. -1, 1, 2 Let g be (-45)/(-12) + (-3 + 7)/16. Find d such that -4*d**3 + 2433*d**g + 2*d**3 - 24*d**2 - 2431*d**4 = 0. -3, 0, 4 Let f(j) = 10*j**4 - 50*j**3 + 65*j**2 + 5*j - 5. Let p(d) = 2 - 3*d - 60*d**2 + 28*d**2 + d + 25*d**3 - 5*d**4. Let x(b) = -2*f(b) - 5*p(b). Factor x(h). 5*h**2*(h - 3)*(h - 2) Let a be -1 + (-9 - -11) + 4. Let u(m) be the third derivative of -1/4*m**a - 1/40*m**6 - m**4 - 2*m**3 - 30*m**2 + 0*m + 0. Factor u(w). -3*(w + 1)*(w + 2)**2 Factor 20230 + 952*p + 1049*p - 5*p**2 - 54942 - 51093 - 691*p. -5*(p - 131)**2 Let h be ((-10)/4)/((-9615)/87176). Suppose 20/9 - 124/9*w + 184/9*w**2 + 88/9*w**3 - h*w**4 + 4*w**5 = 0. What is w? -1, 1/3, 1, 5 Determine s, given that 89/4*s**2 + 129/4*s - 1/4*s**4 + 0 - 41/4*s**3 = 0. -43, -1, 0, 3 Let z = 76391/30566 + 12/15283. Suppose -z*q**2 + 300*q - 9000 = 0. What is q? 60 Let n(s) be the first derivative of -s**6/3600 + s**5/300 - s**4/80 - 4*s**3/3 + 40. Let b(r) be the third derivative of n(r). What is j in b(j) = 0? 1, 3 Factor -426*s + 0 + 3/2*s**2. 3*s*(s - 284)/2 Let j be (0 + 4)/(-2) - 36/(-6). Suppose -3*k + 49 - 11 = 4*v, 0 = j*k + 4*v - 52. Factor 10 + 16*a**3 + k*a**3 + 56*a - 20*a**3 + 6 + 44*a**2. 2*(a + 2)**2*(5*a + 2) Let g be 864/4 + 5 + -11. Let k be ((-12)/30)/((-28)/g). Factor -24/7*v**2 - 2/7*v**k + 0 - 72/7*v. -2*v*(v + 6)**2/7 Factor 129/5*r**2 + 12/5*r - 3/5*r**3 - 516/5. -3*(r - 43)*(r - 2)*(r + 2)/5 Let n(b) = -b**2 - 7*b - 4. Let s be n(-5). Suppose j + j - s = 0. What is t in t**3 - t**2 + 5*t**3 - 3*t**4 + j*t**5 - 3*t**3 - 2*t**5 = 0? 0, 1 Let a = -8/17623 - -2978527/528690. Let n = -11/15 + a. Factor -n - 1/10*k**2 + 7/5*k. -(k - 7)**2/10 Factor -426/7 - 432/7*i**2 + 855/7*i + 3/7*i**3. 3*(i - 142)*(i - 1)**2/7 Let m be ((62 - 62)/(52/13))/(-3 + -1). Determine y, given that 4/7*y**2 + 6/7*y + m = 0. -3/2, 0 Suppose 3*v + 5*w - 145 = -121, -5*v + 3*w = -6. Let n(h) be the second derivative of 2*h**v + 0 - 4*h - 24*h**2 - 1/16*h**4. Find j, given that n(j) = 0. 8 Factor 87*g**2 - 43*g**2 + 560 - 39*g**2 - 290*g. 5*(g - 56)*(g - 2) Let g(w) be the first derivative of 5*w**3/3 + 935*w**2 + 3720*w - 2665. Factor g(u). 5*(u + 2)*(u + 372) Let y(m) = 24*m + 3. Let h = 573 - 573. Let l be y(h). Find s such that 2/3*s**l + 0*s + 0 - 2/3*s**2 = 0. 0, 1 Let j(n) be the first derivative of n**5/70 + 7*n**4/2 + 1825*n**3/7 + 5329*n**2/7 + 70*n - 172. Let a(q) be the first derivative of j(q). Factor a(f). 2*(f + 1)*(f + 73)**2/7 Let c(a) = -11975*a + 23953. Let o be c(2). Find k such that 0 + 4/13*k**2 + 2/13*k**o - 6/13*k = 0. -3, 0, 1 Let c = 39 + -24. Let t = 23 - c. Suppose -21 + t*m**3 + 1 - 3*m**3 - 30*m**2 + 45*m = 0. What is m? 1, 4 Let d(h) be the first derivative of 3/5*h**5 + 990*h**2 - 162 + 181*h**3 + 2700*h + 33/2*h**4. Factor d(r). 3*(r + 5)**2*(r + 6)**2 Let f(q) be the first derivative of -q**2/2 - 6*q + 29. Let d be f(-8). What is z in -10*z**d - 5*z**3 - 138*z + 138*z + 15*z**5 + 20*z**4 = 0? -1, 0, 2/3 Let l be 21/(-2)*(6352/(-224) - -28). Let o(x) be the third derivative of 0*x - 4*x**2 - 32/21*x**7 - l*x**4 - 6*x**6 - 5/6*x**3 - 97/12*x**5 + 0. Factor o(t). -5*(t + 1)**2*(8*t + 1)**2 Let x = 72 + -109. Let h = x + 40. Factor 5*q**h + 719*q**4 - 5*q**3 - 723*q**4 + 27*q**2 - 25*q + 6. -(q - 2)*(q + 3)*(2*q - 1)**2 Let n(s) be the second derivative of -s**4/12 + 55*s**3/6 - 53*s**2 + 993*s. Factor n(u). -(u - 53)*(u - 2) Let s(k) be the first derivative of 24 - 20*k - 22*k**2 - 121/15*k**3. Determine w so that s(w) = 0. -10/11 Factor 1/2*h**5 - 4352*h - 232*h**3 + 4480 + 19/2*h**4 + 1552*h**2. (h - 4)**4*(h + 35)/2 Let x(s) be the second derivative of 21*s**2 + 0 + 31/3*s**3 + 2/3*s**4 - 78*s. Factor x(z). 2*(z + 7)*(4*z + 3) Let d(t) = -14*t**3 + 355*t**2 - 1012*t - 1357. Let c(i) = 25*i**3 - 710*i**2 + 2020*i + 2715. Let l(o) = -3*c(o) - 5*d(o). Suppose l(f) = 0. Calculate f. -1, 4, 68 Suppose -t + 2 = -0*t. Suppose 4*x = -t*j + 30, -5*x = 4*j - j - 41. Factor -2 + 1 + 1 + 4*d + j*d**2 - 10*d**3 + 3*d**4 - 4. (d - 2)*(d - 1)**2*(3*d + 2) Suppose 11*v + 9 = 14*v. Let q be (-196)/(-147)*v/2. Determine t so that 0 + 2/5*t + 2/5*t**q = 0. -1, 0 Let r be ((-2)/7)/((-6)/14). Suppose -2*c - 5*u = -44 + 45, -6 = -2*c + 2*u. Factor -8 + r*q**3 + 32/3*q - 14/3*q**c. 2*(q - 3)*(q - 2)**2/3 Let x(i) = 2*i**3 - 8*i**2 - 223*i - 483. Let c be x(-7). Factor 2/15*f**2 + 4/5*f + c - 2/15*f**3. -2*f*(f - 3)*(f + 2)/15 Factor -63 - 212 + 545*b + 26*b**3 - 183*b**2 - 15*b**2 - 67*b**2 - 31*b**3. -5*(b - 1)**2*(b + 55) Suppose -124 = 16*d - 76. Let j(a) = -4*a**3 - 10*a**2 - 8*a + 13. Let m(u) = -u**3 - u**2 - 2*u + 1. Let f(p) = d*j(p) + 15*m(p). Suppose f(b) = 0. What is b? -1, 2, 4 Factor 800/7*d + 0 + 2/7*d**2. 2*d*(d + 400)/7 Let o(h) be the second derivative of 73*h**6/6 + h**5/10 - 5*h - 521. Factor o(p). p**3*(365*p + 2) Let y(f) be the second derivative of -f**6/150 + 9*f**4/5 + 72*f**3/5 + 1654*f. Find s such that y(s) = 0. -6, 0, 12 Let v(h) be the first derivative of -h**4/6 - 1244*h**3/27 + 416*h**2/9 - 4391. Factor v(y). -2*y*(y + 208)*(3*y - 2)/9 Let s(l) be the second derivative of l**6/10 - 9*l**5/5 - 47*l**4 + 672*l**3 + 18816*l**2 + 910*l + 1. Solve s(h) = 0. -8, 14 Let u = -559308 -
{ "pile_set_name": "DM Mathematics" }
u - 12256 for u. 32 Solve 2222*f - 1632 + 6076 = 0 for f. -2 Solve -2536*u + 79695 = 39849 - 170642 for u. 83 Solve -269*z - 106*z = -36*z - 19662 for z. 58 Solve 27*s + 60*s = 7*s + 814 - 1214 for s. -5 Solve 248*f - 140*f - 78525 = -939*f for f. 75 Solve -5941 = 98*b - 8088 + 6263 for b. -42 Solve 466554 = -9723*p + 2654*p for p. -66 Solve 123223*r - 122261*r - 133718 = 0 for r. 139 Solve 6598*b = 3295*b + 3292*b + 396 for b. 36 Solve -1043*d - 4770*d = 138863 + 105283 for d. -42 Solve 0 = -4095487*c + 4095427*c + 3720 for c. 62 Solve 0 = 5*t + 31*t - 698 - 1678 for t. 66 Solve -14683 = 33811*m - 34177*m + 20087 for m. 95 Solve -578*n = -227*n + 155*n + 675*n - 40154 for n. 34 Solve -147*d - 673*d - 12990 = -690 for d. -15 Solve -586*w - 22923 = -5343 for w. -30 Solve 29026*k - 29102*k = -5624 for k. 74 Solve 151*p + 133*p = -196*p + 373*p - 6099 for p. -57 Solve -7886 + 458 = 1438*r + 419*r for r. -4 Solve 25366 + 7801 = -1768*w + 1900 - 21773 for w. -30 Solve -347*a + 88 - 6334 = 0 for a. -18 Solve 17*m + 900 - 917 = 0 for m. 1 Solve -385*j - 213201 = -204731 for j. -22 Solve -31*p - 171112 + 169686 = 0 for p. -46 Solve 0 = 6964*t + 4655*t + 371808 for t. -32 Solve 3364*a + 6624 = 3456*a for a. 72 Solve -1670105 = 12100*o + 156995 for o. -151 Solve 98*k - 2999 = 4541 + 4478 - 3198 for k. 90 Solve -3626*t - 1014 + 782 = 3394 for t. -1 Solve -1884 - 5131 - 6808 = -236*i - 3439 for i. 44 Solve 6178*o + 29202 = -164719 - 9953 for o. -33 Solve -133800 = 15589*m + 137750 + 66913 - 57861 for m. -18 Solve -7609 + 14253 = -851*b - 9525 for b. -19 Solve 0 = 4*c + 1486 - 1358 for c. -32 Solve 218*t - 1029*t - 24883 + 11535 = 29635 for t. -53 Solve 13558 + 13751 = 1365*c - 408*c - 16713 for c. 46 Solve 0 = 1711*l - 6270*l - 4559 for l. -1 Solve 417*w + 3229*w + 9912 - 799 = -5471 for w. -4 Solve 45*g - 2505 - 564 = -234*g for g. 11 Solve 408*h = 43951 - 62719 for h. -46 Solve 0 = -1281*s - 12185 - 1906 for s. -11 Solve -13*j + 35*j = -171*j + 193 for j. 1 Solve -151500 = 45*q - 149385 for q. -47 Solve 42*v = -4487 + 1925 for v. -61 Solve 61*k - 189 + 1033 = 167 - 2556 for k. -53 Solve -58*n + 6445 - 8707 = 0 for n. -39 Solve -59*u + 2177 + 863 = 101*u for u. 19 Solve 2122*j - 959*j = -25586 for j. -22 Solve -19128*d - 2623537 = 899*d for d. -131 Solve 38879*c - 38968*c + 2581 = 0 for c. 29 Solve -17*p + 916 = 899 for p. 1 Solve 0 = 38*a + 2308 - 1320 - 1254 for a. 7 Solve -324*x = 37*x + 265*x - 23162 for x. 37 Solve 0 = -1605*j - 2441*j + 250852 for j. 62 Solve 523 - 9200 - 4024 = -458*y + 12947 for y. 56 Solve 0 = 94*d - 161*d + 107*d - 200 for d. 5 Solve 92*f - 56372 = -51588 for f. 52 Solve -89*w - 20876 = -20431 for w. -5 Solve 3369*v - 3628*v = -8979 - 5230 - 10137 for v. 94 Solve 25413 = 102*z + 489*z for z. 43 Solve -266173 = 312*r - 265861 for r. -1 Solve 45*d = 500*d - 910 for d. 2 Solve 0 = 6776*l - 6755*l - 210 for l. 10 Solve 148*n - 20034 = -n - 10*n for n. 126 Solve -2064*c - 91209 + 2457 = 0 for c. -43 Solve -321424 = -507*x - 341704 for x. -40 Solve 3375*g - 565*g = -2942*g + 281*g + 448622 for g. 82 Solve 11650 - 6053 - 5937 = -14*t + 4*t for t. 34 Solve 2769*b = 2731*b + 836 for b. 22 Solve -23*h = 1004*h - 64701 for h. 63 Solve -13655 = -159*j - 617 for j. 82 Solve 13331*h + 1296 = 13439*h for h. 12 Solve 3900 = -1005743*y + 1005353*y for y. -10 Solve -250*y - 3132 = -818*y - 292 for y. 5 Solve 10945*i = 10913*i + 736 for i. 23 Solve -25 + 597 = -219*q + 167*q for q. -11 Solve 448*b = 1094*b + 1511*b + 62553 for b. -29 Solve 318*x + 229*x - 684 = 509*x for x. 18 Solve 763*x + 8354 = -29033 for x. -49 Solve 128*p = -1090*p - 647*p + 161*p + 71568 for p. 42 Solve 143337*v - 286943*v + 143482*v = -15500 for v. 125 Solve 0 = -1526*p - 10116 - 69236 for p. -52 Solve -36*t = -330532 + 330676 for t. -4 Solve 61*a + 93*a + 3108 - 8225 = 35*a for a. 43 Solve 1573*o = -1040*o + 49647 for o. 19 Solve -3042599*t + 3042560*t = 1287 for t. -33 Solve -236*g + 986 - 2224 = 3402 + 1024 for g. -24 Solve 0 = 5515*k - 1117*k + 3385*k - 474763 for k. 61 Solve 1286*m - 3988*m + 27270 + 35342 + 75190 = 0 for m. 51 Solve -3271 + 2447 - 4626 = -118*w - 100*w for w. 25 Solve -4466 = -401*g + 5158 for g. 24 Solve -14257*r - 26685 - 33200 = 7303 + 18354 for r. -6 Solve 1144*r - 3700 = 15377 + 13327 - 372 for r. 28 Solve 0 = 349*h + 115845 - 99093 for h. -48 Solve 6528*t - 99628 - 7364 = -15600 for t. 14 Solve 11971*n + 24895 = 11588*n for n. -65 Solve -194670*f - 200912 = -191206*f for f. -58 Solve 98*m = -146*m - 72*m + 9480 for m. 30 Solve 0 = -3224*i + 20328 + 105408 for i. 39 Solve -56*t - 696 = -144*t + 209*t - 2753 for t. 17 Solve -149*o - 344*o + 57732 = 146*o - 73*o for o. 102 Solve 1784*w - 1782*w + 35 = 9 for w. -13 Solve 69*c - 558 = 1995 for c. 37 Solve 0 = -3812*o + 23278 - 362546 for o. -89 Solve 743*v + 1691 = 691*v - 805 for v. -48 Solve -247*p + 1546*p - 59410 = -27052 + 54675 for p. 67 Solve -227*h = 246*h + 2799 + 985 for h. -8 Solve -1313 + 89 = 55*r - 19*r for r. -34 Solve 0 = 3120*x - 618*x + 225180 for x. -90 Solve 304 = 758*v - 1535 - 4983 for v. 9 Solve -177*w + 357 = -1059 for w. 8 Solve -98*i = -297*i + 144 - 1935 for i. -9 Solve 12714 - 88550 - 33724 = -1992*y for y. 55 Solve -98*y + 4818 - 4813 + 4993 = 0 for y. 51 Solve -59*p - 46*p - 13*p = -5664 for p. 48 Solve -1934*p + 1352*p - 1779*p = 44859 for p. -19 Solve -8506*i + 151*i - 83514 = 5564*i for i. -6 Solve -491*k = 5298 + 25144 for k. -62 Solve -35*a + 292*a = -387*a + 145*a + 17964 for a. 36 Solve 2851*z - 4739 - 2128 = 15941 for z. 8 Solve 1714*b + 90*b - 215762 = -1571*b + 219613 for b. 129 Solve -2*t - 1498891 = -1498777 for t. -57 Solve 111*r + 2443 + 1062 + 1934 = 0 for r. -49 Solve 462*g - 186*g + 290*g - 2830 = 0 for g. 5 Solve -109613 + 531713 = 7035*q for q. 60 Solve 10*b + 320 = 54*b - 912 for b. 28 Solve 6232 - 248 = 176*v for v. 34 Solve 307*n + 102*n = 32*n - 13949 for n. -37 Solve -1205*q - 1129*q + 1904 = -2402*q for q. -28 Solve 0 = -99*m + 2705 - 1950 - 1745 for m. -10 Solve 2436*q + 484251 = 1782*q - 2679*q - 1874*q for q. -93 Solve 0 = 272*z - 47*z + 44*z - 6994 for z. 26 Solve 335*s = 758*s + 13536 for s. -32 Solve -2215*z = -5674*z + 75451 + 100958 for z. 51 Solve 13698 + 66326 - 24308 = -1219*o - 35709 for o. -75 Solve -1399*t - 11307 + 10452 = 115*t + 40023 for t. -27 Solve 65284266 - 65286486 = -37*j for j. 60 Solve -14*d - 107*d = -19 - 1 - 222 for d. 2 Solve 236*m + 15205 = 5529 for m. -41 Solve 1023*o - 64717 = 1486 - 10961 for o. 54 Solve 570*z + 21080 = -399*z + 659*z for z. -68 Solve 34 + 74 = -7*g - 18 for g. -18 Solve 3618*g - 2900*g = -91186 for g. -127 Solve 11*b + 34 + 30 - 10 = 5*b for b. -9 Solve 2029*j - 415*j = -402*j - 151200 for j. -75 Solve 28*f - 5892 = 185*f + 249*f + 576*f for f. -6 Solve -990355 = 49*h - 991825 for h. 30 Solve 5873*d - 5827*d = -460 for d. -10 Solve 824558*r = 824532*r - 130 for r. -5 Solve -3559 = -205*c + 7736 - 2070 for c. 45 Solve -841*t - 66232 + 6177 = 17317 for t. -92 Solve 1544*y - 5706 + 13515 = 13191 + 40938 for y. 30 Solve 395*w + 17 = 398*w - 22 for w. 13 Solve -36166 = -1843*u + 452*u for u. 26 Solve -279*u = -2133*u - 2308*u + 7874 + 46232 for u. 13 Solve -2566 = 4143*l + 1577 for l. -1 Solve 218*t + 4515*t - 140679 = -118*t for t. 29 Solve 6405*b + 1032*b = 553949 + 100507 for b. 88 Solve 30502 = -587*h - 319*h + 177*h - 3032 for h. -46 Solve 5604*m = 1809*m + 147200 + 188061 - 103766 for m. 61 Solve 134*o - 40*o + 3*o - 2250 = 47*o for o. 45 Solve -1178*d + 4768 = 51888 for d. -40 Solve 5651 + 120684 = 2297*m for m. 55 Solve -11203 - 16439 = 813*y for y. -34 Solve 153*k + 4672 = -k + 7*k - 7235 for k. -81 Solve 2121*y - 3529*y = 64768 for y. -46 Solve 41*o = -194*o + 5102 + 4298 for o. 40 Solve -305*i - 94*i + 18042 = 134*i + 49*i for i. 31 Solve -46*n + 18*n - 3441 = 42*n - 991 for n. -35 Solve -1241*v = -116043 + 202913 for v. -70 Solve 3512*g + 33600 = 2840*g for g. -50 Solve 6901862*w - 3108 = 6901788*w for w. 42 Solve 423*l + 269*l = -69*l + 3805 for l. 5 Solve -45*b + 1286 = 88*b - 7625 for b. 67 Solve -35144*u + 473280 = -42104*u for u. -68 Solve 87*k - 25998 + 29652 = 0 for k. -42 Solve 148*j - 359*j - 141 = -160*j - 1671 for j. 30 Solve -264*t + 362*t - 61732 = 599*t + 511*t for t.
{ "pile_set_name": "DM Mathematics" }
s for h. 5 Suppose 4*q + 45 = 351*d - 350*d, -2*d + 3*q = -40. Suppose 2*l + 2*v = l + 3, -6 = -l + v. Solve d*r - 5*g = 0, -r - l*g = r - 28 for r. 4 Let q(x) = x - 1. Let m be q(3). Suppose -2*y + 56 = -2*n, y - 81 = -2*y + m*n. Solve 5*f + y = -3*l, 3*f - 3*l + 4*l = -11 for f. -2 Suppose -3*n - 12 = 3*v, 4*n + 5*v + 23 = 2. Let j be (2 + -2 - 13) + -1 - n. Let l = j - -20. Solve -5*k - 2*x + 3 = 0, -2*k - 5 - l = -2*x for k. -1 Suppose 27 = 6*i - 27. Suppose i*t + 12 = -2*j + 6*t, 4*t = -16. Let v be 4/6*(-30)/(-4). Solve -5*s = -3*k + 11, 0 = -3*k - j*s - s + v for k. 2 Suppose -421*r = -441*r. Solve r = z - 3*h + 14, -z - 13*h - 8 = -15*h for z. 4 Suppose 5*n + 5 = -3*t, -3*t - 4*n - 5 = -1. Suppose t = 5*f + 31 - 41. Solve 3*v + 4 = f*j, 5*v + 15 - 5 = 5*j for j. 2 Let d be -2 + -1 + (-854)/(-122). Solve 3*o - 2*g = -d*g - 11, 1 = 3*o - g for o. -1 Let i(r) = 7*r**3 - 575*r**2 + 84*r - 162. Let g be i(82). Solve 0 = -f - j + 2, -3*j - g = 7 for f. 5 Suppose -n = 2*h - 12, 0 = 2*n + 39*h - 34*h - 28. Solve n*a + 6*g + 16 = 3*g, 4*a + 5*g + 16 = 0 for a. -4 Let p(h) = h**3 - 11*h**2 + 13*h - 14. Let u be p(10). Suppose 5*x - 95 = -10*l, l + 219*x + 18 = 221*x. Solve 0 = 2*w - 5*r - u, -l*w - r + 2*r + 14 = 0 for w. 3 Let k = -89 + -548. Let r = -632 - k. Solve -5*i = -r*t - 20, -i + 0*t + 7 = 2*t for i. 5 Let r(s) = -s**3 - 9*s**2 + 24*s + 19. Let q be r(-11). Let y be ((-4)/q)/(128/1056). Solve -3 = -2*t - y, -3*c + 5*t = -23 for c. 1 Let g be 5 + -15 + -7 + 25. Solve 3*r - 32 = 5*s, g*s - 4 = 5*s - 4*r for s. -4 Let d be 302/15 + (-34)/255. Suppose 0 = -y + d - 16. Solve -4*f + 12 = 4*b, -3*b + 4 = -y*f + 9 for f. 2 Let b(q) = 2*q**2 - 13*q + 18. Let o be b(9). Suppose -4*l - 43 = -o. Solve z - 3 = g, -l*z + 2 + 5 = -3*g for z. -1 Let t(o) = o**3 + 2*o**2 - 2*o - 3. Suppose -3*q - 17 + 14 = 0. Let p be t(q). Solve p*y - 5*w + 20 = 3*y, -25 = -4*y - 5*w for y. 5 Suppose -2*z + 3*z = -3*n + 20, n + 5*z - 30 = 0. Solve o - n*x = -7*x + 2, 0 = -5*x + 20 for o. -6 Let t = 10 - -35. Let q(h) = h**3 - 3*h**2 - 6*h - 24. Let x be q(6). Let d = x - t. Solve o = -4*w + d, -4*o + 2*w - 19 = -o for o. -5 Let v be 1 + -149 - (-180)/(-30). Let k = v - -157. Suppose 5*m = -0*m + 30. Solve -4 = -4*y + 4*s, 0 = 2*y - m*y + k*s for y. -3 Let a = -6 + 9. Suppose l - 38 = -l + 4*o, 0 = l + o - 13. Suppose -86 + 251 = l*u. Solve -w = -5*m - 10, -w - a*w + 3*m = u for w. -5 Suppose 4*v = -2*n + 10, 0 = -3*v - 3*n + 7*n + 2. Suppose v*q + 3*f + 34 = 7*q, 35 = 4*q - 5*f. Solve -2*p - 2*x = -14, -q*p + 3*x + 8 + 11 = 0 for p. 5 Let q(v) = -v**2 - 10*v - 13. Let a be q(-8). Let x(r) = r**2 - 9. Let o be x(a). Suppose o = -3*g + g + 24. Solve 5*d + 2*z = -g, -d - 2*z = -4*z for d. -2 Suppose 5*w - 17 = -4*g, -w + 7 = 90*g - 88*g. Solve 1 = -5*k - 3*a, g*k = 8*a - 7*a - 9 for k. -2 Let h be 44/10 - (-2)/(-5). Suppose -144*f = -117*f - 806 - 544. Solve 4*g + f = 5*x - g, h*x + 5*g + 5 = 0 for x. 5 Suppose -15 + 15 = 6*r. Let h be r + (6 - 0) - -2. Solve -16 + 0 = -2*p - 5*z, 0 = 2*p + z - h for p. 3 Let w = -16 + 18. Suppose -138 = -32*i + 118. Solve -w*p - 2 = 3*q + i, -5*p = 5*q + 15 for p. 1 Let k = 100 + 111. Let s = k + -206. Solve y + 4 = 2*n, 2 = s*n + 5*y + 22 for n. 0 Suppose -190*l = -97*l - 5 + 5. Solve 14 = 4*w + 2*b, l*b = 5*w - b - 14 for w. 3 Let x be (-567)/(-14) + ((-9)/(-6) - 1). Suppose x*p = 45*p - 4. Solve n = -2*r - 3, 2*n - 1 = 4*r + p for r. -1 Let m be (4/4 + -1)*-1. Solve -5 = -2*f + v, 4*f - 7 = -v - m for f. 2 Let u = -14561 - -14590. Solve 20 = -u*s + 31*s + 2*y, 4*s = 5*y - 5 for s. 5 Suppose -28 = -107*m + 114*m. Let x be (-1)/(-3)*(m + -5 + 9). Solve 4*f + 2*z - 22 = x, 5*f - 17 - 9 = -2*z for f. 4 Let k(p) = 4*p**2 + 5*p - 23. Let g be k(-6). Let i = g + -86. Suppose -4*h - 4 + 8 = 0, -5*h + i = 3*b. Solve -5*l - 20 = b, 2*x - 5*x + 5*l = -23 for x. 1 Suppose -209*k = -212*k + 15. Let c be ((-3)/k)/((-14)/140). Solve -3*x - z = -11, -3*x + 1 = -c*z + 2*z for x. 3 Let l be (-6 + (-186)/(-30))*15. Solve 4*x = b - 4*b - 3, -5*x = 4*b + l for x. -3 Let h be 44 + (0/(-3))/4. Suppose -h + 26 = -6*t. Solve -4*s + 23 = t*m + s, 5 = m + s for m. 1 Suppose -34*r + 15*r - 54 = -25*r. Solve -r = 3*s - 3*h + 6*h, -4*s - h + 3 = 0 for s. 2 Let w(r) = -19*r**3 + 20*r**3 + 115*r + 7 + 6*r**2 - 121*r. Let f be (-6)/(-2)*(-70)/30. Let y be w(f). Solve -5*t - 23 = 4*x, -2*t + 4*t + 6 = y for x. -2 Suppose 2*n - 5 = -4*x + 5, 5*n - 3*x = 12. Suppose -n*k = -12 - 0. Suppose 0 = -2*a + 4*a - k. Solve -a*j - 4*g + 12 = 0, -5*g = 4*j - 0*g - 12 for j. -2 Let n = -42 + 45. Suppose -5*w = -4*w + 4*w. Suppose -17*b + 221 = -w*b. Solve 4 - b = n*s + 3*d, -2*d - 6 = -5*s for s. 0 Let v be (8 + -2)/(184/160 + -1). Suppose v = 46*t - 26*t. Solve 0 = -0*j + j - t*l + 11, -3*l = -5*j - 27 for j. -3 Let j = 75 + -73. Let h(n) = 18*n**2 + 3*n. Let z be h(1). Solve -j*l = -5*w + 26, 5*w - 2*w - z = 3*l for l. -3 Let t be 0 + (0 - 1) - -2. Let r = -1 + t. Let w(j) = -2396*j - 198862. Let q be w(-83). Solve r = 4*b - 2*o + q + 4, -b - o - 7 = 0 for b. -4 Let y be (4/2 - (-1 + 3)) + 2. Suppose 0 = -y*n + 19 - 15. Solve -2*u + r + 16 = -6*u, u - n*r = -4 for u. -4 Let m(v) = -13*v - 181. Let o be m(-15). Suppose -5*f + 20 = 5*w, 0 = -28*w + 25*w - 5*f + o. Solve -6*l = -2*a - 2*l + 2, w*l + 3 = a for a. -3 Let p = -94 - -92. Let s be -5*((-6)/(-30) - (-4)/p). Solve 0 = 3*y + 3*q - 3, -6*y + y + s = q for y. 2 Let y(u) = 6*u**3 + 66*u**2 - 2*u - 17. Let t be y(-11). Suppose 3*f = t*f - 2*r + 2, 0 = -3*f + 2*r. Solve 0 = -j - 3*k + 9, k + 2 = f*k for j. 3 Let y(o) = o + 7. Let q = 75 + -81. Let f be y(q). Solve 2*w = 5*a - 16, f - 3 = -3*w + a for w. 2 Suppose -148 + 181 - 117 = -42*v. Solve -7*i = -5*i - v*u + 6, -5*i + 3*u = 13 for i. -2 Suppose -37*v + 35*v - 12 = 5*q, -5*v - 30 = 0. Solve 3*j - 4*j + 1 = 4*m, 3*m + 3*j + 6 = q for m. 1 Suppose -7*p = -3*p. Suppose -5*z + 74 + 111 = p. Solve -3*q + 5*k + z = 0, -25 = -0*k + 5*k for q. 4 Let r = 300 + -297. Suppose -5*z + z = -3*j - 3, 0 = 5*z - r*j - 6. Solve -z*k = -6, 4*u + 2*k - 5*k - 10 = 0 for u. 4 Let l be 4/(-14) + (-240)/(-105). Suppose -2*g = -g, -l*f = -3*g - 4. Solve -o - 3*o - 16 = -4*b, -f*b + 4*o = -18 for b. -1 Let u(s) = 2274*s - 18190. Let o be u(8). Solve -o*y - 3*q = -12 - 3, -2*y - 25 = -5*q for y. 0 Let k(f) = -27*f - 1503. Let g be k(-56). Solve 3 - g = -2*x + 5*t, x + t = 3 for x. 3 Let v be 1/3*(7 + 8). Suppose -v*h = w - 99, -7*h = -2*h + 5*w - 95. Solve -h = -4*j + u, 4*j = 2*j - 3*u + 10 for j. 5 Let r(z) = 2*z**3 - 23*z**2 + 29*z - 198. Let g be r(11). Solve -n + m + 2*m + 20 = g, 30 = 3*n - 3*m for n. 5 Let t(z) = z + 40. Let l be t(-28). Suppose -l = -31*s + 25*s. Let u = 25 + -19. Solve v + 0 = -2*q - 2, -v + s*q = u for v. -4 Suppose -21 = 56*m + 35. Let t be (m - -1 - 1) + (-3)/(-1). Solve 0 = t*s + 6*j - 4*j, -s = -j + 4 for s. -2 Let a = 1771 + -1738. Solve -5*d + 41 = 8*v - 12*v, 5*d = 2*v + a for v. -4 Let h be -617 + 609 - (-16 - -1). Solve -2*y = 2*u + 2, -30*y - 3*u - h = -29*y for y. 2 Suppose -c + 3*c = 0. Let j be 5/(-2 + -13)*-6. Suppose -2*q + 12 = 4*s, -j*s = s + 5*q - 16. Solve 4*t - 3*t = s*b - 7, c = 5*b + t - 14 for b. 3 Let x = 5393 + -5389. Solve p - 16 = -5*w, -6*p - 4 = w - x*p for w. 4 Suppose -3*r = -2*u + 19, 0*u - 2*r = 2*u - 14. Suppose -15*y + u = -52. Solve -y*z = -s - 0*z + 12, z = 5*s - 3 for s. 0 Let f = 2861 - 2880. Suppose -69 - 46 = 5*u. Let n = f - u. Solve -3*l - w - 18 = -5*w, 0 = l + 2*w - n for l. -2 Suppose -5*q + 4*r = -8 - 27, -q = -r - 8. Solve -q*i - 20*u = -22*u - 23, -4*i + 12 = 2*u for i. 5 Let m be ((-2)/(-5))/(3/(-15)). Let u(k) = 5*k + 38. Let v(a) = -a - 8. Let i(p) = 2*u(p) + 9*v(p). Let l be i(m). Solve -l*z - w = 5, 4*z + 3*w + 5 = -4 for z. -3 Suppose 3*q - 2 + 1 = 4*c, -2*q - c - 14 = 0. Let i be (-6)/21 - 23*q/35. Solve 5*t + i*s + 34 = 0, -4*s = 4*t + t + 37 for t. -5 Let g(j) = -3*j**3 + 14*j**2 + 5*j + 2. Let c be 14/4 + 6/4. Let u be g(c). Suppose 0 = u*b + 9*b - 110. Solve 0 = -3*l + h + b, 5 = 4*l + h - 20 for l. 5 Let v(g) = -g**3 + 14*g**2 + 27*g - 158. Let k be v(3). Solve -m = 5*i - k, -5*m = -16*i + 17*i - 14 for i. 4 Let o = 122 - 111. Let r be (-6)/(-2) + (o - 9). Solve -5*q - 3 - 7 = -3*n, q = r*n + 20 for q. -5 L
{ "pile_set_name": "DM Mathematics" }
3/(f - -2) - -1. What is the greatest common factor of u and 22? 2 Let t = 13 - 9. Suppose 0 = t*g + 11 - 51. What is the greatest common factor of g and 4? 2 Suppose -365 = -5*b - 5*n, -3*b = -3*n + 2 - 251. Suppose -b = -2*u - 30. Calculate the highest common divisor of u and 8. 8 Suppose -9*n + 81 = -0. Calculate the highest common factor of 9 and n. 9 Suppose 5*g + 2*n = 284, 0 = 3*g - g + 3*n - 118. Calculate the highest common divisor of g and 84. 28 Let k(l) = 5*l - 7 - l**2 + 2*l**2 - 2*l. Let s be k(-5). What is the greatest common factor of 27 and s? 3 Suppose -5*m - 3*b + 286 = 0, 0*m - 2*m + 124 = -2*b. Let a = 99 - m. What is the highest common factor of 8 and a? 8 Suppose -m = 3*m - 20. Suppose m*w = -0*r + 5*r - 105, -5*r - 5*w = -115. Let x = -61 - -149. What is the greatest common factor of x and r? 22 Let k(b) = b**2 + 5*b - 2. Let z be k(-6). Suppose -z*m = 3*g - 49, 4*g - 2*m - 40 = -m. Calculate the highest common divisor of 11 and g. 11 Suppose s + 0*s = -7. Let x(c) = -c**2 - 12*c - 3. Let j be x(s). Calculate the highest common divisor of j and 8. 8 Let s be 0/(0 + 2 + -4). Let d = -3 + s. Let b = 15 + d. Calculate the highest common factor of b and 12. 12 Let x(j) = j**3 + 6*j**2 + 3*j + 5. Let y be x(-5). Calculate the highest common divisor of y and 135. 15 Let x be 0 - -1 - (-102)/2. What is the highest common factor of 13 and x? 13 Let w = -3 - -9. Let y be (w + -7)/(2/(-8)). What is the highest common divisor of y and 12? 4 Suppose -5*x - 17 = -3*r, -1 = 3*x + 11. Let l be r/(-6) - 105/(-18). Calculate the highest common divisor of l and 6. 6 Suppose -5*c + 2*c - 25 = -2*p, -41 = -3*p + c. Suppose 3*y - 10 = 2*m, 9*y - p = 4*y + 2*m. What is the greatest common divisor of 5 and y? 1 Suppose 48 = 4*y - 0*y. Let a = y + -1. Calculate the highest common factor of 22 and a. 11 Let g be 1*-33*6/(-9). What is the greatest common factor of g and 11? 11 Suppose 607 = 3*t + 121. Suppose 2*v = v + t. Calculate the greatest common divisor of 18 and v. 18 Let s(m) = m**2 + 15*m + 27. Let d be s(-14). What is the greatest common factor of 39 and d? 13 Suppose 4*l = 2*n + 474, 0 = 4*n + 7 + 5. Calculate the highest common divisor of l and 13. 13 Let q be 2/3 - 222/(-18). Let l be (-559)/(-3) - (-3)/(-9). Let u be 2/(-7) + l/14. What is the greatest common divisor of q and u? 13 Suppose 4*d - 364 = 3*d. What is the greatest common factor of 28 and d? 28 Let x be 10/25 + (-690)/(-25). What is the highest common factor of 56 and x? 28 Suppose 9 = -c + 3*r, -r + 5 = 5*c - 6*r. Let t(i) = -5*i + 2*i**2 + 3*i**2 - 3*i. Let w be t(c). What is the highest common divisor of 12 and w? 12 Let t(p) = p**3 + 5*p**2 + 3*p + 1. Let m be t(-2). Let y(h) = -h + 7. Let b be y(0). What is the greatest common factor of b and m? 7 Let g be (11/(-7) + -1)*504/(-27). What is the highest common divisor of 12 and g? 12 Let w = 136 - 31. What is the highest common divisor of w and 42? 21 Let k be ((768/(-20))/(-3))/(2/10). Calculate the greatest common divisor of 48 and k. 16 Let o(q) = 6*q**2 - q. Let h be o(1). Let s be 1 + -4 + (h - 4). Let n be (3 - -2) + s*1. What is the highest common divisor of 3 and n? 3 Let r = 1 - 2. Let o be (-2)/2*r - -45. Suppose 5*q - 14 = o. Calculate the highest common factor of 24 and q. 12 Let j be (45/54)/((-1)/(-6)). What is the greatest common divisor of j and 55? 5 Let g(x) = -66*x. Let s be g(-1). Calculate the greatest common factor of 6 and s. 6 Suppose -2*z + 236 = 5*t + 2*z, -4*t - 3*z = -188. What is the greatest common divisor of t and 44? 44 Let w = -179 - -54. Let m be (-448)/(-6)*(2 - -1). Let b = m + w. What is the highest common factor of 11 and b? 11 Let h be 4*-3*7/(-4). Suppose 4*v + z = 26 + 33, -30 = -3*v + 4*z. Calculate the highest common factor of h and v. 7 Suppose 3*d - 1 = 5. Suppose -b - d - 3 = 0, 2*i + 10 = -4*b. Suppose -i*m = -3*m - 6. Calculate the greatest common factor of m and 3. 3 Suppose 3*v - 13 - 11 = 0. What is the greatest common divisor of v and 152? 8 Suppose 27 = 2*j - 49. Calculate the highest common factor of j and 57. 19 Suppose 2*h = -2*h. Let a be (6 + -2)*(1 - h). Suppose -a*d = 2*t - 117 - 97, 0 = -2*d + 2. What is the greatest common divisor of 15 and t? 15 Suppose -5*c - 3*k = -213, 4*c - 217 = -c - 2*k. Suppose h - 2*x = 11, h - 2*x - 14 = x. Calculate the highest common factor of c and h. 5 Let x = -4 + 6. Let d = -6 + 5. Let v be (-10)/d*(3 + -2). Calculate the highest common factor of v and x. 2 Let f be 10 - 3/(-12)*-4. Calculate the highest common divisor of 9 and f. 9 Let k = 11 + -8. Suppose -4 = -k*s + 2. Let z(n) = -n**2 - 5*n - 2. Let y be z(-3). Calculate the highest common divisor of y and s. 2 Let z be (-3 - -3)/(-3) - -2. Suppose m + 3*d = z*m + 3, 0 = -3*m - 4*d + 30. What is the greatest common factor of 4 and m? 2 Let q(o) = 2*o - 13. Let a be q(7). Let r be (7/3)/((-2)/(-6)). What is the greatest common divisor of r and a? 1 Let s be (12 + 1)/(1 + 0). Calculate the highest common divisor of s and 143. 13 Suppose 0 = -3*r + r + 6. Let x = 0 - -5. Suppose 3*p - 4*p = -r, -5*y + 455 = x*p. What is the greatest common divisor of 8 and y? 8 Suppose -2*r + 6*r = h + 37, 4*r = 4*h + 40. Calculate the highest common factor of 27 and r. 9 Let g be ((-5)/2)/(1/(-2)). Suppose -3*v - g = -173. Calculate the greatest common divisor of v and 14. 14 Suppose 0 = g + 3, 4*j - 2*g - 5 - 9 = 0. What is the highest common factor of 1 and j? 1 Let t(l) = 2*l**3 - 2*l**2 + 2*l - 3. Let m be t(2). Let u be m/(-2)*64/(-12). Suppose 108 = 5*y - 2*y. What is the greatest common divisor of y and u? 12 Let w be (1/(-2) + 1)*4. Suppose 0 = w*i, s - 44 = 5*i + 37. Let c = 12 + -3. Calculate the highest common factor of s and c. 9 Let b = -4 - -15. Let r = 15 - b. Suppose 3*i = r*i - 1. Calculate the highest common divisor of 4 and i. 1 Suppose 28 = u + u. Let j(b) = -6 + 6*b**2 + 3 + 2*b + b. Let o be j(-3). Calculate the highest common divisor of u and o. 14 Let j = 18 + -6. What is the greatest common divisor of 108 and j? 12 Let i be (-6 + 20)/(2/3). Let v be 3*-1*(-14)/(-3). Let o be (5/(-5))/(1/v). What is the highest common factor of i and o? 7 Let n be (-3)/(-5) - (7533/(-15))/3. What is the highest common divisor of n and 21? 21 Suppose -72 = -5*a + 18. Calculate the highest common divisor of 2 and a. 2 Let t = -60 + 92. What is the highest common divisor of t and 192? 32 Let h(p) = -p**2. Let r be h(2). Let s be r/22 + 688/(-88). Let v = 16 + s. Calculate the greatest common factor of v and 24. 8 Let g be (-6)/9*-6 - -41. What is the greatest common factor of g and 9? 9 Let u = -11 - 5. Let h be (-10)/(-2) - u/(-4). What is the highest common divisor of h and 2? 1 Let m be (-83)/(-4) + 2/8. Suppose z - 50 = -4*q, 4*z = -2*q + q + 20. Let c be (6/1)/(q + -10). Calculate the greatest common divisor of c and m. 3 Let l = 14 + -3. Let t = l - 7. Suppose 2 - 6 = -t*s. What is the greatest common divisor of s and 5? 1 Suppose 3*m + 4*j = 194, m = -2*j + 1 + 61. Let a be (-16)/6*45/(-12). Calculate the greatest common factor of a and m. 10 Let r(o) = o**3 + 7*o**2 - 3*o + 11. Let q be r(-5). What is the greatest common factor of 190 and q? 38 Let o = 3 - 1. Suppose 2*i = 2, -5*j - i - o = -23. Suppose 0 = w + 2*r - 20, -17 = 3*w + j*r - 67. Calculate the greatest common divisor of 90 and w. 10 Let c = 6 + -22. Let t = c + 26. Calculate the greatest common factor of t and 4. 2 Suppose w + 150 = 2*w + 5*u, 4*w - u = 684. What is the highest common divisor of 68 and w? 34 Suppose -2*n = -5*h - 5, 2*h = -0*n + n - 1. Let l be (-7)/h*3 - 3. Calculate the highest common factor of 28 and l. 4 Let x = 6 + -4. Let j be x + (25 + 0 - -1). Let a(u) = -u**3 + 13*u**2 - 12*u + 4. Let n be a(12). Calculate the highest common divisor of n and j. 4 Let z = 6 - 4. Suppose -z*y = y - 12. Let w be 2 - -3 - 1/1. What is the greatest common divisor of w and y? 4 Let i(o) be the third derivative of o**5/20 + o**4/24 + o**3/3 - 2*o**2. Let g be i(2). Let j = 67 - 27. What is the highest common divisor of g and j? 8 Let l(m) = m + 36. Let k be l(0). Suppose 2*s = 2*r + 48, 0 = 2*s + r + 2 - 50. Calculate the greatest common divisor of s and k. 12 Let k be ((-20)/4 + 2)*-22. What is the greate
{ "pile_set_name": "DM Mathematics" }
)? 2 Suppose -4*z = 5*k - 10, -10 - 12 = -2*k + 2*z. Let m be (-9)/1 + -1 + 2. Let x = -5 - m. What is the remainder when k is divided by x? 0 Suppose c + 36 = 4*y, 2*y - 130 = -3*c + 7*c. Let h(d) = 14*d**3 + d**2. Calculate the remainder when (-2 + 3)*(-4 - c) is divided by h(1). 13 Suppose p + o = 25, -5*o = 2*p + 2 - 61. Let r = 7 + -6. Calculate the remainder when p is divided by (r - -29)*8/20. 10 Suppose 2*w - 36 = -2. Calculate the remainder when 50 is divided by w. 16 Let v = -18 - -25. Calculate the remainder when 20 is divided by v. 6 Suppose -1 - 3 = -4*l. Calculate the remainder when 30 is divided by 3*l - (10 - 15). 6 Suppose -3*m + g + 27 = 6*g, -2*m - g + 11 = 0. Suppose m*o = 15 + 25. Suppose -3*s = -8*s + 90. What is the remainder when s is divided by o? 8 Let d = -95 - -140. What is the remainder when d is divided by 10? 5 Let p = 5 + -3. Suppose -2*j + 16 = p*l, -5*l + 3 + 35 = 4*j. What is the remainder when 16 is divided by l? 4 Suppose -3*x + 97 = -272. Calculate the remainder when x is divided by 31. 30 Let a(q) = -2*q - 6. What is the remainder when a(-5) is divided by 3 + (-3)/(-6) - (-9)/(-18)? 1 Let v(z) = -z**2 - 11*z - 8. Let b be v(-10). Let f = b - -10. Let h = 10 - 3. What is the remainder when f is divided by h? 5 Let h(a) = -a**3 + 10*a**2 + 12*a + 3. Calculate the remainder when 81 is divided by h(11). 11 Let w = -139 - -220. What is the remainder when w is divided by ((-25)/(-50))/((-2)/(-56))? 11 Let j = -1 - -3. Suppose 0*m = 5*m. Suppose 5*p = m, 7 = 2*x + 3*p - 5. What is the remainder when x is divided by j? 0 Suppose 3*t - 2*a - a + 54 = 0, 96 = -5*t + 2*a. Let v = -7 - t. Calculate the remainder when v is divided by 5. 3 Calculate the remainder when 89 is divided by 4 - (210/3)/(-5). 17 Let y = 43 - 27. What is the remainder when 63 is divided by y? 15 Suppose -22 = 2*r - 74. Suppose -18 = s - 3*s. Calculate the remainder when r is divided by s. 8 Let j = 7 - 1. What is the remainder when 22 is divided by j? 4 Suppose 0*k - k = 5*z + 102, 96 = -5*z + 2*k. Let y(o) = -o**3 - 1. Let c be y(1). Let q = c - z. What is the remainder when 35 is divided by q? 17 Let v be (-2)/3 - 8/(-3). Let l(z) = 3*z - 2. Let u be l(v). Suppose -4*m = -u*i + 24, m = 6*i - 3*i - 10. What is the remainder when 4 is divided by i? 0 Let s(y) = -32*y + 2. Let u be s(-3). Suppose -u = 3*a - a. What is the remainder when a/((-3)/3 - 0) is divided by 17? 15 Suppose 0*i - 4*i + 28 = 0. Suppose 2*o - 12 = o. Calculate the remainder when o is divided by i. 5 Let l(u) = -u**2 + 4*u + 1. What is the remainder when 10 is divided by l(2)? 0 Let t be -2 - ((-10 - 1) + 3). Calculate the remainder when ((-38)/t)/((-6)/18) is divided by 7. 5 Let w be (-7)/4 + 5/(-20). Let v be w - (-2 + -2 - -2). Calculate the remainder when -1*(-1 - 27 - v) is divided by 10. 8 Let h = 247 + -154. Calculate the remainder when h is divided by 32. 29 Let y(g) = 4*g**2 - 2*g + 1. Suppose 0 = 4*h + r, 0 = -5*h + 3*r + 19 - 2. Let b(z) = 2*z + 14. Calculate the remainder when y(h) is divided by b(-6). 1 Suppose t - 6*h = -h + 103, -t + h + 111 = 0. Calculate the remainder when t is divided by 39. 35 Let n = -11 - -5. Let u = 6 + n. Suppose 5*a + 18 - 93 = u. What is the remainder when a is divided by 8? 7 Suppose 17*o - 22*o = -180. What is the remainder when 6 is divided by 1*8 - o/9? 2 Suppose u + 3*v = 19, -2 = u - v - 5. What is the remainder when 25 is divided by u? 4 Suppose -5*y + 57 = -88. Let c = 5 + 10. Calculate the remainder when y is divided by c. 14 Let j be (-6)/21 - 2/(-7). Let z be ((-3)/(-6)*4)/1. Let n = z + j. What is the remainder when 5 is divided by n? 1 Suppose 5*p = 3*w + 741, 5*p - 592 = p + 2*w. Suppose 0 = -0*h - 3*h + p. Calculate the remainder when h is divided by 26. 23 Let l = -22 - -54. Calculate the remainder when 126 is divided by l. 30 Suppose -o - 4*o - 5*n = -175, -41 = -o + 5*n. What is the remainder when o is divided by 13? 10 Let x = 331 - 110. What is the remainder when x is divided by 28? 25 Suppose 4*v - 48 = 3*v. Calculate the remainder when v is divided by 13. 9 Let o(h) = 3*h - 6. Calculate the remainder when 35 is divided by o(6). 11 Let o(g) = g**3 + 7*g**2 + g + 5. Let l be o(-6). Suppose l = -5*i + 130. Let y = i + -9. What is the remainder when 19 is divided by y? 9 Suppose 5*y = -3*k + 110, -3*y + 16 = y. Calculate the remainder when 59 is divided by k. 29 Let w be 3/(-9) - (-7)/3. Suppose 4*u + w = 5*u. Let x(a) = -2*a - 5. What is the remainder when x(-4) is divided by u? 1 Let t = 4 + 11. What is the remainder when t is divided by 6? 3 Suppose -p = -2*p. Suppose -r + 3*k - 2*k - 8 = p, -4*r + 3 = 3*k. Calculate the remainder when -3*((-4)/r + -2) is divided by 1. 0 Let c(j) = -3*j + 1. Calculate the remainder when 21 is divided by c(-1). 1 Suppose -16*v + 120 = -11*v. Calculate the remainder when 70 is divided by v. 22 Let y(c) = -c + 10. Calculate the remainder when 8 + 6 - 1*2 is divided by y(5). 2 Suppose -10*w + 60 = -7*w. What is the remainder when 77 is divided by w? 17 Let j(o) = -o + 22. Calculate the remainder when 20 is divided by j(10). 8 Suppose 6 = 4*t - 62. Calculate the remainder when t is divided by 6. 5 Calculate the remainder when (0 + 8/6)*(-294)/(-28) is divided by 5. 4 Suppose 0 = -c + 3. Let r be -4 + (c - (-1 + 2)). Calculate the remainder when r*42/(-4) + -1 is divided by 7. 6 Let o = 6 - 0. Suppose 0*a - 3*a - 4*h - 7 = 0, -2*a + 4*h + 22 = 0. Suppose 3*y + 5*z = y + 12, z - 31 = -a*y. What is the remainder when y is divided by o? 5 Suppose 0 = -3*f + 3 + 6. Calculate the remainder when 89 is divided by 27 - (2 - (1 - f)). 20 Suppose 2*k + 5*o = -0*o + 60, 0 = 3*k - 2*o - 52. What is the remainder when 35 is divided by k? 15 Let a be 104/32 + 2/(-8). Suppose a*w = -8 + 95. Calculate the remainder when w is divided by 11. 7 Suppose h + 7 = 46. What is the remainder when h is divided by 10? 9 Let l(j) = 6*j**2 + j + 2. Let v be 1*2/((-4)/2). Calculate the remainder when 33 is divided by l(v). 5 Suppose -4*g = -2*f + 3*f - 64, 3*g = -2*f + 43. Let t = g - 16. Calculate the remainder when t is divided by 1. 0 Suppose -4*g = 14 - 38. Let q(u) be the third derivative of u**4/6 + u**3/3 - 12*u**2. Calculate the remainder when q(g) is divided by 9. 8 Suppose 2*o - 236 = -2*r, -4*r - 122 = -2*o + 84. What is the remainder when o is divided by 23? 21 Suppose -8*r + 6 = -5*r. Calculate the remainder when 5 is divided by r. 1 Let f = 13 - -5. Calculate the remainder when 89 is divided by f. 17 Let l(c) = 17*c**2 - 12*c + 15. Suppose 5*v + 4*m - 87 = 0, 2*m = -3*m + 15. Calculate the remainder when l(2) is divided by v. 14 Suppose -33 - 18 = -4*n + 3*j, n - 9 = -3*j. Suppose -3*p = u - p - 42, u - 44 = -p. Calculate the remainder when u is divided by n. 10 Suppose -5*n + 15 = 0, 0 = -7*x + 3*x + n + 365. What is the remainder when x is divided by 48? 44 Suppose -2*o - 2*i = o - 37, 0 = -3*i + 15. Suppose f - 29 + o = 0. What is the remainder when f is divided by (3 + -2 - 0) + 10? 9 Let d = 72 - 41. What is the remainder when 153 is divided by d? 29 Suppose 0 = i - 2*i + 220. Suppose -h = 4*h + i. What is the remainder when h/6*(-3 + 0) is divided by 12? 10 Calculate the remainder when (-131)/(-1)*2/2 is divided by 33. 32 Let d = 440 + -397. Suppose -t - t + 4*g + 30 = 0, -5*t - g = -75. Calculate the remainder when d is divided by t. 13 Let f(c) = -5*c - 10. Let s be f(-8). Suppose 3*r = 5*y + s, -r = -y - 4*y - 20. Calculate the remainder when 18 is divided by r. 3 Suppose 0 = -5*v - 22 + 62. Suppose -2*o + 108 + v = 0. Calculate the remainder when o is divided by 20. 18 Let i(r) = 3*r**3 - 2*r**2 + 2*r + 2. Let t be i(2). What is the remainder when (-6)/33 + 70/t is divided by 3? 0 Let q(o) = o**3 + 9*o**2 - 4*o - 17. Let f(w) = w**3 + 7*w**2 - 5*w - 8. Calculate the remainder when q(-4) is divided by f(-7). 25 Let m = -5 + 8. Suppose 3*d = 4*y - 0 - 8, m*y - 31 = -4*d. What is the remainder when -4*((-11)/d - 0) is divided by 4? 3 Let b(z) = -7*z**3 + z - 1. Let l be b(1). Let o(c) = c**3 + 8*c**2 + 3*c + 7. What is the remainder when o(l) is divided by 12? 11 Let c(j) = -8*j - 62. Calculate the remainder when c(-15) is divided by 31. 27 Suppose 4*f - 2*p - 17 = 3*p, 3*p = -3. Let j = 5
{ "pile_set_name": "DM Mathematics" }
0.979. Round r to two decimal places. -0.08 Let b = 31926.947956 - 31927. What is b rounded to 2 dps? -0.05 Suppose 2*w + 186 = -3*w + l, -2*l = -w - 30. Let k be (-4)/(-38) + (-12992)/w. What is k rounded to the nearest 10? 340 Let f = -57112 + 55215.05. What is f rounded to the nearest 100? -1900 Suppose -14*o - 4720891 = -15201291. What is o rounded to the nearest 100000? 700000 Let w = 5831 - 5882.24. Round w to zero dps. -51 Let y = -479 + 478.9473. Let f = y + 0.1236. Let l = 60.3291 + f. What is l rounded to the nearest 10? 60 Suppose -42*t + 40*t = 0. Suppose a - 3*w - 3 = t, 4*a - 12 = -4*w - 0. Suppose 1581 = 5*q - 3*d, 0 = a*d - 5*d + 6. What is q rounded to the nearest 10? 320 Let h(m) = -5949*m + 683. Let s be h(17). Round s to the nearest one thousand. -100000 Let l = -2086.336 - -2069. Let t = -0.364 + l. Round t to the nearest integer. -18 Let y(f) be the second derivative of -f**3 + 0 - 9*f - 1/12*f**4 + 6793/2*f**5 - 3/2*f**2. Let i be y(-7). Round i to the nearest one million. -23000000 Let w = 3981 + -3567.6. Let s = -448 + w. What is s rounded to the nearest 10? -30 Let k = -53 + 33. Let j be 1/(((-8)/k)/2). Suppose j*m + 187 = -1813. What is m rounded to the nearest 100? -400 Let s = -52252 - -54007.52. Let v = 1753.620176 - s. Let d = v + 1.9. What is d rounded to 4 decimal places? 0.0002 Let n = 510.4 - 510. Let q = n + 190.1. Round q to the nearest 10. 190 Let g = 0.52220266 + -0.5222. What is g rounded to 6 dps? 0.000003 Let b = 0.95758 + 4.70152. Round b to one dp. 5.7 Let s(m) = -643*m - 133. Let z be s(-11). Suppose -w = -2500 - z. Round w to the nearest one hundred. 9400 Let b(a) = 8001 + a**2 - 3*a - 8055 - 36*a. Let r be b(17). Round r to the nearest 100. -400 Let m = -0.00790034 - -0.008. What is m rounded to 5 decimal places? 0.0001 Let y = 22668183 - 22672294.6277. Let b = y + 4112. Round b to 2 decimal places. 0.37 Let j = -37535.2677 + 37530. Let l = j + 5.3. What is l rounded to two decimal places? 0.03 Let h = -23423.34791 + 3.44791. Round h to the nearest 1000. -23000 Let v(x) = -x - 52. Let k be v(-39). Let g(z) = -35*z**2 - 34*z + 33. Let h be g(k). Round h to the nearest one thousand. -5000 Let l = -39 - -26. Let u = l - -21. Let o = -7.895 + u. What is o rounded to 2 decimal places? 0.11 Let o = 121166.3059 + -121173. What is o rounded to the nearest integer? -7 Let g be (-7 - -3)/((-3)/39). Suppose 45*c - g*c = 0. What is c rounded to the nearest ten thousand? 0 Let o = -17 - -20. Suppose -5*q + 0*h = -o*h + 4541169, 4*q + 5*h + 3632913 = 0. Let y = q + 2538232. Round y to the nearest 100000. 1600000 Let o = 9611 + -9660.89. What is o rounded to the nearest ten? -50 Let u = 2460 + -1732. Let w = u - 727.9999723. Round w to six decimal places. 0.000028 Let g = -101188.44961 - -101188. What is g rounded to three dps? -0.45 Let k = 266.129898744 - 301.129899. Let j = 35 + k. What is j rounded to 7 dps? -0.0000003 Let t = -21089 + 19120.9. What is t rounded to the nearest one hundred? -2000 Let b be (-4)/(-1) - 24/(-8). Suppose 0 = -3*a - b + 19. Suppose -3*l - 330 = -a*d, -l - d - 123 = 2*d. What is l rounded to the nearest 10? -110 Let h(x) = x**3 - 5*x**2 + 5*x. Let j be h(4). Let b(a) = -3*a - 3*a**3 - a + j*a**3 + 14*a**2 + 9. Let w be b(-14). Round w to the nearest ten. 70 Let u be 22/198 - (1 - 27147568/(-36)). Round u to the nearest 100000. -800000 Let j = -16625.539 - -16643. Round j to the nearest integer. 17 Let t = 227024.87203 - 227026. Round t to one decimal place. -1.1 Let h = 62854838977.00017 + -62855383237. Let w = -544263 - h. Let k = -3 - w. What is k rounded to five decimal places? 0.00017 Let u = -53396289 - -96786855. Suppose -7*g = 6010566 - u. What is g rounded to the nearest 1000000? 5000000 Let y = 4827672939.11659 - 4827692904. Let z = -19965 - y. Let o = z + 0.113. Round o to four decimal places. -0.0036 Let j = -60.536 + 60.53549079. Round j to five dps. -0.00051 Suppose -x + 2*z + 10 = 0, -2*x + 10 = -7*x - 5*z. Let a(u) = 3 - 6*u - 3*u**2 + 0*u**2 + 21111*u**3 + 5*u**x. Let f be a(3). Round f to the nearest 100000. 600000 Let x be (4 - (-20)/(-4))*-3. Suppose -5*k - 5960001 = -u, 4 = x*u + 1. Round k to the nearest 10000. -1190000 Let j = -237.66581 + 5.78281. Let i = 232 + j. Round i to three decimal places. 0.117 Let s = 15837.0000024423 - 15837. Round s to 7 decimal places. 0.0000024 Let m = 104 + -244. Let c = m - -140.000637. What is c rounded to four decimal places? 0.0006 Suppose -3738002 = 58*x - 56*x - c, 2*x = -4*c - 3737992. What is x rounded to the nearest 100000? -1900000 Let f be (-1 - 0)/((-4)/24). Suppose 2*l + 0*l = 5*c + 12, 0 = -2*l - 5*c - 28. Let z be (f/8)/(l/(-96)). What is z rounded to the nearest integer? 18 Let f = 2.0474515 + -2.0479. What is f rounded to 5 dps? -0.00045 Let c = -77233 - -77233.0047689. What is c rounded to 5 decimal places? 0.00477 Let p = 111 + -269. Let i = p - -157.999999969. What is i rounded to seven decimal places? 0 Let s = -4304.699970991 - -4304.7. Round s to six dps. 0.000029 Let j = -5884 + 5884.0015028. What is j rounded to 3 decimal places? 0.002 Let o = 21 - 19. Let y be (o - 474)/((-4)/(-38)). Let k = 8784 + y. What is k rounded to the nearest 1000? 4000 Let n = -3.6 + -16.4. Let z = -274 + 250.6. Let j = z - n. What is j rounded to one dp? -3.4 Suppose -638*b = -629*b + 13860. Let w = b - -723. Round w to the nearest 100. -800 Let l = -10090.9896 - -10170. Let k = 79 - l. Round k to 2 decimal places. -0.01 Suppose 132*b - 15*b = -9617166000. Round b to the nearest 1000000. -82000000 Let g = 155.11299836226 + -155.113. Round g to 7 decimal places. -0.0000016 Suppose 503*o - 7766934 = 168283066. Round o to the nearest 1000000. 0 Let r = 25275072515 - 25275072646.49994371. Let h = -131.5 - r. Round h to 5 dps. -0.00006 Let s = -71.8 + 43. Let k = s - -28.8000111. Round k to six dps. 0.000011 Let p = 0.197 - -0.043. Let u = p - 71.24. Let n = u + 71.00057. What is n rounded to four dps? 0.0006 Let p = 39.1 - 38.746. Let o = p - 21.954. What is o rounded to the nearest ten? -20 Let z = -567.3000007893 - -567.3. What is z rounded to 7 dps? -0.0000008 Let b = -263.21 + 263.262784. Round b to three decimal places. 0.053 Let k be (-14)/49 + (-2200866)/14. Let b = -240164 - -446959. Let x = b - k. Round x to the nearest one hundred thousand. 400000 Let s = 65739341 - 6562341. What is s rounded to the nearest 1000000? 59000000 Let d = -1236.9 + 1236.89988466. What is d rounded to 5 dps? -0.00012 Let p = -2258.982 + 2259. Let o = -173426.01800216 - -173426. Let r = p + o. What is r rounded to seven decimal places? -0.0000022 Let a = 12759 - 12751. Let j(n) = -n**2 - 4*n. Let f be j(-3). Suppose -3*t - 4 = a, -2448 = 3*s - f*t. Round s to the nearest 100. -800 Let d = -0.246 + -17.074. Let f = d + 17. Let k = -0.3200037 - f. Round k to 6 dps. -0.000004 Let t be (23/1)/(800829/(-10009100) + 4/50). Round t to the nearest 10000. -2280000 Let s = -93.341 - 1.659. Let w = -0.552 + 87.952. Let h = w + s. What is h rounded to 0 dps? -8 Let l = -61708 - -86429. Suppose l = -8*u + 90721. What is u rounded to the nearest one thousand? 8000 Let m = -118 - -116. Let g be 10893378978/295 + m*(-2)/(-10). Let u = -20826708 + g. What is u rounded to the nearest one million? 16000000 Let r = 20433.000029252 + -20433. What is r rounded to 5 dps? 0.00003 Let j = 1.4 - 1.51. Let d = 65.987 - 66. Let f = j + d. What is f rounded to two decimal places? -0.12 Let a(w) = -445*w - 9153. Let v be a(-21). What is v rounded to the nearest one hundred? 200 Let o be (-884)/(-12) + (-8)/(-6). Suppose i = -79 + o. Let m be 2*-38 - i - 0. Round m to the nearest 10. -70 Suppose -8*i + 0*i - 112 = 0. Let h(l) = l**3 + 15*l**2 + 17*l + 18. Let q be h(i). Let u = 3 + q. What is u rounded to the nearest ten? -20 Let n = 0.007123 - 618.440123. Let v = n + 0.433. Let z = v - -618.000000829. What is z rounded to seven dps? 0.0000008 Let h(c) = 2*c + 19. Let a be h(-7). Suppose -3*j = -4 - a. Suppose 4*u + j*f = 12480003, -u + 3*u - 5*f = 6239995. Round u to the nearest one hundred thousand. 3100000 Let t = 2447716 + -2447713.799921. Let u = 0.09 + 2.11. Let b = t - u. What is b rounded to five decimal places? 0.00008 Suppose 0*o = -3*o - 5*y + 21951276, -5*y =
{ "pile_set_name": "DM Mathematics" }
Let k be 1/a*(-6 + 0). Let l(c) = 20*c**2 + 3*c - 3. Is l(k) a composite number? False Let r(t) = t**2 - 2*t + 191. Suppose 8*w = 10*w. Is r(w) a prime number? True Let a(z) = -z**3 + 15 - z + 7*z**2 + 4*z**2 - 3. Let u be a(11). Is 2 - 1 - (-25)/u composite? True Let t = -4 + 7. Let y(x) = -3*x + x**t - 4*x**2 + x**3 + 4 + 2*x. Is y(3) composite? False Suppose 3*l - l - 4*v - 194 = 0, 3*l - 2*v - 307 = 0. Let r = l - -62. Is r a composite number? False Let c(s) = 3 - 2 + 18*s + 4*s - 2. Is c(1) prime? False Suppose 0 = o - 47 - 54. Suppose -o = -3*u + 3*x + 13, -x = 4*u - 152. Is u composite? True Let a = -6 + 7. Is a*-4*388/(-16) a composite number? False Let r be 4/2 + 203 + 1. Let v = -69 + r. Suppose 0 = -0*c - 4*c + 5*a + v, -96 = -3*c - 3*a. Is c composite? True Let u = 15 + -3. Suppose 3*g - 3*z - 332 = -2*z, -5*z + 5 = 0. Is 2/(u/g)*2 a prime number? True Let h be (-15)/5*(-1)/(-3). Is (0 + h)/((-2)/638) composite? True Let h(y) = 8*y + 6. Let k be h(5). Let a = k + -31. Is a a prime number? False Let d(m) = 12*m**2 + 8 - 20*m**2 + 5*m - m**3 + 3*m**3. Is d(7) composite? False Suppose 4*x + 498 = -2*l - 290, 0 = -2*x + 10. Let c = -65 + l. Let a = -210 - c. Is a a prime number? False Let i = 326 + -208. Is i composite? True Let b(x) = -6*x - 1 + 7*x**2 - x**3 - 4 + 4. Is b(5) prime? True Suppose -641 = 2*k + 359. Is (-1)/3 - k/6 prime? True Suppose -2*s + 222 = -0*s. Is s prime? False Let x(k) = -20*k**2 + 2*k + 9. Let d(g) = -g - 9 + g + 8 + g**2. Let i(q) = -6*d(q) - x(q). Is i(-2) a prime number? False Let a(x) = -x**3 - 4*x**2 - 5*x - 4. Let r be a(-3). Suppose -218 = r*o - 4*o. Is o a composite number? False Let x(l) = -l**3 - 2*l**2 + l + 4. Let n be x(4). Let t = n - -124. Is (-2301)/(-27) + (-8)/t prime? False Let n = 78 + 9. Is n composite? True Let n be (516/(-15))/((-4)/(-20)). Is 3/(-2)*n/3 prime? False Suppose -3*i = -0*i - 12. Is i/18 + (-9373)/(-63) a prime number? True Let l(f) be the first derivative of -f**4/4 - 7*f**3/3 - 5*f + 3. Let h be l(-7). Is 1 + 22 - 10/h a composite number? True Let m(l) = 17*l**2 - 6*l + 34. Is m(-9) a prime number? False Let j = -22 + 134. Suppose 3*z + b - j = 0, -3*z - 2*z - b = -186. Is z prime? True Is 26/(-195) - (-7774)/30 prime? False Suppose -10 = -4*c + 34. Is c composite? False Let o = 4 + -5. Let t be -1 + o + 3 - 30. Let i = 6 - t. Is i composite? True Let o be 2/6 - (-13)/(-3). Let d(b) = 3*b**2 + 4*b + 5. Is d(o) a composite number? False Suppose 0*h - 357 = -3*h. Is h prime? False Suppose -2*m + 102 = m. Suppose -m = -2*o + 2*x, -3*x = -2*o - 2*x + 36. Is o a prime number? True Suppose 23 = 3*l - 5*u, -3*l = -5*l - 5*u - 18. Is 47 + (-3)/3 + l a prime number? True Let h be -34*((-47)/2 - 0). Suppose 2*k - 195 = h. Is k composite? True Let s(q) = 83*q - 1. Is s(6) a prime number? False Let w = 16 + 31. Let n = w - 24. Is n a prime number? True Suppose -2*v = -b - 0*v + 5, b - 5*v - 17 = 0. Let u = -11 + 10. Is b - ((-89 - 2) + u) a composite number? False Let l = 311 - 88. Is l a composite number? False Suppose -99 = l - 4*l. Is ((-2134)/l)/((-2)/3) composite? False Let v(c) = -2*c**3 - 6*c**2 - 5*c + 1. Let q be -1*(-3)/(-3)*9. Let s = 5 + q. Is v(s) composite? False Suppose 12 = -5*r - 43. Let t = r + 15. Suppose -3*z + 145 = 2*k - 0, 0 = -4*k - t. Is z prime? False Suppose k - 4*a - 399 = 290, 0 = 5*k + 5*a - 3345. Is k a prime number? True Let r(z) = -12*z**3 + 2*z - 1. Is r(-2) prime? False Suppose 0 = -t + 2*t - 97. Is t a prime number? True Let o(x) = -5*x + 1 + 23*x + 6*x. Let z be (-3)/(-2)*(-10)/(-3). Is o(z) prime? False Let b be -5*2 - 1*-2. Is 1/(-2) + (-412)/b a prime number? False Suppose -2*c = -c - 479. Is c composite? False Let u = -140 - -351. Is u composite? False Let d(h) = 14*h. Let l be d(1). Is ((-12)/l)/((-2)/14) prime? False Suppose 9 = 2*n - 1. Suppose -5*l = n*v - 70, 2*v = -3*l - 28 + 69. Is l a prime number? True Let v(c) = 9*c**3 + 4*c**2 - 3*c + 13. Let r(i) = -17*i**3 - 8*i**2 + 6*i - 25. Let z(o) = -6*r(o) - 11*v(o). Is z(3) composite? True Is (-24)/(-16)*(-1916)/(-6) a composite number? False Let t = 316 + -64. Suppose -5*g = -3*k + t, g + 3 + 0 = 0. Is k a composite number? False Suppose -5*v - 25 = 0, -v = 3*g - 104 - 65. Is g a composite number? True Suppose 0 = -5*p + 2*t + 5, -5*t = -2*p - 13 - 6. Let h(i) = 4*i**3 - i**2 - i - 7. Is h(p) prime? True Let f be (-6)/3 - (13 + 0). Is 6/(-15) - 1011/f a composite number? False Let t(m) = -3*m. Let i be t(-2). Let s be (40/i)/((-2)/12). Is 1/(-1)*(s - 3) a composite number? False Let b be 4/22 - (-60)/33. Is (b - -5)/((-2)/(-10)) a prime number? False Suppose 0 = 4*k - 7 - 5. Suppose k*p = 5*l - 817, 20 = -p - 4*p. Is l a composite number? True Suppose 9 = 4*z + 3*t, 2*z - 3*t + 7*t + 8 = 0. Let a be (1 - 1) + (8 - z). Suppose -442 = -a*i - 10*n + 5*n, 4*i = n + 840. Is i prime? True Let r = -43 + 174. Is r prime? True Suppose -i = 2*i + 5*h - 25, -h - 23 = -5*i. Suppose q - 26 = -5*m - 0*q, -i*m = -q - 24. Is m/(21/9 + -2) composite? True Let l(x) be the first derivative of 3*x**5/20 + x**3/6 - x**2/2 - 1. Let v(g) be the second derivative of l(g). Is v(1) a composite number? True Let t(g) be the third derivative of -g**6/120 + g**5/60 + g**4/3 + 7*g**3/6 - g**2. Is t(-6) composite? False Let k = -4 - -14. Suppose -4*n - 3*h = -5*n - k, -5*n = -4*h + 28. Let p = -2 - n. Is p prime? True Suppose -6*f + 30425 = -4189. Is (f/(-27))/((-2)/6) composite? False Let x = 966 - 32. Let g = -502 + x. Let w = g + -305. Is w composite? False Suppose 4*z = z - 5*q - 28, -5*z - 4*q - 38 = 0. Let d(n) = -n**2 - 5*n + 7. Let f be d(z). Is (0 + -19)*-1*f prime? True Suppose -21 = -w - 2*h + 371, 0 = -w + 2*h + 388. Suppose -3*d + w = 3*g, -11 = -3*g + 5*d + 355. Is g a prime number? True Let i(u) be the third derivative of u**4/24 + 11*u**3/6 - 3*u**2. Let b be i(-9). Suppose 10 = b*j - 28. Is j prime? True Let u = 3 + 3. Suppose y - 4*f - u = 0, 2*f - 5*f = 3. Suppose y - 14 = -2*m. Is m a prime number? False Let k be (-16)/(-12)*(-3)/2. Let x be 269 + (k - -1)*1. Suppose 0*o = 4*o - x. Is o composite? False Suppose -5*d = 4*j - 67, 3*d + d = -2*j + 56. Suppose d = -2*q + 7*q. Is (-1)/q*(-2 + -151) a prime number? False Let v(g) be the first derivative of g**3/3 - g**2 + 5*g - 7. Is v(-6) a prime number? True Let y = -1 - 2. Let c(p) be the first derivative of 2*p**3 + p**2 + p + 3. Is c(y) a prime number? False Let i be 4/(-20) - 2/(-10). Is 7 - (-1 + -1) - i prime? False Suppose -2*r = 1 - 13. Let z(q) = 6*q**2 - 6*q. Let s(v) = v**3 - 1. Let b(p) = s(p) - z(p). Is b(r) a composite number? True Suppose c = -0*c + 3. Suppose 0 = 2*m - c*m + 409. Is m a composite number? False Is (-15)/10*(-764)/6 prime? True Suppose -u - 4 = 2*m, -15 = -3*u - 2*m + 5*m. Suppose 93 + 41 = u*n. Is n composite? False Let u be 10*(3 + (-22)/(-4)). Let m = 193 + u. Is m a composite number? True Suppose v + 1298 = 2*m - v, 2*v + 3257 = 5*m. Is m prime? True Suppose 0 = 3*u - g - 1193, u - 407 = -0*g - 2*g. Suppose 0 = -3*f - 0*f + u. Is f a composite number? True Is (-6 - -4)/((-2)/391) prime? False Let r be (6/(-5))/(7/70). Is (r/(-30))/((-2)/(-10)) prime? True Let g(w) = w + 1. Let z be g(0). Let x(u) = 19*u + 1. Let c be x(z). Suppose -k = k - c. Is k composite? True Let q = 364 + -96. Let j be 9*(-1)/3*-1. Suppose j*l = 7*l - q. Is l composite? False Let t be 3/2 - 332/(-8). Let m(u) = u**2 - 4*u + 3. Let z be m(7). Let o = t - z. Is o a prime number? True Suppose -b = 2*v + 2919, -v - 4*b - 5844 = 3*v. Let f = 2843 + v. Is f a composite number? True Let c be (44 + 3)*(-2)/1. Let m = -25 - c. Suppose -12 = 3*d - m. Is d composite? False Let y be 2/3 + (-234)/27. Suppose -31 = -2*u + 7. Let z = u + y. Is z a prime number? True Suppose -2*y + 3*u - 134 = 0, 0 = y - 6*y - 2*u - 316. Let f = -45 - y. Is f prime? True Let z(w) = 5*w + 2. Let m be z(5). Suppose -b - 2*y - 19 = 0, -3*b + 8*b - 3*y + 82 = 0. Let h = b + m. Is h prime? False Let g(m) = m**2 + 5*m + 8. Let n = -12 + 5. Is g(n) a composite number? True Let c(r) = -r**3 + 6*r - 5. Let t(u) = -3*u**3 + u**2 + 18*u - 14. Let f(y) = 17*c(y) - 6*t(y). Is f(7) a prime number? False Let d be -6 - 0 - (-3 - -1). Let y(u) = u**3 + 11*u**2 + 4*u - 5. Is y(d) composite? Tru
{ "pile_set_name": "DM Mathematics" }
5, 30347 What are the prime factors of 332317? 332317 List the prime factors of 11156. 2, 2789 List the prime factors of 6929739. 3, 23, 11159 List the prime factors of 399434. 2, 7, 103, 277 What are the prime factors of 12291500? 2, 5, 13, 31, 61 List the prime factors of 17418961. 7, 83, 4283 What are the prime factors of 66967? 167, 401 List the prime factors of 4856723. 19, 255617 List the prime factors of 21989026. 2, 37, 163, 1823 List the prime factors of 245701. 17, 97, 149 What are the prime factors of 26313? 3, 7, 179 What are the prime factors of 12412183? 7, 31, 47, 1217 List the prime factors of 209654. 2, 104827 List the prime factors of 418322. 2, 37, 5653 List the prime factors of 870873. 3, 107, 2713 What are the prime factors of 11321473? 17, 19, 35051 List the prime factors of 546011. 61, 8951 What are the prime factors of 1122572? 2, 11, 31, 823 What are the prime factors of 1001482? 2, 500741 List the prime factors of 1925350. 2, 5, 7, 5501 What are the prime factors of 4548797? 11, 413527 List the prime factors of 1587526. 2, 19, 41777 What are the prime factors of 24024760? 2, 5, 29, 139, 149 What are the prime factors of 1216472? 2, 73, 2083 List the prime factors of 7608647. 1153, 6599 What are the prime factors of 687940? 2, 5, 11, 53, 59 What are the prime factors of 333072? 2, 3, 257 List the prime factors of 18486782. 2, 61, 151531 List the prime factors of 80826. 2, 3, 19, 709 What are the prime factors of 6151396? 2, 23, 66863 List the prime factors of 139997. 11, 13, 89 What are the prime factors of 929930? 2, 5, 92993 What are the prime factors of 694454? 2, 347227 List the prime factors of 575525. 5, 23021 List the prime factors of 3615582. 2, 3, 602597 What are the prime factors of 1289884? 2, 67, 4813 List the prime factors of 23400484. 2, 5850121 List the prime factors of 4617005. 5, 257, 3593 List the prime factors of 1586261. 673, 2357 What are the prime factors of 57277? 11, 41, 127 What are the prime factors of 116700? 2, 3, 5, 389 List the prime factors of 204400. 2, 5, 7, 73 List the prime factors of 2397425. 5, 17, 5641 List the prime factors of 742429. 29, 25601 List the prime factors of 5931359. 7, 37, 22901 What are the prime factors of 722695? 5, 144539 List the prime factors of 218252. 2, 54563 List the prime factors of 7856423. 31, 253433 What are the prime factors of 69227? 37, 1871 What are the prime factors of 588863? 11, 17, 47, 67 List the prime factors of 2997245. 5, 23, 67, 389 List the prime factors of 24330684. 2, 3, 7, 163, 1777 What are the prime factors of 14420861? 7, 13, 37, 4283 List the prime factors of 54319. 54319 What are the prime factors of 455554? 2, 11, 20707 List the prime factors of 383750. 2, 5, 307 List the prime factors of 35928209. 35928209 What are the prime factors of 20701? 127, 163 What are the prime factors of 162454? 2, 43, 1889 What are the prime factors of 644185? 5, 128837 List the prime factors of 4175987. 1637, 2551 What are the prime factors of 1902194? 2, 7, 83, 1637 What are the prime factors of 213471? 3, 23719 List the prime factors of 124162. 2, 62081 List the prime factors of 3469549. 3469549 What are the prime factors of 30985850? 2, 5, 7, 223, 397 List the prime factors of 591039. 3, 17, 3863 List the prime factors of 1181097. 3, 19, 6907 What are the prime factors of 5381042? 2, 31, 229, 379 What are the prime factors of 2630429? 2630429 What are the prime factors of 37284245? 5, 2017, 3697 What are the prime factors of 21188138? 2, 197, 53777 What are the prime factors of 1798497? 3, 59, 1129 What are the prime factors of 1546905? 3, 5, 281, 367 List the prime factors of 922004. 2, 230501 List the prime factors of 87963. 3, 109, 269 List the prime factors of 632488. 2, 173, 457 What are the prime factors of 700238? 2, 7, 11, 4547 What are the prime factors of 50385? 3, 5, 3359 What are the prime factors of 574155? 3, 5, 4253 What are the prime factors of 16283519? 7, 41, 56737 List the prime factors of 14239. 29, 491 What are the prime factors of 1175179? 31, 167, 227 What are the prime factors of 2354989? 7, 13, 3697 What are the prime factors of 662822? 2, 181, 1831 What are the prime factors of 1204933? 61, 19753 List the prime factors of 50943. 3, 16981 What are the prime factors of 1313677? 1313677 List the prime factors of 1656498. 2, 3, 276083 List the prime factors of 16548993. 3, 353, 5209 What are the prime factors of 166804? 2, 11, 17, 223 List the prime factors of 12708943. 13, 977611 List the prime factors of 204420. 2, 3, 5, 3407 What are the prime factors of 2528404? 2, 632101 List the prime factors of 8738425. 5, 17, 29, 709 List the prime factors of 11998929. 3, 71, 56333 What are the prime factors of 8178378? 2, 3, 13, 104851 List the prime factors of 720839. 7, 47, 313 What are the prime factors of 1368667? 37, 71, 521 What are the prime factors of 86838? 2, 3, 41, 353 List the prime factors of 7352793. 3, 7, 16673 What are the prime factors of 12948715? 5, 13, 199211 What are the prime factors of 125037? 3, 11, 421 List the prime factors of 4635761. 13, 191, 1867 List the prime factors of 2639434. 2, 7, 23, 1171 List the prime factors of 27314149. 1619, 16871 List the prime factors of 5576261. 5576261 What are the prime factors of 262596? 2, 3, 79, 277 What are the prime factors of 23574049? 23574049 List the prime factors of 655434. 2, 3, 13, 2801 What are the prime factors of 837427? 193, 4339 List the prime factors of 3545521. 7, 691, 733 What are the prime factors of 5044589? 11, 458599 List the prime factors of 1417106. 2, 233, 3041 List the prime factors of 1972534. 2, 986267 What are the prime factors of 1773501? 3, 139, 4253 List the prime factors of 132141. 3, 17, 2591 List the prime factors of 180192. 2, 3, 1877 List the prime factors of 678147. 3, 17, 13297 What are the prime factors of 8285806? 2, 4142903 List the prime factors of 219118. 2, 89, 1231 What are the prime factors of 5339500? 2, 5, 59, 181 List the prime factors of 107772. 2, 3, 7, 1283 List the prime factors of 5412269. 5412269 What are the prime factors of 325272? 2, 3, 13553 What are the prime factors of 1487905? 5, 297581 List the prime factors of 354290. 2, 5, 71, 499 List the prime factors of 316504. 2, 39563 List the prime factors of 200160. 2, 3, 5, 139 What are the prime factors of 16679786? 2, 43, 193951 List the prime factors of 45607. 59, 773 List the prime factors of 948290. 2, 5, 7, 19, 23, 31 What are the prime factors of 17527926? 2, 3, 13, 224717 List the prime factors of 523635. 3, 5, 7, 4987 What are the prime factors of 37391145? 3, 5, 11, 19, 11927 What are the prime factors of 5335406? 2, 83, 32141 List the prime factors of 2318653. 23, 100811 What are the prime factors of 2686480? 2, 5, 33581 What are the prime factors of 38923? 38923 List the prime factors of 413293. 413293 What are the prime factors of 2636806? 2, 317, 4159 List the prime factors of 236874. 2, 3, 11, 37, 97 What are the prime factors of 631013? 631013 List the prime factors of 2531029. 1481, 1709 List the prime factors of 1013640. 2, 3, 5, 8447 What are the prime factors of 1293815? 5, 258763 List the prime factors of 737981. 737981 List the prime factors of 8453894. 2, 1801, 2347 What are the prime factors of 26788649? 229, 116981 List the prime factors of 476687. 31, 15377 What are the prime factors of 864687? 3, 43, 6703 What are the prime factors of 717455? 5, 43, 47, 71 What are the prime factors of 2200435? 5, 440087 What are the prime factors of 777241? 777241 What are the prime factors of 17381360? 2, 5, 167, 1301 List the prime factors of 7834777. 229, 34213 What are the prime factors of 3162896? 2, 11, 17971 List the prime factors of 4168557. 3, 61, 2531 List the prime factors of 555165. 3, 5, 13, 73 List the prime factors of 9708438. 2, 3, 23, 70351 List the prime factors of 21757395. 3, 5, 11, 29, 4547 What are the prime factors of 1158664? 2, 13, 857 List the prime factors of 4514357. 4514357 What are the prime factors of 4737575? 5, 31, 6113 What are the prime factors of 15985802? 2, 7, 19, 3163 List the prime factors of 13751217. 3, 23, 66431 List the prime factors of 337400. 2, 5, 7, 241 List the prime factors of 1639134. 2, 3, 7, 13009
{ "pile_set_name": "DM Mathematics" }
18229100 rounded to the nearest 1000000? 118000000 Round -250782.47 to the nearest one hundred. -250800 Round 75596.74 to the nearest one hundred. 75600 Round -0.00010539672 to 6 dps. -0.000105 Round 0.00000855645 to 7 decimal places. 0.0000086 What is 14640.1 rounded to the nearest 100? 14600 What is -0.0000001937915 rounded to 7 dps? -0.0000002 Round 0.3039786 to 3 decimal places. 0.304 What is 6929745 rounded to the nearest one million? 7000000 Round -0.00945643 to 5 decimal places. -0.00946 What is 83647 rounded to the nearest 100? 83600 Round -2702 to the nearest 1000. -3000 Round -166447000 to the nearest one hundred thousand. -166400000 What is 79996.6 rounded to the nearest 100? 80000 Round -99514.7 to the nearest 10000. -100000 Round -71768.62 to the nearest one thousand. -72000 Round -0.00002017821 to 7 dps. -0.0000202 What is 0.000024620976 rounded to 7 dps? 0.0000246 What is -924132.6 rounded to the nearest one hundred? -924100 What is -1714120 rounded to the nearest one hundred thousand? -1700000 What is 0.0002041275 rounded to five decimal places? 0.0002 What is -0.08604464 rounded to two decimal places? -0.09 What is -8225600 rounded to the nearest one hundred thousand? -8200000 Round -0.00000171138 to six dps. -0.000002 Round -875958000 to the nearest one million. -876000000 What is -3252046000 rounded to the nearest one million? -3252000000 What is 0.00763512 rounded to five dps? 0.00764 Round -0.000126874769 to 5 dps. -0.00013 What is 0.1782695 rounded to 3 decimal places? 0.178 What is -0.0112644 rounded to 3 dps? -0.011 What is -475.95 rounded to the nearest integer? -476 What is 0.0002400148 rounded to 4 decimal places? 0.0002 What is -0.03660732 rounded to three dps? -0.037 What is 1082398 rounded to the nearest one thousand? 1082000 Round 426263.97 to the nearest ten thousand. 430000 What is -200511.7 rounded to the nearest 1000? -201000 Round 5.73417 to zero decimal places. 6 What is 0.5270358 rounded to three decimal places? 0.527 What is -8960.9 rounded to the nearest 1000? -9000 Round -207.09341 to the nearest ten. -210 Round 1371400 to the nearest ten thousand. 1370000 What is 0.783384 rounded to 3 dps? 0.783 What is 117622500 rounded to the nearest one million? 118000000 Round -165.4083 to the nearest ten. -170 Round 26335300 to the nearest 100000. 26300000 What is -523.4567 rounded to one dp? -523.5 Round 29401310 to the nearest one hundred thousand. 29400000 What is 1924.5614 rounded to the nearest 100? 1900 Round -5503.83 to the nearest 1000. -6000 What is 0.15999 rounded to 2 decimal places? 0.16 Round -0.1248106 to 1 decimal place. -0.1 What is -353230 rounded to the nearest one hundred thousand? -400000 Round 7489570 to the nearest one hundred thousand. 7500000 Round -0.0416722 to three dps. -0.042 What is -0.000011145647 rounded to 6 dps? -0.000011 What is -1.00168 rounded to the nearest integer? -1 Round -156.0393 to the nearest 10. -160 What is -457.461 rounded to the nearest one hundred? -500 What is -0.00011301 rounded to six dps? -0.000113 Round -0.000003151992 to six decimal places. -0.000003 Round 69551.1 to the nearest ten thousand. 70000 What is -0.1930874 rounded to 3 dps? -0.193 What is -1.764487 rounded to 1 decimal place? -1.8 Round 0.002093611 to 4 dps. 0.0021 Round -0.000014023172 to 6 dps. -0.000014 Round 0.0055296457 to 6 decimal places. 0.00553 Round 0.0002283589 to 6 dps. 0.000228 Round 52.047 to the nearest 10. 50 Round 8.118599 to two decimal places. 8.12 Round 0.05618325 to four dps. 0.0562 Round -2994267.1 to the nearest one hundred thousand. -3000000 Round -7152.886 to the nearest 1000. -7000 What is -80.51041 rounded to the nearest integer? -81 Round 0.03461248 to three dps. 0.035 Round -163168.59 to the nearest 100. -163200 What is -189589900 rounded to the nearest one million? -190000000 Round -0.047174214 to 3 decimal places. -0.047 Round 499077 to the nearest ten thousand. 500000 What is -0.0206413 rounded to three decimal places? -0.021 What is -421.848 rounded to 0 dps? -422 Round -12014.08 to the nearest one thousand. -12000 Round 0.0013880238 to six dps. 0.001388 What is -0.00001728381 rounded to seven decimal places? -0.0000173 Round -0.000423909 to 6 decimal places. -0.000424 What is -53511580 rounded to the nearest one million? -54000000 Round 0.0000000599476 to 7 decimal places. 0.0000001 Round -0.0000015111307 to seven decimal places. -0.0000015 What is -3066.151 rounded to the nearest 100? -3100 Round -0.00001411705 to 7 decimal places. -0.0000141 What is 0.258369 rounded to 3 dps? 0.258 What is 0.00011778364 rounded to 7 decimal places? 0.0001178 What is -1783.575 rounded to the nearest one hundred? -1800 Round -0.000000139526 to 7 decimal places. -0.0000001 Round 11552.7 to the nearest 1000. 12000 What is -0.00000988444 rounded to 6 dps? -0.00001 What is -0.024376898 rounded to four decimal places? -0.0244 What is 217.42321 rounded to the nearest ten? 220 Round 0.000066745 to seven dps. 0.0000667 Round 200099800 to the nearest one million. 200000000 What is -1526.6307 rounded to the nearest integer? -1527 Round -5097620 to the nearest 1000000. -5000000 What is -8900160 rounded to the nearest 1000000? -9000000 Round 37.581 to the nearest integer. 38 Round 1.854028 to 2 dps. 1.85 What is 0.0000149309 rounded to 7 dps? 0.0000149 What is -2873207000 rounded to the nearest one million? -2873000000 Round -0.00008527451 to 6 dps. -0.000085 What is -1.1796695 rounded to 1 decimal place? -1.2 Round -351000 to the nearest 100000. -400000 Round -0.000008245025 to 6 decimal places. -0.000008 Round -168486400 to the nearest 1000000. -168000000 What is 2.8516361 rounded to the nearest integer? 3 What is -0.136697 rounded to 2 dps? -0.14 Round 63350.4 to the nearest one hundred. 63400 What is -0.506363 rounded to three decimal places? -0.506 Round 22655530 to the nearest ten thousand. 22660000 Round -27622.5 to the nearest ten thousand. -30000 Round 4139360 to the nearest one hundred thousand. 4100000 Round -0.00000737343 to six dps. -0.000007 What is -386.947 rounded to the nearest integer? -387 Round 0.00165229 to 5 decimal places. 0.00165 Round 0.0384191 to four decimal places. 0.0384 What is -0.000166034 rounded to 5 decimal places? -0.00017 Round -3114.265 to zero dps. -3114 What is -12.72052 rounded to 1 dp? -12.7 Round -0.000000436126 to 7 dps. -0.0000004 Round 798414320 to the nearest 1000000. 798000000 Round 4.3790904 to 1 decimal place. 4.4 Round 0.008404992 to 5 decimal places. 0.0084 Round 6038300 to the nearest 100000. 6000000 Round -0.00001743025 to six decimal places. -0.000017 Round -0.00004819925 to six decimal places. -0.000048 What is -0.004161423 rounded to 4 dps? -0.0042 What is 0.059917 rounded to two decimal places? 0.06 Round -91987 to the nearest 1000. -92000 Round 32342.5 to the nearest 100. 32300 Round -669.3972 to the nearest one hundred. -700 What is 0.00000627251 rounded to 7 decimal places? 0.0000063 What is 204223000 rounded to the nearest one million? 204000000 What is 0.00000361053 rounded to 7 dps? 0.0000036 What is 1.611494 rounded to 3 decimal places? 1.611 Round -5072712 to the nearest 1000000. -5000000 What is -4364.9 rounded to the nearest ten thousand? 0 What is -994301000 rounded to the nearest one million? -994000000 What is -2168836 rounded to the nearest one thousand? -2169000 What is -5490.86 rounded to the nearest ten? -5490 Round -3324850 to the nearest one hundred thousand. -3300000 Round -266.8333 to the nearest integer. -267 Round -0.000020971251 to seven dps. -0.000021 What is -0.06804039 rounded to 2 dps? -0.07 What is 0.00354415 rounded to four decimal places? 0.0035 What is -216840 rounded to the nearest 10000? -220000 What is 73482.8 rounded to the nearest 1000? 73000 What is 2266.6534 rounded to 0 decimal places? 2267 Round -14762.1 to the nearest 100. -14800 Round -11.78843 to one decimal place. -11.8 Round -581165.9 to the nearest 100000. -600000 Round -0.0000142555 to 7 decimal places. -0.0000143 Round 0.06261282 to 2 decimal places. 0.06 What is 0.000001887582 rounded to 6 dps? 0.000002 What is 0.0000352904 rounded to 7 decimal places? 0.0000353 Round -24973.247 to the nearest one hundred. -25000 Round -9371.4 to the
{ "pile_set_name": "DM Mathematics" }
se 3*a + 3*y = -6, 5*y + 40 = 5*a - 0*y. Solve 6 = 2*h + 3*v, 0 = h - 0*v + 2*v - a for h. 3 Let l = -18 + 22. Solve 4*n - 6 = 3*h + 8, -4*h - 12 = -l*n for h. 2 Suppose 0 = 3*z - 0*z. Suppose l = 3*v + 4*l - 9, z = -2*v + 4*l + 12. Suppose -v*p = -16 - 0. Solve 0 = -3*h + 5*a - 19, 17 = -4*h + a + p*a for h. 2 Let t = 27 - 23. Solve -4*f - 3 = 5*v, 7*f - 2*f + t*v = 3 for f. 3 Let w(s) = s**3 + 2*s**2 - s + 2. Let q be w(-2). Let u = -1 + 8. Suppose u*j = 10*j - 12. Solve -21 = -j*d + a, 3*a - 1 + q = 0 for d. 5 Suppose -r = -q + 3 - 1, q - 2*r = -1. Suppose 0 = -0*k + q*k - 20. Solve i - u = -10 + 3, i + 16 = k*u for i. -4 Let l be 17/(459/114) - 2/9. Solve -2 = -2*o - 4*z - 0*z, o - 1 = l*z for o. 1 Suppose 0 = -0*o - 2*o + 4. Solve 4*p - 6 = o*b - 0*p, -b + 15 = 4*p for b. 3 Let i(h) be the first derivative of h**3/3 - 7*h**2/2 - 5*h + 6. Let d be i(8). Solve 5*k + d*u = k - 10, 5*u = 5*k - 5 for k. -1 Suppose -2*g - 96 = 4*g. Let v = 20 + g. Solve -v*a + 3*k = -3*a + 5, 4*a + 5 = -3*k for a. -2 Let l = -4 + 4. Let n = -12 + 18. Let r = n + -2. Solve l = -3*t - 4*u - u - 32, -32 = r*t + 4*u for t. -4 Suppose -23 = -3*t - 4*l, -4*l + 5*l - 22 = -4*t. Solve -4*j - 4 = 2*y, -j - 6 = -t*y + 17 for y. 4 Suppose -2*m - 1 = 1. Let z be 0/1*(m + 0). Suppose -22*v = -24*v + 4*r + 10, 3*r + 3 = v. Solve v = 3*g - x, -5*x + 27 = -z*g + 3*g for g. 4 Suppose -30 = -4*g + 66. Suppose f = -4*r + 5*f + g, -f = -4*r + 21. Solve 5*t + 1 + 3 = 2*v, r*v + 2*t - 10 = 0 for v. 2 Let m = -2 + 4. Suppose -q = -6 + m. Let z be (-9)/(-2) + (-2)/q. Solve z*d = -d - l + 20, 2*d = -l + 8 for d. 4 Suppose 0*p + 6*p = 12. Solve p*x = -5*j - 2*x - 32, 0 = 5*j - 3*x + 11 for j. -4 Let s be (6/(-21))/((-2)/28). Solve 0 = -n - u - u - 9, 0 = s*n - 5*u + 10 for n. -5 Let r = -74 - -78. Solve -12 = 2*j - r*i, 0*j + 4*i = -j for j. -4 Suppose -l + 5*t + 2 = -6, -4*t = 2*l + 12. Let c be (3/2)/(l/(-4)). Suppose 8 = 4*p + 3*m, -2*p - c*m + 0 = -4. Solve 2 = 4*d - 4*k - p, 4*d + 6 = 2*k for d. -4 Let b be (-2)/(-8) + (-161)/(-28). Solve -3*i = 3*f - b, -i - 5*f + 6 = -0*i for i. 1 Let t = -11 + 14. Suppose -t*g + 3 = -3*s, 38 - 2 = 4*s + 4*g. Solve u = s*u, 5*u = q - 2 for q. 2 Let s = 22 - 22. Solve 0 = 3*a + 12, d + s - 1 = a for d. -3 Let g(r) be the second derivative of r**3/6 - r**2 - 3*r. Let b be g(7). Solve i = -b*c + 30, 4*i = -2*c - 2*c + 40 for c. 5 Suppose -36 = -u - 2*u. Suppose -3*j + 3*c + 3 = 0, -j - 2*c = -5*j + u. Solve 3*q = -3*h + 9, -4*h = -3*q - 0*h - j for q. 1 Let b be (-39)/(-9) - (-1)/(-3). Let m(g) = 7*g**2 - g. Let t be m(-1). Solve -4*k - b*q - 16 = -t*q, -5*k - 18 = -4*q for k. -2 Suppose -7*r + 5*r + 8 = 0. Let o = -2 - -6. Solve -l - o*s = 2*l + 28, r*s - 4 = 5*l for l. -4 Suppose 6 = -4*g + 22. Let t be (42 - 0)/3 - 2. Solve -2*l - g = -4*s + 6, -3*s = 3*l - t for s. 3 Let h(d) be the third derivative of d**5/60 + d**4/12 - d**3/6 + 3*d**2. Let b be h(-3). Solve -5*o = p + 2, p + 0 = -4*o - b for p. -2 Let k = 21 + -19. Solve x - 1 = -y, -y - 3 = -k*x - 13 for y. 4 Suppose r + 1 = -3*m, 4*m = r - 3*r + 2. Solve -3*v = 2*s + 21, -5*v - r = -s + 17 for v. -5 Suppose -r + 12*r = 154. Solve 19 = -x + 7*m - 3*m, -3*m = -x - r for x. 1 Let a(w) = w**3 - 7*w**2 + 2*w - 9. Let i be a(7). Suppose 0*y - i*y = -5*k - 10, -y - 6 = -5*k. Solve -v - 3 = 5*h + 3, 3*v + 5 = -k*h for h. -1 Suppose f + 2*y - 18 = -f, 41 = 4*f + 5*y. Suppose -m - 3 = -3*m - 3*a, 0 = -f*a - 4. Solve 0 = 3*g + 2*l + m*l + 40, -3*g = -3*l for g. -5 Suppose -17 = -2*k + 11. Solve -k = -2*h + 4*h - 2*r, 3*h - 2*r + 16 = 0 for h. -2 Let k(l) = -l**2 - 5*l - 1. Let x be k(-4). Suppose -x*n + 12 = p - 0*p, 5*p = -3*n. Solve 3 = -y - 2*m, n*y + 3 = -0*y + 2*m for y. -1 Let r be (-4)/(8/5 - 2). Solve -m - r = 5*l - 6*m, m = -2*l - 1 for l. -1 Suppose -3*a + 12 = -0*a. Suppose a*u - 2*u - 10 = 0. Solve 0 = u*b - 3*b + 6, 2*r = 4*b + 16 for r. 2 Suppose -6*a + 4 = -4*a. Suppose 5*l - 4*z = -13, 4*z - 7 + a = -3*l. Let y be -13*(l - (-1 - -1)). Solve 9*g - 4*g + u + 22 = 0, 4*u = -5*g - y for g. -5 Let r(j) = j**2 - 2*j + 1. Let p be r(6). Suppose 0 = 2*b + 3*b - p. Solve -b + 1 = -4*l + 4*w, -2*w + 6 = 0 for l. 4 Let b = 13 - 10. Solve -k - 4*z = 10, -3*k - 2*k - 16 = b*z for k. -2 Let b(d) = d - 1. Let a be b(6). Suppose x - 8 = a. Solve 3*s - x = 2*w, -2*s + 2*w + 23 = 3*s for s. 5 Let c(k) = 3*k - 6. Let p(j) = -2*j - 6. Let b be p(-5). Let d be c(b). Solve -2*y + d*y - 2*q - 2 = 0, 3*y = 5*q - 16 for y. 3 Suppose -5*p = -2*p. Solve 2*o + 2 = p, -3*g - 8 = -o + 3 for g. -4 Let n = 27 + -27. Solve 2*u = -o + u + 10, n = -4*u + 20 for o. 5 Suppose 5*s = s + 8, -3 = -f + s. Let h = 5 - f. Suppose h = -y - 2*y + 9. Solve -y*c = -2*v + 7, 9 + 16 = -5*c for v. -4 Let d = 21 - 29. Let b = 8 + d. Solve 0 = 4*m - 20, -2*v - 3*m + 1 + 6 = b for v. -4 Let v be 3 + 3 - (5 + -1). Solve v*p + 15 + 10 = 5*b, p - 5 = -b for p. 0 Suppose 8 = -r + 2*r. Suppose 4*q = -w - 12, 4*w - 3*q - 4 = 43. Let l(b) = -b**2 + 8*b + 2. Let v be l(w). Solve 0 = p - 3, f + 0*p = v*p - r for f. -2 Let v be (2/4)/((-1)/4). Let u be v*2*35/(-28). Suppose -u*s = -3 - 12. Solve -5*h + 0*h + 10 = 0, 0 = -5*d - s*h + 21 for d. 3 Let r = -8 + 14. Suppose 0 = 2*t - 5*t - r. Let v be (-11 - -1)*1/t. Solve v = -w, b = 4*w - 3*w for b. -5 Suppose -3 = -0*i - i. Let n be (-16)/(0 - (1 + 1)). Let g be (-2)/n + 21/4. Solve g*l - 2*b - 31 = 0, -5*b = 4*l - 8 + i for l. 5 Suppose -7*c + 11*c - 8 = 0. Solve 3*z - z - 10 = c*j, 4*z - 16 = 2*j for j. -2 Suppose 0 = -4*n + 2*j + 5 + 31, 30 = 4*n - 5*j. Suppose -5*f = -n - 5. Solve -s = 3*x - 14, f*s = 4*x - 23 - 0 for x. 5 Let t(w) = 2*w**3 - 4*w**2 + 3*w - 1. Let x be t(2). Solve -m + x = -4*p, 5*m = 4*p - p + 25 for p. 0 Let w(u) = u + 1. Let j be w(6). Solve 2*x + 3*h = -1, 5*x + h + 3 = j for x. 1 Let z be -4 - 3/((-12)/16). Solve 2*k + 3*g - 6 - 4 = 0, z = k + 4*g - 15 for k. -1 Let g = 5 + -2. Let n(k) = -k**3 + 8*k**2 + k - 6. Let h be n(8). Solve -h*x - 3*x = -g*l - 8, 8 = -l + 3*x for l. 4 Let h = 5 + 5. Solve -z = 3*p - p, -p + 2*z + h = 0 for p. 2 Suppose d + 0 - 4 = 0. Let y be (124/(-12))/(1/(-3)). Solve -5*p + 3*o - y = 7*o, 0 = -d*o - 16 for p. -3 Suppose -2*x + 100 = 3*x. Let m be 2/5 - (-12)/x. Let y be (-2*m)/(2/(-4)). Solve 2*p = -4*l + 2, -3*l - y = -4*p + l for p. 1 Suppose -3*n + 18 = 6*n. Solve 5*o = -0*o - 5*s - 5, 10 = n*o - 4*s for o. 1 Let q be (-1)/1 - -15*9/27. Solve o + 2*p - q = 5*p, -4*o + 4*p + 8 = 0 for o. 1 Let g(x) be the third derivative of -x**6/120 - x**5/10 + x**4/3 + 7*x**3/6 + 2*x**2. Let m be g(-7). Solve 0 = -3*q + 3*r - m - 12, 0 = q - 2*r + 6 for q. -2 Let z = -11 + 15. Solve -5*w + 0 = -5*j + 5, -z*w - 4*j - 12 = 0 for w. -2 Suppose -8*h - 16 + 80 = 0. Solve 3 + 0 = -m, -h = -n + 3*m for n. -1 Let q = 2 - -2. Let c(p) = -p**2 + 2*p + 1. Let x be c(2). Let s be ((-11)/(-1))/x + -2. Solve 5*i - 2*i = -n - s, q*n + 20 = -4*i for n. -3 Let t = -3 - -4. Let p be ((-10)/(-6))/((-5)/(-15)). Suppose 16 - 6 = p*r. Solve -r*s - 21 = 3*s + h, t = -h for s. -4 Suppose -t - 3*b + 15 = 0, b + 2 = -2*t + 3*b. Let x(f) = 2 + 3*f - f**2 - f + 3 - 2. Let c be x(t). Solve c = -3*g - h - 7, 12 = -4*g - 4*h - 8 for g. -1 Suppose 16 = -0*u + 4*u. Let f(y) = -y**3 + 4*y**2 - 2*y + 1. Let n be f(3). Solve -4*k - 3*a = -13 - n, u*k - 5*a + 7 = 0 for k. 2 Suppose -2*y + 20 = 5*q, 0 = -4*q + y - 9 + 25. Suppose q*c = 6*c. Solve 5*l - 25 = c, -3*r + 2 = -3*l + 14 for r. 1 Suppose 4*c = -3*v - 2*v + 162, 2*v = 3*c + 74. Solve -2*p + 9 = 7*n - 4*n, 5*n = 3*p + v for p. -3 Suppose -7*h = -10*h + 6. Solve 2*b = -3*j + 7, -h*b + 2*j + 12 = -0*b for b. 5 Let o = 9 - 7. Solve 7*x = -3*l + o*x - 20, 0 = x + 4 for l. 0 Suppose d = g - 4, -26 = 5*d + 3*g + 2. Let h = 6 + d. Solve o = -2*l - 1, 4*l = 3 + h for o. -3 Let r be (3 - (-2)/(-1)) + -6. Let b = 0 - r. Solve f = 3*f - 4*d + 2, 0 = 2*f - b*d for f. -5 Let o(s) = -s**3 - 9*s**2 + 9*s - 12. Let z be o(-10). Let v be 0*z/(-2) - -6. Suppose w - 3*w = -v. Solve 2*m - m = a + 6, 2*m - 13 = w*a for m. 5 Let v = 82 - 80. Solve -3*w + 4*n + v - 11 = 0, w = 4*n - 11 for w. 1 Suppose 8*m + 2*m - 20 = 0. Solve 15 = -m*n - w, -10 = 2*w - 0 for n. -5 Let o(k) be the first derivative of 5*k**3/3 - k**2/2 - 2. Let m be o(2). Let h = m + -2.
