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1. Give -3*b(f) + i(f). f - 2 Let s(t) = 1729*t - 63979. Let n be s(37). Let i(o) be the first derivative of -o + 1. Let a(q) = 4*q**2 - 7. Determine n*i(v) + a(v). 4*v**2 - 1 Let l(m) = m**3 - 2*m**2 + 5*m + 3179. Let d(x) = 17*x**3 - 33*x**2 + 81*x + 50861. Give 2*d(h) - 33*l(h). h**3 - 3*h - 3185 Let s(p) = 35*p + 408. Let z(t) = -7*t - 87. Calculate 2*s(m) + 11*z(m). -7*m - 141 Let m = -25 - -7. Let f(d) = -24*d - 134. Let n(c) = 3*c + 22. Let t(u) = -2*f(u) - 13*n(u). Let p(g) = 1. What is m*p(b) - t(b)? -9*b Let k(u) = -779*u**3 - 16*u**2 + 6*u. Let w(p) = -4*p**3 - 2*p**2 + p. What is -k(t) + 6*w(t)? 755*t**3 + 4*t**2 Let g(d) = 5 + 118*d - 58*d - 4 - 61*d. Let x(l) = 1. Let k(y) = y + 9. Let n be k(-10). Determine n*x(r) + 3*g(r). -3*r + 2 Let y(o) = 10*o - 1 + 10*o - 15*o - 7*o + 3*o. Suppose -3*b + 5 = 5*a - b, -5*b = -3*a + 3. Let v(p) = 13*p - 5. Give a*v(j) - 5*y(j). 8*j Let u(g) = -60*g**3 + 4*g**2 + 6*g - 2. Let m(h) = 59*h**3 - 4*h**2 - 8*h + 4. Calculate -3*m(b) - 4*u(b). 63*b**3 - 4*b**2 - 4 Let n(q) = -q**2 - q + 1. Let u(g) be the second derivative of g**4/2 + g**3/2 - 3*g**2/2 + g + 1196. Determine -5*n(x) - u(x). -x**2 + 2*x - 2 Let f(m) = -m + 1. Let d(v) = -v**2 - v + 1. Suppose -168*g - 102 = 66. Let p = 3 + -2. Calculate g*d(x) + p*f(x). x**2 Suppose -3*l = -5*i - 1984, 0 = -3*l + 5*l - 4*i - 1326. Let f(c) = -659 - c**3 + 1313 - l. Let g(d) = 5*d**3 + d**2 - 1. Determine -3*f(s) - g(s). -2*s**3 - s**2 - 2 Let b(c) = -416*c + 1243. Let j be b(3). Let m(a) = 11*a**2 + 2. Let y(z) = 10*z**2 + 1. Calculate j*y(n) + 4*m(n). -6*n**2 + 3 Let s(c) = c + 4. Let l(w) = -w - 3. Let d be 41/(-11) - (-267)/(-979). Let a = 23 + -29. Let p be a + 0 + (-2 - -3). Calculate d*s(f) + p*l(f). f - 1 Let l(s) be the second derivative of -35*s**5/2 + 5*s**3/2 - 15*s**2/2 + 2268*s. Let j(x) = 50*x**3 - 2*x + 2. Determine 15*j(n) + 2*l(n). 50*n**3 Let k(m) = -19*m**3 + 2*m**2 - 4*m - 4. Let q(t) = -18*t**3 + 2*t**2 - 2*t - 3. Calculate -3*k(a) + 4*q(a). -15*a**3 + 2*a**2 + 4*a Let k = -2757 + 2751. Let s(m) be the third derivative of m**6/120 + m**5/30 + m**3/3 + 22*m**2. Let z(i) = 2*i**3 + 3*i**2 + 3. Determine k*s(o) + 4*z(o). 2*o**3 Let l(y) = 2*y**3 + y**2 - 1. Let b(v) = -150*v**2 + 60*v**2 - 6*v**3 + 3 + 88*v**2. Calculate 2*b(m) + 7*l(m). 2*m**3 + 3*m**2 - 1 Let s(u) = 4*u - 3*u + 0*u + 17. Let t(n) = -23. Let p(l) = 11*l + 41. Let o be p(-5). Let r(g) = -7. Let c(a) = o*r(a) + 4*t(a). Determine 17*c(w) - 6*s(w). -6*w Let b(s) = 2*s**2 + 3*s + 1. Let p(z) = -51880*z**2 - 93384*z - 31128. Give 31128*b(o) + p(o). 10376*o**2 Let y(f) = 337*f**2 + 9*f + 4006. Let u(k) = -75*k**2 - 2*k - 1001. Calculate -9*u(o) - 2*y(o). o**2 + 997 Suppose w + 3*w = -5*y + 58, 0 = -w + 2. Let f(u) = -y*u + 9*u + 0 - 3*u**2 + 0. Let c(s) = -13*s**2 - 5*s. What is -2*c(t) + 9*f(t)? -t**2 + t Let w(c) = 133*c + 6098. Let q(v) = 47*v + 2032. Calculate 17*q(j) - 6*w(j). j - 2044 Let y(q) = q**2 + q. Let a = 3801 - 3797. Let k(i) = -19*i**2 + 2*i. Calculate a*y(x) - k(x). 23*x**2 + 2*x Let t(j) = 3*j**2 + 3 - 10*j - 6*j + 7*j - 5*j. Let k(m) be the first derivative of -m**3/3 + 5*m**2/2 - m + 19942. Calculate 17*k(h) + 6*t(h). h**2 + h + 1 Let l(g) = -5*g + 9. Let c(n) = -14*n + 26. Suppose 0 = 2*m - 4 + 16. Suppose -36*a - q = -32*a - 68, 0 = -3*a - 5*q + 51. Give a*l(o) + m*c(o). -o - 3 Let h(s) = -13*s**3 - 63*s - 6. Let c(w) = 8*w**3 + 42*w + 4. Calculate 8*c(o) + 5*h(o). -o**3 + 21*o + 2 Let w(q) = 5*q. Let m(k) be the first derivative of 3*k**2 + k + 1721. Determine 6*m(a) - 7*w(a). a + 6 Let f(a) = 46*a - 6957. Let b(p) = 61*p - 6955. What is -3*b(h) + 4*f(h)? h - 6963 Let i(s) = 8*s - 12. Let g(w) = 11*w - 18. Let q(a) = -5*g(a) + 7*i(a). Let k(o) = 7. Let t(v) = 6. Let y(f) = 5*k(f) - 6*t(f). Calculate q(d) + 6*y(d). d Let v(a) = -a**2 - a - 13. Let i(t) = -51. Let u(d) = 25. Let y(s) = -i(s) - 2*u(s). Calculate v(x) + 4*y(x). -x**2 - x - 9 Let m(u) = -43*u - 58. Let b(x) = -84*x - 105. Give -5*b(d) + 9*m(d). 33*d + 3 Let r(a) = 11*a**2 + 8*a + 6. Let y(c) = -7*c**2 - 5*c - 4. Let w(i) = -5*r(i) - 8*y(i). Let x = 9734 - 9743. Let d(h) = -5*h**2 - 9. What is x*w(j) - 2*d(j)? j**2 Let w(f) = 9 + 0*f - 4*f + 5*f + 4*f. Let p be ((-2)/(-7))/(6291/(-252) - -25). Let c(l) = -7*l - 14. Give p*w(n) + 5*c(n). 5*n + 2 Let s(p) = 5*p**3 + 7*p**2 - 105*p + 42. Let a(j) = 5*j**3 + 6*j**2 - 104*j + 35. Determine -6*a(k) + 5*s(k). -5*k**3 - k**2 + 99*k Let d(r) = -r**3 - 3*r**2 + r - 3. Let y(z) = 2*z + 1 - 2*z + 2*z - 4*z + 3*z. Give -d(f) + 2*y(f). f**3 + 3*f**2 + f + 5 Let s(r) = 4*r + 4. Let a(p) = -2*p - 2. Let c be 24/10*(-20)/(-12). Suppose -5*f - c - 6 = 0. What is f*s(h) - 5*a(h)? 2*h + 2 Let t(x) = 64*x**2 - 62*x**2 + 20 + 5*x - 10*x**2. Let w(m) = 17*m**2 - 11*m - 39. Determine -13*t(i) - 6*w(i). 2*i**2 + i - 26 Let i(b) = 61*b**2 + 2*b + 37. Let v(m) = 26*m**2 + m + 16. Let w(a) = -3*i(a) + 7*v(a). Let o(z) = -2*z**2 + z + 2. Calculate o(p) - w(p). -p**2 + 1 Let q(b) = -244*b**2 - 58*b + 10. Let z(r) = 244*r**2 + 51*r - 9. Determine -7*q(m) - 8*z(m). -244*m**2 - 2*m + 2 Let a(c) = 11181*c - 26. Let v(p) = -2798*p + 6. Calculate -2*a(x) - 9*v(x). 2820*x - 2 Let t(b) be the third derivative of -b**6/40 + 5*b**4/24 + 2*b**3/3 + 428*b**2. Let x(m) = m**3 - m - 1. Calculate t(y) + 4*x(y). y**3 + y Suppose 2*j + 3 = 15. Let p(o) = -5*o**2 + 20*o + j + 5 - 12*o. Let x(k) = 6 + 3*k - 4*k**2 - 2*k**2 + k**2 + 3*k**2 - 2. Give -3*p(q) + 8*x(q). -q**2 - 1 Let y(v) = -2*v**3 - 2*v**2 - v. Let k(a) = -a**2. Suppose -3 - 61 = 4*h - 20*h. Calculate h*k(r) - y(r). 2*r**3 - 2*r**2 + r Let g(z) = -58*z**2 - 388*z - 3. Let k(h) = 194*h**2 + 1164*h + 10. Give -10*g(i) - 3*k(i). -2*i**2 + 388*i Let u(q) = -q**2 + q. Let y(x) = -2*x**2 - 2*x - 1. Let p(c) = -9*c**2 - 8*c + 2. Let r(z) = -p(z) + 5*y(z). Calculate r(m) + 2*u(m). -3*m**2 - 7 Suppose 5*k - 2*f - 322 = -323, 12*f = 4*k - 20. Let c(m) = m + 1. Let j(t) = 4*t - 27. Give k*j(b) + 2*c(b). -2*b + 29 Let k(s) = s**3 - s**2 - s. Let b(u) = -232690 - 2*u**3 + 3*u**2 + 3*u + 0*u**3 + 232690 + 0*u**2. Suppose 0 = 3*n - 17 + 5. Determine n*b(p) + 12*k(p). 4*p**3 Suppose -6*q + 1401 = 1389. Let l(b) = -3 + 6*b**2 + 13*b**2 + 11*b**2 + 0*b**2 - 17*b**q. Let z(c) = -39*c**2 + 8. Give 8*l(i) + 3*z(i). -13*i**2 Let t(m) be the third derivative of m**4/24 - 146*m**2. Let b(f) = -15*f + 2. Calculate -b(h) + 6*t(h). 21*h - 2 Let c(i) = -4*i**2 + 7*i - 4. Let h(y) = 5*y**2 - 20*y + 29. Let n(x) = -4*x**2 + 20*x - 32. Let q(l) = -7*h(l) - 6*n(l). Determine -17*c(k) + 6*q(k). 2*k**2 + k + 2 Let s(b) = -37*b**2 - 70*b - 10. Let j(p) = 37*p**2 + 56*p + 10. Calculate 5*j(i) + 4*s(i). 37*i**2 + 10 Let a(m) = 217*m + 24. Let b(w) = 650*w + 66. What is -17*a(o) + 6*b(o)? 211*o - 12 Let m(l) = 20*l**3 + 2*l**2. Let r(b) = -b**2. Let o be ((-37)/(-555))/((-5)/75). What is o*m(j) - 3*r(j)? -20*j**3 + j**2 Let h(r) = r + 1. Let w be (-4)/(-6) - ((124 - 142) + 44/3). Let y = 1 - 0. Let s(m) = -m - 5. Calculate w*h(q) + y*s(q). 3*q - 1 Let o(g) = -3. Let x = -2 + 4. Let l(h) = 2*h - 4*h - 3 + 4 + 1 + h. Give x*o(m) + 3*l(m). -3*m Let p(a) = -67*a**3 - 14*a**2 + 6*a + 3. Let c be 2*(104/64 - (-2 - 170/(-80))). Let s(r) = 22*r**3 + 5*r**2 - 2*r - 1. Calculate c*p(d) + 8*s(d). -25*d**3 - 2*d**2 + 2*d + 1 Let g(x) = -2881*x + 18232. Let b(l) = -31*l + 196. Let t(h) = -559*b(h) + 6*g(h). Let z(a) = 1. Calculate -t(y) - 172*z(y). -43*y Let a be 9/(-15)*(-1200)/8. Let s(b) = -3*b + 18. Let h(x) = -1. Determine a*h(w) + 5*s(w). -15*w Let i(x) = 4*x - 32. Let r be i(9). Let n(p) = -p + 3 - 2 + 2 - r. Let a(d) = 1. Let k(m) = a(m) + n(m). Let j(u) = -6*u + 4. What is j(q) - 4*k(q)? -2*q + 4 Let b(s) = 7*s + 1424. Let o(f) = 4*f + 710. What is -3*b(p) + 5*o(p)? -p - 722 Let t(x) = 14547 - 14543 + 15*x - 5*x. Let k(f) = 15*f + 6. Give -5*k(p) + 7*t(p). -5*p - 2 Let p(c) = -463*c**2 - 15*c - 7. Let h(l) = 237*l**2 + 8*l + 4. What is -7*h(g) - 4*p(g)? 193*g**2 + 4*g Let f(u) = -2*u**2 - 5*u - 16. Let m(s) = -8*s**2 - 6*s + 26. Let g(n) = -5*n**2 - 4*n + 14. Let v(r) = -10*g(r) + 6*m(r). What is 4*f(o) + 5*v(o)? 2*o**2 + 16 Let j(c) = -3087*c**3 - 9*c**2 + 8*c - 45. Let o(q) = -772*q**3 - 2*q**2 + 2*q - 10. What is 2*j(y) - 9*o(y)? 774*y**3 - 2*y Let m(a) =
{ "pile_set_name": "DM Mathematics" }
) = -3*z**2 + 75*z + 3. Let v(m) = 4*m**2 - 62*m - 3. Calculate 6*p(y) + 5*v(y). 2*y**2 + 140*y + 3 Let t(x) be the second derivative of -x**4/3 - 2*x**3/3 - 5*x**2/2 - 1016*x. Let q(m) = m**2 + m + 1. Give 3*q(d) + t(d). -d**2 - d - 2 Let s(p) = 39*p + 5. Let i be 280 + -10 - ((-54)/27 - (-1 - 7)). Let b(t) = 2068*t + 264. What is i*s(d) - 5*b(d)? -44*d Let q(t) = 3*t**2 + 6*t - 8 + 1658*t**3 + 3*t**2 - 1680*t**3. Let g(r) = 21*r**3 - 5*r**2 - 5*r + 7. Calculate 6*g(b) + 5*q(b). 16*b**3 + 2 Let l(q) = 39*q**2 + 5*q + 77. Let v(a) = -103*a**2 - 14*a - 233. Determine -8*l(s) - 3*v(s). -3*s**2 + 2*s + 83 Let a(j) = -3*j**2 - 2*j - 3. Let q(d) = 2*d**2 + 2*d + 2. Suppose -4*f = -9*f - 15. Let w be ((-12)/(-48))/(((-9)/48)/f). Give w*a(g) + 5*q(g). -2*g**2 + 2*g - 2 Let t(b) be the first derivative of -b**4/4 - b**3/3 + b**2/2 - 2. Let d(v) = -5*v**3 - 3*v**2 + 2*v - 2. Let f = 7907 - 7905. Give f*t(u) - d(u). 3*u**3 + u**2 + 2 Let n(v) = -10*v**2 + 4*v. Let r(f) = -5*f**2 + 6*f - 2. Let t(d) = 60*d**2 - 78*d + 27. Let a(z) = -27*r(z) - 2*t(z). Calculate 5*a(j) + 7*n(j). 5*j**2 - 2*j Let x(n) = 4*n + 3. Let o(z) = -3130 - 3*z + 1589 + 1537. What is 5*o(u) + 6*x(u)? 9*u - 2 Let n(j) be the first derivative of 5*j**4/4 - 5*j**2/2 - j - 62. Let v(r) be the first derivative of -2*r**4 + 7*r**2/2 + r + 4. Determine -7*n(f) - 5*v(f). 5*f**3 + 2 Let u(j) = 106*j**3 - 25*j**2 + 7*j - 95*j**2 + 7 + 113*j**2 + 43*j**3. Let n(r) = -99*r**3 + 5*r**2 - 5*r - 5. Calculate 7*n(l) + 5*u(l). 52*l**3 Let h(s) = s**3 - 9*s**2 + 7*s + 7. Let v be h(7). Let u(a) = -1. Suppose 464*z - 638 = 462*z. Let t(m) = -7 - 635*m + 317*m + z*m. Calculate v*u(o) + 6*t(o). 6*o Let o(b) = -51*b - 3. Let g(v) = -20*v + 3*v + 0*v - 4 + 3. What is -8*g(d) + 3*o(d)? -17*d - 1 Suppose 0*t - t = -20. Let p(l) be the second derivative of -3*l**5/5 - l**4/4 - 3*l**2/2 - 6006*l. Let j(y) = 84*y**3 + 20*y**2 + 20. What is t*p(x) + 3*j(x)? 12*x**3 Let i(t) = 98*t**2 - t + 2. Let y(x) = -390*x**2 + 5*x - 8. Give -9*i(f) - 2*y(f). -102*f**2 - f - 2 Let w be 17/3 + 3/9 - 3. Let o(c) = -15*c + c**2 - w + 5 + 19*c. Let k(r) = r**2 + 5*r + 2. Let s be -2 - -4 - (7 - 1). What is s*k(t) + 5*o(t)? t**2 + 2 Let n(o) = 138*o - 4. Let b(u) = 23*u - 1. Determine 3*b(w) - n(w). -69*w + 1 Let u(t) = 31*t. Let j be 2/(-2)*(-1 + 12). Let i(m) = 3*m - m + 3*m + m. Let c = -247 + 249. Calculate c*u(f) + j*i(f). -4*f Let d = -1730 + 1728. Let y(s) = 4*s**3 + 4*s**2 - 2*s + 3. Let r(g) = -g**2 + g - 1. What is d*r(h) - y(h)? -4*h**3 - 2*h**2 - 1 Suppose 0 = 2*h - 4*v + 6, -3*v = -2*h + 4*h - 22. Let a(y) = 1 + 3*y - h*y + 3*y + y. Let f(i) = 6*i + 4*i + 4 - 2 + 2. Give -11*a(w) + 2*f(w). -2*w - 3 Let h(z) = -2*z**2 + z - 1. Let p(b) = 11*b**2 - 9*b + 283. Calculate -6*h(n) - p(n). n**2 + 3*n - 277 Let h(k) = 3*k - 803. Let l(r) = -r + 802. Determine -2*h(v) - 3*l(v). -3*v - 800 Let h(g) be the first derivative of -g**4/2 - g**3 - 5*g**2/2 - 9*g + 303. Let v(a) = a**2 + a + 1. What is -h(m) - 3*v(m)? 2*m**3 + 2*m + 6 Let b(d) be the third derivative of -5*d**4/24 + d**3/6 - 6*d**2. Suppose 352 = 22*p + 22*p. Let g(q) = -14*q + 2. Give p*b(w) - 3*g(w). 2*w + 2 Let v(g) = 3*g**3 - g**2 + g + 4. Let c(w) = -8*w**3 - 4*w + 158. What is c(j) + 2*v(j)? -2*j**3 - 2*j**2 - 2*j + 166 Let m(y) = y**3 + y**2 - y - 4. Let j(h) = -56*h**3 + 2*h**2 - 3*h - 20. Give -j(r) + 3*m(r). 59*r**3 + r**2 + 8 Let v = 46 + -49. Let i(x) = x. Let n(w) = -32*w + 2 + 13*w + 17*w. Give v*i(r) - n(r). -r - 2 Let i(j) = -10*j + 3. Let w(r) be the third derivative of -5/24*r**4 + 2*r - 57*r**2 + 1/3*r**3 + 0. Give -4*i(z) + 7*w(z). 5*z + 2 Let b(o) = 2 + o**2 + 2*o + 3*o**2 - 6*o**2. Let c(l) = -3*l**2 + 3*l + 2. Let g be (-1)/((-77)/(-28))*(-25 - -14). What is g*c(x) - 5*b(x)? -2*x**2 + 2*x - 2 Let c(b) be the second derivative of -b**4/12 - 7*b**3/6 + 5*b**2/2 - b - 41. Let q(r) = r - 1. What is -c(y) - 6*q(y)? y**2 + y + 1 Let h(n) = -3*n**2 - 23*n**3 + 7*n**3 + 15*n + 4 - n**2 + 9*n**3 + 12*n**3. Let l(a) = -a**3 + a**2 + a - 1. Calculate h(o) + 4*l(o). o**3 + 19*o Let p(n) = 3*n**2 + n - 3. Let w(b) = 11*b**2 - 14*b - 19. Let l(x) = -10*x**2 + 19*x + 20. Let h(a) = -4*l(a) - 5*w(a). What is -2*h(d) - 11*p(d)? -3*d**2 + d + 3 Let k(j) = 5*j + 4. Let q(s) = -978*s + 63. Determine -15*k(t) + q(t). -1053*t + 3 Let o(k) = -5*k + 2. Let h(g) = 21*g - 8. Let v = -15542 + 15533. What is v*o(d) - 2*h(d)? 3*d - 2 Let l(h) = -2*h**3 - 2. Let a(t) = -33*t**3 - 4 - 3*t - 19*t**3 + 46*t**3. Let j(y) = -12*y**3 - 5*y - 9. Let r(u) = -5*a(u) + 3*j(u). Give 14*l(w) - 4*r(w). -4*w**3 Let z(k) = 8*k**2 - 6*k - 8. Let t(w) = 3*w**2 - 2*w - 3. Suppose -2*f = -14*f - 557 + 605. Give f*z(d) - 11*t(d). -d**2 - 2*d + 1 Let x(z) = z - 6 + 2*z**3 + 7*z**2 - 3*z**3 + 0*z**3 - 8*z**2. Let o(c) = -5. Let b(f) = 8. Let t(h) = -2*b(h) - 3*o(h). Calculate 6*t(g) - x(g). g**3 + g**2 - g Suppose 0 = 9*p - 6 - 3. Let t be ((-8)/4 - -5) + p*-6. Let m(h) = 1. Let o(n) = 4*n - 14. Give t*o(s) - 42*m(s). -12*s Let j(x) = -1975*x + 18. Let y(t) = 397*t - 4. Determine 3*j(v) + 14*y(v). -367*v - 2 Let t(j) = 8*j - 114. Let k be t(16). Let l(f) = 38277*f - k - 21*f**2 - 38277*f. Let c(g) = 4*g**2 + 3. Determine -14*c(d) - 3*l(d). 7*d**2 Let x(r) = -9*r + 4. Let s(z) = 26*z - 11. Suppose 321 = 18*n - 111. Suppose -81*w + n = -78*w. Give w*x(k) + 3*s(k). 6*k - 1 Let a(b) = -481*b**2. Let g(q) = 32*q**2. Suppose 103*l - 195 = 64*l. Give l*a(v) + 74*g(v). -37*v**2 Let s(y) = -69*y**2 - 11*y - 3. Let c(g) = 218*g**2 + 34*g + 10. What is -5*c(n) - 16*s(n)? 14*n**2 + 6*n - 2 Let h(m) = -1526*m**3 - 22*m + 2. Let l(q) = -q**3 + 22*q - 2. What is -4*h(w) - 4*l(w)? 6108*w**3 Let s(g) = -1. Let m(c) = -c**3 + 5*c**2 + c - 4. Let h be m(5). Let p(y) be the second derivative of -y**3/2 - 2*y**2 - 30050*y. Give h*p(r) - 3*s(r). -3*r - 1 Let q(w) = 13*w**3 + w + 5. Let m(i) = -6*i**3 - i - 2. Suppose -12 - 3 = -0*n - 3*n. Determine n*m(j) + 2*q(j). -4*j**3 - 3*j Let t(q) = 176*q + 28*q**3 - 3*q**2 - 9 + 165*q - 346*q. Let j(r) = 14*r**3 - r**2 - 2*r - 4. Determine -5*j(y) + 2*t(y). -14*y**3 - y**2 + 2 Let z(u) = 25*u + 7. Let d(k) be the third derivative of -25*k**4/24 - 4*k**3/3 + 17*k**2 - 2. What is 5*d(m) + 6*z(m)? 25*m + 2 Let h(d) = d**2 + 1. Let f(i) = 18*i**3 - 4*i**2 - 4. What is -3*f(m) - 12*h(m)? -54*m**3 Let x(l) = l**3 - 5*l**2 - 8*l + 1. Let f(t) = 14842*t**3 - 4305*t**2 - 6888*t + 861. What is 2*f(r) - 1722*x(r)? 27962*r**3 Let u(w) = w**3 + w + 2. Let v(r) = -12*r**3 + 6*r**2 + 8*r + 2. Determine u(x) - v(x). 13*x**3 - 6*x**2 - 7*x Let b(j) = 96*j**3 + j**2 + 10*j + 1. Let f(n) = -97*n**3 - 2*n**2 - 12*n - 1. Determine 6*b(r) + 5*f(r). 91*r**3 - 4*r**2 + 1 Suppose -4*w + 0*w = -80. Let p(i) = 2. Let b(l) = -5. Let f(j) = 3*b(j) + 8*p(j). Suppose 207 = 62*d + 331. Let a(u) = 2*u + 10. Determine d*a(z) + w*f(z). -4*z Let j(l) = 31*l**3 + 9*l**2 - 13*l + 49. Let u(g) = -16*g**3 - 5*g**2 + 7*g - 27. Calculate 8*j(o) + 15*u(o). 8*o**3 - 3*o**2 + o - 13 Let g(h) = -13*h + 2*h**3 - 1637*h**2 + 0*h + 1641*h**2 + 0*h. Let s(m) = -2*m**3 - 3*m**2 + 12*m. Determine 6*g(c) + 7*s(c). -2*c**3 + 3*c**2 + 6*c Let m(r) be the second derivative of -7*r**3/6 - 5*r**2/2 + r. Let i(v) = 3*v + 3. Let q(g) = -55*g - 2. Let l be q(0). Determine l*m(p) - 5*i(p). -p - 5 Let n(t) = 13*t - 169. Let i be n(13). Let r(b) = -6*b**3 + 8 + 6 - 13 + i + 8 + 2*b**2. Let f(d) = 9*d**3 - 3*d**2 - 13. Determine 5*f(w) + 7*r(w). 3*w**3 - w**2 - 2 Let i(a) = -32*a**2 + a - 1. Let w(u) = 37*u**2 - 1128*u + 1. Determine -i(b) - w(b). -5*b**2 + 1127*b Let j(r) be the second derivative of r**4/2 + 3*r**3/2 - 3919*r. Let o(n) = -3*n**2 - 4*n. Give 4*j(d) + 9*o(d). -3*d**2 Let u(k) = -8*k + 5. Let i be (1*-1)/((-1)/(-11)). Let s be (-66)/16 + (-6)/48*-1. Let f(d) = 7*d - 4*d + 0*d - 2. Give i*f(q) + s*u(q). -q + 2 Let t(c) = c - 3. Let p(u) = 8*u - 208. What is -p(y) + 6*t(y)? -2*y + 190 Let m(s) = 2605*s. Let h(a) = -2606*a + 1. Calculate -2*h(d) - 3*m(d). -2603*d - 2 Let h(r) = -10*r - 12. Let k(v) = 7*v + 7. Give 5*h(q) + 8*k(q). 6*q - 4 Let g(t) = -t**3 + 967*t**2 - 6*t - 12. Let n(b) = b**3 + 2*b + 4. What is -g(u) - 3*n(u)? -2*u**3 - 967*u**2 Let v(q) = 5*q**2 + 15*q - 13. Let i(h) be the first derivative of 2*h**3/3
{ "pile_set_name": "DM Mathematics" }
of f(n) wrt n? 100*n**3 Let q = -3/184 - -4/69. Let h(j) be the third derivative of q*j**4 + 0*j**3 + 0*j + 1/60*j**5 + 0 + 2*j**2. Find the second derivative of h(u) wrt u. 2 Let w = 11 - 3. What is the third derivative of 7*t**2 + 2 - 2 + w*t**6 - 2*t**6 wrt t? 720*t**3 Let w(d) = -d - 7. Let r be w(-10). Let i be ((-2)/3)/((-4)/18). Find the second derivative of 2*k**r - 2*k**i - k**5 - k wrt k. -20*k**3 Suppose f = -3*u + 8 - 3, -5*u = 2*f - 10. Find the second derivative of u*p**3 - 2*p**3 + p + 0*p wrt p. -12*p Let r = -19 + 21. Find the second derivative of 7*i**4 + r*i - 3*i + 3*i - 3*i wrt i. 84*i**2 Let b(i) = -51*i**3 + 5*i - 31. Let q(a) = -25*a**3 + 3*a - 16. Let p(m) = 3*b(m) - 5*q(m). Differentiate p(x) with respect to x. -84*x**2 Suppose o - 5 + 1 = 0. Suppose -o*g - 6 = -6*g. What is the second derivative of 5*a + 0*a + a**g - 4*a wrt a? 6*a Let r(l) be the third derivative of l**9/15120 - l**7/2520 - l**5/30 + l**2. Let a(u) be the third derivative of r(u). Find the second derivative of a(j) wrt j. 24*j Find the second derivative of 40*r**2 + 30*r**2 + 32*r**2 + 15*r - 99*r**2 wrt r. 6 Differentiate 0 - 8 - 11*m**4 - 3 - 2 wrt m. -44*m**3 Suppose 0 = -4*x - x + 20. Let t = 1 - -1. What is the first derivative of -2 + x + r**t - 3 wrt r? 2*r Let m = -6 - -10. What is the second derivative of 12*o - 9*o + o**4 - 4*o**m wrt o? -36*o**2 What is the second derivative of -6*n**2 + 21*n**2 - 6*n**2 + 11*n - 7*n**2 wrt n? 4 What is the first derivative of 4 - 19*n - 7*n - 23 wrt n? -26 Suppose -5*m - 10 = 0, -2*x + 4 = -0*x + 2*m. Suppose 0*y - 33 = -4*s - 5*y, 0 = 5*s - y - 5. Find the first derivative of -v + x*v**s + 2 + v wrt v. 8*v Let c(r) = 6*r**2 + 3*r. Let z(h) = h**2 - h**2 - 9*h**2 - 2*h - 3*h. Let d(j) = -7*c(j) - 5*z(j). Find the second derivative of d(y) wrt y. 6 Let t(o) be the third derivative of -o**7/420 - o**5/60 - 2*o**3/3 - 3*o**2. Let f(b) be the first derivative of t(b). Find the second derivative of f(n) wrt n. -12*n Let s(q) = 3*q**5 - 2*q**3 + q. Let k(i) = -i**5 + i**4 - i**3. Let d(p) = -4*k(p) + 2*s(p). Find the second derivative of d(l) wrt l. 200*l**3 - 48*l**2 Suppose -8 - 27 = -5*a + 5*r, 25 = -5*r. What is the third derivative of a*y**4 + 4*y**2 - 4*y + 4*y + 4*y**4 wrt y? 144*y What is the third derivative of -4*r**2 + 2*r**5 + 2*r**5 + 3*r**5 wrt r? 420*r**2 Let m(x) be the second derivative of 0*x**2 + 0 - 1/14*x**7 + 0*x**6 + 0*x**5 + 3*x + 1/2*x**3 + 0*x**4. Find the second derivative of m(y) wrt y. -60*y**3 Let k(o) be the second derivative of o**8/3360 + o**6/240 - o**4/12 + o. Let a(x) be the third derivative of k(x). Find the second derivative of a(r) wrt r. 12*r Suppose 2*w = c + 8 - 0, -5 = -5*c + w. What is the third derivative of 163*u**c + 0*u - 3*u**3 + 0*u - 155*u**2 wrt u? -18 Let q(x) = -4*x. Suppose 2*y - 6*o + 8 = -o, 2*y - 6 = -2*o. Let s(h) = h**3 - h. Let z(c) = y*q(c) - 5*s(c). Find the second derivative of z(d) wrt d. -30*d Find the first derivative of 3*p - 7*p - p + 59 - 68 wrt p. -5 Let a(z) be the third derivative of z**7/70 + z**5/30 + 9*z**2. What is the third derivative of a(w) wrt w? 72*w Suppose -3*f + 10 = -f. Let z = 0 + 0. Find the second derivative of -2*j + j - 2*j**5 - j**f + z*j wrt j. -60*j**3 Let g(l) = l - 1. Suppose 0 = -r - 0*r - 3. Let s(k) = -k + k + k + 0. Let x(i) = r*s(i) + 2*g(i). Differentiate x(h) wrt h. -1 Differentiate 1 - d**3 - 4 + d**3 - 2*d**3 with respect to d. -6*d**2 Let h(l) = -20*l**5 - 6*l**3 - 6*l**2 - 4*l - 6. Let k(s) = -s**5 + s**3 + s**2 - s + 1. Let v(d) = -h(d) - 6*k(d). Find the second derivative of v(r) wrt r. 520*r**3 Let g = -10 - -9. Let u(d) be the second derivative of d**3/6 + d. Let j(x) = -x + 1. Let h(m) = g*u(m) + j(m). Find the first derivative of h(o) wrt o. -2 Let i(l) be the second derivative of -29*l**3/6 + 20*l**2 + 37*l + 1. What is the first derivative of i(d) wrt d? -29 Let k(x) be the second derivative of -x**4/3 - 2*x**3/3 - 3*x. Find the second derivative of k(v) wrt v. -8 Suppose -14 = -2*t + 4*t. Let x(m) = -m**3 - 7*m**2. Let b be x(t). Find the third derivative of -c**2 + c**3 + 0*c + b*c wrt c. 6 Let r(w) = -4*w**2 + 6*w + 2. Let y(n) = 9*n**2 - 13*n - 4. Suppose 0 = -4*o - 12 + 36. Let v(b) = o*y(b) + 13*r(b). Find the first derivative of v(q) wrt q. 4*q Let d(m) be the third derivative of -m**6/120 - m**5/40 + m**3/2 + m**2. Let y(l) be the first derivative of d(l). Find the second derivative of y(q) wrt q. -6 Let a(m) be the second derivative of m**8/112 + m**5/60 + m**2/2 + m. Let v(t) be the first derivative of a(t). What is the third derivative of v(k) wrt k? 180*k**2 Let g(a) be the second derivative of a**9/1512 + a**7/2520 - a**4/2 - 9*a. Let u(c) be the third derivative of g(c). What is the third derivative of u(w) wrt w? 240*w Let n(x) = x**4 - x**2 - x + 1. Let u(r) = 5*r**4 + 2*r**2 + 2*r - 17. Let o(f) = 2*n(f) + u(f). What is the derivative of o(m) wrt m? 28*m**3 Let d = -12 + 17. Suppose -4*a - 3*t = -0*a - 5, -2*a - 1 = d*t. What is the second derivative of 1 - a*o**3 + o - 1 wrt o? -12*o Find the second derivative of -3*c**5 + 16*c**5 + 11*c**5 + 4*c + 13*c wrt c. 480*c**3 Let c(t) = -t**3 + 3*t**2 + t + 2. Let r be c(3). Suppose -2*x + z - 1 = -4*z, 0 = -r*z + 5. Differentiate 0*u**2 + 1 + 3*u**x - u**2 wrt u. 4*u Let c(v) = v**4 - v**3 + v**2 + v. Let b(o) = 6*o**4 - 5*o**3 + 29*o**2 + 5*o. Let z(t) = b(t) - 5*c(t). What is the third derivative of z(r) wrt r? 24*r Let c(w) = 23*w**3 + 4*w**2 - 4*w - 9. Let r(u) = -22*u**3 - 5*u**2 + 5*u + 10. Let t(l) = 5*c(l) + 4*r(l). What is the derivative of t(y) wrt y? 81*y**2 Find the third derivative of -7*j**3 - 2*j**2 + 2*j**2 - j**3 - j**2 wrt j. -48 Differentiate 5*v + 24 + v + 0*v - v with respect to v. 5 Let p(m) = -1 + m - 6*m + m**2 + m + 5*m. Let x(h) = 2*h**3 + 4*h**2 + 4*h - 7. Let s(f) = 4*p(f) - x(f). What is the derivative of s(n) wrt n? -6*n**2 Let g(t) = -17*t**2 - 7*t + 8. Let w(o) = -6*o**2 - 2*o + 3. Let m(y) = -4*g(y) + 14*w(y). What is the first derivative of m(u) wrt u? -32*u Let k(q) = -q + 9. Let n be k(4). Find the third derivative of -p**2 - n*p**6 + 0*p**2 + 0*p**2 - 2*p**2 wrt p. -600*p**3 Let o(a) = a**2 - 3. Let c be o(-3). Find the second derivative of c*t + 5*t**4 - 6*t - 4*t wrt t. 60*t**2 Let i(s) be the first derivative of s**6/30 - 5*s**2/2 + 4*s + 2. Let y(f) be the first derivative of i(f). What is the derivative of y(o) wrt o? 4*o**3 Find the second derivative of -29*l - 3*l**2 - 2 + 26*l + 3*l**2 + 37*l**5 wrt l. 740*l**3 Let c(r) be the first derivative of 31*r**4/4 + 19*r**2 - 27. Find the second derivative of c(q) wrt q. 186*q Let u = 22 + -18. Differentiate 0*r**4 + 4 - r**u + 0*r**4 with respect to r. -4*r**3 Let b be (-21)/(-35)*(1 + 4). Find the first derivative of -b*x**4 - 3 + 8*x**4 + 2 - 2 wrt x. 20*x**3 Let v(y) be the second derivative of 0*y**4 + 0*y**3 - 3/2*y**2 + 0*y**5 + 0 + 4*y - 1/30*y**6. Differentiate v(r) wrt r. -4*r**3 Let i = 17 - 12. Find the first derivative of 0 - d**4 - 1 + 3 + i wrt d. -4*d**3 Let r(d) be the second derivative of 0*d**4 + d - 1/2*d**3 + 0 + 0*d**2 + 3/20*d**5. Find the second derivative of r(g) wrt g. 18*g Let b(g) = g**5 - 5*g**4 - 5*g**3 + 5*g**2 - 5. Let k(n) = -n**5 - n**4 - n**3 - 1. Let s(x) = b(x) - 5*k(x). Find the third derivative of s(m) wrt m. 360*m**2 Let z(t) be the first derivative of -t**6/30 - 2*t**3/3 - 4*t - 3. Let u(q) be the first derivative of z(q). What is the second derivative of u(d) wrt d? -12*d**2 Suppose -3*k = -2*k + 3*m + 8, -3*m = 5*k - 8. Suppose 4*o = -4*u + u + 19, o = u + 3. What is the derivative of 0*a**o + 2 - 4*a**k + 2*a**4 wrt a? -8*a**3 Let y(i) be the second derivative of -5*i**4/12 - 7*i**3/3 + 4*i. Find the second derivative of y(s) wrt s. -10 Find the second derivative of -5*y + y**5 + 7*y**4 - y - 7*y**4 wrt y. 20*y**3 Let m(b) be the second derivative of -9*b**8/28 - 4*b**4/3 + 28*b. Find the third derivative of m(f) wrt f. -2160*f**3 What is the second derivative of 13*y**5 + 28 - 28 + 17*y wrt y? 260*y**3 Let j(x) = -4*x**2 - 7*x + 3. Let z(v) = -v**2 - v + 1. Let t(o) = j(o) - 5*z(o). Let p be t(3). Differentiate 3 + u**2 - 6 + p wrt u. 2*u Let p(j) be the first derivative of -j**4/8 - 5*j**3/6 + 3*j**
{ "pile_set_name": "DM Mathematics" }
- 4. Let p be (-126)/36 + (-1)/(-2). Let u be w(p). Let c = u - -8. Calculate the remainder when c is divided by 7. 6 Suppose 0 = -3*z + 3*g + 429, 214 = z - 4*g + 47. Calculate the remainder when 136 is divided by z. 1 Suppose -2*n = -3*j - 19 + 3, -4*n = j - 32. Suppose 0 = -43*i + 4*i + 624. Suppose -i*a + 120 = n. Calculate the remainder when 46 is divided by a. 4 Suppose 1394 - 986 = 24*w. Suppose -4*j + 6*j - 12 = 2*v, -v - 12 = -3*j. Calculate the remainder when v/(-1*9/348) is divided by w. 14 What is the remainder when 4178 is divided by (2/6*82)/(27/((-486)/(-12)))? 37 Suppose 5*o - c - 855 = 0, 24*c = 23*c + 5. Suppose 96 = l - 5*i, 5*l + 4*i - 287 - 164 = 0. What is the remainder when l is divided by -3 - (o/(-4) + 9)? 29 Let f(c) = -6*c**2 + 357*c - 69. Calculate the remainder when f(43) is divided by 131. 127 What is the remainder when 222 is divided by (2530/88)/((-3)/(-17 - -5))? 107 Let c = 1176 - 472. Suppose 456 = 20*f - c. Let u = 538 + -366. Calculate the remainder when u is divided by f. 56 Let l = -18 - -21. Calculate the remainder when 16/10 + -2 + 21476/140 is divided by 25 + 4 + (-9)/l. 23 Calculate the remainder when (15/(-75))/((-3)/12378) + 1/(-5) is divided by 95. 65 Let t = -576 - -576. Suppose -d + 1 = c, t = -16*c + 14*c - d + 7. Calculate the remainder when 38 is divided by c. 2 Let j = 20030 - 19391. Calculate the remainder when j is divided by 66. 45 Let j = -2911 + 2925. Calculate the remainder when 365 is divided by j. 1 Suppose 4*p - 5*s = -11, -p - s + 6 = 2*p. Let d(x) = -5*x**2 - x. Let a be d(p). What is the remainder when 143 is divided by ((-3)/(-6))/(2/a)*-16? 23 Let i be (0*(-2)/(-8))/(-1). Suppose i = -16*s + 13*s - 3*h + 3, h = -4. What is the remainder when 16 is divided by s? 1 Let f = -5435 - -10744. Calculate the remainder when f is divided by 16. 13 Let f(w) = 2*w**2 + 24*w**2 - 28*w**2 + 34*w**2 + 3 - 3*w. What is the remainder when f(1) is divided by 6? 2 Let w = -2268 - -2378. What is the remainder when w is divided by 29? 23 Let z = 13498 + -12726. What is the remainder when z is divided by 23? 13 Suppose -3*u - 85 = -k - 35, 54 = k + u. Suppose -r + 6*r - 70 = 0. Calculate the remainder when k is divided by r. 11 Let r(t) = 200*t - 206. Let n be r(4). Suppose -14*a - n = -25*a. What is the remainder when 158 is divided by a? 50 Suppose 26*b + 15*b = -0*b + 7954. Calculate the remainder when b is divided by 31. 8 Suppose -49 = 31*m - 38*m. What is the remainder when 1019 is divided by m? 4 Suppose -2*t + 3*i - 61 = 0, 5*t + 2*i + 85 = 2*t. What is the remainder when 193 is divided by (10/2)/(29/t) + 36? 7 Let y be ((-34)/(-68))/(1/(-10)*1). Let i(c) = -c**3 - 3*c**2 + 6*c - 1. What is the remainder when 49 is divided by i(y)? 11 Let l(v) = -2*v + 58. Suppose 0 = 99*a - 96*a - 141. What is the remainder when l(-11) is divided by a? 33 Let y(s) = -s**2 - 9*s + 1. Suppose 0 = -2*c - 10, 35*h + 1690 = 40*h + 2*c. Calculate the remainder when h is divided by y(-8). 7 Let v = -606 + 1120. Suppose 2*b + v = 548. What is the remainder when b is divided by 5? 2 Let v be 3/(4 + 15/(-6)). Let s(w) = -5*w + 13 - w + w**v - 61. Calculate the remainder when 9 is divided by s(11). 2 Let g(x) = -x - 6. What is the remainder when 172 is divided by g(-67)? 50 Let v be ((-8)/(-14))/(-2) - 1404/(-63). What is the remainder when 47 is divided by ((-1)/2 - 0)*(6 - v)? 7 Let d be (9 - (-4)/(-4))*8. Let x = d + -63. Calculate the remainder when (10/20)/(x/76) is divided by 20. 18 Let i be -1 + 4 - (2 - (0 - 3)). Calculate the remainder when 10 - (3 - -11)/i is divided by 2. 1 Let t(g) be the second derivative of -5*g**3/6 + 161*g**2/2 + 74*g - 2. What is the remainder when t(22) is divided by 18? 15 Let z(g) = -24*g + 95. Let c(t) = 21*t - 95. Let a(u) = -6*c(u) - 5*z(u). Calculate the remainder when a(-18) is divided by 12. 11 Suppose -337*f = 5*d - 333*f - 1428, -2*d = -3*f - 539. Calculate the remainder when d is divided by 7. 0 What is the remainder when 116/(-406) + 5550/21 is divided by 256? 8 Let o be -5*(1/1*-6)/(-5). Let b be (-1 - -1)/(1/(-1)). What is the remainder when 18 is divided by ((-15)/o - b)*(-16)/(-4)? 8 Let k = 330 + -656. Let q = k - -337. What is the remainder when 97 is divided by q? 9 Suppose -80 = -3*f + 43. What is the remainder when 0 + 413 - -28*(-245)/1372 is divided by f? 39 Let k = -30 + 38. Suppose -68 = -12*c + k*c. Let p = -314 + 345. Calculate the remainder when p is divided by c. 14 Let s(h) = 96*h**2 - 73*h - 1. What is the remainder when 210 is divided by s(1)? 12 Let c(q) = -46*q + 23. Let p be c(2). What is the remainder when 131 is divided by (p/(-15))/((-1)/(-10))? 39 Suppose 0 = -3*a - 4*a - 483. Suppose 4*h + 5*t - 45 = 3*h, -t - 46 = -2*h. Calculate the remainder when 894/(-4)*46/a is divided by h. 24 Suppose -2809*z - 144690 = -2844*z. What is the remainder when z is divided by 46? 40 Let z = 1474 - 1016. Calculate the remainder when z is divided by 43. 28 Suppose 0 = 18*u + 19411 + 45407. Calculate the remainder when 1 + (u - -1)/(-8) is divided by 76. 71 Let z(f) = -295*f + 1904. Calculate the remainder when z(5) is divided by 62. 57 Let w(y) = 2*y**3 - 1. Let r(j) = j**3 + 50*j**2 + 165*j - 712. Calculate the remainder when r(-46) is divided by w(2). 12 Let n be 7 + (-16)/4 - 0/3. Suppose 12*k - 150 = -n*k. What is the remainder when (18/(-24))/((-1)/92) is divided by k? 9 Suppose 5*w = w + 60. Calculate the remainder when (-6)/60 + 59081/110 is divided by w. 12 Suppose 55*x - 17762 - 65138 = 8950. Calculate the remainder when x is divided by 56. 46 Let h = 9724 - 9687. Let x = 1298 + -709. What is the remainder when x is divided by h? 34 Let b(r) = -314*r - 2738. Suppose -5*k = 4*y - k - 116, -3*k - 123 = -4*y. What is the remainder when b(-9) is divided by y? 28 Suppose 4*n + 9 = -75. Let q be (-55)/(-35) - 9/n. Let g(i) = i**3 + i**2 - 5*i + 5. What is the remainder when 24 is divided by g(q)? 3 Let m(d) = 2*d**3 + d**2 - 12*d + 86. What is the remainder when m(5) is divided by 103? 95 Suppose 7*p = -6*p + 221. What is the remainder when 43 is divided by ((-6)/(-4))/(p/170)? 13 Suppose 4*n = -5*r + 241, n - 17 - 32 = -5*r. Calculate the remainder when 180 is divided by n. 52 Let r(z) = -z**2 - 12*z + 25. Let j = 14 + -18. Let o(p) = p - 9. Let k be o(j). Calculate the remainder when r(k) is divided by 3. 0 Let f = 1405 + 1820. What is the remainder when f is divided by 12? 9 Let u = -422 + 427. Calculate the remainder when 70 is divided by u*24/20 + 5. 4 Let z(k) = -k**2 - 7*k + 13. Let b be z(-8). Suppose 3*t + 110 = 8*t - 5*j, b = -j. Calculate the remainder when 75 is divided by t. 7 Suppose 0 = 4*y + 4*b - 32, 0 = -y + 3*b - 1 - 3. Suppose -5*u - 688 = -14*l, 4*l - 49*u + 54*u = 158. Calculate the remainder when l is divided by y. 2 What is the remainder when (-15549)/(-30) - 159/530 is divided by 1? 0 Let x(a) = 111*a**2 + 6*a + 70. Calculate the remainder when x(-6) is divided by 18. 16 Suppose 25*m - 294 = -17*m. Suppose 1089 = m*a + 144. What is the remainder when a is divided by 14? 9 Let j(u) = 23*u**2 - 274*u - 1389. Calculate the remainder when 3892 is divided by j(-5). 0 What is the remainder when 654 is divided by 27*(-59 + 60 + 2*2)? 114 Suppose 36 + 32 = 4*x. Calculate the remainder when 693/(2 + 5) - 2 is divided by x. 12 Calculate the remainder when (216/32 - 12)/(9/(-264)) is divided by -1 - -5 - (4 - 6). 4 Let u(s) = 2*s**3 - s**2 - 7*s + 3. Let a be u(5). Suppose -3*b + 2*q = q - a, -5*b + 2*q + 322 = 0. What is the remainder when b is divided by 11? 9 Let v be ((-33)/22)/((-12)/(-1088)). Let y = -115 - v. Calculate the remainder when 73 is divided by y. 10 Let l = -2196 - -3452. Calculate the remainder when l is divided by 97. 92 Suppose 2*q - 72 = 5*p, -60*q - 5*p - 118 = -63*q. Calculate the remainder when 3356 is divided by q. 44 Suppose 6*a = 622 + 434. Let m = -136 + a. Calculate the remainder when m is divided by 15. 10 Suppose p + 2*p + 2759 - 7691 = 0. Calculate the remainder when p is divided by 47. 46 Suppose -588 + 1341 = 3*c - 1755. What is the remainder when c is divided by 75? 11 Suppose -2*k - 738 = -5*l, -3*l + 454 = -44*k + 40*k. What is the remainder when l is divided by 61? 24 Let i = -45 + 51. Let r = -201 - -
{ "pile_set_name": "DM Mathematics" }
te the greatest common divisor of f and 72. 18 Let y be 4/6 - (-40)/(-6). Let c be 28/y - (-8)/12. Let j be 104/10 - c/(-10). What is the highest common factor of 10 and j? 10 Let x(v) = -4*v - 2*v**3 + v**3 - 3*v**2 + 4 + 11*v. Let a be x(-5). Let z be (a/(-2))/(3/(-66)). Calculate the greatest common factor of 19 and z. 19 Let v = 203 - 123. Calculate the greatest common factor of 32 and v. 16 Suppose 64 = 4*h + 4*r, 5*h = -6*r + 2*r + 82. Let d = h - 7. What is the highest common divisor of 22 and d? 11 Suppose -2*u + 3*j = 11, 8*j = -u + 3*j + 27. Suppose -u - 6 = -2*c. Suppose 10 + 6 = c*y. Calculate the highest common factor of 20 and y. 4 Suppose -2*w = -2*g - 2*g - 230, -5*w + 2*g = -599. What is the greatest common factor of w and 11? 11 Let b(m) be the second derivative of 0 - 1/3*m**3 + 2*m + 1/12*m**4 - 5/2*m**2. Let x be b(5). What is the highest common factor of 80 and x? 10 Suppose 7 + 5 = 4*p. Let j be -2 - (p + 580/(-4)). Calculate the highest common factor of 56 and j. 28 Suppose 0 = -2*c + j + 27, -2*j = -0*c + 4*c - 42. Calculate the highest common factor of 4 and c. 4 Let o(m) = m**2 - m - 1. Let u be o(-1). Let h = -23 + 24. Let c be 2*(3 - u)/h. Calculate the greatest common factor of 36 and c. 4 Let v(w) = 5*w - 4. Let q be v(16). Suppose 21*z + q = 25*z. Calculate the greatest common divisor of 38 and z. 19 Suppose -3*x + 540 = 9*x. What is the highest common divisor of x and 10? 5 Let b(y) = -704*y. Let i be b(-2). Let x = i + -328. Suppose 4*v - x = -v. What is the greatest common factor of v and 24? 24 Let j(o) = -o**2 - 3*o - 2. Let t be j(-2). Let g = 6 - t. Let p be 1 + ((-7)/(-1) - -1). What is the highest common divisor of p and g? 3 Suppose 3*n - 95 = l + 122, 67 = n + 5*l. Suppose c = -c - 4. Let h = c - -11. What is the greatest common factor of n and h? 9 Let z(b) = 13*b**2. Let t be z(-1). Let n(s) = -5*s**3 + s**2 + 3*s + 1. Let k be n(-2). Calculate the highest common factor of k and t. 13 Let d be ((-18)/4)/((-3)/20). Let z = 47 + 28. Calculate the highest common divisor of z and d. 15 Suppose 5*h - 63 = 117. What is the greatest common factor of h and 24? 12 Let d = 80 - -4. Calculate the highest common factor of 24 and d. 12 Suppose -2*y + d - 1 = -4, 3*d - 15 = 0. Calculate the highest common divisor of y and 32. 4 Let m be 91 + (6 - 12) - (3 + 0). What is the highest common divisor of 205 and m? 41 Suppose 948 = -4*s + 2*o, 962 = -4*s - 0*o - 5*o. Let p = s - -408. Let b = p - 114. What is the greatest common factor of b and 7? 7 Suppose -3*l - 144 = -3*m, -13*m + 81 = -11*m + 3*l. Suppose 2*w - 27 = -3*y, -y + 4 - 10 = -w. Calculate the highest common divisor of w and m. 9 Let f = 12 + -9. Suppose 4*l + 3*s = 122, 90 = f*l + 2*s + s. Calculate the greatest common factor of 4 and l. 4 Suppose r = 5*x - x + 18, -3*r - 31 = 5*x. Let p be (-65)/r + 2/4. Calculate the highest common factor of 3 and p. 3 Let m = 8 - 1. Let d = m - 4. Let j be (4/6)/(d/72). Calculate the greatest common factor of j and 16. 16 Let w = 107 + -59. Calculate the highest common factor of 96 and w. 48 Let q = -121 + 212. What is the greatest common divisor of q and 13? 13 Let d = 3 + -1. Let l(z) = -4 + 0*z**d - z**2 - 24*z + 11*z. Let q be l(-12). Calculate the highest common factor of 4 and q. 4 Suppose -3*d = d + 40. Let t be 3/((-4)/16*-3). Let v be ((-15)/d)/(2/t). Calculate the highest common divisor of 21 and v. 3 Let u(k) = k - 8. Suppose -6 = -2*n - n, -2*n + 44 = 4*v. Let y be u(v). What is the greatest common divisor of y and 3? 1 Suppose 3*x - 24 = 3*t - 3, 0 = 2*x + 4*t + 4. What is the greatest common divisor of x and 32? 4 Let g be (-3)/6*-6 - -6. Let a be ((-2)/2 - -2) + 8. Calculate the highest common factor of g and a. 9 Let o(a) = 31*a - 6. Let m be o(6). Calculate the greatest common factor of 20 and m. 20 Let r be (6/(-5))/(9/(-120)). Let q be r/(-6)*(-42)/4. What is the greatest common divisor of 42 and q? 14 Suppose 2*y = 4*y + 8. Let b be (-22)/y + 2/(-4). Calculate the greatest common divisor of 2 and b. 1 Suppose -4*o + 121 = -99. Suppose -8 = 4*q, t + 0*q = 4*q + 30. Calculate the greatest common factor of t and o. 11 Suppose 0 = 4*p + 76 - 8. Let f = 39 + p. What is the greatest common factor of f and 22? 22 Let c(w) = -2*w**3 + 3*w**2 + 3*w - 1. Let j be c(3). Let p be (3 + 10)/(1/(-1)). Let d = p - j. What is the highest common divisor of d and 60? 6 Suppose -5*a - 4*f - 7 = -8*a, 4*a - 5*f = 10. What is the greatest common divisor of 5 and a? 5 Suppose -2*a = -8, -3*x - 7*a + 106 = -3*a. Let m = -90 - -128. Let v = -23 + m. What is the greatest common factor of v and x? 15 Suppose -3*f + 7*f = -2*h - 6, 2*h = -5*f - 8. Let g be -1 + (-1)/(2/(-14)). Let r be (-15 + -1)/(f/g). What is the highest common divisor of 16 and r? 16 Suppose -4*u = -632 + 172. Calculate the greatest common divisor of u and 46. 23 Let f(s) = s + 5. Let d be f(5). Suppose 0 = 5*o - o - 12. Suppose -382 + 46 = -3*p + o*h, 5*p = 4*h + 558. What is the highest common divisor of p and d? 10 Let g be -1*((-3)/1 - 1). Let k be 4/((-4)/(-15)) + 0. Suppose g*a - k = 65. What is the greatest common factor of a and 80? 20 Let x = -19 + 16. Let h be 6/(-5)*160/x. Suppose 4 = j + 1, 3*i - 39 = 3*j. What is the greatest common factor of i and h? 16 Let d(g) = -g + 3. Let p be d(-3). Suppose k - p*k = 30. Let z = k - -13. Calculate the greatest common factor of z and 28. 7 Suppose -5*u + 30 = -50. Suppose -c - u = -2*c. Let l(h) = -h**2 + 6*h - 6. Let k be l(4). What is the highest common factor of c and k? 2 Let k(v) be the first derivative of 2*v**3/3 - v**2 - v + 2. Let q be k(2). Suppose 0 = -4*i + q*i + 14. Calculate the highest common factor of i and 112. 14 Suppose -9*l = -14*l + 35. What is the highest common divisor of 28 and l? 7 Let m be -4*((-1)/2)/1. Let w = 9 + -3. Calculate the greatest common divisor of w and m. 2 Suppose -5*y = 6*y - 605. Calculate the greatest common factor of 11 and y. 11 Let r = -253 - -433. Let h(z) = 5*z**2 + 1. Let a be h(1). Let w be (450/105)/(a/28). Calculate the highest common divisor of r and w. 20 Suppose 2*q + 0*q = 40. Calculate the highest common divisor of q and 10. 10 Suppose 5*c = 4*c + 8. Calculate the highest common factor of 8 and c. 8 Suppose 0 = -b + 3 + 6. Calculate the greatest common divisor of 81 and b. 9 Let g be ((-24)/(-30))/(1/10). Calculate the greatest common divisor of g and 88. 8 Suppose -2*p = -4*h + 614, 0 = -h - 4*p + 132 + 8. What is the highest common factor of h and 19? 19 Let f = 9 + -6. Suppose 297 = 4*m - f*b, -2*m - 2*m + 302 = -2*b. Let c be (-10)/(-25) + m/5. What is the greatest common divisor of 24 and c? 8 Let u = -116 + 138. What is the highest common divisor of u and 22? 22 Let a(x) = -x**2 - 14*x - 25. Let u be a(-11). Let y be 967/5 - (-2)/(-5). Suppose 2*b - y = -49. Calculate the greatest common factor of u and b. 8 Let y(d) = -2*d**2 + d + 432. Let p be y(0). Calculate the greatest common divisor of 54 and p. 54 Let m(v) be the first derivative of -11*v**4/4 + v**3/3 + v**2/2 + 1. Let u be m(-1). What is the greatest common divisor of u and 88? 11 Suppose 0 = -4*c + 4 + 4. Suppose 2*o + 3*o = 20. Calculate the highest common factor of o and c. 2 Let x be (-234)/(-4) + 4/(-8). Suppose 3*a + 5*s - 67 = -a, -4*a + x = 2*s. Suppose f + 52 = 3*f. Calculate the greatest common divisor of a and f. 13 Let p be ((-9)/9)/((-1)/(-22)*-2). Calculate the greatest common factor of p and 231. 11 Let n = 12 - -4. Let a = n + 59. Calculate the greatest common divisor of 15 and a. 15 Let n = -12 + 17. Suppose 0*z = b + 5*z - 40, -170 = -5*b + 5*z. Calculate the greatest common factor of n and b. 5 Let u = 26 + -14. Let s be (-8)/(-3)*234/u. What is the highest common divisor of 13 and s? 13 Suppose 2*p = -3*h - 373, 0*h - h + 393 = -2*p. Suppose 5*v = 3*v + 556. Let k = p + v. Calculate the highest common divisor of 12 and k. 12 Suppose 3*y + 3 = -3*s + 57, 0 = -2*s - 4*y + 40. What is the highest common factor of s and 8? 8 Let z be (-3)/((-1)/(-57)*-3). What is the greatest common divisor of 38 and z? 19 Suppose 0 = -5*j - 26 + 51. What is the greatest common divisor of 10 and j? 5 Suppose -q + 14 = q. Let k = 247 + -246. What is the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
. -9*h**2 + 9*h + 21 Let m(i) = -1509*i**2. Let p(l) = -l + 83. Calculate p(m(x)). 1509*x**2 + 83 Let p(f) = 3*f**2. Let t(j) = 18*j**2 + 9 - 15 + 6. Calculate p(t(q)). 972*q**4 Let y(u) = 7*u**2 - u - 1. Let c(q) = 33*q**2 - 5*q - 5. Let f(v) = -c(v) + 5*y(v). Let j(l) = 5*l**2 - 16. Calculate j(f(a)). 20*a**4 - 16 Let j(c) = -342*c**2. Let q(t) = -3*t - 3*t + 7*t - 2*t. Calculate q(j(z)). 342*z**2 Let r(n) = -2*n**2 + 3*n + 3. Let u(j) = 3*j**2 - 5*j - 5. Let k(g) = 5*r(g) + 3*u(g). Let z(p) = 21*p**2. Calculate k(z(o)). -441*o**4 Let r(k) = 6*k. Suppose 0 = 3*v - 18 - 0. Let g(s) = -s**2 + s + 1. Let z(j) = 3 - 9*j**2 + 0 + 6*j + 3. Let b(o) = v*g(o) - z(o). Give r(b(l)). 18*l**2 Let y(x) = x. Let v(g) = -828952*g**2. Determine y(v(c)). -828952*c**2 Let k(u) be the second derivative of u**4/3 + 83*u - 2. Let d(m) = -19*m**2. Determine d(k(o)). -304*o**4 Let i(q) = -11*q. Let x(g) = 8 + 2 - 10 + 27*g. Let o(l) = -12*i(l) - 5*x(l). Let w(v) = 2*v**2. What is w(o(m))? 18*m**2 Let v(t) = t. Let d(h) be the first derivative of 23*h**2/2 + 13. Determine d(v(z)). 23*z Let h(q) = -3*q**2. Let a = -35 + 39. Let y(u) = 10 - 13*u - 9 + a*u. Determine h(y(r)). -243*r**2 + 54*r - 3 Suppose 212 = 4*g - 4*a, -289 = -5*g - 3*a - 16. Let d(b) = 25*b + 25*b - g*b. Let z(i) = 8*i. Determine d(z(l)). -32*l Let x(q) = -q. Let h(l) = -35*l + 3. Let k(a) = 5525*a - 475. Let n(m) = -950*h(m) - 6*k(m). Give n(x(t)). -100*t Let u(s) = -3*s. Let v(r) = -2*r - 96963. Calculate u(v(q)). 6*q + 290889 Let n(t) = 7*t**2. Let l(o) = 146 + 18*o**2 - 146 - 5*o**2. Calculate n(l(w)). 1183*w**4 Let u(o) = -3*o - 7039. Let j(k) = 10*k. Determine j(u(c)). -30*c - 70390 Let l(a) = -182358*a. Let u(f) = 2*f**2. Calculate u(l(x)). 66508880328*x**2 Let h(g) = 13*g. Let k(i) = 7*i + 305*i**2 - 627*i**2 + 325*i**2. Determine k(h(b)). 507*b**2 + 91*b Let a(g) = g - 3*g - 2*g + g - 8*g. Let z(s) = -26*s. Give z(a(i)). 286*i Let j(y) = -21*y**2 - 7. Let x(w) = -10*w**2 - 3. Let s(l) = 6*j(l) - 14*x(l). Let g(t) = -5*t**2. Give s(g(b)). 350*b**4 Let h(x) be the second derivative of 35*x**3/6 - 2*x - 11. Let s(l) = -l**2. Give s(h(o)). -1225*o**2 Let y(o) = -1666*o. Let d(l) = -97*l**2. Determine d(y(q)). -269228932*q**2 Let m(z) = -2*z**2. Let r(q) = 13802*q**2. Let b(i) = -200*i**2. Let d(c) = 206*b(c) + 3*r(c). Give d(m(o)). 824*o**4 Let i be 1 - -1 - -28 - 2. Let n(v) = -2*v - 28 + 6*v + i. Let m(g) = 3*g. What is n(m(l))? 12*l Let m(t) = 13*t**2. Let u(o) be the first derivative of 14*o**3/3 - 37. Calculate u(m(p)). 2366*p**4 Let k(g) = 2*g**2. Let o(w) be the second derivative of 7*w**4/2 + 84*w. Calculate o(k(a)). 168*a**4 Let d(n) = n**2 - 26*n + 60. Let z be d(24). Let t(i) = 292 - 292 - z*i**2 - 10*i**2. Let a(u) = -u. Give a(t(q)). 22*q**2 Let c(i) be the second derivative of -i**4/6 + 15*i - 2. Let w(d) = d**2 + 27. Give w(c(o)). 4*o**4 + 27 Let w(y) = 640027*y**2. Let c(g) = -11*g. What is c(w(n))? -7040297*n**2 Let s(v) be the second derivative of v**4/2 + v - 35. Let w(y) = -5*y**2. Calculate w(s(q)). -180*q**4 Let p(n) = n. Let x(f) = 36*f - 16*f + 5*f**2 + f - 4*f. Determine x(p(u)). 5*u**2 + 17*u Let m(f) be the second derivative of -f**3/6 + 12*f - 8. Let v(t) = -9*t**2. Give v(m(o)). -9*o**2 Let j(m) be the second derivative of -4*m - 6 + 0*m**2 - 29/6*m**3. Let b(o) = -o**2. Calculate b(j(u)). -841*u**2 Let v(u) = -7*u**2. Let x(y) = -7*y. Let t(i) = -i. Let k(p) = -6*t(p) + 2*x(p). Calculate v(k(h)). -448*h**2 Let l(d) = 2*d**2 - 2852. Let s(y) = 11*y. Give s(l(a)). 22*a**2 - 31372 Let o(i) = -96*i. Let f(t) = 108*t + 47. Give f(o(b)). -10368*b + 47 Let j(r) = r**2. Let d(w) be the first derivative of 7*w**5/30 - w**2/2 + 3. Let g(n) be the second derivative of d(n). What is j(g(q))? 196*q**4 Suppose 4*p + 4 = 64. Let k = p - 13. Let u(x) = -4*x**2 + 4*x**k + x**2 + x**2. Let q(h) = 2*h. Give u(q(s)). 8*s**2 Let j(r) = -3*r. Let a(c) = c. Let n(b) = -4*a(b) - 2*j(b). Let z(x) = -7*x. Calculate z(n(f)). -14*f Let n(c) = -30 + 3*c + 30. Let o(b) be the second derivative of 0*b**2 + 3*b + 0 + 0*b**3 - 1/3*b**4. Determine o(n(w)). -36*w**2 Let b(o) = -214167*o. Let d(y) = 2*y. Give d(b(p)). -428334*p Let c(v) = 2*v**2. Let u(x) = 2*x + 0*x + 3*x. Let i(l) = l**2 + l. Let h(g) = 15*i(g) - 3*u(g). Calculate c(h(k)). 450*k**4 Let d(l) = -l + 35. Let b(f) = -26*f**2 - 19*f**2 + 90*f**2 - 22*f**2 - 27*f**2. Calculate b(d(a)). -4*a**2 + 280*a - 4900 Let x(h) = -1 + 1 + h. Let m(i) be the third derivative of -i**5/60 - 25*i**2. Calculate x(m(p)). -p**2 Let g(w) = 13015*w. Let l(r) = 53*r**2. Determine l(g(c)). 8977681925*c**2 Let m(l) = 7*l - 2 + 2. Let h(v) = 2246*v + 2247*v - 4490*v. Calculate m(h(u)). 21*u Let b(g) = 47803*g**2 - 1. Let l(u) = 10*u. What is b(l(w))? 4780300*w**2 - 1 Let n(w) be the third derivative of -w**5/30 + 112*w**2. Let d(m) = 3*m**2 + 24*m. Calculate d(n(i)). 12*i**4 - 48*i**2 Let m(a) = -89*a**2. Let u(l) = -4*l - 6. Let y(s) = 3*s + 4. Let f(i) = 4*u(i) + 6*y(i). Calculate f(m(b)). -178*b**2 Let q(f) = 3*f - 17. Let s be q(10). Let y(o) = 166*o - s*o - 14*o. Let p(c) = c. Calculate p(y(r)). 139*r Let m(w) = 36*w**2 - 117*w**2 + 89*w**2. Let g(x) = -32*x. Give m(g(p)). 8192*p**2 Let t(g) = 2*g**2 + 2*g - 8. Let v(p) = 24*p**2 + 27*p - 108. Let d(a) = -27*t(a) + 2*v(a). Let k(c) = -1 + 5*c + 1. Give k(d(m)). -30*m**2 Let p(a) = -a. Let n(q) = -2908*q**2. Determine n(p(z)). -2908*z**2 Let x(t) be the second derivative of -t**3 - 2*t. Let y(r) = r - 5. Let f be y(7). Let k(p) = -5*p - 4*p + f*p + 6*p. Determine k(x(i)). 6*i Let s(a) = 8*a. Let f(v) = -13*v + 6. Let r(l) = -25*l + 13. Let h(x) = 13*f(x) - 6*r(x). Determine s(h(i)). -152*i Let x(f) be the third derivative of f**5/10 - f**2 + 9*f. Let h(g) = 172*g**2. What is x(h(w))? 177504*w**4 Let o(x) = -4*x. Let m(r) = 14516*r**2. Calculate o(m(w)). -58064*w**2 Let j(i) be the second derivative of -i**4/12 + 88*i - 1. Let a(v) = -v**2 - v. Let l(c) = -5*c**2 - 4*c. Let n(r) = 4*a(r) - l(r). Calculate n(j(d)). d**4 Let k(l) = 1792*l. Let t(v) = 21*v - 2. What is t(k(y))? 37632*y - 2 Let o(r) = -18616*r - 3 + 3 + 18622*r. Let x(p) = 134*p. What is x(o(y))? 804*y Let s(m) = -2*m**2. Let f(q) be the first derivative of 0*q**2 - 5*q + 7 + 7/6*q**3. Let l(k) be the first derivative of f(k). Determine s(l(r)). -98*r**2 Let p(d) = -2*d. Let z(h) be the first derivative of h**2/2 + h - 75. What is p(z(l))? -2*l - 2 Let h(y) = -7*y**2 + 4. Let f(d) = 168*d**2 - 98. Let n(t) = -2*f(t) - 49*h(t). Let z(c) = 21*c. What is z(n(v))? 147*v**2 Let g(a) = -2*a. Let s = -274 - -278. Let m(h) be the third derivative of 2*h**2 + 0 + 0*h + 0*h**3 - 1/60*h**5 + 0*h**s. What is m(g(u))? -4*u**2 Let y(u) = 4*u**2 + 1374*u. Let p(o) = -51*o**2. Determine y(p(v)). 10404*v**4 - 70074*v**2 Let c(u) = -11*u**2. Let q(r) be the first derivative of -5*r**2/2 - 180. Calculate c(q(m)). -275*m**2 Let g(v) = 5*v. Let h(o) = -81*o + 149*o - 79*o. Calculate h(g(l)). -55*l Let s(v) = 2*v. Let u(n) = -n**2 - 20868*n. What is u(s(o))? -4*o**2 - 41736*o Let a(f) = f**2. Let c(n) = 8557*n. Let o(w) = 46*w. Suppose 4*j + 3*x + 1243 + 3244 = 0, 3364 = -3*j - 2*x. Let r(t) = j*o(t) + 6*c(t). What is a(r(q))? 7396*q**2 Let q = 87 - 53. Let t(n) = 19*n - 10*n - 19*n - q*n. Let m(i) = 2*i**2. Determine m(t(x)). 3872*x**2 Let j(q) = -15*q**2 + 2*q. Let z(c) = -21*c**2 - 28*c**2 + 45*c**2. Give j(z(n)). -240*n**4 - 8*n**2 Let o(d) = -2*d**2 + 29*d - 92. Let v be o(5). Let s(w) be the first derivative of -9 + 0*w + 1/3*w**v + 0*w**2. Let i(b) = -b**2. What is i(s(u))? -u**4 Suppose -6*n + 20 - 8 = 0. Let z(y) = 7*y**2 - 9*y**2 + 16*y**2 + 12*y**n. Let c(p) = 2*p**2. Determine c(z(x)). 1352*x**4 Let q be 36/15 - (-4)/(-10). Let k(j) = -2*j + 13*j**2 + q*j. Let r(u) be the second derivative of u**4/12 + 29*u. Determine k(r(p)). 13*p**4 Let l = -5 - -19. Let z = l + -12. Let q(p) = -2*p + 2*p + 0*p + z*p**2. Let v(t) = -4*t**2. What is q(v(y))? 32*y**4 Let m(w) = w**2 - 12*w. Let r(x) = -56*x + 30*x + 24*x. Give m(r(a)). 4*a**2 + 24*a Let q(k) = 643*k - 320*k - 325*k. Let t(a) = -225*a**2 + 1. Give q(t(p)). 450*p**2 - 2 Let o = 3 - -4. Let c be 1/2 + o/2. Let v(t) = -c*t - t + 3*t - 2*t. Let b(l) = -2*l. What is b(v(m))? 8*m Let v(d) = -78*d - 63*d +
{ "pile_set_name": "DM Mathematics" }
v be 2*(-10)/4 + 2. Let a be 2*(-2 - v/6). Let t(u) = -u + 1. Calculate the smallest common multiple of t(a) and 4. 4 What is the common denominator of -83/24 and 1/((-21)/103) + 1? 168 Let m = -63483/11 + 5767. Calculate the common denominator of m and -99/14. 154 Let m(t) = t**3 + 6*t**2 - 7*t + 8. Let b be m(-7). Let f(u) = -u**2 + 7*u + 11. Calculate the least common multiple of f(b) and 7. 21 Suppose -f + 2*f - 20 = 0. Find the common denominator of 1/f*1340/8 and -27/10. 40 Suppose 5*o - 135 = -5*d - 5, -4*d = o - 92. Calculate the least common multiple of d and 6. 66 Let s = -3 - -9. What is the lowest common multiple of s*(-3)/18*-4 and 14? 28 Suppose -v + 16 = -2*k, 0 = -4*v + 3*k + 6 + 58. Suppose -v - 20 = -2*z. Suppose 0 = -0*s - s + 16. What is the lowest common multiple of z and s? 144 Suppose 0 = s - 4 + 2. Suppose -3*j - 5*b = -14, 3*j + 4 = 6*j - 5*b. What is the least common multiple of j/(1*3/10) and s? 10 Let i be 4/(-14) + (-259)/(-49). Suppose 5*a - 20 = -u, -u + 0*u + i*a = -20. Calculate the least common multiple of u and 22. 220 Find the common denominator of (36/27)/((-44)/42) and (-5)/(-15)*3/(-4). 44 Find the common denominator of 13*(-2)/(44/6) and ((-143)/165 + 1)*(1 - -69). 33 Let t(p) = -p**2 - 7*p + 6. Let c be t(-6). Suppose 5*a = -c + 2. What is the smallest common multiple of a/5 - (-74)/10 and 5? 35 Calculate the common denominator of 43/18 and 201/(-8)*10/(-105). 252 Let q be (-2)/(-3) + (-84)/(-9). Suppose 0 = x + 5 - 23. Calculate the smallest common multiple of (-22)/(-5) - 4/q and x. 36 Let k be -3 - (2 - (2 - -2)). Let u = k - 1. What is the lowest common multiple of u/2 - (-8)/4 and 7? 7 Suppose 20 - 6 = d. What is the least common multiple of d and 22? 154 Let t = 234/5 - 32516/695. Let o = t + -3201/278. Calculate the common denominator of o and 1/(-2)*(-93)/2. 4 Let c = -131/11 - -9/22. What is the common denominator of c and 67/9? 18 Suppose -6*p = -13 - 23. What is the smallest common multiple of 12 and p? 12 Let h = -2/931 - -28881/9310. Calculate the common denominator of h and -35/16. 80 What is the lowest common multiple of ((-12)/(-9))/((-6)/(-36)) and 18? 72 Let z(u) = -u**2 + u + 18. Calculate the smallest common multiple of z(0) and 30. 90 Let x be -1 - (-5 - (-6)/3). Suppose 4*v - q - 18 = 0, 0*q = -v - x*q. What is the smallest common multiple of 9 and v? 36 What is the smallest common multiple of 5 - (-5)/(-3)*-3 and 30? 30 Let n be (-2 - (-15 + -3))/1. Let x = 28 - n. Calculate the common denominator of 93/4 and (x/90)/((-12)/(-485)). 36 What is the lowest common multiple of 20 and 5 - (4 + -32)/4? 60 Let m = 0 + 24. What is the lowest common multiple of m and 78? 312 Let f(q) = q - 3. Let l be f(6). Suppose 5*y - 2*p + 7 = -l*p, 4*y - 7 = -5*p. Find the common denominator of -33 and y/(-40)*3185/14. 8 Suppose 2*n - 3*n - 5 = 0. Let x = n + 7. Suppose -2*a = 4*c - 32, -3*a = -2*a - 5*c + 19. Calculate the smallest common multiple of a and x. 6 Suppose 2*i - 3*i + 4*s + 2371 = 0, -2*i + 4726 = -4*s. Let d = -28229/12 + i. What is the common denominator of (69/16)/((-27)/(-12)) and d? 12 Suppose -5 = -o - 2*n - 3, 0 = 4*o - 4*n - 20. Let h(z) = -z**3 + 7*z**2 - 5*z + 8. Calculate the lowest common multiple of h(6) and o. 28 Let s(i) be the second derivative of -i**5/20 + i**4/3 + i**3/6 + 2*i**2 + 3*i. What is the lowest common multiple of s(4) and 7? 56 Calculate the lowest common multiple of ((-26)/39)/(-2*1/42) and (-52)/(-5) + 2/(-5). 70 Let t = 15947/6728 - -4/841. Let r be 1/1 + 208338/420. Let u = r - 3452/7. Find the common denominator of t and u. 40 Let u = 35729/9 + -3974. Find the common denominator of -16/9 and u. 9 Let g = -28 - -46. Suppose 4*p + 2*j - g = 48, 0 = 5*p - 3*j - 77. What is the smallest common multiple of p and (-55)/(-4) - (-1)/4? 112 What is the common denominator of 13/16 and ((-27)/10)/(64/240)? 16 Let v = -8895 - -195737/22. Let n = -2718 - -59779/22. What is the common denominator of n and v? 22 Let q = 8 + -6. Suppose 0*d = q*d - 4*w + 8, -5*w = 4*d - 23. What is the lowest common multiple of d and (2/4)/(3/72)? 12 Let j be (-1 + 0)/(6/(-24)). Suppose 3*p - 2*i + 7*i + 1819 = 0, -612 = p - j*i. Let d = p + 8525/14. What is the common denominator of d and -61/18? 126 Let g = -18890064601/7851058337750 - 7/315468250. Let i = g - -46566147583/1844126700. Let k = 1/741 + i. Find the common denominator of k and -5/14. 28 Calculate the common denominator of (-28)/160 + (-3)/15 and -69/2. 8 Let w(p) = -p**3 + 11*p**2 - 8*p - 5. Let i be w(10). Let j = 16 - i. Calculate the smallest common multiple of 1 and j. 1 Find the common denominator of -19/14 and ((-27)/6)/(132/140). 154 Suppose 0 = u - 25 - 5. What is the least common multiple of u and 27? 270 Suppose -8 = -2*w - 0. Calculate the lowest common multiple of w and 106. 212 What is the common denominator of -12/7 and (7/5)/((-6)/(-42))? 35 Suppose 33 = t + 7. Suppose -t - 10 = -4*h. What is the lowest common multiple of 5 and h? 45 Let x(g) = 4*g. Calculate the lowest common multiple of x(3) and 9. 36 Suppose 123 = -2*m + 3*u + 2*u, -221 = 4*m - 5*u. Let a be ((-2)/4)/((-1)/(-14)). What is the common denominator of -16/11 and (-4)/((m/6)/a)? 77 Suppose -5*z + 3 = -72. Suppose -d + 4*x = z, -2*d - 3*x + 30 = -4*d. What is the common denominator of (0 - d/(-6))/11 and 113/20? 220 Let m be ((-1883)/3)/(1/3). Let h = 37687/20 + m. What is the common denominator of 5/14 and h? 140 Suppose -1 = -f + 1. Let p = -14521/1386 - -224/99. What is the common denominator of p and 1/f - (-75)/(-27)? 126 Let y = -9 - -39. Suppose 5*g - y = 2*g. Suppose 4*j - 72 = -4*o, -o + j = -0*j - 22. Calculate the lowest common multiple of g and o. 20 Let a = -1247/7 - -177. Let i = 103/14 - a. Calculate the common denominator of -85/8 and i. 8 Let v = -45 - -89. Calculate the lowest common multiple of 28 and v. 308 Suppose 3*p + 2*p - 94 = -d, 5*p + 3*d = 102. Let s = 286 + -276. Calculate the lowest common multiple of p and s. 90 Suppose j = 5*j. Suppose -42 = -j*x - 3*x. What is the smallest common multiple of x and 18? 126 Suppose -3*i + 5*w + 9 = -2*i, -w - 41 = -3*i. Let d = -12 + i. Calculate the lowest common multiple of 6 and d. 6 Let d be 2 + (3 + -3 - -3). Suppose d*j + 18 = 6*j. Calculate the smallest common multiple of 6 and j. 18 Let c = 35611/15 - 2377. Find the common denominator of 88/15 and c. 15 Let w be ((-2)/(-44)*-1559)/1. Let y = w - -488/11. Let l = 5/81 + 1271/405. Calculate the common denominator of l and y. 10 What is the common denominator of (-1)/4 - ((-542)/(-88) + -4) and 61/12? 132 Suppose -5*t + 10 = -10. Let k = 17 - 12. Suppose 0*v = u - k*v - 6, -u - 5*v = 4. What is the least common multiple of t and u? 4 Let k(f) = -f + 14. Let x(j) = 3*j - 44. Let l(w) = w - 15. Let b(i) = 8*l(i) - 3*x(i). Let a be b(5). Calculate the lowest common multiple of k(a) and 6. 42 What is the common denominator of -1/22 and ((-213)/(-42))/(30/7)? 660 Suppose -5*r = 4*y - 20, 8 = y + 5*r - 3*r. Suppose 5*s + 30 = -y. What is the lowest common multiple of (-99)/s*(-8)/(-6) and 22? 22 Suppose 0*l = -3*l + 18. Calculate the smallest common multiple of 1 - ((-4)/(-4) + -22) and l. 66 Suppose 2*l - 32 = -3*m, -2*l = -0*l - 2*m - 32. Suppose -4*q + l = -3*q. Suppose -q = -3*p - p. Calculate the least common multiple of 6 and p. 12 Let a = -293183/30 - -9771. What is the common denominator of 44/3 and a? 30 Let q = -4/1277 + 21841/42141. Calculate the common denominator of q and -65/3. 33 Let n(i) be the second derivative of -i**5/20 + i**4/6 - i**3/3 + i**2 - 2*i. Let c be n(2). What is the smallest common multiple of 16 and 5 + -4 - 38/c? 80 Suppose -2*f + 50 = 3*f. Let x be (0 - 1) + (7 - 4). Suppose 3 - 15 = -x*h. What is the smallest common multiple of h and f? 30 Let i = -111/62 + 2171/217. Find the common denominator of -25/6 and i. 42 Let p = -59341/2490 - 2/1245. Find the common denominator of -63/8 and p. 24 Suppose 4*v + 2*g = -22, 4*v + 3*g = -25 - 2. Let s be 2*5*v/2. Calculate the common denominator of 41/5 and 818/60 + (-3)/s. 30 Let p = 3085 - 6602. Let o = -6595642/1885 + -5795/754. Let h = p - o. Calculate the common denominator of h and -37/4. 20 Find the common denominator of 27/2 and 2233/2211 + (-4
{ "pile_set_name": "DM Mathematics" }
-786? -786 Which is bigger: 83/5 or 18? 18 Is 1 >= 131/197? True Which is greater: -421/16 or -27? -421/16 Is -514 bigger than -546? True Which is smaller: -2/7 or 884? -2/7 Is 19 greater than or equal to 0.3? True Which is smaller: -0.2 or -7.05? -7.05 Is -12 greater than or equal to -491? True Which is greater: -6 or -1.21? -1.21 Is -1/1782 at most 0? True Which is bigger: -0.46 or 2/5? 2/5 Is 0 < 1/2218? True Do 300 and 298 have the same value? False Do 5/1031 and -1 have the same value? False Is -13/12 smaller than -2? False Which is greater: -3498/13 or -269? -269 Is -394/5 not equal to -80? True Is -1/14 greater than 37? False Which is smaller: 13/2 or -390? -390 Which is smaller: -1 or -20/53? -1 Which is smaller: 4/2081 or 0? 0 Are -1361 and -1362 nonequal? True Are 90 and -0.1 unequal? True Which is smaller: 1 or -5/64? -5/64 Which is smaller: 25243 or 25244? 25243 Which is greater: -9 or -563? -9 Is -53677 equal to -53678? False Does 1 = 1/135389? False Is 10/149 greater than or equal to 0? True Is 0.1381 > -1/3? True Is 2/3 less than or equal to 0.132? False Is -623 at most as big as -623? True Which is smaller: 178/3 or 59? 59 Which is smaller: -10 or -221? -221 Is 2/783 greater than 1? False Which is bigger: -201 or -202? -201 Is -8 > -54? True Is 4/99 equal to -0.01? False Is 68/431 at least as big as 0? True Are -2381/5 and -477 equal? False Which is bigger: 19 or 15? 19 Which is smaller: 0 or 9/7? 0 Is -5/61 equal to 0? False Is -1 not equal to 1/1959? True Is -76/239 smaller than 1? True Is -40 smaller than -3/104? True Are 3/2 and 293 nonequal? True Are -91/263 and 1 nonequal? True Which is bigger: -78 or 48? 48 Which is greater: 1 or 2/3? 1 Which is bigger: 0.07 or -6/31? 0.07 Which is greater: 1920 or 1919? 1920 Which is smaller: -2 or -162? -162 Is -1 bigger than -2/12687? False Is -137 <= -132? True Which is smaller: 1 or 6125? 1 Which is smaller: 16666/9 or 2? 2 Which is smaller: -1/2992 or -1? -1 Which is bigger: 60 or 52? 60 Which is smaller: 0 or 82/273? 0 Are 1 and 36/71 non-equal? True Is -21802 >= -21801? False Is 2917 less than 1? False Which is smaller: 1/16 or -2/255? -2/255 Is -1198 <= -1180? True Is -3968 less than -27782/7? False Which is smaller: 1.11 or -1? -1 Is -1/193 equal to -1? False Is 430 at most as big as 432? True Which is bigger: 2 or -838/3? 2 Which is smaller: -543 or -545? -545 Which is bigger: 0.1 or -28034? 0.1 Which is smaller: 68 or 69? 68 Is -236/11 <= -20? True Is -1/554 bigger than -1? True Is -15 < -1.9? True Do 30/43 and 0 have different values? True Which is smaller: -3/389 or 0? -3/389 Which is bigger: 71 or 0? 71 Is 19/47 > 0? True Is -3046 bigger than -3048? True Is 69 greater than 1326/19? False Which is greater: -16/3761 or -1? -16/3761 Which is smaller: -10863 or -10862? -10863 Which is greater: 4 or 1/27? 4 Is -205 less than -1434/7? True Is 0 less than or equal to -4/91? False Do 604 and 2 have different values? True Is 592 < 3/5? False Is 41 < 42? True Which is greater: -4/35 or -1? -4/35 Is 17 less than 15? False Is -394 bigger than -394? False Is -16 at most as big as -20? False Which is bigger: -554/7 or 7? 7 Is 29 > 52? False Are -0.1517 and 2 unequal? True Which is smaller: 33 or 31? 31 Which is bigger: 1.8 or 2? 2 Which is smaller: 0 or 2/85? 0 Do 9/5 and -0.3 have different values? True Is -10429 at most as big as -10429? True Is 4/533 equal to 1? False Which is greater: 11 or -35? 11 Are -244 and -2679/11 unequal? True Which is bigger: -54 or 1/2? 1/2 Is 0 not equal to 3/140? True Is -435 at most -447? False Which is smaller: -6/1133 or 1? -6/1133 Are -4 and -28/11 non-equal? True Are 471 and 473 equal? False Which is smaller: -1 or 1/14935? -1 Are 57 and 57 nonequal? False Do 2162 and 2167 have the same value? False Which is smaller: -872 or -870? -872 Does 2/10105 = -1? False Which is greater: -15320 or -15321? -15320 Is -347 greater than or equal to 0? False Which is smaller: -933 or -932? -933 Is -29 greater than -63? True Is -460 smaller than 1? True Are 1 and -2/21 equal? False Are 3 and 221 equal? False Which is bigger: -1/377 or 0? 0 Which is smaller: 1/276 or 1? 1/276 Is 14/29 less than 1? True Is 0 at most 607? True Is 2 >= 111/77? True Which is smaller: 1/8 or 7/67? 7/67 Are 1/4178 and 0 non-equal? True Are 3 and 5.156 non-equal? True Is 690 greater than 686? True Which is smaller: -15 or 285/7? -15 Which is greater: -6 or 49? 49 Which is smaller: 77 or -7? -7 Which is bigger: 116 or 115? 116 Which is smaller: -167 or -0.1? -167 Do -244/3 and 1 have the same value? False Which is bigger: -44 or -0.026? -0.026 Which is smaller: 11710 or 23417/2? 23417/2 Which is smaller: 1 or -55/194? -55/194 Which is smaller: 0 or 4/55? 0 Which is greater: 0 or 1/6744? 1/6744 Is -1/23 equal to -0.1? False Do 0.62 and 2/3 have different values? True Which is smaller: -155 or 35? -155 Do -6581 and -6580 have the same value? False Is -1285 greater than or equal to -1285? True Is 8390 at most 8391? True Is -0.1 greater than -0.32? True Which is greater: -3 or 707? 707 Is 0 greater than or equal to -13/11? True Is -34 greater than or equal to -415/12? True Do 25 and 423/17 have different values? True Which is greater: -61 or -60? -60 Is -1201/5 at least -239? False Which is bigger: -0.25 or -9? -0.25 Is -1 greater than 1/37172? False Which is smaller: 5 or 58/11? 5 Is 43 greater than 917/22? True Is 315 at most as big as 316? True Is 1 != -2/121? True Is 1 at least as big as -1/173? True Is -4 at least as big as -196? True Which is greater: -26/63 or 0? 0 Is 1/134 less than 0? False Which is smaller: 1 or 4602? 1 Which is bigger: 0 or -168/143? 0 Does 2/27 = 29? False Which is greater: 11 or 16? 16 Is -157 at most as big as -124? True Which is bigger: 11 or -1? 11 Which is smaller: 75/109 or 1? 75/109 Which is bigger: -1144 or -1136? -1136 Which is smaller: -322 or -1? -322 Is -506 bigger than -470? False Which is smaller: -1186 or -2? -1186 Which is smaller: -748 or 2? -748 Which is smaller: -10/773 or -1? -1 Is 1 > 10/5437? True Which is smaller: -150 or -153? -153 Are 1 and -1/1090 nonequal? True Which is greater: 430 or -9? 430 Which is greater: 35/131 or -1? 35/131 Are 76/3 and 26 nonequal? True Which is smaller: 8309 or 8307? 8307 Is -3 greater than 138? False Which is smaller: 996 or 1010? 996 Is 0.05 less than -2/9? False Which is bigger: 2 or 215/39? 215/39 Which is bigger: 1 or 52/21? 52/21 Which is greater: -19 or -10? -10 Is 8/25 at least -1? True Which is smaller: -1182 or -1175? -1182 Is 153 smaller than 165? True Is -1718 equal to -1707? False Which is greater: -250 or -255? -250 Which is smaller: 1 or 4/2199? 4/2199 Which is bigger: 8/499 or 1? 1 Is -146/5 at least -29? False Is -1 less than or equal to 3/1717? True Which is bigger: -20 or -24? -20 Is 24 bigger than 160/7? True Which is smaller: -296 or -292? -296 Are 12 and -8 equal? False Is 39 <= 0.2? False Are -6 and -28 equal? False Is -11 greater than 13.6? False Which is smaller: 1030 or 1? 1 Which is smaller: 71 or -1? -1 Is 2/461 bigger than 1? False Is -36 at most -28? True Which is smaller: 2 or -160.8? -160.8 Which is smaller: -1 or 2/807? -1 Are 3 and -22/93 equal? False Which is smaller: 499/6 or 84? 499/6 Is -2 > -5? True Is 112 at most as big as 5? False Is 791 < 792? True Does 2785 = 2784? False Which is smaller: 8 or 83/5? 8 Which is smaller: 0.1 or -764? -764 Which is smaller: -190 or -189? -190 Is 0 < 6/275? True Which is smaller: 341 or 342? 341 Is 1 smaller than 21/16? True Which is bigger: -1916 or -1914? -1914 Which is greater: 0 or 1/161? 1/161 Which is smaller: 1/9605 or -1? -1 Which is smaller: 2 or 140/89? 140/89 Which is smaller: -137/4 or -34? -137/4 Which is greater: -8/15 or -2? -8/15 Which is bigger: -0.3 or -3? -0.3 Is -5 smaller than -66/13? False Which is smaller: 0 or 1/1519? 0 Which is smaller: 3/15377 or 0? 0 Is -2328/11 smaller than -211? True Is 104 less than or equal to 311/3? False Is -105 != -101? True Which is bigger: 292 or 1/5? 292 Which is smaller: 2/34477 or 0? 0 Is 59 bigger than 59? False Which is smaller: 0 or 5/659? 0 Which is smaller: -236 or 1.7? -236 Is -4/28661 less than 1? True Which is smaller: 344 or 345? 344 Which is greater: -15 or -13? -13 Is -11
{ "pile_set_name": "DM Mathematics" }
(-8)/12 - s/3 a prime number? True Suppose -3*q + 573 = -4554. Is q composite? False Let l = 1609 - 908. Is l a composite number? False Suppose 18*s - 17*s = -106. Let z = s - -185. Is z composite? False Let i(n) = -2*n**3 - 18*n**2 - 6*n - 17. Is i(-12) composite? False Is ((-133)/21)/((-1)/3) a composite number? False Let w = 11 - 2. Let p be 3/(-6)*(0 - 10). Suppose p*s - 26 = w. Is s prime? True Let g(i) = -i - 4. Let t be g(-4). Suppose t = r - 5*l + 3*l - 128, -655 = -5*r + 5*l. Is r prime? False Let x(r) = -r**3 + 15*r**2 - 16*r - 17. Is x(12) composite? False Suppose -2*x + 456 = 2*x. Is ((-2)/3)/((-4)/x) a composite number? False Let o(w) = 2*w. Let c(a) = -2*a. Let d(l) = -5*c(l) - 4*o(l). Let j be d(-3). Is (-6 - 0)*21/j prime? False Suppose 0*r - 3*r = 0. Suppose r = -4*k + k - 72. Let c = k + 38. Is c composite? True Suppose 0 = 4*z + 4*u + 32, 0*z + 5*u = 2*z - 19. Let o = z + 6. Suppose 5*f - o*q = 26, -3*f - q + 6*q = -6. Is f prime? True Let q = 540 + 137. Is q a composite number? False Is (6/8)/(-3*(-2)/16824) a composite number? True Suppose 2*q - q - 144 = 0. Suppose 3*x - 14 + 195 = 5*m, -3*x + m = 197. Let o = q + x. Is o a composite number? True Let x(o) be the third derivative of -5*o**4/24 - o**3/2 - 2*o**2. Is x(-8) composite? False Let m(b) = 179*b**2 + b. Let x be m(1). Suppose -4*z - 352 - 60 = 0. Let l = x + z. Is l a prime number? False Suppose -2*w + 5062 = -4*v, 2*w - 5062 = -v + 2*v. Is w composite? False Suppose 0 = -4*l + 2 + 10. Suppose -20 = l*k + 2*k. Is 58 - 2/k*-2 composite? True Suppose -4*r + 1 = -2*n - 3, -4 = -4*r. Suppose -419 = -n*w - w. Is w a composite number? False Let a = 784 - 454. Suppose -5*b + 200 = -a. Suppose -3*p = -5*p + 3*h + 106, 4*h = -2*p + b. Is p prime? True Suppose 2*p = 4*n + 12, 7*n - 3*n = -p - 6. Let u be 69/2 + (-4)/8. Suppose l - 2*t = -2*l + u, -p*t = -8. Is l a composite number? True Suppose 0 = 4*g - 475 + 23. Let c be 272 + (-2)/(-3)*-3. Let i = c - g. Is i a composite number? False Suppose -135 = -3*u + 264. Suppose -4*p - k + u = 0, p + 95 = 4*p - 4*k. Is p prime? False Suppose -5*d - 995 = -420. Is 0*(-1)/(-2) - d a prime number? False Suppose 4*v = 4*y + 3*v - 463, 0 = 5*y - 2*v - 581. Let a be (-3 - (-26)/10)*140. Let m = y + a. Is m a composite number? False Suppose 3*y = 7 + 5. Suppose 3*t + y*u = -0*u + 154, -3*t = -4*u - 122. Suppose 194 - t = 4*x. Is x a composite number? False Let d = 3 - 1. Suppose d*r - 52 - 178 = 0. Is r a composite number? True Suppose 7 - 47 = -4*m. Let b = m + 44. Suppose 3*z = -3*k + b, k + 3*k - 2*z - 78 = 0. Is k prime? True Is -815*1/(-1) - 0 composite? True Let a(x) = 58*x - 4. Let k be a(6). Suppose -4*q + k = -404. Is q composite? True Let b be ((-2)/(-3))/(1/6). Suppose -b*i = -5*g - 42, -4*i + 2*g + 34 = g. Is ((-4)/i)/((-1)/26) a composite number? False Let a(d) = d - 7. Let n be a(9). Let r = n - 3. Is r - (3/(-3) - 23) composite? False Let b = 63 - -20. Suppose -6 = -0*u - 3*u. Suppose -4*k = -u*y - 86, 0*k + 4*k = 3*y + b. Is k a composite number? False Let p = 49 + 468. Is p a composite number? True Let i = 24 - -59. Is i prime? True Let c = 15 + 6. Suppose 5*s = -6 + c. Suppose -w - 4*v = -45, -7*w - 2*v + 208 = -s*w. Is w a prime number? True Is 1/(-4) + (-372)/(-16) composite? False Let x be 5 + -3 - 318 - -3. Let v = x + 728. Is v a prime number? False Let y(t) = t + 8. Let z be y(-6). Suppose 2*i - z*k - 36 = 0, 4*k - 104 = -4*i - 0*k. Is i a prime number? False Suppose 0*p - 3*s - 115 = -p, 0 = -3*p - 2*s + 323. Is p a composite number? False Suppose 3*j - 6 = -4*n + 2*j, -n - 5*j + 11 = 0. Is n/3*(-999)/(-3) composite? True Suppose 2*l = 2*z - l - 11, 0 = -z - 2*l - 5. Let s be ((-1)/2)/(z/(-56)). Suppose 0 = q - s + 5. Is q a composite number? False Suppose 12 - 27 = -5*q. Let v be -2*q/(-6) - -15. Suppose -2*a = a + 5*n - 17, 5*a - v = 4*n. Is a composite? True Let b be 0/(-3)*(-1)/2. Let w(l) = 5*l**3 + 2*l**2 - 6 - 4*l - 4*l**3 + b*l. Is w(5) composite? False Suppose -11*t - 11*t + 17314 = 0. Is t prime? True Let d(f) = -19*f + 1. Is d(-4) composite? True Let i = 31 + -19. Is (8/i)/((-6)/(-333)) a prime number? True Suppose 0 = 2*b + 3*z - 1, z = -5*b - 3*z - 1. Let q(p) = -p + 9. Let a be q(7). Is (-2 - b)/(a/(-158)) a prime number? True Let t = 243 + -80. Is t composite? False Suppose 5*r - 8 + 3 = 0, 0 = 2*h - 5*r - 1397. Is h prime? True Let o = 4 - 6. Let q be 1 - (o - 0) - -260. Let i = q + -178. Is i a composite number? True Let j(z) = -z**2 + 4*z + 5. Let n be j(5). Suppose -1 + n = -2*g - 3*r, 3*r = 5*g + 29. Is (-4276)/(-36) - g/18 a prime number? False Let t = 6 - 6. Let n be 2 - (-2 + t/2). Suppose n*d = 33 + 275. Is d composite? True Suppose -4*j - 128 = 32. Let g = -19 - j. Suppose 81 = 3*q - g. Is q a prime number? False Suppose -z - 67 + 290 = 0. Let b = -81 + z. Suppose 2*t = b - 12. Is t a prime number? False Suppose 4*r - 7181 = -2*l + 5*r, -7161 = -2*l + 5*r. Is l a composite number? False Let b = 11 - 11. Let p = 6 + b. Is p a prime number? False Let p = -3 + 6. Suppose -2*r + 4 + 0 = 0. Suppose r*f + 33 = p*f. Is f a prime number? False Is (1 - -2394)*(6 - 5) a composite number? True Suppose 0 = h - 6*h + 10. Let c(m) = 3*m**2 - m**2 + 58 - m**3 - 3*m**h. Is c(0) a composite number? True Let l(y) = 12*y + 5. Let h(m) = 5*m - 1. Let w be h(1). Is l(w) a prime number? True Suppose -3*c + 4*c = 7934. Is c composite? True Let z(m) = m**2 - 2*m - 9. Let u be z(-6). Is (u/5)/(7/35) prime? False Suppose 0 = 5*d - 3*p + 645 + 54, 0 = -2*d - 3*p - 267. Let f = -71 - d. Suppose -u = -0 - f. Is u a composite number? False Let b(u) = u**2 - u + 86. Let q be b(0). Let h = q + -60. Let z = h - 12. Is z composite? True Suppose 20 = 5*a, 3*p + 2*a = 2121 + 788. Is p prime? True Suppose 0 = 3*h - 2*h. Suppose 2*u + c - 74 = h, 0 = -0*c + 5*c. Is u a prime number? True Suppose -983 = 5*c - 4828. Is c a prime number? True Let w(b) = 13*b**2 + 4*b + 3. Is w(-2) a composite number? False Is 118 + 2 + -2 + 1 prime? False Is 6/(-4) - ((-86645)/(-10))/(-1) prime? True Suppose 5*a = 383 + 212. Suppose -5*b + a = x, 3*b - b - 2*x - 38 = 0. Is b prime? True Is 1*1/(2/4322) prime? True Let a(b) = 2*b**2 + 24*b + 15. Is a(-16) prime? False Let w = -13628 + 19483. Is w a composite number? True Let m = -2 - -2. Suppose m*q = 4*q + 52. Let k = 26 + q. Is k prime? True Suppose 4*t = -0*t + 12. Suppose 316 + 29 = t*g. Is g a prime number? False Let q = 3 - 0. Let b(o) = -4 - q*o + 2*o - o. Is b(-3) a prime number? True Let o(m) = m**3 + 5*m**2 + m + 7. Let a be o(-5). Suppose -4*g - 8 = -x + 79, 4*x + a*g = 384. Is x a composite number? True Let v(r) = -1966*r**3 - 2*r**2 - 4*r - 1. Is v(-1) prime? False Let g be (-8)/10*15/(-6). Suppose 0 = 3*i + 2*i - 25. Let b = g + i. Is b composite? False Let q = -51 + 36. Let j = 2 + -11. Let u = j - q. Is u prime? False Let w(s) = s**3 + s**2 - s + 1. Let n be w(1). Suppose 0 = n*c - 3*c. Suppose -z + 4*z - 111 = c. Is z a prime number? True Let a(d) = -14*d**3 - 13*d**2 - 32*d - 14. Let i(l) = -5*l**3 - 4*l**2 - 11*l - 5. Let k(y) = 4*a(y) - 11*i(y). Is k(-8) prime? False Let x(k) = k**2 - 12*k - 7. Is x(13) prime? False Suppose 0 = 2*k + 4*s - 302, 2*k - s - 2*s - 337 = 0. Suppose -h + 2*h = k. Is h a composite number? True Suppose 5*o + 5*v = 2235, 4*o - 1808 = 5*v - 4*v. Is o composite? True Let m be 4/10 + (-72)/(-20). Suppose 0 = 5*j + m*a + a - 35, 0 = -3*j - 4*a + 25. Is j prime? True Suppose 26*a - 826 = 24*a. Is a a composite number? True Let i(u) = 15*u**2 + 15*u - 7. Is i(-9) a composite number? True Let o(m) = -3*m + 4*m + 1 + 38*m**2 + 0 - 3*m. Is o(1) a prime number? True Let u(o) = o + 8. Let g(b) = -b**3 - 4*b**2 - b + 2. Let l be g(-4). Let k = -11 + l. Is u(k) composite? False Let n(q) = -12*q**3 - 2*q. Let b be n(-2). Let o = 96 - 42. Let g = b - o. Is g a prime number? False Suppose 3*k - 18 - 3 = 0. Let f = 7 - k. Suppose 4*g - 76 = -f*g. Is g prime? True Let g(u) = u**2 + 6*u + 1. Suppose -2 + 14 = -2*p. Let y be g(p). Is (1 + 89 - y)/1 a composite number? False Suppose 0*y - 2*y = -442. Suppose a + 0*l - 219 = -4*l, y = a + 5*l. Is a composite? False Let v be 2*-1*10/(-4). Suppose -76 = -v*w + 19. Is w a composite number? False Let w(x) be the second de
{ "pile_set_name": "DM Mathematics" }
imal places? -3 Let y = 1030215.2200312 + -1030173.22. Let m = y - 42. Round m to 6 dps. 0.000031 Let q = -95.999966 - -96. What is q rounded to five dps? 0.00003 Let n(j) = j**3 + 5*j**2 - 3*j - 1. Let m be n(-5). Suppose 4*v = -m - 58. Round v to zero dps. -18 Let k = 37 - 83. Let j = -8.46980273 - 37.53019834. Let z = j - k. What is z rounded to 7 dps? -0.0000011 Let v = 120.1 - 115. Let m = 5.10000231 - v. What is m rounded to 7 dps? 0.0000023 Suppose -395 = 4*q + 2*y + 3843, -5*y = 5*q + 5295. Round q to the nearest one thousand. -1000 Let d = 5211.77 + -5243. Round d to one decimal place. -31.2 Let h = 6827 + -10984. Let t be h/4 - (-9)/(-12). Round t to the nearest 100. -1000 Suppose -5*h + 4*h - 53060 = 0. Round h to the nearest 10000. -50000 Let k = 6.01 + -0.01. Let v = 18 - k. Let g = -11.999978 + v. Round g to 5 decimal places. 0.00002 Suppose 4*q + 1749 = -3*s, 4*s - 11 - 9 = 0. What is q rounded to the nearest 100? -400 Let h = 25 - 31. Let c = h - -6.00075. What is c rounded to 4 dps? 0.0008 Let s = 93 + -56. Let f = 68 - s. Let v = -30.973 + f. Round v to two decimal places. 0.03 Let i = 120 - 124.16. Let z = i - -6. Round z to 1 dp. 1.8 Let u = -106734 + 70483. Let c be 4*10*(1 + u). What is c rounded to the nearest 100000? -1500000 Let c = -6444 + 2344. Round c to the nearest one thousand. -4000 Let m = 392 - 434.6. Let t = 50 + m. Round t to 0 dps. 7 Let z = 0.0569 + -0.0569597. Round z to 5 decimal places. -0.00006 Let b be 2/13 - 137068/(-26). Let n be b - -2*1/(-2). Suppose -4402 = -z - s, z + 2*s - n = -867. What is z rounded to the nearest one thousand? 4000 Suppose 119*t + 5 = 120*t. Suppose -35400 = -t*p - p. What is p rounded to the nearest one thousand? 6000 Suppose -v + 5*z = -37015, 12*v + 74015 = 14*v - 5*z. What is v rounded to the nearest one hundred thousand? 0 Let v = 1674.1386 + -1674. Let g = -0.007 - 0.117. Let i = v + g. What is i rounded to three dps? 0.015 Let s(t) = 51*t - 3*t**2 - 2*t**2 - 49*t + 2002*t**3. Let r be s(2). Round r to the nearest 10000. 20000 Suppose 0 = -3*z + 5*c - 5459985, -9*z + 7*z - c = 3640003. Round z to the nearest 100000. -1800000 Let k = -4.534 + -0.254. Let w = k - 0.112. Let t = w - -4.8959. What is t rounded to 3 decimal places? -0.004 Let p(x) = 221*x + 24. Let y be p(16). Round y to the nearest 100. 3600 Let h = -1177 - -1153.49. Let d = h - -0.51. Let m = d - -23.000196. What is m rounded to five decimal places? 0.0002 Let b = 7.930005339 + -7.93. Round b to 6 dps. 0.000005 Let a = 23.7 + -23.700002625. Round a to seven decimal places. -0.0000026 Let r = 5.6685723 - 21.8685812. Let w = 16.2 + r. What is w rounded to 6 dps? -0.000009 Suppose 7*r = -9*r + 572800. Round r to the nearest 10000. 40000 Let n = -23045438.00211 + 23045282. Let p = n + 156. What is p rounded to 4 decimal places? -0.0021 Let l = -101 - -344. Let s = -243.000000183 + l. Round s to seven decimal places. -0.0000002 Let s = -2531 - -2530.99488. Round s to four decimal places. -0.0051 Let o = -53 + 55.7. Let r = o + -9.9. Round r to the nearest integer. -7 Let x = -70.235 + 70. Let m = -0.23802 - x. Round m to four dps. -0.003 Let q = -306616897 - -485205147. Let r be (-1)/(-3 + q/59529415). Let s = r + 2605883. Round s to the nearest one million. -9000000 Let o(z) = -5*z**2 - 2*z + 838000. Let f be o(0). Round f to the nearest 100000. 800000 Let d = -83 + 94. Let w = -3 + 43. Let j be w/(-220) + 495002/d. What is j rounded to the nearest 10000? 50000 Let i = 746 - 244. Round i to the nearest 10. 500 Let l = 25 - 24.75. Let j = l - 0.249906. Round j to 5 decimal places. 0.00009 Let y = 324.2 + -325.749. What is y rounded to one dp? -1.5 Let p = 2223.039 + -2220.0390008. Let f = -3 + p. Round f to 6 dps. -0.000001 Let y = 0.1377 + -0.137139. Round y to 5 decimal places. 0.00056 Let w(y) = -y**3 - 25*y**2 + 64*y + 46. Let g be w(-26). Round g to the nearest 10. -940 Let z(b) = 93*b**3 + 3*b**2 - 11*b - 1. Let m be z(-10). Let r = m - -187589. Let q be 2*r + 16/4. Round q to the nearest one hundred thousand. 200000 Let p(q) = 2025003*q**2 - 2*q - 7. Let v(g) = g**2 - 1. Let j(u) = -p(u) + 3*v(u). Let w = 287 - 289. Let o be j(w). Round o to the nearest one million. -8000000 Let m be (-2)/6 - (-1)/3. Suppose l + 2 = -m. Let p be 150015/10 + 3/l. What is p rounded to the nearest one thousand? 15000 Let z be (-9)/(((-12)/8)/1). Let b be 22/z*8701*-39. Let x = b - -6344243. Round x to the nearest 1000000. 5000000 Let k = -175.6895286 + 186.48952773. Let u = 10.8 - k. Round u to 7 dps. 0.0000009 Let m = 70.06474015 - 0.06132015. Let j = 70 - m. Round j to four decimal places. -0.0034 Suppose 3*d + 749909 = k, -2*d + 1716534 = 3*k - 533160. Round k to the nearest ten thousand. 750000 Let h = 32667.4745 + -32838.4. Let x = h + 171. What is x rounded to two decimal places? 0.07 Let r = -506.69556 - -507.67. Let b = r - 1.0344395. Let a = -0.06 - b. Round a to seven decimal places. -0.0000005 Let r = 18966506 - 12653506. What is r rounded to the nearest 1000000? 6000000 Let t(m) = m - 8703. Let l be 4/26 + (-189)/(-39). Let p(f) = 2*f - 17405. Let k(b) = l*t(b) - 3*p(b). Let i be k(0). What is i rounded to the nearest 1000? 9000 Let k = 39 + -64. Let p = -4.2 - 23.4. Let z = k - p. Round z to 1 dp. 2.6 Let s = -909 - -909.2679. Let r = 0.255 - s. Round r to 3 decimal places. -0.013 Let b(y) = 640001*y - 10. Let p(v) = -v**2 + 8*v + 3. Suppose -5*a = -4*a - 7. Let n be p(a). Let s be b(n). Round s to the nearest 1000000. 6000000 Suppose 4*d + 5*d - 332820000 = 0. Round d to the nearest 1000000. 37000000 Suppose 0 = -r - 3, -3*x + 6*x - 7809006 = 2*r. What is x rounded to the nearest one million? 3000000 Let j = -12557565 - -12556728.8701. Let i = 836 + j. Let n = i + 0.136. What is n rounded to 3 decimal places? 0.006 Let r = 4.6 + -7.1. Let a = -2.5125 - r. Round a to three decimal places. -0.013 Let s = -48 + 54. Suppose -8*h + 240 = -s*h. Round h to the nearest 10. 120 Let b = 30.99999014 - 31. What is b rounded to six dps? -0.00001 Let w = -2.12 + 2. Let h = w - 0.86. Let c = h - -0.97906. What is c rounded to four dps? -0.0009 Let q = -35.7 - -35.699345. Round q to five decimal places. -0.00066 Let q = -2044 + 2020.78. What is q rounded to the nearest integer? -23 Suppose 2*z + 278 = 3*d - 1851, -3*d + 2125 = 2*z. Suppose 5*u + 1801 + d = 0. Round u to the nearest one hundred. -500 Let l = -77623.98299894 - -77609.983. Let r = l - -14. What is r rounded to 7 decimal places? 0.0000011 Let v = 179 - 179.010384. Round v to 3 decimal places. -0.01 Suppose 3*m - 884995 = -w, 0 = -7*m + 6*m - 2*w + 294990. What is m rounded to the nearest one hundred thousand? 300000 Let n = 21.3 + -20.29. Let q = n - 1.01314. What is q rounded to four dps? -0.0031 Let u = -0.0428 + 74.1428. What is u rounded to 0 dps? 74 Let u = 3701565 + -2020565. Round u to the nearest 100000. 1700000 Let p = 29 - 20. Let x = p - 8.84. What is x rounded to one decimal place? 0.2 Let d = -88 + -217. Let i = d - -304.9999678. What is i rounded to 6 decimal places? -0.000032 Suppose -4*y - 17179984 = -6*y + 4*s, -5*y - s = -42950004. What is y rounded to the nearest one hundred thousand? 8600000 Let s = -173572.23 - -173578.8299999. Let y = -6.6 + s. Round y to 7 decimal places. -0.0000001 Let o be -2*(12/8 + -2). Let w be o/(-2)*(0 + 0). Suppose 3*f = 4*i - 34400006, f + 0 + 2 = w. What is i rounded to the nearest 1000000? 9000000 Let s = 17.83 + -16.8155. Let b = 1.03 - s. Round b to 2 decimal places. 0.02 Let w = -42.6 - -370.3. What is w rounded to the nearest 100? 300 Suppose 5*r - 8*r = -11100. Suppose 4*s = -5*m - 3700, 4*m + r = -m - 2*s. Let p be (0 + -60)*m/3. What is p rounded to the nearest 1000? 15000 Let n = -36726.27 + 36722.742043. Let i = n + -0.472147. Let v = i - -4. What is v rounded to five dps? -0.0001 Let n = -2272235 - -2272236.200013. Let x = n - 1.2. Round x to 6 dps. 0.000013 Suppose 0 = 2*c - 7*c + 60. Suppose -15*j + 18 = -c*j. Let n be -121993 - j - (0 + 1). What is n rounded to the nearest 10000? -120000 Suppose w + 42 = 7*w. Suppose -w*p - 13158 = -p. Let l = p + -10207. What is l rounded to the nearest one thousand? -12000 Let r = 97.8 + -97.800563. Round r to 5 decimal places. -0.00056 Let y = -681 + 335. Roun
{ "pile_set_name": "DM Mathematics" }
). 132 Let u(l) = -l**3 + 5*l**2 - 4. Let f = -5 + 9. Calculate the lowest common multiple of u(4) and f. 12 Suppose -y - 4*m - 26 = -3*y, 3*y - 2*m - 19 = 0. Find the common denominator of y + (76/(-72) - 3) and ((-138)/4)/(6 - -1). 126 Find the common denominator of (255/(-220))/3 + 2 and -25/24. 264 Let d = 1134/5 + -4061/20. What is the common denominator of d and (31/3)/((-2)/9)? 4 Let x = 1694 + -3457/2. Calculate the common denominator of ((-4)/(8/(-33)))/(-10) and x. 20 Let q(g) = -g**2 - 18*g - 23. Let m be q(-17). Let b = 3 - m. What is the least common multiple of b and 9? 9 Calculate the common denominator of (-1)/(-8)*(446/9 - 2) and 65/4. 36 Let l be ((-10)/50)/((-2)/10). Calculate the common denominator of 567/14 - (l - -2) and 12/7. 14 Let u(f) = 6*f - 4. What is the smallest common multiple of u(1) and 6? 6 Let g = 1511/136 + -106/17. Let l = -288 - -836/3. Find the common denominator of l and g. 24 Let n = 1 - -3. Calculate the smallest common multiple of 40 and n. 40 Let l be 5/14*1/10. Let j = l - 5/4. Find the common denominator of 41/12 and j. 84 Suppose -l - b - 5 = 0, b + b + 13 = -3*l. What is the smallest common multiple of 9 - (1 + l + 4) and 2? 14 Suppose -4*d - 25 = d. What is the common denominator of ((-10)/(-88))/(d/(-60)) and (14/8)/((-5)/(-4))? 55 Suppose 0*m = -3*m + 33. What is the least common multiple of m and 8? 88 Suppose 2*d + 90 = 7*d. What is the lowest common multiple of 12 and d? 36 Let h be (4/282)/((-3)/(-9)). Let u = h + -75/658. What is the common denominator of u and -31/18? 126 Suppose 4*t = 15 - 3. Suppose 0 = 3*z + t*b - 105, -b = -z + 4*b + 65. Calculate the lowest common multiple of 16 and z. 80 Calculate the least common multiple of 1/4 + (2 - (-6)/8) and 18. 18 Let i = -195/8 + 2335/72. Calculate the common denominator of -49/2 and i. 18 Suppose 5*x - 4*w - 6 = 0, -3*w - 30 = 4*x - 10. Let k = -555 + 783. What is the common denominator of -59/9 and k/40 - 1/x? 45 Find the common denominator of -75/4 and 87*(3 - 46/16). 8 Let k = -719255/1122 + 10930/17. What is the common denominator of k and -59/18? 198 Suppose -2 = -4*q + 5*i + 74, 3*q - 38 = -i. Let u be -11*(-53 - -3) + 0. What is the least common multiple of q and u/40 - (-1)/4? 14 Let i = 1 - -23. Suppose -5*j = -i - 21. Suppose 0 = -3*l - 5*z + 29 + 24, -3*l + 49 = 4*z. What is the lowest common multiple of l and j? 99 Let i be (9 + -1)*(-1)/(-2). What is the common denominator of ((-138)/i - -1)/(-1) and 62/9? 18 Let l(q) = 2*q - 3. Let o be l(5). Let w(v) = -55*v - 5. Let j be w(o). Let u = 853/2 + j. Calculate the common denominator of u and 35/8. 8 Suppose -4*q - 158 = -5*q + 4*t, -3*q + t = -496. Calculate the lowest common multiple of 22 and q. 1826 Suppose 3*l = -b + 38, -2*l + 3*b = -24 + 6. What is the least common multiple of l and 6? 12 Let x = -3835 + 42232/11. Find the common denominator of x and -37/7. 77 Let v = -7395/44 - -675/4. Let t = -511/88 + v. Find the common denominator of t and -45. 8 Let i = -5657/16 + 354. What is the common denominator of i and -9/4? 16 Let j be 1/(1/15*1). Suppose -2*p + 3 = -r, 4*p - p = 5*r + j. Calculate the common denominator of (-9)/132*(-190)/r and -13/18. 198 Suppose v - 4*v + 36 = 0. What is the smallest common multiple of v and 22? 132 Let z = 12 - 2. What is the smallest common multiple of 10 and z? 10 Let j = 810 - 149. Suppose -2*d = -v - 329, j = 4*d - 0*v - v. What is the common denominator of -1 - d*3/24 and -1/7? 28 Let w = -2/1733 + 77993/6932. What is the common denominator of -15/7 and w? 28 Let g = -21 + 30. What is the smallest common multiple of g and 8? 72 Let m = -8 + -10. What is the smallest common multiple of 8 and (-2 - m)/(3/3)? 16 Let g = 15416 - 1372059/89. Let l be 2/2 + (-10450)/(-2848). Let i = l - g. Find the common denominator of i and -11/12. 48 Let c = 63 - 39. What is the least common multiple of c and 15? 120 Let g be 992*(-3)/6*7. Let f = g - -31306/9. What is the common denominator of f and 58/5? 45 Suppose 4 = -4*s - 4. What is the common denominator of 61/22 and 1*s - 13/20? 220 Let c be 311272/(-5) + (-6)/(-15). Let o = -23967908/385 - c. Let a = 1/154 + o. Find the common denominator of -34/11 and a. 110 What is the common denominator of 7/12 and 5 - 4 - (2 + 88/6)? 12 Let r(d) = -7*d**3 - 3*d**2 + 3*d + 4. Let t(g) = -20*g**3 - 9*g**2 + 9*g + 12. Let j(u) = -17*r(u) + 6*t(u). What is the least common multiple of 5 and j(-4)? 40 Let d be 1/(-2*(-3)/(-54)). Let x = -20 - d. Let t = x + 25. Calculate the lowest common multiple of t and 12. 84 Suppose 52 - 2 = -5*f. Let u be (-1)/((-15)/6)*f. Let q = 15 + u. What is the smallest common multiple of q and 10? 110 Suppose -20 = -5*a, 7*u - 3*a - 48 = 2*u. Suppose n = 5*v + 39, v - 6 = -3*n + 31. What is the lowest common multiple of n and u? 84 Suppose -t - 10 = 2*a, 0 = -t - 4*a - 10. Let p = t - -15. Calculate the common denominator of ((-21)/(-150))/(2/p) and 23/20. 20 Let x = -2580/11 + 233. What is the common denominator of 2/9 + 166/(-180) and x? 110 Suppose 0 = 20*b - 24*b + 40. Let t(z) = -z**2 + 11*z - 4. What is the least common multiple of t(b) and 12? 12 What is the smallest common multiple of 9 and ((-1)/(-4))/(1/4)? 9 Suppose g - 5*g + 10 = -3*z, 3*g = 3*z + 6. Let a = z + -2. Let r(x) = x**3 + x**2 - x + 9. Calculate the least common multiple of 2 and r(a). 18 Calculate the least common multiple of 9 and (-3)/(-5) - (642/(-30) - 5). 27 Let g(k) = -k**2 + k + 18. Let c be g(0). What is the common denominator of 4/(-6) - (-257)/12 and 6/(-27) - 689/c? 4 Calculate the lowest common multiple of (1/1*11)/(3 - 2) and (-20)/(-3) - 1/(-3). 77 Suppose 1 = -q + 2. Let n(c) = c**3 + c**2 - 2*c + 1. Calculate the lowest common multiple of n(1) and q. 1 Let p = -10 + 2. Let u(j) = -j - 3. Let r be u(p). Suppose 41 + 69 = r*g. Calculate the smallest common multiple of g and 16. 176 Let l be (1/(-2))/((-5)/70). Let r = 11 - -8. Let n = r - l. What is the least common multiple of n and 4? 12 Suppose -b + 3*j - 7 = 15, 0 = -4*b - 4*j - 104. Calculate the common denominator of ((-1)/(-18))/((-1)/44) and b. 9 Let m be (-6)/(-10) - 44/(-10). Suppose -f = q + 11, 0 = -m*f - 0*q + 5*q - 85. Find the common denominator of 4/f - (-1564)/(-112) and -63/5. 20 Let x be (4/(-27))/((-2)/(-687)). Let a = 1021/18 + x. Let b = 3/2 - -46/3. What is the common denominator of b and a? 6 Let a be 1*3/(-3) + -395. Calculate the least common multiple of 6 and (-4)/14 - a/63. 6 Let a = 2 + 9. Suppose 1 = -5*v + a. Calculate the lowest common multiple of 4 and v. 4 Suppose 2*q + 3*p = p + 168, 0 = 3*q + 4*p - 248. Suppose 2*c + x - 20 = 23, 4*x = 5*c - q. Let v = -18 - -36. What is the lowest common multiple of c and v? 180 Let h be (-8*3)/(6/(-9)). Let g = h + 24. What is the common denominator of 53/20 and ((-6)/g)/(2/(-53))? 20 Let z = -12688/699 - 7/466. What is the common denominator of ((-132)/56 - -1)*3 and z? 42 Let q = 22/105 + -277/105. What is the common denominator of 33 and q? 7 Suppose -5*c - 3147 - 5538 = 0. Let f = 31295/18 + c. What is the common denominator of f and 4/10*(-780)/128? 144 Let s be (-5)/15 + (-13)/(-3). Suppose -3*h + 1 = 2*p - 26, -s*h + 40 = 3*p. Suppose t - 55 = -4*t. Calculate the smallest common multiple of p and t. 132 Let p = -7034 + 4370. Let q = -21273/8 - p. Let j = -2978/5 + 584. Find the common denominator of j and q. 40 Let v(y) = 1. Let n(j) = j + 11. Let u(l) = 2*n(l) - 18*v(l). Let i = -22844/9 + 2545. Calculate the common denominator of i and u(-4). 9 Let t = -2269/2 + 1165. What is the common denominator of t and -71/28? 28 Let t = -49 + 51. Calculate the lowest common multiple of t and 4. 4 Let l = -11213/30 + 1100/3. What is the common denominator of 38/(-15)*(-27)/6 and l? 10 Let q = 4 + -4. Let u = q - -4. Suppose u*g + 9 + 15 = 5*b, -2*b + 32 = 4*g. What is the smallest common multiple of 14 and b? 56 Let r be (-33)/(-45)*2037/2. Let o = r + -2995/4. What is the common denominator of o and 1/4 - (-83)/(-36)? 180 Let j = 1243226754485/104373566 - 4/4744253. Let h = -11915 + j. Find the common denominator of 13/14 and h. 154 Let z(s) = -s**3 - 5*s**2 + 2. Let u be z(-5). Suppose 2 - 4 = -u*j. What is the common denominator of -59/6 and -1 - (22 - (j - 0))? 6 Suppo
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 8 is divided by r. 3 Suppose a - 27 = -0*a + 2*z, -4*a + 98 = -3*z. What is the remainder when a is divided by 12? 11 Suppose -65 = -m - 4*m. What is the remainder when 37 is divided by m? 11 Let j = 43 - 27. Suppose -d - 14 - 1 = 0. Let h = j - d. What is the remainder when h is divided by 11? 9 Let b = 3 + -3. Suppose 3*s - 7 = m - 52, b = m + 3*s - 69. Calculate the remainder when m is divided by 15. 12 Let r(f) = -f - 3. Let t be r(-7). Suppose -t*p + 16 = -28. Calculate the remainder when (-190)/(-6) - (-1)/3 is divided by p. 10 Let c = 4 + 0. Let j = -1 + c. Suppose 4*x = j*h - 20, 5*h - 34 = -5*x + 46. Calculate the remainder when 23 is divided by h. 11 Let h(p) = p**2 + 9*p + 12. Let d = 70 - -15. What is the remainder when d is divided by h(-10)? 19 Suppose -4*b + 3*l + 3 = 6, 0 = -2*l + 10. Suppose 0 = 4*w - 20, -b*i - 79 = -5*i + 5*w. What is the remainder when i is divided by 18? 16 Let h = 14 + -23. Let u(b) = -2*b - 13. Let p = 22 + -9. Calculate the remainder when p is divided by u(h). 3 Suppose 4*s + 4*y + 16 = 0, -15 = -s - 4*s + 2*y. Suppose -p - 7 = 4*w, -p - 2 + 4 = w. Calculate the remainder when (-6)/(-8) + w/(-12) is divided by s. 0 Let y(j) be the third derivative of 0*j + 1/3*j**4 + 1/120*j**6 + 0 - 1/2*j**3 - 2/15*j**5 - 4*j**2. What is the remainder when 15 is divided by y(7)? 3 Suppose -1 = 3*r + 8. Let f(w) = -3*w + 16. Calculate the remainder when f(-13) is divided by (r + 2)/(2/(-38)). 17 Suppose -4*k - a = k - 22, -2*k - 2*a + 4 = 0. Suppose 3*i + 10 = 5*o, 0*i - k*i - 4 = -2*o. Calculate the remainder when -3 + 20 + (i - 1) is divided by 9. 7 Suppose -15 = -4*v + 3*v. What is the remainder when v is divided by 11 - (-1 + 6/2)? 6 Suppose 0 = 5*m - 0*m - 70. What is the remainder when 27 is divided by m? 13 Suppose -15*f + 895 = -1535. Calculate the remainder when f is divided by 33. 30 Suppose 2*p + 3 = 41. Suppose -3*o + 32 = j, 8*j + 4*o = 3*j + 171. Calculate the remainder when j is divided by p. 16 Calculate the remainder when ((-106)/8)/(7/(-28)) is divided by 27. 26 Let y(n) = n**3 - 8*n**2 + 2*n - 5. Let z be -2 - (-16 - 2/(-1)). Suppose 5*w = 2*w + z. What is the remainder when y(8) is divided by w? 3 Suppose -j + 2 + 3 = 5*m, -23 = -j + 4*m. Suppose 2*v + 2*g = 88, 3*v + 2*g - 68 - 62 = 0. Calculate the remainder when v is divided by j. 12 Let h(w) = w**2 - 2*w - 6. Let u be h(0). What is the remainder when 87/5 - u/(-15) is divided by 10? 7 Let l = 94 - 43. What is the remainder when 150 is divided by l? 48 Suppose -2*y + 25 = -v, -3*v - 25 - 95 = 3*y. Let b = 57 + v. Calculate the remainder when b is divided by 8. 6 Suppose 4*a = a + 90. Calculate the remainder when a is divided by 16. 14 Let q(x) = x**3 + 5*x**2 - 2*x - 6. Let d be q(-5). Suppose -5*l - 2*u = -0*u - 4, -3*l + 4*u = -18. What is the remainder when d*-1*(-4 - -3) is divided by l? 0 Suppose -5*d = 2*w + 81, -6*w = -w + d + 260. Let x = -35 - w. Calculate the remainder when x is divided by 7. 4 Suppose l = 14 - 10. Suppose 0 = 3*c + 5 + 10. Let u = -3 - c. What is the remainder when l is divided by u? 0 Calculate the remainder when 1/6 - (-370)/12 is divided by (-40)/(-15)*12/2. 15 Suppose 0 = -r + 3, -4*r - 96 = -5*l + 47. Let b = l - 14. What is the remainder when 48 is divided by b? 14 Let g = 6 + -6. Suppose -w + g = -6. What is the remainder when 16 is divided by w? 4 Let m(x) = -5*x. Let l be ((-2)/6)/(1/(-3)). Let w be m(l). Let s = 8 + w. Calculate the remainder when s is divided by 2. 1 Let g(t) = 6*t + 3. What is the remainder when 132 is divided by g(4)? 24 Calculate the remainder when 48 is divided by 15/(-5) + (12 - -1). 8 Suppose 15 = 3*x - 12. Let s = -6 - -31. Calculate the remainder when s is divided by x. 7 Suppose -78 = -6*g + 4*g. What is the remainder when g is divided by 11? 6 Suppose -3 = 5*o + 2, 3*o = 3*m - 12. Suppose -55 = -4*p + m*t, 4*t + 13 = -4*p + 89. What is the remainder when p is divided by 9? 7 Suppose -5*m - 19 = -79. Suppose 5*j - t - 287 = 0, 3*j + 0*j + 5*t - 189 = 0. Calculate the remainder when j is divided by m. 10 Suppose 0 = 3*y + 27 + 12. Let w = 23 + y. What is the remainder when 18 is divided by w? 8 Let g be 63/28*8/6. Suppose 33 = -0*u + g*u. Suppose -19 = -4*x + 5. What is the remainder when u is divided by x? 5 Let l = 16 + -9. Let s be (2 - 4)*1 + 2. Suppose s = 3*h + 2*t - 62, 3 = 2*h + 4*t - 41. What is the remainder when h is divided by l? 6 Let u be 28/2 + 0 + 3. Suppose d = -o + u, 2*o + 15 = 3*o + 3*d. Calculate the remainder when 69 is divided by o. 15 Suppose -3*c + 5*r + 6 = 3, -4*c = -4*r - 4. Suppose y - c = 1. Suppose 0 = 2*d - 5*b + y*b - 9, 24 = 3*d - b. What is the remainder when 26 is divided by d? 8 Suppose -w + 2*w = 16. Let o be 3/(-2)*w/(-6). Suppose -g - 15 = -c + g, o*c = -5*g + 47. What is the remainder when 25 is divided by c? 12 Let c = 75 + -56. Calculate the remainder when c is divided by 8. 3 Suppose 2*d = -0*d. Suppose d = 5*q + 2*p - 75, q - 3*p - 32 = -0*p. Calculate the remainder when 31 is divided by q. 14 Let n(p) = 6*p + 5. Suppose g + 2 = 3*g. What is the remainder when n(4) is divided by -1*g/(3/(-30))? 9 Suppose 447 = 11*j - 26. Let i(d) = 8 + 10*d - 3 - 3. What is the remainder when j is divided by i(2)? 21 Suppose 0 = 5*k + 10, -4*a + 2*k = -2*k - 988. Calculate the remainder when (-2)/(-6) + a/21 is divided by 7. 5 Let t = 30 + -20. Suppose 0*a = -2*a + t. Let y = 5 - 2. What is the remainder when a is divided by y? 2 Let g(k) = 7*k**2 + 1. What is the remainder when 15 is divided by g(1)? 7 Suppose -7*h + 45 = -2*h. What is the remainder when 25 is divided by h? 7 Let b(l) = l**3 - 10*l**2 + 2*l - 2. What is the remainder when 68 is divided by b(10)? 14 Suppose -15 = -3*c - 2*c, 5*y - 2*c - 89 = 0. Calculate the remainder when y is divided by 6. 1 Suppose -74 = -3*d - n, 98 = 3*d - 6*n + n. What is the remainder when (3 - 7) + d + 1 is divided by 6? 5 Let z = -8 + 15. Let p = 19 - z. What is the remainder when ((-10)/(-4))/((-1)/(-14)) is divided by p? 11 Let o = 16 + -2. Let k(t) = 9*t - 104. What is the remainder when k(16) is divided by o? 12 Let s(t) = t**2 + 1. Let r be s(-1). Suppose -3*z + 9 = -r*z. Calculate the remainder when 25 is divided by z. 7 Let a(o) = 2*o**2 - 5*o + 6. Calculate the remainder when 16 is divided by a(3). 7 Calculate the remainder when 23 is divided by -4 + 4 + (-2 - -2) + 5. 3 Suppose 11*u - 355 - 195 = 0. What is the remainder when 97 is divided by u? 47 Let z(t) = 10*t**2 - t + 1. Suppose -3*q - 4*u + 11 = 0, 2*q - u - 1 = -q. What is the remainder when z(q) is divided by 6? 4 Let i = -163 + 176. Calculate the remainder when 23 is divided by i. 10 Suppose -3*j - j - 51 = -3*f, -2*j = -2*f + 26. Let o = j + 40. What is the remainder when o is divided by 15? 13 Let k(b) = -b**2 + 7*b + 8. Suppose 0 = 3*d - 0*d. Suppose 2*m + d*m = 14. What is the remainder when 14 is divided by k(m)? 6 Suppose 5*i - 4*i - 25 = 0. Suppose 2*q = 3*q. Suppose 4*w + 2*p - p - 51 = q, 0 = -4*p - 4. What is the remainder when i is divided by w? 12 Let s = 119 + -28. Calculate the remainder when s is divided by 19. 15 Let a = 40 - 12. Calculate the remainder when 223 is divided by a. 27 Let l = -11 - -15. Let i(m) = m**2 - 10*m + 4. Let t be i(4). What is the remainder when l is divided by (16/t)/((-8)/20)? 0 Suppose 0 = -3*i - x + 8, 2*i - 3*i - 3*x + 8 = 0. Calculate the remainder when 2 is divided by i. 0 Suppose -4*s + 21 = -3*o, o = -s - 2*o + 9. What is the remainder when 26 is divided by s? 2 What is the remainder when 82 is divided by 403/26 + 3/2? 14 Let x = -9 - -21. Calculate the remainder when 0 + (-1*23)/(-1) is divided by x. 11 Let u(j) = -j**2 + 19*j + 24. What is the remainder when 91 is divided by u(19)? 19 Suppose -130*s - 200 = -135*s. What is the remainder when 77 is divided by s? 37 What is the remainder when 229 is divided by (7/(-5))/((-5)/75)? 19 Let b = 0 + 19. What is the remainder when b is divided by 11? 8 Let d(o) = o**3 + 5*o**2 - 8*o - 5. Suppose 15*j = 20*j - 15. What is the remainder when d(-6) is divided by j? 1 Let i(s) = -s**2 - 13*s - 21. Let q(b) = -b**3 + 5*b**2 + 7*b - 3. Let y be q(5). Calculate the remainder when (y/6)/(-1)*-3 is divided by i(-3). 7 Let o(p) = -2*p
{ "pile_set_name": "DM Mathematics" }
/3*t**3 - s*t**2 + 8/3*t + 31/3*t**4 = 0. What is t? -1, -2/7, 2/5, 1 Let c = -25 - -54. Let n = 32 - c. Factor 5*a**3 - 11*a**n - 8*a**2 + 2*a**3 + 4*a**5 + 8*a**4. 4*a**2*(a - 1)*(a + 1)*(a + 2) Suppose 5*w - 10 = -0*w. Let r = 9837/2863 + -3/409. Factor -60/7*g**4 + 8/7*g + 50/7*g**5 + r*g**w - 22/7*g**3 + 0. 2*g*(g - 1)**2*(5*g + 2)**2/7 Factor 16/7*o + 8/7*o**2 - 16/7*o**3 - 1/7*o**5 + o**4 - 16/7. -(o - 2)**4*(o + 1)/7 Let c be (-30)/9*12/(-10). Suppose n = -c*n. Suppose 3*p**2 - 3*p**3 + 0*p**2 + 0*p**3 + n*p**2 = 0. What is p? 0, 1 Suppose -6 = -3*j - 3*k, 20*j + 10 = 25*j - 2*k. Let p(g) be the second derivative of 0*g**j + 1/42*g**4 - 6*g + 0 - 1/21*g**3. Factor p(n). 2*n*(n - 1)/7 Let c(l) be the first derivative of -1/4*l**4 + 7/3*l**3 + 0*l - 3*l**2 - 13. Determine y, given that c(y) = 0. 0, 1, 6 Let k(q) be the first derivative of q**8/420 - q**6/30 + q**5/15 - 32*q**3/3 + 45. Let v(d) be the third derivative of k(d). Factor v(g). 4*g*(g - 1)**2*(g + 2) Let o(y) = -17*y**5 + 12*y**4 - y**2 - 5*y. Let a(z) = 9*z**5 - 6*z**4 + 3*z. Let g = 53 + -64. Let r(c) = g*a(c) - 6*o(c). Factor r(b). 3*b*(b - 1)**3*(b + 1) Suppose -24 = 4*i + 5*b - 17, 0 = 4*i + 4*b + 4. Let a(w) be the first derivative of 2/5*w**i - 6/5*w + 2/15*w**3 + 7. Find n such that a(n) = 0. -3, 1 Let h(q) be the first derivative of q**3 - 27*q**2/2 + 46. Factor h(j). 3*j*(j - 9) Let h(i) be the second derivative of -i**4/28 - 71*i**3/42 - 23*i**2/7 + 340*i. Solve h(j) = 0. -23, -2/3 Let i(j) = j**5 - 19*j**3 + 18*j**2 + 4*j + 4. Let z(v) = 5*v**5 - 115*v**3 + 110*v**2 + 25*v + 25. Let u(h) = 25*i(h) - 4*z(h). Let u(b) = 0. What is b? -2, 0, 1 Suppose 4*l = y + 3*y - 4, 2*y = 3*l - 3. Let t(g) be the first derivative of -4/9*g + 1/3*g**2 + 1/6*g**4 + y + 16/27*g**3. Factor t(u). 2*(u + 1)*(u + 2)*(3*u - 1)/9 Let o(v) = 13*v**4 - 16*v**3 + 19*v**2 + 4. Let h(u) = 11*u**4 - 17*u**3 + 18*u**2 + 3. Let f(k) = -4*h(k) + 3*o(k). Find j such that f(j) = 0. 0, 1, 3 Let y be 170/15 + 2/3. Suppose 5*j - 2*q - y = 0, -j + q + 12 = 3*j. Factor j + 2*u**3 + 1 - 2*u - 3 - 4*u**2 + 2. 2*(u - 2)*(u - 1)*(u + 1) Let t(f) = 36*f**4 + 110*f**3 - 19*f**2 - 109*f - 15. Let c(x) = -x**4 - x**2 - x. Let p(i) = -c(i) - t(i). Solve p(v) = 0 for v. -3, -1, -1/7, 1 Let g = -1447364/12245 + 1/2449. Let p = 119 + g. Factor 6/5*c**3 - p*c**2 - 2/5*c**4 + 0 + 0*c. -2*c**2*(c - 2)*(c - 1)/5 Let g(r) be the second derivative of -15*r**7/7 - 35*r**6/2 - 31*r**5/2 + 135*r**4/4 + 70*r**3 + 50*r**2 + 14*r. Solve g(d) = 0. -5, -2/3, -1/2, 1 Let n = 77 - 75. Solve 21*f**3 + 12*f**3 + 129*f - 24 + 126*f**n - 21*f = 0. -2, 2/11 Suppose -3*j = j + 8. Let u be (1*1/j)/(2/(-12)). Suppose 27*s**4 - 36*s**u - 27/4*s**5 - 21/4*s + 1/2 + 41/2*s**2 = 0. Calculate s. 1/3, 1, 2 Let s = -11733/2 + 5868. Factor -s*j**2 + 9/2*j - 3. -3*(j - 2)*(j - 1)/2 Suppose 3*i + 0*i = -b, -5*i + b = -0*b. Suppose 3/2 - 3/2*f**2 + i*f = 0. What is f? -1, 1 Let 6 - 6*c + 3/2*c**2 = 0. Calculate c. 2 Let a = 32 + -68. Let r be (a/150)/(4*3/(-30)). Suppose -r*s**2 + 0 - 3/5*s**3 + 0*s = 0. What is s? -1, 0 Let x(i) be the second derivative of i**7/5040 - i**6/480 - i**5/60 + 5*i**4/12 - 14*i. Let m(z) be the third derivative of x(z). Let m(g) = 0. Calculate g. -1, 4 Let t(g) be the third derivative of g**5/60 - 7*g**4/8 - 78*g**2. Suppose t(d) = 0. What is d? 0, 21 Factor 350 + 8/7*w**2 + 40*w. 2*(2*w + 35)**2/7 Let v = 126 - 110. Suppose 0*d - v = -5*z + 2*d, -3*z + 4*d = -18. Let -n**3 + 9/4*n - 1/2 - 3/4*n**z = 0. Calculate n. -2, 1/4, 1 Determine n so that -195/4*n**3 + 3/4*n**4 + 0*n**2 + 0 + 0*n = 0. 0, 65 Let b be -2 - -6*(1 - (-48)/(-81)). Let s be (-14)/(-105) + 68/90. Factor b*n**3 - s*n**2 + 0*n + 0. 4*n**2*(n - 2)/9 Let m(x) = x**2 - 13*x - 3262. Let z be m(-51). Factor 162/11 + 36/11*c + 2/11*c**z. 2*(c + 9)**2/11 Let t(v) be the second derivative of v**5/70 + v**4/42 - 8*v**3/21 - 12*v**2/7 + 90*v. Determine w, given that t(w) = 0. -2, 3 Let p be 16/(-28)*((-33)/(-22))/(-3). Let 2/7 + 1/7*m - 1/7*m**3 - p*m**2 = 0. Calculate m. -2, -1, 1 Factor 1434*s**3 - s**4 - 2 + 8*s + 2 - 2*s**2 - 1439*s**3. -s*(s - 1)*(s + 2)*(s + 4) Let i be (19*9/(-3))/(1 + 0). Let k = 172/3 + i. Factor 1/3*b**5 - 2/3*b**2 + 1/3 - 2/3*b**3 + 1/3*b + k*b**4. (b - 1)**2*(b + 1)**3/3 Suppose -309 + 315 = 3*d. Let l be (-425)/(-153) + d*(-1)/(-9). Solve -9/7*j**2 + 3/7*j**4 + 3/7*j + 6/7 - 3/7*j**l = 0 for j. -1, 1, 2 Let i(k) = -k**2 + 7*k - 1. Let j be i(4). Suppose -3*y + 1 = -j. What is t in -t**y - 5*t**2 + 2*t - 2*t**3 + 6*t**3 + 0*t**2 = 0? 0, 1, 2 Let y(h) = -11*h**5 + 44*h**4 - 89*h**3 + 64*h**2 - 16*h - 8. Let s(q) = q**5 + q + 2. Let u(b) = 12*s(b) + 3*y(b). What is c in u(c) = 0? 0, 2/7, 1, 2, 3 Factor 1/2*j**5 + 0 + 0*j**2 + 0*j - 9/2*j**3 - 4*j**4. j**3*(j - 9)*(j + 1)/2 Let r(q) = -3*q - 5. Let v be r(-5). Suppose -v*z = -6*z - 16. Factor 0*p - 4*p**2 + z*p + 0*p + p**3. p*(p - 2)**2 Factor -1/4*d**3 + 0 - 2*d + 3/2*d**2. -d*(d - 4)*(d - 2)/4 Factor 1/2*v**2 - 71/2*v + 35. (v - 70)*(v - 1)/2 Let k(m) = -m**3 + 9*m**2 + 10*m + 6. Let x(d) = 2*d**3 - 17*d**2 - 21*d - 13. Let w(p) = -11*k(p) - 6*x(p). Find f such that w(f) = 0. -2, -1, 6 Suppose 16*l - x = 19*l - 11, 5*l = 2*x + 22. Let z(r) be the second derivative of -4*r**2 + 0 + 4/3*r**3 + 3*r - 1/6*r**l. Factor z(k). -2*(k - 2)**2 Let i(p) be the first derivative of 17/18*p**3 + 2/3*p + 5/3*p**2 + 6 + 1/6*p**4. Factor i(k). (k + 2)**2*(4*k + 1)/6 Let y = 604 + -601. Determine q so that -12/13*q**y + 2/13*q**2 + 10/13*q**4 + 0*q + 0 + 24/13*q**5 = 0. -1, 0, 1/4, 1/3 Let f be ((-82)/(-10) + -5)*((-54)/(-12) - 4). Solve 6/5*p**2 - 8/5*p - f + 4/5*p**3 - 2/5*p**4 = 0 for p. -1, 2 Let u(m) be the first derivative of -m**3/30 - 7*m**2/10 - 49*m/10 - 32. Determine o, given that u(o) = 0. -7 Let y(b) be the first derivative of b**5/20 + 7*b**4/16 - b**3/12 - 7*b**2/8 - 266. Factor y(z). z*(z - 1)*(z + 1)*(z + 7)/4 Let y(s) be the third derivative of 0 + 4*s**2 - 1/105*s**7 + 0*s**3 + 0*s + 3/32*s**4 + 1/1344*s**8 - 1/10*s**5 + 11/240*s**6. Find i, given that y(i) = 0. 0, 1, 3 Let u = 14 + -12. Let q(r) = 3*r + 3. Let f be q(u). Factor f*j**3 - 6*j**2 + j + 0*j**4 + 0*j - 4*j**4 + 0*j**4. -j*(j - 1)**2*(4*j - 1) Let j(m) be the first derivative of -3 + 48*m**2 + 8*m + 169/3*m**6 + 226/3*m**3 - 217/2*m**4 - 234/5*m**5. Find h such that j(h) = 0. -1, -2/13, 1 Let g(y) = 5*y**3 + 22*y**2 - 67*y. Let c(l) = 10*l**3 + 45*l**2 - 135*l. Let h(a) = 3*c(a) - 5*g(a). Factor h(u). 5*u*(u - 2)*(u + 7) Let p(n) be the first derivative of -n**6/2 - 24*n**5/5 - 27*n**4/2 - 16*n**3 - 15*n**2/2 + 372. What is w in p(w) = 0? -5, -1, 0 Let a(i) be the second derivative of i**7/21 + 8*i**6/15 + 12*i**5/5 + 17*i**4/3 + 23*i**3/3 + 6*i**2 + 2*i + 89. Suppose a(t) = 0. What is t? -3, -2, -1 Suppose 0 = -181*p + 177*p. Let f(w) be the first derivative of -6/5*w**5 - 3/4*w**4 + p*w**3 - 1 + 0*w + 0*w**2 - 1/2*w**6. Factor f(v). -3*v**3*(v + 1)**2 Determine l, given that -238 + 25*l**3 + 5*l**4 + 70*l + 148 + 5*l**2 - 175*l = 0. -3, -1, 2 Let a(r) be the second derivative of -5*r**7/42 - 13*r**6/30 + 3*r**5/10 + 30*r. Solve a(y) = 0. -3, 0, 2/5 Factor 2/7*t**2 + 68/7*t + 578/7. 2*(t + 17)**2/7 Let r = 2281/4 + -38753/68. Suppose 0*j + 2/17*j**4 + r*j**3 + 0 + 4/17*j**2 = 0. What is j? -2, -1, 0 Let v(t) be the first derivative of -t**6/360 + t**5/45 - 5*t**4/72 + t**3/9 + 5*t**2 + 6. Let y(f) be the second derivative of v(f). Factor y(s). -(s - 2)*(s - 1)**2/3 Let s(o) be the second derivative of o + 1/3*o**3 + 7/12*o**4 + 0 + 3/20*o**5 - 7/30*o**6 + 0*o**2 - 5/42*o**7. Find z, given that s(z) = 0. -1, -2/5, 0, 1 Let d(y) = -y**2 - 3*y + 6. Let n be 18/(-6)*(-2 + 3). Let j be d(n). Find l, given that -2*l**2 + 2/9*l**3 + j*l - 6 = 0. 3 Suppose -3*z = -0 - 3. Let r(l) = 2*l**3 + 2*l**2 - 1. Let u be r(z). Factor j**u - 3 - j + 2 - 16*j**2 + 17*j**2. (j - 1)*(j + 1)**2 Let a(d) be the second derivative of d**5/20 - 25*d**4/108 - 43*d**3/9 - 28*d**2/9 - 340*d. Suppose a(x) = 0. Calculate x. -4, -2/9, 7 Let z(u) = 3*u + 1. Let d be z(1). Let 20*b - 11*b + d + 10*b**2 - 8*b - 15*b = 0. Calculate b. 2/5, 1 Let b(g) = 2*g**3 + 2*g**2 - 4*g - 6. Let d(x) = -6*x**2 - 5*x**3 - 2*x + 14*x - 4*x**2 + 19 + 5*x**2. Let i(s) = -7
{ "pile_set_name": "DM Mathematics" }
2 - 2 - y**3)*(-2*y + y + 0*y)*(-57 + 4 + 13) + (-2*y**2 + y**2 + 2*y**2)*(-3*y + 2*y**2 + 3*y). -38*y**4 Expand (110 - 49 - 48)*(2*j - 3*j + 3*j + (2*j + 4 - 4)*(1 + 4 - 6) - j - 2*j + 2*j - 1 - 4*j + 1). -65*j Expand (-l - 7*l + 4*l)*(52 - 52 + l**2) + (4*l + l - 4*l)*(3*l**2 - 3*l**2 - l**2) + 0*l**3 - l**3 - l**3 - l + l + 2*l**3. -5*l**3 Expand (3 + 2 - 4)*(-21*g + 31898 - 31898). -21*g Expand -4*r**2 + 4*r**2 + 2*r**4 + (-2 + 4 - 3)*(5 - 5 - r**4) + 3*r**4 + 0*r**4 - 2*r**4 + 74*r**4 - 31*r**4 - 30*r**4. 17*r**4 Expand -5 + 5 - 2*m + (-40*m - 93*m - 24*m)*(1 - 2 + 0). 155*m Expand 0*x + 0*x - x**3 + (0*x - x**2 + 0*x)*(0 - 2*x + 0) - 23694*x**2 + 23694*x**2 + 135*x**3 + (3 - 3 - x)*(x**2 - 4*x**2 + x**2). 138*x**3 Expand (-10*q + 17 - 17)*(-2 - 3 + 9). -40*q Expand (-14*q**3 - 38 - q + 38)*(-2 + 3*q + 2). -42*q**4 - 3*q**2 Expand (6*t - 9*t + 2*t)*(0 + 1 + 4 + (1 + 1 + 0)*(-1 - 4 + 4))*(-2*t**2 + 2 - 2). 6*t**3 Expand (-3*k**2 + 4*k**2 + 0*k**2)*(-82962 - 1192*k**2 + 82962) + (3 - 3 - k**2)*(-2 + 2 + k**2). -1193*k**4 Expand (13*c**2 - 11*c**2 - 6*c**2)*(-158*c + 158*c - 9*c**3). 36*c**5 Expand (-5*h + 2*h - 2*h)*(1 + 6 - 4)*(-2*h - 2*h**2 + 2*h + (-h - 2 + 2)*(1 - 1 + h) - h**2 + h**2 + 2*h**2 - 11*h**2 + 325 - 325). 180*h**3 Expand (10*o + 2*o + 11*o)*(-6*o**2 + 4*o**2 + 3*o**2)*(-6 + 1 + 3). -46*o**3 Expand (c**2 - 3 + 3)*(32*c**3 + 44*c**3 - 48*c**3 + (0*c + c - 2*c)*(c - c - 2*c**2) - 3*c**2 + 3*c**2 + c**3). 31*c**5 Expand (-2 + 2 - x)*(1 - 1 - x**2) + 90*x**3 - 162*x**3 - 174*x**3. -245*x**3 Expand (4 - 1 - 1)*(-28 + 15*o**2 + 28)*(0 + 0 + 2*o**2) + 6*o**2 - 6*o**2 - 2*o**4. 58*o**4 Expand (2*m**2 + 2*m**3 - 2*m**2)*(1 - 4 + 1) - 37 + 37 - 40*m**3. -44*m**3 Expand (-76 + 50 - 149)*(1 - 1 + a). -175*a Expand (-10*i + 25*i + 12*i)*(-8*i - 2*i + 2*i). -216*i**2 Expand (-q - 2*q + 2*q)*(-5 + 3 + 1)*(-60 - 28 - 9). -97*q Expand (16*g + 75 - 75)*(-15 + 9 + 6 - 46*g). -736*g**2 Expand ((-1 + 4 - 4)*(79 - 65 - 45) - 1 + 1 + 3)*(0*x + 2*x + 0*x). 68*x Expand (2 - 5 + 6)*(40*m + 39*m**2 - 40*m) + (-2 + 3*m + 2)*(-4*m - 2*m + 4*m). 111*m**2 Expand 3*o**3 - 4*o**3 + 2*o**3 + (4*o**2 + 8*o**2 - 4*o**2)*(4*o - 9*o - 19*o). -191*o**3 Expand (-2 + 5 - 2)*(h + 0*h + 0*h) + 2*h + 3 - 3 - 361*h + 208*h + 360*h. 210*h Expand (-25*u + 30*u + 30*u)*(-3 + 2 - 3). -140*u Expand (-41 + 41 + 7*n)*(2*n**3 + 2*n**4 - 2*n**3)*(-18 + 14 - 9). -182*n**5 Expand (3*f + f**2 + 2 - 2 + (-f + 0*f + 2*f)*(-1 + 2*f + 1) + 4 - f**2 - 4)*((-1 - 3 - 1)*(-4 + 0 + 3) - 4 + 3 - 2). 4*f**2 + 6*f Expand (-3*t + t + 0*t)*(51 - 10*t + 43 - 85). 20*t**2 - 18*t Expand (3*p**2 - 21*p**2 - 4*p**2)*(-p + p - p**3) + 2*p**5 - p**5 + p**5 + (0 - p**4 + 0)*(-5*p + 4*p - 2*p). 27*p**5 Expand -1 + c + 8 - 6 + (2*c - 4*c + 4*c)*(-3 + 4 + 1) - c - 2*c + 2*c. 4*c + 1 Expand 58*i**3 - 41*i**5 - 58*i**3 + (-i + 1 - 1)*(2*i**4 + 2*i**3 - 2*i**3) - 5*i**5 + 3*i**5 + 0*i**5 + 4*i**5 - 5*i**4 + 5*i**4 + 4*i**4 - 4*i**4 + i**5 + 2. -40*i**5 + 2 Expand (4*p - p - 2*p)*(0 + 0 - 2) + (-160 - 11 + 496)*(-p + 0*p + 3*p). 648*p Expand (3*j + j - 2*j)*(6*j - 2*j - 3*j) + (-39*j - 45 + 45)*(-j - 2*j + j)*(4 - 5 - 1). -154*j**2 Expand (0*a**4 + 0*a**4 + a**4)*(-5 + 10 + 10)*(3*a + a - 7*a). -45*a**5 Expand ((-2*c**2 + 2*c**2 + c**2)*(-5 - 1 + 4) - 2*c**2 + c**2 - c**2)*(1 - 2 - 2) - 22*c + 22*c + 10*c**2. 22*c**2 Expand (-94 + 41*n + 94)*(2 + 4*n**3 - 2 + 0 + 3*n**3 + 0 + (0*n**2 - 3*n**2 + n**2)*(2*n - 3*n + 0*n)). 369*n**4 Expand (b - 2*b + 2*b)*(-63*b**3 + 17*b**4 + 63*b**3) - 6*b**5 - 7*b**4 + 7*b**4. 11*b**5 Expand -4*z**4 + 3*z**4 + 0*z**4 + (-z**2 - 2*z**2 + 5*z**2)*(-3*z**2 - z**2 + 2*z**2) + 1268*z**4 - 2596*z**4 + 1133*z**4. -200*z**4 Expand (4*x**3 - 2*x**3 - x**3)*(-3 + 1 + 1) - 32*x**3 - 727*x**2 + 727*x**2 - 3*x**3. -36*x**3 Expand (2 - 1 + 0)*(8856*s**4 - 467*s + s**2 - s**2 + 467*s). 8856*s**4 Expand (-50*f**2 + 982*f - 982*f)*(2*f**2 + 6*f**2 - 4*f**2). -200*f**4 Expand 0 - 8*r**4 - 1 + 7*r**4 + (7*r**2 - 3*r**2 - r**2)*(-r + 2*r + 4*r)*(4 - 5 - 5)*(-1 + r + 1). -91*r**4 - 1 Expand (0 + 1 - 2)*(-28*o - 134 + 134). 28*o Expand 2*y**5 + 0*y**5 + y**5 + (-3*y + 3*y + 3*y**2)*(0 - 4 + 2)*(-13*y**3 - 16*y**3 + 20*y**3). 57*y**5 Expand (-m + 6*m - 3*m + m + 4 - 4 - 4*m + 3*m + 3*m + (0 - 2*m + 0)*(1 - 2 - 1))*(44 - 44 + 37*m) + 2*m**2 - 2*m**2 + m**2. 334*m**2 Expand (-n - 3*n + 2*n - n + 2*n - 3*n + (3*n - 4*n + 0*n)*(-1 - 2 + 4) + 2 + 2*n - 2)*(-3 + 5 - 1)*(6 - 1 - 2)*(-4 + 1 + 2). 9*n Expand x**2 + 0*x**2 + x**2 + (1 - 2 - 4)*(-81*x + 81*x + 5*x**2). -23*x**2 Expand (-n + 5*n - 5*n + (2 - 3 - 2)*(n + 1 - 1) + 4*n - 6*n + n)*(7*n - 2*n + n + (3 + 0 - 1)*(5*n + n - 3*n)). -60*n**2 Expand (9*i**2 - 13 + 13)*(0 - 1 - 2*i + 4*i). 18*i**3 - 9*i**2 Expand (5*b - 4*b + 6*b)*(6 - 3 + 2) - 1 + 1 - 2*b - 2*b - 3*b + 4*b + (-b + 2 - 2)*(3 + 4 - 5) - 2*b + 1 - 1. 28*b Expand (-8*w - 3 + 3)*(-2*w**4 - w**4 - w**4 + (-3 + 3 + 2*w**2)*(-w**2 - 4 + 4) + (5*w**3 - 4*w**3 - 2*w**3)*(-2*w + 4*w + 0*w) - 2*w**4 - 2*w**2 + 2*w**2). 80*w**5 Expand (-2 + 5 + 0)*(0 - 1 + 3)*(5*v**2 + 13*v**2 + 2*v**2). 120*v**2 Expand -4*y**5 + 8*y**5 + 4*y**5 + 11*y**5 - 6*y**5 - 23*y**5 + (0*y**2 - y**2 + 2*y**2)*(0*y**3 - y**3 - y**3). -12*y**5 Expand (3*h - 2*h + h)*(-21*h + 2 + 2 - 2)*(-4*h**2 - h**2 + 6*h**2)*(-4 - 3 + 5). 84*h**4 - 8*h**3 Expand (94 + 54 - 44)*(3*t**3 - 7*t**3 + t**3) + (-2*t + 2*t - t**2)*(3*t + t - 3*t). -313*t**3 Expand -1 - 2*h + 1 + (h + 1 - 1)*(-1 + 1 + 1) + 46 - 334*h - 46. -335*h Expand -2 + 2 - 2*h + (2 - 3 - 1)*(-3*h - 2*h + 3*h) - 40*h - 7*h + 2*h. -43*h Expand (2 + 0 - 8)*(7*t - 12*t - 20*t). 150*t Expand -4*u**3 - u**3 + 3*u**3 + (4*u**2 - 6*u**2 + 0*u**2)*(-2*u - u + 4*u) + 74*u**3 - 102*u**3 - 215*u**3. -247*u**3 Expand (0 + 1 + 1)*(-94023 + 94023 + 54*q)*(0 - 2 - 1). -324*q Expand 30*a**4 - 7*a**4 + 6*a**4 - 2*a**4 - a**4 + a**4 + (0 + 0 - a**3)*(3*a + 3*a - 4*a) + a**4 + 3*a**4 - 5*a**4 + 2*a - 11*a**4 - a + 10*a**4. 23*a**4 + a Expand (-4*d + 0*d + 3*d)*(2*d**2 - 2*d**2 - 3*d**2) + (d**2 - 11*d + 11*d)*(-4*d - d + 6*d). 4*d**3 Expand (18*m + 26*m + 2 + 7*m)*(m - 3*m + 4*m). 102*m**2 + 4*m Expand 5*s**3 + s**3 - 2*s**3 + (-6*s**3 + s**3 - 9*s**3)*(3 + 2 - 3). -24*s**3 Expand r - r + 2*r + 23 - 23 - 4*r + r + 7*r - 12*r + (-3*r - 3*r + 4*r)*(0 + 4 - 5) - 5*r - 4 + 4. -9*r Expand (992*w**3 - w**2 + 2*w + 3*w**2 - 1002*w**3 + 4*w**3 - 2*w**3 - w**3 + (3*w**2 + 0*w**2 - w**2)*(-3*w + 3*w - 2*w))*(-4*w**2 + 5*w**2 + 0*w**2). -13*w**5 + 2*w**4 + 2*w**3 Expand (4 - c**3 - 4)*(43*c + 48*c - 86*c + 47*c**2). -47*c**5 - 5*c**4 Expand 13*k - 3*k + 14*k + (-6*k + 4*k + k)*(0 + 1 - 2)*(0 - 1 + 3). 26*k Expand (0*p**2 + p**2 - 2*p**2)*(-2 - 1 + 4)*(3*p - 2*p - 5*p) - 84*p**3 - 64 + 64. -80*p**3 Expand (h**3 - h**4 - h**3)*(221 - 388 - 585). 752*h**4 Expand (-4 + 1 + 4)*(-14047 + 14047 + 164*h)*(-3*h + 4*h - 4*h). -492*h**2 Expand (-4*n**2 + 2*n**2 + 3*n**2)*(3 - 4 + 4)*(1 + 3*n**3 - 1)*(-26 + 1 + 12). -117*n**5 Expand (0*f**3 + f**3 - 2*f**3)*(4*f**2 - 26*f**2 - 2*f**2) + 0*f**5 - 4*f**5 + 2*f**5. 22*f**5 Expand 3*i**4 + 3*i**4 + 2*i**4 + (-20 - 4*i**2 + 20)*(-i + i + i**2) + (3*i**2 - 3*i**2 - 2*i**3)*(-3*i + 2*i + 0*i). 6*i**4 Expand -2*o**2 + 5*o**2 + 2*o**2 - 3*o**2 + 2*o**2 + 2*o**2 + (3*o - o - 7*o)*(-o + 5 - 5). 11*o**2 Expand -2*r**2 - 4*r**2 + 3*r**2 - r**2 - 3*r**2 + 3*r**2 - 3*r**2 - r**2 + 3*r**2 + (14*r - 22*r + 25*r)*(3*r - r + 0*r). 29*r**2 Expand (-j - 3*j + 3*j)*((-1 + 4 - 4)*(-2 + 4 + 8) - 2 + 3 + 0 + (-3 + 0 + 2)*(0 + 1 - 2)). 8*j Expand (-10*a + 11*a + 13*a)*(5 + 22 - 1). 364*a Expand (-3 + 2 + 2)*(-212*w + 400*w - 269*w)*(-2*w**3 - w + w). 162*w**4 Expand (-14 - 65 - 207)*(a - 3*a + 7*a). -1430*a Expand (-7 + 5*y**2 + 7)*(65*y - 5*y**3 - 64*y + 10*y**3 + (-5*y + 0*y + 3*y)*(-1 + 1 + 2*y**2)). 5*y**5 + 5*y**3 Expand (-4*z - z + 0*z)*(-6*z - 4*z + 2*z)*(-11*z**3 - 2*z**3 - z**3). -560*z**5 Expand (3*j**4 + 3*j**4 + 0*j**4)*(-6 + 7 + 0). 6*j**4 Expand 100*m + 14*m**4 + 23*m**4 - 39*m**4 + (m**2 + 0*m**2 + 0*m**2)*(m**2 - m**2 - 2*m**2). -4*m**4 + 100*m Expand (-29*i**2 + 26*i + 0*i**2 + 28*i**2)*(-11 + 11 + 2*i). -2*i**3 + 52*i**2 Expand (-u + u + 3*u**3)*(3 + 3 + 1)*(-2 + 3 + 0)*(2*u**2 - 4 + 4). 42*u**5 Expand (2*g**2 + g - g)*(30 + 39 - 15*g - 68). -30*g**3 + 2*g**2 Expand (-u + 2*