{ "pile_set_name": "DM Mathematics" }
Let l be 1/(-2)*(u - -8). What is the closest to 1 in l, 2/5, 2/9? 2/5 Let g be 10 + 6 + -2 - (-1 - -6). Let w = -4.87 - 0.13. What is the nearest to 0 in w, 4, g? 4 Suppose 0 = -116*y + 101*y. Which is the closest to y? (a) -3 (b) -2 (c) -13 b Let f = 211 - 216. Let b be (-2)/56 - (-18)/63. Let i = -2 + 2.2. What is the nearest to b in 0.4, f, i? i Let t(l) = -l + 9 + 4*l - l + 0*l. Let o be t(-6). Suppose -3*i = -3*x + 4*x - 6, 8 = -i + 3*x. Which is the closest to i? (a) 3/2 (b) -0.1 (c) o a Let d(u) = 64*u - 1275. Let o be d(20). Let p = 0.3 - 0.1. What is the nearest to p in o, 0.4, 1? 0.4 Let i = 4413 - 4412.3. Let v = -1 + 3. Which is the closest to 1? (a) i (b) 5 (c) v a Let n(w) = w - 11. Let f be n(14). What is the nearest to 0.4 in -0.4, 0.2, f? 0.2 Let s = -11.91 + 11.81. What is the closest to s in -1, -5/3, 0.01? 0.01 Let k = -3.02 - -0.02. Which is the closest to -4/11? (a) -1/2 (b) 1/2 (c) k a Let v = -924 + 929. Let x = 3.2 + -3. What is the nearest to -2/9 in v, x, -0.4? -0.4 Let d = -47.9 + 51. Let s = d - 8.1. What is the nearest to -0.1 in -0.1, s, 0.4? -0.1 Suppose 0 = -2*w - 4*w - 138. Let v = w + 27. Which is the closest to 0.2? (a) v (b) -14 (c) 2/9 c Let g = 1622 - 1625. Let x = 2/65 - -57/260. Let m = -6.4 - -6. Which is the nearest to x? (a) m (b) g (c) 4 a Suppose 0 = d + 4*d. Let t be (-7 - 37/(-5))/((-8)/10). Which is the closest to 0.2? (a) d (b) 2/13 (c) t b Let q = -2.28 - -2.18. What is the nearest to -0.9 in q, -1/3, 4, -0.06? -1/3 Let y be ((-11)/(-22))/(-1 - -2). Let d = -2.3 - -2.35. Let r = -0.25 - d. What is the nearest to -0.2 in r, y, 3/2? r Let z = 0 + -0.3. Let l = 25.3 + -5.3. Let q = l + -19.95. Which is the nearest to -1/3? (a) q (b) 5 (c) z c Let q = 3.41 - 7.41. Let i = -3 + 3. Let g = -13.7 - -14. Which is the closest to i? (a) g (b) -0.4 (c) q a Let p = 13 + 2. Let h be (-2)/(-4) + (-10)/p. Let o = -157/3 - -53. Which is the closest to o? (a) h (b) 2/3 (c) -2 b Let y(o) = -o**3 - 7*o**2 - 5*o + 4. Let d be y(-6). Let z = -1935 - -1934. Which is the nearest to z? (a) 1 (b) d (c) 2/3 b Let p be -5 + (3/(-3) - 221/(-39)). Which is the closest to 2? (a) -0.3 (b) 4 (c) p (d) -9/13 b Let o = -0.3 - -0.8. Let x be -12 + (-56)/(-8) + (-6)/(-1). What is the nearest to x in 1, o, 1/4? 1 Let m be 107/(-714) + (-6)/(-36). Let l = -228/595 - m. Which is the closest to l? (a) -0.04 (b) -5 (c) 5/3 a Let y be (2/(-6))/((2*(-14)/24)/1). Let k be 1 + 26/(-22) - 0. Which is the nearest to 0.2? (a) k (b) y (c) 2 b Let d = -13 + 8. Let p = -2.703 - -0.003. Let v = p + 3. Which is the closest to -2/15? (a) d (b) -1 (c) v c Let r be (3/6)/(4/(-48)). Let m be (1/r)/((-4)/(-16)). Which is the closest to m? (a) -5 (b) 0 (c) -7 b Let i = 0 - -0.2. Let h = -69 + 69.028. Let d = h - -1.972. Which is the nearest to i? (a) d (b) 0.3 (c) -0.4 b Let j = -12 - -10. Let q = -72.6 - -72. What is the closest to j in 3, 2/19, q? q Let i = 13 - 9. Let p = 0.7 - 0.2. Let m = -0.6 + 0.3. Which is the nearest to 1/3? (a) p (b) m (c) i a Let v be (-8)/(-36)*1/2. Let o = 240/11 + -1178/55. What is the closest to 0 in o, -1, v? v Suppose -2*s - 14 + 12 = 0. Which is the closest to -3? (a) -0.3 (b) s (c) 0.3 b Let r = -1/250 + 503/750. What is the closest to 0.2 in 1/9, r, 5, -1? 1/9 Let k = -311/30 + 51/5. What is the closest to 0.3 in 0.1, -2/13, k, 0.3? 0.3 Let f = -80 - -79. Let b = -0.3 + 0.8. Let r = b - 0.3. What is the nearest to f in r, 3/4, 1? r Let t = 4.09 - 0.09. Let h = 73.1 + -77. Let m = h + t. Which is the nearest to -0.1? (a) m (b) -0.1 (c) 0 b Let w(u) = u**3 - 9*u**2 + 9*u - 3. Let r be w(8). Let t = 51.5 + -51. What is the nearest to -0.1 in r, -3, t? t Let h = 2 - -11. Let l = -680 + 679. What is the closest to -2/7 in 2/7, l, h? 2/7 Let z = -0.2 - -0.1. Let d = -0.21 + -10.79. Let g = -7 - d. Which is the closest to z? (a) g (b) -3/4 (c) -0.3 c Let f = 100/3 + -34. Which is the nearest to -0.08? (a) -1/4 (b) f (c) 3 a Let w be (-6)/27 - (-272)/306. Which is the nearest to w? (a) -4 (b) -3 (c) 1 (d) 0.6 d Let i be (-24)/3 - (-378)/49. What is the closest to i in -0.6, 10, 3, 4? -0.6 Suppose 2*m + 4*s = 6, 3*s + 3 = m + s. Which is the closest to m? (a) 2 (b) -3/7 (c) 0 a Let k = -3.905 - 0.095. Which is the nearest to 2? (a) k (b) -5 (c) 4 c Let h = -20 - -21.8. Let z = h - -2.1. Let x = z + -1.9. What is the closest to 0 in 3, x, 0.2? 0.2 Let s = 41/4 + -107/12. What is the closest to -1 in s, 0.2, 3? 0.2 Let s = -0.004 - -0.904. Let d = s + -0.4. Suppose 0 = 6*h - 4*h. What is the closest to h in 5/3, -3, d? d Let r = 38 - 35. Suppose 3*a + 2*a - 53 = r*i, -2*i = -a + 5. What is the nearest to -1 in 2/5, -2, a? -2 Let k = -116 - -181. Let n = k - 62. Which is the closest to 0.1? (a) n (b) -5 (c) -2 c Let o = 1.2 + -6.2. Let g = -0.55 + 0.05. Which is the nearest to 1? (a) 1/7 (b) o (c) g a Let o(j) = -2*j**3 - j**2 - 2*j - 2. Let w be o(-1). Suppose 0 = 4*p - 7 - w. Which is the nearest to -53? (a) p (b) 1 (c) -1 c Let w be 1*3*(52/(-12) + 6). Suppose -11 = -5*v - 3*d, -w*v + 6*d - 3*d = -29. Which is the nearest to 1? (a) v (b) 0.3 (c) -15 b Let n(t) = t + 8. Let v be n(-8). What is the nearest to v in -10, 4, 0.2? 0.2 Let i be 2 + (0 - (-27)/(-15)). What is the nearest to i in 0.4, -1, 1.1? 0.4 Let i = -1296 - -1293. What is the nearest to 0.1 in 4, i, 0, -12? 0 Let h(x) be the third derivative of x**6/60 + 7*x**5/20 - 11*x**4/24 - 7*x**3/6 + 21*x**2. Let t be h(-11). Which is the nearest to -2? (a) t (b) 0.3 (c) -1 c Let k be (-8)/(-28) + (52/(-24))/((-56)/(-16)). Let f be 1/(-5) + 0/2. Which is the closest to f? (a) k (b) 0.2 (c) 4 a Let p be (-66)/286 + 125/1950. Let j(t) = t**2 + 4*t - 3. Let o be j(-5). Let l be o/(-3)*1/2. What is the closest to l in 1, p, -0.4? -0.4 Let v = 72 + -71.8. Which is the nearest to 0.068? (a) -0.2 (b) 3 (c) v c Suppose 10*v = 7*v + 9. Let g(o) = 7*o**2 - 11*o + v*o**2 - o**3 + 1 + 0 + 2*o. Let s be g(9). What is the nearest to s in -0.4, 6, -3/2? -0.4 Let l = -0.163 + 1.163. Let f = 0.8 - 0.5. Let p(r) = -r**2 - 4*r + 4. Let g be p(-5). What is the closest to l in g, -2, f? f Let l = -191 - -189. What is the closest to 2 in -0.5, l, 2? 2 Let p be 15/7 + (-2)/1. Let r = -2/11 + 8/165. What is the nearest to r in -2/5, -0.3, p? -0.3 Let c = 34 + -1. Let a be (-1)/c*(-138)/23. What is the closest to 0.06 in 3, a, 2/9? a Let r = 0.9 + -1. Let n = -9.651 + 9.651. What is the closest to r in 0.2, 0.1, n? n Let d = 18 - 18.07. Let r = d + 5.07. Let x = 103.8 + -104. What is the nearest to -1 in r, x, -2/11? x Suppose -c = 3*t - 42, -92 + 8 = -2*c + 2*t. Let o be (-14)/(-98) - 3/(c/4). What is the nearest to 0.1 in 8, 1/6, o? 1/6 Suppose 0 = -q - 2*i + 4 + 16, 18 = q + i. Let g be (q/6)/((-14)/(-21)). Suppose 4*p + 12 = -g*c, -c + 0 = 4*p + 3. What is the closest to 0.1 in p, 2/9, -2/7? p Let r = 26 - 25.888. Let t = r - -0.988. Which is the closest to -0.2? (a) t (b) 2/5 (c) -3 b Let t = 16/311 + 853/1555. Which is the nearest to 1? (a) -3 (b) t (c) -3/7 (d) -1 b Let m be (-8)/32 - (-69)/(-12). Let w be -1*(-4 + 10)*(-3)/m. Which is the nearest to 4/3? (a) 4 (b) w (c) -5 a Let o = 36.6 + -37.6. What is the closest to o in 2.5, 0.4, 0? 0 Let y = -52.4 + 43. Let u = y - -8.9. What is the closest to 3 in u, -2, -0.4? -0.4 Let r = -1.3 + -3.7. Let i be ((-6)/(-10 - -4))/(-5). What is the nearest to -1/3 in -1/3, r, i? -1/3 Let n = -979 + 973. What is the nearest to -1 in -1/7, -4, -9, n? -1/7 Let o = -3 + 2.7. Let z be (-10)/(-14)*(-4)/(-10). Let k = 0.29 - -0.21. What is the closest to 3 in k, z, o? k Let w = 0.51 - 0.41. Let m = -15.6 + 16. What is the nearest to w in m, 2, -0.05? -0.05 Let f = 8 - 2. Suppose 2*t + f = 8. Let o be (t*(-1)/(-4))/(-1). Which is the nearest to o? (a) -1/3 (b) 4 (c) 5 a Let r = -169/3 - -847/15. Which is the closest to 2? (a) -5 (b) -2 (c) r (d) 0 c Let v = -1526 + 1517. What is the closest to -0.5 in -1/3, v, -0.5, -0.3? -0.5 Let j = -205 - -205.1. What is the nearest to j in 0.5, -6, -2? 0.5 Let c = -12 - -11.9. Let g = -1 + -14. Let n be ((-2)/5)/((-6)/g). What is the nearest to n in 3, c, 4? c Let u = -2.04 + 0.04. Let h = 1.09 + -2.0
{ "pile_set_name": "DM Mathematics" }
t -5, h, 0. -5, h, 0 Let u = -10 + 8. Put u, 0.5, -4 in ascending order. -4, u, 0.5 Let q be (2/3)/((-4)/(-12)). Suppose 1 + 17 = -q*c - 5*t, -2*t = 5*c + 24. Sort 0, c, 8 in descending order. 8, 0, c Let b be -4*3/(2*-3). Let w = -14 - -10. Suppose 0 = 3*l - 1 + 16. Sort w, b, l in descending order. b, w, l Let h = 5 - -5. Let l = 22 + -17. Sort l, h, -0.2 in decreasing order. h, l, -0.2 Suppose 3 = 2*v - 1. Suppose 0 = -2*b - 5*h - 3, 3*b + v*h = -h. Put 0, b, -1 in descending order. b, 0, -1 Let d be (1*(-6)/12)/((-5)/4). Sort -2, d, -0.013. -2, -0.013, d Let w = -51 + 50. Put 5, -4, w in descending order. 5, w, -4 Let r(z) = 3*z - 26. Let f be r(8). Sort f, 0, -9 in decreasing order. 0, f, -9 Suppose -l + 0*l = 4, 0 = -4*c + 2*l - 12. Let t = -5 - -1. Sort 0, c, t. c, t, 0 Let g(r) = -4*r**3 + r**2 - r - 1. Suppose 2*k - 3*k = 1. Let m be g(k). Put m, 0, 4 in descending order. m, 4, 0 Suppose 8*o - 7*o - 5 = 0. Let q = -0.2 + 0. Put o, q, -0.5 in decreasing order. o, q, -0.5 Suppose 4*g = 8 + 24. Let r = g + -12. Let k be 0 + 1*(-3 - -2). Put -5, k, r in descending order. k, r, -5 Suppose -14*y + 9*y + 15 = 0. Suppose 0*o = 3*o. Sort 2, o, y in descending order. y, 2, o Let j = 0.01 - -0.09. Let q = -1.4 + 0.4. Put j, -2/11, q in decreasing order. j, -2/11, q Let z be (-8)/12*(0 + -9). Let g = z + -7. Let i be 2/(1 - g)*0. Sort 5, i, 2 in increasing order. i, 2, 5 Let g(t) = t**2 - 25*t - 23. Let b be g(26). Sort 1, 5, b in increasing order. 1, b, 5 Suppose 3*x = 6, -5*x + 0 = f - 9. Let p be (2 - 3) + 3 + -6. Sort f, p, 3 in decreasing order. 3, f, p Let p = 2.7 - -0.3. Let d = -5.1 + -0.5. Let z = -0.6 - d. Sort z, p, 5/2 in increasing order. 5/2, p, z Suppose 0*q - 2*q = 6*q. Put 0.5, -0.17, q, -4 in decreasing order. 0.5, q, -0.17, -4 Suppose 2*w - w - 3*w = 0. Let y(b) = 2*b**2 + 5*b + 2. Let r be y(-3). Sort r, -5, w. -5, w, r Let f be (4/5)/((-3)/15). Let s = 3 - 4. Let g be s/(-2)*f/(-3). Put -3, -2/11, g in descending order. g, -2/11, -3 Suppose -j + 2*j - 5*w = 22, 4*w = 4*j - 24. Suppose z - 11 = -5*i, 1 = j*z + 3*z - 2*i. Let d be ((-10)/(-8))/(5/20). Sort d, z, 4. z, 4, d Suppose 5 = 2*l - 3. Suppose 2*n + 5*p = -15, -17 = 4*n - 7*p + l*p. Let d(u) = u**2 - 6*u + 5. Let f be d(5). Sort 5, n, f in ascending order. n, f, 5 Let f = 11 - 8. Suppose 20 = -f*n - n. Put n, 0, -3 in decreasing order. 0, -3, n Suppose -d = -0*d + 2. Suppose -6*k = -2*k - 20. Sort k, 2, d. d, 2, k Let w(a) = -5*a**3 + a**2 + 1. Let u be w(1). Sort u, 4, 0. u, 0, 4 Let g = -0.07 + -1.93. Let f = g + 1.95. Let n = f - -2.05. Put -2, n, -2/3 in increasing order. -2, -2/3, n Let q(k) = k**3 - 6*k**2 + 2*k + 12. Let a be q(5). Sort a, 2, -2 in ascending order. a, -2, 2 Let p = 4.1 + -0.1. Let t = p + -3.6. Suppose 5*y + 2*a + 3*a + 50 = 0, 0 = -4*y + 2*a - 10. Sort y, t, -0.2 in descending order. t, -0.2, y Let p(v) = -v**3 - 9*v**2 + v + 10. Let d be p(-9). Let q = 4 - 5. Sort d, -5, q in increasing order. -5, q, d Let y(w) = -3*w + 19. Let r be y(7). Sort -25, r, 0, 2. -25, r, 0, 2 Let d = 4 + -2. Let x be ((-8)/68)/((-4)/12*-3). Sort 0.4, x, d in descending order. d, 0.4, x Let f = -6 - -10. Suppose 3*a - 2 - f = 0. Suppose -q - 1 = -a. Sort -1, q, 0.2. -1, 0.2, q Let q = 1 + -1. Let o = 10 + -5. Suppose -3*p - o = 4*u - 6*p, -p = 2*u + 5. Sort u, 3/5, q in decreasing order. 3/5, q, u Let t(m) = 48*m**3 + 1. Let y be t(1). Suppose -2*j = 4*i - 16, -5*j + y = 2*i - i. Suppose -4*p + j = -6. Put p, 5, -1 in decreasing order. 5, p, -1 Let j = -63 - -50.2. Let x = -12 - j. Put x, -0.1, -1 in decreasing order. x, -0.1, -1 Let w = 0.8 - -0.2. Let j = -10 - -15. Let l(n) = -2*n - 4. Let h be l(-4). Put w, h, j in ascending order. w, h, j Let u = -8 - 4. Let a = u + 7. Sort -0.2, a, -0.5. a, -0.5, -0.2 Suppose 0 = -3*x, 5*m - 2*x - 2*x + 20 = 0. Sort -12, 3, 5, m in ascending order. -12, m, 3, 5 Let h = 22 + -22. Suppose h = 5*o - 5*l, -2*o + 4 = 2*l - 4. Put -4, 0, o in decreasing order. o, 0, -4 Let u = -10 - -5. Let o = -5.2 + 5. Sort o, u, -0.3 in increasing order. u, -0.3, o Let y(t) = t**2 + 6*t + 5. Let b be y(-6). Sort -0.02, b, 1, -6/5. -6/5, -0.02, 1, b Let h = -0.83 - -0.53. Put h, -2/3, 0.01 in descending order. 0.01, h, -2/3 Let c be 165/(-35) + 2/(-7). Put 4/3, 0.1, c in descending order. 4/3, 0.1, c Let j(u) = u**3 - 2*u + 1. Let t be j(-2). Sort 1, t, -4, -1. -4, t, -1, 1 Suppose -235 = -5*a + 25. Let q be a/180 - (-4)/(-10). Let c = -0.2 + 0. Sort -0.3, c, q in decreasing order. q, c, -0.3 Let f = 12 + -7. Let s = -0.4 - -0.2. Let x = 0.3 + s. Put f, -1/3, x in descending order. f, x, -1/3 Let r = 1.46 - 1.5. Put 0.4, r, 0 in decreasing order. 0.4, 0, r Let f = 20 - 22. Put -5, f, 0 in descending order. 0, f, -5 Let i = 0 + 0. Suppose c + c - 8 = i. Suppose -3*l + 6 = -9. Sort l, c, -3 in decreasing order. l, c, -3 Let l(j) = j**3 - 16*j**2 + 15*j - 8. Let w be l(15). Let u = 7 + w. Put u, -6, 1 in decreasing order. 1, u, -6 Let l = -3 - -8. Suppose -l*y = -9 - 6. Suppose 0*b - 37 = -3*b + 5*i, y*b + 5*i + 13 = 0. Sort -5, -2, b in decreasing order. b, -2, -5 Let w = -2 + 5. Suppose -2*u - 5 = -w*u. Put -2, 1, u in decreasing order. u, 1, -2 Let o(z) = z**2 + 5*z + 9. Let t be o(-7). Suppose -5*s + t = 3*h, -s + 2 = -2*h - 0. Let d be (-95)/(-220) + s/(-22). Put 5, d, 0 in increasing order. 0, d, 5 Suppose 2*v - 2*m = -3*v - 23, 2*v = -2*m + 2. Let j(b) = -b**3 - 3*b**2 - b. Let l be j(0). Put v, 5, l in decreasing order. 5, l, v Let a = -11.9 - 4.1. Let u = a + 24. Sort 2/3, 5, u in ascending order. 2/3, 5, u Let t be 14/4 - (-5)/10. Let q be -1 + 3 - 8/2. Let c = q + 2. Sort t, -5, c. -5, c, t Let v be (-6)/(-28) - (-1)/(-2). Let c = 22 + -20. Sort 0.4, c, v in descending order. c, 0.4, v Let c be (-1 + 9/4)/(3/36). Sort 5, c, 1. 1, 5, c Let d = -29 - -143/5. Let m = -0.044 - -0.044. Put d, m, -6 in decreasing order. m, d, -6 Suppose -16*g + 17*g = 0. Put g, 1, -5 in decreasing order. 1, g, -5 Let c = -15/8 - -181/88. Let i = 0.04 + 0.46. Let h = -0.07 - 1.93. Sort h, i, c in ascending order. h, c, i Let o(f) = f**3 + f**2 + f + 1. Let u be o(-1). Let b = u + 0. Suppose b*a - 5*a = 0. Put a, -5, 5 in decreasing order. 5, a, -5 Suppose -4*r - 4*n + 33 = 1, 12 = 3*r - n. Suppose 0 = 2*s + 4*x + 8, r*x + 0*x = 0. Suppose -3*k = -3, 0*k + 2 = 3*y - k. Put -1, s, y in descending order. y, -1, s Let n be ((-8)/(-12))/(376/106). Let u = 1/47 - n. Sort -2, u, 1 in descending order. 1, u, -2 Let u = 0 + -8. Let o = -7 - u. Sort o, -0.5, -5 in ascending order. -5, -0.5, o Let o = -31 + 28. Let k = -1 - -4. Put 5, k, o in increasing order. o, k, 5 Let y = 11 + -10.7. Suppose -3 = f - 0*f + 4*m, -f - 5*m - 5 = 0. Put 4, f, y in decreasing order. f, 4, y Let w = -0.06 - 0.04. Let d = -3 + 2. Sort d, w, -1/2 in decreasing order. w, -1/2, d Let x be (-4)/10 - (-1432)/(-20). Let d be (-50)/(-18) - 16/x. Suppose -3*o + 3*y = 3, 8 = y - 5*y. Put o, d, 4 in descending order. 4, d, o Suppose -4*x - 6 = 2. Suppose -13 = 3*s + 5*i - 1, 5*s = -4*i - 7. Sort x, -5, s. -5, x, s Let z = 4 + -1. Sort 1, 4, z in ascending order. 1, z, 4 Let y = 6 - 6. Let d be (1 + -1 + y)/(-2). Sort -0.1, -2/3, d in descending order. d, -0.1, -2/3 Suppose 0*y + 2*k = -2*y - 6, -4*y - k = 0. Suppose 8 + 2 = b. Suppose 4*q - b*q - 18 = 0. Sort 5, y, q in increasing order. q, y, 5 Let j = 4 - 4. Suppose g = 5*w + 7, -g = -2*w - 4 + 3. Let q be (w/(-3))/(2/(-6)). Put q, j, -5 in increasing order. -5, q, j Let x(g) = -g**3 - 6*g**2 + g + 1. Let y be x(-6). Put -4, y, -3 in decreasing order. -3, -4, y Let l(d) = d**3 + 17*d**2 + 16*d + 2. Let t be l(-16). Sort -1, t, -44 in descending order. t, -1, -44 Let l(u) = -u**3 + 6*u**2. Let r be l(6). Suppose i + 17 = -3*p, -2*p - 2*i - 20 = 2*p. Sort p, 2, r. p, r, 2 Let g(j) = 2*j - 10. Let z be g(4). Sort 1.8, z, 5 in decreasing order. 5, 1.8, z Suppose 0 = 2*a - 4*a + a. Sort 1, a, -3, -4 in increasing order. -4, -3, a, 1 Suppose -p = p - 10. Suppose 0 = p*k + 4*w + w - 75, w = 0. Let q be (-2 - k/(-6))*-4. Put -1, q, -0.4 in decreasing order. -0.4, -1, q Let s = 0.4 + -0.7. Let b = 0.3 + 0.7. Sort b, 0.1, s in decreasing order. b, 0.1, s Let t be 108/14 - 8/(-28). Let b = -4 + t. Let p(o) = -o - 2. Let m be p(-1). Put b, m, -4 in descending
{ "pile_set_name": "DM Mathematics" }
nd 184. 14213448 Calculate the common denominator of 121/331800 and -149/1167936. 29198400 Find the common denominator of 1/30 and -55/245781573. 2457815730 What is the common denominator of -127/273126 and -83/7056? 6555024 Calculate the smallest common multiple of 390 and 266379282. 1331896410 Calculate the least common multiple of 16111650 and 17418. 16111650 What is the least common multiple of 362664 and 287109? 6890616 Find the common denominator of -46/41643 and 26/21735. 14366835 Calculate the least common multiple of 2468880 and 1170. 32095440 Calculate the smallest common multiple of 3282900 and 5648. 13131600 Calculate the smallest common multiple of 1410294 and 21684. 36667644 What is the common denominator of -25/746496 and -69/7168? 5225472 Find the common denominator of 137/14490 and 139/18208134. 91040670 Calculate the common denominator of -27/3364631 and 15/27506. 114397454 Calculate the least common multiple of 2603045 and 26551059. 132755295 What is the least common multiple of 83765952 and 27921984? 83765952 What is the common denominator of 19/2027138 and 45/4? 4054276 Calculate the lowest common multiple of 3168 and 124188. 32785632 Calculate the least common multiple of 4185974 and 6. 12557922 Calculate the lowest common multiple of 576034096 and 242. 6336375056 Find the common denominator of 5/1358 and 5/7058. 4792382 Calculate the least common multiple of 2493084 and 2077570. 12465420 Find the common denominator of 157/35490 and -8/82005. 27717690 Calculate the least common multiple of 16140803 and 1071. 145267227 Calculate the least common multiple of 10 and 8657968. 43289840 What is the lowest common multiple of 3331 and 13461? 44838591 Calculate the lowest common multiple of 50820 and 1826660. 421958460 Calculate the least common multiple of 16 and 1580780. 6323120 Calculate the common denominator of 97/26786214 and 173/723227778. 723227778 Find the common denominator of 209/300720 and -103/343680. 2405760 Calculate the common denominator of 22/199785 and 79/3875829. 19379145 Calculate the lowest common multiple of 6015924 and 2862. 6015924 Find the common denominator of 32/27 and 187/29280. 263520 What is the lowest common multiple of 154990 and 5148486? 283166730 What is the least common multiple of 27 and 4780524? 43024716 Find the common denominator of -11/2294 and 1/214498176. 214498176 Calculate the lowest common multiple of 18278292 and 2134. 201061212 Calculate the lowest common multiple of 1712580 and 12. 1712580 What is the common denominator of 151/3410058 and 19/526? 3410058 What is the lowest common multiple of 87885 and 1372680? 28826280 Find the common denominator of -7/143168 and -71/1413784. 11310272 What is the common denominator of 37/38589460 and -67/490? 38589460 Calculate the common denominator of 35/2514912 and -106/106743. 228856992 Calculate the smallest common multiple of 3 and 2992320. 2992320 What is the common denominator of -65/98 and -63/21188978? 1038259922 What is the common denominator of 56/15 and -9/130968805? 392906415 Calculate the smallest common multiple of 88820 and 508. 11280140 Calculate the least common multiple of 957552 and 208. 12448176 Calculate the smallest common multiple of 77440515 and 3576. 619524120 What is the common denominator of -31/35 and -49/12753220? 89272540 Calculate the lowest common multiple of 70 and 9531300. 66719100 Calculate the least common multiple of 650 and 355875. 711750 What is the common denominator of 25/4928 and 61/19602? 4390848 Find the common denominator of -67/363156 and 21/3026300. 9078900 Find the common denominator of -71/124413580 and -67/140. 870895060 Find the common denominator of -169/240 and -169/172410. 1379280 Calculate the common denominator of -63/178130 and -17/2820. 1068780 Calculate the common denominator of -61/243 and -113/1147248. 30975696 Find the common denominator of 127/9784650 and 7/2050. 9784650 Find the common denominator of 26/1947245 and 97/7640. 15577960 What is the smallest common multiple of 82386024 and 41193012? 82386024 Calculate the lowest common multiple of 186894 and 52. 4859244 What is the smallest common multiple of 1788 and 541731? 322871676 Calculate the least common multiple of 432228 and 288152. 864456 What is the common denominator of -43/67573179 and -45/521? 67573179 What is the least common multiple of 1923765 and 7329? 4699757895 What is the least common multiple of 166980 and 7460? 62283540 Calculate the common denominator of -133/267156 and -76/363. 32325876 Calculate the common denominator of -107/5784174 and -65/350556. 11568348 What is the lowest common multiple of 96209 and 196554? 402346038 What is the least common multiple of 12 and 898710? 1797420 What is the least common multiple of 24724 and 5655615? 22622460 What is the common denominator of 151/234606 and -143/26922? 1642242 What is the common denominator of 52/1985457 and 25/6924? 7941828 What is the common denominator of -16/271545 and -39/561193? 8417895 What is the common denominator of -23/20407130 and -75/44895686? 224478430 What is the common denominator of -64/270795 and -37/232110? 1624770 Calculate the common denominator of -19/108 and -127/305700. 2751300 Calculate the lowest common multiple of 43919096 and 2082. 131757288 What is the least common multiple of 27457441 and 226921? 27457441 Calculate the common denominator of -32/1992725 and 16/7. 1992725 Calculate the lowest common multiple of 129276 and 7860. 84675780 What is the smallest common multiple of 20340 and 510? 345780 Find the common denominator of -101/1056 and -13/20114864. 120689184 What is the least common multiple of 140 and 67643296? 338216480 What is the lowest common multiple of 3234085 and 149093? 430133305 Calculate the common denominator of -4/47345 and 3/119755. 2035835 What is the common denominator of -33/15626344 and -69/15626344? 15626344 What is the smallest common multiple of 2 and 37589312? 37589312 What is the least common multiple of 204600 and 1100? 204600 Calculate the smallest common multiple of 9312 and 7039872. 7039872 What is the smallest common multiple of 464 and 48335? 22427440 Find the common denominator of -37/48 and 43/2141100. 8564400 Find the common denominator of 3/374 and -61/55075. 20598050 Calculate the common denominator of -151/67187928 and -61/5598994. 67187928 Calculate the least common multiple of 2119526 and 1351. 14836682 What is the lowest common multiple of 2335704 and 403187? 67735416 What is the smallest common multiple of 707724 and 2594988? 7784964 Calculate the common denominator of -37/157215 and -4/103695. 4873665 What is the common denominator of 83/902744 and -115/72? 8124696 Find the common denominator of -39/7995446 and 46. 7995446 Calculate the least common multiple of 6687424 and 13374848. 13374848 Calculate the common denominator of 45/776 and -38/1893. 1468968 Calculate the least common multiple of 2347550 and 191400. 309876600 Calculate the smallest common multiple of 586625 and 6250. 29331250 Calculate the common denominator of 71/9228152 and -97/38. 175334888 Calculate the common denominator of 113/4443552 and 61/45036. 13330656 Calculate the common denominator of -87/127876 and -11/5882296. 5882296 What is the lowest common multiple of 67900393 and 59213? 475302751 Calculate the common denominator of 43/70875 and 26/83475. 3756375 What is the least common multiple of 672 and 3220448? 9661344 What is the common denominator of -17/3673773 and 35/36? 14695092 Calculate the common denominator of -47/743259 and -85/495506. 1486518 Calculate the common denominator of -29/7947 and 43/17985827. 161872443 Calculate the least common multiple of 3513809 and 1. 3513809 What is the least common multiple of 227916200 and 225? 2051245800 Find the common denominator of -23/3044 and 55/48302192. 48302192 Calculate the common denominator of -9/627205 and -9/224. 140493920 What is the least common multiple of 40548 and 592? 6001104 Calculate the smallest common multiple of 1042 and 514530. 268070130 What is the common denominator of -85/311016 and 127/15336? 198739224 Calculate the least common multiple of 131840675 and 192820. 527362700 What is the least common multiple of 520 and 156473616? 78236808
{ "pile_set_name": "DM Mathematics" }
. Calculate the highest common factor of q and 25. 25 Let c be 3 - -75 - (18 - 10 - 2). What is the highest common divisor of 32 and c? 8 Let l = 1245 + -765. What is the greatest common divisor of 24 and l? 24 Let f(j) be the first derivative of -24*j**2 - 4*j - 9. Let z be f(-1). Calculate the greatest common divisor of 4 and z. 4 Let k be 12/(-10)*35/(-14). Suppose -k*j + 3 = -9. Suppose 77 = w - 0*w + 4*d, -j*w - 2*d + 322 = 0. What is the highest common factor of w and 9? 9 Let i = -53 + 14. Let g = i - -84. What is the greatest common factor of 135 and g? 45 Suppose 148 = 4*i - 104. Let j(m) = m**3 - 9*m**2 - 7*m + 84. Let f be j(9). What is the highest common factor of i and f? 21 Let g(u) = -250*u. Let y(w) = -w. Let v(m) = g(m) - 200*y(m). Let q be v(-2). Calculate the highest common factor of q and 20. 20 Let s(w) = w**2 - 3*w - 18. Let c be s(6). Suppose c = 3*l - 7*l + 32. Calculate the greatest common factor of l and 32. 8 Let k(q) = -q**2 + 16*q - 47. Let d be k(7). Let h = 32 + -45. Let o = d + h. Calculate the highest common divisor of 9 and o. 3 Let y be -1080*-2*2/10. Calculate the greatest common divisor of y and 162. 54 Let u(i) be the second derivative of 13*i**3/6 + 5*i**2/2 + 6*i. Let s be u(2). What is the greatest common divisor of s and 31? 31 Let f(b) = b**3 - 14*b**2 + 35*b + 38. Let h be f(12). Suppose -6*l = -3*l - 204. What is the highest common divisor of l and h? 34 Suppose -2*g - 2*z + 40 = 0, 3*z - 5 - 10 = 0. Calculate the greatest common divisor of 255 and g. 15 Let h(o) = o**3 - 4*o**2 + 2*o + 1. Let n be h(3). Let b be 19/(3/n - (-4 - -2)). What is the highest common divisor of 114 and b? 38 Let g be (-3)/(1 - (-17)/(-14)). Let d = 7948 - 7822. What is the highest common factor of d and g? 14 Suppose -z + 2*z = 4*z. Let o be 0 - (z + (2 - -1)) - -233. Calculate the highest common factor of o and 23. 23 Let k be ((-50)/8)/(119/(-22372)). What is the highest common factor of k and 25? 25 Let o be (-1479)/(-255) - (-2)/10. What is the greatest common divisor of 78 and o? 6 Let g be 64/9 + (-13)/117. Calculate the highest common divisor of g and 133. 7 Let c(j) = -484*j + 1471. Let z be c(3). Let q(h) = h**3 - 4*h**2 + 2*h + 3. Let m be q(5). What is the greatest common divisor of z and m? 19 Let o be -6*10/8*576/(-27). Let r = 173 + -109. What is the highest common factor of o and r? 32 Suppose -207*p + 203*p - 3*i = -1863, -4*i = -4. What is the greatest common divisor of 279 and p? 93 Let t be (50/(-3))/(2/(-6)). Suppose 3*h = -b + 34, -5*b = 12 - 32. What is the greatest common divisor of h and t? 10 Suppose -5*s - 165 + 61 = -3*v, -3*s + 30 = v. Let b be (-1 + -4 - -4)*11. Let x be 1*-1*11*b/11. What is the greatest common divisor of v and x? 11 Suppose 5*v - g - 108 = 2*g, 36 = v + 3*g. Let k(r) = r**2 + 8*r + 14. Let i be k(-6). Suppose i*a - 30 = -3*a. What is the highest common divisor of a and v? 6 Let q be -6*((-12)/9)/4. Suppose q*y + 2*y - 84 = 0. Calculate the highest common divisor of 189 and y. 21 Let b be 2*172/(-16)*-2. Let c = b - 22. Calculate the highest common divisor of c and 35. 7 Suppose -33796 = 51*h - 68*h. Calculate the highest common factor of 71 and h. 71 Suppose -25 = -f + 4*p - 2, 0 = -2*f + 2*p + 16. Suppose 3*q - f = j, -5*j + 39 + 16 = -q. Calculate the greatest common divisor of j and 8. 4 Let z be (1 - (-1724)/44) + 6/(-33). What is the greatest common factor of 760 and z? 40 Suppose 0*o = -4*o + 12. Suppose q - o - 5 = 0. Let p(f) = -f**3 - 2*f + 32. Let k be p(0). Calculate the greatest common divisor of k and q. 8 Suppose 0 = -n - 2*t + 2, 0*t = -t - 2. Suppose -4*v + 5 = -3. Suppose 48 = 3*i - v*i. What is the greatest common divisor of n and i? 6 Let f(z) = z + 24. Suppose -7*u = -4*u + 24. Let m be f(u). Suppose -m*i + 12*i = -176. What is the highest common factor of i and 11? 11 Suppose 3*u + 2*f - 115 + 59 = 0, 5*u - 5*f - 85 = 0. Calculate the greatest common factor of u and 258. 6 Suppose 0*x + 21 = 3*w - x, 5*w - 37 = x. Suppose 0 = w*r - 5*r - 45. Suppose 2*k - 97 = r. Calculate the highest common factor of 8 and k. 8 Let x be ((-120)/(-14))/((-3)/(-126)). What is the greatest common divisor of x and 18? 18 Let n(x) = 100*x**2 + 2*x - 3. Let v be n(1). Let j = v + -69. Let z(y) = -11*y - 2. Let l be z(-2). What is the highest common factor of l and j? 10 Let w be (-8)/(-14) + (-25)/7 - -371. Calculate the highest common factor of 23 and w. 23 Let x be 288/(-360) + (-304)/(-5). What is the highest common factor of 315 and x? 15 Let j(w) = -38*w - 74. Let x be j(-7). Calculate the highest common factor of 144 and x. 48 Let l(z) = 2*z - 14. Let c be l(8). Suppose -c*q = 2*q. Suppose -2*w = 2*g - 58, q = 4*w + g + g - 106. Calculate the highest common divisor of 16 and w. 8 Suppose -4*x + 29 + 10 = -5*b, 36 = x + 4*b. Calculate the greatest common divisor of x and 752. 16 Let m(b) = -b**2 - 15*b - 8. Let q be m(-11). Suppose c = 21 + q. Calculate the greatest common factor of c and 38. 19 Suppose -5*w + 424 = -4*q - 0*q, -356 = -4*w - q. Calculate the highest common divisor of 22 and w. 22 Let h be 1/(-3) - 62/(-6). Let a = h + -1. Suppose -3*d + 20 = j + 13, 3*j - 15 = -3*d. What is the highest common divisor of d and a? 1 Let n = -7 + 87. Let y(f) = -2*f**2 + 19*f - 4. Let m be y(8). What is the highest common divisor of n and m? 20 Let h be (3 + -2 - -1)/(-2). Let c be h/(-4)*-2*-66. Let v = -3 + 14. Calculate the highest common divisor of v and c. 11 Let h(w) = -w**2 - 3*w. Let n be h(-2). Suppose x = -5*c - 9, 5*x + n*c + 1 = 2*x. Let v be (21/(-12))/(x/(-4)). What is the highest common divisor of v and 77? 7 Let g be ((-18)/6)/((-12)/(-8)). Let f be ((-1)/2*g)/(2/154). What is the highest common divisor of 11 and f? 11 Suppose 5*h = -4*m + 49, 0 = m + 2*m + 3*h - 33. Let g be -1 - (-4 + -3 + 4). Suppose -g*a - 54 = -3*a. Calculate the highest common divisor of m and a. 6 Suppose 0 = 3*r - 2*r + 5*b - 149, 0 = -3*r + 2*b + 498. Suppose 2*u = -5*a + 106, -3*u = -0*u + 5*a - r. What is the highest common divisor of u and 29? 29 Let a(z) = -10*z. Let c be a(-1). Let f(m) = 49*m - 21. Let d be f(4). Suppose -d = 10*k - 17*k. What is the greatest common factor of c and k? 5 Suppose -f + 0*f = -8. Let x be (4/6)/(8 + (-1287)/162). What is the greatest common divisor of f and x? 4 Let x(u) = -u**3 + 19*u**2 + u - 26. Let o be x(18). Calculate the greatest common divisor of 2 and o. 2 Let j(p) = 34*p - 132. Let g be j(6). What is the highest common divisor of 504 and g? 72 Suppose 0 = -3*v + 2*m + 70 + 36, -94 = -3*v - 4*m. Suppose 19*n + v = 224. What is the greatest common divisor of 190 and n? 10 Suppose 91 = n + 53. What is the greatest common factor of n and 95? 19 Suppose 5*h = 2*z - 10, -5*z - 2 - 2 = 2*h. Let r(l) = 4*l + 2*l**2 - l**2 + z - 6. Let v be r(-7). What is the greatest common factor of 165 and v? 15 Suppose 2*i = 2*f + 3*i - 320, 0 = 2*f - 4*i - 310. Suppose 0 = 3*x - f + 42. Suppose -4*q + 21 = -x. Calculate the highest common divisor of 30 and q. 15 Let q(b) = b**3 - 7*b**2 + 3*b - 7. Let o be q(7). Let j(m) = -m - 14. Let z be j(o). Let k = z - -41. Calculate the greatest common divisor of 65 and k. 13 Let x = 38 - 36. Suppose -7*t - 5*y = -3*t - 40, x*t + 2*y = 18. Calculate the greatest common divisor of 20 and t. 5 Let d(n) = n**2 + 11*n - 21. Let i = -59 - -89. Let z = 17 - i. Let h be d(z). Calculate the greatest common factor of h and 2. 1 Suppose 2*f = -7*f - 36. Let m be 5*(-28)/(-35)*(-3)/f. Suppose j + 12 = 3*j. Calculate the highest common factor of j and m. 3 Suppose 29*a - 3358 = -3*z + 31*a, 0 = 2*z - a - 2239. What is the greatest common divisor of 35 and z? 35 Let i = -42 + 44. Suppose -a - 4*a + 62 = i*p, 2*p - 2*a = 34. What is the highest common factor of p and 189? 21 Let l(d) = d**3 + 2*d**2 + 7*d + 4. Let u be l(-6). Let q = u + 257. Let o = 2 - -13. What is the highest common factor of q and o? 15 Suppose -2*j = -5*f - 0*j + 41, 0 = 4*f - 2*j - 32. Suppose 634 - 94 = f*s. Calculate the greatest common divisor of 40 and s. 20 Let c = -457 - -780. What is the greatest common factor of c and 17? 17 Suppose 42*d - 48*d + 1110 = 0. Calculate the greatest common factor of d and 111. 37 Let i(q) = 17*q**2 - 50*q - 8. Let x
{ "pile_set_name": "DM Mathematics" }
e prime factors of 179780467. 179780467 What are the prime factors of 518537972? 2, 2549, 50857 List the prime factors of 38065280. 2, 5, 11, 5407 What are the prime factors of 1759164719? 13, 31, 613, 7121 List the prime factors of 65495361. 3, 21831787 List the prime factors of 1633683065. 5, 7, 46676659 What are the prime factors of 55675631? 11, 107, 47303 List the prime factors of 345849255. 3, 5, 227, 33857 What are the prime factors of 55788712? 2, 7, 19, 52433 What are the prime factors of 54694209? 3, 18231403 List the prime factors of 120168822. 2, 3, 37, 541301 What are the prime factors of 385615820? 2, 5, 31, 67, 9283 What are the prime factors of 63616960? 2, 5, 11, 31, 53 List the prime factors of 15734565. 3, 5, 7, 11, 19, 239 What are the prime factors of 101546756? 2, 71, 357559 List the prime factors of 6639397219. 7, 13, 787, 92707 List the prime factors of 3908889923. 3908889923 What are the prime factors of 950498894? 2, 191, 2488217 What are the prime factors of 12030599? 7, 1303, 1319 What are the prime factors of 4645880532? 2, 3, 19, 6792223 What are the prime factors of 13835460? 2, 3, 5, 293, 787 What are the prime factors of 1291820277? 3, 11, 23, 439, 3877 What are the prime factors of 1278164581? 1278164581 What are the prime factors of 134365086? 2, 3, 71, 105137 List the prime factors of 21046280. 2, 5, 526157 List the prime factors of 3612128502. 2, 3, 1327, 453671 What are the prime factors of 310980294? 2, 3, 47, 113, 3253 What are the prime factors of 139537155? 3, 5, 1723, 5399 List the prime factors of 527683054. 2, 31, 8511017 What are the prime factors of 2818418099? 7, 29, 13883833 What are the prime factors of 226705093? 19, 29, 411443 What are the prime factors of 60131813? 7, 599, 14341 What are the prime factors of 45137600? 2, 5, 28211 List the prime factors of 31359935. 5, 6271987 What are the prime factors of 11067267? 3, 71, 223, 233 List the prime factors of 382413534. 2, 3, 43, 823, 1801 What are the prime factors of 436980838? 2, 7, 127, 245771 What are the prime factors of 31390695? 3, 5, 7, 227, 439 List the prime factors of 414808733. 1907, 217519 List the prime factors of 16976989. 101, 168089 List the prime factors of 1356195819. 3, 11, 41096843 What are the prime factors of 136860582? 2, 3, 22810097 What are the prime factors of 5511832619? 179, 421, 73141 List the prime factors of 265576392. 2, 3, 3688561 List the prime factors of 16405889. 61, 4409 List the prime factors of 356108517. 3, 23, 74797 What are the prime factors of 3918628951? 19, 83, 2484863 What are the prime factors of 2288862654? 2, 3, 13, 131, 17231 What are the prime factors of 961397037? 3, 106821893 List the prime factors of 4341730290. 2, 3, 5, 144724343 What are the prime factors of 21360096? 2, 3, 74167 What are the prime factors of 2750689246? 2, 373, 3687251 List the prime factors of 23871771. 3, 7, 11, 19, 37 List the prime factors of 164558265. 3, 5, 10970551 List the prime factors of 2300466402. 2, 3, 13, 107, 139, 661 What are the prime factors of 63236363? 71, 890653 What are the prime factors of 1545181744? 2, 613, 157543 List the prime factors of 768201860. 2, 5, 3923, 9791 What are the prime factors of 904556272? 2, 56534767 List the prime factors of 4032355713. 3, 263, 5110717 List the prime factors of 363336081. 3, 121112027 List the prime factors of 126371438. 2, 17, 31, 47, 2551 What are the prime factors of 50757440? 2, 5, 158617 What are the prime factors of 144545353? 144545353 List the prime factors of 274185048. 2, 3, 19, 601283 What are the prime factors of 37983996? 2, 3, 811, 1301 What are the prime factors of 31591743? 3, 1237, 8513 List the prime factors of 2309249849. 2309249849 What are the prime factors of 822308904? 2, 3, 17, 19, 1861 What are the prime factors of 59878350? 2, 3, 5, 7, 19009 List the prime factors of 365743719. 3, 11, 179, 20639 List the prime factors of 14309274. 2, 3, 7, 17, 409 What are the prime factors of 102995992? 2, 11, 73, 16033 List the prime factors of 72595468. 2, 11, 29, 56893 What are the prime factors of 102884996? 2, 521, 49369 What are the prime factors of 58784879? 19, 162839 List the prime factors of 29491600. 2, 5, 17, 4337 List the prime factors of 954412237. 19, 89, 564407 What are the prime factors of 224671176? 2, 3, 23, 135671 What are the prime factors of 4382309? 4382309 What are the prime factors of 5168583902? 2, 41, 7669, 8219 What are the prime factors of 2005626? 2, 3, 7, 17, 53 List the prime factors of 4655895884. 2, 9421, 123551 What are the prime factors of 1133115036? 2, 3, 277, 340889 What are the prime factors of 65128949? 907, 71807 List the prime factors of 3907209. 3, 31, 42013 What are the prime factors of 1529880290? 2, 5, 152988029 List the prime factors of 57536843. 7, 13, 632273 List the prime factors of 21501261. 3, 41, 19423 What are the prime factors of 280124043? 3, 93374681 What are the prime factors of 1136615351? 89, 12770959 What are the prime factors of 1645484010? 2, 3, 5, 43, 1275569 List the prime factors of 5842847549. 7, 11, 75881137 List the prime factors of 867466276. 2, 17, 2467, 5171 List the prime factors of 483566503. 7, 29, 47, 50683 List the prime factors of 4601582854. 2, 11, 53, 3946469 What are the prime factors of 1294916762? 2, 6481, 99901 List the prime factors of 126044628. 2, 3, 10503719 What are the prime factors of 1433164353? 3, 3803, 125617 What are the prime factors of 57878141? 83, 697327 What are the prime factors of 75668495? 5, 7, 308851 List the prime factors of 113753948. 2, 7, 11, 369331 List the prime factors of 3476165216. 2, 19, 109, 52453 List the prime factors of 2361929781. 3, 1579, 498613 What are the prime factors of 69305721? 3, 193, 119699 List the prime factors of 102076685. 5, 283, 72139 List the prime factors of 266774461. 13397, 19913 List the prime factors of 65733449. 4177, 15737 What are the prime factors of 20633444? 2, 13, 17, 1373 What are the prime factors of 6518958719? 7, 13, 277, 258617 What are the prime factors of 1957310939? 1957310939 What are the prime factors of 47958716? 2, 13, 922283 What are the prime factors of 4142409160? 2, 5, 397, 260857 What are the prime factors of 2205614591? 167, 13207273 List the prime factors of 195062449. 195062449 What are the prime factors of 993520196? 2, 248380049 What are the prime factors of 51741028? 2, 19, 680803 What are the prime factors of 48704101? 48704101 What are the prime factors of 41185042? 2, 23, 193, 4639 What are the prime factors of 5822985377? 11, 1063, 497989 What are the prime factors of 1688714351? 1688714351 What are the prime factors of 195671897? 195671897 What are the prime factors of 63986587? 7, 103, 88747 What are the prime factors of 57901879? 7, 23, 83, 619 What are the prime factors of 4999137460? 2, 5, 997, 250709 List the prime factors of 2535061676. 2, 7, 373, 242729 What are the prime factors of 290117679? 3, 467, 207079 List the prime factors of 247954384. 2, 17, 911597 What are the prime factors of 2019513946? 2, 17, 37, 61, 26317 What are the prime factors of 38030933? 38030933 What are the prime factors of 516163179? 3, 7, 103, 127, 1879 What are the prime factors of 55355682? 2, 3, 9225947 What are the prime factors of 614985409? 31, 4229, 4691 List the prime factors of 3404928578. 2, 1702464289 List the prime factors of 332034093. 3, 631, 19489 List the prime factors of 3067478151. 3, 1022492717 List the prime factors of 4693714364. 2, 43, 2341, 11657 List the prime factors of 1164247487. 13, 89557499 What are the prime factors of 2254435376? 2, 83, 239, 7103 What are the prime factors of 71310516? 2, 3, 5942543 List the prime factors of 1721645314. 2, 860822657 List the prime factors of 4704102127. 197, 283, 84377 What are the prime factors of 350892525? 3, 5, 4678567 List the prime factors of 252129515. 5, 11, 83, 5021 What are the prime factors of 1582831245? 3, 5, 105522083 What are the prime factors of 57465669? 3, 19155223 List the prime factors of 166729891. 53, 101, 31147 List the prime factors of 87968492. 2, 163, 134921 What are the prime factors of 41865101? 17, 43, 57271 List the prime factors of 745624727. 745624727 List the prime factors of 3221479. 37, 83
{ "pile_set_name": "DM Mathematics" }
k(d) = 3*d + 1 + 4*d + 17 - 5*d. Let x be k(-10). Let h be 1 + -1 + -2 - x. Solve 4*l + 5 + 7 = h for l. -3 Suppose 0 = -13*w - 6265 - 1990. Let z = w + 637. Solve -2 = -z*y + 8 for y. 5 Let a be 50 + 8 + (-6 + -3)/3. Suppose 36*u = 25*u + a. Let s be (6/(-8))/((-2)/8). Solve s*w - u*w = -4 for w. 2 Let g = -3058 - -3075. Solve 10*v = g + 3 for v. 2 Let l(h) be the second derivative of -h**4/12 - h**3/2 + 17*h**2/2 + 2*h. Let r be l(-5). Suppose -4*j = -r*j + 30. Solve 3*a - j = -2*a for a. 2 Let o(d) = -2*d**3 - 46*d**2 + 34*d - 219. Let v be o(-24). Solve 0 = -144*k + 131*k + v for k. 9 Let h be (1 - 2/4)*(-9 + 9). Let x(i) = 17 + 777*i - 7 - 770*i + i**2. Let t be x(-6). Solve t*l + 9 - 25 = h for l. 4 Let q(i) = -3*i**2 - 22*i - 21. Let z be q(-6). Let r = 13 - 3. Let c be 16/(-10)*(-25)/r. Solve -17 - z = c*f for f. -5 Let o = 2509 - 2503. Solve o*k + 0*k + 18 = 0 for k. -3 Let y(g) = -18*g**2 - 25*g + 31. Let f(r) = -r**2 + 2*r - 3. Let c(j) = -4*f(j) - y(j). Let m be c(1). Solve -10*z + 5*z = m for z. -4 Let t = 6589 - 6589. Solve -13*s + 8 - 21 = t for s. -1 Let n(t) = t**3 + 19*t**2 + 68*t + 6. Let o be n(-14). Solve -50 + 16 = o*p for p. -1 Let a be 2 + (-7 - -19 - 7). Let c(j) = j**2 - 18*j + 92. Let m be c(a). Solve d + 4*d = m for d. 3 Let f be 3/2 - -1 - 630/(-420). Suppose 3*k = -7*l + 3*l + 1, 0 = 4*l - 5*k - 41. Suppose -j + 8 = -0. Solve -l*z + f = j for z. -1 Suppose -83*b + 82*b = -2. Let w be -20 - -31 - b*1. Solve -w + 27 = 6*z for z. 3 Let k(n) = -n**2 - 55*n + 131. Let x be k(-57). Solve -14*r = x*r + 124 for r. -4 Let l = 10236 + -10184. Solve -l = -503*h + 490*h for h. 4 Suppose -2*k + 13 = 2*d - 9, 5*k = -4*d + 53. Solve 0 = -6*x + d + 22 for x. 4 Suppose -42*t = -157*t + 4140. Solve -60*j - t = -69*j for j. 4 Let t be (-88)/22*1/((-3)/42) + -7. Solve 5*o + 14 = t for o. 7 Let u(l) = l**2 + 7*l - 3. Let j be u(-8). Suppose -4*w + j*q = -w, 0 = -5*w + 2*q. Let d be (-2)/(6 + (-840)/138). Solve -4*o + 7 - d = w for o. -4 Let j = 2 + 19. Suppose -j*u - 27 = -24*u. Solve -11*p + 6 = -u*p for p. 3 Let y(c) = -2*c**2 + 5*c. Let k be y(0). Let x(p) = 2*p**2 - p + 35. Let a be x(k). Solve 11*w - a = 4*w for w. 5 Suppose 0 = 5*m + y - 123, 5*m - 6*m + 2*y = -18. Suppose -m*v - 29 = -25*v. Solve -v*z + 4 = -28*z for z. 4 Let z = 9 - -81. Suppose z = 10*i - 5*i. Let u = i + -13. Solve u = -j - 0*j for j. -5 Let t(l) = l**2 - 61*l + 959. Let z be t(25). Solve 20*v = z*v for v. 0 Let z(b) = -26*b + 737. Let a be z(24). Solve 0 = -3*q + a - 122 for q. -3 Let d(l) = -27*l + 17. Let z(j) = 58*j - 34. Let m(b) = -13*d(b) - 6*z(b). Let x be m(6). Let g(t) = -2*t - 2. Let i be g(-2). Solve i*c = -x + 9 for c. 4 Suppose 0 = -35*r + 39*r. Suppose 5*q + 4 - 14 = r. Suppose 2 = -q*d - s, -3*d = -5*s - 26 + 3. Solve 0*a = -a - d for a. -1 Suppose 1294 + 4286 = 18*r. Suppose 0 = 43*s - 12*s - r. Solve s = -5*q + 20 for q. 2 Let p be (-294 + 292)*(-2 - 0). Solve -17 = 13*w - p for w. -1 Let k(l) = -l**3 + 7*l**2 - 15*l + 17. Let o be k(3). Let n be 1/(40/35 - 1). Suppose 5*g = m + 20, -2*m = -3*g + 4*g + n. Solve -g*a - a = -o for a. 2 Suppose -12 = -q - 5*w, 4*q + 11*w = 6*w + 18. Let l = 7 + -4. Suppose 0*h = -2*h - r - l, -3*h = r + 3. Solve -3*g - q - 10 = h for g. -4 Suppose 4*u = 3*k + 141, 1628*k = 4*u + 1626*k - 142. Solve 4*y = 10*y + u for y. -6 Let r be (7 + 204/(-20))*150/(-12). Solve -6*i - r*i + 230 = 0 for i. 5 Suppose 349*y - 356*y = -303 + 86. Solve -22*g - y = 79 for g. -5 Let g be (6/(-8))/(3/(-48)). Suppose -2*a + 0*a + g = 0. Suppose -2*u = -0*u - a. Solve u*y + 12 = -y for y. -3 Let x = 78 + -285. Let l be 6/(-8)*276/x. Solve l = 10*t - 9*t for t. 1 Suppose 2*y + 4*a + 70 = 0, -2*a + 3*a = -5*y - 175. Let g be 111/(-21) - (-8)/28 - y. Solve 2*o - g = -40 for o. -5 Let j(m) = -2*m**3 - 11*m**2 + 2*m - 13. Let b be j(-6). Suppose -b*n + 27*n = 0. Solve n = -7*h - 6 - 1 for h. -1 Let y(c) = -c**3 - 54*c**2 + 116*c + 243. Let v be y(-56). Solve -v*j - 19 - 38 = 0 for j. -3 Suppose 5*c = -5*q + 25, -4*q - 2*c = -q - 15. Suppose -22*n + 27*n + 20 = q*b, 2*b - 8 = 0. Solve -41*x + 46*x - 25 = n for x. 5 Let l be 4*1/(-8) - 148/(-8). Solve 5*a + 17 = -l for a. -7 Suppose -1202 = -4*p + 2*t, -5*p - 49*t + 51*t + 1499 = 0. Solve p*c + 57 = 316*c for c. 3 Let h(c) = -c**3 + 4*c**2 + 12*c + 2. Let g be h(-2). Suppose -118 = u - g*t, 6*u + 235 = 4*u + 5*t. Let q = 125 + u. Solve -19 = q*d - 4 for d. -3 Suppose 0 = -15*c + 191 + 379. Suppose -c = -3*k - 2*l, -2*k + 15 + 13 = 2*l. Solve -8 = k*h - 14*h for h. 2 Suppose -5*s + 7 = -38. Suppose x = 2*p + 2, -5*x + 52 = -5*p + s*p. Let n(t) = 2*t - 2. Let w be n(2). Solve 0 = w*g + 2*g + x for g. -2 Let z(h) = h**3 + 14*h**2 - 29*h + 23. Let l be z(-15). Solve l = 2*r + 247 for r. -7 Let x = -80 + 87. Let b(y) = y**2 - 10*y - 17. Let c(q) = -q**2 + 11*q + 17. Let h(z) = -6*b(z) - 5*c(z). Let u be h(x). Solve -u*a + 8 = -5*a for a. -4 Let m(t) = t**2 + 3*t + 27. Let x be m(-6). Suppose -4*n - 5*b + x = n, 0 = b - 4. Solve -n*z - z = -18 for z. 3 Let r be -132 - (11 - 6 - 6). Let p = r - -131. Solve -2 = -p*o - o for o. 2 Let x = -4814 + 4814. Suppose 4 = -2*g + 24. Solve 0 = g*r + 10 - x for r. -1 Let m(n) = -n + 56. Let j be m(39). Suppose 3 = 5*t - j. Solve -t*o = -2*o for o. 0 Suppose -3*u = 26*u + 907 - 994. Solve u*p + 112 = 19*p for p. 7 Let j be 12/114 - 7684/76. Let x = j + 103. Suppose t = x - 4, -4*t = 4*p - 16. Solve -y + p = 2*y for y. 2 Suppose 12*y - 16*y + 2*f + 22 = 0, 0 = -3*f - 21. Solve 178 = -y*w + 182 for w. 2 Suppose 0 = 2*w - v - 743, 3*w + v - 1087 = -3*v. Suppose 31*r - w = -152. Solve 1 = -4*d - r for d. -2 Let r(k) = 497*k + 1988. Let s be r(-4). Suppose g - 3 = -0. Suppose g = 3*c - 2*c. Solve s = -n + c + 2 for n. 5 Suppose 34 = 2*s + 2*z, 5*s + 4*z = -11 + 93. Suppose 120 = s*k - 2*k. Solve -k = t - 7 for t. -3 Suppose -16*b + 285 - 45 = 0. Let a be -3 - (2 - b - -4). Suppose 4*l + 3*o - 49 = 0, 4*l + 2*o = 3*l + a. Solve -5*t + l = -t for t. 4 Let z(w) = 2*w**2 - 22*w + 3. Let o be z(11). Suppose 0 = -2*j + 3*b + 9, 8*j + 9 = 12*j + o*b. Solve 2*h - j*h = h for h. 0 Let i be ((-4)/(-9))/(3/27). Suppose 8 = -3*p - 2*l + 7*l, -p = i*l - 20. Solve -p*g + 9*g = -10 for g. -2 Let t = -17169 - -17169. Suppose -25 = -3*s - 2*a, 3*s - 3*a - 23 = 2*s. Solve t = -4*f + 31 - s for f. 5 Let h(q) = 17*q**2 - q - 1. Let b be h(-1). Let f = 208 - 205. Suppose v + 10 = -5*x - 4*v, 0 = f*x + 5*v + 10. Solve x = 5*s - b + 2 for s. 3 Let y(d) = -d**3 + 24*d**2 - 19*d + 71. Let p be y(23). Let k = p + -159. Solve -3*r + k*r - 1 = 0 for r. 1 Suppose -7*f + 4*f + 4*m + 10 = 0, 0 = f - 4*m - 6. Suppose 56 = 5*b + 2*q - 25, -2*b + 36 = f*q. Suppose -g = -8 + 3. Solve 10*x - g*x = -b for x. -3 Let v(j) = 3979*j + 3985. Let i be v(-1). Let k be 4/1 + -1 + -1. Solve k = -i*r + 2 for r. 0 Suppose -314*m - 4879 = -321*m. Let z = m - 697. Solve z*f - 2*f = 10 for f. -5 Let x be (6*1/6*6)/2. Suppose 3*r = 2*r + 1. Let a be ((-12)/(r - -2) + x)*-7. Solve a - 1 = 3*k for k. 2 Let f be (52/(-8))/(1/(-2)). Suppose -2*z = -l + 8, 13*z + 100 = 5*l + 18*z. Solve l - f = n for n. 3 Let j(u) = -u**2 - 8*u + 216. Let s be j(9). Suppose 3*q + s = 10*q. Solve 10*n - q = 7*n for n. 3 Suppose -4*r - 116 = -70*u + 68*u, r + 113 = 2*u. Let c = 97 - 153. Let t = c + u. Solve i + 3*i - 20 = t for i. 5 Let i be 330/(-5049)*-17 + (4/18)/(-2). Solve 2*g + i = 1 for g. 0 Let g = 7 - 5. Suppose -3*x + 21 = 3*z, z - x - 5 = -g*z. Let i(c) = -c**2 - 45*c - 292. Let s be i(-8). Solve 0 = s*k - z*k for k. 0 Let t = 9394 - 9336. Solve -14*g + 2 - t = 0 for g. -4 Let y be (48/28)/((-10)/(-35)). Suppose h + 3*k + 15 = 0, 41 = h - y*h + 2*k. Let l be 3/2*3/(h/(-6)). Solve -l*w = w for w. 0 Let f be ((-10)/(-6))/((-6878)/228 - -31). Solve f*a + 640 = 654 for a. 7 Suppose -10*h = -14*h + 132. Suppose -8*w = -h*w + 50. Solve -s = w*s for s. 0 Suppose -2*t + 3*u + 334 = 31, 2*u + 150 = t. Let o = t - 154. Solve -9*l + o = -7*l for l. 1 Let o(m) = m**2 + 29*m + 464. Let a be o(-21). Solve 66*i = 29*i - a for i. -8 Suppose 0 = -17*v + 117 - 32. Suppose -4*o = v*o + 2*o. Solve o*p = 4*p - 12 for p. 3 Let o(k) = 2*k**3 + 22*k**2 + 48*k + 483. Let a be o(-10). Solve a*q - 167*q = -72 for q. -2 Suppose 329*n = -188 + 646 + 8
{ "pile_set_name": "DM Mathematics" }
11))**34/((k*(k*k**(-10)*k)/k)/(k/(k*k**0/k))) assuming k is positive. k**(439/11) Simplify ((q**5/(q*q**(4/5)))**26)**(-44) assuming q is positive. q**(-18304/5) Simplify (u**(2/7)/(u/(u*((u*u*(u/(u/u**(-1/2)))/u)/u)/u)))/((u**(3/5)/u)/u)**(-21) assuming u is positive. u**(-2143/70) Simplify (i**(-4)*i**11)/(i**(2/33)*i/i**(1/9)) assuming i is positive. i**(599/99) Simplify ((t**(-1/17)/(((t**5/t)/t)/t))**(-1/4))**(6/7) assuming t is positive. t**(15/34) Simplify (u**(3/4)*u)/(u/((u**(-1/6)*u)/u*u*u*u))*u**17*u/u**7 assuming u is positive. u**(175/12) Simplify (n*n**(-2/87)/n*n**(2/9)*n*n)/(n*n**(-26)*n**(-2/59)*n) assuming n is positive. n**(403964/15399) Simplify (((c/c**(-1))/c)**29*((c/(c/(c*c*c/(c**0*c))*c))/c)**(-42))**(-5/6) assuming c is positive. c**(-145/6) Simplify y*y*y**17*y*y**(-4)*y**(-4/11)/(y**14/y) assuming y is positive. y**(29/11) Simplify (p**(-10/7)/((p*p*p*p/p**(1/4)*p)/p))**(3/13) assuming p is positive. p**(-435/364) Simplify (d*d*d**(26/5))/d**(-24)*(d/(d/d**(2/71)))/(d**(5/11)/d) assuming d is positive. d**(124076/3905) Simplify o**(-36)/o**(-16)*o**(-1/17)/o**(9/2) assuming o is positive. o**(-835/34) Simplify (p**(-1))**(-1/51)*p*p**17*p/p**(9/2)*p assuming p is positive. p**(1583/102) Simplify (i**7*i**(-6/17))/(((i*i*i**(1/2)*i)/i*i)/(i**7/i)) assuming i is positive. i**(311/34) Simplify ((l**(-3)/l*l*l**(4/7))/((l**(-5)*l)/l*l*l**(1/6)))**0 assuming l is positive. 1 Simplify (q/q**(2/7))**45/(q**11*q/(q*q**(2/41))*q) assuming q is positive. q**(5795/287) Simplify g**15/g**(2/3)*g**(1/14)*g/(g/((g*g**(4/3))/g)) assuming g is positive. g**(661/42) Simplify ((a*a**(-6/5))/a**(-6/7))/(a*a*a/(((a*a**(-2/33))/a)/a*a)*a*a/(a*a**(-1/27))) assuming a is positive. a**(-35764/10395) Simplify (((x**(-1/2)*x)/x*x**2*x)/(x**(-3)/x**(-4/9)))**(-31) assuming x is positive. x**(-2821/18) Simplify ((w**0/w)**(1/12)/(w/(w/w**(-2/3)*w)*w)**(-4))**(-1/21) assuming w is positive. w**(11/84) Simplify (((o*o**(-7))/o)/(o/o**(-31)))/(o**(-36)*o*o**14) assuming o is positive. o**(-18) Simplify ((r**(11/3)*r)/((r/r**15*r)/r))/(r*r**3)**19 assuming r is positive. r**(-172/3) Simplify (((i**(-11)/i)/i**(-4/3))**1)**(2/85) assuming i is positive. i**(-64/255) Simplify (d*d**(-7)/d*(d**(-15)/d)/d)/(d*d*d*d**(-4))**(-2/37) assuming d is positive. d**(-890/37) Simplify ((z/z**(-16/3))/z**(1/5))/(z**(1/8)/(z**(-16/5)/z)) assuming z is positive. z**(217/120) Simplify (m**(-23)/m)**(-7/3)*m**(-26)*m*m*m**(-6)*m assuming m is positive. m**27 Simplify (((q/q**(-2/11))/(q/((q*q**7)/q)))/((q**1/q)/q**(-6)))**(3/7) assuming q is positive. q**(39/77) Simplify (f*f/f**(2/3))**(-45)/(f**(1/12))**19 assuming f is positive. f**(-739/12) Simplify (t*t**(3/5)*t**(-1))/(t/t**2)**8 assuming t is positive. t**(43/5) Simplify (g**4*g/g**(-1/4))/((g/g**13)/g**(-1)) assuming g is positive. g**(65/4) Simplify (k**(1/2)/k)**(2/9)/((k/k**(-16))/(k/(k*k*k/(k*k**(-19))*k))) assuming k is positive. k**(-343/9) Simplify c/(c**(-34)*c)*c**(3/4)/c*(c**18*c)**(-21) assuming c is positive. c**(-1461/4) Simplify ((r**(2/9))**(-9)/(((r**(-4)*r)/r)/((r**(-5)*r*r)/r)))**(-40) assuming r is positive. r**80 Simplify ((f**(-12)/f)/f**(16/5))/((f*f/f**(-6))/f)**(1/33) assuming f is positive. f**(-2708/165) Simplify (u/(u/((u*u/(u/(u/(u*u**10))))/u)))**(-6/25)*(((u*u*u**(-4))/u)/u)**(-1/4) assuming u is positive. u**(17/5) Simplify (t**(-8)/t)/(t*t/((t**(-1/2)/t)/t*t))*t**(2/41)*((t*t*t**(-1)*t)/t*t)/t assuming t is positive. t**(-939/82) Simplify (g*g/(g**(-2/13)*g))/(((g/g**(-21))/g)/g)*g**(2/3)/g**(-18) assuming g is positive. g**(-7/39) Simplify ((z/z**(-13))/z*z**(-10)*(z**(-1)*z)**(-4/13))**(6/5) assuming z is positive. z**(18/5) Simplify (t/(t/(t*t**2)*t)*t*t**(-1/5))/((t**(4/3)/t)/t*t**12*t) assuming t is positive. t**(-143/15) Simplify (o**1/o*o/(o**(-2/11)/o)*(o*o**(-4))/o**(-1))**(-7/2) assuming o is positive. o**(-7/11) Simplify ((b*b**(-2/3)/b*b)/(b*b/b**(-2/21)))/((b/((b/(b*b**21)*b*b*b*b)/b))/(b/(b*b*(b*((b*(b**(-2/5)*b*b)/b)/b)/b)/b*b))) assuming b is positive. b**(-2348/105) Simplify (d/d**9)/d*d**(1/8)*((((d**(2/15)/d)/d)/d)/d*d)/(d*d/(d**(1/5)/d)) assuming d is positive. d**(-349/24) Simplify (r/(r/((r/r**(-24/7))/r))*r*r*((r*r**11/r)/r)/r)/((r/(r*r*r**(2/15))*r*r)/r)**(-2/25) assuming r is positive. r**(37847/2625) Simplify ((h*h**(-3))/h)**24*h/(h*h**(-4/3))*h**(-6/11) assuming h is positive. h**(-2350/33) Simplify c**(-2/55)*c/(c**40/c*c)*c**(-37)/(((c**(1/17)/c*c)/c)/c*c) assuming c is positive. c**(-70214/935) Simplify (w**(-1)/w)/w**(3/11)*w**4*(w**(-5)/w)/w*w assuming w is positive. w**(-47/11) Simplify (q**(-5)*q*q)**(-33)/(q/(q/(q/q**(-1/15)))*((q*q/(q*q**(-18)*q)*q)/q)/q) assuming q is positive. q**(1214/15) Simplify (l**2)**40/((l*l*l*l**(-3)*l*l*l)/(l**(-9)/l)) assuming l is positive. l**67 Simplify (a*(a**(-2/37)/a*a)/a*a*a*a/a**3)/(a/(a**(3/8)/a)*a*(a/(a*a**12))/a) assuming a is positive. a**(3055/296) Simplify r*r/r**15*r*r**(-1/5)*r*r**2*r/r**(-11) assuming r is positive. r**(14/5) Simplify (q**(2/21)/(((q*q**(-2))/q*q)/q)*(q/q**(-2/3))/(q/(q/(q/q**(3/2)))))**(-12/19) assuming q is positive. q**(-358/133) Simplify (((y**(-3)/y*y*y*y*y)**33)**(-3/29))**(-22/3) assuming y is positive. 1 Simplify (x**(2/5))**46/(((x**(13/4)/x)/x*x)/x)**(10/3) assuming x is positive. x**(427/30) Simplify (p**(11/3)/(p**(-7/6)/p))/((p*p**0)/p*p)**(-3/8) assuming p is positive. p**(149/24) Simplify ((q*q*q/((q/q**(-2/7))/q)*q)/(q*q**6))/((q*(q**(9/2)/q)/q)/(q*q/(q**(-8/3)*q*q*q*q)*q)) assuming q is positive. q**(-215/42) Simplify (i/(i**1/i))**26/(((i*i*i*i*i*i**1*i)/i)/(i/(i**6*i))) assuming i is positive. i**14 Simplify t**37/t**(-6)*t*t**(-4)*(t*t*t**(-3/13)*t)/t assuming t is positive. t**(543/13) Simplify (y**(-2/19)*y*y**(-3/11)*y)/((y/((y/(y/(y*y*y*y**16)))/y))/y**(-2/7)) assuming y is positive. y**(26826/1463) Simplify ((a/((a*a/((a*a/a**15)/a))/a))/(a*a**(-34)*a*a*a*a*a))/((a**2/a)/a*a*a**(-32)) assuming a is positive. a**45 Simplify (g**(-8/9)/g*g**(-1/25))/(g**(-2/61)/g*g**(6/5)) assuming g is positive. g**(-28769/13725) Simplify ((p/(p/(p**(-4/19)*p)*p))/p**28)/(p/p**18*p*p*(p*p*p**(-2/43)*p)/p) assuming p is positive. p**(-12389/817) Simplify (m*m*m*m/(m**(-3/13)/m)*m/(m*(m/m**(-20))/m*m))/((m/((m/m**(-3))/m))/(m/(m**5*m))) assuming m is positive. m**(-244/13) Simplify (v/v**(-2/7)*v**(-2/5)*v*v)/((v/v**1)/v**(3/5)) assuming v is positive. v**(122/35) Simplify ((i/(i/(i**(2/13)*i)))/i*i*i**(-1/10))**(-22) assuming i is positive. i**(-1507/65) Simplify (o*(o/(o*o**(2/11)))/o)**(-16)*o**(-3/5)*(o**7*o*o)/o assuming o is positive. o**(567/55) Simplify ((p/(p**(-9)*p))/(p/(p/(p*p**(-2/5))))*(p/(p**1/p))**17)**(-2/41) assuming p is positive. p**(-254/205) Simplify (c**4)**(-3/11)/(c*c**(1/9)*c**0) assuming c is positive. c**(-218/99) Simplify ((u**(-2/5))**(-45)*u**(-4/5)/(u/u**5))**(-17/3) assuming u is positive. u**(-1802/15) Simplify (y**(2/5)/(y**(-1/4)*y)*y**(2/49)/y**(7/6))**10 assuming y is positive. y**(-4339/294) Simplify ((f**(-2/7)*f)**(1/53)*(f/f**(1/2))**(1/5))**(-12/7) assuming f is positive. f**(-2526/12985) Simplify (r/r**(4/3)*r/(r/(r*r/(r/((r/(r**(-13)*r))/r))))*r)/((r/(r/((r/r**(2/11))/r*r)))/(((r*r/(r/(r*r/(r*r**(-1/15)/r))))/r*r)/r)) assuming r is positive. r**(2461/165) Simplify (s**(-8/5)/((s**(-36)*s)/s))/(s/(s/(s/(s*s**(-16)*s)))*s**(-3)/s*s) assuming s is positive. s**(112/5) Simplify ((u*u**(-2/9)*u)/(u/u**(-2/13))*u**5*(u/u**5)/u*u)**(-2/33) assuming u is positive. u**(-380/3861) Simplify (c**(-1/8))**(-16)/((c*c**(-30)/c)/c**(-22)) assuming c is positive. c**10 Simplify ((y/y**(-18)*y)/y**(-5/8))/(y**(1/13)/(y*y*y/(y/(y**(7/6)/y*y))*y)) assuming y is positive. y**(7711/312) Simplify (i**(-2/21))**(8/5)/((i*i**29)/(i/(i**(-23)/i))) assuming i is positive. i**(-541/105) Simplify (l**3/l)**50*l**(-6)/l*l**(-3) assuming l is positive. l**90 Simplify (((a*a/a**(-2))/a**(-10))**49)**(1/20) assuming a is positive. a**(343/10) Simplify (f**(-7/4)/f**(1/4))/(f*f**0)**(-1/14) assuming f is positive. f**(-27/14) Simplify ((y**(-6)/y)/y)**25*y**(-1/32)/((y*y**(2/27))/y) assuming y is positive. y**(-172891/864) Simplify (a**(-3))**(-28)*a**(-2/7)*a*a**(9/4)*a*a assuming a is positive. a**(2491/28) Simplify (((b**(-2)*b)/b)**(-45)*(b*b**(-1))**
{ "pile_set_name": "DM Mathematics" }
{v: 3, y: 1, x: 3}. Give prob of sequence xy. 1/14 Three letters picked without replacement from {a: 1, u: 1, q: 1, t: 1, x: 1, o: 2}. What is prob of sequence oux? 1/105 Two letters picked without replacement from {b: 6, g: 2, d: 2, a: 1, h: 1}. What is prob of sequence hd? 1/66 Calculate prob of sequence vvvj when four letters picked without replacement from pjpvvvvpvvjvjjpp. 1/52 Two letters picked without replacement from {i: 5, v: 1, r: 1, d: 9, z: 4}. Give prob of sequence iv. 1/76 Four letters picked without replacement from {h: 5, o: 5, g: 1, p: 3, x: 2}. What is prob of sequence phop? 5/1456 What is prob of sequence tht when three letters picked without replacement from {a: 4, t: 3, h: 1}? 1/56 What is prob of sequence tga when three letters picked without replacement from {y: 1, n: 1, g: 1, t: 3, a: 1}? 1/70 Calculate prob of sequence eeee when four letters picked without replacement from {e: 9}. 1 Four letters picked without replacement from apswapoosuaw. Give prob of sequence oaau. 1/990 What is prob of sequence lj when two letters picked without replacement from {z: 2, l: 1, j: 1, u: 1}? 1/20 Four letters picked without replacement from fsjxjfjjfsxsjxffxjf. Give prob of sequence jsjf. 15/2584 Three letters picked without replacement from {j: 3, w: 4, i: 7}. What is prob of sequence jij? 1/52 Calculate prob of sequence co when two letters picked without replacement from ocdc. 1/6 Three letters picked without replacement from ynnnuuuyun. Give prob of sequence yun. 2/45 Calculate prob of sequence cff when three letters picked without replacement from {f: 4, c: 6}. 1/10 What is prob of sequence li when two letters picked without replacement from {y: 1, l: 4, n: 6, w: 4, i: 2}? 1/34 Calculate prob of sequence mill when four letters picked without replacement from {l: 4, i: 2, m: 1}. 1/35 Calculate prob of sequence kyn when three letters picked without replacement from nonkkkyykykk. 3/110 What is prob of sequence fst when three letters picked without replacement from {f: 1, c: 1, t: 1, s: 2}? 1/30 What is prob of sequence wy when two letters picked without replacement from {t: 3, s: 3, y: 3, q: 1, w: 1}? 3/110 Three letters picked without replacement from {s: 5, w: 13}. Give prob of sequence sww. 65/408 Three letters picked without replacement from {m: 1, z: 1, c: 1, i: 1, e: 1}. What is prob of sequence zec? 1/60 Calculate prob of sequence lili when four letters picked without replacement from {i: 11, l: 5}. 55/1092 Two letters picked without replacement from {z: 5, a: 15}. What is prob of sequence zz? 1/19 Two letters picked without replacement from siuiiuisiiuis. What is prob of sequence su? 3/52 Calculate prob of sequence iiil when four letters picked without replacement from {i: 4, l: 6}. 1/35 Three letters picked without replacement from megcymmgmmemcfm. What is prob of sequence ecy? 2/1365 Calculate prob of sequence zrhy when four letters picked without replacement from {h: 4, z: 1, q: 3, r: 5, y: 5}. 5/3672 Four letters picked without replacement from {w: 6, k: 4, l: 3}. Give prob of sequence wwkk. 3/143 Two letters picked without replacement from {m: 4, c: 1, l: 4, d: 1, u: 3, t: 2}. What is prob of sequence mm? 2/35 Two letters picked without replacement from {t: 2, w: 2, m: 4, g: 4, s: 2, y: 1}. What is prob of sequence tm? 4/105 Calculate prob of sequence hkiy when four letters picked without replacement from iiiyiiyjykikhk. 9/4004 Three letters picked without replacement from {e: 6, i: 5, o: 2}. What is prob of sequence eoo? 1/143 Three letters picked without replacement from kiiaxikkkgk. What is prob of sequence aii? 1/165 Calculate prob of sequence fjt when three letters picked without replacement from kkkkbkfjfftkkkjf. 1/420 Three letters picked without replacement from mrllllrclxxl. Give prob of sequence rxl. 1/55 Three letters picked without replacement from {r: 5}. What is prob of sequence rrr? 1 Calculate prob of sequence gh when two letters picked without replacement from {h: 1, p: 1, i: 1, e: 4, g: 1, j: 5}. 1/156 Calculate prob of sequence ih when two letters picked without replacement from {i: 8, y: 4, k: 2, x: 3, h: 2, q: 1}. 4/95 Two letters picked without replacement from ekek. What is prob of sequence ee? 1/6 Three letters picked without replacement from xxxxxxxxxnnx. What is prob of sequence xnn? 1/66 What is prob of sequence cc when two letters picked without replacement from vfcccvccccf? 21/55 Calculate prob of sequence wwww when four letters picked without replacement from wggwggwgwggwgwwggwgw. 42/1615 Calculate prob of sequence jh when two letters picked without replacement from hhgjhgghhgh. 3/55 Calculate prob of sequence uxu when three letters picked without replacement from uuxuuuuuuuxuuuuuuuuu. 17/190 Three letters picked without replacement from sctcslscctct. What is prob of sequence clc? 1/66 What is prob of sequence zszs when four letters picked without replacement from zsszszz? 3/35 What is prob of sequence rfwr when four letters picked without replacement from rreeeefrelwe? 1/1980 What is prob of sequence iw when two letters picked without replacement from lllilqwilwgiilqggl? 4/153 What is prob of sequence xss when three letters picked without replacement from {v: 2, x: 5, m: 9, s: 3}? 5/969 Two letters picked without replacement from {k: 1, o: 1, m: 1, z: 1, s: 1}. What is prob of sequence sz? 1/20 What is prob of sequence gjgk when four letters picked without replacement from kxgjj? 0 Calculate prob of sequence lby when three letters picked without replacement from {s: 1, b: 3, l: 3, y: 5, h: 8}. 1/152 Two letters picked without replacement from zdzdd. Give prob of sequence zz. 1/10 What is prob of sequence jx when two letters picked without replacement from {j: 3, x: 1, d: 5}? 1/24 Four letters picked without replacement from {c: 1, j: 7}. Give prob of sequence cjjj. 1/8 Two letters picked without replacement from ssssstxsxxxssstx. Give prob of sequence ts. 3/40 Two letters picked without replacement from {o: 1, m: 2, f: 1, l: 1, n: 1, j: 2}. What is prob of sequence jm? 1/14 Two letters picked without replacement from {x: 1, f: 1, a: 7, i: 2, t: 9}. Give prob of sequence at. 63/380 Three letters picked without replacement from kkzyyykkyskkzizks. Give prob of sequence iyy. 1/340 Two letters picked without replacement from xebueegxeeueex. What is prob of sequence bu? 1/91 Three letters picked without replacement from {q: 1, u: 1, j: 3, z: 4, b: 2}. What is prob of sequence bqu? 1/495 Three letters picked without replacement from eyeyeeyeeyyeeeee. What is prob of sequence eye? 55/336 Two letters picked without replacement from {s: 4, l: 2, a: 4}. What is prob of sequence ss? 2/15 Calculate prob of sequence uc when two letters picked without replacement from cuuuucuccuuc. 35/132 Four letters picked without replacement from dknkkkkdnddk. Give prob of sequence dkdn. 2/165 Two letters picked without replacement from scmdqcbbbbbcb. Give prob of sequence cd. 1/52 Calculate prob of sequence rrt when three letters picked without replacement from zrrrqztqzmzqgzzrzq. 1/408 Three letters picked without replacement from {b: 6, o: 4}. What is prob of sequence bbb? 1/6 What is prob of sequence gc when two letters picked without replacement from ecwgeeeeeeegwe? 1/91 What is prob of sequence ca when two letters picked without replacement from {q: 4, a: 2, z: 1, j: 3, c: 2, l: 3}? 2/105 What is prob of sequence kmkk when four letters picked without replacement from kmkmmrmkmmkrm? 7/715 Two letters picked without replacement from phppmpjmmpm. What is prob of sequence hm? 2/55 Three letters picked without replacement from {x: 4, m: 10}. Give prob of sequence mxx. 5/91 Two letters picked without replacement from zcggxmg. Give prob of sequence zc. 1/42 Calculate prob of sequence yy when two letters picked without replacement from yyossnsnxxonosssoyxy. 3/95 What is prob of sequence biv when three letters picked without replacement from ybibbbjbbvbb? 1/165 What is prob of sequence wr when two letters picked without replacement from {x: 1, w: 1, e: 1, r: 2, n: 1, j: 1}? 1/21 What is prob of sequence oms when three letters picked without replacement from oymsymm? 1/70 What is prob of sequence dssg when four letter
{ "pile_set_name": "DM Mathematics" }
divide 5867370? True Does 19 divide 5305069306? True Is 1109 a factor of 846167? True Is 33625053 a multiple of 1203? True Is 286410588 a multiple of 2260? False Does 173 divide 20660525? True Does 40 divide 46683680? True Is 15 a factor of 6613040? False Is 156738940 a multiple of 10? True Is 29 a factor of 132800567? False Is 11 a factor of 711949192? False Is 409 a factor of 2064136701? True Is 84 a factor of 79680384? True Does 430 divide 90137890? True Does 37 divide 89061151? False Is 46 a factor of 6914019236? True Does 15 divide 1147620? True Is 154545834 a multiple of 4? False Is 27550380 a multiple of 1014? True Is 1757000 a multiple of 500? True Does 278 divide 19474936? False Is 4 a factor of 28342401? False Is 251 a factor of 1570108867? False Does 91 divide 679582725? False Is 21 a factor of 11178443? False Is 1888 a factor of 200463827? False Is 7600458 a multiple of 6? True Does 2364 divide 1195708836? True Is 70230315 a multiple of 2465? True Is 10487565 a multiple of 55? True Is 60 a factor of 221875680? True Is 162516578 a multiple of 289? False Does 13 divide 11945493? False Is 28610082 a multiple of 102? True Is 544192836 a multiple of 3126? True Is 53 a factor of 23356878? False Is 303 a factor of 386253492? True Is 390442276 a multiple of 5? False Is 143209918 a multiple of 16? False Is 2397852 a multiple of 129? True Is 11689389 a multiple of 2521? False Is 10 a factor of 348989931? False Is 231141728 a multiple of 16? True Is 207321129 a multiple of 926? False Does 328 divide 23049506? False Is 23773905 a multiple of 459? True Is 25067448 a multiple of 85? False Does 583 divide 208371779? True Does 1119 divide 32739451? False Is 7138 a factor of 41983301? False Does 191 divide 10609477? True Does 241 divide 31413145? True Does 30 divide 438721560? True Does 14 divide 151935336? True Does 2209 divide 82461863? False Does 2213 divide 21443667? False Is 173 a factor of 325037401? False Does 245 divide 14884816? False Is 67 a factor of 96585040? False Is 138321497 a multiple of 34? False Is 151 a factor of 952389152? False Is 10 a factor of 232379490? True Is 32060351 a multiple of 12? False Is 124781690 a multiple of 470? False Is 218973690 a multiple of 1170? True Is 1084195584 a multiple of 4146? True Does 213 divide 92627097? True Is 110333993 a multiple of 21? False Is 31 a factor of 19854437? False Is 9 a factor of 302745175? False Does 4 divide 83580968? True Does 11 divide 361745813? True Is 48495033 a multiple of 123? False Does 241 divide 7396531? True Is 45 a factor of 811363245? False Does 445 divide 3752719509? False Does 2253 divide 103586181? True Is 30487345 a multiple of 23? False Is 41 a factor of 1043153290? False Does 6543 divide 3309535015? False Is 44167338 a multiple of 241? False Is 32885784 a multiple of 24? True Does 5 divide 3829505? True Does 3083 divide 92132063? False Is 294127580 a multiple of 125? False Does 229 divide 190484261? True Does 23 divide 331755611? True Is 25352040 a multiple of 40? True Is 486810571 a multiple of 13? True Is 14 a factor of 59970665? False Is 3413844 a multiple of 36? True Is 4925691804 a multiple of 682? True Is 18 a factor of 109281252? False Is 724172434 a multiple of 1058? True Does 25 divide 5202802? False Is 3742 a factor of 1704671496? False Does 24 divide 79880904? True Is 10 a factor of 439265692? False Is 2247679446 a multiple of 857? False Does 20 divide 527361443? False Is 291 a factor of 50658735? True Does 180 divide 716769598? False Does 613 divide 13487454? False Is 99442554 a multiple of 51? True Does 54 divide 2372792292? True Is 149 a factor of 2663208567? True Is 78 a factor of 80084177? False Is 1803 a factor of 2069218359? True Is 202280754 a multiple of 2067? True Is 71 a factor of 263318410? True Is 54 a factor of 8968050? True Does 1649 divide 93796769? True Is 7945677 a multiple of 369? True Is 101 a factor of 46417378? True Is 138 a factor of 468139173? False Does 23 divide 506431687? True Is 28 a factor of 23233160? False Is 332011339 a multiple of 361? True Is 72 a factor of 956813904? True Is 3436 a factor of 21090241? False Is 87292527 a multiple of 147? False Is 1680993226 a multiple of 506? True Is 25 a factor of 1241865125? True Is 13 a factor of 14283936? False Does 45 divide 359637081? False Is 93 a factor of 15796268? False Is 2107 a factor of 521731126? True Is 14 a factor of 108632463? False Does 155 divide 4504209? False Does 70 divide 44434223? False Is 383 a factor of 3302107270? True Does 2894 divide 171637352? True Is 156175586 a multiple of 68? False Is 88 a factor of 1287254851? False Is 52249120 a multiple of 22? True Is 2 a factor of 264001134? True Is 880759608 a multiple of 46? True Does 1231 divide 69899873? True Does 3 divide 3508190? False Is 14 a factor of 783707522? False Is 12974650 a multiple of 13? True Does 1376 divide 177311360? True Is 337 a factor of 243130272? False Is 13 a factor of 386213389? False Is 154514087 a multiple of 13? True Is 571 a factor of 3743221905? True Does 4 divide 15995430? False Is 409 a factor of 2599438355? True Is 418344482 a multiple of 429? False Is 103319304 a multiple of 1038? False Does 4 divide 33186105? False Does 5 divide 15050355? True Is 115 a factor of 43785330? True Does 297 divide 1753679565? True Is 93270570 a multiple of 1179? False Does 17 divide 2067710? True Does 1797 divide 180061197? True Is 178506090 a multiple of 67? True Is 55737000 a multiple of 9? True Does 2005 divide 1822516762? False Is 287880875 a multiple of 245? False Is 582 a factor of 22883172? False Does 253 divide 45941511? True Is 927192272 a multiple of 471? False Does 280 divide 284753803? False Is 90713010 a multiple of 26? False Is 5725118 a multiple of 564? False Does 925 divide 31433350? True Is 145878820 a multiple of 820? True Is 6705369 a multiple of 11? True Is 63 a factor of 13899627? True Does 18 divide 51362088? False Is 4341 a factor of 91685708? False Is 24 a factor of 81834117? False Is 13 a factor of 52153443? False Is 72 a factor of 4248787? False Is 169691471 a multiple of 3488? False Is 66421890 a multiple of 1479? True Does 116 divide 337794474? False Does 50 divide 361897600? True Is 1140740976 a multiple of 1714? False Is 164265932 a multiple of 932? True Is 1483627314 a multiple of 91? False Is 1496948654 a multiple of 32? False Does 3248 divide 14830885? False Does 21 divide 98783185? False Does 546 divide 1168513? False Is 1258235121 a multiple of 59? True Is 1608922476 a multiple of 9? True Is 22 a factor of 23049336? False Does 18 divide 341272486? False Is 10933874 a multiple of 7? True Does 701 divide 380692070? True Is 579 a factor of 3203777805? True Does 24 divide 1081049244? False Is 44 a factor of 1665859295? False Is 19 a factor of 2808079160? True Is 2826 a factor of 106081850? False Is 17 a factor of 251538154? True Is 3045919947 a multiple of 813? True Is 16100159 a multiple of 311? True Is 8538829 a multiple of 806? False Does 1645 divide 12755986? False Is 76 a factor of 350624119? False Is 122289405 a multiple of 7? True Does 113 divide 4949852? True Is 1415016198 a multiple of 29? True Is 52211736 a multiple of 148? True Is 145 a factor of 39163340? True Does 3 divide 21807608? False Is 56 a factor of 24575656? True Does 11 divide 122610554? True Does 24 divide 12446832? True Is 20 a factor of 3673189141? False Does 375 divide 91651070? False Does 67 divide 220311611? True Is 60 a factor of 266450109? False Does 2447 divide 14684175? False Is 8 a factor of 75708776? True Is 161912790 a multiple of 684? False Is 29899009 a multiple of 4? False Is 7 a factor of 35266724? False Is 68 a factor of 87723868? False Is 5329954 a multiple of 87? False Is 1919 a factor of 42053323? False Is 13957624 a multiple of 8? True Is 259 a factor of 156338098? True Is 2791 a factor of 22101388? False Is 55510847 a multiple of 406? False Is 1611470 a multiple of 5? True Is 1061 a factor of 2941342396? True Is 12 a factor of 637718529? False Does 90 divide 112988148? False Is 1026 a factor of 1302513156? True Does 17 divide 2306713806? False Is 5312 a factor of 23755418? False Is 153032888 a multiple of 126? False Is 32 a factor of 84096768? True Does 103 divide 18
{ "pile_set_name": "DM Mathematics" }
- 15 = -57. Suppose -76 = -a*p + 113. Calculate the highest common divisor of p and 9. 9 Let t be 9 + 57 - 2/1. Suppose 3*q + 0*z = -4*z + 300, z - 195 = -2*q. Calculate the greatest common divisor of q and t. 32 Let o be 1*3 + 1 + 0. Suppose -5*r + 6*j - 11*j = -195, -2*j - 10 = 0. What is the greatest common divisor of r and o? 4 Let w be 24/(-2) + -9*6/(-18). Let m be (440/12)/(3/w*-1). What is the highest common divisor of m and 10? 10 Suppose -5*s + 60 = -5*p, 18 = -5*p + 43. What is the greatest common divisor of 1819 and s? 17 Suppose 3298 = 5*g - 0*n - n, -2*g - 3*n = -1326. What is the highest common divisor of g and 30? 30 Let i(a) = a + 22. Let f be i(-20). Suppose 0 = 4*n - f*o - 46, 3*o = 3*n + 2 - 29. What is the greatest common divisor of n and 98? 14 Let f(s) = s**3 - s**2 + 3*s + 5. Let j be f(0). Suppose 4*n - g - 231 = -52, -2*n + 95 = j*g. What is the greatest common divisor of 10 and n? 5 Suppose 3417 = 35*d + 477. What is the highest common divisor of d and 420? 84 Suppose 0 = 5*q + 20, 2*q + 233 - 169 = 4*m. Let u be ((-1820)/(-30))/((-1)/(-3)). Calculate the highest common factor of u and m. 14 Let m(t) = -t**3 + 8*t**2 - 4*t. Let c be m(7). Let j = c - 20. Calculate the greatest common factor of j and 9. 1 Let c = 44 - 7. Let j = 47 - c. What is the highest common divisor of j and 40? 10 Suppose 2*n = -s + 537, -3*n + 4*n = 3*s - 1590. What is the greatest common divisor of s and 9? 9 Suppose -4*m = -4, m = 4*f - 8 + 1. Let g(i) = -3*i**2 + 3*i + i**3 - 4 + f + 0*i**2. Let z be g(5). Calculate the greatest common factor of z and 7. 7 Let f(n) = 6*n + 91. Let i be f(-10). Let p(y) = 280*y**2 - y. Let w be p(1). Calculate the highest common factor of w and i. 31 Let w(b) = b**2 + 3*b + 15. Let f be w(5). Let n = f - 29. Calculate the highest common divisor of n and 52. 26 Let v(x) = -x**2 + 11*x + 14. Let r be v(9). What is the highest common factor of 56 and r? 8 Suppose -o - o = -8, -2*d = 4*o - 20. Suppose -6*q + d*q + 60 = 2*y, -3*q = -2*y + 67. What is the greatest common divisor of 352 and y? 32 Let o be 2 + (-13)/4 + ((-810)/(-40) - 2). Suppose -z + 0 = -17. What is the highest common factor of o and z? 17 Suppose 0 = 4*t - 20, -1324 = -u + 14*t - 18*t. Calculate the greatest common factor of u and 8. 8 Suppose -3*g + 3 = -w, w + 1 = 4. Let j be (-2211)/(-268) - (-2)/(-16)*g. What is the highest common divisor of j and 20? 4 Suppose o - 3 - 1 = 0. Let q be ((-11)/o)/(2/(-8)). Let y = -9 + 20. Calculate the highest common factor of q and y. 11 Let s = -7 + 7. Let d be s - -3*(15 + -4). Calculate the highest common factor of 3 and d. 3 Suppose 2*y - m + 475 = 4*m, 3*y - 4*m + 695 = 0. Let r be (-304)/(-30) + 30/y. Calculate the highest common divisor of r and 55. 5 Suppose -3*w = 5*b - 5*w - 24, -33 = -4*b - 3*w. Let q be (-12)/(-2)*2/4. Suppose -45 = q*m - 8*m. Calculate the highest common factor of m and b. 3 Suppose -3*v = q - 206, 5*v - 3*q - 166 = 182. Let r(s) = 124*s - 450. Let j be r(4). What is the highest common divisor of v and j? 23 Let i(l) = l**3 - 6*l**2 + 32. Let n be i(6). What is the highest common factor of 128 and n? 32 Suppose 0 = -2*f - 2*f - 12. Let h be (-3 - (f + 4)) + 39. Let a be ((-450)/h)/((-2)/28). What is the highest common divisor of 20 and a? 20 Let r be 5841/18 + (-5)/2. What is the highest common divisor of r and 46? 46 Let o be 4/38 + (-22550)/(-209). What is the greatest common divisor of o and 378? 54 Let u be ((-4)/6)/(-1 - 413/(-420)). Calculate the highest common divisor of 1240 and u. 40 Let p = -83 + 167. Suppose 0*a - 5*f - p = -2*a, f - 108 = -2*a. What is the greatest common factor of 13 and a? 13 Suppose 0 = -3*g, -4*p + g + 77 = -52 - 31. Suppose -4*b + 76 = 2*o, -b - 14 = -2*b - 3*o. Calculate the highest common factor of b and p. 20 Suppose -2*j - 12*m + 9*m = -81, 0 = m + 3. What is the greatest common divisor of j and 243? 9 Suppose 0*i = -4*i + 4*p + 56, i + 2*p + 1 = 0. Let x be -2*(1 + 83/(-2)). What is the greatest common divisor of i and x? 9 Let w = 2614 - 2527. Suppose 0 = -2*r - r + 174. Calculate the highest common factor of w and r. 29 Let f = 897 - 882. Calculate the highest common factor of f and 465. 15 Let s = -1794 + 1814. Calculate the highest common divisor of 820 and s. 20 Suppose 16*o - 150 - 26 = 0. Suppose 7*q = 10 + o. Suppose -l - m + 4*m - 3 = 0, -2*l + m = -4. Calculate the greatest common factor of l and q. 3 Let v be 3 - (2 - 1) - -1. Let u = v + 0. Suppose -3*t + 4*b + 0*b + 76 = 0, t = -2*b + 22. Calculate the greatest common divisor of t and u. 3 Suppose -h = -2*h. Suppose 0 = u - h*u - 12. Let m be 786/u - (-2)/4. What is the highest common divisor of 44 and m? 22 Let f be (0 - (-4)/14) + 54161/287. What is the greatest common factor of 7 and f? 7 Suppose -5*c + 513 = 73. Let n be -10*(-4)/10 + 7. Calculate the greatest common divisor of c and n. 11 Let j be 2/(-3) - (-910)/15. Suppose 3*h + 2*h = 5*c - 80, h + 4 = 0. What is the greatest common factor of j and c? 12 Let u(b) = 3*b**2 + b - 2. Let j be u(-4). Let o be (-3)/12 - (-1948)/(-16). Let p = o - -227. What is the greatest common divisor of j and p? 21 Suppose 15 = -3*c, 31 = 2*x + 2*c - 11. What is the greatest common factor of 585 and x? 13 Let j be -4 + (10 - 4)*-1. Let t be 1 - j/(3 - 1). Let s be (-80)/t*(-15)/10. What is the highest common factor of 60 and s? 20 Let l(t) = t**2 + t - 3. Let x be l(-6). Let b be (-8)/28 + (-23)/(-7). Let i be (9/(-3))/(b - 4). Calculate the highest common factor of i and x. 3 Let g = -2195 - -3626. Calculate the greatest common factor of g and 27. 27 Suppose 9*i = 14*i - 510. Let t = i + 129. Calculate the highest common factor of 21 and t. 21 Let w = 2612 + -2589. Calculate the greatest common factor of w and 460. 23 Let c be (-20)/(-12) - 2/(-6). Let r(u) = -4*u - 10. Let d = 12 + -20. Let f be r(d). What is the highest common divisor of f and c? 2 Suppose 4*m - 39 = 4*s + 9, 0 = 4*m - 5*s - 45. Suppose -r + m = -75. Suppose 2*c = -c + r. Calculate the greatest common divisor of 10 and c. 10 Let y be 3 - 2/2*2. What is the greatest common divisor of y and 5? 1 Let b be 2/(-1*(-1 + 0 + 0)). Suppose m = -3*c - 0*m + 31, 6 = b*c - 3*m. What is the highest common divisor of 45 and c? 9 Let f = 170 + -125. Let z be 2/15 - (-1614)/f. Calculate the greatest common factor of z and 324. 36 Suppose -3*s = 2*r - 1 - 13, -2*s + 13 = 5*r. Let c be (0 + 3)*(-3 + s)*24. What is the greatest common divisor of c and 54? 18 Let w be (1 + -2)/((-3)/12). Let i(q) = q - 1. Let z(n) = 2*n + 8. Let s(h) = 4*i(h) - z(h). Let m be s(8). What is the highest common divisor of m and w? 4 Suppose -23*w - 52 = -4*t - 18*w, -w = 5*t - 94. Calculate the greatest common factor of t and 74. 2 Suppose 0 = 13*l - 47 - 18. Suppose 290 = -r + 2*r - h, -l*h + 615 = 2*r. What is the greatest common factor of r and 118? 59 Suppose -15 = 3*w + 984. Let u = w - -542. Calculate the greatest common factor of 19 and u. 19 Suppose -n + 15 = 2*p, 10*p = 3*n + 5*p - 67. Let w(f) = 7*f**2 + 28*f - 14. Let l be w(-7). Calculate the greatest common divisor of n and l. 19 Let s(y) = -y**2 - 4*y. Let c be s(-4). Let a be (-4 + 8 - 0) + c. Suppose a*t - 5*t = 2*x - 68, -2*t - 4 = 0. What is the highest common divisor of 7 and x? 7 Suppose 3 = 52*s - 55*s, 2*t - 535 = 3*s. Calculate the highest common divisor of t and 70. 14 Let o(i) = -16*i + 163. Let c be o(8). Let p(j) = -j**2 + 5*j + 1. Let t = 9 - 5. Let d be p(t). Calculate the highest common factor of c and d. 5 Let x(y) = y**3 + 11*y**2 + 11*y - 24. Let q be x(-8). Calculate the greatest common factor of 280 and q. 40 Let k(p) = 21*p + 490. Let c be k(-14). What is the highest common divisor of 245 and c? 49 Let m be (-65 + 5)/((-12)/18). What is the highest common factor of 20 and m? 10 Suppose 6865 = 43*n - 4014. Calculate the highest common factor of n and 23. 23 Suppose h - 23*h + 1078 = 0. What is the greatest common factor of 147 and h? 49 Suppose -33 - 15 = -8*n. Calculate the highest common factor of n and 186. 6 Let h = -75 + 77. Suppose -5*j + 5 = -10. What is the highest common divisor of j and h? 1 Suppose -7*g = -886 - 1746. What is the highest common divisor of 47 and g? 47 Let c be 3875/30*-2*-3. Let u = c - 415.