{ "pile_set_name": "DM Mathematics" }
is the w'th term of -10, -37, -98, -211, -394, -665, -1042? -3*w**3 + w**2 - 9*w + 1 What is the k'th term of 1554, 1567, 1580, 1593? 13*k + 1541 What is the y'th term of -50, -152, -278, -434, -626, -860, -1142? -y**3 - 6*y**2 - 77*y + 34 What is the f'th term of -438, -876, -1314, -1752, -2190? -438*f What is the i'th term of 60, 64, 68, 72? 4*i + 56 What is the t'th term of 13, 43, 87, 139, 193, 243, 283, 307? -t**3 + 13*t**2 - 2*t + 3 What is the r'th term of -16, 4, 38, 86, 148, 224? 7*r**2 - r - 22 What is the f'th term of 6123, 6126, 6129, 6132, 6135? 3*f + 6120 What is the c'th term of -218, -431, -646, -863? -c**2 - 210*c - 7 What is the q'th term of 15, 43, 97, 183, 307, 475, 693, 967? q**3 + 7*q**2 + 7 What is the f'th term of -2042, -2042, -2040, -2036, -2030, -2022? f**2 - 3*f - 2040 What is the c'th term of 120, 114, 96, 60, 0, -90, -216? -c**3 + c + 120 What is the q'th term of -13, -50, -149, -340, -653? -5*q**3 - q**2 + q - 8 What is the q'th term of 24, 32, 50, 84, 140? q**3 - q**2 + 4*q + 20 What is the z'th term of 22, 66, 134, 238, 390, 602, 886, 1254? 2*z**3 + 30*z - 10 What is the x'th term of -47, -89, -131? -42*x - 5 What is the o'th term of 51, 63, 73, 81? -o**2 + 15*o + 37 What is the g'th term of -6307, -6302, -6297? 5*g - 6312 What is the q'th term of -8011, -16021, -24031, -32041? -8010*q - 1 What is the h'th term of 35, 144, 325, 578? 36*h**2 + h - 2 What is the p'th term of -39, -37, -35? 2*p - 41 What is the d'th term of -233, -231, -229, -227? 2*d - 235 What is the j'th term of 35, 38, 53, 86, 143, 230, 353? j**3 - 4*j + 38 What is the x'th term of 925, 928, 931, 934, 937, 940? 3*x + 922 What is the b'th term of -231, -459, -685, -909, -1131, -1351, -1569? b**2 - 231*b - 1 What is the q'th term of -18, -22, -12, 18, 74, 162, 288? q**3 + q**2 - 14*q - 6 What is the w'th term of 163, 300, 449, 616, 807, 1028? w**3 + 130*w + 32 What is the b'th term of 152, 140, 128, 116, 104? -12*b + 164 What is the r'th term of 2, -6, -14, -22, -30, -38? -8*r + 10 What is the p'th term of 1322, 1321, 1320, 1319? -p + 1323 What is the a'th term of -36, -78, -116, -144, -156, -146? a**3 - 4*a**2 - 37*a + 4 What is the o'th term of 183, 363, 543, 723, 903? 180*o + 3 What is the j'th term of -44, -43, -42, -41? j - 45 What is the m'th term of -130, -256, -378, -496, -610? 2*m**2 - 132*m What is the t'th term of 13, 8, 3, -2, -7? -5*t + 18 What is the p'th term of 1284, 2545, 3818, 5109, 6424, 7769? p**3 + 1254*p + 29 What is the x'th term of -37, -52, -55, -40, -1, 68, 173? x**3 - 22*x - 16 What is the m'th term of -78, -59, -38, -15, 10, 37? m**2 + 16*m - 95 What is the d'th term of -161, -153, -139, -119, -93, -61, -23? 3*d**2 - d - 163 What is the k'th term of 505, 506, 507, 508? k + 504 What is the m'th term of -126, -237, -420, -711, -1146, -1761, -2592, -3675? -6*m**3 - 69*m - 51 What is the x'th term of -168, -169, -170, -171, -172? -x - 167 What is the u'th term of 12278, 12282, 12288, 12296, 12306? u**2 + u + 12276 What is the y'th term of 313, 316, 321, 328, 337? y**2 + 312 What is the w'th term of 33, 28, 19, 6? -2*w**2 + w + 34 What is the w'th term of 2073, 2074, 2075, 2076, 2077? w + 2072 What is the q'th term of 38, 160, 358, 626, 958, 1348? -q**3 + 44*q**2 - 3*q - 2 What is the r'th term of 9, 8, 5, 0? -r**2 + 2*r + 8 What is the p'th term of -124, -120, -116? 4*p - 128 What is the t'th term of 78, 82, 86, 90, 94? 4*t + 74 What is the q'th term of -19, -16, -3, 26, 77, 156? q**3 - q**2 - q - 18 What is the v'th term of 774, 3083, 6932, 12321, 19250, 27719, 37728? 770*v**2 - v + 5 What is the o'th term of 53, 103, 185, 299, 445? 16*o**2 + 2*o + 35 What is the l'th term of -991, -984, -977? 7*l - 998 What is the g'th term of 582, 598, 624, 660, 706? 5*g**2 + g + 576 What is the x'th term of -81, -316, -707, -1254, -1957, -2816? -78*x**2 - x - 2 What is the n'th term of 325, 562, 799, 1036, 1273, 1510? 237*n + 88 What is the r'th term of -37, -70, -139, -256, -433, -682? -2*r**3 - 6*r**2 - r - 28 What is the n'th term of -212, -77, 44, 145, 220, 263? -n**3 - n**2 + 145*n - 355 What is the b'th term of 3, 31, 87, 177, 307? b**3 + 8*b**2 - 3*b - 3 What is the h'th term of -27, -56, -107, -192, -323, -512, -771? -2*h**3 + h**2 - 18*h - 8 What is the s'th term of 61625, 61623, 61621? -2*s + 61627 What is the k'th term of -8, -67, -234, -563, -1108, -1923, -3062, -4579? -9*k**3 + 4*k - 3 What is the c'th term of 61860, 61859, 61858, 61857? -c + 61861 What is the h'th term of -199, -193, -187, -181? 6*h - 205 What is the v'th term of -1415, -1417, -1421, -1427, -1435, -1445, -1457? -v**2 + v - 1415 What is the x'th term of -21, -20, -17, -12, -5, 4, 15? x**2 - 2*x - 20 What is the u'th term of 72, 152, 232, 312, 392, 472? 80*u - 8 What is the d'th term of 120, 227, 414, 687, 1052, 1515, 2082? d**3 + 34*d**2 - 2*d + 87 What is the h'th term of 37, -69, -351, -893, -1779? -14*h**3 - 4*h**2 + 4*h + 51 What is the n'th term of -1, -1, -37, -139, -337, -661, -1141, -1807? -5*n**3 + 12*n**2 - n - 7 What is the d'th term of -270, -472, -674, -876, -1078, -1280? -202*d - 68 What is the k'th term of -175, -186, -205, -232? -4*k**2 + k - 172 What is the l'th term of 11, 62, 149, 272? 18*l**2 - 3*l - 4 What is the p'th term of -15, -39, -63, -87? -24*p + 9 What is the i'th term of 32, 285, 962, 2273, 4428, 7637? 35*i**3 + 2*i**2 + 2*i - 7 What is the v'th term of 20, 50, 80? 30*v - 10 What is the m'th term of -30, -53, -76, -99? -23*m - 7 What is the i'th term of -2113, -2117, -2121, -2125? -4*i - 2109 What is the w'th term of -15, -14, -13, -12, -11? w - 16 What is the s'th term of 4732, 9462, 14192, 18922, 23652, 28382? 4730*s + 2 What is the i'th term of 25, 21, 15, 13, 21, 45? i**3 - 7*i**2 + 10*i + 21 What is the s'th term of 1290, 2577, 3864, 5151, 6438? 1287*s + 3 What is the x'th term of -3, 0, 1, 0, -3, -8, -15? -x**2 + 6*x - 8 What is the h'th term of -32, -43, -78, -149, -268, -447, -698, -1033? -2*h**3 + 3*h - 33 What is the m'th term of 361, 352, 343, 334, 325? -9*m + 370 What is the a'th term of 4469, 4473, 4479, 4487, 4497, 4509? a**2 + a + 4467 What is the b'th term of -3, 24, 51, 78, 105, 132? 27*b - 30 What is the v'th term of -11712, -11710, -11708, -11706? 2*v - 11714 What is the r'th term of 34, 82, 142, 214, 298, 394? 6*r**2 + 30*r - 2 What is the j'th term of 9, 24, 33, 30, 9, -36, -111, -222? -j**3 + 3*j**2 + 13*j - 6 What is the t'th term of -28, -69, -122, -193, -288, -413, -574, -777? -t**3 - 34*t + 7 What is the k'th term of 103, 158, 225, 310, 419, 558? k**3 + 48*k + 54 What is the o'th term of -24, -25, -26, -27, -28, -29? -o - 23 What is the k'th term of 7693, 15388, 23083, 30778, 38473, 46168? 7695*k - 2 What is the f'th term of 2474, 4949, 7424, 9899, 12374? 2475*f - 1 What is the y'th term of -27, -97, -211, -369? -22*y**2 - 4*y - 1 What is the s'th term of 8741, 8740, 8739, 8738, 8737? -s + 8742 What is the t'th term of 57, 95, 133, 171? 38*t + 19 What is the z'th term of 231, 455, 677, 897, 1115? -z**2 + 227*z + 5 What is the g'th term of 728, 1459, 2190, 2921? 731*g - 3 What is the p'th term of -75, -151, -227, -303, -379, -455? -76*p + 1 What is the j'th term of -136, -274, -412? -138*j + 2 What is the v'th term of -12312, -12314, -12316, -12318, -12320? -2*v - 12310 What is the l'th term of 256, 514, 772, 1030? 258*l - 2 What is the s'th term of -3, -3, 13, 57, 141, 277? 2*s**3 - 4*s**2 - 2*s + 1 What is the j'th term of -6366, -6367, -6368? -j - 6365 What is the f'th term of -54, -204, -452, -798, -1242, -1784, -2424? -49*f**2 - 3*f - 2 What is the z'th term of -131, -138, -143, -146? z**2 - 10*z - 122 What is the o'th term of 4, 10, 28, 64, 124, 214, 340? o**3 - o + 4 What is the h'th term of -630, -625, -620, -615, -610? 5*h - 635 What is the u'th term of 1724, 1726, 1728, 1730, 1732, 1734? 2*u + 1722 What is the m'th term of 6491, 6489, 6477, 6449, 6399, 6321? -m**3 + m**2 + 2*m + 6489 What is the b'th term of 16, 35, 54, 73? 19*b - 3 What is the z'th term of -84, -247, -520, -903, -1396? -55*z**2 + 2*z - 31 What is the n'th term of -125, -129, -133, -137, -141? -4*n - 121 What is the l'th term of -522, -1042, -1564, -2088? -l**2 - 517*l - 4 What is the t'th term of -415, -823, -1241, -1
{ "pile_set_name": "DM Mathematics" }
2 Rearrange (-2*y - 3 + 3)*(158 + 1003 + 1675 - 3 - 3 + 2 + (-2 + 4 - 3)*(-4 + 5 + 1) + (1 + 1 - 3)*(-1 - 2 + 1)) to the form u + s*y and give s. -5664 Express -716*r + 328*r - 1 - 1619*r + 0 - 557*r in the form u*r + a and give a. -1 Express -1619*n**2 + 1620*n**2 + 2828*n + 5521*n in the form b + l*n + t*n**2 and give t. 1 Express -211*k + 418*k + k**2 - 339 - 208*k - 8 in the form v*k**2 + b + n*k and give v. 1 Rearrange (-h + 3 - 3)*(0*h + 4*h - 3*h) - 3*h + 1293497 - 1293497 + 278*h**2 to b*h**2 + n + v*h and give v. -3 Rearrange (-649 + 390 + 320)*(-5*y**3 - 2*y**3 - 4*y + 3*y**3) to the form u + w*y**2 + o*y + j*y**3 and give j. -244 Express (48*b - 123*b + 52*b)*(10 - 14*b + 15*b - 1) in the form t + v*b + l*b**2 and give v. -207 Rearrange (4*n + n - 2*n)*(-n**2 + n**2 - 2*n**2) + (5 + 2 - 5)*(3*n + 0*n - n)*(-67*n + 67*n + 31*n**2) to the form f + h*n + c*n**2 + u*n**3 and give u. 118 Rearrange -6*m + m + 4*m - 1 - 2*m + 1 + (1 - 3 + 0)*(3*m + 3*m - 4*m) - 7780*m + 5082 - 5082 to n*m + u and give n. -7787 Express (138*k - 152*k - 161 + 19*k)*(-4 + 4 - 33) as b + s*k and give b. 5313 Rearrange -48111598 + 48111598 + 20083*x to the form m + j*x and give j. 20083 Rearrange -17*g**3 - 12*g**4 + 17*g**3 + (3*g - g - 3*g)*(108*g - 35*g**3 - 108*g) + 2*g**4 - 3*g**4 + 3*g**4 to y + k*g**2 + o*g**3 + b*g**4 + w*g and give b. 25 Express -206*l**2 + 93*l + 91*l - 277*l - 2*l**3 + 95*l - 152*l**2 in the form p*l**3 + o*l + z + t*l**2 and give p. -2 Rearrange 1092*o**2 + 70653 - 22221*o**2 - 70653 to the form t*o + q + r*o**2 and give r. -21129 Rearrange (-3 + 13*l**2 + 9*l**2 - 44*l**2)*(5 - 31 - 15) to s + y*l**2 + z*l and give s. 123 Rearrange 527*f**2 - 528*f**2 + 13*f**3 + 3 - 2 - 16*f - f**4 - f to o*f**4 + w*f**3 + s*f**2 + r*f + p and give p. 1 Express -a**2 + 16*a**3 - 4*a**2 - 19 - a + 2*a**3 - 7*a**3 + 18 as r*a**2 + y + c*a**3 + z*a and give z. -1 Express -1532*p + 1532*p + 16*p**2 + (6 - 36*p - 6)*(2*p - p + 0*p) in the form d*p**2 + u + t*p and give t. 0 Rearrange (-5*p + p - p)*(91*p + 81*p + 24*p) + 5*p**2 + 0*p**2 - 3*p**2 to the form d*p**2 + y + q*p and give d. -978 Rearrange 2*y**3 + 5*y - 2734*y**4 + 1 + y**2 + 1360*y**4 + 1357*y**4 to d*y**3 + i*y**4 + u + r*y + n*y**2 and give r. 5 Express a + 12107*a**2 - 3782*a**2 + 14789*a**2 as q*a**2 + s*a + j and give q. 23114 Rearrange 23478*z - 7*z**3 - 11757*z - 11790*z to f + r*z + n*z**3 + q*z**2 and give f. 0 Rearrange -17404*p - 15378*p + 39878*p - 16420*p to v*p + t and give v. -9324 Express 1 - 8686*q**2 - 56*q + 9269*q**2 + 56*q - 2*q**3 as h*q**3 + f + t*q**2 + g*q and give t. 583 Rearrange (-306 - 990 + 1295 - 5422*m)*(m**2 - m + m) to the form t + d*m + u*m**2 + j*m**3 and give j. -5422 Express (-212 + 425 - 5*w**2 - 193)*(45*w**2 - 27*w**2 - 42*w**2) in the form u*w**2 + a*w**3 + t + p*w**4 + b*w and give a. 0 Rearrange (-2*x + 2 + x + 125180*x**2 - 125184*x**2)*(113 - 113 - 12*x) to the form f*x + g*x**3 + j + d*x**2 and give f. -24 Rearrange -2*r - 223*r**2 - 234*r**2 - 1 + 458*r**2 + r + 9*r**3 to the form m*r + w + b*r**2 + a*r**3 and give a. 9 Express 85*f**2 - 101*f**2 + 433*f**2 + 170*f**2 as o + t*f**2 + r*f and give t. 587 Express h**3 + 8*h**2 - 1 + 2 - h**2 - 46*h + 47*h - 4*h**2 in the form s + m*h + f*h**3 + r*h**2 and give f. 1 Rearrange (4 + 65 + 22)*(148 - 97 + 126)*(4*d + 2*d - 4*d) to j*d + w and give j. 32214 Rearrange (-8 - 1 + 2)*(-106 - 46*j - 107 + 217) to the form v*j + z and give z. -28 Express -5*y - 12*y + 6*y - 204 + 11*y - 16*y in the form o + n*y and give n. -16 Express -85 + 160 - 71 + 69*k**2 as v + b*k + j*k**2 and give j. 69 Express 1483*b + 1171*b + 2389*b as w*b + k and give w. 5043 Express -461*o**3 - 4 - 20*o**2 + 187*o**3 + 277*o**3 in the form w*o**2 + b*o**3 + z + q*o and give b. 3 Rearrange (4*j + 75 - 75)*(985 - 985 - 52*j**3)*(-1 - 9 + 2) to the form w*j**3 + b*j**4 + v*j**2 + m + q*j and give b. 1664 Express (-2*z + z + 2*z)*(-2*z + 0*z + z + (3 + 3 - 5)*(-4*z + 5*z + 0*z) - 185522 + 185522 - 894*z + z - 4*z + z) in the form m + d*z + a*z**2 and give a. -896 Express (12 + 3 - 22)*(-134*n**4 - 73*n**3 + 73*n**3) as h + t*n + w*n**3 + l*n**4 + d*n**2 and give l. 938 Rearrange 201*d**3 - 10*d**4 - 78*d**2 - 201*d**3 + 11*d**4 + d to the form m*d**2 + j + u*d**3 + w*d**4 + l*d and give l. 1 Rearrange -25*v**3 - 83*v + 12*v**3 + 5*v**4 + 0*v**4 - v**4 + 11*v**3 to r*v**4 + w*v + y*v**3 + z + q*v**2 and give z. 0 Rearrange -2 + 146*h**2 + 2 + 140*h**2 - 283*h**2 + 4168*h to p + n*h + l*h**2 and give n. 4168 Rearrange -144 + 4*d - 142 + 273 to the form t*d + p and give t. 4 Express (-5*q + 3*q + q)*(1 + 1 - 5) - 55 + 64*q + 55 - 23 - 14*q + 23 as z + b*q and give z. 0 Rearrange ((2 - 1 + 3)*(-4*o + 3*o - 3*o) - o - o + 0*o)*(44 + 34 - 64) to the form h + j*o and give j. -252 Rearrange 2926*x + 2156*x + 398*x - 558*x - 591*x - 2 to the form w*x + a and give a. -2 Rearrange (-2*n**2 - 5*n**2 + 5*n**2)*(-151*n**2 + 24 - 2 + 178*n**2) to d*n + y*n**2 + i + z*n**3 + t*n**4 and give y. -44 Rearrange (-4413*t**3 + 2190*t**3 - 79*t + 2189*t**3)*(-2 + 2*t + 2) to i + y*t**4 + c*t**3 + h*t**2 + x*t and give h. -158 Rearrange 60188*p**2 + 48*p + 43*p - 26*p - 60141*p**2 to f + a*p**2 + j*p and give j. 65 Express ((7 - 3 - 2)*(b - 3 + 3) + 8*b + 2*b + 0*b + (-1 + 1 + b)*(-6 + 2 + 2) + (-2 + 3*b + 2)*(-3 + 4 - 3))*(-b + 0*b - 3*b) as t + p*b**2 + q*b and give p. -16 Express 23*z**3 - z - 13675293 + 13675293 - 111*z**4 as s + y*z**4 + n*z**2 + m*z**3 + u*z and give m. 23 Rearrange -2*m**3 + 550*m - 117*m**2 + 61*m**2 + 59*m**2 - 63*m to b*m**2 + l + v*m**3 + h*m and give v. -2 Express 1036*q**4 - 4*q**2 + 1086*q**3 + 1084*q**3 + 3*q**2 - 2170*q**3 + 1 in the form c*q + w*q**2 + v*q**4 + j*q**3 + m and give m. 1 Rearrange 101 - 522*j - 237 - j**2 + 135 to the form t + b*j**2 + p*j and give t. -1 Rearrange -1854*o**3 - 4*o - 1887*o**3 + 3 + 3727*o**3 + 7*o**2 to k*o**2 + z*o + w + l*o**3 and give l. -14 Express -8 + 15 + 0 - 18*s - 3 + 4 in the form v*s + a and give a. 8 Rearrange (2*m**3 - 18*m**2 + 18*m**2)*(1391*m - 3065*m + 1057*m) - m**4 + 3*m - 3*m to z*m + f + y*m**4 + x*m**2 + v*m**3 and give y. -1235 Express 3 - 49*f + 173*f - 6*f**2 - 105*f + 3*f**4 in the form v*f**2 + c*f**4 + j + k*f + y*f**3 and give j. 3 Express 32*w - 3*w**2 - 160*w - 85 + 85 as s*w**2 + r*w + o and give r. -128 Rearrange (83 - 139 - 131)*(8*f - 12*f - 12*f + (2*f + 2*f - 6*f)*(-4 + 2 + 1)) to q + l*f and give l. 2618 Rearrange -11*f + 88*f**2 + 35*f**3 + 19*f - 87*f**2 - 11*f to the form s + l*f**3 + z*f + c*f**2 and give c. 1 Express -6 + p**4 + 21*p + 6*p + 32*p**4 - 8*p**4 - 28*p - 5*p**3 as s*p**3 + l*p + m + g*p**2 + r*p**4 and give g. 0 Rearrange -27*t**2 + t**3 - 2*t**4 + t + 0*t**3 + 204*t**2 + 18*t**2 to the form a*t**4 + c*t**3 + l + q*t + b*t**2 and give q. 1 Rearrange (-17*x + 6*x + 63*x)*(-7*x + 80*x + 43*x) to the form r*x + w*x**2 + b and give w. 6032 Rearrange 479 + 6*m**2 + 17*m - 75*m + 21*m + 18*m + 21*m to r*m + z*m**2 + t and give r. 2 Express 130*h**2 - 329 + 329 - 2*h**3 + (-293 - 17*h + 293)*(h**2 - h + h) as o*h**2 + m*h**3 + j*h + g and give m. -19 Express (u**3 + 0*u**3 - 3*u**3 - 20)*(121*u - 345*u - 950*u) as t*u**4 + d*u**2 + m + q*u**3 + c*u and give t. 2348 Express -3232*r - 3244*r - r**4 - 7*r**3 + 6477*r - 1 as c*r + x*r**3 + a*r**4 + v*r**2 + w and give w. -1 Rearrange (0*j**3 - 2*j**4 + 0*j**3)*(-12 + 33 + 11 - 2 - 1 - 1 + (-7 + 4 + 2)*(-2 - 2 + 2)) to the form w*j**2 + m*j + q*j**3 + i + h*j**4 and give h. -60 Express (-3*f**2 + f**2 + f**2)*(-2 + 0 + 5)*(8*f - 4*f - 31*f + (0*f + 0*f + 3*f)*(1 + 0 + 0)) as n*f + k*f**3 + t*f**2 + j and give k. 72 Rearrange (-3164 + 8310 + 12710 - 3165 + 6954)*(-p + 4 - 4) to m*p + o and give m. -21645 Express (-3 + 4 + 1 + (-4 + 6 - 1)*(-2 + 4 - 1))*((-2 - 1 + 2)*(0*y - y + 2*y) + 2*y - y + y + 4*y - y - 2*y - 12*y - 9*y + 0*y) as m*y + f and give m. -57 Express -43542*y + 144 + 43529*y + 40 as s + b*y and give b. -13 Rearrange (4 - 3 + 0 + (1 + 1 - 3)*(6 + 3 + 1))*(0*j - 2*j**2 + 0*j)*(7*j - 4*j**2 - 7*j) to d*j**4 + m*j**3 + l + w*j**2 + g*j and give d. -72 Rearrange (-1871*f**2 + 0*f + 0*f - 235*f**2)*(0*f + 0*f - 3*f) to l*f**2 + w*f + y*f**3 + z and give l. 0 Express -40744 + u - 26*u*
{ "pile_set_name": "DM Mathematics" }
M? 1:50 PM What is 236 minutes after 8:53 PM? 12:49 AM How many minutes are there between 9:19 PM and 4:19 AM? 420 What is 405 minutes after 2:43 PM? 9:28 PM How many minutes are there between 3:00 AM and 10:42 AM? 462 What is 624 minutes after 2:59 AM? 1:23 PM What is 371 minutes after 7:45 PM? 1:56 AM How many minutes are there between 11:13 PM and 9:36 AM? 623 What is 552 minutes before 12:53 PM? 3:41 AM How many minutes are there between 12:22 PM and 5:43 PM? 321 How many minutes are there between 8:37 AM and 11:12 AM? 155 What is 388 minutes after 12:54 AM? 7:22 AM What is 337 minutes before 11:50 PM? 6:13 PM How many minutes are there between 1:55 PM and 10:54 PM? 539 How many minutes are there between 7:08 PM and 6:51 AM? 703 How many minutes are there between 11:52 PM and 6:08 AM? 376 How many minutes are there between 12:17 PM and 12:21 PM? 4 How many minutes are there between 12:38 AM and 1:30 AM? 52 How many minutes are there between 11:17 PM and 11:42 PM? 25 How many minutes are there between 2:07 PM and 7:27 PM? 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{ "pile_set_name": "DM Mathematics" }
(-1/51))**30)**29 assuming q is positive. q**(1819025/17) Simplify ((s**(-1)/(s*s*s/s**(-2/45)))/(s**(1/6)/s**(2/23)))**(-1/5) assuming s is positive. s**(8537/10350) Simplify ((c**(-2/7))**(-1/6)*(c**0*c)**(-6/13))**(-15) assuming c is positive. c**(565/91) Simplify ((d*d/d**(-1/4)*d/(d*d**6))/((d/d**(-2/17))/d**(-5/6)))**(-3/7) assuming d is positive. d**(1163/476) Simplify (r**(1/5)*((r*r**(-4)*r*r*r*r)/r)/r*r/r**(-1)*r**5)/((r*r*r**0*r*r)**(-1/2))**17 assuming r is positive. r**(201/5) Simplify (l*l/(l/((l*l/(l/l**(1/5)))/l))*(l*l/(l/(l/l**(-1)*l)))/l)**(-6/23)/((l**2*l*l*l**(1/5))/((l*l/(l/l**(-5)))/((l**(1/7)*l)/l))) assuming l is positive. l**(-7598/805) Simplify (o/((o**(-5/7)*o)/o)*o*o*o**(1/7))**(-5/9)/(((o/(o**(-2)/o*o))/o*o**(1/2))/(o**1/o)**(7/3)) assuming o is positive. o**(-65/14) Simplify u**14/u**(7/5)*u**(-1/75)*u**(-9)/u assuming u is positive. u**(194/75) Simplify (((q*q**(-13))/((q*q**(-6))/q))/(q**7/q**(-11)))**4 assuming q is positive. q**(-96) Simplify ((((r/r**1*r)/r)/(r*r*r*r/(r/(r*r*r**(-4)*r))*r*r*r))/(r**0)**(-1/15))/(r*r**(4/9)*r*r/((r/(r**(-3)/r))/r)*(r**(-2/3))**(-41)) assuming r is positive. r**(-286/9) Simplify (r**6*r*r/(r**(2/19)/r)*r*(r/(r*(r*r**3)/r)*r*r)/(r**(-4/5)*r))/((r**0)**(-7/6)*r/r**(-6)*r**(-3)*r*r) assuming r is positive. r**(256/95) Simplify (h*h*h**(-4/9)*h*h)**45*(((h*h**(2/73)*h)/h*h)/h)**(-3/26) assuming h is positive. h**(303455/1898) Simplify ((n**(-2/7)/n*n**(1/4))/(n**(-1/4)*n*n)**(1/46))/(n**5/(n/n**5)*(n/(n*n**(1/3)))/n*(n/(n/n**2*n))/n) assuming n is positive. n**(-33773/3864) Simplify ((l/l**(-2))/((l/(l/(l/(l*l/((l/(l/l**28))/l)*l))*l)*l)/l*l)*l**(-4/5)/l**(-11))**(-14) assuming l is positive. l**(826/5) Simplify ((w*w/(w*w*((w/(w**19*w))/w)/w))/(w**2*w)*(w/((w/w**(2/31))/w))/w*w**(6/13))**(2/85) assuming w is positive. w**(14932/34255) Simplify (i**7/(i**(-7)/i))**(-1/24)*(i**8*(i*i/((i**(-7/3)/i*i)/i*i))/i)**(-1/9) assuming i is positive. i**(-407/216) Simplify y**(2/9)/((((y*y**(3/2))/y)/y)/y)*(y**6*y*y)/y**(-2)*(y*y**(1/9)*y*y*y**(-2/3))**(-2) assuming y is positive. y**(35/6) Simplify (l/(l/l**(4/13))*l**(1/2)*l)**(-29)/((l**0)**(-36)/((l**(-4)/l)/((l/(l/l**(-1/5)))/l))) assuming l is positive. l**(-7309/130) Simplify (q**39*q**(-19/3))/(((q**(1/51)*q)/q)/((q**40/q)/q)) assuming q is positive. q**(1201/17) Simplify (((u/(((u/(u**36*u)*u)/u)/u))/u)/u**(-7/6)*(u**(8/9))**(-3/4))**25 assuming u is positive. u**(1875/2) Simplify ((f*(f*f**(-1/3))/f)**(-38))**(-33)/((f**(2/7))**50/(f/f**(-1))**0) assuming f is positive. f**(5752/7) Simplify ((f**(3/5)*f)/f**(-3))**(-1)*(f**(2/21)*f/(f**3*f)*f)/(f**2*f*f*f/((f**(2/3)/f*f)/f)) assuming f is positive. f**(-1243/105) Simplify (i/(i*i**6*i))/((i*i*i*i**(4/5))/i)*i**(-3/7)/i*i**3*i**5*i*(i/i**(-1))/i*((i*i/i**(-1)*i)/i)/i*(i*i**(-2/9)*i)/i assuming i is positive. i**(488/315) Simplify (s**(-1)*s**(-1/11)/s*(s**(2/7)/s)/(s*(s*s**8)/s))/(s*s**1*s**(3/5)*s**(-2/9)/s**(1/2)) assuming s is positive. s**(-94823/6930) Simplify (((z*((z*z**(-1/3))/z)/z*z)/z)/(z*z*z**(-2/25)))**12/((z**(-1)/z)**(-1/93)/((z*z/(z*z**(-5/2))*z*z)/(z/z**(2/9)))) assuming z is positive. z**(-311633/13950) Simplify ((p*p**1)**23*(p**(-2/7))**34)/((p**(1/3)/p)/p*p**2*p*p*((p/(p/p**(-1)))/p*p)**(-40)) assuming p is positive. p**(-127/21) Simplify ((t/(t*t**(-9)))/t**(-4/7)*(t/(t**18/t*t))/t**(-4/17))**(20/7) assuming t is positive. t**(-17120/833) Simplify ((u**(-2/7)*u)**(15/4))**30*(u**2*u*u**10)**(-49) assuming u is positive. u**(-7793/14) Simplify ((j**(2/17)*j/j**(-25)*j)/(j*j*j**(-2/7))**24)**19 assuming j is positive. j**(-31711/119) Simplify (((u**(-4)/u)/u)/u**(-2/23))/(u**(-2/5))**36*((u/u**(-4/7))/u**(-5/2))/(u**2/(u**2*u)) assuming u is positive. u**(21829/1610) Simplify (n**(-1)*n**1/n*(n/(n*n*n**(-2/7)/n)*n*n)**(-30))/(((n**(-1)*n*n)/n)**(5/4))**(-1/6) assuming n is positive. n**(-487/7) Simplify (f**(-2/17)*f**(-2/39)*(f*f*f*f*f**(-1/5)*f*f)/(f*f*f*f*f**(1/5)*f*f))**21 assuming f is positive. f**(-13202/1105) Simplify (u**(-11)*u)/(u*u**(-4/19)*u*u*u)*(u/(u**(-9/4)*u))**(1/12) assuming u is positive. u**(-4135/304) Simplify n**(-5)*n*n**(7/6)/n*((n/(n**(-3/4)/n))/n)/((n*n**(10/3))/n) assuming n is positive. n**(-65/12) Simplify (r**(-1)/(r*r**(-2/3))*((r/r**(1/3))/r)/r**(-6))/((r/(r*r**(-1/4)/r)*r)**(-26))**(3/8) assuming r is positive. r**(1261/48) Simplify ((y**(-2))**42)**(4/3)*((y*y**(-13))/(y*y**(-1/4)/y))**(-18) assuming y is positive. y**(199/2) Simplify ((w/(w/(w*(w/w**11)/w)))/(w*(w*(w/((w/w**12)/w))/w*w)/w))**0*(w**(-4/3)/w**(-2/3))/((w/w**0)/w)**(2/53) assuming w is positive. w**(-2/3) Simplify ((s**2)**(-50))**(1/74)/(s**(-3/7)*s**9)**(-5/22) assuming s is positive. s**(1700/2849) Simplify ((w*w/(((w**(1/3)*w)/w)/w))/(w*(w*w/((w**6/w)/w))/w))/(w**(2/7))**13*((w**(-1/3)/w)/w**(2/5))**(-16) assuming w is positive. w**(1004/35) Simplify (l**(-2/19)/(l**(-2/3)*l))**(-24)*((l/((l**(2/5)/l)/l*l)*l)**47)**4 assuming l is positive. l**(47436/95) Simplify ((d**(-33)/(d*d*d/d**(7/3)*d))/((d**27/d)/((d*d/(d**(-30)*d)*d)/d)))**14 assuming d is positive. d**(-1246/3) Simplify (x**(-1/2)*x*(x**3/x)/x)/(x**(-2/7))**(-1/3)*(((x**4/x*x)/x*x)/(x/(x**(3/5)*x)))/(x*x*x**(-2/11)*x*x**4) assuming x is positive. x**(-1879/2310) Simplify (l**1*l*l*l**(-1/3)/l*(l/(l*(l**1*l)/l))/l**5)/((l**0/l*l)**32*(l/l**(-1))**(-2/3)) assuming l is positive. l**(-3) Simplify ((((g/(g**0/g*g))/g*g)**(-11)*(g**(-2/17)/g)/g**(1/9))**(16/3))**(1/13) assuming g is positive. g**(-29936/5967) Simplify ((k**(-4)*k*k)**(-32))**(-40)*(k*k/k**(-2/3)*k)**(-5)*(k/(k*k**(-6))*k)/k**(-7) assuming k is positive. k**(-7693/3) Simplify ((h*(h**0/h)/h)/h**(-1)*(h/h**(-6))/(h*h/h**(-1)))/((((h/(h**(-2/5)*h))/h)/h)**(-4/23))**(-16/7) assuming h is positive. h**(3732/805) Simplify (p/p**(-2/5)*p*p*p**(-8))/(p/(((p/(p**(1/2)*p)*p)/p)/p*p))**(-20)*(((p*p/p**(-13))/p)/(p*(p/p**(-2/21))/p))**29 assuming p is positive. p**(41962/105) Simplify (v*v/(v**(2/7)/v)*v*v**(-1)*v)/(v/(v*v**1/v)*v**1)*((v/(v**(-1/3)/v))**42)**18 assuming v is positive. v**(12367/7) Simplify ((p*p*p**45*p*p*(p**(-28)/p*p)/p*p)/(p**(1/22))**(-8/11))**(-7) assuming p is positive. p**(-17815/121) Simplify ((m**0)**47/(m*m/m**(2/5)*(m*(m*m**(-2))/m)/m))/((m**(-2/11)/m**6)/(m**(-2/3)*m*m**2)) assuming m is positive. m**(1471/165) Simplify (k**1/k*k**(-3/5))**38/(((k*k/k**6)/(((k**(4/7)/k)/k)/k*k*k*k))/(k**(-2/9)/k**(-2/7))) assuming k is positive. k**(-5722/315) Simplify (q*q/(q/(q*q**(-5))))/(q*q**(7/4)*q)*(q**(-2))**(-3/35)*(q/q**(-1))**21/(q*q**(2/3)/q)**(2/3) assuming q is positive. q**(44071/1260) Simplify ((u*u**(-2/93))/(u/u**(-12)))/(u**(8/3))**35 assuming u is positive. u**(-3266/31) Simplify (((((w*w**(-7/6))/w)/w)/(w**25*w))/(w**(-2/13)/(w**24*w*w)))**(-30) assuming w is positive. w**(785/13) Simplify ((n/(n**(-4/5)*n))/n**(-1/5)*n*(n/n**(-2/5)*n*n)/n*n**(-3/2))/((n**(5/3)*n**(-1/3))/(n**1/n)**(2/27)) assuming n is positive. n**(47/30) Simplify ((h*((h**(-2/3)/h)/h)/h*h*h*h*h**(-30)/h)/(h**(-12))**(1/66))**(2/49) assuming h is positive. h**(-2012/1617) Simplify ((c**(3/2)/c)**(1/56)*(c/c**(-1/3))**(2/45))**(17/3) assuming c is positive. c**(17527/45360) Simplify ((y/y**(2/9))/(y**(-3/8)/y)*(y/(y**(1/6)/y))**(1/3))**18 assuming y is positive. y**(199/4) Simplify ((v*v**(1/3))**(1/6))**6/(((v*v*v*v**(-1)*v*v)/v)**(-3/5)*(v**(4/7)/v)/(v*v**(-5))) assuming v is positive. v**(-46/105) Simplify (z**22/(z/(z*z*z**(-2)))*z**(12/7)*z**18*z*z)**23 assuming z is positive. z**(6877/7) Simplify a*a**(-4)/a*a/a**(-2/7)*a/a**(1/12)*a**(-3)*a*(a/(a*(a**(-2/3)/a)/a*a))/a**(-7)*(a**0)**(2/17) assuming a is positive. a**(409/84) Simplify (a**6*a*a*a**(-9)*a*(a/a**(-2/3))**(1/3))/((a**(-1/7)/(a/((a/(a/a**(5/2)))/a)))/(a**(-4/7)/((a*a**8)/a*a))) assuming a is positive. a**(-1181/126) Simplify (w/w**(-2/7))**(4/9)/((w**(-1/5)/w)/w*w/(w**(1/9)*w)*w)*(w/w**(-1))**5*w*w**6*w**(1/2) assuming w is positive. w**(12211/630) Simplify ((q**1)**(3/7)/((q*q*(q/((q**(4/7)/q)/q))/q)/q**(-1)))/(q**(-1)/q**0*(q*((q*q**(-1/3))/q)/q)**(-3/16)) assuming q is positive. q**(-49/16) Simplify ((x**(2/5)*x**5)/((x**4*x)/(x/(x/(x*x**(-3))))))/((x**(-1/6)/x*x)/(x/((x**(3/8)*x)/x)*x)*(x/(x*x**(-1)*x)*x)**(-16/9)) assuming x is positive. x**(709/360) Simplify (r/(r/r**(2/13
{ "pile_set_name": "DM Mathematics" }
ch is the closest to 2/7? (a) q (b) -4 (c) 3/7 c Let d be (-7)/35*(-1 - (-4)/(-16)). Let o = 3 - 3.4. Let w = -6/31 + 80/93. What is the nearest to -2 in d, o, w? o Let d = 331 + -992/3. What is the nearest to d in -1, 5, -0.4, 2? -0.4 Let s = 2 - 3. Let r = 636 - 640. What is the closest to 2/15 in r, 0.01, s? 0.01 Suppose 0 = -5*l + 5*t + 5, -4*t = -2*l - t + 2. Let m be 130/42 + (-1 - (4 - 2)). Which is the nearest to l? (a) -1 (b) 1 (c) m b Let u = 16 + -30. Let o = 19 + u. Let l(z) = z - 10. Let k be l(o). What is the closest to 0.5 in 1/4, -4/7, k? 1/4 Suppose -5*t = 3*k - 20, 32 - 12 = k + 5*t. Let s be 3/27*(k - -6). What is the closest to -0.1 in s, -5, 5? s Let t = -2 - -2. Let b be (-2)/6 + (-546)/(-1674). Let k = b + 97/558. What is the nearest to t in 0.5, -1/3, k? k Let t = -12.7 - -12. Let v = t + -0.3. Let k = -2357/5 - -7051/15. Which is the nearest to 0.3? (a) k (b) -2/11 (c) v b Let c(p) = -59*p + 353. Let i be c(6). What is the closest to i in -3/8, 37, 4, 2/9? -3/8 Let x = -3 + 13. Let r = -39/4 + x. Which is the closest to -0.02? (a) 0.5 (b) 4 (c) r c Let s = -9.63 + 0.63. Let o = 0.04 - -0.03. Let v = o - 4.07. What is the nearest to 0 in s, v, -3/5? -3/5 Let w = -1487/8 - -186. What is the closest to 0 in -0.3, -6, 0, w? 0 Suppose v = 17 + 17. Let j be v/(-8) - (-3)/(-4). Let x be 17/(-10) + (-1)/j. What is the nearest to 0.1 in 2/7, 0.4, x? 2/7 Let x = 57 - 104. Let s = x + 46. What is the nearest to s in -3/5, -5, -0.05? -3/5 Let o = -2 - -7. Let k = o + -8. Let t be (72/60)/(k/(-10)). What is the nearest to -0.1 in -3, 2, t? 2 Let z = -0.0585 - 6.9415. What is the closest to z in 1/2, -0.05, 0.2? -0.05 Let p = 94.3 + -94. What is the nearest to p in -2, -1/3, -18? -1/3 Let i be ((-6)/(-189))/(5/45). Which is the closest to i? (a) -0.1 (b) -1/8 (c) 3/4 (d) 4 a Let h be (10 + 4)/(7 + -9). What is the nearest to h in 5, -0.2, 0.07? -0.2 Let n = 11.46 + -11.6. Which is the nearest to n? (a) 4/5 (b) 3/2 (c) -4 a Let t = 136 - 138.047. Let i = 0.047 + t. Let d = 11/6 + -3/2. What is the closest to -1/2 in 0, i, d? 0 Let o = -897 - -846. What is the nearest to -3 in -4, o, 0.4? -4 Let i = -173 - -158. What is the closest to 2/7 in 0, -1/4, i? 0 Let s(u) = -u**2 + 4*u + 13. Let j be s(-2). Which is the nearest to j? (a) 9 (b) -0.1 (c) 0 c Let l = 27/35 - 6/5. What is the closest to 22 in 0.2, 2, l? 2 Let j = 2 - 1.9. Let y = -0.22 - 14.78. Let z = y - -16. What is the nearest to z in -0.3, 3/4, j? 3/4 Suppose -9*k + 7*k = -4*y, 2*k + 3*y = -35. Which is the nearest to 0? (a) k (b) 14 (c) 0.1 c Let u = -462.3 + 462. Which is the nearest to -9? (a) u (b) -3/4 (c) -5 c Let o = 9.9985 + 0.0015. Which is the closest to 0? (a) 3/7 (b) 2/5 (c) o b Let o = 4.45 + -4.25. Which is the closest to 0.1? (a) -6 (b) -2 (c) o c Let g be -95*8/(-740) - (-1)/(-1). Let w = g - 83/333. Which is the nearest to -0.2? (a) 0.1 (b) 0.2 (c) w c Let p = -93 + 97. Let b be (1/(-3))/((-7)/(-3)). Let m = 0.01 - -0.99. What is the nearest to -1/4 in b, m, p? b Let t = -28.1 + 28. Let w = -6/23 + 53/115. Which is the closest to -1/4? (a) t (b) 5/3 (c) w a Let b = -3371/4 - -843. What is the closest to b in -0.2, 2, 0.5? 0.5 Let x = 9 - 7. Suppose -x - 1 = -3*t. Let r be (150/16)/(-15) - 6/16. What is the closest to -2/5 in -1/2, t, r? -1/2 Let j = 3.3 + -0.8. Let a = 4.25 + 2.25. Let d = a - j. What is the closest to -1 in 2, 0.09, d? 0.09 Let k = -0.1894 + 0.1744. Which is the nearest to -1/4? (a) 0.2 (b) k (c) 1 b Let p = 218 + -188. What is the nearest to 0.2 in 5, p, 2? 2 Let d = 13.74 + 0.26. Let k = d - 10. Which is the nearest to -5/2? (a) k (b) 2/11 (c) 3 b Let j = 62 + 24. Let s = -92 + j. What is the closest to s in 0.2, -3/2, 1/8? -3/2 Let r = -2 - -2.1. Let a = 0.1 + r. Let u be (-792)/36 + (-43)/(-2). What is the closest to -2 in a, u, 4/3? u Let k be -3 - (2 + (-54)/10). Let w = 95/2 + -48. Which is the nearest to 2? (a) k (b) 4 (c) w a Suppose -o = -4*w + 4*o + 180, 225 = 5*w - o. Let v be -3 + 41/w + 2. Let z = 163/315 + v. Which is the nearest to -1? (a) z (b) -3 (c) 0.4 c Let k be ((-2)/(-2) + -1)*(-3)/(-6). Let t be 41/63 + 2/(-9) + k. Which is the nearest to 0.4? (a) t (b) 0.2 (c) -1/7 a Let c = 165 - 164.9. Let t = -26/21 - -193/105. What is the nearest to -0.1 in c, 2, t? c Let b be 6/(-9) + 1/3. Let x = -110 + 118. What is the nearest to b in x, 4, -0.01? -0.01 Let o = -59 - -58.77. Let p = 0.27 - o. Let y be (-20)/(-36)*3/10. What is the nearest to -0.1 in 0.1, y, p? 0.1 Let t = -933 - -932.7. What is the closest to -10/9 in t, 15, 4? t Let x(v) = -v + 3. Let h be x(6). Let r = -16.8 + 17. Let g = -19/60 - -1/15. Which is the closest to r? (a) g (b) -0.5 (c) h a Let x(r) be the second derivative of 0*r**2 + 0 - 5/12*r**4 + 0*r**3 + 7*r. Let w be x(-1). Which is the nearest to -1? (a) w (b) -0.2 (c) -4/3 c Suppose -17*f = 18*f + 105. What is the nearest to 2 in 0.2, 1/4, f, -0.3? 1/4 Let q(w) = -2*w - 8. Let z be q(-5). Let l be 2*(-8)/(-7) - 2*1. What is the closest to 5 in l, z, -4? z Let r = -0.025 - -0.065. Which is the closest to -1? (a) -4 (b) r (c) 5 (d) -2 d Let u = -87 + 87. Which is the nearest to -2/3? (a) -2 (b) u (c) -1/51 c Let i = 6 + -10. Let m = -1 - -2. Let r = m + 0. Which is the nearest to r? (a) i (b) 5 (c) -0.3 c Let z be (-4)/((-28)/21*3). What is the nearest to z in 0.4, 4, -4? 0.4 Let z = 30 + -28.3. Let o = 1.2 - z. Which is the closest to 1/4? (a) -3 (b) o (c) -2 b Let d = -5 - -8. Let m = -0.31 + 0.81. Let w = m + -1.5. What is the closest to w in d, 1/4, 0.2? 0.2 Let u = 0.848 + -0.648. Which is the nearest to 0.1? (a) u (b) -0.5 (c) 2/47 (d) -1 c Suppose -5*v + 40 = -0*v. Suppose 3*a - v*a + a = 0. What is the nearest to a in 4/7, -0.3, 1/4? 1/4 Let l = 85 - 597/7. What is the closest to l in -4, -33, -0.5? -0.5 Let m = -731/7557 - -4/687. What is the nearest to -1 in -9, 4, m? m Let f = 46.082 - 0.082. Let i = f + -42. Let x = -0.02 + -0.28. Which is the closest to 1/4? (a) x (b) i (c) -4 a Let u = 89813760898/2937 + -30580102. Let o = u - -1/267. Let w = o - 4/33. What is the nearest to 1/2 in -0.4, w, 0.1? w Let x be 0 + -1 - (-3 + 2). Suppose -3 = -3*y - 6, 2*v + 4*y = -4. Let s be (3/(-5))/((-24)/30). What is the nearest to x in s, -2, v? v Let k = 12.19 - -0.81. Let f = 0.01 - -8.99. Let l = k - f. Which is the nearest to 2/5? (a) l (b) -4/3 (c) 2/13 c Let w(l) = -5*l + 83. Let z be w(16). What is the closest to 0.1 in z, 22, 0? 0 Let i = -4 - -3.8. Let x = -2/201 + -193/804. What is the closest to i in x, 0.5, 3/4? x Let m = 1003 + -1002.9. Which is the nearest to m? (a) 2 (b) -5/4 (c) 5 (d) 8 b Let t = -0.141 - -52.141. Let v = t - 55. Which is the closest to v? (a) -0.01 (b) 2/9 (c) 1 a Suppose -5*v = -0*v - 15. Let x(i) = -4*i**2 + 51*i - 113. Let o be x(10). Which is the nearest to -0.5? (a) v (b) o (c) 0.3 c Let u = 0.2955 - 0.0955. Which is the closest to u? (a) 1/2 (b) 0.1 (c) -2 (d) -3 b Let f be -12 + (-198)/(-30) - (-4)/10. What is the nearest to 1 in 2/3, f, -1/9? 2/3 Let s = -3/22 - -7/11. Let i = 186 - 189. Which is the nearest to i? (a) 0.1 (b) 0 (c) s b Let k = -0.0678 + -0.2322. What is the nearest to 1 in -19/7, k, 2? 2 Let a = -16.9 - -17. Let i be (30/(-25))/((-2)/(-5)) - -7. What is the nearest to a in 1, -1, i? 1 Let h = 3015/7 - 40960/63. Let c = 219 + h. What is the nearest to 0 in -3, -2/9, c? -2/9 Let s = 225 + -225. Which is the closest to s? (a) -0.4 (b) 3 (c) 1 a Let y = 262.29 + -261. Let o = 0.01 + y. Let m = 1.1 - o. Which is the nearest to 0? (a) m (b) -1/2 (c) -5 a Let a = 11.26 - 6.26. What is the closest to 2 in -5/4, 1, a? 1 Let h = -1 - -1. Let z be 4 + 5/(-1) + (-1)/(-1). Let s be ((-1)/(-5))/((-8)/10 - z). Which is the closest to h? (a) s (b) 2/5 (c) -3 a Let y = 0.9914 - -0.0086. Which is the nearest to y? (a) -2/11 (b) 0.5 (c) 4 b Let o = -58/31 - -669/341. Let x = -3 - 0. Let w = x - -2. What is the nearest to w in -4, o, 3? o Let k = 0.398 - 0.338. What is the nearest to k in 0.3, 4, -0.1? -0.1 Let g = -1491 + 4472/3. Which is the closest to g? (a) 2 (b) 0 (c) -126 (d) -1 b Let m = -492.2 + 492. Which is the nearest to 9? (a) m (b) -
{ "pile_set_name": "DM Mathematics" }
-26. -434070 Multiply -0.0672 and -0.31. 0.020832 -2*13.05607 -26.11214 What is 926.8 times 416? 385548.8 What is the product of -44699 and 0.024? -1072.776 -92 * -0.27388 25.19696 Work out -55 * 207. -11385 Product of 5225522 and 2. 10451044 Product of -430 and 0.44. -189.2 What is the product of 0.8057 and -74? -59.6218 What is the product of 0.1 and 28658? 2865.8 Calculate -9.54*86.8. -828.072 Product of -119 and -30.89. 3675.91 Calculate 0.56*-10.46. -5.8576 -18349.1 * 0.5 -9174.55 Product of -28640 and -8.8. 252032 Work out 0.036562 * 88. 3.217456 -0.2 * 206678 -41335.6 What is the product of -0.0454 and -25.3? 1.14862 What is the product of 116878 and 0.3? 35063.4 What is the product of 86115 and -3? -258345 -3.566 times 9.2 -32.8072 Work out -0.1 * 1434.82. -143.482 Product of 21.7 and 71. 1540.7 Multiply -137 and -517. 70829 492 times -143 -70356 What is the product of -42788 and 13? -556244 Work out 15.3 * 1.2. 18.36 -222126 times 0.7 -155488.2 What is 0.2 times -7209.6? -1441.92 Multiply 5 and 41535. 207675 -345*0.107 -36.915 What is the product of 0.1 and 26.8293? 2.68293 What is the product of 21.254 and -4? -85.016 What is -33.5 times -0.16? 5.36 What is the product of -0.0701 and -0.033? 0.0023133 0 * 102468 0 17765 * -12 -213180 What is -0.5 times 292589? -146294.5 Calculate -61939*3. -185817 Multiply -6.51 and -19. 123.69 Work out -40 * 32048. -1281920 Work out 0.542 * -12.62. -6.84004 Multiply -103441 and -12. 1241292 What is the product of 0.00449 and 21? 0.09429 Product of 69.03 and 683. 47147.49 Work out 7 * 0.4. 2.8 Calculate 411061*-0.3. -123318.3 -291*992 -288672 Work out 1 * -0.535595. -0.535595 Product of 17.32 and 13. 225.16 -49.945*0.2 -9.989 0.26*0.0874 0.022724 What is 17 times -121.495? -2065.415 What is the product of 13838 and 4? 55352 What is -7.1 times 12.9? -91.59 7603*-4.6 -34973.8 Multiply -0.07 and 0.08263. -0.0057841 Multiply 0.37 and 4.9414. 1.828318 What is the product of -11275 and -325? 3664375 5930 times 4 23720 800.24 times -9 -7202.16 What is 0.3 times -10279? -3083.7 Work out -54 * 1342. -72468 What is the product of -26426.3 and 2? -52852.6 -3.68 times -2200 8096 11 * 5401 59411 -6057553*-0.5 3028776.5 What is -87 times 2178? -189486 What is the product of -0.402 and 0.6? -0.2412 Product of 0.09 and -0.992. -0.08928 What is the product of -493.244 and -3? 1479.732 0.53 times 1110 588.3 0.03466 times -29 -1.00514 Multiply -4518 and -8. 36144 Calculate 2058*-0.77. -1584.66 Multiply -1.179 and 3. -3.537 17 times -298.46 -5073.82 Product of 0.039 and -2643. -103.077 Calculate 4.5*-10.1. -45.45 Product of 45 and 1078. 48510 What is 0.37617 times 0.2? 0.075234 2.68963*-0.01 -0.0268963 316.4*-0.101 -31.9564 What is the product of -1.37 and 0.00382? -0.0052334 Multiply -96 and -0.9837. 94.4352 Work out -93.6236 * 0. 0 What is -175 times -0.034? 5.95 What is 9.576 times 0.2? 1.9152 Multiply 966 and -386. -372876 What is 41354 times 0.01? 413.54 91565 times -0.3 -27469.5 What is 2 times 6059? 12118 -0.43 times -1611 692.73 Work out 0 * 48.93. 0 -0.5 times -296.41 148.205 -11.09 times 0.6 -6.654 0.01248 times -0.1 -0.001248 Work out 0.1 * 0.2232. 0.02232 Work out -0.8106 * -4. 3.2424 2 times 963136 1926272 What is -485357 times -3? 1456071 Work out -0.3 * -101520. 30456 13697 times 0.074 1013.578 -5877*16 -94032 191 * 294 56154 What is 0.048 times -0.336? -0.016128 -272005.1*0.2 -54401.02 Work out 62135 * -0.4. -24854 -0.5 * 47760 -23880 0.40522*0 0 5.911 * 0.04 0.23644 -33 times 416 -13728 What is the product of -633641 and -0.3? 190092.3 Calculate 31565*0.12. 3787.8 Product of 7.39931 and -1. -7.39931 What is 2 times -4057? -8114 What is the product of -0.012 and 112.9? -1.3548 What is the product of -2 and -4190? 8380 -34 * -621 21114 Multiply -0.33094 and -5.8. 1.919452 Calculate -83.9*0.4. -33.56 Product of -0.4 and -25051.3. 10020.52 34.61*-0.06 -2.0766 What is 135142 times -0.1? -13514.2 -4205655 * 3 -12616965 What is the product of 0.0419 and -174? -7.2906 -0.3 times 231588 -69476.4 What is -278879 times 0.1? -27887.9 Calculate -1936.71*0. 0 Multiply 74 and -1657. -122618 Product of -173671 and 1.2. -208405.2 -0.1 * 8796 -879.6 What is the product of -3 and 9028.1? -27084.3 What is the product of -0.47 and -19? 8.93 Calculate -33652*16. -538432 Multiply -13.6 and 304. -4134.4 What is -53016 times -0.1? 5301.6 Calculate 92*-0.0131. -1.2052 -0.565 times -101 57.065 -2*-5583 11166 What is -0.41 times 1542? -632.22 Product of -0.5 and 1563.67. -781.835 -3513.8 times 10.2 -35840.76 -112*0.0132 -1.4784 2 times 209608 419216 1303.71 times 0 0 Multiply -0.02 and -9403. 188.06 Calculate -0.30483*2. -0.60966 Calculate 489*-100. -48900 What is the product of 0.12 and 3845.26? 461.4312 -5*-0.08681 0.43405 Multiply 28808 and 2. 57616 What is the product of -29 and -0.3076? 8.9204 What is -0.5 times -41192? 20596 Product of -0.4 and -676.746. 270.6984 Product of 4 and 414722. 1658888 What is 1 times -240190? -240190 What is 0.02 times 3.2591? 0.065182 What is the product of 1.1 and 28.422? 31.2642 Calculate 71*-6968. -494728 Work out 297 * 3. 891 Product of -340142 and 5. -1700710 -0.79 times -79.23 62.5917 Calculate -3*4.526. -13.578 -1945 * 24 -46680 Multiply -343.271 and -0.3. 102.9813 What is the product of 1.23932 and 0.1? 0.123932 0.0102 times 17.5 0.1785 What is the product of -0.2 and 0.588? -0.1176 Product of 0.8 and 112.371. 89.8968 620 * 31 19220 Product of 22067 and -2. -44134 Calculate 5409*318. 1720062 512950 times -0.2 -102590 Multiply -17056 and -15. 255840 Product of -6 and -78775. 472650 Calculate 0.166*-135. -22.41 Work out -0.4 * 420370. -168148 512.3 times -0.03 -15.369 Product of 0.082 and 16.97. 1.39154 Work out -1.5 * -1.26. 1.89 Multiply -66942 and -4.9. 328015.8 What is 4810 times 1? 4810 0.00897 * 0.5 0.004485 Work out -0.807 * 0.54. -0.43578 Calculate -0.2262*-0.044. 0.0099528 Product of 3578 and -1585. -5671130 What is -13802 times 0.1? -1380.2 Work out 4 * -71.49. -285.96 What is the product of 2070 and 0.2? 414 What is the product of -1 and 0.1592? -0.1592 What is 0 times -2.57743? 0 -0.5 * 266.19 -133.095 Product of 7 and 108. 756 Multiply 0.042 and -0.23. -0.00966 -5.5432 * -0.2 1.10864 Work out 0.056 * 0.12749. 0.00713944 What is 0.065 times -19013? -1235.845 -0.09 * 16254 -1462.86 Work out 2072352 * 0.2. 414470.4 What is 657.49 times 0? 0 What is -4758 times -3? 14274 What is the product of -3.16 and 0.144? -0.45504 38446*-0.5 -19223 Calculate 0.3*2.276. 0.6828 What is -461 times 0.726? -334.686 1.7823 times -3 -5.3469 Multiply 1555 and 646. 1004530 What is -2209 times 4? -8836 54161.8*-0.5 -27080.9 What is 0.259 times -455? -117.845 -5 * 705366 -3526830 72506 times -1 -72506 Product of -30 and 13.6. -408 What is 11 times 29997.4? 329971.4 -403 times -1.98 797.94 Calculate 1*-20689. -20689 Product of 4537 and -2.3. -10435.1 Multiply 1720762 and -1. -1720762 Multiply -71918 and 1. -71918 53234 * -0.5 -26617 Work out 3 * 791133. 2373399 -5 times 512.47 -2562.35 -19817 * -0.01 198.17 Work out 5 * 0.03179. 0.15895 -0.1 * -32.72 3.272 -0.031*-4624 143.344 Calculate 5.215*-1. -5.215 Multiply 5382 and -0.013. -69.966 What is the product of -4 and -15773? 63092 What is -42 times -108? 4536 What is the product of -4635 and -0.4? 1854 Product of 3485.5 and -29. -101079.5 0.09 * -0.069829 -0.00628461 -0.74 times -7955 5886.7 Work out 3 * -0.6173. -1.8519 0.06425 times -2.3 -0.147775 -0.4*-0.1941 0.07764 What is -49 times -0.06715? 3.29035 Product of -8.8 and -0.111. 0.9768 What is 1906 times -6.64? -12655.84 What is the product of 0.8 and 10.20491? 8.163928 What is -155679 times -0.2? 31135.8 Work out 204550 * -3. -613650 Multiply 0.3664 and -0.043. -0.0157552 -130724 times -4 522896 -0.01 times -25416 254.16 -14419*269 -3878711 What is the product of -3137 and 0.7? -2195.9 Work out -5 * 0.034814. -0.17407 Product of -31414 and 0.2. -6282.8 Work out -9 * 7.775. -69.975 1 times 113745 113745 Product of -264 and 911. -240504 -48 * -0.987 47.376 What is 336.185 times 0.4? 134.474 What is -0.0243834 times -1.1? 0.02682174 20872*0.3 6261.6 Work out -5621 * -0.06. 337.26 4 * 869.225 3476.9 -75*-3 225 Work out -0.2 * 1436. -287.2 Calculate 0.031*-1421. -44.051 Product of 2.92 and 4. 11.68 Ca
{ "pile_set_name": "DM Mathematics" }
3*o + 4. Let l(d) = 2*d + 2. Determine x*l(u) + 4*h(u). -2*u + 2 Let a(y) = -8*y**3 + 4*y + 4. Let f(x) = 6*x**3 + x - 3. Determine 4*a(r) + 5*f(r). -2*r**3 + 21*r + 1 Let y(b) = -3*b**2 + 3. Suppose i = -8*z + 13*z - 1, 2*z - 2 = 0. Let f(n) = n**2 + 0*n**2 - 4 + n**2 + 2. Let o be 4/2 + 3 + 0. Give i*y(l) + o*f(l). -2*l**2 + 2 Let l(h) = 27*h**2 - 18*h. Let w(b) = -b**2 + b. Suppose -10*r = -340 - 210. Suppose 3*d - r = i, -8*d + 16 = -7*d + 2*i. Give d*w(t) + l(t). 9*t**2 Let o(z) = z**2 + 7*z - 2. Let g(h) = -15*h**2 - 98*h + 48. Calculate -g(r) - 13*o(r). 2*r**2 + 7*r - 22 Let y = 1143 + -1144. Let d(v) = v**2 - 1. Let g(s) = 3*s**3 - 3*s**2 + 2*s + 5. What is y*g(u) - 5*d(u)? -3*u**3 - 2*u**2 - 2*u Let n(p) = -81*p**3 + 6*p**2 + 32*p + 8. Let w(j) = -97*j**3 + 6*j**2 + 32*j + 10. Give 6*n(k) - 5*w(k). -k**3 + 6*k**2 + 32*k - 2 Let g(m) = 659*m - 59. Let b(y) = -458*y + 39. Calculate 7*b(o) + 5*g(o). 89*o - 22 Let k(q) = -5*q - 9. Let t(g) = 6*g + 9. Suppose -198*v + 197*v + 4 = 0. Calculate v*k(l) + 3*t(l). -2*l - 9 Let f be (2/(-2))/((-6)/30). Suppose -2*b - u + 5 = 0, -f*u = 4*b - 0*b - 7. Let a(v) = 3*v**2 - 2*v + 3. Let g(i) = -4*i**2 + 3*i - 4. Give b*a(t) + 2*g(t). t**2 + 1 Let q(k) = -k**3 - 3*k**2 - k - 1. Let n(r) = -16*r**3 - 19*r**2 - 6*r - 5. Calculate -n(u) + 6*q(u). 10*u**3 + u**2 - 1 Let v(j) = -2*j**3 + 37*j**2 + 4*j + 151. Let d(m) = -2*m**3 + 27*m**2 + 3*m + 150. Calculate -4*d(z) + 3*v(z). 2*z**3 + 3*z**2 - 147 Let s(z) = z**2 + 44*z + 457. Let q be s(-16). Let n(h) = -7*h + 5. Let y(b) = -2*b + 1. Calculate q*y(x) - 2*n(x). -4*x - 1 Let m(k) = -169*k**3 - 43*k**2 + 7*k. Let h(l) = -85*l**3 - 18*l**2 + 3*l. Determine -7*h(s) + 3*m(s). 88*s**3 - 3*s**2 Let r be (4 + 1)/(-18 - (-6 - 13)). Let m(s) = 4*s**2 - s**2 + 14 + 6 - 13. Let c(g) = -3. Let x(u) = -7. Let a(q) = -5*c(q) + 2*x(q). Determine r*a(d) - m(d). -3*d**2 - 2 Let m(r) = -8*r**2 - 31*r - 7. Let y(n) = 23*n**2 + 94*n + 20. Calculate 17*m(j) + 6*y(j). 2*j**2 + 37*j + 1 Let u(z) = -3*z + 45. Let n(a) = -a + 22. Let l be 69/115 + 212/(-20) - 3*-1. What is l*n(s) + 3*u(s)? -2*s - 19 Let a(s) = 11*s - 1. Let j(p) = 23*p - 2. Let w = 11606 + -11619. Give w*a(m) + 6*j(m). -5*m + 1 Let l(r) = r**2 + r - 1. Let x(h) = 2*h**2 + 43*h - 3. Suppose 4*k - 4*a = 32, 4*k + 2769 = -5*a + 2720. What is k*x(u) + 3*l(u)? u**2 - 40*u Let j(m) = -3*m**2 - 4*m - 4. Let u(a) = 28*a**2 + 35*a + 35. Let t(y) = -y**3 + 10*y**2 + 15*y - 1. Let k be t(8). Let h = -251 + k. Give h*u(i) - 35*j(i). -7*i**2 Let n(f) = -117*f**3 + 143*f + 143. Suppose -59*c + 96*c = 77*c - 80. Let s(g) = g**3 - g - 1. Determine c*n(a) + 286*s(a). 52*a**3 Suppose -5*u - 43 = -68. Suppose 5*l - 4*g - 7 = -0*g, -l + u*g = -14. Let i(h) = -2*h**3 - h**2 - h. Let z(q) = q**3 + q**2 + q. Give l*z(o) - i(o). o**3 Let a(v) = -488*v**3 + 11*v**2 - 2*v + 17. Let z(y) = -1465*y**3 + 31*y**2 - 6*y + 48. Determine -17*a(t) + 6*z(t). -494*t**3 - t**2 - 2*t - 1 Let d(b) be the first derivative of 7*b**3/3 + 94. Let h = 279 + -281. Let q(n) = -28*n**2. Determine h*q(j) - 9*d(j). -7*j**2 Let s(k) = -2*k + 83 - 31 - 45. Let a = 745 + -751. Let i(o) be the first derivative of -o**2 + 6*o - 1. Calculate a*i(l) + 5*s(l). 2*l - 1 Let h(u) be the third derivative of -u**4/12 + 2*u**3/3 + 128*u**2. Let s(k) = -2*k + 5. Give -3*h(w) + 2*s(w). 2*w - 2 Let w(r) = 14. Let s(o) = -10. Let x(q) = -5*s(q) - 4*w(q). Let v(y) = y - 5. Determine 5*v(n) - 4*x(n). 5*n - 1 Let y(j) = -18*j**2 + 2*j + 5. Let h(z) = 38*z**2 - 3*z - 9. Determine -6*h(a) - 13*y(a). 6*a**2 - 8*a - 11 Let u(q) = -5*q**3 + 11*q**2 - 23*q - 6. Let s(l) = -109*l + 5*l**2 - 3 + 321*l - 105*l - 118*l - 2*l**3. Calculate -7*s(t) + 3*u(t). -t**3 - 2*t**2 + 8*t + 3 Let p(r) = 5*r. Suppose -273 = -6*o - o. Let l = -29 + o. Let i(z) = -9 - 1 + 4*z + l. Give -6*i(x) + 5*p(x). x Let h(g) = 15*g**3 + 8*g**2 - 2*g. Let f(r) = 37*r**3 + 18*r**2 - 5*r + 2. Give 4*f(o) - 9*h(o). 13*o**3 - 2*o + 8 Let r = -187 - -216. Suppose -34*g + 25 = -r*g. Let p(q) = -9*q + 6. Let y(l) = -5*l + 3. Determine g*y(m) - 3*p(m). 2*m - 3 Let c(y) = -y**2 + 2*y + 2. Let m be ((-18)/12)/(40/80). Let h(a) be the third derivative of a**5/30 - a**4/8 - a**3/2 + a**2. Determine m*c(g) - 2*h(g). -g**2 Let v(j) = 19*j + 2353. Let q be v(-124). Let x(o) = -14*o**2 + 17*o - 2. Let r(y) = -5*y**2 + 6*y - 1. Give q*x(f) + 8*r(f). 2*f**2 - 3*f - 2 Suppose -4*x - 206 = -z + 283, 0 = -z + 1. Let m(w) = -61*w. Let a(j) = 2501*j. Determine x*m(d) - 3*a(d). -61*d Let i(u) = u - 3. Let b(v) = -9*v**2 + 5*v - 17. What is b(m) - 8*i(m)? -9*m**2 - 3*m + 7 Let g(h) be the third derivative of 0 + 5/24*h**4 - 5*h**2 + 0*h**5 + 1/15*h**6 - h + 0*h**3. Let a(j) = -4*j**3 - 2*j. Let l = -49 - -44. Give l*a(y) - 2*g(y). 4*y**3 Let b(d) = 1480*d - 17. Let v(h) = 371*h - 4. Determine 2*b(t) - 9*v(t). -379*t + 2 Let d(v) = 5*v**2 + 7*v + 3. Let c(p) = 11*p**2 + 15*p + 7. Let l = 198 + -198. Let r(t) = t**3 + t**2 + 7. Let s be r(l). Determine s*d(h) - 3*c(h). 2*h**2 + 4*h Let s(u) = -3*u**3 + 13*u**2 + 10*u. Let p(w) be the second derivative of -w**5/20 + w**4/2 + 5*w**3/6 + 542*w. Determine 5*p(z) - 2*s(z). z**3 + 4*z**2 + 5*z Let h = -10 - -6. Let d(k) be the second derivative of 8*k**3 - 3*k**2 + 25072*k - 4. Let t(q) = 7*q - 1. Give h*d(i) + 27*t(i). -3*i - 3 Suppose 5*q = 4*z + 9, -3*z - 8 = 21*q - 26*q. Let w(x) = -x - 1. Let a(d) = -15*d**2 + 4*d + 3. Determine q*a(n) + 4*w(n). -15*n**2 - 1 Let y(c) be the first derivative of -61*c**2/2 - 229. Let i(h) = 184*h. Give 6*i(v) + 17*y(v). 67*v Let i(g) = 72*g**2 - 5*g - 312. Let q(j) = -144*j**2 + 11*j + 730. Calculate -7*i(m) - 3*q(m). -72*m**2 + 2*m - 6 Suppose -30*i + 25*i = -45. Suppose 1546 = i*t + 205. Let x = t - 138. Let l(q) = -q**3 - 4*q**2 - 2. Let n(w) = 6*w**3 + 21*w**2 + 10. Give x*l(m) + 2*n(m). m**3 - 2*m**2 - 2 Let j(c) = -4433*c + 14. Let g(z) = 1478*z - 5. What is 17*g(y) + 6*j(y)? -1472*y - 1 Let r(o) = -o**2 - o + 1. Let h(w) = -18*w**2 - 10*w + 12. Let g(l) = 16*l + 497. Let a be g(-31). Calculate a*h(x) - 12*r(x). -6*x**2 + 2*x Let x(z) = z - 1. Let g = -6 - -5. Let n(i) be the second derivative of i**2/2 + 85*i + 3. Give g*n(s) - x(s). -s Let r(x) = 3*x**3 - 6*x**2 - x - 12. Let h(u) = -4*u**3 + 4*u**2 + u + 12. Calculate -3*h(w) - 2*r(w). 6*w**3 - w - 12 Let g(s) = 5*s + 20 + 4*s**2 - 20. Let w(x) = -x**3 + 5*x + 11. Let i be w(0). Let j(v) = 9*v + 16*v**2 - 3*v - i*v**2. Determine -6*g(z) + 5*j(z). z**2 Let a(m) = 190*m**3 - m**2 - 12*m + 1. Let q(y) = 191*y**3 - y**2 - 15*y + 1. Determine -5*a(n) + 4*q(n). -186*n**3 + n**2 - 1 Let n be (-4)/6 + 7/(-3). Let o(i) be the second derivative of 38/3*i**3 + 32*i + 0 - 16*i**2. Let w(h) = -7*h + 3. Determine n*o(t) - 32*w(t). -4*t Let j(q) = q**2 + 173*q + 3063. Let b be j(-20). Let l(t) = 2*t**3 - 3*t**2 - t + 4. Let i(o) = 7*o**3 - 8*o**2 - 2*o + 12. What is b*i(m) - 8*l(m)? 5*m**3 + 2*m + 4 Let m(k) = -k + 1. Let r(d) = 6*d - 6. Let w(f) = 3*f - 3*f + 2*f**2 - 2 - f**3 + 2*f. Let b be w(1). Let s = -17 - -21. Determine b*r(q) + s*m(q). 2*q - 2 Let s(m) = -14*m**2 - 4*m. Let c(u) be the second derivative of 33*u**4/4 + 9*u**3/2 + 12*u + 27. What is 4*c(l) + 27*s(l)? 18*l**2 Let a(x) = 5*x**2 + 36*x - 14. Let t(c) = -6*c**2 - 33*c + 18. Calculate -5*a(q) - 4*t(q). -q**2 - 48*q - 2 Let x(a) = -2*a**3 - 6. Let z be 912/42 + 14/49. Let n be ((-11)/z)/((-1)/(-12)*-1). Let u(f) = -3*f**3 - 5. What is n*u(j) - 5*x(j)? -8*j**3 Let w(l) = -l**2 + 4*l + 2. Let o(r) = -3 - 6*r + r**2 - 3*r - 2. Suppose -5*q - y = -18, -5*q - 22*y + 4 = -19*y. Determine q*w(b) + 2*o(b). -3*b**2 + 2*b Let b(i) = -19*i - 10. Let d(z) = -8*z - 1. Calculate -2*b(v) + 5*d(v). -2*v + 15 Let a(q) = q + 2. Suppose 2*j = 4*j - 4. Let l(o) = -o - 20. Let y be l(-9). Let w(t) = 5*t + 11. What is j*w(s) + y*a(s)? -s Let g(j) = -385*j**2 + 63*j + 63. Let r be 5580/84 + -3 - 3*(-2)/(-14). Let p(v) = 24*v**2 - 4*v - 4. Calculate r*p(w) + 4*g(w). -28*w**2 Let o(p) = -3*p**3 + 117*p**2 + 21*p + 5. Let h(a) = 2*a**3 - 79*a**2 - 14*a - 3. What is -8*h(b) - 5*o(b)? -b**3 + 47*b**2 + 7*b - 1 Let n(f) = 3*f + 2. Let l(o) = -3*o - 1. Let h = 575 + -591. Let d(m) = 5*m + 82. Let b be d(h). Determine b*n(k) + 3*l(k). -3*k + 1 Let p(c) = 203*c**2 - 5*c + 18. Le
{ "pile_set_name": "DM Mathematics" }