{ "pile_set_name": "DM Mathematics" }
ent from cfucaca. 1/7 Three letters picked without replacement from eeererrerceer. What is prob of sequence cre? 35/1716 Two letters picked without replacement from {a: 2, m: 1, w: 4, c: 1, i: 1, t: 3}. What is prob of sequence ct? 1/44 Two letters picked without replacement from {k: 3, s: 1, i: 1}. Give prob of sequence ki. 3/20 What is prob of sequence ppyy when four letters picked without replacement from {y: 5, p: 3, l: 4}? 1/99 Two letters picked without replacement from {b: 7, c: 1, w: 2, g: 7}. What is prob of sequence gb? 49/272 Four letters picked without replacement from {a: 6, y: 3, s: 1, b: 2}. What is prob of sequence aayy? 1/66 Calculate prob of sequence hmzm when four letters picked without replacement from {u: 1, z: 1, f: 1, h: 1, q: 2, m: 2}. 1/840 Three letters picked without replacement from {b: 4, t: 2, v: 6}. What is prob of sequence vbv? 1/11 Calculate prob of sequence qq when two letters picked without replacement from {q: 6}. 1 Four letters picked without replacement from {t: 7, l: 2, m: 2}. What is prob of sequence ttlm? 7/330 Two letters picked without replacement from {b: 1, n: 2, p: 12, l: 4}. Give prob of sequence bl. 2/171 Calculate prob of sequence ld when two letters picked without replacement from {b: 2, l: 7, d: 7, z: 1}. 49/272 Three letters picked without replacement from jgzjza. Give prob of sequence azg. 1/60 Four letters picked without replacement from {h: 1, u: 1, e: 1, k: 1, s: 1}. Give prob of sequence skeh. 1/120 Four letters picked without replacement from {g: 17, i: 3}. Give prob of sequence iggi. 4/285 Four letters picked without replacement from {l: 6, x: 2, w: 3, p: 1}. Give prob of sequence wwlx. 1/165 Four letters picked without replacement from {n: 3, s: 5, l: 3}. What is prob of sequence slsl? 1/66 Four letters picked without replacement from mmmffmfmmqmqmeqmmmfm. What is prob of sequence eqqm? 1/1615 Three letters picked without replacement from {w: 2, a: 3, y: 3}. Give prob of sequence awa. 1/28 Three letters picked without replacement from {q: 1, m: 2, w: 1, x: 2, p: 1}. What is prob of sequence qmw? 1/105 What is prob of sequence bp when two letters picked without replacement from njbyp? 1/20 Calculate prob of sequence ssom when four letters picked without replacement from {o: 13, s: 5, m: 2}. 13/2907 Two letters picked without replacement from {y: 1, n: 1, e: 2}. Give prob of sequence ye. 1/6 What is prob of sequence li when two letters picked without replacement from {i: 5, l: 3}? 15/56 Calculate prob of sequence yr when two letters picked without replacement from {r: 1, v: 2, y: 1, f: 1, p: 2}. 1/42 Two letters picked without replacement from trtrjrtrrrtrj. Give prob of sequence jj. 1/78 Calculate prob of sequence xmxx when four letters picked without replacement from mxjxmxxa. 1/35 Calculate prob of sequence nn when two letters picked without replacement from mmkmnmnnmmmmmmmmm. 3/136 Calculate prob of sequence dd when two letters picked without replacement from {d: 3, y: 1, r: 1}. 3/10 Calculate prob of sequence vi when two letters picked without replacement from vixizv. 2/15 Two letters picked without replacement from {q: 4, i: 1, o: 2}. What is prob of sequence iq? 2/21 Calculate prob of sequence mu when two letters picked without replacement from vgugdduvgmld. 1/66 What is prob of sequence xqqb when four letters picked without replacement from {x: 1, y: 1, q: 1, b: 2}? 0 Calculate prob of sequence qzz when three letters picked without replacement from {y: 4, z: 2, q: 1}. 1/105 What is prob of sequence ppo when three letters picked without replacement from {o: 12, p: 3}? 12/455 What is prob of sequence zv when two letters picked without replacement from zvvezzvzzzzzzvvvzvz? 77/342 Three letters picked without replacement from twww. Give prob of sequence tww. 1/4 Two letters picked without replacement from rfffrrrr. What is prob of sequence fr? 15/56 What is prob of sequence aal when three letters picked without replacement from alcca? 1/30 Four letters picked without replacement from {u: 1, x: 8, h: 4, v: 2, j: 1}. What is prob of sequence jhuh? 1/3640 What is prob of sequence nn when two letters picked without replacement from {u: 5, z: 2, n: 9}? 3/10 What is prob of sequence px when two letters picked without replacement from {p: 1, v: 4, y: 7, n: 4, x: 1}? 1/272 What is prob of sequence vss when three letters picked without replacement from {v: 1, i: 11, s: 6}? 5/816 Two letters picked without replacement from {g: 10, c: 1, a: 2, n: 1}. What is prob of sequence aa? 1/91 Calculate prob of sequence kkm when three letters picked without replacement from mkmkmmmm. 1/28 Four letters picked without replacement from {t: 3, q: 1, j: 3, k: 3}. Give prob of sequence kjqt. 3/560 Calculate prob of sequence zllz when four letters picked without replacement from ulzlzzuzuuulll. 10/1001 What is prob of sequence yis when three letters picked without replacement from {y: 2, s: 1, i: 1}? 1/12 Two letters picked without replacement from tlkxkttktxttlckt. Give prob of sequence xk. 1/30 Four letters picked without replacement from xaxaxxsxaaaxssxxs. What is prob of sequence xass? 1/119 Two letters picked without replacement from {k: 11, z: 1, e: 7}. What is prob of sequence ee? 7/57 Four letters picked without replacement from hqqohhqqohq. What is prob of sequence hhqq? 1/33 Three letters picked without replacement from ppppp. What is prob of sequence ppp? 1 Calculate prob of sequence epp when three letters picked without replacement from eeeepeepee. 1/45 Calculate prob of sequence kd when two letters picked without replacement from {v: 5, k: 3, d: 2, r: 2}. 1/22 Two letters picked without replacement from {n: 7, y: 3, b: 1, i: 3, q: 4}. Give prob of sequence qn. 14/153 What is prob of sequence wf when two letters picked without replacement from fwfwwfffwf? 4/15 Three letters picked without replacement from vvt. What is prob of sequence vtv? 1/3 Three letters picked without replacement from vttptvppttpv. What is prob of sequence ttp? 2/33 Two letters picked without replacement from {p: 1, h: 1, q: 4, z: 1, a: 1}. What is prob of sequence qq? 3/14 Calculate prob of sequence eo when two letters picked without replacement from eox. 1/6 Four letters picked without replacement from {s: 6, f: 12}. Give prob of sequence ssff. 11/204 Calculate prob of sequence ozao when four letters picked without replacement from {o: 5, a: 3, r: 1, z: 4}. 2/143 Two letters picked without replacement from {i: 1, e: 1, z: 2, h: 2, s: 2}. What is prob of sequence hi? 1/28 Two letters picked without replacement from ommmumumaoommomyouo. Give prob of sequence oy. 1/57 Four letters picked without replacement from sssaaaassusasssas. What is prob of sequence uaua? 0 Two letters picked without replacement from {y: 1, f: 1, o: 8, a: 1, m: 2, q: 2}. Give prob of sequence fy. 1/210 Three letters picked without replacement from {l: 4, b: 11, y: 1, z: 1, q: 2}. What is prob of sequence bqz? 11/2907 What is prob of sequence iid when three letters picked without replacement from {i: 4, d: 6}? 1/10 What is prob of sequence sspd when four letters picked without replacement from dysddfsypsg? 1/440 Two letters picked without replacement from qyyqyy. What is prob of sequence qq? 1/15 Calculate prob of sequence ghh when three letters picked without replacement from {g: 1, h: 14}. 1/15 Four letters picked without replacement from {q: 5, w: 15}. Give prob of sequence wwww. 91/323 Two letters picked without replacement from fiaaetafeaddif. What is prob of sequence ti? 1/91 Three letters picked without replacement from nnhnzzznzhdgzdzgz. Give prob of sequence nhd. 1/255 What is prob of sequence cre when three letters picked without replacement from nreacnrccoen? 1/110 Four letters picked without replacement from ffffwwwwfp. Give prob of sequence pfff. 1/84 Four letters picked without replacement from eccceeecceeeeceecccc. What is prob of sequence eeee? 14/323 What is prob of sequence nnh when three letters picked without replacement from {n: 2, h: 1, u: 2, k: 2, o: 2, a: 3}? 1/660 Calculate prob of sequence ltlt when four letters picked without replacement from ltlgflltlflll. 14/2145 Calculate prob of sequence kjkc when four letters picked with
{ "pile_set_name": "DM Mathematics" }
osest to 2 in 0, 5, j, -0.047? j Let z = 32 + -12. Let r be (-2 - -26)*(-15)/z. Let u = r + 18. Which is the closest to 0? (a) u (b) 2/13 (c) 1/8 a Suppose -18 = -3*p - n + 4*n, 4*p + 3*n = -4. Let x = -0.97 - -1.17. Let q = 2351 + -2350. Which is the closest to p? (a) q (b) 4 (c) x a Let i(w) = -12*w - 21. Let y be i(5). Let t = 230 - y. Let o = t - 3113/10. Which is the nearest to -1/3? (a) 0 (b) -2/13 (c) o c Suppose 2*u + 4*f = -40, -25 = f + 4*f. Let k = 16 - 8. Let z = u + k. What is the nearest to 0.2 in -0.4, -2/7, z? -2/7 Let r(w) = -w**3 - 6*w**2 - 10*w - 7. Let g be r(-4). Let y = 2 + -2.3. Let q = 3318.97 + -3319. What is the closest to 0 in g, y, q? q Let s = 11083 + -11089. What is the nearest to 0.4 in s, 34, -4? -4 Let u = 26.701 - 26.901. Which is the closest to u? (a) -0.2 (b) 9/7 (c) -3 a Let d be ((-546)/26)/3 + 45/7. What is the closest to 1/21 in -5, -3, -2, d? d Let t = -46 - -44. Suppose 28*h - 37 = 47. Which is the nearest to 13? (a) -4 (b) -2/7 (c) h (d) t c Let g = 647.4 - 646.2. Let w = -0.23 + -1.47. Let m = g + w. Which is the nearest to -1? (a) 3 (b) m (c) -3 b Let x be 21/18 - 144/216. What is the nearest to 4 in x, 3, 2, -10? 3 Let y = 216.62 + -215. Let g = 1.22 - y. Which is the closest to 1/3? (a) 4 (b) g (c) -0.1 c Let q = 9.824 + 4.176. Which is the closest to -1/4? (a) 3 (b) q (c) 0.4 (d) 1 c Let k = 1155 - 1155.4. Let v = 257/170 - 1/85. Let g be -10*-1*(-2)/(-25). What is the closest to 2/3 in v, k, g? g Suppose -21 = 3*m - 4*n, 4*n + 26 = -m + 35. Let w be 20/m*15/(-25). Let o be 2/3 - 26/21. Which is the closest to 0.01? (a) o (b) w (c) -0.4 c Let j = -1 + -13.5. Let t = 14.5 + j. Which is the nearest to t? (a) 0.2 (b) -1 (c) -0.4 a Let y = 3451 - 3451. What is the nearest to y in 4/7, -0.1, -0.3, 13? -0.1 Let j be 42/110 - (-106)/(-583). What is the closest to 0.044 in 1, 0, j, 2/15? 0 Let k(u) = 4*u**3 - 27*u**2 - 6*u - 10. Let i be k(7). Let j be 12/28*(-7)/i. What is the nearest to 1/19 in -4, 0.1, -0.5, j? 0.1 Let x = 865/9 + -96. Let n = 4242.1 + -4242. Which is the nearest to -1/9? (a) n (b) 4 (c) x a Let j = -6.1 - -1.1. Let d = 21933.3 - 21933.3. What is the closest to -2/3 in 2, d, -16, j? d Let m(l) = 2*l - 12. Let h be m(6). Let k = 237.9 + -238. Which is the closest to h? (a) k (b) -4 (c) -2/7 (d) -3 a Let n = 555 + -512.3. Let v = -43 + n. Let j(d) = -d**2 - d - 1. Let q be j(-1). Which is the nearest to q? (a) v (b) 0 (c) 2/13 a Let h(x) = 2*x + 1. Let j be h(-1). Let t = -115280 + 345842/3. Let g be 2/(-1 + (-3 - -2)). What is the closest to g in -9, j, t? j Let l = 30 + -35. Let r(i) = i**3 + 6*i**2 + 7*i + 7. Let f be r(l). Let m be -5*f/((-420)/8). Which is the nearest to -2/5? (a) 1/3 (b) m (c) -4 b Let m = 5.5 + -6.9. Let i = 462 + -464. Which is the nearest to i? (a) 5 (b) 1/5 (c) m c Let r = 0.01 - 0.06. Let d = 5.05 + r. Let u be (-72)/90 - 13/(-10). What is the closest to -4 in u, d, 5/2? u Suppose 0 = -8*o + 19*o. Let t = 0.021 - 17.021. Let i = t + 20. What is the nearest to i in o, -1/7, 7? o Let t = -4 + 5. Let j be 46/(-8) + ((-12)/40)/((-7)/140). Which is the nearest to t? (a) 3 (b) j (c) 2/11 (d) 1 d Let x be 3/((-2)/2) + 5 + (-136)/85. What is the nearest to -2/187 in 1, x, -0.2? -0.2 Let f = 222.029 - 222. Let k = -0.119 + f. What is the nearest to -2 in -1, -4, 5, k? -1 Let j = 5 - 5.4. Let f be 224 + -219 - 94/18. What is the closest to -0.1 in 1/9, j, f? f Let i = 0.4863 - 0.0863. Let o = -17 - -31. Let q be 16/(-42) + (-4)/o. Which is the closest to 2/5? (a) i (b) q (c) -4 a Let h = -6309.979 + 6310. What is the nearest to -2/3 in -1/7, -5, 1, h? -1/7 Let f = 154 + -1076/7. Let o = 11264 - 11264.4. Which is the nearest to f? (a) o (b) -0.1 (c) 2/5 c Let g = -1.35 + -0.38. Let l = 0.83 + g. Let x = -24 - -25. What is the nearest to x in l, 4, 0.5? 0.5 Let l = -35050 + 35050.9. What is the nearest to l in 2, 24, 0.5? 0.5 Let g = 5/4 - 3/4. Let y = -26/4969 - 9652/54659. What is the closest to g in 0.4, y, -0.5? 0.4 Let p = 2387 - 2382. What is the nearest to -5 in p, 0.1, 3? 0.1 Let t(v) = -v**2 - 101*v + 2. Let x be t(0). What is the closest to 1/4 in x, 47, 5/4? 5/4 Suppose 2*o + 3*l - 1 - 8 = 0, 0 = -4*o - 5*l + 23. Suppose -o = 7*i - 4*i. Let m = -55 - -331/6. Which is the nearest to i? (a) -0.1 (b) -2/9 (c) m b Let z be ((-4)/(-15))/(12/(-10)). Let u = -306723 + 306727. What is the closest to u in z, -5, 1? 1 Let v = -5006/3 - -1668. Let g be -11*(-1)/9 - 1. Let s be -1*3/14 - 2/(-4). What is the nearest to 0 in s, v, g? g Let i = -51 - -208. Let p = i - 157.4. Which is the closest to -1/3? (a) 0.5 (b) p (c) 7 b Let y = 1/5 - -3/10. Let o be ((-2)/11)/(820/55 + -13 + -3). Which is the closest to y? (a) -1 (b) 6 (c) o c Let k be (-16 - -18)*(1 + -3) + (0 - 1). What is the closest to 0 in k, -4, 5/26? 5/26 Let u = 266 + -423. Let k = 159 + u. Which is the nearest to -4.5? (a) -2 (b) k (c) -4 c Let z = -5 + 5.01. Let w = 79 + -80. Let f = -34.2 - -34.1. What is the closest to w in 5, z, f? f Let p = -14 - -24. Let l = p - 9.7. Let n(q) = -5*q + 30. Let x be n(7). What is the closest to x in -2, 3, l? -2 Let a = -1543.07 + 1543. What is the closest to 15 in -3, a, -0.3? a Let w = 4 - 3.8. Let z = -5998/5 + 1199. Which is the nearest to 1? (a) z (b) -3 (c) w c Let y = -1935383/111 + 17436. Let g = y - 135/1258. Let h = 5/68 + g. Which is the closest to 1? (a) 5 (b) h (c) -2/3 b Let i = 180 + -156.8. Let l = 26.2 - i. What is the closest to 0.1 in 0, l, -1/4? 0 Let n be (0 - 1 - -4) + -5. Let r = -11739 - -11726. Which is the nearest to 1/4? (a) r (b) 0 (c) n b Let q(a) = -a**3 - 5*a**2 - 8*a - 6. Let v be q(-2). Let g be ((-3)/1 - v)/(-1). What is the nearest to -4 in g, -7, -0.1? -7 Let l = -12535 + 162957/13. Which is the closest to -2/5? (a) -0.59 (b) 5 (c) -0.1 (d) l a Let d = 14180 + -14176.5. Which is the nearest to 1? (a) 4 (b) 1 (c) d b Let j = 602184/13 + -46322. Let m = 0.2 - -0.3. Which is the nearest to j? (a) -0.1 (b) -0.4 (c) m a Let s = 3.2993 + -3.1993. Let r = 0.3 + 0.7. Which is the closest to r? (a) s (b) 9 (c) -5 a Let h = 0.44 - 5.44. Let g = 1927/11 - 175. Let i = 2 - 1. Which is the nearest to g? (a) 4 (b) h (c) i c Let r = 12.1 - 9.1. Let y = 5.036 + -0.036. What is the closest to 8 in y, 2, r? y Let p = 3 + 0. Let u be 6 + (-3)/7 + (-3344)/560. Which is the nearest to u? (a) 5 (b) p (c) 11 (d) 0.3 d Let u = -2684 + 2687. Which is the nearest to u? (a) 0.4 (b) 4.7 (c) -5 b Let q = 6 - 8. Let f = 229.0763 + -0.0763. Let o = f - 228. Which is the closest to o? (a) 23 (b) 3 (c) q b Let d = 163 + -163.021. Let u = d - -0.421. Which is the nearest to -2/7? (a) u (b) 4 (c) 0.5 a Suppose -46*j + 200 = -36*j. Let p(x) = -x**3 + 19*x**2 + 20*x + 2. Let w be p(j). Which is the nearest to 0.02? (a) -1 (b) 5 (c) w a Let u = -12.981 - -10.5432. Let a = u - -0.0378. What is the nearest to -2/5 in 1, a, 2/7, -0.3? -0.3 Let j be 9/5 - 4/2. Let s = -0.17 + 0.27. Let y = 245.05 - 245. Which is the nearest to s? (a) y (b) -5 (c) j a Let u = 1.22521 + -0.11521. What is the nearest to 3 in -0.2, u, -0.1? u Let l = -138 - -153.5. Let j = l + -15.4. What is the nearest to -1 in 0, j, 7? 0 Let x = -1047 + 1046. Which is the closest to x? (a) -15 (b) -1 (c) 0.2 b Let u = 26.69 - 26.55. What is the closest to 0.1 in -3, -1/5, -1, u? u Let i = -35/1124 + 24691/648548. Which is the closest to -0.1? (a) -2/9 (b) 2 (c) i c Let y be (-2915)/(-106) - (-2 + 22). Which is the closest to 8/7? (a) -1/5 (b) 1/5 (c) y b Let j = 44 + -54. Let w be (3/(-15)*-13)/((-2)/j). Suppose -5*r + w*r - 32 = 0. Which is the nearest to r? (a) -1/5 (b) -0.1 (c) -4 b Let r = -40.88 - -41.18. Which is the closest to -1.5? (a) r (b) 3/4 (c) 2/3 a Let t = -0.25 + 0.05. Let h = t + 0.4. Let u be (-74)/(-2701) + (-399)/(-4088). What is the closest to 0.1 in u, h, -1.5? u Let j be 4/(-6)*(-2)/4. Let a(r) = r**3 + 10*r**2 - 15*r - 30. Let i be a(-11). Let q = 69/5 - i. What is the closest to j in 1/2, q, 5? 1/2 Let h = -1.71 + 1.73. Which is the nearest to 0? (a) 10/9 (b) h (c) 4 b Suppose -3*y + 788 = 803. Let r(q) = -q**2 - 2*q - 2. Let l be r(-3). What is the close
{ "pile_set_name": "DM Mathematics" }
-98 + 51 + 47 - 55*h. -55*h Collect the terms in 49*j + 9*j + 6*j + 11*j - 93*j + 22*j. 4*j Collect the terms in -2803*d**3 + 1405*d**3 + 1403*d**3. 5*d**3 Collect the terms in -n**3 + 5102285344170*n - 5102285344170*n. -n**3 Collect the terms in -43 + 22 - 198*w - 32 + 197*w - 56. -w - 109 Collect the terms in 877*r - 4 - 877*r - 16*r**3. -16*r**3 - 4 Collect the terms in 57*n - 33 + 47 - 12. 57*n + 2 Collect the terms in 12*l**3 + 5*l**2 + 8*l**3 - 14*l**3. 6*l**3 + 5*l**2 Collect the terms in 5*q**3 - 6533888*q**2 - 4*q**3 + 6533888*q**2 + 2 - 2. q**3 Collect the terms in -727*a**3 - 48*a - 48*a + 617*a**3 + 96*a. -110*a**3 Collect the terms in -177*l**2 - l + l - 1047*l**2. -1224*l**2 Collect the terms in 37*l - 174*l - 46*l. -183*l Collect the terms in 26 + 2 - 1 - 27 - 3 + 30*s. 30*s - 3 Collect the terms in 77*m**2 - 7*m - 3*m - 2*m + 80*m**2 - 136*m**2. 21*m**2 - 12*m Collect the terms in -8*l**3 + 81592 - 81592 - 27*l**2. -8*l**3 - 27*l**2 Collect the terms in -27 - 56 + 139 + 15*n - 58. 15*n - 2 Collect the terms in -952*w - 952*w + 3810*w - 947*w - 951*w. 8*w Collect the terms in -29*m**2 - 18470 + 40*m**2 + 18457 - 10*m**2. m**2 - 13 Collect the terms in -175*z**3 + 138*z**3 - 3000*z**2 + 3000*z**2. -37*z**3 Collect the terms in 16*l + l**3 + 150*l + 2*l. l**3 + 168*l Collect the terms in 259*a**2 - 613*a**2 + 208*a**2 + 208*a**2. 62*a**2 Collect the terms in 133 + 136 - 269 + 15*q + 12*q. 27*q Collect the terms in -223216*y + 136800*y - 173362*y. -259778*y Collect the terms in c**2 + 739*c + 439 - 739*c - c**3 - c**2. -c**3 + 439 Collect the terms in 4*m**2 - 3*m**2 + 29*m**3 - m**2 - 41*m**3 + 18*m**3. 6*m**3 Collect the terms in 67707 - 4*w**3 - 67707. -4*w**3 Collect the terms in -2 + 62*v + 32*v + 357*v - 36*v. 415*v - 2 Collect the terms in 106*j**3 - 65*j**3 - 68*j**3. -27*j**3 Collect the terms in -44*d**3 + 646*d - 400*d - 246*d. -44*d**3 Collect the terms in 13152*t + 13144*t + 13150*t - 52598*t + 13146*t. -6*t Collect the terms in -1 - 4 + 5 + 7464*g. 7464*g Collect the terms in -89230 + 9*t + 89230. 9*t Collect the terms in 334*x**2 + 704*x**3 - 167*x**2 - 167*x**2. 704*x**3 Collect the terms in -29*j**3 + 0 - 16 + 16. -29*j**3 Collect the terms in -12*w**2 + 55*w - 55*w + 42*w**2 - 15*w**2. 15*w**2 Collect the terms in -788*y - 8026*y - 8189*y. -17003*y Collect the terms in -3810*q**2 + 7453*q**2 - 3649*q**2. -6*q**2 Collect the terms in 362 - 362 - 22*f + 60*f + 8*f. 46*f Collect the terms in u**2 + 19142538 - u**2 + 6*u**3 - 19142538. 6*u**3 Collect the terms in 68*v**3 + 13*v - 3*v**3 - 16*v**2 - 5*v. 65*v**3 - 16*v**2 + 8*v Collect the terms in -3261*d - 3884*d + d**3 + 7145*d. d**3 Collect the terms in 50 + 712*s + 45 - 95 - 306*s. 406*s Collect the terms in -5*d + 12*d + 38 + 37 - 75. 7*d Collect the terms in 87*r**3 + 55*r**3 - 113*r**3 + 123*r - 123*r. 29*r**3 Collect the terms in 152*i**3 + 162*i**3 + 155*i**3 + 119 - 473*i**3 - 119. -4*i**3 Collect the terms in 3*i**2 + 65*i**3 - 3*i**2 + 15*i**3 + 0*i**2. 80*i**3 Collect the terms in -204*q**2 + 15*q**2 + 72*q**2 + 30*q**2. -87*q**2 Collect the terms in 44*o**2 + 46*o**2 + 42*o**2 + 39*o**2 - 196*o**2. -25*o**2 Collect the terms in -211 + 45 - 3*o + 166. -3*o Collect the terms in -3*i**2 - 44*i**2 - 8*i**2 + 1. -55*i**2 + 1 Collect the terms in 8303*a + 49*a**2 + 2 - 8303*a. 49*a**2 + 2 Collect the terms in 1831*n**2 - 1030*n**2 - 800*n**2. n**2 Collect the terms in -45 - 104*j**2 + 314*j**2 - 101*j**2 - 106*j**2. 3*j**2 - 45 Collect the terms in -19469*f - 2611*f - 7476*f. -29556*f Collect the terms in -81233*n**2 + 162505*n**2 - 81270*n**2. 2*n**2 Collect the terms in -640 - 895 + 7*z**2 - z**2. 6*z**2 - 1535 Collect the terms in -1128*k + 376*k + 381*k + 448*k. 77*k Collect the terms in 5307*f**2 - 2706*f**2 - 4*f**3 - 2601*f**2. -4*f**3 Collect the terms in 1588*y**3 + 3127*y**3 - y + y. 4715*y**3 Collect the terms in t**3 + 2048 + 4*t**3 - 2048. 5*t**3 Collect the terms in 275*a**2 + 3*a - 3*a - 383*a**2 + 107*a**2. -a**2 Collect the terms in 4765*d**2 - 1797*d**2 + 2 - 2. 2968*d**2 Collect the terms in 76*o**3 + 83*o**3 - 42*o**3 - 22*o**2 + 18*o**2. 117*o**3 - 4*o**2 Collect the terms in -229*i + 4 - 46*i**3 + 45*i**3 - 4. -i**3 - 229*i Collect the terms in 3807 + 8*z**2 - 3807 + 4*z - 4*z. 8*z**2 Collect the terms in 407*m - 14*m**2 + 12*m**2 - 136*m + 364*m. -2*m**2 + 635*m Collect the terms in -4*w**3 - 5*w**3 - 87459 + 87459. -9*w**3 Collect the terms in -20*a**3 + 78*a**3 + 401*a**3. 459*a**3 Collect the terms in 53*p - 104*p + 52*p - 1045. p - 1045 Collect the terms in -37858 - 24*n**3 + 37858. -24*n**3 Collect the terms in 527*r - 534*r - 5 + 4 + 1. -7*r Collect the terms in -28*m + 15*m + 33*m - 18*m - 15*m. -13*m Collect the terms in 28*m**3 - 57*m**3 + 22*m**3. -7*m**3 Collect the terms in 6*t + 2*t + 3*t + 89 - 6*t. 5*t + 89 Collect the terms in -1447*h - 545 + 545 + 1453*h. 6*h Collect the terms in 83*y**3 - 69*y**3 + 212*y**3 + 113*y**3 - 51*y**3. 288*y**3 Collect the terms in 976 + 2*z - 5*z + z. -2*z + 976 Collect the terms in -1 + 5 - 13*n**3 + 4*n**3 - 5. -9*n**3 - 1 Collect the terms in 2694*w - 5355*w + 21 + 2686*w - 21. 25*w Collect the terms in -285*a**2 - 6*a**2 - 380*a**2 - 22*a**2. -693*a**2 Collect the terms in -61 + 38*g + 12*g - 25. 50*g - 86 Collect the terms in 143542*a + 92945*a + 240178*a - 2. 476665*a - 2 Collect the terms in -305*w**3 + 186*w**3 - 806*w**3. -925*w**3 Collect the terms in 19*v + 33*v + 29*v - 113*v + 27*v. -5*v Collect the terms in -6*a + 4*a + 3*a - 1391. a - 1391 Collect the terms in -74*z**3 + 81*z - 81*z + 233*z**3 - 2 + 70*z**3. 229*z**3 - 2 Collect the terms in 11639*m**3 - 5 + 1 - 11633*m**3 + 4. 6*m**3 Collect the terms in -165*b - 1972*b**3 + 77*b + 88*b. -1972*b**3 Collect the terms in 48*p**2 + 48*p**2 + 49*p**2 - 6 - 49 - 146*p**2. -p**2 - 55 Collect the terms in 52*n**3 - 139*n**3 + 42*n**3 + 50*n**3. 5*n**3 Collect the terms in 4*f**3 - 223 - 232 + 450. 4*f**3 - 5 Collect the terms in -93*y**2 - 5*y + 983*y**2 - y**2 + 2*y**3. 2*y**3 + 889*y**2 - 5*y Collect the terms in -z**3 + 58 + 38*z**3 - 41*z**3. -4*z**3 + 58 Collect the terms in -15455*x - 15463*x + 30913*x. -5*x Collect the terms in -n + 549185*n**2 + n - 549177*n**2. 8*n**2 Collect the terms in 0 + 4686*v + 0 - 944*v. 3742*v Collect the terms in 11 + 53333*r**2 - 11. 53333*r**2 Collect the terms in -2*x + 94*x**3 + 3*x + 16*x + 217*x**3. 311*x**3 + 17*x Collect the terms in 32747 - 32747 - 3*p - 11*p**2. -11*p**2 - 3*p Collect the terms in 47*n**2 + 30*n**2 + 42*n**2 + 54*n**2 - 251*n**2. -78*n**2 Collect the terms in 181*f**3 - f + 22*f**3 + f. 203*f**3 Collect the terms in 15*l**3 - 22*l**3 - l**3 - 3*l**3 + 2*l**3. -9*l**3 Collect the terms in -4849*c + 39909*c + 22262*c. 57322*c Collect the terms in 239417 - 239417 - y**2. -y**2 Collect the terms in -6*u**3 + 709 + 716 + 36*u**2 - 1425. -6*u**3 + 36*u**2 Collect the terms in 60734*g**2 - 60734*g**2 + 10*g**3. 10*g**3 Collect the terms in -204*m**2 - 3581*m**2 + 780*m**2. -3005*m**2 Collect the terms in 14334*h - 14334*h + 2*h**2. 2*h**2 Collect the terms in -131*b - 295*b - 29*b - 41*b - 333*b. -829*b Collect the terms in -5*o**3 - 214*o**2 + 4*o**3 + 444*o**2 - 230*o**2. -o**3 Collect the terms in -1652*c**3 + 209*c + 7*c - 1651*c**3 + 4957*c**3 - 1655*c**3. -c**3 + 216*c Collect the terms in 70628*a - 211876*a + 0*a**2 + 70626*a - 2*a**2 + 70622*a. -2*a**2 Collect the terms in 588*v**3 - 200*v**3 + 1 - 1. 388*v**3 Collect the terms in 13 + 11 + 138*s - 33 + 9. 138*s Collect the terms in -5751*s**2 + 2865*s**2 + 2890*s**2. 4*s**2 Collect the terms in 499*c**2 - 1410*c**2 + 907*c**2. -4*c**2 Collect the terms in 35*r**2 - 11*r**3 + 27*r**2 + 30*r**2 - 92*r**2. -11*r**3 Collect the terms in 6*q**3 - 16 - 20*q**3 + q**3 - 11*q**3. -24*q**3 - 16 Collect the terms in -45*y**2 + 139*y**3 - 137*y**3 - y**2. 2*y**3 - 46*y**2 Collect the terms in -7 - 1 - 1 + 9 - 120*o**2. -120*o**2 Collect the terms in 82796686 + x - 82796686. x Collect the terms in 4*z + 102 - z - 103. 3*z - 1 Collect the terms in 12 - 95*d - 12 + 76*d + 21*d. 2*d Collect the terms in 1077*y**3 - 2104*y**3 - 8*y**2 + 1053*y**3 + 8*y**2. 26*y**3 Collect the terms in 58*x - 20*x + 260*x. 298*x Collect the terms
{ "pile_set_name": "DM Mathematics" }
g'th term of 8591, 18770, 30535, 43886? 793*g**2 + 7800*g - 2 What is the z'th term of -89911, -179377, -268843, -358309, -447775, -537241? -89466*z - 445 What is the h'th term of -56212, -56309, -56406? -97*h - 56115 What is the i'th term of 106358, 106349, 106366, 106421, 106526? 2*i**3 + i**2 - 26*i + 106381 What is the v'th term of 152, 477, 1228, 2405, 4008, 6037? 213*v**2 - 314*v + 253 What is the l'th term of -1154957, -2309958, -3464961, -4619966, -5774973, -6929982, -8084993? -l**2 - 1154998*l + 42 What is the j'th term of -1805, -6321, -13839, -24359, -37881? -1501*j**2 - 13*j - 291 What is the h'th term of 34517168, 34517169, 34517170, 34517171, 34517172, 34517173? h + 34517167 What is the t'th term of -572558, -1145139, -1717736, -2290355, -2863002? -t**3 - 2*t**2 - 572568*t + 13 What is the d'th term of -262780211, -525560424, -788340639, -1051120856, -1313901075, -1576681296? -d**2 - 262780210*d What is the h'th term of -54847, -54854, -54835, -54778, -54671, -54502? 2*h**3 + h**2 - 24*h - 54826 What is the p'th term of -2446470, -4892970, -7339470, -9785970, -12232470, -14678970? -2446500*p + 30 What is the y'th term of -17876, -16805, -15018, -12515? 358*y**2 - 3*y - 18231 What is the b'th term of 2783953, 2783971, 2783989, 2784007, 2784025, 2784043? 18*b + 2783935 What is the l'th term of 149561, 299164, 448767, 598370, 747973, 897576? 149603*l - 42 What is the o'th term of 91894, 91874, 91840, 91792, 91730, 91654? -7*o**2 + o + 91900 What is the v'th term of 14927, 14619, 14311? -308*v + 15235 What is the u'th term of -312, -434, -482, -462, -380, -242, -54, 178? -u**3 + 43*u**2 - 244*u - 110 What is the l'th term of 1927, 7600, 16955, 29992? 1841*l**2 + 150*l - 64 What is the x'th term of 791, 3130, 7001, 12386, 19267? -3*x**3 + 784*x**2 + 8*x + 2 What is the r'th term of 11049, 22671, 34293? 11622*r - 573 What is the k'th term of -6117, -6960, -8361, -10314, -12813, -15852, -19425? k**3 - 285*k**2 + 5*k - 5838 What is the d'th term of -4050124, -8100167, -12150210, -16200253, -20250296, -24300339? -4050043*d - 81 What is the c'th term of -3003, -3094, -3241, -3444, -3703, -4018, -4389? -28*c**2 - 7*c - 2968 What is the a'th term of 6623, 12971, 19307, 25631, 31943, 38243, 44531? -6*a**2 + 6366*a + 263 What is the x'th term of -12327, -16547, -20767? -4220*x - 8107 What is the y'th term of -8098, -16233, -24444, -32767, -41238? -6*y**3 - 2*y**2 - 8087*y - 3 What is the y'th term of -549400, -549412, -549448, -549520, -549640, -549820, -550072? -2*y**3 + 2*y - 549400 What is the f'th term of 232138, 231831, 231316, 230593, 229662? -104*f**2 + 5*f + 232237 What is the i'th term of 155166, 618338, 1390290, 2471022, 3860534? 154390*i**2 + 2*i + 774 What is the y'th term of 81678, 163353, 245036, 326733, 408450, 490193, 571968, 653781? y**3 - 2*y**2 + 81674*y + 5 What is the a'th term of 188215, 376442, 564669, 752896, 941123? 188227*a - 12 What is the y'th term of 1123, 1304, 1605, 2032, 2591, 3288, 4129? y**3 + 54*y**2 + 12*y + 1056 What is the y'th term of 20823, 20424, 20025, 19626, 19227, 18828? -399*y + 21222 What is the j'th term of 4089, 16306, 36665, 65166, 101809, 146594? 4071*j**2 + 4*j + 14 What is the s'th term of -314, -1838, -5788, -13376, -25814? -202*s**3 - s**2 - 107*s - 4 What is the a'th term of 3140452, 6280898, 9421344, 12561790, 15702236? 3140446*a + 6 What is the b'th term of -134491, -268818, -403145, -537472? -134327*b - 164 What is the f'th term of 28524, 57018, 85516, 114018? 2*f**2 + 28488*f + 34 What is the o'th term of 7090, 12614, 18146, 23686, 29234? 4*o**2 + 5512*o + 1574 What is the q'th term of -570297, -1140717, -1711137, -2281557, -2851977? -570420*q + 123 What is the m'th term of -17938, -18180, -18422, -18664, -18906? -242*m - 17696 What is the g'th term of 198283, 203278, 211603, 223258, 238243, 256558? 1665*g**2 + 196618 What is the g'th term of -7502, -8490, -11214, -16556, -25398, -38622, -57110? -147*g**3 + 14*g**2 - g - 7368 What is the f'th term of 11427, 10922, 10417, 9912, 9407? -505*f + 11932 What is the y'th term of 45791, 45751, 45711, 45671, 45631? -40*y + 45831 What is the y'th term of 126996, 253996, 380996? 127000*y - 4 What is the x'th term of 2567088, 5134175, 7701262, 10268349, 12835436, 15402523? 2567087*x + 1 What is the q'th term of -118608, -118591, -118574, -118557, -118540? 17*q - 118625 What is the o'th term of -42983, -42841, -42599, -42257? 50*o**2 - 8*o - 43025 What is the c'th term of -4611658, -9223311, -13834964, -18446617, -23058270? -4611653*c - 5 What is the y'th term of 884, 3053, 6658, 11699? 718*y**2 + 15*y + 151 What is the x'th term of -847, -3337, -7457, -13195, -20539, -29477? 2*x**3 - 827*x**2 - 23*x + 1 What is the w'th term of -261096228, -261096241, -261096266, -261096309, -261096376, -261096473, -261096606? -w**3 - 6*w - 261096221 What is the f'th term of 80949, 80969, 81013, 81087, 81197? f**3 + 6*f**2 - 5*f + 80947 What is the t'th term of 12247, 49087, 110505, 196519, 307147, 442407, 602317? 3*t**3 + 12271*t**2 + 6*t - 33 What is the s'th term of 1190951962, 1190951963, 1190951964, 1190951965? s + 1190951961 What is the t'th term of -478256, -478259, -478262, -478265? -3*t - 478253 What is the z'th term of -1109864, -1114721, -1119576, -1124429, -1129280, -1134129? z**2 - 4860*z - 1105005 What is the y'th term of 18186356, 18186357, 18186358, 18186359, 18186360, 18186361? y + 18186355 What is the v'th term of -4760, -3815, -2870, -1925, -980, -35? 945*v - 5705 What is the o'th term of 2025, 4328, 10609, 22866, 43097, 73300, 115473? 333*o**3 - 9*o**2 - o + 1702 What is the t'th term of 29513, 58964, 88385, 117776, 147137? -15*t**2 + 29496*t + 32 What is the r'th term of -322547, -644762, -966975, -1289186, -1611395, -1933602, -2255807? r**2 - 322218*r - 330 What is the s'th term of -5855, -6548, -7697, -9296, -11339, -13820? s**3 - 234*s**2 + 2*s - 5624 What is the d'th term of -201714, -403213, -604712, -806211, -1007710, -1209209? -201499*d - 215 What is the c'th term of -8204, -32788, -73748, -131084? -8188*c**2 - 20*c + 4 What is the u'th term of 458616, 917241, 1375878, 1834533, 2293212? u**3 + 458618*u - 3 What is the c'th term of 30584743, 61169448, 91754153, 122338858, 152923563? 30584705*c + 38 What is the u'th term of -1118090, -2236179, -3354274, -4472381, -5590506? -u**3 + 3*u**2 - 1118091*u - 1 What is the z'th term of 25455, 24830, 24205, 23580, 22955? -625*z + 26080 What is the y'th term of 167251, 167260, 167265, 167266? -2*y**2 + 15*y + 167238 What is the m'th term of -1448, -3197, -5436, -8411, -12368, -17553, -24212? -41*m**3 + m**2 - 1465*m + 57 What is the j'th term of 288367, 288344, 288311, 288268, 288215? -5*j**2 - 8*j + 288380 What is the f'th term of -72493, -287614, -646149, -1148098? -71707*f**2 - 786 What is the q'th term of 158, -207, -594, -1015, -1482, -2007, -2602, -3279? -2*q**3 + q**2 - 354*q + 513 What is the p'th term of -424, -473, -512, -535, -536, -509? p**3 - p**2 - 53*p - 371 What is the o'th term of 1131, 2027, 2939, 3867, 4811? 8*o**2 + 872*o + 251 What is the a'th term of -11361, -22274, -33199, -44136, -55085, -66046, -77019? -6*a**2 - 10895*a - 460 What is the y'th term of 4839, 9549, 14115, 18465, 22527, 26229? -12*y**3 + 4794*y + 57 What is the w'th term of -523401, -1046804, -1570209, -2093616, -2617025, -3140436, -3663849? -w**2 - 523400*w What is the u'th term of -3174, -2768, -2102, -1176, 10, 1456? 130*u**2 + 16*u - 3320 What is the s'th term of -1222756, -1222776, -1222788, -1222786, -1222764? s**3 - 2*s**2 - 21*s - 1222734 What is the h'th term of 38028680, 38028670, 38028660? -10*h + 38028690 What is the p'th term of -27901, -111471, -250755, -445759, -696489? -p**3 - 27851*p**2 - 10*p - 39 What is the t'th term of 2806, 2829, 2884, 2977, 3114, 3301, 3544? t**3 + 10*t**2 - 14*t + 2809 What is the r'th term of 1596051, 3192092, 4788129, 6384162, 7980191, 9576216? -2*r**2 + 1596047*r + 6 What is the r'th term of 65525, 65191, 64875, 64577, 64297, 64035, 63791? 9*r**2 - 361*r + 65877 What is the x'th term of -1561994, -1562006, -1562018, -1562030? -12*x - 1561982 What is the u'th term of -497, -2006, -4517, -8030, -12545? -501*u**2 - 6*u + 10 What is the p'th term of -6141, -12275, -1
{ "pile_set_name": "DM Mathematics" }
70*k(a) + 2*r(a). -274*a Let v(s) = -8*s**2 - 7*s - 2. Let z = -1971 + 1964. Let r(u) = -6*u - 8*u**2 + 0 - 2 + u**2. Calculate z*r(t) + 6*v(t). t**2 + 2 Let k(z) = 66*z**2 + 6 + 66*z**2 - 120*z**2. Let c(r) = -24*r**2 - 11. Calculate 6*c(v) + 11*k(v). -12*v**2 Let d(k) = 7*k**3 + 3*k**2 + 3*k. Let r(q) be the second derivative of 7*q**5/20 + q**4/6 + q**3/3 - 2*q + 72. Calculate 2*d(y) - 3*r(y). -7*y**3 Let y(u) = -142*u**3 + 3*u**2 + 3*u + 3. Let v(s) = 142*s**3 - 4*s**2 - 4*s - 4. Determine 3*v(p) + 4*y(p). -142*p**3 Let z(d) = d. Let l(s) = 6*s - 1. Let w(q) = -2*q + 2*q - 3*q + 1 - 3*q. Let v(r) = -4*l(r) - 3*w(r). Give v(x) + 5*z(x). -x + 1 Let t be 2/5 - (42/(-10))/7. Let g(k) = -k**2 + 2. Let l be g(t). Let y(i) = i - 1. Let v(q) = -q**3 - q**2 + 5*q - 6. Calculate l*v(a) - 6*y(a). -a**3 - a**2 - a Let b(y) = -5*y**2 - 6*y + 4. Let i(v) = 4*v**2 + 8*v - 4. Calculate -5*b(o) - 4*i(o). 9*o**2 - 2*o - 4 Let t(z) be the first derivative of -2*z**3 - 2*z**2 - 8*z - 12. Let x(h) = -h**2 - h. Calculate -t(v) + 4*x(v). 2*v**2 + 8 Let r(h) = 2*h**2 + 6*h + 6. Let t(u) be the first derivative of -13*u - 4/3*u**3 - 13/2*u**2 - 13. Suppose 3*d = 29 + 10. What is d*r(m) + 6*t(m)? 2*m**2 Let u(o) = -4*o**2 - 24*o + 1. Let y(g) = 3*g**2 + 24*g - 1. What is 5*u(k) + 6*y(k)? -2*k**2 + 24*k - 1 Let b(i) = -i + 8. Suppose 0 = -3*u + x + 13, 3*x - 2 - 14 = -2*u. Let j(s) = -2*s + 20. Calculate u*j(v) - 12*b(v). 2*v + 4 Let k(g) = -g**3 + 3*g**2 - 3. Let h(p) = -8*p**3 + 28*p**2 - 28. Let y be (56/(-32))/(2/(-32)) + 0. Determine y*k(v) - 3*h(v). -4*v**3 Suppose 36 = 12*m - 6*m. Let z(p) = -m + 3*p + 1215*p**2 + 2 - 1210*p**2. Let b(x) = -x**2 + 1. What is 4*b(j) + z(j)? j**2 + 3*j Let s(r) = 6*r + 4. Let p(g) = -9*g - 6. Suppose 82 - 2 = -10*d. Determine d*s(b) - 5*p(b). -3*b - 2 Let n(x) = 11*x + 5. Let b(i) = -5*i - 2. Suppose 0 = 2*g + 6*j - 4*j - 32, -3*j = -2*g + 32. Let f = g + -12. Give f*n(u) + 9*b(u). -u + 2 Let h(x) = -3 - 5 + 8 + 2 + 3*x. Let j(u) = -21*u - 15. Let n be 5*(8/(-30) - (-16)/24). Suppose -n*c + 10 = 6. Calculate c*j(v) + 15*h(v). 3*v Let j(i) = 5*i**2 - 25*i - 11. Let r(k) = -2*k**2 + 13*k + 6. Calculate 6*j(x) + 11*r(x). 8*x**2 - 7*x Let m(r) = -14*r**3 + 5*r**2. Let a(y) = -7*y**3 + 3*y**2. Let v(j) = -j**2 - 11*j + 48. Let i be v(-14). Determine i*m(t) - 10*a(t). -14*t**3 Let h(y) = y**3 + y**2 - y. Let s(r) = 0*r + 54*r**2 - 12*r**3 - 53*r**2 - r. Determine -h(w) + s(w). -13*w**3 Let b(m) = -5*m + 24. Let v(w) = 5*w - 22. Calculate -4*b(y) - 5*v(y). -5*y + 14 Let q(d) = 8*d - 3. Let s(h) = 7*h - 8. Let u(l) = -3*l + 4. Let r(x) = 6*s(x) + 11*u(x). Determine 6*q(k) - 5*r(k). 3*k + 2 Let x(d) = 10*d**2 + 7*d**2 - 49*d + 5 + 27*d + 23*d - 6*d**2 + 3*d**3. Let u(s) = s**3 + 4*s**2 + 2. Calculate 11*u(r) - 4*x(r). -r**3 - 4*r + 2 Suppose 3*j - 4 = k - 3*k, 5*k = -3*j + 1. Let f(w) = -3*w**2 - 6. Let t(q) = 1. Let s(v) = 1. Let c(u) = -2*s(u) + t(u). Give k*f(x) + 6*c(x). 3*x**2 Let v = 2574 + -2577. Let m(i) = i**2 - 5*i + 2. Let j(z) = z - 1. Calculate v*j(b) - m(b). -b**2 + 2*b + 1 Let t(z) = -10*z + 6. Let n(b) = 30*b - 17. Give 3*n(y) + 8*t(y). 10*y - 3 Let y(s) = 21*s + 6. Let c(f) = 4*f + 1. What is -22*c(h) + 4*y(h)? -4*h + 2 Let g(v) = 4*v**2 - 2*v + 12. Let c(b) = 3*b**2 - 2*b + 12. Determine 5*c(t) - 4*g(t). -t**2 - 2*t + 12 Let r(l) be the first derivative of -l**2 + 1/3*l**3 - l - 12. Let p(o) = -o**2 + 2*o + 1. What is -2*p(b) - 3*r(b)? -b**2 + 2*b + 1 Let q(n) = 26*n**2 + 7*n - 5. Let b(c) = 13*c**2 + 3*c - 2. Calculate -9*b(d) + 4*q(d). -13*d**2 + d - 2 Let w(g) = -8*g**3 + 2*g**2. Let r(z) = -7*z**3 + 3*z**2. Suppose 4*h = 7*h - 9, 4*q + 21 = 3*h. Determine q*w(f) + 2*r(f). 10*f**3 Let d(k) = -4*k**3 - 9*k**2 - 16*k - 9. Let u(c) = c**2 - 8*c + 16. Let h be u(7). Let w(p) = -p**3 - 2*p**2 - 4*p - 2. Calculate h*w(o) - 2*d(o). -o**3 - 4*o Let p(g) = g**2 - 7*g + 7. Let b(w) = -w + 1. Let f(z) = -z**3 + 8*z**2 + 4. Let r be f(8). Give r*b(t) - p(t). -t**2 + 3*t - 3 Let r(k) = 3*k**3 - 6*k**2 + 9*k + 4. Let u(v) = -7*v**3 + 11*v**2 - 19*v - 10. Calculate -5*r(g) - 2*u(g). -g**3 + 8*g**2 - 7*g Let i(s) = s. Suppose -b - 16 = -14. Let p be ((-20)/(-40))/(b/(-8)). Let t(m) = -4*m + 4*m**p + 0*m**2 - 3*m**2 + 6*m. Calculate 3*i(y) - t(y). -y**2 + y Suppose 12 = 4*a + 28*v - 24*v, v - 7 = -5*a. Let c(p) = -5*p**3 - 5*p**2 + 2*p - 3. Let l(k) = -k**3 - k**2 - 1. Calculate a*c(g) - 3*l(g). -2*g**3 - 2*g**2 + 2*g Suppose -2*d + 20 = 2. Let u be 3*(16/6 + -3). Let g = u + d. Let z(h) = 5*h**2 + 5. Let v(f) = -2*f**2 - 2. What is g*v(y) + 3*z(y)? -y**2 - 1 Let l(n) be the third derivative of -1/15*n**5 + 0 + 0*n + 3/2*n**3 + 30*n**2 + 1/8*n**4. Let c(o) = 6*o**2 - 4*o - 13. What is -5*c(y) - 7*l(y)? -2*y**2 - y + 2 Let l(t) = 84*t**2 - 1. Let h(k) = -169*k**2 + 1. Calculate -3*h(z) - 5*l(z). 87*z**2 + 2 Let d(m) = -4*m - 4. Let x(u) = 14*u**3 - 3*u**2 + 4*u - 1. Let q be x(1). Let n(j) = -q*j + 9 + 0*j + 11*j + 12*j. Give 7*d(w) + 3*n(w). -w - 1 Let f(m) = 4*m**2 + 6*m - 5. Let s(q) = 2*q**2 + 3*q - 2. Let u be ((-8)/6)/(11 - 105/9). Give u*f(d) - 5*s(d). -2*d**2 - 3*d Let w(a) = -7*a + 1. Let c(g) = 9*g - 4. Let q(j) = -8*j + 3. Let r(l) = -2*c(l) - 3*q(l). Determine -4*r(s) - 3*w(s). -3*s + 1 Let t(y) = -7*y**2 + 4*y + 2. Let w(n) = -14*n**2 + 9*n + 5. Suppose 5*p = -286 + 296. Give p*w(k) - 5*t(k). 7*k**2 - 2*k Let s(x) = -4*x**3 - 3*x. Let l(d) = -1087 + 5*d**3 - 35*d**3 - 20*d + 1087 + 2*d**3. Calculate 6*l(k) - 40*s(k). -8*k**3 Let t(v) = -252*v + 15. Let c(i) = -251*i + 18. Give 5*c(j) - 6*t(j). 257*j Let t(m) be the first derivative of m**2/2 - 2*m - 89. Let u(p) = p. Give t(s) - 3*u(s). -2*s - 2 Let f(t) = 2*t**2 - 3*t. Let h(y) = y**2 - 4*y. Suppose 30 = 135*m - 125*m. What is m*h(u) - 4*f(u)? -5*u**2 Let u(y) = -531*y**2 - 708. Let i(d) = d**2 + 1. Calculate -708*i(h) - u(h). -177*h**2 Let x(d) = -d - 2. Let n(i) = -4*i + 3. Let p(f) = -f. Let m(u) = -n(u) + 5*p(u). Let w(c) be the first derivative of m(c). Determine 2*w(j) - x(j). j Suppose -4 = -w - 0. Let b(f) = 11*f - 24. Let x(h) = -21*h + 43. Let l(g) = 7*b(g) + 4*x(g). Let j(a) = 6*a - 3. What is w*l(i) + 5*j(i)? 2*i + 1 Let d(j) = 2*j + 2. Let v(w) = 3*w + 5. Give 5*d(o) - 3*v(o). o - 5 Let w(o) = 3*o - 5. Let a(l) = -5*l + 12. What is -4*a(g) - 9*w(g)? -7*g - 3 Let q(a) = 64*a - 7. Let k(s) = 33*s - 4. What is -5*k(n) + 3*q(n)? 27*n - 1 Let x be 37 - (-7)/(28/(-8)). Suppose -p - 31 = 5*l, -5*p = 2*l - l + x. Let c(s) = -s + 1. Let r(j) = -9*j + 8. What is p*c(k) + r(k)? -3*k + 2 Let y(t) = 103*t + 6. Let v(c) = c + 1. Determine 3*v(a) - y(a). -100*a - 3 Let d(c) = c**2 - c + 1. Let i(t) = 13*t**2 - 2*t + 2. Let n(u) = -u**3 - 20*u**2 - 82*u + 26. Let m be n(-14). Calculate m*d(l) + i(l). 11*l**2 Let r(l) = l**3 + 2*l**2 - 4*l - 3. Let x(c) = -c**3 - 2*c**2 + 4*c + 4. Let i be 1 - (0 + 8) - -11. Calculate i*r(w) + 3*x(w). w**3 + 2*w**2 - 4*w Let v(b) = -2*b + 4. Suppose -13 = -5*k - c, 4*c = 2*c - 4. Let s(m) = -3*m + 8. Determine k*s(d) - 5*v(d). d + 4 Let b(h) = 6*h**3 - 17*h**2 - 23*h - 3. Let j(x) = 2*x**3 - 6*x**2 - 8*x - 1. Give 6*b(w) - 17*j(w). 2*w**3 - 2*w - 1 Let h(r) = -10*r + 3 - 4 + 5. Let u(y) = -3*y + 1. Let n(j) = -106*j - 1906. Let p be n(-18). Determine p*h(w) - 7*u(w). w + 1 Let v(o) = o**2 - o + 1. Let q(c) = -2*c**2 - 2*c - 15. What is -q(d) + 2*v(d)? 4*d**2 + 17 Let d(f) = -f - 5. Let n be (-2 + 4 - -1) + (4 - 2). Suppose -22*w = -19*w - 21. Let y(a) = a + 7. Determine n*y(j) + w*d(j). -2*j Let d(l) = 3*l - 1. Let u(g) = 2*g - 1. Let b(q) = 3*q + 1. Let s be b(2). Let w = -32 + 40. Let t(h) = -2*h + 11. Let f be t(w). Calculate f*d(v) + s*u(v). -v - 2 Let l(x) = x**3 - 3*x**2 + 30*x - 95. Let z be l(3). Let b(k) be the second derivative of 7*k**3/6 + 4*k**2 + k. Let c(u) = 6*u + 7. What is z*b(y) + 6*c(y)? y + 2 Let c(j) = -2*j**3 - 6*j**2 - 5*j + 12. Let v(g) = -g**2 - g + 1. What is c(r) - 5*v(r)? -2*r**3 - r**2 + 7 Let n(b) = -b**3 - 8*b - 3. Let t(s) = s**3 + 15*s + 7. Calculate -5*n(d) - 2*t(d). 3*d**3 + 10*d + 1 Let y(n) = -n**3 + n + 1. Let f be y(-1). Let k(g) = 5*g - 2*g + f + 2*g + 0*g. Let r(t) = t. Give k(w) - 3*r(w). 2*w + 1 Let s(w) = -w - 1. Let f(z) = -5*z - 6. Let l be -3*12/54*6/(-4). Determine l*f(o) - 4*s(o). -o -
{ "pile_set_name": "DM Mathematics" }
- g = 3*a for d. -5 Let h = -10 + 14. Suppose h*r - 8 = -0. Solve r*p - 10 = -2*i + 2, 0 = 5*p - 2*i - 9 for p. 3 Let p(g) = -9*g + 20. Let h be p(5). Let z be (h/(-3))/((-17)/(-51)). Suppose -a + 6*a = z. Solve 4*x - 2*i = -10, 21 = -a*i - 4 for x. -5 Let r(y) be the second derivative of -y**3/3 - 21*y**2/2 + 11*y. Let w be r(-12). Solve -2*d = d - w*x + 24, x = -d - 2 for d. -5 Suppose c + 20 = -4*c. Let o be c/(-5)*60/8. Let z be -3 + 20 + (-3)/(-1). Solve 4*p = -16, o*p - p = 2*h - z for h. 0 Let t(w) = -11*w + 19. Let d(h) = -5*h + 10. Let l(u) = 9*d(u) - 4*t(u). Let n be l(7). Solve 3*g + g = k - 8, -k + n = -3*g for k. 4 Let k = 357 + -357. Solve 0*g + 2*a = 4*g - 2, k = 4*g + 4*a + 16 for g. -1 Let r(f) = 5*f**2 + 2*f + 5. Let m be r(3). Let o = 57 - m. Solve -4*a - o = 5*s, 0*s - a = s + 1 for s. 3 Suppose 0 = 3*u + 3*u. Suppose u - 30 = -5*p. Solve 3*j = -2*f - 15, -2*j - 3*f + 3 = -p*f for j. -3 Let m(n) be the first derivative of n**2/2 + 10*n + 8. Let u be m(-8). Suppose i - 5 = -u. Solve 2*h - i*q = -12, 3*h - 4*q = -2*q - 8 for h. 0 Let y = 63 - 63. Let f be (-1 + 0 + y)/((-3)/12). Suppose -n + 10 = -16. Solve -4*b + 0*b + 24 = f*l, l - n = -5*b for b. 5 Let f be (5 - 3)*(-2 + 7). Suppose 3*n - 4*o - 13 = 0, -4*n + 3*o + f = 5*o. Solve 0 = -4*b - n*j + 5*j - 18, -15 = 4*b - j for b. -3 Let s be 40 + -39 - (0 - -1). Solve -t - 7 = -s*r - 5*r, -3*t + 5*r = 1 for t. 3 Suppose 0 = -7*i + 8 + 27. Suppose 2*b - t - 12 = 0, -i = -3*b - 4*t + 24. Solve 2*s = -2*s + 5*m + b, -5*s - m + 16 = 0 for s. 3 Let k(j) = -j**3 + 17*j**2 + 42*j - 54. Let b be k(19). Solve -x - 2*a + b = 4*x, -3*a - 5 = -2*x for x. 4 Suppose -z = -i - 0*i - 2, -2*i = -4*z. Let n be (i/3)/((-2)/6). Solve 2 = -q - 3*m + 4*m, -3*q = -n*m + 3 for q. -5 Suppose -4*w - 5*a + 17 = 0, -25 = -2*w - 3*a + 6*a. Let n = 35 - 32. Solve 2*q = -0*z - n*z + 13, z - 3*q = w for z. 5 Let m be 1*((-8)/(-12))/(3/27). Suppose 9*j - m = 7*j. Solve -3*x + 6*x = -j*i - 6, -15 = 5*x for i. 1 Suppose -5*b - 5*l + 40 = -l, 5*l - 13 = 3*b. Let k(d) = d**2 - 15*d - 50. Let a be k(18). Solve -3 + 1 = -5*o + b*s, -a = -5*o + 3*s for o. 2 Let c(l) = -l**3 - l**2 + 3. Let d be c(0). Suppose -31 = -5*m + 4*v + 2, 4*m = 5*v + 30. Let u be 534/18 + 2/6. Solve -8 = 3*a + i + 10, d*a + u = -m*i for a. -5 Let w(h) = h**2 - 3*h - 38. Let v(z) = z**2 + 19*z + 26. Let l be v(-18). Let p be w(l). Solve 2*b + 3*y - 5 = b, -p*y - 5 = -b for b. 5 Suppose 2*w = -5*d + 19 + 6, -4*w + 20 = 0. Let q be (d/(-6) - 0) + (-3)/(-6). Let a be ((-4)/(-2) - 2) + 0. Solve -3*i + q*s - 2 = s, a = -3*i - 3*s for i. -1 Let u(l) = l**2 - 11*l + 6. Let t be u(13). Suppose 28*g + 12 = t*g. Solve 4*q - 2*v + g = -1, -2*q + 4*v - 2 = 0 for q. -1 Suppose 3*q + 38 = -0*b + b, 2*q + 102 = 4*b. Solve r = -4*f + b, 2*f - f - r - 2 = 0 for f. 5 Suppose -5*l + 160 = -l. Let u = -35 + l. Solve 0 = -u*i - 3*w - 0*w + 3, 1 = 5*i + w for i. 0 Let r = 23 + -15. Suppose 5*m = 17 + r. Suppose -m*f + n = -21, -4*f + 2*n + 17 + 1 = 0. Solve 0*w = -5*p + f*w + 16, 5*p + 12 = -3*w for p. 0 Let i(u) = 60*u + 362. Let x be i(-6). Solve 0 = n - 2*w, x*w - 7*w + 5 = 0 for n. 2 Let i(a) = 4*a**2 - 5*a + 5. Let c be i(2). Let u be -8*((-2)/4)/(c/55). Solve -4*r - 2*k = 2 + 6, 0 = -4*r + k - u for r. -4 Let w(b) = 18*b - 85. Let s be w(5). Solve -2*y - 3*l + s = 0, -4*l + 3*l + 5 = 0 for y. -5 Let u = -521 + 523. Solve 10 = -4*f + u*y, -5*y - 29 = f - 10 for f. -4 Let g be (-10 - 1)*(-6 + (7 - 3)). Solve -5*b - 7 = k, -g = 2*b - 4*k - 6 for b. -2 Suppose -3 = 2*q + 4*j + 9, -5*j - 25 = 0. Suppose 0 = v + 3*t - 3 + 8, -q*v + 19 = -t. Suppose w = 3*w - v. Solve 5*g = -w*h - 25, -2 - 23 = 5*g - h for g. -5 Suppose 5*g + 213 - 218 = 0. Solve -2*r - g = 4*i + 11, -6 = -4*r + 2*i for r. 0 Let f be (63/35)/((-21)/(-140)). Solve 0 = -2*n - 4*d + 2 - f, 5*d + 17 = 2*n for n. 1 Let w be ((-3)/(-3))/(2/8). Suppose -27 = -w*d + 65. Solve 2*m = 5*q - 20, 0 = 6*q - 2*q - 3*m - d for q. 2 Let d(c) be the second derivative of -c**5/20 - 2*c**4/3 - 7*c**3/6 + c**2 - 18*c. Let y be d(-7). Solve 2*t = 2*r + y - 18, -2*r = 2*t - 4 for t. -3 Suppose -5 = -4*t - t. Suppose -s - u = -t, 1 = -2*s - 3*u + 2. Suppose -s*v - 5*d + 4*d = -1, -4*d = 5*v + 2. Solve -5*r + 14 = -5*o - 2*r, -v*r = 4 for o. -4 Suppose 0 = 4*x - 8, 0*x + 1 = o + x. Let r be (-6 - (-1)/1)*o. Solve 4*p + 6 + 6 = 4*f, -r*f = -3*p - 13 for f. 2 Suppose -2*j = -11*j + 45. Solve o - 4*x = -11, j*o + 20 + 5 = 5*x for o. -3 Let f(d) = -d**3 + d**2 + d - 24. Let s be f(0). Let c be s*((-24)/9)/4. Let o = c - 14. Solve -3 = -2*w + q + o, 5 = -w + 3*q for w. 4 Let q = 61 + -59. Let z be -3 + q + 4 + 7 + 2. Solve -3*h - 3*s = -z, -h + 6*h - 2*s = 13 for h. 3 Let x be 14/(-126) + 92/18. Solve -3*h - 2*h = -2*r + 8, -h - x = 3*r for h. -2 Suppose 81 = 5*i + 381. Let v be -4*i/16*(-1)/(-3). Solve -2*n - 22 = -4*w, -2*w - 2*n + v*n + 21 = 0 for w. 3 Let c = 445 + -425. Solve 4*p - c = l, 2 = -5*l + p - 3 for l. 0 Let r = 134 - 132. Solve 0 = -r*l - 5*u - 8, 3*u + 13 = 5*l + 2 for l. 1 Suppose -f - 2 = -3*p, 6*p - 10*p - 4*f - 8 = 0. Solve p = -4*u - 2*k - 20, u + 4*k + 5 = -7 for u. -4 Suppose 5*c = -5*s - 15, s + 5*c = 7*c + 6. Suppose s*j + 2*j = 18. Let p be (6/(-4))/(j/(-30)). Solve 0 = -t - q + p, -t = 2*t - 3*q - 9 for t. 4 Let n(t) = -9*t**2 - 2*t + 3. Let l be n(2). Let a = -30 - l. Solve -4*z - a = -3*f, -z - 11 + 5 = -5*f for z. -1 Let x be ((-11)/(-2) + -3)*2. Suppose x*a + 8 = 28. Suppose b - 28 - 8 = 0. Solve -3*v - 3*k - 4 + 1 = 0, -4*k + b = -a*v for v. -5 Let v(s) = 6*s + 11. Let k be v(-10). Let m = 49 + k. Solve 0 = -h - 4*w - 15, m = 8*h - 3*h + 4*w + 27 for h. -3 Suppose 204 = -3*x + 20*x. Solve -2*y = 4*h - 12, 4*h - x = -0*h - 5*y for h. 3 Let c = -242 + 249. Solve -3*s = 2*j + 21, -s + c = -3*j - j for s. -5 Let r(n) = -n**2 - n + 16. Let b be r(-4). Solve -2*l = 3*w - 4, -b*w - 1 = -l - 10 for w. 2 Suppose 88 = 5*m - 17. Let t be (8/6 - 0)*m. Let j be 80/t + (-5)/(-35). Solve -3*x = 4*o - 4 - 4, 2*x + j*o - 7 = 0 for x. -4 Let c(o) = 67*o - 197. Let d be c(3). Solve 0 = -s + w - 5, 7*s = 10*s - d*w + 16 for s. -4 Let u(v) = 4*v - 13. Let p be u(2). Let f be ((-10 - p) + 5)*-1. Solve k = z + 5*k - 6, f = -4*z + 4*k + 4 for z. 2 Suppose 2*n - 40 = -4*u, 3*u - 57 - 18 = -4*n. Suppose -n = -2*c - c. Suppose 5*y = 16 - c. Solve 4*z - x - 22 = 0, -y*z + 2*x + 29 = 3*z for z. 5 Let a be -8 - 18/(-4)*(35 - 33). Solve 3*g = 4*l + 20, -l - a = -2*g + 4 for l. -5 Let m(n) be the first derivative of -n**3/3 + 3*n**2/2 + 2*n - 7. Let q be m(2). Suppose -w - q = -2*w. Solve 5*o = 5*c + 20, 5*o + 0*c = -w*c + 2 for o. 2 Let p(f) = -f**3 + f**2 + 3*f - 2. Let h be p(2). Suppose h*z - 5*l - 70 = 4*z, -z = -4*l + 28. Let v be ((-2)/5)/(2/z). Solve -v*o + n = 4*n, -8 = -2*n for o. -3 Let x = 7 - 2. Let i = x - 1. Solve -j = i*v + 14, -4*j - 1 - 11 = 5*v for v. -4 Let n be 0/1 + (9 - 4). Solve -n*h - 8 = 2*s, -h - 5*s + 9*s = -16 for h. 0 Let w(y) = -y**2 + 6*y - 1. Let b be w(6). Let t be (2 - -28)/(b/(-1)). Solve -c + t = -5*v, 4*v - 4*c + 45 = -v for v. -5 Let z(y) = -9*y - 45. Let n be z(-5). Solve -3*t - 5*v + 5 + n = 0, -8 = 4*t + 3*v for t. -5 Suppose -7*l - 53 = -5*s - 4*l, -5*s + 55 = -5*l. Suppose 0*d = d + s. Let n = d - -14. Solve 0 = -4*f - 5*p + n, f - p - 5 = -4*f for f. 1 Let w = -46 + 51. Suppose 0*n - 9 = -2*s - w*n, -2*s + 3*n + 33 = 0. Solve 2*f + 5*p = 2*p - 9, -2*f + 4*p = -s for f. 0 Let f(o) = 15*o + 49. Let b be f(-3). Solve 5*l + 4*j = 3*j + 13, -2*l - b*j = 2 for l. 3 Suppose -5*d = 10*d - 13*d + 4*d. Let i be (-8)/(-1)*(-7)/(-2). Solve -4*z - 5*y + 29 = d, y + 4*y - i = -3*z for z. 1 Let v be (18/15)/((-5)/(-5 - 20)). Let m be (-14)/(-21) + ((-52)/v)/(-2). Solve -m*j + 3 = -0*y + y, -4*y + j = -12 for y. 3 Suppose 4*u - 1 = 3*r, u - 2*u = 5*r - 29. Solve -r*b = -2*d + 26 - 1, -4*b - 20 = -4*d for d. 0 Let x be 980/50 + (-2)/(-5). Solve -2*y - 5*p - x - 10 = 0, 2*y = -2*p - 18 for y. -5 Suppose -3*a + 2 = y, 9*y - a = 4*y - 6. Let x = y - -1. Let h = -25 - -38. Solve -r - b - 2 = x, 0*r - 4*r + b = h for r. -3 Suppose -2*l + 10 = 5*k - 7, -4*l + 4 = 0. Let c be ((-10)/(-6))/(1/k). Let m = 17538 - 17525. Solve -4 = 5*s - s, 3*s + m = c*d for d. 2 Suppose 25*v = 36*v - 99. Solve -2 = 2*w
{ "pile_set_name": "DM Mathematics" }
z c Let w = -1388.3 - -1452. Let q = -67 + w. Let s = -0.7 + q. Which is the closest to -0.2? (a) 2 (b) s (c) -0.5 c Let a = 25 - 27. Let x be (77/(-22))/(a/8). Suppose 4*l + 2 = x. What is the closest to l in 2, -3, 3? 3 Let r = 214.4 - 159. Let q = -55 + r. Which is the closest to 1? (a) 5/3 (b) 1 (c) q b Let v be (-3)/6*-4*1/2. Which is the nearest to 0.1? (a) v (b) -6/31 (c) -0.5 b Let y = -0.17 + -1.93. Let v = -2.2 - y. What is the nearest to -0.1 in -2, 2/9, v? v Let g = -0.3 - -4.8. Let t = g - 4.5. Let z = -8.1 + 8. What is the nearest to 0.2 in z, 3/7, t? t Let n = 58 - 55. Let m = 0.08 - 4.08. Let y = 356/1295 - -2/185. Which is the closest to y? (a) n (b) m (c) -0.2 c Let w = 5 + -6. Let h = -121 - -118.96. Let i = 0.04 + h. What is the nearest to w in i, 0.3, 2? i Suppose 52*g + 53*g - 109*g - 16 = 0. Let q = -2 + -1. What is the closest to q in 0.4, g, -0.2? g Let q = -17 - -13. Let d = 12/91 + -2/7. What is the nearest to -1/3 in d, q, 0.8? d Let r = 0.212 - 5.212. Let a = 8 - 8.1. What is the nearest to -12 in 4, a, r? r Let y(h) = h**2 - 6*h + 4. Let p be y(6). Suppose -2*i + 0 - p = 0. What is the nearest to i in -1/4, 0.06, 3? -1/4 Let i be (13/(-3) - -4)/((-25)/75). Which is the nearest to i? (a) 1 (b) -3 (c) 2/35 a Suppose -2*x + 2*h + 2 = 0, 95*x + 36 = 99*x + 4*h. What is the closest to 2 in -2, x, 3/74, 1/3? 1/3 Let d be -4*(-2)/4*(6 - 4). Let q be 3/6*(-2 - -4). Which is the nearest to q? (a) -1 (b) 0.3 (c) d b Let h(m) = 12 + 141*m**2 - 1 - 2*m - 142*m**2. Let j be h(-4). Which is the closest to -0.1? (a) 11 (b) 5 (c) j c Let g = 95.2 + -94.2. Which is the nearest to g? (a) -1/2 (b) -69 (c) -5 a Let z = -346 - -346. What is the closest to z in -1/7, 2/11, -0.4, 3/10? -1/7 Let v = 0.47 - 0.5. Let a = -643 - -643. What is the closest to 0 in -1/4, v, a? a Let n = -1726 - -1726. Let o be (4/15)/(18/15). Which is the closest to -0.1? (a) n (b) -2 (c) o a Let f(m) = 3*m - 55. Let j be f(-8). Let n = 80 + j. What is the closest to -4 in 0.3, n, -3/8? -3/8 Let t = -331/4 + 82. Let j = -33 + 33.5. What is the nearest to 0 in j, -2/15, t? -2/15 Let n be 42/8 - (-2 - -7). Which is the nearest to 1/20? (a) -1 (b) 4 (c) n c Let y(v) = 3*v - 143. Let c be y(47). Let k(h) = -h + 9. Let w be k(7). What is the nearest to -1/4 in -4, w, c? c Let d = -3.5 - -3.55. Let w = d - 0.35. What is the nearest to 2/7 in 2, w, -3? w Let u = 0.659 + -0.659. Let b be 6/15 - (-92)/20. Let l = 1.6 + -0.6. What is the closest to l in b, -0.5, u? u Let t = -49.9 - -70. Let s = t - 20. What is the closest to 4 in s, -0.2, 2/17? 2/17 Let d be 190/(-35) + (-12)/(-28). Let a = -0.88 + -0.12. What is the closest to a in -2/7, -1/2, d? -1/2 Let i be (-54)/(-56) + (-15)/21. What is the closest to i in 2/9, 1, 0.03? 2/9 Let q = 0.033 - -0.017. Let o = -12 + 14. Which is the nearest to -0.1? (a) o (b) q (c) -2 b Let i(g) = -3*g + 1. Let l be i(-1). Suppose -2*m + 64 = -0*y - 2*y, y = -3*m - 44. Let h be 3/5*y/(-14). What is the closest to 2/3 in -0.5, h, l? h Suppose 0 = -5*m + 75 - 345. Let h be 1/(-2)*m/(-63). Let l = 0.086 + 0.214. Which is the closest to 2/5? (a) h (b) l (c) -0.5 b Let d = 248 + -2228/9. Which is the closest to 3? (a) 2 (b) d (c) -0.5 a Suppose 0*d - 5*d + 64 = -b, 0 = -5*b + 3*d - 210. Let k = -40 - b. What is the nearest to 5/4 in 3, k, 4/3? 4/3 Let d = -181/2 + 899/10. What is the nearest to -0.2 in -4, d, -5/3, 3/4? d Let w = -1.1 + 0.1. Let k = -0.16192 + 0.06192. Which is the closest to w? (a) 10 (b) -2/5 (c) k b Let d = -7 - -20/3. Let n be (-12)/(-30)*20/96. Which is the closest to -2/3? (a) d (b) 2 (c) n a Let y be (-4)/(-12)*2005/(-3). Let r = 223 + y. What is the closest to -2/5 in 0.8, r, 0.3? r Let f = 460 - 923/2. What is the closest to 0.1 in 0.6, f, 1? 0.6 Let t = 667/1120 - -1/224. Let m = 0.71 - 0.01. Let j = m + 0.3. Which is the closest to j? (a) t (b) -1/7 (c) 2/7 a Let i be (6 - 670/105)/(18/(-21)). Let n = -27849/40 - -696. Let y = n - -3/5. What is the nearest to 1/4 in -3/2, i, y? y Suppose 0 = 35*q - 37*q - 2. Let f = -66.1 + 68. Which is the closest to -2? (a) q (b) 1 (c) f a Suppose 34 = -4*k - 13*k. What is the closest to -1/2 in 2/7, 2, -5/6, k? -5/6 Let p = 0.4 - 0.7. Let d = -20649/14 + 212833/126. Let w = d - 214. What is the nearest to -1/3 in 2, w, p? p Suppose 0 = 39*h - 40*h + x - 4, 4*h - 3*x = -12. Which is the closest to 4? (a) -2/7 (b) 1/5 (c) h (d) -0.3 b Let t = -33.8 + 33.9. What is the nearest to t in -4, 0.18, -3/4, -3/5? 0.18 Let j = -19 + 24. Let g = -4.3 - -0.3. Let y = g + 0. What is the nearest to 1 in j, -0.2, y? -0.2 Let u = -25.0881 - 0.0119. Let k = 25 + u. Let v = -2.6 - -0.6. What is the closest to k in 4, -5/2, v? v Let m = -1/78 - 2/13. Let g = -1649 + 1651. What is the closest to -3 in g, -3/7, m? -3/7 Let i = 135 + -123.2. Let w = i - 11. Let n = w - 1. What is the nearest to 1 in -1/9, n, 0? 0 Suppose -r = -3*j + j + 172, 2*j - 5*r - 180 = 0. Suppose j = -21*p + 4*p. Which is the nearest to 0.1? (a) 0 (b) -2/5 (c) p a Let w(i) = i**3 - 2*i**2 - 2*i + 3. Let y be w(2). Let g = 349.6 + -350. Let m = -11 + 7. Which is the nearest to m? (a) 1/4 (b) y (c) g b Let d(x) = -x**2 - 29*x - 1. Let c be d(-29). What is the nearest to 0.3 in -0.09, c, 2/11, 0? 2/11 Let s = -0.6 - -1.6. Let d = -75.5 + 75. Which is the closest to s? (a) d (b) -1/4 (c) 0 c Let t = 0.4 + -0.2. Let s = 1.14 - 0.14. Let g = 0.0138 + -0.1138. What is the closest to s in -4, t, g? t Let k = 47/6 + -28/3. Let i be -2*(2 + -1)*-1. Which is the closest to 0? (a) k (b) -0.4 (c) i b Let d(t) = t**3 + 15*t**2 + 11*t + 16. Let x be d(-14). Suppose x = -5*v + 38. Let i = 0.2 + -0.1. Which is the nearest to i? (a) -0.5 (b) v (c) 4 a Let f = 1.9 - 2. Let w = -1248 - -4991/4. What is the nearest to w in f, 4, -3? f Let g = 38.1 + -38.8. Which is the closest to 2/3? (a) 1/6 (b) 0.5 (c) g b Let j = -26/189 + -4/27. Let u be (-1)/(0 - 22/4). Let y = 0.352 - -0.048. Which is the closest to -1? (a) y (b) u (c) j c Let w = 1771.4 - 1771. What is the closest to 1 in 5, -5, w? w Let p = 1.048 + -0.748. Which is the closest to 2? (a) -0.1 (b) -1/22 (c) -0.3 (d) p d Let z = 581 - 586.37. Let f = -5.4 - z. Let p = 0.4 + -0.5. What is the closest to 2 in -1/6, f, p? f Let l = -2.05 - -0.05. Let m = 1 + l. Let h = -13360 - -13368. What is the closest to m in 5, h, 0.5? 0.5 Let z = -500 - -501. What is the closest to 0 in z, 3, -20? z Let x = -9 - -26. Suppose x + 53 = 5*y. Let n be (6/(-28))/(y/(-49)). Which is the closest to -0.1? (a) -0.4 (b) n (c) 2/9 a Let h = -0.037 - -0.237. Which is the closest to 0.1? (a) -3 (b) 2 (c) h c Suppose -w + n + 9 = 0, -13*w + 17*w + 2*n = 12. What is the closest to -3 in w, -4/5, -0.5? -4/5 Let r = 32.6 - 33. Which is the nearest to 0.2? (a) 2/15 (b) -3 (c) r (d) -5 a Let g = 73/175 - -2/175. Let p = -0.178 - -0.078. What is the nearest to p in -1, g, 3/4? g Let o = -453 + 469. What is the nearest to -1 in -3, 0.3, o? 0.3 Let h = -1/61 - 59/122. Let g be 16/90 + 2/(-5). Let f = -11 - -10.9. Which is the closest to f? (a) h (b) g (c) 3 b Suppose -7 = 5*u - y, 2*u - 3*y = -0*u + 5. What is the closest to -0.04 in -1/3, u, 3? -1/3 Let n = 2.9448 + 0.0732. Let l = 0.018 - n. Let f be 0*(1 + 0/(-1)). Which is the closest to -0.2? (a) 5 (b) f (c) l b Let t be (1/(-3))/((-4)/24). Suppose 0 = 4*l - 8, 0 = v - 4*v - 5*l + 25. Let m = -0.2 + 1.2. What is the nearest to v in t, m, 0? t Let o = -85/6 - -41/3. Which is the nearest to o? (a) -0.04 (b) 1 (c) -3 a Let s = 0.0683 + 153.7317. Let f = -154 + s. What is the nearest to 0.1 in -0.3, f, -8? f Let v = 0.1 + -0.16. Let g = 0.1 - -0.3. Let s = -0.2199 - -0.2199. Which is the nearest to -1/2? (a) s (b) v (c) g b Let y = -0.11 - -16.11. Let g = y - 16.1. Let n = -0.01 - 0.19. Which is the closest to 2/3? (a) 0.4 (b) g (c) n a Let i = 0.2 + 0.1. Let t be (84/35 + 2/(-1))/1. What is the nearest to t in -4, 1/4, i? i Let o = -24.6 + 29.6. What is the nearest to -2/7 in -5, -0.3, -8, o? -0.3 Let s = -583.86 - -584. What is the nearest to 0.1 in -3/8, s, 0.03, -1/3? s Let g = -38 - -38.35. Let k = 0.85 - g. What is the nearest to -1 in 0.2, 0, k? 0 Let t be 2/3
{ "pile_set_name": "DM Mathematics" }
- 2*f(h). What is the units digit of l(3)? 1 Let o(t) = 2*t + 12. Let f be o(-6). Suppose -c + f*c = -3. What is the units digit of c? 3 Suppose -2*k = -4 + 2. Let n = k - -1. Suppose o = -n*o + 12. What is the units digit of o? 4 Suppose v + 0*v = -w - 3, -2*v = -3*w - 9. Let l be (4 + w)/((-1)/(-9)). Suppose j - 6 = 5*p, 3*p = -4*j + l + 38. What is the tens digit of j? 1 Let d(z) = -z**2 + 5*z - 4. Let t be d(4). Suppose 0*n - 2*n + 10 = t. What is the units digit of n? 5 Suppose 5*q - 11 = 4. Let y be (1 + -1)/q - -17. Let w = y + -11. What is the units digit of w? 6 Suppose -5*w + 14 = 3*o, -2*o - 2*o = 2*w. Suppose -b + 0*l + 2*l = -21, -72 = -4*b - w*l. What is the tens digit of b? 1 Suppose q + 5*a - 12 = -0, 3*q + 15 = 2*a. Let o(b) = b**3 + 5*b**2 + b - 2. What is the tens digit of o(q)? 1 Let i = 61 + -6. Suppose 4*o + o - i = 0. What is the tens digit of o? 1 Suppose -64 = -5*l + 3*u - 15, 2*u = 5*l - 51. Let i = l - -9. What is the tens digit of i? 2 Suppose 6 = 4*n - 6. Suppose -2*s = s - n. What is the units digit of s? 1 Suppose 0 = -2*u - 2*u. Suppose 0 = 3*g - u*g + 15. What is the units digit of (-29)/g + 2/10? 6 Let y be -2*2/4*-7. Let u = y + -19. Let n = -8 - u. What is the units digit of n? 4 Suppose 3*q + q - 20 = 0. Suppose 11 = -q*p + 146. What is the units digit of p? 7 Let p(o) = 2*o - 1. Let j(h) = -6*h + 4. Let k(i) = -2*j(i) - 7*p(i). Suppose g = -1 - 3. What is the units digit of k(g)? 7 Suppose 5*l = l - 2*o - 12, -8 = 2*o. Let a be l - -27 - (-1 + 2). Suppose -3*y + p - 2*p = -a, y - 7 = -p. What is the units digit of y? 9 Suppose 0 = -4*k + 14 + 122. Suppose 2*g = -4*v + k, -4*v - 5*g = -g - 28. What is the units digit of v? 0 Suppose -u + 2*w = u - 10, -2*w = 3*u - 20. Suppose 3*y + 3 = u. What is the units digit of y? 1 What is the units digit of (-153)/(-12) + 3/(-4)? 2 Let v be 447/15 + 1/5. Let o = -15 + v. What is the tens digit of o? 1 Let c = 9 - 32. Let x = c - -83. Suppose -2*h = h - x. What is the units digit of h? 0 Let i = 10 + -1. Suppose 3*f - 84 + i = 0. What is the tens digit of f? 2 Let b(v) = -v + 7. Let l be b(5). Suppose n + l*n - 6 = 0. Suppose n*z = 5*c + 7, 42 = 3*z - c - 1. What is the tens digit of z? 1 What is the units digit of ((-93)/(-9))/(1/3)? 1 Let f be 12 + (-2 - 2) + 1. Suppose 3*z - 84 + f = 0. What is the tens digit of z? 2 Let a(h) = -3*h. Let n be a(-1). Suppose 5*b - n*l - 19 = 0, l = 5*b - l - 21. What is the tens digit of (1 - -18) + (-10)/b? 1 Let t = 32 + 43. What is the tens digit of t? 7 Let i(o) = -o**3 + o**2 + 2*o + 18. What is the tens digit of i(-5)? 5 Let w(p) = -2*p**3 - 2*p**2 + 2. Let o be w(-2). What is the units digit of (24/o)/((-9)/(-30))? 8 Suppose 0 = -8*o + 5*o + 144. What is the tens digit of o? 4 Suppose 0 = 5*h - h - 152. What is the tens digit of h? 3 Suppose -31 = -4*j - 3*w, 0*w + 20 = 4*w. Suppose 3*s + 47 = j*s. What is the units digit of s? 7 What is the units digit of (-1)/((-1)/243) - (1 + -2)? 4 Let j(s) = -6*s - 5. Suppose -5*y - 16 = -y. Let l be j(y). Suppose -t - l = 2*t - 5*b, 3*b = t + 13. What is the units digit of t? 2 Let r(p) = p**3 + 7*p**2 + 6*p + 5. Let i be r(-6). Suppose -2*b + x - 2 = -i*b, 0 = -3*x + 6. Let a(z) = -z + 9. What is the units digit of a(b)? 9 Let c be 12/(-16) - 3/(-4). What is the tens digit of c - -8 - (-9)/3? 1 Let l(d) = d**3 - 5*d**2 + 2*d + 2. Let b be l(2). Let v be (2 + 0)/(b/42). What is the units digit of 3/9 - v/3? 5 Let f = -4 - -8. Suppose -56 = -f*z - 4*b, 5*b - 8 = 7. What is the units digit of z? 1 Let f = 81 + -52. Suppose -18 = 4*j - 5*j + h, -3*j = 2*h - f. What is the tens digit of j? 1 Suppose 3*a - 5*a = -64. Let b = a + -16. What is the tens digit of b? 1 Let p(h) = 6 + 0*h**2 - h**2 - 5 - 10*h. What is the units digit of p(-8)? 7 Let n(d) = d + 1. Let b be n(-1). Suppose 10 = 2*z - 2*q - 70, -2*z - 3*q + 65 = b. What is the units digit of z? 7 Let f(z) = 3*z + z**3 - 7*z**2 + 2 - 2 + 6*z. What is the units digit of f(6)? 8 Suppose -2*u = 2*g + 16 - 138, 3*g - 303 = -5*u. What is the units digit of u? 0 Suppose 0 = -2*z + 3*z - 3*l + 1, 4*l = -z + 13. Suppose 0*o - 23 = -f - z*o, 3 = 5*f - 3*o. What is the units digit of f? 3 Let b(a) = -a - 1. Let n be (-10 + 7)*(-8)/(-3). Let m be b(n). Suppose 2*y + 35 = 5*h + m*y, 3*y + 39 = 3*h. What is the tens digit of h? 1 Let a(x) = x**2 - 9*x - 7. Let c be a(10). Suppose 9 = c*d - 21. What is the tens digit of d? 1 Let h = 5 - 3. Suppose z - h*z = 3. What is the tens digit of 4 + z + 0 - -12? 1 Let o(u) = 2*u**2 - 8*u - 15. What is the tens digit of o(-4)? 4 What is the units digit of 34*(-2 - 9/(-3))? 4 Let m = -3 + 36. What is the units digit of m? 3 Suppose f = -u + 4*u - 218, -5*f = -u + 54. What is the units digit of u? 4 Let l be (1 - -1)/((-4)/26). Suppose 0 = 2*p - p - 22. Let d = p + l. What is the units digit of d? 9 Suppose s + 16 = 5*g, -2*g + 2*s = -0*s. Suppose 0 = -g*f + 3 + 61. What is the tens digit of f? 1 Let n(q) = -q + 2. Let r be n(0). Suppose 3*k + 15 = 4*c + 4*k, -2*k - r = 0. What is the units digit of c? 4 Suppose 3 = 3*l - 2*l. Suppose 6*w = l*w + 15. What is the units digit of w? 5 Suppose 5*k + 4*f - 220 = 0, 149 = -3*k + 6*k - f. What is the units digit of k? 8 Suppose -m + 5*i + 4 = 0, 0*m - 5*i - 8 = -2*m. What is the units digit of (m - 2) + 1*-1? 1 Let y = 20 - -3. Suppose 0*u = u - y. What is the tens digit of u? 2 Let b be ((-8)/3)/((-3)/9). Let r = b + 2. What is the units digit of r? 0 Suppose 0 = -11*h + 6*h - 30. Let u = h + -2. What is the units digit of 34/9 - u/36? 4 What is the units digit of 1 - 33/27 - (-7360)/72? 2 Let p = -2 + 7. Suppose 3*q + 0*q = -p*d + 30, 3*q - 6 = 3*d. Suppose -4 = a, 2*a - 13 = -r + d*a. What is the units digit of r? 9 Suppose 15 = 3*a - 6. Let q = 11 - a. Suppose 5*r - q*r = 11. What is the units digit of r? 1 Let l be ((-1)/3)/(2/(-12)). Suppose -5*p + 5*w + 151 = -19, -l*p + 64 = -w. What is the tens digit of p? 3 Let g = 8 + -4. Suppose 0 = 3*l + g*t + 14 - 6, 4*l - 26 = 2*t. Suppose -5*j = -5*b + l*b - 34, 8 = -2*b. What is the units digit of j? 6 Suppose 39 + 17 = -4*r. Let b be 2/7 + (-136)/r. Let x(j) = j**2 - 9*j - 3. What is the units digit of x(b)? 7 Let l(r) be the third derivative of -r**4/8 - 2*r**3/3 + 2*r**2. Let d be l(-3). Suppose 2*h - 9 = d. What is the units digit of h? 7 Suppose 5*g + 29 = -306. Let u = -40 - g. Let q = u + -18. What is the units digit of q? 9 Let w(h) = 26*h**3 - h**2 - h + 1. What is the tens digit of w(1)? 2 Suppose 0 = 4*f - 4*w - 20 - 20, 5*f + 2*w = 15. What is the units digit of f? 5 Suppose -o = -4*o - s + 11, 3 = -o + 3*s. What is the units digit of 1*o + 2 + -4? 1 Let w(j) = j**3 + 2*j**2 - 5*j + 2. Let g be w(-4). Let k be ((-1)/2)/((-2)/(-24)). Let i = k - g. What is the units digit of i? 4 Suppose k = -k - 2*o + 350, -4*k + 2*o = -682. What is the hundreds digit of k? 1 Let p(k) = 1 + 0 + 0*k - 2*k + 0*k. Let x be p(-2). Suppose h - o - 7 = 0, 0 = -x*h + 4*o - 2*o + 26. What is the units digit of h? 4 Let w(q) = -9*q + 1. What is the units digit of w(-1)? 0 What is the units digit of 1*2*(8 + 8)? 2 Let r = -7 - -10. Let s = 3 - r. Suppose -4*t + 0*t + 12 = s. What is the units digit of t? 3 Suppose 0 = 2*c + 10, -6*c - 330 = -5*s - 3*c. What is the units digit of s? 3 Suppose -k = -6*k - 2*i + 723, 3*k + 2*i - 437 = 0. What is the tens digit of k? 4 Let q(z) = 2*z**2 - z + 93. What is the tens digit of q(0)? 9 Let t = 38 - -23. What is the tens digit of t? 6 Let f(o) = -o**2 + 4*o + 4. Let g be f(4). What is the tens digit of 49/g - 1/4? 1 Let h = 15 - 11. Let u = h - -3. What is the units digit of u? 7 Suppose 4*i = 8*i - 20, 0 = -4*b + 3*i - 75. Let a = b + 24. What is the units digit of a? 9 Let s(l) = -l**3 - 4*l**2 - 4*l - 7. What is the tens digit of s(-5)? 3 Let m(p) = 2*p**3 + p**2 - p - 2. Let l be m(-2). Let i = 53 + -32. Let d = i + l. What is the units digit of d? 9 Let i(k) = 2*k**2 + 3*k - 4. What is the units digit of i(-5)? 1 Let b = 0 + -2. What is the units digit of 66/4 - b/4? 7 Let y(v) = -7*v**3 - 2*v**2 + 2*v - 2. Let u(p) = 3*p**3 + p**2 - p + 1. Let d(h) = 9*u(h) + 4*y(h). Let r be d(0). What is the units digit of (-2)/r*(4 + -5)? 2 Suppose 4*n + 13 + 12 = y, 16 = y + 5*n. What is the tens
{ "pile_set_name": "DM Mathematics" }
ppose -5*z + x*o + 60 = -83, 4*z - 108 = -4*o. What is the units digit of z? 8 Let h = -5208 + 8982. What is the tens digit of h? 7 Suppose -7*a + 22 = 4*a. What is the tens digit of (316 - a)/1 - 50/(-10)? 1 Suppose x - 1 = 10. Suppose x*j - 5*j - 744 = 0. Suppose -4*s + 60 = -j. What is the tens digit of s? 4 What is the thousands digit of 7260077/1032 - 4/(-96)? 7 Suppose -587392 - 241510 = -166*i + 5044344. What is the tens digit of i? 8 Let d(w) = -w - 47. Let m be d(-14). Let r = m - -34. Let c(u) = 56*u + 2. What is the units digit of c(r)? 8 Suppose 4*x = -2*a + a + 6090, 2*x = a - 6054. What is the tens digit of a? 6 Let u(z) = 16*z**3 - 12*z**3 + 18*z**2 + 6 - 9*z**3. Let r(q) = q**3 - q + 1. Let f(o) = -4*r(o) - u(o). What is the units digit of f(18)? 2 Let l(w) = w**3 - 11*w**2 + 28*w - 64. Let p be l(6). Let f = -12 - 23. Let c = f - p. What is the tens digit of c? 4 Suppose f - 95 = 4*n + 336, 3*n - 1278 = -3*f. Let r = -39 + f. What is the units digit of r? 8 Let i be -3 + (-246)/(-22) - 8/44. Suppose 2907 - 627 = i*z. What is the hundreds digit of z? 2 Let p be (-2)/(-6) - (-6)/9 - 43. Let k = -24 - p. Suppose 2*n = n - 4*a - 14, -n - 5*a = k. What is the units digit of n? 2 Suppose -333*r - 1229816 = -9960743. What is the units digit of r? 9 Let s be (27/2)/(10 + (-114)/12). Suppose 17276 = s*c + c. What is the tens digit of c? 1 Suppose 0 = -19*s - 21*s - 4*s. Let n(q) = 56*q + 4. What is the units digit of n(s)? 4 Suppose t + 68*h - 5232 = 70*h, h - 20982 = -4*t. What is the units digit of t? 4 Suppose -3*x + 3881 + 1416 = -4*h, 1765 = x - h. What is the thousands digit of x? 1 Let s(c) be the third derivative of -c**6/20 - c**5/60 - 5*c**4/24 - 2*c**3/3 + c**2. Suppose 140 = -53*r - 17*r. What is the tens digit of s(r)? 5 Suppose -202*l + 210*l - 1688 = 0. Suppose -a = -l - 139. What is the tens digit of a? 5 Suppose -5*m - 3*p + 8 = 0, m - 2*p + 1 = -0*m. Let c be (-119)/(-17) - (m - 0). What is the tens digit of c/18 - (116/(-3) + -1)? 4 Let d = 359 - 366. Let i(n) = -10*n**2 - 16*n - 6. Let o(k) = -k**2. Let g(v) = -i(v) + 6*o(v). What is the tens digit of g(d)? 9 Let b = 21 + -11. Suppose -11 = -p + b. Suppose -20*f = -p*f + 114. What is the hundreds digit of f? 1 Let j(o) = 2*o**2 + 28*o + 47. Let c be -1*(-3 - -4) + -19 + 2. What is the units digit of j(c)? 1 Let y = -60 + 48. Let f be ((-3)/2)/(2/y). Suppose 5*n + 276 = f*n. What is the tens digit of n? 6 Let q be (-2)/8 - (-310)/(-8). Let n = 133 + -105. Let j = n - q. What is the units digit of j? 7 Let v(q) = -q**3 - 22*q**2 - 145*q + 6. What is the tens digit of v(-12)? 0 Suppose 0 = 5*m - 3*s - 44, 7*m - 3*s = 3*m + 34. Suppose m*i = 26*i - 6096. What is the tens digit of i? 8 Let v(r) = 529*r**3 + r**2 + 3*r - 50. What is the hundreds digit of v(3)? 2 Let k be 572/10 - ((-2)/(-5))/2. Suppose -3*z + 435 = k. Suppose -5*t = -3*t - z. What is the units digit of t? 3 Let b(o) = -41*o - 11. Let i be b(9). Let c = -161 - i. What is the tens digit of c? 1 Let n = -1852 + 2381. What is the units digit of n? 9 Suppose 0 = 4*u + 4*f - 61924, -7 = -5*f + 4*f. What is the hundreds digit of u? 4 Suppose 0 = -3*p + 33*p - 4*p - 1084200. What is the ten thousands digit of p? 4 Let r(b) = -1806*b - 6. Let d be r(-2). Suppose -6*q = 192 - d. What is the units digit of q? 9 Let l = 48 - 22. Suppose 2*k = l - 20. Let m(y) = 38*y - 1. What is the units digit of m(k)? 3 Let n(g) = 7*g**2 + 56*g - 9. Let b(s) = -3*s**2 - 28*s + 5. Let r(a) = -9*b(a) - 4*n(a). Let y be r(14). Suppose -6*i = -47 - y. What is the tens digit of i? 3 Let n = -33 + 123. Suppose 5*c + n = x, -4*x + 4*c + 210 = -86. What is the tens digit of x - (-10)/(-1 - 4)? 6 Let i(x) = 7*x - 13. Let f be i(3). What is the tens digit of (-1 - (-3812)/f) + 21/14? 7 Suppose -80*b + 8687 = -118*b + 356311. What is the tens digit of b? 4 Let i(h) be the second derivative of 0 + 17/2*h**2 - 1/2*h**3 + 1/6*h**4 + 35*h. What is the tens digit of i(-10)? 4 Let n(g) = 11*g + 92. Let d be n(-8). What is the tens digit of (-24)/20*30/d*-6? 5 Let d be 2/20 + (-8)/80. Suppose d = 5*l + 5, l + 652 = w - l. What is the units digit of w? 0 Suppose -281428 = -19*a - 19*a + 15*a. What is the thousands digit of a? 2 Let m be 3/(-7) + (-130)/(-91). Suppose 5*w = 4*p - m, -5*w + 10*w = p + 11. What is the tens digit of ((-23)/w)/(22/(-132))? 4 Let m = -48251 - -61043. What is the tens digit of m? 9 Suppose 18*m - 203 = 11*m. Let d = 258 + m. Suppose -5*b = -23 - d. What is the units digit of b? 2 Suppose -5*v = -2*y - 7, -33 = 5*y + v + 2*v. Let l be (-16)/y - 2 - (-72)/(-27). What is the units digit of (-30)/(-10) - l*11? 5 Let r(p) = -276*p + 2169. What is the units digit of r(-63)? 7 Let c(f) = -5*f**3 + f**2 + f - 1. Let j be c(1). Let m = j + -117. Let k = 298 + m. What is the hundreds digit of k? 1 Suppose 5*b + 34877 - 8177 = a, -3*a = -3*b - 80064. Suppose -6298 = 29*x - a. What is the hundreds digit of x? 7 Let y = 6048 + -6044. Let v = 1575 - 907. Suppose -4*q + 1 = 17, -y*s = -4*q - v. What is the tens digit of s? 6 Let z(w) = -7*w**2 - 1185*w - 18. What is the hundreds digit of z(-12)? 1 Let w be ((-27819)/132)/((-6)/8). Suppose 2 = -v - a - 9, 0 = 3*v + 5*a + 35. Let o = w - v. What is the tens digit of o? 9 Suppose -155*m + 136 = -138*m. What is the tens digit of 1198*(76/m + -9)? 9 Let p = 78 - 73. Let c = 3 - p. What is the units digit of ((-42)/(-1))/(-7)*41/c? 3 Suppose i = 2*c - 25917, -10*i + 14*i - 4 = 0. What is the units digit of c? 9 Let f be ((-24)/(-9))/((-2)/3). Let g(m) = 5*m**3 - 3*m**2 - 3*m. Let q be g(2). What is the units digit of f/q + 4 + (-4300)/(-55)? 2 Let a(c) = 23*c**2 - 266*c + 29. What is the hundreds digit of a(-15)? 1 Let v = -448 + 451. Suppose 5*l + 620 = 4*n, -2*n + v*l + 78 = -234. What is the units digit of n? 0 Let g(z) = 6*z - 2. Let t be g(1). Suppose 5*p = -t*c + 5203, 2098 = -2*p + 4*p - 4*c. Suppose 65 = -6*f + p. What is the hundreds digit of f? 1 Let v be (6/3 - 1) + 3 + -3. Let c be 3 + (1 - v)/2. What is the units digit of (-5)/25*1790/(-6)*c? 9 Let x(z) = -28*z**3 + 44*z**2 + 307*z - 13. What is the ten thousands digit of x(-9)? 2 Let b(m) be the second derivative of -m**4/3 + 23*m**3/3 + 13*m**2/2 + 26*m + 1. What is the tens digit of b(11)? 3 Let b = 4967 - 2708. Let d = b - 1611. What is the tens digit of d? 4 Suppose -15012 = 8*b - 44*b. Let g = b - -184. What is the hundreds digit of g? 6 Let x = 218 - 14. Let l = -40 + x. What is the hundreds digit of l? 1 Suppose 3*u + 2*m = 12, -3*u + 0*m - 5*m = -21. Suppose -n + 12 = 3*p, -p = n - 0*n - u. Suppose -p*g + 180 = -0*g. What is the tens digit of g? 3 Let o be 3596/18 + (-6)/(-27). Suppose 5*p + o = -405. Let z = p + 174. What is the units digit of z? 3 Let t be -1 + (70/22 - (-10)/(-55)). Suppose 5*h = 5*b + 1 - 21, -t*b = h - 11. What is the units digit of h*4 + (-92)/(-4)? 7 Let z be 9/27 - 130/(-6). Let a = z - 22. Suppose a*g + 816 = 8*g. What is the hundreds digit of g? 1 Suppose -30*a + 25*a + 10 = 0. Suppose -a*z = -55 - 119. Suppose o - 66 = z. What is the tens digit of o? 5 Let z = 29891 + -5259. What is the hundreds digit of z? 6 Let l = 4 + 0. Suppose -l*k = 5*g + 115, 4*g + 5*k + 66 = -17. What is the tens digit of (-6)/g*-3*-99? 6 Let d be (-170)/(-14) - (-1)/(-7). Suppose -16*n + d*n = -776. Suppose -5*t = -2*f + n, -265 = -0*f - 3*f + t. What is the tens digit of f? 8 Suppose -12*a - 931 = 2*p - 17*a, 5*p + 2316 = a. Let r = 58 - p. What is the tens digit of r? 2 Suppose 19557 = 6*a - 6951. Suppose 8*q - 326 = a. Suppose 16 + q = 7*v. What is the tens digit of v? 8 Suppose -2*a - 5*a = -427. Let h = -44 + a. Suppose h + 12 = v. What is the units digit of v? 9 Let k = 4573 - 2812. What is the units digit of k? 1 Suppose -2*f - 5*v - 74 = 0, -5*f - 9*v - 170 = -4*v. Let q = f - -979. What is the units digit of q? 7 Suppose 0 = 2*u - 51*w + 53*w - 220, -w = -2*u + 220. What is the units digit of u? 0 Let l be ((-25)/50)/(1/(-6)). Suppose 152 = v - 0*s + l*s, 2*s = 4. What is the units digit of v? 6 Suppose 1333*o = 1343*o + 31550 - 82690. What is the hundreds digit of o? 1 Let h(c) = 243*c + 707. What is the thousands digit of h(47)? 2 Suppose -4*o = -2*y - 1321 - 1289, -4*o = -4*y - 2616. Suppose o = 4*d - 4
{ "pile_set_name": "DM Mathematics" }
u. 15 Let x be (-9)/(288/(-40))*4. Let g(m) = 2*m**3 - 4*m**2 + 3*m + 13. Calculate the remainder when g(x) is divided by 30. 28 Suppose -4*k = -4, 4*k = 4*j - 640 - 308. Suppose 6*u - j = 4*u. Let w = 10268 - 10244. What is the remainder when u is divided by w? 23 Suppose -4*x + 10 = -3*x. Let b(f) = 5*f**2 + 115*f + 557. What is the remainder when b(-19) is divided by x? 7 Let h = -4263 - -4587. Calculate the remainder when 649 is divided by h. 1 What is the remainder when 4014 is divided by 626/(-4069) - (-2552)/26? 94 Let h = -22807 + 23929. What is the remainder when 3376 is divided by h? 10 Suppose -13*a - 3 + 68 = 0. Let q = 114 + -80. What is the remainder when q is divided by a? 4 Let g(c) = -293*c + 2554. What is the remainder when 756 is divided by g(8)? 126 Let t(x) = -107*x + 35. Let b(w) = -76*w + 24. Let l(q) = 7*b(q) - 5*t(q). Let n = -1 - -7. Calculate the remainder when l(n) is divided by 3. 2 Let v(r) = -r**3 - 4*r**2 - 62. Let n = -253 + 247. Calculate the remainder when 70 is divided by v(n). 0 Let f(g) = -g + 2. Let r = 115430 - 115414. What is the remainder when r is divided by f(-3)? 1 Let p be 2760/90*(-1 + (-5)/(-2)). Let c = -10 + p. Suppose -j = 5*h + 7 - 1, 5*j - c = -3*h. What is the remainder when 44 is divided by j? 8 Let l = -1412 + 1436. What is the remainder when l is divided by (12 + 1)/(1 - 0)? 11 Let b(g) = -13*g**2 + 281*g - 46. What is the remainder when b(19) is divided by 311? 289 Suppose -u - 5*a + 88 = 0, -3*a - 115 = -u + a. What is the remainder when 431 is divided by u? 19 Suppose 127*d = -3*z + 122*d + 1320, -6 = -d. What is the remainder when z is divided by 20? 10 Suppose -5*y = -4*r + 671, r + 2*y - 173 = -2*y. Suppose r = 3*o - 65. What is the remainder when o is divided by (-181)/(-9) - 245/2205? 18 Let u(k) = 2*k**2 - 2*k + 1. Suppose 4073 + 2752 = 85*a + 90*a. What is the remainder when a is divided by u(3)? 0 Suppose 5*n = -25, 0*x - 5*n + 173 = 2*x. Let a = x - 60. What is the remainder when 151 is divided by a? 34 Let h(v) = -44*v + 2578. What is the remainder when 190 is divided by h(58)? 8 Let v be 292/3*19/(38/3). Suppose -783 = -v*r + 137*r. Calculate the remainder when r is divided by 24. 15 Suppose -15512 = -1070*u + 1063*u. Calculate the remainder when u is divided by 111. 107 Let w be (-4284)/154 + (-2)/11. Let h = 30 + w. Suppose h*v - 52 = -4*c, 4*v - 5*v - 64 = -4*c. Calculate the remainder when c is divided by 4. 3 Let o(c) = -c - 1. Let g be o(6). Suppose 8 = 3*w - 13. Calculate the remainder when ((-9)/(-2))/(g + (-1035)/(-144)) is divided by w. 3 Let o(x) = x**2 + 25*x + 41. Let i(s) = -s**3 - 14*s**2 - 15*s - 50. Let z be i(-13). What is the remainder when 27 is divided by o(z)? 10 Let u(a) = -a**3 - 13*a**2 + 29*a - 26. Let l be u(-14). Let z = -212 - l. Suppose 70 = b - 0*b. What is the remainder when b is divided by z? 22 Suppose 298*i - 43247 + 11659 = 0. Calculate the remainder when 212 is divided by i. 0 Let p = 511 - 241. Let c(s) = 6*s**3 - 31*s**2 + 8*s + 6. Calculate the remainder when p is divided by c(5). 18 Suppose 40*y - 57*y = -153. Suppose -y*d + 11*d + 5*z = 40, 0 = 4*z - 16. Calculate the remainder when 76 is divided by d. 6 Suppose -30*f - 31*f = -4575. What is the remainder when 1271 is divided by f? 71 Suppose 1197*m = 1181*m + 4368. Calculate the remainder when m is divided by 46. 43 Suppose u = -1, 0 = 5*h + 7*u - 11*u - 429. Calculate the remainder when h is divided by 7. 1 Let w(p) = p**2 - 4*p - 4. Suppose -3*q = 7 + 8. Calculate the remainder when w(q) is divided by (-2 - (0 - 1))/(79/(-1896)). 17 Let g(a) = a**3 + 6*a**2 + 35. What is the remainder when 356 is divided by g(-4)? 21 Suppose -5*s + 4*p = 16, 2*s + 4*p - 3 - 13 = 0. What is the remainder when (646/60 + 4/10)/(-260*(-70)/109200) is divided by -10*((-2)/2 + s)? 7 Let p(u) = 18*u + 98. Let z be p(-6). What is the remainder when 243/5 + z/(-25) is divided by 10? 9 Suppose 3*o - 1606 = 6*f - f, 2*f + 649 = -o. Let h = f + 573. Calculate the remainder when h is divided by 76. 22 What is the remainder when ((-68)/3)/((-24)/612) is divided by 27? 11 Let z(t) = 4*t**2 + 56*t + 13. Let h(c) = 4*c**2 + 54*c + 12. Let k(o) = -7*h(o) + 6*z(o). What is the remainder when k(-5) is divided by 20? 4 Suppose -1587 - 447 = 18*x. Let n = -109 - x. What is the remainder when 121 is divided by n? 1 Let j be ((-8)/10)/((-8)/80*2). Suppose -g + 18 = j*t, 3*g - 40 = -0*g - 5*t. What is the remainder when g is divided by 3? 1 Suppose -4*v = -2*m + 612, 5*m - 1515 = -1074*v + 1079*v. Calculate the remainder when 904 is divided by m. 4 Suppose -v + 26 = -3. Let t = -40 - -84. What is the remainder when t is divided by v? 15 Let f(b) = 7*b**3 - 15*b**2 + 16*b + 4. Calculate the remainder when 326 is divided by f(2). 6 Suppose -3*y - 7*y = -33*y + 18170. Calculate the remainder when y is divided by 193. 18 Suppose -4 = p, 2*y - 3*p - 20 = -0*y. Suppose 5*f - 6*f = 3*i - 43, y*f + 84 = 4*i. Calculate the remainder when i is divided by 2. 0 Let n = 2777 - 2736. Calculate the remainder when 939 is divided by n. 37 Suppose -793*l + 920*l - 840994 = 0. Calculate the remainder when l is divided by 18. 16 Let j = 24444 + -24396. Calculate the remainder when j is divided by (0 - -1) + 120/6. 6 Let y(r) = -17*r + 120. Let n be y(4). Suppose n = -8*m + 548. What is the remainder when 244 is divided by m? 58 Suppose i = m + 1478 - 522, 0 = -3*i + m + 2870. What is the remainder when i is divided by 96? 93 Suppose -10*a + 8*a = -10. Suppose 4*f = -2*j + 372, -a*j + 186 = 2*f - j. Suppose -10*s = -7*s - f. What is the remainder when s is divided by 16? 15 Let y = 91 - 23. Suppose 0 = -2*o - 5*h + y, o - 4*h = 3*o - 68. What is the remainder when 63 is divided by o? 29 Let x = -3506 - -5454. What is the remainder when x is divided by 6? 4 Suppose -102*p + 4*c = -99*p - 237, 344 = 4*p + 4*c. What is the remainder when 1487 is divided by p? 76 Let v(o) = -16*o**3 + 26*o**2 + 7*o + 10. Calculate the remainder when v(-4) is divided by 23. 19 Let v(w) = -w + 28. Let x be v(0). Let t = -18 + x. Let k(m) = -m**3 + 12*m**2 - 15*m + 4. What is the remainder when k(t) is divided by 14? 12 Calculate the remainder when (15 + -13)*310/4 is divided by 79. 76 Suppose 2*w = -3*k + 27, -2*k + 33 = 4*w - w. Suppose 0 = 17*r - 10*r + 714. Let f = r + 225. What is the remainder when f is divided by w? 6 Suppose 22 = 9*b - 23. Suppose 0 = 5*c + 2*x - 249, -b*x - 19 + 176 = 3*c. Calculate the remainder when c is divided by 26. 23 Let r(b) = 59*b**2 - 707*b + 237. Calculate the remainder when r(31) is divided by 13. 10 Suppose -4*y + 0*y + 5*l + 3452 = 0, -l - 4315 = -5*y. Calculate the remainder when y is divided by 140. 23 Let h(v) = -v**3 - v**2 + 3*v + 785. Calculate the remainder when h(0) is divided by 213. 146 Let r = -281 - -371. What is the remainder when 269 is divided by r? 89 Calculate the remainder when 2010 is divided by 456/(-18)*(-48)/32. 34 Let l = -29 + 60. Suppose -3*u + r = -40, u - 3*u + l = -5*r. Suppose u*g = 11*g + 146. Calculate the remainder when g is divided by 19. 16 Suppose -5*f + 5 = 3*r, 0*r = 3*f + 3*r + 3. Suppose -2*i + 15 = d, 5*i + f*d - 50 + 8 = 0. Calculate the remainder when i is divided by 3. 0 Let d be (-140)/(-2) + 5/(3 + -8). Suppose j - 5*m = d, 2*j - 6*m = -8*m + 102. Calculate the remainder when 215 is divided by j. 53 Suppose 0 = -3*o + 2*q + 20, 0 = -0*o - 3*o + 3*q + 24. Let l be ((-18)/3 + -3)*o/1. Let u = 51 + l. Calculate the remainder when 25 is divided by u. 10 Let f be (1 - (-27)/5) + (-14)/35. Let x be f*(-15)/(-2)*(-10)/(-50). Suppose -x + 59 = 10*b. Calculate the remainder when 19 is divided by b. 4 Suppose 40*r + 798 = 59*r. Suppose -43*m + 21 = -r*m. What is the remainder when 60 is divided by m? 18 Let d(p) = -6*p**3 + 2*p**2 + 2*p + 1. Let r(w) = 51*w + 196. Let a be r(-5). Calculate the remainder when a/(-5) - ((-78)/15 - -6) is divided by d(-1). 4 Suppose 3*s + 1 = d - 4, -8 = -4*s. Let k(u) = 3*u**2 + d*u - u**2 + u. Calculate the remainder when 39 is divided by k(-7). 11 Let n = 509 + -504. Suppose -x = 4*k - 306, -2*k + 195 - 31 = -n*x. Calculate the remainder when k is divided by 10. 7 Suppose 4*g - 6*g + 1424 = 0. What is the remainder when g is divided by ((-19747)/(-3822
{ "pile_set_name": "DM Mathematics" }
6*q**2 - 2*q - 18 What is the n'th term of 1, 24, 69, 142, 249, 396, 589, 834? n**3 + 5*n**2 + n - 6 What is the s'th term of 4596, 9200, 13804, 18408, 23012, 27616? 4604*s - 8 What is the u'th term of -996, -994, -982, -954, -904, -826? u**3 - u**2 - 2*u - 994 What is the z'th term of 441, 881, 1321? 440*z + 1 What is the k'th term of 228, 231, 234, 237, 240, 243? 3*k + 225 What is the h'th term of -10688, -21376, -32064, -42752, -53440, -64128? -10688*h What is the i'th term of -66, -70, -76, -84, -94? -i**2 - i - 64 What is the u'th term of 59, 39, 31, 41, 75, 139, 239? u**3 - 27*u + 85 What is the n'th term of -43, -57, -45, -1, 81, 207? n**3 + 7*n**2 - 42*n - 9 What is the i'th term of 21, 25, 19, -3, -47, -119, -225, -371? -i**3 + i**2 + 8*i + 13 What is the n'th term of 1090, 2171, 3238, 4285, 5306, 6295, 7246, 8153? -n**3 - n**2 + 1091*n + 1 What is the g'th term of -119, -102, -85, -68, -51, -34? 17*g - 136 What is the l'th term of -6, 20, 50, 84, 122, 164? 2*l**2 + 20*l - 28 What is the m'th term of -28, -259, -884, -2101, -4108, -7103? -33*m**3 + m**2 - 3*m + 7 What is the c'th term of 10, 4, -18, -56, -110, -180, -266? -8*c**2 + 18*c What is the r'th term of 668, 1328, 1982, 2630? -3*r**2 + 669*r + 2 What is the g'th term of -324, -320, -314, -306, -296, -284? g**2 + g - 326 What is the z'th term of 0, -22, -58, -114, -196, -310, -462, -658? -z**3 - z**2 - 12*z + 14 What is the a'th term of -20, -30, -34, -38, -48, -70, -110, -174? -a**3 + 9*a**2 - 30*a + 2 What is the m'th term of -5972, -11946, -17920? -5974*m + 2 What is the f'th term of 6, -4, -22, -48, -82, -124, -174? -4*f**2 + 2*f + 8 What is the c'th term of 1012, 2023, 3034? 1011*c + 1 What is the h'th term of 75, 123, 169, 213, 255, 295? -h**2 + 51*h + 25 What is the d'th term of -1180, -2366, -3552, -4738, -5924? -1186*d + 6 What is the c'th term of 22, 44, 80, 130, 194, 272, 364? 7*c**2 + c + 14 What is the u'th term of -4, -30, -70, -124, -192, -274, -370? -7*u**2 - 5*u + 8 What is the p'th term of 8, 48, 118, 218, 348, 508? 15*p**2 - 5*p - 2 What is the v'th term of 1405, 1395, 1371, 1327, 1257, 1155? -v**3 - v**2 + 1407 What is the p'th term of 21, 8, -27, -96, -211, -384, -627, -952? -2*p**3 + p**2 - 2*p + 24 What is the o'th term of 189, 190, 191, 192, 193? o + 188 What is the x'th term of 3, 32, 91, 192, 347? 2*x**3 + 3*x**2 + 6*x - 8 What is the y'th term of -50, -48, -46, -44, -42? 2*y - 52 What is the p'th term of -7236, -7232, -7218, -7188, -7136, -7056, -6942? p**3 - p**2 - 7236 What is the j'th term of 1, -24, -67, -128, -207? -9*j**2 + 2*j + 8 What is the z'th term of -156, -139, -112, -75? 5*z**2 + 2*z - 163 What is the x'th term of 487, 485, 483? -2*x + 489 What is the q'th term of 15, 31, 57, 93, 139? 5*q**2 + q + 9 What is the j'th term of -1640, -1639, -1638, -1637, -1636? j - 1641 What is the a'th term of 57, 106, 149, 186, 217, 242? -3*a**2 + 58*a + 2 What is the n'th term of -17, -80, -239, -542, -1037, -1772? -8*n**3 - 7*n - 2 What is the d'th term of -1, 30, 83, 158, 255? 11*d**2 - 2*d - 10 What is the m'th term of -19, -41, -69, -103, -143, -189? -3*m**2 - 13*m - 3 What is the f'th term of -2, -12, -48, -122, -246, -432, -692, -1038? -2*f**3 - f**2 + 7*f - 6 What is the f'th term of -629, -656, -693, -746, -821, -924? -f**3 + f**2 - 23*f - 606 What is the f'th term of -19333, -19331, -19329, -19327, -19325? 2*f - 19335 What is the s'th term of -2381, -2368, -2347, -2318, -2281? 4*s**2 + s - 2386 What is the m'th term of 39, 41, 43? 2*m + 37 What is the j'th term of 37, 66, 107, 160, 225? 6*j**2 + 11*j + 20 What is the s'th term of -320, -645, -970, -1295, -1620, -1945? -325*s + 5 What is the o'th term of 11, -7, -49, -127, -253, -439, -697, -1039? -2*o**3 - 4*o + 17 What is the x'th term of 37, 39, 27, -5, -63, -153, -281, -453? -x**3 - x**2 + 12*x + 27 What is the l'th term of 25, 92, 159, 226? 67*l - 42 What is the i'th term of -26, 1, 54, 139, 262, 429? i**3 + 7*i**2 - i - 33 What is the h'th term of -7103, -14207, -21311, -28415, -35519? -7104*h + 1 What is the f'th term of 27, 81, 135, 183, 219? -f**3 + 6*f**2 + 43*f - 21 What is the f'th term of 429, 881, 1333, 1785? 452*f - 23 What is the s'th term of 21, 5, -11, -21, -19? s**3 - 6*s**2 - 5*s + 31 What is the o'th term of 33, 148, 455, 1050, 2029, 3488, 5523, 8230? 16*o**3 + 3*o + 14 What is the s'th term of 1106, 2209, 3312, 4415? 1103*s + 3 What is the t'th term of 50, 58, 64, 62, 46, 10, -52, -146? -t**3 + 5*t**2 + 46 What is the a'th term of -21, -120, -219, -318, -417? -99*a + 78 What is the k'th term of -1730, -1727, -1722, -1715, -1706, -1695, -1682? k**2 - 1731 What is the a'th term of 492, 494, 496, 498, 500? 2*a + 490 What is the g'th term of 692, 1383, 2074, 2765, 3456? 691*g + 1 What is the p'th term of -445, -887, -1331, -1777, -2225, -2675? -p**2 - 439*p - 5 What is the f'th term of 188, 174, 150, 110, 48, -42? -f**3 + f**2 - 10*f + 198 What is the v'th term of 28, 55, 82, 109, 136? 27*v + 1 What is the a'th term of -14, -59, -134, -239, -374, -539, -734? -15*a**2 + 1 What is the o'th term of -36, -66, -94, -120, -144, -166, -186? o**2 - 33*o - 4 What is the k'th term of 3, -22, -47, -72, -97? -25*k + 28 What is the k'th term of -5, 0, 7, 16? k**2 + 2*k - 8 What is the v'th term of -51, -228, -525, -942, -1479, -2136, -2913? -60*v**2 + 3*v + 6 What is the a'th term of 10849, 21700, 32551, 43402, 54253, 65104? 10851*a - 2 What is the c'th term of 451, 1799, 4045, 7189? 449*c**2 + c + 1 What is the j'th term of 20, 34, 48? 14*j + 6 What is the r'th term of 150, 581, 1300, 2307, 3602? 144*r**2 - r + 7 What is the t'th term of -93, -82, -63, -36, -1? 4*t**2 - t - 96 What is the l'th term of 10491, 10508, 10551, 10632, 10763? 2*l**3 + l**2 + 10488 What is the t'th term of 384, 385, 386, 387, 388? t + 383 What is the r'th term of 85, 99, 135, 205, 321, 495, 739, 1065? 2*r**3 - r**2 + 3*r + 81 What is the s'th term of 113, 110, 107? -3*s + 116 What is the b'th term of 1165, 2326, 3483, 4636, 5785, 6930, 8071? -2*b**2 + 1167*b What is the p'th term of 146, 522, 1128, 1946, 2958, 4146, 5492? -3*p**3 + 133*p**2 - 2*p + 18 What is the m'th term of 10, 61, 162, 325, 562, 885, 1306, 1837? 2*m**3 + 13*m**2 - 2*m - 3 What is the n'th term of 0, 6, 0, -24, -72, -150, -264? -n**3 + 13*n - 12 What is the w'th term of -821, -824, -829, -836, -845, -856, -869? -w**2 - 820 What is the g'th term of 1058, 2120, 3182? 1062*g - 4 What is the d'th term of -2008, -2005, -2004, -2005, -2008, -2013, -2020? -d**2 + 6*d - 2013 What is the y'th term of -975, -972, -967, -960, -951, -940, -927? y**2 - 976 What is the f'th term of 20, 50, 128, 278, 524, 890, 1400? 4*f**3 + 2*f + 14 What is the u'th term of 234, 237, 250, 279, 330, 409, 522, 675? u**3 - u**2 - u + 235 What is the i'th term of -2116, -2118, -2120? -2*i - 2114 What is the m'th term of -175, -196, -217, -238, -259, -280? -21*m - 154 What is the u'th term of 135, 102, 71, 42, 15, -10? u**2 - 36*u + 170 What is the m'th term of -22, -33, -42, -43, -30? m**3 - 5*m**2 - 3*m - 15 What is the j'th term of -16, -23, -48, -103, -200? -2*j**3 + 3*j**2 - 2*j - 15 What is the o'th term of -337, -339, -341, -343, -345? -2*o - 335 What is the s'th term of -189, -236, -283, -330, -377, -424? -47*s - 142 What is the v'th term of 10, 15, 24, 37? 2*v**2 - v + 9 What is the j'th term of -5, -17, -35, -59, -89? -3*j**2 - 3*j + 1 What is the g'th term of 6, 39, 92, 171, 282, 431, 624, 867? g**3 + 4*g**2 + 14*g - 13 What is the z'th term of -4008, -3999, -3976, -3933, -3864? z**3 + z**2 - z - 4009 What is the i'th term of -16, -4, 26, 74, 140, 224, 326? 9*i**2 - 15*i - 10 What is the o'th term of 78, 82, 84, 84, 82, 78, 72? -o**2 + 7*o + 72 What is the x'th term of 3877, 7753, 11629, 15505, 19381? 3876*x + 1 What is the f'th term of -52, -49, -46, -43, -40? 3*f - 55 What is the u'th term of 21370, 21371, 21372? u + 21369 What is the j'th term of -150, -303, -458, -615, -774, -935? -j**2 - 150*j + 1 What is the r'th term of 6, 40, 100, 192, 322, 496, 720? r**3 + 7*r**2 + 6*r - 8 What is the t'th term of -7, 14, 73, 188, 377, 658? 3*t**3 + t**2 - 3*t - 8 What is the l'th term of -18, 34, 122, 246? 18*l**2 - 2*l - 34 What is the k'th term of 4, 0, -8, -20, -36, -56
{ "pile_set_name": "DM Mathematics" }
e nearest one million. -106000000 Let h = 80 - 129. Let a = h - -48.666. Let m = a + 0.32. Round m to 3 dps. -0.014 Let q = -175.1823 + 7.2003. Let l = q - -168. What is l rounded to three dps? 0.018 Let k(o) be the first derivative of 503*o**4/4 - o**3/3 + 3*o**2 - 2*o + 65. Let u be k(-3). Round u to the nearest 1000. -14000 Let y = -1463.48 + -12.52. Let h = 1476.00000997 + y. What is h rounded to 6 decimal places? 0.00001 Let d(l) = 67684998*l**2 - 48*l + 104. Let x be d(2). Round x to the nearest one million. 271000000 Suppose 30 = 11*a - 14. Suppose 0 = 5*c - 3*m + 7496, 3*c + a*m = 6*m - 4498. Round c to the nearest 100. -1500 Let o = -189 + 326. Let z = -137.00000087 + o. Round z to six dps. -0.000001 Let b = -25 + 23.08. Let d = 1.668 + 0.632. Let m = b + d. Round m to 1 dp. 0.4 Let g = 11145.2 - 12490. What is g rounded to the nearest ten? -1340 Let b = -1288 - -732. Let q be (-7 + b/12)*225750/(-4). Round q to the nearest one hundred thousand. 3000000 Let o = 3202.556 + -3550.5122. Let c = -348 - o. Round c to three dps. -0.044 Let t = -9895.8779 + 9897. Let m = -1.14 + t. Round m to 3 decimal places. -0.018 Let q = -33.43 - 308.66. What is q rounded to 0 dps? -342 Let o = 23611.00017113 + -23611. Round o to 5 decimal places. 0.00017 Let c = -983990217.8999711 + 983990177. Let b = c - -40.9. What is b rounded to 6 dps? 0.000029 Let x = -67208 - -66658.09. Round x to the nearest one hundred. -500 Let f = -385437249 + 385437213.99999312. Let u = -35 - f. What is u rounded to 7 dps? 0.0000069 Let k = 1485 - 649. Let u = 799.9 - k. Let v = 36.0999851 + u. What is v rounded to six decimal places? -0.000015 Let o = -18706.83602 - -18707. What is o rounded to two dps? 0.16 Let a = 46415100 - 46414709.99478. Let f = a - 390. What is f rounded to 3 dps? 0.005 Let m = 603.380312105 - 620.4803118. Let x = 17.1 + m. Round x to seven dps. 0.0000003 Let c = 331.5787 - 1.2487. Round c to the nearest 10. 330 Let z(h) = -6*h - 19. Let y(c) = -11*c - 39. Let b(r) = -4*y(r) + 7*z(r). Let f be b(-11). Suppose 0 = -t + f, 15 = -s - 0*s + 5*t. Round s to the nearest 100. 0 Let s = -44908.005444 - -44908. What is s rounded to 2 dps? -0.01 Let i = 2584 + -1468. Let d = 1117.267 - i. Round d to 1 decimal place. 1.3 Let o = -0.9 - 0.9. Let s = -32357 + 32358.79971. Let d = s + o. What is d rounded to 4 decimal places? -0.0003 Suppose 0 = 2*q - 10*q + 40. Suppose -2*n + 2*b - 204998 = -0*b, -q*b = 3*n + 307505. What is n rounded to the nearest 10000? -100000 Let j(h) = -1143*h**3 + 6*h**2 + 5*h. Let t be (-1 - 117)*(26 - 25). Let m = 113 + t. Let b be j(m). What is b rounded to the nearest ten thousand? 140000 Let a = -1225.23048 + 1204.2304166. Let w = a - -21. What is w rounded to five decimal places? -0.00006 Let b = -558 - -212. Let j = b - -345.999975. Round j to 4 decimal places. 0 Let z = -2754.9964488 - -2755. Round z to five dps. 0.00355 Let u be 2/2 + (-3)/(9/12). Let t be 3 + (5 - 11) - u. Suppose t = 2*o + o + 35700000. Round o to the nearest one million. -12000000 Let w = 476 - 256. Let b = w + -230.3. Round b to the nearest integer. -10 Let o = -35.30282 - -0.05482. Let f = o - -37.4. Round f to one decimal place. 2.2 Let l = -657.9375 + 658. Let r = l - 0.062138. What is r rounded to 5 decimal places? 0.00036 Let y = 53064.049709 + -53064. Let q = -0.05 + y. Round q to three decimal places. 0 Let l = 2262.0941 + -2262. Let d = -7.2959 - l. Let t = d + 7.390802. Round t to four dps. 0.0008 Let n = -184 - -78. Let q = n + 42. Let b = q - -39.2. Round b to the nearest 10. -20 Let t(r) = -583*r**2 - 29*r - 136. Let g be t(-6). What is g rounded to the nearest one hundred? -21000 Let j = 35217 - 34794.38. Round j to zero decimal places. 423 Let b = -1078316 - 1867684. What is b rounded to the nearest one million? -3000000 Let h = -5062.494 + -6.306. Round h to the nearest 1000. -5000 Let w = 18266 - 18249.929. Round w to the nearest integer. 16 Let i = -20.19571 + 1870.7143356. Let h = -1693.518585 + i. Let l = -157 + h. What is l rounded to six decimal places? 0.000041 Let u = 730 - 730.0041762. What is u rounded to 5 decimal places? -0.00418 Let v = -2281370 - -2281370.1000549. Let g = 0.2 + -0.3. Let p = g + v. Round p to 6 decimal places. 0.000055 Let u = 146.55 + -153. Let d = u - -71.85. Let k = d - 65.399649. Round k to five decimal places. 0.00035 Let i(c) be the second derivative of -8*c**2 - 1/3*c**3 + 0 - 4*c + 1531/4*c**5 - 5/6*c**4. Let h be i(-8). What is h rounded to the nearest one million? -4000000 Suppose -2*k = 10, 83*k = -5*t + 79*k - 130985020. Round t to the nearest one million. -26000000 Let d be -2 + -1*(2 - 1) - -19. Suppose -d*y + 4*y = -120. Let m be y*((2 - 0 - 193) + -2). What is m rounded to the nearest one hundred? -1900 Let d = 948 - 449. Let w = -499.000001741 + d. What is w rounded to seven dps? -0.0000017 Let u = -23.982 + -0.018. Let b = u + 48. Let n = 23.9999905 - b. What is n rounded to 5 decimal places? -0.00001 Let m = -427.904 - 0.096. Let f = 85988836.00221 - 85989264. Let a = f - m. Round a to 4 decimal places. 0.0022 Let a be -4*(3/(-9))/((-20)/30). Let z be 75/50 + (-72797)/a. Round z to the nearest ten thousand. 40000 Let q = 584 + -1613. Let y = q + 1028.999063. What is y rounded to four dps? -0.0009 Let r = 327.3 - 783.28. Round r to the nearest ten. -460 Suppose m + 0 = 10. Let p(j) = 13*j**3 - 4*j**2 - 10*j + 21. Let q be p(m). Let g = q - 2421. Round g to the nearest one thousand. 10000 Let h = -4033 + 4030.82. What is h rounded to 0 decimal places? -2 Let f(r) = 188*r + 496*r + 493*r - 311*r - 10. Let d be f(-15). What is d rounded to the nearest ten thousand? -10000 Let d = 12978.38676 - 12978. Round d to 1 dp. 0.4 Let m = -7737974437.747972 - -7700221620.47196857. Let u = 37752818 + m. Let q = 0.724 - u. What is q rounded to 7 dps? 0.0000034 Suppose -82*o + 79*o + 13089 = -3*y, 5*y + 21819 = 4*o. Round y to the nearest 100. -4400 Let l(d) = 0 + 6 - 688*d**3 - 181*d**3 + 4*d. Let a be l(-2). Round a to the nearest 1000. 7000 Let m = -0.2 - -2.1. Let p = 81.9 - m. Let v = 86.8 - p. Round v to the nearest integer. 7 Let v = -181.39 + 1.39. Let y = 181.56105645 + -1.56102085. Let q = y + v. Round q to 6 dps. 0.000036 Let b = -24 - -57. Let q = b + -32. Let o be (-13 + 15)/(1 + q) + 146999. Round o to the nearest ten thousand. 150000 Let k(p) = -p**3 + 5*p**2 + 11*p + 5. Let f be k(5). Let b be 24/f*(-1 + -1 - 273). Round b to the nearest one hundred. -100 Let t(g) = -7244*g. Let z be t(5). Let n be ((-1619037)/(-294) - 9/21)*40/(-3). Let d = n - z. Round d to the nearest 1000. -37000 Let i = 69614740.6 + -69614614.10599904. Let q = 126.49 - i. Let k = -0.004 - q. What is k rounded to 7 dps? 0.000001 Suppose -2*a - 562625 = 5*d, 2*a + 2*d + 379229 = -183381. What is a rounded to the nearest ten thousand? -280000 Let r = -1078.0548 - -0.0548. Let y = r + 1341.2. What is y rounded to the nearest 10? 260 Let h(l) = l**2 + 12*l - 10. Let y(z) = -z - 2. Let k(f) = -h(f) + 5*y(f). Let b be k(-17). Suppose b = -13*c + 25*c - 4812. Round c to the nearest one hundred. 400 Let f(w) = -60*w**3 + 17*w**2 + 17*w + 5. Let d(h) = 31*h**3 - 8*h**2 - 8*h - 3. Let m(y) = 5*d(y) + 2*f(y). Let t be m(-5). Round t to the nearest 1000. -5000 Let f(r) = -178669*r**2 - 13*r - 108. Let n be f(-13). Round n to the nearest 1000000. -30000000 Let s = 0.2743 + -250.6743. Let t = 168 + s. Round t to the nearest 10. -80 Suppose 0 = -75*r + 53*r + 28880258. Let x be 1/(-3) + (-6620872)/(-12). Let p = r - x. What is p rounded to the nearest 100000? 800000 Let l = -27916.09 - -27488. Let y = l - -432. Round y to one dp. 3.9 Let c = 41.05 + -40.9. Let x = c + 1.74. What is x rounded to 0 dps? 2 Let h = 7014.93 - 7238. Let b = 223 + h. What is b rounded to 1 decimal place? -0.1 Let m = 22.99 + -22.8553. Let h = m - -0.0235. What is h rounded to two dps? 0.16 Let l be (-8)/(-2) + 8 + (-26 - 2). Let z(i) = -23 + 3703*i + 7 - 36. Let s be z(l). Round s to the nearest 1000. -59000 Suppose -22 = -2*o - 0*o + 4*q, -5*q + 13 = 2*o. Let w be 138504/(-9) - 6/o. Round w to the nearest 1000. -15000 Let k be 2*3*(98/7)/7. Let o(f) = f**3 - 11*f**2 - 11*f - 12. Let p be o(k). Suppose 6*m - 4*m + 126000 = p. What is m rounded to the nearest ten
{ "pile_set_name": "DM Mathematics" }
xpand (-44*t**2 + 9*t + 139*t**2 - 3 - 134*t**2)*(-1 + 2*t + 1). -78*t**3 + 18*t**2 - 6*t Expand (-7*a**2 + 3*a**2 + 3*a**2)*(-3 + 4 + 0) - 18*a**2 - 23*a**2 - 19*a**2 + 3*a**2 - 8*a**2 + 0*a**2. -66*a**2 Expand (a - 4*a - a**4 + a)*(-62 - 86 - 530). 678*a**4 + 1356*a Expand (q + 7*q - 4*q)*(30*q - 315*q - 105*q)*(-3 - 5 + 1). 10920*q**2 Expand ((2*j - 5*j + 2*j)*(-4*j**3 + 4*j**3 - j**3) + 2*j**4 + 0*j**4 + 0 - 4)*(11 + j - 11 + 3*j - 6*j - j - 2 - 2*j + 2 + (-2*j + 0*j + 3*j)*(-1 - 3 + 3)). -18*j**5 + 24*j Expand 0*c**4 + c**4 + c**4 + (-253*c**3 + 40*c**3 - 53*c**3)*(-c - 2*c + 5*c) + (3*c + 2*c - 4*c)*(-7*c**3 + c**3 - c**3). -537*c**4 Expand -5*o**5 + 0*o**5 + 6*o**5 + (3*o**2 + 0 + 0)*(3266007*o**2 - 1993*o**3 - 3266007*o**2). -5978*o**5 Expand (-3 + 2*k + 3)*(-8*k - 2 + 2) + (-81*k + 58*k - 92*k)*(-2*k + 3*k + 2*k). -361*k**2 Expand (-275*z - 1018 + 1018)*(24*z + 5 + 1 - 8). -6600*z**2 + 550*z Expand 782*q**5 - 1529*q**5 - 6*q**2 + 636*q**5 + (q**3 - q**3 - q**4)*(0*q + 3*q - q). -113*q**5 - 6*q**2 Expand (-1298 + 1298 - 4405*i**2 - 19347*i**2 + 4186*i**2)*(-2 + 6 - 2)*(8 - 8 + 3*i). -117396*i**3 Expand 0*v**2 - 13*v**2 - 8*v**2 + (49 - 49 - 8*v)*(0 - 2 - 1)*(0 - 5*v + 1 + 1). -141*v**2 + 48*v Expand (-69 + 223 - 1)*(-29*m - 256 + 256). -4437*m Expand (-13*f + 13*f + f**3)*(-36*f + 81*f + 37*f) + (f**2 + 2*f**2 - 4*f**2)*(3*f**2 + 2*f**2 - 4*f**2). 81*f**4 Expand 4*k - 6*k + 4*k**3 - 3*k**3 + (13 - 30 - 77 + 2*k)*(-10*k - 2*k + 2*k)*(-4 + 4 + 1)*(3*k - k + 0*k). -39*k**3 + 1880*k**2 - 2*k Expand (-7*c**2 + 26*c - 26*c)*(6 - 10 - 6). 70*c**2 Expand (-4 + 5*k - 1 + 2)*(2*k + 2*k - 3*k + 389 + 46*k - 389 + 3*k - k + 0*k + (-3*k + 2*k - k)*(-3 + 7 - 2)). 225*k**2 - 135*k Expand (-2*n**2 + 2*n**2 + 2*n**2)*(1020*n - 23*n**2 - 1010*n + 66*n**2). 86*n**4 + 20*n**3 Expand (1 + 3 - 1)*(-2*z**2 - 1 + 1)*(-1965*z + z**3 + 1965*z - 1241). -6*z**5 + 7446*z**2 Expand -27*l - 5*l - 35*l - 2*l + l - l + 2*l + 2*l - 5*l + (0*l + l - 2*l)*(3 + 0 - 1) + (-4*l + 3*l - 2*l)*(3 + 1 - 2) - 1 - l + 1 + 3*l - 4*l + 2*l - 2. -78*l - 2 Expand (160944 - 160944 + 5*s)*(-4 - 1 + 3)*(1 + 2 - 2). -10*s Expand -21*v**3 - 10*v**3 + 7*v**3 - 6*v**2 + 6*v**2 - 12*v**3 - v**3 + 2 - 2 + (-4*v**2 + 0*v**2 + 3*v**2)*(-v + 4*v - v). -39*v**3 Expand (3 + 0 + 9)*(4 + 5*m - 6 + 0*m)*(5 + 0 - 1)*(-2 + 1 - 3). -960*m + 384 Expand (4*x - 5*x + 2*x)*(-2 - 1 + 4) + 312 + 54*x - 50*x + 799. 5*x + 1111 Expand (-2 - 3330*t + 4 + 3640*t)*(0 + 0 + 2*t). 620*t**2 + 4*t Expand (3*c**2 + 6*c**3 - 3*c**2)*(0*c + 0*c - 3*c + (1 - 1 - 4)*(-8*c + 9*c + 12*c)). -330*c**4 Expand (-1 + 1 - 2*g)*(-16*g - 38*g - 14*g - 69*g + 25*g). 224*g**2 Expand (0 - 1 - 1)*(-28 + 32 - 34)*(-5*k**2 + 4*k**2 - 3*k**2 + (k - 2*k + 0*k)*(-k - k + 4*k) - 4*k**2 + k**2 + 2*k**2 + 0*k**2 + 0*k**2 + k**2). -360*k**2 Expand -3 - 44*t + 686*t + 804*t + (-t + 3*t - 3*t)*(4 - 1 - 4). 1447*t - 3 Expand -174*i**4 - 6*i + 90*i**4 + 105*i**4 + (-6*i**2 + 2*i**2 + 2*i**2)*(-4 - 2*i**2 + 4). 25*i**4 - 6*i Expand (-3*z**5 + 8 - 12*z**5 + 13*z**5 - 2*z**4)*(-5 + 1 + 22). -36*z**5 - 36*z**4 + 144 Expand -562*s**5 - 14*s**4 + 12*s**4 + 5*s**4 + (0*s - s + 0*s)*(s**4 + 0*s**4 - 3*s**4). -560*s**5 + 3*s**4 Expand (0 - 3 + 1)*(3 + 6 + 9)*(-4*x**2 + 5*x**2 - 2*x**2 + (-2 + 2 - 2)*(3*x - 3*x + 2*x**2) + 3*x**2 + x - x - 143*x + 12*x**2 + 143*x). -360*x**2 Expand -2*f**3 - 13*f**3 - 4*f**3 + 0*f**3 + 2*f**3 + 0*f**3 - 6*f**3 - 2*f**3 + f**3 + (2*f + 0 + 0)*(2*f**2 - 6*f**2 + 3*f**2) - 2*f**3 - f**3 - f**3. -30*f**3 Expand (34 + 37 - 70 + 58*r**2)*(-3*r - 11*r + 36*r + 1). 1276*r**3 + 58*r**2 + 22*r + 1 Expand -2487*i**2 + 2061*i**2 + 2467*i**2 + 2539*i**2 - 840*i**2 + 3294*i**2 + (-3 - 4 + 4)*(0*i**2 + 0*i**2 - 3*i**2). 7043*i**2 Expand (-t**2 - 5 + 5)*((2 + 2 - 2)*(-12*t + 4*t + 2*t) + 5*t - 3*t + 0*t - 2*t - 5*t - 2*t)*(2 - 1 + 2). 57*t**3 Expand (-51*o - 897 - 161*o + 895)*(o**3 + o**3 + 6*o**3). -1696*o**4 - 16*o**3 Expand (4*h + 0*h - 3*h)*(54*h - 23*h - 23*h + 35). 8*h**2 + 35*h Expand (-1 + 21*f - 3*f**2 - 52*f + 29*f)*(-34 - 55 + 34 - 3*f). 9*f**3 + 171*f**2 + 113*f + 55 Expand (0*v**2 + v**3 + 0*v**2)*(-2 + 2 - 7) + 23*v**3 + 106*v**2 + 8*v - 21*v**3 - 104*v**2. -5*v**3 + 2*v**2 + 8*v Expand (956 - 126 - 6092)*(-5*b**3 + 4*b**3 + 3*b**3). -10524*b**3 Expand (-4 + 4 - 9*l)*(l + 0*l + 2*l) - 2128*l - 18*l**2 + 2128*l. -45*l**2 Expand -16 + 5*s**3 + 16 + (23419 - 23419 - 149*s)*(6*s**2 + 2*s**2 - 4*s**2). -591*s**3 Expand (10*z + 19*z - 5*z)*(-9 + 2 + 1)*(2*z - 8*z - 5*z). 1584*z**2 Expand (10*h + 7 - 7)*(-2 + 7 - 1)*(-1 - 1 + 1)*(-h**3 - h**3 + 3*h**3). -40*h**4 Expand (152 - 152 + 136*p)*(-6*p**3 - 1 + 1). -816*p**4 Expand (-2*q + q - q)*(-22*q**3 + 6 - 6) + 5*q**4 + 5*q**4 - 3*q**4 + 2*q**4 + 3*q**2 + 9*q**4 - 4*q**4. 58*q**4 + 3*q**2 Expand (-129*t**2 + 157*t**4 + 129*t**2)*(-2 - 14 - 7). -3611*t**4 Expand (-21*b**2 - 22*b**2 + 83*b**2)*(12*b**3 - 12*b**3 - 21*b**3). -840*b**5 Expand (0*f**2 - 3*f**2 - f**2)*(2*f + 3*f - 2*f)*(-3781*f + 267 - 187 - 80). 45372*f**4 Expand (-8 - 4 + 2)*(7 + m - 7)*(25 + 43 + 51) + (-1 + 3 - 4)*(2*m + 0*m + 0*m) - 2*m + 0*m + 4*m. -1192*m Expand (-1703*d**5 + 1750*d**5 + d**4 - d**4)*(-6 - 1 + 3). -188*d**5 Expand 52*x**2 - 52*x**2 + 185*x**4 + (-2*x**2 + x**2 + 2*x**2)*(4*x**2 + 3733 - 29*x - 3733). 189*x**4 - 29*x**3 Expand -52*t - 2 + 0 + 107*t + (-3 + 2 - 4)*(t - 6 + 6). 50*t - 2 Expand 0*a**2 + 0*a**2 + a**2 + (-2*a + a - a)*(2*a - 2 + 2) - 366*a - 3*a**2 - 380*a + 837*a. -6*a**2 + 91*a Expand (-3 + 3 - 6)*(-7*j + 3*j - 6*j) - 3*j + j + 4*j. 62*j Expand (387 + 336 - 641)*(0*k + 0*k - k) - 2*k - 3*k + 4*k. -83*k Expand (1574 - 199 + 2270)*(7*x**5 - 3*x**5 + 2*x**5). 21870*x**5 Expand (0*b - 2 - b - b)*(-24 - 414 - 490). 1856*b + 1856 Expand (-21 + 30 + 28)*(5*q**4 + 2*q**4 + 15*q**3 + 2*q**2 - 5*q**4). 74*q**4 + 555*q**3 + 74*q**2 Expand -3842*l**4 - 3838*l**4 + 33*l**3 + 7677*l**4 + 2*l**4 + 0*l**4 - 4*l**4 + (-2*l - 1 + 1)*(0 + 0 + 2*l**3). -9*l**4 + 33*l**3 Expand 18 - 18 + 8*k + (-306 - 99 - 68)*(-2*k - 1 + 1 + (k + 1 - 1)*(-3 - 1 + 5)). 481*k Expand 2*i**3 + 2*i**2 - 2*i**2 + (-12 - 12*i + 12)*(i**2 - 10*i**2 + 7*i**2). 26*i**3 Expand (-2 + 2 + 3*x + (5*x - 6*x - 2 + 1)*(5 - 58 + 0) + (0*x - x + 0*x)*(0 + 2 - 4))*(3 - 3 + 4*x). 232*x**2 + 212*x Expand (-14*n + 20*n + 20*n)*(1 - 1 - 2 + (-2 + 1 - 1)*(14 - 20 - 9))*(-3 + 1 - 1)*(0*n + 2*n - n). -2184*n**2 Expand (206 - 52 + 48)*(-3*q**4 - 3*q**4 + 7*q**4). 202*q**4 Expand (-h + h + h + (5 + 1 - 4)*(h - 3*h + 0*h) + 7*h + 4*h - 13*h + 3)*(2*h - 1 + 1). -10*h**2 + 6*h Expand -532*u + 276*u + 260*u - 21*u**5 + (0 + 2*u**2 + 0)*(u**3 + u**3 - u**3). -19*u**5 + 4*u Expand (-4 - 2*v + 7 + 3*v)*(289*v + 453*v - 504*v). 238*v**2 + 714*v Expand ((2*l + 1 - 1)*(4 - 4 - l) - 3*l**2 - l**2 + 3*l**2)*(-9 - 605 + 134)*(-7 - 2*l + 7). -2880*l**3 Expand -3*v - 2*v**2 + 3*v + 2 - 2 - 15*v**2 + 2*v**2 - 6*v**2 + 3*v**2 + (-2 - 2 + 2)*(-v**2 - 4*v**2 + 6*v**2) - 3 - 2*v**2 + 3 - 2*v**2 + 6*v**2 - 3*v**2. -21*v**2 Expand (-2548*u**2 - 2753*u + 2753*u)*((-2*u - u + 2*u)*(5*u - u - 5*u) - 2*u**2 + 5*u**2 - u**2 - u - 2*u**2 + u). -2548*u**4 Expand ((2*o - 3*o + 0*o)*(1 + 2 - 2) - o - 2*o + o + o - 4 + 4 - 2*o - 1 + 1 - 5 + 5 - 3*o)*(12 + 9 + 5)*(o**2 - o**2 + 2*o**3)*(1 - 7*o - 1). 2548*o**5 Expand (-4*j - 3*j - 7*j)*(6 - 4 - 4) + (-13 - 5*j - 9*j + 11)*(3 - 4 + 0) - 2*j + 0*j + 3*j. 43*j + 2 Expand (6*z - 3*z + 0*z)*(-64*z - 6 - 56*z + 75*z). -135*z**2 - 18*z Expand (4*r + 0 + 0)*(-46 + 18 - 85) + (r + 1 - 1)*(-1 - 1 + 1) - 4*r + r + 0*r. -456*r Expand (4*d**5 - 3*d**5 + 0*d**5 + (d - 2*d**3 - d)*(5*d**2 - 2*d**2 - 4*d**2))*(-1519 + 865 + 1171)*(-4 + 6 + 7). 13959*d**5 Expand -4998*i**5 + 66*i - 108*i + 42*i + (-2 + i + 2)*(0*i**4 - 3*i**4 + i**4). -5000*i**5 Expand -3*r**4 + 5*r**4 - 6*r**4 - 3*r**4 - 4*r**4 + 6*r**4 + (-2*r**4 + 3*r**4 + 0*r**4)*(1 + 2 - 1) + 44*r**4 + 4*r**2 - 37*r**4 + 28*r**4. 32*r**4 + 4*r**2 Expand (2587*h - 298742 + 298742)*(3*h**4 - 2*h**4 + 0*h**4 + (0*h**2 - h**2 + 0*h**2)*(-2*h**2 + 3 - 3)). 7761*h**5 Expand (-2*l + 5*l - l)*(-2*l**2 + l**2 + 0*l**2) - 2*l**3 - l**2 + l**2 + (0 + 0 + 2)*(-38*l**3 - 27*l**3 + 48*l**3) + (3*l - 4*l + 0*l)*(5*l**2 - 18 + 18). -43*l**3 Expand 125*q**4 - 55*q**4 + 172*q**4 + (-1 + 1 + 2*q**3)*(-q + 0*q
{ "pile_set_name": "DM Mathematics" }
= 64*i for i. 1 Solve 0 = 7*a - 17 - 11 for a. 4 Solve 10 = -9*h - 26 for h. -4 Solve -13*p = -21*p - 40 for p. -5 Solve 31*v - 53 = -22 for v. 1 Solve -8*k - 7 + 23 = 0 for k. 2 Solve -2 = 3*h + 13 for h. -5 Solve -c + 182 = 187 for c. -5 Solve 0 = 7*j + 19 + 16 for j. -5 Solve 16*b = 21*b - 20 for b. 4 Solve 65 = 13*f - 0*f for f. 5 Solve 0 = -33*g + 39*g - 24 for g. 4 Solve -14*c + 128 = 18*c for c. 4 Solve -15 = -20*q + 5*q for q. 1 Solve -11*i - 30 = -19 for i. -1 Solve 3*f + 19 = 7 for f. -4 Solve -2*c = -5*c for c. 0 Solve 14*l = 159 - 243 for l. -6 Solve 1233*p - 1234*p = 0 for p. 0 Solve -160 = 27*o - 52 for o. -4 Solve -5 = 7*s - 12*s for s. 1 Solve -93*a = -94*a + 4 for a. 4 Solve 0 = -213*v + 201*v + 48 for v. 4 Solve -109 = 10*s - 59 for s. -5 Solve -1 - 3 = p for p. -4 Solve t - 15*t = 84 for t. -6 Solve 100 = -6*o + 26*o for o. 5 Solve 72 = 22*c + 28 for c. 2 Solve -11*y = 100 - 111 for y. 1 Solve -16*d = -10*d - 24 for d. 4 Solve -2*c - 2*c = -4 for c. 1 Solve 51*y + 14 = 58*y for y. 2 Solve 23 = -5*s + 13 for s. -2 Solve 35*n + 300 = -15*n for n. -6 Solve 11*m - 8*m + 6 = 0 for m. -2 Solve -44*w + 40*w = 12 for w. -3 Solve 41*w = 44*w - 6 for w. 2 Solve 21*l - 258 = -447 for l. -9 Solve 0*g - 17*g = 68 for g. -4 Solve 18*g - 133 = 37*g for g. -7 Solve 15*z = 14*z - 4 for z. -4 Solve -194 = -21*k + 16 for k. 10 Solve 74*h - 9 = 71*h for h. 3 Solve -419*u + 44 = -408*u for u. 4 Solve 1990 = -5*v + 1960 for v. -6 Solve -20*j - 105 = -5*j for j. -7 Solve 0 = 5*b - 12*b + 35 for b. 5 Solve -20 + 90 = -14*m for m. -5 Solve -32 = -19*p + 3*p for p. 2 Solve 13 = -10*o - 7 for o. -2 Solve 7*m = 8*m - 5 for m. 5 Solve 0 = -3*y + 12 - 6 for y. 2 Solve 15*r - 27 + 87 = 0 for r. -4 Solve -5*z = 261 - 276 for z. 3 Solve 0 = 13*j - 16*j + 15 for j. 5 Solve 209*a + 24 = 217*a for a. 3 Solve 55*k - 60*k + 10 = 0 for k. 2 Solve 0 = 3*j - 14 + 17 for j. -1 Solve -1852*y + 22 = -1841*y for y. 2 Solve 0 = -29*a + 26*a + 12 for a. 4 Solve -44*l = -39*l for l. 0 Solve 14*p - 19*p = 20 for p. -4 Solve -21*j + 11*j + 70 = 0 for j. 7 Solve 12*g - 6 = 15*g for g. -2 Solve -2*q + 11*q - 36 = 0 for q. 4 Solve -7 - 5 = -6*g for g. 2 Solve 11*z - 55 = -0*z for z. 5 Solve -3 - 18 = 7*o for o. -3 Solve 5*s = -11 + 31 for s. 4 Solve -13*u - 708 + 838 = 0 for u. 10 Solve -66*g - 214 = 182 for g. -6 Solve x = 6 - 2 for x. 4 Solve 16*v = 21*v + 25 for v. -5 Solve 10*g + 0 - 10 = 0 for g. 1 Solve -198 = -11*u - 143 for u. 5 Solve -7*m + 39 = 6*m for m. 3 Solve -255*q + 8 = -263*q for q. -1 Solve 6*v + 2*v = 0 for v. 0 Solve -7*i + 26*i = 95 for i. 5 Solve 0 = 5*w - 10*w - 20 for w. -4 Solve 50 = -58*h + 108 for h. 1 Solve 15 = -1724*k + 1729*k for k. 3 Solve 0 = -10*f - 23*f for f. 0 Solve 0 = -2*q - 3 - 7 for q. -5 Solve -20 = 10*d + 10 for d. -3 Solve -5*i - 2*i = -28 for i. 4 Solve -163 = -45*u + 62 for u. 5 Solve -9 = -3*m + 15 for m. 8 Solve -156 = -28*h + 2*h for h. 6 Solve -13*d = -8*d + 5 for d. -1 Solve 238 = 57*k + 808 for k. -10 Solve -28*o = -26*o for o. 0 Solve -4*a - 7*a = -0*a for a. 0 Solve -32 = 10*a + 8 for a. -4 Solve -56*t = -232 + 680 for t. -8 Solve 384 - 409 = 5*x for x. -5 Solve 794*g - 788*g = -30 for g. -5 Solve 6 + 6 = 12*q for q. 1 Solve -5 = -19*g - 43 for g. -2 Solve -30 = 12*x - 6 for x. -2 Solve 27*p + 30 = -78 for p. -4 Solve -13 = 6*n - 55 for n. 7 Solve 31*y = 33*y - 10 for y. 5 Solve -32*v - 10 = -37*v for v. 2 Solve 13*n - 15*n + 10 = 0 for n. 5 Solve -6*w = -29 - 7 for w. 6 Solve 36*v = 31*v - 5 for v. -1 Solve 13 - 8 = o for o. 5 Solve 6*s - 20 = -4*s for s. 2 Solve 3*l - 404 + 419 = 0 for l. -5 Solve -2*m - 9 + 19 = 0 for m. 5 Solve 2*n + 16 - 10 = 0 for n. -3 Solve -71 = 20*y - 91 for y. 1 Solve 7*r = 9*r - 2 for r. 1 Solve -16 = 49*j - 45*j for j. -4 Solve -65 = 31*d - 34 for d. -1 Solve 17*x - 12 = 5 for x. 1 Solve 52 = 36*g + 268 for g. -6 Solve 2*t - 31 = -29 for t. 1 Solve 705*i - 704*i = -4 for i. -4 Solve 0 = 5*t - 65 + 50 for t. 3 Solve 0 = 21*d - 17*d + 40 for d. -10 Solve 77*u - 66*u = -66 for u. -6 Solve -5*n + 104 = -57*n for n. -2 Solve -4*g + 44 - 56 = 0 for g. -3 Solve -2*l = 628 - 636 for l. 4 Solve 79*r = 23*r - 112 for r. -2 Solve -95 = l - 93 for l. -2 Solve -1619*w + 17 = -1636*w for w. -1 Solve 0 = -16*s + 23*s + 14 for s. -2 Solve 15*r + 16 = 91 for r. 5 Solve 5*y - 16 = -21 for y. -1 Solve -8 = 57*t - 53*t for t. -2 Solve 52*r - 47 - 57 = 0 for r. 2 Solve 6*l = 62 - 44 for l. 3 Solve 16 = 8*s - 4*s for s. 4 Solve 77*x = 82*x - 15 for x. 3 Solve 17*f + 25 = 93 for f. 4 Solve 3*u = -10*u for u. 0 Solve 1423*x + 14 = 1430*x for x. 2 Solve -1532 + 1518 = 2*u for u. -7 Solve x = 35 - 31 for x. 4 Solve 187*h = 195*h + 40 for h. -5 Solve -6*z - 3 - 3 = 0 for z. -1 Solve 0 = 122*l - 39*l + 498 for l. -6 Solve 120 = 13*x + 2*x for x. 8 Solve 84*d - 76*d = -40 for d. -5 Solve 0 = 5*g - 14*g + 18 for g. 2 Solve 3*p = -19*p - 198 for p. -9 Solve 0 = -25*v - 11 - 189 for v. -8 Solve -22 = 4*y - 6 for y. -4 Solve 0 = 5*y - 78 + 73 for y. 1 Solve 99*q + 260 = 34*q for q. -4 Solve 16*u + 9 = 19*u for u. 3 Solve -1 = -5*s + 9 for s. 2 Solve 55*u + 147 = -73 for u. -4 Solve 22*h - 154 = 36*h for h. -11 Solve -89*f - 57 = -108*f for f. 3 Solve 90 = -14*z + 146 for z. 4 Solve 31 = -28*k + 3 for k. -1 Solve -37 + 307 = 30*l for l. 9 Solve 0 = 26*i - 23 + 257 for i. -9 Solve 40 - 50 = 2*t for t. -5 Solve -1 = -4*r - 5 for r. -1 Solve 2*f - 7 = -17 for f. -5 Solve 204 = -5*i - 29*i for i. -6 Solve -80*y - 89 = 71 for y. -2 Solve 0 = -5*s - 0*s + 5 for s. 1 Solve -32 + 38 = 3*b for b. 2 Solve -30*u + 84 = 234 for u. -5 Solve 0 = 7*d - 0*d + 14 for d. -2 Solve -17*r + 13*r = -8 for r. 2 Solve 0 = -365*h + 368*h for h. 0 Solve 317*l = 326*l + 9 for l. -1 Solve 0 = 590*z - 602*z - 12 for z. -1 Solve 0 = 8*i - 1847 + 1807 for i. 5 Solve -132*l + 86*l = -276 for l. 6 Solve 21 = 23*p - 16*p for p. 3 Solve -39 = 45*w - 6*w for w. -1 Solve -9 + 29 = 4*n for n. 5 Solve 0 = 56*q - 240 - 208 for q. 8 Solve 5*k + 5 = -20 for k. -5 Solve v + 6*v = -14 for v. -2 Solve 25*y - 6 = 27*y for y. -3 Solve -6*a + 28 = 8*a for a. 2 Solve -2 + 68 = -22*b for b. -3 Solve -11*v = -3*v - 40 for v. 5 Solve 68*m - 36 = 100 for m. 2 Solve -21*d + 60 = -9*d for d. 5 Solve 0 = -39*x + 2 - 80 for x. -2 Solve 1791*m - 1763*m = 28 for m. 1 Solve -53*y = -342 - 29 for y. 7 Solve 18 - 13 = i for i. 5 Solve -2*c = -12*c + 20 for c. 2 Solve 16*c - 48*c - 64 = 0 for c. -2 Solve 25*g = 84*g + 354 for g. -6 Solve 133*g = 136*g - 6 for g. 2 Solve -14*d + 30 = -4*d for d. 3 Solve -15 = -0*x + 5*x for x. -3 Solve -638*a + 655*a = -85 for a. -5 Solve -21*s = -91 + 217 for s. -6 Solve 41 - 29 = -12*r for r. -1 Solve -i = 50 - 59 for i. 9 Solve 95 = -10*c - 9*c for c. -5 Solve 0 = -95*r + 84*r + 11 for r. 1 Solve 0 = -56*b + 76*b + 160 for b. -8 Solve -9*f = -7*f for f. 0 Solve 9*x = 4*x - 5 for x. -1 Solve -214*w + 218*w + 28 = 0 for w. -7 Solve 10*b - 14 = 16 for b. 3 Solve 0 = -15*m - 45 - 15 for m. -4 Solve 8 = -4*f + 16 for f. 2 Solve -3*c + 10 = 7*c for c. 1 Solve 2*q + 13 = 3 for q. -5 Solve 21*y = 99*y - 312 for y. 4 Solve -14*i - 38 + 80 = 0 for i. 3 Solve -172*k - 48 = -164*k for k. -6 Solve -68*c = 3*c for c. 0 Solve 0 = -78*x - 213 - 21 for x. -3 Solve -52 = -13*f - 13*f for f. 2 Solve 0 = 2*y - y - 3 for y. 3 Solve 145 = 189*y - 160*y for y. 5 Solve 0 = 8*c - 4*c + 16 for c. -4 Solve -207 + 165 = -7*q for q. 6 Solve -27*a - 35 = -22*a for a. -7 Solve 0 = 2*a + 17 - 19 for a. 1 Solve 0 = 18*t - 168 + 312 for t. -8 Solve 48*b - 47*b - 3 = 0 for b. 3 Solve -157*d = -160*d for d. 0 Solve i - 413 + 416 = 0 for i. -3 Solve -26*g - 993 = -863 for g. -5 Solve 0 = -k + 11 - 19 for k. -8 Solve 7*t - 11*t + 8 = 0 for t. 2 Solve -7*w - 14 = -0 for w. -2 Solve 48*w = -361 + 121 for w. -5 Solve 41 = -3*w + 53 for w. 4 Solve 3*u = -3*u + u for u. 0 Solve -40*r - 15*r - 330 = 0 for r. -6 Solve 8*x + 36*x = -44 for x. -1 Solve 0 = -4*b - 149 + 113 for b. -9 Solve -5*l = 7 + 3 for l. -2 Solve 0*u = 9*u - 18 for u. 2 Solve 26*p - 635 + 531 = 0 for p. 4 Solve -6 = 4*h - 18 for h. 3 Solve -30*k = -6*k + 72 for k. -3 Solve -17*n - 12*n = -116 for n. 4 Solve -44*n + 18*n - 182 = 0 for n. -7 Solve -78 = -3*c - 66 for c. 4 Solve 9*z - 8*z = -1 for z. -1 Solve 30 = 4*y + 38 for
{ "pile_set_name": "DM Mathematics" }
p = m + -1091. Is p composite? True Let w = -9466 - -101213. Is w composite? True Let i = -3796 - -8281. Suppose -3*j = -6492 - i. Is j a prime number? True Suppose -t + 18 = 13. Suppose -k + o = t, -3*k - 5*o + 17 = -0*o. Let r = 178 + k. Is r prime? False Suppose -4*o + 1871170 = 2*y, -5*y - 3*o + 3169960 = -1507951. Is y prime? True Let b = 4 - -7. Let v(i) = b + 3*i + 3*i + 3*i**3 - 2*i**3 - 2*i**2. Is v(12) prime? True Suppose v - 2*o - 21 = 0, 5*v = -0*v - 3*o + 92. Suppose -v*k + 48729 = -12622. Is k a composite number? False Suppose 0 = 19*z + 192886 + 6215. Let x = -5384 - z. Is x prime? False Suppose 0 = 2*w - 6, 3*l + 5*w = w + 48. Suppose 4*i = i - l. Is 265 + i + 8 + -4 a prime number? False Let p(b) = b**3 + 5*b**2 - 2*b + 9. Let u be p(-5). Let n be (-2)/(-9) + (-534)/(-27). Suppose u*j + 2417 = n*j. Is j prime? True Suppose 4*q = -4*c + 7 + 21, 3*q - 4*c = -7. Suppose 0*z - 2*z - 9367 = -q*k, 2*k - 6223 = -3*z. Is k prime? True Let k(p) = 4*p - 2. Let c be k(2). Suppose -31*w - 11 = -135. Is (3/w)/((c - 9)/(-1308)) a prime number? False Let h be 2 - (-10)/5*(-62 + 0). Let b = -113 - h. Suppose -1351 - 5066 = -b*g. Is g prime? False Suppose 2*f - 670466 = 11*o, -88*f = -83*f - 5*o - 1676120. Is f a composite number? True Let z(m) = -10*m - 30 - 23 + 50. Let d be z(-2). Suppose 0 = k - 194 - d. Is k prime? True Let f be 6/(-9)*(-1602)/(-2). Let q be 120/25*135/54. Is (0 - f/q)*4/2 composite? False Let c(d) = 664*d**2 - d + 3. Suppose -p + 3*k - 15 = -2, -12 = 4*p - 4*k. Is c(p) a prime number? True Let k = 17 - 7. Suppose k*u - 6933 = 7*u. Suppose -3*z = 2*i - u, 1148 = i - 2*z + z. Is i a prime number? True Suppose -3*y + 5*x - 19 = -4*y, -3*y - 33 = -3*x. Let u(w) = -1391*w - 95. Is u(y) a composite number? True Suppose 1196678 = 4*c - 8*f + 6*f, 897506 = 3*c - 4*f. Suppose 35*d - 45*d + c = 0. Is d composite? False Let s(x) be the first derivative of -1012*x**2 - 219*x + 130. Is s(-5) composite? False Let a be (-6)/((-8)/(-28)*(-7)/3). Let n be (-56)/(-252) - 8903/a. Let g = n - -1866. Is g prime? True Let m = 31017 - 20429. Is (-9)/(18/m)*(-3)/2 a prime number? False Let b = -45 + 50. Suppose 1 = -2*g + k, -b*g + k = 6*k - 5. Let c(t) = 3*t + 223. Is c(g) a prime number? True Suppose 3*b - 2399596 = -4*j, -4*b = -33*j + 29*j + 2399596. Is j composite? False Suppose -3*v = -4*o, -25*v + 24*v + 11 = -5*o. Is (4/((-16)/(-12)))/(o/(-211)) composite? False Let v(g) = -1237*g**3 - 4*g - 4. Let c be v(-1). Let b = c - 528. Is b prime? True Suppose -8 + 4 = 2*z. Let s be 7 + (1 - 2 - z). Suppose 359 = s*m - 209. Is m prime? True Let x be (2/4)/((-2)/(-20712)). Suppose 7*g = -139 + 391. Is (-3*(-8)/g)/(4/x) a composite number? False Suppose -5*n + 2155 = 54*j - 49*j, 2*j - 2167 = -5*n. Suppose -n*d + 245 = -430*d. Is d a prime number? False Let b(s) = 2842*s + 89. Let v be b(2). Suppose 0*z = -3*z - 4*m + v, 7719 = 4*z + m. Is z a composite number? False Suppose 14*b + 360160 = 94*b. Is b a composite number? True Suppose -41*o = -f - 39*o + 580435, -3*o = -15. Is f a prime number? False Suppose -243244 = 7*t + 689849. Is t/(-15) + (2 - (-32)/(-20)) prime? True Let r(s) = -10*s + 35*s**3 - 3 - 13*s + 38*s + 3*s**2 - 9*s. Is r(2) prime? False Let p(a) be the first derivative of 12*a**4 - 10*a**3/3 - a + 92. Is p(6) prime? True Suppose -2*i - 1 = -17. Let r(p) = -p**2 + 6*p + 18. Let a be r(i). Is ((-1)/2 - (-329 - -1))*a prime? False Is (-92673)/(-10) - (-411)/(-1370) a composite number? True Suppose 0 = -3*b + 127 - 121. Is 556/4*b*1 a prime number? False Let q(i) = 4*i + 32. Let a be q(-6). Suppose -1342 = a*d - 8678. Is d composite? True Suppose 21*s + 135 = -24*s. Suppose -4*p - 6 - 22 = 0. Is (p - s)*2*158/(-8) a prime number? False Suppose 4*j + 84067 = n, -101*j = 2*n - 103*j - 168104. Is n a composite number? False Let h(b) = -22*b + 61*b**2 - 27*b + 53*b. Let w be h(3). Suppose u + 570 = 4*u - m, 3*u - w = 4*m. Is u a composite number? False Let v = -1952948 + 6413551. Is v prime? False Suppose -31506104 = -165*p + 34758233 - 8152162. Is p composite? True Suppose 0 = -3*w - 3*l - 276891, -w - 6441 - 85856 = 3*l. Let q = w - -140678. Is q prime? False Let p = 72664 - -358777. Is p prime? True Let w = -106721 + 221176. Suppose 4*x + 7*x = w. Is x a composite number? True Suppose 0 = 5*g + 49 + 101. Let z = 33 + g. Suppose z*s = 2426 - 377. Is s prime? True Is ((-54958)/(-4))/((-93)/(-186)) a composite number? False Let v = -47336 - -106533. Is v composite? False Is (-238)/476*(0 - 51014) a prime number? False Let g = 271692 + -147221. Is g a prime number? True Let b(m) = -20*m + 13 - 148*m**2 + 294*m**2 - 140*m**2. Is b(36) a composite number? False Is (2/(-4) - 1)/(((-1230)/(-1010780))/(-41)) a prime number? True Let j(p) = -16*p**2 - p. Let z be j(1). Let u = z - -23. Suppose -3*n + 1157 = -5*y, u*y - 4*y + 387 = n. Is n prime? True Let a = 82367 - -84432. Is a composite? False Suppose 0 = 10*d - 112 - 118. Suppose d*c - 5444 = 19*c. Is c composite? False Suppose -6 = l - 8. Suppose 2*k + 3*d = -0*k + 6527, 2*k - 6528 = -l*d. Suppose -1627 - k = -4*b. Is b prime? True Let h(d) = 1053*d**2 - 8*d - 20. Let x be h(-7). Suppose 10*f - f = x. Is f prime? True Let j(h) = 1002*h. Let c be j(-10). Let x = -6067 - c. Is x a prime number? False Is (2/(-14))/((-1)/((-6781908)/(-15 - -3))) a prime number? True Let y = 32 + -25. Let n(m) = 29*m - 3 + 11*m**2 - 4*m - 11*m - 9*m. Is n(y) a prime number? True Is ((-518400)/375 + (-4)/(-10))/(-2) a prime number? True Suppose 16142 = -2*r - 3826. Let b = 17105 + r. Is b a composite number? False Suppose -3*t = -3*y - 21, 1 + 9 = -2*y + t. Let f(n) = -15*n - 25*n + 10*n - 2 - 21*n - 6. Is f(y) prime? False Suppose -8*d = -3*d + 5*c - 70, 4*c - 67 = -5*d. Suppose -w - d = q, q - 3*w = -2*q - 3. Is (6772/(-6))/(q/27*3) prime? True Suppose x = 4*w + 5*x - 656, 0 = -2*w - 4*x + 338. Let m = 3363 - 690. Suppose -6*o = -m + w. Is o prime? True Let s(g) = -34*g + 11*g + 16*g - 7 - 32*g**2 + 92*g**2. Let w = -49 - -55. Is s(w) a composite number? False Let j(g) be the second derivative of g**5/5 - g**4/2 - 41*g**3/6 + 10*g**2 - 127*g. Is j(13) a composite number? True Is (-3 - (-10)/6)*1 - 70010/(-6) prime? False Suppose -3*k = -5*d - 0*d - 175, -3*k = -2*d - 169. Let q = 57 - k. Suppose -3*g - 31 = -q*w + 267, -w + 5*g + 163 = 0. Is w prime? False Let k = 9454 - 2272. Suppose l - 20617 = -4*x, k = 4*x - 3*l - 13415. Is x a composite number? False Suppose -126 = 12*d + 42. Let z(v) = -1926*v - 227. Is z(d) prime? True Suppose 15 = g - 7. Suppose -20027 = -g*k + 15*k. Is k composite? False Suppose 2*v = 0, 5*v - 14816 = -2*f + 67312. Suppose -41*b = -17*b - f. Is b prime? False Let z(i) = 2362*i**2 - 2*i + 9. Let x be z(-5). Suppose -10*h + x - 12039 = 0. Is h composite? False Suppose 5*q - 15 = k, -4*q - q + 15 = -3*k. Suppose -3*t - 7*r + 35383 = -q*r, -3*t + 35399 = -4*r. Is t a composite number? True Suppose 0 = -2*f + 7*f + m - 710620, -4*m - 568520 = -4*f. Suppose -4*n - 106951 = -5*r + 6749, -5*n - f = -4*r. Is (-1)/(-2) + n/(-6) + 3 prime? False Suppose 4*m + 2*l + 74114 = 10892, 0 = -5*m + 4*l - 79008. Let b = -5748 - m. Suppose 0 = 3*c + a - b, c - 4*a - 3347 = -6*a. Is c prime? False Let d(t) = -t**2 + 10*t + 2129. Suppose -k = -4*a + k, 0 = 4*a - 5*k. Is d(a) a composite number? False Let b = 725402 - 478639. Is b a composite number? True Let w = -36410 + 130605. Is w a prime number? False Let m be ((-3)/(-1))/(0 + 1). Let q be (-304)/48 - (-1)/m. Let i(u) = 9*u**2 + 11*u - 1. Is i(q) a prime number? True Let u(n) = 39159*n**2 - 47*n - 9. Is u(-2) a prime number? False Let s = -17215 + 20252. Is s a composite number? False Let y be (-16)/6 + (-13)/39. Is (911/y)/((-9)/27) a prime number? True Let z = -1126 - -14703. Is z composite? False Let l(v) = -28*v + 3211. Is l(-37) a prime number? False Let r be (-1 - -1*(-3)/(-6))*-46. Suppose 4*u = -s + 17, -u + 0*u + r = 4*s. Suppose -l = u*b - 3*l - 795, -789 = -3*b + 4*l. Is b composite? True Let p(x) = 34*x**2 - x - 7. Let b be 3/((-45)/6)*-5. Suppose 0 = -3*a - 2*s - 8, 0*a - 4*s = b*a. Is p(a) a prime number? True Is (-47)/(-1692)*6 - (-1748434)/12 a prime number? True Suppose 29*m + 59004 = 4*x + 28*m, -2*x - 2*m = -29492. Suppose 2*v = 2
{ "pile_set_name": "DM Mathematics" }
0. 12*t Collect the terms in 0*p**2 + 1049 - 1049 - 9*p**2. -9*p**2 Collect the terms in 0*g**2 + 402*g - 801*g + 399*g + 2*g**2. 2*g**2 Collect the terms in -2*n + 27*n**2 + 2*n - 36*n**2. -9*n**2 Collect the terms in 1 - 1075*q + 1076*q - 1. q Collect the terms in 38*w - 6*w - 8*w - 9*w - 13*w. 2*w Collect the terms in 25*n**3 - 16*n**3 - 11*n**3. -2*n**3 Collect the terms in -1611 + 1611 + 5*c**2. 5*c**2 Collect the terms in -139*i**2 + 6 + 7 - 14. -139*i**2 - 1 Collect the terms in -421 - 51*v + 421 - 53*v. -104*v Collect the terms in 47*w - 7 + 0 + 7. 47*w Collect the terms in 8*s**2 + 0*s**2 + 6*s**2 + 0*s**2. 14*s**2 Collect the terms in -7*g**3 + 6*g**3 + 6*g**3. 5*g**3 Collect the terms in -125 - 4*u + 125. -4*u Collect the terms in 20*n - 20*n - 118*n**2. -118*n**2 Collect the terms in 17*n**3 - 49*n**3 + 20*n**3 + 16*n**3. 4*n**3 Collect the terms in 39*o - 113*o + 41*o + 32*o. -o Collect the terms in 37*l + 28 + 18 - 46. 37*l Collect the terms in -18*b**2 - 25*b**2 - 20*b**2 + 76*b**2 - 19*b**2. -6*b**2 Collect the terms in -4*z + 6*z + 8*z + 3*z + 2*z. 15*z Collect the terms in 114*l**2 - 34*l**2 - 81*l**2. -l**2 Collect the terms in 8*m - 19*m + 0*m. -11*m Collect the terms in -9*k - 3*k + 0*k. -12*k Collect the terms in 56*a**2 + 22*a**2 + 9*a**2. 87*a**2 Collect the terms in -65*p + 36*p - 74*p + 2. -103*p + 2 Collect the terms in -3*q**2 - 26 + 55 - 29. -3*q**2 Collect the terms in 62*d**2 + 131*d**2 - 189*d**2. 4*d**2 Collect the terms in -2377*b + 2377*b - 22*b**2. -22*b**2 Collect the terms in -1768*m**2 + 1768*m**2 + 9*m**3. 9*m**3 Collect the terms in 35*r**2 + 3*r + 14*r - 20*r. 35*r**2 - 3*r Collect the terms in 59751*x**2 - 28*x**3 - 59751*x**2. -28*x**3 Collect the terms in 3975423*b - 3975423*b - 13*b**2. -13*b**2 Collect the terms in -6598*c - 6596*c + 13193*c. -c Collect the terms in -36*x**2 + 117*x**2 - 32*x**2 - 27*x**2 - 38*x**2. -16*x**2 Collect the terms in 54*z - 11*z - 11*z**3 - 43*z. -11*z**3 Collect the terms in 4*n**3 + 0*n - 9*n**3 + 0*n. -5*n**3 Collect the terms in -v**2 - 17563 + 17563. -v**2 Collect the terms in 146*p**3 - 36*p**3 - 32*p**3 - 43*p**3 - 34*p**3. p**3 Collect the terms in 11 - 28 + 2*u - 19. 2*u - 36 Collect the terms in g + 8*g + g + g. 11*g Collect the terms in -y - y + 36*y. 34*y Collect the terms in -3*n + 3*n + 207*n**2. 207*n**2 Collect the terms in -5*w**2 + 501 - w**3 + 5*w**2 - 501. -w**3 Collect the terms in 4*l**2 + 11*l**2 - 3*l**2 - 9*l**2. 3*l**2 Collect the terms in 27*k - 27*k - 28*k**2. -28*k**2 Collect the terms in -3*c + 0 + 7*c + 0. 4*c Collect the terms in 8*a + 7*a**2 - 3*a - 5*a - 9*a**2. -2*a**2 Collect the terms in -38*i**2 - 1 + 1 - 111*i**2. -149*i**2 Collect the terms in 46 - 46 - 2*r. -2*r Collect the terms in 7 - 4 - u - 3. -u Collect the terms in -441*u + 866*u + 778*u. 1203*u Collect the terms in 42 + 8 - 50 + 8*o**3. 8*o**3 Collect the terms in -5*t**2 + 4*t**2 - 15*t**2. -16*t**2 Collect the terms in 12*w**2 - 27*w**2 + 10*w**2. -5*w**2 Collect the terms in -10*x**3 + 21*x**3 - 6*x**3. 5*x**3 Collect the terms in -206*n - 293*n + 503*n. 4*n Collect the terms in -6*d - 13*d + 2*d**2 + 19*d. 2*d**2 Collect the terms in 1 + 509*g**3 - 504*g**3 + 3 - 4. 5*g**3 Collect the terms in 6*v - 16*v + 5 - 5. -10*v Collect the terms in 4*x**2 - 34 + 34. 4*x**2 Collect the terms in 9*d**3 - 2*d**3 - 12*d**3 + 4*d**3. -d**3 Collect the terms in 4*x**3 - 6*x**3 + 75 - 57 - 18. -2*x**3 Collect the terms in 0 - 6 - 6*j**2 + 6. -6*j**2 Collect the terms in 2*y - 73*y - 43*y. -114*y Collect the terms in 2*n + 5*n**3 - 2*n + 4*n**3. 9*n**3 Collect the terms in -14*p + 9*p**2 + 52*p - 11*p - 27*p. 9*p**2 Collect the terms in 25*c**2 + 23*c**2 - 76*c**2 + 24*c**2. -4*c**2 Collect the terms in -24*j - 21*j + 67*j + 12*j**2 - 22*j. 12*j**2 Collect the terms in 16*g**3 - 2*g**3 - 24*g**3 - 26*g**3. -36*g**3 Collect the terms in -24*c**3 + 0*c**3 - 8*c**3 + 10*c**3. -22*c**3 Collect the terms in -15*f + f**2 + 28*f - 13*f. f**2 Collect the terms in -17*p - 5*p**3 + 11*p + 6*p + 7*p**3. 2*p**3 Collect the terms in 4*k - 9*k + 8*k**2 + 10*k. 8*k**2 + 5*k Collect the terms in -2*u**2 + 6*u**2 - 22*u**2 + 6*u**2. -12*u**2 Collect the terms in 75*m**2 - m**3 - 37*m**2 - 38*m**2. -m**3 Collect the terms in 104844 - 104844 + 3*h**2. 3*h**2 Collect the terms in 26*h**2 - 23*h**2 + 18*h**2. 21*h**2 Collect the terms in 4647*p - 9271*p + 4623*p. -p Collect the terms in -23*d + 23*d - 4*d**2. -4*d**2 Collect the terms in -432*d**2 - 389*d**2 + 821*d**2 - 4*d**3. -4*d**3 Collect the terms in -37 - a + 16 + 21 - a. -2*a Collect the terms in 18*b**3 - 59 + 20 - 24. 18*b**3 - 63 Collect the terms in 2*q**3 + 0*q**3 - q**2 + q**2. 2*q**3 Collect the terms in 437*c - 2 - 1320*c + 2. -883*c Collect the terms in 6*m - 3*m + 32*m**2 - m. 32*m**2 + 2*m Collect the terms in 13*n - 33*n - 26*n. -46*n Collect the terms in -2*v + 6*v - 2*v + 5*v. 7*v Collect the terms in -5*i**2 - 6*i**2 + 10*i**2 - i**2. -2*i**2 Collect the terms in -21*c**3 + 1162*c**2 - 1162*c**2 + 3. -21*c**3 + 3 Collect the terms in 9*v**3 - 752 + 752. 9*v**3 Collect the terms in r - 49 + 49. r Collect the terms in 12*j**2 - 5*j**2 + j**2. 8*j**2 Collect the terms in -x**3 + 6*x + 34*x**3 - 7*x**3. 26*x**3 + 6*x Collect the terms in -4 - m**2 - 11*m - 3*m**2 + 4. -4*m**2 - 11*m Collect the terms in 4 + 0 - 5 - 227*n**2. -227*n**2 - 1 Collect the terms in -7*w**3 - 3 + 13 - 10. -7*w**3 Collect the terms in 2*h**2 + 30*h + 10*h - 40*h. 2*h**2 Collect the terms in -2421*c**3 - 2450*c**3 + 4881*c**3. 10*c**3 Collect the terms in -v - 3*v + 12*v - 5*v. 3*v Collect the terms in -5*m**3 + 3*m**3 + 0*m**3. -2*m**3 Collect the terms in 124 - 124 - 3*v. -3*v Collect the terms in 6*n**2 - 136 + 78 + 58. 6*n**2 Collect the terms in -2*z + 4 - 4 + 0*z. -2*z Collect the terms in 5*i + 2*i - 10*i - 26*i. -29*i Collect the terms in -12*p**2 - 499*p - 2*p**3 + 12*p**2. -2*p**3 - 499*p Collect the terms in 103*b**2 + 47*b**2 - 238*b**2. -88*b**2 Collect the terms in -m - 4*m - m. -6*m Collect the terms in 177*u + 175*u + 170*u - u**2 - 522*u. -u**2 Collect the terms in -55*h + 14*h + 37*h. -4*h Collect the terms in 6*p**2 + 655 - 655. 6*p**2 Collect the terms in -6*c**2 - 3*c**3 - 2*c**3 + 2*c**3 + 6*c**2. -3*c**3 Collect the terms in -2*i**3 + 0*i + 0*i. -2*i**3 Collect the terms in j**2 - 42*j - j**2 - 2*j**2. -2*j**2 - 42*j Collect the terms in 1034*h**2 - 5*h - 1022*h**2 + 3*h + 2*h. 12*h**2 Collect the terms in 11*a + 20*a**2 + 29*a**2 - 11*a - 44*a**2. 5*a**2 Collect the terms in -3 + 4 - 79*q - 2 - 2. -79*q - 3 Collect the terms in 1022*m - 1022*m + 7*m**2. 7*m**2 Collect the terms in -18*q + 44*q - 27*q. -q Collect the terms in 31 + 161*x - 31 - 162*x. -x Collect the terms in -3*s**2 - 2*s - 51*s**2 - 26*s**2. -80*s**2 - 2*s Collect the terms in -388 + 139 + 2*x + 125 + 124. 2*x Collect the terms in -13*j**3 + 62*j**3 + 5*j**3. 54*j**3 Collect the terms in -16400*z + 16400*z - 3 + 6*z**2 + 3. 6*z**2 Collect the terms in -17*u**3 + 17*u - 13*u - 4*u. -17*u**3 Collect the terms in 99*g**2 - 69*g**2 + 42*g**2. 72*g**2 Collect the terms in 7*k**3 + 14 + 20*k**3 - 14. 27*k**3 Collect the terms in -54*d**2 + 335*d**2 - 5*d**2. 276*d**2 Collect the terms in 3*w**2 - 16777*w + 16777*w. 3*w**2 Collect the terms in -30 - 9 + 9 + 2*i. 2*i - 30 Collect the terms in -6*j - 2*j - j. -9*j Collect the terms in 345 - 345 - 5*i. -5*i Collect the terms in 14*x**3 - 4*x**3 + 16*x**3. 26*x**3 Collect the terms in -5*f**3 - 5*f + 0*f + 5*f. -5*f**3 Collect the terms in -191*b**3 + 171*b**3 + 27*b**3. 7*b**3 Collect the terms in 24 - 118*j - 53 + 29. -118*j Collect the terms in -4*k - 272 + 136 + 136. -4*k Collect the terms in 4*p**2 - 3*p**2 - 14*p**2 - 13*p**2. -26*p**2 Collect the terms in w**3 - 3*w**3 - 916 + 914. -2*w**3 - 2 Collect the terms in 0*q**2 + 10*q**2 + 0*q**2 + 11*q**2. 21*q**2 Collect the terms in 694 - 345 - 349 + 8*t**2. 8*t**2 Collect the terms in 151 - 151 + 159*b. 159*b Collect the terms in 16*q**2 + 2*q**2 + 0*q**2 + 16*q**2. 34*q**2 Collect the terms in 3*u**2 + 3*u**2 - u**2 - 3*u**2. 2*u**2 Collect the terms in -3*z**3 - 13*z**3 + 15*z**3. -z**3 Collect the terms in -61*r**2 - 26*r**2 - 50*r**2. -137*r**2 Collect the terms in 8*y
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 17564? 2, 4391 List the prime factors of 46001. 157, 293 List the prime factors of 590. 2, 5, 59 List the prime factors of 698. 2, 349 What are the prime factors of 103132? 2, 19, 23, 59 List the prime factors of 1726. 2, 863 List the prime factors of 2841. 3, 947 List the prime factors of 1431. 3, 53 List the prime factors of 1230. 2, 3, 5, 41 What are the prime factors of 3042? 2, 3, 13 What are the prime factors of 2244? 2, 3, 11, 17 What are the prime factors of 7028? 2, 7, 251 List the prime factors of 10484. 2, 2621 List the prime factors of 2873. 13, 17 List the prime factors of 27724. 2, 29, 239 What are the prime factors of 19022? 2, 9511 What are the prime factors of 1224? 2, 3, 17 What are the prime factors of 59166? 2, 3, 19, 173 List the prime factors of 915. 3, 5, 61 What are the prime factors of 5743? 5743 List the prime factors of 69318. 2, 3, 3851 List the prime factors of 16703. 16703 What are the prime factors of 926? 2, 463 List the prime factors of 106. 2, 53 What are the prime factors of 78707? 78707 List the prime factors of 370. 2, 5, 37 What are the prime factors of 1106? 2, 7, 79 What are the prime factors of 5694? 2, 3, 13, 73 List the prime factors of 1168. 2, 73 List the prime factors of 1066. 2, 13, 41 List the prime factors of 6405. 3, 5, 7, 61 List the prime factors of 7088. 2, 443 List the prime factors of 63799. 63799 List the prime factors of 151. 151 What are the prime factors of 1476? 2, 3, 41 What are the prime factors of 22112? 2, 691 List the prime factors of 15919. 15919 List the prime factors of 310. 2, 5, 31 List the prime factors of 95474. 2, 47737 List the prime factors of 67836. 2, 3, 5653 List the prime factors of 21048. 2, 3, 877 List the prime factors of 64053. 3, 11, 647 What are the prime factors of 7725? 3, 5, 103 List the prime factors of 1423. 1423 What are the prime factors of 19416? 2, 3, 809 What are the prime factors of 4356? 2, 3, 11 What are the prime factors of 1082? 2, 541 What are the prime factors of 8190? 2, 3, 5, 7, 13 What are the prime factors of 2597? 7, 53 List the prime factors of 21782. 2, 10891 What are the prime factors of 3816? 2, 3, 53 List the prime factors of 8053. 8053 What are the prime factors of 2884? 2, 7, 103 What are the prime factors of 483? 3, 7, 23 List the prime factors of 8980. 2, 5, 449 List the prime factors of 76077. 3, 79, 107 List the prime factors of 757. 757 List the prime factors of 20073. 3, 6691 List the prime factors of 2414. 2, 17, 71 List the prime factors of 22232. 2, 7, 397 What are the prime factors of 98857? 11, 19, 43 What are the prime factors of 17368? 2, 13, 167 What are the prime factors of 62259? 3, 20753 List the prime factors of 21453. 3, 7151 List the prime factors of 12684. 2, 3, 7, 151 What are the prime factors of 117694? 2, 83, 709 List the prime factors of 22210. 2, 5, 2221 What are the prime factors of 44675? 5, 1787 List the prime factors of 17815. 5, 7, 509 List the prime factors of 23507. 11, 2137 What are the prime factors of 1031? 1031 What are the prime factors of 9850? 2, 5, 197 List the prime factors of 5467. 7, 11, 71 List the prime factors of 7551. 3, 839 What are the prime factors of 4888? 2, 13, 47 What are the prime factors of 5421? 3, 13, 139 What are the prime factors of 9640? 2, 5, 241 List the prime factors of 138418. 2, 7, 9887 List the prime factors of 998. 2, 499 What are the prime factors of 17250? 2, 3, 5, 23 What are the prime factors of 21507? 3, 67, 107 What are the prime factors of 3633? 3, 7, 173 List the prime factors of 6995. 5, 1399 What are the prime factors of 7963? 7963 List the prime factors of 34413. 3, 11471 List the prime factors of 1598. 2, 17, 47 List the prime factors of 39509. 39509 What are the prime factors of 69087? 3, 23029 What are the prime factors of 72680? 2, 5, 23, 79 What are the prime factors of 5310? 2, 3, 5, 59 List the prime factors of 2945. 5, 19, 31 What are the prime factors of 2380? 2, 5, 7, 17 What are the prime factors of 17964? 2, 3, 499 What are the prime factors of 15249? 3, 13, 17, 23 List the prime factors of 120526. 2, 7, 8609 List the prime factors of 143543. 23, 79 What are the prime factors of 3654? 2, 3, 7, 29 List the prime factors of 1454. 2, 727 What are the prime factors of 1551? 3, 11, 47 List the prime factors of 901. 17, 53 List the prime factors of 30987. 3, 11, 313 What are the prime factors of 907? 907 List the prime factors of 386. 2, 193 List the prime factors of 88923. 3, 29641 List the prime factors of 7700. 2, 5, 7, 11 List the prime factors of 14660. 2, 5, 733 What are the prime factors of 2533? 17, 149 What are the prime factors of 48774? 2, 3, 11, 739 List the prime factors of 60123. 3, 7, 409 List the prime factors of 1384. 2, 173 List the prime factors of 24744. 2, 3, 1031 What are the prime factors of 1416? 2, 3, 59 What are the prime factors of 151? 151 List the prime factors of 53144. 2, 7, 13, 73 List the prime factors of 20755. 5, 7, 593 List the prime factors of 1074. 2, 3, 179 List the prime factors of 909. 3, 101 What are the prime factors of 468? 2, 3, 13 What are the prime factors of 1261? 13, 97 What are the prime factors of 579? 3, 193 List the prime factors of 24754. 2, 12377 What are the prime factors of 3164? 2, 7, 113 What are the prime factors of 6990? 2, 3, 5, 233 List the prime factors of 1014. 2, 3, 13 List the prime factors of 746. 2, 373 What are the prime factors of 132920? 2, 5, 3323 List the prime factors of 2087. 2087 List the prime factors of 11059. 11059 List the prime factors of 15800. 2, 5, 79 List the prime factors of 3748. 2, 937 List the prime factors of 9733. 9733 What are the prime factors of 988? 2, 13, 19 List the prime factors of 23666. 2, 11833 What are the prime factors of 1012? 2, 11, 23 List the prime factors of 795. 3, 5, 53 List the prime factors of 31068. 2, 3, 863 List the prime factors of 30398. 2, 15199 What are the prime factors of 948? 2, 3, 79 List the prime factors of 7378. 2, 7, 17, 31 List the prime factors of 249. 3, 83 What are the prime factors of 805? 5, 7, 23 List the prime factors of 10024. 2, 7, 179 List the prime factors of 6578. 2, 11, 13, 23 List the prime factors of 3441. 3, 31, 37 What are the prime factors of 55? 5, 11 List the prime factors of 526. 2, 263 List the prime factors of 6149. 11, 13, 43 What are the prime factors of 19185? 3, 5, 1279 List the prime factors of 1950. 2, 3, 5, 13 List the prime factors of 2059. 29, 71 List the prime factors of 27. 3 List the prime factors of 157826. 2, 23, 47, 73 List the prime factors of 354. 2, 3, 59 What are the prime factors of 22953? 3, 7, 1093 List the prime factors of 796. 2, 199 List the prime factors of 35705. 5, 37, 193 List the prime factors of 218. 2, 109 What are the prime factors of 7903? 7, 1129 What are the prime factors of 62622? 2, 3, 7, 71 List the prime factors of 4486. 2, 2243 List the prime factors of 3465. 3, 5, 7, 11 List the prime factors of 3917. 3917 List the prime factors of 14719. 41, 359 What are the prime factors of 156? 2, 3, 13 List the prime factors of 15726. 2, 3, 2621 What are the prime factors of 14952? 2, 3, 7, 89 List the prime factors of 41905. 5, 17, 29 List the prime factors of 10732. 2, 2683 What are the prime factors of 236? 2, 59 List the prime factors of 428. 2, 107 What are the prime factors of 1258? 2, 17, 37 What are the prime factors of 35403? 3, 11801 What are the prime factors of 58570? 2, 5, 5857 What are the prime factors of 1715? 5, 7 List the prime factors of 85978. 2, 42989 What are the prime factors of 147152? 2, 17, 541 List the prime factors of 1184. 2, 37 List the prime factors of 14176. 2, 443 List the prime factors of 2932. 2, 733 List the prime factors of 2704. 2, 13 List the prime factors of 632. 2, 79 List the prime factors of 362. 2, 181 What are the prime factors of 1305? 3, 5, 29 What are the prime factors of 253? 11, 23 What are the prime factors of 107087? 173, 619 List the prime factors of 15234. 2, 3, 2539 What are the prime factors of 4777? 17, 281 List the prime factors of 2456. 2, 307 List the prime factors of 1111. 11, 101 What are the prime factors of 2027? 2027 What are the prime factors of 1881? 3, 11, 19 List the
{ "pile_set_name": "DM Mathematics" }
33 AM? 2:35 AM What is 54 minutes after 6:54 PM? 7:48 PM What is 63 minutes after 9:51 PM? 10:54 PM What is 468 minutes before 6:20 PM? 10:32 AM What is 430 minutes after 1:07 PM? 8:17 PM What is 543 minutes after 11:49 PM? 8:52 AM How many minutes are there between 10:59 PM and 11:47 PM? 48 What is 286 minutes after 4:03 PM? 8:49 PM How many minutes are there between 8:10 AM and 7:25 PM? 675 How many minutes are there between 10:35 AM and 6:43 PM? 488 How many minutes are there between 2:35 AM and 1:42 PM? 667 How many minutes are there between 4:40 AM and 5:30 AM? 50 What is 605 minutes before 9:12 PM? 11:07 AM What is 576 minutes after 5:11 PM? 2:47 AM What is 468 minutes after 4:05 PM? 11:53 PM How many minutes are there between 6:22 PM and 7:14 PM? 52 How many minutes are there between 8:56 PM and 10:07 PM? 71 What is 289 minutes before 5:42 AM? 12:53 AM How many minutes are there between 4:08 PM and 8:22 PM? 254 How many minutes are there between 7:41 AM and 11:03 AM? 202 How many minutes are there between 12:55 AM and 1:45 AM? 50 How many minutes are there between 8:07 PM and 7:34 AM? 687 What is 508 minutes before 10:49 PM? 2:21 PM How many minutes are there between 6:08 PM and 4:51 AM? 643 What is 401 minutes after 10:20 PM? 5:01 AM What is 557 minutes after 11:14 AM? 8:31 PM How many minutes are there between 6:04 PM and 9:41 PM? 217 What is 557 minutes before 12:09 PM? 2:52 AM How many minutes are there between 4:14 AM and 6:14 AM? 120 How many minutes are there between 11:00 PM and 1:16 AM? 136 How many minutes are there between 7:07 AM and 2:43 PM? 456 What is 252 minutes before 8:55 AM? 4:43 AM How many minutes are there between 7:40 AM and 8:18 AM? 38 What is 173 minutes after 7:29 AM? 10:22 AM How many minutes are there between 5:37 AM and 11:43 AM? 366 What is 295 minutes before 5:36 PM? 12:41 PM How many minutes are there between 2:11 AM and 4:06 AM? 115 How many minutes are there between 9:38 PM and 10:22 PM? 44 How many minutes are there between 12:44 PM and 7:47 PM? 423 How many minutes are there between 11:36 PM and 6:14 AM? 398 How many minutes are there between 5:11 PM and 11:24 PM? 373 What is 546 minutes after 5:19 AM? 2:25 PM How many minutes are there between 10:05 AM and 5:29 PM? 444 What is 387 minutes before 8:41 PM? 2:14 PM How many minutes are there between 10:45 AM and 8:29 PM? 584 What is 388 minutes before 4:17 AM? 9:49 PM How many minutes are there between 8:32 AM and 10:53 AM? 141 How many minutes are there between 6:47 AM and 3:03 PM? 496 How many minutes are there between 11:53 PM and 12:47 AM? 54 What is 53 minutes before 3:48 PM? 2:55 PM How many minutes are there between 5:57 PM and 11:07 PM? 310 What is 687 minutes before 3:28 PM? 4:01 AM What is 291 minutes after 11:04 AM? 3:55 PM How many minutes are there between 3:15 AM and 5:16 AM? 121 How many minutes are there between 4:53 PM and 11:47 PM? 414 How many minutes are there between 10:35 PM and 2:55 AM? 260 How many minutes are there between 9:16 AM and 8:23 PM? 667 What is 491 minutes before 2:41 AM? 6:30 PM How many minutes are there between 10:26 PM and 2:22 AM? 236 What is 443 minutes after 7:27 AM? 2:50 PM How many minutes are there between 1:15 PM and 2:11 PM? 56 How many minutes are there between 4:40 AM and 6:40 AM? 120 How many minutes are there between 6:02 AM and 4:32 PM? 630 What is 175 minutes before 10:15 AM? 7:20 AM How many minutes are there between 7:58 PM and 10:27 PM? 149 How many minutes are there between 6:50 PM and 8:58 PM? 128 How many minutes are there between 8:43 AM and 7:29 PM? 646 How many minutes are there between 10:03 AM and 12:20 PM? 137 What is 719 minutes before 7:40 AM? 7:41 PM How many minutes are there between 4:35 AM and 4:03 PM? 688 How many minutes are there between 6:45 PM and 8:17 PM? 92 What is 616 minutes before 9:04 PM? 10:48 AM How many minutes are there between 10:40 AM and 7:47 PM? 547 How many minutes are there between 7:20 PM and 1:02 AM? 342 What is 315 minutes after 1:55 PM? 7:10 PM What is 328 minutes before 6:26 AM? 12:58 AM How many minutes are there between 9:34 AM and 11:21 AM? 107 How many minutes are there between 9:50 AM and 6:01 PM? 491 What is 204 minutes after 4:38 AM? 8:02 AM How many minutes are there between 12:33 PM and 3:09 PM? 156 How many minutes are there between 12:56 AM and 7:46 AM? 410 What is 618 minutes before 4:40 AM? 6:22 PM How many minutes are there between 1:46 AM and 11:33 AM? 587 What is 595 minutes before 9:03 AM? 11:08 PM What is 41 minutes before 3:47 PM? 3:06 PM How many minutes are there between 7:12 PM and 6:21 AM? 669 How many minutes are there between 4:26 AM and 1:33 PM? 547 How many minutes are there between 8:04 PM and 10:40 PM? 156 How many minutes are there between 4:40 PM and 9:35 PM? 295 What is 714 minutes after 8:27 PM? 8:21 AM How many minutes are there between 10:36 PM and 8:43 AM? 607 What is 353 minutes after 12:41 PM? 6:34 PM What is 472 minutes after 6:29 PM? 2:21 AM What is 243 minutes before 11:42 PM? 7:39 PM How many minutes are there between 1:09 AM and 4:52 AM? 223 What is 705 minutes after 5:33 PM? 5:18 AM How many minutes are there between 5:11 PM and 2:03 AM? 532 How many minutes are there between 2:14 PM and 11:09 PM? 535 What is 92 minutes before 4:17 AM? 2:45 AM What is 76 minutes after 6:00 PM? 7:16 PM How many minutes are there between 4:22 AM and 7:44 AM? 202 How many minutes are there between 12:35 PM and 2:38 PM? 123 How many minutes are there between 4:47 PM and 12:06 AM? 439 What is 69 minutes before 12:58 AM? 11:49 PM What is 482 minutes after 1:54 PM? 9:56 PM How many minutes are there between 3:18 PM and 12:08 AM? 530 What is 611 minutes before 4:56 PM? 6:45 AM What is 4 minutes after 6:23 PM? 6:27 PM How many minutes are there between 4:20 PM and 12:43 AM? 503 What is 172 minutes before 6:03 AM? 3:11 AM What is 10 minutes before 7:53 AM? 7:43 AM How many minutes are there between 3:22 AM and 8:43 AM? 321 How many minutes are there between 12:54 AM and 10:06 AM? 552 How many minutes are there between 8:03 AM and 7:40 PM? 697 How many minutes are there between 11:07 AM and 10:09 PM? 662 How many minutes are there between 3:08 AM and 7:38 AM? 270 How many minutes are there between 11:23 PM and 5:34 AM? 371 How many minutes are there between 12:59 PM and 12:31 AM? 692 What is 195 minutes after 1:57 AM? 5:12 AM What is 535 minutes after 3:29 PM? 12:24 AM What is 655 minutes before 10:36 AM? 11:41 PM How many minutes are there between 8:51 AM and 6:35 PM? 584 How many minutes are there between 9:30 AM and 7:19 PM? 589 How many minutes are there between 9:19 AM and 1:49 PM? 270 How many minutes are there between 10:28 PM and 3:21 AM? 293 What is 444 minutes after 4:03 PM? 11:27 PM What is 289 minutes before 6:46 PM? 1:57 PM How many minutes are there between 4:31 PM and 1:44 AM? 553 What is 480 minutes before 3:56 AM? 7:56 PM How many minutes are there between 6:31 AM and 9:07 AM? 156 How many minutes are there between 7:58 AM and 5:28 PM? 570 How many minutes are there between 1:47 AM and 3:47 AM? 120 What is 53 minutes before 3:48 AM? 2:55 AM How many minutes are there between 10:47 AM and 7:15 PM? 508 What is 172 minutes after 4:31 PM? 7:23 PM How many minutes are there between 9:00 AM and 7:12 PM? 612 What is 406 minutes after 1:30 PM? 8:16 PM What is 419 minutes before 12:12 PM? 5:13 AM What is 624 minutes before 10:29 AM? 12:05 AM What is 445 minutes after 5:44 PM? 1:09 AM How many minutes are there between 7:02 AM and 9:17 AM? 135 How many minutes are there between 7:32 PM and 5:08 AM? 576 What is 170 minutes before 4:58 AM? 2:08 AM What is 708 minutes before 9:24 PM? 9:36 AM How many minutes are there between 11:46 AM and 3:17 PM? 211 What is 97 minutes before 7:49 PM? 6:12 PM What is 51 minutes before 8:18 PM? 7:27 PM How many minutes are there between 4:57 AM and 12:00 PM? 423 How many minutes are there between 1:23 PM and 10:03 PM? 520 How many minutes are there between 8:04 PM and 5:02 AM? 538 How many minutes are there between 10:09 AM and 6:03 PM? 474 What is 149 minutes after 4:11 PM? 6:40 PM How many minutes are there between 11:59 AM and 8:39 PM? 520 How many minutes are there between 8:54 PM and 3:07 AM? 3
{ "pile_set_name": "DM Mathematics" }
reatest common divisor of m and 105. 15 Let v = -10 + 17. Suppose -4*i - 2*q - q + 113 = 0, 5*q = -i + v. What is the highest common factor of i and 4? 4 Let r = -315 + 173. Let m be (-3)/(-6) + r/(-4). What is the highest common divisor of 4 and m? 4 Let x be (-266)/(-18) + (-2)/(-9). Let c be 3/(-12) + (-61)/(-4). What is the greatest common factor of x and c? 15 Suppose 0*g = 3*o + g - 69, -2*g - 82 = -4*o. Calculate the highest common factor of o and 66. 22 Suppose 16 = -4*c + 8*c. Let j(w) = -2*w**2 + 5*w - 5. Let o be j(c). Let r = o - -25. Calculate the greatest common factor of r and 72. 8 Let n be (252/10)/(-3)*-5. Let w = n - 12. Calculate the greatest common factor of w and 6. 6 Let c(d) be the first derivative of -d**2/2 + 4*d - 1. Let y be c(-3). Suppose 0 = -l, -3*s - 3*l + 42 = -4*l. What is the highest common factor of y and s? 7 Let b be 1*-30*147/(-35). Let t(s) = s**2 - 11. Let n be t(-5). Calculate the greatest common factor of n and b. 14 Let r = 74 - -46. Calculate the highest common divisor of r and 36. 12 Let d be -3 + 302/(2 - 0). Suppose d = 2*y - 62. What is the highest common divisor of 42 and y? 21 Suppose -5*l - d = -12, 0 = -l - 0*d - d. What is the greatest common factor of 15 and l? 3 Let u(l) = 8*l**2 + 4*l - 4. Let g be u(-4). Let q be (-2)/4*g/(-2). Suppose -4*f + f = -r - 10, r = 2*f - 7. Calculate the highest common factor of f and q. 3 Suppose -g = -o - 31, -10 = 4*g - 26. Let r = o + 47. What is the highest common divisor of r and 5? 5 Let m = -139 - -160. What is the greatest common divisor of m and 63? 21 Let m be (-1068)/30 - 2/5. Let f be (11/(-3))/(6/m). Suppose p - f + 10 = 0. What is the highest common factor of p and 60? 12 Let j(r) = r**3 - 10*r**2 - 11*r - 1. Let f be j(11). Suppose -4*p + 4 = -16. Let h be (f + 2)*(20 - p). Calculate the greatest common factor of h and 15. 15 Suppose -24 + 112 = 2*j. Suppose p = v - p - 22, 2*v + p = j. What is the greatest common factor of v and 2? 2 Suppose 4*x + 0*g = 2*g + 56, x - 2*g = 14. Calculate the greatest common divisor of 63 and x. 7 Let t be 4/18 - (-148)/(-18). Let h be (t/(-6))/(2/9). Suppose -3*b = x - 34, -b + 8 = 2*x - 0*x. Calculate the greatest common factor of b and h. 6 Let j = 14 + -8. Let t be (-4)/8*4*-1. Calculate the greatest common divisor of j and t. 2 Let w(z) = 2*z + 2. Let q be w(10). Suppose 0*s = -s - 3. Let t be (-22)/((-4)/((-6)/s)). What is the highest common factor of q and t? 11 Let x = 156 + -106. Let b = -120 + 245. What is the highest common factor of b and x? 25 Let a be (17 - 15)/((-2)/(-6)). Calculate the greatest common factor of 42 and a. 6 Suppose 13 = 3*i - 2. Let o = i + 75. Suppose -h - 145 = -3*f, -3*f + 2*h + 60 = -o. Calculate the highest common divisor of f and 10. 10 Let z be ((-6)/21 - (-976)/84)*33. What is the highest common divisor of z and 34? 34 Let l = 42 - 12. Let v(u) = u**2 + 7*u - 8. Let w(h) = -1. Let f(t) = -v(t) + 2*w(t). Let x be f(-7). What is the greatest common factor of l and x? 6 Let h(m) = m**2 + 13*m**2 - 1 + 19*m**2. Let b be h(-1). Calculate the greatest common factor of b and 80. 16 Suppose 0 = 2*s - 3*o - 33, 4*s + 2*o - 57 = 49. Let h(w) = 14*w - 10. Let p be h(5). What is the greatest common factor of s and p? 12 Suppose 0 = -4*c + 50 + 206. Suppose -2*n = 3*h - 50, -3*n + 35 = 2*h - 0*h. What is the greatest common factor of h and c? 16 Suppose -3*w + 10*w = 1680. Calculate the highest common factor of 30 and w. 30 Suppose 40 = 2*f + y, 5*y = -7*f + 2*f + 90. Suppose 0*t = -t + f. Calculate the greatest common divisor of t and 2. 2 Let y be ((-6)/4)/((-1)/(-4)). Let g = y + 7. Let k be (g + -2)/((-2)/44). What is the highest common divisor of k and 33? 11 Let r(u) = -u**3 + 5*u**2 + 6*u + 3. Let z = 13 - 18. Let l be r(z). Suppose 3*j = l - 7. Calculate the highest common divisor of 8 and j. 8 Suppose -6*i + 2*i = 0. Suppose -2*h - 4*n + 2 = i, n + 4 + 27 = 4*h. Let a be 1*-7*-1*1. What is the greatest common factor of h and a? 7 Let k(g) = -g**2 + 5*g + 7. Let n be k(6). Let v be (-1 - -6) + 1 + -1. Let j be (36/v)/(n/5). What is the greatest common divisor of j and 24? 12 Suppose 72 + 0 = 3*m. Let r be ((-27)/18)/((-6)/32). Let b = 14 - r. Calculate the greatest common factor of m and b. 6 Suppose 510 = 6*v + 204. Calculate the highest common divisor of 34 and v. 17 Let j be ((-12)/15)/((-4)/10). Let o = 57 + -35. What is the highest common factor of j and o? 2 Let w = 37 - 29. What is the highest common factor of 2 and w? 2 Let d(i) = -i - 5. Let r be d(-7). Let c be 29/2 - r/(-4). Calculate the greatest common divisor of 75 and c. 15 Suppose 5*v = 1 + 4, -v - 44 = 5*l. Let i = l - -25. Suppose -5*t + 3*c = -865, -2*c - 203 - 139 = -2*t. What is the highest common factor of i and t? 16 Let r(q) be the third derivative of -q**5/60 + q**4/6 + 7*q**3/6 - 2*q**2. Let o be r(5). Calculate the greatest common divisor of 18 and o. 2 Let m(d) = -d**3 + 18*d**2 + 19*d + 10. Let j be m(19). Let k be 11 + 1 + 4 + -1. What is the greatest common factor of k and j? 5 Let i be 5/(2 - (0 - -1)). Suppose 2*h - 3 + 9 = 0. Let r = i + h. What is the highest common divisor of r and 16? 2 Suppose 3*r - 5*h = -0*h + 54, -r + 2*h = -19. Suppose 4*g - 19 - 17 = 0. Let l = r - g. What is the highest common factor of l and 2? 2 Suppose 2*o = o + 23. Suppose 2*j + 3 - o = 0. Calculate the highest common factor of 10 and j. 10 Suppose m = g + 6, -3*g + 0 + 36 = 3*m. Suppose 0*l = 3*l - 108. Calculate the highest common divisor of m and l. 9 Suppose 2*m + 1 = c, 5*m = 2*c + 1 - 5. Let g = 14 + c. Suppose a - 31 + 0 = -4*b, 0 = -4*a - 4*b + 64. Calculate the highest common factor of g and a. 11 Suppose 0 = 2*q + 2*q - 64. Suppose -5*h = -f + 228, 4*h - 4*f + 24 = -168. Let m = h - -173. What is the highest common factor of m and q? 16 Let n = 17 - -19. Let a be -2 - (0 + 7)*-1. Suppose 9 = t + 5*j, 5*j + 20 = a*t + 5. Calculate the greatest common factor of t and n. 4 Let g = -13 + 21. Let r be ((-20)/(-5))/(2/4). Calculate the greatest common factor of r and g. 8 Suppose 3*c - 3*k + 93 = 0, c + 39 = 5*k - 0*k. Suppose x - 266 = 5*g, -27 = g + x + 31. Let w = c - g. What is the highest common factor of 10 and w? 5 Let a = -7 + 10. Let f be (-34)/(-4) + (-3)/(-6). Suppose f + 0 = v - 2*o, 2*v + 3*o = 39. What is the highest common divisor of v and a? 3 Let n(p) = -3*p - p + 2 + 2*p. Let m be n(-4). Calculate the greatest common factor of m and 50. 10 Suppose 0 = t + 5 - 18. Suppose -5*f + 2 = -t. Calculate the highest common factor of 2 and f. 1 Let d = 6 + -4. Suppose 12 = -3*n, -2*u - 4*n + 42 = -d*n. Suppose 0 = -2*i + 10, 0 = -m - 2*i + u. What is the greatest common divisor of 120 and m? 15 Let m = -5 + 15. Let h be 16/6*(-270)/(-6). Suppose 0 = 4*t - 3*a - 243 - h, -3*t - 3*a = -267. Calculate the highest common divisor of m and t. 10 Let f(s) = 2*s**2 + 6. Let u be f(3). Calculate the highest common factor of u and 2. 2 Let o(h) = -9*h + 25. Let d be o(0). What is the highest common factor of 175 and d? 25 Suppose 3*y - 4*a = 10, -2*y + 2*a + 8 + 0 = 0. Let u(d) = d - 6. Let z be u(y). Let t be (1 - z) + 58/2. Calculate the greatest common divisor of t and 45. 15 Let f(y) = -y**3 + 17*y**2 + 18*y + 26. Let l be f(18). Calculate the greatest common divisor of 286 and l. 26 Suppose 260 = 3*r + r. Let u(n) = n**2 + 12*n - 2. Let c be u(-14). What is the greatest common factor of c and r? 13 Let i be (9 + -6)*(-28)/(-3). What is the greatest common factor of i and 42? 14 Let b be (-3423)/(-18) + (-8)/48. Calculate the greatest common factor of 20 and b. 10 Suppose 0 = 5*x - x - 180. Suppose x + 15 = 5*t. Suppose -q - 4*z + 140 = -2*z, z - 4 = 0. What is the highest common divisor of q and t? 12 Let j(u) = u**2 + u - 1. Let a be j(-2). Suppose -f - 3 = -17. Suppose 4 = 2*l - f. What is the highest common factor of l and a? 1 Let v be 3*5/(-15) + 21. Calculate the greatest common factor of v and 5. 5 Let a(p) = p + 5. Let q be a(-9). Let v(y) = -25*y + 5. Let z be v(q). What is the greatest common factor of 21 and z? 21 Let c be (-5 + 4)*-2*1*2. Suppose 0 = 3*v - 0*v. Suppose v = 4*f - 6 - 74. What is the highest common factor of c and f? 4 Suppose w = b + 136 + 96, 0 = 2*b. Suppose 4*p = 3*y - w
{ "pile_set_name": "DM Mathematics" }
l(0)? 25 Let z(a) = 4521*a + 4533. Give z(-1). 12 Let b(d) = -4*d**3 + 134*d**2 + 70*d - 40. Calculate b(34). 28 Let s(u) = -u**3 - 62*u**2 - 96*u - 2133. Determine s(-61). 2 Let l(c) = c**3 - 84*c**2 + 469*c - 69. Determine l(78). 9 Let v(q) = q**2 - 149*q + 2901. Calculate v(23). 3 Let k(y) = -y**2 + 32*y + 905. What is k(50)? 5 Let w(j) = -j**3 + 24*j**2 + 84*j - 9. Calculate w(27). 72 Let s(l) = -2*l**3 - 12*l**2 - 68*l - 580. Determine s(-7). -6 Let n(w) = -w**3 + 8*w**2 + 29*w + 34. Determine n(11). -10 Let x(c) = c**3 + 29*c**2 + 75*c + 215. Give x(-27). -352 Let i(c) = -88*c + 1330. Calculate i(15). 10 Let q(l) = -8*l**3 - 4*l**2 + 8*l + 9. Determine q(-2). 41 Let q(j) = 2*j**3 + 10*j**2 - 47*j - 133. Calculate q(-9). -358 Let o(m) = 7*m**2 - 76*m - 596. Calculate o(-9). 655 Let o(n) = -n**2 + 12*n + 34. Calculate o(-3). -11 Let m(o) = 6*o**3 - o**2 - 34*o - 32. What is m(-1)? -5 Let i(v) = v**3 + 25*v**2 - 74*v + 114. What is i(-28)? -166 Let d(l) = 13*l**2 - 161*l + 28. Determine d(12). -32 Let v(b) = -4*b**3 - 218*b**2 - 2039*b + 24. Calculate v(-12). 12 Let q(l) = l**2 - 9. Calculate q(-10). 91 Let m(s) = -14*s + 57. Determine m(18). -195 Let c(j) = 64*j - 1580. Calculate c(25). 20 Let n(x) = 2*x**2 + 41*x - 307. Determine n(-31). 344 Let f(c) = 20*c + 63. What is f(-18)? -297 Let d(x) = x**2 + 40*x - 131. Give d(3). -2 Let k(n) = 167*n - 2014. Give k(12). -10 Let j(l) = -84*l - 2. What is j(0)? -2 Let h(p) = 2*p**2 - 231*p + 115. What is h(115)? 0 Let x(b) = b**2 + 56*b + 138. Calculate x(-54). 30 Let s(o) = -o**3 - 15*o**2 - 23*o + 7. Give s(-11). -224 Let d(u) = u**3 - 20*u**2 - 2*u - 13. Calculate d(4). -277 Let y(f) = -2*f**3 - 3*f**2 - 6*f - 12. What is y(-2)? 4 Let j(v) = -1158*v + 17357. Give j(15). -13 Let t(l) = -66*l**3 - 2*l**2 + 4*l + 3. Calculate t(1). -61 Let o(h) = -h**2 + 199*h - 3253. Calculate o(181). 5 Let b(y) = 7*y**2 - 23*y - 54. Calculate b(5). 6 Let u(c) = 5*c**3 - 5*c**2 - 10*c + 22. Give u(2). 22 Let m(k) = 7*k**2 - 122*k - 9. Calculate m(19). 200 Let v(d) = 62*d + 495. Determine v(-5). 185 Let t(h) = -h**3 - 16*h**2 + 56*h - 15. Give t(-19). 4 Let j(i) = i**2 + 12*i - 290. What is j(12)? -2 Let j(q) = q**3 - 56*q**2 + 162*q - 140. Give j(53). 19 Let a(l) = l**2 + 13*l + 19. What is a(-11)? -3 Let i(f) = -18*f + 691. Give i(9). 529 Let j(m) = -m**3 - 54*m**2 + 233*m + 9. Calculate j(-58). -49 Let o(n) = 82*n - 214. Determine o(4). 114 Let a(v) = -2*v + 123. What is a(5)? 113 Let d(w) = -8*w**2 + 982*w - 706. Give d(122). 26 Let c(l) = -4*l**3 + 46*l**2 + 286*l - 2697. Give c(13). 7 Let h(l) = -4*l**3 + 83*l**2 + 25*l - 87. Give h(21). -3 Let b(j) = -j**3 - 2*j**2 + 34*j - 89. What is b(4)? -49 Let f(v) = 23*v - 1. Calculate f(9). 206 Let b(s) = -6*s**2 + 170*s - 62. Give b(28). -6 Let n(r) = -r**2 + 76*r - 1371. Calculate n(44). 37 Let h(t) = -3*t**2 - 146*t - 873. Give h(-7). 2 Let o(x) = -x**3 - 13*x**2 + x + 34. Give o(-13). 21 Let r(b) = -2*b**2 + 35*b - 217. Calculate r(7). -70 Let i(o) = 3*o**3 - 3*o**2 - 473*o + 1425. Determine i(3). 60 Let h(x) = -436*x + 2690. Give h(6). 74 Let v(z) = -z**3 - 3*z**2 + 422*z + 2080. Determine v(-5). 20 Let n(i) = i**3 - 74*i**2 + 11*i - 902. What is n(74)? -88 Let y(f) = 40*f**2 + 211*f - 155. Give y(-6). 19 Let h(z) = -z**3 - 11*z**2 + 6*z - 121. What is h(-12)? -49 Let f(y) = -2*y**2 - 23*y + 61. Determine f(2). 7 Let n(g) = -12*g - 831. Calculate n(-69). -3 Let o(n) = -n**2 + 3*n + 40. Give o(7). 12 Let f(q) = -465*q - 9226. Give f(-20). 74 Let x(i) = 2*i**2 + 88*i - 337. What is x(-48)? 47 Let g(c) = 4*c**2 - 23*c - 15. What is g(10)? 155 Let f(k) = k**2 + 227*k + 1120. Determine f(-5). 10 Let v(q) = -q**3 + 16*q**2 + 14*q. What is v(-1)? 3 Let g(b) = 24*b - 172. Calculate g(0). -172 Let n(l) = -l**3 - 24*l**2 - 90*l - 3610. Calculate n(-26). 82 Let k(u) = -u**2 - 26*u + 63. Calculate k(-14). 231 Let u(a) = 2*a**3 - 9*a**2 - 8*a + 51. What is u(6)? 111 Let h(f) = 188*f + 67. What is h(0)? 67 Let t(s) = -22*s + 1545. What is t(71)? -17 Let u(w) = 39*w**3 + 4*w**2 - 3*w - 3. Give u(2). 319 Let b(k) = 15*k - 16. What is b(2)? 14 Let w(c) = -58*c + 939. Give w(16). 11 Let l(w) = -18*w - 407. What is l(-25)? 43 Let x(v) = -v**3 - 10*v**2 + 60*v - 39. Determine x(-15). 186 Let g(u) = -23*u + 369. What is g(26)? -229 Let q(b) = -b**3 - 118*b**2 - 355*b - 1160. Determine q(-115). -10 Let z(s) = 57*s + 516. Determine z(-9). 3 Let k(h) = -14*h**2 + 4*h - 22. What is k(-4)? -262 Let h(n) = 7*n**2 + 414*n - 790. Determine h(-61). 3 Let z(l) = l**2 - 319*l + 8677. What is z(30)? 7 Let k(a) = -48*a - 2836. Give k(-48). -532 Let y(t) = -t**3 + 4*t**2 + 24*t - 16. Give y(6). 56 Let q(l) = l**3 - 67*l**2 + 126*l + 23. Calculate q(2). 15 Let v(x) = 4446*x + 62253. Give v(-14). 9 Let s(l) = 3*l**3 + 18*l**2 + 12*l + 16. Calculate s(-5). 31 Let g(q) = -2*q**3 + 86*q**2 - 94*q + 371. Calculate g(42). -49 Let u(q) = q**2 + 57*q + 326. What is u(-7)? -24 Let b(f) = -28*f**3 + 3*f**2 - 10*f + 7. Determine b(2). -225 Let i(a) = 411*a - 4110. Give i(10). 0 Let s(g) = 1950*g + 7790. Calculate s(-4). -10 Let a(k) = 8*k + 257. Calculate a(-26). 49 Let w(s) = s**3 + 10*s**2 - 4*s + 22. What is w(-8)? 182 Let p(s) = -7*s**2 - 83*s - 24. Calculate p(-12). -36 Let y(m) = m**2 + 18*m - 567. What is y(16)? -23 Let i(w) = -1202*w - 3617. Calculate i(-3). -11 Let q(r) = -2*r**2 - 63*r - 14. Give q(-28). 182 Let z(l) = 81*l**2 + 9*l + 9. Give z(-1). 81 Let q(u) = 4*u + 195. Calculate q(-74). -101 Let x(f) = f**3 + 46*f**2 - 313*f - 53. What is x(-52)? -1 Let m(z) = 2*z**2 - 151*z + 567. Calculate m(65). -798 Let k(z) = -4*z**2 + 122*z - 838. What is k(7)? -180 Let s(l) = 494*l + 118066. Give s(-239). 0 Let h(b) = 5*b**2 + 99*b + 370. Give h(-4). 54 Let u(k) = -604*k + 30202. Determine u(50). 2 Let v(k) = 3*k**2 - 1918*k + 73599. What is v(41)? 4 Let t(p) = 2*p**2 + 3*p - 841. Determine t(23). 286 Let o(f) = -2*f - 144. Calculate o(-49). -46 Let a(c) = 2*c**3 + 50*c**2 - c - 26. Give a(-25). -1 Let c(i) = 2*i**2 + 54*i - 13861. Determine c(71). 55 Let m(y) = -10*y - 241. Give m(-28). 39 Let t(g) = 3*g**2 + 22*g - 108. Determine t(4). 28 Let s(u) = -42*u**2 - 210*u - 19. Calculate s(-5). -19 Let s(o) = o**2 + 51*o - 1541. Give s(21). -29 Let x(y) = 3118*y - 74818. Give x(24). 14 Let k(v) = v**3 - 21*v**2 + 52*v - 24. Give k(17). -296 Let o(i) = -2*i**2 + 186*i + 2997. Give o(107). 1 Let x(c) = 2*c**3 + 21*c**2 - 22*c - 79. Determine x(-11). 42 Let h(x) = -7*x + 37. Calculate h(-14). 135 Let i(a) = 136*a + 715. Calculate i(-6). -101 Let j(t) = -3*t**2 - 135*t + 12. Calculate j(-45). 12 Let q(o) = -o**2 - 249*o + 1008. Determine q(4). -4 Let y(b) = -63*b + 66. Calculate y(1). 3 Let f(w) = 33*w**2 + 10*w - 9. Give f(1). 34 Let i(l) = 36*l - 273. What is i(8)? 15 Let n(v) = 3*v**3 + 890*v**2 - 1194*v - 601. Calculate n(-298). -5 Let l(d) = 1505*d + 7522. Calculate l(-5). -3 Let s(g) = -g**3 + 127*g**2 - 3278*g + 56. Give s(36). -16 Let n(m) = -250*m - 3491. What is n(-14)? 9 Let k(h) = 20*h**2 + 225*h + 42. What is k(-13)? 497 Let p(r) = -r - 40. Calculate p(-23). -17 Let j(c) = -3*c**3 - 30*c**2 - 3*c - 6. Determine j(-10). 24 Let o(b) = -6*b**2 + 92*b + 359. Determine o(-4). -105 Let k(v) = -16*v + 826. Give k(43). 138 Let y(j) = 24*j**3 + 3*j**2 - 29*j - 31. Determine y(-1). -23 Let i(u) = -u**3 - 10*u**2 + 13*u. What is i(5)? -310 Let d(v) = 3*v**3 + 19*v**2 - v - 42. What is d(-6)? 0 Let g(q) = q**2 - 633*q + 57527. Calculate g(110). -3 Let m(y) = -y**3 - 27*y**2 - 45*y + 62. Give m(-25). -63 Let y(o) = o**2 - 82*o - 3085. What is y(110)? -5 Let l(j) = -3*j**3 + 35*j**2 - 131*j + 32. Give l(6). -142 Let v(a) = 3*a**3 + 203*a**2 + 135*a + 20. Calculate v(-67). -47 Let v(d) = 29*d - 221. Give v(6). -47 Let z(b) = 7*b**2 - 355*b + 762. Give z(48). -150 Let b(v) = -3*v**3 + 43*v**2 + 75*v + 29. Calculate b(16). -51 Let q(h) = 127*h - 842. Calculate q(7). 47 Let n(y) = -11*y**2 - 191*y - 168. Determine n(-16). 72 Let i(o) = 35*o - 26. Give i(-6). -236 Let s(o) = -o**3 - 2*o**2 + 23*o - 35. Calculate s(3). -11 Let d(j) = 67*j + 4. Calculate d(2). 138 Let x(p) = -19*p + 110. What is x(9)? -61 Let y(d) = -23*d - 546. What is y(-25)? 29 Let s(c) = -2*c**3 + 10*c**2 - 5*c + 8. Calculate s(5). -17 Let w
{ "pile_set_name": "DM Mathematics" }
-c = -t + 3 for t. 3 Suppose 0*g = -5*g + 495. Suppose 0 = 3*p, 0 = -5*a + 4*p - 24 + g. Solve -5*j = -4*x + a, -5*x - 5 = j - 2 for j. -3 Let i(l) = l**2 + 5*l. Let o be i(-5). Let j = 1 + 2. Solve j*u = 5*m - o - 12, -m + 5*u - 2 = 0 for m. 3 Suppose 5 = t - 5*g, 0 = -t - g - 1. Solve t = -2*n - 4*q + 4, -3*n + 4*q - 4 = 20 for n. -4 Suppose 3*l + 2*l - 15 = 0. Suppose -y = -l*y. Suppose 4*g = -y*g + 8. Solve -4*a - 13 = 3*f, -a = 4*f - 5*f - g for f. -3 Let y(v) = 3*v - 2. Let d be y(2). Solve 0 = -2*n + 2*t + 8, n - 6 = 3*t - d for n. 5 Suppose 6*q - 3*q - 9 = 0. Solve -3*r + 2*r + 2*u = -4, -2*u = -q*r for r. -2 Let v be (-3)/(2*(-9)/12). Let h = v - 0. Solve -h*r = -o - 8, o + 7 - 23 = -4*r for o. 0 Let o = -1 + 4. Suppose -o*n - 12 = -3*m, 5*n + 2 = 7. Solve -z = 2*z + 5*x + 6, m*z + 10 = 2*x for z. -2 Suppose 5*m + i - 19 = 7, 0 = -4*m + 5*i + 15. Solve -2*y + 0*w = w + 12, 0 = 3*y + m*w + 32 for y. -4 Let y(l) = l**3 - 13*l**2 + 13*l - 8. Let r be y(12). Solve 4*x - 11 = 3*p, -x + 18 = -r*p + x for p. -5 Let a = 2 - 0. Suppose 0 = p - a*p - 4*z + 22, -5*p - 5*z = -35. Let w = 11 + -8. Solve w = -t + p*u, -8 = -0*t + 4*t - 4*u for t. -1 Let t(v) = -v**2 + 10*v + 16. Let g be t(11). Suppose -g = -2*d + d. Solve d*h - 4 - 6 = 4*p, 2*p + 5*h = -20 for p. -5 Let x(u) = -u**3 - 2*u**2 + 9*u + 7. Let f be x(-4). Solve -2*b + f*n - 14 = 0, -5*b - 6 - 4 = 5*n for b. -4 Suppose 2*h + 6 = -s, -6*s + 9 = -2*s - 3*h. Solve -5 - 10 = -5*c - 4*g, s = -4*c + 5*g + 12 for c. 3 Let g = 16 - 23. Let u = g + 21. Solve w + 3 = 2*v + u, -3*v - w - 14 = 0 for v. -5 Suppose 5*o - 21 - 6 = -s, 3*s = -o + 11. Solve d + s*m + 6 = -1, 0 = -5*d - 4*m - 5 for d. 3 Let q = 42 - 21. Let y be 19 + -2 + (3 - 0). Solve -2*l = -4*i + 2*l - y, 3*i - 5*l = -q for i. -2 Let q = -88 + 93. Solve -4*x = 5*j + 6, 0*j - q*j = 3*x + 7 for x. 1 Let b(p) = p**3 - 5*p**2 - 4*p - 10. Let q = 17 + -11. Let c be b(q). Solve 0 = -2*k + 4*k - 4*v - c, -4*k = -5*v - 4 for k. 1 Suppose 22 + 3 = -5*z. Let b = z - -14. Solve 0*q = 4*q - 5*w - 7, -2*q + b = 3*w for q. 3 Let k(r) = r**2 + 5*r + 9. Let o be k(-3). Solve -5*f = -5*m - 0 + 15, -o*f = 2*m + 9 for m. 0 Let d = 11 + -7. Let w = -136 + 139. Solve w*z + 14 = d*v + 3, -2*v = 2 for z. -5 Let r(v) = -v + 9. Let t be r(4). Let b = t + -5. Suppose d - 5 = -0*d. Solve 2*o - 22 = 4*g, b*o + 34 = -3*g + d*o for g. -3 Let f(z) = 3*z - 11*z - 5 + 9*z + 14. Let o be f(-4). Solve -o*q = -2*t - 25, -5 + 3 = t + q for t. -5 Let n(f) = 5*f - 60. Let b be n(13). Solve 3*l - b*i = l - 21, -11 = 2*l - 3*i for l. 2 Suppose o = -0*o - 10*o. Solve -5*b + 5*t = -20, o = 2*t + 7 + 3 for b. -1 Suppose -4*k + 3*x - 9 = -67, -x - 30 = -2*k. Let n = k - 11. Solve 0*d + d + p - 3 = 0, -p = -n*d - 15 for d. -2 Let t be 4 - (1 + -1)/((-1)/1). Solve 9 = 3*p - 2*d, -t*p = -2*d - 3 - 9 for p. 3 Let i(a) = a**3 + 2*a**2 - 1. Let l be (2/(-4) + 0)*2. Let k be i(l). Solve k = 5*n + 4*s - 4 - 5, 0 = s + 4 for n. 5 Let m(w) = w**2 + 3*w + 1. Let g be m(-4). Suppose 9 = 5*r + 34, -5*o = -g*r - 85. Solve f - 6*f + 3*k = -4, 0 = -4*k - o for f. -1 Let d(m) = -m**3 - 2*m**2 + m - 1. Let q be d(-3). Suppose -q*s = -3*s. Suppose s*w - 100 = -4*w. Solve -5*r + 4*k = 3*k - w, -4*k = 5*r for r. 4 Let g(a) = a**3 + a**2 - 3*a - 2. Let b be g(-2). Suppose -i - 2 + 6 = b. Solve -y = 2*z - 5, -2*y - i*z - 8 = -6*y for y. 3 Let m be (-4)/(2*-1) - -20. Let o be (2 + -2 - 1) + m. Let c be (2 - 1)/(2/4). Solve 3*j + o = -c*n, j - 3*j = n + 13 for n. -3 Let k(d) = d**3 + 4*d**2 - 4*d + 7. Let o be k(-5). Let c(u) = 2*u**2 - 3*u + 3. Let y be c(2). Solve 0*f = o*f - 6, y*f - 6 = -3*h for h. -3 Let r(x) = x. Let p be r(2). Suppose 0 = n + 4*g - 0*g - 16, 0 = n + 3*g - 12. Solve -4*o - l - 5 = 0, n = -3*o + p*l - 1 for o. -1 Suppose 2 = -2*m - 4, 5*r - 3*m - 34 = 0. Solve 30 = -5*j + 5*u, r*j + 22 + 2 = -u for j. -5 Suppose 1 - 3 = -s. Let z(o) = 6 - 1 + 2*o**2 - o**s. Let u be z(0). Solve 2*g = -u*v + 13, 4*v - 15 = 5*g + 2 for g. -1 Let a(q) = q + 10. Let z be a(11). Let l = 1 + 1. Solve -10 = -l*g - 3*p, -z = 5*g - 3*p - 4 for g. -1 Suppose 2*f - 1 - 33 = 0. Solve -s - 4*q + 14 = -2*s, s = 5*q - f for s. -2 Suppose -3 = -2*t + t. Solve -4*r - 3*i - 12 = 8, t*i - 20 = 4*r for r. -5 Let r(a) = a + 9. Let d be r(0). Let y be 1 + (-1 - -2*11). Solve -2*b = -4*k - y, -2*b + 1 = -k - d for k. -4 Suppose 0*x - 5*x = -40. Let t(u) = u**3 + 5*u**2 - u + 6. Let o be t(-5). Let a = x + o. Solve v = -4*j + 15, -3*v + a - 4 = 2*j for j. 3 Let u = 45 - 36. Solve -m + 3*y + y = u, -5*m = 2*y - 21 for m. 3 Let h(b) = 3*b - 25. Let n be h(9). Solve 4*c - 20 = 0, 20 = -n*x + 5*c - 13 for x. -4 Let h be ((-21)/(-14))/(2/(-4)) + 6. Solve 0 = x - 5, 2*m + h*m = 5*x - 10 for m. 3 Let h(a) = -2*a + 19. Let u be h(6). Solve 0 = -5*r + 4*w + 17, -r + u = 2*r - 4*w for r. 5 Let p = 40 - -45. Suppose -2*n + p = 5*h - 5*n, 2*n = -h + 17. Let z(a) = -a**2 + 4*a - 3. Let y be z(3). Solve -3*l + 2*u - 13 = y, 3*l - 2*u + 6*u = h for l. -1 Suppose -2*h = -9 - 1. Let f = h + -1. Suppose 5*t - 14 = -3*d, -4*t - t + 20 = 5*d. Solve 8 = 4*r - f*y, -d*r - 4*y + 6 = -y for r. 2 Let i(b) = b**3 + 7*b**2 - 17*b + 22. Let t be i(-9). Solve -5*u + 5*g + 31 + 9 = 0, t = 5*u + 4*g for u. 5 Let a = 3 + 21. Let l = a + -15. Solve 2*v - l + 24 = 5*j, -12 = -4*j + 3*v for j. 3 Suppose 2*v = 10, 4*s + v + 4 = 21. Solve 5*j = u + 10, -2*j + s*u = 2*j - 8 for j. 2 Let j(k) = k**2 - 8*k - 10. Let x be j(9). Let a = x + 8. Solve 4*h + 17 = 3*s, 4*s - 11 = -4*h + a*h for s. -1 Let q = 2 - 2. Let o(t) = 1 + q - t + 0*t. Let z be o(-4). Solve 4*v - z*c + 0*c = -35, 4*v = -5*c - 5 for v. -5 Let a(i) = -i - 4. Let q be a(-7). Solve 2*p = 4*d - 4, 2*d - p - 2 = -q*d for d. 0 Suppose n + 3*w = 37, -3*n + 2 + 69 = -w. Solve 0 = u + 5*b + n, 5*u + 5*b = 3*b - 33 for u. -5 Let g(v) = 5*v + 4. Let h(y) = 4*y + 5. Let a(d) = 3*g(d) - 4*h(d). Let l be a(-8). Solve 3*n - 2*o + 2 + 0 = l, -2*n + 7 = -3*o for n. -4 Let a(d) = d**2 - 16*d + 12. Let t be a(15). Let c be 3 + (9/t - -3). Solve -c*l = -3*x + 12, l + 9*x - 2 = 4*x for l. -3 Let k(b) = b**2 - b - 8. Let h be k(0). Let z(w) = -6*w**2 + 124*w - w**2 - 116*w + 3 - w**3. Let j be z(h). Solve 0 = c - m - j, -3*c + m + 6 + 1 = 0 for c. 2 Suppose -3*t - 10 = -2*n, -2*t + 3*n - n = 10. Solve t = 7*d - 4*d + 5*c - 10, -4*c = 3*d - 5 for d. -5 Let z be 51/21 + 9/(-21). Let t = z + 5. Solve -t = -4*n + u - 2*u, 4*n - 9 = u for n. 2 Let n be -3 + (-6)/12*-10. Solve 8 = z + 2*g, -20 = z - 3*g - n*g for z. 0 Suppose -4*p + 0 + 13 = -o, 4*p + 8 = 4*o. Suppose -o = -5*u + 3. Solve d = -2*m - 2 - 2, 0 = -3*m + u*d - 20 for m. -4 Let f be 6/(-10) - (-279)/15. Let q = 3 - 0. Solve q*o + f = 3*d - 0*o, 4*d + 4*o = 0 for d. 3 Let x(u) = u + 1. Let o be x(3). Suppose 3*y - 3*f = 15, 5*y - 15 - 8 = o*f. Solve 2*t - 3 = 3*h + 3, 2*h - y = -t for h. 0 Suppose 0 = 27*d - 30*d + 6. Solve -4*t = j - 14 - d, -5*t = -5*j - 45 for j. -4 Let h be -6*(-1 - 1/(-2)). Solve 4*o = 2*m + 6, h*o - 11 = -2*o - m for o. 2 Suppose -5*m + m + 36 = 0. Let w = m - 3. Solve 4*i + w = p, p - 2*i - 4 + 2 = 0 for p. -2 Let v be (-8)/(-28) - (-4)/(-14). Solve v = -2*o - 3*d + 13, d = 6*d - 25 for o. -1 Suppose 4*z + 9 = 2*c - 19, -c - 3*z - 11 = 0. Solve 0 = -f - 5*l + 2, 20 = -5*f + l + c*l for f. -3 Suppose 3*a = 4*h + 26, h - 2*h = 4*a - 3. Suppose -6 = -2*v, -2*r + 4*v - a = -0*v. Solve c + 1 = 3*w + 2, 0 = 2*w - r*c + 5 for w. 0 Let v be (-2)/(-1)*(-5)/(-2). Solve 5*x + 20 = -4*p, -25 = 2*p + 3*p + v*x for p. -5 Let f = -6 - -6. Let a be (3/12)/((-6)/(-72)). Solve 2*j + 2*r - 16 = f, a*j + 2*r = 2*j + 13 for j. 3 Let p = 44 + -42. Solve q - 3*s - 2*s - p = 0, 0 = 4*q - 4*s - 8 for q. 2 Suppose -3*n - n = -8. Let f = 29 - 45. Let i = -12 - f. Solve 0 = i*z + o - 1, -3*z + n*o = 3*o - 2 for z. -1 Let l be 3 + 3/(-6)*6. Let q be -3*1 + l + 12. Solve 0 = 5*v + 3*i - q, 0 = 3*v - i + 3*i - 5 for v. 3 Let d(p) = -p**3 + 5*p**2 + 6*p + 5. Let i be d(6). Solve 3*x + s - 3 = x, 40 = i*x - 4*s for x. 4 Let f(j) = 32*j**2 - j. Let g be f(1). Let h = 19 - g. Let y = 17 + h. Solve 7*p + 2 = -5*m + 3*p, y*p = -5*m - 5 for m. 2 Suppose -g - 3*g = -8. Suppose m = 5*m - 20, 4*q + 68 = 4*m. Let i(b) = b**2 + 9*b - 12. Let u be i(q). Solve g*c - 4*c + 2*
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
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100111010111010001 -3679c4 (base 14) to base 7 -21565434 -102213100 (base 4) to base 7 -435163 -1812369 (base 10) to base 6 -102502333 Convert -82771 (base 9) to base 13. -1bac3 What is -20c10 (base 14) in base 8? -232536 What is 1144a24 (base 11) in base 4? 13213232220 -201120002210212 (base 3) to base 13 -21cc3c2 Convert 103414663 (base 7) to base 6. 340353104 -3f601 (base 16) to base 15 -51daa What is -14b3d (base 16) in base 10? -84797 100000000011110110 (base 2) to base 9 220118 What is 4b86cb (base 16) in base 7? 60033430 Convert 1303022112 (base 4) to base 10. 471702 Convert -12063633 (base 8) to base 6. -132431031 1001001011100001100 (base 2) to base 12 1260b8 -4dc26 (base 15) to base 3 -110122201100 -a2324 (base 12) to base 15 -42901 What is -218521 (base 9) in base 4? -133331203 Convert -2a6391 (base 11) to base 9. -806236 Convert 11030101233 (base 4) to base 9. 2503850 Convert 103394 (base 10) to base 6. 2114402 -11011110110100010110 (base 2) to base 7 -10520552 What is -10388 (base 15) in base 2? -1100100011100100 What is -1b5124 (base 12) in base 10? -485740 Convert -bc1a93 (base 13) to base 5. -2113242322 What is 212100113133 (base 4) in base 8? 46202737 -134331 (base 14) to base 16 -a2467 What is 46137716 (base 8) in base 16? 98bfce What is -24194 (base 15) in base 13? -4051c 20c04 (base 14) to base 8 232524 What is 6ed5f6 (base 16) in base 7? 115512032 What is -1101466 (base 13) in base 12? -18a9a57 Convert 412405 (base 7) to base 11. 48a86 Convert -11000000011111101 (base 2) to base 7. -560224 Convert a65 (base 16) to base 12. 1659 Convert -133430 (base 9) to base 3. -11010111000 230460265 (base 7) to base 3 222111102212221 10051 (base 11) to base 15 454c 11011100100111 (base 2) to base 13 6571 What is 10202110110220 (base 3) in base 9? 3673426 Convert -300505 (base 7) to base 12. -253a7 -2a1724 (base 12) to base 9 -1287811 3c60 (base 15) to base 13 5b56 What is 81210 (base 9) in base 5? 3202023 What is 110101100001011010101010 (base 2) in base 3? 222101211020101 Convert -140240210 (base 5) to base 11. -44697a 273139 (base 10) to base 6 5504311 What is 882117 (base 12) in base 13? 5a8305 What is -2acb6c (base 14) in base 6? -52013124 3251500 (base 8) to base 16 d5340 What is -33123031 (base 5) in base 15? -59b2b -20034240 (base 6) to base 5 -121032340 Convert -115b0b (base 14) to base 2. -10010000100011111111 5023210 (base 8) to base 16 142688 -70371 (base 13) to base 15 -3e636 Convert 1000746 (base 11) to base 2. 110110000101110101010 -101111100110101000101 (base 2) to base 16 -17cd45 What is 266233 (base 7) in base 5? 3101300 What is 433492 (base 10) in base 11? 276764 What is 10120201112 (base 3) in base 10? 70511 What is -166027 (base 12) in base 7? -3155335 Convert -1002200200201102 (base 3) to base 7. -251061020 What is 240355414 (base 6) in base 12? 1615b6a Convert -201645 (base 7) to base 11. -23838 -333330200 (base 4) to base 6 -5340332 What is 10102112201102 (base 3) in base 7? 21324455 -100001011100000001011 (base 2) to base 12 -44a0b7 -1904a (base 11) to base 4 -12200302 -11010101111101101000 (base 2) to base 14 -18b556 Convert 847473 (base 9) to base 4. 1323011001 Convert -1323542 (base 8) to base 7. -3102156 What is -54ca16 (base 13) in base 6? -110501342 What is -52321344 (base 7) in base 12? -1587446 13019a (base 13) to base 4 1233220320 Convert 18829 (base 10) to base 9. 27741 What is 3301434 (base 6) in base 9? 268464 Convert -21131131103 (base 4) to base 12. -9b71ab -472773 (base 8) to base 15 -32bba Convert 110222 (base 8) to base 14. d6b8 What is 1514455050 (base 6) in base 16? 121a0a6 What is a9b34 (base 12) in base 16? 36d18 -616219 (base 10) to base 3 -1011022021221 2230311011 (base 4) to base 5 140123114 What is 101203320130 (base 4) in base 5? 2134302140 What is -235608 (base 9) in base 5? -14020140 Convert -84678 (base 13) to base 12. -b5b59 Convert 336260 (base 8) to base 4. 123302300 Convert -149397d (base 14) to base 15. -d33c73 What is -110110021012 (base 3) in base 7? -2040455 What is 80dad (base 15) in base 2? 1100011101000011000 What is -16d24 (base 15) in base 8? -220152 3202221 (base 5) to base 2 1101000010111100 What is 633514 (base 7) in base 16? 1ab12 What is 11000010011 (base 2) in base 5? 22210 505102125 (base 6) to base 12 2a87945 What is -1e89af (base 16) in base 14? -3a14bd 10340324 (base 5) to base 14 24b8d Convert -225681 (base 9) to base 14. -374d2 Convert -34524424 (base 6) to base 3. -2000022021221 What is 4cc75 (base 16) in base 4? 1030301311 212aa6 (base 11) to base 2 1010011001011111011 Convert 1000111011011100010100 (base 2) to base 13. 63c4b4 -10dbc70 (base 15) to base 11 -690744a Convert 1101116 (base 8) to base 12. 123012 Convert -343110102 (base 5) to base 14. -2bd5ab 110222020020 (base 3) to base 13 8c29b What is -101100010100011110101 (base 2) in base 9? -2653131 Convert -8206114 (base 10) to base 6. -451515134 Convert 22222301 (base 4) to base 11. 2a915 Convert -a08398 (base 12) to base 5. -1120041232 -152969 (base 13) to base 5 -113120400 8404a2 (base 16) to base 15 b5d80d What is 9984a2 (base 11) in base 13? 439abb -23bc35 (base 13) to base 12 -352610 -1011001101010100101 (base 2) to base 16 -59aa5 Convert -54121532 (base 6) to base 13. -43bc2c What is 3309991 (base 13) in base 10? 15615718 What is 4790 (base 14) in base 7? 51240 Convert -710b84 (base 13) to base 4. -22001333023 Convert -100010010100011101001100 (base 2) to base 8. -42243514 101100110001110 (base 2) to base 8 54616 -4dc2a7 (base 16) to base 4 -103130022213 What is -101111111000101110011 (base 2) in base 15? -20ede4 What is -185010 (base 14) in base 16? -d1b06 -422967 (base 10) to base 2 -1100111010000110111 What is 502350340 (base 6) in base 13? 19c4811 What is -60282 (base 9) in base 10? -39602 Convert -1202012110210 (base 3) to base 4. -3202311003 -3464602 (base 7) to base 2 -1101010100000011001 What is 3030230202 (base 4) in base 13? 23481c -1011101001010110010 (base 2) to base 13 -104913 What is 7b830 (base 15) in base 16? 60081 152151 (base 11) to base 8 717047 -41713a (base 12) to base 11 -642684 14086800 (base 9) to base 2 11010100100101111100011 Convert -3762242 (base 10) to base 3. -21002010211022 Convert 2626521 (base 10) to base 7. 31216332 Convert -288638 (base 9) to base 13. -626c9 -1010111010011100 (base 2) to base 11 -30647 Convert 50a88 (base 12) to base 10. 105224 100012210002 (base 3) to base 16 2c471 b707e7 (base 16) to base 2 101101110000011111100111 Convert 20202100100011 (base 3) to base 7. 42335614 What is 122343311 (base 5) in base 10? 590456 Convert 450236 (base 9) to base 3. 111200021020 Convert 374688 (base 12) to base 3. 1200200220212 122011021222 (base 3) to base 15 6a112 What is -163607 (base 11) in base 2? -111101111010110111 What is 21202100102021 (base 3) in base 8? 17560044 What is 10afd (base 16) in base 9? 113673 What is -127dd (base 14) in base 5? -2423341 What is -153b1 (base 14) in base 16? -ce8f Convert 249e9 (base 15) to base 2. 11100100100000010 Convert 1023023231 (base 4) to base 15. 6139e What is 10