993 to the power of 1/2, to the nearest integer? 1393 What is the sixth root of 76743 to the nearest integer? 7 What is the fourth root of 1706913 to the nearest integer? 36 What is 438520 to the power of 1/4, to the nearest integer? 26 What is the cube root of 9398222 to the nearest integer? 211 What is the sixth root of 20598412 to the nearest integer? 17 What is 344080 to the power of 1/2, to the nearest integer? 587 What is 9006 to the power of 1/4, to the nearest integer? 10 What is the fourth root of 1043979 to the nearest integer? 32 What is 1893862 to the power of 1/3, to the nearest integer? 124 What is 154646 to the power of 1/2, to the nearest integer? 393 What is the square root of 72655 to the nearest integer? 270 What is the square root of 11366271 to the nearest integer? 3371 What is the square root of 4152848 to the nearest integer? 2038 What is the third root of 592370 to the nearest integer? 84 What is 564402 to the power of 1/10, to the nearest integer? 4 What is 21935417 to the power of 1/2, to the nearest integer? 4684 What is 3137587 to the power of 1/2, to the nearest integer? 1771 What is the square root of 13063672 to the nearest integer? 3614 What is 30532584 to the power of 1/2, to the nearest integer? 5526 What is 101102 to the power of 1/2, to the nearest integer? 318 What is 914071 to the power of 1/7, to the nearest integer? 7 What is 279870 to the power of 1/2, to the nearest integer? 529 What is 669270 to the power of 1/5, to the nearest integer? 15 What is 31155165 to the power of 1/2, to the nearest integer? 5582 What is the square root of 3366444 to the nearest integer? 1835 What is 896170 to the power of 1/7, to the nearest integer? 7 What is 1183751 to the power of 1/7, to the nearest integer? 7 What is 12206913 to the power of 1/2, to the nearest integer? 3494 What is 21154161 to the power of 1/6, to the nearest integer? 17 What is the third root of 1789373 to the nearest integer? 121 What is the fourth root of 98290 to the nearest integer? 18 What is the square root of 7206697 to the nearest integer? 2685 What is the third root of 2436054 to the nearest integer? 135 What is 311064 to the power of 1/5, to the nearest integer? 13 What is 5172934 to the power of 1/5, to the nearest integer? 22 What is 3518972 to the power of 1/2, to the nearest integer? 1876 What is 3088596 to the power of 1/4, to the nearest integer? 42 What is the square root of 84646 to the nearest integer? 291 What is 5211780 to the power of 1/3, to the nearest integer? 173 What is the cube root of 1638809 to the nearest integer? 118 What is the third root of 1059067 to the nearest integer? 102 What is 1062255 to the power of 1/3, to the nearest integer? 102 What is 49660 to the power of 1/2, to the nearest integer? 223 What is the cube root of 7690990 to the nearest integer? 197 What is the tenth root of 5380875 to the nearest integer? 5 What is the cube root of 365059 to the nearest integer? 71 What is the third root of 22059 to the nearest integer? 28 What is the sixth root of 1565129 to the nearest integer? 11 What is 4755850 to the power of 1/2, to the nearest integer? 2181 What is the tenth root of 18937093 to the nearest integer? 5 What is the square root of 4079663 to the nearest integer? 2020 What is the cube root of 70106 to the nearest integer? 41 What is the cube root of 1584414 to the nearest integer? 117 What is the cube root of 1788545 to the nearest integer? 121 What is 367438 to the power of 1/2, to the nearest integer? 606 What is the third root of 61491 to the nearest integer? 39 What is 76485 to the power of 1/7, to the nearest integer? 5 What is 4454902 to the power of 1/7, to the nearest integer? 9 What is the square root of 36126291 to the nearest integer? 6011 What is the fifth root of 11648211 to the nearest integer? 26 What is the sixth root of 641401 to the nearest integer? 9 What is the square root of 17521 to the nearest integer? 132 What is 12201821 to the power of 1/8, to the nearest integer? 8 What is 7281156 to the power of 1/3, to the nearest integer? 194 What is the seventh root of 78956 to the nearest integer? 5 What is the seventh root of 7614649 to the nearest integer? 10 What is the cube root of 308910 to the nearest integer? 68 What is the third root of 8419029 to the nearest integer? 203 What is the square root of 5265761 to the nearest integer? 2295 What is the square root of 8357522 to the nearest integer? 2891 What is 88713 to the power of 1/4, to the nearest integer? 17 What is the cube root of 115872 to the nearest integer? 49 What is the cube root of 534615 to the nearest integer? 81 What is the third root of 118407 to the nearest integer? 49 What is 5806434 to the power of 1/3, to the nearest integer? 180 What is 8614465 to the power of 1/8, to the nearest integer? 7 What is 8059651 to the power of 1/2, to the nearest integer? 2839 What is 43821 to the power of 1/2, to the nearest integer? 209 What is the cube root of 7208521 to the nearest integer? 193 What is the cube root of 1675763 to the nearest integer? 119 What is the third root of 5904802 to the nearest integer? 181 What is the square root of 558504 to the nearest integer? 747 What is the fifth root of 2679139 to the nearest integer? 19 What is 6103035 to the power of 1/2, to the nearest integer? 2470 What is the sixth root of 2580671 to the nearest integer? 12 What is 1547824 to the power of 1/2, to the nearest integer? 1244 What is 345294 to the power of 1/2, to the nearest integer? 588 What is 31325979 to the power of 1/8, to the nearest integer? 9 What is the seventh root of 4577148 to the nearest integer? 9 What is the third root of 11739427 to the nearest integer? 227 What is 15190024 to the power of 1/2, to the nearest integer? 3897 What is the third root of 1609288 to the nearest integer? 117 What is 12624610 to the power of 1/2, to the nearest integer? 3553 What is 30914 to the power of 1/2, to the nearest integer? 176 What is the cube root of 5317128 to the nearest integer? 175 What is the square root of 9033917 to the nearest integer? 3006 What is 11621951 to the power of 1/3, to the nearest integer? 227 What is the fifth root of 299009 to the nearest integer? 12 What is 12025890 to the power of 1/5, to the nearest integer? 26 What is the cube root of 13736423 to the nearest integer? 239 What is 221455 to the power of 1/2, to the nearest integer? 471 What is the square root of 12699312 to the nearest integer? 3564 What is 430768 to the power of 1/2, to the nearest integer? 656 What is 766000 to the power of 1/7, to the nearest integer? 7 What is the square root of 2594384 to the nearest integer? 1611 What is the square root of 3762149 to the nearest integer? 1940 What is the square root of 3406656 to the nearest integer? 1846 What is the third root of 678275 to the nearest integer? 88 What is the eighth root of 789499 to the nearest integer? 5 What is 3711165 to the power of 1/9, to the nearest integer? 5 What is the square root of 1068788 to the nearest integer? 1034 What is the ninth root of 5982289 to the nearest integer? 6 What is 522032 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 3413767 to the nearest integer? 43 What is 766211 to the power of 1/3, to the nearest integer? 92 What is 1989229 to the power of 1/2, to the nearest integer? 1410 What is 358187 to the power of 1/7, to the nearest integer? 6 What is 5504246 to the power of 1/3, to the nearest integer? 177 What is the square root of 6038657 to the nearest integer? 2457 What is the seventh root of 2217961 to the nearest integer? 8 What is the third root of 3850419 to the nearest integer? 157 What is 320548 to the power of 1/10, to the nearest integer? 4 What is the square root of 3801157 to the nearest integer? 1950 What is the square root of 217665 to the nearest integer? 467 What is the third root of 389599 to the nearest integer? 73 What is the cube root of 14225516 to the nearest integer? 242 What is the eighth root of 9482487 to the nearest integer? 7 What is the seventh root of 47276 to the nearest integer? 5 What is 1350579 to the power of 1/2, to the nearest integer? 1162 What is the third root of 525018 to the near
{ "pile_set_name": "DM Mathematics" }
or c. -4 Suppose -2*n = 2 - 8. Suppose 3*o + 3*v + 6 = -0, 3*v + 6 = 0. Suppose o = n*m - 14 - 1. Solve q = -m + 4 for q. -1 Suppose -223*q - 126 = -229*q. Solve 0 = 5*w + 6 - q for w. 3 Suppose -5*i + 13 = -2*s - 2, 3*s = i - 3. Solve 8*c = 19 - i for c. 2 Suppose -9 = 2*m - 19. Solve -6*f - 4 = -m*f for f. -4 Let v be (0*(-10)/(-50))/(0 + 2). Solve v = -a + 6 - 11 for a. -5 Suppose 3*b - 4*z + 8 = 0, 4*z - 7 = 1. Suppose 3*a + j - 10 = b, 0 = -a + 6*a - 4*j - 28. Solve -v + a = -2*v for v. -4 Suppose -37*v = 5*u - 40*v, 0 = 4*u + 3*v. Let n be 4*(-3)/6*-1. Solve -3*j + j - n = u for j. -1 Let i(v) = 4*v - 2. Let b be i(1). Let p = b - -1. Suppose -d - p + 5 = 0. Solve 6 = -a + d for a. -4 Suppose 26 = 12*p - 70. Solve -p = 9*k - 7*k for k. -4 Suppose -2*m + 3*l = -4 - 2, -3*l = 3*m - 9. Let d(z) = z**3 - 2*z**2 - 3*z + 2. Let v be d(m). Solve 2*p + 20 = -v*p for p. -5 Let b = -1096 - -1101. Let h = 1 - 1. Solve b*r = -h*r for r. 0 Let h(k) = -k**2 + 125. Let y be h(0). Suppose 8*w - y = 3*w. Suppose g + 4*u = 6*g - w, 5*u = -4*g - 21. Solve 5*i - 4*i - g = 0 for i. 1 Let k = 61 - 29. Let z = k + -28. Solve 2*p + 4 + z = 0 for p. -4 Suppose -15*x = -59*x. Solve x = -6*a - 3 + 21 for a. 3 Let b = 124 + -118. Solve -1 = -b*p + 7*p for p. -1 Suppose -38*g + 41*g - 14 = -m, -4*m + 3*g = 4. Solve 3*v = -m*v + 25 for v. 5 Let p(s) = s**2 - 6*s + 3. Let k be p(0). Solve k*q = q + 2 for q. 1 Let r = 5 - -7. Suppose -5*u + u = -r. Let y = u - 2. Solve 2*x = x - y for x. -1 Suppose 13*a - 148 - 47 = 0. Suppose 5*s + a = 8*s. Solve 0*x = -s*x - 10 for x. -2 Suppose 1 = -5*b + 6. Let s(v) = -v**2 - 12*v + 32. Let h be s(-14). Let d be b + (h/(-2))/(-2). Solve -d*f = -3*f for f. 0 Let b(h) = -3*h - 27. Let o be b(-7). Let l be 0*(3 + o/3). Solve l = -g - 2 + 1 for g. -1 Suppose 4*l = q + 8*l - 10, -l = -q. Solve 1 = 3*x - q*x for x. 1 Let h = -198 - -199. Solve 2*d + h = d for d. -1 Let q(m) = m**2 - 6. Let v be q(3). Suppose -5*u - v = -23. Solve -4 = u*d - 8 for d. 1 Let t(d) = d**2 + 4. Let a be t(4). Solve 3*j - a = -2*j for j. 4 Let i(d) = -d**3 - 9*d**2 + 11*d + 10. Let k be i(-10). Solve 2*x + 6 + 0 = k for x. -3 Let x = -1393 - -1451. Solve x*z = 52*z + 12 for z. 2 Suppose 2*k + 6*k = 16. Solve -8 = 3*q - k for q. -2 Suppose 140 + 112 = 4*v. Suppose 43 - v = -5*y. Let i = 3 + 3. Solve k + i = y*k for k. 2 Suppose 0*h - 5*h - 5 = 0. Let a be (h/3)/(1/3) - -1. Solve a = -2*d + 2 for d. 1 Let y = -81 + 21. Let d = y - -63. Solve -d*i - 1 + 7 = 0 for i. 2 Suppose 2*x - v - 12 = -3*v, -2*x + 3 = -v. Let c be x/(-9)*(3 - 3). Solve 2*r + c = 4 for r. 2 Let t be (-34)/(-16) + 39/(-312). Suppose 3*q + 2 = t*z, -5 + 11 = -5*q + 4*z. Solve -u - 2 = -q*u for u. 2 Let j = 30 - 20. Suppose 4 = -3*h + 5*h. Let g be 1/(-2)*h*-2. Solve 3*y + j + g = 0 for y. -4 Let y(m) = -4*m + 2. Let o be y(-2). Let a be 2 + (3 - (4 + -3)). Solve -a*x = x - o for x. 2 Suppose 8*r = 105 + 15. Solve -n + r = 2*n for n. 5 Let o(u) = 3*u**2 + 6*u + 1. Let x be o(-4). Suppose -3*t + 2*p = -3*p - 9, t - 3*p = -1. Suppose 5*y + t = -s + y, 2*s + y = 5. Solve -s*r - x = r for r. -5 Let j be (-1)/3*81/9. Let s(l) = 2*l - 12. Let b be s(8). Let d be (-12)/8*b/j. Solve -2*v = d*v - 12 for v. 3 Let s = -60 - -60. Solve s = -2*d - 2*d - 20 for d. -5 Suppose -300 = -5*g + g. Suppose -g = -11*n + 6*n. Suppose -3*k + 21 = -n. Solve 5*o - 3 = k for o. 3 Let k(i) = i**2 - 7*i + 10. Let v be k(5). Let y = -4 - -9. Suppose 4*a - y = 5*l + 5, 0 = 5*l + 4*a - 30. Solve v = -l*u - 3*u - 20 for u. -4 Let f(p) = 9*p - 54. Let x be f(6). Solve -6*n + 7*n - 5 = x for n. 5 Let w(a) = a**2 - 4*a + 1. Let r = 11 + -6. Let p be w(r). Suppose p*v + 0*v = 0. Solve v*n = -4*n + 4 for n. 1 Let c be 1*-1*0*(-5)/(-15). Suppose 2*o - o - p - 3 = 0, 2*o - 4*p - 10 = 0. Suppose 2*r - r = o. Solve 2*j - r - 3 = c for j. 2 Let d(y) = -y**2 + 7. Let h be d(0). Suppose h*v - 20 = 2*v. Solve v*s + 9 = s for s. -3 Suppose 0*n + 5*n - 20 = 0. Suppose -5*o = -0*o - 20. Let r = n - o. Solve -2 = -2*v - r for v. 1 Suppose -19 = -2*g + 7. Let w = g - 8. Let p = -31 + 42. Solve -w*n = 1 - p for n. 2 Let s be (6/15)/((-6)/(-90)). Let i(p) = -p**3 + 6*p**2 - 2*p + 16. Let r be i(s). Let j be (-3)/(-3) - 1*-2. Solve -j = r*z - 7 for z. 1 Let d be 92/(-115) + 198/10. Solve -7*v - 54 + d = 0 for v. -5 Let x(c) = -c**2 + 19*c - 72. Let o be x(13). Solve 3*d = 5*d - o for d. 3 Let n = 135 - 140. Let u(d) = -3*d - 8. Let v be u(n). Solve 0 = -9*q + v*q + 10 for q. 5 Suppose -2*c + 3*m + 31 = 0, 3*c = -227*m + 229*m + 54. Solve -7*w + c = -2*w for w. 4 Let o(s) = 2*s**2 - 77*s - 34. Let g be o(39). Solve -16 + 11 = g*h for h. -1 Suppose -3*b - 12 = -3*w, 0 = -b - 4 + 5. Solve -w*i - i + 12 = 0 for i. 2 Let v(z) = z**3 - 3*z**2 - 10*z + 3. Let d be v(5). Solve 13*i - 16*i - d = 0 for i. -1 Suppose 0 = 15*z - 12*z. Let d = 2 + z. Solve -9 = -d*y - 3 for y. 3 Let o = 112 - 123. Let s be 4/22 - 20/o. Solve -x = -s*x for x. 0 Let p be (-6 - (19 - 7))/(-2). Solve 3*l = p - 21 for l. -4 Suppose 2*b + 8 = -4*z + 4, z + 5*b = -10. Solve -q = -z + 3 for q. -3 Let v be -12 - -4 - (-12 - 0). Let j be 2/9 + (-43)/(-9). Suppose 0 = i - h + 3 - 7, -12 = -3*i + j*h. Solve -12 = v*q - i for q. -2 Let x be (54/(-162))/(2/(-66)). Solve 0 = x*r - 7*r for r. 0 Let l = 9 + -5. Suppose l*s = -11 + 35. Let r = s + -6. Solve r = -q + 3 for q. 3 Let w be 6/2 + 7 + -6. Suppose -u + w = u. Solve 3*v = -u*v - 5 for v. -1 Let i(d) = 63*d**3 + d**2 - 3*d + 2. Let x be i(1). Let b = x - 59. Solve 0 = -z - z - b for z. -2 Suppose -4*h = -0*h - 4*i - 16, 5*h = -4*i + 2. Let b(t) = t**3 + 8*t**2 + 6*t - 25. Let l be b(-5). Solve h*v = -3*v + l for v. 4 Suppose 7*k - 8*k - x = 0, -4*k + 5*x + 45 = 0. Solve 5*p - k*p = -7*p for p. 0 Let c be (-141)/27 + 12/54. Let n be (-1)/c*(2 - -33). Solve -4*j + n = -1 for j. 2 Suppose -3*n = -3*v + 9, 2*n + 6*v = 3*v + 19. Suppose 7*k - 2*k = n*x + 6, -4*k = 3*x + 9. Suppose -2*w + 0*w = k. Solve 4*j - 2*j - 2 = w for j. 1 Let n(s) = 2*s**2 + 25*s - 6. Let z be n(-13). Let p(w) = w**3 - 8*w**2 + 7*w + 2. Let t be p(z). Solve 0 = -t*l - 7 - 3 for l. -5 Suppose -9 = r - 3*a, -6 = 2*r - 3*a - 0. Suppose r*j + 3 - 9 = 0. Solve 0*t + j*t = -6 for t. -3 Let n = 29 + -26. Let q be 18/12*10/3. Suppose 2*p = j + 4*p - 2, q*p + 25 = 5*j. Solve -j*m = -n + 15 for m. -3 Let f(u) = 9*u**2 + 6*u + 4. Let p be f(-1). Let q be (0 - -1)/(2/26). Suppose 4*j - q = p. Solve -j*k - 12 + 2 = 0 for k. -2 Let t = 22 + -20. Suppose t*z + z + 15 = 0, 0 = 4*s + 5*z + 17. Solve s*p - 9 = 1 for p. 5 Suppose 129 = 4*r + 17. Let g = 32 - r. Solve -g*o - 4 - 8 = 0 for o. -3 Let p be (17 - 12) + 10 + -8. Solve -p*j + 15 = -4*j for j. 5 Suppose 3 = 2*u - 1. Let q be (u/3)/2*-6. Let n(s) = s**2 + 3*s + 5. Let g be n(q). Solve -1 = -r - g for r. -2 Let n(x) = 5*x**3 + 6*x**2 + 7*x + 6. Let o be n(-3). Let s = o - -100. Solve 0 = -0*q - s*q + 20 for q. 5 Let l be 13/143 - (-5930)/110. Solve -59*g = -l*g - 20 for g. 4 Let h(j) = 2*j**2 - 16*j - 76. Let l be h(-4). Solve 2*u = 7*u - l for u. 4 Suppose -2*j = a - 2, 3*j = -2*a - 0*j + 7. Suppose 4*b = -5*k + 2, -b = -4*k + 12 - 2. Suppose -x - 16 = -2*q - 4, -q + 1 = k*x. Solve q*u - 12 - a = 0 for u. 4 Let q be (-4 + 2 - -1) + 4. Suppose 3*f - 4*l = -8, -q*f = f + 4*l - 8. Solve -v = -f*v for v. 0 Let d be (-2)/(-6) + (-3 - (-2180)/(-15)). Let q = -132 - d. Solve -q = -3*k - k for k. 4 Suppose 5*k - k - 8 = 0. Suppose 3*q = 46 - 10. Suppose -7*d - 10 = -q*d. Solve d*v - k = v for v. 2 Let c(x) = 5*x**3 - 46*x**2 + 6*x + 5. Let u(w) = -w**3 + 9*w**2 - w - 1. Let f(z) = 2*c(z) + 11*u(z). Let q be f(7). Solve -q*s = -s + 10 for s. -2 Suppose 3*w = -142 + 526. Suppose -i + 4*d + 32 = 2*d, 4*i + d - w = 0. Solve 7 - i = 5*f for f. -5 Let q be 8 + 1 - 8/2. Solve 16*y = 21*y - q for y. 1 Let j = 139 - 137. Solve 0 = -z + j + 3 for z. 5 Let r(j) = -j**2 + 19*j - 65. Let w be r(5). Suppose 0 = -s - s + 3*i + 36, -5*i = -2*s + 36. Solve 2 = w*d - s for d. 4 Suppose 4*s + 5 + 15 = 3*k, -2*s = 10. Solve 0*t + 2*t - 6 = k for t. 3 Suppose -2*i = 107 - 283. Let d be (-6)/(-8) + (-2604)/(-112). Let g be i/d + 2/6. Solve g*x = 2 + 2 for x. 1 Let j(d) = 2*d**2 + 6*d + 5. Let a be j(-5). Suppose 0 = -3*z + 47 + a. Let f = 28 - z. Solve -
{ "pile_set_name": "DM Mathematics" }
p: 2, v: 1}. 1/10 What is prob of picking 2 f and 1 v when three letters picked without replacement from {f: 5, v: 2}? 4/7 Calculate prob of picking 1 c, 1 e, 1 p, and 1 w when four letters picked without replacement from {c: 1, e: 3, w: 2, p: 4}. 4/35 Four letters picked without replacement from fffffffff. Give prob of picking 4 f. 1 What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, j: 1, b: 3, c: 5, m: 4, h: 1}? 1/21 Two letters picked without replacement from {y: 7, w: 1}. Give prob of picking 1 y and 1 w. 1/4 Two letters picked without replacement from aaakakaa. What is prob of picking 2 k? 1/28 Two letters picked without replacement from {k: 18, t: 2}. What is prob of picking 1 k and 1 t? 18/95 What is prob of picking 2 r and 2 l when four letters picked without replacement from flggfflrrfg? 1/330 What is prob of picking 2 y when two letters picked without replacement from yyypyypy? 15/28 What is prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 1, k: 1, g: 1, x: 3}? 1/21 Two letters picked without replacement from {n: 2, j: 3, l: 4, m: 1, r: 3, w: 3}. What is prob of picking 2 n? 1/120 Three letters picked without replacement from qxznjjxzxxzjxjjuj. Give prob of picking 1 z and 2 x. 3/68 Three letters picked without replacement from {p: 4, e: 6, g: 4}. Give prob of picking 2 g and 1 p. 6/91 What is prob of picking 1 f, 2 e, and 1 m when four letters picked without replacement from {e: 6, m: 3, f: 8}? 18/119 Four letters picked without replacement from yaadudayudydodaauu. What is prob of picking 4 a? 1/612 Three letters picked without replacement from {f: 2, o: 8}. Give prob of picking 3 o. 7/15 Two letters picked without replacement from iiiiiiiiiiviiiiiiiii. Give prob of picking 2 i. 9/10 Three letters picked without replacement from nnnnnnnvnnnn. Give prob of picking 3 n. 3/4 Two letters picked without replacement from {k: 5, x: 4, p: 7}. What is prob of picking 1 p and 1 k? 7/24 Four letters picked without replacement from {q: 1, o: 2, g: 3, l: 2, x: 9, k: 1}. What is prob of picking 4 x? 7/170 Calculate prob of picking 1 f, 2 s, and 1 p when four letters picked without replacement from {p: 1, h: 1, s: 4, f: 2, v: 3}. 2/55 Two letters picked without replacement from ppyppxpuoxppxppppppu. Give prob of picking 1 y and 1 x. 3/190 What is prob of picking 1 y and 1 h when two letters picked without replacement from {h: 1, y: 2, g: 1, m: 2, e: 1}? 2/21 Four letters picked without replacement from {d: 1, n: 1, l: 2, s: 2}. What is prob of picking 1 n, 1 d, and 2 s? 1/15 What is prob of picking 1 m and 1 t when two letters picked without replacement from {m: 2, l: 1, h: 7, b: 4, t: 1, o: 2}? 1/68 Three letters picked without replacement from ngxgd. What is prob of picking 2 g and 1 x? 1/10 Four letters picked without replacement from {u: 18, y: 1}. Give prob of picking 4 u. 15/19 What is prob of picking 1 k and 1 i when two letters picked without replacement from {d: 1, z: 2, f: 1, i: 1, k: 2}? 2/21 Three letters picked without replacement from {t: 2, m: 6, v: 9}. Give prob of picking 3 m. 1/34 What is prob of picking 2 p when two letters picked without replacement from dbbbpbp? 1/21 Calculate prob of picking 1 l, 2 p, and 1 v when four letters picked without replacement from lplvvlxllpxnn. 2/143 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aodff. 1/10 What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 2, y: 2}? 2/3 Three letters picked without replacement from {m: 6, q: 3, u: 4, i: 2, l: 3}. Give prob of picking 3 m. 5/204 Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 4, s: 3}. 4/7 Four letters picked without replacement from llllllllll. Give prob of picking 4 l. 1 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {s: 1, j: 1, q: 3, u: 3, t: 3, b: 2}. 1/13 Three letters picked without replacement from {n: 5}. Give prob of picking 3 n. 1 Four letters picked without replacement from jjsswsyjjsyw. What is prob of picking 2 w and 2 s? 2/165 Two letters picked without replacement from {u: 13, b: 3, m: 1, c: 2}. Give prob of picking 2 b. 1/57 Four letters picked without replacement from {q: 2, h: 1, c: 5, e: 1}. What is prob of picking 3 c and 1 q? 10/63 Three letters picked without replacement from {r: 2, q: 9}. What is prob of picking 3 q? 28/55 Two letters picked without replacement from {u: 3, i: 13}. Give prob of picking 1 i and 1 u. 13/40 What is prob of picking 1 k and 1 j when two letters picked without replacement from wmwikifiiwwjiw? 1/91 Three letters picked without replacement from mmqmqmmqqmmmmmqmmqq. What is prob of picking 3 m? 220/969 Four letters picked without replacement from llfllflffffffllf. Give prob of picking 3 l and 1 f. 9/52 Four letters picked without replacement from {r: 3, j: 2}. Give prob of picking 1 j and 3 r. 2/5 Two letters picked without replacement from vvvkvvxxxvvvcckx. Give prob of picking 1 c and 1 v. 2/15 Calculate prob of picking 3 z when three letters picked without replacement from {t: 3, z: 13, w: 3}. 286/969 Calculate prob of picking 3 x when three letters picked without replacement from wwjjxjwjwwwxwxww. 1/560 What is prob of picking 1 a and 1 w when two letters picked without replacement from {y: 2, w: 6, m: 2, a: 4, h: 3}? 3/17 What is prob of picking 2 s and 2 o when four letters picked without replacement from {s: 5, o: 14}? 455/1938 Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {w: 1, r: 8, z: 5, n: 2, o: 1}. 1/68 Calculate prob of picking 1 q and 2 a when three letters picked without replacement from {f: 3, w: 3, q: 2, v: 3, a: 2}. 1/143 Four letters picked without replacement from zwwwzzwkzkwwzwzzww. What is prob of picking 4 w? 7/170 Calculate prob of picking 1 j and 2 z when three letters picked without replacement from uzuuzujuj. 1/42 What is prob of picking 1 x, 1 o, and 1 v when three letters picked without replacement from {u: 1, o: 1, c: 1, x: 2, a: 1, v: 1}? 2/35 What is prob of picking 3 a when three letters picked without replacement from dakkdmdkadkddaddaa? 5/408 Three letters picked without replacement from {i: 1, s: 2, m: 1, x: 1, u: 2, f: 1}. Give prob of picking 2 u and 1 x. 1/56 Calculate prob of picking 3 q when three letters picked without replacement from {z: 1, p: 4, q: 4, a: 1}. 1/30 What is prob of picking 1 h and 1 u when two letters picked without replacement from htkhuhtkuhttkkhu? 1/8 Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, u: 5}. 3/28 Calculate prob of picking 1 k and 2 c when three letters picked without replacement from ckikciiikckiici. 24/455 What is prob of picking 2 f and 1 m when three letters picked without replacement from fmmfffff? 15/28 Two letters picked without replacement from mcmkmyymuyyyyym. What is prob of picking 2 m? 2/21 What is prob of picking 1 d, 1 g, 1 f, and 1 c when four letters picked without replacement from ddcggddfgggdcgddgg? 28/765 Calculate prob of picking 3 b when three letters picked without replacement from {w: 2, b: 5}. 2/7 Three letters picked without replacement from thtktkhhthhttkktzh. What is prob of picking 3 h? 5/204 What is prob of picking 1 x and 1 g when two letters picked without replacement from {m: 1, x: 2, g: 9, w: 2}? 18/91 What is prob of picking 3 f and 1 t when four letters picked without replacement from {f: 4, d: 6, t: 4}? 16/1001 What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 5}? 1/21 What is prob of picking 2 z when two letters picked without replacement from {a: 2, q: 4, z: 2}? 1/28 Three letters picked without replacement from zrrl. What is prob of picking 3 z? 0 Two letters picked without replacement from {t: 4, s: 6, d: 5, f: 4}. What is prob of picking 1 t and 1 d? 20/171 Calculate prob of picking 3 k when three letters picked without replacement from {k: 8, d: 5, b: 4, p: 2}. 56/969 Calculate prob of picking 2 x and 1 m when three letters picked without replacement from mmaccacxcamxx. 9/286 Four letters picked without replacement from wwekge
{ "pile_set_name": "DM Mathematics" }
to -2527? True Is -1/4 greater than or equal to -2101/5? True Is 1015 greater than or equal to 1013? True Are 215 and 213 equal? False Is -7739 greater than -1/4? False Is -2/12469 equal to -1? False Does -10 = -17? False Do -4065 and -4065 have the same value? True Is 158 greater than or equal to 159? False Is -31 at most 76? True Which is smaller: -40/123 or -1/2? -1/2 Are 380 and -1/31 non-equal? True Which is smaller: -110 or -105? -110 Which is smaller: 6/83 or -1? -1 Is -383/3 equal to -128? False Is -197 > -212? True Which is bigger: 1/754 or 1? 1 Which is bigger: 2/8837 or 0? 2/8837 Do -217 and -2.8 have the same value? False Do -1 and -1/6411 have the same value? False Which is smaller: 0 or -23/19? -23/19 Which is smaller: -10634 or -10635? -10635 Is 82 > 70? True Do -165 and -164 have different values? True Which is bigger: -1/2 or 3/22? 3/22 Which is bigger: -155 or -9? -9 Is 1/11 at least -1/144? True Which is greater: -0.9 or -0.94? -0.9 Is -57 smaller than -57? False Which is bigger: -5 or -282/53? -5 Which is smaller: 45 or 44? 44 Which is smaller: 13/144 or 1? 13/144 Is -1/101 != 0? True Do -1262 and -1264 have the same value? False Which is bigger: 1 or 165? 165 Which is smaller: -9 or 7? -9 Which is smaller: 83 or -1.1? -1.1 Are -54 and -2 nonequal? True Which is bigger: 251 or 289? 289 Which is bigger: 8/5 or -3.6? 8/5 Are 3/383 and 0 non-equal? True Is 20278/3 not equal to 6759? True Which is greater: 1.2 or 1.4? 1.4 Is 66 greater than or equal to 76? False Is -1 greater than or equal to -30/61? False Is -709 at least as big as -2? False Which is smaller: -138/31 or -5? -5 Is 7450 smaller than 7450? False Is 547 bigger than 546? True Which is bigger: 30 or 32? 32 Which is smaller: 6.5 or 0.04? 0.04 Does -2/63 = -4? False Which is bigger: 1688 or 1691? 1691 Which is smaller: 0 or -16/39? -16/39 Which is smaller: -1 or 4/369? -1 Which is smaller: -1/29229 or -1? -1 Is -133 greater than or equal to -138? True Which is smaller: 501/11 or 47? 501/11 Which is bigger: -1 or -4/3115? -4/3115 Is 32 smaller than 24? False Is -7589 <= -7587? True Which is smaller: 194 or 1362/7? 194 Which is bigger: 0.1 or -32/21? 0.1 Which is bigger: 0 or 10885? 10885 Are -1471 and -1467 equal? False Does 10 = -76/39? False Which is bigger: 191 or 192? 192 Is -407 at least -407? True Is -2/753 bigger than 2/9? False Is 589 at most as big as 590? True Is -238 at least -223? False Are 8035 and 8034 non-equal? True Is -18/97 at most -2/7? False Do -1 and 4/23 have different values? True Which is bigger: -87/80 or -1? -1 Which is smaller: 1 or -4/3087? -4/3087 Which is bigger: -6 or -640/91? -6 Is -1 != -1794? True Which is smaller: -2/16235 or 0? -2/16235 Is -36 >= -33? False Which is smaller: 1597 or 1598? 1597 Is 44 < 44? False Is -3/13 greater than 10? False Which is bigger: -2/137 or 0? 0 Is 2/3 >= 4505/3? False Is -2/96169 at least -1? True Is 732 greater than 732? False Is 5354 equal to 5354? True Which is greater: 1 or -79/280? 1 Is -3/320 smaller than 0? True Which is smaller: 1 or 1/383? 1/383 Which is smaller: -487 or -485? -487 Is -190/41 greater than -6? True Is -10 equal to -206/19? False Is 2/1181 bigger than 0? True Is 270/569 smaller than 1? True Which is smaller: 144/5 or 29? 144/5 Which is smaller: 1174 or -2/5? -2/5 Is 0 greater than or equal to -49/38? True Is 36 smaller than 37? True Which is smaller: 2 or 76/81? 76/81 Which is bigger: -19/2 or 23? 23 Is 28 at least as big as 28? True Which is smaller: 122 or 604/5? 604/5 Are -25 and -136 unequal? True Is 0 <= -181/214? False Which is bigger: -379 or -0.1? -0.1 Is 2058/13 smaller than 158? False Is 210 less than or equal to -2? False Which is smaller: -9 or -1/2? -9 Which is greater: 2/9 or -3/59? 2/9 Which is greater: -152 or -168? -152 Which is smaller: 19 or 0.04? 0.04 Is -347 at least -347? True Which is smaller: -0.09 or 114? -0.09 Which is bigger: -475/9 or -53? -475/9 Which is bigger: 1 or 38/83? 1 Which is smaller: 6/317 or -1? -1 Which is greater: 4/4779 or 0? 4/4779 Which is smaller: 261 or 2? 2 Do -1044 and -1043 have the same value? False Which is bigger: -1 or 10/673? 10/673 Is -4 >= -2/89? False Is 19 equal to 11? False Which is bigger: -1616 or -16? -16 Is -30 less than -6? True Does -5 = 0.308? False Which is smaller: -9 or 7? -9 Is 5/1128 smaller than 0? False Is -11 equal to -32/3? False Is -588 greater than -588? False Is 1 at least as big as 15/13? False Is -781 smaller than -751? True Is 69 bigger than 69? False Which is bigger: -1867 or -1869? -1867 Is -1/2 != -1.9? True Are -21 and -4 equal? False Which is smaller: -464.5 or 0.1? -464.5 Which is bigger: 469 or 480? 480 Are 5824 and 5822 equal? False Which is greater: 60/163 or 0? 60/163 Which is greater: 2/10437 or 0? 2/10437 Is -0.1 not equal to -2207? True Do 148 and 149 have different values? True Which is greater: -417 or -418? -417 Is -2/35113 at least as big as 1? False Is -2/2765 <= 0? True Which is smaller: 20 or -2.22? -2.22 Is -230 at least -222? False Which is greater: 1 or 13/109? 1 Which is smaller: 1/26 or -1/7? -1/7 Do -0.09 and -0.1 have different values? True Is 41 bigger than 41? False Which is greater: 0 or 0.013? 0.013 Is 59 greater than 17/5? True Is -2/7 < 772? True Is 4984 at least as big as 4983? True Is 553/6 <= 92? False Are -693 and -691 equal? False Is -383 bigger than -384? True Is 1 less than -10/33? False Is 0 equal to 16/13? False Is 55 != 138? True Which is greater: 1 or -1/307? 1 Which is smaller: -383 or -409? -409 Which is bigger: 2780 or -1? 2780 Which is smaller: -114/11 or -10? -114/11 Which is greater: 2/1381 or 0? 2/1381 Which is bigger: -12/31 or -21/8? -12/31 Is -1/6 bigger than -129? True Which is bigger: 2018/45 or 46? 46 Which is smaller: 61 or 17? 17 Which is greater: 5869 or 0? 5869 Do -1844 and -1844 have the same value? True Is -5073 at least -5073? True Which is smaller: 611 or 612? 611 Are 2 and 17/15 nonequal? True Which is greater: -30 or -117/4? -117/4 Are 1/3720 and 0 nonequal? True Is -341 bigger than -341? False Which is bigger: -111 or -110? -110 Which is smaller: -84/11 or -9? -9 Are -102 and -1947/19 nonequal? True Is -47 greater than -11? False Which is bigger: -26 or -571? -26 Which is bigger: -0.1 or 4/4801? 4/4801 Does 26/1199 = -1? False Which is smaller: 94 or 92? 92 Which is bigger: 4/1439 or 0? 4/1439 Which is bigger: -1.9 or 485? 485 Is 1 at least -2/10483? True Is -0.2 equal to 6/79? False Which is smaller: 3 or -32/7? -32/7 Which is smaller: -5/2 or -3? -3 Which is bigger: 1/2 or -142/7? 1/2 Which is bigger: 2/11 or -557? 2/11 Is 60/11 at most as big as 2/59? False Which is smaller: -266/31 or -10? -10 Is -509 less than or equal to -508? True Is -336 less than or equal to -337? False Is -7/1816 >= 0? False Is -82/3 at least as big as -27? False Which is greater: 8 or 403? 403 Which is smaller: 325 or 2601/8? 325 Is 7 at least as big as 0.004? True Which is bigger: 1 or 1/123? 1 Which is bigger: -17/300 or -1? -17/300 Are -2/2705 and 1 non-equal? True Is 2678 <= 2678? True Which is greater: 828 or 827? 828 Which is bigger: 1/2221 or 1? 1 Which is bigger: -0.36 or 2? 2 Which is bigger: -655 or -2? -2 Which is greater: 4/15909 or 1? 1 Is -32 >= -1298/41? False Is 69 <= -54? False Are -1112 and -1 non-equal? True Which is bigger: 114 or 1? 114 Are 1 and -2/26599 equal? False Is -366 at most -365? True Which is bigger: -1205 or -1207? -1205 Which is bigger: -2 or -0.01? -0.01 Which is bigger: -17 or -3? -3 Which is smaller: 876/7 or -1? -1 Which is greater: -1/1516 or -1? -1/1516 Is 140 at least as big as 127? True Is 13 at most 12? False Is 18/11 less than or equal to -1? False Is -14 > -14? False Is -51 smaller than -51? False Which is greater: 455 or 34? 455 Which is smaller: 1/3282 or -2/13? -2/13 Which is smaller: -9 or 10? -9 Is 214 not equal to 1.52? True Which is smaller: -1.98 or -1? -1.98 Is -770 less than or equal to -768? True Which is greater: 7.1 or -5? 7.1 Is -1/136 bigger than -1? True Is 259/18 bigger than 15? False Which is smaller: -8157 or -8152? -8157 Do -7 and -31 have different values? True Which is smaller: -100/139 or -1? -1 Do 1/4 and -16126 have the same value? False Which is greater: -1/1131 or 0? 0 Which is s
{ "pile_set_name": "DM Mathematics" }
ulate the greatest common divisor of 1298406 and 498. 6 What is the highest common divisor of 5269 and 2753? 1 Calculate the highest common factor of 18405238 and 524. 262 What is the greatest common factor of 376 and 149007343? 47 Calculate the greatest common divisor of 18 and 4647528. 18 Calculate the highest common factor of 41546242 and 16. 2 Calculate the highest common factor of 90668505 and 2895. 2895 What is the greatest common divisor of 109589 and 229? 1 Calculate the greatest common divisor of 404451 and 4887. 9 What is the greatest common divisor of 1584737077 and 1738? 869 Calculate the highest common factor of 448 and 2186024. 8 Calculate the greatest common divisor of 14 and 28616231. 7 Calculate the greatest common factor of 9352 and 5392184. 56 What is the highest common divisor of 13041 and 19946682? 189 Calculate the highest common divisor of 108 and 241087680. 36 What is the greatest common factor of 883513179 and 2099? 2099 What is the greatest common factor of 403197480 and 68040? 7560 Calculate the greatest common divisor of 3498818 and 5513. 149 Calculate the greatest common divisor of 6656 and 11533184. 1664 Calculate the greatest common divisor of 7418216 and 4. 4 Calculate the highest common factor of 16703037 and 312. 39 Calculate the highest common factor of 2611930 and 1180. 590 What is the greatest common factor of 42048 and 4644333? 657 What is the highest common divisor of 5282 and 341886? 38 Calculate the highest common divisor of 7375 and 451940. 295 What is the greatest common divisor of 9144626 and 326? 326 Calculate the highest common factor of 4490101 and 308. 77 Calculate the highest common factor of 254136490 and 9175. 1835 Calculate the highest common divisor of 126362 and 13118533. 1541 Calculate the highest common factor of 37999240 and 23560. 760 Calculate the highest common divisor of 28 and 463816. 4 What is the highest common factor of 7920 and 55454490? 90 What is the greatest common divisor of 17958896 and 16? 16 Calculate the highest common factor of 78 and 98366606. 26 What is the greatest common divisor of 6792 and 280056? 24 What is the highest common factor of 2852092 and 2732? 4 Calculate the highest common divisor of 189843677 and 982. 491 What is the greatest common factor of 13518 and 717? 3 Calculate the highest common factor of 20442102 and 5302. 482 Calculate the highest common divisor of 1100 and 10755668. 44 Calculate the greatest common factor of 553 and 40159. 7 Calculate the greatest common divisor of 1589484 and 9303. 1329 Calculate the highest common factor of 650375 and 250. 125 What is the greatest common divisor of 7446 and 1935741? 219 What is the greatest common divisor of 15535 and 13731745? 1195 What is the greatest common factor of 116856847 and 10742? 5371 What is the greatest common factor of 85386 and 1283982? 798 What is the greatest common divisor of 30 and 423942? 6 What is the greatest common factor of 598 and 17252001? 299 Calculate the highest common factor of 11368 and 61480. 232 Calculate the greatest common divisor of 992229 and 432012. 777 Calculate the highest common factor of 35383988 and 28. 4 What is the greatest common divisor of 176 and 28257328? 176 Calculate the greatest common factor of 45 and 15461055. 45 Calculate the highest common divisor of 3120030464 and 9143. 9143 Calculate the greatest common divisor of 2604 and 10539. 3 Calculate the greatest common divisor of 90479557 and 19390. 1939 Calculate the highest common factor of 169484199 and 2451. 2451 What is the highest common factor of 944 and 11144038? 118 What is the greatest common factor of 252476 and 426? 142 What is the greatest common factor of 526566 and 269988? 894 Calculate the greatest common factor of 990981 and 9537. 867 What is the greatest common factor of 43441528 and 34? 34 What is the greatest common divisor of 11077013 and 1581? 527 What is the greatest common divisor of 5031604 and 3032? 1516 Calculate the highest common factor of 50 and 292122975. 25 Calculate the greatest common factor of 22 and 8309389. 11 What is the greatest common factor of 292498 and 499? 1 Calculate the highest common divisor of 320140215 and 171. 171 What is the greatest common divisor of 867860676 and 36? 36 Calculate the highest common factor of 154 and 16887206. 14 Calculate the highest common factor of 11 and 665436. 1 What is the greatest common factor of 137700 and 37600? 100 What is the greatest common factor of 650284 and 25423432? 8908 What is the greatest common factor of 1133 and 3819167? 11 What is the greatest common factor of 6441952 and 121? 11 What is the greatest common factor of 2043 and 7269? 3 What is the greatest common factor of 5657744 and 32? 16 Calculate the greatest common factor of 9897732 and 806. 26 Calculate the highest common divisor of 260 and 9414340. 260 Calculate the highest common divisor of 5433 and 1762188117. 5433 What is the highest common divisor of 440 and 3247720? 40 Calculate the greatest common divisor of 183441 and 19176. 141 What is the highest common divisor of 77986640 and 1520? 1520 Calculate the highest common divisor of 2188072 and 11991. 571 What is the highest common factor of 62289 and 4617? 81 Calculate the highest common divisor of 8873150 and 1100. 550 What is the greatest common factor of 14 and 154910420? 14 What is the greatest common factor of 13104675 and 8100? 225 Calculate the highest common factor of 1342 and 1501027. 671 Calculate the greatest common factor of 136000 and 1279250. 4250 Calculate the greatest common factor of 103834 and 116958. 386 Calculate the highest common divisor of 123 and 9693958. 41 Calculate the greatest common factor of 112105 and 385. 35 What is the greatest common divisor of 55614 and 76074? 186 What is the greatest common divisor of 58 and 13816499? 29 Calculate the greatest common divisor of 8586275 and 3405. 1135 Calculate the highest common factor of 12 and 87459216. 12 Calculate the highest common divisor of 425778 and 18618. 174 Calculate the greatest common divisor of 9725504 and 11776. 1472 Calculate the highest common factor of 259391 and 2651. 11 Calculate the highest common divisor of 3297360 and 14080. 880 What is the greatest common divisor of 27260 and 72743600? 580 What is the greatest common divisor of 361044 and 4188? 12 What is the greatest common divisor of 1870 and 7341926? 34 What is the highest common factor of 1585778 and 8816? 1102 Calculate the highest common factor of 105216 and 77120. 64 Calculate the greatest common divisor of 14305 and 5169827. 2861 What is the greatest common factor of 8658 and 4284378? 666 Calculate the highest common divisor of 456160 and 550. 10 Calculate the highest common divisor of 364 and 2634892. 52 What is the greatest common divisor of 18272144 and 1581? 527 Calculate the greatest common divisor of 16 and 13229644. 4 Calculate the highest common divisor of 122534 and 38. 2 What is the highest common divisor of 85515 and 587203? 5701 What is the highest common factor of 11176 and 1400637788? 5588 Calculate the greatest common divisor of 68912 and 395344. 16 What is the highest common factor of 4701452 and 238? 238 What is the highest common factor of 65360 and 6556425? 4085 What is the highest common divisor of 20 and 628644865? 5 Calculate the greatest common factor of 8826 and 67371800. 2942 Calculate the greatest common divisor of 18827556 and 11704. 836 Calculate the greatest common factor of 104468 and 1098188. 2548 What is the greatest common divisor of 68077278 and 9? 9 Calculate the greatest common factor of 2102 and 628. 2 What is the greatest common divisor of 21110531 and 13? 13 Calculate the greatest common divisor of 1582 and 50035496. 1582 What is the greatest common factor of 8488 and 169071411? 1061 Calculate the greatest common divisor of 899 and 36254176. 29 What is the greatest common divisor of 12 and 27653052? 12 Calculate the greatest common factor of 10894450 and 4760. 1190 Calculate the highest common divisor of 156 and 2259647. 13 What is the greatest common divisor of 441555240 and 56? 56 What is the highest common divisor of 402512 and 148192? 176 Calculate the greatest common divisor of 5624382 and 408. 102 What i
{ "pile_set_name": "DM Mathematics" }
4*x - 8*x. Let m = x + 39. Suppose -4*u - 12 = -m*u, v + 5*u = -21. What is o(v)? -4 Suppose 1870 = -65*b + 10*b. Let w(x) = -x**2 - 28*x + 196. Give w(b). -8 Let t(j) = -3*j**3 - 27*j**2 + 11*j + 29. Let x(u) = 5*u**3 + 41*u**2 - 16*u - 44. Let r(g) = -8*t(g) - 5*x(g). Let h = 4592 + -4582. Determine r(h). 8 Let r(j) = -85*j**2 - 28*j + 10. Let a(m) = -156*m**2 - 56*m + 18. Let g(k) = 6*a(k) - 11*r(k). Determine g(-28). -2 Let u(y) be the second derivative of 0 - 5/2*y**2 + 5/6*y**3 - 73*y. What is u(8)? 35 Suppose -3*r - 4 = -5*j, -3 + 24 = -7*r. Let g(h) = -97*h - 2. Calculate g(j). 95 Let x(c) = 5*c**2 + 47*c**2 + c**3 + 78267 - 54*c - 78327. What is x(-53)? -7 Let l be (0 - 1)/(1*(-7)/644). Let a be ((-506)/l + 1*5)*-18. Let f(k) = -k**2 + 8*k + 13. What is f(a)? 4 Let d be 4/4*2*(39/(-6) - -6). Let f(o) = -24*o**3 + o + 1. Determine f(d). 24 Suppose -2*k = 9*j - 8*j + 3, -2*k = 8. Suppose -m - 13 = m - j*f, m = -2*f - 11. Let g(r) = -r**3 - 9*r**2 + r + 13. Determine g(m). 4 Let q(p) = 20 + 18*p**2 - 7674117*p - 19 + 7674117*p. Let k(u) = 2*u - 1. Let w be k(1). Determine q(w). 19 Let g(u) = -10*u - 5. Let x(i) = 1. Let a(f) = -7*f - 8. Let z(t) = a(t) + 4*x(t). Let r(q) = -5*g(q) + 6*z(q). Give r(1). 9 Let t be 35*(-57)/133 + 6. Let u(q) = 19*q + 156. What is u(t)? -15 Let z be 0/3 + (-3)/(-3)*2. Let p(j) = 3*j + 2*j - 4*j + z. Let d be (-3 + 1 - 9) + 3. Calculate p(d). -6 Let a(g) be the third derivative of -7*g**6/120 + 25*g**4/24 + 25*g**3/6 - 167*g**2 + 2. Determine a(-1). 7 Let c(m) = -9*m**3 + 2*m**2 - 1. Let x(p) = -10*p - 7. Let l be x(-2). Let f = 15 - l. Suppose -f*y + 8 = -5*a, 3*y - y - 6 = 4*a. Give c(y). 10 Let b(l) = l**3 + 39*l**2 - 38*l + 79. Let g be (-1572)/39 - (-132)/429. What is b(g)? -1 Suppose -3*g + 32 = -2*u + 23, -2*g = -5*u - 6. Let m(k) = -7*k + 16. What is m(g)? -5 Let j(c) = -c**3 - 23*c**2 + 22*c - 73. Let k(f) = 2*f**3 - 27*f**2 - 13*f + 314. Let b be k(13). Calculate j(b). -25 Let u(a) = -9*a + 3*a + 109 - 1804*a**2 + 1803*a**2. Let d be u(-14). Let z(j) = -j**2 - 3*j + 3. Give z(d). 3 Let c(w) = 3*w**3 + 2*w**2 + 71*w + 71. Let m be c(-1). Let n(l) be the second derivative of -13*l**4/12 + l**3/6 + l**2/2 + l. What is n(m)? -13 Let t(n) = -36*n + 18. Let q be t(-8). Suppose 11*i = -53 + q. Let l(w) = i - 3*w - 11 - 13 + 2*w. Determine l(-4). 3 Let m(u) = 35*u + 61 - 48*u + 10*u. What is m(16)? 13 Let q(f) = 2*f**3 + 14*f**2 + 29*f + 37. Let l be q(-5). Let y(p) be the second derivative of -p**4/12 - 7*p**3/6 + 2*p**2 - p. What is y(l)? -4 Let p = -25 + 33. Suppose 2*l = 6*z - z - 4, 2*l + z - p = 0. Let u be (0 + (-22)/(-6) + -2)*l. Let h(y) = -3*y + 4. What is h(u)? -11 Let a(u) = -2*u + 10. Let x(f) = 74*f**2 - 37*f**2 + 12 - 36*f**2 - 5*f. Let y be x(3). Determine a(y). -2 Let z(y) = -4*y**3 - 2*y**2 + y. Let d(g) = -g**3 + 112*g**2 - 138*g + 2998. Let q be d(111). Calculate z(q). -5 Let t = -537 - -587. Let o be (-250)/t - (-20)/2. Let m(v) = -3*v + 19. What is m(o)? 4 Let x be 6/(15/(-6) + 4). Suppose s - 4*q = x, -s - q - 2*q + 4 = 0. Suppose 0 = -s*p + 2*f - 3 - 7, -f + 6 = -3*p. Let d(w) = -13*w**2 + 1. What is d(p)? -12 Let u(g) = -7*g**2 + 11*g + 9. Let s(v) = -v**2 + 2*v. Let p(w) = 6*s(w) - u(w). Give p(-4). 3 Let j(f) = f + 42. Let l be j(-27). Suppose 0 = 5*z + 15, -2*t - 4*z + l = -61. Suppose -42*q = -t*q. Let v(y) = y - 16. Give v(q). -16 Let z(u) = -3*u - 52. Let s(w) = w + 26. Let t(r) = -5*s(r) - 2*z(r). Let o be (-85)/(-34) + (32/(-96) - 39/18). Give t(o). -26 Suppose -8*h - 112 + 96 = 0. Let r(c) = 16*c**3 + 10*c**2 + c + 16. Let k(n) = -3*n**3 - 2*n**2 - 3. Let i(g) = h*r(g) - 11*k(g). Give i(-4). -23 Let p(n) = 34*n + 3162. Let v be p(-93). Suppose 5*o + 0 = 10. Let k(t) = 3 - t**3 - t - t**o - 3 + 12. Determine k(v). 12 Let r = -12 - -22. Suppose 16 = r*z - 8*z. Suppose -3*l + 3*x + 24 = 0, 3*x + 2 = 2*l + z*x. Let f(a) = a**2 - 7*a + 2. Determine f(l). -4 Suppose p - 3*u + 21 = 1, 3*p + 60 = -u. Let y be ((-8)/10)/((-8)/p). Let t(c) = c**2 - c + 1. Calculate t(y). 7 Let l(y) = y**2 + 7*y - 4. Suppose 29 + 25 = 6*v. Let i be (-2)/v*1 - (-52)/(-9). Calculate l(i). -10 Let k(p) = -19*p + 13. Suppose -7*h = -16 + 51. Let i(x) = -38*x + 21. Let v(g) = h*k(g) + 3*i(g). Calculate v(-1). 17 Suppose 171*l + 321*l = 3936. Let p(m) = -14*m + 68. Calculate p(l). -44 Let z = 274 + -143. Let w(b) = -z - 12*b + 133 + 2*b. Determine w(-3). 32 Let g(c) = 15*c**3 - 31*c**2 + 21*c + 3. Let d(t) = -t**3 + 5*t**2 - 3*t. Let j(m) = 6*d(m) + g(m). What is j(-2)? -79 Suppose 0 = a - 5*i + 4, -21*a + 20*a - 3*i = -20. Let r(o) = -o**3 + 13*o**2 - 15*o - 12. What is r(a)? 65 Let u be 456/(-28)*(-56)/12. Let x(d) = 71*d**3 - 148*d**3 + 2*d + u*d**3 - 3*d**2. Suppose 3*f - 1 + 10 = 0. Give x(f). -6 Suppose 10 = -5*q, q - 4 + 6 = 2*s. Let x be 64/3 - 10/(-15). Let t(f) = -4*f - 8 + x + 5*f. Determine t(s). 14 Let x(o) = 20*o - 32*o + 4*o + 63 + 34*o + 7*o - o**2. Calculate x(35). -7 Let y(r) be the third derivative of r**4/4 - 13*r**3/6 - 382*r**2. Give y(7). 29 Let o(i) = 13*i**2 + 89*i + 12. Let t(x) = 18*x**2 + 129*x + 19. Let f(r) = -7*o(r) + 5*t(r). Give f(23). -12 Let w(d) be the second derivative of -7/6*d**3 - 9*d - 8*d**2 - 1/12*d**4 + 0. Let u(h) be the first derivative of w(h). Give u(-5). 3 Let d = -8 - -15. Suppose 5*g + 41 = h + 3*h, 3*g = -2*h - d. Let s(z) be the first derivative of z**2/2 - 3*z - 22. Calculate s(h). 1 Let j = -138 + 379. Let a = -247 + j. Let q(v) = -v**2 - 7*v - 3. Calculate q(a). 3 Let n(f) = 1. Let b(z) = -3*z - 4. Suppose -2*x - 25 + 19 = -5*y, -2*x = -2*y. Let t(h) = h + 5. Let d be t(-6). Let q(v) = d*b(v) + y*n(v). Determine q(-4). -6 Let c(y) = 5*y**3 + 11*y**2 - 11*y - 4. Let v(f) = -3*f**3 - 6*f**2 + 6*f + 2. Suppose -89*k + 86*k = 33. Let d(r) = k*v(r) - 6*c(r). Calculate d(2). 26 Suppose 0 = -33*l + 32*l + 25. Let o(i) = -13 - i + l - 24. Let h(y) = y**3 + 6*y**2 + 7*y + 2. Let r be h(-5). Determine o(r). -4 Let d(a) = -a**3 + 12*a**2 + 4*a - 2. Let z(g) = -g**2 - 1. Suppose 0*m = -7*m - 35. Let r(j) = m*z(j) - d(j). Determine r(7). -21 Let h(n) = -3*n**3 + 103*n**2 - 131*n - 29. Let k be h(33). Let s(w) = -3*w**3 + 11*w**2 + 15. Calculate s(k). -1 Let b(q) be the third derivative of 44 + 3*q**2 + 0*q - 1/12*q**5 - 1/60*q**6 - 5/24*q**4 - 1/3*q**3. Give b(-3). 22 Let n(r) = -r**2 - 39*r + 2389. Let g be n(33). Let u(f) = -f**3 + 12*f**2 + 9*f + 25. Give u(g). -27 Let b(d) = -d**3 - 41*d**2 - 3*d - 119. Let f be (1/(-8) - (-330)/80)*(-410)/40. Determine b(f). 4 Let l(r) = -2*r**3 + 38*r**2 + 39*r + 9. Let b be l(20). Let d(q) = -q**2 - 8*q + 22. Calculate d(b). -11 Let j(d) = 13*d**2 - 7. Suppose 0 = -4*r - 16, 2*r = -19*x + 22*x + 1. What is j(x)? 110 Let p(a) = 926*a - 67 - 2739*a + 908*a + 923*a + a**2. What is p(-21)? -4 Let d(u) be the third derivative of u**5/60 + u**4/2 + 8*u**3/3 + 7*u**2 + 83*u. Suppose 0 = 6*f - 3*f + 33. Calculate d(f). 5 Suppose 3*t + 1 = 5*u - 18, 0 = 4*u - 5*t - 23. Let r be (40/(-12))/(2/(-6)). Let o(x) = x - 3*x + r*x. Determine o(u). 16 Let r(w) = 183*w - 1799. Let y be r(10). Let c(a) = 6*a - 189. What is c(y)? -3 Let x be 7 - (-6 - -7)*4. Let f(c) = x*c**2 + 11*c - 1 + 3*c**2 - 13*c + c**3. What is f(-6)? 11 Let z = -688 - -690. Suppose 0 = -z*g - 3*g + 35. Let u(k) = k**2 - 7*k - 4. Calculate u(g). -4 Let d(u) = u**3 - 8*u**2 + u. Let p be d(8). Let t(x) = -4 + 3 - 2 - p*x. Suppose -15*o + 13 = -2*v - 12*o, 0 = 2*v + 2*o - 2. Calculate t(v). 13 Suppose 20 = 5*d, 22 = 29*i - 28*i + 4*d. Let h(m) = -14*m + 81. Let o be h(i). Let v(q) = -q**3 - 2*q**2 + 3*q - 4. Give v(o). -4 Let k(o) be the first derivative of -o**6/360 - 7*o**5/120 + 7*o**4/24 + o**3/3 - 4*o**2 + 36. Let l(b) be the third derivative of k(b). Determine l(-7). 7 Let w(g) = g**2 + 3*g - 6. Let z be w(2). Suppose -j - 11 = -z*r, 3*j - 3*r + 0*r + 6 = 0. Let x(b) = 8*b**3 - 1. Determine x(j). 7 Let n(d) = 7*d**2 - d + 1. Suppose -3*k - 2*k - 5 = 0, -3*a + 3*k + 33 = 0. Suppose -z + a + 3 = 0. Suppose -3*s - z = 2*m, -3*m - 5*s - 27 + 5 = 0. Give n(m). 7 Let i(g) = 115*g**2 - 61*g - 207. Let t(c) = -66*c**2 + 30*c + 103. Let h(w) = -4*i(w) - 7*t(w). Calculate h(-13). 3 Let i be ((-9)/3)/(-2*(-6)/8). Let h = 7 + i. Let g(q) = -4 + 0 + 2 + 1 - h*q. Calculate g(4
{ "pile_set_name": "DM Mathematics" }
third derivative of 0 + 196*i**2 - 9*i**4 + 0*i - 31/2*i**3. Differentiate g(t) with respect to t. -216 Suppose -3*a - 3 = 0, -2*x + x + 623 = -2*a. Find the second derivative of 659 - 2*j**3 + j - x - 5*j**2 - 2*j wrt j. -12*j - 10 Let y(p) be the third derivative of 145*p**8/21 + 2425*p**4/24 + 1874*p**2. Find the second derivative of y(k) wrt k. 46400*k**3 Let w(b) be the first derivative of 103/6*b**6 + 0*b + 0*b**4 + 12 - 1/5*b**5 + 0*b**2 - 146/3*b**3. Find the third derivative of w(n) wrt n. 6180*n**2 - 24*n Let z(w) = -3*w**2 - 43*w - 10. Let t be z(-14). What is the derivative of 13 + 2 + 24*a - 2 + 204*a + t wrt a? 228 Suppose -6*g + 86 = -g - q, -4*g = -5*q - 52. Find the second derivative of 40*u**4 + g*u + 95*u - 128*u**4 wrt u. -1056*u**2 Let c(f) = f**3 + f + 4. Let h(o) = 9*o**3 + 22*o**2 + 4*o - 34. Let s(w) = -6*c(w) + 2*h(w). What is the second derivative of s(r) wrt r? 72*r + 88 What is the first derivative of -74 - 1078 + 800 - 7309*y**3 - 3715 wrt y? -21927*y**2 Let d(j) be the first derivative of -33/2*j**2 - 16 + 8/3*j**3 - 17*j. Let r(a) be the first derivative of d(a). What is the first derivative of r(w) wrt w? 16 Let a(r) be the third derivative of -r**8/56 + 13*r**6/30 - r**4/12 - 287*r**3/6 + 11*r**2 + 41*r. Find the second derivative of a(q) wrt q. -120*q**3 + 312*q Let y(a) = -14983*a**3 + 22*a**2 - 6903. Let m(w) = -2998*w**3 + 4*w**2 - 1381. Let s(q) = 11*m(q) - 2*y(q). Differentiate s(z) with respect to z. -9036*z**2 Let v(o) = 291*o - 921. Let z(i) = -58*i - 35*i + 12*i + 8*i + 230. Let y(w) = -2*v(w) - 9*z(w). Find the first derivative of y(h) wrt h. 75 Let y(u) be the second derivative of -73*u**7/3 + 37*u**4/6 - 328*u + 3. What is the third derivative of y(v) wrt v? -61320*v**2 What is the second derivative of -385 + 2*q**3 - 389 + 74*q - 354*q**2 + q**5 + 773 + 0*q**5 - 404*q wrt q? 20*q**3 + 12*q - 708 Let f(i) = 1208*i**2 + 7*i + 36. Let o(g) = 1209*g**2 + 6*g + 33. Let w(r) = -2*f(r) + 3*o(r). What is the second derivative of w(v) wrt v? 2422 Let u(q) be the first derivative of 14*q**5/5 + 31*q**4/2 - 6210*q + 6427. What is the derivative of u(v) wrt v? 56*v**3 + 186*v**2 Let x(w) be the first derivative of -521*w**4/4 + 2*w**3/3 + 5*w**2/2 + 50*w + 1210. Find the second derivative of x(u) wrt u. -3126*u + 4 What is the first derivative of 753 - 28939*d**2 + 57853*d**2 - 12*d + 3*d - 28947*d**2 wrt d? -66*d - 9 Let g(t) = -t**2 + 9*t - 19. Let i be g(4). Suppose -4*r + 2 = m - i, 5*m + r = 72. Find the second derivative of -m*a - 16*a**5 - a**5 + 17*a - 8*a wrt a. -340*a**3 What is the third derivative of -131*o - 104*o + 13*o**2 + 276*o - 51*o**3 + 7*o**4 wrt o? 168*o - 306 Suppose 0 = r - 7*r - 144. Let a = r + 26. Find the third derivative of -2*k**3 + k + 12*k**a + 5*k - 6*k wrt k. -12 Suppose 16*s + 0 + 976 = 0. Let f = s + 64. What is the second derivative of -20*z**f - 2872 + 13*z + 2872 wrt z? -120*z Let h(g) = 60*g**2 - 4*g + 12. Let z be h(3). What is the third derivative of -132*i**2 - z*i**3 + 540*i**3 - 11*i**5 wrt i? -660*i**2 Suppose 5*j - 5*q - 62 = -4*q, -q = -3*j + 38. Let s be 213/j + -2 - 2/(-8). Find the first derivative of -77 + s*f**2 + 99 + 4*f**2 wrt f. 40*f Let w(h) = -21*h - 49. Let n(s) = s. Suppose 4*d = -r - 3*r, -4*d + 1 = 5*r. Let z(t) = r*w(t) + 5*n(t). Differentiate z(b) wrt b. -16 Find the first derivative of 151*s**2 - 468*s**2 + 3291*s**4 + 158*s**2 + 159*s**2 - 2669 wrt s. 13164*s**3 What is the third derivative of -6811 - 13758*y**3 + 6279157*y + 2*y**2 - 6279157*y wrt y? -82548 What is the third derivative of 627*q**2 - 1 + 399*q**2 + 1 + 184*q**4 - 545*q**4 wrt q? -8664*q Let o(t) be the second derivative of -53*t**7/42 - t**6/6 + 257*t**4/12 - t**2 - 60*t. Find the third derivative of o(j) wrt j. -3180*j**2 - 120*j Let v = 280 - 281. Let h(f) = -f**4 + 31*f**3 - 5*f**2 - 24*f. Let t(c) = c**3 + c**2. Let r(m) = v*h(m) - 5*t(m). Find the second derivative of r(a) wrt a. 12*a**2 - 216*a Let z(h) = 2*h**2 + 20*h + 56. Let p be z(-3). Let t(o) be the first derivative of -3 + 1/2*o**2 - p*o. Differentiate t(x) with respect to x. 1 Let s(k) be the second derivative of 1109*k**6/30 + 17*k**4/6 + 7*k**2/2 - 55*k - 24. Find the third derivative of s(g) wrt g. 26616*g Let i = -304 + 307. What is the derivative of -18 + 266*o**3 - 166*o**i + 2 wrt o? 300*o**2 Let f(x) be the second derivative of 5*x**6/2 - x**5/20 + 7*x**4/4 - 4105*x**2/2 + 1495*x + 2. Find the first derivative of f(g) wrt g. 300*g**3 - 3*g**2 + 42*g Find the second derivative of -24*z**4 - 33*z + 22*z**4 - 30 + 297*z**2 + 8 + 3 wrt z. -24*z**2 + 594 Let z(f) be the first derivative of 12898*f**3/3 - 12781*f - 11371. What is the derivative of z(o) wrt o? 25796*o Let i(r) be the third derivative of 0*r**4 - 58*r**2 + 0*r**6 - 1/30*r**7 + 0*r - 9/20*r**5 + 0*r**3 - 2. Find the third derivative of i(j) wrt j. -168*j Let z(j) be the third derivative of 2/3*j**3 + 11*j + j**2 + 0 - 17/15*j**5 - 11/24*j**4. Find the second derivative of z(f) wrt f. -136 Suppose -5*g + 33 = -5*r + 7*r, -2*g - r = -14. What is the third derivative of -81*q**2 - 4*q**5 + 83*q**2 + 4*q**g + 75*q**6 - q**3 + 15 - 6 wrt q? 9000*q**3 - 6 Let a(d) = -20*d**2 - 2204*d - 17377. Let t(w) = -5*w**2 - 551*w - 4345. Let c(b) = 3*a(b) - 11*t(b). Differentiate c(u) wrt u. -10*u - 551 Find the third derivative of 26*i**5 - 14*i**5 + 124*i + 12*i**2 + 51*i**4 - 7*i**2 - 11*i**5 - 42*i**4 wrt i. 60*i**2 + 216*i Suppose 5*z = 4*r - 356, -3*z - 100 = -5*r + 111. Let a = z + 95. Differentiate 18*u - 20*u**2 + a - 18*u wrt u. -40*u Let m(j) = j**2 - j + 1. Let o(f) = -1995*f**2 + 238*f + 5. Let s(l) = -5*m(l) + o(l). Find the second derivative of s(u) wrt u. -4000 Let j = 10269 + -10228. Let u(g) be the second derivative of 0*g**2 + 0*g**4 - 4/3*g**3 + 0 + 13/10*g**5 - j*g. Find the second derivative of u(r) wrt r. 156*r Suppose 102738 = -105*p + 108*p. What is the third derivative of -p*o**3 - 153*o**6 + 34246*o**3 + 25*o**2 - o wrt o? -18360*o**3 Suppose -2*d - 12 = n + 3*n, 4*d - 5*n = -11. Let b be -2*((-329)/21 + d/3). What is the first derivative of 2*c - b + 47*c - 12*c + 4 wrt c? 37 Let y be (-101)/(3 + (-12)/3). What is the third derivative of -y*a**2 - 104*a**3 + 309 + 314 - 622 wrt a? -624 Let g(d) = -805*d**3 - 5*d**2 - 9851*d + 15. Let x(a) = -806*a**3 - 6*a**2 - 9853*a + 20. Let r(t) = 4*g(t) - 3*x(t). Find the second derivative of r(p) wrt p. -4812*p - 4 Let a(r) be the second derivative of 0*r**5 - 1 + 0*r**6 + 11/2*r**2 + 0*r**3 + 1/3*r**4 - 11/42*r**7 + 3*r. Find the third derivative of a(p) wrt p. -660*p**2 Suppose 4*i - 66 = 3*i + 3*s, 2*i - 129 = 3*s. Suppose -5*j = -32 - i. What is the first derivative of 4 + j + 90*o**4 - 62*o**4 wrt o? 112*o**3 Let j(a) = a**3 + a**2 - a. Let p(o) = -853*o**3 - 2*o**2 + 110*o - 2. Let z(u) = -2*j(u) - p(u). Find the second derivative of z(r) wrt r. 5106*r Let h(l) = -1595*l**3 + 10*l**2 + 5*l + 498. Let w(c) = -2*c**3 - 2*c**2 - c - 1. Let i(q) = h(q) + 5*w(q). Differentiate i(z) wrt z. -4815*z**2 Let j(v) = -5966*v**3 + 257*v**2 + 4*v + 25. Let i(o) = -5966*o**3 + 256*o**2 + 5*o + 39. Let b(u) = 2*i(u) - 3*j(u). Find the third derivative of b(k) wrt k. 35796 Let a(w) = -73*w + 44. Let r(h) = -h - 9. Let v be r(-2). Let k(g) = 37*g - 21. Let i(x) = v*k(x) - 3*a(x). Differentiate i(f) with respect to f. -40 Find the second derivative of -254*y - 183*y**4 - 1054*y + 90*y wrt y. -2196*y**2 Let x(p) = p**3 + 9*p**2 + 7*p. Let m be 10*(12/(-15))/1. Let v be x(m). What is the third derivative of 13*o**2 - 15*o**5 + 9*o**5 + v*o**5 wrt o? 120*o**2 Let d(n) = 6*n**4 + 62*n**3 + 24*n**2 - 3298. Let m(a) = a**3 + 4*a**2 + 1. Let i(s) = -d(s) + 6*m(s). What is the derivative of i(h) wrt h? -24*h**3 - 168*h**2 What is the second derivative of -527*j**2 - 428583*j + 426864*j + 2304*j**2 wrt j? 3554 Let i(j) = -67*j**4 + 4*j + 2179. Let z(y) = 2*y**4 - 2*y + 1. Let w(r) = -i(r) - 4*z(r). What is the first derivative of w(s) wrt s? 236*s**3 + 4 Let v be -2 + 17 - (-5 + 5). Suppose v*r - 10 = 10*r. What is the third derivative of -r*w**2 + 3*w**2 - 2*w**2 - 8*w**4 wrt w? -192*w Let m(d) be the third derivative of -223*d**7/14 - 947*d**4/12 - d**3/3 - 3888*d**2. Find the second derivative of m(o) wrt o.