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) -5 (b) s (c) -1 b Let g(s) = -13*s - 23. Let r be g(7). Suppose -8*v + 3 - 3 = 0. Which is the third smallest value? (a) -0.2 (b) v (c) 0.3 (d) r b Let r = -0.53 - -0.13. Let q = 58 + -62. Let l(t) = t**3 - 3*t**2 + 2*t - 2. Let i be l(3). What is the third biggest value in 0.8, i, q, r? r Let b(a) = 16*a + 6. Let f be b(7). Let u = -118 + f. What is the third biggest value in u, -0.4, 3/8, 3? u Let l = 4.7 - 0.7. Let z be (-11)/(-12)*(-8)/(-6) + (41 - 44). Which is the biggest value? (a) l (b) z (c) 1/3 a Let h = 3637 + -11518/3. Let u = 203 + h. Which is the fourth biggest value? (a) 5 (b) -7 (c) 4 (d) u b Suppose 0 = -6*z + 140 - 560. Let w be (-12)/21*z/180. What is the third biggest value in w, 2/5, 3, 5? 2/5 Let x = 516/373 - 13243/33570. Let n = x - 7/18. Which is the smallest value? (a) 3/7 (b) n (c) -3 c Let l = -83.3 + 75.3. What is the biggest value in -3, 2/3, l, 64? 64 Let d be 6*((-2)/20)/(24/16). What is the fourth biggest value in 0, 10.2, 1/8, d? d Let r = -15.757 + 15.7. Let l = 0.143 - r. Let d be (-1)/(-2) - 23/38. Which is the second biggest value? (a) -0.2 (b) l (c) d c Suppose 0*x = 2*x + 2, -3*q - 141 = -3*x. Let f = -1154 - -1098. Let g = q - f. What is the second biggest value in 4, g, 0.1? 4 Let d = 2.1 + -66.1. Let f = -34 - d. Let m = 28 - f. Which is the third biggest value? (a) m (b) -0.2 (c) 1 a Let m = 94 + -80. Let s = -873 - -872.8. What is the third smallest value in m, s, -1, 4? 4 Let m = -160.6662 + -0.1338. Let v = -158 - m. Let w = 6/5 + -7/10. Which is the third smallest value? (a) w (b) v (c) 0 b Let q = -0.27 - -0.3. Let p = q + -0.33. Let w = 0.10845 + -0.20845. Which is the second smallest value? (a) -8 (b) w (c) -2/9 (d) p d Let s = -11341 - -11336. Which is the biggest value? (a) -10/179 (b) 5 (c) s b Let h = -44.52865 + -0.01135. Let u = h - -0.54. Let b be (-2)/6*1/1. What is the third smallest value in b, 0.3, u? 0.3 Let w = 5100 + -5091.1. What is the third biggest value in -3, w, -0.08? -3 Let h = -1828 + 1828. Which is the third smallest value? (a) 2 (b) -2.56 (c) h (d) 0.2 d Suppose 0 = -4*u - 7 - 1. Let f = -539.57 + 537. Let o = f - -3.57. Which is the biggest value? (a) 2 (b) u (c) -0.5 (d) o a Let t = 0.0582 - -2.7318. Let h = t - -0.21. Which is the third biggest value? (a) -2 (b) h (c) 1.1 a Let m = -1677 - -1666. Which is the fourth biggest value? (a) 4 (b) -2/3 (c) -1 (d) m d Let i = 9790 + -9790.2. Which is the third biggest value? (a) 1/2 (b) -0.09 (c) i (d) 4 (e) 5 a Let n = 11/4 + -17/4. Let w = -511 + 897. Let x = w + -383. Which is the second smallest value? (a) x (b) 4 (c) n (d) 2/7 d Let z = -11248 + 11246. Which is the fourth biggest value? (a) -0.3 (b) 0.2 (c) -13.3 (d) z (e) -4 e Let u = 0.03 - 2.03. Let s = u + 3. Let x = -153.03 + 148.03. Which is the fourth smallest value? (a) 0.1 (b) x (c) s (d) 3/8 c Let x = 0.3 - -0.2. Let k be (8/26)/(-13 - (-5 - 1168/104)). Which is the third smallest value? (a) 0.3 (b) x (c) k b Let m = -5773 + 5772.7. Which is the second smallest value? (a) 1988 (b) m (c) -2/21 c Let g = 30.6 + -53.6. Let p = 28 + g. Which is the fourth smallest value? (a) 0.3 (b) -3 (c) -4 (d) p d Let r(y) = y - 3. Let m be r(8). Let a(t) = -91*t + 3225. Let q be a(35). What is the second biggest value in 3, m, q? m Let x = -1947 - -1944. Let u = -1.8 - -2.2. What is the third biggest value in u, x, -0.013? x Let o = 39 + -39.5. Let v = -629 - -629. Which is the smallest value? (a) -1/10 (b) o (c) -2/7 (d) v b Let j = 0.05755 + 0.01245. Which is the third smallest value? (a) -45 (b) -4 (c) j c Let h be ((-22)/6 + -1)/((-8)/(-72)). Let s be (1 - -1 - 5)/(1/(-4)). Let x be (2/(-4))/(s/(-120)). What is the third smallest value in h, -1, -6/7, x? -6/7 Let v = -713 + 4922. Let o = v - 4212.898. Let k = -0.102 + o. Which is the third biggest value? (a) 3 (b) 2 (c) 0.03 (d) k c Let r = 790/9 + -88. Let g = -0.5 - 0. Let l = -28918 + 28917.8. Which is the fourth smallest value? (a) g (b) r (c) l (d) 5 d Let w(h) = -3*h**3 - 25*h**2 - 7*h + 10. Let y be w(-8). Which is the biggest value? (a) -5 (b) y (c) 9/2 (d) -4 (e) -0.4 c Let l = 3408.01 + -3488. Let v = l + 80. What is the smallest value in v, -0.4, -4? -4 Let g be 261/(-203) - 3300/(-35). Which is the second smallest value? (a) -2 (b) -4 (c) g (d) 3 a Let v = 331 + -360.6. Let s = v + 3.6. Let r = 0.1 - -0.4. Which is the smallest value? (a) s (b) -1 (c) r a Let o = -0.066 + -6.034. Let i = -5.7 - o. What is the smallest value in -4, -34, i, 1? -34 Let y = 3672 - 3667. Which is the second biggest value? (a) 3/5 (b) y (c) 3/4 c Let b(i) = -23*i - 112. Let n be b(-5). Let o be ((-2)/n)/((-4)/((-48)/212)). What is the third smallest value in o, -2, 0.3? 0.3 Let v = -1383.5 + 1383.74. Which is the second smallest value? (a) v (b) -2 (c) 4 (d) 0.04 d Let g = 3302.9 - 3303. Let s be (36/1215)/(2/(-5)). What is the second smallest value in s, 0.4, g? s Let o = -0.104 + -10.196. Let y = o + 5.3. What is the second biggest value in -0.4, 32, y? -0.4 Let u(p) = p**3 - 103*p**2 - 12*p + 1244. Let z be u(103). Which is the smallest value? (a) 5 (b) -2/3 (c) -1/4 (d) z (e) -4/9 b Let w = -57.4 + 60.93. Let g = 3.63 - w. What is the third smallest value in 46, 3, g, 3/7? 3 Let t = 63/79 - 1225/2923. What is the biggest value in -5, t, 1/6? t Let x = -9 + 5. Let g = 1961 + -1971.17. Let s = -29.17 - g. Which is the second biggest value? (a) s (b) x (c) 2/9 b Let d = -3028 + 3026. Let v = -118/15 + 41/5. What is the biggest value in d, v, 0.003, -3? v Let v = 50 - 50.2. Let k = -0.0715 + 13.0715. What is the third smallest value in k, v, -3/2? k Suppose 3*r - 44 = -23. Let b = -1.43 + 1.13. What is the fourth biggest value in 2, b, r, 5? b Suppose -3*m - 9 + 6 = 0. Suppose 11*a + 0 + 88 = 0. What is the second smallest value in a, m, -3/7? m Let n = 56 - 174. Let q = 115 + n. Let u = 3 - -4. What is the second smallest value in q, u, -1/6? -1/6 Let n = 20.69 + 0.31. Let k = n - 17. Let t(g) = -g**2 - 9*g - 13. Let z be t(-8). Which is the second biggest value? (a) k (b) z (c) 0 c Suppose 269 = -6*a + 299. Let k = 0.044 - 0.644. What is the third biggest value in -1, a, k? -1 Let x = -334.9 + 335. What is the third smallest value in x, 3, 301? 301 Let k = -0.0069 + -0.5931. Which is the third biggest value? (a) k (b) 5/2 (c) -3/7 a Let w(g) = g**3 + 24*g**2 + g + 20. Let z be w(-24). Let f be z + ((-3240)/138)/(-6). Which is the third biggest value? (a) 1 (b) 0.1 (c) f (d) 0.2 b Let v = 0.086 - 0.002. Let u = v + 2.916. Suppose -7*c + 13*c - 48 = 0. What is the third smallest value in c, -3, u? c Let p = -0.17303 + -0.12697. Which is the third biggest value? (a) 2/9 (b) -5 (c) 0.02 (d) -2/7 (e) p d Let z be 6480/(-640)*(-170)/15. What is the biggest value in -7, 5, z? z Let f = -0.045 + -1.025. Let d = 1 + f. Let i = -26/329 - 424/2961. Which is the third biggest value? (a) d (b) i (c) 0.2 b Suppose -4211 = -1210*p + 629. Let o = -5545/23 + 241. Which is the biggest value? (a) o (b) -83 (c) p c Suppose -4*u + 3*u - 5 = 0. Let c be (-3)/2*(-2)/u. Let d = 178477 - 178480. What is the third smallest value in c, -0.8, d? c Let b = -25711.4 - -25711. What is the smallest value in -3, 29/2, 2/3, 2, b? -3 Let j = -105 + 106.3. Let z = -5.3 + j. What is the third biggest value in z, 2, -5, -0.1? z Let r = 3.2 - 3. Let d = -2.23 + -0.25. Let l = d + 2.18. What is the third smallest value in -0.5, l, -0.4, r? l Let h be ((-24)/140)/(2/20). Let k = 32697 + -32674. Which is the smallest value? (a) 2/7 (b) k (c) h c Let d be (-35)/11 - -2 - (98 + -99). Let l = 2.5 - -0.5. Which is the third smallest value? (a) -18 (b) d (c) l c Let n be 3/3 + -2*1. Let s = -433.9 - -433.5. Which is the third smallest value? (a) n (b) s (c) 9/2 c Let j = 730.6 + -131.6. Let p = -597 + j. What is the smallest value in -3/4, p, -56? -56 Let a(v) = -5*v**2 + 11*v. Suppose -4*u + 108 = 100. Let y be a(u). What is the smallest value in 7, y, -0.1, -1? -1 Suppose 51 = -3*j + 39. Let w be (j/(-182))/(4/28). Which is the third smallest value? (a) 2 (b) w (c) -1/6 (d) -1/4 b Let l = 20/347 - -28
{ "pile_set_name": "DM Mathematics" }
*o, 0 = -4*k + 4. Let x(p) = -p**2 - 7*p - 3. Let g be x(-6). What is the remainder when g/((-1)/14*-2) is divided by o? 5 Let t = 4 - 2. Let l = -1 - t. Calculate the remainder when 55/4 + l/(-12) is divided by 5. 4 Suppose 0 = -0*g - g + 63. What is the remainder when g is divided by 22? 19 Let a = -86 - -102. Calculate the remainder when 62 is divided by a. 14 Let s be 2 + -1 - (-65 + 1). Let c = 119 - s. Calculate the remainder when c is divided by 8. 6 Let q = 23 + 26. Calculate the remainder when 192 is divided by q. 45 Suppose 2*s = -4*l + 34, -3*l = 3*s - 2*s - 18. Suppose 2*h = 5*w - 44, 4*h + 16 = -w + 2*w. Calculate the remainder when s is divided by w. 7 Suppose -9*a + 9 = -27. What is the remainder when 18 is divided by a? 2 Let s = 3 + -4. Let x = 15 + s. What is the remainder when x is divided by ((-18)/4 + 2)*-2? 4 Let o = -23 - -12. Let g(q) = q + 16. What is the remainder when (0 - -1)*(1 + 12) is divided by g(o)? 3 Suppose -3*x - 2*r + 156 = 58, -r = -4*x + 116. What is the remainder when x is divided by 8? 6 Suppose 0 = h - 2*m + 35, -4*h - 4*m = -63 + 191. Let o = h + 17. Let k = -11 - o. Calculate the remainder when k is divided by 2. 1 Let w = -57 - -214. Suppose -3*y + w = p, 5*y - 4*p - 69 - 204 = 0. Let v = -35 + 49. What is the remainder when y is divided by v? 11 Let x(t) = -t**3 - 9*t**2 - 12*t - 9. Let i(d) = d**2 + 12. Let r(w) = -w - 7. Let c be r(-7). Calculate the remainder when x(-8) is divided by i(c). 11 Suppose b - 5 = -3. Suppose 10*x + 5*m - 115 = 5*x, -2*x + 5*m + 46 = 0. Calculate the remainder when x is divided by ((-9)/b)/(3/(-4)). 5 Suppose 24*c - 32*c + 64 = 0. Calculate the remainder when 36 is divided by c. 4 Suppose -6*x - 60 = -3*x. Let m be ((-24)/x)/(3/10). Suppose 32 = 2*r + m. What is the remainder when 41 is divided by r? 13 Suppose -3*m = -2*y + 2*m + 1, -5*m - 7 = -4*y. Suppose -z = -22 + y. What is the remainder when z is divided by 5? 4 Let a be (-6 - 6)*1/2. What is the remainder when 41 is divided by -3*(-2 - (-16)/a)? 13 Suppose 5*v - 51 - 69 = 0. What is the remainder when v is divided by ((-9)/(-1))/((-3)/(-3))? 6 Suppose -13 = -3*r + 17. Suppose 0 = -5*j - 3*b + 82, j + 2*b - r = 3*b. What is the remainder when 41 is divided by j? 13 Suppose 6*k + 0*k = 114. What is the remainder when 65 is divided by k? 8 Let d = 162 + -54. What is the remainder when d is divided by 37? 34 Suppose 2*d + 10 = 5*q - 12, 3*q = -3*d + 9. Let g be (-2)/2 - (-2)/(-1). Let w = q - g. What is the remainder when 19 is divided by w? 5 Let u(g) = -g**3 - 19*g**2 + 39*g - 26. Calculate the remainder when 110 is divided by u(-21). 36 Suppose -8*i - 75 = -11*i. What is the remainder when 97 is divided by i? 22 Suppose -2*z - 3*d + 25 = -8, 0 = -2*z - d + 35. What is the remainder when 107 is divided by z? 17 Let a be (6/(-9) - 0)*-6. Suppose -4*f + 30 = 5*y, -a*y = f - 21 - 3. Suppose 0 = -3*c + 4 + 44. Calculate the remainder when c is divided by y. 4 Suppose 0*o = o - 12. Let k(l) = -18*l - 2. Suppose -5*w + 2*d - 2 = -0*w, -2*d - 6 = -w. What is the remainder when k(w) is divided by o? 10 Let n(m) = -65*m + 8. Calculate the remainder when n(-1) is divided by 15. 13 Suppose 0 = 5*m + 181 - 436. What is the remainder when m is divided by 22? 7 Let x be (-23)/1 - (1 - 1). Suppose 2*l - 6 = 2. What is the remainder when x/(-4) + (-2)/(-8) is divided by l? 2 Suppose 0 = u + 4*u - 15. Suppose -2 = u*n - 14. Let d = 8 - 5. Calculate the remainder when n is divided by d. 1 Suppose -s + 5*s = 12. Suppose -10 = 5*d, -s*y + 5*d = -y - 46. Calculate the remainder when y is divided by 10. 8 Calculate the remainder when 51 is divided by (-736)/(-64) + 6/4. 12 Let a(w) = -19*w - 4. What is the remainder when 52 is divided by a(-1)? 7 Suppose 4*p + p - 60 = 0. Calculate the remainder when 47 is divided by p. 11 Suppose -4*b + 17 = -z - 2, -4*z - 11 = -3*b. What is the remainder when 19 is divided by b? 4 Let z(b) = -2*b**2 - 4*b - 4. Let h be z(-4). What is the remainder when 5 is divided by 4/h - (-22)/10? 1 Suppose 2*z + r + 0*r = 31, -81 = -5*z + r. Calculate the remainder when 58 is divided by z. 10 Suppose 858 = -78*n + 84*n. Calculate the remainder when n is divided by 29. 27 Let r = -63 - -77. Calculate the remainder when 41 is divided by r. 13 Let z be -3*(-3)/18*38. Let g = 5 - 3. Let b = z - g. Calculate the remainder when 32 is divided by b. 15 Calculate the remainder when (-27)/12*-10*(-8)/(-10) is divided by 10. 8 Suppose -4*u - 5*p = -201, -5*p - 34 = 5*u - 284. Let z(v) = -4*v + 1. What is the remainder when u is divided by z(-3)? 10 Let y(g) = -g**2 - 7*g - 8. Suppose 5*u - 3 = -3*x, 0 = -2*x - 5*u - 3. What is the remainder when x is divided by y(-3)? 2 Suppose 3*i - 3*k - 24 = 0, 5*i + 4*k - 32 - 8 = 0. Let h(g) = 0 - 3 - 3 + 1 - g**2 + 11*g. Calculate the remainder when h(7) is divided by i. 7 Let i be 1/(-2) + (-1)/(-2). Suppose j - 4*l + 7 = i, 0 = l - 0*l - 3. Suppose 2*q - 5 + 1 = 0. Calculate the remainder when j is divided by q. 1 Suppose -4*c + 30 = c. Calculate the remainder when 22 is divided by c. 4 Let w(r) = -r**3 + 6*r**2 + 9*r. Calculate the remainder when w(7) is divided by 4. 2 Let i = -5 - -14. What is the remainder when 17 is divided by i? 8 Let o = -2 - -14. What is the remainder when 23 is divided by o? 11 Let f(c) = 2*c**2 - 3. What is the remainder when f(-9) is divided by 32? 31 Suppose 0*v + 2*v = -10, -19 = -3*x + 5*v. Let c = 4 + x. Calculate the remainder when c is divided by 2/(-1)*1 + 4. 0 Suppose -2*l = -33 - 97. Let r(h) = 2 + 7*h + 5*h - 7*h. What is the remainder when l is divided by r(4)? 21 Suppose -4*j = 2*d - 80, 3*d - 5*j = 46 + 41. Suppose -2*r + 24 = -0*r. Calculate the remainder when d is divided by r. 10 Suppose -3*m = -60 + 21. What is the remainder when m is divided by 4? 1 Let g = -11 - -44. What is the remainder when g is divided by 14? 5 Let h(v) = -21*v**2 + 9*v - 29. Let i(m) = 5*m**2 - 2*m + 7. Let t(a) = 2*h(a) + 9*i(a). What is the remainder when t(-4) is divided by 14? 11 Let c be (-18)/24*(-28 + 0). Let r = c - 14. Let a(d) = d**3 + 11*d**2 + 7*d - 4. What is the remainder when a(-10) is divided by r? 5 Suppose -6 = 3*v, 40 = -2*p + 6*p + 4*v. Calculate the remainder when 23 is divided by (1 - 2/2) + p. 11 Suppose 5*n = 2*k + 2*k - 213, -4*k + 3*n = -203. What is the remainder when k is divided by 16? 15 Let x = -38 + 79. Calculate the remainder when x is divided by 17. 7 Let u(i) = -4*i - 9. Calculate the remainder when 119 is divided by u(-6). 14 Let j(s) = -3*s - 6. Suppose 0 = 2*g + 3*g - 175. Calculate the remainder when g is divided by j(-6). 11 Suppose -4*t + 34 = -2*d, 2*t = -3*d - 2 + 7. Let i(o) = 6*o - 41. Calculate the remainder when i(10) is divided by t. 5 Suppose 2*x + 2*o - 128 = 0, 3*x + 134 = 5*x - 4*o. Calculate the remainder when x is divided by 17. 14 Let i be (-4)/10 + (-42)/(-5). Suppose 10 = -11*l + 13*l. Suppose 0 = -i*f + l*f + 30. What is the remainder when 19 is divided by f? 9 Let l(q) = q + 9. Let h be l(0). Suppose -3*j = -j - 104. What is the remainder when j is divided by (-2)/h*-3*27? 16 Let v = 13 - -3. Let f(n) = -5*n**3 - 2*n**2 - n. Let x be f(-1). What is the remainder when v is divided by -6*1/x*-6? 7 Suppose -5*z + 0*z + 640 = 0. Calculate the remainder when z is divided by 19. 14 Suppose 0 = x - 4*d - 3, 7*x - 12 = 3*x - d. Suppose x*s + 110 = 8*s. Suppose 13*u + 36 = 19*u. What is the remainder when s is divided by u? 4 Suppose 6*v - 2*v = 0, 2*s - 2*v - 6 = 0. Let m = s + -10. Let n = 1 - m. What is the remainder when 21 is divided by n? 5 Let t = -68 + 135. What is the remainder when t is divided by 23? 21 Let g(y) = 8*y**2. What is the remainder when g(2) is divided by 10? 2 Suppose -2*z + 1 = 3. Let a(i) = 2*i. Let d be a(z). Let l = d + 5. Calculate the remainder when 6 is divided by l. 0 Let u be (0 + -1 + 1)*1. Suppose -7*l + 3*l + 68 = u. What is the remainder when 33 is divided by l? 16 Calculate the remainder when 50 is divided by ((-130)/(-30))/(1/3). 11 Suppose 53 = 4*j - 6*c + 3*c, -57 = -4*j - c. What is the remainder when 265 is divided by j? 13 Suppose 18 = -3*z - 0*z. Let a = -4 - z. Suppose g - 4*w = -1, 7*w = a*w + 20. What is the remainder when 43 is divided by g? 13 Let m(o) = -o**3
{ "pile_set_name": "DM Mathematics" }
the power of 1/2, to the nearest integer? 13530 What is 240662400 to the power of 1/8, to the nearest integer? 11 What is the third root of 76931630 to the nearest integer? 425 What is the square root of 3601950551 to the nearest integer? 60016 What is 860892136 to the power of 1/5, to the nearest integer? 61 What is the square root of 146058736 to the nearest integer? 12085 What is 519088813 to the power of 1/4, to the nearest integer? 151 What is the seventh root of 357257764 to the nearest integer? 17 What is the cube root of 359840905 to the nearest integer? 711 What is 1259085112 to the power of 1/7, to the nearest integer? 20 What is 59683784 to the power of 1/2, to the nearest integer? 7726 What is the square root of 194125627 to the nearest integer? 13933 What is the square root of 287188373 to the nearest integer? 16947 What is the fourth root of 6011969103 to the nearest integer? 278 What is the eighth root of 221352838 to the nearest integer? 11 What is 21171976 to the power of 1/3, to the nearest integer? 277 What is 207115921 to the power of 1/7, to the nearest integer? 15 What is the third root of 686287432 to the nearest integer? 882 What is the third root of 139606117 to the nearest integer? 519 What is the square root of 569357165 to the nearest integer? 23861 What is 856605762 to the power of 1/3, to the nearest integer? 950 What is 824267373 to the power of 1/3, to the nearest integer? 938 What is 48556558 to the power of 1/2, to the nearest integer? 6968 What is the tenth root of 3333153301 to the nearest integer? 9 What is the third root of 2849214688 to the nearest integer? 1418 What is 66636177 to the power of 1/7, to the nearest integer? 13 What is 15654026 to the power of 1/3, to the nearest integer? 250 What is 14847482 to the power of 1/8, to the nearest integer? 8 What is the sixth root of 317878394 to the nearest integer? 26 What is the seventh root of 52070866 to the nearest integer? 13 What is the square root of 54145624 to the nearest integer? 7358 What is 769509121 to the power of 1/3, to the nearest integer? 916 What is the cube root of 75397634 to the nearest integer? 422 What is 439136234 to the power of 1/10, to the nearest integer? 7 What is 203590573 to the power of 1/2, to the nearest integer? 14269 What is the eighth root of 26720688 to the nearest integer? 8 What is the square root of 1244629509 to the nearest integer? 35279 What is 129693510 to the power of 1/8, to the nearest integer? 10 What is 11920008 to the power of 1/7, to the nearest integer? 10 What is 50155411 to the power of 1/9, to the nearest integer? 7 What is 35061346 to the power of 1/2, to the nearest integer? 5921 What is 108231676 to the power of 1/3, to the nearest integer? 477 What is 85896128 to the power of 1/3, to the nearest integer? 441 What is 2935754133 to the power of 1/7, to the nearest integer? 23 What is the tenth root of 262834129 to the nearest integer? 7 What is the fifth root of 1416313181 to the nearest integer? 68 What is the third root of 49641623 to the nearest integer? 368 What is the square root of 251364749 to the nearest integer? 15854 What is the seventh root of 24227917 to the nearest integer? 11 What is 95405590 to the power of 1/7, to the nearest integer? 14 What is 888690384 to the power of 1/2, to the nearest integer? 29811 What is the third root of 1481339858 to the nearest integer? 1140 What is 1774867847 to the power of 1/2, to the nearest integer? 42129 What is 1746942967 to the power of 1/2, to the nearest integer? 41796 What is 866419543 to the power of 1/4, to the nearest integer? 172 What is 1741774616 to the power of 1/8, to the nearest integer? 14 What is the eighth root of 219036954 to the nearest integer? 11 What is the square root of 69074889 to the nearest integer? 8311 What is 2109374189 to the power of 1/2, to the nearest integer? 45928 What is the ninth root of 2141971335 to the nearest integer? 11 What is the square root of 422701809 to the nearest integer? 20560 What is the fifth root of 3530524113 to the nearest integer? 81 What is the third root of 48215555 to the nearest integer? 364 What is the square root of 29267094 to the nearest integer? 5410 What is the fourth root of 1764664097 to the nearest integer? 205 What is the sixth root of 610037815 to the nearest integer? 29 What is 336769494 to the power of 1/4, to the nearest integer? 135 What is the seventh root of 40092755 to the nearest integer? 12 What is 209044639 to the power of 1/2, to the nearest integer? 14458 What is 37480110 to the power of 1/3, to the nearest integer? 335 What is 65423441 to the power of 1/6, to the nearest integer? 20 What is the ninth root of 73423724 to the nearest integer? 7 What is 535473612 to the power of 1/6, to the nearest integer? 28 What is 1252646560 to the power of 1/2, to the nearest integer? 35393 What is 112523050 to the power of 1/2, to the nearest integer? 10608 What is the fifth root of 6287947 to the nearest integer? 23 What is the cube root of 334591600 to the nearest integer? 694 What is the cube root of 143025956 to the nearest integer? 523 What is the cube root of 33994069 to the nearest integer? 324 What is 21804244 to the power of 1/2, to the nearest integer? 4670 What is 1488883114 to the power of 1/8, to the nearest integer? 14 What is 167638934 to the power of 1/7, to the nearest integer? 15 What is the eighth root of 1135084880 to the nearest integer? 14 What is 2044066067 to the power of 1/3, to the nearest integer? 1269 What is the third root of 4092292543 to the nearest integer? 1600 What is 5387645066 to the power of 1/7, to the nearest integer? 25 What is the seventh root of 1835381222 to the nearest integer? 21 What is the eighth root of 1219896448 to the nearest integer? 14 What is the square root of 74805821 to the nearest integer? 8649 What is the square root of 2808644039 to the nearest integer? 52997 What is 81654676 to the power of 1/3, to the nearest integer? 434 What is the square root of 1710947818 to the nearest integer? 41364 What is the square root of 266246815 to the nearest integer? 16317 What is 9736494 to the power of 1/4, to the nearest integer? 56 What is 3488056675 to the power of 1/9, to the nearest integer? 11 What is 3232111 to the power of 1/7, to the nearest integer? 9 What is the square root of 127051292 to the nearest integer? 11272 What is 1587096802 to the power of 1/3, to the nearest integer? 1166 What is the third root of 13903598 to the nearest integer? 240 What is 710114751 to the power of 1/2, to the nearest integer? 26648 What is the third root of 1309245 to the nearest integer? 109 What is the third root of 4687954766 to the nearest integer? 1674 What is the fourth root of 1323054878 to the nearest integer? 191 What is the sixth root of 1368971323 to the nearest integer? 33 What is the square root of 713168802 to the nearest integer? 26705 What is the sixth root of 810696434 to the nearest integer? 31 What is 2459308620 to the power of 1/2, to the nearest integer? 49591 What is 88569281 to the power of 1/3, to the nearest integer? 446 What is 4888826 to the power of 1/2, to the nearest integer? 2211 What is the ninth root of 221739568 to the nearest integer? 8 What is the seventh root of 798733351 to the nearest integer? 19 What is 115909647 to the power of 1/3, to the nearest integer? 488 What is the eighth root of 514986331 to the nearest integer? 12 What is the seventh root of 485370861 to the nearest integer? 17 What is the tenth root of 31680809 to the nearest integer? 6 What is the cube root of 2010709336 to the nearest integer? 1262 What is the fourth root of 64991362 to the nearest integer? 90 What is the tenth root of 55881394 to the nearest integer? 6 What is 164908676 to the power of 1/2, to the nearest integer? 12842 What is 367559148 to the power of 1/2, to the nearest integer? 19172 What is the third root of 260765979 to the nearest integer? 639 What is the cube root of 108687353 to the nearest integer? 477 What is the third root of 1019873138 to the nearest integer? 1007 What is 92649426 to the power of 1/3, to the nearest integer? 452 What is 1202061397 to the power of 1/3, to the nearest integer? 1063 What is t
{ "pile_set_name": "DM Mathematics" }
5 -3949 divided by 1463 -359/133 542 divided by 18712 271/9356 -8968020 divided by -1644 5455 -171 divided by 170205 -57/56735 Calculate -620900226 divided by -2. 310450113 Divide 0 by -88524878. 0 Calculate 280205 divided by 1. 280205 What is -17115182 divided by -1? 17115182 Calculate 96383275 divided by -5. -19276655 Divide 5 by 2231130. 1/446226 Calculate -5855570 divided by 7274. -805 Divide -465174880 by -985540. 472 What is 1765 divided by -22988? -1765/22988 Divide 245627608 by -6179. -39752 What is -1193445 divided by 397815? -3 What is 1954090 divided by -6? -977045/3 Calculate -416243 divided by 231. -416243/231 What is 26163600 divided by -1090150? -24 -80755 divided by -1060 16151/212 -655 divided by -17830 131/3566 Calculate -3 divided by -5965012. 3/5965012 Divide 522616256 by 6. 261308128/3 Calculate 172755287 divided by -5. -172755287/5 What is -14793924 divided by 3698481? -4 -2 divided by -94062741 2/94062741 What is -17882300 divided by 21038? -850 2663181 divided by 887727 3 -12451432 divided by -444694 28 1776925 divided by -9605 -185 What is -43668696 divided by -1? 43668696 3291 divided by -698 -3291/698 Divide 1062360 by 132795. 8 -22572293 divided by -5 22572293/5 Calculate 58613356 divided by 14653339. 4 What is 457 divided by -38384? -457/38384 Divide 38401309 by 53. 724553 Calculate -3 divided by 119576475. -1/39858825 1726154 divided by -1726154 -1 1643 divided by 553896 1643/553896 Calculate -28882548 divided by 108. -267431 What is -108377 divided by 244? -108377/244 Calculate -9 divided by -739440. 1/82160 Divide 113862182 by -113862182. -1 -592121048 divided by -6 296060524/3 Divide 37910915 by -3. -37910915/3 4256532 divided by -126 -33782 Divide -97183094 by -48591547. 2 What is -1171366983 divided by -3? 390455661 19346940 divided by -114 -169710 Calculate -256155484 divided by -3722. 68822 23438772 divided by 7868 2979 Calculate 325175 divided by -30. -65035/6 Calculate 578340 divided by -3213. -180 Calculate -426003984 divided by 6. -71000664 Calculate -39392350 divided by 15298. -2575 Calculate 142471535 divided by 5. 28494307 -108624152 divided by 11921 -9112 Calculate 28294721 divided by 91. 310931 Calculate -43002010 divided by -97070. 443 Divide 2330025 by -9915. -235 Calculate 20578 divided by -3. -20578/3 5741 divided by 4742 5741/4742 Calculate -51120152 divided by 2. -25560076 Calculate -92715036 divided by 92715036. -1 Calculate 7805780 divided by -10. -780578 Calculate 174714 divided by -200. -87357/100 Calculate -275232 divided by 6. -45872 What is 1503299 divided by -623? -2413 Divide -2 by 10209858. -1/5104929 Calculate 28861956 divided by 5. 28861956/5 Divide 11458655 by 2291731. 5 -870752574 divided by -6 145125429 Divide -38836370 by -1. 38836370 What is -6239 divided by -1444? 6239/1444 What is -16972738 divided by 2854? -5947 Calculate -483370760 divided by 5. -96674152 Calculate 471162732 divided by 6. 78527122 Divide 77172 by 14. 38586/7 What is -68755 divided by 109? -68755/109 -44882228 divided by 268 -167471 What is -208194190 divided by -97015? 2146 Calculate 57572988 divided by -6. -9595498 What is -215 divided by 14751? -215/14751 What is -68242876 divided by 676? -100951 Calculate 12332104 divided by -3083026. -4 What is -2443580 divided by 7187? -340 Divide -63690 by -2347. 63690/2347 Divide 3834374 by 104. 1917187/52 What is 2679950 divided by 4550? 589 Calculate 92424237 divided by 2981427. 31 What is -13829 divided by 6369? -13829/6369 What is -42943200 divided by 5? -8588640 Calculate 8716266 divided by 26. 335241 6013162 divided by 1 6013162 -105212564 divided by 1441268 -73 Calculate -332 divided by 12514. -166/6257 Divide 9460568 by 26. 363868 18579508 divided by -107396 -173 Divide -206919 by 1970. -206919/1970 69717545 divided by -815 -85543 Divide 44190654 by 222. 199057 Divide -655320972 by 54610081. -12 Divide -1557566680 by -6383470. 244 148592 divided by 251 592 What is 3875786 divided by 1937893? 2 What is -2050693 divided by 3? -2050693/3 Divide 1421258 by -156. -710629/78 Calculate -4555423 divided by -1. 4555423 What is -1078155 divided by 4365? -247 Calculate 144 divided by 51866. 72/25933 What is 33342 divided by -674? -16671/337 What is 1518505 divided by -1? -1518505 Divide 108453226 by 15493318. 7 Divide 0 by -9088966. 0 Divide 128618370 by -18. -7145465 Calculate 26 divided by -50520. -13/25260 -131916 divided by 134 -65958/67 -34398 divided by -546 63 -3453 divided by 94844 -3453/94844 Calculate 402114464 divided by -707948. -568 Divide 1726092597 by 3. 575364199 What is -11970 divided by 1351? -1710/193 -12983 divided by -18240 12983/18240 -1291488 divided by 132 -9784 -9 divided by 80199 -1/8911 Divide -63867336 by 21606. -2956 What is 82149566 divided by 5? 82149566/5 Divide 419790 by -209895. -2 Divide -9817489 by 913. -10753 What is -31044813 divided by -3? 10348271 Calculate 855437946 divided by -142572991. -6 -22736132 divided by -22736132 1 -603 divided by 140090 -603/140090 36758736 divided by 6 6126456 What is 552 divided by -37056? -23/1544 -1595100 divided by 159510 -10 2044 divided by 148896 511/37224 452 divided by -10098 -226/5049 Divide -831576672 by 98856. -8412 What is 5331958 divided by -1? -5331958 Calculate -9904416 divided by 4. -2476104 Calculate 1816136456 divided by -4. -454034114 What is 412772976 divided by 19655856? 21 Divide 19587330 by 3917466. 5 What is -44 divided by -537290? 22/268645 2133330 divided by 5 426666 What is 3 divided by -789566? -3/789566 -1062767 divided by 11 -1062767/11 -3064164 divided by -1 3064164 Divide 68379684 by 73. 936708 Divide -135121 by -990. 135121/990 -2409 divided by -45826 219/4166 Divide -2247444 by 124858. -18 -2072257134 divided by 6 -345376189 Calculate -5563300 divided by 25. -222532 12160200 divided by 9354 1300 Divide -1592289 by -9. 176921 84949452 divided by -16902 -5026 Calculate -152162528 divided by -76081264. 2 Divide -2308906 by 20. -1154453/10 Calculate -1298910 divided by 58. -22395 Calculate 1385 divided by -1106. -1385/1106 Calculate 4998855 divided by -5. -999771 Calculate -275895 divided by 11. -275895/11 Divide 95208776 by -34546. -2756 What is 5 divided by -39446354? -5/39446354 -88988184 divided by -29662728 3 Calculate 201737916 divided by 16811493. 12 -2148384 divided by -9591 224 What is 47136741 divided by 1? 47136741 Divide 9264528 by -7272. -1274 Calculate -14296900 divided by 2. -7148450 26211987 divided by -37 -26211987/37 4068383 divided by -33623 -121 Calculate 11671094 divided by 79939. 146 What is 1836979 divided by -14? -1836979/14 What is -57507186 divided by 3? -19169062 What is 3 divided by 12646012? 3/12646012 Divide -9432050 by 109675. -86 -19313 divided by -357 2759/51 Calculate -149768306 divided by 254. -589639 What is 396479 divided by -236? -396479/236 1885396 divided by 556 3391 Calculate -751466378 divided by 1423. -528086 -12200 divided by -5 2440 Calculate 185 divided by -30704. -185/30704 Divide 392530 by -78506. -5 Calculate -6 divided by 4051404. -1/675234 Calculate -70671360 divided by 321. -220160 Calculate -89652480 divided by 933880. -96 What is -14 divided by 23783657? -14/23783657 Divide 272472609 by -6. -90824203/2 49 divided by -24451 -1/499 Divide 73113891 by -3. -24371297 What is 0 divided by 1885692? 0 What is 725238753 divided by 3? 241746251 Divide 15082582 by -47. -320906 Calculate 8079970 divided by -1615994. -5 Calculate -7339 divided by -302. 7339/302 Divide -372372 by 4836. -77 Calculate 539 divided by -356625. -539/356625 Calculate 424 divided by 15104. 53/1888 Calculate -2094046 divided by 82. -1047023/41 234054210 divided by 2 117027105 What is 94850364 divided by 321? 295484 What is -1688 divided by -380231? 1688/380231 What is -5 divided by 2280744? -5/2280744 What is -641325 divided by 1280? -128265/256 What is 3 divided by 1445226? 1/481742 -687 divided by -157690 687/157690 Divide 17083470 by 2193. 7790 -1548894096 divided by -8 193611762 28787744 divided by 1799234 16 What is -9619830 divided by -2214? 4345 Divide 15467424 by -1933428. -8 What is 16386018 divided by 146? 112233 What is 10966340 divided by -2193268? -5 Divide 12324228 by 178612. 69 Divide 278819640 by 220. 1267362 71296580 divided by -5 -14
{ "pile_set_name": "DM Mathematics" }
*j Collect the terms in -245 + 85 + 8 + 7*f + 61. 7*f - 91 Collect the terms in -11727*k**2 + k**3 - 10527*k**2 + 32782*k**2 - 10528*k**2. k**3 Collect the terms in -29*h + 49836301 + 25*h - 241*h - 49836301. -245*h Collect the terms in 385 - 3*m - 1902 + 234. -3*m - 1283 Collect the terms in 132 - 2325*v - 158 + 2327*v + 668. 2*v + 642 Collect the terms in -4 + 2 + x - 2*x + 27633*x**3 - 39*x**2 + 0. 27633*x**3 - 39*x**2 - x - 2 Collect the terms in 5353*d**2 + 3150*d**2 + 845*d**2. 9348*d**2 Collect the terms in 68281*m**2 + 4755*m**2 - 17893*m**2 - 438*m**2 + 37896*m**2. 92601*m**2 Collect the terms in -4239 + 5061*f + 4239. 5061*f Collect the terms in 5315*z**2 - 5349*z**2 - 510*z + 510*z. -34*z**2 Collect the terms in -838*p - 848*p - 845*p - 854*p - 854*p + 4262*p. 23*p Collect the terms in -667641*x**3 - 667624*x**3 + 1335236*x**3. -29*x**3 Collect the terms in -c**3 + 12*c - 1485*c**2 + 1507*c**2 + 0*c**3. -c**3 + 22*c**2 + 12*c Collect the terms in 328888341 - 328888341 + 40*o. 40*o Collect the terms in 3*b**2 - 5118086 - b**2 + 0*b + 0*b. 2*b**2 - 5118086 Collect the terms in -5*q + 9*q + 64*q**3 - 9*q**3 - 8. 55*q**3 + 4*q - 8 Collect the terms in -55828*k - 24397*k + 21670*k. -58555*k Collect the terms in -706*q - 667*q - 1 - 4341*q + 1. -5714*q Collect the terms in -396328*x + 792082*x - 395754*x - 4*x**3. -4*x**3 Collect the terms in 215624*o + 39*o**2 - 433038*o + 217414*o. 39*o**2 Collect the terms in -10447*o**3 + 21881*o**3 - 10798*o**3. 636*o**3 Collect the terms in -32*s + 4460 + 4814 + 5*s**2 - 2304 - 4*s**2. s**2 - 32*s + 6970 Collect the terms in -487 - j + 67 - j + 142 + 104 + 103. -2*j - 71 Collect the terms in -10007*r**3 + 30034*r**3 - 10007*r**3 - 9980*r**3. 40*r**3 Collect the terms in -2061*t - 43*t**2 + 946*t + 1115*t. -43*t**2 Collect the terms in 293*t**2 - 559*t**2 + 65*t**3 - 102 + 102 + 266*t**2. 65*t**3 Collect the terms in -13900912*v + 13900912*v - 22*v**3. -22*v**3 Collect the terms in 3*b**3 + 2*b**2 - 2*b**2 - 222936*b + 74314*b + 74310*b + 74312*b. 3*b**3 Collect the terms in h - 105 + 14 - 140 - 119*h**2 + 35. -119*h**2 + h - 196 Collect the terms in 102612*c**3 + 102613*c**3 + 35 - 7 - 28 - 205228*c**3. -3*c**3 Collect the terms in -r - 65163062 + r + 3*r**2 + 65163062. 3*r**2 Collect the terms in 28*d**2 - 181*d**2 + 0 + 36*d**2 + 131*d**2 - d + 0. 14*d**2 - d Collect the terms in 2404 - 2134*y - 4805 + 2401. -2134*y Collect the terms in -3*x + 34*x - 312987 + 312990. 31*x + 3 Collect the terms in -20568 - 54785 + 8*j**2 - j**2 - 6*j**2 - 4399. j**2 - 79752 Collect the terms in -7298*a**2 - 7314*a**2 - 7365*a**2 + 21977*a**2 + 5*a**3. 5*a**3 Collect the terms in 21022*b - 38*b**2 - 21018*b - 64*b**2 + 12*b**2. -90*b**2 + 4*b Collect the terms in 1422*d + 27 + 9 - 43. 1422*d - 7 Collect the terms in -861657*r**2 + 101*r - 187*r + 86*r. -861657*r**2 Collect the terms in u**2 + 17*u**2 + 1605 - 162 - 15*u**2 - 1443. 3*u**2 Collect the terms in -36*z + 2*z**2 + 49 + 4*z**2 - 9*z**2 - 2*z**2 - 98 + 48. -5*z**2 - 36*z - 1 Collect the terms in 190*i - 74*i - 1 - 75*i - 43*i + 7. -2*i + 6 Collect the terms in -126026*w - w**2 + 63077*w + 63028*w. -w**2 + 79*w Collect the terms in 23393*p - 17544*p - 11599*p. -5750*p Collect the terms in 4 + 27*s**2 - 9*s**2 + 9 - 22 - 3*s**2 - 7*s**2. 8*s**2 - 9 Collect the terms in 2937*o - 5348*o + 2810*o + 1361*o. 1760*o Collect the terms in -110*b - 86*b**2 + 110*b - 793815*b**3 + 86*b**2. -793815*b**3 Collect the terms in 22706*r**3 + 178 - 45404*r**3 + 22697*r**3. -r**3 + 178 Collect the terms in -10823*y - 11462*y - 11462*y + 33752*y. 5*y Collect the terms in -345*x**2 - 221*x**2 + 3*x - 3*x - 225*x**2 + 982*x**2. 191*x**2 Collect the terms in -277195170 - 6*r + 554390301 - 277195131. -6*r Collect the terms in -8*o**3 - 69 + 69 + 11*o**3 + 3*o**3. 6*o**3 Collect the terms in -7864000*q + 15728011*q - 7864009*q. 2*q Collect the terms in 0*y**3 - y**3 + 279*y**2 - 271*y**2 + 11*y**2 + y**2 - 20*y**2. -y**3 Collect the terms in -10976*b**2 + 21947*b**2 - 3 - 10968*b**2 + 20. 3*b**2 + 17 Collect the terms in 2 - 23040*v**2 - 2 + 38422*v**2. 15382*v**2 Collect the terms in -947401*h - 16 + 16 + 947397*h. -4*h Collect the terms in -147335*f**2 + 3435*f - 3435*f. -147335*f**2 Collect the terms in -26*w - 70*w - 30*w + 213*w - 37*w - 29*w - 19*w. 2*w Collect the terms in -25*f - 426 - 428 - 67*f**3 + 25*f + 854. -67*f**3 Collect the terms in 145499*r + 145414*r - 290916*r. -3*r Collect the terms in -339305*f + 169461*f + 169830*f. -14*f Collect the terms in -513*k - 10126*k + 8334*k - 27339*k. -29644*k Collect the terms in -1604*g**2 - 1 - 79*g**3 + 87*g**3 + 1604*g**2 - 4. 8*g**3 - 5 Collect the terms in 137254622*j**3 + 137254618*j**3 + 3*j**2 - 274509234*j**3 - 2*j**2 - j**2. 6*j**3 Collect the terms in 1649 + 13*n + 6*n + 773. 19*n + 2422 Collect the terms in -2563768*m**3 - 4*m + 2563766*m**3 + 4*m. -2*m**3 Collect the terms in 219*n - 13*n**2 + 214*n + 222*n - 874*n + 219*n. -13*n**2 Collect the terms in 9109*h - 472 - 2*h**3 - 9148*h - 19 + 3*h**3. h**3 - 39*h - 491 Collect the terms in 87 + b + b - 313 + 82 + 224 + 78. 2*b + 158 Collect the terms in 6*c**2 + 6262 - 7170 + 908. 6*c**2 Collect the terms in -633 - 1010 - 7529 - 287*c. -287*c - 9172 Collect the terms in -24070*b - 23926*b + 48306*b. 310*b Collect the terms in 194150*a**2 + 168588*a**2 - 362742*a**2. -4*a**2 Collect the terms in 2*h**2 + 2600181805*h - 2600181920*h + 0*h**2. 2*h**2 - 115*h Collect the terms in 1225 + 182 + 149 + 2*q - 1451. 2*q + 105 Collect the terms in 378*j - 259*j - 582*j - 4 - 5. -463*j - 9 Collect the terms in -275 + 548 - 277 + 1432*k. 1432*k - 4 Collect the terms in -1752 + 4127 + 2*f**2 - 2375 + 15*f**2. 17*f**2 Collect the terms in 82 - 2834*a**2 - 43 - 44 - 21*a. -2834*a**2 - 21*a - 5 Collect the terms in -d**2 + 20*d**2 - 19*d**2 + 2*d**2 - 3*d**2. -d**2 Collect the terms in -2 - 238974748*u**2 - 13 + 238974750*u**2. 2*u**2 - 15 Collect the terms in -19079*u - 21079*u + 37799*u. -2359*u Collect the terms in 32*c - 224*c**2 - 31*c - 387*c**2 - c. -611*c**2 Collect the terms in 11*l**2 - 4623*l - 55403 + 55403 + 4589*l. 11*l**2 - 34*l Collect the terms in o + 3658 + 3682 + 3694 - 11006. o + 28 Collect the terms in -28*y**3 - 37*y**3 + 78*y**3 - 18*y**3 - 9*y**3 - 28*y**3. -42*y**3 Collect the terms in -706*i + 0*i**2 + 16*i**2 - 21*i**2 + 3*i**2 - 10*i + 2. -2*i**2 - 716*i + 2 Collect the terms in -38 - 1396454*w + 38. -1396454*w Collect the terms in -2*y**2 + 12*y**2 + 0*y**2 + 607 - 11657. 10*y**2 - 11050 Collect the terms in -13*h + 42*h - 23*h + 103*h + 99*h. 208*h Collect the terms in -638390*w + 752428*w**2 + 638390*w. 752428*w**2 Collect the terms in 111*m**2 - 137*m**2 + 2*m - 125*m**2 + 151*m**2 + 2*m**3. 2*m**3 + 2*m Collect the terms in -1412 - 1010 + 3812 - 1390 + 3*m**2. 3*m**2 Collect the terms in -428819*d - 428799*d + 857643*d. 25*d Collect the terms in 8566*n**3 - 2728*n**3 - 3053*n**3 - 3029*n**3. -244*n**3 Collect the terms in -5*k + 198 + k + k - 103 - 4*k + 6*k. -k + 95 Collect the terms in l - 420827*l**3 + 210934*l**3 - l + 209892*l**3. -l**3 Collect the terms in 133 + 17*h + 138 - 265. 17*h + 6 Collect the terms in -10491542 + 10491542 - 178027*g. -178027*g Collect the terms in -13635*c - 13622*c + 40911*c - 3 - 13644*c. 10*c - 3 Collect the terms in 499533*i**2 - 240046*i**2 - 249991*i**2. 9496*i**2 Collect the terms in 3*g**3 + 13*g**3 + 97436 + 15961 + 162205. 16*g**3 + 275602 Collect the terms in 5372 + 7528 + 2*j**2 - 12900. 2*j**2 Collect the terms in 7598*d + 7440*d - 22357*d + 7645*d. 326*d Collect the terms in 17*q**2 - 8*q**2 - 9*q**2 + 33*q**2 - 15*q**2. 18*q**2 Collect the terms in 3599*y**2 - 7 + 2*y + 3587*y**2 - 7181*y**2. 5*y**2 + 2*y - 7 Collect the terms in -13296*l**2 - 9811*l**2 + 23110*l**2. 3*l**2 Collect the terms in -1834*s**3 + 2655*s**3 - 1419*s**3. -598*s**3 Collect the terms in 36265*m**2 + 24502*m**2 - 968943*m**2 - 70099*m**2. -978275*m**2 Collect the terms in -237*m + 24*m - 1 + 31*m + 29*m + 61*m + 41*m. -51*m - 1 Collect the terms in 821*i - 5*i**3 - 7406*i - 17582*i. -5*i**3 - 24167*i Collect the terms in -1901385*n**3 - 1901391*n**3 - 1901391*n**3 - 1901388*n**3 + 7605554*n**3. -n**3 Collect the terms in -8128*s +
{ "pile_set_name": "DM Mathematics" }
0 in increasing order. -10, -8, -4, 2, 3 Sort 8, -2, 121 in decreasing order. 121, 8, -2 Sort 0, 21, -9 in ascending order. -9, 0, 21 Sort 40, -25, -2. -25, -2, 40 Sort -7, 12, 0. -7, 0, 12 Put -9, 0, -2, -4 in decreasing order. 0, -2, -4, -9 Sort -0.3, 27, -0.4, 15. -0.4, -0.3, 15, 27 Sort 2, 0.1, -3/2, -3/5 in ascending order. -3/2, -3/5, 0.1, 2 Sort -6, 0.3, -4 in decreasing order. 0.3, -4, -6 Sort 139, -2, 87 in descending order. 139, 87, -2 Sort 3, -0.5, 2/13, -0.1 in ascending order. -0.5, -0.1, 2/13, 3 Sort 3, -1/3, -0.05, 10 in decreasing order. 10, 3, -0.05, -1/3 Sort -9, -0.4, 2 in descending order. 2, -0.4, -9 Sort 0.4, -3/2, 0, -1.7, 2 in decreasing order. 2, 0.4, 0, -3/2, -1.7 Sort -1, 4, 144. -1, 4, 144 Sort -2420, -2/9, -0.1, 1/3. -2420, -2/9, -0.1, 1/3 Put -8, -15, 4 in ascending order. -15, -8, 4 Put -5, 0.3, 1/3, 8.5 in descending order. 8.5, 1/3, 0.3, -5 Sort 3, 6, 8. 3, 6, 8 Sort -1, -2, 5, 2, -9. -9, -2, -1, 2, 5 Sort 3, 28, -0.6 in decreasing order. 28, 3, -0.6 Put 2, -6, 6 in decreasing order. 6, 2, -6 Sort -5, -3, -877, -7. -877, -7, -5, -3 Sort -2, -5, 4, -4, 61 in decreasing order. 61, 4, -2, -4, -5 Sort -3.4, -6, 3, 2. -6, -3.4, 2, 3 Sort -1, 1, -75, 2. -75, -1, 1, 2 Sort 3, 5, -10, -5 in decreasing order. 5, 3, -5, -10 Sort 0.01, 0.5, 4, 38. 0.01, 0.5, 4, 38 Sort -0.3, -137, -3, -3/4, -1/2. -137, -3, -3/4, -1/2, -0.3 Sort 3/8, 0.5, -1/5, -5 in decreasing order. 0.5, 3/8, -1/5, -5 Sort 2, 7, -4 in ascending order. -4, 2, 7 Put 9/5, 0.4, -0.4, 3 in ascending order. -0.4, 0.4, 9/5, 3 Put -1, 1, 19 in decreasing order. 19, 1, -1 Put -1, 2530, 4 in ascending order. -1, 4, 2530 Sort 3, 16, 0. 0, 3, 16 Sort -13, -16, 4, -4, 1. -16, -13, -4, 1, 4 Put 3, -1650, -0.1, -1 in increasing order. -1650, -1, -0.1, 3 Sort -2/3, -2/5, -3, -0.1. -3, -2/3, -2/5, -0.1 Sort -0.1, 7, 0.4, -2, -1/8. -2, -1/8, -0.1, 0.4, 7 Sort -2/7, -2, 0.3, 3/31. -2, -2/7, 3/31, 0.3 Sort 0, -3, 4. -3, 0, 4 Put 2, 6/13, -1 in descending order. 2, 6/13, -1 Put 0, -10, -1, -5 in descending order. 0, -1, -5, -10 Sort 28, -358, -3 in decreasing order. 28, -3, -358 Sort 0.3, -2/11, 0.8 in decreasing order. 0.8, 0.3, -2/11 Put 9, -2, -1/4, 2, -4/3 in ascending order. -2, -4/3, -1/4, 2, 9 Sort -2/387, -3/7, 0.3. -3/7, -2/387, 0.3 Sort -4, 4, -16. -16, -4, 4 Sort 0.04, -2/25, -2/3, 3/4 in decreasing order. 3/4, 0.04, -2/25, -2/3 Put 9, 1/8, -1/27 in descending order. 9, 1/8, -1/27 Put -2, 5, 296, -7 in decreasing order. 296, 5, -2, -7 Put -2, -1, -5, 3, -44 in decreasing order. 3, -1, -2, -5, -44 Sort -3, 3, -1, 10 in decreasing order. 10, 3, -1, -3 Sort -0.9, 0.3, 0.7, 0.5 in descending order. 0.7, 0.5, 0.3, -0.9 Put 93, 1, -4 in descending order. 93, 1, -4 Sort -9, 0, 4, 1, -51 in descending order. 4, 1, 0, -9, -51 Sort 2, 1, 30, 21, 3 in increasing order. 1, 2, 3, 21, 30 Sort -1, -13, 3, 0.2 in descending order. 3, 0.2, -1, -13 Sort 0, -3, 2, 50 in descending order. 50, 2, 0, -3 Sort 5.1, 2, 0, 0.5 in increasing order. 0, 0.5, 2, 5.1 Put -16, -0.2, -0.5 in descending order. -0.2, -0.5, -16 Sort 3, -58, -4, -5. -58, -5, -4, 3 Sort -4, -29, 11/3 in increasing order. -29, -4, 11/3 Sort -3, -6, -1, 4 in descending order. 4, -1, -3, -6 Put 2/13, 3, 2/3, 1, 2/9 in descending order. 3, 1, 2/3, 2/9, 2/13 Sort -45, 3, -2/29 in descending order. 3, -2/29, -45 Put -8, 0, -2, -4 in ascending order. -8, -4, -2, 0 Put 4/7, 5, 0.03526 in increasing order. 0.03526, 4/7, 5 Sort -4, -24, -5, 2 in increasing order. -24, -5, -4, 2 Put 4, 38, -1, 3, -3 in ascending order. -3, -1, 3, 4, 38 Sort -190, -2, 24. -190, -2, 24 Sort -5, -31, 5, -0.1 in decreasing order. 5, -0.1, -5, -31 Sort 1.6, 9/8, -7. -7, 9/8, 1.6 Sort -2, -1, 2 in descending order. 2, -1, -2 Sort 2, 3, 4, -37. -37, 2, 3, 4 Put -1, -9, 2 in increasing order. -9, -1, 2 Sort 7, -9/11, 17 in decreasing order. 17, 7, -9/11 Put 4/13, 1, 1/44 in descending order. 1, 4/13, 1/44 Sort 1/6, -0.2, -18, -1, 0 in descending order. 1/6, 0, -0.2, -1, -18 Sort -4, -21, 3, 5. -21, -4, 3, 5 Sort 3, 5, 4 in ascending order. 3, 4, 5 Sort -5, 0.5, 9 in descending order. 9, 0.5, -5 Sort -3, 7, -2, -4 in ascending order. -4, -3, -2, 7 Put 3/5, -8.7, -5 in decreasing order. 3/5, -5, -8.7 Sort 0.036, 4, 3, -3, 2. -3, 0.036, 2, 3, 4 Sort -1, -4, -115, -5, -3. -115, -5, -4, -3, -1 Sort -0.5, -1/28, -1, -1.6, -2. -2, -1.6, -1, -0.5, -1/28 Put 1, 5, 10, -5, -3 in decreasing order. 10, 5, 1, -3, -5 Put 5, 2, -26 in descending order. 5, 2, -26 Sort 2/3, 4, 2/53 in decreasing order. 4, 2/3, 2/53 Sort 3, -1, 48. -1, 3, 48 Put 4, -8/17, 2, -2/7 in descending order. 4, 2, -2/7, -8/17 Sort 5, -3, 6, -1 in decreasing order. 6, 5, -1, -3 Sort 4, 7/2, 0 in decreasing order. 4, 7/2, 0 Put -2, 4, -7, 21 in ascending order. -7, -2, 4, 21 Sort 4, -0.4, -2/3, 2/45. -2/3, -0.4, 2/45, 4 Sort 1, -4, -148 in decreasing order. 1, -4, -148 Put -4, -5, -2, -106, -1 in increasing order. -106, -5, -4, -2, -1 Sort -18, -2, 5, 27, 2 in increasing order. -18, -2, 2, 5, 27 Sort 4, 114, 13, -1, 0 in increasing order. -1, 0, 4, 13, 114 Sort -3, 1, -5, 11 in descending order. 11, 1, -3, -5 Sort -2/9, 58, -4/7, -0.4 in increasing order. -4/7, -0.4, -2/9, 58 Put -20, -4, 3, -1 in decreasing order. 3, -1, -4, -20 Sort -2, 4, 0, -5, 30 in descending order. 30, 4, 0, -2, -5 Put -30, -2, 2, 7, 5 in descending order. 7, 5, 2, -2, -30 Put 0.5, -24, -2/15, -2 in decreasing order. 0.5, -2/15, -2, -24 Sort -1, -5, -4, 363 in descending order. 363, -1, -4, -5 Put -0.4, 4, 0, 231 in descending order. 231, 4, 0, -0.4 Put -3097, -2, 2 in ascending order. -3097, -2, 2 Sort 3, -5, -1, 4 in decreasing order. 4, 3, -1, -5 Sort 5, 4, 40, 3 in ascending order. 3, 4, 5, 40 Sort 0, 4, 57, 10 in descending order. 57, 10, 4, 0 Put 5/6, 104, 1/10 in increasing order. 1/10, 5/6, 104 Sort 22/17, -0.1, 0.2, 4, -2 in decreasing order. 4, 22/17, 0.2, -0.1, -2 Put 2, -5, 5, 4, 1/3 in decreasing order. 5, 4, 2, 1/3, -5 Sort 6, 3, -1, 15, 5 in ascending order. -1, 3, 5, 6, 15 Sort -3, 3, -619. -619, -3, 3 Sort 2, 5, 3, -0.069 in increasing order. -0.069, 2, 3, 5 Put 4/7, -2, 63 in ascending order. -2, 4/7, 63 Sort -3, -7, -0.2, 3. -7, -3, -0.2, 3 Sort 2, 3, 7, -2 in increasing order. -2, 2, 3, 7 Put 0.3, 1/6, -0.2, -5 in increasing order. -5, -0.2, 1/6, 0.3 Sort -2/35, 5, 27, -2 in increasing order. -2, -2/35, 5, 27 Put 2, -2, 3, -10 in descending order. 3, 2, -2, -10 Sort -2, -3, -0.21, 3 in decreasing order. 3, -0.21, -2, -3 Put 5, -7, -3, 12, -1 in descending order. 12, 5, -1, -3, -7 Sort 2, 1, -1, -8. -8, -1, 1, 2 Sort 0.02, 244, 1/7, 2 in increasing order. 0.02, 1/7, 2, 244 Put -18, 3, -1/3, 4, -1/4 in decreasing order. 4, 3, -1/4, -1/3, -18 Put 0.5, -0.3, 0.2, -1/22, -2/7 in ascending order. -0.3, -2/7, -1/22, 0.2, 0.5 Sort -0.2, 0.03, 0 in decreasing order. 0.03, 0, -0.2 Sort 19, -5, -4 in ascending order. -5, -4, 19 Sort 2.71, 0.9, -5. -5, 0.9, 2.71 Put -5/2, 1.3, 2/11, 3 in decreasing order. 3, 1.3, 2/11, -5/2 Sort 0, 75, 2 in increasing order. 0, 2, 75 Sort 4, -5, -1, 2803 in decreasing order. 2803, 4, -1, -5 Put 3, 0, 9, 2/17 in decreasing order. 9, 3, 2/17, 0 Sort -22, -3, -4, -1 in decreasing order. -1, -3, -4, -22 Sort 0.2, 0.349, 3/5, -9, -0.1 in descending order. 3/5, 0.349, 0.2, -0.1, -9 Sort 1, -9, -0.3, -105, -4 in descending order. 1, -0.3, -4, -9, -105 Put 0, -5, 5, -1 in decreasing order. 5, 0, -1, -5 Sort -2/11, -7, 0.3 in ascending order. -7, -2/11, 0.3 Put 114, 1, 3 in descending order. 114, 3, 1 Sort 0, -5, 2, -2, 3 in ascending order. -5, -2, 0, 2, 3 Sort -2, 3, -55, -5. -55, -5, -2, 3 Sort 0.3, -2/11, -2, 1/2 in descending order. 1/2, 0.3, -2/11, -2 Put -7, 160, -5 in descending order. 160, -5, -7 Put -0.4, -8, 1/2, -4, -0.5 in decreasing order. 1/2, -0.4, -0.5, -4, -8 Sort 0.5, -0.007, 19 in descending order. 19, 0.5, -0.007 Put 6, 2, 5, 74 in descending order. 74, 6, 5, 2 Sort 8, 4, -7, -1 in decreasing order. 8, 4, -1, -7 Sort -1, 5, 1/65, 0.1 in descending order. 5, 0.1, 1/65, -1 Put -10, -4, 0, 5, 2 in decreasing order. 5, 2, 0, -4, -10 Put 2, 1, -47 in ascending order. -47, 1, 2 Put 10, -2, 1, 68 in decreasing order. 68, 10, 1, -2 Sort -5, -13, -3, 3 in decreasing order. 3, -3, -5, -13 Put -5, 16, 4 in decreasing order. 16, 4, -5 Put -5, 4, -0.5, -0.2 in ascending order. -
{ "pile_set_name": "DM Mathematics" }
+ d. Calculate the highest common divisor of u and 77. 11 Suppose -6*t = -8*t - 3*j + 75, 2*j = -6. Calculate the highest common factor of t and 1134. 42 Let x(v) = -19*v - 16. Let f be x(-3). What is the highest common factor of 164 and f? 41 Let o(p) = -p**2 + 9*p + 16. Let j be o(10). What is the greatest common factor of 12 and j? 6 Suppose 21*t - 539 = 1015. Calculate the highest common factor of 37 and t. 37 Suppose 5*k + 0*o - 4*o - 85 = 0, -2*k - 2*o + 16 = 0. Let q(u) = 2 + k*u + 21*u + 2 - 3. Let b be q(2). What is the highest common divisor of 23 and b? 23 Let f(p) = -p**3 + 24*p**2 + 26*p - 20. Let j be f(25). Suppose 4*g = 2*c + 14 + 52, -4*g + 51 = 3*c. Calculate the greatest common factor of j and g. 5 Suppose u + 5 = 0, -8*u - 1140 = -5*l - 5*u. Calculate the highest common factor of 45 and l. 45 Let k(y) = y - 22. Let f be k(20). Let u be (3 - (-1)/(4/(-114)))*f. What is the highest common factor of u and 34? 17 Let w = 8 + 19. Suppose 0 = 5*l + 4*n - 72, -3*n + w = 4*l - 30. What is the greatest common factor of 30 and l? 6 Suppose 13*q - 16720 = -6*q. What is the highest common factor of 55 and q? 55 Suppose 199 = 21*p + 73. Suppose -4*t = -t - 27. Calculate the highest common factor of p and t. 3 Let x(a) = a**2 - 2*a - 27. Let m be x(6). Let u be (-3)/(0 + 3 + m + -3). Let d = -10 - -15. What is the greatest common factor of u and d? 1 Let v = -321 - -372. What is the highest common divisor of v and 3? 3 Suppose 4*p = -2*x + 1602, -25*p + 4*x + 1229 = -22*p. Calculate the highest common factor of 52 and p. 13 Let z be (-124)/(-3) + (-6)/(-9). Let l be ((-35)/(-45)*6)/(1/99). Calculate the highest common divisor of z and l. 42 Suppose 0 = 3*t - l - 370, -5*t - 18*l + 14*l = -628. What is the greatest common divisor of 186 and t? 62 Let a = -83 - -87. Calculate the highest common factor of 1 and a. 1 Let y = 32 + 24. Let u(q) = q**2 + q - 1. Let s be u(1). Let t be s/(-4) - 171/(-12). Calculate the highest common factor of y and t. 14 Let d be 4/(-10) + (-104)/(-10). Let r = -7571 + 7761. Calculate the greatest common divisor of d and r. 10 Let b = 3 - -1. Suppose 2*m = -5*s + 4*s + 37, 4*s = -b*m + 72. Let k = 32 - 13. What is the greatest common divisor of k and m? 19 Let o(a) = a**3 - 5*a**2 - 14*a + 7. Suppose 10*v = 13*v - 21. Let y be o(v). Calculate the highest common factor of 63 and y. 7 Let g = -863 - -908. Calculate the highest common divisor of 90 and g. 45 Suppose 324 = 4*s - 468. Let f be (284/(-6))/(2/3). Let m = f + 93. Calculate the highest common divisor of s and m. 22 Let s(k) = 7*k**2 + 12*k - 11. Let i be s(1). What is the highest common divisor of i and 40? 8 Let h = 557 - 344. Calculate the greatest common factor of 6 and h. 3 Let w be -6 - (76/28 - (-2)/7). Let q be (-2)/(((-3)/w)/((-7)/2)). Calculate the greatest common factor of 63 and q. 21 Let m = 42 - 18. What is the greatest common factor of m and 64? 8 Suppose 0 = -5*y + 39 + 61. Suppose -5*z + 65 = -4*z + 5*u, -y = -5*u. What is the highest common factor of 15 and z? 15 Suppose -5*q = 2*o - 29 - 10, 0 = 4*q - 5*o - 18. Let s = 0 + q. Let c be (28/8)/(2/28). What is the highest common factor of s and c? 7 Let g = 51 + -24. Suppose -367*f + 350*f = -1377. What is the greatest common divisor of g and f? 27 Let k(p) = -2*p**2 - 121*p + 501. Let f be k(-61). Calculate the greatest common factor of 280 and f. 40 Let x(w) = w**2 - 3*w - 12. Let m(f) = -f**3 + 5*f**2 - f - 3. Let a be m(4). Let r be x(a). What is the highest common factor of r and 7? 7 Let y be (-8)/2*(-5)/2. Let v = -4 + y. Let x be 68/10 + 42/35 + -2. Calculate the greatest common factor of v and x. 6 Let i(l) be the third derivative of 1/6*l**3 + 5*l**2 + 0 + 0*l + 11/60*l**5 - 1/12*l**4. Let p be i(1). What is the greatest common factor of p and 80? 10 Let l = 48 - 61. Let p = 49 + l. What is the highest common divisor of p and 24? 12 Suppose -3*s = -106 - 251. Let f = 79 + -113. Let h be (-14)/(-7)*f/(-4). What is the greatest common divisor of h and s? 17 Let i(d) = 7*d**2 + 4*d + 3. Let h = 35 + -36. Let o be i(h). What is the highest common divisor of 66 and o? 6 Let v(b) = b - b + 2*b**2 + 1 - 2*b - b**2. Let n be v(-3). Suppose 0 = -2*j + 4*s + 268, 4*j - 5*s = 177 + 350. What is the highest common divisor of n and j? 16 Suppose -32*s + 1029 = -2651. What is the greatest common divisor of s and 46? 23 Let u = 8 - 12. Let c be -2 - -5*u/(-2). Let j = -585 + 673. Calculate the greatest common factor of j and c. 8 Let l be 1*(2 + -3 + -1). Let s be l*((-315)/(-6))/7. Let n = 36 + s. Calculate the greatest common divisor of 7 and n. 7 Suppose -204 = -5*b - b. Calculate the highest common divisor of 17 and b. 17 Let a be (112/12)/7*3. Let h be a/26 - 356/(-52). Calculate the highest common divisor of 28 and h. 7 Let q = 15 + -8. Let n = q - 2. Suppose 4*g = n*s - 3*s - 40, 10 = 3*s + 4*g. Calculate the highest common factor of 4 and s. 2 Let s = 878 + -743. Let a(x) = -x**3 - 2*x**2 - 7*x - 6. Let c be a(-4). What is the greatest common divisor of c and s? 27 Let s be 14/(1/(-6 + 10)). Calculate the greatest common factor of s and 49. 7 Let f(d) = d**2 + 7*d + 7. Let z be f(-6). Let s be 51/(z*(-3)/(-2)). What is the greatest common divisor of s and 51? 17 Let m(c) = -3*c - 19. Let d = 162 + -171. Let x be m(d). Let u(j) = j**2 + j + 4. Let i be u(0). Calculate the highest common divisor of x and i. 4 Let p be (1/2)/((-38)/(-1140)). Let k = 19 - 13. Calculate the highest common factor of p and k. 3 Let g = -23 + 25. Suppose 0 = k - g - 0. What is the greatest common divisor of 3 and k? 1 Let f(n) = -n**3 - 10*n**2 + 18*n - 20. Let y be f(-12). Calculate the greatest common factor of 8 and y. 4 Let c be -2 - 1 - -2*(-55)/(-10). Calculate the greatest common factor of c and 1304. 8 Let d = 16 - -2. Let h be -4*(d/5)/(15/(-75)). Calculate the greatest common factor of 24 and h. 24 Let g = 4 - 0. Suppose 0 = 4*l - g*m - 76, 4*l - 2*m - 41 = -5*m. Suppose -4*a - 3*k + 49 = 9, -4*k = a - 23. What is the highest common factor of l and a? 7 Let b be (5 - 5)*2/(-4). Suppose b = -3*d + 24. What is the highest common factor of d and 20? 4 Let k be 2*3/(-8) - (-107)/4. Suppose b + n = -b + k, 5*n - 70 = -5*b. Suppose i - 1 = 0, -3*i = -2*w + 2 + 31. Calculate the highest common divisor of w and b. 6 Let f be -1 + (-5)/(5/(-6)). Let t(i) = i**3 + 5*i**2 + i - 7. Let w be t(-4). Calculate the highest common factor of w and f. 5 Suppose c + 8 = 26. Let g = c - 13. Let b(i) = -i + 10. Let y be b(g). What is the greatest common divisor of 40 and y? 5 Let x = -62 - -69. What is the highest common factor of 56 and x? 7 Let b = 138 + 269. Calculate the greatest common divisor of b and 111. 37 Let c = 667 + -355. Let q(d) = 15*d - 21. Let m be q(4). What is the highest common factor of c and m? 39 Suppose p + 3*p + 20 = 0. Let o(i) = i**3 + 5*i**2 - i - 1. Let v be o(p). Let b be (-8)/(-36) + (-70)/(-9). What is the highest common factor of v and b? 4 Suppose 0*x = 3*u + x + 1, -5*x = u + 5. Suppose 11*t + u*t - 33 = 0. What is the highest common divisor of 27 and t? 3 Suppose 24 = -97*z + 100*z. What is the highest common factor of z and 8? 8 Suppose -42*k + 48*k - 378 = 0. What is the greatest common divisor of k and 18? 9 Let z be 3/6*-10*616/(-20). Calculate the highest common factor of z and 22. 22 Let h(u) be the first derivative of 128*u**3/3 + 3*u**2/2 - 3*u - 33. Let w be h(1). What is the highest common factor of w and 16? 16 Let z be (-4)/(6/(-44*6)). Let b be (-6)/(-4)*(-968)/(-66). What is the greatest common factor of b and z? 22 Suppose -14*v + 2975 = -9*v. What is the greatest common factor of 170 and v? 85 Let j be (8/(-12))/((-1)/3). Suppose -5*m = 4*w - 727, -j*m = -4*w - 41 - 261. What is the greatest common divisor of m and 21? 21 Suppose n = 245 - 223. Calculate the highest common divisor of 803 and n. 11 Let v(q) = 12*q**2 - q - 1. Let o be v(-1). Let a be 8*3*o/9. Let j be ((-14)/(-21)*-9)/((-27)/12)*18. Calculate the highest common factor of j and a. 16 Let c = 26 + -6. Suppose 0 = 5*n - 4*n, 3*n = 5*j - c. Suppose 4 = -g, -2*g = -5*q - j*g + 42. What is the greatest common factor of q and 110? 10 Suppose 14*r - 18*r - 2*k + 1812 = 0, -r + 435 = -4*k. What is the highes
{ "pile_set_name": "DM Mathematics" }
1*f**2 Collect the terms in 147*n**2 + 39078906*n - 39078906*n + 142*n**2 - 271*n**2. 18*n**2 Collect the terms in -942 - m + m + 970*m**2 + 1692*m**2 + 942. 2662*m**2 Collect the terms in -12220198 + 12220198 - 16*r**3. -16*r**3 Collect the terms in 34*g - 7*g + 69*g + 84*g + 3*g - 74. 183*g - 74 Collect the terms in 682497626*l**2 + 682497625*l**2 - 1364995248*l**2. 3*l**2 Collect the terms in 1643597711*y + 373*y**3 - 376*y**3 - 1643597711*y. -3*y**3 Collect the terms in 299*m - 299*m - 12266*m**2 + 1929*m**2. -10337*m**2 Collect the terms in 2037*y + 2678*y + 6812*y - 1647*y. 9880*y Collect the terms in -32469698*r**2 - 8*r - 32469696*r**2 + 8*r + 64939400*r**2. 6*r**2 Collect the terms in 3*n**2 + 222 - 556 - n**2 - 4*n**2 + 5*n**2. 3*n**2 - 334 Collect the terms in 74*c**2 - 8*c**3 - 10*c**3 - 44*c**2 - 27*c**2 + 24*c**3. 6*c**3 + 3*c**2 Collect the terms in -12740*r**2 - 12703*r**2 + 25344*r**2. -99*r**2 Collect the terms in 5632*q**2 - 411*q - 5635*q**2 + 405*q. -3*q**2 - 6*q Collect the terms in 12296*j - 3360*j - 6192*j. 2744*j Collect the terms in -2*p**2 - 2401023831*p + 2401023831*p. -2*p**2 Collect the terms in -117193336*f + 117193336*f + 4*f**2 + 4*f**2. 8*f**2 Collect the terms in -465*a**3 + 2*a**3 - 96*a**3 - 2*a**2 + 2*a**2. -559*a**3 Collect the terms in -27*d**3 - 622946 + 622946. -27*d**3 Collect the terms in 56*z + 64*z - 104*z - 16*z + 31*z**3 - 2. 31*z**3 - 2 Collect the terms in 7875*n + 1444*n - 4506*n + 8070*n + 1701*n. 14584*n Collect the terms in -85*g - 89*g + 174*g + 1014*g**2. 1014*g**2 Collect the terms in 8916*d + 28991*d + 13104*d - 46 + 46. 51011*d Collect the terms in -50585*y + 50585*y - 12624*y**2. -12624*y**2 Collect the terms in -65*w**3 - 11 + 6 + 90*w**3 + 5 - 107*w**3. -82*w**3 Collect the terms in -100 + 310 + 77*q - 105 - 105 - 19*q. 58*q Collect the terms in 7*w + 27882 - 28020 - 3*w - w - 2*w. w - 138 Collect the terms in -94*l - 10*l + 102*l + 0*l - 11*l - 10*l. -23*l Collect the terms in 3894*i**2 - 7360*i**2 + 30 - 30. -3466*i**2 Collect the terms in 2 - 517836998*k - 2. -517836998*k Collect the terms in -36*p**2 - 178 + 7 - 42819*p + 42820*p - 66. -36*p**2 + p - 237 Collect the terms in 44070*a**3 - 466 - 44071*a**3 + 460. -a**3 - 6 Collect the terms in 33982*n**2 + 33908*n**2 - 101811*n**2 + 33911*n**2. -10*n**2 Collect the terms in 281093*p**3 - 1568728*p**3 - 928741*p**3. -2216376*p**3 Collect the terms in -99131*i**3 + 99134*i**3 + 164886*i**2 - 164886*i**2. 3*i**3 Collect the terms in -4500*u**3 + 4974*u**3 - 3138*u**3. -2664*u**3 Collect the terms in 19905*n**3 - 2042*n**3 + 9612*n**3. 27475*n**3 Collect the terms in -15300*r**3 + 88*r - 88*r - 25721*r**3. -41021*r**3 Collect the terms in 89*r**2 - 40 - 48*r**2 - 42*r**2 + 38. -r**2 - 2 Collect the terms in -26*d**3 - 136*d**3 + 31*d**3 + 35*d**3 + 32*d**3 + 31*d**3 + 28*d**3. -5*d**3 Collect the terms in -2635 + 1314 + 1990*c + c**3 + 1321. c**3 + 1990*c Collect the terms in 84*v**3 + 125972 + 88*v**3 - 181*v**3. -9*v**3 + 125972 Collect the terms in 754*o + 137 + 147 + 132 - 411. 754*o + 5 Collect the terms in 22*h**3 + 20*h + 219*h**3 + 129*h**3. 370*h**3 + 20*h Collect the terms in -4266*u**3 + 2233*u**3 + 2019*u**3. -14*u**3 Collect the terms in -68*w**3 + 62*w**3 + 105 + 118 - 290 + 67. -6*w**3 Collect the terms in 29541*z**2 + 29485*z**2 + 29524*z**2 - 88548*z**2. 2*z**2 Collect the terms in -683550*f**3 + 345902*f**3 + 337658*f**3. 10*f**3 Collect the terms in -246505*y**3 + 59887*y**3 - 131672*y**3. -318290*y**3 Collect the terms in 3*v**2 + 457900 - 457831 + 30*v**3 - 3*v**2. 30*v**3 + 69 Collect the terms in 1 + d + 24*d**2 - 295*d**3 + 775*d**3 - 2 - 3*d. 480*d**3 + 24*d**2 - 2*d - 1 Collect the terms in 35424582*d**3 + d - 4*d + 35424581*d**3 + 2*d + d - 70849174*d**3. -11*d**3 Collect the terms in 86*a**2 + 91*a**2 + 393*a**2 - 648*a**2 + 85*a**2. 7*a**2 Collect the terms in 0*y**2 + 11*y**2 - y - y**2 + y - 9*y**2. y**2 Collect the terms in -q**3 + 5005 + 17180 + 2467 - 5*q - q**2 + 280. -q**3 - q**2 - 5*q + 24932 Collect the terms in 939*o - 3989*o + 0 - 1 - 54*o**3 - 7179*o. -54*o**3 - 10229*o - 1 Collect the terms in -3*r + 133*r**2 + 56*r**2 - 16 - 22*r**3 + 3*r. -22*r**3 + 189*r**2 - 16 Collect the terms in -112 + 112 + 105268*s**3. 105268*s**3 Collect the terms in 20*j - 17*j - 32240213818 + 32240213818. 3*j Collect the terms in 18*w - 2743*w**2 + 5453*w**2 - 2712*w**2 + 67*w**3. 67*w**3 - 2*w**2 + 18*w Collect the terms in 21596220*v - 638124 + 638124 - 21596183*v. 37*v Collect the terms in -2*v**3 - 1 + 7 - 6 - 3*v**2 - 402*v. -2*v**3 - 3*v**2 - 402*v Collect the terms in -11387*n - 6092*n - 6835*n + 3847*n. -20467*n Collect the terms in 105 + 1514140*s + 1214999*s - 107. 2729139*s - 2 Collect the terms in 10663*u - 125 - 10663*u - 592*u**2 + 125. -592*u**2 Collect the terms in 4*t - 6*t + 1126 + 3*t + 1053. t + 2179 Collect the terms in 2*g - 19395 + 19395 - 4217*g**3 + 4221*g**3 - 5*g. 4*g**3 - 3*g Collect the terms in -8*q**2 - 1068041 + 3204102 + 4*q - 1068033 - 4*q - 1068028. -8*q**2 Collect the terms in -32276*y**3 + 6518*y**3 - 11082*y**3. -36840*y**3 Collect the terms in -812*z**2 + 29 - 5465 + 2607*z**2. 1795*z**2 - 5436 Collect the terms in -959*s + 1 + 1086*s + 1744*s. 1871*s + 1 Collect the terms in 5092*y + 8 - 2528*y - 2560*y. 4*y + 8 Collect the terms in -16*a - 20*a + 14*a - 3 - 4. -22*a - 7 Collect the terms in 916*v + 13284*v - 23 + 23. 14200*v Collect the terms in -4 + 4 + 857559*b + 857536*b - 1715097*b. -2*b Collect the terms in 1437*i - 2020*i - 670*i - 3549*i. -4802*i Collect the terms in -1367*r**2 + 2733*r**2 + 0*r**3 - 13*r**3 + 5*r**3 - 1366*r**2. -8*r**3 Collect the terms in -904348 + 452180 + 452167 + 183*w**3. 183*w**3 - 1 Collect the terms in -2888*k - 14590*k + 8254*k - 14878*k. -24102*k Collect the terms in 2 - 3*o + 289*o**2 - 83*o**2 - 97*o**2 - 111*o**2. -2*o**2 - 3*o + 2 Collect the terms in 18 - 9*j + 4*j + 16*j + 6*j**2 - 11*j. 6*j**2 + 18 Collect the terms in 13*t - 390109 - 1148108 - 1398757. 13*t - 2936974 Collect the terms in 39*f + f - 25147*f**2 - 21*f - 19*f. -25147*f**2 Collect the terms in -123*s - 118*s - 87*s + 4*s + 386*s. 62*s Collect the terms in 599*v**2 - 443*v**2 - 292*v**2 - 714*v**2 - 786*v**2. -1636*v**2 Collect the terms in -16403*v**3 + 515456*v**3 - 45525*v**3. 453528*v**3 Collect the terms in 2*z - 2*z - 100785*z**2 - 128527*z**2. -229312*z**2 Collect the terms in 252*c**3 - 157*c**3 - 602*c**3 - 652*c**3. -1159*c**3 Collect the terms in -674662*y**2 - 3207*y**2 - 712112*y**2. -1389981*y**2 Collect the terms in -3341*t**2 + 4 - 5244*t**2 - 1 + 10866*t**2 - 5 + 1. 2281*t**2 - 1 Collect the terms in 64*f**2 - 54 - 37 + 47 + 44. 64*f**2 Collect the terms in 1458*l + 4279*l**3 - 744*l - 714*l - 4281*l**3. -2*l**3 Collect the terms in -1728 + 3*k + 0*k - 613 + 2*k. 5*k - 2341 Collect the terms in -213*o**2 + 283 - 1099 + 270 + 270 + 271. -213*o**2 - 5 Collect the terms in 4*b**2 - 5*b**2 - 16*b**3 - 130836 + 261668 - 130832. -16*b**3 - b**2 Collect the terms in -2286543*z**3 + 125*z**2 + 2286607*z**3 - 125*z**2. 64*z**3 Collect the terms in -521 - 544 - 204*p + 192*p + 1612 - 547. -12*p Collect the terms in -30450*f**2 - 22242*f**2 - 20348*f**2. -73040*f**2 Collect the terms in 105*j - 214115*j**2 - 105*j + 213612*j**2. -503*j**2 Collect the terms in -696407*p + 143 - 51 - 46 + 696400*p - 46. -7*p Collect the terms in -74*l + 2 + 362*l + 26*l**3 - 5*l**3 - 2. 21*l**3 + 288*l Collect the terms in 8904*d**3 + 4*d + d - 7478*d**3 - 5*d. 1426*d**3 Collect the terms in 1905 + 2*y - 947 - 959. 2*y - 1 Collect the terms in -22*t - 49*t + 2*t + 155*t + 66*t. 152*t Collect the terms in 42*u - 41 - 34 - 72*u + 45*u - 16*u. -u - 75 Collect the terms in 3347328 + 3347293 - 8*o**3 + 3347330 - 10041951. -8*o**3 Collect the terms in -23*j**3 + 6*j + 515 - 8*j - 13*j**3. -36*j**3 - 2*j + 515 Collect the terms in 557*z + 2227*z + 1530*z. 4314*z Collect the terms in -5806*a + 6 + 1 - 5813*a + 17414*a - 7 - 5800*a. -5*a Collect the terms in -11*c**2 + 5*c - 2 + 31*c**2 + 59*c**2 - 2*c. 79*c**2 + 3*c - 2 Collect the terms in 5*f + 3*f + 6 + 11*f - 1 - 11*f - 5*f. 3*f + 5 Collect the terms in 35*x**3 + 19433*x - 19433*x - 9*x**3. 26*x**3 Collect the terms in 1503051 - 30
{ "pile_set_name": "DM Mathematics" }
.95 - -0.15. Let b = o - 6.1. Sort 3, -6/7, b in increasing order. b, -6/7, 3 Let y = 215 - 1077/5. Let u be -2 - 14/8*-1. Let l = 0.11 - -3.89. Sort y, u, l in descending order. l, u, y Let d = 37/196 + 3/49. Let y = 0.1 + -0.6. Sort d, y, -2/7. y, -2/7, d Let u be (15/9)/(2/(-6)). Let z(x) = 2*x**2 - 3*x + 3. Let i(k) = k - 4. Let g be i(6). Let q be z(g). Sort -2, q, u in decreasing order. q, -2, u Let j = 7 - 2. Suppose v - 3*o + 9 = -4*v, 4*v + o = -14. Put j, v, 2 in ascending order. v, 2, j Let k(m) = -m**3 - 4*m**2 + 6*m + 3. Let o be k(-5). Suppose -25 = -5*a + b, -3*b = 5*a - 5 - 0. Suppose 3 + 7 = -2*y. Put o, a, y in descending order. a, o, y Suppose 0 = -t + 6*t - u + 11, 3*t + 4 = -2*u. Let z be 4/(-10) + (-18)/5. Sort z, t, -5 in descending order. t, z, -5 Suppose 10 = -3*j + y, -6*y + 8 = -4*y. Let b be ((-1)/2*j)/(-1). Let q be -1*(b - (2 + -5)). Sort -3, 1, q in decreasing order. 1, q, -3 Let x = 0.1 - 0.2. Let u = -88 - -90. Sort -0.3, x, u in ascending order. -0.3, x, u Let t = 50 - 51. Sort 5, 2, 1, t in increasing order. t, 1, 2, 5 Let u = 29 - 24. Put 2, -3, u in descending order. u, 2, -3 Let v = 2 - 2.1. Let k(u) = -u**2 + 5*u + 4. Suppose -2*s = -7*s + 25. Let x be k(s). Put -2, v, x in ascending order. -2, v, x Let k = -121 + 117. Sort -0.12, k, -2, 5 in increasing order. k, -2, -0.12, 5 Suppose -3*g - 5*i = -4, -4*g + 5*i = 2*i - 15. Put 1, 4, g, -2 in decreasing order. 4, g, 1, -2 Let j = -27 - -31. Sort 2, j, 6. 2, j, 6 Let t = -31/8 - -21/8. Let k = 1.14 + -1.2. Let b = 0.24 - k. Sort 2/3, b, t in decreasing order. 2/3, b, t Let v be (-6)/4*(-10)/15. Let l be (v/(-5))/((-4)/(-10)). Sort 3, l, -0.4. l, -0.4, 3 Let l(x) = x**3 + x**2 - x + 1. Suppose a + 3 = 4. Let t be l(a). Sort -1, 1, t in ascending order. -1, 1, t Let k be (2/(2/3) - 6) + 0. Suppose 0 = -2*a + 10 - 2. Sort -2, k, a in increasing order. k, -2, a Suppose -65 = 7*q - 16. Put 0, q, 1 in ascending order. q, 0, 1 Let x = -40/7 + 6. Let j(y) = -y**2 - 4*y + 1. Let r be j(-3). Put x, -0.5, r in ascending order. -0.5, x, r Suppose -2*u = -0*u - 2*l - 8, -2*u + 2 = -4*l. Let q(s) = -s**2 + 5*s + 9. Let g be q(u). Sort -4, -2, g in decreasing order. -2, -4, g Let r = 38.995 + 0.005. Let o = r + -45.6. Let z = o - -7. Put -2, z, -1/4 in descending order. z, -1/4, -2 Let b = 19 + -23. Sort 0, 0.06, -0.1, b in descending order. 0.06, 0, -0.1, b Let v(c) = c**3 + 8*c**2 - c - 5. Let r be v(-8). Suppose 4*a - 2*m + r + 15 = 0, 4*a - m = -15. Sort 5, 1, a in ascending order. a, 1, 5 Suppose 5*z = -2*x - 1 + 5, 2*z + 3*x = 6. Let a be -6*((-14)/(-4))/(-7). Sort 2, a, z in decreasing order. a, 2, z Let v = 3 + 2. Suppose -y - 6 = -5*u, 0 = 5*y - 4*u - u - 10. Suppose 0 = h + y. Put h, v, 1 in decreasing order. v, 1, h Let b = 0.14 - -8.86. Put -4, -2, b in decreasing order. b, -2, -4 Let j = 19 - 18. Sort 3, j, 14. j, 3, 14 Let n be ((-4)/14)/(4 - 2). Let m = 148 + -232. Let v be 14/77 - m/22. Sort v, n, -0.2. -0.2, n, v Let c = -12.79 + -0.21. Let w = c + 11. Sort w, -4, 5. -4, w, 5 Suppose 2*x - 4*n + 4 = 0, 2*x + 3*n - 12 = -x. Let i = 55 - 50. Put x, i, -2 in descending order. i, x, -2 Let v(j) = j**3 - 6*j**2 + 6*j - 2. Let h be v(5). Suppose -3*w - h*g = -3, -w = -3*w + 3*g - 13. Let l be 2 - 0/(-3 + -1). Sort w, 5, l in descending order. 5, l, w Let v be (4/(-6))/((-30)/9). Let k(q) = -q**2 + 11*q + 7. Let z be k(12). Sort 4, v, z in decreasing order. 4, v, z Let a = -26 - -28. Sort a, -6, 1, -5 in ascending order. -6, -5, 1, a Let a = -52.5 - -40. Let h = a - -12. Let o = -0.05 + 5.05. Put o, h, 1/11 in decreasing order. o, 1/11, h Let c = -56.2 + 56. Sort 0.07, -1/2, c in descending order. 0.07, c, -1/2 Let q be (-242)/110 - (-1)/5. Sort q, 0.5, 2/7 in descending order. 0.5, 2/7, q Let n = 7 + -8. Let s(r) = -2*r + 5. Let b be s(4). Put 0, b, n in increasing order. b, n, 0 Let h be (3/(-2))/((-3)/4). Suppose 0 = -5*j + h*j + 6. Sort 4, 3, j in descending order. 4, 3, j Let g = 8 + 28. Put -0.1, g, -1 in increasing order. -1, -0.1, g Let n = -14 + 9. Let v be (-51)/(-90)*-2 + (-20)/(-150). Sort n, -3, v in decreasing order. v, -3, n Let k = -5 + 4.98. Let l = k - -0.01. Let a = l - -0.31. Put -5, a, -0.1 in descending order. a, -0.1, -5 Let j = 1 + -0.8. Let u = -99 - -98.7. Sort -3, u, j in descending order. j, u, -3 Suppose -5*a + 2 = -4*a. Sort a, -7, -3 in ascending order. -7, -3, a Let k = -40 - -206/5. Sort -4, 3, k. -4, k, 3 Let i = -0.07 + 5.07. Sort 3, 2/3, i. 2/3, 3, i Let r(o) = -o - 13. Let u be r(-13). Sort -3, 5, u in increasing order. -3, u, 5 Let l be (0 - 1) + (-2 - -3). Let a be (12/(-20))/((-4)/(-5)). Sort l, -3, a in increasing order. -3, a, l Let m be 4 + -5 + (1 - 3). Let l(p) = p**2 + 7*p + 3. Let s be l(-6). Let t = s - -1. Sort t, m, 5 in descending order. 5, t, m Let g = -0.057 + 0.057. Let s = -4 - -7. Put g, s, 2 in increasing order. g, 2, s Let j = -67 + 69. Suppose -a - 2 = 2*z, -4*a + 0*z = 2*z + 8. Sort a, 1, j in descending order. j, 1, a Suppose 2*p + 0*p + 10 = 0. Suppose 3*z + 2*z = -5*y - 15, 0 = -3*z - 9. Let s(q) = -q - 1. Let r be s(-4). Sort r, y, p in descending order. r, y, p Let u(t) = -t**2 + 3*t - 4. Let p be u(2). Put -1, -4, p in descending order. -1, p, -4 Let w = 17 - 10. Let u = 5.4 + 2. Let a = w - u. Sort 0.3, a, -4/9. -4/9, a, 0.3 Let u = 1.8 + 3.2. Sort u, 0, -0.4 in increasing order. -0.4, 0, u Suppose -4*g + u + 18 = 0, g - 2*g - 6 = 5*u. Suppose 3*x - g = 2. Suppose 0 = -3*o + 6, -b + 0*b = -o - 2. Put 0, b, x in increasing order. 0, x, b Let o be 3/6*-2*3. Sort o, -0.11, 3 in ascending order. o, -0.11, 3 Let f = 9.03 - 0.03. Sort -5, -4/3, f in decreasing order. f, -4/3, -5 Let b(c) = 2 + 29*c + 1 - 5 - 30*c. Let g be b(-6). Let a = 794/9 + -88. Put g, a, -0.5 in increasing order. -0.5, a, g Let a be (-3)/5 + (-115)/(-25). Put a, -2, -3 in decreasing order. a, -2, -3 Let k = 5.62 + -5.6. Put 3, k, 1/4 in ascending order. k, 1/4, 3 Let w = 0.35 - -0.15. Let l = 2.2 + -3. Let u = -1 - l. Put 0.1, w, u in decreasing order. w, 0.1, u Let o = 21.29 - 0.29. Let t = 25 - o. Sort t, 1, -0.3 in ascending order. -0.3, 1, t Let t = 17 - 14. Put 2, 1, t in descending order. t, 2, 1 Let x = 7.4 - 7. Let p = x - -2.6. Sort 2, -2/3, p in decreasing order. p, 2, -2/3 Let p(o) = -o + 1. Let b be p(-1). Let z be -1 - b*(-1)/2. Suppose 0 = 2*n - 2*x - 8, z = -5*n - 3*x + x - 1. Sort 4, 3, n in increasing order. n, 3, 4 Let a = -13 - -13. Let z = 5 - a. Sort z, 4, -1/2. -1/2, 4, z Let y be 6*(-1 - (-12)/9). Suppose 2*o = -6 + y. Suppose 2 + 0 = 2*t. Sort o, t, 3 in decreasing order. 3, t, o Let v be (-9)/(-12)*(-5)/(5/4). Sort -1, v, -4, 4 in descending order. 4, -1, v, -4 Let q = 5.4 - 0.4. Let b be 5/((-3)/(-6)*-2). Sort q, b, -3/5. b, -3/5, q Let k = -20 + 20. Sort 6, -3, k in decreasing order. 6, k, -3 Let d be 1/((2/(-4))/(-1)). Let r be (8/(-32))/(d/12). Put -1, r, 5 in decreasing order. 5, -1, r Let r = 26 + -29. Put r, 5, -4, -1 in ascending order. -4, r, -1, 5 Let c be (-63)/(-84)*(3 + 1). Sort c, -3, 0. -3, 0, c Suppose 19 + 1 = 2*y. Suppose 5*p + 0 = y. Put p, 0, -4 in ascending order. -4, 0, p Let l = -0.46 + 0.06. Let q = -29 + 51. Let d = -200/9 + q. Sort l, -0.2, d in decreasing order. -0.2, d, l Let i = -0.3 - -0.8. Put -1, i, -0.5 in increasing order. -1, -0.5, i Let i = 0 + 0. Sort 1, -4, i. -4, i, 1 Let j = 40 - 43. Sort j, 1, 5. j, 1, 5 Let i be -1*(-13)/(-1*1). Let a = -8 - i. Suppose -5*g - 5*k - 22 = -g, 0 = 3*g + 5*k + 19. Sort a, g, 2 in increasing order. g, 2, a Let a(m) = -m - 7. Let b be a(-6). Let s = 408 + -405. Sort 7, s, b in increasing order. b, s, 7 Let b = 28 + -23. Put -3, b, -1 in ascending order. -3, -1, b Suppose -b = 0, 0*k + 2*k - 5*b = 30. Suppose 6*v - k = 3*v. Put -3, 2, v in increasing order. -3, 2, v Let o = 3/10 + -1/20. Let r = 1.36 + -0.26. Let n = 0.1 - r. Sort o, -2/3, n in decreasing order. o, -2/3, n Suppose 3*g = 4*z + 6*g + 7, -z - 4*g + 8 = 0. Put -1, -2, z in decreasing order. -1, -2, z Let u be ((-50)/(-4))/(-5)*-2. Sort -6, -1, u in decreasing order. u, -1, -6 Let c(m) = -1. Let t(b) = 2*b + 6. Let x(d) = -5*c(d) - t(d). Let r be x(-3). Let u = 98 + -94. Sort r, u, -5 in ascending order. -5, u, r Let v = 0.67 + -0.07. Let x = 1 - v. Sort -0.3, 0.3, x in
{ "pile_set_name": "DM Mathematics" }
pose 8*h - 3*h - 60 = 2*r, -3*h + 2*r = -36. What is the remainder when m/(-10) - (-3)/(-15) is divided by h? 10 Suppose 9 = 4*v - 7. Suppose 0 = v*k - 4*i - 56, -2*k - 26 = -5*k - 5*i. Suppose -6*l + 21 = -3*l. Calculate the remainder when k is divided by l. 5 Let w(c) = -c**3 + 7*c**2 + 8*c - 22. Suppose 2*x = 5*g + 4 - 0, 4*g = x - 2. Suppose -42 = -x*r - 0*r. What is the remainder when w(6) is divided by r? 20 Suppose -4*n - d + 7 = 0, -4*n + 0 = -3*d - 11. What is the remainder when 4 is divided by n? 0 Suppose -a - 2 = -33. Suppose -2*q + a = 3. Calculate the remainder when 40 is divided by q. 12 Let c(t) = -t**3 + t**2 + t + 13. Calculate the remainder when 64 is divided by c(0). 12 Let i be ((-6)/4)/(2/(-72)). Let v = 76 - i. What is the remainder when 65 is divided by v? 21 Suppose -81*t + 84*t = 15. Calculate the remainder when 63 is divided by t. 3 Let g(n) = -3*n**2 + 19*n**2 + 2 - 1. Calculate the remainder when g(1) is divided by 6. 5 Let v be (-3 + 0 - -6)*1. Suppose -100 + 286 = v*x. Calculate the remainder when x is divided by 21. 20 Suppose 0 = 3*q + 27. Let t be q + 7 - 2*-2. Suppose t*s + 56 = 3*s. Calculate the remainder when s is divided by 19. 18 Let z(x) be the third derivative of x**6/120 - x**5/15 - x**4/12 - x**3/3 + x**2. What is the remainder when -2 + 2 + 36 + 1 is divided by z(5)? 11 Suppose 0 = -3*k - 6 + 33. What is the remainder when 125 is divided by k? 8 Calculate the remainder when (9/1)/(4/24) is divided by 14. 12 Let v be (0*2/6)/(-1). Suppose v = -2*f + 6*f - 96. Calculate the remainder when f is divided by 13. 11 Suppose -1 = 3*m - 2*m. Let z = m + 15. Suppose h = 4*b - 107, b - 20 = -h - h. Calculate the remainder when b is divided by z. 12 Suppose -4*s = -2*s - 58. What is the remainder when s is divided by 10? 9 Let k be (4 - 1) + (-5 - -1). Let a = -5 + 10. Calculate the remainder when 16 + (k + -2 - 0) is divided by a. 3 Let r = -9 + 34. Calculate the remainder when 73 is divided by r. 23 Suppose b - 40 = -3*b. Let y = b + -6. Suppose -2*u = -3*j - 6*u + 49, y*u - 11 = -j. What is the remainder when j is divided by 10? 9 Suppose -4*m = 16, 0 = s - 2*s - 3*m. What is the remainder when s is divided by 9? 3 Calculate the remainder when (-342)/(-12) - 2/(-4) is divided by 15. 14 Let m = 27 - 23. Calculate the remainder when 5 is divided by m. 1 Let d = 10 - 6. Suppose -4*t = d*l - 6 - 18, 5*t + 12 = l. What is the remainder when 13 is divided by l? 6 Let m(q) = q**3 - 6*q**2 + 5*q + 11. Let x = 11 - 7. What is the remainder when m(5) is divided by x? 3 Let d(j) = j**2 + 2*j - 2. Suppose -3*z + 4 = -4*z. Let w be d(z). Calculate the remainder when 26/1 + w + -7 is divided by 7. 4 Suppose 5*w + 67 = 427. Suppose -3*j = -12, -1 = 3*b + 5*j - w. What is the remainder when 50 is divided by b? 16 Suppose -4*t + 4 = -80. What is the remainder when 81 is divided by t? 18 Let t(n) = -n**2 - 3*n + 2. Let i be t(-2). Suppose 3*s - 4*s = -i*k + 15, -5*s = -3*k - 10. Let y = 3 + -1. Calculate the remainder when s is divided by y. 1 Let a(p) = 6 - 2*p**2 - 9*p + 4*p**2 - p**2. Let x be a(8). What is the remainder when 2 is divided by (-3)/x + (-2)/4? 0 Let u = 80 - 55. Let j = 23 + -16. Calculate the remainder when u is divided by j. 4 Suppose -t + 29 = -i + 7, -t - 4*i = -37. Calculate the remainder when t is divided by 14. 11 Let i be -2 - -1 - 3/3. Let g(k) = -3*k**3 + 4*k**2 + 3*k + 1. What is the remainder when g(i) is divided by 9? 8 Let p = 0 - 3. Let v(m) = m**2 + 3*m - 3. Let i be v(p). Calculate the remainder when ((-46)/i)/2*3 is divided by 12. 11 Let v(c) = -3*c - 6. Let t(u) = 2*u**2 - 6*u + 6. Calculate the remainder when t(5) is divided by v(-5). 8 Let y(s) = -s**2 + 19*s + 8. Calculate the remainder when y(19) is divided by 2. 0 Let b = 2 - 1. Let v be (0 - (0 + b)) + 6. Suppose 0*z = v*z - 10. Calculate the remainder when z is divided by 1. 0 Let p(k) = -26*k**2 - 3*k + 2. Let a be p(1). Calculate the remainder when 25 is divided by (-2 - -44)*(-9)/a. 11 Calculate the remainder when 27 is divided by (0 - -3) + (-6)/(3 + -5). 3 Let u(r) = -r**2 - 11*r + 7. Let v be u(7). Let j = v + 196. Suppose 0 = -3*w + 224 - j. What is the remainder when w is divided by 17? 15 Suppose 3 = -3*y, -13 - 10 = -5*u + 3*y. Suppose -3*k + k = -3*g + 37, 3*k = 3*g - 33. What is the remainder when g is divided by u? 3 What is the remainder when 4/((-48)/(-21) - (0 + 2)) is divided by 4? 2 Let k = -1 - -1. Suppose -3*t - a = -k*a - 128, -t - 2*a = -51. Suppose h = -2*h + 42. Calculate the remainder when t is divided by h. 13 Let a(u) = u - 4. Let s = 0 + 6. What is the remainder when a(s) is divided by ((-1)/(-3))/((-1)/(-3))? 0 Let b(y) be the second derivative of y**5/20 - 5*y**4/12 + 5*y**3/6 - 3*y**2/2 - 19*y. Let k = -5 + 10. What is the remainder when b(k) is divided by 12? 10 Let o = 7 - 2. Suppose -12 = -o*v + 3. Calculate the remainder when 6 is divided by v. 0 Let u = -37 - -74. Suppose -2 = -v - 25. Let y = v - -42. What is the remainder when u is divided by y? 18 Let d = -9 - -40. Let z = 10 - -1. Calculate the remainder when d is divided by z. 9 Calculate the remainder when 140 is divided by (-4)/((-3)/12*(-3)/(-9)). 44 Let r(h) = -3*h + 19. What is the remainder when 5 is divided by r(5)? 1 Let p = 7 - 35. Let k be (-2)/(-7) + (-48)/p. Suppose -x - 56 = -4*v - 4*x, 5*v + k*x = 63. Calculate the remainder when 21 is divided by v. 10 Suppose 4*s + 4*o - 64 = 0, 5*s = 5*o + 16 + 24. What is the remainder when 33 is divided by s? 9 Calculate the remainder when 16 is divided by 6/(-24) - 41/(-4). 6 Let a(m) = m**3 + 7*m**2 + 8*m + 4. Calculate the remainder when a(-5) is divided by (-4)/(-10) + (-152)/(-20). 6 Let y = 130 + -74. Calculate the remainder when y is divided by 12. 8 Let i be (-2)/10 - 362/(-10). Suppose 2*s + i = 3*f - 12, 3*s = -4*f + 81. Calculate the remainder when 69 is divided by f. 15 Let n(f) = f**2 + 7*f + 6. What is the remainder when n(-7) is divided by 3? 0 Suppose -k - 10 = -b, -2*b = 4*k - 7*k - 24. Calculate the remainder when 23 is divided by b. 5 Suppose -35 = -4*y + 57. Let a = -10 + y. Calculate the remainder when 37 is divided by a. 11 Suppose 0*m + 5*m - 125 = -4*a, 0 = m - 3*a - 25. Calculate the remainder when 98 is divided by m. 23 Calculate the remainder when (-10 - -12)*((-78)/(-3) + 0) is divided by 14. 10 Suppose -43*c + 34*c = -99. Let k(v) = 2*v + 6. Let m be k(6). Calculate the remainder when (2 - 1) + 1 + m is divided by c. 9 Let u be (-3)/3 - (-1 + -126). Suppose 14*r = 17*r - u. What is the remainder when r is divided by 11? 9 Let w(d) = d + 3. What is the remainder when 32 is divided by w(6)? 5 Let d = 8 + -5. Suppose 0 = -3*f - 1 + 10. Suppose -f*b - d = -12. What is the remainder when b is divided by 2? 1 Let n(c) = -c**3 + c - 2. Let y be n(-2). Suppose 8 = y*z, -37 = -4*g - 4*z + 75. Calculate the remainder when g is divided by (-124)/(-9) - 4/(-18). 12 Let k = 182 - 165. What is the remainder when k is divided by 7? 3 Suppose -2*g = -5*g + 2*r + 26, g - 14 = 2*r. What is the remainder when 4/10 + (-33)/(-5) is divided by ((-14)/g - -3)*6? 3 Let f = 85 + -83. Calculate the remainder when ((-10)/(-8))/(2/8) is divided by f. 1 Let k = -658 + 932. What is the remainder when k is divided by 25? 24 Let p = -6 + 13. Calculate the remainder when p is divided by 5. 2 Suppose -4*t = -2*d + 102, 2*t = -3*d + 6*t + 145. Calculate the remainder when d is divided by 11. 10 Let x(z) = z**3 - 8*z**2 + 6*z + 8. Suppose -8 = 3*v - 4*f + 2*f, 4*v - 3*f = -12. Suppose -2*u + v = -2. What is the remainder when x(7) is divided by u? 0 Let t(p) = 3*p + 7. Let l(w) = w + 2. Let r(z) = 14*l(z) - 4*t(z). Let o be r(5). Let k = o + -2. What is the remainder when k is divided by 5? 3 Let g(x) = -5*x**3 - 3*x**2 + 4*x - 3. Let k be g(2). Let t = -73 - k. Calculate the remainder when 15 is divided by t/(-2) - 3 - 2. 7 Let u(m) = 3*m**2 - m + 7. Let v(h) = -h - 1. Let j(k) = -u(k) - 4*v(k). Let n be j(3). What is the remainder when 4 is divided by 3/((-9)/n) + -2? 1 Suppose -3*p + 4*k = -24 + 6, 2*k = 3*p - 12. Suppose 10*v = 5*v + p*d + 43, 2*d - 2 = 0. What is the remainder when v is divided by (-2 + 1 + 2)*4? 1 Let q(j) = 26*j**3 - j + 1. Let x be q(1). Let c = -7 + x. Let v = 122 + -
{ "pile_set_name": "DM Mathematics" }
Solve 11 = -2*g + s, j = -2*g - 6*s + 4*s - 8 for g. -5 Suppose -4*v + 26 = -2*s, -s = -6*s - 15. Solve -b + v*z - 32 = -5*b, 2*z = -4*b + 20 for b. 3 Let y = -88 - -185. Let a = y + -43. Let l = 84 - a. Solve 3*s = s - 10, -n = -5*s - l for n. 5 Let w = 2237 - 2217. Solve -5*x - w = -5*j, 5*x - 10*x = 5 for j. 3 Let j(f) = f**3 + f**2 - 2*f - 2. Let i be j(-2). Let b be i*((-180)/8)/3. Let k = b + -15. Solve k = 5*v, 5*h = -2*v + 5*v for h. 0 Let c be 6/((-60)/(-25))*2. Suppose d - c*d = -d. Solve d = r - 4, v + 3*v - 24 = -3*r for v. 3 Let a be (0 - -5) + 0/1. Let g = 32 - 54. Let u = 24 + g. Solve -16 = a*r + u*q, -r + 4*r + 12 = -2*q for r. -2 Let k = -22 - -26. Solve 19 = -k*m - 6*l + 3*l, 0 = 3*m - 3*l + 9 for m. -4 Let g be 1664/(-40) + (-4)/10. Let f = -39 - g. Solve 2*p + 6 = -f*a - 5, -3*p = -a + 11 for a. -1 Suppose -246*b = -252*b + 12. Solve -2*n - b*z = -2, -3*n - 2*n + 2 = 2*z for n. 0 Let v be 6 + (-35)/28 + (-3)/(-12). Solve -5*x + 4*c = -24, -5*c = x + v - 4 for x. 4 Let n be (0*3/(-15))/(-2 - -4). Solve -3*s + 4*z - 30 = 2*s, 3*s - 3*z + 21 = n for s. -2 Let t(n) = 2*n - 21. Let l be t(14). Suppose i - l = -4. Suppose 2 = 3*d - 4. Solve i*f - 5 = d*m, -2*m + f = -0 + 3 for m. -1 Suppose -31 = -12*y - 7. Solve -3*h = -y*n + 3 + 2, 2*h - n + 4 = 0 for h. -3 Suppose -2*f - 109 = -99. Let v be (-72)/(-45) - -1*(-2)/f. Solve c = -d - v, -3*d - 11 = c - 1 for c. 2 Suppose 5*g - 4*x + 7 + 13 = 0, 0 = 4*g - 2*x + 10. Suppose -6*u - 4*u = 2*u. Solve -3*t - 3 = -g*t, u = 5*a - t - 26 for a. 5 Suppose 2*f + 2 = h, -8*f + 7*f = 3*h - 6. Solve -4*u - 5*k = 20, u + 0*k = -h*k - 5 for u. -5 Suppose 2*j = -2*j + 20, -3*i + 4*j = 32. Let y be (30/(-35))/(i/14). Let p(o) = -o**2 - 4*o - 1. Let f be p(-3). Solve -2*s + 0*m = m, f*s - y*m = -8 for s. -1 Let b(s) = s**2 - 6*s - 5. Let n = -79 - -86. Let v be b(n). Solve 0 = -3*w + 2*a - 25, -5*w + 0*a = v*a + 15 for w. -5 Suppose -w + 1326 - 1324 = 0. Solve 0 = d + 5*f - 9, 4*f = w*d - 5 + 1 for d. 4 Suppose -86*d + 72 = -50*d. Solve -3 = -d*h - j, -2*h + 15 = 3*h + 4*j for h. -1 Let p(t) = t**2 - 7*t - 4. Let n be p(8). Suppose -9*u + n*u = -225. Solve -5*o - u = 5*r, 0*o - 20 = 5*o for r. -5 Let k(u) = u**2 - 4*u - 7. Let l be k(6). Suppose -s = l, -4*v = s - 0*s + 1. Solve 5*n + v = -t, -n + 3*t - 3 = 10 for n. -1 Suppose -m = -5, 6*m - 10 = 2*s + 2*m. Suppose -5*n - s*u + u = -94, -5*u = 5*n - 95. Solve -4*x - z = 2*z - 31, n = 2*x + 2*z for x. 4 Let g(d) = 13*d + 2. Let x be g(1). Suppose -2*m + 5*m - 3*r = x, -2 = -4*m - 2*r. Solve -2*o + 4 = -4*a + 22, -2*a + 6 = m*o for a. 4 Let l be 1/5 + (-62)/10. Let m be 2 + -1 + l/(-2). Suppose 4*q = 5*n - 2, -5 + 1 = -m*n + 2*q. Solve o - 6 = k, 6 = -5*k + n*o - 15 for k. -3 Suppose -2*t - 3 = 4*u + 1, -4*u = t + 6. Suppose 0 = t*j - p + 2, -4*j + 7 = p - 1. Solve y = -j + 3, 8 = -3*x + 4*y for x. 0 Let o be 0 + (-2 - -3) + (4 - 0). Let w be (o - 5)/(-1 - -4). Solve -5*t + m = 32 - 7, 2*m - 10 = w for t. -4 Suppose 0 = -4*q - 397 + 417. Solve d - q*u = -0*u - 17, 0 = 4*d + 2*u - 20 for d. 3 Let v = 201 + -196. Solve y = -0*m + v*m - 9, -3*y = 3*m - 9 for y. 1 Suppose -2 = -x + 3*g, 4*x - 9*g - 8 = -8*g. Solve -x*z = -2*o - 12, -22 = -2*z + 5*o + 2 for z. 2 Suppose -4*k + 19 = -41. Suppose 0 = t - 13 - k. Let y = -16 + t. Solve -4*n + 8*n = 4*a + y, 0 = -3*n for a. -3 Let t = 26 - 0. Let o = -23 + t. Solve r = -5*x - 5, -2*r - o*x = -3*r - 5 for r. -5 Suppose -3*j - 34 = -250. Suppose -l + v + 134 = 3*l, 2*l - j = 3*v. Let c = -27 + l. Solve -2*f - a - 2 = -3, 4*f - 2*a - c = 0 for f. 1 Let g(m) = m**3 + m**2 - 10*m - 4. Let z be g(-4). Let b be (30/z)/((-5)/4). Solve 3*t - 11 = 4*s, 3*t = b*t - 4*s - 7 for t. 1 Suppose 12*j + 12 = 15*j. Let s be (1 + (-15)/18)/(j/24). Solve -2*x + x - s = -b, 0 = -x + 5*b + 3 for x. -2 Let d be (-1)/(0 + 1/(-3)). Suppose -i = -d*i + 12. Let o be (-3 - 0)*(36/27 + -2). Solve -3*u = 3*k + 9, u + o*k = i*k - 13 for u. -5 Let k be ((-5)/10)/((3/(-4))/3). Let j be k*(8/(-4) + 3). Solve -q + 1 = j*a, 2*a - q = 3*q + 6 for a. 1 Let y(o) = 9*o - 7. Let t be y(7). Let f = 60 - t. Solve f*u + 15 = -l, u - 11 = 4*l - 2 for u. -3 Suppose -5*j - 14 = 2*u, -265*j = -263*j + 8. Solve 6*t + 3 = 9*t, -t - u = p for p. -4 Suppose -4*f = -14 + 14. Suppose -t + 3*z - 5 = f, -2*t - z = -4*t. Solve 4*r = 2*u - 6, -u - 5*r + 9 + t = 0 for u. 5 Let a(i) = 8*i**2 + i. Let l be a(1). Let n = 3 - l. Let r = -2 - n. Solve 4*j - r*f = -j + 25, 5*f = 0 for j. 5 Suppose -9*v = -26 - 19. Suppose v*r = 3*l + 9 + 6, -3*r + 9 = -4*l. Suppose r*a = -3*a. Solve 3*s = -4*g - 12, 2*s + 0*g + g + 8 = a for s. -4 Let x = 42 - 45. Let p be 4*x/(-12) - -4. Solve 0 = p*i, -f = -6*f + 2*i for f. 0 Suppose 29*z - 28 = z. Solve -3*m - z = -o - 8, 5*m + 2*o = -3 for m. 1 Suppose 2*i + 5*c - 47 + 20 = 0, 3*i = -5*c + 33. Solve -11 = -4*m + q, 2*m - i*q = -2*q + 16 for m. 2 Let w(m) = 2*m + 42. Let s be w(-19). Let t = 0 + s. Solve -4*v - v + 5*g + 10 = 0, -t*v + 8 = -3*g for v. 2 Let q(f) = -24*f + 51. Let v be q(2). Let u be -25 + (-2)/(-2 - 0). Let c be (u/9)/(4/(-6)). Solve -v*o - 10 = 2*a, -2 + 22 = -4*o - c*a for o. 0 Let p be 8/((-32)/176 + 48/22). Solve 5*g = p*j - 7, -5*j - 5*g = -4 + 29 for j. -2 Let k be (-6*(-2)/(-20))/(2/(-10)). Let g(a) = -a + 10. Let u be g(10). Suppose -12 = -4*r + p + p, p = u. Solve -2*c + r*c - 4 = 3*z, k*c = z - 12 for z. -3 Let d be 72/(-36) + 3/((-6)/(-20)). Solve 4*t - d = 5*m, 2*t - 5*m = 6*t + 32 for t. -3 Let r be (2*(-10)/(-8)*2)/1. Suppose -3*h + 17 = -g, 0 = -r*h + 3*g + 31 + 4. Solve -3*j = -5*c - 5, 0 = 5*c - c + h*j - 28 for c. 2 Suppose -16*w - 180 + 260 = 0. Solve n - 4 = 4*y + 3*n, w*y - n = 9 for y. 1 Suppose 4*l = -5*t + 32, -3*t = 5*l - t - 23. Suppose 0 = -3*i - l + 12. Suppose -4 = -i*w + 5. Solve -5*d + 4*x = -45, d - 2*x - w - 12 = 0 for d. 5 Suppose -a = 2*b + 6 - 60, -4*b - 4*a + 100 = 0. Let k = -24 + b. Solve 5*c - 10 = 0, -k*l + 2*l - 7 = c for l. -3 Let u = 101 + -98. Solve -4*m = 6*q - q + u, 0 = 4*q + 12 for m. 3 Let h be 195/26*3/((-45)/(-10)). Solve -3*c = 3*k + 2 + 1, 0 = -c + k + h for c. 2 Let u be ((-2)/(-2) + -2)*(-9 - -4). Solve 7*a - 3*a - 11 = -u*y, 0 = 2*y - 3*a + 14 for y. -1 Let i(z) = -z**2 - 3*z + 6. Let x be i(-4). Suppose -x = -3*p + 2*p, 3*o - 3*p - 9 = 0. Solve 0 = -4*d - 5*r + 25, -o*d - 8 = -2*r + 2 for d. 0 Suppose 2*p = -3*p + 40. Suppose 3*a - a = p. Solve a*b - 2*q = 10, 4*q - 8 = -b - q for b. 3 Let u = -122 + 122. Solve k - 2*b = -0*k - 11, -2*k + 3*b - 18 = u for k. -3 Suppose 18 + 7 = -p. Let y = 37 + p. Solve 0 = -4*q - y, -2*u + 3*q = -2 + 1 for u. -4 Suppose f - 13*x - 14 = -15*x, 15 = 5*f - x. Let p(t) = t + 10. Let g be p(0). Solve f*w + 0 = -2*b + g, 5*w = 3*b + 7 for w. 2 Suppose 0 = 2*r - 0*u - 5*u + 132, 4*r = -2*u - 312. Let x = r + 80. Solve -2*o = -2*y - x, 0 = -o - 3*o + 2*y for o. -2 Let m(x) = -10*x + 260. Let w be m(24). Solve -3*u + 0 = 3*b - 24, 0 = -4*u + w for b. 3 Suppose -47 = 4*u + h, -3*h = 2 - 5. Let g = u + 17. Solve q = -0*y - y - 3, g*y - 4*q + 15 = 0 for y. -3 Let d be 1*(6 - 2) + 1. Suppose -2*c - 2 = -2*m, -d*m + 4 = -2*m - 2*c. Solve 0 = 5*w + 4*h - 5, -m*w - 5*h = 2*w + 5 for w. 5 Let v be ((-1 - 0) + -2)/(-1). Suppose 0 = v*y + 2*y. Solve 0 = -2*h - d + 2, -2*h + y*h = -2*d - 14 for h. 3 Let j be (-60)/390 - (-134)/26. Suppose -11 = -5*x + j*g + 14, -5*g = 3*x - 15. Solve -3*p - 5*y - 18 = -x*p, -4*y + 8 = 4*p for p. 4 Let u(f) = f**2 - 4*f + 4. Let o be u(4). Suppose -95 = -o*r + 4*g + 13, 2*g + 123 = 5*r. Solve 0 = 3*z - 6*z - 4*v - r, -4*z - 26 = 3*v for z. -5 Suppose -v + 48 = v. Let n = 158 - 88. Let z = 75 - n. Solve -4*g = 2*y - v + 2, 0 = -z*y + 5*g - 5 for y. 3 Suppose -10*t + 93 = 93. Let r be (-1 - 1) + 0 + 4. Solve 3*d + t*d + 2*c = 12, -r*c = -4*d + 16 for d. 4 Let b(h) = -2*h - 16. Let y(i) = -2*i - 17. Let f(g) = 2*b(g) - 3*y(g). Let o be f(-9). Let v = o + 2. Solve -3*n = -2*n + 4*p - 7, -3*p = -v*n - 9 for n. -1 Let n = 23 + -18. Let j = 16 - 3. Suppose 0 = -4*b + 3 + j. Solve 0 = -5*l + 3*m + 13, 0*l - b*m + 6 = n*l for l. 2 Let z(g) = g**3 + 5*g**2 + 6*g + 5. Let n be z(-5). Let h = n - -7. Let i = -14 - h. Solve 2*l + 2 = 5*p - 4, 0 = i*l - 8 for p. 2 Let m be ((-4)/26 + (-657)/(-468))*4. Solve l - 2*l + 11 = 2
{ "pile_set_name": "DM Mathematics" }
-3288/12551 + 30/163. Which is smaller: a or b? a Suppose -3*u = 4*r + 3489, -20*u = -24*u - r - 4626. Are -1155 and u nonequal? False Let o = 4.67 - 472.67. Which is smaller: o or -2/5? o Let k(b) = -10*b + 861. Let n be k(86). Is n not equal to 2/5325? True Let t be 2 + 22/(((-8)/(-18))/(88/36)). Which is greater: 136 or t? 136 Let r = -159503/1120694 - -2/41001. Which is greater: r or 1? 1 Let r = -390 + 1559/4. Let n = 30 - 27. Let t = n + -3.034. Is t at most as big as r? False Let q = -56929/94942 - -133/222. Do 0 and q have the same value? False Let x(q) = -3*q**3 - 29*q**2 - 195*q - 138. Let p be x(-12). Is p at least 3212? False Let s = 124 + -68. Let c be (-1)/7*2 + (-110)/s. Suppose -2*t - t = 3. Is t greater than or equal to c? True Let k = 7/2717 + -323491/65208. Let h = k + 77/8. Let g = h + -79/15. Is 0 < g? False Let n be (11 + -2)*3*5/(-45). Let b = n - -7. Suppose b*w - 2*s = -12, 5*w + 4*s + 12 = 4*w. Is w bigger than -19/6? False Suppose -10*p - p - p = -0*p. Which is smaller: p or -1/3240? -1/3240 Let h = 463 - 136. Suppose -c = 322 - h. Is c smaller than 15/4? False Let u = -8.4 + -2.6. Let p = 229472/11 + -20860. Is p >= u? True Let y = 8134 + -8328. Which is smaller: y or -15? y Suppose -3*s = 0, 2*b + 2*s - 38 - 76 = 0. Suppose 0 = v - b + 51. Let q be (2/v)/(130/858). Which is greater: -1 or q? q Let f = 39 + -54. Let i be (-13 + -4 + 2)/(f/(-15)). Let u be 42 + i + (-2 - 1). Which is bigger: 23 or u? u Suppose -5*z + 15 = 0, 158*z = 5*n + 159*z + 2. Is -29/453 greater than n? True Suppose -13*j + 35 = -8*j. Suppose 9 + j = -4*q. Let t(w) = w**3 + 8*w**2 + 18*w + 20. Let x be t(-6). Is q less than x? False Let r = -8 - -9. Let s = -64 - -69. Suppose 6*x = -s + 11. Is r less than x? False Let k(r) = -r**2 + 68*r + 123. Let b be k(62). Which is bigger: 497 or b? 497 Suppose -3*a = -5*c - 139, 4*c - 170 = -11*a + 6*a. Let o be 165/(-99)*(a - -1). Which is bigger: o or -63? -63 Let c(a) be the second derivative of -a**4/12 + a**3/2 + 11*a**2 + 30*a. Let w be c(9). Let m = -28 - w. Which is smaller: 12 or m? m Let p be (4/(-54))/(1/60). Let w(q) = 7*q**3 - 6*q**2 - 4*q - 22. Let b(l) = 10*l**3 - 9*l**2 - 6*l - 33. Let k(i) = 5*b(i) - 7*w(i). Let x be k(4). Is p > x? False Let h = -10.53 + 10.6111. Let c = h - 0.1811. Which is smaller: -381 or c? -381 Let g(t) = 17*t - 450. Let h be g(39). Suppose 89*p - 97*p + 1712 = 0. Do h and p have the same value? False Let m(p) = 170*p**3 - 2*p**2 - p + 1. Let h be m(1). Suppose 0 = -8*n + 20*n + h. Is n at most -14? True Suppose 33*q + 1004 = 29*q - 5*a, 1250 = -5*q - 5*a. Let r be (-2 - 480/q) + 0. Is 0 >= r? True Let q be 52371/(-5) + (-240)/(-200). Which is greater: q or -10474? q Let m = -1357504/3250429 + 2/35719. Let q = -20/39 - m. Which is greater: -7 or q? q Let o = -36 + 8. Let r be 372/279*(-2)/4. Which is smaller: o or r? o Let f = -5984 - -17644/3. Let k = -30809/300 - f. Are k and 1 unequal? True Suppose 0 = -3*y - 4 - 203. Let p = y + 66. Is -4 != p? True Let f = 6844 - 6840. Is 881 at most f? False Let g be ((-2)/(-328))/(3/(-8)). Are 0 and g nonequal? True Let w = 5125.23 + -5090. Let m = -35 + w. Let x = -0.07 - m. Which is greater: -1 or x? x Let p = -22 + 127. Let o be (-2)/14 + p/(-1323). Is 0 >= o? True Let x = -8711 - -531355/61. Which is smaller: x or 0? x Let o(k) = -k**2 + 14*k - 13. Let s be o(13). Suppose 4*i - 29 + 5 = s. Suppose u = i*u. Which is smaller: 3 or u? u Let i = 2/817 + -857/16340. Are -0.19 and i nonequal? True Let l(c) = -3*c**3 + 2*c**3 - 121 + 99 - c**2 - c. Let m be l(0). Is -1/2 <= m? False Let i be -739 + (-30)/((-5)/1). Let w = i - -389222/531. Is 1 <= w? False Suppose 0 = 3*b + g + 6, 3*g + 15 = -2*g. Let j be ((-10)/6)/(55/(-99)). Suppose -j*a - 4*y = 8, -2*y + 3*y = -5*a - 36. Is b not equal to a? True Let n = -7951 + 7971. Let q(d) = d**2 - 19*d + 7. Let z be q(14). Let a be (32/12 - 3)*z. Are n and a unequal? True Suppose -4*m + 624 = -7*m - 3*o, -o = -6. Which is smaller: m or -201? m Suppose 9*f - 28 = 80. Let o be ((-2)/(-12)*-1)/(3/f). Is o less than -17? False Let w be ((2 + 5)/(-21 + 20))/2721. Which is bigger: 0 or w? 0 Let u = 5708 + -5955. Is u smaller than -1? True Suppose -2*h - 3*u + 5*u + 46 = 0, 39 = h + 3*u. Suppose -22*b - 162*b + 2560 = -2408. Is b < h? False Let c be (-26)/(-6) - 1/3. Suppose 3*j - o = 2*o + 24, 2*o = -3*j + c. Suppose -5*g = j*b + 24, g - 5*g = -b + 15. Which is bigger: 2 or b? 2 Let m be 162 + 99/(-72)*8. Which is bigger: m or -5? m Let v be (-2)/(-12) - (-9)/(-54). Suppose v = -13*q + 9*q + 4. Let l(z) = -z**2 + 2*z + 2. Let p be l(2). Which is smaller: p or q? q Let a = -15112 + 9311. Which is smaller: a or -1? a Suppose -2875 = 15*d + 4850. Let m be 18/12*(-10)/d. Which is greater: m or 0? m Suppose -4*t = -0*t + 308. Suppose 0 = 191*i - 3094 + 17801. Is i >= t? True Suppose 3*s - 12 = 2*w + 100, -2*s + 79 = 3*w. Suppose -6*x = -14 + s. Is x at most -6? False Let p = -56 - -31. Let m = p - -13. Let c = m - -11. Which is smaller: c or 5/2? c Let k = 4506 + -1274. Is k bigger than 3233? False Let p = -1919 - -44145/23. Let x = 9795 + -9796. Which is smaller: p or x? x Let o = 12519 + -12671. Which is smaller: o or -38? o Suppose -8*p + 174 = 13*s - 10*s, 0 = 2*p - 5*s - 32. Is p not equal to -4? True Let v(p) = 6*p - 15. Suppose -l + 4*x + 23 = 4*l, 3*l - 4*x - 9 = 0. Let w be v(l). Let q be (18/27)/(2/w). Is q at most 7? False Let g be (-1251)/(-10 - (-21)/3). Is g < 414? False Let p = 11276 + -13349. Is p less than 1/7? True Let u = 891/10 + -89. Let g = -13/30 + u. Let l = 119 + -597/5. Is l less than g? True Let r = 3749 - 3750. Which is smaller: r or -46/5? -46/5 Let s(w) = w**3 + 2*w**2 - 4*w + 1. Let c be s(-3). Suppose -18*l = -5*l + 104. Is c >= l? True Let j = 2506.074 - 2506. Is -3 <= j? True Let g = -2158/7 + 66856/217. Let p = -14 + 16. Suppose 3 = -p*n + 5*n. Is g <= n? True Let w = -2/3381 - 341477/6762. Is -52 greater than or equal to w? False Let o = 1255 - 1259. Is 61/15 > o? True Let s be ((-214)/3)/((-10)/210). Which is smaller: 1499 or s? s Let v = -0.9 - 0.1. Let p be ((88/(-8))/(-11))/((-2)/662). Let j = 296 + p. Is v != j? True Let v(x) = -2*x**2 + 49*x - 78. Let s be v(30). Let i = 470 + s. Are i and 62 non-equal? False Let i = -6671 + 6946. Which is smaller: 274 or i? 274 Suppose 0 = 3*v - 3*k + 6, 1 = v + 3*k + 11. Let j(l) = -14*l - 70. Let g(a) = 5*a + 23. Let s(n) = 8*g(n) + 3*j(n). Let i be s(-12). Is v < i? True Suppose 2*y = -7*y - 36. Let d(k) = -k**2 + 13*k - 9. Let m be d(12). Let r be 1 - m - (-18)/(-8). Is y bigger than r? True Let w = 8551/291935 - 6/8341. Let z = 4 - 3. Suppose 0 = -j - 0*j + z. Do w and j have the same value? False Let s = 2521 - 2463. Is s greater than 532/9? False Let x be (32 - 2)/(-6) + -2 + 1. Which is bigger: -220/47 or x? -220/47 Let i = 18.3 + -18.445. Let c = i - -0.045. Which is smaller: 0.013 or c? c Suppose 8*o = x + 4*o - 720, 0 = 4*x - 3*o - 2867. Let j be x/(-30) - (-2 + 8/6). Let u = j + 26. Which is greater: u or 3? 3 Suppose 63604*y - 63624*y - 200 = 0. Suppose -4*k + 16 = -0, -2*f - 4*k = 10. Which is bigger: y or f? y Let j be 15/12 + 3/(-12). Let t be (1 + 50 - -2)/j. Let m(d) = 32*d**2 + 21*d + 1. Let n be m(1). Which is smaller: n or t? t Let x be ((-38)/(-19))/((10/(-8))/(-5)). Suppose 3366 = x*y + 10*y. Are y and 188 nonequal? True Let b = -91442 - -614947452/6725. Is b bigger than 1? False Let n(h) = -5*h + 18. Let w be n(27). Let o = -114 - w. Is o at least 25/8? False Let r(c) = -3*c + 30. Let f be r(9). Let q(s) = 4*s + 15. Let h be q(f). Let x be (-615)/h - (-24)/(-108). Is x at least -23? True Let c = -0.4954 + 191.8354. Let h = -190 + c. Which is smaller: h or 0? 0 Let r = 15363 + -15311. Suppose -3*w = -99 - 57. Is w smaller than r? False Let v be (1026/(-30))/(4/10). Which is smaller: v or -85? v Let l(w) = -40*w**2 - 53*w - 14. Let z be l(10). Is -4544 less than z? False Let v = 5288365/144 + -36725. Which is greater: -1 or v? v Suppose -798*f + 61 = -808*f - 1009. Is f > -111? True Suppose -5*g - 5*t = -8*t - 10, -5*t = -5*g. Suppose -i + 1 = -x, 3*x + 6 = g*x + 2*i. Which is smaller: -2/89 or x? -2/89 Suppose -4*d = d + 680. Let t = d - -1487/11. Let p = -18378 + 18377. Is p != t? True Let t = -
{ "pile_set_name": "DM Mathematics" }
easing order. 4, 1/6, -0.01719, -2/5, -5 Sort 2, -2/13, -3, 6, -1, 0.1 in descending order. 6, 2, 0.1, -2/13, -1, -3 Put -3/2, -0.113, 1/32, 1 in ascending order. -3/2, -0.113, 1/32, 1 Sort 1/7, 17.75, -1, 5/2, -6 in descending order. 17.75, 5/2, 1/7, -1, -6 Sort -68, -2342, -1, -4 in decreasing order. -1, -4, -68, -2342 Sort -168, 22, 10, -1 in descending order. 22, 10, -1, -168 Put 18, -8, 4, 2, -209, 5 in ascending order. -209, -8, 2, 4, 5, 18 Sort -4/9, 158, -4/7 in decreasing order. 158, -4/9, -4/7 Put 14, 6, -4, 1, 3, 10 in descending order. 14, 10, 6, 3, 1, -4 Put -6, -0.172, 0.5 in descending order. 0.5, -0.172, -6 Sort -11, 9, -2, -5, -4 in increasing order. -11, -5, -4, -2, 9 Put -33, -27, -9, 4 in descending order. 4, -9, -27, -33 Sort -114, 2, -2, 13, 4 in descending order. 13, 4, 2, -2, -114 Put 1/7, -151, -0.2, -2, 1 in descending order. 1, 1/7, -0.2, -2, -151 Put -924, -79, -2 in descending order. -2, -79, -924 Put -5, 14, -4, 20, -3, -1 in decreasing order. 20, 14, -1, -3, -4, -5 Sort 7, -4, 1.619 in descending order. 7, 1.619, -4 Sort 0.0146, 0.5, 16, -0.04, 0, 0.3 in increasing order. -0.04, 0, 0.0146, 0.3, 0.5, 16 Sort 3353804, 0, 2 in decreasing order. 3353804, 2, 0 Sort 5/3, -1/2, -0.2, 0.2, -1/1692 in descending order. 5/3, 0.2, -1/1692, -0.2, -1/2 Put 0.4, -1.9, -995 in decreasing order. 0.4, -1.9, -995 Sort -2/13, -89.503, -2 in ascending order. -89.503, -2, -2/13 Sort 6, -1, -3, -34, 140 in decreasing order. 140, 6, -1, -3, -34 Put -0.5, 4/3, -4, 3, 6, 777 in decreasing order. 777, 6, 3, 4/3, -0.5, -4 Put 29/12, -0.01, 4, -2, -0.17 in descending order. 4, 29/12, -0.01, -0.17, -2 Sort 5, 3, 45, -329, -0.1 in increasing order. -329, -0.1, 3, 5, 45 Put 2/9, 1.6, -1/4, -0.3, -2.54 in ascending order. -2.54, -0.3, -1/4, 2/9, 1.6 Sort -272, -0.05, -0.082 in decreasing order. -0.05, -0.082, -272 Sort 4, -10, -29/4 in increasing order. -10, -29/4, 4 Put 5, -11, 1, 3, -5, -3 in increasing order. -11, -5, -3, 1, 3, 5 Put -412, -2, -38 in decreasing order. -2, -38, -412 Put -2/3, 243, -2/7 in increasing order. -2/3, -2/7, 243 Sort -9186, -1, 5, 33 in decreasing order. 33, 5, -1, -9186 Sort 4, -12/11, 3/4, -10, 2, 265 in descending order. 265, 4, 2, 3/4, -12/11, -10 Put -1, 4, 1380 in decreasing order. 1380, 4, -1 Put 0.4, 295, -9, -115 in increasing order. -115, -9, 0.4, 295 Sort -46, -39, 4, -1, -4 in descending order. 4, -1, -4, -39, -46 Sort -2/15, -1/3, 3, -1/2, 71, -4 in ascending order. -4, -1/2, -1/3, -2/15, 3, 71 Put 53, 27, -1, 5 in ascending order. -1, 5, 27, 53 Put 3, 50, 0.1, -35, 2 in increasing order. -35, 0.1, 2, 3, 50 Sort -4, -13, 9, 2, -33, -3 in ascending order. -33, -13, -4, -3, 2, 9 Put -0.372, -2/15, 2, 1, 3, -8/5 in ascending order. -8/5, -0.372, -2/15, 1, 2, 3 Put -422, 2/5, -2/15 in decreasing order. 2/5, -2/15, -422 Sort -11, 0.5, -5/9, -5/34, -5/2 in decreasing order. 0.5, -5/34, -5/9, -5/2, -11 Put 78, 2, 4/5, 0.5, -3 in increasing order. -3, 0.5, 4/5, 2, 78 Put 142, 4/5, -26 in increasing order. -26, 4/5, 142 Sort -1, -19, 5, 1, -5, 37 in descending order. 37, 5, 1, -1, -5, -19 Put -4/9, 3591/13, 0.1, 4, 5 in descending order. 3591/13, 5, 4, 0.1, -4/9 Put 387, -1/80, 2, 1/3, 0.4, 0.2 in descending order. 387, 2, 0.4, 1/3, 0.2, -1/80 Put 3, 1, 5, 156, -4 in ascending order. -4, 1, 3, 5, 156 Put 2, 5, -78/167, -1/5 in ascending order. -78/167, -1/5, 2, 5 Sort 4, -1, 2, 539 in increasing order. -1, 2, 4, 539 Sort -0.4, -0.5, 6, -844 in descending order. 6, -0.4, -0.5, -844 Sort -50, 13, -4, -0.2, -0.7 in descending order. 13, -0.2, -0.7, -4, -50 Sort 0.5, 3, 1/6, 143, 0.4 in ascending order. 1/6, 0.4, 0.5, 3, 143 Put 0.45, -6, -0.25, -0.1 in ascending order. -6, -0.25, -0.1, 0.45 Sort 44, 3, 7, 301. 3, 7, 44, 301 Sort -6574, 3, -1, -5, 1. -6574, -5, -1, 1, 3 Sort 2/5, 1, -43, -2.1, 0.05. -43, -2.1, 0.05, 2/5, 1 Put 0.084, 37, 0 in increasing order. 0, 0.084, 37 Put 0, -263, -2, -307 in ascending order. -307, -263, -2, 0 Sort 219, 39, -4 in descending order. 219, 39, -4 Put 265, 3, 86 in descending order. 265, 86, 3 Sort -5, 8, 2/5, -6, -2/41 in increasing order. -6, -5, -2/41, 2/5, 8 Sort -1, -11.87, 2/37. -11.87, -1, 2/37 Sort 3, 2188, -121 in descending order. 2188, 3, -121 Put 4, 1, -12, -1, -17 in decreasing order. 4, 1, -1, -12, -17 Sort -4, -3478, -29 in descending order. -4, -29, -3478 Sort 14, -4.09, 1/7, 1/4, 0. -4.09, 0, 1/7, 1/4, 14 Sort -0.5, -1, -0.057, 4, 0.2, 2/23 in increasing order. -1, -0.5, -0.057, 2/23, 0.2, 4 Sort 7, 2/53, -2, 11, -0.03. -2, -0.03, 2/53, 7, 11 Sort 1, -58, -1939. -1939, -58, 1 Sort -5, 251, 33, -1, -2 in decreasing order. 251, 33, -1, -2, -5 Put 3, -4777, 4 in decreasing order. 4, 3, -4777 Put 245, -34, 0 in descending order. 245, 0, -34 Sort 18158, -1, 58 in descending order. 18158, 58, -1 Put -3, -10, -13, 103 in descending order. 103, -3, -10, -13 Sort -3, -12, -7, -4, 17, 0 in descending order. 17, 0, -3, -4, -7, -12 Sort -0.3, 0.5, 236/9, 3, 1/6 in ascending order. -0.3, 1/6, 0.5, 3, 236/9 Put -2649, -4, 4, -5 in decreasing order. 4, -4, -5, -2649 Sort -4/7, 0.12, 2/9, 2/413 in descending order. 2/9, 0.12, 2/413, -4/7 Put -1, 30, 2, -77 in decreasing order. 30, 2, -1, -77 Sort -50, -2, -2973 in decreasing order. -2, -50, -2973 Sort -3, -0.5, 625, 2, -5 in increasing order. -5, -3, -0.5, 2, 625 Put 3/2, 4/5, -1/11, -1/10 in increasing order. -1/10, -1/11, 4/5, 3/2 Put 1067, 2, -16, 1, 3 in increasing order. -16, 1, 2, 3, 1067 Sort 6, -0.3, -7, -2384 in descending order. 6, -0.3, -7, -2384 Sort -37, -50, -181, -5 in descending order. -5, -37, -50, -181 Sort 3, -210, -10, -6, -1, -2. -210, -10, -6, -2, -1, 3 Sort -2, -3, -0.1, 6853, 0.06, -9/2 in descending order. 6853, 0.06, -0.1, -2, -3, -9/2 Put 1, -2, -901, -2/9, -2/29 in descending order. 1, -2/29, -2/9, -2, -901 Put 61, 0.1345, 4 in decreasing order. 61, 4, 0.1345 Put 3/7, 2760, 4, -2 in ascending order. -2, 3/7, 4, 2760 Sort -3, 10, -2, -5, 6991. -5, -3, -2, 10, 6991 Sort 1, -2, 924, 25 in descending order. 924, 25, 1, -2 Sort -0.5, 1.6, -1/321, 1/3, 0.1 in decreasing order. 1.6, 1/3, 0.1, -1/321, -0.5 Sort -206, 15, 6, 1 in increasing order. -206, 1, 6, 15 Sort 6/17, 19, 0.4, 3/4 in ascending order. 6/17, 0.4, 3/4, 19 Sort -2, 9, 4, -103, 2, 1 in decreasing order. 9, 4, 2, 1, -2, -103 Sort -11, 10, 20, -7 in increasing order. -11, -7, 10, 20 Put -0.2, 5/4, -4, 4485/8, 1 in increasing order. -4, -0.2, 1, 5/4, 4485/8 Put -2, -1, -38, -4, 378, 1 in descending order. 378, 1, -1, -2, -4, -38 Sort -1/430, 4, -28 in increasing order. -28, -1/430, 4 Sort -5, -1, -2, -20, 15, -4 in descending order. 15, -1, -2, -4, -5, -20 Put -4, 0, -11, -4126 in descending order. 0, -4, -11, -4126 Sort -29298, 4, -1. -29298, -1, 4 Put 11, 262/15, -4 in descending order. 262/15, 11, -4 Sort 0, -11/5, -1/45, 6 in decreasing order. 6, 0, -1/45, -11/5 Sort -28539, -11, 0. -28539, -11, 0 Put -36/37, -5, 3 in descending order. 3, -36/37, -5 Sort -5/4, 0.08, 47, -6, 0 in decreasing order. 47, 0.08, 0, -5/4, -6 Sort 20/7, 0.01, -20/11. -20/11, 0.01, 20/7 Sort 40.8, -47, -19. -47, -19, 40.8 Put 28, -15.1, -2/3 in decreasing order. 28, -2/3, -15.1 Sort -3, -12, 4, 37, 5, 0 in decreasing order. 37, 5, 4, 0, -3, -12 Sort 3, -107.5, -5, 4, -0.4, -9. -107.5, -9, -5, -0.4, 3, 4 Sort -0.3, 0.4, 0.04, 116, -2/3 in ascending order. -2/3, -0.3, 0.04, 0.4, 116 Put -1, -2/6213, 2/13, -2, 0.5, -5 in descending order. 0.5, 2/13, -2/6213, -1, -2, -5 Put 5, 65, -4, -53, -3 in increasing order. -53, -4, -3, 5, 65 Sort -0.312, 5, -3, -0.7 in decreasing order. 5, -0.312, -0.7, -3 Put 47, -5, -3, -10, 0 in descending order. 47, 0, -3, -5, -10 Sort 3, 2/11, -2, -2/11, -1, 99. -2, -1, -2/11, 2/11, 3, 99 Sort -11, -3, 5571. -11, -3, 5571 Sort 3, -22, -4, -2091 in increasing order. -2091, -22, -4, 3 Put 4/7, -22/7, -67 in increasing order. -67, -22/7, 4/7 Sort 591, -5/2, 0.2, -0.05, 5, -1/7 in decreasing order. 591, 5, 0.2, -0.05, -1/7, -5/2 Put -5, 0.01, -2403 in decreasing order. 0.01, -5, -2403 Put 5, 2, -49908, -3 in decreasing order. 5, 2, -3, -49908 Put 0.08, -15, -12/5311 in descending order. 0.08, -12/5311, -15 Sort -6, 3, 1/57, 2/135. -6, 2/135, 1/57, 3 Put -5, -15, -3/4, 7/3 in decreasing order. 7/3, -3/4, -5, -15 Sort 475, 108, -3 in decreasing or
{ "pile_set_name": "DM Mathematics" }
Suppose 2*r = 5*r - 15. Which is the nearest to 0? (a) x (b) r (c) g c Let z = 521 + -520. Which is the closest to 0.2? (a) z (b) 0.06 (c) -10 b Let b be 0 - (2/(-4) - -1). Let o = -1716 + 1715.9. What is the closest to -0.1 in b, o, 1/3? o Let s = -0.037 + -0.263. Let z(r) = r**2 + 3*r - 6. Let y be z(-5). What is the nearest to -1 in y, s, 2? s Let y = -317/3 - -104. Let c be -4 - (1 + 4/(-2)). Let x = -53 - -52.9. What is the closest to x in c, y, 1? 1 Let m = 0 - 8. Let b = 789.5 + -789. What is the closest to m in -0.4, 1, b? -0.4 Suppose 0 = -14*u - 5*u + 114. What is the nearest to -0.1 in -8, u, -0.5, 1/7? 1/7 Let l = -178 - -139. Let y = -41 - l. Which is the nearest to 1? (a) 0 (b) 0.2 (c) y b Let i be (-4)/22 - (-1296)/3861. Which is the closest to i? (a) 1/2 (b) -2 (c) -3/5 a Let m(y) = y - 1. Let k be m(5). Suppose 4*j = -b + 5, k*j + 0*b - 8 = -4*b. Let g(c) = -c. Let f be g(-1). What is the nearest to j in -5, -11, f? f Suppose 20 = -3*s + 8. Let y = 1017/5 - 204. Which is the nearest to -2/15? (a) 2 (b) s (c) y c Let h = -24 - -122/5. Let x = 2952 + -2951. Which is the closest to x? (a) 5 (b) h (c) 4 b Let w = -29 + 42. Let s = 23 - w. Let u = -23/2 - -167/14. What is the nearest to -1 in s, 1/7, u? 1/7 Let g be (-1960)/160 - 6/8. What is the closest to 0.1 in 1/2, g, -0.4, -3? 1/2 Let t be -1 + (42/10)/3. Suppose -224*p = -220*p + 52. Which is the closest to 1? (a) -2 (b) p (c) t c Let z = -0.08 - -0.1. Let r = -2.02 + z. Which is the nearest to r? (a) -2/11 (b) -0.3 (c) 0.1 b Let h be (-1738)/237 - (-8 + 1). Which is the nearest to -47? (a) 0.1 (b) -5 (c) h b Let c = -83 + 84. What is the nearest to c in -3, 4, -4/9? -4/9 Let t = -924 - -925. Which is the closest to t? (a) -0.2 (b) 6/11 (c) 3 (d) -2/7 b Let m = -1.358 + 0.358. Which is the nearest to 25? (a) -4 (b) 3 (c) 7 (d) m c Suppose 5*k + 90 = 11*k. Let t be ((-4)/15)/((-115)/k - -7). Which is the nearest to t? (a) 10 (b) 1 (c) -2 b Let i = 0.11 - -4.89. Let l be 28/(-20) + -1 + (-4)/(-10). Suppose 0 = w - 3 + 4. Which is the closest to l? (a) w (b) 0.3 (c) i a Let c = -22.052 + 0.052. Let x = c - -23. Let v = -0.18 + 5.18. What is the nearest to -1/4 in -3/4, x, v? -3/4 Let i be 4*1 - (17 - 9 - 1). Which is the nearest to -4? (a) -4 (b) -0.7 (c) i a Let g = -14/85 - -283/170. Which is the closest to -0.04? (a) -1 (b) g (c) -0.1 c Let m = -152 - -149. Let i = 1.7 + -1.7. Which is the nearest to -4? (a) i (b) 0.1 (c) m c Let j = -984 + 983. What is the nearest to 1 in j, -0.038, 1? 1 Let k = -394.5 + 395. Which is the nearest to 1? (a) k (b) -8.3 (c) -4 (d) 0 a Let o = 1.132 + -1.032. Which is the closest to o? (a) -1 (b) -3 (c) 2/9 (d) -4 c Let v = -3659 - -3656. Let d = -43.05 + 41. Let y = -0.05 - d. Which is the closest to -2? (a) v (b) 0.1 (c) y a Suppose 4*s + 6 - 34 = 0. Let c be (-14)/s + 22/10. Let d = -4.1 + 4. What is the closest to 1 in d, c, -7? c Let t = 2337 + -2336.9. Let q = 6 - 5.6. What is the closest to -3 in 4, q, t? t Suppose 10 = 7*d - 4. Which is the nearest to -1? (a) 4 (b) d (c) -11 b Let h = 39 + -35. What is the closest to 0 in h, -1, 5? -1 Let s(g) = -g**2 - 22*g + 21. Let r be (-3*(-6)/27)/(2/(-69)). Let c be s(r). What is the closest to 1 in -0.4, 0.4, c? 0.4 Let p = -1.1347 + 0.1347. Which is the closest to -1? (a) -4 (b) 2/27 (c) -3 (d) p d Let r = -281 - -281.2. What is the nearest to 0 in r, -4/7, -3? r Let l = -35 + 33. Let f be ((-9)/15 - 1) + l/5. Let u = -7 + 10. What is the nearest to f in u, 0.2, -0.5? -0.5 Let v = -2015.2 - -2015. What is the closest to 0 in v, 1.6, -2/39, -0.5? -2/39 Let u(i) = -i**2 - 6*i + 2. Let p be u(-6). Let y = -0.22187 + 0.32187. What is the closest to 1/2 in y, -1/12, p? y Let y = -83 - -82. Let j be (2/(-6))/(5/6). Let i = 2 + -3/2. What is the closest to j in y, 3/8, i? y Let q = 0.042 + 0.958. What is the nearest to q in -0.4, 1, -2/9? 1 Suppose 33*m - m = 0. Which is the nearest to 1? (a) m (b) 3/5 (c) -5 (d) 1/14 b Let q = 2.013 + -0.013. Which is the nearest to 0? (a) -5 (b) 1/8 (c) q (d) -3 b Let x be (8/(-40))/((-12)/(-20)). Which is the nearest to x? (a) -4 (b) 3 (c) -3/13 c Let n = -3 + 2. Let q = -0.3 + 2.3. Let b = 3703/15 - 247. What is the nearest to n in q, b, 3/5? b Let l = 0.145 - 106.145. Let f = l - -105.9. Which is the closest to f? (a) 3/7 (b) 0 (c) -2/7 b Let v be ((-1)/4)/((-6)/(-8)). Suppose 160 = -25*r - 15*r. What is the nearest to v in 6, r, -2? -2 Let j(y) = -2*y**3 - 13*y**2 - y + 34. Let q be j(-6). Which is the closest to -0.4? (a) 1 (b) q (c) 2/11 (d) -5 c Let w = 1835/11 - 167. Suppose 3 = 2*o - 5*y, -3*o - 4 = 2*y + 1. Let x = 1 - 6. What is the nearest to o in w, 1, x? w Suppose -x - d + 6 = 0, -4*x + 5*d = 37 - 16. Which is the nearest to 1/2? (a) -13/4 (b) -1 (c) x c Let h = 19.23 - 19. Let x = 0.77 + h. Let w be ((-1)/(-2))/((-6)/4). Which is the nearest to x? (a) w (b) 1/7 (c) -3 b Let j = 0.406 + -0.206. Let y = -2.3 - -3.3. Let k = -0.2 + 0.3. Which is the nearest to -0.1? (a) k (b) j (c) y a Suppose 3*j = -0*j - 6. Suppose -4*x = -4*r + 52, 3*r + 7*x - 2*x - 55 = 0. Let b be (-5)/r - 2*4/3. What is the closest to 1/2 in -2/3, j, b? -2/3 Let v = 0.3 + -0.32. Let j = v + 6.02. Let h = 0.62 + -0.42. Which is the nearest to -0.1? (a) h (b) j (c) -3/5 a Let l = -70 + 29. Let s = 44 + l. Which is the nearest to -0.1? (a) s (b) 0.5 (c) -3/5 c Let s(p) = 115*p + 465. Let q be s(-4). Which is the nearest to -2? (a) q (b) 2 (c) 2/9 (d) -16 c Let y = -1 + -3. Let v = 2914 - 2916. Which is the nearest to 0? (a) -0.4 (b) v (c) y a Let r = 3.98 - 79.78. Let n = r - -76. What is the nearest to n in -2, 1, 4? 1 Let f be 51/(-15) + 5 + (1 - 3). Let v = -4727/15 - -315. Let h = 71 - 70.8. Which is the closest to f? (a) h (b) 1 (c) v c Let x = 192.6 + -193.6. Which is the nearest to -3/4? (a) x (b) 0.3 (c) 2 (d) 5 a Suppose 0 = 16*d - d. Which is the closest to d? (a) -0.3 (b) -0.4 (c) -0.18 c Let y = -3.38 - 0.62. Which is the nearest to -1/4? (a) 3/7 (b) y (c) 2/29 c Let l = -32/17 - -2. Suppose 0 = 3*s + 15, 2 = -f - s - 13. Let z be 3/f*-4 + -1. What is the closest to 0 in l, z, -0.5? l Let y = -305.9 - -306. What is the nearest to y in 0.3, -2/5, 7/5? 0.3 Let s = 0.044 - 3.744. Let m = -0.7 - s. Let y = 0.82 - 0.42. What is the closest to 1/2 in y, 4, m? y Let x = 3.65 + 0.35. What is the closest to -1/3 in 3, -2/9, 0.4, x? -2/9 Let c = 0.04 - -1.96. Let r = 0.72 - 12.72. Let g = r + 12.2. What is the nearest to g in c, 1, 0? 0 Let p = 4254/5 + -855. What is the closest to 1 in 4, p, -3? 4 Let r = 33 + -22. Suppose 8 = 3*y + r. Let o be 36/(-14) - -1 - -2. What is the closest to 0 in 0, y, o? 0 Let w be -11 - ((-53)/5 + 0). Which is the nearest to 0? (a) w (b) -31 (c) -3 (d) 4 a Let z(y) = y**3 + 4*y**2 + 2*y + 5. Let u be z(-3). Let x be u/(-3) - (-12)/(-30)*-5. Which is the nearest to x? (a) -0.1 (b) -4 (c) -0.05 a Let t(u) = -u**3 + u**2 + 2*u + 4. Let y be t(0). Suppose 3*h + 8 = m, y*h = 5*m + 1 + 3. Which is the closest to h? (a) 2/5 (b) 3/4 (c) -4/7 c Let x = -74.1 + 74. Let w = -7.7 + 8. Let g = -2 - -7. Which is the closest to 1? (a) w (b) g (c) x a Let l = 25 - 98. Let m = -73 - l. What is the nearest to 2 in m, -2, 0.1? 0.1 Let c(u) = -u**3 + 6*u**2 - 7*u + 11. Let h be c(5). What is the nearest to h in -0.02, -0.4, -1/3? -0.02 Let l = 7.3 + -8. Let g = -0.5 - l. Suppose -324*o = -323*o + 4. What is the nearest to g in o, -1, 0.5? 0.5 Let p be 185/(-1480) + 1/(-2)*-1. Let x = 2.92 + 0.08. What is the nearest to 0 in p, x, -0.4? p Let x = -1.33 + 67.83. Let f = 42 - x. Let l = 25 + f. Which is the nearest to -0.1? (a) l (b) 0.1 (c) 3 b Let j be 2/(-2)*(-10)/35. Which is the nearest to j? (a) 0.3 (b) -1 (c) 0.17 (d) 0.5 a Let k = 0.029 - 0.029. What is the nearest to -0.2 in -1, 32, 1/2, k? k Let b = -19 + 19.04. Let c = b - 5.04. Let v = -7 + 6. What is the nearest to v in -2/5, c, -4? -2/5 Let h = -285 + 290. Which is the closest to 19? (a) h (b) -1/10 (c) 0.1 (d) 3 a Let j be (1 - 0)*((-99)/(-18) - 5). Which is the closest to j? (a) 0.3 (b) 4 (c) 5 a Let x = -149 + 599/4. Let i = 51.2 + -1.2. Let z = i - 50.4. Whi
{ "pile_set_name": "DM Mathematics" }
(u - u - u**2)*(0*u**2 + 2*u**2 - u**2)*(19 + 1 - 4). -16*u**4 Expand -2*m**3 + m**3 + 4*m**3 + (-2*m**2 - m**2 + 7*m**2)*(-3*m - m + 6*m). 11*m**3 Expand (2*u**2 + 0*u**2 - 3*u**2)*(0*u + u + 0*u). -u**3 Expand 7*w**3 + 1 - w**3 - 4*w**3 + (3 - 3 + 3*w)*(3 - 3 - 2*w**2). -4*w**3 + 1 Expand -2*a**5 + 5*a**5 - 4*a**5 + (-2*a**2 - 2 + 2)*(2*a**3 + 2*a**3 - a**3). -7*a**5 Expand (2*b + 4*b - 5*b)*(6*b**3 - 2*b**3 - 2*b**3) + b**4 - 20*b + 20*b. 3*b**4 Expand (0 + 0 - p)*(-2 + 2 + 11) + (3 - 3 - 2 + (-3 + 1 + 3)*(-3 - 1 + 3))*(2*p + p + 2*p). -26*p Expand 2*u**2 + 2*u**3 - 2*u**2 + (-2*u + 3*u**2 + 2*u)*(0*u + 6*u - u). 17*u**3 Expand 96*z**5 + 50*z**5 - 182*z**5 - z - z**5 + z + (3*z**3 + 0*z**3 - 2*z**3)*(z**2 + 2*z**2 - 4*z**2). -38*z**5 Expand (-3*c - 2*c + 2*c)*(3*c - c - c)*(-5 + 0 - 1). 18*c**2 Expand (-m - 3*m**2 + m)*(-2*m - 2*m + 2*m)*(6*m - 6*m + 7*m). 42*m**4 Expand (5*q + 0*q - 11*q)*(2 - 4 + 0) + 2*q - 6*q + 2*q + (-2*q + 2*q - q)*(0 + 3 - 2) - q - 4*q + 0*q. 4*q Expand (z + 2*z + 0*z)*((2*z**2 + 5*z**2 - 6*z**2)*(1 - z**2 - 1) - 2*z**4 + 6*z**4 - 2*z**4 + (3*z**4 - 2*z**4 + z**4)*(-1 + 4 - 2)). 9*z**5 Expand (0*v - 3*v + 4*v)*(-2 + 2 + 2*v) - 111*v**2 + 69*v**2 + 57*v**2. 17*v**2 Expand (-3*o - o + 3*o)*(-121 + 121 - 28*o)*(-2 - 2 + 2). -56*o**2 Expand (2 + 1 + 0)*(-2*v + v + 0*v)*(-v**3 - 6*v**3 + 5*v**3)*(-2*v + 2*v - 2*v). -12*v**5 Expand 0*f**3 - 46 + 48 + 2*f**3 + (-f + 2*f**3 + f)*(4 + 2 - 4). 6*f**3 + 2 Expand (3 - p**3 - 3)*(-p + 4*p - p) + 0*p**3 + 1390*p**4 - 3*p**3 - 1396*p**4. -8*p**4 - 3*p**3 Expand (-7*m + 8*m - 5 - 2*m)*(3 - 3 - m**2) + 3*m**3 + 0*m**2 + 0*m**2. 4*m**3 + 5*m**2 Expand (-5 + 5 + x**2)*(-2*x + 6*x + x)*(5 - 4 + 0). 5*x**3 Expand (5*v - 5*v - v)*(-2 - 6 + 0 + 2 - 1 + 1 + (2 + 2 - 3)*(1 - 1 - 1)). 7*v Expand (-1 + 1 + 2*a)*((-2 - 3 + 6)*(0 - 2 + 3) + 0 - 2 - 2)*(2 + 1 - 5). 12*a Expand 3*i**3 - 3*i**3 + i**5 + (-1 + 1 + i)*(46 - 13*i**4 - 46) + (-i - 2*i + 4*i)*(-3*i**4 + 7*i**4 - 2*i**4). -10*i**5 Expand (2*t - 3*t - 2*t)*(0 + 3 - 5)*(4 + 3*t - 4)*(3*t**3 - 2 + 2). 54*t**5 Expand (-2*s**2 + 2*s - 2*s)*(2*s - s - 5*s)*(0*s - 2*s + s). -8*s**4 Expand (-3*y**2 + 3*y**2 + y**3)*(-2 + 0 - 3). -5*y**3 Expand (-2 + 4 + 2)*(4*a**3 - 5*a**3 + 2*a**2 + 4*a**2). -4*a**3 + 24*a**2 Expand (10*m - 10*m + 7*m**2)*(0 - m**2 + 0) - m**4 - 3 + 3. -8*m**4 Expand (-6*b**4 + 3*b**4 + 2*b**4)*(-2*b + 0*b - 2*b) - 2*b**4 - 2*b**5 + 2*b**4. 2*b**5 Expand (-2*a**2 + 4*a**2 + 0*a**2)*(-3*a - 3*a**2 - a**3 + 3*a**2). -2*a**5 - 6*a**3 Expand (-12*n + 1 - 3 + 16*n)*(-1 - 1 + 1). -4*n + 2 Expand 2 - 2 - 9*h + (1 - 1 - 2)*(2*h - 1 + 1) + h - 3*h + 4*h. -11*h Expand 4*x**4 + 3*x**4 - 6*x**4 + (4*x**3 + x**3 - 4*x**3)*(-3*x - x + 9*x). 6*x**4 Expand (-2*z**4 - 3 + 3)*(-1 - 1 + 0) + (3*z + 10*z + 4*z)*(2*z - 2 + 2)*(0*z**2 - 2*z**2 + 0*z**2). -64*z**4 Expand (-1 + a + 1)*(-3*a**3 + a**4 + 3*a**3) + 2*a**5 + 2*a**2 - 2*a**2 - 4*a**3 + 9*a**3 + a**5 - 3*a**5. a**5 + 5*a**3 Expand -12 + 12 - 7*u - 3*u + 3*u - 2*u - 2*u + u - u - 4*u + 4*u + u - 2*u + 4*u + 0*u + (6*u - 5*u + u)*(4 + 1 - 3) + 4*u - 3*u + 0*u. -3*u Expand -2*m**4 + 6*m**4 - 23*m**4 + (2 + 1 - 4)*(-6*m**4 + m**4 + 3*m**4) + 4*m + 4*m**4 - 4*m. -13*m**4 Expand (5*y - y - y)*(15 + 0*y - 21 + 5*y). 15*y**2 - 18*y Expand -8*c**5 + 7*c**5 - 12*c**5 - 3*c**5 + 2*c**5 + 2*c**5 + (-4*c + 5*c + c)*(6*c**4 - 3*c**4 - c**4). -8*c**5 Expand 2*f - f + f + 2*f - 6*f + f - f + 2*f + f + (0 - f + 0)*(-3 - 3 + 5) + 0*f + 5*f - 2*f - 2*f - f + f. 3*f Expand (-4*r**3 - r**3 + 4*r**3)*(0*r - r + 3*r) + 7*r**4 - 3*r**4 - 3*r**4 - 5*r**4 + 3*r**4 + 6*r**4. 3*r**4 Expand (3 + 1 - 2)*(0*k + 3*k - 5*k) - 5 - k + 5 + 13*k + 52 - 52. 8*k Expand (v**2 - 2*v**2 + 0*v**2)*(7 - 3 + 11) + (-v + 1 - 1)*(v - v + v) - 2*v**2 - 3*v + 3*v. -18*v**2 Expand (-4 + 4 - 2)*(-4 - 2 + p + 4). -2*p + 4 Expand -i**2 + 0*i**2 - i**2 - 3*i**2 - i**2 + 2*i**2 + (-1 - 2 + 1)*(1 - 1 + i**2). -6*i**2 Expand (2 + 0 - 9)*(4*j + 2*j**5 - 4*j). -14*j**5 Expand (-h - 3*h + 3*h)*(-5 + 2 + 1) + (-2*h + 0*h + 4*h)*(11 + 3 - 1). 28*h Expand (-6 + 0 + 9)*(-i + 2*i + i). 6*i Expand (-3*p + 0*p + 0*p)*(2 - 2 + 1)*(-2 + 0 + 1 - 2*p**2). 6*p**3 + 3*p Expand (2 + 3*d - 2)*(0 + 0 - 2)*(3 + 5 - 5)*(-d - 6 + 6). 18*d**2 Expand 1 - 1 + d + (-1 + 3 + 0)*(-1 + 1 + d) + d - 4 - 2*d - d. d - 4 Expand (-20*n + 3 - 3)*(-3*n + 4*n + 0*n)*(-2*n - 3*n + 2*n). 60*n**3 Expand -l**2 - 4 + 4 + (0*l + 0*l + l)*(0*l - l + 3*l). l**2 Expand (3*q + 2*q**2 - 4*q**2 - q)*(q**2 - 2*q + 2*q). -2*q**4 + 2*q**3 Expand 3*f**4 - 3*f**4 + f**4 - 3*f**2 - f**4 + 3*f**2 + (0*f - f + 0*f)*(-4*f**3 + f**3 + 4*f**3) - 3*f**3 - 3*f**4 + 3*f**3. -4*f**4 Expand (d + 2 - 2)*(-2*d + 4*d - d)*(9 - 4 + 6) - 3*d**2 + 5*d**2 - 3*d**2 + (2*d + d - 4*d)*(d - 3*d + 0*d). 12*d**2 Expand 3*n + n - 5*n + (2*n - 6*n + 3*n)*(-2 + 5 - 1) + n - 2*n + 0*n + 0*n + 2*n + 0*n - 80 + 2*n + 76 + 2*n - 4*n + 3*n + 3*n. 4*n - 4 Expand (3 + 27 - 51)*(0 - 2 + 0)*(-5*x**2 + 2*x**2 + 4*x**2 - 2*x). 42*x**2 - 84*x Expand (8*r + 2*r**2 + 172 - 172)*(-r**2 + 0*r**2 + 2*r**2). 2*r**4 + 8*r**3 Expand -1 - 2*q**4 + 1 + (-3*q**3 + 2*q**3 + 0*q**3)*(2*q - 2*q - q). -q**4 Expand (2*k - 4*k - 4*k)*(2*k**4 + 1 - 1). -12*k**5 Expand (-2*z + 4*z - 4*z)*((-1 - 1 + 4)*(4 - 2 - 1) + 1 + 4 - 2). -10*z Expand (0 + 2 + 0)*(3*b + 0*b - 2*b)*(16*b + 0*b - 5*b). 22*b**2 Expand 1 + 2*l - 1 + (3 - 3 + 3)*(0*l - 5*l + l). -10*l Expand (1 + 1 - 1)*(2*n + n - n)*(4*n - 22 + 22). 8*n**2 Expand (1 - 3 + 1)*(-5*u**2 + 2*u**2 + u**2) + (0*u + 2*u + 0*u)*(u - u + 2*u) + 0*u**2 - u**2 - u**2. 4*u**2 Expand (2*g - 2*g**4 - 2*g)*(3 - g - 3) - 125*g**5 - 147*g**5 + 385*g**5. 115*g**5 Expand (6*w - 2*w - w + (-2 - 3 + 3)*(-2 + 2*w + 2))*(-2*w - 3*w + 4*w). w**2 Expand (-4*p + 0*p + p)*(3 + 2 - 2). -9*p Expand (-21 - 4*k**3 + 21)*(-3 + 3 + k). -4*k**4 Expand (2 + 1 - 4)*(-t**2 + t**2 + 2*t**2) - 3*t**2 - t**2 + 5*t**2 + (-t + 3*t - 4*t)*(-6*t + 4*t + 4*t). -5*t**2 Expand 5*b**2 - b**3 - 5*b**2 + (2*b - 3*b - b)*(b**2 + 0*b**2 + 0*b**2). -3*b**3 Expand (2*b**2 - 6*b**2 + 3*b**2 + (-b + 3 - 3)*(2*b - 1 + 1))*(0*b**2 + 9*b**2 - 7*b**3 + 13*b**3). -18*b**5 - 27*b**4 Expand -26*m - 22*m + 41*m + (2 - 6 + 2)*(2*m + 2 - 2). -11*m Expand (0*x**4 + 0*x**4 + x**4)*(-6 - 6 + 5) - 5*x**4 + x**4 + 3*x**4. -8*x**4 Expand (9 - 2*x - 9)*((5*x**2 - 4*x**2 - 2*x**2)*(3*x - 6*x + 4*x) + 0*x**3 - 3*x**3 + 2*x**3). 4*x**4 Expand (-3 - 3 + 4)*(1 - 2 - 3)*(-2*b + 2*b - 2*b) + (1 - 2 + 2)*(-2*b - 4 + 4). -18*b Expand 7 - 7*u**4 - 7 + (1 - 1 - 2*u**3)*(2*u + 0 + 0) + u**3 - u**3 + 3*u**4. -8*u**4 Expand (-9*h + 16 + 1 + 11*h)*(0 - 3 + 5). 4*h + 34 Expand (-4 + 4 - 2*m)*(-37*m - 4 + 15 + 35*m). 4*m**2 - 22*m Expand (-2 + 0 - 1)*(0*j + 2*j + 0*j)*(3*j + 5*j**4 - 3*j). -30*j**5 Expand (-4*i**5 + 2*i**5 + 0*i**5)*(2 + 2 - 5) - 2*i**5 + 4*i**4 - 4*i**4 + (-3*i + 3*i - i**4)*(-i + 0 + 0) + i**5 - 23*i**5 - 10*i**5. -31*i**5 Expand -7*m**3 + m**3 - 3*m**3 + (0*m + 2*m + 0*m)*(2*m - m**2 - 2*m). -11*m**3 Expand 3*l**2 - 3*l**2 - 3*l**2 + (-3*l**2 + 3*l**2 + 2*l**2)*(-3 + 1 + 0) + l**2 + 2*l**2 - 2*l**2. -6*l**2 Expand (0*f**2 - 4*f**3 + 0*f**2)*(-7 + 4 + 6). -12*f**3 Expand (63*j - 22*j + 32*j)*(-2 - 2*j**4 + 2). -146*j**5 Expand (0*t + t + 0*t)*(0*t + 0*t + 2*t**3) + 43*t**4 - 18*t**4 + 26*t**4. 53*t**4 Expand (-1 + q**2 + 1)*(0*q + 0*q + 2*q) + 0 + q**3 + 0 - 3 + 3 - 2*q**3 + 4*q**3 + 6*q**3 - 3*q**3. 8*q**3 Expand (-89 + 89 + 25*u)*(1 + u**2 - 1). 25*u**3 Expand (2 - 2 + 3)*(4*x**4 - 2*x**5 - 4*x**4). -6*x**5 Expand (a**4 + 2*a**4 - 5*a**4 + (-1 + 2*a**2 + 1)*(3*a**2 - 3*a**2 - a**2))*(10*a - 18*a + 27*a). -76*a**5 Expand (2*y**2 - 2*y**2 + y**2)*(-2 + 2 + 2*y)*(6*y - 11 + 11). 12*y**4 Expand (y - 2 + 3 + 1)*(2*y - 14 + 14). 2*y**2 + 4*y Expand -4*o**2 + 0*o**2 + o**2 + (3*o - 8*o + 0*o)*(2*o + 6 - 6) + (1 - 4 + 2)*(4*o**2 + 0*o**2 - 3*o**2). -14*o**2 Expand (2 - 1 - 2)*(3*b - 5*b + 3*b)*(3 - 1 + 2). -4*b Expand -6*m**5 + 0*m**5 + 4*m**5 + (-2*m**2 + m**2 + 2*m**2)*(4 + m**3 - 4) - 4*m**5 + 0*m**5 + 3*m**5 + (-2*m - 3*m + 6*m)*(3*m**4 - 5*m**4 + m**4). -3*m**5 Expand (35*g + 20*g - 85*g)*(-2 - 1 + 1). 60*g Expand 4*m**3 + 2*m**3 - 4*m**3 + (-3 + 3 + 2*m**2)*(2*m - m + m) + 2*m**2 + m**3 - 2*m**2 + m**3 + 2*m**3 + 0*m**3 + m**3 + 2*m**3 - m**3. 12*m**3 Expand d + 3 - 3
{ "pile_set_name": "DM Mathematics" }
/10 Two letters picked without replacement from {o: 9, y: 7, b: 3}. What is prob of sequence bo? 3/38 Calculate prob of sequence ue when two letters picked without replacement from {u: 4, z: 3, m: 1, e: 1, f: 5}. 2/91 What is prob of sequence elo when three letters picked without replacement from {e: 1, l: 2, t: 1, o: 1}? 1/30 Three letters picked without replacement from llllullllllu. Give prob of sequence lll. 6/11 Two letters picked without replacement from {c: 5, k: 1, b: 2, g: 1, y: 2, a: 2}. Give prob of sequence cy. 5/78 What is prob of sequence ge when two letters picked without replacement from {c: 1, b: 1, g: 2, h: 4, e: 8}? 1/15 What is prob of sequence llll when four letters picked without replacement from {w: 6, l: 7}? 7/143 Two letters picked without replacement from {k: 1, s: 2, u: 4, w: 2, o: 5, i: 1}. Give prob of sequence wo. 1/21 Three letters picked without replacement from lliiil. What is prob of sequence lli? 3/20 Three letters picked without replacement from {v: 1, y: 1, n: 2, u: 1, f: 2}. What is prob of sequence nvu? 1/105 What is prob of sequence aaa when three letters picked without replacement from ppaaaaapyppppypppa? 5/204 Three letters picked without replacement from hhktpph. What is prob of sequence ptp? 1/105 Four letters picked without replacement from {p: 6, a: 1, h: 6, b: 1, s: 1, w: 1}. Give prob of sequence pbhp. 3/728 What is prob of sequence vm when two letters picked without replacement from {k: 2, v: 3, m: 12}? 9/68 What is prob of sequence km when two letters picked without replacement from {g: 2, f: 1, x: 1, r: 1, k: 1, m: 1}? 1/42 Calculate prob of sequence ltfl when four letters picked without replacement from {t: 1, f: 13, e: 3, l: 2}. 13/46512 Two letters picked without replacement from {x: 4, h: 3, t: 1, o: 2, d: 2, c: 2}. Give prob of sequence oo. 1/91 Two letters picked without replacement from {t: 2, g: 5, a: 9}. What is prob of sequence tt? 1/120 What is prob of sequence vxyy when four letters picked without replacement from yfyuvfx? 1/420 What is prob of sequence uttg when four letters picked without replacement from tguuguuuuuutu? 3/1430 Two letters picked without replacement from lmmimlliillmlim. Give prob of sequence mi. 2/21 What is prob of sequence ld when two letters picked without replacement from wwwwwdewwwldwww? 1/105 Calculate prob of sequence ge when two letters picked without replacement from jffbffegebefjeee. 1/40 Two letters picked without replacement from {v: 1, i: 3, p: 1}. Give prob of sequence vp. 1/20 What is prob of sequence ff when two letters picked without replacement from {f: 11, z: 5, v: 1}? 55/136 Two letters picked without replacement from cvzzakzzaekzzzzzav. Give prob of sequence ez. 1/34 Calculate prob of sequence ngng when four letters picked without replacement from {q: 5, n: 2, a: 4, g: 2}. 1/4290 Four letters picked without replacement from pwwpwppssppwwswwps. What is prob of sequence pswp? 49/3060 Calculate prob of sequence pr when two letters picked without replacement from rgffrrfgprgfrrg. 1/35 Two letters picked without replacement from {c: 1, x: 2, w: 1, k: 1, m: 1, e: 2}. What is prob of sequence xc? 1/28 Three letters picked without replacement from ueueeuueue. What is prob of sequence uue? 5/36 Four letters picked without replacement from {u: 10, f: 3, w: 1, d: 4}. Give prob of sequence dufu. 1/68 Three letters picked without replacement from eeeeennezze. What is prob of sequence eez? 14/165 Calculate prob of sequence sx when two letters picked without replacement from xss. 1/3 Calculate prob of sequence bp when two letters picked without replacement from pubjfph. 1/21 Two letters picked without replacement from {z: 1, q: 1, e: 4, p: 1, n: 1}. Give prob of sequence ee. 3/14 Two letters picked without replacement from {b: 2, l: 3, w: 3}. Give prob of sequence lb. 3/28 What is prob of sequence zvzh when four letters picked without replacement from {h: 1, v: 1, z: 2, r: 1}? 1/60 What is prob of sequence yrr when three letters picked without replacement from {y: 1, r: 7}? 1/8 What is prob of sequence if when two letters picked without replacement from inodefe? 1/42 Calculate prob of sequence rjx when three letters picked without replacement from {x: 2, r: 1, f: 1, j: 1}. 1/30 Four letters picked without replacement from {w: 4, i: 5, x: 5}. Give prob of sequence ixiw. 50/3003 What is prob of sequence pr when two letters picked without replacement from {v: 7, p: 3, r: 8}? 4/51 Three letters picked without replacement from axywa. What is prob of sequence xwa? 1/30 Calculate prob of sequence ww when two letters picked without replacement from {w: 11, b: 9}. 11/38 Two letters picked without replacement from bjboooobonjobbj. Give prob of sequence no. 1/35 Three letters picked without replacement from mmcggmgwmmllzmmggmmg. What is prob of sequence glg? 1/114 Two letters picked without replacement from {m: 6, d: 1, o: 5, e: 3, j: 3}. Give prob of sequence je. 1/34 Calculate prob of sequence umr when three letters picked without replacement from uqmmuqutrtzqmzut. 1/280 What is prob of sequence ffif when four letters picked without replacement from ffffiifiifii? 2/33 Four letters picked without replacement from jfbb. Give prob of sequence bbbf. 0 Calculate prob of sequence czz when three letters picked without replacement from {z: 2, y: 2, g: 1, x: 1, c: 1, o: 1}. 1/168 Calculate prob of sequence pap when three letters picked without replacement from ppaaa. 1/10 Two letters picked without replacement from {d: 1, v: 1, a: 2, r: 1, e: 1, l: 1}. Give prob of sequence aa. 1/21 What is prob of sequence kkmk when four letters picked without replacement from {m: 1, k: 14}? 1/15 What is prob of sequence hhd when three letters picked without replacement from dhttttuhzdttht? 1/182 Four letters picked without replacement from {k: 1, x: 12}. Give prob of sequence kxxx. 1/13 What is prob of sequence ya when two letters picked without replacement from {a: 3, y: 1, l: 3, v: 6, o: 1, n: 5}? 1/114 Calculate prob of sequence fu when two letters picked without replacement from zfu. 1/6 Two letters picked without replacement from {e: 3, p: 1, s: 2, x: 6, n: 2}. Give prob of sequence px. 3/91 Three letters picked without replacement from gicmymiccmc. What is prob of sequence ycc? 2/165 What is prob of sequence ttap when four letters picked without replacement from {t: 2, u: 1, a: 1, x: 1, p: 2}? 1/210 Calculate prob of sequence ytrt when four letters picked without replacement from aryteyerttaryytyyae. 3/1292 Four letters picked without replacement from {t: 1, d: 1, h: 1, r: 2, g: 2, w: 2}. What is prob of sequence grth? 1/756 Three letters picked without replacement from iiziiiziiziziiiiizi. Give prob of sequence zzz. 10/969 Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 3}. 1/4 Four letters picked without replacement from wttwrtttcttocw. What is prob of sequence twoc? 1/572 Four letters picked without replacement from {r: 9, k: 4, m: 6}. What is prob of sequence rmrk? 6/323 Two letters picked without replacement from {j: 1, s: 2, y: 2, g: 1}. Give prob of sequence jg. 1/30 Two letters picked without replacement from wmewmddh. What is prob of sequence ew? 1/28 Four letters picked without replacement from {t: 3, p: 2, n: 15}. Give prob of sequence ttpp. 1/9690 Calculate prob of sequence tptp when four letters picked without replacement from ppattop. 1/70 Three letters picked without replacement from ccgcggcggggggcgggg. What is prob of sequence gcg? 65/408 Four letters picked without replacement from jgjjyjjjgggjg. What is prob of sequence jjjj? 7/143 Three letters picked without replacement from bprippriipgg. Give prob of sequence pig. 1/55 What is prob of sequence fnf when three letters picked without replacement from ffunnffffufn? 21/220 Three letters picked without replacement from {p: 2, y: 1, x: 2, r: 1, c: 2}. Give prob of sequence pyp. 1/168 What is prob of sequence pw when two letters picked without replacement from jwspejescespes? 1/91 Four letters picked without replacement from {i: 6, l: 1, v: 2, x: 2}. What is prob of sequence xvxl? 1/1980 Calculate prob of sequence ur when two letters picked without replacement from zzzrrujsjj
{ "pile_set_name": "DM Mathematics" }
me? True Is 893965057 prime? True Is 1868435329 a prime number? True Is 15028611911 a composite number? True Is 2746473187 composite? True Is 468061987 a prime number? False Is 27473084209 a composite number? True Is 76095038369 composite? True Is 408860623 prime? True Is 110934724421 a prime number? True Is 19390532033 a composite number? False Is 545892551 a composite number? True Is 18205117927 prime? False Is 72207801781 a composite number? False Is 86692288535 a composite number? True Is 6763007627 a prime number? True Is 11488356767 a composite number? False Is 726314530781 a prime number? False Is 6672797837 prime? True Is 83456751473 composite? False Is 1406472269 a composite number? False Is 16008092017 prime? False Is 7708335469 composite? False Is 15590935387 a prime number? False Is 36833723461 prime? False Is 207136793 a composite number? False Is 18751678031 prime? False Is 34058365259 a prime number? True Is 772853387 prime? True Is 2330443666 composite? True Is 760927529 prime? False Is 7230541811 a composite number? False Is 893294411 a composite number? False Is 2382913901 composite? False Is 11664536699 a composite number? False Is 363485119 a prime number? True Is 15927672934 prime? False Is 16356901079 a prime number? False Is 1451500363 composite? True Is 6775849555 prime? False Is 538396951 a prime number? True Is 4491963197 composite? True Is 35339740109 a composite number? False Is 5094858731 a composite number? True Is 44340224951 a composite number? True Is 30053197 a composite number? True Is 56217114571 a composite number? False Is 4590995473 prime? False Is 4808949251 prime? True Is 735493763 a composite number? True Is 1095770747 composite? False Is 93098353 a composite number? False Is 4091812553 a composite number? False Is 1243540979 a prime number? False Is 81441469 a prime number? True Is 1510666939 prime? True Is 14256502471 a composite number? False Is 11850517711 prime? True Is 2880457241 composite? False Is 19550805733 prime? True Is 44651263 composite? True Is 1424636401 a composite number? True Is 2871104287 a prime number? False Is 1097798291 composite? True Is 2501017619 a composite number? False Is 56038060327 a prime number? False Is 31428515777 a prime number? True Is 163355855819 a prime number? False Is 15766040573 a composite number? True Is 1033642321 composite? True Is 8135675389 a prime number? True Is 67117231 prime? True Is 45109463801 prime? True Is 5469154289 a prime number? False Is 97841180123 a prime number? True Is 73278379727 composite? True Is 510246377 composite? True Is 8589939 prime? False Is 3663494683 composite? True Is 529664081 a composite number? True Is 699035759 a composite number? False Is 58928567567 a composite number? False Is 4944775457 a prime number? True Is 1099049701 a prime number? True Is 175971109 a prime number? True Is 278708387 a composite number? True Is 1091995103 composite? False Is 186311207009 a composite number? False Is 5708191217 a composite number? True Is 9663214909 composite? False Is 6546409699 a composite number? False Is 11387081963 a prime number? False Is 110110031 a composite number? True Is 28413446669 a composite number? True Is 6289052699 a prime number? True Is 1233506567 a prime number? False Is 157958664055 a composite number? True Is 31042953091 prime? True Is 366552203 composite? False Is 709714969 a composite number? False Is 1785081057 composite? True Is 2204478581 composite? False Is 1993462039 prime? True Is 125811229 a prime number? True Is 3869351 a composite number? False Is 18420245737 prime? False Is 1492314913 prime? False Is 304202501 a composite number? False Is 8972582111 composite? False Is 1300236901 composite? False Is 9653703803 composite? True Is 1873443881 a prime number? True Is 8919486887 prime? False Is 15621069403 composite? False Is 21188542831 a composite number? True Is 5457255389 a composite number? True Is 2257937179 composite? False Is 11299491013 prime? False Is 1733878271 prime? True Is 432539197 a composite number? False Is 34818835969 prime? True Is 307673159 prime? True Is 1691420407 composite? False Is 5385616682 composite? True Is 807258731 composite? False Is 163280726509 a prime number? True Is 18038193557 composite? False Is 3500371361 a composite number? False Is 306951373 a composite number? False Is 603862339 a prime number? True Is 865822703 prime? True Is 247800000119 prime? False Is 167746877887 prime? False Is 52292477 prime? True Is 446890778 a prime number? False Is 5515861049 composite? True Is 2452712971 a prime number? True Is 175164532693 a prime number? False Is 718567691 prime? False Is 28259879437 a composite number? False Is 39771681791 a composite number? True Is 1504131337 a prime number? True Is 8362292297 a composite number? False Is 1674009619 prime? False Is 51932008498 a prime number? False Is 251999794 a composite number? True Is 11017722719 a prime number? True Is 23040937303 prime? False Is 6474800743 composite? False Is 157705829 a prime number? True Is 20365148779 a composite number? True Is 5902610099 a composite number? False Is 35014680895 a composite number? True Is 59854063799 composite? False Is 507561287 composite? False Is 61418111057 composite? False Is 269678483 a prime number? True Is 53452783 a composite number? True Is 83150000042 composite? True Is 4610685539 a prime number? True Is 2140423553 prime? False Is 498587291 a composite number? True Is 17359711913 a prime number? True Is 3148671833 a prime number? False Is 1281595963 prime? True Is 100258401179 a prime number? True Is 1072739399 prime? True Is 1279561427 composite? False Is 2312208349 composite? True Is 6464456239 a composite number? True Is 121057709099 composite? False Is 31914233287 a prime number? False Is 13205403217 a prime number? True Is 13779801593 a composite number? False Is 12338696563 composite? False Is 649058959 a prime number? False Is 10570029551 a composite number? True Is 6694323331 a composite number? False Is 6655226377 prime? False Is 1434992491 a composite number? True Is 156882870835 a prime number? False Is 755509523 a composite number? True Is 41313019 a composite number? True Is 1142728679 prime? True Is 252480251 composite? False Is 2478539137 composite? False Is 650517607 a composite number? False Is 466055011 a prime number? True Is 1902742349 a composite number? True Is 2104634227 a prime number? True Is 2712552889 a prime number? True Is 51957716983 composite? False Is 21575287882 a composite number? True Is 22500780091 a composite number? False Is 28459927493 composite? True Is 853781027 a prime number? False Is 7253400449 prime? True Is 6993755837 prime? False Is 13510182001 a composite number? True Is 2344951393 a composite number? False Is 14262122683 a prime number? True Is 648939939 a composite number? True Is 27106219667 prime? True Is 16790979019 composite? False Is 12426207931 prime? True Is 16408578083 composite? True Is 8643193439 prime? False Is 3609484873 composite? True Is 2155828033 a composite number? False Is 75112447 a composite number? False Is 1149865019 a composite number? True Is 406075213 composite? True Is 56354087477 a composite number? False Is 252355043 prime? False Is 128266401 prime? False Is 21777470189 composite? False Is 2962256669 a prime number? True Is 3628661678 prime? False Is 1087042841 a composite number? False Is 4143374771 prime? False Is 37669979 a prime number? True Is 17844598151 a composite number? True Is 1138298617 composite? True Is 4157536891 prime? True Is 19796580941 composite? True Is 4941142841 a composite number? False Is 3303706027 prime? True Is 337556213 a composite number? True Is 1633129427 a composite number? False Is 647037481 composite? False Is 4466859587 a prime number? False Is 2161409959 prime? False Is 339080303 a composite number? False Is 3399003941 a composite number? False Is 545554661 a composite number? True Is 10741739353 a composite number? True Is 23825377219 prime? False Is 3182390567 a composite number? False Is 14727541067 prime? False Is 54391436597 a prime number? True Is 460136539 a composite number? False Is 437258103 a prime number? False Is 2411112893 composite? True Is 3
{ "pile_set_name": "DM Mathematics" }
t of l? 3 Suppose 5*u = -n + 69813, -6 = 4*n - 18. What is the tens digit of u? 6 Suppose 81903 = 5*p + 6*p - 25083. What is the tens digit of p? 2 What is the hundreds digit of (-1)/(-5) - (-17173568)/1160? 8 Suppose 1491 = 2*z - 259. Let q = -484 + z. Let g = q + -226. What is the units digit of g? 5 Let j(c) = 15*c + 10. Let f be j(-2). Let v be (-8)/(-3)*2/(f/(-15)). Suppose -5*q + 444 = v*u, 3*u = 4*q - 5*q + 80. What is the units digit of q? 2 Let x(z) = -319*z - 86. Let w be x(5). Let f = 2848 + w. What is the thousands digit of f? 1 Let h(v) = -118*v**3 - 11*v**2 + 100*v + 465. What is the tens digit of h(-5)? 4 Let j(r) = 433*r**3 + 7*r**2 - 9*r + 9. What is the hundreds digit of j(2)? 4 Suppose -o + 2*u + 5836 = 0, 11708 = 528*o - 526*o + 2*u. What is the tens digit of o? 4 What is the units digit of 2/12*-997*88950/(-593)? 5 Suppose 5*m = -h - 70, 0*h + 4*m = -2*h - 122. Let n = h - -63. What is the units digit of (-483)/(-28)*n/3? 6 Suppose -121*w = -98*w - 607680 + 235908. What is the units digit of w? 4 Let a(c) = 36*c + 59. Let m = -31 - -42. What is the tens digit of a(m)? 5 Let m(r) = 2*r**3 - 9*r**2 + 4*r - 4. Let k be m(4). Let g be (-21)/(-12) + k/(-16). What is the units digit of g - (-43 + -3 + 2)? 6 Let g(k) = 45*k**2 + 14*k + 207. Let v be g(-15). Suppose 6*a - v = -3798. What is the units digit of a? 4 Let f = 239 - -206. Let k(t) = -467 - 6*t + 892 - f. What is the units digit of k(-8)? 8 Suppose 0 = -n + 7 - 3. Suppose 0*b + n = 2*b. Suppose 84 = b*t + 6. What is the tens digit of t? 3 Suppose 5*g = -4*x + 57, -3*g + 19 = 4*x - 28. Suppose 5*u = 3*m - x*m + 3670, 2200 = 3*m + 4*u. What is the hundreds digit of m? 7 Let z(b) = 18*b + 188. Let r be z(-9). Suppose -5*w = 2*k - 66, k = -4*w + r + 7. What is the units digit of k? 3 What is the units digit of ((-56)/(-16) - 1)/(10/12872)? 8 Let r(w) = 65*w - 13937. Let l be r(0). What is the units digit of (l/21)/(10/(-30))? 1 What is the hundreds digit of (40/(-16))/(134/24 - 6) + 12292? 2 Let b = -9206 + 27200. What is the tens digit of b? 9 Let f = 9239 + 5388. What is the ten thousands digit of f? 1 Let p = 2 + 5. Let s(k) = k**3 - 12*k**2 + 10*k + 17. Let j be s(p). Let o = 254 + j. What is the tens digit of o? 9 Let m = -293 + -447. Suppose -b - 5*k = -4*b - 10, 4*k - 8 = 5*b. What is the tens digit of (-1*(-3 - b))/((-60)/m)? 3 Suppose -228*t - 1512 = -237*t. What is the units digit of t + (2 - (-35)/(-5))? 3 Suppose -1963 = -6*b + 845. Suppose b = v + 164. What is the hundreds digit of v? 3 Let w = 679 - 675. Suppose 389 = 5*t - w*z - 718, t - 231 = 4*z. What is the units digit of t? 9 Let k(d) = 3*d**3 + 3*d**2 - d + 11. Let j be k(4). What is the units digit of j/39*(-1 - -34)? 9 Let k(x) = 4*x - 6*x + 28 - 6*x + 12*x. Let t be k(-3). Let j(i) = i**3 - 16*i**2 + 7*i - 27. What is the units digit of j(t)? 5 Suppose 20*x - 15*x - 35 = 0. Suppose -855 = -l + m, -2*l + x*l - 3*m = 4275. What is the hundreds digit of l? 8 Suppose -5*z - 10 = -5*k - 10*z, 3*k - z = 18. Let s(q) = -q**3 + 7*q - 3 + 5*q**2 + q**2 - 2. What is the units digit of s(k)? 5 Suppose 7*b - 9*b + 548 = m, b = -2*m + 1111. Let a = -130 + m. What is the units digit of a? 8 Let c = -227 + 249. Suppose 363 = 11*n - c. What is the tens digit of n? 3 Let a(c) = 6*c - 8. Let n be a(2). Suppose -1990 = m + n*m. Let k = -179 - m. What is the units digit of k? 9 Let d = -5050 + 11469. Suppose 8*i = i + d. What is the units digit of i? 7 Let d(q) = 76*q + 1. Suppose -3 = -p - 2*p. Let i be d(p). What is the units digit of i - 4/(-12)*-6? 5 Suppose 0 = 3*p + 5*u - 64, 3*p - u - 23 = 29. Suppose 1230 = 20*v - p*v. What is the tens digit of v? 1 Let k be ((-9 - -8) + -2 + 4)*0. Suppose 120*l - 116*l - 6492 = k. What is the thousands digit of l? 1 Suppose h - 39 + 31 = 0. Suppose 5*a + 1506 = h*a. What is the units digit of a? 2 Let k(m) = 2*m**2 - 4*m + 14. Let s(w) = -w**2 + 5*w - 13. Let h(p) = 2*k(p) + 3*s(p). Let l be h(-7). What is the units digit of (-6)/(-4)*l/(132/(-296))? 7 What is the hundreds digit of (6654*(-4)/(-72))/((10/(-24))/(-5))? 4 Suppose -1580 - 4982 = -5*h + 3*y, 3*h = 5*y + 3934. What is the tens digit of h? 1 Let n = -126 + -6. Let w be n/10 + 4/20. Let z = 95 + w. What is the tens digit of z? 8 Let m = 118614 + -68568. What is the units digit of m? 6 Let k(z) = -2*z**3 + 2*z**2 - 2. Let y(l) = -8*l - 101. Let s be y(-12). What is the hundreds digit of k(s)? 2 Suppose -75 - 393 = -9*n. Suppose n*f - 7056 = 40*f. What is the units digit of f? 8 Suppose 3*y + 9 = 0, 3*b + y + 5 = 2*b. Let z be 0 + (-1)/b + (-15)/(-6). Suppose 932 - 245 = z*q. What is the units digit of q? 9 What is the ten thousands digit of 1395/1860 - 250266/(-8)? 3 Suppose 18 = h + 23, 2*h - 9528 = -2*p. What is the hundreds digit of p? 7 Let v(q) = -1306*q - 906. What is the units digit of v(-5)? 4 Let y = -22 - -26. Suppose m + y = 0, 3*c + 6 = 8*c - 4*m. What is the tens digit of 4/c - (-2 + 3) - -56? 5 Let f(s) = 224*s**2 - 10*s + 30. Let j be f(3). Suppose 24*u - 17*u = j. What is the units digit of u? 8 Suppose -7*l - 7*l = -7*l - 57463. What is the hundreds digit of l? 2 Let u = -1592 + 2251. Let l = u + -521. What is the hundreds digit of l? 1 Let c(v) be the third derivative of -v**4/4 - 5*v**3/3 - 15*v**2. Let f be c(-5). Suppose f*k + 28 = 24*k. What is the units digit of k? 7 Let u be 1/(-12)*-33 - 1/(-4). Suppose 4*l - 18 = u*z + 16, z - 33 = -5*l. Suppose 146 = 9*o - l*o. What is the units digit of o? 3 Suppose 0 = -20*v - 1626 - 294. Let y = 48 - v. What is the tens digit of y? 4 Suppose -4*s = 5*v - 13513 - 11697, s - 4*v - 6313 = 0. What is the units digit of s? 5 Let q = 142 - -189. Let n = q - -44. What is the tens digit of n? 7 Let h be -1 - (-232 + (5 - 2)). Suppose 4*d - 4*n = -2 + 6, -2*d + 5*n = 4. Suppose 6*b - d*b - h = 0. What is the units digit of b? 6 Let n(b) = 327*b**3 - b**2 + 4. Let p be n(2). Suppose 17*h = 2926 + p. What is the units digit of h? 6 Let n(p) = 8*p**2 - 54*p + 1819. What is the hundreds digit of n(59)? 4 Suppose 0 = -6*z + 3*z + 15. Suppose 2*l = 5*k + 9 + z, 0 = 3*l + 2*k - 2. Suppose -326 = -0*f - l*f. What is the units digit of f? 3 Let v be (32/(-8) - -6)*(-26)/(-4). Suppose 2*w + 3729 = v*w. Suppose 233 + w = 4*p. What is the units digit of p? 3 Let v = 301 + -297. What is the units digit of (13/(-65))/(v/(-120))? 6 Suppose -3*m - 412 = -4*l, -5*m + 2*l - 5*l - 677 = 0. Let k = m + 256. What is the hundreds digit of 1/(-2)*15/(k/(-2528))? 1 Suppose 2*z - 4*z + 182 = 0. Suppose 4*b - 209 = z. What is the tens digit of b? 7 Let g(x) = x**2 + 227*x + 5429. What is the units digit of g(0)? 9 Suppose 0 = 2*i - 4*i - 2*n + 27086, 4*i - 2*n = 54160. What is the hundreds digit of i? 5 Let g(o) = 2*o**2 - o + 2079. Let l be g(0). Suppose l = -12*s + s. Let c = 388 + s. What is the units digit of c? 9 Let d(g) = -g**3 - 114*g**2 + 543*g + 355. What is the units digit of d(-119)? 3 Let y(l) = 5361*l**2 - 82*l - 244. What is the hundreds digit of y(-3)? 2 Let q be (-8)/(-12)*(4/8 - -4). Suppose 5*k + 2*g + 2*g = -86, -q*k + g = 55. What is the units digit of 1 - (1580/k - (-2)/(-9))? 9 Let g(q) = -97*q**3 - q**2 + 16*q - 1. What is the units digit of g(-4)? 7 Let j = 102 - 95. Suppose 4*v + j*c - 1912 = 11*c, v - 493 = 4*c. What is the tens digit of v? 7 Suppose -33*b + 30*b = 1236. Let p = b + 749. What is the units digit of p? 7 Let x = -239 - -242. Suppose 2*h - b - 460 = 0, h + x*b - 412 = -168. What is the units digit of h? 2 Let r be (-54)/(-4)*(-2585 - 55). What is the tens digit of (-2)/7 - (r/21)/4? 2 Suppose -183*q = -85*q - 82*q - 169536. What is the hundreds digit of q? 5 Let y(i) = -21 + 37 - 35*i + 10 - 52*i. What is the units digit of y(-8)? 2 Suppose -6*g = -10*g + 16. Suppose 0 - g = -f. What is the tens digit of (294/12)/(1/f)? 9 Suppose 58*r = 90*r - 52*r + 32500. What is the hundreds digit of r? 6 Let u be (-918)/(-3) - (-5 - -5)/3. Suppose 19*y = 10*y + u. What is the units digit of y? 4 Suppose 0 = -1601*l + 1623*l - 590832. What is the hundreds digit of l? 8 Let o be (8/6)/(-2) - (-84)/(-36). Let a be (25 - (0 + 2))*(o - -4). Let f = a - -80. What is the units digit of f? 3 Let y = -12922 + 14488. What is the hundreds digit of y? 5 Suppose -20 = -35
{ "pile_set_name": "DM Mathematics" }
fy 3*(sqrt(5) + -1 + 0 + -5 + ((sqrt(5) + -1)**2 + -3 - (sqrt(5) - (sqrt(80) + 2)))). -3 + 6*sqrt(5) Simplify 1 + -3 + 1 + sqrt(76) - (-1*sqrt(912) - sqrt(57))/(sqrt(147)*2). -1 + 33*sqrt(19)/14 Simplify 5*(1 + sqrt(1100) + 3 + sqrt(1100) + 6*sqrt(1100)*-1)**2. -1600*sqrt(11) + 88080 Simplify (5*-1*2*sqrt(209))/((sqrt(1100) - (sqrt(1100) - -1*sqrt(1100))) + sqrt(1100) + sqrt(1100) - (sqrt(11) + -2*sqrt(1331))). -10*sqrt(19)/31 Simplify (sqrt(121)*2*-2 + -3*(sqrt(121)*-1 - sqrt(121)) + sqrt(121))/((sqrt(132) - 1*(sqrt(132) - (sqrt(132) + -2*sqrt(132))))/sqrt(12)). -3*sqrt(11) Simplify (-2*(1 + sqrt(11)) + sqrt(176) + 2 - (3 + (-1*sqrt(11) - sqrt(11)) + 0))**2. -24*sqrt(11) + 185 Simplify -1 + sqrt(832) - (1*sqrt(65))/sqrt(5) - (sqrt(13) + sqrt(65)/sqrt(5) + 2 - sqrt(39)/(-1*sqrt(3))). -3 + 4*sqrt(13) Simplify (sqrt(1053)*-1 + -5)**2 - (2*sqrt(1053) + 5) - (sqrt(78)/(6*sqrt(24)) + 2). 863*sqrt(13)/12 + 1071 Simplify ((sqrt(156) - (-1*sqrt(156) + sqrt(156)))*-3 + (sqrt(156) - sqrt(156)*-2*1))/((sqrt(48)*-2)/sqrt(4)*1). 0 Simplify ((sqrt(2736) + sqrt(2736) + sqrt(2736)*1 + -1 - (0 + sqrt(2736) + -4)) + sqrt(2736)*-1*6 + -2)**2. -96*sqrt(19) + 43777 Simplify -3*((sqrt(2) + 1)*-1 - sqrt(200)*-2) + -2. -57*sqrt(2) + 1 Simplify (-4*sqrt(2000))/(5*sqrt(4)*-6) + 2. 2 + 4*sqrt(5)/3 Simplify -2*(4*sqrt(180)*-1)**2. -5760 Simplify (sqrt(440)/(6*-1*sqrt(8)))/(-4*sqrt(891)*-2). -sqrt(5)/432 Simplify ((-3*((sqrt(72)*-1 - sqrt(72)) + sqrt(72)))/sqrt(4))/(sqrt(108)/(sqrt(12) - (sqrt(12) + sqrt(192)/sqrt(4)))). -6*sqrt(2) Simplify -2 + (2*sqrt(2057) + -1 + 3 - -4*(sqrt(2057) - ((sqrt(2057) + 2 + sqrt(2057) - sqrt(2057)) + 3)))**2. -792*sqrt(17) + 8550 Simplify ((sqrt(228) - 2*sqrt(228))*6 + -1*(sqrt(228) + sqrt(228) + sqrt(228)*-1))/(1*(sqrt(972) - -1*sqrt(972))). -7*sqrt(19)/18 Simplify (6*(sqrt(2800) - sqrt(2800)*1))/(sqrt(64)*6 - sqrt(36)*-3). 0 Simplify 3*(-1 + (0 + (1*sqrt(1539))**2)*1). 4614 Simplify ((sqrt(343) - (1 + sqrt(343))) + 4 - (sqrt(343)*-3)**2*-5)*-1. -15438 Simplify 6*(-5 + sqrt(25)/sqrt(5) - (sqrt(5) + 6*sqrt(125))**2)*2. -57720 + 12*sqrt(5) Simplify ((sqrt(4032) - (-2*sqrt(4032)*-1 + sqrt(4032))) + sqrt(4032))/((sqrt(4) - sqrt(484)*-2)*-5). 12*sqrt(7)/115 Simplify 4 + (sqrt(10)/sqrt(2))**2 + (sqrt(80)*-1)**2 - (0 + sqrt(720) + 4)**2. -647 - 96*sqrt(5) Simplify ((sqrt(525)*-2 - sqrt(525) - sqrt(525))*6)/(2*-3*sqrt(15)/sqrt(5)). 20*sqrt(7) Simplify (((sqrt(130) + -4*sqrt(130))*3)/(-1*sqrt(90) - sqrt(90)))**2. 117/4 Simplify (-1 + (-4 + 1*sqrt(80) + sqrt(80) - 2*sqrt(80)*-2) + 3 + 4)**2. 96*sqrt(5) + 2884 Simplify (sqrt(931) - (-5 + sqrt(931)*-5)) + -4*(sqrt(228)*2)/sqrt(12). 5 + 34*sqrt(19) Simplify (sqrt(2) + sqrt(2) + sqrt(6)/sqrt(3))*-4*-5 + (1 + sqrt(2))*2 + ((sqrt(40)/sqrt(5))**2 - sqrt(2)). 10 + 61*sqrt(2) Simplify (1 + sqrt(325) - sqrt(13) - ((sqrt(26)/sqrt(2))**2 + -5)) + 0 - (-2*sqrt(52) + 0 + sqrt(26)/sqrt(2))**2. -124 + 4*sqrt(13) Simplify (sqrt(35)/sqrt(20) - (-1 + sqrt(175) + sqrt(175) - sqrt(7)) - ((sqrt(28)/sqrt(4) - sqrt(7))*4 - sqrt(28)/(sqrt(12)/sqrt(3))))**2. -15*sqrt(7) + 1579/4 Simplify 3 + sqrt(52)/(-6*sqrt(36)) + (-2*sqrt(325) - sqrt(325)) + (sqrt(208) + -3)**2. -703*sqrt(13)/18 + 220 Simplify -5*-1*(-1 + (sqrt(1100) + 1)**2 - sqrt(1100))*-5. -27500 - 250*sqrt(11) Simplify (-4*2*(sqrt(60) + sqrt(15)))/(sqrt(125) + (sqrt(125) - sqrt(125)*1)*6). -24*sqrt(3)/5 Simplify (sqrt(192)/(sqrt(32)/sqrt(4)) - (1*sqrt(1176) + sqrt(24)))/((sqrt(168)/sqrt(7))/sqrt(3)*-2). 7*sqrt(3)/2 Simplify (1 + ((-4*sqrt(132)*1)/(1*sqrt(1728)))**2)*-5. -100/9 Simplify -1*(-4 + (sqrt(76) + -2)**2 + sqrt(171)/sqrt(81) + -4 + (sqrt(76))**2). -148 + 23*sqrt(19)/3 Simplify ((sqrt(76) + -1)*4 + -1)**2*-2. -2482 + 160*sqrt(19) Simplify (2*(sqrt(385) - (sqrt(385) - -1*sqrt(385)))/sqrt(11))/(sqrt(20)/sqrt(4)*-6 + sqrt(5)*-1*-3). 2*sqrt(7)/3 Simplify (-4*(-5*((-2*sqrt(133) - sqrt(133)) + sqrt(133)) + sqrt(133)))/((sqrt(77)*-2*-4)/sqrt(11)). -11*sqrt(19)/2 Simplify (-3 + -2*(4 + sqrt(272)*-2 + (sqrt(272) + 1 + sqrt(272) + sqrt(272))*-2))**2. -896*sqrt(17) + 69681 Simplify -4*(-1*sqrt(1088)*3 - (0 + sqrt(1088))*2)**2. -108800 Simplify 3*2*sqrt(1872)*3 - 1*2*sqrt(1872)*-1. 240*sqrt(13) Simplify ((-1*sqrt(187) - sqrt(187))*-6 - (sqrt(187) - 2*sqrt(187)*-5))/((sqrt(1584) - ((1*sqrt(1584) - sqrt(1584)) + sqrt(1584) - sqrt(1584)))*-4). -sqrt(17)/48 Simplify (sqrt(260)/((sqrt(20) + sqrt(5))*-5))/(-1*sqrt(324)*4) + -4. -4 + sqrt(13)/540 Simplify 1*(6*(sqrt(180) + (sqrt(180) - sqrt(180)*-1) + sqrt(180) + 5 + -4))**2. 1728*sqrt(5) + 103716 Simplify ((2*sqrt(1100) + (sqrt(539) - (sqrt(539) + sqrt(539)*2))*-5)*-5)**2. 2227500 Simplify sqrt(14)/sqrt(8) - -6*(-1 + sqrt(7) + sqrt(7)) - -5*-2*sqrt(1008). -215*sqrt(7)/2 - 6 Simplify 6*(sqrt(425) + sqrt(425) + ((2 + sqrt(425))*5 + sqrt(425))**2 + (-2 + 2 + sqrt(425))**2)*-6. -569700 - 21960*sqrt(17) Simplify (sqrt(7) - 2*sqrt(7)*1 - (sqrt(7)*-2 + 3)) + (-4*(sqrt(448) + 1) - sqrt(448))**2 + -4. 321*sqrt(7) + 11209 Simplify (sqrt(234)/sqrt(6)*-3)/((sqrt(33)*4)/sqrt(11)). -3*sqrt(13)/4 Simplify (3*sqrt(110)*1*5)/(sqrt(10) - ((sqrt(1440)*1 - sqrt(1440)) + sqrt(1440)) - (-2*sqrt(110))/sqrt(11)). -5*sqrt(11)/3 Simplify (-1*sqrt(40)*3)/(2*sqrt(8)*1). -3*sqrt(5)/2 Simplify (-2*sqrt(6776)*2)/(2*sqrt(72)*1). -22*sqrt(7)/3 Simplify (sqrt(88) + (sqrt(88)*-2 - sqrt(88))*-3 + -4*-2*sqrt(88))/(sqrt(8) + sqrt(48)/(-1*sqrt(6)) - (sqrt(8) + sqrt(16)/(-2*sqrt(2)))). -36*sqrt(11) Simplify (5 + 5*sqrt(1053) - ((sqrt(13) - sqrt(156)/(5*sqrt(12))) + 3))**2. 884*sqrt(13)/5 + 635033/25 Simplify ((sqrt(363) + 1*sqrt(363) - sqrt(363))**2 + 3 + ((sqrt(1800) + sqrt(1800)*1)/sqrt(6))**2)*-1. -1566 Simplify -4 + (-4*(-1 + sqrt(704))**2 + (sqrt(704)*-2)**2 + 0 - ((sqrt(704) - (0 + sqrt(704) + -2)) + (sqrt(704) + (sqrt(704) - (-4 + sqrt(704)*1)))**2)). -730 Simplify 2 + (sqrt(100)/sqrt(5))/sqrt(10) + -2 + 4. sqrt(2) + 4 Simplify 5*(1 + sqrt(117)) + (sqrt(117)*1*1 - sqrt(117)) + -1*(sqrt(117) - -4*(1 + sqrt(117))). 1 Simplify (6*(1*sqrt(520)*-1 - sqrt(520))/(sqrt(40)/sqrt(4)*6))**2*-2. -416 Simplify (-5*(-4 + sqrt(396) + 0 + sqrt(396)))**2 - ((2*(sqrt(396) + (-2 + sqrt(396) + sqrt(396) - sqrt(396))))**2 + -4). -2208*sqrt(11) + 33652 Simplify (sqrt(320)*3)**2*-1 + (5*sqrt(5) + 1)*-4. -2884 - 20*sqrt(5) Simplify (2*(-2*sqrt(1029) - sqrt(1029)) - sqrt(1029))/(-5*sqrt(63) + sqrt(28)/(sqrt(16)/sqrt(4))). 7*sqrt(3)/2 Simplify (1*(sqrt(27) + sqrt(3) - sqrt(3)) + -2*(0 + sqrt(3)) + sqrt(6)/(sqrt(20)/(-2*sqrt(10))))**2. 3 Simplify (3*-2*(-1 + sqrt(2)) + 3)*-4. -36 + 24*sqrt(2) Simplify (3 + sqrt(1008) + 1 + 0 + sqrt(1008) + sqrt(1008) + (sqrt(1008) + -1)*2 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0)*-2)*3)**2. 960*sqrt(7) + 403204 Simplify sqrt(50)*-3 + sqrt(128) + (sqrt(128) - (sqrt(128) + 0 + sqrt(128))**2) + (6*(sqrt(72)/(sqrt(9)*-2))/sqrt(4))**2. -494 + sqrt(2) Simplify -3 + (1 + sqrt(1100))*2 + -1. -2 + 20*sqrt(11) Simplify -3 + (5 + -1 + sqrt(28))**2 + (0 + sqrt(252))**2 + 3. 16*sqrt(7) + 296 Simplify (-5*(6*(sqrt(7623) + -3) - sqrt(7623)))**2. -148500*sqrt(7) + 4772475 Simplify 5 + (sqrt(17) + -1)**2 + sqrt(68)*-2 - (1 + -1 + (sqrt(153) - (sqrt(153)*-1 - sqrt(153))))**2. -1354 - 6*sqrt(17) Simplify -3*(4*(1*sqrt(204) - sqrt(204)))/(sqrt(12)*-1*-2)*6. 0 Simplify 6*((sqrt(275) + 0 + sqrt(275))*1 + -4 + (sqrt(275) - sqrt(275)*1) + sqrt(275))*3. -72 + 270*sqrt(11) Simplify ((sqrt(5) - (sqrt(80)*-3 - sqrt(5)) - 4*sqrt(5)*3) + 4)**2. 16*sqrt(5) + 36 Simplify (6*-1*sqrt(275)*2 - (-1*sqrt(275)*6 + -2 + sqrt(275)*2))**2. -160*sqrt(11) + 17604 Simplify 3 + -4*sqrt(2736) - (6*(-1 + sqrt(2736)))**2. -98529 + 816*sqrt(19) Simplify (-1 + (sqrt(100)/(sqrt(10)*2))/(-6*sqrt(10)/sqrt(2)))**2. sqrt(2)/6 + 73/72 Simplify ((sqrt(68) + -1*sqrt(68))*5)/(sqrt(4) + sqrt(48)/(sqrt(12) - sqrt(192))) + -5. -5 Simplify (sqrt(108)*-1*5 - sqrt(108) - (sqrt(108) + sqrt(108) + (sqrt(108) - 2*sqrt(108))*-6))**2 + 4. 21172 Simplify (4 + -1*2*sqrt(343) - 4*(-3 + (sqrt(343) - (-1 + sqrt(343)))))**2. -336*sqrt(7) + 1516 Simplify -4*((sqrt(2057) + 2 + 2 - (sqrt(2057)*-2 + -3))**2 + 1). -74252 - 1848*sqrt(17) Simplify (5 + -5*(sqrt(1872) + 5 + sqrt(1872) + 2))**2. 7200*sqrt(13) + 188100 Simplify 3 + (-1*(sqrt(171)*4 + sqrt(171)))/(sqrt(9) + sqrt(45)/sqrt(5)*1 - sqrt(9)). -5*sqrt(19) + 3 Simplify
{ "pile_set_name": "DM Mathematics" }
2)*(s + 2*s - 5*s) + (0*s**2 + 2*s**2 - s**2)*(s - 3*s + 0*s) + s**3 - s**3 + s**3. -5*s**3 Expand -5*u**5 + 4*u**5 + 0*u**5 - 174*u**3 + 17*u**5 + 174*u**3 - u**5 - 2*u**4 + 2*u**4 + (3*u - 4*u + 3*u)*(-3*u**4 + 3*u**4 - 3*u**4). 9*u**5 Expand -5*o + 5*o - o**2 + 2*o**2 + o**2 - 4*o**2 + (-5 - 2*o + 5)*(4 - 4*o - 4). 6*o**2 Expand (364*o + 948*o - 276*o)*(-3 + 3 - 1)*(4 - o - 4). 1036*o**2 Expand (-7 - 2 + 20*s + 15)*(s + s - 5*s). -60*s**2 - 18*s Expand 8*y**5 - 13*y**4 + 13*y**4 + (-6*y**5 + 5 - 5)*(-4 + 1 + 1) + 0*y**5 - y**5 + 3*y**5. 22*y**5 Expand (4190*v + 84*v**5 - 4190*v)*(2 + 3 - 6). -84*v**5 Expand (3*h**3 + 3*h**3 - 5*h**3)*(-h**2 + h**2 + h**2) - 4 + 4 - 2*h**5 - 5*h - h**5 + 5*h + (2*h + 2*h - 2*h)*(-4*h - 2*h**4 + 4*h). -6*h**5 Expand (2*t + 2 - 2)*(-11*t**2 - 57*t**2 - t**3 - 14*t**2). -2*t**4 - 164*t**3 Expand (5*g - g - 3*g)*(-2*g + 3*g + 0*g) + 5*g**2 - 5*g**2 - 3*g**2 - 1. -2*g**2 - 1 Expand (4*u**4 - 3*u**4 + 0*u**4)*(0 - 2 + 3) + u**4 + 4*u**4 - 3*u**4 - 2*u**4 + u**4 + 3*u**4 + (5*u**3 - 4*u**3 - 3*u**3)*(-71*u - 3*u - 8*u). 169*u**4 Expand -202*t**2 + 202*t**2 + 27*t**3 + (t**2 - 3*t + 3*t)*(-3*t - 4 + 4). 24*t**3 Expand (-2*d + d + 0*d)*(-d - d + 4*d) + (36 - 36 + 27*d**2)*(2 - 2 + 1). 25*d**2 Expand (2*f + 4 - 4)*(2 + 0 + 1)*(-4*f + 22*f + 4*f). 132*f**2 Expand 3 - 3 + 2*w + (3*w - w - w)*(0 - 1 + 0) - 3*w + 0*w + 5*w - 2 - 4*w + 2 - w + w + 2*w + 139 - 139 - 21*w. -20*w Expand -h + 4 - 4 + (-2 + 2 + 2*h)*(0 - 1 + 0) + 4*h - 4*h + h + 120*h - 19591 + 19591. 118*h Expand (1 + 2*h**2 - 1)*(-5*h + 0*h + 7*h)*(h**2 - 25*h**2 + 46*h**2). 88*h**5 Expand (-6 - 4 - 3)*(-2 + 11*j + 2 - 1)*(-1 + 4 - 1). -286*j + 26 Expand 12 - 12 + s**2 - 4*s**3 + (0 + 2 + 0)*(0*s**3 + s**3 - 3*s**3) - 3*s**3 + 2*s**2 - 2*s**2 - 2*s**3 + 6*s**3 + s**3. -6*s**3 + s**2 Expand 563 - 563 - 457*t + (1 - 5 + 2)*(-2*t + 0*t + t). -455*t Expand 0*d + d + 5*d + (d + 0 + 0)*(1 - 3 + 4) + d + 1 - 1 - 3*d - 1 + 1. 6*d Expand (-3*f + 0*f + 2*f)*(2*f + 22 - 22)*(-4 - 7 + 6). 10*f**2 Expand -v**3 + 0*v**3 + 2*v**3 + 3*v**3 - 23*v**2 - 2*v**3 + 29*v**2 + (-4*v**2 + 4*v**2 + 2*v**3)*(-5 + 4 + 3) + 1 - 1 + 2*v**3. 8*v**3 + 6*v**2 Expand (-1 + 6*k**2 + 1)*(20*k + 16*k + 20*k). 336*k**3 Expand (17 + 422*v - 42 - 421*v)*(256*v - 2*v**4 - 14*v**3 - 256*v). -2*v**5 + 36*v**4 + 350*v**3 Expand 2*s - 4*s + s + (-42*s - 41*s + 80*s)*(3 + 1 - 6). 5*s Expand (4 - 4 - 1)*(1174*b - 369*b + 954*b)*(5*b - 4*b - 2*b). 1759*b**2 Expand 2*a - a**3 - 2*a + (0*a - a + 0*a + (-2*a - 2*a + 7*a)*(1 + 2 - 4))*(-2*a**2 + 4*a**2 - 5*a**2). 11*a**3 Expand (-3 - 5 - 8)*(4*r - 4*r + r**2)*(6 + 2 - 3). -80*r**2 Expand (-2 + 2 + 2*b)*(2 - 5 + 5) + (-1 + 3 - 1)*(-6*b - 30*b - 48*b)*(-3 + 2 + 3). -164*b Expand (4*v + 0*v - 2*v)*(-180 + 3 - 130). -614*v Expand (-z + 5 + 3*z - z + (3 - 3 - 2*z)*(3 - 3 - 2))*(-2*z + 1 - 1)*(-20*z - 28*z + 18*z). 300*z**3 + 300*z**2 Expand (-3 - 25 - 8)*(-3 + 1 + 0)*(0 + u + 0). 72*u Expand -95*s**5 - 76*s**5 - 4*s**5 + (-3*s - s + 3*s)*(-2 - 2*s**4 + 2). -173*s**5 Expand (5*g**2 + 66*g**3 - 119*g**3 + 60*g**3 - 2)*(-2*g + 3*g + 3*g). 28*g**4 + 20*g**3 - 8*g Expand (238 - 238 + 20*f**2)*(-3*f**2 + f + 2 - f). -60*f**4 + 40*f**2 Expand (-115502*b**3 + 57309*b**3 + 60544*b**3 + b**2)*(4 + 2*b - 4). 4702*b**4 + 2*b**3 Expand 24 + 0*k + 2*k - 26 + (5*k - k - 2*k)*(3 + 5 - 3) + 0 + 4*k + 0. 16*k - 2 Expand (-9*j**2 - 28*j**2 - 10*j**2)*(3*j**2 - 3*j**2 - 12*j**3). 564*j**5 Expand (a**4 + 4*a**4 - 3*a**4)*(-6*a + a + 3*a) + (a**4 + 0 + 0)*(-12*a - 25 + 25). -16*a**5 Expand (-1 + q + 1 - 37 - 12*q + 37 - 2*q + 3*q - 4*q - q - 4 + 4 - 4*q + 0*q + 2*q + (5*q - 5*q + 2*q)*(3 + 1 - 2))*(-2*q - q + 2*q). 13*q**2 Expand (2*n + n + n)*(-3556*n + 4 + n**3 + 3556*n). 4*n**4 + 16*n Expand (2 + 4 - 4)*(0*y**2 + 2*y**2 + 0*y**2) + (36*y - 309 + 309)*(-6*y + y + y). -140*y**2 Expand (0 + 3 + 0)*(16*v + 16*v - 6*v). 78*v Expand (-1 + 24 + 49)*(0*s + 2*s + 0*s) + s - 5*s - 8*s. 132*s Expand 5 + 12*i**2 - 5 + (-2*i + 0*i + 4*i)*(-3*i + i + i). 10*i**2 Expand (-5*h - h + 4*h + (2*h - 5*h + 2*h)*(-1 + 5 - 2))*(h**3 - 3*h**3 + 5*h**3) + (2 + h - 2)*(24*h**3 + 67 - 67). 12*h**4 Expand (-2 + 5 - 2 + (-1 + 0 + 3)*(1 + 1 + 0) + 2 - 1 - 3)*(-348*v + 210*v + 216*v). 234*v Expand x**4 - 2*x**3 + 2*x**3 + (-27*x + 22*x + 14*x)*(0*x**3 - 6*x**3 - x**3). -62*x**4 Expand ((5 - 1 - 3)*(4*s + 0*s - 5*s) + 0*s + 6*s - 2*s)*(1 + 3 - 3 + (-2 - 3 + 6)*(4 - 2 + 2)). 15*s Expand (-6*a - 2 + 2)*(12*a + 23 - 23) + 2*a**2 + 0*a + 0*a + (5*a**2 - 4*a**2 + a**2)*(4 - 1 - 2) + 2*a**2 - 2*a**2 + 2*a**2 + (-1 + 0 + 4)*(-a**2 + a - a). -69*a**2 Expand 42*n**3 + 72*n**3 + 26*n**3 + (-4*n + 0*n + 5*n)*(-2*n**2 + 0*n**2 + 0*n**2). 138*n**3 Expand -280 - 272 - 2*a**4 + 586 + (-3*a**2 + 5*a**2 + 0*a**2)*(2*a**2 - 6*a**2 + 2*a**2). -6*a**4 + 34 Expand -l - 2*l + 4*l + (-1 + 1 + l)*(-2 + 5 - 1) + 3*l - 5*l + 0*l + (0 + 0 + 2*l)*(-1 + 1 - 1). -l Expand (-x**2 + 2*x**2 + 0*x**2)*(7*x**2 + x**2 - 3*x**2) - 52*x**4 - 153*x**2 + 153*x**2. -47*x**4 Expand (v**2 + 1 - 4*v - 1)*(54 - 44 + 49). 59*v**2 - 236*v Expand (1 - j - 3 - 7*j)*((-2 - 2*j + 2)*(0 + 3 - 1) + 4*j - 3*j + 0*j). 24*j**2 + 6*j Expand (-76 - 7 + 30)*(-1 + 3*p + 1)*(3 - 1 + 1). -477*p Expand (-3 + 2 - 1)*(11*l**4 - l**4 + 11*l**4) + 0*l**4 + 5*l**4 - 2*l**4. -39*l**4 Expand (-73*v - 21*v - 25*v)*(-2 + 1 - 6). 833*v Expand (-2*d**2 - 2*d**2 + 5*d**2)*(2 - 7 + 6) - 5*d + 5*d + d**2 - 2*d**2 + 0*d**2 + d**2. d**2 Expand (0 + 1 - 2)*(-o**2 + 3*o**2 + o**2) + (-7*o + 17*o + 2*o)*(1 - 3 + 1)*(2*o + 0 + 0). -27*o**2 Expand 28*w + 23*w**3 - 28*w + w**3 + w**3 + 7*w**3 + (0*w**3 + w**3 - 3*w**3)*(-2 + 2 + 2). 28*w**3 Expand ((6*p + 0*p - 5*p)*(-2 + 1 + 0) + 2*p - 3 + 3)*(2 + 2 + 1). 5*p Expand p**5 - 2*p**5 + 7*p**5 - 2*p**5 + 0*p**5 + 4*p**5 + (1 - p**4 - 1)*(-2*p + 2*p + p) - p**3 + 2*p**5 + p**3 - 31*p**5 + 5*p**4 - 3*p**4 + 25*p**5. 3*p**5 + 2*p**4 Expand (6 - 1 - 2)*(-1 + 2 + 1)*(1 - z - 1) + (0 - 3 + 2)*(-4*z - z + 3*z) + z + 3*z + 2*z. 2*z Expand (-10 - 5 + 45)*((1 + 1 - 1)*(-d**2 + 4*d**2 - 2*d**2) + 2*d**2 + 2*d**2 - 3*d**2 - d**2 + 4*d**2 - d**2 - 3*d**2 + 0*d**2 + 4*d**2). 150*d**2 Expand (-f**3 + f**2 + 3*f - 3*f)*(49 - 102 - f + 51) + (-1 - f**3 + 1)*(-2*f + f - 2*f). 4*f**4 + f**3 - 2*f**2 Expand -2*g**2 + g**2 + 135 - 135 + (-2 + g + 2)*(g - 2*g + 0*g). -2*g**2 Expand -73*j**2 + 10*j**4 + 73*j**2 - 350*j**4 + (1 + j**2 - 1)*(-2*j**2 + 3 - 3). -342*j**4 Expand (k + k - 3*k)*(-k**2 + k**2 - 2*k**3 + (2*k**3 + 2*k**3 - 5*k**3)*(0 - 1 + 2) - k**3 + 3*k**3 - 143*k**2 + 192*k**2). k**4 - 49*k**3 Expand (113 + 2 - 15 - 7)*(-4*t**4 + 5*t**4 - 3*t**4)*(0*t + 4*t + 0*t). -744*t**5 Expand (2*w + 0*w + 0*w)*(-2 + 0 - 9)*(5 - 1 + 14)*(0 + 2*w**2 + 0). -792*w**3 Expand -3*l - 2*l - 4*l**3 + 7*l + 0*l**3 + 2*l**3 - l**3 + (0*l**2 + 3*l**2 - l**2)*(0 + 0 - 2*l) + 2 - 2 + 2*l**3 + 3*l**2 - 3*l**2 - l**3. -6*l**3 + 2*l Expand (-2*h**2 - 1 + 1)*(106*h**3 - 172*h**3 + 138*h**3). -144*h**5 Expand n - n + n + 13 + 4*n - 13 - n + 4*n - 5*n + (0*n - 2*n + 0*n)*(-5 + 1 + 2). 7*n Expand -c**4 - 2*c**4 - c**4 + (29*c**3 - 250*c + 250*c)*(2 - 2 - c). -33*c**4 Expand ((-3 + 3 + i)*(1 - 4 + 4) - 4*i + 5*i + 3*i)*(5 + 56 - 9)*(-4 + 4 + i) + (0*i + i - 3*i)*(5*i - i - 3*i). 258*i**2 Expand (-h + 2 - 2)*(-8*h**4 - 21*h**4 + 3*h**4) + (h**5 + 0*h**5 + h**5)*(-4 + 5 + 0). 28*h**5 Expand 0*o**2 + 2*o**2 + o**2 + 6*o**2 + 2*o**2 - 6*o**2 + (-o + 2*o + o)*(o + 2*o - o). 9*o**2 Expand (83 + 109*b - 83)*(5 - 3*b - 5). -327*b**2 Expand g**5 - g**5 + g**5 + 2*g**5 + 6*g**3 - 6*g**3 + (2 + 2 - 2)*(0*g**4 - 2*g**5 + 0*g**4). -g**5 Expand (1 - 1 - 2*v)*(-4*v + v**2 - 3*v**2 + 5*v + (-2*v + 4*v + 0*v)*(-v - 3*v + 5*v) - 5*v**2 + 2*v**2 + 2*v**2)*(38*v + 278*v + 52*v). 736*v**4 - 736*v**3 Expand (2 + 21 + 21)*(d**2 - 4*d**2 - d**2). -176*d**2 Expand (-32 - 2 + 8)*(0*o + 0*o + 2*o)*(3 + 1 - 1). -156*o Expand (3*x**2 - 1 + 1)*(1 - 2*x**3 - 1)*(3 + 1 - 6)*(0 + 0 + 2). 24*x**5 Expand (z**3 + z - z)*((-4 - 1 + 3)*(-3 + 6 + 0) - 1 + 2 + 1 + (-2 + 4 - 4)*(-11 + 10 - 10)). 18*z**3 Expand (x + 4*x + 1 - x)*(164*x**3 + 12*x**3 - 99*x**3). 308*x**4 + 77*x**3 Expand (839 - 839 - 52*k)*(-k - k + 0*k). 104*k**2 Expand (-247 - 291 + 154)*(2*w - w - 2*w). 384*w Expand (0*o - 4*o + 6*o)*(5*o**4 + 6*o**4 - 3*o**4 + (4
{ "pile_set_name": "DM Mathematics" }
st common factor of 60 and a? 15 Let h be (21/(-9) + 5)/(11/165). Calculate the highest common divisor of h and 20. 20 Let l(x) = 56*x - 40. Let g be l(5). What is the highest common divisor of 45 and g? 15 Suppose -2*j = -10, -23*j + 20*j = 2*b - 31. Calculate the greatest common factor of 12 and b. 4 Suppose 0 = 2*b - 43 - 21. Let o be (-37)/6 + 2/12. Let r be (-20)/o*120/25. Calculate the greatest common divisor of b and r. 16 Let s(a) = -8*a - 3. Let c be s(0). Let f be (150/18 + c)/((-4)/(-138)). Suppose 3*z - 6 - 63 = 0. Calculate the greatest common factor of f and z. 23 Let b(u) = u**2 + 11*u + 2. Let q be b(-10). Let a be (-82)/(-4) - (12/q + 0). What is the highest common factor of 22 and a? 22 Let q be 6 + -7 + (-3)/(-1). Suppose -2*y = q*y - 20. Suppose 0 = y*d + 2*k - 64 - 95, 4*d = -5*k + 117. What is the highest common factor of d and 363? 33 Suppose -5*j = -0*j + 50. Let n be j/(-2)*8/5. Let v be -7 + 4 + -3 - -14. What is the greatest common divisor of n and v? 8 Let a be (16/24)/(2/39). Let m = 21 - -5. Calculate the highest common divisor of a and m. 13 Let d be (4 + 118)*(-6)/12*-1. Let f(r) = -r**2 - 2*r - 1. Let i be f(-1). Suppose i = -3*p + 11 + d. What is the highest common factor of p and 168? 24 Suppose 947*s - 953*s + 18 = 0. Let r be 25 - (2/2 + 0). Suppose -s*k + r = -6. What is the greatest common divisor of k and 40? 10 Suppose -t + 125 = 4. Let x(h) = h**2 - h - 1. Let b be (4 - 3)*(-4 + 1). Let c be x(b). What is the highest common factor of c and t? 11 Let f(g) = -g**3 + 9*g**2 - 8*g - 3. Let l be f(7). Let r = 14 + -11. Suppose r*m - 6*m + l = 0. Calculate the greatest common factor of m and 13. 13 Suppose -12*p - 1248 = -64*p. Suppose 0*l - 3 = -l. Calculate the highest common divisor of p and l. 3 Let y = 340 + -160. Let w = -4 - -22. Calculate the greatest common factor of w and y. 18 Let m = 9 - 3. Suppose x = m*x + 240. Let y be (x/15)/(2/(-10)). What is the highest common factor of y and 48? 16 Let z = 5 + -7. Let f be (-5 + (-7)/(-7))/(1/z). Calculate the highest common factor of f and 32. 8 Let k = 173 + -51. Let h = -54 - 11. Let g = h + k. What is the highest common divisor of g and 19? 19 Let p = -273 - -274. Suppose 0*r = -5*r. Suppose r = i - c - 9, -4*i - 1 = 2*c - 31. Calculate the greatest common factor of i and p. 1 Let q(g) = 2*g - 22*g**2 - 29*g**2 + 73*g**2. Let r be q(1). What is the highest common factor of 3 and r? 3 Let r = -1406 + 1995. Calculate the greatest common factor of 19 and r. 19 Let c(n) = -17*n**3 - 2*n**2 - 3*n - 2. Suppose 4*r = 4 - 8. Let d be c(r). What is the highest common factor of d and 144? 16 Suppose 0 = 10*p + 13*p - 3381. Calculate the greatest common divisor of p and 21. 21 Let h be 4/(1 - -3)*0. Suppose h = -4*b + 10*b - 840. What is the highest common divisor of b and 14? 14 Let o = 68 + -44. Suppose 0 = -2*u + t - 5*t + 176, 3*t = 3*u - 300. Calculate the greatest common divisor of o and u. 24 Let u be -20*(-6 + (-759)/(-110))*10/(-12). Suppose 2*i - 147 = i. Suppose -i = -z - 27. Calculate the highest common factor of z and u. 15 Let s be -2 + (5 - 1) - 0. Suppose -3*t + 19 = -s*t. Calculate the greatest common factor of t and 38. 19 Let k(g) = -g**3 - 5*g**2 + 6*g + 3. Let q be (-6)/(-2)*(-2 + 0). Let b be k(q). Let m be (-13 + b)*(-28)/8. What is the greatest common factor of m and 5? 5 Suppose f - 2*f = 6. Suppose g - 20 = 2*i, 6*i - 9*i + 2*g - 31 = 0. Let v be (100/f - -4)*i. What is the highest common divisor of v and 19? 19 Let b be 8/20 + (-586)/(-10). Calculate the greatest common factor of b and 4130. 59 Let y be (-20)/10 + (10 - -2). What is the highest common factor of 25 and y? 5 Suppose -75*x + 65 = -10. Suppose -6*i = -i - 25. Calculate the greatest common factor of x and i. 1 Suppose -5*r + 2*k + 62 = -296, 4*r + k = 289. Calculate the highest common factor of 360 and r. 72 Let s(x) be the first derivative of -5*x**2/2 + 24*x + 1. Let f be s(-10). Calculate the greatest common divisor of f and 111. 37 Let u be 71 - (9 + -10 - 8). Calculate the greatest common factor of 520 and u. 40 Let g(p) = p**2 - 9. Let b be g(-9). Suppose -9*m - 2 = -10*m. Suppose -m*c = -21 + 5. What is the highest common divisor of c and b? 8 Suppose 72 = 9*m - m. Suppose 3*v - 3*n - 534 = 0, 5*v + 696 = m*v + 4*n. Calculate the highest common factor of 22 and v. 22 Let i(m) = 12*m - 4. Let f be i(5). Suppose 5*x - 7*k - 56 = 0, 29 + 3 = 3*x - 5*k. What is the highest common divisor of f and x? 14 Let h(q) = -q - 6. Let f be h(-9). Suppose -6 = -3*l - 12. Let m be ((5 + -3)*-10)/l - -2. Calculate the greatest common divisor of f and m. 3 Let b(s) = -2*s**2 - 2*s**2 - 16*s - 4 - 11 + 2*s**2. Let k be b(-6). What is the highest common divisor of 27 and k? 9 Let g(i) = -7*i - 21. Let s be (3 - -3)/3 + -14. Let z be g(s). What is the greatest common factor of 9 and z? 9 Suppose 2*p - 24 = -0*p. Suppose 0 = -10*a + 18*a - 32. What is the highest common factor of p and a? 4 Let z(r) = 41*r - 4. Let k be 2 - (0 - 0 - -3). Let v(g) = -5*g - 2. Let p be v(k). Let s be z(p). What is the highest common divisor of s and 17? 17 Let l = -14 - -90. Suppose 10*j = -16 + l. Let v be 2 + 6 - (-1 + 0). Calculate the greatest common factor of j and v. 3 Let x = 539 + -537. Calculate the highest common factor of 109 and x. 1 Suppose -126 = -13*p + 1434. What is the greatest common divisor of 44 and p? 4 Let y(i) = -14*i**3 + 4*i**2 + 6*i + 4. Let z be y(-2). Calculate the greatest common factor of 24 and z. 24 Let j(v) = 28*v - 96. Let x be j(7). Calculate the greatest common divisor of x and 80. 20 Suppose 2*k + 5*f = 106, 5*f = k + 3*k - 212. Let b = k - 38. Let a(h) = -h**2 + 26*h - 18. Let m be a(17). Calculate the greatest common divisor of m and b. 15 Let b = 344 - 228. Suppose -f - b = f. Let n = -38 - f. Calculate the highest common factor of n and 80. 20 Suppose 0 = 10*z + 58 - 218. Calculate the highest common divisor of 232 and z. 8 Suppose -3*g = -2*r - 155 - 65, -g - 3*r = -66. Suppose -2*s - 5*c = -64, -3*c - 57 - 39 = -3*s. Let j = g - s. What is the highest common factor of j and 8? 8 Let d = 143 + -68. Let u be d/(-6)*(-12)/10. What is the highest common factor of u and 6? 3 Let o = 211 + 293. What is the highest common factor of o and 630? 126 Let d = 2 - 2. Suppose d*c - 3 = -c. Let b(q) = q**3 - 2*q**2 + 4. Let i be b(c). What is the highest common factor of 52 and i? 13 Let i be (230/(-40))/((-2)/16). What is the highest common factor of i and 322? 46 Let a be -3*(-12)/(-54)*(-214 + -2). What is the greatest common divisor of 180 and a? 36 Let c be 7/(245/4417) - (-2)/(-10). Let r be ((-7)/(-21))/(2/c). What is the greatest common divisor of r and 14? 7 Let o = -1 - 6. Let i = 190 - 178. Let f = i + o. Calculate the greatest common divisor of 25 and f. 5 Let z be (-28)/49 + (-580)/14. Let x = -22 - z. What is the greatest common divisor of 5 and x? 5 Suppose -3*c + 29 = -34. Calculate the highest common divisor of 1 and c. 1 Let i be 3/2*(14 - -184 - 0/(-2)). Suppose 2*s = 54 + 12. Calculate the highest common factor of s and i. 33 Suppose 0 = 5*g - c - 307, g - c - 65 = c. Let d be 610/6*(-150)/(-125). What is the greatest common divisor of d and g? 61 Let b(u) = 4*u**2 - 4. Let c be b(2). Suppose -p = 3*p - c. Suppose -n = n + 4*o - 36, p*n - 59 = -o. Calculate the greatest common factor of 4 and n. 4 Let i(j) = -155*j**3 - 2*j**2 - 4*j - 3. Let l be i(-1). Suppose -l = -9*r - 2*r. Calculate the greatest common divisor of r and 154. 14 Let l(z) = z**3 - 9*z**2 - 9*z - 5. Let n be l(10). Suppose n*a = j + 34, -5 = -6*j + j. What is the greatest common divisor of a and 77? 7 Suppose 6 = 3*x, 5*k + 5*x + 6 = -34. Let b(z) = z**3 + 10*z**2 + 4. Let j be b(k). What is the highest common factor of j and 44? 4 Suppose 20*o - 27*o = -28. What is the greatest common factor of o and 20? 4 Let i be (-24)/168 - (-2)/14. Let l be ((-3)/(-9) - i) + (-106)/(-6). What is the highest common divisor of l and 90? 18 Let b(m) = -8 - 14*m - 3*m**2 + 0 + 0 + 1. Let s be b(-4). What is the highest common factor of s and 5? 1 Let h(u) be the first derivative of u**3/3 - 3*u**2/2 + 3*u - 3. Let p be h(2). Suppose 4*t - 5 = -t. What is the highest common factor of t and p? 1 Let o be 0
{ "pile_set_name": "DM Mathematics" }
What is the t'th term of -767, -1270, -441, 2386, 7877, 16698, 29515? 111*t**3 - 1280*t + 402 What is the i'th term of 3187016, 3187002, 3186988, 3186974, 3186960? -14*i + 3187030 What is the k'th term of -879985, -880008, -880031, -880054? -23*k - 879962 What is the d'th term of 238239, 476485, 714731, 952977, 1191223, 1429469? 238246*d - 7 What is the x'th term of 3214718, 12858764, 28932174, 51434948, 80367086, 115728588, 157519454? 3214682*x**2 + 36 What is the a'th term of 22893, 93656, 211595, 376710? 23588*a**2 - a - 694 What is the h'th term of -4708, -1434, 4024, 11666, 21492, 33502? 1092*h**2 - 2*h - 5798 What is the s'th term of 132938, 531323, 1195298, 2124863, 3320018, 4780763, 6507098? 132795*s**2 + 143 What is the v'th term of -73989, -74454, -74919, -75384? -465*v - 73524 What is the h'th term of 3445709, 6891424, 10337139? 3445715*h - 6 What is the t'th term of 74936538, 149873070, 224809602, 299746134? 74936532*t + 6 What is the l'th term of 2027582, 2027577, 2027572, 2027567? -5*l + 2027587 What is the t'th term of 1767, 5766, 12445, 21804, 33843, 48562, 65961? 1340*t**2 - 21*t + 448 What is the a'th term of 857, 6973, 23493, 55619, 108553, 187497, 297653? 867*a**3 + 47*a - 57 What is the q'th term of -1873, -8175, -18701, -33445, -52401, -75563, -102925, -134481? q**3 - 2118*q**2 + 45*q + 199 What is the c'th term of 394102, 1576408, 3546910, 6305608, 9852502, 14187592, 19310878? 394098*c**2 + 12*c - 8 What is the s'th term of -9678, -19588, -29522, -39480, -49462, -59468? -12*s**2 - 9874*s + 208 What is the o'th term of 10655257, 21310517, 31965777, 42621037, 53276297, 63931557? 10655260*o - 3 What is the w'th term of 1551677046, 1551677039, 1551677028, 1551677013, 1551676994, 1551676971, 1551676944? -2*w**2 - w + 1551677049 What is the c'th term of -168070, -335697, -503324? -167627*c - 443 What is the y'th term of 6408, 6354, 6258, 6114, 5916, 5658, 5334, 4938? -y**3 - 15*y**2 - 2*y + 6426 What is the l'th term of -613933, -613947, -613961, -613975, -613989, -614003? -14*l - 613919 What is the z'th term of -829999, -3319976, -7469941, -13279894, -20749835, -29879764, -40669681? -829994*z**2 + 5*z - 10 What is the q'th term of 203861, 203845, 203829, 203813, 203797? -16*q + 203877 What is the o'th term of 87930295, 175860586, 263790875, 351721162? -o**2 + 87930294*o + 2 What is the q'th term of 1221, 2250, 3091, 3744, 4209, 4486? -94*q**2 + 1311*q + 4 What is the i'th term of 1487972, 1486229, 1483316, 1479227, 1473956, 1467497? -i**3 - 579*i**2 + i + 1488551 What is the f'th term of 1738, 3043, 4356, 5677, 7006? 4*f**2 + 1293*f + 441 What is the p'th term of -2436842, -9747372, -21931590, -38989496, -60921090, -87726372? -2436844*p**2 + 2*p What is the d'th term of 382235, 382317, 382399, 382481? 82*d + 382153 What is the u'th term of 9074, 17868, 26650, 35420? -6*u**2 + 8812*u + 268 What is the m'th term of -2718, -4410, -6104, -7800, -9498? -m**2 - 1689*m - 1028 What is the q'th term of -2458918, -4917835, -7376752, -9835669, -12294586? -2458917*q - 1 What is the s'th term of -2461, -2203, -1777, -1177, -397? s**3 + 78*s**2 + 17*s - 2557 What is the b'th term of -24863, -99444, -223753, -397796, -621579, -895108? -b**3 - 24858*b**2 - 4 What is the l'th term of 446557, 446566, 446575, 446584? 9*l + 446548 What is the v'th term of -5155212, -5155201, -5155190, -5155179, -5155168? 11*v - 5155223 What is the f'th term of 51113, 102579, 154043, 205505, 256965? -f**2 + 51469*f - 355 What is the d'th term of 1380, 1974, 2844, 4128, 5964, 8490, 11844, 16164? 23*d**3 + 433*d + 924 What is the a'th term of -82267, -82229, -82191, -82153? 38*a - 82305 What is the c'th term of 9045, 9049, 9049, 9045, 9037, 9025? -2*c**2 + 10*c + 9037 What is the z'th term of 1577007, 1577012, 1577017, 1577022? 5*z + 1577002 What is the w'th term of -12072, -24435, -37090, -50037? -146*w**2 - 11925*w - 1 What is the u'th term of -60931, -60981, -61069, -61201, -61383, -61621, -61921? -u**3 - 13*u**2 - 4*u - 60913 What is the p'th term of 143701, 144656, 145611, 146566, 147521? 955*p + 142746 What is the q'th term of -234794, -469592, -704394, -939200, -1174010, -1408824, -1643642? -2*q**2 - 234792*q What is the x'th term of -6578, -9519, -12460, -15401? -2941*x - 3637 What is the s'th term of 214644, 214625, 214592, 214545, 214484, 214409? -7*s**2 + 2*s + 214649 What is the n'th term of 538, 119, -958, -3023, -6406, -11437? -55*n**3 + n**2 - 37*n + 629 What is the u'th term of -33258, -132538, -298002, -529650? -33092*u**2 - 4*u - 162 What is the d'th term of -72212, -144668, -217110, -289532, -361928, -434292, -506618, -578900? d**3 + d**2 - 72466*d + 252 What is the y'th term of -1853, -1972, -2083, -2186, -2281? 4*y**2 - 131*y - 1726 What is the t'th term of 78350, 313393, 705136, 1253579? 78350*t**2 - 7*t + 7 What is the u'th term of 570823, 570876, 570917, 570940, 570939? -u**3 + 60*u + 570764 What is the h'th term of 5365469, 10730936, 16096403, 21461870? 5365467*h + 2 What is the r'th term of 57410, 53751, 47652, 39113, 28134, 14715? -1220*r**2 + r + 58629 What is the c'th term of -451, -3092, -9741, -22216, -42335, -71916? -303*c**3 - 186*c**2 + 38*c What is the b'th term of 422948, 422611, 422274, 421937, 421600, 421263? -337*b + 423285 What is the w'th term of 2730, 13262, 30816, 55392, 86990, 125610? 3511*w**2 - w - 780 What is the p'th term of 440685, 440724, 440789, 440880, 440997, 441140, 441309? 13*p**2 + 440672 What is the u'th term of 1450066, 5800240, 13050520, 23200906, 36251398, 52201996, 71052700? 1450053*u**2 + 15*u - 2 What is the k'th term of -1937068, -3874140, -5811212, -7748284? -1937072*k + 4 What is the i'th term of 52151051, 104302104, 156453157? 52151053*i - 2 What is the r'th term of -94328, -94228, -94128, -94028? 100*r - 94428 What is the f'th term of -707033, -2828047, -6363071, -11312105, -17675149? -707005*f**2 + f - 29 What is the h'th term of -6259, -24955, -56093, -99679, -155719? -h**3 - 6215*h**2 - 44*h + 1 What is the y'th term of -10, -202, -690, -1582, -2986, -5010, -7762? -18*y**3 - 40*y**2 + 54*y - 6 What is the q'th term of -1828, -3686, -5560, -7450, -9356? -8*q**2 - 1834*q + 14 What is the l'th term of 13756, 37359, 60962, 84565, 108168? 23603*l - 9847 What is the u'th term of 125443, 250933, 376463, 502033? 20*u**2 + 125430*u - 7 What is the m'th term of 13427, 13428, 13425, 13418, 13407? -2*m**2 + 7*m + 13422 What is the l'th term of -1828400, -1827804, -1826810, -1825418, -1823628, -1821440, -1818854? 199*l**2 - l - 1828598 What is the x'th term of 869284, 869635, 869986, 870337, 870688, 871039? 351*x + 868933 What is the g'th term of 951, -5184, -11319, -17454? -6135*g + 7086 What is the a'th term of 5367056, 5367076, 5367120, 5367200, 5367328, 5367516, 5367776? 2*a**3 + 6*a + 5367048 What is the a'th term of -36907, -74705, -112499, -150289, -188075, -225857, -263635? 2*a**2 - 37804*a + 895 What is the k'th term of -67, -614, -1629, -3112, -5063? -234*k**2 + 155*k + 12 What is the i'th term of -661, 3, 2025, 5411, 10167, 16299, 23813, 32715? i**3 + 673*i**2 - 1362*i + 27 What is the v'th term of -8327726, -8327729, -8327732, -8327735, -8327738, -8327741? -3*v - 8327723 What is the y'th term of -7955, -9918, -11881, -13844? -1963*y - 5992 What is the x'th term of -1631, -4833, -8035, -11237, -14439, -17641? -3202*x + 1571 What is the r'th term of -4619, -9235, -13851, -18467, -23083, -27699? -4616*r - 3 What is the n'th term of -1007330, -2014690, -3022078, -4029494, -5036938, -6044410, -7051910? -14*n**2 - 1007318*n + 2 What is the b'th term of 6004, 5909, 5814, 5719, 5624, 5529? -95*b + 6099 What is the g'th term of -568741, -1137965, -1707189, -2276413, -2845637, -3414861? -569224*g + 483 What is the l'th term of 1, 338, 1575, 4264, 8957? 92*l**3 - 102*l**2 - l + 12 What is the n'th term of 222269, 444763, 667483, 890429, 1113601, 1336999, 1560623? 113*n**2 + 222155*n + 1 What is the w'th term of -651, -3322, -10035, -22812, -43675, -74646, -117747, -175000? -337*w**3 + w**2 - 315*w What is the s'th term of -35239, -38424, -41609, -44794, -47979, -51164? -3185*s - 32054 What is the g'th term of 5616087, 5616086, 5616085, 5616084, 5616083? -g + 5616088 What is the t'th term of 15761, 262