{ "pile_set_name": "DM Mathematics" }
+ 5*j - 5*j - 250*j - 289*j + 501*j. -34*j Expand (3 - 3 + 1)*(-4*g**2 - 3*g**2 - 2*g - 2*g**2 - 2*g**2 + 3*g**2 + 2*g**2 - 2*g + 2*g - 2*g**2 + (-4*g + g**2 + 4*g)*(3 - 2 + 0)) - 5 + 5 + 3*g**2. -4*g**2 - 2*g Expand (-o**3 + 4*o**3 - o**3)*(3*o**2 - 3*o**2 - 3*o**2 + (0 + 3*o + 0)*(-3*o - o + 2*o) - 2*o**2 + 5 - 5). -22*o**5 Expand -3*m**3 + 3*m**4 + 7*m**3 - 4*m**4 + (-2*m + 6*m - 2*m)*(2*m**3 + m**3 - m**3) - 2*m**4 + 3*m**4 + m**4 - 9*m**4 - 8*m**4 + 4*m**4. -8*m**4 + 4*m**3 Expand (1 - 2 + 3)*(-3*z + 8*z + 15*z) + (-1 + 1 + z)*(1 - 3 + 0). 38*z Expand (-3 - 18789*q - 3 + 18779*q)*(3*q + q - 5*q). 10*q**2 + 6*q Expand -5*k + 4*k + 0*k + (-5 + 2 + 1)*(-4*k + 6*k + k) + k - 1 + 1. -6*k Expand (-2 - 3 + 6)*(a - a + a) + (-1 + 3 - 4)*(-33 + 48*a - 35 + 66). -95*a + 4 Expand (2*w - 2*w**3 - 2*w + (76*w - 76*w + 12*w**2)*(-12*w - 4 + 4))*(2*w + 3*w - 4*w). -146*w**4 Expand (9*v + 8*v - 2*v)*(24 - 3 - 12). 135*v Expand (-2*o**2 + 2*o**2 - 3*o**2)*(-3*o - o + 3*o)*(4 - 1 - 1)*(19 - 8 - 16). -30*o**3 Expand ((12*h - h + 0*h)*(-11 + 0 + 2) + 3*h - 5*h + h + (1 - 1 + 1)*(-h + 1 - 1) + 0*h - 3*h + 2*h)*(2 - 2 - 2). 204*h Expand (46 - 46 + 59*w)*(-2*w**2 + w + 1 - w - 2*w). -118*w**3 - 118*w**2 + 59*w Expand (93*c**2 - 750*c + 750*c)*(0*c + c + 3*c). 372*c**3 Expand (-335 + 331 + 337 + 960 + 267)*(-2*h + h + 2*h). 1560*h Expand (-4*c - 3*c + 4*c)*(0*c + 2*c - 4*c + (-3 - 2 + 2)*(-2*c + 4*c + 4*c)) + (0*c + 3*c - 4*c)*(-4 - 2*c + 4). 62*c**2 Expand (-3 + 3 - k**2 + (5*k**2 - 3*k**2 + 0*k**2)*(-99 - 47 + 31))*(-2*k - 2*k + k). 693*k**3 Expand (3 - 5 + 1)*(-5*t + t + 2*t) - 55*t - 1779 + 1779. -53*t Expand (-3 + 3 + 2*n)*(-3*n**3 + 3*n**3 + 4*n**3) + (3 - 5 + 1)*(5 + 3*n**4 - 5)*(-2 - 1 + 5). 2*n**4 Expand (2*d + 3 - 3)*(d**4 - d**4 - 2*d**4) + (0*d**2 - 5*d**2 + 4*d**2)*(-26*d**3 - 10*d**3 - 14*d**3). 46*d**5 Expand (-5*x**3 + x**4 + 7*x - 13*x + x**3)*(1 - 1 + 1)*(7 - 4 + 1). 4*x**4 - 16*x**3 - 24*x Expand (-11*h**5 - 59*h + 59*h)*(-1 - 2 + 0) + h**4 - 3*h**5 - h**4. 30*h**5 Expand (-3 + 2 - 1)*(-34*f + 2*f**4 - 212*f**2 - 33*f + 64*f). -4*f**4 + 424*f**2 + 6*f Expand (-3*h + h + 3*h - 4 + 3*h + 4 + (1 - 1 + 2)*(h - 2 + 2) - h + 2*h - 2*h + h + 2*h + 3*h)*(-h + 0*h + 2*h). 11*h**2 Expand -8*u**5 + u**2 + 6*u**5 + 2*u**2 + (-3*u + 2*u + 0*u)*(4*u**4 - 7 + 7). -6*u**5 + 3*u**2 Expand -4*x + 9*x**2 + 4*x + (0*x**2 + x**2 - 2*x**2)*(-10 + 0 - 1). 20*x**2 Expand (-2 + 3 + 2)*((3*z + 0*z - 4*z)*(2*z**3 - 3*z**3 + 0*z**3) - 5*z**4 + 12*z**4 + 4*z**4 + 3*z**3 - z**4 - 3*z**3). 33*z**4 Expand (15*p - 467 + 467)*(p**2 + p**2 + 2*p**2). 60*p**3 Expand (k**3 - 34 + 34)*(-14*k + 82 + k - 82 - 2*k). -15*k**4 Expand (0*b - b - 9*b)*(8*b - 5*b - 12*b). 90*b**2 Expand 0*q**2 + 3*q**2 - q**2 + (q - q - q)*(0*q + 8*q + 7*q) + 3*q**2 + 0*q**2 - q**2 + q - 2*q**2 - q. -13*q**2 Expand -5*m**4 - 2 + 5*m**4 + 7*m**5 + (4*m**4 + 2*m**4 - 4*m**4)*(1 - 1 - m) + (m**4 - m**3 + m**3)*(-1 + 1 - 2*m) + 11*m**5 - 40*m**5 + 3*m**5. -23*m**5 - 2 Expand (-1 - 4 + 6 + 4 - 2 - 1 + (-2 + 4 - 3)*(0 - 1 + 2) + 0 + 1 + 0)*(135*q + 131*q - 188*q + (3 - 5 + 0)*(-q - q + 3*q) - 2*q - q + q). 148*q Expand -87*x - 40*x + x**3 - 10*x + 0*x**3 + x**3 + 0*x**3 + (3 - 1 + 0)*(-x**3 - x**3 + 4*x**3). 6*x**3 - 137*x Expand 78*s - 78*s - 28*s**5 + (-s**4 - s**4 + 3*s**4)*(-2*s - 2*s + 3*s) + (-2*s**3 + 2*s**3 + s**3)*(0*s**2 + 2*s**2 - s**2). -28*s**5 Expand (-278 + 280 + 82*i - 27*i)*(-2*i**2 - 2*i**2 + 2*i**2). -110*i**3 - 4*i**2 Expand (-2 + 0 - 3)*(3 + 2 - 3)*(3 - 3 + 2*q)*(q + 5*q + q**2 - 3*q). -20*q**3 - 60*q**2 Expand (2 - 1 + 1)*(-2 - d - 2*d + 2*d) - d - 3*d - d. -7*d - 4 Expand (-142 + 184*s + 142 + (2 - 4 + 1)*(-s + 2 - 2))*(0*s**2 + 0*s**2 + s**2). 185*s**3 Expand -f**4 - 7 + 7 + (4 - 4 + 2)*(-166*f**4 + 555*f**3 - 555*f**3). -333*f**4 Expand (8 - 4 + 9)*((-2 - 2 + 2)*(-2*r - 1 + 1) + 3*r - 4*r + 3*r). 78*r Expand (-3 + 3 + 2*l**2)*(-2*l - l**2 + 2*l) - 3*l**4 - 3*l**2 + 3*l**2 + (11 - 11 - 2*l**4)*(0 - 4 + 3). -3*l**4 Expand (5*q + 2*q + 1 - 5*q)*(-3 - 2 + 2)*(-16*q**3 + 37*q**3 + 20*q**3). -246*q**4 - 123*q**3 Expand (2*i**2 + 9 - 2*i + 9 - 20)*(-6 + 0 + 3 + (-2 + 1 - 1)*(-1 + 1 - 2)). 2*i**2 - 2*i - 2 Expand -2*p**4 + 25*p - 1238*p**3 + 1238*p**3 - 2 + (-p**2 + 3*p - 3*p)*(2*p - p**2 - 2*p). -p**4 + 25*p - 2 Expand (-2827 + 2827 + 360*j + 17*j)*(-1 + 7 + 1). 2639*j Expand 3*g**2 - 3*g**2 + 3*g**2 + (3*g - 2*g + 0*g)*(-4*g + 5*g - 3*g) + (4*g - 7*g - 8*g)*(-2 + 2 + g) + 4*g**2 + 3*g**2 - 6*g**2. -9*g**2 Expand (-8*w + 8*w + 9*w**4)*(-4*w + 6*w + 8*w) - 2*w**5 + 3*w**5 - 2*w**5 - 3*w**5 + w**5 - w**5. 86*w**5 Expand 2*h**3 + h**3 - 5*h**3 + (0*h + 2*h + 0*h)*((-1 + 0 - 1)*(-9 + 8 + 11) + 3 - 2 + 5 + 3 - 4 + 2)*(-6*h**2 + 26*h - 26*h). 154*h**3 Expand (-7*w + 8*w + 8*w)*(0*w - 4*w - w) + (3*w + w - 2*w + 1 + w - 1 + (0*w - 3*w + 2*w)*(-2 + 1 + 3) + 0 + 2*w + 0 + 4*w + w - 4*w)*(-3*w + 5*w - 4*w). -53*w**2 Expand -2*f**5 + 2*f**5 + f**5 + (-5*f**2 + 2*f**2 - 2*f**2)*(3*f**3 + f**2 - f**2) + (3 - 1 - 3)*(3*f**5 + 2*f**5 + f**5). -20*f**5 Expand (0*j**2 + 2*j**2 + 0*j**2)*(j**2 - 4*j**2 + 2*j**2) + (-1149*j - 29*j**3 + 1149*j)*(-5*j + 4*j - 2*j). 85*j**4 Expand -1 - 33*n**3 + 1 + (9*n**2 - 5*n**2 + 3*n**2)*(2 - n - 2). -40*n**3 Expand 9*a**5 - a**5 + a**5 + (4*a - 4*a - 2*a)*(-a**4 + 0*a**3 + 0*a**3) - 1 + 1 + 2*a**5. 13*a**5 Expand 5*g - 3*g + 0*g + (2 - 9*g - 2)*(-3 + 1 + 1) - 19 + 19 - 4*g. 7*g Expand -s**5 + 4*s**3 - 4*s**3 - 9*s**5 + 4*s**5 + 2 + 7*s**5 + (2*s**3 - 2*s**3 - 2*s**3)*(3*s**2 - 14*s**2 + s**2). 21*s**5 + 2 Expand (2 - 2 + 2*y)*(-2*y**2 - 6*y**3 - y**2 - 6*y**2). -12*y**4 - 18*y**3 Expand (-12 + 0 - 6)*(2*o + 4*o - 4*o)*(0*o + 0*o + 3*o). -108*o**2 Expand -v**2 + v**2 + v**3 + (v**2 + 3*v**2 - 5*v**2)*(-5*v + 2*v + 0*v) + 46*v**2 + 44*v**3 - 46*v**2 + v**3 - 2*v**3 - v**3. 46*v**3 Expand (3*a**4 - 2*a**5 - 3*a**4 + (2*a**4 + 2*a**4 - 5*a**4)*(-a + 4*a + a))*(1 + 5 - 4). -12*a**5 Expand (-1 - 3 + 3)*(2 + 3 + 0)*(3 + 2 - 1)*(0*m + m - 7*m). 120*m Expand (0*x**4 + 2*x**4 - 4*x**4)*(-228 - 271 + 202) + x**4 + x - x. 595*x**4 Expand -30*s + 9*s - 13*s + (1 - 1 - 1)*(3*s + 0*s - 5*s). -32*s Expand (39 + 352 + 124016*p - 124017*p)*(-2*p**2 + 2*p**2 + 2*p**2). -2*p**3 + 782*p**2 Expand (-3*a**2 + 4*a**2 + 0*a**2)*(-a + 2*a - 2*a) + 19428 - 19428 + 102*a**3. 101*a**3 Expand -2*h**4 - 7*h**3 + 7*h**3 + (2*h - 2 + 2)*(-2*h**3 + 9*h**3 + 5*h**3) + h**3 - h**4 - h**3 + 2*h**4 + 0*h**4 + 0*h**4. 23*h**4 Expand (-1 - 1 + 0)*((1 + 2 - 1)*(-h - 3 + 3) + 9 + 188*h - 9)*(-2 + 1 - 1). 744*h Expand b - 2 + 2 + (-b + 3*b + 0*b)*(3 - 5 + 0) + 22 - 22 + 30*b + 1 - b - 1. 26*b Expand (-18*i + 14*i - 19*i)*(-105 + 105 + 2*i) - 3*i + i**2 + 3*i. -45*i**2 Expand (4 - 4*w + 2 + 3*w)*(w**2 + 3*w - 3*w + (2 + 1 - 1)*(-3 + w**2 + 3) - w**2 + 0*w**2 + 3*w**2). -5*w**3 + 30*w**2 Expand (2*g**2 - g**2 - 3*g**2)*(-7*g**2 + 0*g**2 - 13*g**2)*(7*g - g + 3*g). 360*g**5 Expand 2*o - 2 + 2 + (18 + 18 - 29)*(-2*o - 3 + 3) - 2*o + 2*o - 2*o + 0*o + o - 3*o + (-3 + 1 + 1)*(2*o + 2*o - 2*o) + 4*o - 3*o + 0*o. -17*o Expand (-5 + 1 + 3)*(4 - 4 + 3)*(131*h + 1 - 130*h - 3). -3*h + 6 Expand (-28 + k**2 + 4*k + 28)*(3 - 2 + 0 + (3 - 6 + 1)*(-1 - 1 + 1) - 4 + 3 + 3). 5*k**2 + 20*k Expand (2 + 1 + 0)*(21*l**2 - 9 - 21*l**2 - l**5). -3*l**5 - 27 Expand -3*u**2 + u**2 + 0*u**2 + (0*u - 3*u + 5*u)*(-67*u - 42*u + 89*u). -42*u**2 Expand (-2 + 3 + 0)*(l - 2*l - l) + 0*l - 2*l + l - 97*l + 39*l + 31*l. -30*l Expand (2 + 4 - 5)*(3 - 5 + 0)*(-4*m + m + m)*(-7 - 140 - 8). -620*m Expand (-d + 3*d + 0*d)*(1 - 1 - 2*d) - 386*d**2 + 62160 - 62160. -390*d**2 Expand (-8*n**2 + 9*n**2 + 12*n**2)*(-2 + 0 + 4) - 2*n**2 + 0*n**2 + 3*n**2 + (4*n - 4*n - 2*n)*(n + 3*n - 2*n) + 0 - n**2 + 0. 22*n**2 Expand 0*x - x + 3*x + 2*x + 3*x - 4*x - x - x + x + (5 + 0 - 3)*(-x + 2*x + x) + 44*x - 1 + 5*x + 31*x. 86*x - 1 Expand -25729*z**3 - 68*z**5 - 2 + 25729*z**3 + (2*z**4 + 1 - 1)*(-2 + 2 + z) + 0 + 0 + 2*z**5 + z**5 - z**5 + z**5. -63*z**5 - 2 Expand (27*q - 27*q + 7*q**3)*(-6 + 6 - 3*q) + q**4 + q**4 + 7*q**4. -12*q**4 Expand (-23*p - 25*p + 38*p)*(-1 + 3 - 4)*(4 - 4 - 2)*(-2 + 4*p + 2). -160*p**2 Expand (134 - 58 + 77)*(-3*g - g**4 + 3*g) + 0*g**4 - g**4 + 2*g**4. -152*g**4 Expand (-3*j**2 + j**2 + j**2)*(-4 + 2 + 1)*(3 - 3 - 5*j)*(2*j**2 + 2*j**2
{ "pile_set_name": "DM Mathematics" }
qrt(468) - (-1 + sqrt(468) + -1))**2 + -3 + (2 + -1 + sqrt(468) + 0 + (sqrt(468) + 1)*-4)**2. 114*sqrt(13) + 4222 Simplify 4 + 3 + ((sqrt(304) + 1*sqrt(304)*-1 + sqrt(304))*5*2)**2*-2. -60793 Simplify 1*(1 + ((sqrt(3240) - -2*sqrt(3240))*-2)/(sqrt(20)/(sqrt(4)*-1)*-6)). -18*sqrt(2) + 1 Simplify (2*sqrt(19) + -4 + 4)**2 - sqrt(931)*1*5 - ((3 + sqrt(76)*2)**2 - (1*sqrt(171)*-2)**2). -59*sqrt(19) + 447 Simplify (sqrt(182)/((sqrt(847)*-3 - sqrt(847)) + sqrt(847)))/(sqrt(384)/sqrt(12)*4) + 5. -sqrt(13)/528 + 5 Simplify (-3*sqrt(28)*1 + sqrt(28) + sqrt(28) + sqrt(28) + sqrt(308)/(sqrt(11) + sqrt(22)/sqrt(2)))/(sqrt(48)/(sqrt(72)/sqrt(6)*-1)) + -3. -3 - sqrt(7)/2 Simplify (3*((-2*sqrt(240))/sqrt(8) + (-1*sqrt(270))/sqrt(9)))/(sqrt(100)/(-4*sqrt(30)/sqrt(3))*-1). -36*sqrt(3) Simplify 2 + (((sqrt(119) + sqrt(119)*-1)/sqrt(7) - ((4 + sqrt(425))**2 - sqrt(17))) + 4 - ((sqrt(272) + sqrt(272) + -2*sqrt(272)*-1 - sqrt(272))**2 + 5)). -2888 - 39*sqrt(17) Simplify -3 + (-2*sqrt(612))**2 + 4 + -4*sqrt(17) + (1*(5 + (sqrt(2448) - (sqrt(2448)*2 - sqrt(2448)))*-2 + sqrt(2448)))**2. 116*sqrt(17) + 4922 Simplify ((sqrt(20) - (sqrt(80) - -1*sqrt(80) - sqrt(80)))/((sqrt(12)*-3)/sqrt(3)) + -1 + 2)**2 + 3. 2*sqrt(5)/3 + 41/9 Simplify (((sqrt(288)*-2)/sqrt(6))/(-2*sqrt(432)))/(sqrt(8) - 4*sqrt(8)*1 - sqrt(24)/sqrt(3)*1). -sqrt(2)/48 Simplify (sqrt(833) - (sqrt(833) + (1*(-1*sqrt(833) - sqrt(833)))**2))*2 + ((-1*sqrt(17) + -2 - sqrt(17)) + -5)*2. -6678 - 4*sqrt(17) Simplify (-3*sqrt(95)*-2 + sqrt(95) + (-1*sqrt(95) - sqrt(95))*6)/((sqrt(5) - sqrt(5)*-1)*-5*-1*-5). sqrt(19)/10 Simplify 2 + (sqrt(76)*-3*-1)/sqrt(4) + sqrt(304) + (sqrt(304) + 1)*5 + 5. 12 + 27*sqrt(19) Simplify (4*2*(-1*(sqrt(125) + 1)*-5 - (-4*(sqrt(125) + 1) + -5))*4)**2. 1290240*sqrt(5) + 10568704 Simplify ((-2*sqrt(1200) - sqrt(1200) - sqrt(1200)) + -2*sqrt(588))/((sqrt(270)/(sqrt(20)/sqrt(4)))/((sqrt(81)*-1)/sqrt(9))). 54*sqrt(2) Simplify (6*(sqrt(209)*2 + sqrt(209) - sqrt(209)))/(sqrt(396)*2) - (sqrt(171) + 1 - (sqrt(19) + sqrt(19) + (-2*sqrt(1900))**2 - sqrt(19)))*-3. -22797 + 7*sqrt(19) Simplify 0 + (2*(4 + 0 + (sqrt(117) + -2 - sqrt(117))) - 2*((1 + sqrt(117))*-5*1)**2). -5896 - 300*sqrt(13) Simplify -3 + 0 + (sqrt(18)*-5 + sqrt(18) - sqrt(18))/sqrt(6) + sqrt(3) - ((-1 + sqrt(363) - sqrt(3)) + sqrt(3) - (2*sqrt(3)*5 - sqrt(3))). -6*sqrt(3) - 2 Simplify ((2*sqrt(7623) + sqrt(7623))/sqrt(192))/(sqrt(42)/((sqrt(192)/sqrt(4))/sqrt(8))*-3). -11*sqrt(3)/8 Simplify (((sqrt(5) - sqrt(20)/sqrt(4)) + sqrt(5) - sqrt(5)) + 5 + 5)*-3 + 2*1*sqrt(125)*-4 + -4 + 2. -40*sqrt(5) - 32 Simplify (2 + sqrt(1088) + 1)**2 + -2 - (sqrt(119) + (1*sqrt(119)*-5 - sqrt(119)))/(sqrt(63)*4). 581*sqrt(17)/12 + 1095 Simplify 5*(sqrt(275) + 2 + 2*sqrt(275) - (sqrt(275) + sqrt(275) + -1)*6)**2*-4*1. -446780 + 14400*sqrt(11) Simplify (-3*-2*sqrt(130) + sqrt(130) - -3*(sqrt(130)*3 - sqrt(130) - sqrt(130)))/((sqrt(810) + sqrt(810)*1*4)*5). 2*sqrt(13)/45 Simplify (1 + sqrt(1568)*-3 - (sqrt(1568) + -4 + 4)**2) + -1 + -3. -1571 - 84*sqrt(2) Simplify (-3*sqrt(160) - (sqrt(10) - (sqrt(100) - (sqrt(100) - (sqrt(100) + -3*sqrt(100))))/sqrt(10)))/(-1*sqrt(5)*2 + sqrt(125)*3). -15*sqrt(2)/13 Simplify 5*((-2*(sqrt(189)*-1*4)/sqrt(3))**2*-1 + 1)*-2. 40310 Simplify (0 + sqrt(11)*1)*6 + sqrt(44)*-5 + 2*sqrt(275) - ((-2*sqrt(99)*-2 - ((-1 + sqrt(99) - sqrt(99) - sqrt(99)) + 4))*2)**2. -9936 + 366*sqrt(11) Simplify ((-4*sqrt(190)*2)/((sqrt(60)*-2)/sqrt(6)) - ((1 + sqrt(684) + sqrt(684))*1 - (-1 + sqrt(684) + -1)))**2. 12*sqrt(19) + 85 Simplify (2 + (-3 + sqrt(1900) + 0 - (sqrt(1900) + 6*((sqrt(1900) - (sqrt(1900) + 5)) + sqrt(1900))))*-4)**2. -50880*sqrt(19) + 1105636 Simplify ((sqrt(272)*-3*-1 + -4)*-6)**2 + ((sqrt(272) + sqrt(272)*-1)*-6 - sqrt(272)) + (sqrt(272) - (sqrt(272) - (sqrt(272) + 1))*-4)**2. -3492*sqrt(17) + 88992 Simplify ((-3*(-1*sqrt(198)*-5 + sqrt(198)))/(((-2*sqrt(16))/sqrt(8) + sqrt(2) - (sqrt(20)/sqrt(2))/sqrt(5))*-3))**2. 891 Simplify 3 + (2*sqrt(539) + 4 - sqrt(539))**2 + (sqrt(539) + -1)**2 + 4 + -1. 42*sqrt(11) + 1101 Simplify -1*((6*3*sqrt(100) - sqrt(100))/sqrt(10))/(sqrt(30)/sqrt(6)*4*4). -17*sqrt(2)/16 Simplify (((sqrt(84) - (-1*sqrt(84)*1 - sqrt(84)))/(-1*(sqrt(12) + (sqrt(108)/sqrt(9) - sqrt(12)))))**2*-1 + 4)*-1. 59 Simplify (2*-2*sqrt(187)*5*4)/((-2*sqrt(77)*6)/(sqrt(7)*-2*6)). -80*sqrt(17) Simplify (4*sqrt(119)*4 - ((sqrt(119) + -3*sqrt(119)*-5 - sqrt(119)) + sqrt(119)))/(1*(-3*sqrt(252) - sqrt(7))*-6). 0 Simplify (6*(sqrt(1404) + sqrt(1404) + 4*sqrt(1404)))/(sqrt(18)/(3*sqrt(600) - sqrt(6)))*5. 31320*sqrt(13) Simplify -6*(6*(-3 + sqrt(75)))**2 + (sqrt(528) - -1*sqrt(528))/(sqrt(11) + sqrt(11)*-2*-5 + sqrt(11)). -18144 + 19442*sqrt(3)/3 Simplify (-4*-1*4*(sqrt(300) + 1) + -3*sqrt(300) + sqrt(300) + 1 + (sqrt(300) - (-2*sqrt(300) + 4)))**2. 4420*sqrt(3) + 86869 Simplify (1*-5*(-1 + sqrt(80)*2*-4)*-6)**2. 57600*sqrt(5) + 4608900 Simplify 4 + 4*(-2 + 3 + ((-6*(sqrt(304) + -2*sqrt(304) - sqrt(304)))**2 + (sqrt(304) - ((-1*sqrt(304)*-1)**2 + sqrt(304))) + sqrt(304))*-2). -347768 - 32*sqrt(19) Simplify ((-1*sqrt(234))/sqrt(9) - sqrt(104)*1)/((sqrt(4) - sqrt(128)/sqrt(8))/(sqrt(72)/sqrt(4))). 9*sqrt(13) Simplify (4*(1 + sqrt(76)) - (-1 + -3*sqrt(76)) - -4*(-5 + sqrt(76) + 1 + 4))**2. 220*sqrt(19) + 9221 Simplify (-4 + 0 + sqrt(833) - (sqrt(833) + 0 + 3)**2 - -4*-4*(1 + sqrt(833) + sqrt(833)))*-3*-2. -1554*sqrt(17) - 5172 Simplify ((-5*(2 + sqrt(275) + sqrt(275)))**2 + 5 - ((-2*sqrt(275) + 2 + sqrt(275))**2 + (sqrt(275) - (sqrt(275)*2 + sqrt(275)))*5)) + -4 + -2. 1070*sqrt(11) + 27320 Simplify 1*(-3 + (0 + 3*(0 + (0 + sqrt(325)*1 - sqrt(325))))**2). -3 Simplify (-3*-5*(sqrt(12) + 4*2*sqrt(12) - (sqrt(96)/sqrt(2))/sqrt(4))/(-6*sqrt(24)/(sqrt(54) - sqrt(6))))**2. 4800 Simplify -5*(((sqrt(114) - (sqrt(114) - 6*(sqrt(114)*3 + sqrt(114) - sqrt(114) - sqrt(114))))*-4)/(6*(sqrt(384) - -3*sqrt(384) - sqrt(384))))**2*-5. 475/9 Simplify (0 + 1 + sqrt(5) + 2 + 4 + 5*(sqrt(40)/sqrt(2))/sqrt(4))**2. 84*sqrt(5) + 229 Simplify (-3*-4*-1*sqrt(2268))/(1*(5*5*sqrt(44))/sqrt(11)). -108*sqrt(7)/25 Simplify ((sqrt(39) + 1*sqrt(39))*5 - (sqrt(39) + sqrt(1404))*-1)/(-3*(sqrt(363)*-2 + sqrt(363) - sqrt(363))*-4)*-2. 17*sqrt(13)/132 Simplify (-6*((-4 + -5*sqrt(396)*-4)*6 + 5))**2. -984960*sqrt(11) + 205299396 Simplify -4*5*((5 + (sqrt(363) - sqrt(363)*-2 - sqrt(363)) - (sqrt(363) + -3 + 0))*1)**2. -8540 - 3520*sqrt(3) Simplify (3 + ((sqrt(343) + 0 + -3 - (sqrt(343) + -1)*-5)*5 - (5 + (sqrt(343) - (-4 + (sqrt(343) + sqrt(343)*2 - sqrt(343)))) + -5)))**2. -17794*sqrt(7) + 331304 Simplify (-2*3*2*sqrt(5445))/(sqrt(900)*1*-6 + (sqrt(900) - sqrt(900)*-2)*6). -11*sqrt(5)/10 Simplify ((2 + sqrt(117) + -2 + sqrt(117))*6 - (-2 + (sqrt(117) + 3 - sqrt(117)))*6) + 0. -6 + 36*sqrt(13) Simplify ((2*sqrt(315) - sqrt(315))/sqrt(9) - sqrt(1260)*2)/(sqrt(336)/sqrt(432)). -33*sqrt(5) Simplify -5 + 3 + 6*(5 + (-4*(sqrt(162) + sqrt(162) + 0) - (-2*(1*sqrt(162) + sqrt(162)))**2)). -15524 - 432*sqrt(2) Simplify (3 + (sqrt(162) + -1 + sqrt(162) + sqrt(162))*-4 + sqrt(162))**2 - (5 + sqrt(162) + 0 + -3*sqrt(162)*2)**2. -936*sqrt(2) + 15576 Simplify ((4*sqrt(280)*-2)/(sqrt(16)/sqrt(2)*-1))/((sqrt(720) + sqrt(720)*-2)/(sqrt(144)*-2)). 16*sqrt(7) Simplify (-3 + (sqrt(320) - 2*sqrt(320))/(-3*sqrt(36)) + 5)**2. 16*sqrt(5)/9 + 404/81 Simplify 2*((-5 + (-1*sqrt(75)*-6 - sqrt(75)))**2 + (-5*sqrt(75)*2 + -2)**2). -100*sqrt(3) + 18808 Simplify ((sqrt(588) + -2 + sqrt(588)*-5 + sqrt(588) - sqrt(192)/(sqrt(4)*-3)*4)*-2)**2. 1760*sqrt(3)/3 + 48448/3 Simplify (4 + 1*(-2*sqrt(175) + sqrt(175) + sqrt(175)) + (sqrt(7) + -3*(sqrt(7) + -2 + sqrt(7)))*4 + -4)**2. -960*sqrt(7) + 3376 Simplify (-1 + 6*(-4 + (sqrt(2448)*-1 + sqrt(2448) - sqrt(2448)) + 2 + sqrt(2448) + -2)*-4)**2. 9025 Simplify (sqrt(175)*4*-5 + sqrt(175) + -3 + (sqrt(175) - (sqrt(175) + 4)) - (sqrt(175) - (-1 + 0 + sqrt(175)) - (-2 + 1*sqrt(175)))*3)**2. 2560*sqrt(7) + 45056 Simplify -3 + 6*(0 + ((sqrt(44)/sqrt(2))/sqrt(2) - ((sqrt(88)*2)/sqrt(8))**2) + ((sqrt(55) + sqrt(165)/sqrt(3))/sqrt(5) - ((sqrt(44))**2*-1 + sqrt(11)))). -3 + 12*sqrt(11) Simplify (sqrt(567) + (sqrt(567) + -2 + sqrt(567) + sqrt(567) + -4 - sqrt(567)))*4 + (-6*sqrt(168))/(sqrt(30)/(sqrt(20)/sqrt(4))). -24 + 96*sqrt(7) Simplify (((1*sqrt(204)*-1)/(sqrt(12
{ "pile_set_name": "DM Mathematics" }
ing order. k, 5, -4, -10 Let m be (-4)/(32/24) + 6. Sort -4, m, 1, -1. -4, -1, 1, m Suppose -4*g - 30 = 2*i - 0*i, g + 5 = 0. Suppose -19 = z + 4*c, -2 = 2*c + 6. Let j = 15 + -12. Sort z, j, i in decreasing order. j, z, i Let b = -1 - -3. Let f(r) = r**2 + 7*r - 6. Let i be f(-6). Let o be 2/i*3*(4 - -2). Sort b, o, 4 in decreasing order. 4, b, o Let x be -3 - -3*(-8)/(-6). Let q = -1 + x. Let p(o) = 2*o**2 - 16*o - 22. Let i be p(9). Put q, -1, i in increasing order. i, -1, q Let g = 312 - 316. Put g, -26, -2 in descending order. -2, g, -26 Suppose 0 = 5*a + o + 125, -6*o + 2*o = 4*a + 84. Let v = -26 - a. Sort v, -3, 2 in decreasing order. 2, v, -3 Let w = -75.165 + 0.165. Let u = -75 - w. Sort 3, 2/3, -1, u in decreasing order. 3, 2/3, u, -1 Suppose 2*n = 3*i - 17, 6*i + 5 = 7*i. Put 4, -3, 1, n in decreasing order. 4, 1, n, -3 Let h(j) = 48*j + 410. Let k be h(-10). Sort -8, -3/7, 4, k in decreasing order. 4, -3/7, -8, k Let o be (4/2)/(-4)*-8. Suppose 0*y + o*y = 0. Put -2, y, 1 in descending order. 1, y, -2 Let j(o) = o**2 + 15*o - 2. Let p be j(-15). Let s be 6/2*p*3/6. Sort 2, 38, s. s, 2, 38 Let w(y) = -y + 3. Suppose -u + 4*u + 4*v - 14 = 0, 3*v + 2 = 4*u. Suppose 0 = u*g - 0*g. Let d be w(g). Sort -4, d, -3 in increasing order. -4, -3, d Let k(l) = -61 + 32 - 4*l + 32. Let v be k(0). Sort v, -3, -1.5 in increasing order. -3, -1.5, v Let i = 0.0301 - 5.0301. Put i, 2/25, 1 in descending order. 1, 2/25, i Suppose -3 = -2*c - 5. Suppose 4*b - 5 = -1. Let k = 3 + b. Put c, k, 5 in decreasing order. 5, k, c Let q(o) = o**3 - 5*o**2 - 6*o - 2. Let f be q(6). Suppose -39 = 6*h + 9. Let n be 1/2*-3*(h + 6). Put n, f, 0 in decreasing order. n, 0, f Let c = 860 + -860.44. Put -4, c, 0 in decreasing order. 0, c, -4 Suppose 4*r + 6*o - 8 = 2*o, 4*r - 3*o = -13. Sort -4, 41, r in descending order. 41, r, -4 Let k = -753 + 753.3. Let m = -6.9 + 7. Put -4, m, k, 2 in descending order. 2, k, m, -4 Let g = -643/21 + 91/3. Put 0.13, -2, 0.5, g in descending order. 0.5, 0.13, g, -2 Let u = -8 - -14. Let i = u - 10. Let c = i + -1. Put c, -3, -1 in ascending order. c, -3, -1 Let t be (4/4)/(2/8). Suppose -t*n - 28 = -6*d + d, -4*n - 28 = -2*d. Let f = n + 12. Put f, 2, -2 in ascending order. -2, 2, f Let u(k) be the third derivative of 1/120*k**6 + 0*k + 1/2*k**3 - 7*k**2 + 0 + 0*k**4 - 1/60*k**5. Let y be u(0). Sort 2, 7, y in descending order. 7, y, 2 Suppose -4*f - 12 = 0, 7*d - 5*f - 23 = 3*d. Let t = 25 + -22. Sort t, d, 0, -1. -1, 0, d, t Suppose -5*q = -20 + 15. Put q, 1/15, -4/3 in decreasing order. q, 1/15, -4/3 Suppose -9*v - 4*k + 17 = -10*v, 2*v = -3*k - 12. Sort v, -1, 12. v, -1, 12 Let b = -5 - -2. Suppose 4*c = -3*i + 51, -180*c = -4*i - 176*c - 16. Put i, b, -0.5, 9 in decreasing order. 9, i, -0.5, b Let o = 1546 - 1546. Sort o, 0.57, -1, 0.5 in descending order. 0.57, 0.5, o, -1 Suppose -7*o = -4*o + u - 2, -3*u = -3*o - 6. Suppose o*q - 4*q = -2*q. Put 2, -9, q in increasing order. -9, q, 2 Let a = 1.103 + -0.603. Put 3/2, -2/45, a in descending order. 3/2, a, -2/45 Let v be (-3)/(-2*3/8). Suppose -2*f = 5*c - f + 30, f = -4*c - 24. Put v, -4, c, -5 in decreasing order. v, -4, -5, c Let u be 69/(-12) - (-2)/(-8). Let g(h) = -h**2 + 41*h - 292. Let s be g(9). Sort u, 4, s in descending order. 4, s, u Let m be (-9)/(-21) + 36/14. Let b be (m + 52/(-12))*-6. Let q be b/6 + 2/3. Sort -5, q, -3 in descending order. q, -3, -5 Let t = 109 + -653/6. Put -3, 2/5, t, 4 in ascending order. -3, t, 2/5, 4 Suppose 0 = 3*d + 4*a + 53, 0 = -2*d + 5*a - a - 62. Sort d, 3, 5, 2 in ascending order. d, 2, 3, 5 Suppose y = 3*m + 5*y - 11, -y = 4*m + 7. Let h(a) = 2*a**2. Let q be h(-1). Let n = q - 7. Sort 2, n, m in descending order. 2, m, n Let r = 1571 - 1500. Put -2/11, 2, r in ascending order. -2/11, 2, r Let r be (-3 + (-11)/(-132)*4)/(4/(-6)). Suppose -12 = 3*d - 0*d. Suppose -3*w - 21 = 2*p + 2*w, 0 = -p - 3*w - 12. Sort p, r, d in decreasing order. r, p, d Suppose -3*b + 38 + 25 = 0. Let w = b + 7. Let j be (-108)/w - (-2 - 2). Put -2, -9, j in descending order. j, -2, -9 Let d(w) = w**2 - 25*w + 154. Let r be d(15). Let k(u) = -2*u**2 - 5*u - 2. Let m be k(-3). Sort r, 2, m, 9. m, 2, r, 9 Suppose -4*d + 8*m = 12*m - 4, d + 4*m + 2 = 0. Put 8, -4, d in decreasing order. 8, d, -4 Let z be (-21)/(-35) - (-174)/10. Suppose 8 = 17*o - z*o. Let g be ((-2)/o)/(-1*1). Put 2, -3, g in decreasing order. 2, g, -3 Suppose -14*c - 3*u - 6 = -17*c, 5*u - 30 = -3*c. Put -4, c, 4/7, -2 in ascending order. -4, -2, 4/7, c Let p = 1.91 - 1.81. Let t = -0.06 + 0.11. Let s = t + 0.35. Sort s, -10, p in descending order. s, p, -10 Let b = -103 + 513/5. Let y(a) = a**2 - 12*a - 62. Let p be y(16). Sort b, p, -1 in decreasing order. p, b, -1 Let z = 6658/15 + -444. Sort z, -1, 1/8, -3 in decreasing order. 1/8, z, -1, -3 Let o(f) = f**2 - 7*f + 2. Let s be o(5). Let i be (6/(-4))/(10/20). Let u be -6*(-2)/(-3) - i. Sort -5, u, s in ascending order. s, -5, u Suppose -2*a - 3*a = 2*s - 11, -s + 3*a - 22 = 0. Put -3, s, 5 in decreasing order. 5, -3, s Suppose -4*s = -2*s. Suppose h + 4 = 2*w + 12, 3*h = -5*w + 35. Suppose -h*x + 5*x + 20 = s. Put 0.2, x, 1/8 in descending order. x, 0.2, 1/8 Let q = -91 + 106. Sort q, 1, 5, -3 in descending order. q, 5, 1, -3 Let d(u) = -u**3 + 19*u**2 - 17*u - 16. Let n be d(18). Suppose 5*t + 3*m - 26 = m, n*t = m + 5. Put -4, 3, t in ascending order. -4, 3, t Let i = -0.021 + -20.079. Let d = i - -20. Let z be ((-2)/10)/((-1)/(-1)). Put -0.3, z, d in descending order. d, z, -0.3 Suppose -2*w - 3*q + 10 = 0, 5*q - 9 - 13 = 2*w. Sort 2, w, 9, 3. w, 2, 3, 9 Let t(l) = -5*l + 100. Let y be t(26). Put -2, 0, y in increasing order. y, -2, 0 Let t(h) = 128*h + 644. Let n be t(-5). Suppose 0 = 5*c - 87 - 23. Put n, -4, c in decreasing order. c, n, -4 Let a(r) = -2*r - 3. Let l be a(-4). Suppose b - 3*o = -l*o - 2, 0 = 3*b - 4*o - 14. Let q = -104 - -101. Put b, 1, q in descending order. b, 1, q Let k(o) = o - 1. Let d be k(3). Let n(c) = 2*c**2 - 16*c - 21. Let l = 5 + 4. Let m be n(l). Sort m, 3, d in decreasing order. 3, d, m Let g be 1 + 6/(-4)*(-2)/3. Suppose -4 = -5*a - n, a - 1 = 2*n + g. Sort -6, 4, a in ascending order. -6, a, 4 Suppose 0*v = -2*v - 6. Let b = 37 - 35. Suppose -2 = -b*y, -5*y + 4 = w + 1. Put v, w, -4 in descending order. w, v, -4 Let j(c) = c**3 - 4*c**2 - 10*c - 9. Let q be j(5). Put 4, q, -4 in decreasing order. 4, -4, q Let g = 8 + -8.44. Let b = g - -0.65. Let p = b + 0.29. Sort 0.1, -2, p in descending order. p, 0.1, -2 Let i(q) = -2*q**3 - 7*q**2 + 31*q - 12. Let b be i(5). Put 0, b, 5 in decreasing order. 5, 0, b Let x(f) = -2*f - 9. Let r be x(-6). Let o = 39 + -36. Suppose 0 = -3*c - 3*i - 9, c + 1 = -o*i. Sort r, c, 5. c, r, 5 Let n = -29 + 29.2. Let z = 8 - 3. Let k = -8 + z. Sort -4, k, n in decreasing order. n, k, -4 Let a = -1 - 13. Let i = -13 - a. Put i, -5, -2, 3 in increasing order. -5, -2, i, 3 Let h be (0 + 1)/(1 + (-5)/10). Suppose -3 - h = s. Put s, 0, -1 in increasing order. s, -1, 0 Suppose -513*a = -530*a + 102. Sort 2, 4, -2, a in ascending order. -2, 2, 4, a Suppose -5*d = -4*d + 2*o + 3, o = 5*d - 29. Let z be 0/(d - 1) + 1. Let h be (-10)/6 - z/3. Put h, -5, 0 in ascending order. -5, h, 0 Let h = 944 - 939. Let o = -11 - -1. Sort 2, h, o, 4. o, 2, 4, h Let l = -9 + 12. Suppose -5*b + l*r = 25, -4*r = -3*b + b - 10. Let g = -6 - b. Put 1, 3, g in decreasing order. 3, 1, g Let g(b) = b**2 - 3*b + 3. Let q be g(3). Suppose 22 = -6*i + 22. Let m = q - i. Put 4, m, -1 in ascending order. -1, m, 4 Let w be -1 - -2 - 1*7. Let t = 127/2 + -633/10. Sort -1, t, 1, w in ascending order. w, -1, t, 1 Let y be -3 + 10/4 - (-15)/(-2). Let l = 95 + -99. Sort -1, -2, y, l in decreasing order. -1, -2, l, y Let w = -0.09761 + 0.06761. Let y = 1.5 - 1. Put w, 0.2, y in descending order. y, 0.2, w Let h(p) = p**3 + 6*p**2 - 19*p - 22. Let k be h(-8). Sort -4, k, -15, 3. -15, -4, k, 3 Suppose -h - 4*h + 3 = 3*k, 2*h + 36 = 5*k. Let t = k + -6. Suppose t = d + 4*l + 20, 5 = d - 0*l - l. Sort 1, -5, d. -5, d, 1 Suppose 70 = -9*r + 115. Sort -5, r, -4, -7. -7, -5, -4, r Let m(l) = l - 1. Let z be m(3). Let u be 2/(-1*2) - -2. Let d(w) = w**3 - w**2 - 2*w - 1. Let r be d(2). Put r, u, z in decreasing order. z,
{ "pile_set_name": "DM Mathematics" }
p*d**2 + u + s*d and give s. -4 Express 65*s + 1682*s - 3 + 612*s + 5 in the form v*s + y and give y. 2 Express -194*r**2 + 4*r**4 - 11 + 325*r - 3*r**4 - 114*r**2 - 325*r as i*r**2 + g*r**3 + h + p*r**4 + x*r and give i. -308 Rearrange (h + 6*h - 4*h)*(0 + 0 + 2)*(-h + h**2 + h)*(673 - 390 - 1998) to a*h + p*h**2 + j + i*h**3 and give a. 0 Express -2891*b + 79*b - 3158*b in the form z*b + v and give z. -5970 Rearrange -5 + 230*o - 64*o - 151*o - 6 to p + u*o and give u. 15 Express 2 - 17926*c**2 + 17935*c**2 + 2*c**3 + 4*c + 12*c**4 - 3*c as n*c**4 + f*c**2 + k*c**3 + u + p*c and give p. 1 Express (2*d - 4*d + 0*d)*(9 + 46 - 253)*(-2*d - d + 8*d)*(2*d + 0*d + 0*d) in the form s*d + j*d**2 + x + c*d**3 and give s. 0 Express 1140*b + 1062*b - 51*b**2 - 2231*b - 2 in the form g*b + i*b**2 + j and give j. -2 Express (-23*l**2 - 34*l**2 + 71*l**2)*(-129 - 21 + 25) - 2 + 1 + l**2 + 0*l**2 in the form w*l**2 + p*l + h and give h. -1 Rearrange 19*b**2 - 27*b**2 - 28*b**2 + 2*b**2 + b**2 - 2*b**2 + (4*b - 2*b - 3*b)*(12 - 8*b - 12) - 15 + 15 + 3*b**2 to the form g + l*b + y*b**2 and give y. -24 Rearrange 486*i**2 - 74 - 484*i**2 - 23*i + 2*i**4 - 10*i + 49*i + 3*i**3 to c*i**3 + v + p*i**4 + t*i**2 + j*i and give p. 2 Express -10*c**3 - 311*c**2 + c - 332*c**2 - 336*c**2 + 980*c**2 + 1 in the form a*c**3 + b*c + i*c**2 + o and give i. 1 Rearrange -146*q + 296*q + 121 - 151*q - 260*q**3 - 119 to the form h*q + w*q**3 + a*q**2 + u and give w. -260 Express (2*j - 5*j + 2*j)*(19*j + 34*j - 24*j) + (-j + 2 - 2)*(0 + j + 0) - 7*j**2 + 3*j**2 - 5*j**2 in the form x*j + t + v*j**2 and give v. -39 Express 13*g**2 + 5958*g**3 - 5972*g**3 - 7*g + 10*g in the form x + q*g**3 + h*g + v*g**2 and give v. 13 Express -254*s + 1408 - 247*s + 747*s - 248*s as r + m*s and give r. 1408 Rearrange 12623*n - 18648*n + 14985*n to the form a + s*n and give s. 8960 Rearrange 129*o + 2*o**3 + 153*o - 8*o**3 + 2*o**4 - 3*o**2 + o**2 - 186*o to m*o**2 + f*o**3 + h + j*o + p*o**4 and give p. 2 Rearrange 400 + 89 - 20*m - 65 - 7*m + 12*m to d + i*m and give i. -15 Express 0*w - 2*w + w + (47*w + 139*w + 25*w)*(1 - 4 + 1) + 20*w + 696 - 696 in the form a + x*w and give x. -403 Rearrange -32*g**4 + 13*g**2 - 45*g**3 + 34*g**4 + 9*g**2 - 23*g**2 + 9*g**2 - 5 to the form a*g**4 + o + u*g**2 + d*g**3 + p*g and give o. -5 Rearrange (2052 + 4882 + 379)*(4 + 0 - 7)*(0*g + g + g - 1 + g + 1 + (-2*g - 3*g + 6*g)*(-5 + 3 + 4) + g + 5 - 5 - 4*g + 3*g + 2*g) to t + f*g and give f. -153573 Express -363*s - 141 + 174*s + 38 + 185*s as v + m*s and give m. -4 Rearrange -1 + 4*u + u - 105*u**2 + u + 22390*u**4 - 22389*u**4 to the form m + w*u + p*u**3 + o*u**2 + c*u**4 and give w. 6 Express (-3 + 0 + 0)*(-1 + 2 + 1)*(-2*j + 6*j - 5*j + (175 + 240 + 130)*(3*j - 2*j + 0*j)) as t + y*j and give y. -3264 Express 55533*f**2 - 309*f**4 - 55533*f**2 - 5*f**3 + (3*f**3 + 5*f**3 - 4*f**3)*(3*f + 3*f - 4*f) as s + z*f**4 + h*f + t*f**2 + i*f**3 and give z. -301 Rearrange -70 + 27 - 113*x**3 - 2*x**2 + 47 + 2*x + (x**2 - 3*x**2 + 3*x**2)*(-4*x + 4*x - 6*x) to c*x**3 + m*x**2 + k + t*x and give k. 4 Rearrange (334*p**2 + 234*p**2 + 1086*p**2)*(4 - 2 - 4) to the form g + u*p + m*p**2 and give m. -3308 Rearrange 426*i - 722*i + 456*i to w*i + j and give w. 160 Rearrange 1310 - 430 - 440 + 16082*j**2 - 440 to the form d + t*j + o*j**2 and give o. 16082 Rearrange 111*j - 4*j**4 - 26*j - 32*j - 23*j - 31*j + 2*j**3 - 5*j**2 to the form s*j**2 + d + z*j + p*j**4 + n*j**3 and give p. -4 Rearrange -4900*m + 9803*m - 4901*m - 525 to the form f*m + a and give f. 2 Rearrange (56*h**3 - 488*h**3 - 261*h**3 - 264*h**3 + 211*h**3 - h**2)*(-6*h - h - 4*h) to r*h**4 + d*h**2 + m*h + y + u*h**3 and give u. 11 Rearrange 87*l**3 + 0*l**2 + 122*l**3 - 91*l**3 - l - l**2 + 135*l**3 to g*l**3 + y + d*l**2 + n*l and give d. -1 Express 860*u**2 - 3*u + 892554 - 892554 as n + p*u**2 + s*u and give n. 0 Rearrange 176 - 50 - 76 + 247 + 361 - 13*b to a*b + x and give a. -13 Rearrange -207*g**4 + 274*g**4 - 222*g**2 - 12*g**3 + 225*g**2 to l*g**3 + d*g**2 + k*g + i*g**4 + a and give i. 67 Express -1710*y + 1304*y + 10673*y in the form m*y + s and give m. 10267 Express (-179*l**3 + l**3 - 43*l**3 + (-8*l**3 + 0*l**3 - 12*l**3)*(-3 + 2 - 1))*(-3*l + l - 2*l) as s*l**4 + x*l + a + r*l**2 + w*l**3 and give r. 0 Express (k + 0*k - 3*k)*(-13614*k**2 + 9246*k**2 - 2 - 5) as b + c*k + a*k**2 + w*k**3 and give c. 14 Express (16*i**2 - 7*i**3 - 16*i**2)*(822 - 799 + 3596 + 2815 + 3271 - 279) in the form f*i**3 + j*i**2 + b*i + k and give f. -65982 Rearrange 597*y**2 + 41*y - 121*y + 7*y + 39*y + 38*y to m + b*y + n*y**2 and give b. 4 Express -1220*x**3 - 125 - 6*x**4 + 1221*x**3 + 126 + 4*x**2 - x in the form d*x**2 + v*x + j + n*x**4 + m*x**3 and give v. -1 Rearrange 2*v**3 - 14*v**4 - 6*v**4 + 2*v**2 + 19*v**4 - v**4 - 6*v + 45 to a*v + x*v**3 + l*v**2 + b*v**4 + u and give l. 2 Rearrange (-43*s + 69*s + 10*s + s + s - s + (s - 2*s + 2*s)*(2 - 2 + 2))*(-14*s**2 + 21*s + 2 - 21*s) to the form p*s**3 + a + w*s + r*s**2 and give w. 78 Express -2*p**4 - 4129*p + 3862*p + 374 - 372 - p**3 in the form m*p**3 + i*p + a*p**4 + h*p**2 + f and give f. 2 Rearrange (13 + 9 - 8)*(237 - 73 - 103 - 3*h) + (3 - 3 - h)*(2 + 0 - 1) to the form d + w*h and give d. 854 Rearrange (-4 + 0 + 2)*(361*z + 6688*z - 178*z) to the form y*z + j and give y. -13742 Express (1 - 1 - 1)*(9548*o**3 + 1089984 - 1089984) as h*o**2 + u + d*o**3 + r*o and give d. -9548 Rearrange -1121 - 2*d**2 - 1118 + 35*d**3 - 1121 + 3362 - 14*d to the form y + k*d**3 + l*d**2 + m*d and give l. -2 Rearrange -284 + 284 - 116*d - 1 + 2*d + 5 - 5 - 6 + d + 4 + 4 + (2*d + 5*d - 5*d)*(1 - 1 + 1) to the form p*d + w and give w. 1 Express -49*i**3 + 16*i**3 + 16*i**3 + 110*i as w*i + a + b*i**2 + v*i**3 and give w. 110 Rearrange (3 - 1 - 1)*(-2 + 7 - 3)*(789*b**4 - 284811*b**3 + 142409*b**3 + 142401*b**3) to d*b**3 + c*b + z + j*b**2 + a*b**4 and give z. 0 Express 54*z**4 + 500 + 2*z**3 + 12*z - 502 - 10*z in the form k*z + r*z**3 + g*z**4 + t*z**2 + d and give r. 2 Express (0 - 2 + 3)*(336 - 16*h - 289 + 113) as v*h + y and give v. -16 Rearrange -1470 + 1474 - 5*b**3 - 17*b**3 - 3*b to a*b**3 + k*b**2 + x*b + o and give o. 4 Express -9 - 2 + 8 + 1 - 5*z**3 - 2*z**2 + 17*z as c*z + p*z**3 + m + w*z**2 and give m. -2 Rearrange 102*p**2 - p - 169*p**2 + 2 + 64*p**2 - 267*p**3 to z*p + w*p**3 + k*p**2 + i and give i. 2 Express -5*z + 42 + 93*z**3 - 8*z**3 - 92652*z**2 + 92651*z**2 + 5*z + z as u*z + h*z**3 + j*z**2 + d and give h. 85 Rearrange (0*j - 5 + j**2 + j - 3*j)*(-2 + 5 - 2 - 2 + 1 - 1 + (-3 + 1 + 1)*(-2 + 2 - 2))*(-4*j - 38*j - 37*j) to g*j**2 + w*j**3 + u*j + b and give b. 0 Rearrange (-44*x + 24*x + 21*x)*(-3 + 3 - 2)*(-18*x**3 + 390 - 390) to the form o*x + d + t*x**3 + f*x**4 + w*x**2 and give f. 36 Express -43194*c**2 + 21370*c**2 + 21535*c**2 - 18 in the form a*c + x + s*c**2 and give s. -289 Rearrange 61*j**2 - 414*j**2 - 186*j**2 + 6 + 18*j**2 + 1 to the form z + d*j + p*j**2 and give p. -521 Rearrange -34*z**3 + 54808*z**2 + 44*z**3 - 54229*z**2 to the form j*z + s*z**3 + i + w*z**2 and give s. 10 Express -30 - 2278*t + 30 + 12060*t as l*t + o and give l. 9782 Express (-t**2 + 7*t**2 + 0*t**2)*(337*t**2 + 222*t**2 - 1058*t**2) as i*t**3 + r*t**4 + a + p*t + s*t**2 and give r. -2994 Express -6*j**2 - j**4 - 11*j**2 - 2341*j**3 + 2342*j**3 + j + 19*j**2 - 10*j**2 + 1 as w*j**3 + b*j**4 + k*j + x + o*j**2 and give x. 1 Express w - 173*w**2 + 34 + 164*w**2 - 22*w**2 - 13 - 155*w**2 as x + b*w**2 + q*w and give b. -186 Express -8*s**4 - 2*s**4 - 4*s**4 + (2*s**2 + 2 - 2)*(-787 + 787 - 18*s**2) as p*s**4 + h*s**3 + l + a*s + d*s**2 and give p. -50 Express 0*s + 0 + 12 - 16 - 2*s + 105*s**4 + 0*s**2 + s**2 as g*s + i*s**2 + f + c*s**3 + z*s**4 and give i. 1 Express 2856*y**3 - 2*y + 84*y**2 - 322*y**2 - 2855*y**3 as m*y**3 + r*y**2 + c*y + k and give m. 1 Express 1268*k + 3096*k - 792*k as s*k + i and give s. 3572 Express 13 - 101*f**2 + f**4 + f - 102*f**3 - 13 + 101*f**3 as d*f**2 + l*f**4 + n*f + x + r*f**3 and give l. 1 Rearrange -2*p + 3*p + 6*p + 173*p + 170 - 170 - p + 2 - 2 + (-4 + 3 + 2)*(-1 - p + 1) + 4*p - 2*p - 3*p to x*p + d and give x. 177 Express (-12*l - 3*l + l)*(-1 + 2*l + 1)
{ "pile_set_name": "DM Mathematics" }
(-4*b + 2*b + 0*b)*(4 + 2 - 5)*(3*b + 2*b - 6*b). 2*b**2 Expand (j**2 + j**2 - 8*j**2)*(2*j - 3*j + 0*j + (-2*j + 0*j + 0*j)*(-2 + 1 - 1) + 5 - 5 - 2*j - j - 2*j + 4*j). -12*j**3 Expand (2 + 0 + 3)*(-3 + 2*r + 3) + 4*r + 0*r - 6*r - 6*r + 0*r + 4*r + (-4*r + 0*r + 3*r)*(-1 + 2 + 1). 4*r Expand (6 - 4 - 1)*(-h + 5*h - h)*(1 + 0 - 5)*(3 - 2 - 2). 12*h Expand (4*x + 0*x - 3*x)*(-4 - 16 + 8)*(-3 + 2 + 2). -12*x Expand (-l + 10 - 10)*(-1 + 0 + 0)*(10 + 2*l - 10). 2*l**2 Expand (-u - 2*u + 4*u)*(-1 - 3 + 0)*(2*u + 2*u - 3*u). -4*u**2 Expand (3*s - s + 0*s)*(3 + 4 + 2)*(-3 + 5 + 0). 36*s Expand (3*r + r + 0*r)*(-r**2 + 2*r**2 + 5*r**2). 24*r**3 Expand (-3*w + w + 0*w)*(-4 + 16 - 2). -20*w Expand (-2*n**3 + 0*n**2 + 0*n**2)*(-7 - 8 + 3) + 13*n**3 - 1 + 1. 37*n**3 Expand (2*g**3 - 2*g**3 + g**3)*(1 - 1 - 1) + (6 + 4*g - 6)*(-5*g**2 - 13*g**2 - g**2). -77*g**3 Expand 0*y**3 - 4*y**3 + 0*y**3 + (0 + 0 + 2*y**3)*(0 - 2 + 1) + 0*y**3 + y**3 + y**3. -4*y**3 Expand g - g + 3*g**2 + (-3 + 3 - g)*(-38 + g + 38). 2*g**2 Expand (18*o + 7*o + 4*o)*(0*o**2 + 0*o**2 - o**3) - 4*o**4 + o**4 + 2*o**4 + (-o**3 - 2*o**3 + 4*o**3)*(-2*o + 0*o + 0*o). -32*o**4 Expand 4*o - o**4 + 1 - 4*o + (2*o - 1 + 1)*(-1 + 1 - o**3). -3*o**4 + 1 Expand (-29 - 17 - 12 - j)*(2*j - 3*j - j). 2*j**2 + 116*j Expand (-24 + 21*f + 24)*(4 - 1 - 6)*(0*f + 0*f - f**2). 63*f**3 Expand -11*o**4 + o**3 + 12*o**4 + 48*o**5 - 53*o**5 + (-4*o**3 - 2*o**3 + 4*o**3)*(-o**2 - o**2 + o**2). -3*o**5 + o**4 + o**3 Expand (-2*d - 3*d + 8*d - 2)*(-2*d - d - 2*d). -15*d**2 + 10*d Expand -q**2 - q**2 - q**4 + 0*q**5 + 2*q**5 + (0*q**2 - 4*q**2 + 5*q**2)*(6*q**3 - 7*q + 7*q). 8*q**5 - q**4 - 2*q**2 Expand 2*n + 4*n - 5*n + (-n + n + 2*n)*(-11 + 5 + 5) - 3*n + 4*n - 2*n. -2*n Expand (-2 + 2 + 2*o)*(-1 - 2 + 2)*(o - 3 + 3)*(-3 + 4 + 3). -8*o**2 Expand (1 + 2 - 4 - 2 + 3 + 0 + 1 - 4 + 4 + (-2 + 2 - 2)*(0 + 0 + 1))*(4*g**2 - 4*g**2 + g**2) + 4*g - 4*g - 8*g**2. -9*g**2 Expand (-2 + 5 - 4)*(5*l - 7*l - l). 3*l Expand -6*w**2 - 18*w**2 - 2*w**2 + (w**2 - 6*w**2 + 3*w**2)*(-2 - 3 + 7) - 4 + 4 + w**2 + 5*w**2 + 0*w**2 - 4*w**2 - w + w - w**2. -29*w**2 Expand -2*a**3 - a + a + (-3*a**3 + 12*a - 12*a)*(1 + 1 + 1) + 2*a**3 + 5 - 5. -9*a**3 Expand (-6*f + 4*f + 9*f + 2*f + 3*f - 4*f + (1 + 1 - 1)*(f - 4*f + 5*f))*(f - 2*f + 2*f). 10*f**2 Expand (-3*s + 0*s + s)*(-2 + 2*s + 2) - s**2 + 4*s**2 - 4*s**2 - 2*s**2 + s**2 - 5*s**2. -11*s**2 Expand (0*b**2 - b**2 + 0*b**2)*(-5*b + 5*b + b) - 3*b**3 + 0*b**3 + 5*b**3 - 1 + 39*b - 3*b**3 - 39*b. -2*b**3 - 1 Expand (22 - 9 - 7)*(-4*d**2 + 3*d**2 - d**2). -12*d**2 Expand (-1 + 5 - 2)*((-9*y**2 - 2 + 2)*(-2*y**2 - 2*y**2 + 2*y**2) + 4*y**4 - 4*y**4 + 2*y**4). 40*y**4 Expand (-t - 4*t + 2*t)*(2*t + 0*t - 3*t - 2). 3*t**2 + 6*t Expand (2*u**4 - 7*u**4 + 3*u**4)*(-1 - 5 + 4) - 37*u**4 - 344 + 344. -33*u**4 Expand (-n + 2*n + 2*n)*(7*n**3 + 5*n**3 - 5*n**3). 21*n**4 Expand (-r - 4*r + 3*r)*(-7 + 1 - 1)*(-r + 4 - 4). -14*r**2 Expand (0*k**3 + 3*k**3 + 5*k**3)*(1 - 2*k + 0 + 4*k). 16*k**4 + 8*k**3 Expand (0 + 3*z + 0)*(0*z**3 - z**3 + 0*z**3) + (4*z**3 + 2*z**3 - 2*z**3)*(2*z - 2*z - 2*z) + z**2 - z**2 + 2*z**4 - z**3 + z**3 - z**4. -10*z**4 Expand (1 - 3 + 2*v + 1)*(-4*v**4 + 5*v**4 - 5*v**4 + (v**2 + 3*v - 3*v)*(-2*v**2 - 2 + 2)). -12*v**5 + 6*v**4 Expand (4*g**4 + 2*g**5 - 4*g**4)*(0 + 0 + 2 - 4 + 0 + 6 + (3 + 0 - 4)*(-2 + 3 - 3)). 12*g**5 Expand (-2*s + 6*s - 3*s)*((-2*s + 7*s - 3*s)*(1 - 3 + 4) - s - s + 0*s - 11*s + 19*s - 21*s)*(0*s - s + 2*s). -11*s**3 Expand (6*v**2 - 2*v**2 + 0*v**2)*(-5 + 4 - 1)*(5*v - 2*v - 5*v). 16*v**3 Expand -3*v - 3*v + 7*v + (8 + 19 + 10)*(3*v - v - 3*v). -36*v Expand (-1 - 19 + 7)*(2*t - 2*t - 2*t)*(0 + 0 + 7). 182*t Expand (-2*z**3 + 4*z**3 - z**3)*(0 + 3 - 2)*(0 + 11 - 3). 8*z**3 Expand (-3*x + x - 3*x)*(-2*x**3 + 2*x**3 + 2*x**3) + 2*x**4 + 0*x**4 + 0*x**4. -8*x**4 Expand 4*v + 3*v - 2*v + (2*v + 0 + 0)*(-2 + 1 + 2). 7*v Expand (-3 - 1 + 6)*(-8 + 9 + 18)*(-2*s**5 - 3*s**5 + 4*s**5). -38*s**5 Expand (-4 + 9 + 22)*(-4 - 2*w - 6*w**2 + 4). -162*w**2 - 54*w Expand (-u - 2*u + 4*u)*(1 - 3 + 3) + (0 + 5 - 6)*(-u + 2*u + 2*u)*(-1 + 4 - 1). -5*u Expand (-11 + 8*j**2 + 11)*(-2*j**2 + 3*j**3 + 2*j**2) + 2 + j**5 - 2. 25*j**5 Expand 5*v**2 - 2*v**2 - 5*v**2 + v**2 + 8*v**2 - 2*v**2 + 0*v**2 + 0*v**2 + 2*v**2 + (0*v + 2*v + 0*v)*(1 + 2*v - 1). 11*v**2 Expand (2 + 2 - 5)*(-247 + 9*v + 247). -9*v Expand (1 + 2*l - 5 + 2)*(l**2 - l**2 - 6*l**3)*(0 + 0 + 3*l). -36*l**5 + 36*l**4 Expand -13*y**2 - y**3 - 8*y**2 + 12*y**2 + (0*y + y + y)*(3*y**2 + 0*y**2 - y**2). 3*y**3 - 9*y**2 Expand (3*j - 4*j + 2*j)*(0*j - j + 2*j) + 4*j**2 - 3*j**2 - 18*j**2. -16*j**2 Expand (-v**2 + v**2 + 2*v**2)*((-2*v + 2 - 2)*(2*v - v - 4*v) + 4*v**2 + v**2 + 2*v**2). 26*v**4 Expand (2 - 2 + 1)*(3 - 3 + 2)*(7*r + 6*r - 2*r). 22*r Expand (-o**4 - 1 + 1)*(-5*o + 0*o + 4*o) + 3*o**5 - 5*o**5 + 5*o**5. 4*o**5 Expand (2 - 5 + 2)*(4*p - 2*p + 0*p)*(-5*p**2 + 5*p**2 + 2*p**3). -4*p**4 Expand (-y + y - y**2)*(0*y + 4*y + 2*y) - y**3 - 4*y**3 + 7*y**3. -4*y**3 Expand (1 - 4 + 1)*(4*i**5 - 2*i**5 - i**5) + 3*i**5 - 5*i**5 - 65*i + 69*i. -4*i**5 + 4*i Expand 1 - 15*r**2 - 4*r**3 + 15*r**2 + 2*r**3 - 4*r + 4*r + (0*r**2 + r**2 - 3*r**2)*(4*r - 2*r + 0*r). -6*r**3 + 1 Expand (4*f**4 - 3*f**4 - 2*f**4)*(-5 - 6 + 1). 10*f**4 Expand (-v**2 + 4*v**2 - v**2)*(1 + 3 - 1)*(5*v - 5*v + 3*v**3). 18*v**5 Expand (3*h**2 + 2*h**2 - 3*h**2)*(-h + 3 - 3) + 92*h**2 + 7*h**3 - 92*h**2 - 2*h - 2*h**3 + 2*h. 3*h**3 Expand (-2*d + 4*d - 3*d)*(-3 + 7 - 2) + (0 + 0 - 3)*((-2 + 5 - 2)*(-2*d + d + 3*d) + d + d + 3*d). -23*d Expand (-7 - 5 + 2)*(2 - 6 + 3)*(-2 - 2*w - 1 + 0*w). -20*w - 30 Expand (0 + 1 + 0)*(10*u + 17*u - 4*u)*(2 - 3 - 1). -46*u Expand 2*r**3 + r**2 - r**2 + (r**3 + 0 + 0)*(-2 + 1 - 2). -r**3 Expand (d**2 - d**2 + d**3)*(-18 - d + 9*d + 20). 8*d**4 + 2*d**3 Expand (5 - 1 - 3)*(-108*q + 14*q - 111*q + 9*q). -196*q Expand (-4*a + 3*a + 0*a)*(1 - 27*a + 12*a - 23*a). 38*a**2 - a Expand (-2 + 0 + 4)*(2 + o - 2 + (-3*o + 2*o + 0*o)*(-2 + 6 - 2)) + 19 - 39*o - 19. -41*o Expand (5*y**3 + 0*y**3 - y**3)*((3*y - 4*y - y)*(-4 + 0 + 2) + 0 + 2*y + 0). 24*y**4 Expand 4*g**5 + g**5 - 4*g**5 + (1 - 4*g**4 - 1)*(-5*g + 3*g + g). 5*g**5 Expand (1 - 4 + 4)*(14 - 3 - 4)*(-12 + 12 + 2*z). 14*z Expand (6*c**4 - 2*c**4 - 2*c**4)*(3*c + 0*c + c)*(2 - 5 + 1). -16*c**5 Expand r**2 - 7 - 7 + 6 + (-1 + 0 + 3)*(3 - 3 + 2*r**2). 5*r**2 - 8 Expand (4 - 2*h - 4)*(2 - 5 + 2)*(3 + 12*h - 3). 24*h**2 Expand (-24 + 24 - 24*v)*(0*v**2 - v**2 + 3*v**2). -48*v**3 Expand (0*g**2 + g**2 + 0*g**2)*(g**2 + 0*g**2 + 0*g**2 + (g - 3*g + 3*g)*(g - 1 + 1))*(-7 + 2*g - 2 + 0). 4*g**5 - 18*g**4 Expand (0*g**5 - 2*g**5 + 0*g**5)*(-3 + 6 - 2) + (1 - 1 + g)*(2*g - 2*g + g**4). -g**5 Expand (3 - 5 - 1 + 15*y)*(-4*y**4 - y**4 + 4*y**4). -15*y**5 + 3*y**4 Expand (-2 - 5 + 1)*(6*k + 7*k - 6*k). -42*k Expand (-1 - 1 - 2)*((-t + 2*t - 5*t)*(2 - 2 - 2) + t + 2 - 2). -36*t Expand (n + 2*n - 4*n)*(-2*n**4 - 2*n**4 + 3*n**4) + n**5 + 2*n**5 + 0*n**5. 4*n**5 Expand -3*n**2 + n**2 + 0*n**2 + (2*n - 2*n + n)*(-1 + 2 + 2)*(3*n - n + 0*n). 4*n**2 Expand (-3*f + 3*f - 2*f**2)*(-1 - 2*f**2 + 1 - 4*f**2 + 2*f**2 + 0*f**2 + (3*f**2 + f**2 - 6*f**2)*(-1 + 1 - 2) + 2*f**2 + 4 - 4). -4*f**4 Expand -2*w**4 - 3*w**2 + 3*w**2 + (2 + 4 - 5)*(-w**4 - w**4 + 0*w**4) + w**3 + 2*w**4 - w**3 + (-w**2 + w**2 - w**2)*(-2*w**2 - 4*w**2 + 3*w**2). w**4 Expand 4 - 4 + t**3 + (0*t**2 + 4*t**2 - 2*t**2)*(-2*t - 4*t + 0*t). -11*t**3 Expand -7 - 4*c + 7 + (-1 - 1 + 1)*(4 - 4 - c) + (-1 - 2*c + 1)*(-1 + 3 - 4). c Expand 18*m + m**4 + 2*m**2 - 11*m - 6*m + (3 - m - 3)*(m**3 - m**3 + 2*m**3) - 6*m**2 + 6*m**2 - 3*m**4. -4*m**4 + 2*m**2 + m Expand 2 - 2 - y**2 + (0*y + 4*y - 2*y)*(-2*y + 3*y - 2*y) - 4*y**2 + y**2 + y**2. -5*y**2 Expand (34*d + 7*d - 4*d)*(-4 - 2 + 5). -37*d Expand ((-3 + 1 + 1)*(-102 + 43 + 32) - 1 + 3 - 1 + (0 - 2 + 4)*(0 - 2 + 0))*(0*u + 0*u + 2*u). 48*u Expand (-4 + 2*v + 4)*(2*v**4 + v**4 + 0*v**4) - 5*v**2 + 4*v**5 + 5*v**2. 10*v**5 Expand (-7*q**5 + 2*q**5 + 0*q**5)*(-2 + 0 + 3) + (-2*q**2 + 2*q**3 + 2*q**2)*(-4*q**2 + 2*q**2 - q**2). -11*q**5 Expand (-7*l + 3*l + 2*l)*(3*l**4 - 3*l**4 + l**4) + 5 - 6*l**5 - 5. -8*l**5 Expand (1 + 2 - 1)*(3*f**3 - 2*f**3 + 0*f**3). 2*f**3 Expan
{ "pile_set_name": "DM Mathematics" }
is positive. b**(4105/384) Simplify ((b/((b*b**4)/b))**(2/9)/(b**(-7/3)/(b/b**(-23))))**(-32/3) assuming b is positive. b**(-2464/9) Simplify ((a**(-1))**(-30/11))**5*(a**3/a**(-8))**(-7) assuming a is positive. a**(-697/11) Simplify (((j/(j*j**(-7)))/(j*j**(2/47)/j))/((j/(j**(-1/24)*j))/j**(-14)))**(-15) assuming j is positive. j**(39955/376) Simplify (((h*h**4)**4*(h**(2/43)*h)/h**(-15))**(1/38))**(10/3) assuming h is positive. h**(7750/2451) Simplify (g**(2/9)/((g/(g*g**6))/g*g))**(-1/36)*g**(-6)/g*g**(-1)/g*(g**4*g)/(g*g*g/(g/(g*(g*g/g**0*g)/g)*g)) assuming g is positive. g**(-662/81) Simplify (u**4/(u/((((u/(u*u**(-9)))/u)/u)/u))*(u/((u*u**(1/3))/u))/u*u/u**9)/(u*(u*u*u**3)/u*u*u**(-4/5)*(u/(u*u/u**(1/3)*u))**(-10/3)) assuming u is positive. u**(-454/45) Simplify ((i*i**(-2/11)*i*i**(-1/8)*i**3/(i/i**(4/3)))**8)**(-1/4) assuming i is positive. i**(-1327/132) Simplify ((s**(-15))**(-21)/(((s**(2/5)/s)/s*s)/s**(-3/5)))**(-50) assuming s is positive. s**(-15750) Simplify (x**(-2/11)*x*x*x**(-2/9))/((x*x**(-1/2))/(x*x**(-1/9)))*(x**(-3/4)/x*x/(x*x/(x**6*x)*x))/(x**(1/14)*x/(x**5/x)) assuming x is positive. x**(7543/924) Simplify ((b*b**(-4/21)*b/(b*b**20/b))/(b**(8/3)*b/(b/(b/((b*b**(-1))/b))*b)))**(-32) assuming b is positive. b**(4896/7) Simplify m**(4/9)*(m*m**0/m)/m*m*(m/(m*m**(-1/2)*m)*m)**11*m**1/(m/(m/m**9))*m*m**(2/3)*m*m**(5/4) assuming m is positive. m**(67/36) Simplify (((f/(f*f/(f/(f*f/(f/f**(11/2))*f))*f))/f*f*f/f**(-5))/(((f/f**(-2/21))/f)/(f/((f**(-4/5)/f)/f))))**(1/9) assuming f is positive. f**(253/1890) Simplify f**(-37)*f*f*f/f**(2/9)*(f**(2/45)/f)/(f*f**(14/5)/f) assuming f is positive. f**(-1709/45) Simplify h**3*h**0*(h*h**0*h*h)**(14/11)*((h*h**5)/h*h**(-3))/(h**(1/4))**(-1) assuming h is positive. h**(399/44) Simplify (d**(3/7)*d**(-4/21)*(d**(-21))**(-38))**(-47) assuming d is positive. d**(-787861/21) Simplify y**44*y*(y/(y*y**(3/34)))/y*(y/(y*y**(-30)*y))/y*y**(-37) assuming y is positive. y**(1187/34) Simplify ((g/(g*g*g*g**(-2)))/(g**(3/5)/g))**12*g**(-5)*g*g/(g**(1/4)/g)*g**(-7)*g*g**(1/5) assuming g is positive. g**(-13/4) Simplify ((v**4*v*v*v**(-2/11))/(v**(3/4)*v*v*v**(-1/7)))/(((v/(v*v*v**(-6/11)*v*v))/(v/(v**(-2/3)*v)))/(v/(v**(-1)*v*v*v*v)*v*v/v**4)) assuming v is positive. v**(2155/924) Simplify ((s**(2/7))**44)**(-1/67)/(((s*s**(-4)*s)/s)/s**(-2/13))**(-2) assuming s is positive. s**(-35850/6097) Simplify ((x**(2/5))**(2/3)*(x/(x/(x*x*x**0/x*x)))**31)/(x**4*x/(x*x**(-3)*x))**(2/11) assuming x is positive. x**(10094/165) Simplify i*i*i*i**38/i*i**40*(i**(-3/13)/i*i)**(-3/5) assuming i is positive. i**(5209/65) Simplify ((o*(o/(o*o*(o*o**10/o*o)/o))/o*o*o)/o*o*o**(-2/15)*(o*o*o**(2/15))/(o*o**(-8)))**(1/13) assuming o is positive. 1 Simplify (a**16/(a/(a**(7/13)/a))*(a/a**(-1/28))/a**(1/7))**(-10/3) assuming a is positive. a**(-28085/546) Simplify ((f*f*f/(f/(f**6*f))*f)/f**(2/9)*((f/(f/f**(-2/5)))/f*f)/f*((f*f**0*f*f)/f*f)/f)/((f/(f*f*f/f**(1/2)*f*f))/(f*f**(5/7)))**50 assuming f is positive. f**(85394/315) Simplify ((i/i**(-4)*i**(-1/6)*i)/((i*i**(-3))/((i*i/i**(-2)*i*i*i)/i*i)))/((i/(i**1*i))/(i*i**(1/5)*i*i))**37 assuming i is positive. i**(5107/30) Simplify ((q*q**0*q)**33)**(-49)/((q/q**(-2/3))/(q**(1/7)/q))**(1/11) assuming q is positive. q**(-747107/231) Simplify (((l/(l**(-4/19)*l))/l)/l)**(-32)*(l/(l/l**(21/8)*l))/l**42 assuming l is positive. l**(2567/152) Simplify z/z**(-3/8)*z*z*z*z/(z*z**(-6)*z*z)*(z/(z*z**(1/4)))**(-4/15)*(z**(1/7)*z/z**(-1/2))/((z*z*z**4)/(z/z**(4/3))) assuming z is positive. z**(3151/840) Simplify (c/(c/(c*(((c/(c/(c/c**(-28))*c*c))/c)/c)/c)*c)*c*c/(c/c**0)*c/(c/(c**(-14)*c))*((c/(c*c/c**(-1/24)*c))/c)/c)**(2/13) assuming c is positive. c**(191/156) Simplify ((v/(v*v**(-1)))/(v*v**2/v))**(6/11)*(v*v*v*v*v**(1/24)*v*v**13*v)**(-4/15) assuming v is positive. v**(-5567/990) Simplify ((r/(r*r**(1/6)*r)*r*r*(r*r*r/(r/r**6))/r*r**(-4/7)*r**(3/2))**36)**(-38) assuming r is positive. r**(-83904/7) Simplify ((h/((h*h/(h/h**0)*h)/h*h*h)*h)**1*h**1*h**(1/6))/((h/((h/(h*h/h**(-2/7)*h))/h))**(2/81)/(h**(-1)*h*h**0)) assuming h is positive. h**(23/378) Simplify (((b**8/b)/b*b**(-1/6))/(b**(-3/10)/(b/(b/(b/((b/(b/(b**2*b*b)))/b))))))**(-1/5) assuming b is positive. b**(-62/75) Simplify ((w**(3/2))**(-3/5))**(-43)*(w**(-11)*w/w**7)**(-49) assuming w is positive. w**(8717/10) Simplify ((o*o**7/o)/(o*(o**(-1)*o)/o))/(o/(o*o**(-1/4)/o)*((o/o**(-5/3))/o*o)/o)*((o*o**(-3/10)*o)/((o/o**(-1/3))/o))**29 assuming o is positive. o**(2623/60) Simplify (c**3/(c*c**(1/2)))**(2/35)*((c**(-1))**(-1/27))**(21/4) assuming c is positive. c**(353/1260) Simplify ((((d*d*d**7)/d**(1/5))**(-3/5))**26)**(-16/3) assuming d is positive. d**(18304/25) Simplify ((u**(-5/4)*u/(u/u**(4/3))*(u**1)**(-11))**(-1/77))**(-33) assuming u is positive. u**(-131/28) Simplify ((y*y*y*y*y**(-6)*y)/((y**(-2/9)/y)/y))**(-47)*(y/(y**(1/4)*y))**(2/27)/(y**(-1/4))**(-3/32) assuming y is positive. y**(-198673/3456) Simplify ((i/(i*i**7/i))/i*i**3)**(-2/73)/(((i/(i**(-5)*i))/i*i/((i*i**(2/9))/i))/(i**(-1))**(-2/133)) assuming i is positive. i**(-406597/87381) Simplify n**(2/7)*n*n*n**3*(n*n**20)**(-48) assuming n is positive. n**(-7019/7) Simplify ((s*s*s**(-2/15))/(s/(s/s**20))*(s**(-4))**13)**(-2/23) assuming s is positive. s**(2104/345) Simplify (((y*y*(y/(y**1*y))/y*y*y)/y*y)/((y*y**(2/5)/y)/y*y))**(-1/31)*(y**0*y*y)/y**8*(y/(y*y**8))/(y/(y/(y/(y**(3/5)*y)))) assuming y is positive. y**(-417/31) Simplify ((v/(((v*v**(-2/3))/v)/v))**28*(v**(2/7))**49)/((v*v*v*v*(v/v**0)/v)/v**5*(v**4/v)/(v/(v**2*v))) assuming v is positive. v**(254/3) Simplify ((m/((m/(m/(m*m/m**(1/4))))/m)*m)/m**(-2/5))/(m**(-7)/m**(-1/7))*((m*m**1)**(1/8))**24 assuming m is positive. m**(2031/140) Simplify (s**0/(s*s*s*s**(2/11)))**27/(((s/(s/s**1))/(s/((((s/s**(1/6))/s)/s)/s*s)))/(s**(-1/3))**(-39)) assuming s is positive. s**(-4735/66) Simplify (o**(-2/49)/(o**(-2/11)/o))/(o**(2/55)*o**(-9/5)) assuming o is positive. o**(7828/2695) Simplify ((y**(-2/7)*y*y**(-1/7))/(((y/((y/(y**(-1)/y))/y))/y)/(((y/(y*y*y/(y**4*y*y)*y))/y*y)/y)))/(y/(y/(y*y**(1/2)))*y**(-5)*y)**9 assuming y is positive. y**(379/14) Simplify (((d*d**(1/6))/d*d)/d**(-10)*(d**(-6)*d*d)/((d*d**(3/5))/d))**(11/3) assuming d is positive. d**(2167/90) Simplify ((l**(-17)/l**(-2/31))/(l*l*l**(-10)*l)**(1/75))**(-1/2) assuming l is positive. l**(19579/2325) Simplify (w**(-1))**40*(w**(-2/7))**(-25) assuming w is positive. w**(-230/7) Simplify (a**(1/22))**(3/5)/(a**(-1/4))**(4/17) assuming a is positive. a**(161/1870) Simplify (o**(-2/7))**(-2)/(o**(-1)*o/o**(7/5)*o)*((o/(((o/((o*o/(o*o**(-1/11))*o)/o)*o*o)/o)/o))/(o*o*o**(1/3)))**20 assuming o is positive. o**(-27578/1155) Simplify (v**(-1))**(22/7)/((v/v**(-5/2))/v**(-1/4))*(v**4*v*v*v**(-1/6)*v*v*v)/(v**(2/3))**(21/2) assuming v is positive. v**(-425/84) Simplify (((t/(t/(t*t/(t/t**6)*t)))/t**(2/9))/(t**(-1))**26)/(t*t**(-9)/t*t*t**(-2/7)*t*(t/((t*t/(t*t/(t/t**2))*t*t*t)/t))/t**(5/6)) assuming t is positive. t**(5279/126) Simplify ((s/s**(-4/15))**(-23)*(s/(((s*s/s**(-3/7)*s)/s)/s))/(s/(s/s**15)))**(-7/11) assuming s is positive. s**(4679/165) Simplify (g/(g/g**(-3/11)*g*g)*g**6*g**(-1/4)*g*g**(2/15)/g)/(g**(-7)*g*g*g**(-5)*(g*g**(-2/9))**(2/141)) assuming g is positive. g**(3796729/279180) Simplify ((z**(-2/11)/(z/(z/(z**2*z)*z)))/(((z/(z*z**(-2/11)))/z)/(z*z*z**(-1/8))))/(z**(-1)*z**(2/13)*z*z**(-1)*z/z**(-2/5)) assuming z is positive. z**(-243/5720) Simplify ((n*n/n**(-8))/(n**(-10)*n))**(-25)*(n/(n/((n**(-5/6)/n)/n))*n)/(n*n**(1/3)*n)*(n*n/(n*n/n**2*n))**(-48) assuming n is positive. n**(-3163/6) Simplify a**(-1/8)/(a/(a/(a**(-6)/a)))*(a*a**(-1)*a)**(-8)*((a**(-1/5)*a)/a**(-10))**(4/5) assuming a is positive. a**(1503/200) Simplify (((n/(n*n/n**8)*(n/(n**7/n*n))/n)**19)**(2/21))**(4/5) assuming n is positive. 1 Simplify ((p**2)**18)**(5/8)*(p/(p/(p*p**1)))**(-2/21)/(p*p**1)**(-1/19) assuming p is positive. p**(17887/798) Simplify ((g*g**5)/((g/(g/g**(2/11)))/g))**(1/67)*(g/g**(-5)*g*g*g*g**(-3))**(1/9) assuming g is positive. g**(1699/2211) Simplify (y/(y/y**(-2/5)))**(-39)/(y**0)**(-2/5)*(y/((y/(y**0/y))/y))**(-36)/(y**0/y)**(-26/9) assuming y is positive. y**(572/45) Simplify ((m**(-2/3))**(1/28)*(m**(-1))**(-30))/((m**7*m*m*m**(-2)*m*m*m)
{ "pile_set_name": "DM Mathematics" }
8847 in the form j + r*s**2 + d*s and give r. -23 Rearrange 237*o - 13*o**3 + 4 + 1 + 3085*o**2 - 3084*o**2 - 5 to the form c*o + j*o**2 + s + k*o**3 and give j. 1 Rearrange 184*c + 391*c + 407*c - 186*c to p*c + q and give p. 796 Rearrange (3 - 3 + 2*w)*(-40*w - 269 + 41*w + 0*w + (-w + w - 3*w)*(3 + 2 - 4)) to g + b*w + t*w**2 and give b. -538 Express -18 + 72 - 20 - 34 + 18119*k in the form l + p*k and give p. 18119 Rearrange 9 - 2*p + 58 - p + 29 to the form n*p + w and give w. 96 Rearrange -11*f**3 + 4*f**3 + 3 - 20239*f - 7*f**2 - 6*f**2 + 20237*f - 41*f**2 to i*f**3 + w*f + l + n*f**2 and give n. -54 Express (10 - 14 + 42 + 1 - 2 - 2 - 4 + 4 - 1 + 1 - 3 + 1 + (-2 - 1 + 2)*(-1 + 0 + 3) - 1 - 1 + 5 - 4 + 2 + 4)*(1 - 1 - 2*r) as t + k*r and give k. -72 Express ((j - 2*j + 0*j)*(-194 - 27 - 17) + 34 - 34 - 12*j + 64*j)*(-3 + 1 + 1) as i + h*j and give h. -290 Express (-4*s - 9*s**3 + 7*s + 0*s)*((2 + 0 + 0)*(-1 - 1 + 0) - 1 + 1 + 2 - 31 - 65 - 42) as l + o*s**3 + r*s + k*s**2 and give r. -420 Rearrange (-3*f - 5771 + f + 5980)*(-14*f + 17*f - 12*f + 4*f - 4*f + 3*f + 0 + 0 - f + (-2 + 2 - 1)*(f + 5*f - 5*f)) to the form p*f**2 + d + n*f and give d. 0 Express (y**2 - 4*y + 4*y)*(3 - 5*y - 3 - 2)*(-1643*y - 2521*y - 578*y) as z*y**3 + x*y**2 + i*y**4 + m + k*y and give z. 9484 Express 81 - 7*h - 34*h - 81 + 3*h**3 + 1774*h**4 - 1773*h**4 as p*h**2 + w + r*h**3 + n*h**4 + t*h and give n. 1 Express (4 - 4 + 4*c)*(517 - 3695 - 28) as v + j*c and give j. -12824 Express ((-3 + 1 + 1)*(-8*b + 3*b - 5*b) - 2*b + 4*b + 0*b)*(-7 - 5 - 4) + 2*b - 5*b + 0*b as c*b + h and give c. -195 Express (-3 + x**2 + 3)*(-21*x**2 + 33*x**2 - 16*x**2) + (x**3 - 12*x**3 - x**3)*(5*x + 4*x - 5*x) as s*x**2 + u + r*x**4 + c*x + p*x**3 and give s. 0 Rearrange (-1 + 1 + 1 - 4 + 1 + 2 + (-4 + 4 - 1)*(2 - 4 + 0))*(249 + 62 + 70 - 24*h) to the form m + i*h and give m. 762 Express (-22*x + 401 - 401)*(163 - 22 + 77)*(0*x - 5*x + 4*x) in the form d + t*x + f*x**2 and give f. 4796 Rearrange -2329*l**2 + 3769*l**2 + 10 - 1887*l**2 - 2*l to the form z*l**2 + j + r*l and give r. -2 Rearrange (-6 - c**2 + 6)*(25 + 67 - 27)*((-c - c + c)*(1 - 1 - 1) + 5*c - c - 3*c) - 4 + 4 - 2*c**3 to g*c**3 + y*c + u*c**2 + f and give y. 0 Rearrange 885*x - 2002*x - 229*x - 4 + 4 to i*x + d and give i. -1346 Express (-2*w**4 + 7*w**2 + 331*w - 333*w + 3*w**2)*(24 - 22 - 32) as v*w + d*w**4 + r + y*w**2 + u*w**3 and give d. 60 Express 2696*k - 10*k**2 - 24*k**2 - 2819*k as q*k + o*k**2 + j and give o. -34 Rearrange (328991 - 328991 - 1270*s)*(-6*s**2 + 6*s**2 + 5*s**2 + (1 - 1 + 2*s)*(-5 + 5 + 2*s)) to i*s**2 + h*s**3 + d*s + x and give h. -11430 Rearrange (-1839*j + 207*j - 451*j - 1353*j)*(-3*j + 0*j + 2*j - 1) to g*j + v + n*j**2 and give n. 3436 Rearrange 4 - 189*w - 128*w - 11*w to the form u + k*w and give u. 4 Rearrange 155*l + l**2 + 8*l**2 - 47 - 8*l**2 - 159*l - 2*l**4 + 4*l**4 to the form j + a*l**3 + y*l**4 + w*l**2 + f*l and give j. -47 Express (-q - 4*q + 6*q)*(-22682 - 17606 + 12535 - 6314) as i*q + a and give i. -34067 Rearrange (3 - 3 - 4*i)*(-2 + 4 - 4)*(177*i - 84*i - 93*i + 392*i**2) to u*i**3 + j + k*i + w*i**2 and give u. 3136 Express (-3*u + 2*u + 0*u)*(-u + 4 - 4) + (-1 + 2 + 0)*(-3*u**2 + 2*u**2 + 6*u**2) + (-22 - 2 - 20*u + 18)*(-3*u - 2*u + 3*u) as c*u + y*u**2 + i and give c. 12 Rearrange (-4 + 4 - 4*a)*(-10997 + 6514 + 5571)*(0 - 6 + 4) to x*a + w and give x. 8704 Express (-294*n + 8 + 159*n + 12 + 165*n)*(n**2 - n**2 + n**2)*(41 - 4 + 18) in the form t*n**3 + h*n**2 + g + w*n and give t. 1650 Express -6*g**4 + 12*g**3 + 13*g - 10*g + 9*g in the form y*g**4 + m + s*g + d*g**2 + q*g**3 and give s. 12 Express -26*f + 21*f + 566*f**2 + 5*f + 556*f**2 in the form v + p*f + k*f**2 and give k. 1122 Rearrange 648*t**3 + 6 + 0*t**2 + 0 - 338*t**3 - 6*t**2 - 311*t**3 - 25*t to the form v*t + i + p*t**2 + z*t**3 and give p. -6 Express (3*l - 2*l**2 - 3*l)*(52*l + 30*l - 32*l) - l**3 - 696*l**2 + 696*l**2 + 17 as p*l + a + o*l**2 + n*l**3 and give n. -101 Express -2464 + 2425 - 28*g**3 - 25*g**3 + 3*g**2 + 3*g**2 - 5*g**2 in the form w*g + t*g**2 + z + a*g**3 and give a. -53 Express 28*v**4 - 22 - 35*v**4 - v**3 - 353*v**2 + 351*v**2 - 2*v as k*v**2 + q*v**3 + y*v**4 + u + m*v and give q. -1 Rearrange (-14*v + 4*v - 4*v)*(127*v + 146*v - 86*v + 9*v) to the form z + y*v**2 + h*v and give z. 0 Rearrange -62 + 1242*p**2 - 91*p + 1242*p**2 - 3720*p**2 + 1237*p**2 to the form c*p**2 + d*p + z and give c. 1 Express -y**2 + 3*y - 1986 - 44*y**2 + 46*y**2 in the form i*y**2 + k + p*y and give i. 1 Express -168*j**4 + 3 - 2*j**3 - 146*j**4 + 325*j**4 - 15*j as v*j + x*j**4 + d*j**3 + w + a*j**2 and give d. -2 Rearrange (144*r - 118*r + 59*r)*(3*r - 7*r + 22*r) to the form n + h*r + y*r**2 and give y. 1530 Rearrange (-z + 2*z**2 + z)*(0 + 1 - 2) - 2*z + 2*z + z**2 - 93*z**2 - 42*z**2 + 30*z**2 + 3*z**2 - 7*z**2 - 2*z**2 to the form a*z + f + v*z**2 and give v. -112 Express 4*i - i - 4*i + (-4*i - 2*i - i)*(82 + 3 + 56) as t*i + q and give t. -988 Rearrange i - 44253*i**2 + 3*i - 5*i + 44011*i**2 to the form m + o*i**2 + s*i and give o. -242 Rearrange -3706 - 81*g**2 + 1845 + 1851 to the form r*g**2 + k*g + y and give k. 0 Rearrange 0 + 0 - 2*k**2 + (-3678 + 3678 - 604*k)*(-4*k + 0 + 0) to o + x*k + f*k**2 and give f. 2414 Rearrange -17*m - 21 + m**2 - 545*m**4 + 573*m**4 + 17 + 6*m to the form r + l*m + z*m**3 + x*m**4 + o*m**2 and give r. -4 Express (s + 4*s + 4*s)*(135*s - 314*s - 997*s) as l + i*s**2 + o*s and give i. -10584 Express (-111*i - 5*i + 42*i + (0*i + 3*i - 2*i)*(1 - 1 - 1))*(-7 + 2 + 2) as p*i + r and give p. 225 Rearrange (5 + 4 - 2)*(-156 + 66 - 326)*(0*i + 5*i - 2*i) to the form z + k*i and give k. -8736 Express 23*o - 2 + 2*o**2 - 6*o**2 + 15*o - 42*o**3 - 35*o in the form m*o**3 + k + r*o**2 + t*o and give k. -2 Express 2*k**4 + k**3 - 63853 + k**3 - 147*k**2 + 63855 as u*k + b + y*k**2 + f*k**3 + s*k**4 and give f. 2 Express (168*n + 112*n + 57*n)*(-2 - 1 + 2)*((-2*n + 1 - 1)*(1 - 1 - 2) - 2*n - n + 8*n)*(1 + 3 - 2) as y + i*n + u*n**2 and give u. -6066 Express (-3*v**3 + 3*v**3 + 3*v**3)*(828 - 322*v - 828) - 6*v**4 + 16*v**4 - 7*v**4 as r*v + p + d*v**3 + l*v**2 + b*v**4 and give b. -963 Rearrange (-5*y + 2*y + 5*y + (99 - 48 - 56)*(-2*y - 3*y + 3*y))*(11*y**2 + 9 - 8 - 5*y**2) to d + q*y**2 + u*y**3 + i*y and give u. 72 Rearrange 13 + 6*u**2 - 13 + u**2 + 0*u**2 - 2*u**2 + (2*u + 1 - 1)*(2*u + 0*u + 0*u) + 605*u**2 + 373*u**2 + 231*u**2 to the form y*u**2 + d + l*u and give y. 1218 Express (-81 + 77 + 44)*(-2 - 3*x + 2)*(77 - 77 + 8*x**3) as c*x**2 + g*x + j + t*x**4 + p*x**3 and give g. 0 Express (-6*r + 0*r + 4*r)*(1 + 21 - 5) - 8*r - 4*r + 2 + 15*r in the form f*r + b and give f. -31 Express 17102*n**3 + 0 - 2*n**2 - 34206*n**3 + 17*n**4 - 2 + 2*n + 17096*n**3 in the form m*n + j + s*n**4 + b*n**2 + f*n**3 and give f. -8 Express 195*d - d**2 + 63*d - 49*d + 0 + 0 as a*d + z*d**2 + y and give a. 209 Express (-3 - 8 - 12)*(29*r**2 + 232*r - 38*r**2 - 71*r**2 - 233*r) as v + f*r**2 + x*r and give v. 0 Express 9*g + 897*g**2 + 108 + 850*g**2 - 1748*g**2 in the form c*g + u*g**2 + s and give c. 9 Rearrange 55*y + 6*y**2 + 1797 - 3588 + 1792 to u*y**2 + g + t*y and give u. 6 Express (-19*n**2 - 20*n**2 + 14*n**2)*(-3*n - 1 + 1) - 2*n**3 + 11*n**3 + 22*n**3 as r*n**2 + o*n + t*n**3 + g and give t. 106 Express -2*j**2 + 0*j**2 - 6*j**2 + (2*j - 3*j + 2*j)*(-1 + 0 + 2)*(-170 + 213*j + 170) in the form f + s*j + i*j**2 and give i. 205 Rearrange -2811*g + 125*g - 6956*g + 1572*g to d*g + k and give d. -8070 Express (-2 - 3 - 1)*(-4*g + 3*g + 0*g + (-8 - 8 - 5)*(2*g - g + 0*g)) in the form s + h*g and give h. 132 Rearrange -w**3 + 0*w**3 - 2*w**3 + (4256*w - 1899*w + 2506*w)*(-2*w**2 - 3*w**2 + 3*w**2) to the form m*w**2 + n + k*w**3 + c*w and give k. -9729 Rearrange (-2 - 3*s + 2)*(7 - 56 + 10) - 16*s + 19 + 7*s + 11*s + 0*s + 2*s - s + (2*s - 3*s + 2*s)*(-1 - 3 + 2) to c + u*s and give u. 118 Rearrange -250*k + 8372*k - 2443*k + 5213*k to the form m + v*k and give v. 10892 Express 2*k + 3544*k**2 - 4*k + 2*k + 0*k as i*k + l + d*k**2 and give d. 3544 Rearrange -55*j**2 - 9 + 1209*j - j**2 + 6*j**2 + 5 - 1176*j to k + f*j + h*j**2 and give h. -50 Express -5373213 + 537
{ "pile_set_name": "DM Mathematics" }
*y**3 + 7/2*y**4 + 2 + 8*y + 1/2*y**5 + 25/2*y**2. (y + 1)**3*(y + 2)**2/2 Let n(s) be the first derivative of -s**5/80 + s**4/12 + 5*s**3/24 - 67*s + 61. Let p(w) be the first derivative of n(w). Solve p(d) = 0. -1, 0, 5 Find s such that 39*s**3 + 66*s**2 - 41*s - 115*s - 18*s**4 + 343228 - 343204 = 0. -2, 1/6, 2 Let u(o) be the third derivative of 5*o**8/336 + o**7/7 + o**6/2 + 5*o**5/6 + 5*o**4/8 + 918*o**2. What is y in u(y) = 0? -3, -1, 0 Let n(r) = -2*r**2 + 2*r + 1. Let p(k) be the third derivative of -k**5/6 - 29*k**4/12 + k**3 + 53*k**2. Let t(m) = -6*n(m) + p(m). Factor t(j). 2*j*(j - 35) Let u = -109 - -1211/11. Let k = 4415 - 48559/11. Factor k*g**4 + 0 + 0*g + u*g**2 + 18/11*g**3. 6*g**2*(g + 1)*(g + 2)/11 Let l = 3889 + -27213/7. Find f such that -8/7 + 8/7*f - 6/7*f**3 + l*f**2 = 0. -1, 2/3, 2 Suppose 4*q = 3*o + 36, -2*o = -22 + 38. Suppose 2/7*y**q - 2/7*y**2 + 0 - 4/7*y = 0. Calculate y. -1, 0, 2 Let k(p) be the third derivative of -p**6/40 - 8*p**5/5 + 35*p**4/8 + 33*p**3 - 3094*p**2. Factor k(n). -3*(n - 2)*(n + 1)*(n + 33) Let v(l) = 8*l - 2*l**2 - l + 11*l + 4*l - 6*l. Let n(u) = 12*u**2 - 80*u. Let k(f) = 3*n(f) + 16*v(f). Suppose k(m) = 0. What is m? -4, 0 Let r(k) be the first derivative of -2*k**5/3 + k**4/3 + 26*k**3/9 + 2*k**2 + 477. Solve r(i) = 0 for i. -1, -3/5, 0, 2 Let u(d) be the first derivative of d**3/3 - 6*d**2 + 32*d - 970. Factor u(s). (s - 8)*(s - 4) What is k in -156*k + 186*k + k**2 + 0*k**2 - 4*k**2 = 0? 0, 10 Let k(x) = -11*x + 331. Let f be k(31). Let s be 1/(-12 - f) + 9/2. Solve -6*y + 8/3 - 2/3*y**3 + s*y**2 = 0 for y. 1, 4 Suppose -2*l + 91 = -3*a, -l = a + 45 - 8. Let n be 12/a - (-4)/11. Find v, given that 2/5*v**2 - 2/5*v + n = 0. 0, 1 Let s = 4052796/5 - 810549. Solve -156/5 - 3/5*n**2 + s*n = 0 for n. 4, 13 Let w(g) = 11*g**3 - 1324*g**2 - 19968*g + 24572. Let i(q) = 19*q**3 - 1325*q**2 - 19968*q + 24571. Let y(l) = -4*i(l) + 5*w(l). Suppose y(p) = 0. What is p? -32, 8/7 Let d(n) = 3*n**2 - 16*n - 10. Let i be d(6). Factor -2*k**2 + 14 - 8*k**2 + k**2 - 4*k**i + 5*k + 12*k**2. -(k - 7)*(k + 2) Determine t so that -294*t**2 - 129654*t - 2/9*t**3 - 19059138 = 0. -441 Let p(f) = -38*f**2 - 1696*f + 361250. Let b(n) = -10*n**2 + n. Let t(h) = -4*b(h) + p(h). Factor t(o). 2*(o - 425)**2 Suppose -32 = 10*f + 22*f. Let c be 67/335 - 39/55*f. Factor 10/11*y**3 - c*y + 4/11*y**2 - 4/11. 2*(y - 1)*(y + 1)*(5*y + 2)/11 Let a(w) be the second derivative of 3*w**5/140 - 393*w**4/7 - 7912*w. Determine u so that a(u) = 0. 0, 1572 Let x(k) be the first derivative of -k**6/2880 - k**5/960 + k**4/96 + 23*k**3 - 13. Let q(n) be the third derivative of x(n). Factor q(p). -(p - 1)*(p + 2)/8 Let k(c) be the third derivative of -c**4/24 + 7*c**3/3 + 284*c**2. Let u be k(9). Determine d so that 0*d**2 + 0 + 11/3*d**3 + 2/3*d**u - 3*d**4 - 4/3*d = 0. -1/2, 0, 1, 2 Let m = 278 + -28081/101. Let p = 817/303 + m. Suppose s**3 - 11/3*s**2 - 2*s + p = 0. Calculate s. -1, 2/3, 4 Let s(k) = 2*k**3 + 18*k**2 + 52*k + 40. Let x(c) = c + 2. Let f(i) = s(i) - 4*x(i). Find j such that f(j) = 0. -4, -1 Let p(b) = -b + 48. Let v be p(-20). Let -4*g + 65*g**2 - 4*g**3 - 141*g**2 + v*g**2 = 0. Calculate g. -1, 0 Find q, given that 9 - 35*q**2 - 19*q**3 + 107*q + 52 + q**4 + 44*q**3 + 124*q**2 - 19 = 0. -21, -2, -1 Find r, given that -1/2*r**3 + 0*r + 3/8*r**4 + 1/8*r**5 + 0 + 0*r**2 = 0. -4, 0, 1 Let o = -653 + 659. Let -2*k + 4*k**2 + 6*k**2 - 120 - 26*k - o*k**2 = 0. What is k? -3, 10 Let i = -232 + 234. Factor -25*x**3 - 19*x - 36*x + 40*x + 1 + 51*x**i - 12*x. -(x - 1)**2*(25*x - 1) Let h(c) = 5*c**3 + 232*c**2 - 587*c + 431. Let f(z) = 2*z**3 + 116*z**2 - 298*z + 216. Let t(q) = 9*f(q) - 4*h(q). Suppose t(u) = 0. Calculate u. 1, 2, 55 Let u(a) be the first derivative of a**3/18 + 67*a**2/6 - 136*a/3 + 114. Factor u(w). (w - 2)*(w + 136)/6 Factor -116*f**3 + 84*f - 85*f + 117*f**3 - 31*f**2 + 4*f**2 + 27. (f - 27)*(f - 1)*(f + 1) Let v(z) = -z**2 - 10*z + 7. Let d be v(-10). Let w be (-93)/(-217) - (-1)/d. Factor 2/7*i + w*i**2 + 2/7*i**3 + 0. 2*i*(i + 1)**2/7 Factor -910/3 + 5/3*m**2 - 5/3*m. 5*(m - 14)*(m + 13)/3 Find h, given that 68*h**3 + 15*h - 73*h**3 + 40*h - 50*h**2 + 0 + 0 = 0. -11, 0, 1 Let d = -364 + 368. Factor -15 - 20*t**3 + d*t**4 - 6*t**4 + 14*t + 10*t**2 + 7*t**4 + 6*t. 5*(t - 3)*(t - 1)**2*(t + 1) Determine q, given that -4680*q**2 + 832*q + 8720*q**2 + 0 - 4*q**3 + 0 - 4868*q**2 = 0. -208, 0, 1 Let b(d) = 19 + 2*d + 5*d - 26. Let q be b(2). Suppose -4*c**5 + c**3 + q*c**2 - 8*c**4 - c**3 + c**2 + 4*c = 0. Calculate c. -1, 0, 1 Factor -4/3 - 2*x**3 - 14/3*x**2 - 2/9*x**4 - 38/9*x. -2*(x + 1)**3*(x + 6)/9 Let d(p) be the second derivative of -p**5/60 + 5*p**4/6 - 50*p**3/3 + 25*p**2 - p + 17. Let m(x) be the first derivative of d(x). Factor m(f). -(f - 10)**2 Let c be (-10)/(-70)*17397/9. Let w = 277 - c. Let -36/7*x**2 - w*x**5 + 2/7*x + 6/7 - 34/7*x**4 - 60/7*x**3 = 0. Calculate x. -3, -1, 1/3 Let q be (-3269)/(-35) + ((-72)/(-20) - 3). Let o = q - 646/7. Find x such that -24/7*x + 26/7*x**2 + 2/7*x**4 + 8/7 - o*x**3 = 0. 1, 2 Let v(x) be the first derivative of -18 - x**4 + 12/5*x**5 - 28*x**3 - 24*x + 50*x**2. Find g such that v(g) = 0. -3, 1/3, 1, 2 Let b be (-8)/(-4)*(-2625)/(-10). Let c be (-16)/(-6)*b/28. Find v, given that v**3 + 9*v**3 + 15*v**3 + c*v**2 - 15*v**4 - 100*v + 40 = 0. -2, 2/3, 1, 2 Let n(r) = -r**3 + 12*r**2 - 6*r + 5. Let t be n(11). Let h be 15/(-5)*(-50)/t. Factor h*k + 0 + 1/2*k**2. k*(k + 5)/2 Factor 38/11*v**2 + 1638/11*v + 172/11. 2*(v + 43)*(19*v + 2)/11 Let z(b) = b**3 + 2*b**2 - 3*b + 2. Let p be z(-3). Let i = 70 + -56. Factor -7*o**3 + 3*o**3 + 14 - i - 4*o**p. -4*o**2*(o + 1) Let z be 258/(-8) - 0 - (-144)/(-36). Let a = -36 - z. Solve t**3 + 0*t**4 - 3/4*t - 1/2*t**2 + 1/2 - a*t**5 = 0. -2, -1, 1 Let m(h) = 6*h**2 - 1. Let o be m(-3). Solve o*i**3 - 4*i**3 - 33*i**4 - 19*i**3 + 3*i**5 = 0 for i. 0, 1, 10 Let a(k) be the first derivative of -k**7/735 - 3*k**6/140 - 4*k**5/105 + 197*k**2/2 + 191. Let z(u) be the second derivative of a(u). Solve z(q) = 0. -8, -1, 0 Let l(z) be the second derivative of z**4/114 + 787*z**3/57 + 2352*z**2/19 - 3782*z. Find q, given that l(q) = 0. -784, -3 Let k(a) be the second derivative of a**4/6 + 76*a**3/39 - 12*a**2/13 + 22*a - 34. What is u in k(u) = 0? -6, 2/13 Let m(c) be the second derivative of c**6/15 - 7*c**5/6 - 100*c**4/9 - 140*c**3/9 + 64*c**2 + 2*c + 13. Suppose m(b) = 0. Calculate b. -3, -2, 2/3, 16 Factor -167931 - 6160*k + 170956 - 95*k**3 + 3246*k**2 + k**4 - 55*k**3 + 38*k**3. (k - 55)**2*(k - 1)**2 Let x(d) be the first derivative of 5*d**4/3 - 1616*d**3/9 + 640*d**2/3 - 9423. Suppose x(z) = 0. What is z? 0, 4/5, 80 Let n = -162361/7 - -23195. Solve 2/7*s**3 - 2/7*s - 4/7*s**2 + n = 0. -1, 1, 2 Let k(q) be the first derivative of 8*q + 1/6*q**3 - 113 - 2*q**2. What is u in k(u) = 0? 4 Let c(s) = 2*s + 16. Let m be c(-7). Suppose -m*o - 2*j = j - 36, 5*o + j - 90 = 0. Solve -o*q**2 - 20*q - 13*q**2 + 26*q**2 = 0. -4, 0 Solve -1/4*m**4 + 1/2*m**3 + 0 + 5/4*m**2 - 3/2*m = 0. -2, 0, 1, 3 Let t(r) = -10*r**2 + 2518*r + 7128. Let i(x) = -4*x**2 + 1010*x + 2851. Let g(h) = 12*i(h) - 5*t(h). Solve g(s) = 0. -3, 238 Suppose 2*y + j - 2 = 0, 3 = -5*j - 7. Let t be (-14 - -2)*y/(-6). Let 69/4*n**2 + 9/4*n**t - 21/2*n**3 - 12*n + 3 = 0. Calculate n. 2/3, 1, 2 Factor -17598*s**2 + 2*s**3 + 608*s - 4*s**3 + 1233*s + 391*s + 17828*s**2. -2*s*(s - 124)*(s + 9) Let x(k) = k**3 + 7*k**2 - 9*k + 6. Let c be x(-9). Let s = -59 - c. Factor 15*y**3 + 9*y**4 + 14*y**5 - 25*y**5 + 3*y**2 - s*y**5. -3*y**2*(y - 1)*(3*y + 1)**2 Suppose 3*w + 4*s = 18, -6*s + 11*s + 24 = 4*w. Factor 2*d**2 - 17*d**2 - 20 + 4*d**2 + 20*d + w*d**2. -5*(d - 2)**2 Suppose -7761*h = -7804*h + 129. Factor 0 - 1/3*n**2 - 1/9*n - 1/3*n**h - 1/9*n**4. -n*(n + 1)**3/9 Let w = 9417313/4301220 - -1/45276. Let h = -34/19 + w. Factor 2/5 - h*c**3 - 6/5*c + 6/5*c**2. -2*(c - 1)**3/5 Let y(u) = -2*u**2 + u - 1. Let l(f) = -9*f**2 - 2630*f - 885. Let p(a) = l(a) - 6*y(a). Factor p(z). (z - 879)*(3*z + 1) Factor 406 - 20*m**3 + 435*m + 316 + 100*m**2 + 26 - 388. -5*(m - 8)*(2*m + 3)**2 Let c(o) be the first derivative of 5*o**4/4 + 240*o**3 - 1455*o**2/2 + 730*o + 1768. Find r
{ "pile_set_name": "DM Mathematics" }
without replacement from {c: 2, a: 1, v: 1, g: 2, y: 1, w: 1}. Give prob of picking 1 y, 1 v, 1 g, and 1 w. 1/35 Four letters picked without replacement from mbffbmfbbbbfbbbfmmbf. What is prob of picking 2 b and 2 f? 45/323 Three letters picked without replacement from {j: 5}. Give prob of picking 3 j. 1 What is prob of picking 2 b and 1 t when three letters picked without replacement from tnnbb? 1/10 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from krdynyaaydrradnda. 3/34 What is prob of picking 1 g and 1 j when two letters picked without replacement from {y: 2, g: 5, z: 2, j: 3}? 5/22 Two letters picked without replacement from {y: 7, q: 6, c: 5, e: 1}. Give prob of picking 2 c. 10/171 Two letters picked without replacement from vqvqstssvvaqsf. What is prob of picking 1 s and 1 t? 4/91 Two letters picked without replacement from {m: 10, o: 6, s: 4}. What is prob of picking 1 s and 1 o? 12/95 Calculate prob of picking 1 z, 1 k, and 2 r when four letters picked without replacement from rrkroozkkzrn. 4/55 Four letters picked without replacement from wnwzznnz. Give prob of picking 1 z and 3 n. 3/70 Four letters picked without replacement from rrrrrrbr. What is prob of picking 3 r and 1 b? 1/2 Three letters picked without replacement from nolgwjl. Give prob of picking 2 l and 1 o. 1/35 Four letters picked without replacement from {v: 2, k: 3, j: 10}. Give prob of picking 3 j and 1 v. 16/91 Four letters picked without replacement from {i: 1, r: 5, f: 11}. What is prob of picking 3 f and 1 r? 165/476 Three letters picked without replacement from appzbcb. What is prob of picking 1 b, 1 z, and 1 p? 4/35 Two letters picked without replacement from {x: 4, a: 1, l: 2}. What is prob of picking 2 l? 1/21 What is prob of picking 2 b and 1 k when three letters picked without replacement from lbickbc? 1/35 Two letters picked without replacement from gtgkggggkktkgtt. What is prob of picking 2 g? 1/5 Calculate prob of picking 2 z when two letters picked without replacement from {w: 4, o: 1, z: 5}. 2/9 Three letters picked without replacement from {s: 4, e: 1, p: 5, r: 6, t: 4}. What is prob of picking 1 r, 1 e, and 1 t? 2/95 Four letters picked without replacement from lbfrfbfbrrururfrufbu. What is prob of picking 2 u, 1 b, and 1 f? 8/323 What is prob of picking 3 a when three letters picked without replacement from aiiiaiiaiaaaiaaiaaii? 2/19 What is prob of picking 2 e when two letters picked without replacement from {d: 1, e: 2}? 1/3 Three letters picked without replacement from {j: 5, k: 8}. What is prob of picking 3 j? 5/143 Two letters picked without replacement from {v: 1, s: 9, k: 2, f: 7, t: 1}. Give prob of picking 1 v and 1 s. 9/190 Four letters picked without replacement from {b: 5}. What is prob of picking 4 b? 1 Three letters picked without replacement from hxhxdhxhhbhbbbxb. What is prob of picking 3 x? 1/140 What is prob of picking 1 n and 1 y when two letters picked without replacement from snssrsmymrmf? 1/66 What is prob of picking 1 e and 2 b when three letters picked without replacement from ekebebbkkbkbk? 15/143 Two letters picked without replacement from xvvxvxxvvuxxvxvxvu. Give prob of picking 2 u. 1/153 Three letters picked without replacement from {t: 11, b: 9}. What is prob of picking 2 b and 1 t? 33/95 Calculate prob of picking 3 m when three letters picked without replacement from {m: 11, w: 3}. 165/364 Four letters picked without replacement from {u: 3, t: 1, r: 8, x: 4, w: 1}. Give prob of picking 2 u, 1 w, and 1 x. 3/595 Calculate prob of picking 1 p and 2 y when three letters picked without replacement from zyzyzzyzppyyyyyyyz. 15/136 Two letters picked without replacement from {p: 9, f: 2}. What is prob of picking 2 f? 1/55 Four letters picked without replacement from wwwww. Give prob of picking 4 w. 1 Calculate prob of picking 2 r and 1 k when three letters picked without replacement from krkrkrkrkkrrrk. 21/52 What is prob of picking 1 i and 3 s when four letters picked without replacement from issis? 2/5 Three letters picked without replacement from {u: 1, i: 3, w: 2, c: 1, o: 10}. Give prob of picking 3 i. 1/680 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, h: 1, d: 2, r: 6, t: 1}. 1/220 Calculate prob of picking 2 t and 1 b when three letters picked without replacement from btfbt. 1/5 Calculate prob of picking 1 o and 2 t when three letters picked without replacement from xocttcoooxxxccooxo. 7/816 Two letters picked without replacement from {k: 1, e: 4, s: 5, n: 1, y: 2, t: 2}. What is prob of picking 1 e and 1 n? 4/105 Four letters picked without replacement from fyttttrffrtry. Give prob of picking 3 f and 1 t. 1/143 Two letters picked without replacement from kbbclbbbdk. Give prob of picking 1 d and 1 b. 1/9 Calculate prob of picking 2 d when two letters picked without replacement from odoodo. 1/15 Two letters picked without replacement from kkbba. What is prob of picking 2 k? 1/10 Four letters picked without replacement from {c: 1, h: 2, o: 1, y: 2, l: 2, u: 1}. Give prob of picking 1 u, 1 y, 1 o, and 1 c. 1/63 Calculate prob of picking 2 t and 1 i when three letters picked without replacement from mtttibttm. 5/42 Calculate prob of picking 1 p, 1 b, and 1 y when three letters picked without replacement from cybbppypby. 9/40 Two letters picked without replacement from {c: 3, b: 3, t: 1, m: 2, i: 1}. Give prob of picking 2 i. 0 Three letters picked without replacement from kkkkkkkkkekkk. Give prob of picking 3 k. 10/13 Two letters picked without replacement from {b: 1, w: 1, o: 2, g: 2}. What is prob of picking 2 g? 1/15 What is prob of picking 1 o, 1 g, and 1 p when three letters picked without replacement from {g: 3, b: 1, e: 6, p: 5, y: 3, o: 1}? 5/323 What is prob of picking 1 d, 1 x, and 1 o when three letters picked without replacement from {o: 2, i: 4, d: 1, x: 1}? 1/28 What is prob of picking 2 z when two letters picked without replacement from nzz? 1/3 What is prob of picking 2 j and 2 i when four letters picked without replacement from jiiijiiiij? 3/10 Three letters picked without replacement from eereerer. What is prob of picking 1 r and 2 e? 15/28 Two letters picked without replacement from {b: 12, l: 1}. What is prob of picking 2 l? 0 Two letters picked without replacement from qppnpndtqqq. What is prob of picking 1 d and 1 q? 4/55 Calculate prob of picking 1 h, 1 b, and 1 m when three letters picked without replacement from {m: 4, c: 2, b: 5, h: 2}. 20/143 Two letters picked without replacement from jccjjmt. What is prob of picking 1 c and 1 j? 2/7 Calculate prob of picking 1 f, 1 a, and 1 g when three letters picked without replacement from varpafgvrpvf. 1/55 Calculate prob of picking 1 l, 1 k, and 1 f when three letters picked without replacement from {k: 3, l: 2, s: 4, n: 1, f: 1}. 2/55 Two letters picked without replacement from fxiipikipxx. What is prob of picking 1 p and 1 i? 8/55 What is prob of picking 1 d and 1 e when two letters picked without replacement from dlel? 1/6 Four letters picked without replacement from ffffffjfjffj. What is prob of picking 4 f? 14/55 Three letters picked without replacement from {v: 2, f: 3, h: 1, q: 10}. What is prob of picking 3 f? 1/560 What is prob of picking 1 u and 2 b when three letters picked without replacement from buuuubu? 1/7 Two letters picked without replacement from yyppylxxps. What is prob of picking 1 s and 1 x? 2/45 Four letters picked without replacement from {h: 6, p: 1, i: 1, o: 2, x: 3, a: 2}. What is prob of picking 2 h, 1 a, and 1 i? 2/91 What is prob of picking 1 z, 1 t, 1 c, and 1 a when four letters picked without replacement from tacaukz? 2/35 Four letters picked without replacement from {v: 5, t: 2}. What is prob of picking 1 t and 3 v? 4/7 Two letters picked without replacement from nbbbnnbb. Give prob of picking 2 b. 5/14 What is prob of picking 4 w when four letters picked without replacement from {w: 6, s: 12}? 1/204 Four letters picked without replacement from rnnyyyyanaraynnd. Give prob of picking 1 a, 1 r, and 2 n. 3/91 Two letters picked without replacement from {a: 1, t: 1, r: 2, w: 4, y: 3}. What is prob of picking 1 y and 1 r? 6/55 Three lette
{ "pile_set_name": "DM Mathematics" }
/120. Let w = d + h. Find the common denominator of w and -99/82. 410 Suppose 0 = -j + d + 12, -34*j = -31*j + 3*d - 36. What is the least common multiple of j and 554? 3324 Let d be (-222)/(-8)*(-876)/18. Let o = d + 1319. Let j = -3255673/68 + 47879. Find the common denominator of o and j. 68 Let k = 34/7 + -115/21. Calculate the common denominator of k and (2/4 + (-145)/(-58))/(207/(-92)). 21 Let h = 84 - 70. Calculate the lowest common multiple of 48 and (44/(-8))/((-7)/h). 528 Let q = -4953/8 - -616. Calculate the common denominator of -5/2364 and q. 4728 Let w = -485 + 720. Find the common denominator of ((-4559)/w)/(-1 - (-493)/(-5)) and 67/16. 3984 Let h = -125407673/1218 - -102962. Find the common denominator of -13/210 and h. 6090 Let o be (32/48)/((-4)/3756). Let d = -601 - o. What is the lowest common multiple of d and 30? 150 What is the common denominator of (849/(-285) - -3)*(12 + 4485/(-270)) and -103/1140? 3420 Let o = 9 - -40. Suppose -7*c + 6*c - 4*u + 28 = 0, -5*u + o = 3*c. Calculate the lowest common multiple of c and 2. 8 Suppose 1781 + 2389 + 69036 = 249*v. Calculate the least common multiple of 24 and v. 1176 Suppose 25 + 25 = m. Let t(g) = -g**3 + 18*g**2 - 58*g + 757. Calculate the least common multiple of t(17) and m. 300 Let f be (-294)/(-18) - (-2)/(-6). Let z = -2 + f. Suppose -x = -4*q - 22, 6*q = 5*x + 11*q - 10. Calculate the least common multiple of x and z. 42 Let v = -970/91 - 64/455. What is the common denominator of 126/20*(-1)/10 and v? 100 Let s = 163215711391697849508419/11156104 - 14630171195221759. Let m = s - -40/60631. Let d = -15/184 - m. Calculate the common denominator of -73/4 and d. 4 Let a = -366 - -372. Suppose 150 + 48 = a*y. What is the lowest common multiple of 9 and y? 99 Suppose 2*d + 3*v = -v + 12, 6 = 3*v. Let a be 1 + 4/d + (-14)/14. What is the smallest common multiple of 1 - (a - 3)*1 and 90? 90 Let p = 5623 + -5546. Suppose 305 = -5*x - 5*u, 4*x - 6*u = -2*u - 228. Let c = p + x. What is the smallest common multiple of c and 12? 36 Suppose 2*d + 28 = 70. Suppose d*g = 18*g + 105. Let s = -105/2 + g. Find the common denominator of s and -47/2. 2 Let t(v) = -13*v - 11. Let g be t(-1). What is the common denominator of g/(-7) - 201/42 and 8/7? 14 Let y = 16 - 20. Let h(r) = -r**3 + 12*r**2 - 22*r + 20. Let m be h(10). What is the lowest common multiple of (12 + y)*((m - -3) + -2) and 7? 56 Suppose 22*l + 52 = 1746. Calculate the smallest common multiple of l and 203. 2233 Let d = -18486/19 - -3658309/3762. What is the common denominator of d and 28/75? 4950 Suppose -555 = -n + w, 24*n + 3*w - 2199 = 20*n. What is the lowest common multiple of 75 and n? 13800 Suppose -139 = -5*a - 2*g + 5*g, -5*a = -g - 143. Let v be ((-35)/(-4))/((-6)/(-24)). Let k = v - a. What is the lowest common multiple of k and 22? 66 Let m be -6*10/(-15)*-1. Let n be 125448/66*(-1)/m. Let o = n + -477. Calculate the common denominator of o and 38/5. 55 Suppose y - 625 + 254 = -5*j, 0 = 5*j - 17*y - 443. Calculate the smallest common multiple of j and 1650. 1650 Suppose -y - d - 11 - 59 = 0, 2*y = 5*d - 147. Let n = -5595 - -22435/4. Calculate the common denominator of n and y/(-190) + 10/(-50). 380 Calculate the least common multiple of 20/((-8 - -5 - 7)/(-4)) and 2. 8 Let q be 46/14 + 8/(-28). Suppose 3*b = -5*j + 142, 3*b + q*j + 0*j = 138. Suppose -4053 = -370*p + 387. Calculate the lowest common multiple of p and b. 132 Suppose -32*n = 29*n - 366. Let c = 3 - 5. What is the lowest common multiple of n and -8*(7/(-2) + c)? 132 Let q be (-1 + -1)/((-4)/9). Let j = -25/7 - 25/42. Let m = q + j. What is the common denominator of m and 1/12? 12 Let f = 1654 + -1425. Calculate the lowest common multiple of f and 10. 2290 Let t(v) = -2*v**3 + 9*v**2 + v + 1. Let f be t(5). What is the common denominator of 47/6 and (f - -33)*(-7)/108? 54 Let g(a) = 2 + 16*a - 34*a + 0*a + 5*a**2 - 6*a. Calculate the lowest common multiple of g(6) and 6. 114 Let t(y) = -81*y - 78. Let h be t(-1). Let k(c) = -c - 20. Let r be k(0). Calculate the common denominator of -15/58 and (-114)/r - 0 - h. 290 Let c = -7061 - -127055/18. What is the common denominator of c and (4/56*-6)/((-8)/(-60))? 126 Calculate the common denominator of -10/693 and ((-35)/105)/(9163/84). 11781 Suppose y + 17 = 2*x, -y - 2*x = -3*y - 38. Calculate the common denominator of 39/70 and 46/7 - y/21. 70 Find the common denominator of -47/27 and (0 - 18631)*77/240009 - 6/(-1). 28053 Suppose -9090 + 930 = -4*f. What is the common denominator of (3/2 + 0)/((-748)/f) and -99/8? 88 Let f = 711293/2516752 + -597/1954. What is the common denominator of -89/4 and f? 2576 Let u = -7/47 + -5953/7050. Calculate the common denominator of u and -73/1290. 6450 Let f = -1175 - -650. Calculate the common denominator of f/36 + 28/(-16) + 2 and 25/21. 21 Let c = -48 - -83. Let d = c - 30. Suppose v - 3*r - 9 = 0, -57 = -d*v + 3*r - 0*r. Calculate the smallest common multiple of 3 and v. 12 Find the common denominator of (-252)/(-73920)*(-148)/(-24)*3 and 81/968. 19360 Suppose -61*u + 7*u + 1080 = 0. Calculate the lowest common multiple of 10 and u. 20 Suppose 13458*n - 13437*n = 19530. What is the lowest common multiple of 558 and n? 2790 Suppose y + b + 1 = 0, 5*b - 20 = 5*y + 15. Suppose -4*c + 3 = -0*c + 5*x, 0 = 2*x + 2. Find the common denominator of c/7 + (y + 2)*2 and -77/8. 56 Let f = 770520 - 1047907111/1360. Calculate the common denominator of f and -73/28. 9520 Let l be (-19 - (1 + -1)) + 1. Let z(u) = u**3 + 65*u**2 + 128*u + 261. Let t be z(-63). What is the smallest common multiple of 3 and 12*(t/l)/(2/(-1))? 45 Suppose -6*w = -73 - 65. Let d = 45 - w. Calculate the lowest common multiple of d and 2. 22 Calculate the common denominator of (-106)/(-45) + (-5 - -2) and ((-8)/6)/(4/6) + 1666/770. 495 Suppose -6245 - 5221 = 959*h - 972*h. What is the lowest common multiple of 686 and h? 6174 Suppose -124 = 4*c - c + z, 132 = -3*c + 3*z. Let x = c + 50. Calculate the common denominator of (-31)/4 + x + (-90)/56 and 27/14. 14 Suppose 45*z + 850 = 1030. What is the lowest common multiple of z and 47092? 47092 Find the common denominator of -109/42 and (130/570)/((-24)/48). 798 Suppose 5*b = 4*b. Calculate the least common multiple of 3 + b - (-4 - 1) and 42. 168 Suppose 0 = 7*w + 19*w - 2496. Let b = w - 83. Calculate the smallest common multiple of b and -1 - -11*(0 - -1). 130 Let r = 9143/684 + -623/38. What is the common denominator of r and (1 + (-664)/(-144))*(-3)/7? 252 Let v(c) = c - 39. Let u be v(-15). Let w be ((-12)/(-9))/(8/u*-3). Suppose -w - 21 = -2*s. Calculate the least common multiple of s and 14. 84 Let r be (40/6)/(5/45). Let d = r - 449. Let u = -753/2 - d. Find the common denominator of u and 8/29. 58 Let m = -3708 - -3713. What is the lowest common multiple of m and 638? 3190 Suppose 0 = -49*m + 55*m - 66. Suppose -7*n + 9*n - 18 = 0. What is the lowest common multiple of n and m? 99 Let d(z) = -z**3 - 16*z**2 + 6*z - 24. Let v be d(-16). Let l = v - -164. Find the common denominator of 25/38 and (-2)/6*102/l. 418 Let j = -661965/338 - -3917/2. Let b = j - -1571/12168. What is the common denominator of (-16)/(-40) - (-242)/(-180) and b? 72 Let f = 2143309/66 + -32473. Find the common denominator of (-172)/120 - (-5 + 2) and f. 330 Let q be (-11)/55 + 431/5. Suppose -q*r + 91*r = 0. Suppose r = 5*t + 2*s - 26, -5*t + 20 = -s + 6*s. Calculate the least common multiple of 102 and t. 102 Let i = 22554 - 496299/22. Calculate the common denominator of (22/15)/(32/220) and i. 132 Find the common denominator of 567/(-10440) - -9 - 9 and 99/1160. 1160 Let v(k) be the second derivative of k**4/12 + 11*k**3/6 + 27*k**2/2 + 4*k + 4. Calculate the least common multiple of v(-8) and 6. 6 Let q = -620/43 + 78371/5504. Calculate the common denominator of -121/320 and q. 640 Calculate the least common multiple of 25 and (-684)/30*(-21025)/58. 41325 Suppose 4*b = 3*j - 171644, b = -j - 1164 - 41754. Let c = b - -3089921/72. What is the common denominator of 91/60 and c? 360 Suppose 0 = 10*m - 17*m + 14. Calculate the common denominator of 24/5 and (1/m)/(10/25). 20 Let h(z) = -8*z - 7*z - 10*z + 94 - 11*z**2 + 10*z**2 + 6*z**2 - z**3. What is the smallest common m
{ "pile_set_name": "DM Mathematics" }
(-75)/(-21))/(8/28). Solve m = -5*n + w, -6*n + 4*w = -2*n + 8 for n. 0 Let i = -356 - -359. Solve 11 = -3*v + 4*r, -3*v - 3*r - 21 + i = 0 for v. -5 Let x = -10 - -13. Let b be -4 + 1/x*3. Let u be b/7 + (-1022)/(-98). Solve 2*g - u = k, 2*k - 10 = -2*g - 0 for g. 5 Suppose -2 - 328 = -22*o. Solve -p - p + 4 = 2*b, o = -5*p for b. 5 Let z be 40/9 + 200/(-450). Solve b + 3 - z = -i, 2*i - 2*b - 10 = 0 for i. 3 Suppose 15 = 3*v - 3*n, 4*v = 6*v - 4*n - 20. Suppose v = -2*u - 3*u + 50. Solve -2*y + 5*y = 3*m - 18, -5*m = -y - u for m. 1 Let b be (-15)/(-9) + 2/6. Suppose -3*p = 2*p + b*t - 54, -p + 27 = -5*t. Let k = p - 10. Solve -q + k*u = -9, 4*q - 2*q - 5*u - 23 = 0 for q. -1 Suppose 0 = 3*x + x - 72. Suppose -6 = 4*g + y - x, -12 = -4*g - 4*y. Solve -5*a + g*q - 12 = 0, 2*q - 20 = 3*a - 3*q for a. 0 Let b(r) = 10*r - 66. Let w be b(14). Let g = w + -62. Solve 0 = -3*y - 4*c + 8, -2*y + c + g = 5*c for y. -4 Let j be (-2)/17 + (-636)/(-204). Solve -z - 5*r + 12 = -5, -j*z - 9 = -5*r for z. 2 Let h be -4*(79/(-4) + 1/4). Let l = 81 - h. Solve 5*q - 2*i + 5*i = 35, -4*i + 32 = l*q for q. 4 Let g(l) = l**3 + 11*l**2 - 13*l + 6. Let r be g(-12). Let k = r - 18. Solve 4*d - c + 25 = k, 0*d = -4*d + 3*c - 35 for d. -5 Let z = -30 + 27. Let m be z/(-2)*4/3. Solve -5*t + m*b - 5*b = 15, 5*b + 25 = 5*t for t. 0 Let r = 0 - -4. Suppose 12*u - 15*u + 63 = 0. Suppose 3*i + 6 = u, -5*x - 4*i = -60. Solve -3*b + 16 = -5*q, r*b + 2 = 3*q - x*q for q. -2 Let j(g) = -7*g**3 + g**2 + 2*g + 2. Let l be j(-1). Suppose l*v + 6 = 11*v. Solve -v*h - 14 = 3*s - 0, 4*h = -16 for s. -2 Let o be -3*(4/10)/((-2)/(-5)). Let j be (-10)/(o*12/18). Solve 0*m - 35 = 4*m - 5*g, m = j*g - 20 for m. -5 Suppose 9 - 21 = 4*z. Let h be z + 4/(-4) + 13. Solve 3*p - d + 2 = h, 0 = p - 3*d + 11 for p. 4 Suppose 0*s + s - 5 = 0. Suppose b - 18 = -s*b. Let r = 16 + -11. Solve -4*q = -r*o, 0*q + 5*q + 37 = -b*o for q. -5 Suppose -2*y - 3*y - 5*p = -45, 3*p - 11 = y. Solve 5*x - 5 = 3*v, x + 1 = 2*x + y*v for x. 1 Let j(k) = k**3 - 2*k**2 + k. Let c = -5 + 7. Let u be j(c). Suppose 19 = 2*a + a - 2*t, u*a - t - 11 = 0. Solve 16 = b - 3*s, -a*b - 9 = 5*s + 13 for b. 1 Suppose -f + 5*d + 12 = 0, 0 = 5*f + 3*d + 1 - 5. Suppose -5*n - 71 = 24. Let a be n/(-4) - (-65)/52. Solve 5*c = o - 3, 3*o - f*c = -a*c - 10 for o. -2 Suppose -2*n - 88 = 3*o + 42, -5*o = -2*n - 98. Let a = -55 - n. Solve c + 0 = -5*l - 7, -a*l - 5*c + 7 = 0 for l. -2 Let x = -3 - -7. Suppose -1 = -3*i - 2*h + 5, -31 = -x*i + 5*h. Solve 5*z + i*s + 7 = -2, s + 11 = -3*z for z. -5 Let q(v) = 9*v - 27. Let y be q(3). Solve 0 = 4*l, y = -3*g - 3*l + 2 + 4 for g. 2 Let r = -191 - -194. Solve -7 = 2*v - 4*d - 19, 0 = r*d + 15 for v. -4 Suppose 0 = -5*x + 23 + 2. Solve -4*w + 4*a = 0, -w + 41 - 11 = x*a for w. 5 Suppose 5*x - 4*t = 3*x + 12, -3*x + 36 = 3*t. Solve x*p = -4*z + 7*p - 3, 0 = -3*z - 3*p - 6 for z. 3 Suppose 6*i = 3*i + 6. Suppose -3*p - 4 = -4*p. Suppose 0 = -p*j - 3 + 11. Solve d = i*y, 2*d - 3*y = -j*d for d. 0 Suppose 5*n + 311 = -189. Let z = n - -102. Let k(h) = -h. Let a be k(-5). Solve 0 = 4*o + x - z*x + 3, 0 = -3*o + a*x + 2 for o. -1 Let z(k) = -29*k - 20*k**2 - 9 + 7*k**2 + 19*k - 2*k**3. Let n be z(-6). Solve -5*b + 16 = -2*p, -2*b + 3*p = b - n for b. 2 Suppose -2*z = -2 - 8. Suppose 9*x - 4*x - 20 = 0. Suppose q + 1 = y - x, 5 = y - 3*q. Solve 0 = -z*v + 25, -p - 17 = 3*p - y*v for p. 2 Suppose -2*n + 8 = 5*a - 3, 2*a - 6 = 0. Let x be 0/(2 - n - 6). Solve 5*g - 11 = l, -3*g + 11 = -5*l - x*g for l. -1 Let o(d) = d**3 - 6*d**2 + 11*d - 5. Let z be o(5). Solve -8 = -u + 4*b, 2*b = 4*u - z + 7 for u. 4 Suppose -11 = -2*i - 1. Suppose -7*n - 3 = -38. Solve -t = -5*u + 4*t + 5, -4*t - n = -i*u for u. 1 Let t(j) = j**3 + 11*j**2 + 10*j + 4. Suppose -2*g + 11*g = -90. Let s be t(g). Let v be 1 + 2/2 + 3. Solve 5*r = -v*d - 15, s*r = 8*r for d. -3 Let p(x) = x**3 - 5*x**2 - 6*x + 5. Let l be p(6). Solve -l*u = -4*k, -u + 0*k - 2*k = 14 for u. -4 Let a be ((-6)/(-5))/((63/10)/21). Solve 0 = -3*o + 5*c + 25, a*o + c - 3 = 3*o for o. 5 Let m(i) = i**3 - 6*i**2 + 11*i - 7. Let p be m(4). Solve -3*q = 4*y + 3, p*y + 4*q = q for y. 3 Let j = -265 + 269. Solve 0*q = 5*t - j*q - 27, q = 4*t - 15 for t. 3 Let f = 1 - -14. Let o be 5/(f/(-12)) - -15. Suppose 15 = 16*z - o*z. Solve -2*g + z*y = -7*g + 2, -y - 6 = 5*g for g. -2 Suppose -2 = 2*v - 92. Let g = v - 31. Solve z - 1 - 25 = -5*t, 2*t = -4*z + g for t. 5 Let q = 3 - 3. Suppose 5*s - 6 = -k - q, 2*k = 3*s - 14. Suppose -7 = -2*l + 3. Solve 3*x - 2*u - 3 = 0, l*x = -4*u + s*u + 5 for x. 1 Let w(o) = o**3 - 27*o**2 - 91*o + 34. Let k be w(30). Solve k*n + 22 = m - 2*m, -5*n - m = 27 for n. -5 Let j be (-20)/8*(-4)/5. Solve j*c - 25 = 3*x, -3*x - 4*c + 5 + 0 = 0 for x. -5 Suppose -4*y = -8 - 8. Suppose 3*o = -p + 50, 3*o - y*p = 6*o - 47. Solve 5*f + j - 3*j - o = 0, -f + 25 = 5*j for f. 5 Let j(k) = -3*k**2 + 45*k + 29. Let s be j(15). Solve -w - 1 = u - 5*w, 4*w = -5*u - s for u. -5 Let w be (-24)/9*(-3)/1. Suppose q - 5*q + w = -4*r, -3*r = -2*q + 2. Let g be -4*1*r/(-4). Solve 0 = h - n, 4*h - 5*n + g*n = 3 for h. 3 Let q(h) = h**3 + 11*h**2 - 12*h - 4. Let g be q(-12). Let x be g/(0 + -4)*3. Solve 0 = 3*w - 6 - x, -3*a - 3*w + 24 = 0 for a. 5 Let s = 54 + -16. Let g = s - 38. Solve -2*y - 3*l + 4 = g, 5 + 5 = 5*y + 4*l for y. 2 Suppose o + 3 - 5 = -k, 0 = -o - 5*k - 10. Solve -p + 0*d + 4 = o*d, 3*p + d - 12 = 0 for p. 4 Let g(u) = -6*u - 3. Let f be g(-3). Let j be (152/133)/((-8)/28). Let n be 4/j + -1 + f. Solve -p + n = -4*p - 5*k, 41 = 4*p - 5*k for p. 4 Let j be (32/(-20))/((-6)/15). Let x = 54 + -52. Solve o + 4*o + 16 = -z, o = -x*z + j for z. 4 Let n be (-27)/90 + (-86)/(-20). Solve 0*a - n*a + 5*b = -1, -a + 4 = -5*b for a. -1 Suppose -7*y + 158 = 319. Let m(d) = d**2 + 7*d - 3. Let t be m(-6). Let p = t - y. Solve -p = -5*b + 2*w + 6, -w = 4*b - 3 for b. 2 Let j(r) = -r**3 - 3*r**2 + 5*r - 5. Let h be j(-5). Suppose -7*k + h = -2*k. Suppose 3*w = 4 + 5. Solve w*o + 4*q - 12 = 7*o, -2*o + k*q = 6 for o. -3 Let p = 0 - 0. Let l(r) = -r + 20. Let f be l(p). Let d be 8/12 - f/(-6). Solve -d*b + 13 = 5*k, -k = -4*k - 3*b + 9 for k. 1 Suppose 3*m - 25 = -4*c, 65*m - 70*m - c + 19 = 0. Solve -5*s - 5*w - 5 = 0, -2*s - 2*w - 8 = -m*s for s. 2 Let k(i) = i**2 - 30*i + 130. Let r be k(25). Solve 0 = r*g + z + z - 2, 3*g + 2*z + 2 = 0 for g. 2 Let h = -36 - -41. Suppose o = h*n - 4*o - 15, 0 = -5*n - 3*o - 9. Solve 3*g = -l - 5, 4*g + n = 2*l - 20 for l. 4 Let h(u) = u**2 + u - 1. Let a(j) = -5*j**2 - 19*j + 18. Let k(s) = -a(s) - 4*h(s). Let r be k(-16). Solve -c - 4*z - 20 = z, -4*z - 30 = -r*c for c. 5 Let p be ((-1)/(-4))/(5 - 195/40). Let y be 6 + (p - (-1 + (3 - -1))). Solve y*m - k + 10 + 1 = 0, -5*k - 29 = 3*m for m. -3 Let t(q) = q**2 - 3*q + 14. Let d be t(3). Let z(n) = n**2 - 11*n - 34. Let i be z(d). Solve i = -0*w + w - r, -22 = -2*w + 4*r for w. 5 Let n(y) = -1 + 4 - 237*y + 233*y + y**2. Let z be 3*(0 + 8/6). Let q be n(z). Solve 0 = -5*j + q*o - 0*o - 19, -2*o + 2 = 2*j for j. -2 Let x(v) = v**2 + 7*v + 7. Let m = -2 - 4. Let o be x(m). Let s(w) = 20*w**2. Let d be s(1). Solve -2*p - j + o = 0, -5*p = -3*j - 6 + d for p. -1 Let f(i) = -3*i**2 + 230*i + 80. Let z be f(77). Solve -53 = -4*r - z*m - 22, 15 = 3*m for r. 4 Let g(j) = -4*j**3 + 8*j + 12 - 3*j**3 + 8*j**3 - 10*j**2. Suppose 4*l - 8*l + 36 = 0. Let a be g(l). Solve -2*u - a*u = -2*k - 8, -5*k - 20 = -4*u for u. 0 Let p(s) = -12*s + 182. Let m be p(15). Solve -14 = -d - m*a - 8, 3*d + 2*a - 10 = 0 for d. 2 Suppose 0*g - 10 = -2*g. Let r be (-9 + g)*(-2)/4. Suppose 0*c - 25 = -5*z - 3*c, -5 = -z + r*c. Solve -4*k + z*w + 28 = 9, -2*k + 3*w + 11 = 0 for k. 1 Suppose -o = 160 - 175. Solve 5*s = -2*w + o, 2*s + 2 + 1 = w for s. 1 Let o be 14/(-6) + 2/(-3). Suppose -10 - 11 = -2*r + 3*d, -20 = 4*d. Let a = o + r. Solve a = 4*i + 8, -2 = -2*n - 2*i - 0 for n. 3 Suppose 5*d = -2*u - 75, 3*u - 2*d + 33 = -70. Let a = 39 + u. Solve 3*x + 31 = 4*w, x - a*w + 13 = -2*w for x. -5 Suppose -42 = -y - 2*y. Suppose 2*k + 10 = -3*k, 4*f - k - y = 0. Solve f*l + 4 = 4*n + 19, 7 = -4*n - 5*l for n. -3 Let c = -390 + 394. Solve 4*w + w + c*v - 18 = 0, 3*v + 2 = 4*w for w. 2 Let a(g) = -g - 18. Let
{ "pile_set_name": "DM Mathematics" }
- 420*c**2*v Find the first derivative of -3*q*u*y + 124*q*y + 8*u*y - 4*u - 3 wrt q. -3*u*y + 124*y What is the second derivative of -288*q**5 - 25*q - 2 wrt q? -5760*q**3 What is the third derivative of -3*d**4*h*r - d**4*r - 15*d**3*h**3*r + d**2*h**3*r - d**2*h**3 + d*h**2*r wrt d? -72*d*h*r - 24*d*r - 90*h**3*r Differentiate 2827*y**4 - 4*y**3 - 21354. 11308*y**3 - 12*y**2 Find the third derivative of -5649*r**4 + 2*r**2 + 166. -135576*r What is the second derivative of -19*i**3*m - 2*i**3 + 46*i**2*m + i**2 - 2*i*m - i + 7*m - 1 wrt i? -114*i*m - 12*i + 92*m + 2 What is the derivative of 175*a**3 + 169? 525*a**2 Find the second derivative of 136*d**5 + 213*d - 1 wrt d. 2720*d**3 What is the third derivative of -9216*a**5 + 10617*a**2? -552960*a**2 Find the third derivative of -23*s**4 + s**3 + 1453*s**2. -552*s + 6 Find the third derivative of -916*x**6 + 2410*x**2 wrt x. -109920*x**3 What is the third derivative of -3*h**3*j**3 - 2*h**3*j*n + 56*h**3*n + 2*h**2*j**2*n + 5*h**2*j*n - 46*h**2*j - 2*j**3 wrt h? -18*j**3 - 12*j*n + 336*n What is the first derivative of 9*b**2*f*v + b**2*f + 463*b**2 - b*f*v + 3*b*f - 14*f*v - 2*v + 2 wrt v? 9*b**2*f - b*f - 14*f - 2 Find the second derivative of 43*b*j**2 - b*j - 2*j**2 - 24*j wrt j. 86*b - 4 What is the derivative of 7*g**2*q + 18*g*q**2 + g + 2*q**2 + 677 wrt g? 14*g*q + 18*q**2 + 1 What is the derivative of -2*d**2*j**3 - 495*d**2*j**2 + d**2*j - 162*j**3 + 33*j wrt d? -4*d*j**3 - 990*d*j**2 + 2*d*j Find the first derivative of -1124*l*r**3*s - 2*l*s**2 - 4*r**3*s + 5*r*s**2 - 6*r wrt l. -1124*r**3*s - 2*s**2 What is the second derivative of 118*b**3 + 2*b + 18? 708*b Find the second derivative of 4*g**5*k + g**4*k - 8*g*k - 2*g + 2*k wrt g. 80*g**3*k + 12*g**2*k What is the third derivative of 485*l**4 - 68*l**2? 11640*l What is the third derivative of -50*p**4 - 43*p**2 + 1 wrt p? -1200*p What is the second derivative of -478*h**2*y**2 + 2*h*y**2 - 20 wrt h? -956*y**2 Find the third derivative of 4498*b**3 + 30*b**2 - 44*b. 26988 What is the derivative of -459*d*z**3 + z**3 - 26*z wrt d? -459*z**3 What is the third derivative of 1260*b**6 + 1176*b**2 wrt b? 151200*b**3 What is the first derivative of -71*t**4 - 136? -284*t**3 What is the third derivative of -5824*j**3*s**2 - 71*j**2*s + 26*s**2 wrt j? -34944*s**2 What is the third derivative of -4*f**5*u + 113*f**3*u*z - 2*f**2*u*z - f**2*z + 391*u*z wrt f? -240*f**2*u + 678*u*z Find the first derivative of -6*k**4 + 5*k - 183 wrt k. -24*k**3 + 5 What is the third derivative of 309*s**3 - 103*s**2? 1854 Find the third derivative of r**3*s**4 - 12*r**3*s - 186*r**2*s**2 + 3092*s**4 wrt s. 24*r**3*s + 74208*s Find the second derivative of 24*j**4*q + 70*j**3*q**2 + 2*j*q**2 + j*q - 404*j - q**2 wrt j. 288*j**2*q + 420*j*q**2 Differentiate -5852*k + 14433. -5852 Find the first derivative of h*q*s**2*w + 152*h*q*s + 11*h*q*w - 3*h*s**2*w + h*s**2 - 4*h*w - 3*s wrt q. h*s**2*w + 152*h*s + 11*h*w Differentiate -212*b**3*k**2 - 20*b**3*w - 2*k**3*w**2 - w**2 + 2 wrt k. -424*b**3*k - 6*k**2*w**2 Find the third derivative of 22*f**3*l**3 - 615*f**3*l**2 - 3*f**3 + 5*f*l**3 - 21*l**3 - 1 wrt l. 132*f**3 + 30*f - 126 What is the third derivative of -20*v**5 + 2*v**3 - 261*v**2? -1200*v**2 + 12 What is the third derivative of 8*v**4 - 50*v**3 + 307*v**2 + v wrt v? 192*v - 300 What is the third derivative of -2*s**3*t**3*w**2 + s**3*t*w**2 + 133*s**2*t**2*w - 124*t**3*w**3 + 3*t**2*w**3 wrt t? -12*s**3*w**2 - 744*w**3 Find the third derivative of -14691*z**4 - z**2 - 7*z - 3. -352584*z Find the third derivative of -2049*a**3*q**3 - 2*a**3 + a**2*q - 17*a*q**2 + q**3 wrt q. -12294*a**3 + 6 What is the second derivative of -37*k*t**4*z**2 + k*t*z**2 - 6*k*t*z + t**5*z - 2*t*z**2 - 2*t wrt t? -444*k*t**2*z**2 + 20*t**3*z Find the third derivative of 1390*a**5 + 1385*a**2 wrt a. 83400*a**2 Find the second derivative of -2*n**4 - 1073*n**3 + n**2 - 15166*n wrt n. -24*n**2 - 6438*n + 2 Find the third derivative of -20786*h**3*p**3 - 2*h**2*p + 20*h*p**3 + 6*h - p wrt h. -124716*p**3 Differentiate 768*f**4 - 748 wrt f. 3072*f**3 Find the third derivative of 1123*u**3 + 5307*u**2 wrt u. 6738 What is the third derivative of 287*u**3 - 124*u**2 + 2*u? 1722 Find the third derivative of 1290*n**3 + 7*n**2 + n - 48. 7740 What is the third derivative of -132*r**3*y**2 + 8*r**2*y**2 - 8*r**2 wrt r? -792*y**2 Differentiate -10*a**3*w + 209*a**3 - a**2*w wrt w. -10*a**3 - a**2 Find the third derivative of -176*t**2*u**6 + 9*t**2*u**2 - t**2*u + 2*u**6 - 10 wrt u. -21120*t**2*u**3 + 240*u**3 What is the derivative of -1517*h**4 - 297? -6068*h**3 What is the derivative of -148*l*u*z - 10*l - 7971*u*z + 2*z wrt l? -148*u*z - 10 Find the first derivative of -12*a**2*l*y + 17*a**2*y - 4*l*y - l + 174*y wrt a. -24*a*l*y + 34*a*y Find the third derivative of 2*v**6 + 222*v**3 + 147*v**2 - 10. 240*v**3 + 1332 What is the third derivative of j**6 - 5276*j**3 - 5318*j**2 + j? 120*j**3 - 31656 Find the third derivative of 21*a**3*k**4 - 2*a**3*k**3 + 11*a**3*k**2 - a**3 - 3*k**4 wrt k. 504*a**3*k - 12*a**3 - 72*k What is the derivative of 24*j*m*v**3 + 137*j*m + 6515*m*v**3 + 2*v**3 wrt j? 24*m*v**3 + 137*m Differentiate 122*c**2*y**2 - 35*c**2 + 3*c*y**2 with respect to y. 244*c**2*y + 6*c*y Differentiate -12347*t**2 + 5476 wrt t. -24694*t What is the third derivative of 109*k*x**5 - 5*k*x**2 + 2*k + 2*x**3 + 2*x wrt x? 6540*k*x**2 + 12 What is the second derivative of 3004*a*b**3 + 3*a + 329*b wrt b? 18024*a*b What is the third derivative of -2*h**4 + 239*h**3 + 2*h**2 + 285? -48*h + 1434 Find the third derivative of 61*d**5 - 3*d**2 + 141*d. 3660*d**2 Find the third derivative of -384*t*x**3 - 445*t*x**2 wrt x. -2304*t Find the second derivative of 32*y**5 + 10*y**3 + 106*y wrt y. 640*y**3 + 60*y Find the second derivative of 2*k**2*p*q - 3*k**2*q**2 - 4*k*p*q**2 - 22*k*p - 75*p*q**2 - 2*p*q + 3*p wrt q. -6*k**2 - 8*k*p - 150*p What is the third derivative of -13499*k**5 + 4*k**2 - 825*k? -809940*k**2 What is the second derivative of r*z**5 + 4*r*z**4 + r*z**3 - 20*r*z + z wrt z? 20*r*z**3 + 48*r*z**2 + 6*r*z Find the third derivative of 607*r**6 + 1172*r**2. 72840*r**3 Find the third derivative of -1232*o**3*x**3 + o**3*x**2 - 15*o**2 + 2*x**3 + 1 wrt o. -7392*x**3 + 6*x**2 Find the third derivative of -6*h**4 + 16*h**3*j**2 + 48*h**2 + h*j**2 - h*j wrt h. -144*h + 96*j**2 Differentiate -6081*u**4 - 947 wrt u. -24324*u**3 What is the third derivative of -6*j*q**3*y + 3*j*q**3 + j*q**2 - j*y + 2*j - 4*q**3*y + 30*q**2 wrt q? -36*j*y + 18*j - 24*y What is the third derivative of 2655*r**5 - 39*r**2 - 14*r wrt r? 159300*r**2 Find the second derivative of -380*l**2 - 90*l. -760 Find the second derivative of -14*a**3*b**3 + 8*a**3*b**2*g**3 - 7*a*b**3*g**2 - 4*a*b**3*g - 4*a*b**2*g**3 - 2*b**3*g**3 wrt a. -84*a*b**3 + 48*a*b**2*g**3 What is the first derivative of 21*g**4*u - 77*g**2*u - 3416*u wrt g? 84*g**3*u - 154*g*u Find the second derivative of 2079*c**2 + 167*c wrt c. 4158 Find the second derivative of 4*t**5 + 18*t**4 + 2*t - 139 wrt t. 80*t**3 + 216*t**2 What is the first derivative of 3*b*q - 704*b*s**2 - b + q*s**2 + 4213*q + s**2 wrt s? -1408*b*s + 2*q*s + 2*s Find the third derivative of 52*p**3*u**5 - 4*p**3*u + 6*p**2*u**4 - 24*u**2 wrt u. 3120*p**3*u**2 + 144*p**2*u What is the derivative of 204*a**4 - 24*a - 33947? 816*a**3 - 24 What is the second derivative of 187*m**4 + m**3*y + 2*m*y - 2*y - 5 wrt m? 2244*m**2 + 6*m*y What is the first derivative of -4*v**2 + 9*v - 3679? -8*v + 9 What is the second derivative of 2*c**3*y**2 + 5*c**3*y + 103*c**3 - 2*c**2*y + c**2 - 4711*c*y**2 wrt y? 4*c**3 - 9422*c Find the second derivative of 2*d**3*q**2 - 11*d**3 + 3*d*q**5 + d*q + 2*q**3 - q wrt q. 4*d**3 + 60*d*q**3 + 12*q What is the third derivative of 11*b**6*f + 29*b**4*f + b**2*f + 794*f wrt b? 1320*b**3*f + 696*b*f What is the derivative of 1083*f**3*n*t + 3*f**3 - 2*f**2*n*t - 2*f*n*t + 10*t - 8 wrt n? 1083*f**3*t - 2*f**2*t - 2*f*t Find the first derivative of 291*h**3 - 602 wrt h. 873*h**2 Find the second derivative of 71*z**3 - 9*z**2 - 1300*z. 426*z - 18 What is the derivative of -3*j**3 - 195*j**2 - 20704? -9*j**2 - 390*j Find the second derivative of
{ "pile_set_name": "DM Mathematics" }