{ "pile_set_name": "DM Mathematics" }
y**2. Suppose -8 = -4*t - 0. Suppose 4*n + z = 4*z + 36, 0 = -n - 2*z - t. Let k(v) = n - v - 6. What is x(k(c))? -c**2 Let c(b) = 2*b**2. Let m(z) = 10*z + 25 - 25. Calculate m(c(j)). 20*j**2 Let a = -32 + 55. Let g(h) = a + 4*h - 48 + 25. Let w(x) = 5*x**2. Determine w(g(z)). 80*z**2 Let z(l) = 4*l. Let r(w) be the second derivative of -w**5/60 - 5*w**3/6 - 5*w. Let h(n) be the second derivative of r(n). Give h(z(p)). -8*p Let s(u) = 48*u**2 + 15*u + 15. Let w(m) = -7*m**2 - 2*m - 2. Let y(k) = 2*s(k) + 15*w(k). Let t(d) = 2*d**2. Give t(y(r)). 162*r**4 Let m(s) = 3*s - 4*s + 2*s. Let o(v) be the second derivative of -v**4/4 - 4*v. Determine m(o(c)). -3*c**2 Suppose 5 = 5*f - 5. Let w(b) = -7 + 0 + f*b**2 + 7. Let l(c) = 2*c**2. Give l(w(o)). 8*o**4 Let f(a) be the third derivative of -1/24*a**4 + 0*a + 0*a**3 + 0 + 4*a**2. Let y(l) be the third derivative of l**4/6 - l**2. Give f(y(k)). -4*k Let y(q) = -307*q. Let p(z) = 4*z**2. Give p(y(x)). 376996*x**2 Let k(f) = 2*f. Let v(l) = -5378*l. Determine k(v(g)). -10756*g Let j(b) = 5*b**2. Let a(l) = -7*l + 1. Let d be 2/(-7) + (-5)/7. Let n be a(d). Let c(t) = -3*t**2 + t**2 + n - 8. Give c(j(g)). -50*g**4 Let y(v) = -v. Let r be -6 + (1 + -1 - -2). Let d be r/(-16) + (-131)/(-4). Let g(j) = 3*j + 33 - d + 3*j. Calculate y(g(b)). -6*b Let y(i) = 20*i + 9. Let q(k) = -5*k - 2. Let u(l) = 9*q(l) + 2*y(l). Let o(r) = -r**2. Give u(o(f)). 5*f**2 Let s(a) = 4*a**2 - 5. Let w(q) = 3*q**2 - 4. Let z(f) = -4*s(f) + 5*w(f). Let p(i) = i**2. Calculate z(p(y)). -y**4 Let s(h) = h + 5. Let u(i) = 2*i. What is u(s(b))? 2*b + 10 Let t(r) = -r**2 + 0*r**2 + 0*r**2 + 6*r**2. Suppose 8 = 3*z + z. Let j(w) = 2*w + 0*w - 2 + z. Give j(t(x)). 10*x**2 Let l(g) = 7*g**2 - 6*g + 6. Let i(t) = -8*t**2 + 7*t - 7. Let x be 4/(-6) - (-115)/15. Let h(j) = x*l(j) + 6*i(j). Let z(d) = 2*d. Calculate h(z(p)). 4*p**2 Let t(k) = 5 - 5 + k. Let w(l) = 7*l**2 + 6*l - 6. Let x(c) = 20*c**2 + 17*c - 17. Let j(d) = 17*w(d) - 6*x(d). What is t(j(b))? -b**2 Let d(v) = -2*v**2. Let b(k) = -254*k. Calculate d(b(q)). -129032*q**2 Let a(u) be the first derivative of u**2 + 1. Let b(s) = 5*s. Calculate b(a(d)). 10*d Let l(r) = 5*r**2. Let o(g) = 2. Let j(s) = -s - 7. Let m(x) = 4*j(x) + 14*o(x). Give m(l(q)). -20*q**2 Let m(b) be the second derivative of -b**3/2 - 5*b. Let r(c) = c**2. What is r(m(t))? 9*t**2 Let g(w) = 4*w**2. Let l(c) = -2*c**2 - 28. Give l(g(s)). -32*s**4 - 28 Let l = 1 - -1. Let r(g) be the first derivative of 22*g - 2 + g**l - 22*g. Let d(p) = 7*p. Determine d(r(c)). 14*c Let m(x) = -16*x. Let q(w) be the third derivative of w**4/24 + 3*w**2. What is q(m(u))? -16*u Let k(d) be the third derivative of -d**5/60 - 8*d**2. Let v(b) be the first derivative of 2*b**3/3 - 1. Give k(v(a)). -4*a**4 Let f(k) = -5*k - 5*k + 7*k. Let y(z) = -z**2. Determine y(f(o)). -9*o**2 Let q(v) = 382*v**2 + 2. Let j(k) = -k. Determine q(j(y)). 382*y**2 + 2 Let f(i) = 2*i**2. Let c(s) = 1248*s**2. Determine f(c(u)). 3115008*u**4 Let x(y) = -2*y. Let n(b) = -11587*b**2. Calculate x(n(c)). 23174*c**2 Let z(y) = y. Let n(u) = 2151*u**2. Determine n(z(f)). 2151*f**2 Let n(x) = 2*x. Let v(y) be the first derivative of -4*y**3/3 + 7. Determine v(n(c)). -16*c**2 Let x(a) = -a + a - 4*a. Let v(m) be the third derivative of 0*m**3 + m**2 + 1/12*m**4 + 0*m + 0. Calculate v(x(k)). -8*k Let n(d) = 1175*d**2. Let b(t) = 2*t. Give n(b(l)). 4700*l**2 Let o(k) = k + 1. Let g(t) be the third derivative of -11*t**4/24 - t**3 - 2*t**2. Let a(y) = g(y) + 6*o(y). Let u(m) = -m**2. Calculate u(a(r)). -25*r**2 Let k(j) = -12*j. Let b(a) = 3*a**2 - 1. What is k(b(z))? -36*z**2 + 12 Let y(z) be the third derivative of 0*z**4 + 0*z**3 + 0*z - 1/20*z**5 + 0 - 2*z**2. Let c(x) = -4*x**2 + 0*x**2 + 2*x**2. Calculate y(c(p)). -12*p**4 Let t(j) = j**2. Let p(o) = 9*o. Give p(t(k)). 9*k**2 Let q(n) = -n**2. Let b = 0 + -2. Let r = 0 - b. Let z(c) = -3*c**2 + 2*c**2 - c**r. What is z(q(s))? -2*s**4 Let f(i) = 51*i**2. Let l(p) = -330*p**2. What is l(f(x))? -858330*x**4 Let q(z) be the second derivative of z**4/6 + 67*z. Let d(h) = 0*h - h - 8*h. Calculate d(q(b)). -18*b**2 Let t(j) = j. Let s(x) = x**3 + x**2 - 4*x - 3. Let u be s(-2). Let w(z) = 2 + u - 2. Let c(g) = 2*g - 12. Let p(v) = -c(v) - 12*w(v). Give t(p(y)). -2*y Let t(r) = 31*r**2. Let b(p) = -10*p. Give b(t(j)). -310*j**2 Let f(p) = p + 5. Let m(o) = o + 6. Let z(c) = -6*f(c) + 5*m(c). Let a(u) be the first derivative of 2/3*u**3 + 0*u + 0*u**2 + 3. Determine a(z(v)). 2*v**2 Let a(f) = f. Let w(q) = -q - 6. Let b(g) = 5*g + 25. Let k(s) = 6*b(s) + 25*w(s). Give k(a(u)). 5*u Let s(w) = w. Let a(x) be the first derivative of -25*x**2/2 - 7. Calculate s(a(b)). -25*b Let y(k) = -2*k**2 + k**2 + 2*k**2. Let c(l) be the second derivative of 0*l**2 - 1/6*l**4 + 0 + 2*l + 0*l**3. Calculate y(c(x)). 4*x**4 Let g(v) = -4*v. Suppose 0 = -4*w - 0*w + 20. Let s(h) = h + 1. Let a(k) = -k**2 + 5*k + 5. Let z(m) = w*s(m) - a(m). Determine g(z(f)). -4*f**2 Let t(d) = d**2 - 3*d + 2. Let n be t(3). Let f(m) = -6*m + 2*m + n*m. Let k(r) = -4*r. What is k(f(x))? 8*x Let u(t) = -7*t + 5. Let q(s) = -6*s + 4. Let g(b) = -5*q(b) + 4*u(b). Let y(x) be the second derivative of x**3/2 - 3*x. Calculate g(y(r)). 6*r Let i(b) be the first derivative of -b**2/2 - 1. Let j(q) = 2*q - 1. Let l be j(2). Let g(a) = -l*a + 5*a + a + 4*a. Calculate g(i(u)). -7*u Let p(t) = 5*t. Let x(d) = -34*d**2. Determine x(p(u)). -850*u**2 Let b(u) = -18*u**2 + 3*u**2 - u**2 + 12*u**2. Let r(h) = h. What is b(r(c))? -4*c**2 Let d(w) = -2*w**2 - 3*w - 3. Let r(a) = -a - 1. Let p(g) = d(g) - 3*r(g). Let h(n) = -n**2. Give p(h(s)). -2*s**4 Let q(z) = 5*z - 15*z + 8*z. Let w(i) = -12*i**2. What is w(q(x))? -48*x**2 Let z(l) be the second derivative of l**3/3 + 8*l. Let g(h) = 7*h. Give g(z(m)). 14*m Let w(a) = -55 + 55 + a. Let v(s) be the first derivative of 5*s**2/2 + 2. Determine v(w(m)). 5*m Let h(n) = n**2 + 1. Let z(p) = -1. Let c(a) = -h(a) - 4*z(a). Let x(o) be the first derivative of c(o). Let f(u) = 7*u**2. What is f(x(d))? 28*d**2 Let z(c) = 37*c. Let f(n) = 2*n**2 - 143. Determine z(f(x)). 74*x**2 - 5291 Let o(s) = -s**2 + 4. Let f(u) = -24*u**2. Give f(o(x)). -24*x**4 + 192*x**2 - 384 Let y(f) = -7*f. Let s(l) = -155*l**2. Give y(s(g)). 1085*g**2 Let l(p) = -p**2 - 6*p**2 + 8*p**2. Let r(m) = 23*m. What is l(r(q))? 529*q**2 Let p(w) = -13*w - 11. Let a(n) = 2 + 0*n - 5 - 3 - 7*n. Let c(z) = 11*a(z) - 6*p(z). Let l(u) be the third derivative of -u**4/24 - u**2. What is l(c(d))? -d Let m be 1 - (-6)/(1 + 0). Let x = 1 + 6. Let n(g) = -2*g - m + x. Let f(c) = 2*c**2. Give n(f(y)). -4*y**2 Let d = -11 + 11. Let k(j) = j + 5*j + d*j - 4*j. Let y(w) = 4*w**2. What is y(k(c))? 16*c**2 Let x(c) = -9*c. Let v(t) be the third derivative of t**5/10 + 26*t**2. Give x(v(j)). -54*j**2 Let s(d) = -d**2. Let h(x) = -1607*x + 6. What is s(h(g))? -2582449*g**2 + 19284*g - 36 Let p(g) = 3*g. Let b be (0 - 1) + 5 + 0. Let l(u) = 0*u + b*u + 2*u - 8*u. Determine p(l(c)). -6*c Let c(u) = 0*u**2 + 2*u**2 + 5*u**2. Let i(x) = x**2. Give c(i(l)). 7*l**4 Let m(l) = 32*l. Let u(t) = t**2 - 3*t**2 + 3*t**2 - 3*t**2. Give m(u(a)). -64*a**2 Let h(f) = 10*f**2 + 11. Let y = -4 - -2. Let s(p) = -p**2 - 1. Let j(q) = y*h(q) - 22*s(q). Let m(u) = u - 3*u + 3*u. Calculate j(m(d)). 2*d**2 Let y(d) = -11*d - 17. Let c(f) = -2*f - 3. Let s(q) = 34*c(q) - 6*y(q). Let u(b) = 11*b. Give s(u(j)). -22*j Let j(s) = -5*s. Let n(r) be the first derivative of 9*r**2/2 + 11. Calculate n(j(t)). -45*t Let a(y) = 2*y**2 - 3. Let m(f) = -2*f**2 + 2. Let i(u) = -2*a(u) - 3*m(u). Let r(g) = 12*g. Determine i(r(n)). 288*n**2 Let z(h) = -h**2 + h. Let b(l) = 8*l**2 - 6*l. Let s(j) = b(j) + 6*z(j). Let r(f) = 11*f + 3*f - 3*f. What is s(r(c))? 242*c**2 Let i(k) be the first derivative of -1/2*k**2 + 0*k + 1. Let f(o) = -4*o**2. Determine f(i(d)). -4*d**2 Let h(c) = 2*c - 3. Let g(i) = -i + 1. Let u(m) = 6*g(m) + 2*h(m). Let d(k) = 13*k**2. Determine u(d(j)). -26*j**2 Let l(v) = v**2 - v + 1. Let q(m) = 5*m**2 - 3*m + 3. Let h(o) = 3*l(o) - q(o). Let f(s) = -s**2. Give f(h(c)). -4*c**4 Let w(r) = -162*r**2 + r. Let h(f) = 2*f**2. Give h(w(p)). 52488*p**4 - 648*p**3 + 2*p**2 Let f(c) = -17*c - 1. Let z
{ "pile_set_name": "DM Mathematics" }
erivative of f**3/6 + 8356*f. Let r(s) = -13*s + 77. Give r(b(m)). -13*m + 77 Let t(u) = -5916*u. Let x(l) = -87*l. Let q(h) = -6*t(h) + 406*x(h). Let d(o) be the second derivative of -o**4/12 + 2822*o. What is d(q(c))? -30276*c**2 Let f(n) = -2*n**2. Suppose -6*d - 8780 = -11*d. Let z(t) = 911*t**2 + 731*t**2 - d*t**2. Calculate z(f(m)). -456*m**4 Let m(q) be the first derivative of 5*q**2/2 + 6*q - 105. Let c(t) = 27*t + 32. Let p(w) = 4*c(w) - 22*m(w). Let g(h) = h. Determine p(g(a)). -2*a - 4 Let d(r) = -4*r**2. Let p(a) = 12*a**2 + a - 339213. Determine p(d(u)). 192*u**4 - 4*u**2 - 339213 Let c(r) = -6*r**2. Let q(u) = -6*u. Let t(z) = 22*z. Let x be t(4). Let o(h) = h - x + 2*h + 88. Let k(g) = 7*o(g) + 3*q(g). Calculate k(c(a)). -18*a**2 Let u(l) = 564876537*l**2. Let k(x) = x. Give k(u(j)). 564876537*j**2 Let c(j) = 4*j. Let y(k) be the first derivative of -20*k**3/3 + 13*k + 14. Let t(r) be the first derivative of y(r). Determine t(c(x)). -160*x Let i be ((-8)/(-1))/((-22)/(-33)). Let p(w) = -i*w + 0*w + 10*w + w. Let k(g) = 7*g + 6. Let u(a) = a + 1. Let x(s) = k(s) - 6*u(s). Calculate x(p(t)). -t Let x(f) = 9085*f**2 - 154*f. Let h(m) = 12*m. Give h(x(n)). 109020*n**2 - 1848*n Let d(w) = -w**2. Let b(a) = 9*a. Let z = 869 - 873. Let h(c) = -c. Let m be (-2)/4 + (-1)/2. Let n(x) = m*b(x) + z*h(x). What is d(n(s))? -25*s**2 Let b(s) be the first derivative of 1/2*s**2 + 0*s - 117. Let z(o) = -o + 64. Calculate b(z(u)). -u + 64 Let m(l) = 200*l. Let h(p) = -160539*p**2. What is h(m(g))? -6421560000*g**2 Let k(j) = 1141567*j**2 + 6*j. Let g(i) = 4*i**2. Give k(g(s)). 18265072*s**4 + 24*s**2 Let s be -1 + 4/6 + (-97)/(-3). Let w(r) = -s - 46 - r + 78. Let j(n) = -5*n + 12. Calculate w(j(h)). 5*h - 12 Let h(b) = -2*b + 24. Let n be ((-4)/4)/(3 + (-38)/12). Let w(x) = 34*x**2 - 33*x**2 + 6*x - n*x. Calculate h(w(p)). -2*p**2 + 24 Let t(j) = -2*j**2. Let u(a) = -7*a - 593. Let g(k) = -20*k - 1644. Let y(q) = -5*g(q) + 14*u(q). What is t(y(m))? -8*m**2 + 656*m - 13448 Let l(m) = -33*m. Let y be ((-10)/2 - -5350) + -2. Let h(f) = -3*f + 5343 - y. Calculate h(l(q)). 99*q Let k(r) = -3*r. Let x(l) = 2272*l - 1135*l + 411*l**2 + 505*l**2 - 1137*l. Give x(k(j)). 8244*j**2 Let m(x) = 26*x. Let k(o) = 7465*o - 61. Calculate k(m(y)). 194090*y - 61 Let q(s) be the third derivative of 3*s**4/8 + s**2 + 370. Let v(d) = 6*d - 1. Determine v(q(x)). 54*x - 1 Let n(d) = 2*d**2 + 444732*d - 1. Let h(f) = -126*f. What is n(h(y))? 31752*y**2 - 56036232*y - 1 Let m(i) be the second derivative of 2*i**4/3 + 82488*i. Let n(v) be the second derivative of -11*v**3/6 + v. Calculate m(n(f)). 968*f**2 Let m(x) = 2*x**2. Let a(y) = 495698*y**2 + 13*y. Determine a(m(i)). 1982792*i**4 + 26*i**2 Let z(s) be the third derivative of -s**5/3 + 4356*s**2. Let x(h) = -307*h. Determine z(x(o)). -1884980*o**2 Let b(t) = -5*t**2. Suppose 3*v + v + 15 = u, 0 = 2*u + 3*v + 3. Let g(w) = 46*w**2 - 3*w - 48*w**2 + u*w. What is g(b(s))? -50*s**4 Let q(p) = -9*p**2 + 3*p**2 - p + p. Suppose -2*z = -4*z + 10. Let h(c) = -4*c + z*c + 3*c - 2*c. Determine q(h(r)). -24*r**2 Let m(i) be the third derivative of 0 + 0*i**3 + 246*i**2 + 0*i + 0*i**4 + 1/60*i**5. Let a(v) = v - 8*v - 2*v. Determine m(a(n)). 81*n**2 Let i(k) = -4*k - 2*k + 6*k - k. Let t(u) = 1605*u. Let r(n) = 123*n. Let y(c) = -105*r(c) + 8*t(c). Calculate i(y(s)). 75*s Let o(c) = c - 123. Let m(r) = -75*r - 15. Let b(t) = -106*t - 21. Let n(p) = -5*b(p) + 7*m(p). Calculate o(n(x)). 5*x - 123 Let o(z) = -2 + 3*z + 1 - 1 + 0. Let u(a) be the first derivative of 8*a**2 - 11*a - 178. Let f(p) = 11*o(p) - 2*u(p). Let i(h) = 6*h**2. Give i(f(t)). 6*t**2 Let t(i) = -20*i**2 + 2. Let g(x) = 61*x**2 - 7. Let z(o) = -2*g(o) - 7*t(o). Let r(d) = -d. Let y(j) = -7*j. Let v(b) = -6*r(b) + y(b). Give v(z(m)). -18*m**2 Let q(y) = -5*y**2 - 10*y**2 + 3*y**2. Let t(z) = 64*z**2 + 4*z + z - 5*z - 54*z**2. Determine q(t(g)). -1200*g**4 Let d = 132 + -130. Let p(k) = -6670*k**2 + 230. Let m(h) = -117*h**2 + 4. Let x(l) = d*p(l) - 115*m(l). Let u(a) = -2*a**2. Calculate u(x(j)). -26450*j**4 Let o(j) = 4*j. Suppose 0 = -5*q + 37 + 68. Let i = q + -25. Let a(w) = w**2 + 2. Let g(x) = -6*x**2 - 11. Let y(f) = i*g(f) - 22*a(f). What is y(o(k))? 32*k**2 Let a(w) = 5 - 61*w + 242*w - 155*w. Let x(d) = 3*d. Calculate a(x(p)). 78*p + 5 Let l(t) be the third derivative of 157*t**6/120 - 7*t**3 + 10*t**2 - 4. Let z(q) be the first derivative of l(q). Let s(b) = b**2. Give s(z(v)). 221841*v**4 Let g(w) = 4*w. Let z be 4/(0 + 9/((-45)/(-10))). Let d(y) = -31 + 7 - 19*y**2 - 36*y**z + 24. Give g(d(l)). -220*l**2 Let u(v) = -2*v + 2*v + 35*v**2. Suppose -275 = -10*y + 275. Let m(b) = -y*b**2 + 89*b**2 - 35*b**2. Determine u(m(c)). 35*c**4 Let i(o) be the third derivative of o**4/24 + 129*o**2 + 5. Let h(p) be the third derivative of 71*p**5/20 - 30*p**2. Determine h(i(s)). 213*s**2 Let q(g) = 7*g**2 + 39*g + 5. Let j(y) = 25*y + 158. What is j(q(f))? 175*f**2 + 975*f + 283 Let j(i) = 1721*i**2 - 3461*i**2 + 1729*i**2. Let y(a) = 2*a - 1. Give y(j(q)). -22*q**2 - 1 Let f(r) = -302*r**2 + 2*r + 92541. Let j(y) = -2*y**2. Give f(j(x)). -1208*x**4 - 4*x**2 + 92541 Let c(b) be the third derivative of -b**7/315 + 43*b**5/30 + 117*b**2. Let f(t) be the third derivative of c(t). Let w(s) = -3*s**2. Determine w(f(y)). -768*y**2 Let q(z) = -133*z - 38*z - 896*z + 46*z. Let h(g) = 2*g. Determine h(q(b)). -2042*b Let p(o) be the third derivative of -65*o**2 + 0*o**3 - 1/2*o**4 + 0*o + 0. Let d(a) be the first derivative of a**3/3 - 1. Give p(d(c)). -12*c**2 Let g(u) = 9624118*u. Let l(n) = -9*n. Determine g(l(a)). -86617062*a Let a(v) = -295*v**2 + 426. Let g(x) = 35*x + 3. Determine g(a(b)). -10325*b**2 + 14913 Let x(l) = -9*l**2 + l. Suppose -3*z + 5 = 3*y - 7, 4*y - 3*z - 30 = 0. Let b(m) = -y*m + 19*m - 12*m. What is b(x(s))? -9*s**2 + s Let u(s) = -9*s. Let d(v) = -44984137*v**2. Calculate d(u(n)). -3643715097*n**2 Let u(v) be the second derivative of v**3/6 + 29*v**2/2 - 126*v - 4. Let j(t) = -10*t**2. What is u(j(d))? -10*d**2 + 29 Let k(i) = 43*i. Let b(d) = -d**3 - 11*d**2 - 3*d - 21. Let j be b(-11). Let c(n) = -35*n**2 + j*n**2 + 22*n**2. What is k(c(r))? -43*r**2 Let v(d) = 3225*d - 139*d**2 - 3225*d. Let f(l) = -9*l**2. Calculate v(f(y)). -11259*y**4 Let n(x) = -3127 - 2*x + 6254 - 3127. Let u(q) = -8*q - 1. Give u(n(a)). 16*a - 1 Let c(b) be the first derivative of b**2 - 1. Let k(i) be the third derivative of 0*i + 30*i**2 - 1/24*i**4 + 0*i**3 + 0. Calculate c(k(f)). -2*f Let s(h) = -4*h. Let f(y) be the third derivative of 48*y**5/5 - 4078*y**2. Calculate s(f(l)). -2304*l**2 Let p(g) = -40*g**2 + 68*g - 167. Let q(y) = 7*y**2 - 12*y + 28. Let t(x) = -6*p(x) - 34*q(x). Let v(i) = -22*i. Give t(v(b)). 968*b**2 + 50 Let f be 0*(1*3 + (-40)/12). Suppose 2*i - 4*q + 8 = f, -2*q + 5*q - 11 = -i. Let l(y) = -y - y**i - 2*y + 3*y. Let w(x) = -8*x. Give l(w(s)). -64*s**2 Let n(d) be the second derivative of d**4/12 - 5756*d - 1. Let y(f) = 127*f**2. Determine n(y(c)). 16129*c**4 Let z(t) = 3*t. Let h(k) be the first derivative of -3*k**2 + 58 + 10*k**2 - 14*k**2 + 135. Give z(h(g)). -42*g Suppose -3*u = -8*u + 110. Let p(k) = u*k - 12*k + k. Let a(y) be the third derivative of y**4/12 + 127*y**2. Calculate p(a(v)). 22*v Let g(z) = 2547054*z. Let f(o) = -o**2. Determine f(g(k)). -6487484078916*k**2 Let u(k) = -3*k**2. Let o(c) = -5645832*c. What is u(o(h))? -95626256916672*h**2 Let f(x) be the third derivative of 0*x**3 + 1/12*x**4 - 14*x**2 + 0*x + 0. Let b(i) = -14*i**2. Determine b(f(w)). -56*w**2 Let m(s) be the third derivative of 0*s**3 - 93*s**2 + 0*s + 0 + 1/15*s**5 + 0*s**4. Let o(y) = y. What is m(o(i))? 4*i**2 Let f(z) = -56*z + 6349 - 74*z - 6351. Let a(w) = -8*w. Determine a(f(s)). 1040*s + 16 Let i(y) = 2*y. Let k(j) = 197*j + 104373. Calculate i(k(u)). 394*u + 208746 Let g(b) = -86970*b**2. Let l(x) = 761*x. Determine g(l(w)). -50366153370*w**2 Let k(x) = x**2 + 2*x + 408313. Let s(g) = -g. Determine s(k(c)). -c**2 - 2*c - 408313 Let t(p) = 237*p - 106*p - 131*p + 50*p**2. Let y(v) = 37*v. Calculate y(t(u)). 1850*u**2 Let b(r) = -2573*r. Let k(n) = 3493*n**2 - n. Determine b(k(d)). -8987489*d**2 + 2573*d Let x(b) be the first derivative of b**3/
{ "pile_set_name": "DM Mathematics" }
6/39 - 6*v**5/65 - 5*v**4/13 + 8*v**3/3 - 72*v**2/13 + 64*v/13 + 263. Solve m(b) = 0. -4, 1, 2 Suppose 660*k - 675*k = -60. Find d, given that -56/11*d**2 + k*d**3 + 34/11*d - 16/11*d**4 - 8/11 + 2/11*d**5 = 0. 1, 4 Let v(m) = -480*m**4 - 8616*m**3 - 386*m**2 + 594*m + 68. Let o(y) = 2*y**4 - 2*y**3 - y**2 + y. Let n(t) = 12*o(t) - v(t). Find i, given that n(i) = 0. -17, -1/6, 2/7 Let 184/7 - 12*m - 4/7*m**2 = 0. What is m? -23, 2 Let k(p) be the first derivative of p**5/12 - 23*p**4/24 - 5*p**3/3 - 5*p**2/2 - 6*p - 4. Let h(c) be the second derivative of k(c). Factor h(r). (r - 5)*(5*r + 2) Let k(h) be the first derivative of -h**4/2 + 2*h**3/3 - 5. What is r in k(r) = 0? 0, 1 Suppose -c = 47 + 23. Let w be 2/3*-6 - c/15. Find i, given that -2*i**3 - 8/3*i**2 + 4/3 + w*i = 0. -1, 2/3 Let a(x) be the first derivative of -x**6/540 - x**5/270 + x**4/54 + 8*x**2 + 17. Let z(m) be the second derivative of a(m). Factor z(c). -2*c*(c - 1)*(c + 2)/9 Let u(q) = 11*q**4 - 281*q**3 - 874*q**2 - 876*q - 294. Let w(j) = 16*j**4 - 421*j**3 - 1310*j**2 - 1314*j - 441. Let k(i) = -7*u(i) + 5*w(i). Factor k(h). 3*(h - 49)*(h + 1)**3 Let c = -7349 - -36534/5. Let f = -41 - c. Factor 4/5 + 2/5*l**2 - f*l. 2*(l - 2)*(l - 1)/5 Factor f**3 - 4*f**2 - 1/2*f**5 - 1 + 7/2*f + f**4. -(f - 1)**4*(f + 2)/2 Let r(g) be the first derivative of -2*g**3/3 + 25*g**2 + 153. Suppose r(d) = 0. Calculate d. 0, 25 Let g(h) be the third derivative of -h**6/210 + 2*h**5/105 + 8*h**4/21 - 64*h**3/21 - 429*h**2. Factor g(m). -4*(m - 4)*(m - 2)*(m + 4)/7 Factor -10/3 + 2*v**2 - 4/3*v. 2*(v + 1)*(3*v - 5)/3 Suppose 0 = -4*m - 1 + 5. Let h be m/(-4) + 49/(-28) - -13. Determine a so that -h*a**3 - 2/3*a + 5*a**2 + 20/3*a**4 + 0 = 0. 0, 1/4, 2/5, 1 Let g be 81/30 - (-15)/50. Let r(o) be the second derivative of -3*o - 10/9*o**g + 25/36*o**4 + 2/3*o**2 + 0. Solve r(y) = 0. 2/5 Suppose 581 = 4*g + 193. Let k = g - 94. Suppose 1/3 - 1/3*l**k - l + l**2 = 0. Calculate l. 1 Suppose 27/4*b**5 + 15*b + 0 + 111/2*b**4 + 39*b**2 - 465/4*b**3 = 0. Calculate b. -10, -2/9, 0, 1 Let w(j) be the first derivative of -5*j**4/4 + 55*j**3 + 360*j**2 + 740*j + 502. Factor w(q). -5*(q - 37)*(q + 2)**2 Let k(y) = 3*y**5 + y**3 + y**2 + y + 1. Let l(d) = -11*d**5 - 40*d**4 - 122*d**3 - 162*d**2 - 82*d - 2. Let i(f) = 2*k(f) + l(f). Factor i(n). -5*n*(n + 2)**4 Suppose 4*m - 161*u + 156*u = -17, 0 = 5*m + 5*u - 35. Solve 0*o + 0*o**m - 3/2*o**4 - 3/2*o**5 + 0*o**3 + 0 = 0. -1, 0 Let x(u) be the second derivative of -u**5/5 - 2*u**4 - 8*u**3 - 16*u**2 + 43*u. Factor x(v). -4*(v + 2)**3 Let v = 439/2 + -5487/25. Let r(p) be the third derivative of 0*p**3 + 4*p**2 + 0*p**4 + 1/175*p**7 + 0*p + 2/75*p**5 - v*p**6 + 0 - 1/1680*p**8. Factor r(d). -d**2*(d - 2)**3/5 Let a = 107 + -99. Let p be (-1)/a + (-150)/(-48). Suppose 0*o**2 - 6/5*o + 4/5 + 2/5*o**p = 0. What is o? -2, 1 Let o = 454 + -450. Let n(m) be the third derivative of 0*m + 1/5*m**5 + 5*m**2 - 9/8*m**o + 0 + m**3. Factor n(i). 3*(i - 2)*(4*i - 1) Let w(j) = -j**3 + 9*j**2 - 13*j + 13. Let t be w(7). Let k = -20 + t. Solve k + 2/3*d**3 - 4/3*d - 2/3*d**2 = 0. -1, 0, 2 Let l = -2609 + 18269/7. Let l*s**4 + 6/7 - 12/7*s**2 + 2/7*s + 2/7*s**5 - 4/7*s**3 = 0. What is s? -3, -1, 1 Factor 0 - 2/19*t**3 + 2/19*t + 0*t**2. -2*t*(t - 1)*(t + 1)/19 Let d be (-36)/(-40)*(1 - (-11)/(-33)). Let d*u + 6/5*u**2 + 0 + 3/5*u**3 = 0. Calculate u. -1, 0 Let v(x) be the second derivative of -x**8/3360 + x**7/252 + x**6/60 - 7*x**4/12 - 24*x. Let a(j) be the third derivative of v(j). Factor a(s). -2*s*(s - 6)*(s + 1) Let l(w) be the first derivative of w**7/210 + w**6/120 + 8*w**2 - 23. Let r(a) be the second derivative of l(a). Solve r(d) = 0. -1, 0 Let c(a) be the third derivative of a**5/12 - 10*a**4/3 - 85*a**3/6 - 7*a**2. Solve c(f) = 0. -1, 17 Factor -m**2 + 1 - 8 - 3 + 39*m + 1 - 29*m. -(m - 9)*(m - 1) Let l(y) = 3*y**2 + 5*y - 10. Let u be l(-3). Suppose 24*s - 94 = u. Let 2/13*a**s + 0*a + 2/13 - 4/13*a**2 + 0*a**3 = 0. Calculate a. -1, 1 Let l(t) be the first derivative of t**7/63 + t**6/45 - t**5/30 - t**4/18 + 3*t + 4. Let n(a) be the first derivative of l(a). Suppose n(f) = 0. Calculate f. -1, 0, 1 Let i(h) = -h. Let c = -18 + 16. Let l(x) = 2*x**2 - 14*x - 6. Let w(t) = c*l(t) + 36*i(t). Let w(o) = 0. What is o? -3, 1 Let y = 6 - 0. Suppose 0 = 3*h - y*h + 60. Determine v, given that -2*v**3 - 2*v - 8*v**2 + h*v**2 - 8*v**2 = 0. 0, 1 Let q = 5453/6 - 5443/6. Find y, given that -5/3*y - 5*y**3 - q*y**4 - 5*y**2 + 0 = 0. -1, 0 Let j = 733 - 283. Factor -49*t**2 - 375*t**4 - 16*t - 96*t**2 + 40*t + j*t**3 - 35*t**2. -3*t*(5*t - 2)**3 Let w(i) = -3*i**3 - i**2 - i - 1. Let l(j) = 22*j**3 + 8*j**2 + 5*j + 7. Let g(t) = 2*l(t) + 14*w(t). Factor g(f). 2*f*(f - 1)*(f + 2) Suppose -5*w + 4*d - 104 = 0, w = 3*w - 2*d + 42. Let f be (24/w)/(-2)*55. What is i in -6*i + f*i**3 - 75/4*i**2 + 3 - 45/4*i**4 = 0? -2/5, 1/3, 1, 2 Let i(o) be the third derivative of 0*o + 1/300*o**6 - 32*o**2 + 0*o**3 - 1/840*o**8 + 1/525*o**7 + 0*o**4 - 1/150*o**5 + 0. Factor i(d). -2*d**2*(d - 1)**2*(d + 1)/5 Let t(y) be the first derivative of -4*y**3/3 + 88*y**2 - 1936*y + 32. Factor t(c). -4*(c - 22)**2 What is s in 3/7*s + 0*s**4 - 6/7*s**3 + 0*s**2 + 3/7*s**5 + 0 = 0? -1, 0, 1 Let r(d) be the first derivative of -d**5 + 5*d**4/4 + 5*d**3/3 - 5*d**2/2 + 72. Solve r(v) = 0 for v. -1, 0, 1 Let w(o) = o**3 - 9*o**2 - 9*o - 7. Let n be w(10). Let g(a) = 3*a + 18. Let b be g(9). Factor -3*u + 4*u**n + 3*u + b*u**4 - 47*u**4. -2*u**3*(u - 2) Suppose 9 + 5 = 2*x + 5*s, -2*s = 4*x - 12. Solve -3/5*u**5 + 0 - 3/5*u + 0*u**4 + 0*u**x + 6/5*u**3 = 0. -1, 0, 1 Let p = -63 + 70. Let v(w) be the second derivative of 0 + 0*w**2 + 1/33*w**3 + p*w - 1/66*w**4. Factor v(h). -2*h*(h - 1)/11 Let 4/9 - 4*s + 17/9*s**2 = 0. What is s? 2/17, 2 Let a(w) be the third derivative of w**6/180 + w**5/90 - w**4/4 - w**3 - 6*w**2 - 4*w. What is c in a(c) = 0? -3, -1, 3 Let d = -34 - -43. Let m = d - 9. Let m + 2/3*y**3 + 0*y + 2/9*y**5 + 2/3*y**4 + 2/9*y**2 = 0. Calculate y. -1, 0 Let n be (-30)/(-44) - 2/4. Suppose -3*u + 19 = 5*d, -3*u - 447 = -456. Factor n*k**d + 0 + 0*k. 2*k**2/11 Factor -p**4 - 48*p**2 + 699*p - 104976 - 1896*p**2 - 24027*p - 72*p**3. -(p + 18)**4 Factor -39*j + 0*j**2 + 16*j**2 + 19 + 19*j**2 - 14*j**2 - j**3. -(j - 19)*(j - 1)**2 Suppose 8*g = 15*g - 14. Suppose 5*i - 1 = 3*r, -2*r - g*r - 4*i + 20 = 0. Determine m, given that 1/2*m**r - 2*m**2 - 1 + 5/2*m = 0. 1, 2 Suppose 3*d - 50 = -2*n, -78 = -6*d + d - 2*n. Let g(w) = -w**3 + 14*w**2 - 2*w + 31. Let k be g(d). Factor -3*p**2 - 3/2 - 3/4*p**k - 15/4*p. -3*(p + 1)**2*(p + 2)/4 Let s(r) be the first derivative of -3*r**5/5 - 3*r**4/2 + 4*r**3 + 12*r**2 - 54. Determine g, given that s(g) = 0. -2, 0, 2 Let l be -27 + 15 - (2 - 6). Let v be (80/25)/l*-5. Factor -2/15*p**3 + 4/15*p + 2/15*p**v + 0. -2*p*(p - 2)*(p + 1)/15 Let l(o) be the first derivative of -4/5*o**5 - 8/3*o**3 - 3*o**4 + 0*o + 0*o**2 + 16. Let l(s) = 0. What is s? -2, -1, 0 Let a(h) be the third derivative of -h**5/60 - 5*h**4/12 - 7*h**3/2 - 141*h**2. Determine m, given that a(m) = 0. -7, -3 Suppose 2 = -5*f - 103. Let z be (-3)/12 - -3*f/(-156). Factor 6/13*h**5 - 12/13*h**2 - 2/13*h - 22/13*h**4 + 28/13*h**3 + z. 2*(h - 1)**4*(3*h + 1)/13 Let n be 3/(-6)*(9 - (-174)/(-18)). Let y(z) be the third derivative of -6*z**2 - n*z**4 + 0*z**3 - 1/15*z**5 + 0*z + 0. Factor y(k). -4*k*(k + 2) Let d(b) be the first derivative of -b**4/2 - 62*b**3/3 - 64. Find q such that d(q) = 0. -31, 0 Let d(z) = 3*z**2 - 34*z - 169. Let u(v) = 3*v**2 - 38*v - 170. Let j(c) = 5*d(c) - 4*u(c). Suppose j(b) = 0. Calculate b. -5, 11 Let y(b) = 4*b**3 - 10*b**2 + 2*b + 22. Let w be ((-8)/(-2) + -5)/(1/(-7)). Let o(s) = 4*s**3 - 9*s**2 + 3*s + 23. Let q(u) = w*y(u) - 6*o(u). Solve q(p) = 0. -1, 1, 4 Let o(z) = z**2 + z - 9. Let s be o(-4). Suppose s*x = -10 + 10. Find m, given that -1/2*m**4 + 0 + x*m + 0*m**2 + 1/4*m**5 + 1/4*m**3 = 0. 0, 1 Let j be (-2)/70*173 + 5. Let v(f) be the first derivative of j*f**5 + 0*f + 0*f**2 - 2 + 1/14*f**4 + 0*f**3. Find c, given that v(c) = 0. -1, 0 Suppose 3*x + 2 = 14. Suppose -i = -12*z + 10*z, 5*z = 4*i - 6. Solve 3*f**x - f**4 + 4*f**i - 6*f**2 + 3*f**5 - 3*f = 0 f
{ "pile_set_name": "DM Mathematics" }
mon divisor of a and v? 40 Let y(k) = -k**3 - 33*k**2 + 276*k - 136. Let h be y(-40). Let g = -7 - -151. What is the greatest common divisor of g and h? 24 Let c(j) = j + 13. Let x(d) = -d**2 + 9*d - 2. Let w be x(10). Let u be c(w). Calculate the highest common factor of u and 4. 1 Let r = -227 + 229. What is the greatest common factor of 38 and r? 2 Let k = -38 + 40. Suppose -k*x = -6, -j = 3*j + 2*x - 26. Calculate the greatest common divisor of 2 and j. 1 Let r be 3*(1 + 3)*16/6. Calculate the highest common factor of r and 176. 16 Let o(c) = 4*c**2 - 68*c + 86. Let m be o(17). Calculate the highest common factor of 4 and m. 2 Let k(o) = -o + 32. Let l be k(0). Suppose -4*i + 127 + 25 = 0. Suppose 8*w - i = 26. What is the highest common divisor of l and w? 8 Let v = 4 + 0. Suppose 0 = -n + 5*w + 9 + 2, v*n + 2*w - 66 = 0. Let d = -130 + 258. Calculate the greatest common factor of n and d. 16 Suppose 0 = -26*h + 23*h + 1242. Calculate the greatest common divisor of 6 and h. 6 Suppose 5*z = 5*s - 70, 2*z - 3*s = -23 - 9. Let r = z - -28. Let f be (-4 - -4) + r - -3. Calculate the highest common factor of f and 105. 21 Let y = 14 + -16. Let j be y/(((-12)/(-2810))/(-3)). Let x be (-2)/2 - j/(-5). Calculate the highest common divisor of 28 and x. 28 Let n(q) = -39*q - 3. Let k be n(-6). Let p be (1 + -2)/((-6)/198). Calculate the highest common factor of k and p. 33 Suppose l = -5*t + 18, -3*l - 3*t + 74 - 20 = 0. Calculate the greatest common factor of l and 774. 18 Suppose 0 = -2*g + 4*g - 112. Suppose 16 = 6*l - 26. Calculate the greatest common divisor of g and l. 7 Let q(n) = -n**3 - 17*n**2 - 30*n + 5. Let h be q(-15). Calculate the greatest common divisor of h and 18. 1 Suppose 0 = j - a - 17, 3*a + 21 = -4*j + 5*j. What is the highest common divisor of j and 735? 15 Let o be 1/(-2) + (1539/2)/1. Let r be o/4 + (3 - -3)/(-24). Calculate the highest common factor of 12 and r. 12 Suppose 0 = -2*r - 5*d + 130, r - 7*d - 71 = -11*d. Let g = 75 - r. Calculate the highest common divisor of 140 and g. 20 Let u(q) = -q**3 - 5*q**2 + q + 8. Let h be u(-5). Suppose -d - 24 - 16 = 4*m, 2*d = 2*m + 10. Let b = 11 + m. Calculate the greatest common divisor of b and h. 1 Let p be (9 + 3/((-6)/(-2)))/1. Let n be (176/(-55))/((-2)/p). Calculate the greatest common factor of n and 144. 16 Let p(m) = -11*m - 1. Let o be p(-2). Suppose 0 = 2*j - u - 83, 5*u + 32 = 4*j - 143. Let t be (j - 0) + 0 - -2. What is the greatest common divisor of o and t? 21 Let r = 736 + -309. What is the highest common divisor of r and 14? 7 Suppose 0 = 5*g + 10, 2*u - 50 = -0*g + 4*g. Calculate the highest common divisor of 77 and u. 7 Let w be (2/(-3))/((-14)/2289). Suppose 3*z + 117 = 4*f, -4*f + 2*z = -13 - w. Let h = -32 - -35. Calculate the greatest common factor of f and h. 3 Let h(g) = -g**3 + 19*g**2 - 19*g + 42. Let i be h(18). What is the greatest common divisor of i and 9? 3 Suppose -r = r - 64. Let h(m) = 8*m + 84. Let s be h(-10). Calculate the highest common factor of s and r. 4 Let k(p) = p**2 - 19*p + 36. Let x be k(34). What is the greatest common factor of 84 and x? 42 Let x(t) = 17*t + 15. Let a be x(5). Let d = a + -12. Let l = 7 + 4. What is the greatest common factor of l and d? 11 Let q(c) = 30*c**3 - 3*c**2 + 16*c - 22. Let f be q(2). Calculate the greatest common divisor of 34 and f. 34 Let g(c) = c**3 + 4*c**2 + c - 2. Let y be g(-2). Let q be (12/(-6))/(y/(-10)). What is the greatest common factor of 20 and q? 5 Let l = 5 + 0. Suppose 25 = -l*u, 0 = 4*q - 0*q - 4*u - 84. Let g be 18 + ((-4)/2 - 0). Calculate the greatest common factor of q and g. 16 Suppose o - 2*m = 195, 8*o + 947 = 13*o - 3*m. What is the greatest common divisor of o and 55? 11 Suppose -7*w + 10*w = -3*c + 141, -3*c = -2*w - 116. Let i be (20/(-30))/(2/(-6)). Suppose 12 = i*r - 0*r. Calculate the greatest common factor of r and c. 6 Suppose -6*c + 1 = -5. Suppose -v = -19 + c. Calculate the highest common divisor of v and 12. 6 Let k(h) = -h**3 - 6*h**2 - 4*h + 17. Suppose -5*p + p = 20. Let j be k(p). Let g be 23 + -1*(0 + -1). What is the highest common factor of g and j? 12 Let v(l) = -2*l**2 + 103*l + 103. Let p be v(52). What is the greatest common factor of 204 and p? 51 Let n be (-14)/4*(19 + -3 - -2). Let z = 126 + n. What is the highest common divisor of 693 and z? 63 Suppose 15 = -9*z - 21. Let w be (-44)/(-22)*z/(-2)*5. What is the highest common factor of 30 and w? 10 Let c be (-2)/(2/10 + (-5)/20). Let y be (-9)/(-6)*1*c/3. Calculate the greatest common factor of 4 and y. 4 Let r = 57 - 69. Let n(w) = w**2 + w - 33. Let m be n(r). Let p(l) = -l**3 - 2*l**2 - l - 3. Let j be p(-3). Calculate the highest common divisor of j and m. 9 Suppose 0 = -2*d + 5*p + 502, 3*p + 1018 = 4*d - 0*p. Calculate the greatest common divisor of 32 and d. 32 Let j(i) = i**3 + 4*i**2 - 4*i - 4. Let q be j(4). Suppose 0 = -3*d + 9 - 90. Let g = 54 + d. Calculate the highest common divisor of q and g. 27 Let j(b) = b**2 - 11*b + 11. Let w be j(10). Let k be 63/6 + (1/2)/w. What is the greatest common factor of k and 88? 11 Let m = -921 - -965. Calculate the greatest common divisor of m and 10. 2 Let q = -98 + 118. What is the highest common factor of 110 and q? 10 Let z be ((-595)/105)/((-1)/24). Let d be -17*(-1)/(0 + 1). What is the highest common divisor of d and z? 17 Suppose 4*h = 5*k - 179, -7*k = -2*k - 2*h - 187. What is the greatest common divisor of k and 819? 39 Let s = 1022 - 1019. What is the greatest common factor of 13 and s? 1 Suppose 1 + 89 = 3*f. Let q(n) = 8*n**2 + 3*n - 1. Let o be q(2). Suppose 38 + o = 5*z. Calculate the highest common factor of f and z. 15 Let c(v) = v**2 - 9*v - 7. Let i be c(10). Suppose h = -2*b - 2*b + 240, 0 = 4*b + i*h - 240. Calculate the greatest common factor of 150 and b. 30 Let y be -5 - -4*(-565)/(-20). What is the highest common divisor of 189 and y? 27 Suppose -4*r = -9*r + 80. Suppose -r*w + 510 = w. Calculate the highest common factor of 20 and w. 10 Suppose 3*j = -2*c + 162, -4*c = -j - 4*j - 368. Let i = -58 + c. Let z = -17 + i. What is the highest common divisor of z and 108? 12 Let o(c) = -16*c - 13. Let x(t) = 24*t + 20. Let h(u) = 8*o(u) + 5*x(u). Let s be h(-4). Calculate the greatest common factor of 70 and s. 14 Let g(z) = -68*z - 161. Let h be g(-7). Calculate the greatest common factor of 70 and h. 35 Let m = 994 - 980. What is the highest common divisor of m and 98? 14 Let o = 63 + -48. Suppose -o*f + 20*f = 135. Let c = 8 - 5. Calculate the highest common factor of c and f. 3 Let l(q) = q**3 + q**2 - 2*q - 1. Let c be l(0). Let f be ((-40)/c)/(-10 - -12). Calculate the highest common divisor of 5 and f. 5 Let w = 15 - 15. Suppose w = f - 4*f + 12, 0 = -n - f + 6. Calculate the highest common divisor of 16 and n. 2 Suppose 80 = -8*j + 13*j. Let u be j/((2 - 3)*-1) + 2. Calculate the highest common divisor of u and 234. 18 Let n(g) = 3*g**3 + 23*g**2 - g - 6. Let p be n(6). What is the highest common divisor of 24 and p? 24 Let h be (19 + -2)/((-2)/(-2)). Suppose 5 - 88 = n. Let w = -49 - n. Calculate the greatest common divisor of h and w. 17 Let u(b) be the second derivative of -b**4/12 - b**3/2 - b**2 + 2*b. Let x be u(-6). Let r = -10 - x. Calculate the highest common factor of r and 10. 10 Let r = 32 - -178. Calculate the greatest common divisor of r and 180. 30 Let d be (18/(-5))/((-1)/5). Let b(o) = 10*o - 5. Suppose 0 = -x, -2*f - 2 = 3*x - 12. Let j be b(f). Calculate the greatest common divisor of j and d. 9 Suppose 5*d - 143 = 2*j, 8*d - 4*j = 6*d + 70. Calculate the greatest common factor of 45 and d. 9 Suppose 0 = -5*s + 3*s + 4, 4*v + 226 = s. Let f = 7 - v. What is the highest common divisor of 7 and f? 7 Let b(x) = 7*x + 18. Let h be b(0). Suppose -2*t + 3 = -5. Suppose -146 = -u - z, -3*u + 589 = t*z + 149. Calculate the highest common factor of u and h. 18 Let c(w) = -w**3 - 2*w**2 + w + 11. Let r be c(-6). Let v = -93 + r. What is the greatest common factor of v and 7? 7 Let d(c) = -2*c - 14. Let i be d(-9). Suppose -x = i*w - 2*w - 46, -4*w = 3*x - 90. Let q = -116 + 212. Calculate the highest common divisor of w and q. 24 Let u = -670 - -454. Let p be (u/30)/(6/(-20)). Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
2/7, -77, 1/3, -4? -77 What is the third smallest value in -3, -14, -0.1, 0.3, 2? -0.1 What is the fourth biggest value in 0.4, -10, 4, 2/23? -10 What is the fourth smallest value in 375, 0, 4, 0.3? 375 Which is the second biggest value? (a) -161 (b) 1 (c) 161 b What is the third smallest value in -0.2, 27, 3, 2/27? 3 Which is the fourth biggest value? (a) -0.1 (b) 0.5 (c) -0.07 (d) 16 (e) -0.3 (f) 0.108 c What is the fourth biggest value in -20/9, -4, 2, 14? -4 Which is the second biggest value? (a) 0.1 (b) -19/40 (c) 3 (d) 369 c What is the third biggest value in -6, 1, 5, 0.3203, 0, -2/3? 0.3203 Which is the third biggest value? (a) 2/11 (b) 1/8 (c) -16.5 (d) 5 b What is the third smallest value in -0.4, 2/5, -3/2, -0.5, -1/3? -0.4 Which is the smallest value? (a) -0.2 (b) 1.01 (c) -619/2 c Which is the fourth smallest value? (a) -0.09 (b) -4 (c) -2/9 (d) 0.3 (e) -152 (f) 2/7 a What is the second biggest value in 229, 3, -5/6? 3 What is the second biggest value in 2, 40/29, -2/9? 40/29 Which is the third smallest value? (a) 1/4 (b) -2/19 (c) -14.9 (d) 15 a Which is the biggest value? (a) 16 (b) -2/93 (c) -38/7 a Which is the fourth smallest value? (a) -4 (b) 117 (c) -10 (d) -3/5 b What is the second smallest value in -0.1, 5, -2, 1/75890? -0.1 What is the biggest value in 4, -2, -6479? 4 What is the third biggest value in -5, 5, -1/10, 0, -60? -1/10 Which is the second smallest value? (a) 0.3 (b) -1/3 (c) 0.07 (d) 2/9 (e) -1/24 e Which is the third biggest value? (a) -2/3 (b) -1 (c) -1.57 (d) -1/95 b Which is the smallest value? (a) 2/7 (b) -0.0521 (c) 57 b What is the fourth smallest value in -4, 3/8, -8, -1/4, -0.1, 0.5? -0.1 Which is the second smallest value? (a) 5 (b) 2555 (c) -14 (d) -0.3 (e) 0 d Which is the biggest value? (a) 0.2 (b) 3/8 (c) 232 (d) 3/2 (e) -0.1 c What is the fourth biggest value in 1/7, 4, 3744.6, -3, -1? -1 Which is the third biggest value? (a) -54114 (b) -2/23 (c) 1 a Which is the biggest value? (a) -0.3 (b) -6 (c) 2770 (d) 1 c What is the second biggest value in 2/7, -2/3, -5, 0.17997? 0.17997 What is the fifth biggest value in 2, 0, -0.29, 2/27, 5, 2/17? 0 What is the second biggest value in -82, -2/23, -0.8? -0.8 What is the fifth biggest value in -2, 8/3, 2/7, 3, -227/10, 2? -2 Which is the second smallest value? (a) 5236 (b) 4 (c) 8/3 (d) 5 (e) -2 c What is the fourth smallest value in -0.7, 592, -2/5, -0.5, 2, -1/13? -1/13 What is the third biggest value in 4, -3, -323.91, 2/3? -3 Which is the second biggest value? (a) -2/17 (b) 765 (c) -0.2 (d) -0.03 d Which is the smallest value? (a) 8 (b) 4/3 (c) -11508 c What is the smallest value in 6, 0, -1339.1? -1339.1 Which is the second smallest value? (a) -1/7 (b) 1.8 (c) -13 (d) 2 (e) 0 (f) -1 f Which is the second biggest value? (a) 3 (b) 153781 (c) 5 c Which is the second biggest value? (a) 37 (b) 4.3 (c) 4 (d) -4 (e) 5 e What is the third smallest value in -0.2, -215, 5, -10, 3? -0.2 Which is the fifth smallest value? (a) 3/2 (b) 1 (c) -100 (d) -2/19 (e) 0 (f) 3 a Which is the smallest value? (a) 5 (b) -1/11 (c) -5 (d) -2 (e) -2/29 c What is the third biggest value in -2/13, -7/165, -0.3, 0.3? -2/13 Which is the second smallest value? (a) -107 (b) -0.81 (c) -4 (d) 2/3 c Which is the second biggest value? (a) 7296 (b) -1 (c) -3 b Which is the second smallest value? (a) 1/11 (b) 69 (c) -0.08 (d) 0.2 (e) -2 (f) -2/5 f What is the third biggest value in -45, 1, 2, -7277? -45 What is the biggest value in 3, -2, -0.424, 2/13? 3 What is the fourth smallest value in 18.2, -2/9, 5, -1/4? 18.2 Which is the fourth biggest value? (a) 2 (b) -12.99 (c) 0.5 (d) -5/8 (e) -0.5 d What is the fifth smallest value in 2/21, 0.11, 0, -1/74, 3? 3 What is the third biggest value in -1305, 3, -3? -1305 Which is the fourth biggest value? (a) 3/572 (b) 2/15 (c) -16 (d) -5 c Which is the second biggest value? (a) 5 (b) 1 (c) -0.0517 (d) 4/3 d Which is the third smallest value? (a) 24 (b) -2.9 (c) 5 (d) -4 (e) -2 e What is the second biggest value in -2, -0.01, -929? -2 What is the second biggest value in 29, -143, 2? 2 Which is the third smallest value? (a) -0.3 (b) 0.08 (c) -2/15 (d) -755.6 c What is the second biggest value in -17, -2/5, -4381? -17 What is the biggest value in -0.3, 5, -1/2, 0.0706, -5, 4? 5 What is the biggest value in 86466.8, 4, -0.3? 86466.8 What is the second smallest value in -0.3, 3/307, 0.04, 1/6? 3/307 What is the fourth biggest value in 148/3, -2, 1/2, 1? -2 Which is the fourth smallest value? (a) 33.78 (b) -4 (c) 1 (d) 0 a What is the fourth biggest value in -0.1, 2/6375, 1, 8? -0.1 What is the smallest value in -0.5, 1, -92, 11/3, 3, 0.8? -92 What is the third biggest value in 4, -1/25, 2/5, -16/7? -1/25 What is the third smallest value in 2, -0.125, 21, -3, 0.2? 0.2 Which is the second smallest value? (a) 0.33 (b) -13 (c) 4/65 c What is the fourth biggest value in 156, -5, -2/9, 3/4, -1? -1 What is the biggest value in -1460, 0, 2/5, 3, 0.06, 10? 10 What is the fourth biggest value in -0.153, -1, -0.3, 12? -1 Which is the biggest value? (a) -5 (b) -1660/23 (c) 3 (d) 5 d What is the third smallest value in -1/5, 26/205, 9, -0.4? 26/205 Which is the second biggest value? (a) 0.032 (b) -0.1 (c) -2/11 b Which is the smallest value? (a) -3/4 (b) -2 (c) 75 (d) 1/3 (e) -0.1 b Which is the fourth biggest value? (a) 1120 (b) -0.1 (c) 2/13 (d) -0.5 (e) 3/5 b What is the second smallest value in -2/3, -0.7, 436/49? -2/3 Which is the smallest value? (a) 2/11 (b) -0.3 (c) 587 (d) 2 b Which is the second biggest value? (a) -39 (b) -0.6 (c) 4 (d) 5/4 (e) -9 d Which is the smallest value? (a) -0.02 (b) 5 (c) -2/5 (d) 365 (e) 4 c What is the fifth smallest value in -0.4, 54, -0.5, 7, -5? 54 What is the third smallest value in -0.6, 0.1, 542/9, 2? 2 Which is the fourth biggest value? (a) -2 (b) -14 (c) -53 (d) 0.2 (e) 3 (f) 0.1 a Which is the fourth biggest value? (a) -6/5 (b) -1 (c) 22/17737 (d) 5 (e) 1/3 b Which is the second smallest value? (a) 5 (b) 3/5 (c) 0.07 (d) -5 (e) -0.5 (f) -100 d Which is the smallest value? (a) 5 (b) -1/8 (c) -90/13 (d) -0.01 (e) -2/5 c What is the second biggest value in 13, -4, 3/5, 687.3? 13 What is the fourth smallest value in -23, 5.2, 0.1, 1/3, 0? 1/3 What is the third smallest value in -4, -5, 2, -0.3, 3083.16? -0.3 What is the biggest value in 0.3, 5, -3, -0.1, -2/3, -5? 5 Which is the third smallest value? (a) 2 (b) -0.1 (c) -2/193 (d) 2/7 d What is the fourth smallest value in -11/5, 0.1, -0.1, 5, -3? 0.1 What is the third biggest value in 2, 1, 1.727, 0.1, 2/15? 1 Which is the fourth smallest value? (a) -5 (b) -58 (c) -0.1 (d) 2/9 d What is the third smallest value in 405, 0.119, 0.5? 405 What is the second smallest value in 0, -18, 0.045, -1? -1 Which is the fifth biggest value? (a) -1 (b) 0.58 (c) 30/7 (d) 0.3 (e) -1/4 a Which is the second biggest value? (a) 5 (b) -9/20 (c) 0.03 c Which is the third smallest value? (a) 0.054 (b) -0.2 (c) 0.1124 (d) 0.3 (e) -5 a Which is the second smallest value? (a) 0.1 (b) 5 (c) 4.02 (d) 0.08 (e) -0.2 d Which is the third smallest value? (a) 3 (b) 0.3 (c) -3/5 (d) 4/3 (e) 0.118 b Which is the fourth biggest value? (a) -2/3 (b) 12 (c) 1/10 (d) 38 (e) -4/19 e What is the biggest value in -2, 11, 4011.5? 4011.5 Which is the second smallest value? (a) 376/5 (b) -1/8 (c) 5 (d) -7 b What is the fourth smallest value in -1548, -0.1, 1/4, 0.1? 1/4 What is the smallest value in -2/211, 3, 0, 8, -1/2, 3/2? -1/2 Which is the second biggest value? (a) -3/7 (b) -0.4 (c) 0 (d) 15 (e) -10 (f) -2/27 c Which is the second smallest value? (a) -3 (b) 0.2 (c) 0.1 (d) -133 (e) -0.085 (f) 3/5 a What is the third biggest value in -1608, 3/32, 1/3, -3/4? -3/4 Which is the second smallest value? (a) 48 (b) 0.5 (c) 19 (d) -7 b What is the sixth smallest value in -4/3, 0.8, 3.8, -4, 0, -3/4? 3.8 Which is the third biggest value? (a) 327 (b) -1/3 (c) 8 b Which is the biggest value? (a) 0 (b) 1 (c) -2/3 (d) -0.1 (e) 1008 (f) 1/11 e Which is the second biggest
{ "pile_set_name": "DM Mathematics" }
et k(q) = 6*q**2. Let f(v) be the third derivative of v**5/12 - 6*v**2. Determine 3*f(l) - 2*k(l). 3*l**2 Let l(z) = 3*z - 17. Let x(s) = -s + 6. Let j be 2/(-5) + (-216)/60. Give j*l(r) - 11*x(r). -r + 2 Let j(m) = 2*m**2 + 1. Let w(a) = -3*a**2 - 2. Let l be 0 - (-2 - -3) - -3. Let b = l - -3. Calculate b*w(i) + 8*j(i). i**2 - 2 Suppose 8*c + 2*c = 10. Let i(f) be the third derivative of f**6/60 + f**5/60 - f**4/24 + f**3/6 - f**2. Let a(u) = u**2 - u. Give c*a(z) - i(z). -2*z**3 - 1 Let o(q) = 2*q**2. Let m(i) = -3*i**2. Give -2*m(a) - 5*o(a). -4*a**2 Let y(d) be the first derivative of 1/3*d**3 - 4 + d + 0*d**2. Let k(a) = -2*a**3 + 5*a**2 + 3. What is -k(f) + 5*y(f)? 2*f**3 + 2 Let d(u) be the second derivative of -u**4/12 - u**2 - 2*u. Let x(h) = -2*h**2 - 7. What is -7*d(m) + 2*x(m)? 3*m**2 Let s(o) = 2*o**2 + 5*o + 1. Let x(h) = h**2 + 6*h + 1. What is 3*s(m) - 2*x(m)? 4*m**2 + 3*m + 1 Let b(g) be the third derivative of -g**4/12 - 23*g**2. Let x(a) = -4*a. Calculate -5*b(c) + 3*x(c). -2*c Let l(c) = 110*c**2 - 14*c + 14. Let r(v) = -22*v**2 + 3*v - 3. Determine 6*l(u) + 28*r(u). 44*u**2 Let u(k) = -1. Let x(o) = -o + 3. Suppose 6 = 5*p + 16. Calculate p*x(m) - 5*u(m). 2*m - 1 Let f(p) = 1. Let c(g) = -g**2 - 2*g - 7. What is -c(t) - 6*f(t)? t**2 + 2*t + 1 Let y(q) = 38*q**2. Let a(n) = 77*n**2. Give -6*a(o) + 13*y(o). 32*o**2 Let o(d) = -7*d**2 - 11. Let h(q) = 22*q**2 + 32. Calculate -5*h(y) - 16*o(y). 2*y**2 + 16 Let w(n) = n + 6. Let b(r) = -1. Suppose 4*o - 7 = 13. Suppose -o*k + 1 = 2*a - 2, -5*a - 2*k - 3 = 0. Calculate a*w(d) - 6*b(d). -d Let a(k) = -29*k + 1. Let m(f) = -29*f. What is 2*a(p) - 3*m(p)? 29*p + 2 Let c(n) = -n + 8. Let z(g) = 3*g - 23. Calculate -8*c(l) - 3*z(l). -l + 5 Let b(w) = -4*w**2 + 4*w**2 - 10*w**3 + 11*w**3 + 8 - w**2. Let i(v) = v**3 - v**2 + 7. Determine -6*b(y) + 7*i(y). y**3 - y**2 + 1 Let k(j) = j + 13. Let d(c) = 3*c + 38. Give 6*d(i) - 17*k(i). i + 7 Let d be (-14)/4*(-5 + 7). Let q(b) = -b**2 - 2*b + 1. Let s(p) = 3*p**2 + 6*p - 3. Calculate d*q(t) - 2*s(t). t**2 + 2*t - 1 Let d(o) = -11*o**2 - 4*o + 9. Let s(n) = -5*n**2 - 2*n + 4. Suppose -50 = 8*x - 3*x + 5*a, -4*x + 2*a - 34 = 0. Let k = x - -18. Determine k*s(w) - 4*d(w). -w**2 - 2*w Let s(a) = a**2 - 4*a + 3. Let m = 12 + -11. Let y(b) = b**2. Let v(n) = 2*n**2 + 3*n - 2. Let t(j) = m*v(j) - 3*y(j). Give 3*s(k) + 4*t(k). -k**2 + 1 Let u(f) = f + 1. Suppose -2*m = -3*t - 19, t = 3*m + 2*t - 12. Let h(a) = a**2 - 12 - a - 6*a - 3*a**2 - m*a. What is -h(s) - 12*u(s)? 2*s**2 Suppose 0 = 5*a - 3*a. Let y(w) = -w + 4*w + a*w. Let p(g) = 6*g. What is 3*p(c) - 5*y(c)? 3*c Let n = -10 + 14. Suppose 2*x = -0*x - 3*g, 2*x + n*g = -4. Let f(r) = 4*r + 6. Let y(z) = 3*z + 5. What is x*y(o) - 5*f(o)? -2*o Let t(q) = q. Suppose 5*p - 7 = h - 3*h, -5*h - 5 = 5*p. Let k be (h/8)/((-3)/72). Let j(x) = 10*x. Give k*t(c) - j(c). 2*c Let a(w) = -2*w**2 - 16. Let z(b) = 1. Calculate a(q) + 12*z(q). -2*q**2 - 4 Let o(m) = m. Let i(y) = -y - 1. Let l = -44 - -41. Determine l*o(d) - 2*i(d). -d + 2 Let i = -4 + 10. Let n(o) = -11*o**2 - 20*o + 3. Let x(z) = z + 0*z + 4*z**2 + 6*z - 1. Let p be ((-1)/2)/(3/(-102)). Give i*n(g) + p*x(g). 2*g**2 - g + 1 Let k(y) be the third derivative of y**6/40 + y**5/60 + y**4/6 + 8*y**2. Let i(q) = 4*q**3 + q**2 + 5*q. Calculate 4*i(n) - 5*k(n). n**3 - n**2 Let i(f) = -2*f**3 - f**2 + 2. Let j(c) = 3*c**3 + c**2 - 5. Calculate 5*i(z) + 2*j(z). -4*z**3 - 3*z**2 Let u(q) = 2*q**3 + 4*q**2 + q. Let v(w) = -3*w**3 - 5*w**2 - w. Calculate 5*u(j) + 4*v(j). -2*j**3 + j Let g(j) = -j + 1. Let t(b) = -b - 1. Let c(u) = -5*u - 7. Let w(a) = c(a) - 6*t(a). What is 4*g(k) + 5*w(k)? k - 1 Let h(q) = q**3 - 3*q**2 + 5*q + 2. Let s(l) = 2*l**3 - 4*l**2 + 6*l + 3. Give 3*h(t) - 2*s(t). -t**3 - t**2 + 3*t Let p(b) = b + 3. Let i be (14/63*3/(-2))/(-2). Let o(c) be the second derivative of 0 - 2*c**2 - 2*c - i*c**3. Calculate -2*o(f) - 3*p(f). -f - 1 Let f(c) = -2*c**2 - 3*c - 1. Let g(u) = u**2 + u. Let i(j) = -j**3 - 15*j**2 + j + 13. Let r be i(-15). Determine r*f(z) - 6*g(z). -2*z**2 + 2 Suppose 8 = -11*j - 69. Let d(z) = -5*z + 2. Suppose 8 = -4*y - 0*y. Let u(k) = 16*k - 6. Calculate j*d(w) + y*u(w). 3*w - 2 Let k(m) = -6*m**2 + 14*m + 14. Suppose -5*b = -b + 32. Let i(f) = 15*f**2 + 3 - 57*f**2 + 40*f**2 + 2 + 5*f. Calculate b*i(c) + 3*k(c). -2*c**2 + 2*c + 2 Let x(j) = -4*j + 2. Let s(w) = 5*w - 2. Calculate -2*s(a) - 3*x(a). 2*a - 2 Let q(k) = -k**3 - k + 1. Let l(m) = -m + 0 - 2*m**3 + 2 - 2*m. Let c(s) = -2*s + 6. Let g be c(7). What is g*q(n) + 3*l(n)? 2*n**3 - n - 2 Let r(i) be the second derivative of -3*i**5/20 - 3*i**2/2 + 9*i. Let j(t) = 3*t**3 + 4. Give 5*j(s) + 6*r(s). -3*s**3 + 2 Let f(p) = -3*p**2 - 2*p + 2. Let m(s) = s. Let k be (4 - 1/1) + -1. Give k*m(n) + f(n). -3*n**2 + 2 Let f(l) = 7*l**3 - 2*l**2 - 6. Let y(c) be the first derivative of 13*c - 3 - 15/4*c**4 + 0*c**2 + 4/3*c**3. What is -13*f(a) - 6*y(a)? -a**3 + 2*a**2 Let j(h) = h**3 + h. Let b = 22 - 11. Let c(x) = 0*x**3 + x**3 - 9*x - b*x**3. Give -2*c(o) - 18*j(o). 2*o**3 Let y(w) be the second derivative of w**4/2 - w**3/2 + 4*w**2 - 2*w. Let c(p) = 0 + 5 - 2 - p + 2*p**2 + 0. Calculate 11*c(i) - 4*y(i). -2*i**2 + i + 1 Let u(z) = -z**2 + 5*z - 5. Let w(p) = -p**2 + 4*p - 4. Let q(k) be the first derivative of -k**2 - 13*k + 3. Let i be q(-9). Give i*w(f) - 4*u(f). -f**2 Let y(d) = d + 7. Suppose -3*x = 2*x. Suppose -5*r + 22 + 3 = x. Let m(p) be the second derivative of -p**3/6 - 2*p**2 + 9*p. Calculate r*m(c) + 3*y(c). -2*c + 1 Let a(p) = 2*p**2 - 4*p - 3. Let m(x) = -2*x**2 + 5*x + 4. Calculate -3*a(v) - 2*m(v). -2*v**2 + 2*v + 1 Let m(j) = -6*j + 8. Let x(s) = -s + 1. Determine m(o) - 8*x(o). 2*o Let p(u) = -9*u**2 + 11*u + 9. Let b(y) = 5*y**2 - 6*y - 5. Calculate 7*b(t) + 4*p(t). -t**2 + 2*t + 1 Let g(f) = 2*f + 42. Let l(u) = u + 21. Determine 6*g(j) - 11*l(j). j + 21 Let w(v) = v**3 + v**2 - 1. Let s(b) = -59*b**3 + 3*b**2 - 2*b - 3. Give s(r) - 3*w(r). -62*r**3 - 2*r Let l(u) = -2*u**2 + 3*u**3 - 2*u**3 - 5*u**3 + u + 10*u**3. Let g(c) = -31*c**3 + 11*c**2 - 6*c. Determine -2*g(a) - 11*l(a). -4*a**3 + a Let d(p) = 100*p**3 + 55. Let k(g) = 11*g**3 + 6. Give -6*d(s) + 55*k(s). 5*s**3 Let r(u) = u**3 - 5*u**2 + 5*u - 11. Let l(q) = -q**3 + 8*q**2 - 8*q + 17. What is 5*l(s) + 8*r(s)? 3*s**3 - 3 Let l(y) = -5*y**2. Let q(x) = -2*x**2. Let u be 3/6 - (-39)/6. Give u*q(o) - 3*l(o). o**2 Suppose 0 = 4*u - 2*v - 26, -5 = u + 4*v + 11. Let p(o) = 2*o**3 + 4*o - 5. Let a be 3/(-9) - 30/(-9). Let h(i) = -2*i**3 - 3*i + 4. What is a*p(j) + u*h(j)? -2*j**3 + 1 Let v(s) = -2*s**2 - 11*s - 8. Let h(p) = -p**2 - 4*p - 3. Let u(g) = -5*g + 2. Let n be u(2). What is n*h(t) + 3*v(t)? 2*t**2 - t Let n(q) = q**2 - q - 1. Let u be (((-9)/4)/(-3))/((-2)/(-24)). Let k(v) = -4*v**2 + 5*v + 3. Give u*n(z) + 2*k(z). z**2 + z - 3 Let k(b) = 0*b**2 - 3*b**2 - 2*b**3 - 3*b**3. Suppose 0 = m - 3*m - 8. Let r(z) = -6*z**3 - 4*z**2. Calculate m*k(a) + 3*r(a). 2*a**3 Let u = -6 + 8. Let p(x) = 0 + x**u + 3 + 0 - 2*x. Let w(h) = -2*h**2 + 6*h - 8. Let v = 1 - 4. Give v*w(i) - 8*p(i). -2*i**2 - 2*i Let n(z) = 2*z - 2. Let i(w) = 6*w + 1. Let r be i(-1). Let d(b) = -3*b - 5*b + 0 + 4*b + 3. Suppose -3*p + 0 = 9. Determine p*d(y) + r*n(y). 2*y + 1 Let m(f) = 7*f - 7. Let i(c) be the second derivative of -c**3 + 3*c**2 - 7*c. Give -5*i(l) - 4*m(l). 2*l - 2 Let i(b) = 7*b. Let k(j) = 4*j. Calculate 6*i(f) - 10*k(f). 2*f Let r(u) = -13*u**2 + 5*u + 5. Let v = 6 + 3. Let m(j) = -3*j**2 + j + 1. Give v*m(b) - 2*r(b). -b**2 - b - 1 Let d(v) = -5*v + 3. Let x(f) = 14*f - 9. Calculate 8*d(q) + 3*x(q). 2*q - 3 Let k(c) = 3*c - 1. Suppose -1 = 4*u - a + 12, -2*u = 5*a - 21. Let v(n) be the second derivative of -n**3/6 + 2*n. Let s = 13 - 18. Give s*v(b) + u*k(b). -b + 2 Suppose 0 = -s - 9 - 1. Let r(k) = 8*k**2 + 6*k. Let l(d) = d**2 + d. Determine s*l(n) + r(n). -2*n**2 - 4*n Let q(j) = 8*j**3 + 7*j**2 + 7*j - 7. Suppose -35 = 2*x + 3*x. Let w be (1/1)/(1 - 15/18). Let z(b) = 7*b**3 + 6*b**2 + 6*b - 6. What is w*q(p) + x*z(p)? -p**3 Let f(q) = -q**2 + q + 2. Let c(j) = 4*j**2 - 4*j - 8. What is -4*c(a) - 18*f(a)? 2*a**2 - 2*a - 4 Let n(r) = -5 + 4*r**3 + 9*r**2 + 2 - 12*r**2. Let l(c) be the firs
{ "pile_set_name": "DM Mathematics" }
- 2881 = 0. What is the units digit of s? 7 Let w(q) = -113*q - 32. What is the units digit of w(-4)? 0 Suppose 4*l - 15 - 13 = 0. Suppose 0 = -4*m + 5*n + 252, 3*n - 56 = -m + l. What is the tens digit of m? 6 What is the hundreds digit of (-1748)/(-3)*177/236? 4 What is the tens digit of (-4)/36 + 213696/162? 1 Suppose 3*f - 2*p - 1511 = 0, -2*f + 15*p - 14*p + 1009 = 0. What is the units digit of f? 7 Suppose -4*n = -8*n - 4. Let u be (15/(-10))/(n/2). Suppose -u*c + 24 = -45. What is the tens digit of c? 2 Let o(d) = d + 3. Let b be o(-3). Let f = 11 + -8. Suppose 0*p + f*p - 21 = 5*n, n = b. What is the units digit of p? 7 What is the tens digit of (-32 - -29)/((-6)/74)? 3 Suppose -5*a = 3*s - 852, -5*a = -2*a + 4*s - 509. What is the units digit of a? 1 Let j = 60 - 21. Suppose 1223 - j = 8*m. What is the hundreds digit of m? 1 Let a = 117 - 97. Suppose 8*y = 3*y + 20. Suppose -y*q + 2*x + a = -18, 4 = 4*x. What is the tens digit of q? 1 Let d(u) = u**3 + 2*u**2 - 4*u - 3. Let o be d(-2). Suppose 4*q - 427 - 79 = -2*m, 0 = 3*q - o*m - 412. What is the units digit of q? 9 Let u = 65 - -34. Suppose 0 = 4*f - 1 - u. What is the units digit of f? 5 Suppose 5*q = -3*x + 22 - 4, -2*q - 30 = -5*x. Suppose -x*b = -99 - 237. What is the units digit of b? 6 Let i = -94 - -95. What is the tens digit of i/(18/96)*(4 - 1)? 1 Let o(n) = -n**2 - 7*n - 8. Let r be o(-5). Suppose x = r*f - 21 + 166, -4*x + 547 = 3*f. What is the hundreds digit of x? 1 Let t = -23 + 28. Suppose t*g - 4*k + 0*k = 201, g - 42 = -k. What is the units digit of g? 1 Let n = 3041 + -1456. What is the hundreds digit of n? 5 Let u(m) = m**2 + 10*m - 9. Let q be u(7). Let n = q - 28. What is the units digit of n? 2 Let u be (-104)/10 - (-10)/25. What is the units digit of 8/u*(107/(-2) - -6)? 8 Suppose 1 = 2*g - 7. Suppose 0*x + 2*x = -3*j + 73, -101 = -3*x + g*j. Let w = -20 + x. What is the units digit of w? 5 Suppose -114*h = -142*h + 80192. What is the tens digit of h? 6 Let o be ((-5)/(-2))/(1/2). Let m(a) = a**2 + a - 17. Let t(l) = 2*l**2 + l - 34. Let d(s) = o*m(s) - 2*t(s). What is the tens digit of d(-8)? 2 Suppose 173*h + 91843 = 202*h. What is the hundreds digit of h? 1 Suppose 8*k = 31200 + 5560. What is the units digit of k? 5 Suppose 28*z + 7576 - 82448 = 0. What is the thousands digit of z? 2 Suppose 32 = -17*l + 66. Suppose -5*q - 11 - 6 = -3*n, 20 = 4*n - 4*q. Suppose n*h = l*h + 82. What is the units digit of h? 1 Let i be (3*(-3)/9)/1. Let u = i - -42. What is the tens digit of u? 4 Suppose 2*o = -n - 61, 2*n = -5*o - 102 - 49. Let g = -71 - o. Let b = -25 - g. What is the units digit of b? 7 Suppose 12*a + 632 = 4*a. Let t = -56 - a. What is the units digit of t? 3 Let z(h) = h**3 - 16*h**2 - 9*h - 34. What is the tens digit of z(18)? 5 Let r = 11633 + -7898. What is the tens digit of r? 3 Suppose -7*y = -6*y + 14. Let n(z) = z**2 + 13*z - 9. Let f be n(y). Suppose -f*i = -2*m + 41, -3*i + 2 - 1 = 2*m. What is the units digit of m? 8 Suppose -4*y + 17 = -h - 0*h, -5*h + 3*y = 0. Let k be (-6 + h)*(6 - 0). What is the units digit of (-14)/k - (-12)/54? 1 Let r be 35/(-5)*(-54)/7. Suppose -3*p + r = -p. What is the tens digit of p? 2 Let t be (-2 - -3) + (5 - 1). Suppose 5*u - 2*w - w - 150 = 0, u - t*w = 30. What is the units digit of u? 0 Let n(l) = -l**2 + l. Let s be 10/(-15)*(-6)/4. Let u(x) = -3*x**2 - 5*x - 15. Let p(w) = s*u(w) - 4*n(w). What is the units digit of p(11)? 7 Let v be (-87)/9 - (-4)/6. Suppose 13*x + 59 - 293 = 0. Let z = v + x. What is the units digit of z? 9 Let n = -736 - -926. What is the tens digit of n? 9 Let r(s) = -s + 15. Let b be r(5). Let x(j) = j**3 - 7*j**2 - 16*j + 20. What is the hundreds digit of x(b)? 1 What is the units digit of (0 - -1)/((-98)/(-31066))? 7 Suppose -32*v = -31261 + 2429. What is the hundreds digit of v? 9 Suppose 4*v - 30 = -v. Let p be ((-50)/15)/(v/(-9)). Suppose n + 0*b = -p*b + 36, 0 = -3*n + 2*b + 74. What is the tens digit of n? 2 Let x = -344 - -486. Suppose -8*j = x - 1334. What is the tens digit of j? 4 Let i(o) = 27*o**2 - 12*o - 1. What is the hundreds digit of i(-4)? 4 Let u(q) = -6*q**3 + 5*q**2 - 8*q - 12. What is the units digit of u(-6)? 2 What is the hundreds digit of 1 + 9 - 3640/(-40)? 1 Suppose 2*n - 14 = 2*d, 2*d + d = -2*n - 11. Suppose 0 = 5*h + n - 7. Suppose 7 = s - q, -h = 2*q + 1. What is the units digit of s? 6 Let l(f) = f**3 - 2*f**2 - 2*f - 2. Let b be l(-2). Let o be (-44)/(-5)*(-105)/b. Let w = o + -18. What is the units digit of w? 8 Let f be (-10)/(-3)*36/30. Suppose -b = 5*u - 108, -2*b + 4*b - 84 = -f*u. What is the units digit of 163/11 - (-4)/u? 5 Let u(n) = n**2. Let q be u(2). Suppose 20 = 3*s - q. What is the units digit of s? 8 What is the thousands digit of 2076 + (-2 - (0 - 0)) + 1? 2 Suppose -4*n - 2*j + 42 = 0, 34 = -0*n + 3*n + 4*j. What is the units digit of 1/5 + 178/n? 8 What is the tens digit of 6 - (-45498)/11 - 16/88? 4 Suppose 4*w + 16 = -0*l + 4*l, 4 = 4*w. Suppose 5*v - 861 = -c, -3*v + l*c - 2*c + 531 = 0. What is the units digit of v? 3 Suppose -3*w + 3*c + 2 + 7 = 0, -4*w - 4*c + 4 = 0. Suppose 4*o = 2*a + w*o + 22, -5*a - 37 = o. Let z(g) = g**2 + 3*g - 11. What is the tens digit of z(a)? 2 Let f(v) be the third derivative of v**6/120 + 7*v**3/6 - v**2. Let t be f(5). Let z = -70 + t. What is the units digit of z? 2 Suppose 4*x = -0*x - 88. Let m = x - -25. Suppose -34 = -0*t - 2*t - 2*d, -m*t + 52 = 2*d. What is the tens digit of t? 1 Let w(p) = 34*p**2 + 21*p + 61. What is the tens digit of w(-4)? 2 Let o(z) be the first derivative of z**4/4 + 11*z**3/3 - 10*z**2 - 10*z + 3. Let k be o(-13). Let g = 140 + k. What is the units digit of g? 2 Let n = 8 - 5. Suppose -5*b - 21 = 4*h, 0 = 5*h - n*b + 5*b + 39. Let g(i) = -4*i - 12. What is the tens digit of g(h)? 2 Let n be ((-16)/24)/((-2)/6). Suppose 22 = -n*l - 2. What is the tens digit of l/4*-1 - -9? 1 Let o(z) = -z + 5. Let u be o(4). Let g = 16 - 18. What is the units digit of (u + g - 1) + 32? 0 Let s = -835 - -1399. What is the hundreds digit of s? 5 Suppose -4*i + 1820 = -0*i. What is the units digit of i? 5 Let u = -227 - -671. What is the units digit of u? 4 Suppose 0 = 3*p - 13 + 7. Suppose -5*n + 4*t + 388 = 0, 5*n + p*t - 378 + 2 = 0. What is the units digit of n? 6 Let t = -77 - 61. Let q = 287 + t. What is the hundreds digit of q? 1 Let k(f) = 14*f + 17. Let r(o) = 5*o + 6. Let c(n) = -3*k(n) + 8*r(n). Suppose -5*t + 50 = -5*x, 3*t - 5 = 4*x + 33. What is the units digit of c(x)? 3 Let a(t) = -4*t**2 - 12*t + 6. Let v(f) = 9*f**2 + 25*f - 11. Let m(w) = 7*a(w) + 3*v(w). What is the units digit of m(-8)? 7 Let q(w) = -26*w + 6. Let p be q(-3). What is the tens digit of (p/3*-2)/(-2)? 2 What is the units digit of (-6)/24 - (-231)/12? 9 Suppose 6*d + 2529 = 6891. What is the hundreds digit of d? 7 Suppose -s - 5 - 14 = 0. Let d = s - -64. What is the tens digit of d? 4 Let w be 1/((-4)/5 - -1). Suppose b = -2*i + 30, w*i = b + 2*b - 90. Suppose -5*q + b = -2*q. What is the tens digit of q? 1 Let k(d) = 2*d**2 + d - 1. Let y = 0 - -1. Let r be k(y). What is the units digit of r/(-4*4/(-112))? 4 Let b(p) = p**3 - 17*p**2 + 18*p - 20. Let t(q) = -4*q**2 - q - 1. Let u be t(-1). Let f = u - -20. What is the tens digit of b(f)? 1 Suppose -20*q = -86 + 6. What is the tens digit of (102 + 3 - q) + -5? 9 Let d(q) = -10*q + 6*q**2 + 11*q + 7 + 5*q + q**3. Let r be d(-5). What is the units digit of (-50)/(-6) - r/6? 8 Let m = 1368 - 799. What is the tens digit of m? 6 What is the hundreds digit of 134/(-938) + 3179/7? 4 Suppose -3*q - 27 = -5*g, 2*q = g + 3*g - 20. Suppose -3*v - g*v = -384. What is the units digit of v? 4 What is the units digit of 48 + (1 + 2 - 9)? 2 Suppose -32 = 4*x - 4*f, -5*x - 40 = -2*f + f. Let o(a) = a**3 + 9*a**2 - 3*a - 6. What is the units digit of o(x)? 2 What is the thousands digit of (40/16 + -2)*4390? 2 Let i(f) = 2*f**2 - 10. Let n be i(-3). What is the units digit of (-10 + n)*(-10)/4? 5 Suppose 0*i = -4*i - 416. Let v = i - -189. What is the units digit of v? 5 Suppose 3*h - 8*h = -9145. What is the tens digit of h? 2 Suppose j = 5*j - 3*r - 4, -5*j = -5*r. Let d be 40/18 + (7/9 - 1). Suppose 3*x = m - 4, -j*x - x = 3*m + d. What is the units digit of m? 1
{ "pile_set_name": "DM Mathematics" }
y 16? -346.1 Work out -0.65 + 1340. 1339.35 What is -0.4 minus 2.378? -2.778 Work out -7057 - -4. -7053 Work out -0.13 + 748. 747.87 526 - 41 485 Sum 2081 and -5. 2076 6.217+-0.08 6.137 What is the difference between 0.54 and -0.16426? 0.70426 What is -0.04 take away -0.042071? 0.002071 Put together -655 and -3. -658 What is 5 minus 1169.02? -1164.02 What is 10928 plus 5? 10933 Work out -1 - 87.95. -88.95 Calculate -7 + -8548.24. -8555.24 What is the distance between 7697 and -3? 7700 Calculate 0.2 + -7439. -7438.8 Subtract 470.02 from 41. -429.02 -10 - 0.3122 -10.3122 Work out 0.10806 - 1. -0.89194 Subtract -0.4 from -27249. -27248.6 Total of -100586 and 80. -100506 Calculate -3307 - 1. -3308 -0.77 + 6.713 5.943 Calculate 8 + 0.486. 8.486 -16+-0.128 -16.128 Work out -0.5 + -19.22. -19.72 Calculate 4311 + 5.1. 4316.1 Add together -0.014 and 0.79. 0.776 Subtract 1 from 17.74. 16.74 41 - 1190 -1149 0.04958746 - 0.1 -0.05041254 What is -3898 plus 5? -3893 What is 182.7 minus 12? 170.7 Work out 3976 + -3. 3973 Work out 2.3 + -92. -89.7 What is the distance between -9 and 348? 357 0.5 + -0.1524 0.3476 Work out -0.0008 - 4263. -4263.0008 What is -0.39 plus 1361.8? 1361.41 What is the distance between 576177 and 0.02? 576176.98 What is 0.6 less than 88? 87.4 What is 3 plus 1083257? 1083260 What is 3 minus 0.0697? 2.9303 What is 0 + 42.3? 42.3 What is -1 take away 5889? -5890 What is -0.1719 take away -0.4? 0.2281 What is 0.3 less than 1703? 1702.7 Work out 0.396 + -0.06. 0.336 Add -23 and 0.03388. -22.96612 What is -36 minus 2084? -2120 What is the distance between -0.3 and -459.713? 459.413 What is the difference between 34 and -0.08? 34.08 What is the difference between -1.3162 and -3? 1.6838 Calculate -3.4 - -30. 26.6 What is 0.0607794 less than 0.1? 0.0392206 Put together 17454 and -7. 17447 What is 358537 plus 4? 358541 What is -6691 plus -0.051? -6691.051 0.63+35 35.63 What is -13 less than 20.64? 33.64 What is 37.058 minus 2.1? 34.958 Sum 4 and 2917. 2921 Add together -0.08 and 0.44. 0.36 Sum -16 and -3451. -3467 What is 0.04235 take away 65? -64.95765 Work out -35 + -77. -112 What is 0.3 less than -30296.71? -30297.01 Add together -12195 and -0.4. -12195.4 What is -36.5 - -4? -32.5 What is 50478.3 take away -0.2? 50478.5 Put together -0.04 and -3008.2. -3008.24 Work out -0.7 - 302. -302.7 27.73 + -4671 -4643.27 What is 611 plus -6? 605 Put together -4 and -4005. -4009 Sum -2 and -0.090966. -2.090966 Calculate 6347.38 + -0.1. 6347.28 Work out -0.057 - 0.11662. -0.17362 What is -5 take away 0.63741? -5.63741 Work out 0.6 + -0.493. 0.107 0.2 - -1324 1324.2 Add together -6 and -86983. -86989 Sum 0.3 and 450. 450.3 What is -4 less than 2944369? 2944373 What is -1791 less than -0.07? 1790.93 What is -5 less than 0.345645? 5.345645 What is 3258 minus -0.0498? 3258.0498 What is -4.672 - 210? -214.672 Calculate 0.3 + -435.9. -435.6 Add together -2 and 0.0871535. -1.9128465 Subtract 0.02 from -1095.59. -1095.61 What is 6 + 0.173? 6.173 What is 0.4 - -6608.6? 6609 What is 2017 plus -2? 2015 Subtract -0.2 from 5072. 5072.2 What is -0.4 minus 5.99? -6.39 Work out -37 + 3023.3. 2986.3 What is 651 less than -0.3732? -651.3732 Calculate -32.77 - -136. 103.23 Sum 2 and -210.09. -208.09 What is 366 plus -7? 359 What is 35 plus -0.89? 34.11 Add together 46 and 74. 120 What is -0.244 plus 0.78? 0.536 Subtract 0.5 from 8. 7.5 0.1 - -4 4.1 Put together 7.7 and 3.735. 11.435 Work out -0.1294 - 17. -17.1294 -1 + 1279 1278 Add -4 and -2195. -2199 Total of 1033 and -7017. -5984 What is 0.11026 minus 37? -36.88974 What is 0.1482 - -0.4? 0.5482 Work out -0.17 + -509. -509.17 Calculate -121860 - -0.22. -121859.78 -3.3034 - 0.4 -3.7034 What is -324 take away 2.12? -326.12 What is 0.28 - 8.53? -8.25 Sum 4 and 259431. 259435 What is -96228 take away -3? -96225 What is -4104 minus 0.436? -4104.436 Calculate 694.1 - -1. 695.1 -32 + 92 60 What is -47.5 - -22? -25.5 Calculate 589 + -18. 571 Put together -0.4 and 1851. 1850.6 885+1 886 Subtract -1579 from 24. 1603 Add 0.079 and 5. 5.079 -16.83+0.5 -16.33 Work out -18 + -0.086. -18.086 What is -61.355 less than 10? 71.355 Add 5111.7 and 5. 5116.7 What is the distance between -5 and -876? 871 What is -3 + 16900? 16897 What is the distance between 1 and 10.347? 9.347 Sum -671.8 and 4.51. -667.29 Add -10 and 27.93. 17.93 0.12791 + 159 159.12791 What is -0.9 plus -20? -20.9 What is 0.0562 plus 8614? 8614.0562 Calculate -475.8 - -0.009. -475.791 What is the difference between -48 and -260? 212 Work out -1.8 - 0.915. -2.715 -86 - 88159 -88245 What is 30135 less than -1? -30136 What is 0.12 take away 0.214? -0.094 What is 0.2581 minus 2? -1.7419 Put together 1.23 and 55. 56.23 Total of -1328.7 and -0.1. -1328.8 Calculate 0.746 + 46. 46.746 Sum 13633 and 0.5. 13633.5 Total of -1 and 67.202. 66.202 Put together 1.1 and 0.082. 1.182 Subtract -65.9 from 0.3. 66.2 -0.26+-7.3 -7.56 What is the distance between 4.14 and -648? 652.14 What is -0.04591 plus 0.1379? 0.09199 Sum 3 and -1121. -1118 -18.3+-60 -78.3 Put together 30218 and -5. 30213 Work out 0.18885 + -0.01. 0.17885 What is -0.4 + 3564? 3563.6 Put together 0.0613 and -0.0109. 0.0504 What is the difference between -948538 and 3? 948541 Calculate 56962 + -0.04. 56961.96 Add -0.1 and 345. 344.9 Sum 0.1 and -4259.2. -4259.1 What is -126213 plus 0.6? -126212.4 What is -1.089 - 26? -27.089 What is -516 less than -0.36? 515.64 What is 0 minus -2052? 2052 Sum -5 and -6.289. -11.289 What is 1028 minus 0.08? 1027.92 Calculate 0.2 + -0.41. -0.21 Add together 54 and -7. 47 622 - 314 308 Work out 2595 - 0. 2595 Work out 165925 - -4. 165929 -0.18 - 1139 -1139.18 Sum 1239.634 and -0.1. 1239.534 What is the difference between -24 and 1.198? 25.198 Subtract -0.3 from -54687. -54686.7 What is 28 plus 0.048? 28.048 Work out -0.1 - -18.4. 18.3 What is the difference between 101582 and 0.3? 101581.7 Work out -0.0503 + 4. 3.9497 What is 0.1 less than -7704? -7704.1 Calculate 0.02799 - 0.01. 0.01799 What is -3 - -0.0764217? -2.9235783 Work out 2.907 - 4. -1.093 What is 2.1 take away -13.5? 15.6 What is the distance between -866.97 and 4? 870.97 What is the distance between -491 and -0.85? 490.15 What is the difference between 0.06 and -25108? 25108.06 Calculate -0.4 - -606063. 606062.6 What is the difference between 5436.9 and 0.24? 5436.66 What is 0.6 less than -511? -511.6 What is 1.91 - 157? -155.09 Put together -8 and 0.081773. -7.918227 Subtract 714 from -1.1. -715.1 -0.03633+-1 -1.03633 9 + -149.4 -140.4 What is 26045 - -0.1? 26045.1 What is 0.026 + -4.2? -4.174 What is the distance between -1.076 and -2? 0.924 What is 8101 plus 21.9? 8122.9 Total of -0.0691 and -945. -945.0691 What is 212 minus -155? 367 Subtract 43009.1 from 0.1. -43009 Add together 0.1 and 5.03. 5.13 What is 12 plus 140? 152 Subtract -16 from -3374. -3358 Work out -24142 + -0.2. -24142.2 Put together 9.1 and 6. 15.1 What is -4.0259 plus -12? -16.0259 What is the difference between -61959 and 0.1? 61959.1 -800 + 0.18 -799.82 Work out 1597 - -10. 1607 Total of 8523 and 1. 8524 Calculate 3 + -191. -188 Calculate -710 + 461. -249 What is 9.868525 minus 2? 7.868525 Subtract 0.0056 from -0.3. -0.3056 Subtract -0.5 from 501. 501.5 Calculate -0.572 - -34. 33.428 What is -2.6 plus -500977? -500979.6 What is -0.6 - -17947? 17946.4 Put together -7.1 and -37182. -37189.1 Put together -16 and -1408. -1424 Work out -12 + 7. -5 What is 0.36 + 5? 5.36 Calculate 0.1 - 4. -3.9 Calculate 261 + 3.7. 264.7 What is the difference between -2 and 54064? 54066 What is -97 plus 62? -35 What is the distance between -4.442 and -2? 2.442 Add -0.021 and 0.48. 0.459 Calculate 3 - 210.663. -207.663 What is -443.8 take away -0.02? -443.78 What is 31220 take away -35? 31255 2.8+38 40.8 Work out -0.5 + -0.01958. -0.51958 What is -43 less than -3281? -3238 Subtract -32 from 57058. 57090 What is -36.3 + 0.6? -35.7 What is 3 take away 186653? -186650 0.4 + 1.98667 2.38667 What is -63 - 6.09? -69.09 What is -51 + 44.408? -6.592 Add together 4.1688 and -0.278. 3.8908 What is 353.65 less than -0.5? -354.15 0.5 - 22.171 -21.671 Work out -137 + -12.3. -149.3 -91677 - -0.013 -91676.987 224+-82.7 141.3 What is -117272 take away 0.2? -117272.2 What is the difference betwee
{ "pile_set_name": "DM Mathematics" }
2 (c) -0.4 (d) 8 b What is the closest to -19 in 75, 0.2, -2/5, -0.08? -2/5 What is the nearest to -1 in -0.5, 1/3, -12610, 2/11, 0.4? -0.5 What is the closest to -0.6 in -2, -5.8, 23, 1/4, 4? 1/4 What is the nearest to -35/2 in 5, -1.1, 2, -2? -2 Which is the nearest to 3? (a) -0.1 (b) -1/6 (c) -4/5 (d) 10 (e) -512/13 a Which is the nearest to -20/11? (a) 2/3 (b) -74 (c) -15 a What is the closest to -2 in 897/4, 1/4, -24/11, -0.5? -24/11 What is the nearest to -0.133 in -0.3, -0.5, -5, 0.2? -0.3 What is the nearest to 1 in 4/3, 0.1, -4, -2, 41/112? 4/3 Which is the closest to 0? (a) -0.2 (b) 2/3 (c) 19 (d) -47/2 a What is the nearest to -0.1 in 0.48, 7, 3, 2/9, 5/4? 2/9 What is the nearest to -0.11 in 0, 4, 1/18, -1? 0 What is the closest to 40628 in -4/7, -5, 3/4? 3/4 Which is the nearest to -48? (a) -1/3 (b) 2/13 (c) -3 (d) 0.134 c What is the nearest to 6 in -40, -20, -21, -1? -1 What is the closest to -71 in -0.4, 3/169, -4, -2/19? -4 What is the closest to -0.2 in 491, -0.11, -2/9? -2/9 Which is the closest to 30? (a) -2 (b) -3 (c) -9/17 (d) 4/9 d Which is the nearest to -0.1? (a) 26 (b) -3 (c) -0.006 (d) 3 c What is the nearest to -936 in 3, -18, -3, -3/8? -18 What is the nearest to -1 in -2/1021, -1/2, 0.01? -1/2 What is the nearest to -2/3 in 1/5, -1, 150/7? -1 What is the closest to -1221 in -0.1, 0.4, -2, -0.35? -2 Which is the closest to 0? (a) -5 (b) 0.05 (c) 39 b Which is the nearest to 9? (a) -0.002 (b) 2/7 (c) 0 (d) -2.3 b What is the nearest to -11 in 2/7, 2, -4, 2/5, 8.29? -4 Which is the closest to -2/3? (a) 8 (b) -0.08 (c) 0.2 b Which is the nearest to 0.1? (a) -4/7 (b) -3/2 (c) 3.4 a Which is the closest to 0.1? (a) -5 (b) 11 (c) 0.2 (d) -0.299 c Which is the closest to 4? (a) 6328/9 (b) -5 (c) 0.3 c Which is the closest to -68? (a) -1/3 (b) 0.1 (c) -5 (d) -0.04 c Which is the closest to -2? (a) -0.2 (b) -2 (c) 1 (d) -3 (e) 7 b What is the nearest to 2020 in 3, 5, -0.5, 2? 5 Which is the closest to -2/21? (a) -1/76 (b) 4 (c) 0 a What is the closest to 183 in -7, -0.4, 0, 0.03? 0.03 Which is the closest to -2/3? (a) -9 (b) 1/5 (c) 3.62 (d) 0.4 b What is the nearest to 1 in 67, 7/37, 0.1? 7/37 What is the nearest to 0.413 in 0.09, 2/13, -1? 2/13 What is the nearest to -0.1 in 0.12, -0.1, -320/3? -0.1 What is the nearest to 94 in -8, 2/5, 3/8, 5? 5 What is the nearest to -0.374 in -2/11, 2/7, -8? -2/11 Which is the closest to -0.2? (a) 2 (b) 1403 (c) 2/9 (d) -0.1 (e) -6 d Which is the closest to 0.3? (a) -227 (b) -3 (c) -19 b Which is the closest to 14? (a) -0.438 (b) -1 (c) -2/5 (d) 5/2 d Which is the closest to -0.08? (a) 11 (b) 3 (c) -0.002 c What is the closest to 1 in -1, 4/5, 20/19, -5, -15? 20/19 Which is the closest to 12? (a) 7 (b) 2 (c) -0.4 a Which is the nearest to -2/5? (a) -5 (b) -0.4 (c) -2 (d) 1 (e) 1/22050 b Which is the closest to 85? (a) 193/5 (b) -0.4 (c) 0.2 (d) -1/5 a Which is the nearest to 1/5? (a) 1/10 (b) -2 (c) -2/12121 (d) 8 (e) -1/12 a Which is the closest to -2? (a) -0.3 (b) 0.2 (c) -0.1 (d) 2.1 (e) -4/9 e What is the closest to 1/20 in 38, -5, 2, -0.3, 0.3? 0.3 Which is the closest to -3/161? (a) 0.1 (b) 1 (c) 4 (d) -3/8 a What is the nearest to -2/3 in -0.4, -2, 177/5, 4, 31/4? -0.4 Which is the closest to -1? (a) -0.4 (b) -4 (c) -377 (d) 0.3 (e) 0.8 a Which is the closest to -0.1? (a) -1/4 (b) -2 (c) -357 a Which is the nearest to 2? (a) -3/4 (b) 5/2 (c) 24/5 (d) 1/9 (e) -1/10 b Which is the closest to -3? (a) 1.2 (b) -2/13 (c) -1/2 (d) 1/2 c Which is the closest to 9? (a) -22 (b) 0 (c) 46 b What is the nearest to -25 in -1/3, 0, 1, 81? -1/3 Which is the nearest to 68.17? (a) 4 (b) 2 (c) -0.2 (d) -1 a What is the nearest to -0.0913 in -2/9, -1, 2/3, 3? -2/9 What is the nearest to -4/7 in -54, 2, 12? 2 What is the closest to -1 in -3/4, -53, -2, -1.015? -1.015 What is the closest to 0.2 in -1/5, 1/6, -10, 0? 1/6 What is the nearest to -7.2 in -1, 1/5, 59.5, 2? -1 Which is the nearest to 2/3? (a) 159/26 (b) 1 (c) 5 (d) -0.4 b What is the closest to 1 in -1443, -4, -5? -4 What is the nearest to 0.46 in -7/82, 5, -3? -7/82 What is the nearest to 0.1 in 1, -0.1, -822018? -0.1 Which is the closest to -0.1? (a) -0.2 (b) -16422 (c) -19 a Which is the closest to -0.1? (a) 4 (b) -39 (c) -18 (d) 1 (e) 3 d Which is the closest to 0.2? (a) 4 (b) 1/5 (c) 0 (d) -1/3097 (e) 2/7 b What is the closest to -0.65 in -13, -2, -2/13, -5? -2/13 What is the nearest to 0.1 in -5, 12200, 4? 4 Which is the closest to -1? (a) 2/15 (b) -4455 (c) 5 (d) -4/3 d What is the nearest to 2 in 2/13, -206/3, 1.2, -0.2? 1.2 Which is the closest to -8/9? (a) 13 (b) -45 (c) 2 (d) -1 d Which is the closest to 17/62? (a) 0 (b) 6 (c) 6/5 a What is the nearest to -0.044 in -1/6, 5, -0.37, 2? -1/6 What is the closest to 1/18 in 0.3, -6/5, 8? 0.3 Which is the closest to 219? (a) -2 (b) 2/7 (c) -3 (d) 8 d What is the nearest to 2/7 in 2/23, 2/19, -5740? 2/19 Which is the nearest to -1? (a) -3/2 (b) 7/42284 (c) 2/7 a What is the closest to 0.3 in 0.04, -1/57, -1/3, 0.5? 0.5 What is the nearest to -262 in -2/7, 4, -0.2, -0.08? -2/7 What is the closest to 33 in 330, 0.5, 2? 2 What is the nearest to -10 in 1, -43, -0.2, 4/7? -0.2 Which is the closest to -1? (a) 2 (b) -5 (c) -0.697 c Which is the closest to 0? (a) -4 (b) 36 (c) -518 (d) 2/15 (e) 0.4 d What is the closest to 1117 in -0.5, -5, 0.5, -2? 0.5 What is the nearest to -0.14 in 0.15, 0.4, -650/3? 0.15 What is the nearest to 0.6 in -237, 0, 0.5, -3? 0.5 Which is the nearest to -0.1? (a) -0.06 (b) -435 (c) -0.1 (d) 740 c What is the nearest to 0 in 1/5, 1, 1911/5? 1/5 Which is the closest to -4? (a) 2/71 (b) -4/7 (c) 2 (d) -5 d Which is the closest to 1? (a) 0.5 (b) -20 (c) -8 (d) -5/2 (e) 1/9 a Which is the closest to 1/242? (a) 1/4 (b) -2/3 (c) -4 (d) 0 d What is the nearest to 37 in 3, -2, 0.4? 3 Which is the closest to -1? (a) 80691 (b) 3 (c) 0 (d) 0.1 (e) 4/3 c Which is the closest to 2? (a) -3217 (b) -3/157 (c) -0.5 b Which is the nearest to 300? (a) -67/7 (b) -0.4 (c) 1 c Which is the closest to 2/3? (a) 0 (b) 34323/14 (c) 1 c What is the nearest to -55 in 3, 0.375, 5, 2/11, -1? -1 Which is the nearest to 2/3? (a) 3 (b) -0.1 (c) -22 (d) -5/6 (e) 1 e Which is the nearest to 5? (a) 1/3 (b) 1 (c) -1/7 (d) -1 (e) -1.55 b Which is the nearest to 0? (a) -6 (b) 0 (c) 0.2 (d) 36/13 (e) -0.3 b Which is the closest to 4/119? (a) 1/5 (b) 1 (c) -0.2 a Which is the closest to 2/7? (a) -2 (b) -356 (c) -239 a Which is the closest to 1? (a) -21 (b) -5 (c) -3 (d) 75 c Which is the nearest to 1051? (a) -2 (b) -0.6 (c) 0.2 (d) 3 (e) 1/2 d What is the nearest to 201 in -1, -0.1, 66/5, -1/2, -0.3? 66/5 Which is the nearest to 1? (a) -9 (b) 28.2 (c) 74 a What is the closest to -2/7 in -0.1, -0.5, -2.4, 3, -2? -0.1 Which is the nearest to 3/2? (a) -0.4 (b) 0.4 (c) -2/17 (d) 433 b Which is the nearest to -16/57? (a) 5 (b) 2 (c) -7 b Which is the closest to -13/4? (a) 1/4 (b) 0 (c) 80 (d) -0.1 (e) -2/17 e Which is the closest to -5? (a) 0.5 (b) -1 (c) -4/5 (d) 0.103 b Which is the nearest to 1? (a) -4 (b) 0.162 (c) -1/6 (d) -2 (e) 1/2 e What is the nearest to -0.2 in -14, -1/4, 2, 0? -1/4 What is the closest to -2/15 in -0.1, -2/21, -106, 4? -0.1 What is the nearest to -2/7 in -4/7, 0.078, 160? -4/7 Which is the closest to 966? (a) -1 (b) 2/7 (c) -0.18 (d) 0.3 d What is the closest to 4 in 5, -2/3, 5/6, 4476? 5 Which is the closest to 0.2? (a) -0.12 (b) -2/3 (c) 3 (d) -10/11 a What is the nearest to -7 in -359/5, 4, 1? 1 Which is the closest to -0.9? (a) -3/52 (b) -1 (c) -1/3 (d) -8 b Which is the closest to 0.2? (a) -1 (b) 515/4 (c) -2 (d) 2 a Which is the closest to -1/2? (a) -0.2 (b) 5/7 (c) -118 (d) 1 a Which is the closest to 13? (a) 2 (b) 23 (c) 0.3 (d) 0.4 (e) 0 b Which is the closest to 2/7? (a) 1/8 (b) -1/23 (c) 4 (d) 9 (e) -5 a Which is the nearest to 3/7? (a) 58 (b) -1/3 (c) -0.5 b Which is the closest to 0.1? (a) -7/439 (b) 1.6 (c) -2 a What is the closest to 1 in -84, -2/9, -5, -19? -2/9 Which is the clos
{ "pile_set_name": "DM Mathematics" }
1/110 Four letters picked without replacement from {k: 2, j: 4, v: 2}. What is prob of sequence kkvv? 1/420 What is prob of sequence nns when three letters picked without replacement from nannsnrnnannannsbn? 55/1224 Two letters picked without replacement from botwtoyc. Give prob of sequence ct. 1/28 What is prob of sequence xppy when four letters picked without replacement from {i: 3, y: 6, x: 1, d: 4, p: 1, g: 1}? 0 Two letters picked without replacement from wwwwhhw. What is prob of sequence hw? 5/21 Two letters picked without replacement from iiiinwwiw. What is prob of sequence wn? 1/24 Calculate prob of sequence dd when two letters picked without replacement from {w: 2, d: 3}. 3/10 Four letters picked without replacement from {f: 6, w: 1, a: 3, q: 3}. Give prob of sequence aqfq. 9/1430 Four letters picked without replacement from {c: 1, i: 1, m: 4, a: 3, p: 3, k: 3}. What is prob of sequence kcma? 1/910 What is prob of sequence ahh when three letters picked without replacement from hcmafmhxx? 1/252 Three letters picked without replacement from {c: 7, r: 2}. Give prob of sequence ccc. 5/12 Calculate prob of sequence oku when three letters picked without replacement from {u: 1, f: 2, a: 3, o: 1, j: 3, k: 1}. 1/990 Two letters picked without replacement from hkthk. What is prob of sequence ht? 1/10 Two letters picked without replacement from {l: 1, z: 2, v: 2, t: 4}. Give prob of sequence vv. 1/36 Four letters picked without replacement from rwwrwrwwrwrrw. Give prob of sequence rwwr. 21/286 Two letters picked without replacement from {e: 1, c: 1, r: 3}. What is prob of sequence re? 3/20 What is prob of sequence qxg when three letters picked without replacement from uuguxuuxgxqq? 1/110 Three letters picked without replacement from {f: 3, j: 1, e: 2, k: 1, b: 6}. What is prob of sequence jef? 1/286 Two letters picked without replacement from ddzqppqpdjpddfq. What is prob of sequence jq? 1/70 Two letters picked without replacement from {z: 9, e: 2}. What is prob of sequence ee? 1/55 Three letters picked without replacement from {u: 4, b: 1, m: 1, j: 1, k: 1}. Give prob of sequence mmm. 0 Calculate prob of sequence jg when two letters picked without replacement from {c: 2, j: 4, p: 1, r: 2, a: 2, g: 1}. 1/33 What is prob of sequence pe when two letters picked without replacement from {p: 1, y: 2, e: 2, t: 1}? 1/15 Four letters picked without replacement from zdzjkzkkjjdlzjjkkdzj. Give prob of sequence zjlz. 1/969 Calculate prob of sequence rrrr when four letters picked without replacement from rrmrrrrmrrrr. 14/33 Two letters picked without replacement from zxzzx. Give prob of sequence zz. 3/10 Three letters picked without replacement from tlttueggtt. What is prob of sequence egg? 1/360 Calculate prob of sequence lel when three letters picked without replacement from tntlsplenneel. 3/286 Three letters picked without replacement from iiiiiiiiigggiigiiig. Give prob of sequence ggi. 140/2907 Calculate prob of sequence nf when two letters picked without replacement from ffnnnfffffffffff. 13/80 Calculate prob of sequence cd when two letters picked without replacement from {g: 1, d: 1, c: 1, y: 2}. 1/20 Calculate prob of sequence trrt when four letters picked without replacement from ttrtrr. 1/10 Calculate prob of sequence pp when two letters picked without replacement from qpp. 1/3 Four letters picked without replacement from lqwqllqlqwyyq. What is prob of sequence llyl? 2/715 Three letters picked without replacement from {f: 1, x: 3, e: 1}. What is prob of sequence xex? 1/10 Two letters picked without replacement from {v: 1, x: 5, g: 1, r: 2, o: 6, p: 2}. What is prob of sequence ro? 3/68 Calculate prob of sequence hy when two letters picked without replacement from huuqqqimiyiy. 1/66 Calculate prob of sequence hh when two letters picked without replacement from vhyyvuvhyyyyyvvy. 1/120 Calculate prob of sequence omm when three letters picked without replacement from mezemsmojezmojzmejme. 1/114 Calculate prob of sequence mtg when three letters picked without replacement from {m: 7, y: 1, b: 2, g: 2, t: 1, n: 6}. 7/2907 Four letters picked without replacement from {k: 2, z: 2, e: 1, v: 4, q: 6, n: 3}. Give prob of sequence vqvz. 1/510 What is prob of sequence nn when two letters picked without replacement from qnm? 0 Calculate prob of sequence mda when three letters picked without replacement from {b: 4, m: 1, a: 2, d: 9}. 3/560 Calculate prob of sequence gn when two letters picked without replacement from fingiiiniif. 1/55 What is prob of sequence fn when two letters picked without replacement from wwkkwknwwywwfwwwwf? 1/153 Two letters picked without replacement from {r: 2, n: 2}. Give prob of sequence nn. 1/6 Calculate prob of sequence bbb when three letters picked without replacement from {b: 3}. 1 What is prob of sequence wj when two letters picked without replacement from {z: 2, v: 2, w: 1, i: 1, p: 2, j: 1}? 1/72 Calculate prob of sequence pj when two letters picked without replacement from {h: 10, j: 9, p: 1}. 9/380 What is prob of sequence el when two letters picked without replacement from jeulmueg? 1/28 Three letters picked without replacement from {a: 1, v: 1, r: 2, s: 3, c: 3}. Give prob of sequence rvc. 1/120 Calculate prob of sequence pmp when three letters picked without replacement from {p: 6, m: 4}. 1/6 Calculate prob of sequence sw when two letters picked without replacement from {w: 2, q: 3, s: 1, m: 6, c: 1}. 1/78 Four letters picked without replacement from {a: 2, w: 7, o: 7, i: 1}. What is prob of sequence aiaw? 1/4080 What is prob of sequence wed when three letters picked without replacement from krwwdewwe? 1/63 Four letters picked without replacement from {c: 1, v: 1, d: 1, t: 2, s: 1, a: 2}. Give prob of sequence scda. 1/840 Calculate prob of sequence nf when two letters picked without replacement from effnre. 1/15 Calculate prob of sequence jpe when three letters picked without replacement from {q: 2, p: 1, g: 2, e: 14, j: 1}. 7/3420 Calculate prob of sequence gzg when three letters picked without replacement from gzzgzzzzgzgzg. 40/429 Two letters picked without replacement from gnii. What is prob of sequence gn? 1/12 What is prob of sequence fq when two letters picked without replacement from {r: 3, q: 1, f: 3}? 1/14 Calculate prob of sequence tjxt when four letters picked without replacement from {t: 2, x: 4, l: 6, j: 6}. 1/1530 Four letters picked without replacement from taows. Give prob of sequence awst. 1/120 Four letters picked without replacement from ppppppppppppppprppp. What is prob of sequence pppr? 1/19 What is prob of sequence jqk when three letters picked without replacement from kraaqjraajar? 1/660 Four letters picked without replacement from {n: 9, c: 1, y: 1, l: 6}. Give prob of sequence nnnn. 9/170 Four letters picked without replacement from {x: 2, l: 3, i: 3, n: 2, s: 4, j: 2}. What is prob of sequence xxni? 1/3640 Two letters picked without replacement from thbphkxp. Give prob of sequence bt. 1/56 Two letters picked without replacement from {c: 3, k: 2}. Give prob of sequence cc. 3/10 Three letters picked without replacement from {y: 7, j: 2, w: 11}. What is prob of sequence yjj? 7/3420 Calculate prob of sequence iien when four letters picked without replacement from {n: 4, y: 2, i: 6, q: 2, l: 1, e: 4}. 5/969 Three letters picked without replacement from hmwdmehhmjhdmw. What is prob of sequence jdm? 1/273 Calculate prob of sequence rur when three letters picked without replacement from {r: 6, j: 2, u: 4}. 1/11 Calculate prob of sequence mmm when three letters picked without replacement from mmmmmgmmmmmmmmmmmmm. 16/19 Three letters picked without replacement from itiwjtiticiiciiyyic. Give prob of sequence jyc. 1/969 Calculate prob of sequence ym when two letters picked without replacement from eyyyymyyyexbmyxey. 9/136 Four letters picked without replacement from {i: 3, y: 13}. Give prob of sequence yiyy. 33/280 What is prob of sequence kkk when three letters picked without replacement from kkhkhkkkkhkkkkkkhkkh? 91/228 Calculate prob of sequence wi when two letters picked without replacement from {n: 1, w: 2, o: 5, i: 6, h: 2, x: 1}. 3/68 Three letters picked without replacement from {r: 1, f: 3, j: 5,
{ "pile_set_name": "DM Mathematics" }
+ 1. Suppose v = -v - 4. Let w be p(v). Let r = 14 + -18. Sort w, -3, r in decreasing order. w, -3, r Let m = 0.24 - -0.06. Sort -5, 6, m in decreasing order. 6, m, -5 Suppose -q - 3 + 2 = 0. Sort 0, 17, q in ascending order. q, 0, 17 Let t(g) = g - 4. Suppose 20 = 3*j + j. Let v be t(j). Let d be (9/12)/(v/(-4)). Sort d, 1, 3 in descending order. 3, 1, d Suppose -3*m + 0*m = -12. Let y = 3 - m. Sort y, -2, -4 in increasing order. -4, -2, y Let d = -0.2 + 0.4. Let v = -29 + 17. Let i = -14 - v. Sort 2, i, d. i, d, 2 Suppose -4*y + 9 + 7 = 0. Suppose y + 4 = -4*t. Let g = -8 - t. Put -3, g, 3 in decreasing order. 3, -3, g Let m(c) = -c**2 + 3*c + 2. Let h be m(4). Suppose -4*x + 27 = -2*x + 5*k, -3 = -k. Let g be 11/3 - 4/x. Sort -5/3, h, g in decreasing order. g, -5/3, h Suppose -a + 40 = 36. Sort -1, 5, a, 2 in ascending order. -1, 2, a, 5 Suppose -l + 4*l - d = 29, 4*l - d = 38. Let y = 11 - 14. Put -2, l, y in ascending order. y, -2, l Suppose -s + 3*z = z, -s - z = 6. Let y be (s/132)/(2/6). Let w = 1 + 0. Put 2/13, y, w in descending order. w, 2/13, y Suppose 3*l + 3 = 5*q + 9, -2*l + 4 = 2*q. Suppose 0 = -25*j + 28*j. Sort j, 4, l in ascending order. j, l, 4 Let r = 0 + -7. Let h = r - -10. Put 5, h, 2 in descending order. 5, h, 2 Let n = -0.026 + -8.174. Let a = n - -8. Sort a, 2/11, 3. a, 2/11, 3 Let m = 0.029 + -5.029. Let w = -3.93 - 0.07. Sort m, w, 3. m, w, 3 Let o(x) = -x**2 + 11*x + 1. Let v be o(11). Let i = v - -1. Sort 3, 5, i in descending order. 5, 3, i Suppose 3*s - 2*b + 14 = 0, 3*s + 0*b + 22 = 4*b. Sort s, 4, -3, 1. -3, s, 1, 4 Let x = 1 + -2. Suppose 2*y + 2*k + 2 = 0, -5*y + 4*k - 6 = 8. Sort x, 1, y in decreasing order. 1, x, y Let x = 2.67 - -0.33. Put x, 3/7, 1 in decreasing order. x, 1, 3/7 Suppose 2*j = -3*j + 15. Suppose 9 = n + j*v, 3*n - v - 3 = 2*v. Put -5, n, -1 in ascending order. -5, -1, n Suppose -11 = -f - 13. Sort 2, -5, f in descending order. 2, f, -5 Let j(a) = -a + 5. Let v be j(0). Let f = 2 - v. Put -4, f, -1 in descending order. -1, f, -4 Let i = -2 - -2.1. Let a = -4.75 + 0.35. Let f = a + 4. Sort f, -4, i in decreasing order. i, f, -4 Let p = 0.3 - 0.4. Let u = -178 + 1248/7. Put u, p, 14 in increasing order. p, u, 14 Suppose 0 = -5*t + 10, -2*p + 4*t + 20 = 8*t. Let b be p/(-4)*130/(-15). Let i = 8 - b. Put -2, -3, i in descending order. -2, -3, i Let b(d) be the second derivative of d**3/6 + 15*d**2/2 - d. Let c be b(0). Let f = -10 + c. Sort 1, -4, f in ascending order. -4, 1, f Let r(g) = g - 6. Let c be r(9). Sort 2, 0, c in decreasing order. c, 2, 0 Let p = -6 - -9. Suppose u = w + p*w + 4, -3 = 3*w + 4*u. Sort w, -5, 2 in decreasing order. 2, w, -5 Let a = -5 + 6. Let k = -2 + a. Let m = k + 3. Sort -0.3, m, 4. -0.3, m, 4 Suppose m = -4*f + 15 + 12, -5*f - m = -33. Let i be 3/(-6)*f*1. Put i, 4, -1 in ascending order. i, -1, 4 Let u = 2 + -2. Let x = -3.96 - 0.04. Let d = -0.12 - -1.12. Put d, x, u in ascending order. x, u, d Let r = 2.6 - 17.6. Let y = 14.6 + r. Sort 2/7, y, 0.2. y, 0.2, 2/7 Let f be 2 + -12 - 124/(-12). Let i(p) = -p**3 + 5*p**2 - p + 3. Let q be i(5). Suppose k = 3 + 1. Put f, q, k in descending order. k, f, q Let s be 10/(-45) + 26/36. Sort 0.2, s, 2/7 in descending order. s, 2/7, 0.2 Let a = 3.2 - 4. Let q = 1.3 + a. Let p = 1 - 4. Put p, q, 3 in ascending order. p, q, 3 Let p = 0.3 + -0.3. Let f = -0.1 - p. Let j = -0.2 + f. Put j, -4/5, -3 in descending order. j, -4/5, -3 Suppose -5 = -3*m - 0*i + i, 4*m - i = 7. Suppose -m*b - 12 = -5*b. Put 0.5, b, -0.3 in decreasing order. b, 0.5, -0.3 Let h be (2/4)/(2/(-4)). Suppose -5*r - 34 = -6*o + 9*o, -o + 2*r = -7. Put 2, h, o in increasing order. o, h, 2 Let c = -23 + 29.2. Let f = c + -1.2. Put f, -1, -1/8 in decreasing order. f, -1/8, -1 Let a(p) = p**2 + 15*p + 12. Let q be a(-14). Sort q, 5, -5, 1. -5, q, 1, 5 Let o = 6/31 - 135/217. Let q be (-2)/(-8) + 16585/140. Let x = -119 + q. Sort x, 0.3, o in decreasing order. 0.3, x, o Let s be 2 + -2 + (-9)/3. Let i = 0 + s. Put -4, i, 2 in descending order. 2, i, -4 Let q = 4 - 7. Let a(v) = -6*v + 1. Let b be a(-1). Sort b, q, -1 in decreasing order. b, -1, q Let i be 2/(-4)*(-6 - 0) + -6. Put 2, 0.8, -4, i in decreasing order. 2, 0.8, i, -4 Suppose -2*y + 5 = -5. Let v = 88/3 - 29. Suppose -o + 1 + 7 = -3*p, -3*o + 3*p + 12 = 0. Put v, y, o in increasing order. v, o, y Suppose x - h + 1 = -4*h, x = 2*h + 4. Let w be x + -1 + -3 - -2. Let o be w + (-1)/1 + -3. Sort -1, 2, o in ascending order. o, -1, 2 Let c = 17 - 15. Put c, -2, 3 in ascending order. -2, c, 3 Let o be 406/(-126) + 4/18. Put -4, 2, o in descending order. 2, o, -4 Suppose -10*a = -7*a + 6. Sort 3, 6, a in decreasing order. 6, 3, a Suppose 6 = 2*y - 0*y. Suppose -3*m + y + 3 = 0. Sort m, 0, 4 in decreasing order. 4, m, 0 Let a = -188/445 + 2/89. Let g = 6.1 + -5. Let q = 0.9 + g. Put a, q, 1/5 in ascending order. a, 1/5, q Suppose 6*g = 3 + 3. Sort -5, 2, -4, g. -5, -4, g, 2 Suppose 3*a - 12 = -2*v, 0*a + 2*a - 1 = v. Let x(j) = j + 6. Let f be x(-4). Let h be -6*(f - 103/51). Sort 4, v, h in decreasing order. 4, v, h Suppose 0 = 3*x + 4*u + 57, 5*x - 3*x = -4*u - 38. Sort x, -5, -2 in descending order. -2, -5, x Suppose -z + 12 = -4*z. Sort 0, z, -3 in descending order. 0, -3, z Suppose 30 = 5*g + h, -2*g + 4*h + 24 = 2*g. Let o = 2 - g. Suppose -w = -0 - 3. Sort o, w, -2 in decreasing order. w, -2, o Suppose -c + 6*c + i = 24, -5*i + 20 = 0. Sort c, -7, -5 in ascending order. -7, -5, c Suppose -5*x = 2*r - 27, -4*x - 1 = -3*x + 2*r. Suppose -x*i = -12*i + 20. Sort i, 0, -2. -2, 0, i Suppose -4*y = -0*y + 20. Let v = -27 + 24. Sort 4, v, y in descending order. 4, v, y Let f be (10 + 5)*(-1 + -1 + 1). Put 1, -5, f, 4 in descending order. 4, 1, -5, f Let r = 1.11 + -3.11. Sort 5, r, -1, -1/10. r, -1, -1/10, 5 Let f = 0.6 + -0.1. Let y be (-5 - -1) + 4940/1234. Let j = 1837/4319 + y. Sort -3, f, j in descending order. f, j, -3 Let j = -432/3097 + -3/163. Sort j, 5, -2 in descending order. 5, j, -2 Let d = -29 + 24. Sort 3, -3, d in decreasing order. 3, -3, d Let q(z) = -2*z**2 + 3*z - 3. Let v be q(2). Sort -3, -1, v in ascending order. v, -3, -1 Let d(w) = 2*w**2 + 4*w + 2. Let j(y) = -y - 2. Let r be j(0). Let g be d(r). Let b be 2/((g/(-3))/(-1)). Put 4, b, -4 in increasing order. -4, b, 4 Let u be 4/8 - (-2)/4. Sort u, -5, -4 in descending order. u, -4, -5 Let k = -30 + 119/4. Suppose 14*y - 9*y = -15. Put -13, k, y in descending order. k, y, -13 Let m be ((-3)/(-18))/(2/(-364)). Let o = m - -373/12. Put o, -3/2, -5 in decreasing order. o, -3/2, -5 Let m = 4 + -7. Let v(s) = -16*s + 273. Let u be v(17). Sort u, -1, m in ascending order. m, -1, u Suppose d - 4*h = -2*d + 13, -5*d + 14 = h. Suppose -m - 4*j - 21 = -2*m, 3*j = -d*m + 3. Let s = -4 - -2. Put m, s, -1 in decreasing order. m, -1, s Suppose l + 2 = -0*f + f, f = 4*l + 11. Suppose -13*i + 11*i - 4 = 0. Sort l, 1, i. l, i, 1 Let y = -71 - -68. Let z = -11 - -10. Sort y, 4, z in increasing order. y, z, 4 Let b(g) = -3*g - 3. Let y be b(-2). Suppose 4*m + 0*m = -y*p + 8, -4*m = p. Suppose 9*u = 6*u + 15. Put p, u, -1 in ascending order. -1, p, u Let p = 0.2 - 1.2. Let c = -5 + 4.6. Put p, -2/3, c in ascending order. p, -2/3, c Let s(t) = -t - 2. Let d = -15 - -8. Let a be s(d). Put 3, 4, a in decreasing order. a, 4, 3 Suppose -i + 19 = 4*k + 3, 5*k - 19 = -i. Let h be 2/i + (-2)/4. Suppose -s - 2*o = -4*o + 12, -3*o + 9 = h. Sort -5, s, -2. s, -5, -2 Let o(v) be the second derivative of v**3/6 + 5*v**2 - 2*v. Let k be o(-8). Sort -3, k, -1 in descending order. k, -1, -3 Suppose 0*n = 5*n - 25. Sort 9, n, -0.3, 1 in increasing order. -0.3, 1, n, 9 Let t = -24 - -27. Put 5, -2, t in descending order. 5, t, -2 Let v = 11 - 5. Let c be 4/6 - 28/v. Put 0, c, -5 in decreasing order. 0, c, -5 Suppose -2*v - 2*l - 2 = 0, -v - v = 3*l. Let j(o) = -o**3 + 6*o**2 + o - 8. Let c be j(6). Sort -5, v, c. -5, v, c Let f = 6.4 + -7. Let q = f + 0.1. Let g = 0.5 + q. Put 0.1, -3, g in increasing order. -3, g, 0.1 Let a = -2.4 - 0.6. Let t be (-6)/(-9) - (-8)/6. Suppose 4*r = t*r - 10. Sort r, a, -1/3 in increasing order. r, a, -1/3 Let s be 2/(-4) - ((-21)/(-6) + 0). Sort 0.5, s, 6. s, 0.5, 6 Suppose -2*t = -4 - 4. Let x = t + -1. Suppose 0*n - x = -n. Put -5,