What is thirteen eighths of a milligram in micrograms? 1625 Convert 0.1866176ml to litres. 0.0001866176 What is 25/2 of a meter in millimeters? 12500 Convert 801.84771 minutes to days. 0.5568386875 How many grams are there in eleven quarters of a kilogram? 2750 How many decades are there in 11/2 of a millennium? 550 How many nanometers are there in 3491.275km? 3491275000000000 How many months are there in nine tenths of a decade? 108 What is fourty-four fifths of a litre in millilitres? 8800 How many centuries are there in 51/2 of a millennium? 255 Convert 86.11442mm to kilometers. 0.00008611442 How many kilometers are there in 385265.7 centimeters? 3.852657 Convert 564755.8 years to months. 6777069.6 Convert 8.51101ml to litres. 0.00851101 What is 44.06264kg in grams? 44062.64 How many micrograms are there in 0.964864t? 964864000000 Convert 815.4847 nanograms to kilograms. 0.0000000008154847 Convert 578162.1km to nanometers. 578162100000000000 What is 7/2 of a kilogram in grams? 3500 What is three tenths of a microgram in nanograms? 300 How many millilitres are there in 255.345l? 255345 How many hours are there in five quarters of a day? 30 What is five sixths of a minute in milliseconds? 50000 What is five quarters of a meter in millimeters? 1250 Convert 49.9817l to millilitres. 49981.7 What is fifty-five halves of a century in decades? 275 What is 945.311um in meters? 0.000945311 What is fourty-two fifths of a microgram in nanograms? 8400 What is 46.0718 days in minutes? 66343.392 What is three tenths of a millennium in years? 300 How many hours are there in 5/6 of a week? 140 How many micrometers are there in one fifth of a centimeter? 2000 Convert 96.07105 centuries to millennia. 9.607105 How many micrograms are there in one quarter of a milligram? 250 How many meters are there in 0.9391886 nanometers? 0.0000000009391886 How many litres are there in 42042.74ml? 42.04274 How many micrograms are there in 913.2029kg? 913202900000 What is 6/25 of a litre in millilitres? 240 What is thirty-one halves of a gram in milligrams? 15500 Convert 287.2031 litres to millilitres. 287203.1 What is 34/5 of a millennium in months? 81600 How many millilitres are there in seven quarters of a litre? 1750 How many minutes are there in 82.63845 days? 118999.368 Convert 64.87171 millilitres to litres. 0.06487171 How many microseconds are there in 91.97617ns? 0.09197617 What is one tenth of a decade in years? 1 What is 12/25 of a millennium in decades? 48 What is 3/5 of a litre in millilitres? 600 How many milligrams are there in 3/5 of a gram? 600 Convert 63.56481 kilometers to micrometers. 63564810000 Convert 63.20888mm to centimeters. 6.320888 What is 45/4 of a litre in millilitres? 11250 What is 9190.54t in grams? 9190540000 What is seven halves of a hour in seconds? 12600 What is 0.5478298l in millilitres? 547.8298 Convert 359420.6 hours to nanoseconds. 1293914160000000000 What is five sixths of a millennium in months? 10000 What is twenty-five quarters of a kilometer in meters? 6250 How many nanoseconds are there in 252097.3 weeks? 152468447040000000000 What is 52624.22 years in millennia? 52.62422 How many seconds are there in 0.9330478 minutes? 55.982868 How many hours are there in twenty-five quarters of a week? 1050 What is three sixteenths of a millennium in months? 2250 What is 5/24 of a decade in months? 25 How many days are there in 6.888113 weeks? 48.216791 How many millilitres are there in 13/5 of a litre? 2600 What is 16.06921 millennia in months? 192830.52 How many micrometers are there in seven quarters of a millimeter? 1750 How many millilitres are there in 15/4 of a litre? 3750 How many millilitres are there in 3/40 of a litre? 75 How many microseconds are there in seven halves of a millisecond? 3500 How many minutes are there in 57.206 days? 82376.64 What is 5/6 of a millennium in months? 10000 Convert 0.678607 days to milliseconds. 58631644.8 How many millilitres are there in 11/2 of a litre? 5500 How many hours are there in 7942.5747 microseconds? 0.00000220627075 What is 261.336537 microseconds in weeks? 0.0000000004321040625 What is 44800.94ng in grams? 0.00004480094 How many millilitres are there in 3/5 of a litre? 600 How many grams are there in twenty-one eighths of a kilogram? 2625 What is 10091.39 litres in millilitres? 10091390 Convert 63198.63ns to seconds. 0.00006319863 How many centuries are there in 7639.938 millennia? 76399.38 How many millilitres are there in 3038.88 litres? 3038880 What is 15/4 of a second in milliseconds? 3750 How many years are there in 7/2 of a millennium? 3500 How many millennia are there in 6075.5 years? 6.0755 What is 25/2 of a litre in millilitres? 12500 How many millilitres are there in seventeen halves of a litre? 8500 What is 9071.872 days in seconds? 783809740.8 How many millilitres are there in 3/25 of a litre? 120 How many days are there in 65.845089 microseconds? 0.0000000007620959375 What is 51/4 of a minute in seconds? 765 How many nanoseconds are there in 21/5 of a microsecond? 4200 What is 1/24 of a millennium in months? 500 How many milligrams are there in 19.94368 micrograms? 0.01994368 What is 21/4 of a hour in seconds? 18900 What is nine tenths of a decade in years? 9 Convert 0.5529133ug to kilograms. 0.0000000005529133 What is 127588.1 nanograms in kilograms? 0.0000001275881 How many millilitres are there in thirteen fifths of a litre? 2600 Convert 131478.4ml to litres. 131.4784 What is 0.9928027 millennia in years? 992.8027 How many millilitres are there in 1/4 of a litre? 250 What is twenty-seven quarters of a litre in millilitres? 6750 How many millimeters are there in one tenth of a kilometer? 100000 What is 6/25 of a litre in millilitres? 240 Convert 0.2503775 centuries to millennia. 0.02503775 How many grams are there in 53/4 of a kilogram? 13250 What is twenty-one eighths of a milligram in micrograms? 2625 How many years are there in 7/4 of a century? 175 What is 0.9182303 micrometers in meters? 0.0000009182303 How many seconds are there in nine tenths of a minute? 54 How many micrometers are there in 11/2 of a centimeter? 55000 How many centimeters are there in twenty-seven halves of a meter? 1350 What is 92.41329 meters in kilometers? 0.09241329 How many seconds are there in six fifths of a hour? 4320 How many nanograms are there in 374041.9 kilograms? 374041900000000000 Convert 152071.23 months to decades. 1267.26025 How many minutes are there in 0.6445133 hours? 38.670798 How many tonnes are there in 4945.681g? 0.004945681 How many seconds are there in 1/36 of a hour? 100 How many millilitres are there in 7/8 of a litre? 875 How many millimeters are there in three tenths of a meter? 300 What is 7/8 of a milligram in micrograms? 875 How many micrometers are there in 1/10 of a meter? 100000 Convert 36.87566g to micrograms. 36875660 What is thirty-four fifths of a tonne in kilograms? 6800 What is 6.609474nm in meters? 0.000000006609474 Convert 22131.23 millilitres to litres. 22.13123 What is 163355.8km in micrometers? 163355800000000 What is 27/4 of a meter in centimeters? 675 Convert 9869.111t to nanograms. 9869111000000000000 What is six fifths of a centimeter in millimeters? 12 How many micrometers are there in three tenths of a millimeter? 300 Convert 36642.27 micrometers to meters. 0.03664227 How many seconds are there in 21/4 of a minute? 315 How many tonnes are there in 0.9904037mg? 0.0000000009904037 Convert 163.2774ml to litres. 0.1632774 What is 248.0378 microseconds in nanoseconds? 248037.8 How many kilograms are there in 46/5 of a tonne? 9200 How many milliseconds are there in 13/8 of a minute? 97500 How many months are there in eight thirds of a year? 32 How many micrograms are there in 76.93435kg? 76934350000 How many millilitres are there in 21/2 of a litre? 10500 What is 7927.921 millilitres in litres? 7.927921 What is 8857.418 grams in kilograms? 8.857418 What is fifty-seven halves of a milligram in micrograms? 28500 How many grams are there in 13/4 of a kilogram? 3250 What is 54.58688 centuries in millennia? 5.458688 What is twenty-five halves of a litre in millilitres? 12500 What is 11/8 of a milligram in micrograms? 1375 What is nine tenths of a meter
{ "pile_set_name": "DM Mathematics" }
+ 26 + 14 = 0. Is 4/5*(-20)/z even? True Suppose -3*o + 65 + 139 = 5*h, -3*o = -2*h + 90. Does 14 divide h? True Let b(a) = a**2 - a + 2. Suppose -g - 2 - 6 = 0. Let m = -6 - g. Is 3 a factor of b(m)? False Is (-3)/2 + (-146)/(-4) a multiple of 7? True Let m(y) = 8*y**2. Suppose -2*o = 3*o + 55. Let b(a) = -33*a**2. Let c(g) = o*m(g) - 3*b(g). Is c(2) a multiple of 22? True Suppose -g = -1 - 5. Is 3 a factor of g? True Let q be (0 - (-9)/(-6))*-2. Suppose 0 = 2*u + 4*p - 6, q*u - u = 4*p + 14. Suppose -h = -0*g + g - 9, g + 3 = -u*h. Is 12 a factor of g? True Is 28 a factor of 3711/24 + 21/56? False Let k(d) = 16*d - 8. Is 12 a factor of k(2)? True Suppose -66 = -6*w + 90. Does 26 divide w? True Suppose 3*v = -v + 84. Is v a multiple of 21? True Suppose 5*w - 5*u = 115, 5*w - 2*u - 136 = -4*u. Let v be -11 - -2*2/(-4). Let p = w + v. Is p a multiple of 7? True Suppose 4*y + 4*j - 8 = 0, 0*y + 2*j = 4*y - 14. Suppose -6*k = o - 5*k - 4, k = -y. Is 2 a factor of o? False Suppose -i = -6*i. Let z = i - -3. Suppose 2*n - 2*u - 19 = 1, z*u + 17 = 2*n. Is n a multiple of 13? True Let c(x) = -6*x**2 - 2*x + 4. Let l(q) = 13*q**2 + 3*q - 9. Let m(j) = -9*c(j) - 4*l(j). Let n be m(-5). Is 8 a factor of 1*(0 + -1) + n? False Let d(k) = -k**3 - k**2 + 55. Is 2 a factor of d(0)? False Suppose 0 = 3*m + 5*c - 18, 0 = c + 2*c. Is 2 a factor of 4*(-1)/m*-6? True Let j = 46 - -74. Is j a multiple of 24? True Suppose -4*s + 4*h = 0, 12 = -3*s - 3*h + 36. Let b = 6 - s. Is 117/6 - 1/b a multiple of 6? False Let h = -37 - -93. Suppose h = 6*t - 2*t. Is 7 a factor of t? True Let m(g) = -9*g + 6. Let j be m(-9). Suppose 2*o - 6 = -4*i, -5*i + 8 = o + 2. Does 17 divide 5*(i + j/15)? True Suppose 5*m - 22 - 23 = 0. Let v(p) = 7 + 10 - 7 + 2*p. Is v(m) a multiple of 11? False Suppose 5*p + 548 = 3*d + p, 689 = 4*d + 3*p. Does 11 divide d? True Suppose 5 = x - 2*k, -4*k + 11 = 4*x - 3*k. Suppose -4*u = -x*u - 36. Is u a multiple of 16? False Suppose 11 + 325 = 3*g. Let o = g - 56. Let u = o - 32. Is 12 a factor of u? True Let k = -9 - -17. Does 2 divide k? True Let s = 31 + -16. Is s a multiple of 7? False Suppose -2*d + 3 = 1. Let v(n) = 4*n. Is v(d) a multiple of 3? False Let a be 1*-1 - (3 + -4). Let b(u) = 0*u + u + a + 2. Is b(6) a multiple of 4? True Let j(n) = 2*n**2 - 5*n - 7. Is 19 a factor of j(6)? False Suppose 10*k = 7*k + 9. Suppose -5*b = -k*b - 78. Is b a multiple of 13? True Let u = 11 + -17. Let l = 1 + 1. Let c = l - u. Is 3 a factor of c? False Let m = 69 - -9. Does 13 divide m? True Let h be 27/6*6/(-9). Is 0 - (h/(-1) + -32) a multiple of 29? True Suppose 4*a - 40 = 6*a. Let r = 47 + a. Is r a multiple of 27? True Suppose 0 = t - 0*t - 2. Let n(d) = 7*d**2. Is n(t) a multiple of 14? True Let d = 3 - 1. Suppose 0 = -d*i + 130 + 12. Is 18 a factor of i? False Let t = 1 + -1. Suppose 4 + t = j. Suppose -4 = -j*i, 4*b - 121 = b + 2*i. Is 17 a factor of b? False Let k = 13 - -29. Is k a multiple of 12? False Let z = 6 - 16. Is (-58)/(-5) + z/(-25) a multiple of 5? False Suppose 7*w - 2*w - 2*j - 77 = 0, -4 = 4*j. Does 15 divide w? True Let a = 103 + -24. Is a a multiple of 18? False Suppose -144 + 53 = -7*f. Is f a multiple of 3? False Let d(p) = p + 12. Let b(q) = -q**2 - 9*q + 12. Let l be b(-9). Is d(l) a multiple of 8? True Suppose 4 = 4*n - 4. Let h = 2 + n. Is 4 a factor of h? True Let v = 0 - -4. Is v even? True Let p = 13 - 6. Does 2 divide p? False Is (-30)/(-4)*84/10 a multiple of 9? True Let w = -4 - -9. Suppose v - w*g = -0*v + 32, 2*g + 218 = 4*v. Is 19 a factor of v? True Let c = 5 - 3. Suppose 9 = c*s + 3. Is 3 a factor of s? True Does 19 divide 4/(-14)*-997 + (-12)/(-84)? True Suppose -2*w = -39 - 67. Let p = w - 23. Is p a multiple of 21? False Does 14 divide (-2)/((-4)/(-726)*-3)? False Suppose -6*n + 3*n = 0. Suppose -3*v - v + 4 = n. Is 12 a factor of (0 - v) + -1 + 14? True Let x(n) = 9*n + 8. Let v be (-6)/(1 - 3/9). Let a be x(v). Let l = -28 - a. Is 15 a factor of l? True Suppose -4*l = -39 - 29. Let p = l - 12. Is 2 a factor of p? False Let f(x) = -5*x - 7. Let n be f(-6). Suppose -2*i + n = 3. Does 5 divide 4/(-10) - (-134)/i? False Let z = 4 - 0. Let d = z + 0. Suppose d*s + 36 = 272. Is s a multiple of 24? False Suppose 4 = -2*x + 6*x. Let g = -4 + x. Let y(m) = -11*m + 1. Is 17 a factor of y(g)? True Suppose 2*p + p - r - 179 = 0, 5*p - r = 299. Is 12 a factor of p? True Let o = 181 - 81. Does 19 divide o? False Let x = 70 + -54. Is x even? True Let c be ((-10)/4)/5*-6. Suppose 2*y = 2*o + 10, 4*o = 2*o - c*y - 5. Let l(q) = -2*q. Does 4 divide l(o)? True Let c(m) = m**2 + m - 4. Let y be c(0). Let v(w) = -3*w**2 + 2*w + 1. Let r(g) = -g**2 - g - 1. Let o(x) = 4*r(x) - v(x). Does 2 divide o(y)? False Let c = 1 + 8. Is 3 a factor of c? True Let n = -10 + 14. Suppose 3*x + 5*u = 25, 3*x - 26 = -n*u - 0*u. Does 6 divide x? False Let y = -10 - -8. Is 3 a factor of (-1 + y)*-1 + 6? True Let p = 0 - 0. Suppose 3*z - 12 + p = 0. Let j = 8 - z. Is j a multiple of 4? True Suppose 13*n = -n + 2940. Is n a multiple of 15? True Let b(a) = a**2 + 4*a + 2. Let v be b(-4). Suppose 38 = v*k + 3*d, -k = -0*k + 4*d - 29. Is k a multiple of 13? True Let o(h) = -4*h - 2. Does 10 divide o(-3)? True Suppose 3 + 9 = 2*x. Suppose 2 + x = 2*y. Is 3 a factor of y? False Let j(a) = -a**2 + 2*a + 3. Let s be j(-7). Let c = -28 - s. Does 10 divide c? False Let v(t) = -t + 1. Let z be v(-4). Is 14 a factor of (-209)/(-5) + 1/z? True Suppose -5*v - 5*o = 65, -2*v + 0 = -2*o + 30. Let q = -23 - v. Is 1*-1*(4 + q) a multiple of 3? False Let f be 10/3 + (-1)/3. Let z be f + 1*(-1 - 1). Let a(i) = 2*i + 1. Is 3 a factor of a(z)? True Let t = 4 - 2. Suppose -4*b = 4*n, -t*b + 18 = n - 7*b. Let x = n + 7. Is x a multiple of 10? True Let z(r) = -2*r + 5. Let l(x) = -2*x + 6. Let w(d) = 5*l(d) - 6*z(d). Is 3 a factor of w(3)? True Let s(d) = 196*d**2 + d - 2. Is s(1) a multiple of 15? True Let l = 146 - 86. Does 24 divide l? False Suppose 2*d - 3 = 5*o - 12, 0 = -2*o + 4*d - 6. Does 3 divide o? True Is (-3404)/(-111)*30/4 a multiple of 30? False Let q(l) be the first derivative of 9*l**2/2 + 3*l + 3. Does 16 divide q(4)? False Suppose 0 = s + 4*s. Suppose 0 = 4*t - 2*q - 104, -t + q - 12 + 36 = s. Is t a multiple of 10? False Suppose 0 = x - 0*x + f, x - 15 = 4*f. Suppose 0*n = -2*n - x*z - 3, z - 1 = 0. Does 15 divide n - (-3 - (-1 + 45))? False Let n = 183 + -131. Is 21 a factor of n? False Let z(p) = p**2 - 4*p - 8. Let i be z(7). Suppose -5*x + i - 98 = 0. Let c = 18 - x. Is 21 a factor of c? False Suppose t + 5*i = 2, 0*i - 63 = -3*t + 4*i. Does 12 divide t? False Let h = -121 + 211. Let w = -54 + h. Is 12 a factor of w? True Let b = -3 + 3. Let k be 3/1 - (b + 0). Suppose t + k*t = 84. Does 21 divide t? True Suppose 2*i - 3*i = -42. Is 14 a factor of i? True Let r = -175 + 271. Is 32 a factor of r? True Let p(n) = n**2 - 9*n - 7. Let m be p(10). Suppose -4*h = 2*q + 2, 0 = -4*h - 13 - m. Does 7 divide q? True Let i(b) = 11*b**2 - 2*b - 1. Does 13 divide i(2)? True Let f be (7/(-2))/((-3)/(-12)). Let h be 4/f + 66/(-14). Let a = h + 10. Is 5 a factor of a? True Let k(r) be the second derivative of r**5/20 - 5*r**4/12 - r**3/2 + 5*r**2/2 + r. Let p be 1*((-6)/21 + (-264)/(-42)). Does 12 divide k(p)? False Suppose 3*y = -2*d - 26 + 221, -y = -d + 105. Suppose -4*a = 5*r - d - 72, 3*a + 164 = 4*r. Does 19 divide r? True Let n(b) = 10 + 2*b + 5 - 9*b - 4. Is 13 a factor of n(-5)? False Let h(q) = -q - 7. Let u be h(-7). Suppose -4*t + u*t + 4 = 0. Does 15 divide t*-15*(-4 + 3)? True Let h(o) = 3*o + 0*o**3 + 8*o**2 - 4*o - 3 - o**3. Is h(6) a multiple of 21? True Let p = 84 - 15. Is p a multiple of 23? True Let h = 12 + -35. Let x(c) = -2*c**3 - c**2 - 2*c + 2. Let n be x(-3). Let s = n + h. Is s a multiple of 13? False Let w(h) = h**2 + 14*h - 17. Does 15 divide w(-16)? True Suppose 21*n = 26*n - 60. Suppose q = 4*q - 3*z - n, 26 = 5*q - 3*z. Does 2 divide q? False Suppose -4*y - p - 4*p + 132 = 0, p + 52 = 2*y. Is 7 a factor of y? True Let k(m) = m**2 - 3*m + 2. Let b be k(2). Suppose 2*z - 8 - 10 = b. Let p(x) = x**3 - 8*x**2 - 7*x - 4. Is p(z) a multiple of 12? False Let t = -10 - -14. Suppose -2*f + 30 = 2*d, d - t*f + 9 = 2*d. Does 17 divide d? True
{ "pile_set_name": "DM Mathematics" }
f -489, -886, -1283, -1680, -2077, -2474? -397*a - 92 What is the z'th term of 15080, 15077, 15074? -3*z + 15083 What is the v'th term of 53, 248, 575, 1034, 1625, 2348? 66*v**2 - 3*v - 10 What is the r'th term of 1631, 1691, 1857, 2183, 2723? 9*r**3 - r**2 + 1623 What is the i'th term of 91, 400, 929, 1678, 2647? 110*i**2 - 21*i + 2 What is the u'th term of 86, 169, 266, 377, 502? 7*u**2 + 62*u + 17 What is the d'th term of -116075, -232149, -348223, -464297, -580371, -696445? -116074*d - 1 What is the q'th term of -476239, -952478, -1428717, -1904956, -2381195, -2857434? -476239*q What is the p'th term of 565, 4622, 15635, 37084, 72449? 580*p**3 - 2*p**2 + 3*p - 16 What is the c'th term of -14, -120, -342, -710, -1254, -2004, -2990, -4242? -5*c**3 - 28*c**2 + 13*c + 6 What is the o'th term of 81, 494, 1189, 2172, 3449, 5026, 6909? o**3 + 135*o**2 + o - 56 What is the f'th term of 16, -95, -334, -701, -1196, -1819? -64*f**2 + 81*f - 1 What is the u'th term of 2903, 22714, 76483, 181190, 353815, 611338, 970739? 2830*u**3 - u**2 + 4*u + 70 What is the y'th term of 24795, 49579, 74363, 99147, 123931? 24784*y + 11 What is the c'th term of -4162, -8209, -12248, -16273, -20278, -24257, -28204? c**3 - 2*c**2 - 4048*c - 113 What is the h'th term of 35, 95, 195, 353, 587, 915, 1355, 1925? 3*h**3 + 2*h**2 + 33*h - 3 What is the s'th term of 8959, 18046, 27131, 36214, 45295, 54374, 63451? -s**2 + 9090*s - 130 What is the m'th term of -582, -1158, -1724, -2280, -2826, -3362? 5*m**2 - 591*m + 4 What is the s'th term of -188203, -376374, -564543, -752710, -940875, -1129038? s**2 - 188174*s - 30 What is the u'th term of 7425, 14851, 22277, 29703, 37129, 44555? 7426*u - 1 What is the g'th term of -87021, -174019, -261017, -348015? -86998*g - 23 What is the x'th term of -28665, -57223, -85781, -114339, -142897, -171455? -28558*x - 107 What is the c'th term of -416, 346, 1614, 3388, 5668? 253*c**2 + 3*c - 672 What is the o'th term of 1749, 1850, 1945, 2034? -3*o**2 + 110*o + 1642 What is the v'th term of 462, 548, 634, 720, 806? 86*v + 376 What is the s'th term of 8484, 16977, 25460, 33927, 42372? -s**3 + s**2 + 8497*s - 13 What is the k'th term of 6815, 6838, 6875, 6926? 7*k**2 + 2*k + 6806 What is the c'th term of 831, 1670, 2513, 3360? 2*c**2 + 833*c - 4 What is the q'th term of 2381, 9485, 21301, 37823, 59045, 84961, 115565, 150851? -q**3 + 2362*q**2 + 25*q - 5 What is the z'th term of -2, 4, 14, 28, 46, 68? 2*z**2 - 4 What is the j'th term of 61, 114, 159, 190, 201, 186? -j**3 + 2*j**2 + 54*j + 6 What is the m'th term of 1329, 1367, 1439, 1563, 1757, 2039, 2427? 3*m**3 - m**2 + 20*m + 1307 What is the v'th term of 36996, 36993, 36990, 36987? -3*v + 36999 What is the p'th term of -4796, -5181, -5562, -5939? 2*p**2 - 391*p - 4407 What is the d'th term of -6751, -6747, -6743, -6739, -6735, -6731? 4*d - 6755 What is the r'th term of -16181, -16187, -16195, -16205, -16217? -r**2 - 3*r - 16177 What is the t'th term of 404, 221, 34, -157, -352, -551, -754? -2*t**2 - 177*t + 583 What is the k'th term of 16927, 16915, 16913, 16927, 16963? k**3 - k**2 - 16*k + 16943 What is the k'th term of 1155, 1122, 1067, 984, 867? -k**3 - 5*k**2 - 11*k + 1172 What is the i'th term of -165572, -165577, -165582, -165587? -5*i - 165567 What is the d'th term of 2075, 2066, 2041, 1994, 1919? -d**3 - 2*d**2 + 4*d + 2074 What is the b'th term of -21836, -43666, -65488, -87296, -109084, -130846, -152576, -174268? b**3 - 2*b**2 - 21831*b - 4 What is the h'th term of -242008, -242009, -242010? -h - 242007 What is the t'th term of 67689, 135381, 203073, 270765, 338457? 67692*t - 3 What is the j'th term of 463, 1784, 3969, 7012, 10907, 15648, 21229? -j**3 + 438*j**2 + 14*j + 12 What is the s'th term of 49913, 49922, 49931, 49940, 49949, 49958? 9*s + 49904 What is the h'th term of 733, 1477, 2213, 2941, 3661, 4373, 5077? -4*h**2 + 756*h - 19 What is the a'th term of -49635, -49612, -49543, -49404, -49171, -48820, -48327? 4*a**3 - a**2 - 2*a - 49636 What is the v'th term of -2623, -5460, -8295, -11128, -13959, -16788, -19615? v**2 - 2840*v + 216 What is the h'th term of -1153, -2320, -3483, -4642, -5797? 2*h**2 - 1173*h + 18 What is the l'th term of -111435, -111436, -111437, -111438, -111439? -l - 111434 What is the b'th term of 4762, 4845, 4928, 5011, 5094, 5177? 83*b + 4679 What is the x'th term of -104964, -104963, -104962, -104961, -104960? x - 104965 What is the a'th term of -2884002, -2884003, -2884004, -2884005, -2884006? -a - 2884001 What is the o'th term of 1365753, 1365755, 1365759, 1365765, 1365773? o**2 - o + 1365753 What is the d'th term of -1562, -1489, -1358, -1163, -898, -557? d**3 + 23*d**2 - 3*d - 1583 What is the y'th term of 18, 463, 1696, 4119, 8134, 14143, 22548, 33751? 67*y**3 - 8*y**2 - 41 What is the j'th term of -1649, -1782, -1915? -133*j - 1516 What is the u'th term of -364, -634, -894, -1138, -1360, -1554, -1714? u**3 - u**2 - 274*u - 90 What is the z'th term of -4072, -8206, -12340, -16474? -4134*z + 62 What is the q'th term of -11775, -23545, -35317, -47091, -58867, -70645? -q**2 - 11767*q - 7 What is the w'th term of 8460, 16921, 25382, 33843, 42304? 8461*w - 1 What is the j'th term of -411, -974, -1835, -3144, -5051, -7706, -11259, -15860? -25*j**3 + j**2 - 391*j + 4 What is the h'th term of -22743, -22742, -22741, -22740? h - 22744 What is the q'th term of -420, -1777, -4076, -7323, -11524, -16685, -22812, -29911? -q**3 - 465*q**2 + 45*q + 1 What is the p'th term of 7036, 7053, 7070, 7087, 7104? 17*p + 7019 What is the r'th term of 1394, 735, 76, -583, -1242, -1901? -659*r + 2053 What is the v'th term of 113, 337, 741, 1331, 2113? v**3 + 84*v**2 - 35*v + 63 What is the s'th term of 81, 2, -77, -156, -235? -79*s + 160 What is the v'th term of -16468, -16482, -16518, -16588, -16704, -16878? -2*v**3 + v**2 - 3*v - 16464 What is the w'th term of 47, 139, 249, 383, 547? w**3 + 3*w**2 + 76*w - 33 What is the b'th term of -11385, -11384, -11383, -11382? b - 11386 What is the j'th term of 208, 570, 932, 1294, 1656, 2018? 362*j - 154 What is the m'th term of 35429, 70913, 106397, 141881, 177365? 35484*m - 55 What is the w'th term of 3638, 7319, 11000, 14681, 18362? 3681*w - 43 What is the a'th term of 265, 862, 1461, 2062, 2665, 3270, 3877? a**2 + 594*a - 330 What is the z'th term of 148800, 148801, 148802, 148803, 148804? z + 148799 What is the j'th term of 32, 69, 188, 431, 840, 1457, 2324? 7*j**3 - j**2 - 9*j + 35 What is the d'th term of -13438, -53773, -120984, -215059, -335986, -483753, -658348? 2*d**3 - 13450*d**2 + d + 9 What is the j'th term of 2692011, 2692009, 2692007? -2*j + 2692013 What is the v'th term of -599, -4883, -16547, -39281, -76775, -132719? -615*v**3 + 21*v - 5 What is the a'th term of 584, 1354, 2494, 4190, 6628, 9994, 14474? 31*a**3 - a**2 + 556*a - 2 What is the g'th term of 449, 3661, 12389, 29393, 57433? 460*g**3 - 2*g**2 - 2*g - 7 What is the p'th term of 1329, 1483, 1651, 1839, 2053? p**3 + p**2 + 144*p + 1183 What is the p'th term of 7915, 15816, 23707, 31582, 39435, 47260, 55051, 62802? -p**3 + p**2 + 7905*p + 10 What is the p'th term of -2508, -3368, -4230, -5094, -5960, -6828? -p**2 - 857*p - 1650 What is the q'th term of -19122, -38255, -57400, -76563, -95750, -114967? -q**3 - 19126*q + 5 What is the w'th term of -4911, -19648, -44209, -78594, -122803, -176836? -4912*w**2 - w + 2 What is the j'th term of -212, -502, -794, -1094, -1408, -1742? -j**3 + 5*j**2 - 298*j + 82 What is the l'th term of 26, 73, 138, 209, 274, 321, 338? -2*l**3 + 21*l**2 - 2*l + 9 What is the j'th term of 240, -4454, -17190, -41988, -82868? -670*j**3 - j**2 - j + 912 What is the h'th term of 451, 1258, 2611, 4516, 6979, 10006, 13603, 17776? h**3 + 267*h**2 - h + 184 What is the i'th term of 332050, 664097, 996144, 1328191? 332047*i + 3 What is the b'th term of -561, -258, 255, 978, 1911, 3054? 105*b**2 - 12*b - 654 What is the y'th term of 4029, 4369, 4709, 5049, 5389, 5729? 340*y + 3689 What is the v'th term of -14815, -14820, -14825, -14830, -14835, -14840? -5*v - 14810 What is the y'th term of 345, 1165, 2529, 4437, 6889, 9885, 13425? 272*y**2 + 4*y + 69 What is the q'th term of 357, 961, 1565? 604*q - 247 What is the i'th term of 11281, 22573, 3386
{ "pile_set_name": "DM Mathematics" }
f - 711 for f. 8 Solve -13*k + 11*k = 4 for k. -2 Solve -54*c = -57*c for c. 0 Solve 0 = -o + 2 - 3 for o. -1 Solve 9 = 5*w - 8*w for w. -3 Solve -190 = 104*t + 18 for t. -2 Solve 8*f + 3 = 11*f for f. 1 Solve 3*v - 9 + 0 = 0 for v. 3 Solve 388 = 3*k + 379 for k. 3 Solve 10*i = 16*i - 12 for i. 2 Solve -6 = 2*b - 4*b for b. 3 Solve -9*b + 10 = b for b. 1 Solve -15*x = -63 + 48 for x. 1 Solve 32*m - 49 = 25*m for m. 7 Solve 0 = 4*c + 20 - 4 for c. -4 Solve 21 - 5 = -4*b for b. -4 Solve -12*a = 4*a + 64 for a. -4 Solve 0 = 5*w - 5 - 0 for w. 1 Solve -12 = -41*r + 37*r for r. 3 Solve 26*s - 95*s = 69 for s. -1 Solve 42*g = 5*g + 37 for g. 1 Solve 1153*s - 1148*s + 35 = 0 for s. -7 Solve -2*o - 8 = -12 for o. 2 Solve -56*v + 104 = -43*v for v. 8 Solve 3*i = -3*i - 18 for i. -3 Solve -10*u = 7 + 13 for u. -2 Solve -751*l = -750*l for l. 0 Solve 0 = 2*g + 5 - 1 for g. -2 Solve 10*w + 18 + 2 = 0 for w. -2 Solve 60*n = 54*n - 6 for n. -1 Solve -j - 17 + 18 = 0 for j. 1 Solve 26*c = 50*c + 72 for c. -3 Solve 78 = 161*b - 174*b for b. -6 Solve -2693*z + 44 = -2682*z for z. 4 Solve 123*z - 143*z = -120 for z. 6 Solve 1750*b - 9 = 1751*b for b. -9 Solve -144 = 2077*g - 2061*g for g. -9 Solve 0 = 8*m - 563 + 491 for m. 9 Solve -5 = 2*s + 1 for s. -3 Solve 62*u = 162*u for u. 0 Solve 3*l + 10029 = 10008 for l. -7 Solve y = 6*y + 25 for y. -5 Solve 118*b = 105*b + 65 for b. 5 Solve 28*h - 31*h = 18 for h. -6 Solve 11*p - 10*p = 0 for p. 0 Solve -14 = y - 10 for y. -4 Solve 21*f + 45 = 6*f for f. -3 Solve -270 = -6*x - 312 for x. -7 Solve -363*h + 365*h = 4 for h. 2 Solve 0 = -6*t + 72 - 66 for t. 1 Solve -29*r - 123 = -7 for r. -4 Solve 51*p + 452 = 95 for p. -7 Solve -7*b - 29 + 1 = 0 for b. -4 Solve 0 = -38*n - 202 + 12 for n. -5 Solve -108*c + 111*c = -12 for c. -4 Solve i + 0*i = 0 for i. 0 Solve 22 - 42 = -4*l for l. 5 Solve -10*z + 498 = 488 for z. 1 Solve 0 = 336*u - 305*u + 186 for u. -6 Solve 41*z = 49*z + 32 for z. -4 Solve -16 - 53 = 23*w for w. -3 Solve -14*n = -7 - 35 for n. 3 Solve -6*k + 843 = 807 for k. 6 Solve -15*u + 383 - 308 = 0 for u. 5 Solve -296*p - 7 = -289*p for p. -1 Solve 6 = -26*j + 23*j for j. -2 Solve -4 = 3*j - 1 for j. -1 Solve 7*b + b + 24 = 0 for b. -3 Solve 6*o = 4*o for o. 0 Solve 8 + 7 = -5*y for y. -3 Solve -40 = -0*n - 10*n for n. 4 Solve 8*k + 2*k + 50 = 0 for k. -5 Solve 2*r - 313 = -305 for r. 4 Solve -24 = 8*j - 0*j for j. -3 Solve -2*y - 836 + 840 = 0 for y. 2 Solve -9*b = -28*b - 9*b for b. 0 Solve 12 - 15 = -3*c for c. 1 Solve -87 = -f - 83 for f. 4 Solve -6*w = 3 - 15 for w. 2 Solve 0 = 3536*d - 3528*d - 88 for d. 11 Solve 159 = -5*i + 164 for i. 1 Solve -m + 0*m = -1 for m. 1 Solve 3*w + w = -20 for w. -5 Solve 198*o - 9 = 201*o for o. -3 Solve 19*p - 4 = 18*p for p. 4 Solve -130*j = -127*j - 15 for j. 5 Solve 30*p = 52 - 142 for p. -3 Solve 5*w - 13 = 17 for w. 6 Solve 15 = -4*h + 23 for h. 2 Solve 25*d + 21 = 32*d for d. 3 Solve -11*v + 21 = -4*v for v. 3 Solve 11 = a + 6 for a. 5 Solve -4*j + 28 = -32*j for j. -1 Solve 110 = -20*s - 2*s for s. -5 Solve 2*i + 1 = -1 for i. -1 Solve 8*u = 3*u - 20 for u. -4 Solve -15 = 40*j - 35*j for j. -3 Solve 141 = 5*h + 151 for h. -2 Solve -42 = 2*s - 16*s for s. 3 Solve 4*j - 3 = 7*j for j. -1 Solve 2795*u - 42 = 2809*u for u. -3 Solve 0 = 30*v + 282 - 192 for v. -3 Solve 0 = -43*w + 48*w + 30 for w. -6 Solve 0 = 4*h + 12*h + 64*h for h. 0 Solve 170*v - 180*v = 30 for v. -3 Solve -5*m = -3 + 28 for m. -5 Solve 5*r - 28 + 13 = 0 for r. 3 Solve -2*t = -13 + 21 for t. -4 Solve -22*a + 55*a - 66 = 0 for a. 2 Solve x + 93 = 92 for x. -1 Solve 0 = -4*b + 424 - 404 for b. 5 Solve 3 = 4*g - 13 for g. 4 Solve 75*c - 96 = 63*c for c. 8 Solve 0 = 8*u - 7*u - 4 for u. 4 Solve -42 = 2*a + 12*a for a. -3 Solve 84 = 12*n - 0*n for n. 7 Solve -3 = 3*h + 3 for h. -2 Solve 3*c = 12 + 3 for c. 5 Solve -155*n = -177*n - 154 for n. -7 Solve 7*o - 2 = 8*o for o. -2 Solve 8*m = -2*m - 30 for m. -3 Solve 0 = -7*p + 106 - 71 for p. 5 Solve -2*a = -8 + 6 for a. 1 Solve 49 - 45 = 4*m for m. 1 Solve 29 + 19 = -12*r for r. -4 Solve 17*h + 2 = 2 for h. 0 Solve 20*s = 55*s + 210 for s. -6 Solve -159*f + 80*f = -83*f for f. 0 Solve 14*i + 30 - 2 = 0 for i. -2 Solve 9 - 5 = -4*a for a. -1 Solve 481*m - 477*m = -12 for m. -3 Solve 3*h = h - 12 for h. -6 Solve -102 - 15 = 13*y for y. -9 Solve 40 - 220 = 45*x for x. -4 Solve 3 - 17 = 2*o for o. -7 Solve 0 = 3*u - 20 + 8 for u. 4 Solve 21*o = -7*o - 56 for o. -2 Solve 31 = -d + 34 for d. 3 Solve -11*y - 13*y + 120 = 0 for y. 5 Solve 4*u = 9*u + 5 for u. -1 Solve 2*l = -3*l + 5 for l. 1 Solve 0*l - 12 = 3*l for l. -4 Solve 181 = -27*d - 62 for d. -9 Solve -2*q = -11 - 3 for q. 7 Solve 13*c - 18*c - 10 = 0 for c. -2 Solve -2*k - 2*k = -8 for k. 2 Solve 4*j - 45 = -5*j for j. 5 Solve 10*t + t - 33 = 0 for t. 3 Solve 0 = 5*y + 480 - 465 for y. -3 Solve 8 = -46*t + 146 for t. 3 Solve 6*r - 8*r + 6 = 0 for r. 3 Solve -25*i + 98 = -27 for i. 5 Solve -627*r + 6 = -630*r for r. -2 Solve -2*g - 354 = -356 for g. 1 Solve -82*y - 15 = -79*y for y. -5 Solve 2*z + 15 = 11 for z. -2 Solve -494*d = -500*d - 30 for d. -5 Solve -29*f = 22*f - 204 for f. 4 Solve 0 = -3*z - 2 + 2 for z. 0 Solve -n - 9 = -12 for n. 3 Solve 523 = 51*j + 64 for j. 9 Solve -45*z = 63 + 72 for z. -3 Solve j - 149 + 148 = 0 for j. 1 Solve 28 = -31*l - 34 for l. -2 Solve -34 = 20*g + 166 for g. -10 Solve 12*w + 46 = 46 for w. 0 Solve -20*j = -123*j + 412 for j. 4 Solve 18*d - 23*d = -10 for d. 2 Solve -73*i - 216 = 222 for i. -6 Solve 0 = 28*h - 33*h - 15 for h. -3 Solve -44*n + 25*n = -25*n for n. 0 Solve 33*p = 7*p + 156 for p. 6 Solve 19*m + 626 - 569 = 0 for m. -3 Solve 26 - 30 = 4*q for q. -1 Solve 0*s = 2*s - 12 for s. 6 Solve 0 = 6*a - 39 - 3 for a. 7 Solve 7*h + 386 - 407 = 0 for h. 3 Solve -121*n = -116*n - 35 for n. 7 Solve 241*f = 246*f - 30 for f. 6 Solve 0 = 3*v - 3*v + 3*v for v. 0 Solve 512 = 2*w + 512 for w. 0 Solve -25 = 26*g + 79 for g. -4 Solve -13*m = 16*m - 116 for m. 4 Solve 3*s = 101 - 98 for s. 1 Solve -144 = 20*i + 4*i for i. -6 Solve 0 = -23*k + 77*k + 324 for k. -6 Solve -115*y + 132*y = 17 for y. 1 Solve 50*n + 134 = -16 for n. -3 Solve -7*o + 3 - 38 = 0 for o. -5 Solve 6*p = 7*p - 2 for p. 2 Solve 20 = -r + 17 for r. -3 Solve 0 = -24*v - 7*v - 93 for v. -3 Solve 0 = -1183*o + 1177*o - 36 for o. -6 Solve 5*x = 18*x + 65 for x. -5 Solve -2*d = -6*d + 20 for d. 5 Solve -69 = 47*n + 213 for n. -6 Solve s + 6 = -2*s for s. -2 Solve -26 = 10*y + 24 for y. -5 Solve -12*o + 7*o + 35 = 0 for o. 7 Solve 3*y - 15 = -2*y for y. 3 Solve 0 = -5*p + 2*p for p. 0 Solve 3*b = 1 + 11 for b. 4 Solve 0 = -2*m - 22 + 32 for m. 5 Solve 35*t + 159 = 88*t for t. 3 Solve -1 = -6*y + 5*y for y. 1 Solve 26*z = 336 - 180 for z. 6 Solve 22*w - 15*w + 28 = 0 for w. -4 Solve 104*y - 901 = 35 for y. 9 Solve 0 = -5*d + 16 + 4 for d. 4 Solve -7*w = 10 + 18 for w. -4 Solve 4*v + 1 = 5 for v. 1 Solve 1 = -4*d + 9 for d. 2 Solve 18*h - 74 = 34 for h. 6 Solve 2*o - 4*o + 6 = 0 for o. 3 Solve -46*v + 64*v - 108 = 0 for v. 6 Solve -154 = 29*o - 51*o for o. 7 Solve 7*c = -6*c - 8*c for c. 0 Solve -9 = -7*f - 16 for f. -1 Solve 6*k + 71*k = -231 for k. -3 Solve -9*u - 41 = 4 for u. -5 Solve -38*l + 29*l - 27 = 0 for l. -3 Solve -619 = 25*c - 694 for c. 3 Solve 35 = -7*t + 7 for t. -4 Solve -389*y = -383*y - 30 for y. 5 Solve -5*f + f = 24 for f. -6 Solve -18*p + 5 = -13*p for p. 1 Solve -30*n = -98*n + 544 for n. 8 Solve -39 - 486 = -105*b for b. 5 Solve 34*r = 26*r - 32 for r. -4 Solve 123*u - 125*u + 4 = 0 for u. 2 Solve -11 = 41*x + 71 for x. -2 Solve 0 = -45*a - 45 for a. -1 Solve -22 = -5*h - 7 for h. 3 Solve -z = -6*z - 5 for z. -1 Solve 2*x + 12 = -x for x. -4 Solve 0 = -11*c - 100 + 133 for c. 3 Solve 3*n + 499 - 520 = 0 for n. 7 Solve 44*s + 6*s = -500 for s. -10 Solve 68 = -27*r + 10*r for r. -4 Solve 5*o = -17 - 8 for o. -5 Solve 30*k - 85 = 125 for k. 7 Solve -6*i = -24 + 6 for i. 3 Solve 19*r = 13*r - 24 for r. -4 Solve 39*c + 30 = -87 for c. -3 Solve -6*q - 2*q = -3*q for q. 0 Solve 0 = 307*u - 322*u - 30 for u. -2 Solve 565*o - 549*o = 160 for o. 10 Solve o = 14*o - 13 for o. 1 Solve -2 = 7*t - 5*t for t. -1 Solve 64*y - 86*y + 22 = 0 for y. 1 Solve 16 = 9*r - 17*r for r. -2 Solve 6*v = 3*v +
{ "pile_set_name": "DM Mathematics" }
-27*m**4 - 5742*m**3 - 9471*m**2 + 5112*m + 10128 = 0. What is m? -211, -4/3, 1 Find m such that m**3 - m = 0. -1, 0, 1 Factor -2*d**2 + 896*d - 4430. -2*(d - 443)*(d - 5) Suppose -65*o**3 - 1310*o**2 - 2540*o - 360 = 0. What is o? -18, -2, -2/13 Factor 3*m**4/2 - 3*m**3 - 12*m**2 + 27*m - 27/2. 3*(m - 3)*(m - 1)**2*(m + 3)/2 Let 85*g**5 - 4920*g**4 + 65805*g**3 + 155710*g**2 + 93900*g + 9000 = 0. What is g? -1, -2/17, 30 Find f, given that -2*f**3/3 + 11*f**2/2 = 0. 0, 33/4 Suppose 5*h**5/3 + 5*h**4 - 25*h**3/3 - 45*h**2 - 160*h/3 - 20 = 0. What is h? -2, -1, 3 Determine w so that 4*w**4/3 - 104*w**3/3 + 836*w**2/3 - 2224*w/3 + 624 = 0. 2, 9, 13 Factor -i**3 - 45*i**2 - 675*i - 3375. -(i + 15)**3 Factor -2*i**2 + 8*i + 10. -2*(i - 5)*(i + 1) Factor 74*n**3 + 292*n**2 - 16*n. 2*n*(n + 4)*(37*n - 2) What is a in 3*a**3 - 546*a**2 + 2148*a - 2136 = 0? 2, 178 Determine c so that -c**5/4 - c**4 + c**3/2 + 3*c**2 - 9*c/4 = 0. -3, 0, 1 Solve -486*u**4 + 73062*u**3 + 48852*u**2 + 32600*u/3 + 2416/3 = 0 for u. -2/9, 151 Find f such that f**2 + 1072*f + 287296 = 0. -536 Suppose -3*g**2/4 - 57*g = 0. Calculate g. -76, 0 Factor -249*w**2 - 248*w + 1. -(w + 1)*(249*w - 1) Factor -12*c**3 + 15*c**2 + 69*c - 18. -3*(c - 3)*(c + 2)*(4*c - 1) Determine d so that 2*d**3/3 - 194*d**2 + 1150*d/3 + 578 = 0. -1, 3, 289 Let -3*p**2 - 1233*p = 0. What is p? -411, 0 Let -m**5/9 - 2*m**4 - 28*m**3/9 + 22*m**2/3 + 29*m/9 - 16/3 = 0. Calculate m. -16, -3, -1, 1 Let 15*n**5 - 3025*n**4 - 1020*n**3 + 2020*n**2 = 0. Calculate n. -1, 0, 2/3, 202 Determine y, given that y**3/6 + y**2/2 - 2*y/3 = 0. -4, 0, 1 Factor -5*c**4 - 20*c**3 + 15*c**2 + 50*c - 40. -5*(c - 1)**2*(c + 2)*(c + 4) Factor 13*k**4 + 93*k**3 + 222*k**2 + 188*k + 24. (k + 2)**2*(k + 3)*(13*k + 2) Factor 12*q**4 + 81*q**3 + 72*q**2 - 240*q. 3*q*(q + 4)**2*(4*q - 5) Factor -4*b**3 + 836*b**2 + 5124*b + 7740. -4*(b - 215)*(b + 3)**2 Factor 4*x**4 - 4*x**3. 4*x**3*(x - 1) Suppose -2*o**5/7 + 148*o**4/7 + 6*o**3/7 - 64*o**2 + 296*o/7 = 0. Calculate o. -2, 0, 1, 74 Factor 3*m**3/4 - 21*m**2/4 - 30*m - 33. 3*(m - 11)*(m + 2)**2/4 What is k in 12*k**5 + 100*k**4 + 296*k**3 + 376*k**2 + 204*k + 36 = 0? -3, -1, -1/3 What is y in -2*y**2/3 + 128*y = 0? 0, 192 Let c**3 - 11*c**2 + 19*c - 9 = 0. What is c? 1, 9 Factor 2*j**4/9 + 2*j**3 - 14*j**2/3 + 22*j/9. 2*j*(j - 1)**2*(j + 11)/9 Factor -i**4/3 - 65*i**3/3 - 224*i**2 - 636*i. -i*(i + 6)**2*(i + 53)/3 Factor -5*p**4 - 25*p**3 + 30*p**2 + 160*p - 160. -5*(p - 2)*(p - 1)*(p + 4)**2 Determine v, given that 2*v**3/9 - 16*v**2 + 288*v = 0. 0, 36 What is u in -2*u**3 - 20*u**2 - 18*u = 0? -9, -1, 0 Determine f, given that -3*f**5/4 - 20*f**4 - 591*f**3/4 - 617*f**2/2 + 120*f = 0. -16, -6, -5, 0, 1/3 Determine o so that 2*o**4/11 - 74*o**3/11 + 720*o**2/11 - 648*o/11 = 0. 0, 1, 18 Solve -2*j**4 - 4726*j**3/11 - 255726*j**2/11 - 205226*j/11 + 45796/11 = 0. -107, -1, 2/11 Factor -4*g**5/7 - 16*g**4/7 + 64*g**2/7 + 64*g/7. -4*g*(g - 2)*(g + 2)**3/7 Factor -5*c**3 + 65*c**2 - 200*c + 180. -5*(c - 9)*(c - 2)**2 Factor 6*z**3/5 - 3072*z**2/5 + 3066*z/5. 6*z*(z - 511)*(z - 1)/5 Let 7*w**5/2 + 2133*w**4/2 - 1383*w**3 - 1834*w**2 + 612*w = 0. Calculate w. -306, -1, 0, 2/7, 2 Find d such that -3*d**3/4 + 45*d**2 - 2871*d/4 + 2523/2 = 0. 2, 29 Determine c so that 2*c**2/15 + 68*c/15 = 0. -34, 0 Find f, given that -2*f**5/7 + 2*f**4/7 + 4*f**3 - 8*f**2 - 16*f/7 + 64/7 = 0. -4, -1, 2 Factor -5*b**2 - 2430*b + 4880. -5*(b - 2)*(b + 488) Solve -3*l**2 + 210*l - 3675 = 0. 35 Solve -5*g**2 + 125 = 0. -5, 5 Factor u**5 + 26*u**4 - 59*u**3 - 80*u**2 + 116*u + 112. (u - 2)**2*(u + 1)**2*(u + 28) Let p**5 - 8*p**4 + 21*p**3 - 14*p**2 - 20*p + 24 = 0. Calculate p. -1, 2, 3 Suppose -4*c**4 + 16*c**3 + 28*c**2 - 40*c = 0. What is c? -2, 0, 1, 5 Determine y so that 5*y**3 - 85*y**2 + 150*y = 0. 0, 2, 15 Let 2*k**4/7 + 38*k**3/7 + 160*k**2/7 - 200*k/7 = 0. Calculate k. -10, 0, 1 Suppose -d**4/7 + 114*d**3/7 - 223*d**2/7 - 114*d/7 + 32 = 0. Calculate d. -1, 1, 2, 112 Factor 4*b**4 - 84*b**3 + 524*b**2 - 684*b - 1296. 4*(b - 9)**2*(b - 4)*(b + 1) Suppose -4802*s**5 + 2058*s**4 + 3234*s**3 - 2786*s**2 + 768*s - 72 = 0. Calculate s. -1, 2/7, 3/7 Let -51*a**3 + 417*a**2 - 72*a = 0. Calculate a. 0, 3/17, 8 Factor 4*q**4 + 32*q**3 - 40*q**2 - 32*q + 36. 4*(q - 1)**2*(q + 1)*(q + 9) Find q such that 6*q**2 + 621*q/2 - 78 = 0. -52, 1/4 Suppose 2*r**5 - 12*r**4 - 8*r**3 + 112*r**2 - 256 = 0. What is r? -2, 2, 4 Factor 3*u**2 - 372*u + 11532. 3*(u - 62)**2 What is o in -3*o**4 - 954*o**3 - 1899*o**2 - 948*o = 0? -316, -1, 0 Solve -2*o**2 - 588*o - 43218 = 0 for o. -147 Suppose -2*u**5/7 - 10*u**4/7 + 18*u**3/7 + 34*u**2/7 - 16*u/7 - 24/7 = 0. What is u? -6, -1, 1, 2 Factor -2*t**2 - 882*t - 880. -2*(t + 1)*(t + 440) Determine h so that 3*h**2/7 - 72*h/7 - 75/7 = 0. -1, 25 Find a, given that a**2 - 5*a - 14 = 0. -2, 7 Let 2*b**5/9 + 4*b**4/3 + 28*b**3/9 + 32*b**2/9 + 2*b + 4/9 = 0. Calculate b. -2, -1 Suppose -2*v**5/7 - 290*v**4/7 - 10356*v**3/7 + 1732*v**2 + 7738*v + 31974/7 = 0. Calculate v. -73, -1, 3 Factor -5*v**3/2 - 45*v**2/2 + 105*v/2 - 55/2. -5*(v - 1)**2*(v + 11)/2 Determine d, given that -20*d**4 + 60*d**3 - 45*d**2 + 10*d = 0. 0, 1/2, 2 Factor -d**2 - 389*d. -d*(d + 389) Factor 2*y**3 + 1014*y**2 + 2022*y + 1010. 2*(y + 1)**2*(y + 505) Solve 3*i**3 + 18*i**2 + 15*i - 36 = 0 for i. -4, -3, 1 Factor 2*i**3/11 + 604*i**2/11 - 3678*i/11 + 504. 2*(i - 3)**2*(i + 308)/11 Solve 3*i**5/8 + 3*i**4/8 - 39*i**3/8 - 3*i**2/8 + 18*i - 27/2 = 0 for i. -3, 1, 2 Suppose 3*n**4/4 - n**3/2 - 37*n**2/4 - 3*n = 0. What is n? -3, -1/3, 0, 4 Determine w, given that -4*w**2/3 - 1172*w/3 + 392 = 0. -294, 1 Factor -2*l**2/5 + 292*l/5 - 10658/5. -2*(l - 73)**2/5 What is z in -2*z**3/3 - 52*z**2/3 - 30*z + 48 = 0? -24, -3, 1 Factor -26*i**2 - 73*i - 30. -(2*i + 1)*(13*i + 30) Factor -2*p**3/9 - 10*p**2/3 + 104*p/9 - 8. -2*(p - 2)*(p - 1)*(p + 18)/9 Determine r, given that -4*r**4 + 72*r**3 - 68*r**2 = 0. 0, 1, 17 Factor 5*h**2 - 540*h + 535. 5*(h - 107)*(h - 1) Find i such that -i**3/4 - 543*i**2/4 - 18894*i - 125692 = 0. -268, -7 Find x such that -4*x**4/3 - 4*x**3/3 + 124*x**2/3 + 244*x/3 + 40 = 0. -5, -1, 6 Factor -2*z**3/15 - 34*z**2/15 + 2*z/15 + 34/15. -2*(z - 1)*(z + 1)*(z + 17)/15 Factor 25205*f**4 - 46150*f**3 - 8340*f**2 - 360*f. 5*f*(f - 2)*(71*f + 6)**2 Solve 15*y**5 + 95*y**4 + 160*y**3 + 80*y**2 = 0 for y. -4, -4/3, -1, 0 Determine v so that 2*v**4/5 + 52*v**3 + 1018*v**2/5 + 1264*v/5 + 504/5 = 0. -126, -2, -1 Find u, given that 2*u**5/11 + 2*u**4 + 36*u**3/11 - 152*u**2/11 - 496*u/11 - 384/11 = 0. -8, -2, 3 Suppose 11*r**3/3 + 37*r**2/3 + 34*r/3 + 8/3 = 0. What is r? -2, -1, -4/11 Factor 4624*y**2/5 - 136*y/5 + 1/5. (68*y - 1)**2/5 Solve -d**4 - 109*d**3 - 210*d**2 + 436*d + 856 = 0. -107, -2, 2 Let z**5 - 4*z**4 + 5*z**3 - 2*z**2 = 0. What is z? 0, 1, 2 Factor -3*c**2 + 660*c - 2592. -3*(c - 216)*(c - 4) Suppose -6*q**4 - 303*q**3 - 3900*q**2 - 1875*q = 0. Calculate q. -25, -1/2, 0 Factor -5*f**2/6 + 40*f/3 - 275/6. -5*(f - 11)*(f - 5)/6 Factor t**2/2 + 27*t/2 + 63. (t + 6)*(t + 21)/2 Let g**3/6 + g**2/3 - 4*g = 0. What is g? -6, 0, 4 Find m such that -2*m**3 - 4*m**2 + 6*m = 0. -3, 0, 1 Factor 3*y**4 + 39*y**3 - 213*y**2 - 99*y + 918. 3*(y - 3)**2*(y + 2)*(y + 17) Factor -15*f**5/4 + 12*f**4 - 27*f**3/2 + 6*f**2 - 3*f/4. -3*f*(f - 1)**3*(5*f - 1)/4 Let 8*j**5/17 - 26*j**4/17 + 50*j**2/17 - 8*j/17 - 24/17 = 0. What is j? -1, -3/4, 1, 2 Factor 3*w**5 + 8*w**4 - 3*w**3 - 12*w**2 + 4*w. w*(w - 1)*(w + 2)**2*(3*w - 1) Determine o, given that -14*o**5 - 24*o**4 + 22*o**3 + 24*o**2 - 8*o = 0. -2, -1, 0, 2/7, 1 Factor 2*q**4 - 224*q**3 + 6036*q**2 + 13680*q - 19494. 2*(q - 57)**2*(q - 1)*(q + 3) Factor -3*c**3/7 + 79*c**2/7 - 24*c/7 - 52/7. -(c - 26)*(c - 1)*(3*c + 2)/7 Find x, given that 2*x**5 - 94*x**3 - 252*x**2 - 160*x = 0. -5, -2, -1, 0, 8 Factor -2*a**3/17 - 42*a**2/17 - 240*a/17 - 200/17. -2*(a + 1)*(a + 10)**2/17 Suppose y**5 - 5*y**4 + 7*y**3 - 3*y**2 = 0. What is y? 0, 1, 3 Find l, given that -l**3 + 69*l**2 - 1587*l + 12167 = 0. 23 Suppose -2*u**4/3 - 16*u**3/3 + 40*u**2/3 = 0. What is u? -10, 0, 2 Factor -35*w**2 - 895*w + 390. -5*(w + 26)*(7*w - 3) Factor 2*m**2/13 - 2*m/13. 2*m*(m - 1)/13 Factor 2*
{ "pile_set_name": "DM Mathematics" }
. Let v(f) = 3*f + 15. Let y be v(-7). What are the prime factors of k(y)? 2 Suppose 41*k + 30 = 46*k. List the prime factors of k. 2, 3 Let f(i) = -i**2 + 8*i + 7. Let b be f(6). Let l = b - 7. Suppose -4*a = -2*s - a + l, 0 = 5*s - a - 30. What are the prime factors of s? 2, 3 Let x = 19 - 12. Suppose x*q = 4*q. What are the prime factors of 1*(-3 + q)*-5? 3, 5 Let h = -11 - -23. Suppose 6*r = 3*r + h. Suppose 3*c - 8*c + 2*l + 28 = 0, r = 5*c + 4*l. What are the prime factors of c? 2 Let w = -21 + 36. Suppose 5*g - 1 = i + 4, g + 3*i + w = 0. Suppose g*l + l + 12 = 2*o, -o + 4 = -l. List the prime factors of o. 2 Let u = 389 + -191. List the prime factors of u. 2, 3, 11 Suppose 3*p - 24 = -4*y, -6 = 5*y + 5*p - 41. Suppose -y*d = 4*k + d, -5*d = 25. Let r = k + 5. What are the prime factors of r? 2, 5 Let m(g) = g**3 - 3*g**2 + g + 1. Let a be m(3). Suppose -5*s - 14 = 2*z - s, -a*z - 3*s = 3. List the prime factors of z. 3 Suppose 0 = -9*c + 11*c - 6. What are the prime factors of c? 3 Suppose 0 = -2*m - v - 1, -2*m - v = 2*m + 5. Let d = m + 7. List the prime factors of d. 5 Let x = 266 - 132. What are the prime factors of x? 2, 67 Suppose -3*c + y = -2*c + 4, -5*y - 7 = 4*c. Let n(k) = -k**2 - 2*k - 3. Let u be n(c). Let g(o) = o + 11. List the prime factors of g(u). 5 Let y be (-43)/(-2 + -1 + 2). Let i = y - 26. What are the prime factors of i? 17 Let m be (-21)/(-9) - 2/6. Let j = m + 3. Suppose 2*u + 3 - 13 = -t, j*u - 24 = -3*t. List the prime factors of u. 2, 3 Let n = -2 - -2. Suppose n = 4*x - 3*w - 61, x - 4*x - 5*w + 24 = 0. List the prime factors of x. 13 Let y = -7 + 3. Let a be (4 - 0)/(y/10). Let v = a - -21. What are the prime factors of v? 11 Let q(j) = j + 1. Let m be q(-1). Suppose m*c + c = 11. What are the prime factors of c? 11 Let w be 10*(3 - (0 + -1)). Suppose -2*o - 4 = 4*r, -5*o + 4*o + 22 = -4*r. Suppose f = o*f - w. What are the prime factors of f? 2 Suppose 0 = -4*b + 4*m - 4, -5 = -4*m + 7. Suppose -11 - 24 = -3*t - b*j, 10 = -5*j. List the prime factors of t. 13 Let d(o) = -16*o**3 - o**2 + 3*o + 2. Let b be d(-2). Suppose 3*y + 2*y = b. Suppose 0 = -0*g + 4*g - y. What are the prime factors of g? 2, 3 Suppose 0 = 5*q - 4*q. Suppose -5*f = k - 10, 10 = -q*k + 3*k - 5*f. Suppose -10 = -4*u + b, 0*b = -k*u + 2*b + 11. What are the prime factors of u? 3 Let x be 8/(-16)*(-1 - -5). Let f be (x/(-4))/((-5)/(-10)). List the prime factors of (-159)/(-9) + f/3. 2, 3 Let g = -68 + 28. Let l = g - -64. List the prime factors of (l/(-20))/(2/(-20)). 2, 3 Let n(o) = o**3 - 5*o**2 + 5*o. Let s be n(4). Suppose 2 + 1 = -a + 2*w, 5*w = -s*a + 14. Let u = 14 - a. List the prime factors of u. 13 Let t be 26/(-4) - 10/(-20). Let d(m) = -28*m + 2. Let q be d(2). What are the prime factors of (2/t)/(6/q)? 3 Suppose 167 + 12 = n. List the prime factors of n. 179 Suppose 4*l - 8*l + 8 = 0. Let m(g) = 24*g + 4. What are the prime factors of m(l)? 2, 13 Suppose -7*d + 132 + 274 = 0. List the prime factors of d. 2, 29 Let w(c) = 5*c**2 - 2*c - 15. What are the prime factors of w(-5)? 2, 3, 5 Let i = -13 + 18. Suppose 0*d = d - 2*u - 10, 0 = -i*d - 5*u - 25. Suppose d*l = l - 7. List the prime factors of l. 7 What are the prime factors of 12 - -6*(-1)/(-2)? 3, 5 Let u(j) = -j**3 - 9*j**2 + 5. Let g be u(-9). Suppose -g*y + 1 = 11. Let a(r) = -r**3 - 2*r - 3. List the prime factors of a(y). 3 Let o = 6 - 6. Suppose 4*p + 3*h = -0*p + 30, -2*p + 5*h + 2 = o. What are the prime factors of p? 2, 3 Let y(s) = 9*s + 5. List the prime factors of y(3). 2 Suppose 4*w - 51 = w. What are the prime factors of w? 17 What are the prime factors of 1 - (-32 - 0/(-2))? 3, 11 Let l(u) = u**3 - 2*u**2 - 4. Let x be l(3). Suppose -x*o = -0*o. Suppose 0*i + 9 = 2*v - 3*i, o = v - 4*i - 2. List the prime factors of v. 2, 3 Let i(w) = w**3 - 4*w**2. Let y be i(6). Suppose h = 5*h - y. List the prime factors of h. 2, 3 Let q(o) = -o + 11. Let j be q(9). Suppose -2*k - 4 = 0, 2 - 6 = -g + 4*k. Let d = j - g. List the prime factors of d. 2, 3 Let x(y) = 7*y**2 + 2*y + 16. Let v(t) = 3*t**2 + t + 8. Let i(f) = 5*v(f) - 2*x(f). List the prime factors of i(0). 2 Let m be (-2)/((-1)/(18/(-4))). Let l = m + 17. List the prime factors of l. 2 Suppose 3*y - y = -3*f, -5*y = 4*f. Suppose -v - 4*r + 2*r - 17 = y, -33 = 3*v - 3*r. List the prime factors of (-3)/(0 - -3) - v. 2, 3 Let u = 4 + -1. Suppose 3*v - 5*f = 11 + 2, 3*f = u*v - 9. Suppose 5 = 2*j + v. List the prime factors of j. 2 Suppose 192 - 60 = 4*j. Let b = -2 + j. Suppose 9 = 5*x - b. What are the prime factors of x? 2 Suppose -9 = -3*q - l, 3*q - 9 = l - 0. What are the prime factors of (24 - 0)/2 - q? 3 Suppose 0 = 4*x + x + 70. Let b = -1 - x. List the prime factors of b. 13 Let y = 81 + -30. List the prime factors of y. 3, 17 Suppose -3*j = -4*j - 5. Let b = j - -8. List the prime factors of b. 3 Suppose 1700 = 7*t + 3*t. List the prime factors of t. 2, 5, 17 Let q = -5 - -7. Suppose r + 0*r - q = 0. Suppose -b + r = -4. What are the prime factors of b? 2, 3 Let t(m) = -m + 16. Let z be t(9). Suppose 4*q - 17 = -2*a - z, -4*q + 4*a + 16 = 0. List the prime factors of 1/(-1) + (9 - q). 5 Let k(b) = -b**3 + 7*b**2 + 9*b - 8. Let g be k(8). Let n be g - -2 - 3/1. List the prime factors of 14/(n - 3*-1). 7 Let z(y) = -y**3 + 5*y**2 + y. Let f = -12 - -2. Let x(t) = -t**3 - 10*t**2 - t - 5. Let i be x(f). List the prime factors of z(i). 5 Suppose 14*t - 136 = 2776. What are the prime factors of t? 2, 13 Let t(n) be the second derivative of 7*n**3/3 - n**2/2 + 2*n. Let z be t(4). Suppose -5*c + 40 = -z. List the prime factors of c. 19 Suppose 79 = 5*r - 21. Suppose t - 2 = -2*q + 3*q, 0 = 5*q + t - r. Suppose 8 = -m + q*m. List the prime factors of m. 2 Let w(u) be the second derivative of u**4/4 - u**3/2 + 3*u**2/2 - u. Suppose -4*c + 5 = -3. What are the prime factors of w(c)? 3 Let z(d) = d**3 - 10*d**2 - d + 26. Let n be z(10). Suppose 21 = -c + 4*c. Let s = n - c. List the prime factors of s. 3 Suppose 0 = i + a - 5 - 1, -2 = 2*a. Let c = i + 10. List the prime factors of c. 17 Suppose -5 - 1 = -2*t. Suppose 6 = 3*y + t*p, 3*y = -y - 5*p + 10. Suppose 0 = -y*r + r - 4. List the prime factors of r. 2 Let n(b) = 2*b**2 - 11*b - 12. What are the prime factors of n(9)? 3, 17 Let v(q) = 5*q**2 - q**2 + q**2 - 3 + 8*q - 4*q**3 + 3*q**3. List the prime factors of v(6). 3 Suppose 4*i + 3*b = -0*b + 293, 4*i + b = 287. List the prime factors of i. 71 Let c(r) = -r**2 - 7*r + 2. Let n be c(-8). List the prime factors of n/(-15) - (-276)/10. 2, 7 Let m be (-4)/(((-8)/(-10))/(-2)). Let h = 14 - m. List the prime factors of h. 2 Let i be 3 + ((-2)/2 - -2). Let m be 1*(-2)/i*-2. What are the prime factors of (-141)/(-12) - m/(-4)? 2, 3 Suppose -4*l = -5*l. Suppose -3*t - 154 = 2*u - 7*u, -3*t - 9 = l. What are the prime factors of u? 29 Let d(l) = -7*l**3 - 2*l**2 - l - 6. List the prime factors of d(-2). 2, 11 List the prime factors of (-3)/(-1) + 29 + -2. 2, 3, 5 Let d(j) = 1 + 0 - j + 2*j. Let s be d(-3). List the prime factors of s/(-6) - 23/(-3). 2 Let l = -7 - -10. Suppose 4*g + 16 - 68 = -4*r, -2*r + 21 = 3*g. Suppose 2*m + 2*k - r = 0, l*k + 29 = 7*m - 3*m. List the prime factors of m. 2 Suppose c = 6*c - 110. What are the prime factors of c? 2, 11 Let x = -11 - -3. Let y = -2 - x. What are the prime factors of y? 2, 3 Let w(h) = -5 + 3 + 3*h - h**2 + h. Let c be w(2). Suppose 5*k - 10 - 32 = c*u, 50 = 3*k + 5*u. List the prime factors of k. 2, 5 Let n(s) = -s**2 + 8*s - 3. Let f = 9 - 5. Let y be (f/6)/(6/54). List the prime factors of n(y). 3 Let k = 0 - -4. Suppose 67 = -k*n + 15. Let j = 24 + n. List the prime factors of j. 11 Suppose 33 = 2*l + f, l + 0*l + 2*f = 18. Suppose 6*i = 5*i - 8. Let d = l + i. List the prime factors of d. 2 Suppose 0 = 210*v - 205*v - 1800. List the prime factors of v. 2, 3, 5 Suppose 5*u - 309 - 171 = 0. List the prime factors of u. 2, 3 Let b(x) = x**2 + 12*x + 13. Let r be b(-11). Let d(u) = -u**3 - 2*u**2 - 2. Let v be d(r). Let c = -10 - v. List the prime factors of c. 2 Let v(m) = -m**3 + 10*m**2 + 3. Let s be v(10). Suppose -5*z + 5*c + 45 = 0, z = -3*z - s*c + 64. What are the prime factors of z? 13 Let y = -8 - -8. Let i be y + 0 - 1/(-1). List the prime factor
{ "pile_set_name": "DM Mathematics" }