{ "pile_set_name": "DM Mathematics" }
e (9/8)/((-24)/(-32)). Which is the nearest to j? (a) z (b) -1/4 (c) 0.3 c Let o be (-50)/20*(-1 - (-24)/25). Let g = 0.49 + -27.49. Let c = 30 + g. What is the nearest to 2 in c, 0.5, o? c Let x = 303 - 307. Let u = 71894/7 - 10226. Let y = -44 + u. What is the nearest to 1/8 in y, -5, x? y Let y be (-12)/10*15/(-6). Suppose 0 = 3*f + 12, 5 = -5*i - 3*f + 3. Suppose 0 = -i*k + y*k. Which is the nearest to -1? (a) k (b) 3/4 (c) 1 a Let q = 2 - -3. Let d = -104 + 727/7. Let x = -8744 + 8746. Which is the nearest to x? (a) -2 (b) q (c) d c Let p = -54.53 + -401.07. Let g = p + 456. What is the closest to -6 in 1, g, 4? g Let a = -993/4 - -247. Let m = -3453 - -3452.9. What is the nearest to -1 in -2/7, a, m, -7? a Suppose 0 = 280*n + 584 - 933 - 771. Which is the nearest to 268/9? (a) 1/3 (b) n (c) -0.3 (d) -2/11 b Let s = -1658/9 - -184. Let w be 26*(-5)/50 - -3. Let h = 27 + -27.3. Which is the nearest to w? (a) h (b) -1/7 (c) s b Let g = -0.09 - -8.09. Let r be (-3)/(-5)*(-20)/(-1 - 3). Suppose 2*d = -r*d + 25. Which is the nearest to g? (a) 4 (b) d (c) 0.4 b Let g = 1 + -3. Suppose -110*p = -113*p + 42. Let f(j) = j**3 - 15*j**2 + 13*j + 16. Let y be f(p). Which is the closest to -2? (a) g (b) y (c) 2/7 a Let i = -0.45 + 18.45. Let p = -224825/3 + 74942. What is the closest to p in i, -1/4, 0.3? 0.3 Let z = -73 + 105. Let s = -65 + z. Let p = s + 32. Which is the nearest to p? (a) 0.4 (b) -4 (c) -0.2 c Let k be (-1)/5*(-30)/4. Let n = 1628 + -1628.5. Which is the closest to -2? (a) n (b) 57 (c) k a Let z = -0.024 + -130.976. Let x = z + 130.9. What is the nearest to x in -5, 4, -1.2? -1.2 Let n be (0 - 8/30)/(163/(-550940)*-104). Let s be (-1)/(-8)*(-8)/6. Which is the closest to n? (a) -2/9 (b) -3 (c) s b Let w be 2 - (-1 + (-129)/(-45)). Let o = 11430.4 - 11430. Which is the closest to -3? (a) o (b) w (c) 1/2 b Suppose 1195*m = 1201*m - 30. Which is the closest to -2/3? (a) m (b) -0.4 (c) -1/3 (d) 4 b Let y = 1814.8 + -1814.8. Let o = 2.06 - 0.06. Which is the nearest to y? (a) o (b) 13 (c) 5 a Let m = -54197 + 54198.7. Let u = -8 + 11. Which is the nearest to u? (a) m (b) 3/2 (c) 2/13 (d) 2 d Let x = -4260 - -4257. Which is the closest to -1? (a) -85 (b) -1.2 (c) x b Let l = 1920/47 + -27989/470. Let f = -93/5 - l. Which is the closest to -2? (a) -18 (b) -5 (c) f c Let x = -3710.8 + 4226. Let y = x + -515. Let a = 0.1 + -0.2. What is the closest to y in 5, a, -0.4? a Let v = -153/2 - -78. Let r be (5109/78 + -61)/18. Which is the nearest to v? (a) r (b) -2/5 (c) 5 a Let p = 16.462 - 19.962. Which is the closest to 12? (a) p (b) 0 (c) -2/5 b Suppose 425 - 245 = 36*p. Let i = -7 + 7.4. Let q = i + -0.33. Which is the closest to -1? (a) 3/5 (b) q (c) p b Let g = -5085.3 + 5084.3. Let y = -3.6 + 4. What is the closest to g in 0.2, 0, y? 0 Let u be 3 + 92*6/504*(-6)/2. Which is the closest to -4.4? (a) u (b) -2 (c) 3/5 (d) -4 d Let b = -590.44 + 588. Let o = -2.39 - b. What is the closest to 1/2 in o, -5, -0.1, -0.3? o Let h = 4082600387/2415 - 5071559/3. Let r = h - -3536356/8855. Let v = 398 - r. Which is the nearest to v? (a) 1/3 (b) -1 (c) -5 a Suppose 117 = 14*s - 443. Suppose -s = -19*x - 21. Let l = -0.2 + 0.7. Which is the closest to 1/4? (a) x (b) -3 (c) l c Suppose 0 = 2854*l - 2834*l - 40. What is the nearest to 1 in -5/4, 1.2, -0.3, l? 1.2 Suppose -5*t + 20 = -3*w, -20*w + 23*w = -2*t + 8. Which is the nearest to w? (a) -8/3 (b) -0.45 (c) 0.5 b Let l be ((-21)/(-49))/((-18)/189). What is the closest to 0.3 in -4/7, l, -4? -4/7 Let m = -332.2 + 332.2. What is the nearest to m in -0.085, 3/5, 4, 0.1? -0.085 Let i be ((-11)/132)/(14/(-1344)). What is the nearest to -1 in 1.5, i, -2? -2 Let f = 0.8 - 1.1. Suppose 0 = -12*b - 0*b + 144. Suppose 0 = 6*c - 9*c + b. What is the nearest to -1 in c, -0.1, f? f Let p = -13.7 - 43.3. Let r = p + 55. What is the closest to 0 in r, 1, 3/2? 1 Let r be -16*(-14)/560*(-25)/(-10). Let b = 48 - 48. What is the nearest to r in b, -1/2, -4? b Let b = 0.03 - 0.13. Let f = -745.9 - -746. What is the closest to f in -0.4, 0.01, b? 0.01 Suppose 5*p + 11 + 524 = -5*x, -3*x - 4*p = 316. Let t = x - -449/4. Which is the closest to -1? (a) -7 (b) t (c) -1/5 c Let a = -13.25 - -12.95. Let o = -0.269 - 0.031. Let d = 0.1 + -0.2. What is the closest to o in a, 0.01, d? a Let c = -8.7 + 9. Let m = -7.295 - 0.205. Let w = m - 6.5. What is the closest to -1 in w, 4, c? c Let a be (-10)/(-4) - 1 - (-8)/16. Let r = -1185 - -1182. What is the nearest to 0 in -4/5, r, a? -4/5 Let g(m) = m**2 + 2*m + 1. Let d be g(-1). Let a = -704.2 - -612. Let f = -92 - a. What is the closest to d in 2, f, -3? f Let l be (-14)/231 + (-252)/(-891). Which is the nearest to 0.03? (a) 1.4 (b) l (c) -28 b Let v = -0.76 + 1.36. Let d(m) = m**2 + 10*m + 17. Let g be d(-8). Suppose 0 = -4*j, 2*n + j = 1 + g. Which is the closest to 1? (a) -1/5 (b) n (c) v b Let l = 0.419 + -0.27. Let b = l - -0.151. What is the nearest to 1/4 in -2, b, 2/25? b Let u be (-54)/(-6) - 6 - 6. Let z be 4 - 156/21 - -4. What is the nearest to -2 in u, 4, z? u Let w be 345/(-220) - 22/121 - -1. Which is the nearest to -1? (a) w (b) 0.3 (c) -5 (d) 2/19 a Let k = 0.416 - 0.016. Let n = 555 + -555.3. Suppose 0 = 3*p + 15 - 3. What is the nearest to k in 1, n, p? 1 Let r(o) = -o**3 + 9*o**2 - 5*o - 1. Let j be r(6). Which is the nearest to -1? (a) 0.05 (b) -4 (c) -3 (d) j a Let z = 5792 - 5801. What is the closest to 2 in 5/13, 3, 5, z? 3 Let j = 1.348 - 1.3. Let k = -0.052 - j. Let n = -2 - -1.8. What is the closest to -0.1 in -3/5, k, n? k Suppose 0 = -83*c + 94*c. Let f = -6 - -15. What is the nearest to -1 in c, -3/7, f? -3/7 Let r = -5 + 8. Let y be (4/(-10))/((-3)/(-1890)*7). Let v be (2/(-8))/((-18)/y). Which is the nearest to v? (a) 2/5 (b) -2 (c) r a Let l be (-32)/(-10) + (-39)/195. Let s be 1/(1/(-1))*(-1)/l. Which is the closest to -0.07? (a) s (b) 2/13 (c) 1 (d) 0.5 b Let g = -102 + 101.705. Let h = 0.195 + g. Let j be 3*9/(-15) - -1. Which is the nearest to 1/2? (a) h (b) -3 (c) j a Let t = -711.8 + 776. Let p = t + -66.2. What is the closest to -110 in 3/5, -0.1, p? p Let o = 1729.5 - 1345. Let i = 384 - o. Let l = -4 + 3. What is the nearest to 0 in 0.2, l, i? 0.2 Let x be ((-5)/(-40))/((2/(-24))/(10/(-60))). What is the nearest to x in 56, -4/3, 5, -2/7? -2/7 Let l = -1.66 - -1.671. Let y = 0.111 - l. What is the closest to y in -4/3, -4, 0.03? 0.03 Let t = 275 - -122. Let m = -400 + t. Let g = -0.7 + 4.7. Which is the nearest to 0? (a) 0 (b) g (c) m a Let k = -1045/7 + 149. Let z = -0.323 - -5.323. Let l = -1/27 - -59/135. Which is the nearest to k? (a) 2 (b) l (c) z b Let x = -6800 - -6840. Which is the closest to 1? (a) 1 (b) -4 (c) x a Let a = 15977 - 15972. Let g = 1588/9 - 176. What is the closest to -1 in -26, a, g? g Let x = -5.8 + 6.8. Let k = -1.654 - -1.454. Which is the closest to -1.2? (a) k (b) 2/19 (c) x (d) 5 a Let z = 3.1 + -0.4. Let c = z - -0.3. Let x be 4224/512 - (-2 + -1 + 12). What is the closest to x in 4, c, -1? -1 Let p = 20.356 + -0.456. Let l = 23.9 - p. What is the nearest to 2 in -2, l, -4? l Let x be 11/5 + 27 + -23 + -6. What is the closest to 3/19 in 2/7, -1, x? x Let o be (-114)/(-15) + 16/40. Suppose 0 = -m + o - 13. Let p = 0.2 + 0.8. What is the nearest to p in -0.1, m, -1? -0.1 Let d = -0.49 - 27.51. Let k = 32 + d. Let h = -0.51 - -0.61. What is the closest to h in 1/3, k, -2? 1/3 Suppose -37*q = -54*q + 51. Which is the closest to 3136? (a) 3/5 (b) -2 (c) q (d) 0.5 c Let x be (155/(-10) - -16)*0. Which is the nearest to x? (a) 5 (b) -0.59 (c) 3/8 (d) 1.2 c Let f = 510.4 + -510.7. What is the closest to 0.2 in -3, f, 17, -0.8? f Let n = -33200.1 - -33200. Suppose -4*d + 0*v - 96 = 2*v, -78 = 3*d + 3*v. Which is the closest to n? (a) 4 (b) -0.3 (c) d b Let u = -0.2494 - -0.5494. Which is the nearest to -1? (a) u (b) -0.95 (c) -2/7 (d) 1 b Let g = 6206/3 - 2068. Let i = 8.5 - 8. What is the closest to g in 9, -2, i? i Let s = 1815/7 + -23588/91. What is the nearest to 0.1 in 1/10, s, 0.2? 1/10 Let l = -4490 - -4491. What is the nearest to 1 in 6/7, l, -1/8, -1? l Let r = 1941 + -1942. Wh
{ "pile_set_name": "DM Mathematics" }
4507 a factor of 267598618? True Is 835986840 a multiple of 39? True Is 987849918 a multiple of 2313? True Is 150517874 a multiple of 3497? True Is 40 a factor of 2066763451? False Is 16 a factor of 7499152? True Is 2058275 a multiple of 2465? True Is 6987672 a multiple of 6? True Is 61 a factor of 3922423? False Does 987 divide 45248449? False Is 29096485 a multiple of 3184? False Does 13 divide 2301169? True Does 11 divide 1403539753? True Is 11 a factor of 3469288? False Is 189 a factor of 83344464? True Does 8 divide 17908924? False Is 21 a factor of 3134835? False Is 1164883084 a multiple of 1159? True Is 2797520 a multiple of 40? True Does 18 divide 495728766? True Is 144 a factor of 148161168? True Does 2727 divide 271741285? False Does 4 divide 1262980768? True Does 10 divide 47127714? False Is 1676 a factor of 11993456? True Is 1308 a factor of 32124967? False Is 72074253 a multiple of 252? False Is 263056188 a multiple of 94? False Does 235 divide 322121785? True Is 17119 a multiple of 901? True Does 118 divide 157172814? True Is 5132704 a multiple of 104? False Is 2601478149 a multiple of 15? False Is 146 a factor of 583416? True Is 31385952 a multiple of 416? True Is 2342644 a multiple of 244? True Does 8 divide 71461652? False Is 128 a factor of 14593025? False Is 1361877317 a multiple of 312? False Is 22617296 a multiple of 104? True Does 2 divide 6820310? True Is 20461780 a multiple of 2055? False Is 196 a factor of 158610702? False Is 199391203 a multiple of 9? False Is 9889308 a multiple of 153? True Does 16 divide 20517483? False Is 32 a factor of 6431374013? False Is 256947528 a multiple of 247? False Is 107 a factor of 89790817? False Is 24542910 a multiple of 978? True Is 1357741203 a multiple of 7? True Is 61 a factor of 70055816? True Is 472 a factor of 22450992? False Does 1927 divide 1010900346? True Does 38 divide 87410914? False Does 599 divide 117215308? False Is 721679 a multiple of 7? True Is 11959 a factor of 4965425889? False Is 122446120 a multiple of 914? False Is 1667 a factor of 124292965? False Is 7632458 a multiple of 277? True Is 23367087 a multiple of 1373? True Does 117 divide 82946053? False Does 317 divide 10404257? True Is 79662912 a multiple of 224? True Is 71 a factor of 31908607? True Does 18 divide 50378606? False Does 2105 divide 60315057? False Does 15 divide 7643970? True Does 609 divide 109282256? False Is 101567908 a multiple of 652? True Is 83261866 a multiple of 20? False Does 5332 divide 192233900? False Is 1052 a factor of 10572296? False Does 253 divide 113526356? False Does 3744 divide 1252023552? True Does 51 divide 3591538? False Is 4531 a factor of 115714585? False Is 18 a factor of 67535265? False Does 182 divide 1027453882? True Is 236 a factor of 36076516? False Does 1727 divide 66135465? True Is 8903 a factor of 3395094542? False Does 176 divide 894231415? False Is 411 a factor of 82907562? False Is 605 a factor of 36366275? False Is 1576903 a multiple of 851? True Is 4925340 a multiple of 42? True Does 66 divide 3323346? False Does 7 divide 120757812? True Is 1206825565 a multiple of 4? False Is 38 a factor of 27857667? False Is 390147937 a multiple of 15? False Does 4 divide 125271537? False Is 1151421029 a multiple of 367? True Is 562248 a multiple of 228? True Is 8 a factor of 599866848? True Is 761958720 a multiple of 48? True Is 28797939 a multiple of 73? False Does 842 divide 113621164? True Is 19055625 a multiple of 25? True Is 136 a factor of 26894408? True Does 1717 divide 112906486? True Does 7 divide 91109767? True Is 99843975 a multiple of 1243? True Is 10 a factor of 962333290? True Is 121226481 a multiple of 1966? False Is 26 a factor of 10899981? False Is 396 a factor of 63359653? False Is 84 a factor of 14252405? False Does 1001 divide 37204167? True Is 379 a factor of 45547083? True Is 19140102 a multiple of 477? True Does 332 divide 91642624? True Does 4 divide 167176399? False Does 44 divide 1031368316? True Does 1003 divide 701955871? False Does 76 divide 979229? False Is 557 a factor of 40978937? False Is 404458074 a multiple of 321? True Is 13 a factor of 6018368? False Does 41 divide 38014537? False Does 28 divide 880469072? True Is 2619 a factor of 494415109? False Does 93 divide 251191326? True Is 112 a factor of 72775136? True Is 52869544 a multiple of 56? True Is 238615761 a multiple of 19? False Does 232 divide 63671860? False Is 6996020 a multiple of 4? True Is 154 a factor of 18991197? False Is 2014396050 a multiple of 41? False Is 5128863 a multiple of 53? True Is 8 a factor of 4542740? False Is 16509343 a multiple of 260? False Is 816598120 a multiple of 26? True Is 1108 a factor of 67921508? True Is 740821628 a multiple of 21? False Does 83 divide 72841208? False Does 69 divide 29545414? False Does 427 divide 554080254? False Is 162 a factor of 6141706796? False Is 206871816 a multiple of 282? True Does 38 divide 24102206? False Is 86 a factor of 205899606? False Does 73 divide 119306144? False Is 278 a factor of 344964? False Is 50 a factor of 553666200? True Does 5660 divide 124443443? False Does 33 divide 60953739? True Is 6 a factor of 244806834? True Is 26053831 a multiple of 476? False Does 3989 divide 53584237? True Is 6380285 a multiple of 3? False Is 12236608 a multiple of 38? True Is 129472773 a multiple of 1868? False Is 166 a factor of 658420605? False Is 195085297 a multiple of 11? True Is 21935631 a multiple of 447? True Does 28 divide 213755775? False Does 1470 divide 96507236? False Is 1990 a factor of 942658699? False Is 4797965 a multiple of 564? False Is 11 a factor of 23277700? False Does 17 divide 7758953? True Does 746 divide 81827279? False Is 996822519 a multiple of 11? True Does 249 divide 16125987? True Is 49375957 a multiple of 28? False Is 50 a factor of 154124848? False Does 80 divide 390979520? True Is 60 a factor of 30845880? True Is 174142083 a multiple of 7? False Is 1460245000 a multiple of 250? True Is 55 a factor of 35958780? True Does 252 divide 2929030? False Does 22 divide 45495967? False Does 27 divide 160279993? False Does 67 divide 193772978? True Is 672176944 a multiple of 18? False Is 1407392030 a multiple of 22? True Does 174 divide 20966722? False Is 1047444544 a multiple of 296? True Is 159500425 a multiple of 1085? True Does 7407 divide 494658607? False Is 530 a factor of 63917440? False Is 25 a factor of 41144450? True Is 449587768 a multiple of 2078? True Is 8030885 a multiple of 4? False Does 8875 divide 2713624949? False Is 25928742 a multiple of 5151? False Is 180 a factor of 641722844? False Is 1589914695 a multiple of 895? True Does 175 divide 832136200? True Is 173 a factor of 3470787069? True Does 124 divide 95002068? False Does 49 divide 11123286? False Does 315 divide 7077282752? False Does 1962 divide 901377511? False Does 15 divide 2756872140? True Does 15 divide 40143510? True Is 99 a factor of 151991094? False Does 486 divide 5422515354? True Does 17 divide 968069471? True Is 2 a factor of 5413126? True Is 26 a factor of 29536078? True Is 280 a factor of 16161600? True Is 368091600 a multiple of 4110? True Is 209305037 a multiple of 17? True Does 2142 divide 6299624695? False Is 31 a factor of 41646728? False Does 22 divide 1261524? True Does 1077 divide 245434864? False Is 16783641 a multiple of 96? False Is 360 a factor of 16088760? True Does 6 divide 344257604? False Is 232 a factor of 4670057? False Is 827908296 a multiple of 1304? True Is 101 a factor of 38655852? False Is 12 a factor of 1866282120? True Does 23 divide 200301630? False Is 31650322 a multiple of 22? True Is 3547 a factor of 368921031? False Does 11 divide 14343564? False Is 4189402 a multiple of 197? True Does 126 divide 29651832? True Is 99644218 a multiple of 496? False Does 82 divide 10435692? False Is 318651890 a multiple of 23? True Does 7 divide 22170582? True Is 34401934 a multiple of 5? False Is 74 a factor of 20051993? False Is 4285054 a multiple of 38? False Does 82 divide 97688486? True Is 53 a factor of 18299469? True Is 3 a factor of 59768306? False Does 234 divide 280997964? True Does 16 divide 955483488? True Does 12 divide 54031274? False Does 2114 divide 198554089? False Is 38 a factor of 87
{ "pile_set_name": "DM Mathematics" }
r**4 + 744*r**3 + 6*r**2 Let r(j) = -4*j + 1. Let p(h) = -477*h + 117. Let w(m) = 6*p(m) - 702*r(m). Let d(v) = -2*v**2. Determine w(d(t)). 108*t**2 Let x(r) = -4365*r. Let h(o) = 9*o + 1. What is h(x(q))? -39285*q + 1 Let j(a) = -4*a - 2. Let q(l) be the first derivative of l**3 - 79. Give j(q(x)). -12*x**2 - 2 Let l(d) = 3*d - 5. Let w(b) = -23*b + 23*b - b**2. What is l(w(c))? -3*c**2 - 5 Let t(j) be the third derivative of j**6/240 + 3*j**4/8 + 18*j**2. Let i(f) be the second derivative of t(f). Let y(w) = 2*w**2. Calculate i(y(r)). 6*r**2 Let c(m) = -225774*m**2. Let h(g) = -8*g**2. Calculate h(c(v)). -407791192608*v**4 Let g(y) = y - y - y + 0. Let k(a) = -34*a**2 - 11. Let r(u) = 20*u**2 + 7. Let c(n) = -5*k(n) - 8*r(n). Give c(g(l)). 10*l**2 - 1 Let f(i) = -3*i**2 + 5*i**2 - 2*i**2 - 4*i**2 + 5*i**2. Let m(j) = 16*j. Calculate f(m(p)). 256*p**2 Let r(x) = 9*x. Let q(d) = 17 - 17 + 4*d**2 - 24*d**2. Give q(r(g)). -1620*g**2 Let u(s) be the second derivative of -s**3/6 - 9*s - 4. Let b(w) = 5*w**2. What is u(b(n))? -5*n**2 Let i(d) = 6*d**2 - 5. Let v(a) = -72 + 39 + 39 - 8*a**2 + a**2. Let b(h) = -6*i(h) - 5*v(h). Let j(w) = -2 + w + 2. Give b(j(k)). -k**2 Let o(p) = 27013*p + 1. Let f(k) = -k**2. Determine f(o(a)). -729702169*a**2 - 54026*a - 1 Let n = 74 + -77. Let h(r) = 3*r + 4. Let f(m) = -3*m - 3. Let x(w) = n*h(w) - 4*f(w). Let g(z) = 6*z**2 + 6*z - 6*z. What is g(x(u))? 54*u**2 Let z(b) = -6*b**2 + 26. Let m(t) = -1163*t + 2. Determine z(m(x)). -8115414*x**2 + 27912*x + 2 Let r(c) = 5771163*c. Let v(s) = 2*s. Calculate v(r(o)). 11542326*o Let f(m) = 2*m**2 + 14*m. Let d(a) = -713*a + 2. Give f(d(y)). 1016738*y**2 - 15686*y + 36 Let u(r) = 2*r**2 - 3*r - 6. Let z(w) = 2*w**2 - 4*w - 8. Let y(d) = -4*u(d) + 3*z(d). Let c(t) = -40*t**2. Give c(y(b)). -160*b**4 Let k(m) = 2*m. Let w(c) = -23*c**2 + 5*c + 9*c**2 - 15*c**2. Let z(o) = -72*o**2 + 12*o. Let u(q) = -12*w(q) + 5*z(q). Calculate u(k(f)). -48*f**2 Let w(z) = -z**2 - 25*z - 5. Let s(h) = 10*h + 2. Let r(v) = 5*s(v) + 2*w(v). Let k(u) = -u**2 - u. Determine k(r(q)). -4*q**4 + 2*q**2 Let h(m) be the second derivative of -103*m**4/4 - m**3/6 - 172*m - 2. Let b(s) = 2*s. What is b(h(f))? -618*f**2 - 2*f Let r(z) be the first derivative of 8*z**3/3 - z**2/2 - 31. Let y(o) = o**2. What is r(y(b))? 8*b**4 - b**2 Let r = 134 + -132. Let u(v) = 528*v**2 - 1056*v**r + 527*v**2. Let f(j) be the second derivative of j**3/6 + j. Calculate f(u(b)). -b**2 Let n(a) = -8083*a**2. Let k(o) = 3*o - 32. What is k(n(w))? -24249*w**2 - 32 Let u(b) = 2*b**2. Suppose -5*y + 2*j + 71 = -2*j, 0 = y + j - 7. Let p = y - -7. Let m(k) = 21*k. Let s(i) = -i. Let z(r) = p*s(r) + m(r). Give u(z(h)). 18*h**2 Let w(f) = -127203 + 7*f + 27*f + 91*f + 127203. Let g(r) = 6*r. Calculate w(g(d)). 750*d Let k(h) = -56*h - 14. Let r(d) = -2*d. Give k(r(q)). 112*q - 14 Let i(a) be the second derivative of -a**3/3 - 599*a**2/2 - 667*a. Let k(x) = -2*x. Calculate k(i(m)). 4*m + 1198 Let o(d) = -4097998*d. Let u(p) = -2*p**2. Determine o(u(y)). 8195996*y**2 Let i(o) be the first derivative of 2*o**3/3 - 71. Let j(a) = -18*a**2 + 2. Calculate j(i(c)). -72*c**4 + 2 Suppose -202*d + 208*d - 12 = 0. Let k(y) = -5*y**d + 109*y - 109*y. Let f(v) be the third derivative of -v**4/6 - v**2. Give f(k(n)). 20*n**2 Let d(g) = -2*g**2. Let x(z) = z**3 - 7*z**2 + 2. Suppose -3*i = 2*i - 35. Let y be x(i). Let u(r) = 0*r**2 - r**2 + 7*r**2 - 2*r**y. Give u(d(l)). 16*l**4 Let l(q) = 4*q. Let u(i) = 812*i**2 + i - 1. Calculate l(u(p)). 3248*p**2 + 4*p - 4 Let f be (-4*1/(-2))/((-14)/(-448)). Let t(n) = 24*n + 64 - f. Let z(b) = -b. Calculate z(t(r)). -24*r Suppose 0 = j - 6*j + 10. Let a(z) = -2*z - z**j + 2*z. Let m(f) be the second derivative of f**4/12 - 1856*f. Calculate a(m(x)). -x**4 Suppose 5*f - 5*s = -5, 5*f + 4*s + 0*s = 22. Let o(u) = 1 - 1 + 3*u**f. Let h(n) = 115*n - 228*n + 112*n. Determine o(h(r)). 3*r**2 Let q(f) = -5*f**2. Let z(i) = -6*i + 158. What is q(z(s))? -180*s**2 + 9480*s - 124820 Let k(w) = -5*w**2. Let v(j) be the second derivative of 5*j**3/2 + j**2/2 + 6*j. Determine k(v(y)). -1125*y**2 - 150*y - 5 Let s(u) = 18*u**2. Let p(n) = 1020*n. What is s(p(a))? 18727200*a**2 Let a(n) = -10726*n**2. Let s(i) = 23*i**2. Give s(a(f)). 2646082748*f**4 Let z(f) = 68*f - 74*f - 4 + 8. Let a(j) = -4*j**2. Give z(a(s)). 24*s**2 + 4 Let n(p) = 33*p. Let s(m) be the first derivative of -4*m**3/3 - 22. What is n(s(g))? -132*g**2 Let t(b) be the first derivative of b**2 - 175. Let u = 22 - 0. Let k(s) = u*s - 22*s - 17*s**2. What is k(t(g))? -68*g**2 Let c(b) be the second derivative of 2*b**4/3 - b. Let x(l) = -29*l**2 - 23*l**2 - 22*l**2 - 20*l**2 + 95*l**2. What is c(x(g))? 8*g**4 Let x(w) = 42*w. Let d(q) = 72*q**2. Let o(f) = -7*f**2. Let b(l) = -2*d(l) - 21*o(l). Calculate x(b(k)). 126*k**2 Let s(h) = -13*h**2 + 9*h. Let x(v) = -3*v**2 + 2*v. Let d(p) = -2*s(p) + 9*x(p). Let u(w) = -8*w - 6*w - 2*w + 8*w. What is u(d(t))? 8*t**2 Let c(h) = -12*h**2. Suppose 2*k = -3*k - 0*k. Let u(q) = 4*q + k*q - 5*q - q. What is c(u(g))? -48*g**2 Let b(j) = -193*j + 294. Let w(r) = -2*r. Calculate b(w(q)). 386*q + 294 Let l(f) = -29*f**2 + 9*f + 3. Let s(n) = -30*n**2 + 6*n + 2. Let i(w) = -2*l(w) + 3*s(w). Let o(v) = 2*v**2. What is i(o(m))? -128*m**4 Let i(v) = -8*v**2. Let q(u) = 1217*u + 5. Calculate i(q(o)). -11848712*o**2 - 97360*o - 200 Let d(w) = 2*w**2. Let r(o) = -364609*o**2. Give d(r(u)). 265879445762*u**4 Let c(d) = -240 + 6*d**2 + 240. Let a(u) be the third derivative of u**5/30 - 6*u**2. Calculate a(c(r)). 72*r**4 Let m(r) be the third derivative of -7*r**4/24 - 4*r**2 - 6. Let j(z) = -2*z. Determine m(j(w)). 14*w Let n(w) be the first derivative of 2*w**3 - 173. Let m(q) = 5*q. Give n(m(f)). 150*f**2 Let r(q) be the third derivative of -q**5/60 + q**2. Let a(i) be the first derivative of 4 + 0 - 4*i - i**3 + 4*i. Determine r(a(s)). -9*s**4 Let s(l) = -l. Let k(j) = 5*j**2 - 6*j**2 + 0 - 9 + 6*j**2. Give k(s(c)). 5*c**2 - 9 Let v(o) be the first derivative of -25*o**3/3 - 3. Let m(k) = 9*k. Determine m(v(j)). -225*j**2 Let u(h) = -267*h. Let v(j) = -81*j + 14. What is v(u(o))? 21627*o + 14 Let z(d) = -4*d**2. Let p(g) be the first derivative of -g**4/12 - 12*g + 8. Let q(t) be the first derivative of p(t). Calculate z(q(v)). -4*v**4 Let x(g) = 5*g**2. Let t(q) = -9255*q. Calculate x(t(w)). 428275125*w**2 Let i(u) = -8*u. Let r be (-2)/11 + (-64)/11. Let q be r/15 - (-4)/10. Let t(d) = 6*d + q*d - 4*d - 4*d. Determine t(i(n)). 16*n Let i(q) = -22*q - 21*q - 31*q. Let n(y) = 2*y**2. Calculate n(i(x)). 10952*x**2 Let b(t) be the first derivative of -19*t**3/3 + 29. Let u(k) = 4*k. Calculate u(b(p)). -76*p**2 Let d(l) = 44*l. Let z(u) = -1520*u - 3. Determine z(d(h)). -66880*h - 3 Let g(w) = 2638*w**2 + 2*w. Let c(h) = -3*h. What is g(c(t))? 23742*t**2 - 6*t Let b(v) = 10107*v - 2. Let q(c) = 3*c**2. Calculate q(b(l)). 306454347*l**2 - 121284*l + 12 Let b(n) = -2*n**2 + 10*n. Let j(q) = 2*q. Let y(h) = 2*b(h) - 22*j(h). Let l(g) = 4*g. Determine l(y(a)). -16*a**2 - 96*a Let b(a) = 0*a**2 + a**2 - 5*a**2. Let m(l) = -2*l**2 + 0*l**2 + 3*l**2 + 4*l**2. Give m(b(w)). 80*w**4 Let i(q) = -8*q. Let p(f) = 7*f. Let d(t) = 5*i(t) + 6*p(t). Let a(g) = 7*g**2 + 4. Let j(b) = 6*b**2 + 3. Let m(z) = -3*a(z) + 4*j(z). Give m(d(s)). 12*s**2 Let u(x) = 14*x + x**2 - 14*x + x**2. Let w(f) = -12*f**2 + 62*f - 62*f. What is w(u(r))? -48*r**4 Let y(w) = 26*w - 737. Let j(i) = 8*i. What is y(j(z))? 208*z - 737 Let t(f) = 163*f + 2. Let w(j) = 10 - 7*j + 7*j - j**2 - 10. Determine w(t(m)). -26569*m**2 - 652*m - 4 Let m(w) = -5*w. Let z(k) = -68*k**2 - 59*k**2 + 346*k**2 - 101*k**2. Give m(z(q)). -590*q**2 Let a(u) = 7*u - 3. Let w(t) = -2*t + 2619. What is w(a(p))? -14*p + 2625 Let o(g) = -16*g. Let n(c) = -15352*c. Give n(o(y)). 245632*y Let u(k) = 2*k**2 - 1593881. Let g(p) = -p. Give g(u(f)). -2*f**2 + 1593881 Let z(q) = q + 2. Let u(v) = v - 3. Let g be u(7). Let k(r) = -5 - 7 + 4 - 4*r - 1. Let d(b) = g*k(b) + 18*z(b). Let y(j) = 2*j**2. Calculate d(y(l)). 4*l**2 Let h = -31 - -19. Let z be ((-3)/h*0)/(-1). Let y(p) = p + p - p + z. Let s(n) = 4*n. What is y(s(w))? 4*w Let d(o) = -o + 7. Let y(z) = 6*z. Let q(h) = d(h) + y(h). Let p(r
{ "pile_set_name": "DM Mathematics" }
.4, -13/2. -60, -10.4, -13/2 Sort 2, 5, 909, -809 in ascending order. -809, 2, 5, 909 Sort 18, 1, -2, 3, 10 in descending order. 18, 10, 3, 1, -2 Put -11834, 5, 2, -5, 1 in decreasing order. 5, 2, 1, -5, -11834 Sort 5, 16, 0, -11, 24 in decreasing order. 24, 16, 5, 0, -11 Sort -5, 0.5, -0.02, -0.06, 77 in ascending order. -5, -0.06, -0.02, 0.5, 77 Sort 2, 3, 53, -1/3, 0.278. -1/3, 0.278, 2, 3, 53 Put 7664, -5, 5 in decreasing order. 7664, 5, -5 Sort -4, 0, 63, -25, 4 in ascending order. -25, -4, 0, 4, 63 Sort -742, 4, 8 in descending order. 8, 4, -742 Sort 1/4, -3, -2/19, 3, 318, -4/9 in decreasing order. 318, 3, 1/4, -2/19, -4/9, -3 Put -1, -223, 413 in ascending order. -223, -1, 413 Put 17, 0, -6, -8, 4 in decreasing order. 17, 4, 0, -6, -8 Sort -2.6, -4, -3/41, 1/74 in decreasing order. 1/74, -3/41, -2.6, -4 Put -2, -1, -8, 4, 3, 16 in decreasing order. 16, 4, 3, -1, -2, -8 Put 2, 23, 20, -33 in decreasing order. 23, 20, 2, -33 Put -5, 0, -4157 in descending order. 0, -5, -4157 Put -157, 210, -5 in increasing order. -157, -5, 210 Sort -30, -3, -74, 4, -1 in increasing order. -74, -30, -3, -1, 4 Put -1, 1703, 0.3, 8 in descending order. 1703, 8, 0.3, -1 Sort -3, -0.05, 313, -5, 12, -1/3 in ascending order. -5, -3, -1/3, -0.05, 12, 313 Sort 11, -1, -11.2 in descending order. 11, -1, -11.2 Put -2086, -1, 1, -3, -5 in decreasing order. 1, -1, -3, -5, -2086 Sort 1, 27, -0.5, -288 in ascending order. -288, -0.5, 1, 27 Put 96/7, 0.11, 3, 0.2 in ascending order. 0.11, 0.2, 3, 96/7 Sort 0, -5, -550, 106 in ascending order. -550, -5, 0, 106 Sort -546, 1, 5, -4. -546, -4, 1, 5 Sort -3.4, 2, -250, -0.07 in descending order. 2, -0.07, -3.4, -250 Sort 55, 25, -3, 1. -3, 1, 25, 55 Put 2/7, 4, 495, 2/5, -0.3 in ascending order. -0.3, 2/7, 2/5, 4, 495 Put -0.1, -1, -6, 13.1 in decreasing order. 13.1, -0.1, -1, -6 Sort 2/5, -0.22, -181 in descending order. 2/5, -0.22, -181 Put -1, -88, 5, 4 in decreasing order. 5, 4, -1, -88 Put 4, 0.1, 3/59, -6/5, 0.2 in decreasing order. 4, 0.2, 0.1, 3/59, -6/5 Put 1624, -5, 5, -27 in descending order. 1624, 5, -5, -27 Put 4, 1, 32, -51, 5, -2 in descending order. 32, 5, 4, 1, -2, -51 Put -3, 2, 22, 1, -188 in ascending order. -188, -3, 1, 2, 22 Put -43, 5485, -2 in ascending order. -43, -2, 5485 Sort -1, 5, -33, -10, -2 in decreasing order. 5, -1, -2, -10, -33 Sort -2, 0, -21, 5, -5, 8 in increasing order. -21, -5, -2, 0, 5, 8 Sort -133, -0.2, -0.3, 10 in ascending order. -133, -0.3, -0.2, 10 Sort 15, 185, -67 in decreasing order. 185, 15, -67 Put 2, 3, 0.5, -1254567 in ascending order. -1254567, 0.5, 2, 3 Sort -4, 2, -2/9, 210.3 in decreasing order. 210.3, 2, -2/9, -4 Put -5, -31/4, -6/13 in ascending order. -31/4, -5, -6/13 Sort 1, 229, 34, 2, 5 in decreasing order. 229, 34, 5, 2, 1 Sort 2, -4, -3, -2/11, -19/11 in decreasing order. 2, -2/11, -19/11, -3, -4 Sort 16, -7, -3, -4 in descending order. 16, -3, -4, -7 Put 0, -2, 3, 816 in ascending order. -2, 0, 3, 816 Sort -140, 28, 0.4, 5. -140, 0.4, 5, 28 Sort -3, 4, 0.12, 0.2, 0.178, -3/8. -3, -3/8, 0.12, 0.178, 0.2, 4 Put -7, 197, 4 in descending order. 197, 4, -7 Put -4, -8, -2/3, -22.3 in decreasing order. -2/3, -4, -8, -22.3 Sort -3, 41, -4/5, 0.4, 0.037. -3, -4/5, 0.037, 0.4, 41 Sort -4, 114, -5, 3 in increasing order. -5, -4, 3, 114 Sort 7, 1530, -14. -14, 7, 1530 Put 3, 2, 197933 in ascending order. 2, 3, 197933 Sort 2/2793, 2/11, -2/39 in increasing order. -2/39, 2/2793, 2/11 Put -93, 3, -2, -4, 2, -23 in descending order. 3, 2, -2, -4, -23, -93 Put 9, 0.3, 3, 7, -0.5 in increasing order. -0.5, 0.3, 3, 7, 9 Sort 293, -2, -2/375, -3 in ascending order. -3, -2, -2/375, 293 Put -7, -12, -0.51 in increasing order. -12, -7, -0.51 Sort -1634, -5, -2, -1, 16 in descending order. 16, -1, -2, -5, -1634 Put 1/12, 1/41, 18, 0.5 in decreasing order. 18, 0.5, 1/12, 1/41 Put -8/17, -4, 0.04, 0.2 in decreasing order. 0.2, 0.04, -8/17, -4 Put -2/7, 5, -0.1, 2/137, 4 in ascending order. -2/7, -0.1, 2/137, 4, 5 Sort 0.1, -29, 0, -1/9, -0.15, 1/7 in descending order. 1/7, 0.1, 0, -1/9, -0.15, -29 Sort 20, -201, -5. -201, -5, 20 Sort -6, -0.02, 3, 0.272, 0 in increasing order. -6, -0.02, 0, 0.272, 3 Sort 4, 5, 7494, -9, 0, 3 in descending order. 7494, 5, 4, 3, 0, -9 Put -0.5, 25, 4, 1026 in descending order. 1026, 25, 4, -0.5 Sort 0.5, -2, 2, -1, 3, 3403 in descending order. 3403, 3, 2, 0.5, -1, -2 Sort -3589, -1, -7 in descending order. -1, -7, -3589 Sort -3, -5, 90, -99, -4 in descending order. 90, -3, -4, -5, -99 Sort 3, 560, 6, -4. -4, 3, 6, 560 Sort -1, 3, 0, 1, 151463. -1, 0, 1, 3, 151463 Put -1694, 1/7, 0.1, -1.1 in increasing order. -1694, -1.1, 0.1, 1/7 Sort 16, -1/5, -1/20, 0.134, 2, -5 in descending order. 16, 2, 0.134, -1/20, -1/5, -5 Sort -3, 29, -15, -2 in decreasing order. 29, -2, -3, -15 Sort -108, -1.73, 4, 2. -108, -1.73, 2, 4 Sort 0, 0.4113, -1, -19 in descending order. 0.4113, 0, -1, -19 Sort -3, 1/4, 1/5, -5.5, -1/7, -2. -5.5, -3, -2, -1/7, 1/5, 1/4 Put 4, -4, -2943 in ascending order. -2943, -4, 4 Sort -1/2, 2, 0.3, 1, -3/5, -0.022 in increasing order. -3/5, -1/2, -0.022, 0.3, 1, 2 Put 5, -6, 1251 in decreasing order. 1251, 5, -6 Sort 271, -298, 0.2, 5 in descending order. 271, 5, 0.2, -298 Sort -1431, -3, -7. -1431, -7, -3 Put 38, -5, 1748 in decreasing order. 1748, 38, -5 Sort 1721, -36, -1, 1, -4. -36, -4, -1, 1, 1721 Put -4, 78, -0.1, 0.046 in descending order. 78, 0.046, -0.1, -4 Sort -4773, -71, 5, -1 in ascending order. -4773, -71, -1, 5 Put -19, 0, 3/4, -29 in descending order. 3/4, 0, -19, -29 Sort -945, 6, 2, -5, -3, 5 in descending order. 6, 5, 2, -3, -5, -945 Sort 0.1, -1, -12368 in decreasing order. 0.1, -1, -12368 Put -4/3, -4, 5, 0, -46/7 in decreasing order. 5, 0, -4/3, -4, -46/7 Sort -18, -2, 2, -4, -30283, 4 in descending order. 4, 2, -2, -4, -18, -30283 Put -290, -24, -1 in decreasing order. -1, -24, -290 Put 0, -5/3, 21, -2, 5/11 in descending order. 21, 5/11, 0, -5/3, -2 Sort -0.2, -24/7, 23.83. -24/7, -0.2, 23.83 Put -136, 3, -5, 27 in descending order. 27, 3, -5, -136 Sort -25.9, -2/3, -4.318 in increasing order. -25.9, -4.318, -2/3 Sort -1084, 1, 3/8, -1, 5 in descending order. 5, 1, 3/8, -1, -1084 Put 0.4, -225.43, -2 in ascending order. -225.43, -2, 0.4 Put 108, 4, -4, -3, -1 in descending order. 108, 4, -1, -3, -4 Sort 3, -3, 624, -13 in increasing order. -13, -3, 3, 624 Sort 4, 3675, 0. 0, 4, 3675 Sort -0.5, -0.06, 6658, -0.1. -0.5, -0.1, -0.06, 6658 Sort 39, -24.8, 16 in decreasing order. 39, 16, -24.8 Put -114588, -0.2, 0.5 in descending order. 0.5, -0.2, -114588 Put 25907, 3, -4 in increasing order. -4, 3, 25907 Sort 0.2, -2, 5.27, -10, 1/4, -0.3 in descending order. 5.27, 1/4, 0.2, -0.3, -2, -10 Put 52, -1, 8, 6 in descending order. 52, 8, 6, -1 Put 79, 1.24, -0.1, -3/14 in ascending order. -3/14, -0.1, 1.24, 79 Sort -4, 76, 8, 4 in increasing order. -4, 4, 8, 76 Put -5, 0, -2, 15, -4 in ascending order. -5, -4, -2, 0, 15 Sort -98, -2, 251, 0 in descending order. 251, 0, -2, -98 Put -1, 3, -4, 48, 1 in descending order. 48, 3, 1, -1, -4 Sort -25, -1/4, 4/3 in descending order. 4/3, -1/4, -25 Put -4, -3, -0.01, -0.001, 0.3, -6 in increasing order. -6, -4, -3, -0.01, -0.001, 0.3 Put 5500, -4, 3, 147 in decreasing order. 5500, 147, 3, -4 Put 3, -3, 818, 1 in descending order. 818, 3, 1, -3 Put 211, 0, 3, -9, 4 in descending order. 211, 4, 3, 0, -9 Put -3, 3, 14, 6, 0 in descending order. 14, 6, 3, 0, -3 Put -10, 5, 3, -13, -1 in descending order. 5, 3, -1, -10, -13 Put 0, 2/7, -5, 1, 32/9, -11 in increasing order. -11, -5, 0, 2/7, 1, 32/9 Put -22, 0.1, 4, -0.2, 0.2, -4 in descending order. 4, 0.2, 0.1, -0.2, -4, -22 Sort -5, 0.017, 4072, 0 in ascending order. -5, 0, 0.017, 4072 Sort -5, 9.9, -4, 5, 6.2. -5, -4, 5, 6.2, 9.9 Put -2, 64, 2, 0.4 in increasing order. -2, 0.4, 2, 64 Put 1, -4, -5, -13, 11, 72 in increasing order. -13, -5, -4, 1, 11, 72 Put 1, 0.4, -2.17179, -1/2, -0.1 in descending order. 1, 0.4, -0.1, -1/2, -2.17179 Put -0.3, -23, 494, -1/2, 5 in ascending order. -23, -1/2, -0.3, 5, 494 Put -354, -4, 8 in increasing order. -354, -4, 8 Sort -3, -0.155, -0.4, 5 in decreasing order. 5, -0.155, -0.4, -3 Sort -16, -8, -17, 2, 0, -3 in descending order. 2, 0, -3, -8, -16, -17 Sort 0.214, -2/3, -0.01, 0.1, -1 in increasing
{ "pile_set_name": "DM Mathematics" }
et r = 24 + -25. Which is the nearest to 0? (a) r (b) 6 (c) y a Let x(l) = -l**3 - 5*l**2 + 4*l - 5. Let s be x(-6). Let z = -2688 - -2679. Let t = s + z. Which is the closest to -0.1? (a) t (b) -0.4 (c) 4 b Let d = 0.5 + -0.5. Let s = 0.41 - 0.01. Let y = -0.359 - -0.059. What is the closest to y in 4, s, d? d Let g = -50 + 19. Let d = g + 26. What is the closest to 2 in -0.2, -1/2, d? -0.2 Let l = -250 + 249.9. What is the closest to 0.3 in l, -0.01, -2/3? -0.01 Let r = -1.88 - -3.88. Let o = -74 - -74. Let t = 0.43 - 0.03. Which is the closest to -1/4? (a) t (b) o (c) r b Let d = -1127/30 + 192/5. Which is the closest to -1/2? (a) -3 (b) d (c) -1/2 c Let l be 40/4 - (-144)/(-15). What is the nearest to l in 0.59, 1/5, -0.2? 0.59 Let i(x) = 2*x - 20. Let k(f) = 1. Let c(v) = i(v) - 2*k(v). Let h be c(13). Let w = -3.2 + 2.8. What is the closest to -1 in h, w, -2? w Let n = -11/9 - -13/18. What is the closest to 20 in -1, 0.4, n? 0.4 Let r = -1.6 - -27.2. Let v = r - 25.6. Let k = -1 + 2. What is the nearest to 0.1 in v, k, -2/11? v Let u = -1 - -1.5. Let l = -66 + 34. Let s = 28 + l. What is the nearest to 2/11 in u, s, 2? u Let f be (42/(-105))/(1/(-30)). Let j = -11 + f. Which is the nearest to 0.1? (a) -3 (b) 1/9 (c) j b Let v = -79 - -79. Let a = 2.15 - -0.35. What is the closest to v in 4, 0.2, a? 0.2 Let r = -30.4 + 30.3. What is the nearest to -0.1 in -5, r, 4? r Suppose 0 = 4*g - i + 17, -2*g + 0*i - i = 7. Let q be (0 - (0 + 0))/(-2). What is the closest to q in -0.5, g, -2? -0.5 Let p = 6985 - 6980. Let i = 3 + 1. Let o be 6/(-28)*4/(-3). What is the nearest to o in p, i, 0.3? 0.3 Let w = 220 - 225. What is the closest to -3 in 11, 1, w? w Let u be (3 + 52/(-14))*(-16)/(-40). Let y = 3283/3120 - 86/65. Let n = 1/16 - y. Which is the nearest to n? (a) -1/3 (b) u (c) -1 b Let h(w) = -w**3 - 10*w**2 - 23*w + 2. Let s be h(-8). Let f = -53 + s. What is the nearest to f in -1, -3, -0.4? -0.4 Let t = 858/7 + -122. Let m = 35 - 37. Which is the closest to m? (a) t (b) 4 (c) -5 a Let r = 0.557 - 0.087. Let j = 0.53 + r. What is the closest to -1 in 4, -1, j? -1 Suppose -1 = t, f = -3*t + t - 5. Let r be 1*3/(-60) - f/(-4). What is the closest to r in -4, 5, 1? 1 Let x be ((-16)/32)/(5 + 3). Which is the nearest to 0.2? (a) -0.1 (b) x (c) -0.4 (d) 2 b Let t = -65/2 - -33. Let h = 7.1 - 11.1. Which is the nearest to 0.2? (a) t (b) h (c) 4 a Let n = 50 + -101/2. Let o = -11 - -12. What is the closest to o in 0.4, n, -0.4? 0.4 Suppose 4*r + 9*y - 42 = 4*y, -3*r + y = -41. Suppose -27 = w - 3*w + 5*l, -w + r = -2*l. Let q = -8 + w. Which is the closest to 0? (a) 2/5 (b) q (c) 6/5 a Let i = 0.88 - 0.98. Let b = 1 + -1.1. Let k = b + -1.9. What is the closest to i in -5, k, -1/4? -1/4 Let n = -4.9491 + -0.0509. Which is the nearest to 2? (a) n (b) -2/3 (c) -2 (d) -0.2 d Let x = -0.109 + 61.109. Let i = x - 56. Let f = 3 + -4. What is the nearest to f in i, -5, -1? -1 Let i = -39 + 75/2. Suppose 0 = -4*m + 4*h - 248, -2*m - 96 + 7 = 5*h. Let s = m + 287/5. Which is the nearest to s? (a) 5 (b) 8 (c) i c Let h = 1/220 - 447/1540. Which is the nearest to 1? (a) -1 (b) -894 (c) h c Let t be (1/(-30)*-18)/(-1). Which is the nearest to -652? (a) 3 (b) 0.1 (c) t c Let u = 6.18 - 5.88. Which is the nearest to 1? (a) 3 (b) -3 (c) -1/6 (d) u d Let q = 2.61 + -2.61. Which is the nearest to q? (a) -0.4 (b) 0.095 (c) 1/12 c Let w = 5.01 + -5.06. Which is the nearest to 0.1? (a) 5 (b) w (c) 0.1 c Let x = -86 - -84. Let d be (14/(-21))/(x + 6). Let h = 3.1 - 3. Which is the nearest to h? (a) 0.4 (b) 4 (c) d c Let n = 19 - 4. Let y(s) = -4*s**2 - 33*s + 32. Let r be y(-9). Which is the closest to 0? (a) n (b) 0 (c) r b Let p = 76.9 - 77. Let g(k) = -k + 5. Let m be g(7). What is the closest to p in m, -0.2, 20? -0.2 Suppose 8*q = 3*q + 15. Let p = 47.65 - 55. Let y = -0.35 - p. Which is the nearest to y? (a) q (b) -1 (c) 4 c Suppose 14*d - 18 = 8*d. Let t = 0.2 - 0.5. Let l = 0.2 - t. What is the closest to 1 in d, -3, l? l Let t be 8/68 + (-2664)/102. Let j be -1 - 70/(-52) - 4/t. What is the closest to 4 in j, -0.2, -1/3? j Let w = 18.15 - 18. Let r = -0.85 - w. Let o = 27 - 79/3. Which is the nearest to r? (a) o (b) 1 (c) -1 c Let p = -0.41 + 10.41. Which is the nearest to 2? (a) 5 (b) p (c) 1/2 c Suppose 5*z + 3*g - 7 = 0, -4*z + 3*g - 12 = g. Let i = 1442 - 15860/11. Which is the closest to z? (a) 2/7 (b) i (c) 0 c Let v = 1.722 + 0.278. Which is the closest to 5? (a) v (b) -0.3 (c) -0.06 a Let f = 2/1509 - 4535/6036. Let d = 0.26 - 0.2. Which is the closest to -1? (a) f (b) d (c) -1/7 a Let y be ((-94)/188)/(-1 - (-10)/12). What is the nearest to y in 2/21, 0, -3? 2/21 Suppose -70 = -2*f - 6. Let g be (4/f)/(5/(-30)). Which is the closest to 0.1? (a) 3/7 (b) -2/3 (c) g a Let r(d) = d**2 - 10*d + 4. Let n be r(10). Suppose z = n, -124 - 16 = -3*u + z. Let s be u/10 - 12/(-60). What is the closest to -1/2 in 4, s, -4? -4 Let g = -0.1 - -0.6. Let x(r) = 26*r**2 - 66*r - 35. Let n be x(3). Which is the closest to -2? (a) g (b) -0.1 (c) n b Let c = -1.7 + 2. Let w be 18/(-15)*6/(-9). Let s = -0.1118 + -0.1882. What is the nearest to -1/2 in w, c, s? s Let c = -5 - -8. Let r = 13.52 - 13.52. Let u = 1.2 + 3.8. What is the nearest to r in c, 1, u? 1 Let a = -35.8 + 40.8. Let k = -146 - -1024/7. Let w = 0.04 + 1.96. What is the nearest to k in a, w, 0.1? 0.1 Let f = -0.3 - -0.4. Suppose 2*n - v = 4 + 3, n = v + 6. Let p = -0.025 + 0.025. Which is the closest to n? (a) p (b) f (c) -0.2 b Let t = 173 - 171. Let h = 1717204/19165 - 4/3833. Let u = 90 - h. What is the nearest to u in 5, 2/23, t? 2/23 Let m = 177 - 177.1. Let n = 113/371 + -1/53. What is the nearest to 8 in n, 2, m? 2 Let z = -0.4 + 0.4. Let k = -6.43 + 6.53. Which is the nearest to k? (a) 7 (b) -1/2 (c) z c Let n = 566.5 - 567. What is the nearest to -0.1 in n, -4, -0.3? -0.3 Let y = 2.5 + -3. Let o = 0.58 + -3.58. Let p = 11 - 7. Which is the nearest to 0.1? (a) y (b) p (c) o a Let q = 0.99 + 0.01. Let t = -2 - q. Let j = 0.45 - 0.25. What is the nearest to j in -3/4, -4, t? -3/4 Let z = -4531/5 + 909. Let i = -1834 + 1837. What is the closest to 1 in z, i, 2/7? 2/7 Let f = -1310 - -1310.5. Which is the nearest to 0? (a) 0.3 (b) f (c) -0.04 (d) 1 c Let l = -224/1111 - -2/101. Which is the closest to 0? (a) l (b) -3 (c) -9/7 a Let m = -32 + -14. Let x = -42 - m. Which is the closest to 4? (a) 0.1 (b) 6 (c) x c Suppose -8 = -w + 2*r, 0 = -8*w + 3*w + r - 5. Let s(n) = n**2 + 5*n + 1. Let p be s(-4). Which is the closest to -2? (a) p (b) w (c) 2 b Let t = 0.04 + 0.26. Let f = t - 0.6. Let j be (6/(-5))/(36/(-120)) + -8. Which is the closest to -4? (a) j (b) 4 (c) f a Let h be 8/28 - (-24)/(-182). Let p = 25/78 - h. Let l be (-3)/(-2*20/8). Which is the nearest to -2/7? (a) l (b) p (c) 0.2 b Let w be 20/75*6/8. Which is the nearest to 2/43? (a) -5 (b) -1/2 (c) w c Suppose 0 = -3*t + 2*y - 9, -3*y + 11 = 2. Which is the nearest to 0.2? (a) -19 (b) 2/7 (c) t b Suppose 3*i + 3*m - 27 = 0, 23*i - 2*m = 18*i + 17. Let w = 14 + -4. Let x be 2/w + 3/60. Which is the nearest to x? (a) -0.3 (b) -1/2 (c) i a Suppose 2*i + 125 - 85 = 0. Let j = -4.1 - -4.4. Which is the closest to 1/2? (a) j (b) i (c) -0.5 a Let h = -2/3375 + 178879/6750. Let s = h - 269/10. Which is the closest to s? (a) -0.5 (b) 5 (c) 4 a Let s = 19 + 9. Let q = s + -32. What is the nearest to -0.1 in 3/7, 4, q? 3/7 Let b be 6/27*11/(11/(-2)). What is the closest to 0 in -0.1, 9, b, -0.2? -0.1 Let y be (-1)/2*(0 + -10). Suppose 2 = 4*z - 6*z, -5*j + 2 = 3*z. Let l be j*y*(0 + -1). Which is the nearest to -2/5? (a) -4 (b) -1/7 (c) l b Let j(u) = -u - 2. Let g be j(-7). Suppose -g - 1 = -2*d. Suppose 3*m - 6*m = d. Which is the nearest to m? (a) 2 (b) 0 (c) 4 b Let h = 101.75 + 0.25. Let y = -106 + h. What is the closest to 0.1 in -3/4, 1, y? -3/4 Let l = -16 + 18. Let p = 0 - -0.2. Let f = -0.19 - 1.81. Which is the closest to l? (a) p (b) f (c) -2/5 a Let a be (3 + -6)*-2 + 2. Let n be ((-6)/a)/(12/8)*1. What is the closest to n in 0.5, 0.05, 0? 0 Let n = 72 + -68. Which is the closest to 0.1? (a) n (b) -0.
{ "pile_set_name": "DM Mathematics" }
= -4*k(u) + 3*p(u). Give m(i) + r(i). -i + 1 Let b(h) = -1. Let v(w) = 4*w - 20. Suppose 5*a - 2*s - 5 = -s, 0 = 2*a - 3*s + 11. Suppose k - 82 = 4*g, 2*g - 5*g - a*k = 56. Determine g*b(f) + v(f). 4*f Let a(u) = -u - 1. Let v be 52/117 - 30/(-54). Let x(f) = 3*f - 14. Give v*x(z) + 5*a(z). -2*z - 19 Let q(g) = -10*g**2 - 2*g + 2. Suppose -201 + 48 = -202*r + 219*r. Let h(n) = -41*n**2 - 7*n + 9. Give r*q(k) + 2*h(k). 8*k**2 + 4*k Let m(y) = 2*y + 1. Let b(i) = 9*i + 428. What is b(g) - 4*m(g)? g + 424 Let z(r) = 15*r - 6. Suppose -164*x = -97*x + 6097. Let h(j) = -224*j + 91. Calculate x*z(g) - 6*h(g). -21*g Let m(t) = 113*t**2 - 97*t + 6. Let w(k) = -170*k**2 + 136*k - 9. Determine -7*m(d) - 5*w(d). 59*d**2 - d + 3 Let d(v) = v**2 + v - 6. Let a be (-3)/(-9) - (-4468)/(-12). Let f = 540 + a. Let y(n) = -f + 0*n + 167 + n. Determine -d(b) + 3*y(b). -b**2 + 2*b + 3 Let m(f) = -35*f + 9726. Let z(u) = -13*u + 3243. Give -3*m(y) + 8*z(y). y - 3234 Let f(y) = -16*y - 396. Let u(l) = -5*l - 128. What is -4*f(k) + 14*u(k)? -6*k - 208 Let b(z) = 15476*z + 10. Let s(u) = -23214*u - 14. Determine -7*b(r) - 5*s(r). 7738*r Let q(h) = 1733886*h. Let x(i) = -17167*i. Give 16*q(s) + 1617*x(s). -16863*s Let w(j) = 5*j**3 + 3*j**2 - 3*j + 2. Let z(a) = -6*a**3 - 4*a**2 + 4*a - 3. Let i = -4994 + 4991. What is i*z(s) - 4*w(s)? -2*s**3 + 1 Let d(a) be the first derivative of 3*a**3 - 6*a**2 + 4*a + 1468. Let o(r) = -8*r**2 + 11*r - 3. Calculate -4*d(j) - 5*o(j). 4*j**2 - 7*j - 1 Let w(f) be the first derivative of f**2 - 5*f + 2150. Let y(o) be the second derivative of -o**3/6 + o**2 - 2*o. Calculate 2*w(z) + 5*y(z). -z Let r(x) = 17*x**3 - 6*x**2 - 6*x - 6. Let o(q) = q**2 + q + 1. Let d be 2 - 28/35 - 144/20. Give d*o(t) - r(t). -17*t**3 Let x(c) = c**2 - 8*c + 1. Let f(v) = -2*v**3 + 3*v**2 - 682*v + 4. Calculate f(m) - 6*x(m). -2*m**3 - 3*m**2 - 634*m - 2 Let p(d) = -65*d**2 - 62*d - 2. Let g(l) = -326*l**2 - 342*l - 11. Calculate -2*g(v) + 11*p(v). -63*v**2 + 2*v Let z(g) = 49*g**2 - 46*g - 8. Let u(l) = 49*l**2 - 35*l - 7. Give 5*u(k) - 4*z(k). 49*k**2 + 9*k - 3 Let w(t) = 2*t + 2. Let r(h) = -2136 + 2138 + 231*h - 229*h. Give -3*r(d) + 4*w(d). 2*d + 2 Let q(w) be the first derivative of 8*w**2 + 7*w + 91. Let v(f) = 11*f + 5. Let r be ((1 - 2) + 0)/(13/(-91)). Give r*v(g) - 5*q(g). -3*g Let r(q) be the first derivative of -17*q**2/2 - 370. Let v(n) = 1581*n. Determine 187*r(k) + 2*v(k). -17*k Let h(o) = -2*o - 5*o**3 + 4*o**3 + 2*o**3 + 2. Suppose 0 = 2*r + r - 6. Let i(z) = 2*z - 4*z**3 - 6233970 + 6233963 + 4*z. Calculate r*i(s) + 7*h(s). -s**3 - 2*s Let q(f) = -2*f**3 - 18*f + 3. Let b(l) = 3*l**3 + 17*l - 4. Let v be (-5 + (4 - 1))*(-51)/(-34). Calculate v*b(c) - 4*q(c). -c**3 + 21*c Let z(j) = -4*j**2 - 9*j. Let y(q) = -q. Let p(x) = x**2 + 16*x + 54. Let u be p(-4). Suppose -2*k - 42 + u = 0. What is k*y(a) + 2*z(a)? -8*a**2 Let j(i) = 17*i**3 + 34*i**2 + 10*i - 1. Let n(z) = -13*z**3 - 35*z**2 - 14*z + 2. Determine 4*j(p) + 3*n(p). 29*p**3 + 31*p**2 - 2*p + 2 Let s(t) be the third derivative of -1313*t**5/60 - 65*t**4/24 - 65*t**3/6 - 418*t**2. Let z(v) = -41*v**2 - 2*v - 2. What is 2*s(j) - 65*z(j)? 39*j**2 Let a(k) = 7*k**3 + 18*k**2 + 58*k - 16. Let c(m) = -6*m**3 - 13*m**2 - 57*m + 12. Give -3*a(t) - 4*c(t). 3*t**3 - 2*t**2 + 54*t Let x(o) = 6*o + 8. Let g(t) = 5 - t + t + 4*t. Let d be (204/(-2142))/((-6)/(-28)) - (280/18 - 8). Calculate d*g(s) + 5*x(s). -2*s Let t(u) = -u. Let o(l) = -4*l + 2*l + 5*l + 2*l. Let i(j) = j**2 - 5*j + 38. Let w be i(8). Suppose 14*c + w = -106. Determine c*t(v) - 3*o(v). -3*v Let h(o) = -o**3 - o**2 - 1. Let n(a) = 6*a**3 - 4*a + 4*a**2 + 2*a + 4 - a. Let u = -2648 + 2647. Determine u*n(l) - 4*h(l). -2*l**3 + 3*l Let s(f) = 73*f**2 - 34*f - 7. Let w(n) = -72*n**2 + 29*n + 6. Determine -6*s(k) - 7*w(k). 66*k**2 + k Let u(y) = -164*y**2 + 27*y + 15. Let i(j) = 41*j**2 - 6*j - 4. Calculate 9*i(k) + 2*u(k). 41*k**2 - 6 Let c(l) = -l**2 - l - 1. Let y(k) = -20*k**3 - 3*k**2 - 3*k - 2. Let n be y(-1). Let j(f) = n*f**2 - 4 + 26*f**2 - 48*f**2. Give -2*c(z) + j(z). -2*z**2 + 2*z - 2 Let m(n) be the first derivative of -3*n**2/2 - 25*n - 1075. Let a(c) = -2*c - 24. Determine 4*a(i) - 3*m(i). i - 21 Let c(p) = -2*p**2 - 132*p + 1348. Let k be c(-75). Let x(i) = 1 - 7*i**2 - 2*i - 2*i**3 + i**3 + 6 - 5*i. Let a(z) = z**2 + z - 1. Determine k*x(u) - 14*a(u). 2*u**3 Let q(s) = s - 14. Let g(f) = -2715*f - 85. Determine -g(j) + 6*q(j). 2721*j + 1 Let q be -2*(-2)/(-8) + 729/(-6). Let a = -124 - q. Let p(m) = -3*m + 1. Let r(k) be the first derivative of k**2/2 - k - 1. Calculate a*p(j) - 5*r(j). j + 3 Suppose 3*c = 3*d, -3*d + 5 = -4*c + 2. Let f be (33/(-9))/(1/d). Let x(i) = -2*i**2 - i + 1. Let o(s) = -5*s**2 - 3*s + 2. Determine f*x(q) - 4*o(q). -2*q**2 + q + 3 Let h(f) = -51*f**2 - 17. Let l(a) = 17*a**2 + 6. Let o = 8757 + -8751. Determine o*h(q) + 17*l(q). -17*q**2 Let p(w) = -13*w - 1366. Let b(t) = -6*t - 2. What is 4*b(h) - 2*p(h)? 2*h + 2724 Let f(g) = 8047*g**2 - 45*g - 5. Let m(k) = 4024*k**2 - 27*k - 3. Calculate 3*f(c) - 5*m(c). 4021*c**2 Let c(x) = -26*x**3 - 60*x**2 - 15067. Let g(s) = 11*s**3 + 25*s**2 + 6027. Calculate -5*c(l) - 12*g(l). -2*l**3 + 3011 Let z(p) = 228*p - 71. Let t(k) = 172*k - 71. What is -4*t(l) + 3*z(l)? -4*l + 71 Let o(y) = 4*y + 1223. Let m(w) = -2*w - 614. What is 7*m(a) + 4*o(a)? 2*a + 594 Let j(t) = -1099*t**3 + 2*t + 2. Let p(l) = 8787*l**3 - 17*l - 17. Calculate -51*j(y) - 6*p(y). 3327*y**3 Let t(w) = -47*w**3 + 8*w**2 - 4*w - 4. Let b(n) = 52*n**3 - 5*n**2 + 5*n + 5. Calculate -4*b(p) - 5*t(p). 27*p**3 - 20*p**2 Let k(y) = -296*y**2 - 116*y - 78. Let o(h) = 61*h**2 + 23*h + 15. Give -10*k(i) - 52*o(i). -212*i**2 - 36*i Let h = 345 + -184. Let t = h + -162. Let c(g) = -2*g - 6. Let o(s) = -s - 1. Determine t*c(b) + 3*o(b). -b + 3 Let r = 30883 + -30878. Let i(b) = 8*b + 5. Let n(p) = -9*p - 4. What is r*i(u) + 4*n(u)? 4*u + 9 Let u(o) = 4*o**3 - 1579*o - 22. Let c(v) = -3*v**3 + 1184*v + 16. Give 11*c(f) + 8*u(f). -f**3 + 392*f Let q(i) be the first derivative of i**2/2 - 33*i - 10029. Let j(x) = 4*x - 133. Give 2*j(s) - 9*q(s). -s + 31 Let z(a) be the second derivative of 5*a**3 - 271*a**2/2 - 15*a. Let m be z(9). Let h(j) = -1. Let n(v) = -3*v + 9. Calculate m*n(b) - 9*h(b). 3*b Let s(u) = 13*u**2 - 360*u + 26. Let p(v) = 9*v**2 - 241*v + 18. Determine 7*p(q) - 5*s(q). -2*q**2 + 113*q - 4 Let m(q) = 13*q + 52. Let b be m(-15). Let n = -139 - b. Let x(g) = -16*g - 11. Let j(i) = 3*i + 2. Calculate n*x(a) + 22*j(a). 2*a Suppose 2185 = -n + 3*n - 5*i, -5*i - 5485 = -5*n. Let c(y) = -n*y + 1 - 1100*y + 2202*y. Let f(p) = 6*p + 3. Calculate -11*c(v) + 4*f(v). 2*v + 1 Let k(o) = 93*o**2 + o - 8. Let m(x) = 190*x**2 + 2*x - 13. What is -7*k(z) + 4*m(z)? 109*z**2 + z + 4 Let q(x) = 8*x**2 - 6*x - 16. Suppose -21486*u = -21501*u + 105. Let t(i) = -9*i**2 + 7*i + 17. Calculate u*q(f) + 6*t(f). 2*f**2 - 10 Let x(q) = q**2 - q. Let c(n) = 7*n**3 + 296*n**2 + 83*n - 41. Let p be c(-42). Let b(a) = -20*a**3 + 2*a**2 - 2*a + 1. What is p*b(j) - 2*x(j)? -20*j**3 + 1 Let n(q) = -22*q - 5. Let g(s) = 23*s + 4. Let o(p) = -p**3 - p**2 + 44*p - 8. Let z be o(6). Determine z*n(a) + 5*g(a). 27*a Let f(w) = 4*w**2 - 1. Let z be (-24)/180 - ((-28)/(-15))/1. Let m(p) be the first derivative of -17*p**3/3 + 5*p + 2. Give z*m(h) - 9*f(h). -2*h**2 - 1 Let l(i) = -5*i**2 + 104*i + 15. Let j be l(21). Let p(x) = -2*x**2 - x + 5. Let n(b) = -3*b**2 - b + 6. What is j*p(g) + 5*n(g)? -3*g**2 + g Let w(x) = -24*x - 144. Let a(r) = -16*r - 91. Calculate -8*a(j) + 5*w(j). 8*j + 8 Let l(m) = 117183*m**2 + 134*m + 67. Let j(f) = 3551*f**2 + 4*f + 2. What is -67*j(n) + 2*l(n)? -3551*n**2 Let j(c) = -22238504*c**3 - 33779*c**2 + 33779. Let d(n) = -3950*n**3 - 6*n**2 + 6. Calculate 33779*d(y) - 6*j(y). 3974*y**3 Suppose 0*i = -2*i. Let h(c) = i*c**2 + 1 + c - 3*c**2 + 2*c**2. Let y(m) = 2*m**3 + 3*m**2 - 4*m - 3. Let f = 8267 + -8266. Determine f*y(o) + 3*h(o). 2*o**3 - o Let s(t) = -4029*t - 2 + 2012*t + 2010*t. Let d(q) = 21*q + 6. What is -3*d(m) - 8*s(m)? -7*m - 2 Let w(y) = 3*y**3 + 7*y**2 + 34*y - 5. Let f(h) = -7*h**3 - 13*h**2 - 67*h + 11. Give 2*f(t) + 5*w(t). t**3 + 9*t**2 + 36*t - 3 Let a(p) = 2*p**3 +
{ "pile_set_name": "DM Mathematics" }
b of picking 1 u and 2 q? 154/323 Two letters picked without replacement from uuuxxuuuuuuuuuuxuu. What is prob of picking 2 x? 1/51 What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 3, s: 5, o: 4}? 2/55 What is prob of picking 1 k and 1 u when two letters picked without replacement from {e: 1, z: 3, u: 5, k: 1, p: 3}? 5/78 What is prob of picking 1 o and 1 d when two letters picked without replacement from {o: 5, k: 1, u: 1, d: 3, w: 4, j: 3}? 15/136 What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 2, t: 2, u: 2}? 4/15 Two letters picked without replacement from tyhyhrtzzyzyzzjy. What is prob of picking 1 z and 1 y? 5/24 What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 5, q: 1, s: 9, z: 5}? 9/38 Three letters picked without replacement from {x: 11, y: 2}. Give prob of picking 2 x and 1 y. 5/13 Calculate prob of picking 2 q when two letters picked without replacement from {q: 5}. 1 Calculate prob of picking 3 q and 1 y when four letters picked without replacement from {y: 7, q: 5}. 14/99 What is prob of picking 1 r, 1 l, 1 v, and 1 c when four letters picked without replacement from lcrcovt? 2/35 What is prob of picking 2 g and 1 h when three letters picked without replacement from {e: 4, h: 2, g: 5}? 4/33 Three letters picked without replacement from ycacaaya. What is prob of picking 2 a and 1 c? 3/14 Three letters picked without replacement from {t: 1, l: 1, u: 1, i: 1, h: 1}. Give prob of picking 1 u, 1 l, and 1 t. 1/10 Calculate prob of picking 2 z, 1 o, and 1 q when four letters picked without replacement from {d: 1, q: 8, o: 1, n: 2, z: 8}. 224/4845 Two letters picked without replacement from {p: 4, z: 7, a: 2, n: 1, e: 2}. What is prob of picking 1 a and 1 n? 1/60 What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, o: 2, n: 1, c: 1, r: 1, g: 1}? 1/21 What is prob of picking 2 z, 1 i, and 1 c when four letters picked without replacement from chhiiczzzzhchzzu? 9/182 Four letters picked without replacement from eeeeueuueeeueeeueue. Give prob of picking 4 u. 5/1292 Four letters picked without replacement from tzjnyzbn. What is prob of picking 1 z, 1 b, 1 y, and 1 j? 1/35 Four letters picked without replacement from yyfyyffyyyf. What is prob of picking 2 f and 2 y? 21/55 Three letters picked without replacement from {d: 2, v: 1, a: 1, j: 4, b: 7}. What is prob of picking 1 d and 2 j? 12/455 Calculate prob of picking 1 c, 2 r, and 1 x when four letters picked without replacement from {x: 3, c: 8, r: 6}. 18/119 What is prob of picking 3 c when three letters picked without replacement from {c: 3, t: 2}? 1/10 Four letters picked without replacement from {d: 6, n: 2, c: 7}. Give prob of picking 2 c and 2 n. 1/65 What is prob of picking 2 c and 1 y when three letters picked without replacement from {y: 4, c: 16}? 8/19 What is prob of picking 4 i when four letters picked without replacement from {i: 19, m: 1}? 4/5 Three letters picked without replacement from ttrftfufwwtvt. Give prob of picking 1 w, 1 v, and 1 u. 1/143 Two letters picked without replacement from xcxxxxcx. Give prob of picking 2 x. 15/28 Four letters picked without replacement from {o: 8, e: 1, n: 1, m: 4, p: 1}. Give prob of picking 2 n, 1 p, and 1 e. 0 Three letters picked without replacement from kjuuukvkvbukkkjubk. What is prob of picking 1 v, 1 k, and 1 u? 35/408 Calculate prob of picking 3 x when three letters picked without replacement from xbxixxccxxicxxixxb. 5/34 Two letters picked without replacement from ysosyyyysygsggg. What is prob of picking 2 s? 2/35 Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bbbzbzzzzb. 5/9 Two letters picked without replacement from wwsgw. Give prob of picking 2 w. 3/10 Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {o: 3, x: 9, t: 1, p: 1}. 9/91 Three letters picked without replacement from {e: 3, y: 4}. Give prob of picking 3 y. 4/35 What is prob of picking 2 s and 2 r when four letters picked without replacement from rrrsrsssrrr? 21/55 What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 1, y: 3, t: 4, x: 1, a: 1, l: 4}? 4/91 Calculate prob of picking 3 c when three letters picked without replacement from cccc. 1 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {e: 3, r: 2, d: 6, h: 2}. 1/13 Calculate prob of picking 2 x and 2 g when four letters picked without replacement from vggvxvgxvgvvggvg. 3/260 Calculate prob of picking 2 u, 1 s, and 1 n when four letters picked without replacement from {n: 2, e: 2, u: 2, s: 3}. 1/21 What is prob of picking 1 d and 1 t when two letters picked without replacement from dvhutud? 2/21 Two letters picked without replacement from hppppphp. Give prob of picking 1 p and 1 h. 3/7 Two letters picked without replacement from brmmrssmsrmswbbw. Give prob of picking 1 b and 1 r. 3/40 What is prob of picking 1 v and 1 g when two letters picked without replacement from {u: 3, v: 6, t: 2, g: 4}? 8/35 What is prob of picking 2 t, 1 o, and 1 x when four letters picked without replacement from {t: 5, o: 1, x: 4}? 4/21 Two letters picked without replacement from {o: 6, y: 4, h: 1, e: 4, v: 5}. Give prob of picking 2 e. 3/95 Three letters picked without replacement from {t: 2, a: 1, o: 4}. Give prob of picking 1 a and 2 t. 1/35 Three letters picked without replacement from {j: 15, r: 3}. What is prob of picking 3 r? 1/816 Two letters picked without replacement from xxxxxxvx. What is prob of picking 2 x? 3/4 Two letters picked without replacement from {l: 2, m: 4}. What is prob of picking 1 m and 1 l? 8/15 Two letters picked without replacement from {y: 5, l: 14}. Give prob of picking 1 y and 1 l. 70/171 What is prob of picking 1 j and 1 r when two letters picked without replacement from dodjkdddockdrd? 1/91 Two letters picked without replacement from {w: 2, o: 1, j: 3, b: 4}. What is prob of picking 1 w and 1 o? 2/45 What is prob of picking 1 t and 3 y when four letters picked without replacement from tttttytyyt? 1/30 Two letters picked without replacement from ffffhffffffififfiifi. Give prob of picking 1 i and 1 h. 1/38 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {l: 1, k: 1, b: 2, y: 3, f: 1, z: 4}. 2/33 What is prob of picking 1 o and 1 t when two letters picked without replacement from {z: 2, t: 2, p: 3, b: 1, e: 2, o: 2}? 2/33 What is prob of picking 1 f, 2 v, and 1 i when four letters picked without replacement from vvfvivvviivivfiiv? 108/595 Three letters picked without replacement from {u: 1, s: 1, t: 2, m: 1}. What is prob of picking 1 t, 1 u, and 1 s? 1/5 Three letters picked without replacement from {f: 7, b: 6, n: 2}. What is prob of picking 1 f and 2 n? 1/65 Calculate prob of picking 2 m and 2 p when four letters picked without replacement from hmcccpppeccapppppmeh. 28/4845 What is prob of picking 1 f, 2 a, and 1 d when four letters picked without replacement from aaffaafadadfx? 24/143 What is prob of picking 1 l and 1 w when two letters picked without replacement from llrqwrrwrq? 4/45 Calculate prob of picking 1 d and 1 s when two letters picked without replacement from ssdsssasssssnnhs. 11/120 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from hyb. 1/3 Two letters picked without replacement from {b: 2, t: 4, f: 5, k: 2}. Give prob of picking 2 k. 1/78 Two letters picked without replacement from {b: 2, f: 1, o: 1}. What is prob of picking 1 o and 1 f? 1/6 Three letters picked without replacement from pcyfifiky. Give prob of picking 2 i and 1 p. 1/84 Two letters picked without replacement from olllmlellellolel. Give prob of picking 1 m and 1 l. 1/12 What is prob of picking 2 o when two letters picked without replacement from {o: 10}? 1 Two letters picked without replacement from {c: 8, z: 8, q: 1}. Give prob of picking 1 z and 1 c. 8/17 What is prob of picking 1 f, 1 s, and 2 k when four letters picked without replacement from kytkysfqf? 1/63 What is prob of picking 2 x when two letters picked without replacement from fxf
{ "pile_set_name": "DM Mathematics" }
lve 7*a - 21*a - 84 = 0 for a. -6 Solve -3 = -5*z + 7 for z. 2 Solve -13*t = 76 - 24 for t. -4 Solve l = -4*l + l for l. 0 Solve -45 = 13*m + 20 for m. -5 Solve 27*z + 48 = 19*z for z. -6 Solve 0 = 219*a - 215*a - 4 for a. 1 Solve -163 - 250 = -59*k for k. 7 Solve -1473 = 168*x + 207 for x. -10 Solve 3*k + 25 - 40 = 0 for k. 5 Solve 10*b + 23 - 3 = 0 for b. -2 Solve 88 = -8*u + 32 for u. -7 Solve 3*g = 9 - 3 for g. 2 Solve -241 + 235 = 6*d for d. -1 Solve 0 = -28*s + 35*s - 28 for s. 4 Solve 81*w = 103*w + 88 for w. -4 Solve -16*y + 19 = 115 for y. -6 Solve 234 = -28*o + 38 for o. -7 Solve -72*v = -154*v - 82 for v. -1 Solve -3*q - 4*q = -7 for q. 1 Solve 4 - 4 = 27*b for b. 0 Solve -b - b = 0 for b. 0 Solve -15*x + 183 = 228 for x. -3 Solve -88 = -3*h - 79 for h. 3 Solve -82*g = -220 - 108 for g. 4 Solve -37*d - 36 = -46*d for d. 4 Solve 80*m = 73*m - 28 for m. -4 Solve 0 = 9*p + 6 - 33 for p. 3 Solve -674*k + 144 = -658*k for k. 9 Solve -5*w = 2*w + 3*w for w. 0 Solve -8*z - 8 = -0 for z. -1 Solve 4*y = -0*y - 4 for y. -1 Solve -3*c + 11 + 1 = 0 for c. 4 Solve -80*b + 79*b = 0 for b. 0 Solve 2*a + 109 = 103 for a. -3 Solve 70 - 45 = -5*g for g. -5 Solve -4047*q + 5 = -4052*q for q. -1 Solve -9*i - 10 = -46 for i. 4 Solve -343*h + 358*h = 15 for h. 1 Solve -3*l = -32 + 38 for l. -2 Solve -6*p + 11 = -13 for p. 4 Solve 3 = -3*n + 9 for n. 2 Solve -154*q - 4 = -155*q for q. 4 Solve 119*w = 99*w - 40 for w. -2 Solve -14*w - 39 = -w for w. -3 Solve -352*x + 358*x = 30 for x. 5 Solve 0 = 6*i - 43*i + 222 for i. 6 Solve 117 + 639 = -84*s for s. -9 Solve 3*s + 4 = 5*s for s. 2 Solve -22*l + 153 = 329 for l. -8 Solve 14 - 9 = -5*f for f. -1 Solve 8*z + 30 = 30 for z. 0 Solve -18 = -5*v - 3 for v. 3 Solve 0 = 8*h - 16*h + 40 for h. 5 Solve -6*p = -42 + 36 for p. 1 Solve 5*o - 1 = -21 for o. -4 Solve -210 - 21 = -33*v for v. 7 Solve j + 6 = 2 for j. -4 Solve 0 = 6*j - 2*j - 4 for j. 1 Solve -40*z + 115 + 5 = 0 for z. 3 Solve -9*x = -10*x - 2 for x. -2 Solve 161 = -3*u + 170 for u. 3 Solve -j = 4*j - 10 for j. 2 Solve -17*b + 7*b - 40 = 0 for b. -4 Solve -57 = 4*a + 15*a for a. -3 Solve 2*v - 40 + 34 = 0 for v. 3 Solve 28*t - 41 = 155 for t. 7 Solve -258*s + 27 = -267*s for s. -3 Solve 0 = -117*u + 115*u for u. 0 Solve 25*w - 57 + 7 = 0 for w. 2 Solve i - 11 = -16 for i. -5 Solve 25 = 4*v + 9 for v. 4 Solve -92 = 7*k - 141 for k. 7 Solve 784*x = 780*x + 16 for x. 4 Solve 3*d = -0*d + 6 for d. 2 Solve -6*a + 40 - 16 = 0 for a. 4 Solve 0 = -35*o + 44 + 96 for o. 4 Solve 10*m + 27 = m for m. -3 Solve 0*h + 2*h = 0 for h. 0 Solve 286*r - 273*r + 39 = 0 for r. -3 Solve 6*k + 3 + 9 = 0 for k. -2 Solve -25*f + 54 = -16*f for f. 6 Solve 0 = 59*h + 20*h + 316 for h. -4 Solve -1 = -s - 1 for s. 0 Solve 2*a + 78 - 82 = 0 for a. 2 Solve -120 = 5*l - 115 for l. -1 Solve -22*k - 107 = -41 for k. -3 Solve 28 - 33 = 5*b for b. -1 Solve -8*a = 4 - 4 for a. 0 Solve 6*j - 13*j - 35 = 0 for j. -5 Solve -14*v = 119 - 7 for v. -8 Solve -2 - 6 = -8*q for q. 1 Solve -6 = -43*y + 40*y for y. 2 Solve 0 = 25*s - 26*s + 1 for s. 1 Solve -2*q + 533 = 543 for q. -5 Solve 12*t - 39 = 45 for t. 7 Solve 0 = -4316*l + 4322*l + 48 for l. -8 Solve -q + 23 - 24 = 0 for q. -1 Solve -25 = -7*w + 2*w for w. 5 Solve -28*j + 14 = 154 for j. -5 Solve -15*a = -18*a - 6 for a. -2 Solve 6*g + 12 = 9*g for g. 4 Solve -269*t + 263*t - 24 = 0 for t. -4 Solve -304 + 244 = 10*j for j. -6 Solve 0 = -10*c - 11842 + 11912 for c. 7 Solve 13*l + 17*l = 210 for l. 7 Solve -30*f = 95 + 145 for f. -8 Solve -12*y + 3 = -11*y for y. 3 Solve -8*a + 165 = 149 for a. 2 Solve 5*o + 8 - 23 = 0 for o. 3 Solve -87*l = -165*l + 78 for l. 1 Solve -68*s + 510 + 34 = 0 for s. 8 Solve 0 = -10*f + 3*f for f. 0 Solve 71*v = 59*v - 24 for v. -2 Solve -m = -14*m - 13 for m. -1 Solve 57*z - 62*z - 15 = 0 for z. -3 Solve 40 = 3*v + 64 for v. -8 Solve -139 + 69 = -10*k for k. 7 Solve x + 407 = 402 for x. -5 Solve -113 + 98 = -3*z for z. 5 Solve -24 + 16 = 4*r for r. -2 Solve 15 = -40*a + 55 for a. 1 Solve 2*o = -8 - 0 for o. -4 Solve -20*g = 3*g - 92 for g. 4 Solve -30*x - 25 = 125 for x. -5 Solve -181 + 421 = 40*r for r. 6 Solve 5*d = -21 - 4 for d. -5 Solve o = 3*o for o. 0 Solve -7*m = 6*m + 52 for m. -4 Solve 9 = 3*k + 18 for k. -3 Solve 10*o - o = -o for o. 0 Solve 22*h + 19 = 85 for h. 3 Solve 16*a = 24*a + 24 for a. -3 Solve -114 + 118 = 4*f for f. 1 Solve 103 + 113 = 36*q for q. 6 Solve 0 = 95*r - 67*r + 84 for r. -3 Solve -3 = -77*g - 80 for g. -1 Solve 7*g + 42 = -7*g for g. -3 Solve 7 - 2 = -w for w. -5 Solve 45*o - 30 = 51*o for o. -5 Solve -12 = -13*m + 19*m for m. -2 Solve 0 = 2*i - 32 + 28 for i. 2 Solve 7*c + 37 = 9 for c. -4 Solve 48*y + 318 + 66 = 0 for y. -8 Solve -6 = -49*k + 51*k for k. -3 Solve 3*s - 675 = -684 for s. -3 Solve -11*t = -21*t + 30 for t. 3 Solve -86*w + 284 = 112 for w. 2 Solve 7*g + 40 = -g for g. -5 Solve -11*l = -637 + 615 for l. 2 Solve -1 - 38 = 39*k for k. -1 Solve -24 - 24 = -12*a for a. 4 Solve 448 = -11*l + 437 for l. -1 Solve -28*b = -39*b - 22 for b. -2 Solve 1120*t = 1128*t for t. 0 Solve 0 = 23*h - 28 - 18 for h. 2 Solve 97 - 87 = -2*h for h. -5 Solve -23*i + 31*i - 32 = 0 for i. 4 Solve 57*i - 18 = -132 for i. -2 Solve -120*q = -142*q - 66 for q. -3 Solve 2*f = 84 - 86 for f. -1 Solve 11 = -13*p - 2 for p. -1 Solve 1 = 257*w - 258*w for w. -1 Solve -28*y = -30*y - 4 for y. -2 Solve 59*t - 20*t = 195 for t. 5 Solve 0*w - 2*w + 3*w = 0 for w. 0 Solve -12*k + 64 = 52 for k. 1 Solve -102*u + 95*u = 42 for u. -6 Solve 24*d - 26*d = -8 for d. 4 Solve 1680 = -6*k + 1722 for k. 7 Solve -6*t - 28 = t for t. -4 Solve -2 = 10*o - 8*o for o. -1 Solve 27*a + 4 = 25*a for a. -2 Solve -4 = -h - 5 for h. -1 Solve -7*i = -11 + 4 for i. 1 Solve 0 = -11*p + 141 - 119 for p. 2 Solve -22 = 3*n - 28 for n. 2 Solve -112*z = -121*z - 45 for z. -5 Solve 4*y - 27 + 27 = 0 for y. 0 Solve 320*v + 40 = 310*v for v. -4 Solve h + 39 - 35 = 0 for h. -4 Solve -12*r = 8*r for r. 0 Solve 56 = -14*v + 14 for v. -3 Solve 32 = 6*a + 2 for a. 5 Solve 5*v - 3*v = 8 for v. 4 Solve 31*w + 21 = 24*w for w. -3 Solve 9 = -22*x + 19*x for x. -3 Solve z - 10 + 18 = 0 for z. -8 Solve 9*t + 1 = 10*t for t. 1 Solve -8 = -59*g + 63*g for g. -2 Solve 53*g = 13*g - 80 for g. -2 Solve -6 + 12 = 3*t for t. 2 Solve 4*b + 1 + 7 = 0 for b. -2 Solve 7*m - 170 = -27*m for m. 5 Solve -4*t - 52 = -64 for t. 3 Solve q = -6 + 8 for q. 2 Solve -3329 = 3*i - 3338 for i. 3 Solve -15*n + 7*n - 8 = 0 for n. -1 Solve 0 = 27*y - 9*y - 54 for y. 3 Solve -8*r = -7*r for r. 0 Solve 13*k + 6 = 16*k for k. 2 Solve -9 + 23 = -7*s for s. -2 Solve 0 + 40 = 8*c for c. 5 Solve 0 = 32*u + 25 + 103 for u. -4 Solve 18 = 59*u - 53*u for u. 3 Solve -12*i = 3*i + 45 for i. -3 Solve -8*m + 4*m = -m for m. 0 Solve -53 + 52 = -p for p. 1 Solve 4*k = -0*k - 12 for k. -3 Solve -11*x = 2*x + 52 for x. -4 Solve -6*g + 39 = 15 for g. 4 Solve -2*k - 23 = -19 for k. -2 Solve 94*f - 21 = 91*f for f. 7 Solve -6 = -2*b - 2 for b. 2 Solve -143*b + 135*b - 32 = 0 for b. -4 Solve -3*o - 1 - 2 = 0 for o. -1 Solve 0 = 26*l - 14*l - 84 for l. 7 Solve -2 = -13*t + 14*t for t. -2 Solve -29*u = -0*u + 13*u for u. 0 Solve -10 = 3*q - 22 for q. 4 Solve -7 = -6*b - 1 for b. 1 Solve -30*h = -110 - 70 for h. 6 Solve 4*f + 11 = 23 for f. 3 Solve 32*z = 2*z + 210 for z. 7 Solve -819 = 101*r - 213 for r. -6 Solve -3*n - 3*n = -7*n for n. 0 Solve 0 = -9*i - 627 + 699 for i. 8 Solve 11*c + 908 = 864 for c. -4 Solve -316*q + 349*q = -330 for q. -10 Solve -8*g = 3 + 29 for g. -4 Solve -6 = -n + 3*n for n. -3 Solve 0 = -3*q + 4 + 2 for q. 2 Solve -35 + 36 = n for n. 1 Solve -14*f = -f - 104 for f. 8 Solve -310 - 460 = -154*y for y. 5 Solve 5*n - 15 = -5 for n. 2 Solve -15 = -7*o + 2*o for o. 3 Solve 0 = -10*d - 5*d - 45 for d. -3 Solve 52*j - 64*j = 60 for j. -5 Solve 7*n = 12 + 23 for n. 5 Solve -120 = 7*b - 27*b for b. 6 Solve 249*w - 252*w + 21 = 0 for w. 7 Solve 5*x + 8 - 28 = 0 for x. 4 Solve 15 = 5*v + 5 for v. 2 Solve 12*y - 39 = -51 for y. -1 Solve 0 = 25*u - 0*u - 100 for u. 4 Solve -148*s = 7*s - 930 for s. 6 Solve 11*r = 9*r - 6 for r. -3 Solve 10*f - 798 = -748 for f. 5 Solve 54*c = 20*c + 136 for c. 4 Solve -11 = -4*k - 19 for k. -2 Solve 0 = 7*b + 12 - 54 for b. 6 Solve 5*d - 3*d -
{ "pile_set_name": "DM Mathematics" }
m of 210235, 209713, 209191, 208669? -522*m + 210757 What is the q'th term of 44305861, 44305857, 44305851, 44305843, 44305833, 44305821? -q**2 - q + 44305863 What is the w'th term of -267986, -535962, -803932, -1071896? 3*w**2 - 267985*w - 4 What is the u'th term of -16044, -28120, -40196, -52272, -64348? -12076*u - 3968 What is the a'th term of 5302457, 5302427, 5302397? -30*a + 5302487 What is the n'th term of -74440, -149312, -224170, -299014, -373844? 7*n**2 - 74893*n + 446 What is the g'th term of 3457, 3443, 3463, 3547, 3725, 4027? 5*g**3 - 13*g**2 - 10*g + 3475 What is the a'th term of -128992, -128925, -128812, -128653? 23*a**2 - 2*a - 129013 What is the q'th term of -24070769, -48141526, -72212281, -96283034, -120353785? q**2 - 24070760*q - 10 What is the n'th term of -297453, -1189321, -2675759, -4756761, -7432321, -10702433, -14567091, -19026289? n**3 - 297291*n**2 - 2*n - 161 What is the w'th term of -5532631, -5532633, -5532635, -5532637? -2*w - 5532629 What is the z'th term of -9048, -8450, -6776, -3486, 1960? 90*z**3 - 2*z**2 - 26*z - 9110 What is the f'th term of -68948, -276061, -621228, -1104443, -1725700, -2484993, -3382316? f**3 - 69033*f**2 - 21*f + 105 What is the s'th term of -531, -2570, -6115, -11160, -17699, -25726, -35235? s**3 - 759*s**2 + 231*s - 4 What is the q'th term of -1705660, -3411356, -5117052, -6822748? -1705696*q + 36 What is the d'th term of 9409, 37089, 83237, 147865, 230985, 332609, 452749? 2*d**3 + 9222*d**2 + 185 What is the t'th term of 98, 899, 3030, 7121, 13802, 23703? 105*t**3 + 35*t**2 - 39*t - 3 What is the j'th term of 29601, 59201, 88801, 118401? 29600*j + 1 What is the b'th term of -16, -63, -258, -691, -1452, -2631, -4318, -6603? -15*b**3 + 16*b**2 + 10*b - 27 What is the n'th term of 385405, 770895, 1156457, 1542097, 1927821, 2313635, 2699545? n**3 + 30*n**2 + 385393*n - 19 What is the l'th term of 3372932, 3372945, 3372958, 3372971, 3372984, 3372997? 13*l + 3372919 What is the d'th term of 223626, 224706, 226506, 229026, 232266, 236226, 240906? 360*d**2 + 223266 What is the d'th term of 6116, 12794, 19472? 6678*d - 562 What is the d'th term of -918, -2064, -3858, -6624, -10686, -16368, -23994, -33888? -54*d**3 - 768*d - 96 What is the u'th term of -45539, -182076, -409643, -728240, -1137867? -45515*u**2 + 8*u - 32 What is the c'th term of -8351, -16656, -24985, -33344, -41739? -c**3 - 6*c**2 - 8280*c - 64 What is the v'th term of -3697751289, -3697751290, -3697751291, -3697751292? -v - 3697751288 What is the i'th term of 2539, 2445, 2301, 2113, 1887, 1629, 1345, 1041? i**3 - 31*i**2 - 8*i + 2577 What is the i'th term of 16740, 22571, 32288, 45891? 1943*i**2 + 2*i + 14795 What is the d'th term of -3232716, -3232723, -3232730? -7*d - 3232709 What is the u'th term of -44742, -179714, -404666, -719598? -44990*u**2 - 2*u + 250 What is the n'th term of -239198670, -239198671, -239198672, -239198673? -n - 239198669 What is the d'th term of -15243, -25900, -36553, -47202, -57847? 2*d**2 - 10663*d - 4582 What is the z'th term of -2962252, -2962252, -2962254, -2962258, -2962264? -z**2 + 3*z - 2962254 What is the f'th term of -29888, -117515, -262882, -465989, -726836, -1045423, -1421750? -28870*f**2 - 1017*f - 1 What is the v'th term of 29824, 59712, 89636, 119596? 18*v**2 + 29834*v - 28 What is the s'th term of 485, 2022, 4745, 8786, 14277, 21350, 30137, 40770? 22*s**3 + 461*s**2 + 2 What is the a'th term of -202178231, -404356461, -606534691, -808712921? -202178230*a - 1 What is the q'th term of 4003, 7924, 11773, 15556, 19279, 22948, 26569? q**3 - 42*q**2 + 4040*q + 4 What is the c'th term of -3632, -3952, -4272, -4592? -320*c - 3312 What is the j'th term of -578, 583, 3372, 7789, 13834, 21507? 814*j**2 - 1281*j - 111 What is the a'th term of 3758, 7512, 11258, 14996, 18726? -4*a**2 + 3766*a - 4 What is the b'th term of 10774, 10787, 10802, 10819, 10838? b**2 + 10*b + 10763 What is the d'th term of -236755, -236779, -236803? -24*d - 236731 What is the y'th term of 128056, 255952, 383848, 511744, 639640, 767536? 127896*y + 160 What is the q'th term of -9624, -22483, -38568, -57879, -80416, -106179, -135168? -1613*q**2 - 8020*q + 9 What is the j'th term of -8907, -13766, -18627, -23490, -28355, -33222, -38091? -j**2 - 4856*j - 4050 What is the d'th term of 429097, 429113, 429129, 429145, 429161? 16*d + 429081 What is the h'th term of -486, -1748, -3818, -6696, -10382, -14876? -404*h**2 - 50*h - 32 What is the o'th term of 93884, 93195, 92518, 91859, 91224, 90619, 90050, 89523? o**3 - 696*o + 94579 What is the c'th term of -2267983, -2267982, -2267979, -2267974, -2267967? c**2 - 2*c - 2267982 What is the t'th term of -1876, -1850, -1882, -1996, -2216, -2566, -3070, -3752? -4*t**3 - 5*t**2 + 69*t - 1936 What is the b'th term of 25181, 25617, 26053, 26489, 26925? 436*b + 24745 What is the g'th term of -149817759, -149817758, -149817757, -149817756, -149817755, -149817754? g - 149817760 What is the g'th term of 75884550, 75884558, 75884570, 75884586, 75884606, 75884630, 75884658? 2*g**2 + 2*g + 75884546 What is the f'th term of 2531, 2570, 2671, 2864, 3179, 3646, 4295, 5156? 5*f**3 + f**2 + f + 2524 What is the o'th term of 123, 1056, 3573, 8460, 16503, 28488, 45201? 131*o**3 + 6*o**2 - 2*o - 12 What is the k'th term of -32347, -32871, -33395, -33919, -34443? -524*k - 31823 What is the c'th term of -344083, -343942, -343801? 141*c - 344224 What is the s'th term of -5816, -11288, -16760, -22232, -27704, -33176? -5472*s - 344 What is the z'th term of -1666541, -3333328, -5000115? -1666787*z + 246 What is the y'th term of -780, -3192, -7252, -12984, -20412, -29560? -4*y**3 - 800*y**2 + 16*y + 8 What is the b'th term of -214723, -428088, -641453, -854818, -1068183? -213365*b - 1358 What is the m'th term of 4980, 10235, 16044, 22689, 30452? 47*m**3 - 5*m**2 + 4941*m - 3 What is the w'th term of -547, -1095, -1635, -2161, -2667, -3147, -3595? w**3 - 2*w**2 - 549*w + 3 What is the x'th term of -23687180, -23687126, -23687072, -23687018, -23686964? 54*x - 23687234 What is the a'th term of 39477019, 78954039, 118431059? 39477020*a - 1 What is the k'th term of -18819, -75009, -168669, -299805, -468423, -674529, -918129, -1199229? -k**3 - 18729*k**2 + 4*k - 93 What is the s'th term of -23700070, -47400142, -71100216, -94800292? -s**2 - 23700069*s What is the x'th term of -15716200, -31432405, -47148608, -62864809, -78581008, -94297205, -110013400? x**2 - 15716208*x + 7 What is the j'th term of -230, -627, -1024, -1421, -1818, -2215? -397*j + 167 What is the s'th term of 1773564, 3547121, 5320654, 7094151, 8867600, 10640989, 12414306? -2*s**3 + 1773571*s - 5 What is the o'th term of 1769, 14788, 50143, 119000, 232525, 401884, 638243, 952768? 1861*o**3 + 2*o**2 - 14*o - 80 What is the o'th term of -880, -2307, -5808, -12421, -23184, -39135, -61312, -90753? -173*o**3 + o**2 - 219*o - 489 What is the r'th term of 2052563, 2052476, 2052323, 2052098, 2051795, 2051408? -r**3 - 27*r**2 + r + 2052590 What is the l'th term of -1862, -3475, -4828, -5927, -6778, -7387, -7760, -7903? -l**3 + 136*l**2 - 2014*l + 17 What is the o'th term of -729751, -1459484, -2189215, -2918944, -3648671, -4378396, -5108119? o**2 - 729736*o - 16 What is the x'th term of -30886, -30903, -30926, -30955, -30990? -3*x**2 - 8*x - 30875 What is the l'th term of 49140, 196815, 443016, 787737, 1230972, 1772715, 2412960, 3151701? -l**3 + 49269*l**2 - 125*l - 3 What is the i'th term of -4401, -4287, -4173, -4059, -3945? 114*i - 4515 What is the c'th term of 26306, 52137, 77470, 102311, 126666, 150541? c**3 - 255*c**2 + 26589*c - 29 What is the m'th term of -635593, -1271186, -1906779, -2542372, -3177965? -635593*m What is the k'th term of 3433792, 6867598, 10301404, 13735210, 17169016, 20602822? 3433806*k - 14 What is the p'th term of 7768, 16161, 24554? 8393*p - 625 What is the y'th term of 469, 810, 1705, 3424, 6237, 10414, 16225? 45*y**3 + 7*y**2 + 5*y + 412 What is the o'th term of -339744, -679505, -1019268, -1359033, -1698800? -o**2 - 339758*o + 15 What is the o'th term of 8765, 22822, 36879, 50936, 64993, 79050? 14057*o - 5292 What is the i'th term of -149, -1691, -6185, -15203, -30317? -262*i**3 + 96*i**2 + 4*i + 13 What is the d'th term o
{ "pile_set_name": "DM Mathematics" }
93*w - 3 Let h(g) = g + 5. Let n(c) = -c - 4. Let f(a) = -4*h(a) - 5*n(a). Let o(s) be the first derivative of 8*s**2 - 2*s - 57786. What is 12*f(t) - o(t)? -4*t + 2 Let y(l) = -51*l**2 - 10*l + 6. Let z(s) = -56*s**2 - 10*s + 9. What is -4*y(c) + 3*z(c)? 36*c**2 + 10*c + 3 Let z(f) = -17315*f**3 - 2*f**2 + 2. Let h(c) = -51945*c**3 - 7*c**2 + 7. Determine 2*h(x) - 7*z(x). 17315*x**3 Let u(m) be the second derivative of 5*m**4/4 + 13*m**3/6 - 9*m**2/2 - 2*m + 1355. Let b(w) = 4*w**2 + 3*w - 2. Give -9*b(a) + 2*u(a). -6*a**2 - a Let f(w) = -63*w**2 - 8*w - 48. Let d(v) = -22*v**2 - 3*v - 16. Determine -8*d(b) + 3*f(b). -13*b**2 - 16 Let r(q) = 0 + 0 + 1 + q. Let c(j) = 109. Let p(d) = -163. Let w(i) = -3*c(i) - 2*p(i). Calculate -5*r(b) - 4*w(b). -5*b - 1 Let c(j) = 5*j**2 + j. Let f(n) = -2*n**3 + 20*n**2 + 3*n + 105. Determine 4*c(a) - f(a). 2*a**3 + a - 105 Let g(b) = 3*b**2 + 7*b + 47. Let q(z) = -4*z**2 - 10*z - 70. Determine -7*g(p) - 5*q(p). -p**2 + p + 21 Let y be 159/(-33) + (-18)/(-1485)*-15. Let i(m) = -m**3 + 6*m**2 - 7*m + 8. Let f(n) = n**3 - 5*n**2 + 6*n - 8. Give y*f(q) - 4*i(q). -q**3 + q**2 - 2*q + 8 Let u(x) = -6*x**2 - 3*x. Let b(g) = g**2 + 17*g - 35. Let j be b(-19). Let v(n) be the first derivative of -n**3/3 + n**2/2 - 11. Determine j*v(q) + u(q). -9*q**2 Let m(q) = -587*q - 19. Let v(g) = 414*g + 13. Let c(z) = -5*m(z) - 7*v(z). Let b(i) = -111*i - 11. Give 4*b(a) + 11*c(a). -37*a Let v(n) = 10*n**3 - n**2 + 3*n + 2. Let p(m) = -2*m**3 + m - 1. Calculate 6*p(w) + v(w). -2*w**3 - w**2 + 9*w - 4 Let q(l) = 4013*l**3 + 2*l**2 - 4*l - 2. Let m(p) = 4014*p**3 + 3*p**2 - 6*p - 3. Calculate -2*m(h) + 3*q(h). 4011*h**3 Let y(w) = -294*w - 15. Let p(i) = 149*i + 7. Give -5*p(d) - 2*y(d). -157*d - 5 Let a(l) = -11*l**2. Let j(x) be the third derivative of -x**5/6 - 2*x**2 - 131*x. Give -4*a(y) + 3*j(y). 14*y**2 Suppose 95 = 7*m + a, 25*a - 26*a = 3*m - 39. Let r(y) = -1. Let w(s) = -21*s - 14. Give m*r(c) - w(c). 21*c Suppose -7*l + 15 = -2*l. Suppose -l*g + 375 = 2*g. Let u(y) = 154 - 78 - g - 13*y. Let c(v) = 3*v. Determine 9*c(q) + 2*u(q). q + 2 Let l(d) = -3*d**2 - d - 2. Let b(x) = 32*x**2 + 22*x + 39. Let z(i) = -45*i**2 - 31*i - 55. Let v(p) = -17*b(p) - 12*z(p). Give -7*l(o) + 5*v(o). o**2 - 3*o - 1 Let d(s) = -8*s + 2. Let q(l) = -7*l + 2. Suppose 2*o + 16 = 6*p - p, 5*o + 4*p - 26 = 0. Let k be (29 + -35)*o/(-3). Determine k*d(t) - 5*q(t). 3*t - 2 Let f(z) = 29*z. Let x(t) = -28*t - 340 + 653 - 313. Calculate -5*f(s) - 6*x(s). 23*s Let g(u) = -u**3 + 90*u**2 - 6*u - 6. Let q(t) = -8*t**3 + 618*t**2 - 41*t - 41. What is 41*g(i) - 6*q(i)? 7*i**3 - 18*i**2 Let p(z) = -3762*z**2 - 32. Let t(m) = -m**2 - 11. Calculate p(s) - 3*t(s). -3759*s**2 + 1 Let z(j) = 2 + 1 - j + 2. Let l(v) = 3. Let t be (4/10)/(((-4)/30)/(-2)). Suppose -6 = -4*n + t. Give n*z(k) - 5*l(k). -3*k Let b(f) = 13*f**3 - 4*f**3 - 6*f**3 - f**2 - 2*f**3. Let g(x) = -3*x**3 + 7*x**2 + 4*x. Let h = 96 + -97. Determine h*g(d) - 5*b(d). -2*d**3 - 2*d**2 - 4*d Let g(t) = -2*t**3 - 9*t**2 - 4*t - 15. Let y = -626 + 617. Let l(c) = c**3 + 4*c**2 + 2*c + 7. Determine y*l(n) - 4*g(n). -n**3 - 2*n - 3 Let t(m) = m. Let c(y) be the third derivative of y**4/12 + y**3/6 + y**2. Suppose 34*n - 468 = 144. Suppose -52 = 5*v - n*v. Calculate v*t(u) - c(u). 2*u - 1 Let g(r) = 9*r**3 - 147*r - 24. Let o(t) = -6*t**3 + 74*t + 13. Calculate 6*g(m) + 11*o(m). -12*m**3 - 68*m - 1 Let i(x) = -x**3 - 8*x**2 - 5*x - 6. Let m(d) = -2*d**3 - 17*d**2 - 10*d - 13. Suppose -j = -4*u - 47, 1099*j - 1097*j + 36 = -2*u. Calculate u*i(g) + 6*m(g). g**3 + 2*g**2 + 5*g Let u(i) be the second derivative of 11*i**4/4 - i**3/3 + 3*i**2/2 + 993*i. Let h(a) = -65*a**2 + 3*a - 5. Determine 3*h(l) + 5*u(l). -30*l**2 - l Let r(t) = 3. Let u(w) = 3*w - 45. Let d(g) = 15*r(g) + u(g). Let i(b) = 30*b. Suppose 12 = 3*h - 6*h. Determine h*i(k) + 42*d(k). 6*k Let j(b) = 26*b**2 + 2*b - 1. Let z be -2 + -11*20/(-44). Let v(k) = 77*k**2 + 6*k - 2. Calculate z*v(s) - 8*j(s). 23*s**2 + 2*s + 2 Let g be (-1)/(-2)*(6 - (-1 - -3)). Let x(u) = 3*u**2 - 3*u. Let b(f) = f + 283532*f**2 - 283533*f**2 - 2*f. Give g*b(y) - x(y). -5*y**2 + y Let c(n) = 2*n**2 - n - 12. Let s(v) = -2*v**2 - 234*v + 22. Calculate -2*c(k) - s(k). -2*k**2 + 236*k + 2 Let i(n) = -14*n**3 - 3*n**2 + 2*n + 2. Let c(l) be the first derivative of 29*l**4/4 + 7*l**3/3 - 5*l**2/2 - 5*l - 2350. Determine -2*c(u) - 5*i(u). 12*u**3 + u**2 Let p(t) = -2*t**3 + 5*t**2 + 5*t + 6. Let h(d) be the second derivative of d**5/10 - d**4/3 - 2*d**3/3 - 5*d**2/2 - 5805*d. Give -5*h(a) - 4*p(a). -2*a**3 + 1 Let v(c) = -c - 5. Suppose -11*d = 14 - 17 - 52. Let i(z) = -z - 9. Determine d*v(h) - 3*i(h). -2*h + 2 Let r(g) = 4*g + 5. Let k(s) = 378*s - 20. Give -k(h) - 2*r(h). -386*h + 10 Let v(l) = 14*l**2 - 3*l - 56. Let b(m) = 30*m**2 - 6*m - 121. Determine 6*b(c) - 13*v(c). -2*c**2 + 3*c + 2 Let q(k) be the second derivative of -k**4/3 + 20*k + 2. Let d(o) = o**2. Suppose -7*b - 6988 = -7002. What is b*d(a) + q(a)? -2*a**2 Let t(o) = 5*o - 9*o + 6*o - o. Let u be ((-234)/(-1404))/(-1 + 10/12). Let n(h) = 5*h + 6. Calculate u*n(l) + 6*t(l). l - 6 Let x(f) = 6*f - 9. Let w be -1 + 5 + (4 - (-12)/2). Let b(r) = -r + 1. Give w*b(t) + 2*x(t). -2*t - 4 Let q(z) = -130*z + 87. Let h(m) = -128*m + 83. Determine 6*h(f) - 5*q(f). -118*f + 63 Let l(x) = 17*x - 2. Let j(h) = 5 - 135*h - 119*h - 116*h - 115*h + 450*h. What is -2*j(d) - 5*l(d)? -15*d Suppose -19*j - 7*j - 26 = 0. Let z(t) = t - 1. Let m(l) = -3*l - 25*l + 25 - 16 + 5. What is j*m(o) - 14*z(o)? 14*o Let d = 11426 - 11416. Let j(w) = 3*w + 6. Let r(v) = 1. Calculate d*r(h) - 2*j(h). -6*h - 2 Let r(n) = -7*n**3 + 4*n - 476. Let m(c) = 8*c**3 - 5*c + 479. Calculate 4*m(i) + 5*r(i). -3*i**3 - 464 Let s(r) = -129*r + 41. Let i(w) = -1160*w + 370. Let k(o) = 6*i(o) - 55*s(o). Let q(d) = -8*d + 2. What is 2*k(l) + 35*q(l)? -10*l Let b(r) = r**2 - r - 1. Let x = 7516 - 7515. Let k(q) = -6*q**2 + 3*q**2 + 2*q**2 - 2*q. Give x*k(m) - b(m). -2*m**2 - m + 1 Let s(q) = 17*q - 117. Let r(z) = -8*z + 59. Determine 5*r(x) + 3*s(x). 11*x - 56 Let k(c) = -9*c**2 - 10*c - 2. Let t(p) = -3*p**2 - 3*p - 1. Let n be -1*(2 - -7 - 2). Determine n*t(a) + 2*k(a). 3*a**2 + a + 3 Let n(p) = -7*p - 1. Let x(d) = -3*d - 1. Let l(a) = 2*a + 1. Let k(i) = 4*l(i) + 5*x(i). Suppose -57*c - 17 + 1 = -244. Calculate c*k(w) - 5*n(w). 7*w + 1 Let n(j) = -j + 1. Suppose 3*p - 7 = 5*l, 9*l = 12*l + 3*p - 15. Let o(c) = -5*c + 3. Suppose -3*t - t + 28 = 0. Suppose 3*z + t = -2. Give l*o(s) + z*n(s). -2*s Suppose s + 4*v = -0*s + 3, 2*s - 3*v = 6. Let r(a) = -1 - s + 1 + 4. Let d(b) = b - 2. What is 3*d(l) + 4*r(l)? 3*l - 2 Let h(d) = -1 - 2 - 1 + d - 4 + 6. Let r(o) = 3*o - 6. Let q be -2*3/((-6)/2). What is q*r(j) - 7*h(j)? -j + 2 Let w(q) be the second derivative of q**5/4 - q**2/2 - 52*q. Let g(r) be the second derivative of -r**5/2 + r**2/2 + 6*r. Calculate 3*g(k) + 5*w(k). -5*k**3 - 2 Let p(n) = -n - 29. Let g(k) = 1452*k - 57. Determine -g(w) + 2*p(w). -1454*w - 1 Let a(f) = -55*f**3 - 4*f**2 + f - 10. Let q(b) = b**3 + 4*b**2 - b - 1. What is -a(h) - q(h)? 54*h**3 + 11 Let r(a) = -157*a + 2. Let y(g) = 135*g - 2. Calculate 8*r(u) + 9*y(u). -41*u - 2 Let s(i) = 876*i - 11. Let m(j) = 876*j - 15. Give -2*m(o) + 3*s(o). 876*o - 3 Let i(d) = d + 3. Let z be i(-8). Let v(n) = 2*n**3 + 6*n**2 - 5. Let a be 41/82 - (-2)/4. Let o(j) = -18*j**2 + 38*j**2 - 19*j**2 + 0 - a. Give z*o(s) + v(s). 2*s**3 + s**2 Let j(r) = 183*r**3 - 3*r**2 + 10*r + 5. Let y(b) = 193*b**3 - 3*b**2 + 8*b + 4. Give 4*j(k) - 5*y(k). -233*k**3 + 3*k**2 Let q(x) = -x + 0*x - 6 + 7 - 4. Let o(b) = -4. Let d(g) = 6. Let l(i) = -3*d(i) - 5*o(i). Determine -4*l(v) - 3*q(v). 3*v + 1 Let f be (-264)/36*6/(-4). Suppose i = 16 - f. Let g = 19 - 23. Let p(a) = -4*a + 4. Let c(m) = -4*m + 5. Calculate g*c(y) + i*p(y). -4*y Let j(l) = 10*l**2 - 7295*l + 2. Let z(h) = -14*h**2 + 7291*h - 3. Calculate -3*j(s) - 2*z(s). -2*s**2 + 7303*s Let y = -1544 + 1541. Let z(s) = 210*s. Let g(b) = 70*b. Determine y*z(c) + 8*g(c). -70*c Suppose 5*f = -f - 24. Suppose 8*r + 180 = -r. Let t be 155/25 - f/r. Let g(n) = -8*n**2 + 6*n + 6. Let h(u) = u**2 - u - 1. Give t*h(i) + g(i). -2*i**2 Let v(i) = -4*i
{ "pile_set_name": "DM Mathematics" }
2 Find the first derivative of -75*o**3 + 146 wrt o. -225*o**2 Find the first derivative of 4472*h**3*k**3 + 195*h**3*y + 5*h*y - k**3*y wrt y. 195*h**3 + 5*h - k**3 Differentiate -7*s**2 - 75*s - 4900 with respect to s. -14*s - 75 Find the third derivative of 16*l**4 - 3*l**3*y**3 + 15*l**2*y - 2*y**3 wrt l. 384*l - 18*y**3 What is the third derivative of 1291*f**3*q**3 + 19*f**3*q - 25*q**2 wrt q? 7746*f**3 Find the third derivative of -2*g**5 + 2*g**4 - 20*g**3 - 23086*g**2 wrt g. -120*g**2 + 48*g - 120 Find the second derivative of 2*a**3*m**2 - 292*a**2*m**2 - 8*a*m - 26*m**2 - 3*m wrt a. 12*a*m**2 - 584*m**2 What is the second derivative of 2*c**3*n - 486*c**3 + 170*c*n + 4*c wrt c? 12*c*n - 2916*c Find the second derivative of 14*b**4*i + 6*b**3*g*i - 2*b*g + b*i + 112*g + 1 wrt b. 168*b**2*i + 36*b*g*i What is the derivative of -25*h - 119? -25 Find the second derivative of 9*j**5 + 22*j**4 - j**3 + 210*j - 6 wrt j. 180*j**3 + 264*j**2 - 6*j What is the third derivative of -2581*m**3 - 12685*m**2? -15486 Find the third derivative of -11*u**6 - 364*u**5 - 2*u**2 + 2335 wrt u. -1320*u**3 - 21840*u**2 What is the second derivative of -924*f**3 + 4*f - 24 wrt f? -5544*f What is the second derivative of 24*g**3*v**2 + g**3 - 2*g*v + v**5 - 11*v wrt v? 48*g**3 + 20*v**3 Find the first derivative of 3*m**2*o**2 + 178*m**2 - 19*m*o**2 wrt o. 6*m**2*o - 38*m*o What is the second derivative of -959*b**3*o**2 + 9*b**3 - 22*b*o wrt o? -1918*b**3 Find the second derivative of -1318*g**2*z + g**2 - 14*g*z - 62*z + 1 wrt g. -2636*z + 2 Find the second derivative of -2557*l**4 - 3*l - 380. -30684*l**2 What is the second derivative of -20*f**4 - 3*f**2 - 5*f + 12? -240*f**2 - 6 Find the first derivative of 216*j**3*l - 5*j*l**3 - 78*l**3 - 9*l wrt j. 648*j**2*l - 5*l**3 What is the second derivative of -8287*y**5 - 2355*y - 3 wrt y? -165740*y**3 What is the derivative of -3394*u - 3447? -3394 Find the third derivative of -14*a**2*t**3 - 264*a**2*t**2 - 8*a*t**3 + 2*a*t wrt t. -84*a**2 - 48*a What is the derivative of 11*f*u - 2*f + 7*n*u**2 - 20*n - 3*u**3 wrt u? 11*f + 14*n*u - 9*u**2 What is the second derivative of 2*c*p**2*q - 2*c*p**2*s - 4*c*p*q*s**2 + 3*c*p*s + 2*c*s**2 + 2*p**2*q + 21*p**2*s**2 + p*q*s wrt p? 4*c*q - 4*c*s + 4*q + 42*s**2 Differentiate j**3*l + 1034*j**3 + 74*j**2*l + 2*j*l**2 - 2*j with respect to l. j**3 + 74*j**2 + 4*j*l Find the second derivative of -13475*j**3*t**2 - 3*j**3 - 28*j*t - 9*j wrt t. -26950*j**3 Find the second derivative of -9*a**2*m**3*z**3 - 333*a**2*m**3*z**2 - 4*a*m**2*z**3 + a*m*z**3 + m**3 + 11*m**2*z**3 + 17*z**3 wrt a. -18*m**3*z**3 - 666*m**3*z**2 Find the first derivative of -406*d**4 + 243 wrt d. -1624*d**3 Find the third derivative of 3*p**3*r*s**2 + 5*p**3*r + p**3*s**2 + p**2*r*s + 3*p**2*s**2 + 2*p*r*s**2 - s**2 wrt p. 18*r*s**2 + 30*r + 6*s**2 Find the third derivative of -191*i**4 + 3*i**3*s**2 + i**2*s + 1297*i**2 + i*s**2 wrt i. -4584*i + 18*s**2 Find the first derivative of 2*j*m*t**2 + j*m*t - 3771*j*m - 280*m*t**2 wrt t. 4*j*m*t + j*m - 560*m*t What is the second derivative of 17*f**4 - 91*f**3*x**2 - 6*f*x**2 + 22*f - x**2 wrt f? 204*f**2 - 546*f*x**2 Find the third derivative of 4*q**3*r**3 + 510*q**3*r**2 + 134*q**2*r**3 - 41*q**2 + q*r**2 wrt q. 24*r**3 + 3060*r**2 Find the second derivative of 102*k**4 + 4*k**2 - 391*k. 1224*k**2 + 8 Find the first derivative of -k**4*o + 99*k**3*o - 66*o - 2 wrt k. -4*k**3*o + 297*k**2*o Differentiate 3*f*q*y**2*z + 4*f*y*z + 2*f + q*y**2 + q*y + 2*y**2 + 2*y*z with respect to f. 3*q*y**2*z + 4*y*z + 2 Find the third derivative of 34*i**6*z + 2*i**4*z**3 + 3*i**4 + 2*i**2*z**2 + i**2*z + 16*z**3 wrt i. 4080*i**3*z + 48*i*z**3 + 72*i Differentiate -6*k**2 - 148*k - 29837. -12*k - 148 What is the derivative of -290*p**2*x**3 - 12*x**3 + 23*x wrt p? -580*p*x**3 Find the first derivative of -3*k*u - 3*k - 6*u**2 - 2*u + 223 wrt u. -3*k - 12*u - 2 What is the third derivative of -551*f**4 - f**3 + 3663*f**2 wrt f? -13224*f - 6 What is the third derivative of 17*j**3 - 7*j**2 - 7? 102 Find the third derivative of 976*u**6 + 12*u**2 - 82*u wrt u. 117120*u**3 What is the third derivative of -293*g**4*h**3 + g**4*h**2 + 2*g**2*h + 22*h**3 wrt g? -7032*g*h**3 + 24*g*h**2 Differentiate -9954*q**4 - 24259 with respect to q. -39816*q**3 What is the third derivative of 3*c**5*r**3 - 25*c**5*r**2 + 2*c**2*r**3 + 13*c**2 wrt c? 180*c**2*r**3 - 1500*c**2*r**2 What is the second derivative of -h**2*k**3 - 41*h**2 + 490*h*k**3 - 3*h - k**2 - 5*k wrt k? -6*h**2*k + 2940*h*k - 2 What is the first derivative of 109*i - 484? 109 What is the third derivative of -339*g**3*p**3 - 5*g**3*p**2 - 2*g**3 - 106*g**2*p**3 + 25*g**2*p**2 wrt g? -2034*p**3 - 30*p**2 - 12 Find the second derivative of -2*k**2*s*y**2 - 14*k**2*s*y + 28*k*y - 8*s*y**2 + 15*y**2 wrt y. -4*k**2*s - 16*s + 30 Find the second derivative of 61*k**4 + 50*k + 1. 732*k**2 What is the second derivative of 685*d**5 - 3*d**3 + 1295*d? 13700*d**3 - 18*d What is the second derivative of -4*a**2*h**2*x + 2*a**2*h + 28*a**2*x + 72*a*h**2 - 2*h**2*x - 4*h wrt h? -8*a**2*x + 144*a - 4*x What is the second derivative of -2*i**4 - 682*i**3 - 2*i**2 + 1355*i wrt i? -24*i**2 - 4092*i - 4 What is the derivative of 1021*i*k - 2*i + 3324*k wrt i? 1021*k - 2 What is the third derivative of -5357*j**3 + 8516*j**2? -32142 What is the first derivative of 887*m**3*o**2 - 478*o**2 wrt m? 2661*m**2*o**2 What is the third derivative of 740*c**4 + 3*c**2 + 89? 17760*c Differentiate 6*q**3 + q**2 - q + 7280. 18*q**2 + 2*q - 1 Find the second derivative of 3*t**5 + 5*t**3 + 27*t**2 - 11950*t wrt t. 60*t**3 + 30*t + 54 What is the derivative of u**4 + 33*u**3 + 3*u + 2305 wrt u? 4*u**3 + 99*u**2 + 3 Find the third derivative of b**6 + 7*b**4 - 185*b**3 + 43*b**2 + b + 3. 120*b**3 + 168*b - 1110 Differentiate c*d*y - c*y + 2*c - 244*d*g*y + 5*d*g + 2*g*y - 2*g with respect to y. c*d - c - 244*d*g + 2*g Differentiate -46*p*w**2 + 2*p + w**2 - 2*w wrt p. -46*w**2 + 2 Find the first derivative of -10*b**2 - 26*b + 147 wrt b. -20*b - 26 What is the derivative of -2*d**2 - d*n*y - d*n - 325*n + y + 2 wrt d? -4*d - n*y - n What is the first derivative of -406*y - 385 wrt y? -406 What is the second derivative of 10*b**3*c**2*r - 2*b**3*c*r + 130*b*c**2*r**2 + 56*b*c*r + c*r**2 + 3*r**2 wrt c? 20*b**3*r + 260*b*r**2 Find the second derivative of -2937*l**2 - 1977*l wrt l. -5874 What is the second derivative of -3*b**3*f**3 - 8*b**3*f + 7*b**2*f**3 + 8*b**2 + 13*b*f**2 - 2*b*f wrt f? -18*b**3*f + 42*b**2*f + 26*b Differentiate -c**2*w - 132*c**2 - c*w - w - 43 wrt c. -2*c*w - 264*c - w Find the second derivative of 13*k**4 - 1013*k**2 + 555*k - 9 wrt k. 156*k**2 - 2026 Find the third derivative of 9*b**3*g*t**3 - b**3*g*t + b**2*t - 79*b*g*t**3 - b*t**2 + 222*g*t**2 wrt t. 54*b**3*g - 474*b*g What is the third derivative of c**3*l + 776*c**3 - 10475*c**2*l wrt c? 6*l + 4656 What is the derivative of -8615*j**2 - 1552 wrt j? -17230*j What is the derivative of -50*h*l**2*u**2 + h*l**2 + 2*h*u + 1071*h + 3*l**2*u**2 wrt u? -100*h*l**2*u + 2*h + 6*l**2*u Differentiate 80*r - 101 wrt r. 80 Find the third derivative of -345*x**5 - 259*x**2 wrt x. -20700*x**2 What is the second derivative of -9*f*p*u**2 - 3*f*p*u - 225*f*u**2 - p*u**2 - 10*p*u + 9*p wrt u? -18*f*p - 450*f - 2*p Find the third derivative of 353*j**3 - 103*j**2 - 2*j. 2118 What is the derivative of 2*k**2*u - 22*k**2 - 6*k*u**2 - k*u + 2*k - 27*u - 26 wrt u? 2*k**2 - 12*k*u - k - 27 What is the second derivative of 19*g**2 + g - 980 wrt g? 38 What is the third derivative of -274*t**6 - 2*t**4 - 2*t**3 + 11144*t**2? -32880*t**3 - 48*t - 12 What is the second derivative of -274*d**4 - 439*d - 2 wrt d? -3288*d**2 What is the third derivative of 5*s**5 - 12*s**4 + 5*s**3 + 212*s**2 - s + 8? 300*s**2 - 288*s + 30 Find the third derivative of 2*z**6 - 54*z**5 + 7*z**3 + 5183*z**2 wrt z. 240*z**3 - 3240*z**2 + 42 Find the third derivative of 152*c**6 + c**3 - 62*c**2. 18240*c**3 + 6 Differentiate 7*c**2*q**3 - 33*c*q**3 + 148*q**3 with respect to c. 14*c*q**3 - 33*q**3 Differentiate -190*z**2 + 208 with respect to z. -380*z Find the second derivative of 171*o**5 - 17*o**4 + o - 40 wrt o. 342
{ "pile_set_name": "DM Mathematics" }