1)/j - 23/(-12) and 45/14. 84 Suppose 3 = n - 0. Let u = -2 + 2. Calculate the smallest common multiple of n and 6/4*(2 + u). 3 Let d = 318/11 + -3241/44. Let b = d + 45. Let j = 4920/11 - 893/2. Find the common denominator of b and j. 44 Calculate the common denominator of -6 - (-160)/25 - (-272)/(-30) and (-4)/2 + (-162)/(-8). 12 Let c be 2 + (1 - 1) + 0. Suppose c*v + 16 = 90. Let k = -17 + v. What is the least common multiple of k and 6? 60 Suppose -5*t - 3*i + 36 = -0*i, -5*t - 4*i = -33. Suppose 6 = 5*l - 2*l. What is the lowest common multiple of t and l? 18 Suppose -5*x - 5 = m, 2 = -2*x - 4*m + 6*m. Let z be 11 + x + 0 + 0. Let a = z + -1. Calculate the smallest common multiple of a and 2. 18 Let u(i) = -i**3 - 22*i**2 - 22*i + 4. Calculate the least common multiple of 3 and u(-21). 75 Suppose -4*z + 728 = -5*s, 2*z + 489 + 257 = -5*s. Let a be s/(-16) - 1/4. Let c(g) = -g**3 + 9*g**2 + 6. Calculate the least common multiple of 1 and c(a). 6 Suppose -54 = 29*d - 170. Calculate the lowest common multiple of 3/2 + (-2)/(-4) and d. 4 Let z(u) = -u**3 - 4*u**2 - 3*u + 2. Suppose -2*o + 0*o = 3*g + 139, -138 = 3*g + 3*o. Let q = 67 + g. What is the lowest common multiple of q and z(-3)? 20 Suppose -2*f = -5*f + 24. Let g(t) = t**2 - 2. Let i be g(2). What is the least common multiple of f and (-32)/(-20) - i/(-5)? 8 Let h(m) = m**3 - 2*m**2 - m - 1. Suppose 8*s - 6*s = 6. Calculate the least common multiple of h(s) and 9. 45 Let w be -2 - (-7)/(469/90). Let r = 33/1072 - w. Let j = 2199/8 + -276. Calculate the common denominator of j and r. 16 Let y = -28 + 25. Let r be 2/3*3 - -4. Find the common denominator of r*y/80*4 and -17/22. 110 Let a = 2970/7 + -35129/84. What is the common denominator of a and -53/30? 60 Let c(u) = u**2 + 10*u - 5. Let y be c(-8). Let v = 27 + y. Calculate the smallest common multiple of 10/3 + (-6)/(-9) and v. 12 Calculate the common denominator of 31/19 and (15 - 14)/(18/52). 171 Suppose 5*r - 34 = -354. Let o be (r/30)/(616/(-12)). Let l = o - -16459/2310. Find the common denominator of l and -1/10. 30 Let w = -4 + 20. Calculate the least common multiple of w and 2/(-1)*-1 - 0. 16 Let l(o) = -5*o + 12. Calculate the lowest common multiple of l(0) and 24. 24 Let q(j) = 6*j**2 + 50*j + 46. Let m(b) = b**2 + 10*b + 9. Let h(g) = 11*m(g) - 2*q(g). What is the lowest common multiple of h(10) and 2? 14 Let v(a) = -a**3 - 3*a**2 + 5*a + 6. Calculate the lowest common multiple of 4 and v(-4). 4 Let k be 4 + 6/(-1) + 6. Calculate the common denominator of (2/k)/(21/77) and -133/6. 6 Let i = 3 + -5. Let j be ((-3)/i - 1)*-78. Find the common denominator of 123/10 and (-2)/1 - j/(-4). 20 Suppose -4*g + 148 = 4*k, 4*g + 114 = 3*k + 10. Calculate the smallest common multiple of k and 4. 36 Suppose -2*s = -4*f + 56, 2*s + 14 + 12 = 2*f. Calculate the least common multiple of 9 and f. 45 Suppose 0 = -q - 4*q - 5. Let u(i) = -18*i. What is the least common multiple of u(q) and 14? 126 Suppose 8*h = 3*h + 5. Let x be (-1)/(-1) - (h - 1). What is the lowest common multiple of 12 and 11*(2/x - 0)? 132 Let x = 9 - -15. Calculate the least common multiple of x and 40. 120 Suppose -u = -4*u - 6, 0 = -5*y - 4*u - 98. What is the smallest common multiple of 9 and (32/y + 2)*9? 18 Suppose -5*w + 11 = 1. What is the lowest common multiple of w and 14? 14 Let s = -11 + 17. Suppose 4*x + 0*x + 8 = 0. Calculate the least common multiple of 34/4 + (-3)/x and s. 30 Let m(h) = -9*h. Let z(c) = -c**3 + 5*c**2 - 5*c - 1. Let q be z(4). Let d(k) = -2*k - 6. Calculate the lowest common multiple of d(q) and m(-2). 36 Let v(g) = -g + 1. Let f be v(3). What is the lowest common multiple of 10 and (f + 0)/(2/(-8))? 40 What is the common denominator of 41/3 and 3/(243/156) + -3? 27 Let z be 80/24 - 4/(-6). What is the least common multiple of 20 and (-30)/z*12/(-5)? 180 Suppose 64 = 14*n - 10*n. What is the lowest common multiple of 20 and n? 80 Calculate the common denominator of 55/4 and (-474)/(-90) + (-2)/(-5). 12 Let u = 32767/690 - -4/345. What is the common denominator of 109/6 and u? 6 Suppose 3*z - 4 - 122 = 0. Suppose j + u = -0*j + z, 6 = 3*u. Suppose -f = -3*f + j. Calculate the smallest common multiple of f and 18. 180 Let a be (44 - 1)*3/3. Let t be (0 + 1)*(2 - a). Find the common denominator of (2/16)/(2/t) and -81/14. 112 Let o = 19 + -17. Suppose -4*n + 0*n = o*q - 36, -2*n + 24 = 4*q. What is the smallest common multiple of n and 1? 8 Let g(j) = -24*j - 13. Calculate the least common multiple of 30 and g(-2). 210 Let t be (-3 + -1)*(-9)/(-2). What is the least common multiple of 6/((t/3)/(-3)) and 7? 21 Let d = -11 + 19. Let m = 25 + -5. Calculate the smallest common multiple of d and m. 40 Suppose 2*w + 7 = 3*w - 2*x, -5*w = -4*x - 23. What is the common denominator of 13/5 and (-388)/24 + w + -2? 30 Suppose j - 4*n = -0*j + 32, 3*j = 5*n + 75. Let r = 2 + -1. Calculate the common denominator of (-665)/(-30) - 3*r and j. 6 Let u = -16815 - -370019/22. Calculate the common denominator of u and -1/16. 176 Let q = -197758529/246142 - -91/9467. Let s = q - -803. Find the common denominator of s and 41/4. 52 Let f(d) = -d**2 - 5 - d**3 + 4 + 5. What is the lowest common multiple of 20 and f(0)? 20 Let i = -5267/12 + 434. Let n(r) = 31*r**2 - 13*r - 20. Let o be n(-8). Let w = o - 28869/14. Find the common denominator of i and w. 84 Calculate the smallest common multiple of 1 and -1*(-2 + (-3)/(-3)). 1 Let i be ((-3)/(-96))/((-122)/12). Let f be (-1623)/(-366) - 0/(-2). Let t = f - i. What is the common denominator of t and 29/12? 48 Find the common denominator of ((-3180)/(-3280))/(6/(-4)) and -57/2. 82 Let x be 1075/(-220) + 1/(-4). Let v = -422/11 + x. Find the common denominator of v and 83/20. 20 Let i = 329/363 + 1/363. Calculate the common denominator of i and -12/5. 55 Let c(w) = -w**3 - 5*w**2 + 7*w - 2. Let i be c(-6). What is the common denominator of (i/(-180))/(2/(-140)) and 13/10? 90 Let i(y) = y**2 + y + 3. Suppose -36 = -c - 2*c. Let a = 20 - c. What is the lowest common multiple of i(-3) and a? 72 Let i(y) = 4*y - 5*y + 7 + 2*y + 0*y. Calculate the smallest common multiple of 10 and i(-5). 10 Let x = 61 - 29. What is the common denominator of 7 and x? 1 Let c(s) = -1635*s - 8. Let n be c(7). Let d = n - -68569/6. What is the common denominator of 127/18 and d? 18 Suppose 0 = -2*f - 4*s + 22, -s - 7 = f - 5*s. Suppose 0 = -f*h + 2*d - 8 + 29, -3*d - 9 = -3*h. Calculate the lowest common multiple of 11 and h. 55 Let n = -10 - -20. Let h = -7 + 15. Suppose k + 2 = h. Calculate the least common multiple of k and n. 30 Let w = -824/75 - -213/25. Calculate the common denominator of -7/4 and w. 60 What is the lowest common multiple of 7/((-14)/(-12)) + 0 and 10? 30 Suppose z - 5*z + 44 = 0. Suppose 0 = -o + 4*o - 9. Suppose -o*i = -z - 16. What is the lowest common multiple of i and 7? 63 Suppose o + 2*m = -m + 40, 0 = -o + m + 36. Let q = -26 + o. What is the smallest common multiple of q and (-1)/((2/(-16))/1)? 88 Suppose -24 = -2*n + a - 5*a, 4*n + a = 55. Suppose -4*q + 5 = 17. Calculate the smallest common multiple of n and (45/(-12))/(q/8). 70 Let d = -8 + 6. What is the common denominator of (90/44)/(d/(-4)) and 63/10? 110 Let a = 5395 + -118653/22. Calculate the common denominator of -1*158/32 - -2 and a. 176 Suppose 2*t - 5*n - 32 = 0, 8*t - 3*t + n - 26 = 0. Let x be 5 + -6 - (-42)/2. Suppose 35 + x = 5*g. What is the lowest common multiple of g and t? 66 Let o = 7365/4 - 1864. Find the common denominator of -39/10 and o. 20 Let t be (-2)/(-2) - 180084/(-247434). Let a = -2/3749 + t. What is the common denominator of a and -3/11? 11 Let h be 12/(-46)*(-26)/(-4). Let p = 65409 + -30088161/460. Let f = p - h. Find the common denominator of f and 89/16. 80 Let r(h) = -23*h - 1. Let i be r(-8). Let l = i - 521/3. Find the common denominator of -67/4 and l. 12 Let f = 4/89 + -10097/890. Calculate the common denominator of f and (48/22 - -2)*1. 110 Find the common denominator of 2/5 - (-129)/(-10) and 4/(-12*4)*(-348)/(-16). 16 Let l = 23/12 + -17/4. Let f = -575199 + 4045450/7. Let s = f - 2716. Find the common denominator of l and s. 21 Suppose 5 = 3*a + 2*a. Suppose 0*j - 4*j + 28 = 0. Calculate the lowest common m
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from wbmmbdtmdmmtbdmbm? 7/272 Calculate prob of sequence vmw when three letters picked without replacement from {m: 8, v: 1, w: 4, q: 2}. 16/1365 Calculate prob of sequence aa when two letters picked without replacement from iiiaaii. 1/21 Calculate prob of sequence vbzv when four letters picked without replacement from ybyyzbyyubbuvvvyzyy. 1/1938 Calculate prob of sequence ov when two letters picked without replacement from {p: 1, o: 1, v: 1, q: 1, n: 1}. 1/20 Two letters picked without replacement from llllll. Give prob of sequence ll. 1 Calculate prob of sequence sqku when four letters picked without replacement from {u: 5, f: 4, y: 4, s: 1, k: 3, q: 1}. 1/4896 Two letters picked without replacement from yyggrhq. Give prob of sequence ry. 1/21 Two letters picked without replacement from {f: 1, t: 1, d: 1, r: 1, a: 1}. What is prob of sequence ft? 1/20 What is prob of sequence kkkb when four letters picked without replacement from kkbbbkkkkkk? 7/55 Calculate prob of sequence ll when two letters picked without replacement from qlltrhrrthrhrh. 1/91 Calculate prob of sequence sb when two letters picked without replacement from {h: 1, s: 2, b: 3, y: 1}. 1/7 Two letters picked without replacement from prww. Give prob of sequence pr. 1/12 Two letters picked without replacement from {k: 2, f: 2, p: 6, d: 3}. Give prob of sequence kp. 1/13 Calculate prob of sequence euie when four letters picked without replacement from {p: 1, h: 2, u: 1, s: 2, e: 2, i: 1}. 1/1512 Three letters picked without replacement from {k: 3, e: 7}. What is prob of sequence eke? 7/40 Four letters picked without replacement from xpttuxtytutt. What is prob of sequence yxtt? 1/198 Four letters picked without replacement from njjnjjjjjjnj. Give prob of sequence jjnn. 2/55 Calculate prob of sequence hs when two letters picked without replacement from ssyhydsssyw. 1/22 What is prob of sequence ppp when three letters picked without replacement from {l: 5, p: 11, e: 1, m: 3}? 11/76 Four letters picked without replacement from jjjbbbjbbbbbbbbbjj. What is prob of sequence bbjb? 11/102 What is prob of sequence awwa when four letters picked without replacement from aaaawaawaa? 1/45 Calculate prob of sequence xx when two letters picked without replacement from yxxxxxy. 10/21 Calculate prob of sequence nn when two letters picked without replacement from onoouunkkkdnouo. 1/35 What is prob of sequence hd when two letters picked without replacement from {d: 2, f: 2, m: 3, n: 1, h: 4}? 2/33 Four letters picked without replacement from {b: 8, r: 6, f: 2, g: 3}. Give prob of sequence fbbf. 7/5814 Four letters picked without replacement from {i: 1, v: 1, f: 2, j: 2}. What is prob of sequence fjvf? 1/90 Four letters picked without replacement from {c: 1, n: 4, b: 3, v: 3, m: 1, t: 3}. Give prob of sequence mvnc. 1/2730 Four letters picked without replacement from yiuiuiiueeitiyeiuiu. Give prob of sequence eeue. 5/15504 What is prob of sequence kv when two letters picked without replacement from {v: 1, q: 1, x: 1, k: 1, o: 1}? 1/20 What is prob of sequence qqq when three letters picked without replacement from zzqzqqq? 4/35 What is prob of sequence ggs when three letters picked without replacement from gygwvoos? 1/168 Calculate prob of sequence wwm when three letters picked without replacement from mmdwdmddddwddwmm. 1/112 Two letters picked without replacement from {k: 2, w: 5}. Give prob of sequence ww. 10/21 Two letters picked without replacement from {l: 7, r: 6, f: 2}. Give prob of sequence ff. 1/105 Three letters picked without replacement from kkkkkckk. What is prob of sequence kkc? 1/8 Calculate prob of sequence bbvb when four letters picked without replacement from {v: 3, b: 9}. 7/55 Four letters picked without replacement from {f: 2, e: 6}. Give prob of sequence feef. 1/28 What is prob of sequence bmmx when four letters picked without replacement from bmbbxzeemgezm? 3/2860 What is prob of sequence ssag when four letters picked without replacement from {a: 4, g: 3, s: 7}? 3/143 What is prob of sequence gccg when four letters picked without replacement from cccgcccccgccccccggcc? 8/323 Calculate prob of sequence unuf when four letters picked without replacement from {n: 7, u: 2, f: 11}. 77/58140 What is prob of sequence plp when three letters picked without replacement from {l: 3, p: 3}? 3/20 Two letters picked without replacement from fdfdefeefddfffffdfed. Give prob of sequence fd. 3/19 Two letters picked without replacement from {v: 9, s: 3, e: 1, a: 2, b: 2}. Give prob of sequence sv. 27/272 Four letters picked without replacement from {u: 5, d: 2, t: 3}. What is prob of sequence utdu? 1/42 What is prob of sequence ycgg when four letters picked without replacement from cyypgcyygpyyypccgypy? 3/1615 Three letters picked without replacement from {k: 2, p: 1, s: 3, o: 5, m: 1}. What is prob of sequence sok? 1/44 Four letters picked without replacement from mhurmmwmwmmmmnrmrmm. What is prob of sequence hmmn? 55/46512 Calculate prob of sequence pzip when four letters picked without replacement from ipipzzzppz. 2/105 Three letters picked without replacement from vfuvujye. Give prob of sequence uve. 1/84 Two letters picked without replacement from {k: 4, h: 1, z: 2, j: 3, o: 1}. Give prob of sequence zh. 1/55 What is prob of sequence zpz when three letters picked without replacement from {t: 1, i: 1, x: 2, z: 2, p: 2}? 1/84 Four letters picked without replacement from aiadaddaiiuauuuiuud. What is prob of sequence aaaa? 5/3876 Two letters picked without replacement from ddddkdxksxdkduggkdxx. Give prob of sequence xs. 1/95 Two letters picked without replacement from uiuixhvvfxif. What is prob of sequence uu? 1/66 What is prob of sequence dx when two letters picked without replacement from llgdldxl? 1/28 Three letters picked without replacement from {p: 1, c: 4, a: 7, k: 4, x: 3, o: 1}. What is prob of sequence apc? 7/1710 What is prob of sequence ahh when three letters picked without replacement from {a: 3, h: 2}? 1/10 Calculate prob of sequence vn when two letters picked without replacement from vvjtvvnvv. 1/12 Calculate prob of sequence yhy when three letters picked without replacement from yhyyhyh. 6/35 Two letters picked without replacement from {p: 1, g: 2, i: 6, s: 3, h: 1}. Give prob of sequence ip. 1/26 Three letters picked without replacement from {j: 5, q: 1, v: 1, k: 4, m: 1}. What is prob of sequence vmj? 1/264 Two letters picked without replacement from {v: 2, d: 3}. Give prob of sequence vv. 1/10 Two letters picked without replacement from {b: 3, j: 7}. Give prob of sequence bj. 7/30 Calculate prob of sequence ee when two letters picked without replacement from {e: 3, g: 9}. 1/22 What is prob of sequence wtwp when four letters picked without replacement from {p: 1, k: 1, w: 9, t: 5}? 3/364 What is prob of sequence js when two letters picked without replacement from {s: 3, j: 2}? 3/10 What is prob of sequence ggg when three letters picked without replacement from {t: 2, g: 4, y: 4}? 1/30 What is prob of sequence hhhh when four letters picked without replacement from phhphppphppppppphp? 1/612 Three letters picked without replacement from jzdojzzzd. Give prob of sequence djd. 1/126 Four letters picked without replacement from icttppiicit. Give prob of sequence cpct. 1/660 Calculate prob of sequence id when two letters picked without replacement from {i: 1, d: 2, z: 1}. 1/6 Three letters picked without replacement from {y: 2, u: 16}. Give prob of sequence uuu. 35/51 What is prob of sequence spss when four letters picked without replacement from {s: 6, p: 2}? 1/7 Two letters picked without replacement from {j: 1, o: 3, a: 1, v: 3, i: 3, f: 8}. Give prob of sequence vv. 1/57 What is prob of sequence rk when two letters picked without replacement from {k: 2, r: 9}? 9/55 Two letters picked without replacement from zppzppzzzppzppzp. Give prob of sequence zz. 7/40 What is prob of sequence sia when three letters picked without replacement from sasaaaiaainosaioie? 7/408 Three letters picked without replacement from {n: 2, d: 3, p: 10}. Give prob of sequence dpn. 2/91 Three letters picked without replacement from wwwjjwphhhhhjpjwwhhr. What is prob of sequenc
{ "pile_set_name": "DM Mathematics" }
.895, -2, 2/5, 4 Sort 923, 1, 1/5, -1/9 in descending order. 923, 1, 1/5, -1/9 Put -3, -19.154, -2 in ascending order. -19.154, -3, -2 Put 0.4, 420, 87/2, -2/5, -1 in decreasing order. 420, 87/2, 0.4, -2/5, -1 Put -1/5, 40/9, -4, -10 in decreasing order. 40/9, -1/5, -4, -10 Sort 400, 25, -5, 1, -4, 5. -5, -4, 1, 5, 25, 400 Put -752, -0.1, 3, -4, -2, 4 in decreasing order. 4, 3, -0.1, -2, -4, -752 Sort 6/19, 142, 0.4, -3. -3, 6/19, 0.4, 142 Sort -3, -16, -4, 21. -16, -4, -3, 21 Put 0.1, -2/3, -1, 327, -2/7, -1/2 in decreasing order. 327, 0.1, -2/7, -1/2, -2/3, -1 Put -3, 1/10, 58161, -4 in descending order. 58161, 1/10, -3, -4 Sort 18, -5, -91, -1, 6 in decreasing order. 18, 6, -1, -5, -91 Put -1/3, 21/142, -2 in ascending order. -2, -1/3, 21/142 Sort -533, 5, -5, -2, 0 in ascending order. -533, -5, -2, 0, 5 Put 0, 3, -280, -4, -2 in descending order. 3, 0, -2, -4, -280 Put 7.9, -9, 0.05 in descending order. 7.9, 0.05, -9 Sort 10, -22, -4, -5, -1/3 in descending order. 10, -1/3, -4, -5, -22 Sort 4, -3, 748, 2924. -3, 4, 748, 2924 Put -84, -3, -15, -26, 3 in increasing order. -84, -26, -15, -3, 3 Sort -0.2, 9, -4877 in increasing order. -4877, -0.2, 9 Sort -0.05, -0.5, 4/31, -1/8, 1/15 in increasing order. -0.5, -1/8, -0.05, 1/15, 4/31 Put 34, -99, -1, 1 in increasing order. -99, -1, 1, 34 Sort -2, -4, -74/19. -4, -74/19, -2 Sort 59, 1, -5, 15, -1, 2 in descending order. 59, 15, 2, 1, -1, -5 Put -30, 5, 4, -7, -31 in descending order. 5, 4, -7, -30, -31 Sort 367, 3/35, 34 in increasing order. 3/35, 34, 367 Sort -157, -1, 7, 0, 1. -157, -1, 0, 1, 7 Put 10, 2, -2, 0.0607 in increasing order. -2, 0.0607, 2, 10 Sort 45, 185/21, -0.01. -0.01, 185/21, 45 Put -12, 14173, -1, -4 in decreasing order. 14173, -1, -4, -12 Sort -4, 0.2, -1, 4/1935 in increasing order. -4, -1, 4/1935, 0.2 Put 0.5, 10, 4/49 in decreasing order. 10, 0.5, 4/49 Put -1.2, 293, 3, -1/7 in decreasing order. 293, 3, -1/7, -1.2 Put -2, 19, -1, 1307 in descending order. 1307, 19, -1, -2 Sort -12, 0.6, -0.074, -9, 0, -5. -12, -9, -5, -0.074, 0, 0.6 Sort -15/13, -0.2, 1/3. -15/13, -0.2, 1/3 Sort -14, 1, -111, 5 in descending order. 5, 1, -14, -111 Put 2, 1, 1290 in increasing order. 1, 2, 1290 Put 2/11, -4, -90, -0.2, 0 in increasing order. -90, -4, -0.2, 0, 2/11 Sort 1/12, -0.08, -2/9, -3, -1. -3, -1, -2/9, -0.08, 1/12 Sort -2/3, -3434, -0.07 in increasing order. -3434, -2/3, -0.07 Sort -18, 6, 185 in increasing order. -18, 6, 185 Sort -12, 5, 31 in descending order. 31, 5, -12 Sort -3194, -6, 4 in decreasing order. 4, -6, -3194 Put -3, 7, -1, 8 in ascending order. -3, -1, 7, 8 Sort -1, 0, 1, -4, -1670 in descending order. 1, 0, -1, -4, -1670 Sort 3, -297, 72. -297, 3, 72 Put -6, -3, -12, 43 in decreasing order. 43, -3, -6, -12 Sort 6, -4664, -73. -4664, -73, 6 Put -3, 2, -1, 8571, -7 in increasing order. -7, -3, -1, 2, 8571 Sort 16/7, 89.63, 0.3. 0.3, 16/7, 89.63 Sort 15, 1.29, 7, 2/9 in ascending order. 2/9, 1.29, 7, 15 Put 17, 4, 56/3, -5, -9, -1/3 in increasing order. -9, -5, -1/3, 4, 17, 56/3 Sort 12, -17967, -2 in descending order. 12, -2, -17967 Put -10, -1, 2, 14520, -3 in ascending order. -10, -3, -1, 2, 14520 Put -1727, -4, 3, 0 in increasing order. -1727, -4, 0, 3 Sort -1329/8, -6, -3. -1329/8, -6, -3 Sort 1, 31, 4, -748, 3 in increasing order. -748, 1, 3, 4, 31 Sort -0.4, -2, -42.953. -42.953, -2, -0.4 Put 0.3, -3/4, 1/2, -5, 5/4, -5.5 in increasing order. -5.5, -5, -3/4, 0.3, 1/2, 5/4 Put 5, 23, 1/5, -4, 0, -10/71 in descending order. 23, 5, 1/5, 0, -10/71, -4 Sort 5, 4, 815 in ascending order. 4, 5, 815 Put -3, 2, 1, -1, -496, -19 in descending order. 2, 1, -1, -3, -19, -496 Put 3, 74, 5, -53, -4 in ascending order. -53, -4, 3, 5, 74 Sort 6, 1/2, -0.1, 1, 4/101 in increasing order. -0.1, 4/101, 1/2, 1, 6 Put -10.986, -0.5, -4 in decreasing order. -0.5, -4, -10.986 Put 72628, -5, -1/3 in increasing order. -5, -1/3, 72628 Put 2, -365, 102 in increasing order. -365, 2, 102 Put -3, -5, -2, -20, 2, 859 in increasing order. -20, -5, -3, -2, 2, 859 Sort 586, -4, 942 in descending order. 942, 586, -4 Put 5, 35003, -3 in decreasing order. 35003, 5, -3 Put 64, -1, 3, 5/22 in descending order. 64, 3, 5/22, -1 Sort 0.4, 2/7, 1/8, 108/13 in ascending order. 1/8, 2/7, 0.4, 108/13 Put -4, -110, 3, 5, -2, 7 in descending order. 7, 5, 3, -2, -4, -110 Put -0.1, -33, 3.5, 3 in increasing order. -33, -0.1, 3, 3.5 Sort -2, -8, -58, -56. -58, -56, -8, -2 Sort 1/2, 22, -6, -2, -10/63 in increasing order. -6, -2, -10/63, 1/2, 22 Put 33, 3, 174 in descending order. 174, 33, 3 Put -0.4, -1/18, 1/6, -11.6 in ascending order. -11.6, -0.4, -1/18, 1/6 Sort 104, 8, 9, 5 in increasing order. 5, 8, 9, 104 Sort -34, -3, 13, -28, 0 in increasing order. -34, -28, -3, 0, 13 Sort 3, -2, 777, 5 in ascending order. -2, 3, 5, 777 Put 10, -34, -93/2 in ascending order. -93/2, -34, 10 Put 15, -0.219, -9 in descending order. 15, -0.219, -9 Sort -5, -612/35, 0.3, 4 in decreasing order. 4, 0.3, -5, -612/35 Sort 37/57, -1, 0.2, -0.14 in descending order. 37/57, 0.2, -0.14, -1 Put -1/16, -5/4, 2/447, -0.5 in ascending order. -5/4, -0.5, -1/16, 2/447 Sort 4, -482, -20. -482, -20, 4 Put -17, 3, -24, 5 in descending order. 5, 3, -17, -24 Sort 3, 4883, 5. 3, 5, 4883 Sort 2, -5, 5, -750, 0 in descending order. 5, 2, 0, -5, -750 Put -4, -253, 286, 3 in descending order. 286, 3, -4, -253 Sort 1/6, 0.1, 179990. 0.1, 1/6, 179990 Sort -5, 0.3, 94/15, 5 in decreasing order. 94/15, 5, 0.3, -5 Sort 1, -2, 5, -4, -12512 in ascending order. -12512, -4, -2, 1, 5 Sort -1, -79, 13001, 0, -3. -79, -3, -1, 0, 13001 Sort 7989, -11, 5, -2. -11, -2, 5, 7989 Sort 0.222, -1, 1/6, 0.4, 1/4, -8/5 in decreasing order. 0.4, 1/4, 0.222, 1/6, -1, -8/5 Sort -2, 2, 4.7, 4/15 in descending order. 4.7, 2, 4/15, -2 Sort -4, -5, 29017 in decreasing order. 29017, -4, -5 Put 10635, 140, -4 in descending order. 10635, 140, -4 Put 0.2, 0.3, -5, -1/6, -4, -207 in decreasing order. 0.3, 0.2, -1/6, -4, -5, -207 Sort 4, 1, 3/7, -5262, -3/4. -5262, -3/4, 3/7, 1, 4 Sort -4, 4, -1, 6, 1431, 2 in ascending order. -4, -1, 2, 4, 6, 1431 Sort -22, 16.4, -3/13 in descending order. 16.4, -3/13, -22 Sort -1, 5877, 2/13 in increasing order. -1, 2/13, 5877 Put 5, -978, -3, 1, 479 in decreasing order. 479, 5, 1, -3, -978 Sort -2, 195940, -5, 1 in increasing order. -5, -2, 1, 195940 Put 240, -11, 3, -6, 5, 0 in ascending order. -11, -6, 0, 3, 5, 240 Put 0.4, -4/4851, 4, -7, 0 in decreasing order. 4, 0.4, 0, -4/4851, -7 Sort 0, 317, 4, -4, 7 in decreasing order. 317, 7, 4, 0, -4 Put 4, -167, -1, 24, 3 in decreasing order. 24, 4, 3, -1, -167 Put -0.012, 6, -4, 9/41, 1/4, -3 in decreasing order. 6, 1/4, 9/41, -0.012, -3, -4 Sort -2/21, -0.28, -85/184 in decreasing order. -2/21, -0.28, -85/184 Put -822, 1/2, 1/13, -2/23, -5 in ascending order. -822, -5, -2/23, 1/13, 1/2 Put -6/13, -0.04, -1/159, -4 in descending order. -1/159, -0.04, -6/13, -4 Sort 16, 4, -4, -265. -265, -4, 4, 16 Put 0, 86, -50, 4 in descending order. 86, 4, 0, -50 Sort 0.2, 0, -13887, -1 in descending order. 0.2, 0, -1, -13887 Put -3, -134, -6853 in ascending order. -6853, -134, -3 Sort -36, -2, -4, 4 in descending order. 4, -2, -4, -36 Sort 3, -19/40, 2, -0.1, 6/5, 2/9 in decreasing order. 3, 2, 6/5, 2/9, -0.1, -19/40 Sort 2/15, 20, 1.2, -0.27 in increasing order. -0.27, 2/15, 1.2, 20 Sort -7/4, 3/5, -705. -705, -7/4, 3/5 Put 1, 216, 48, 4 in ascending order. 1, 4, 48, 216 Sort -2, 4, -8, -33 in decreasing order. 4, -2, -8, -33 Sort 5, -8, 2018. -8, 5, 2018 Sort 166, 0, -254 in ascending order. -254, 0, 166 Put 5566, 1, -2 in ascending order. -2, 1, 5566 Sort -0.2, 0.3, -2448/11 in descending order. 0.3, -0.2, -2448/11 Sort -502, 3, -4, 1 in descending order. 3, 1, -4, -502 Sort -8, -1, 1, 0, 22, -54 in decreasing order. 22, 1, 0, -1, -8, -54 Put -1, -5, -75 in decreasing order. -1, -5, -75 Put -292, -1, 217 in decreasing order. 217, -1, -292 Sort 0.03, 142, -1.09, 0.3 in decreasing order. 142, 0.3, 0.03, -1.09 Put 2, 3, 1, -38, -773, -1 in decreasing order. 3, 2, 1, -1, -38, -773 Sort -0.06, 1793, 0.1, 5. -0.06, 0.1, 5, 1793 Sort 5, 0.3, -29.6, 0.5, -0.4, 14 in decreasing order. 14, 5, 0.5, 0.3, -0.4, -29.6 Sort 13, 127, 3, 1, -5, 0 in decreasing order. 127, 13, 3, 1, 0, -5 Sort -220/7, 4, 42, 3. -220/7, 3
{ "pile_set_name": "DM Mathematics" }
nd give p. -2 Express 1 + o + 2 - 3 + 36*o**2 as y*o**2 + a*o + w and give a. 1 Rearrange 7*p**4 - p**3 - 5*p**4 + 5 + 2*p - p**2 - 6 to the form h*p + o + n*p**3 + j*p**2 + a*p**4 and give a. 2 Express 22*o**2 - 15*o**2 - 18*o**2 as z*o**2 + h + b*o and give z. -11 Express (20*r - 5*r - 6*r + 3*r**2)*(5 - 5*r**2 - 5) as d + u*r**2 + y*r + c*r**4 + p*r**3 and give p. -45 Rearrange 20 - 20 - 29*k**2 to u + t*k**2 + v*k and give t. -29 Express 0*i**3 - 107*i**2 - 3*i - 2*i**3 + 112*i**2 as l*i + q*i**3 + a*i**2 + o and give q. -2 Express (26*y**2 - 28*y**2 + 97*y**2)*(1 - 1 - y**2)*(0 + 3 - 4) as h*y + n + w*y**2 + a*y**4 + q*y**3 and give a. 95 Express (-5*l + 4*l - 2*l)*(-l - 6 + 6 + 0 + l + 0 + (-6*l + 2*l + 3*l)*(0 + 4 - 2) - 8*l + 8*l + 8*l) in the form m*l + y*l**2 + q and give y. -18 Express ((4 - 1 - 1)*(-3*y + 6*y - 4*y) - 11*y + 8*y + 6*y)*(y**3 + 1 - 1) as r + f*y**3 + p*y**2 + s*y + g*y**4 and give g. 1 Rearrange 12 - 12 - 5*a + (-a + a - a)*((1 + 5 - 4)*(-2 - 2 + 3) - 3 + 3 - 2) to f + c*a and give c. -1 Rearrange -2*t**2 + 72*t**2 - 30*t**2 to a + s*t + r*t**2 and give r. 40 Rearrange (3*n + 2*n - 4*n)*(0 - 2 + 0) - 6*n + 3*n + 2*n + (4 + 1 + 7)*(-4*n - n + n) to i + j*n and give j. -51 Express 0*o - 3*o - 45*o - 17*o in the form g*o + r and give g. -65 Express 5 + 2 + 26*q - 24*q as s*q + r and give s. 2 Express -8*i**2 - 11*i + 10*i + 2 + i as h + k*i + g*i**2 and give h. 2 Express 0*l - 13*l + 7*l as t + m*l and give m. -6 Express (3*d**3 + 2*d**3 - 2*d - 13 - 3*d**3)*(2*d - d + 0*d) in the form i*d + r*d**3 + n*d**4 + x + h*d**2 and give n. 2 Rearrange 205*p - 215*p - 4 + 4 to the form c*p + a and give c. -10 Express -13*n**3 - n**3 + 2*n - 256 + 256 in the form y*n**3 + p*n + x + c*n**2 and give y. -14 Express (-2*v + 0*v + 4*v)*(v - 1 + 1) - 26188 + 26188 + 2*v + 195*v**2 as w*v**2 + t + k*v and give t. 0 Express 2*v + 2 - 2 + (4 - 4 - 2)*(-v - v + 0*v) + (-4 + 0 + 2)*(-v + 2*v + v) - 3 + 3 + 2*v + 2*v + 0*v + 2 - 3*v in the form h*v + o and give o. 2 Rearrange -6*u - 4*u + 3*u + 6*u to the form i*u + t and give i. -1 Express 14*i**3 + 0*i**2 - 6 - 2*i**2 - 13*i**3 in the form m + k*i**3 + w*i**2 + l*i and give w. -2 Rearrange (-2*i + 0*i + i + 0*i - 4*i + 2*i + i - 3*i + i + (-2 + 2 + 1)*(5 + 2*i - 5))*(-3*i - 4 + 4) to y*i**2 + h*i + s and give y. 6 Express -15*l**2 - 6 - 2*l + 16*l**2 + 2*l as w*l**2 + d*l + n and give n. -6 Rearrange -2*x**2 + 10*x**2 - 2*x**2 - 1 to h*x + b*x**2 + v and give b. 6 Express 2*c + 16 - 32 + 16 + 2*c**2 as p*c**2 + j + b*c and give j. 0 Rearrange 0 - l**4 + 2*l**4 - 3 + 1 - 3*l**2 to the form c + n*l + p*l**3 + x*l**4 + k*l**2 and give n. 0 Rearrange -t**2 - 2*t**2 - 2*t**3 + 7*t**2 + t**4 - 5*t - 3*t**2 to the form c*t**3 + p*t + h*t**2 + m*t**4 + a and give h. 1 Rearrange (3*s**2 + 2*s**2 - 4*s**2 - 2)*(2*s + 3*s - 2*s) to b*s**3 + f + h*s + o*s**2 and give o. 0 Express 39*r + 5*r**2 + 4*r**2 - 25*r**2 + 14*r**2 as l + z*r + b*r**2 and give z. 39 Express (-3 - 3 + 5)*(-1 + 1 - 4)*(-2*j - 3*j + 6*j) + (-6 + 2 + 1)*(2*j - 2*j + 2*j) - 4 + j + 4 + (-2 - j + 2)*(3 - 3 + 1) as i + a*j and give a. -2 Express -4*y**2 + 0*y**2 + 2*y**2 + (0*y + 2*y + 0*y)*(y + 2*y - 5*y) + 73*y - 37*y - 12*y**2 - 35*y in the form t*y + o*y**2 + s and give t. 1 Express (1 - 1 - 2*f)*(0 - 7 - 1) in the form x*f + u and give x. 16 Rearrange 8*u - 2*u**3 + 2 - 8*u + 4*u**2 + (-2 + 0 + 5)*(0*u**3 + 0*u**3 - 2*u**3) + u**3 + u**3 - 4*u**3 to t*u**3 + q*u + j*u**2 + v and give v. 2 Express 454 + 3*r**3 - 2*r**3 - 456 - 45*r**2 in the form s*r**3 + n*r + o + k*r**2 and give k. -45 Express (21 + 7 + 3*z - 2*z)*(-2 + 3 + 3)*(2*z - z - 3*z) in the form w + v*z + o*z**2 and give v. -224 Rearrange 0*k**2 - 6*k**2 + 0*k**2 + (-2*k - 2*k + 6*k)*(0*k + k - 6*k) + 0 + 0 + 4*k**2 to x + f*k**2 + t*k and give f. -12 Express (5*v**3 + 2*v**3 - 5*v**3)*(-v + v - 2*v) + (3*v + v - 5*v)*(0*v**3 + v**3 + v**3) as g + k*v**4 + a*v**3 + j*v**2 + q*v and give k. -6 Express 3*z**2 - 2*z**2 - 2*z**2 + (-2 - z + 2)*(8 - 24*z - 8) - z**2 - 5*z**2 + 5*z**2 in the form q + u*z + b*z**2 and give b. 22 Rearrange -j**3 - 6 + 2*j**3 + 2*j**3 - 5*j**3 to k + i*j**2 + g*j + l*j**3 and give l. -2 Express ((3 - 3 - 1)*(-c + c - 4*c) + 3*c + 4*c - 5*c)*(-24 - 8*c**2 + 24) in the form t*c**2 + a + i*c**3 + s*c and give i. -48 Express -4*x**2 - 3 + 1 + 0 + 0*x**2 as i + n*x**2 + t*x and give i. -2 Express 2*p**3 - p**3 + 2*p**3 + 1 + (-9*p - 7*p**2 + 9*p)*(2*p - 5*p + p) as r*p**2 + d + f*p + w*p**3 and give w. 17 Rearrange -9*m**2 - 18*m + 6*m + 12*m + m**4 + 2 to n + s*m**2 + v*m**4 + f*m**3 + h*m and give v. 1 Rearrange -40*z**2 - 46*z**2 + 82*z**2 + 3*z + (4 - 3 - 4)*(2 - 3*z**2 - 2) + 3*z - z**2 - 3*z to x + v*z + p*z**2 and give p. 4 Express 0*d - 3*d + 2*d + 0*d in the form a*d + p and give a. -1 Rearrange (-5*u + 11*u + 5*u)*(u + u - u - 2*u**2) + (5*u - u - 2*u)*(0 - 2*u**2 + 0) to the form d*u + p*u**3 + x + n*u**2 and give x. 0 Express -k**2 + 3 + 26*k + 0 - 20*k - 3*k**2 in the form j + z*k**2 + q*k and give j. 3 Rearrange -4*n + 380 - 380 to o*n + r and give o. -4 Express (-1 - 1 - 2)*(10*a**3 + 0*a**3 + 0*a**3) as i*a**2 + s*a + j*a**3 + p and give j. -40 Express (1 + 0 + 0)*(10 + 3 - 4)*(-7*q - 14 + 14 + (0*q + q + q)*(-2 - 2 + 2)) as r*q + z and give z. 0 Rearrange 16*z + 11*z + 14*z to q*z + k and give q. 41 Express -35 + 2*k**2 + 27 + 23 as j*k**2 + r*k + l and give j. 2 Rearrange (5 + 0 - 4)*(192*f**2 - 144*f**2 - 2 + 4) to j*f**2 + u + h*f and give u. 2 Rearrange -3*k**4 + 3*k**3 + 208*k + 1 - 214*k - k**3 - k**2 - 4*k**3 to c*k + d*k**4 + h*k**2 + b*k**3 + o and give h. -1 Express 82*d - 20*d - 10*d + 69*d in the form n + v*d and give v. 121 Express -z**4 - z**3 - z**4 - z**2 + 2*z**2 - z + 0*z**4 in the form o*z**2 + r*z**3 + j*z**4 + h*z + f and give h. -1 Rearrange 19 - 9*h - 19 to j*h + a and give j. -9 Rearrange 23*n**2 + 47*n**2 - 33*n**2 + 62*n**2 to f*n**2 + q*n + a and give f. 99 Express -21*c + 19*c - 18*c as m*c + v and give m. -20 Express -23*s - 20*s + 26*s in the form h + t*s and give t. -17 Express 3*v**2 + 2*v**3 - 1 - 2*v**2 - 2*v**2 + 4 as u + f*v + y*v**2 + z*v**3 and give u. 3 Rearrange -85*d + 29*d - 100*d to j*d + u and give j. -156 Rearrange -b**2 - b + 4*b + 2*b to the form s*b + o + x*b**2 and give x. -1 Express -7*a + 8*a - 12*a - 7*a as p*a + w and give p. -18 Express -14*k**2 - 10*k**2 + 11*k**2 + (-2 + 4 - 1)*(-4*k + 2*k**2 + 4*k) - 4*k**2 + k**2 + 5*k**2 in the form x + n*k + i*k**2 and give i. -9 Express -4*w**2 + 2 + w - 5*w**2 + 0*w - 2*w**3 + 10*w**2 in the form k*w**3 + s*w**2 + h + d*w and give d. 1 Rearrange 11*v + 0*v**2 - 2*v**3 - 6*v + v**2 + 0*v**2 to g*v**3 + w + o*v**2 + k*v and give g. -2 Express ((-2*a + 0*a + 4*a)*(-3 - 2*a**2 + 3) - 2*a**2 + 2*a**3 + 2*a**2 - a**3 - 2 + 2 + 37*a**3 + 3 - 3)*(-1 + 1 + 1) as q*a**3 + p + o*a + r*a**2 and give q. 34 Rearrange -13*a + a + 11 - 11 to the form t*a + p and give t. -12 Express (0 + 3 - 2)*(-18*c**2 - 24*c**2 + 34*c**2) in the form d*c + y + h*c**2 and give y. 0 Express 0*b**3 - 2*b**3 + b**3 + (-1 + b + 1)*(-b**2 + 0 + 0) + 27*b - 57*b**3 - 592*b + 58*b**3 in the form l*b**3 + d*b**2 + a + q*b and give l. -1 Express -2*r**3 + 2 + 6 + r**2 - 2 in the form d*r + v + s*r**2 + j*r**3 and give v. 6 Rearrange -153*f**2 - 6*f**4 + 153*f**2 + (f**4 + f - f)*(1 + 3 - 5) to d*f + z*f**3 + y*f**4 + h*f**2 + p and give y. -7 Express -5*z - 14*z + 4*z in the form w*z + o and give w. -15 Express (7*p - 8*p**3 - 7*p)*(-1 + 0 - 1) + (-p**3 + 5*p**3 - p**3)*(2 - 2 + 2) in the form h*p + r + q*p**2 + j*p**3 and give j. 22 Rearrange -4*m**3 - 1 + 25*m**2 + 5*m**3 + 0 to the form b*m**3 + r*m**2 + n*m + f and give b. 1 Express (622 - 20*o - 622)*(-2 + 0 + 1) + (-3*o + 0*o + o)*(3 - 3 - 2) + 3*o - 5*o + 0*o as r + s*o and give s. 22 Rearrange 0*a**2 + 2*a**2 + 2 - 4*a**2 to the form t*a + u + z*a**2 and give z. -2 Rearrange -4 + 18 - 6 + 12*q to the form j*q + r and give r. 8 Express -3*b - 2 + 2 + (-1 + 1 - 1)*(2 + 2*b - 2) + 1 - 2*b - 1 + (3 - 1 - 1)*(b + b - b) as n*b + w and give n. -6 Express -2*c + 4*c + 0*c + (11*c + 9*c - 5*c)*(0 - 1 + 0) as x + k*c and give k. -13 Rearrange 1 + 0*w**3 - 2*w**2 - 2*w**3 - w**2 + 1 to the form t*w + y*w**2 + h*w**3 + c and g
{ "pile_set_name": "DM Mathematics" }
-4*g(k) - 9*l(k). Differentiate i(y) wrt y. -193 Let l(r) = -2491*r**2 - 1096. Let n(d) = 3*d**2 - 5. Let x(w) = -l(w) - 4*n(w). Find the first derivative of x(g) wrt g. 4958*g Let y(j) = j**3 - 11*j**2 - 19*j + 16. Let i be y(12). Let s = -56 - i. Differentiate 16*u**2 + s - 27 + 7 wrt u. 32*u Let l(z) be the second derivative of -19*z**7/42 + z**6/2 - z**5/10 - 1849*z**3/3 + 2955*z. What is the second derivative of l(b) wrt b? -380*b**3 + 180*b**2 - 12*b Let n(q) = -q**2 - 31*q - 82. Let r be n(-28). What is the third derivative of -r*c - 79*c**2 + 91*c**4 + 6*c + 72*c**2 wrt c? 2184*c Let x = 32 - 30. Suppose 0*y - x*y = 0. Differentiate 2*g + 50 - 39 + y*g with respect to g. 2 Suppose -4*t + 15902 = o, 4*t = 4*o - 6*o + 15900. Find the first derivative of t*w - 3*w**2 - 6*w**2 + 239 - 3978*w wrt w. -18*w - 2 Let r(x) be the first derivative of -1945*x**4/2 + 4*x**3 - 9*x**2/2 - x + 8258. Find the third derivative of r(q) wrt q. -23340 Differentiate -718*u + 247*u - 1343 + 186 - 192 - 728*u wrt u. -1199 Let u(b) be the third derivative of -65*b**6/4 - 823*b**5/30 + 1152*b**2. What is the third derivative of u(k) wrt k? -11700 Let l = 43 - 47. Let c = l + 6. What is the first derivative of 26 + k - 1 + c - 4*k wrt k? -3 Let i be (-33 - 1)*(-3)/2. Suppose 4*q - i - 105 = 0. Find the third derivative of 12*y**2 - 7*y**2 - 4*y**2 - q*y**4 wrt y. -936*y Let q(k) be the first derivative of 6253*k**2/2 + 5825*k - 14412. What is the derivative of q(g) wrt g? 6253 Let r(z) be the second derivative of -698*z**3 - 2073*z**2/2 - 587*z. Find the first derivative of r(h) wrt h. -4188 Let c(y) be the first derivative of 1249*y**4/4 + 4970*y**3/3 - 1172. Find the third derivative of c(g) wrt g. 7494 What is the third derivative of -2724*z**6 - 2068*z**6 - 1348*z**2 - 926*z**6 - 1062*z**2 + 2943*z**6 wrt z? -333000*z**3 Let g(d) be the third derivative of 529*d**8/48 - d**5/12 - 4*d**3 + 57*d**2 - 30. What is the third derivative of g(l) wrt l? 222180*l**2 Let b be (90/35)/(1/21) - 0. Suppose 0 = 3*o - 12*o + b. What is the third derivative of 4*w**o - 2*w**6 + 111*w**2 - 82*w**2 wrt w? 240*w**3 Let j(u) = -30*u**4 + 7*u**3 - 7*u**2 - 2051*u + 7. Let x(l) = l**3 + 2*l**2 + 3*l + 1. Let k(y) = -j(y) + 7*x(y). What is the second derivative of k(s) wrt s? 360*s**2 + 42 Suppose -4*n + 24 = -0*n. Let p = 83 - 80. What is the third derivative of 6*u**3 - 26*u**4 - n*u**3 - p*u**2 + 35*u**4 wrt u? 216*u Let w(c) = -207*c**3 - 20*c + 3556. Let g(f) = 206*f**3 + 25*f - 3557. Let x(s) = 2*g(s) + 3*w(s). What is the first derivative of x(t) wrt t? -627*t**2 - 10 Differentiate -158 - 6*b - 632 - b - 3*b + b wrt b. -9 Let z(o) be the first derivative of 3*o**5 + 10*o**4 + 354*o**3 - 1250. Find the third derivative of z(d) wrt d. 360*d + 240 Find the first derivative of 35759*m**2 + 1742*m**4 + 805 + 35758*m**2 - 71517*m**2 wrt m. 6968*m**3 Let y = -741 - -743. What is the second derivative of 86*s + y*s**2 - 12*s**3 + 7*s**3 + 124*s - 5*s**2 - 58*s wrt s? -30*s - 6 Find the second derivative of -148*m**2 + 9482*m**3 - 222*m**2 + 370*m**2 - 171*m - 415*m wrt m. 56892*m Let x(u) = 65420*u**2 - 255*u + 113010. Let h(t) = -4673*t**2 + 18*t - 8072. Let p(g) = -85*h(g) - 6*x(g). Differentiate p(i) with respect to i. 9370*i Let i be 13 - (-1 + 7/(7/2)). Let z be 9/(-6)*((-172)/i + -3). What is the second derivative of 20*c - z*c - 11*c**2 + 0*c**2 wrt c? -22 Let k(u) be the first derivative of -6*u - 49 - 27/2*u**2. Find the first derivative of k(v) wrt v. -27 Let z(b) = -92*b + 46*b + 27 - 32 + 57*b. Let s(d) = -10*d + 6. Let u = -4 + 0. Let g(h) = u*s(h) - 5*z(h). What is the derivative of g(a) wrt a? -15 Let x(j) be the first derivative of 6 - 155*j + 0*j**2 + 172/3*j**3. Differentiate x(l) with respect to l. 344*l Let t(m) be the first derivative of -m**5/6 + 19*m**4/12 - 58*m**3/3 - 10. Let g(f) be the third derivative of t(f). What is the derivative of g(s) wrt s? -20 Let z = -209 + 212. Find the third derivative of 3*d**2 + 12*d - 7*d**6 + 132*d**3 - 65*d**3 - 3*d**5 - 67*d**z wrt d. -840*d**3 - 180*d**2 Let w(c) be the second derivative of 7*c**5/20 + 13*c**3/2 - 135*c**2 + 245*c. Let m(n) be the first derivative of w(n). Differentiate m(i) with respect to i. 42*i Suppose 0 = 2*y + 30 - 74. What is the second derivative of -2*k + 68*k**2 - 2 - 4 - 14 - y + k wrt k? 136 What is the third derivative of 4307 + 45*f**6 + 4*f**5 + 4299 - 8606 + 33*f**6 + 1283*f**2 wrt f? 9360*f**3 + 240*f**2 Let i(g) be the third derivative of -145*g**8/112 + g**6/24 + 73*g**4/24 + 37*g**3/6 + 61*g**2 + 37*g. What is the second derivative of i(z) wrt z? -8700*z**3 + 30*z Let y(d) be the first derivative of 1/6*d**4 - 15/2*d**2 + 0*d - 11/6*d**3 + 8. Let c(w) be the second derivative of y(w). Differentiate c(u) with respect to u. 4 Let g(r) be the second derivative of 565*r**7/3 + 5*r**4/12 + r**3/2 - 68*r**2 - 28*r - 6. Find the third derivative of g(t) wrt t. 474600*t**2 Suppose -7 + 26 = -2*d + g, -4*d + 5*g = 41. Let l = d - -35. What is the third derivative of -6*m**2 + 16*m**2 - 3*m**2 + l*m**6 + 4*m**2 wrt m? 3120*m**3 Let b(r) be the first derivative of -803*r**2 + 1816*r - 1731. Differentiate b(a) wrt a. -1606 Suppose -6*q + 2*q = -28. Suppose -x = 3*m - q - 2, -m - 4*x = 8. What is the second derivative of -6*b**m - b + 2*b**4 - 2*b**4 - 8*b**4 wrt b? -168*b**2 Let a(n) be the first derivative of -34*n**4/3 + 237*n**2/2 - 153*n + 270. Let l(d) be the first derivative of a(d). Differentiate l(i) with respect to i. -272*i Let k(s) = 463*s - 244*s - 24*s**2 - 230*s. Let t(m) = -24*m**2 - 11*m + 1. Let f(c) = -4*k(c) + 3*t(c). Find the second derivative of f(y) wrt y. 48 Let g(x) be the third derivative of -2735*x**5/12 - x**4/4 + 49*x**3/3 - 7*x**2 - 489. What is the second derivative of g(k) wrt k? -27350 Find the second derivative of -1879*i**2 + 12 - 32*i**3 + 1879*i**2 - 958*i**4 + i + 32*i**3 wrt i. -11496*i**2 What is the derivative of -2*s + 35043*s**3 + 1960 - 36154*s**3 + 2*s wrt s? -3333*s**2 Let x = -33 - -116. Suppose -14*r = -323 - x. Find the second derivative of 17*s**2 + 48*s - 57*s - r*s**2 - 32*s**2 wrt s. -88 Let z be 102/4*((-400)/30)/(-20). Suppose 0 = w + 4 - 12. Find the second derivative of -12*p + w*p**2 - 6*p + z*p wrt p. 16 Let a be 32/4*(2 - (-21)/(-12)). Suppose 331 = 2*h - 3*y - 238, -609 = -2*h - 5*y. What is the third derivative of -h*p**a + 7*p**4 + 168*p**2 + 147*p**2 wrt p? 168*p Differentiate 634*w**3 + 149 + 47 + 228 + 336*w**3 with respect to w. 2910*w**2 Let s(u) be the second derivative of 2 + 0*u**5 + 7/6*u**6 + 1/12*u**4 + 0*u**2 - 2/3*u**3 + 3*u. What is the third derivative of s(h) wrt h? 840*h Let t(s) = 23*s + 26. Let j be t(-1). What is the first derivative of 821 - 976 - 12*f - j*f**2 - 17*f wrt f? -6*f - 29 What is the second derivative of -31139*x**2 + 15576*x**2 - 5*x**3 - x**4 + 7*x**3 - 9461*x + 15578*x**2 wrt x? -12*x**2 + 12*x + 30 What is the third derivative of 324*j + 2*j**2 + 3 - 1 - 4006*j**4 + j**5 - 8 + 4*j - 106*j wrt j? 60*j**2 - 96144*j Find the third derivative of -89*p**2 + 17689*p**5 + 942*p**2 - 15039*p**5 wrt p. 159000*p**2 Let b(a) = 456*a**3 - 31*a - 4833. Let s(h) = 308*h**3 - 21*h - 3222. Let u(y) = -5*b(y) + 7*s(y). Differentiate u(l) wrt l. -372*l**2 + 8 Suppose 3 = x, d - 3*x = 4*d - 15. Let k be (3120/143)/12 + (-2)/(-11). Differentiate 17 + k*a**2 - d*a**2 - 12 + 14*a**4 with respect to a. 56*a**3 Suppose -l = -2*f - 4, -4*l + 24 = -4*f + 4. What is the third derivative of 98*n**2 + 1 - 28*n**2 - 8*n**l + 17*n**6 - 5*n**4 + 60*n**2 wrt n? 1080*n**3 - 120*n Let o(a) = 9*a - 169. Let n be o(19). Differentiate 4943*y**n - 2365*y**2 + 7 + 2*y**3 - 2413*y**2 wrt y. 6*y**2 + 330*y Let v(r) be the third derivative of -109*r**4/4 + 347*r**3/2 - 519*r**2. What is the derivative of v(j) wrt j? -654 Let j = -752 - -757. What is the third derivative of 3*u**6 - 83*u**5 + 10*u - 235*u**2 - 5*u - j*u - 5*u**6 wrt u? -240*u**3 - 4980*u**2 Let x(t) = 2*t**2 + 11*t + 31. Let m be x(-6). Find the second derivative of 4*w**5 + 150*w + w**3 - m*w**3 + 14*w**3 wrt w. 80*w**3 - 132*w Suppose -12*j = 12*j - 72. Find the second derivative of -25*u + 31*u**3 - 7*u + 14*u**j + 3*u wrt u. 270*u Let h be (4*3/24)/(2/8). Find the
{ "pile_set_name": "DM Mathematics" }
? 41 Let o = 2676 - 1433. List the prime factors of o. 11, 113 Suppose 0 = 2*p + 3*g + 20, p + 18 = -g + 8. Let x = 24 - p. List the prime factors of x. 2, 17 Suppose -6*o + 7*o - 17 = 0. Suppose o*j - 20*j + 222 = 0. What are the prime factors of j? 2, 37 Let t = 10 + -5. Suppose 0 = -0*g - t*g + 320. What are the prime factors of g? 2 Let y(a) = a - 1. Let s(v) = -11*v + 4. Let n(l) = s(l) + 2*y(l). Suppose h = 4*c + 5 + 4, -2*c + 5*h - 9 = 0. What are the prime factors of n(c)? 2, 5 Suppose 6481 = 4*n + 1781. List the prime factors of n. 5, 47 Suppose 2*i + 0*i = -5*w + 1550, w + i = 310. What are the prime factors of w? 2, 5, 31 Suppose 353 = 2*p - 1343. What are the prime factors of p? 2, 53 Let p(c) be the third derivative of 0 - 1/24*c**4 - c**3 - 2*c**2 + 0*c. List the prime factors of p(-9). 3 Let m(w) = w**2 - 9*w - 5. Let y be m(10). Suppose 5*u - 4*g = u + 368, y*g = 5. List the prime factors of u. 3, 31 Let d = 1 - 7. Let h be (-2)/((-2 - -4)/d). Suppose -h = q - 43. What are the prime factors of q? 37 Suppose -2*h - 4*z + 24 = 6, 3*h - 3*z + 18 = 0. List the prime factors of 288 + h/(5/(-25)). 293 Let w = -1128 + 1849. List the prime factors of w. 7, 103 Suppose y + 4*y = -20. Let a be (y/8)/((-2)/(-16)). List the prime factors of (-186)/(-14) + a/14. 13 Let c = 1790 - 481. List the prime factors of c. 7, 11, 17 Let a(u) be the third derivative of 3*u**4/4 - 9*u**3/2 + 26*u**2. List the prime factors of a(11). 3, 19 Let o = 44 - -61. Let w be o + -2 + (-1)/1. Suppose 4*h - 3*d + d = w, -5*d = 5. List the prime factors of h. 5 Let p be 1 - -2 - (12 + -9). Suppose p = -0*z - 5*z + 55. List the prime factors of z. 11 Suppose -4*z - 14711 = -4*d - 867, d + 3*z = 3453. List the prime factors of d. 3, 1153 Let z be ((-6)/(-4))/(6/(-36)). Let f(g) = g**2 + 4*g + 1. List the prime factors of f(z). 2, 23 Suppose 3*a - 6 = -2*b + 1, 2*b - 2*a = 32. Suppose 2*u + 23 + b = 0. Let m = u + 30. List the prime factors of m. 13 Let u(f) = f**3 + 9*f**2 + 8. Let k be u(-9). Suppose 11*o = k*o - 45. List the prime factors of ((-18)/o)/((-8)/(-20)). 3 Suppose 5*w - 4782 = d, 3*w = 5*d - 216 + 3094. List the prime factors of w. 2, 239 Let b(w) = 2*w - 10. Let o be b(7). Let t be (-2)/(-8) - 17/o. What are the prime factors of 3 + t + 0 - -38? 37 Suppose -22 = -3*t + s, 0*t + 4*s - 16 = -t. Suppose -556 = -2*h + 2*o, 2*h - 3*o + t*o - 528 = 0. List the prime factors of h. 2, 137 Suppose 0*f - 188 = 4*f. Let a(u) = 6*u - 16. Let b be a(-9). Let q = f - b. List the prime factors of q. 23 Let i = 3420 + -2783. What are the prime factors of i? 7, 13 Suppose -5*g + w = -266, g - 22 = -3*w + 44. Suppose 5*m + g = 2*i, 5*i + 3*m - 46 - 27 = 0. What are the prime factors of i? 17 Suppose 2*o = 2*y + 11594, 22*y = 2*o + 18*y - 11602. List the prime factors of o. 3, 1931 Suppose -6 = 2*a - 12. Suppose -4*p - z = -417, -p - 5*z = a*p - 421. What are the prime factors of p? 2, 13 Let v be -3 - (-2 - -3)*-9. Let h be (-20)/v*120/(-50). Suppose 0 = 2*q - h - 0. List the prime factors of q. 2 Let r(n) = n**3 - 9*n**2 + n - 11. Let f be r(9). Let o = f + 6. List the prime factors of o/(-18) + (-141)/(-27). 5 Let c(z) = -14*z - z**3 - 15*z**2 + 2 - 5*z + z. List the prime factors of c(-14). 2, 29 Let a(v) = -v**3 + 11*v**2 + 12*v - 9. Let q be a(11). Suppose 0 = 4*c - 20, -2*c = -2*l + c - q. Let r = l - -108. List the prime factors of r. 2, 3 Let q = 5 - 0. Suppose -4*j + 0*j + 12 = q*o, -4*j = -o + 12. List the prime factors of o. 2 Let b(n) = n**3 - 15*n**2 + 96*n - 50. List the prime factors of b(19). 2, 1609 Let r = -7 - 0. Suppose -2*q - 2*m = -200, -12 = 6*m - 3*m. What are the prime factors of q/6 - r/(-21)? 17 Suppose -4*l - 2 - 10 = -2*q, 0 = -5*l + 3*q - 16. List the prime factors of (-2 + l)*(-285)/20. 3, 19 Suppose -5*k - 297 = -r + 40, 0 = -3*r + 2*k + 1076. What are the prime factors of r? 2, 181 Suppose 3*k + 11*r = 10*r + 10322, 4*k = -2*r + 13762. What are the prime factors of k? 3, 31, 37 Let u be (-32)/(2 + -3) - -4. Let m = u - -34. Let c = -15 + m. What are the prime factors of c? 5, 11 Suppose 0 = 4*j - 3*j + 8. Let x(m) = -15*m + 19. List the prime factors of x(j). 139 Let o = -145 + -29. Let w = 296 + o. List the prime factors of w. 2, 61 Let g(o) = -8*o + 495*o**2 - o - 501*o**2 - o**3 + 6. List the prime factors of g(-7). 2, 59 Let h be (0 - -2)/(-1*(-6 + 4)). List the prime factors of (-2 + 92 + 3)*h - 0. 3, 31 Let g(s) = 57*s - 16. Let f be ((-18)/(-27))/((-1)/6)*-1. List the prime factors of g(f). 2, 53 Suppose -2*l + 2*d = -l - 445, 2*l - 899 = d. List the prime factors of l. 11, 41 Let q = 366 + -306. List the prime factors of q. 2, 3, 5 Let f = -580 + 834. Suppose 884 - f = 5*z. What are the prime factors of z? 2, 3, 7 Let w be 1 + -1 - (17 + -20). Suppose -j - 4*j + 999 = w*k, 996 = 5*j + 2*k. List the prime factors of j. 2, 3, 11 Let m(u) = 3*u**3 - 4*u**3 - 5*u**2 + 15*u - 4*u**2 + 37 - 10. What are the prime factors of m(-11)? 2, 13 Suppose 2*o = -5*y + 16778 - 4893, o = 3*y - 7131. What are the prime factors of y? 2377 List the prime factors of 511 + -4 - -5 - 2. 2, 3, 5, 17 Let b(j) = j**3 + 14*j**2 + 14*j + 29. Let r be b(-12). Let p = 3 + 3. What are the prime factors of (-1)/(-6) + r/p? 5 Suppose -6*n - d = -n - 29, -3*d + 2 = -2*n. Suppose 2*t = 3*t - 3*w + 7, -5*t + n*w + 5 = 0. Suppose -9*x = -t*x - 164. What are the prime factors of x? 41 Let f = -14 - -16. Suppose f + 0 = s. List the prime factors of 816/40*5/s. 3, 17 Let d = 162 - -6. Let b = d - 63. List the prime factors of b. 3, 5, 7 Let t(u) = -78*u**3 + 3*u + 3. Suppose m - 2*j = 2*j - 13, 3*j = -3*m + 6. List the prime factors of t(m). 2, 3, 13 Let v(x) = 4682*x**2 + 11*x - 9. What are the prime factors of v(1)? 2, 1171 Let y(j) = -8*j + 7. Suppose -5 + 3 = -r. Let t be r/(4 + -2) + -5. What are the prime factors of y(t)? 3, 13 Let z = 67 - 30. Let b be z/4 + 7/(-28). Suppose -r = -b - 13. List the prime factors of r. 2, 11 Let t(n) = -n**3 - 4*n**2 - 2*n - 3. Let d be t(-5). Suppose 0 = 4*k - 2*k + d. Let y = k + 55. What are the prime factors of y? 3, 13 Suppose -2 = c, -g + 73 = -c - 45. Let b = g - 30. What are the prime factors of b? 2, 43 Let v = -127 - -246. List the prime factors of v. 7, 17 Suppose -7*i - 11935 = -0*i. What are the prime factors of (i/(-22))/(1/2)? 5, 31 Let d(q) = q**3 + 3*q**2 - 4*q + 2. Let f be d(-4). Suppose 2*j = -2*a + 214, 92 = -j + f*j - 4*a. Suppose 3*v + j = 5*v. What are the prime factors of v? 2, 13 Suppose 0 = -3*w - 218 + 545. Let h be 0 - (1 - (w + -2)). Suppose 3*f + 0*f - h = 5*m, f - 2*m = 37. List the prime factors of f. 3 Let l(s) = -1 - 3*s - 39*s + 4*s. Let k = 62 + -63. List the prime factors of l(k). 37 Let h = 4 + -12. Let p be h/(-12) + (-133)/(-3). Suppose 3 = -3*g + p. List the prime factors of g. 2, 7 Suppose -2*m = -4*x + 26, 5*m - 3*x + 18 = 4*m. Let u be -12*((-3)/(-2))/(-3). What are the prime factors of -76*1*m/u? 2, 19 Suppose -139*x = -157*x + 31140. List the prime factors of x. 2, 5, 173 Suppose 0 = -0*u - u + 51. Let i = u - 33. What are the prime factors of i? 2, 3 Let o = -4772 - -8280. What are the prime factors of o? 2, 877 Let q(f) = -3*f - 21. Let n be q(-6). What are the prime factors of (n + (0 - -2))*-53? 53 Suppose 0 = 4*f - 934 + 54. Suppose 6*l + f = 1426. What are the prime factors of l? 3, 67 Let i(y) = y**3 + 8*y**2 + 10*y + 10. Let q be i(-7). Let p = -6 - q. Let t(w) = 2*w**2 - 4*w - 1. List the prime factors of t(p). 29 Suppose 2*h - 201 = 2*r - 839, -5*r + 3*h = -1593. List the prime factors of r. 2, 3, 53 Suppose -21*c + 5*h = -22*c + 345, 1424 = 4*c - 2*h. What are the prime factors of c? 5, 71 Suppose p = 5*p + t - 9710, p - 2422 = -3*t. What are the prime factors of p? 2, 607 Suppose -5*i + 19 = -1. Suppose i*k - 117 = -4*f + 3*f, k + 5*f = 53. Suppose 0*j - 5*u + k = j, -3*u = -6. List the prime factors of j. 2, 3 Suppose -53*r = -50*r - 33. Suppose 9*w - r*w = -384. List the prime factors of w. 2, 3 Let c be (147/4)/((-6)/(-32)). Suppose -5*w + 414 = -c. What are the prime factors of w? 2, 61 Let y = 3 - -2. Suppose y*k - k = 2*u + 214, 5*k - 287 = -4*u. List the prime factors of k. 5, 11 Suppose 0 = -4*k - 5*i - 2, 0*i = -5*k + 2*i - 19. What are the prime factors of ((-
{ "pile_set_name": "DM Mathematics" }
+ 2*n**2 + 6. Give p(v). -13 Let v(x) be the second derivative of -x**3/6 + 45*x**2/2 + 2*x + 2393. Calculate v(-20). 65 Let a(k) = -97*k**3 - 4*k**2 + 10*k + 5. Let w(p) = -83*p**3 - 5*p**2 + 10*p + 6. Let f(d) = -6*a(d) + 7*w(d). Determine f(10). 12 Let o(w) = w**2 - 11*w + 31. Suppose 0 = f - 5*i - 42, 1454*f + 3*i = 1455*f - 28. Calculate o(f). 3 Let z be ((-3)/3)/(5/75). Let d(h) = -6*h - 101. Calculate d(z). -11 Let a(i) = -i + 5. Let u be (-2)/5 + 46/(-10). Let y = u + 9. Suppose -m = -y*m + 9. Calculate a(m). 2 Let s(p) be the third derivative of 5*p**4/8 - 2*p**3/3 + 1248*p**2 + 1. Determine s(6). 86 Let b = -571 + 348. Let h = 230 + b. Let k(p) = p**3 - 6*p**2 - 7*p - 7. Determine k(h). -7 Let x be 17 + (-260)/60 + 1/3. Let g(k) = 12*k - 158. Determine g(x). -2 Let o(c) = c**2 - c - 6. Let n be o(0). Let w(z) = -10*z - 51. Determine w(n). 9 Let r(d) = 4*d**2 - 4*d - 15. Let k(g) = -g**2 - g + 4. Suppose 5*q = 5*v + 3*q + 1, -7 = -v + 4*q. Let u(b) = v*r(b) - 5*k(b). Give u(-10). 5 Let i(d) = -13*d**2 - 19*d - 12. Let k(b) = -3*b**2 - 5*b - 3. Let w(f) = -2*i(f) + 9*k(f). Suppose 0 = -4*s + 4*r + 8, -70 = 120*s - 115*s + 5*r. Give w(s). 3 Let m(b) = b**2 - 78*b + 726. Let u be m(67). Let o(r) = -r**3 - 9*r**2 + 24*r + 9. What is o(u)? -13 Let h(r) = -r**2 - 14*r - 15. Let w = -5164 - -5155. Calculate h(w). 30 Suppose -5*y + 5*p + 7 + 8 = 0, -2*y - 5*p = -20. Let o be (-4)/12 + (-7)/(-3). Let s(g) = -19*g**2 + 37*g**o + 5*g - 19*g**2. Determine s(y). 0 Let c(h) = h**3 + 22*h**2 - 47*h + 27. Let x = 22706 + -22730. What is c(x)? 3 Let k(p) = 3*p + 4*p - 8*p - 5 - 4*p. Let g(r) = -1. Let q(o) = -g(o) - k(o). Let f = -17 + 13. Calculate q(f). -14 Let u = -1260 + 1257. Let a = -7 - -9. Let m(t) = 3*t - t**2 - 4*t**2 + 3*t**a + 4*t**2 - 4. Determine m(u). 5 Let c(j) = -j**3 + 7*j**2 - 6*j + 9. Suppose -10*b = -816 + 216. Suppose -b = -4*w + 20. Suppose 9*r = 74 - w. What is c(r)? 9 Let o = -169 - -182. Suppose 2*g + l - 9 = 0, 0 = g - o*l + 8*l + 23. Let t(j) = -2*j**2 + 3*j + 2. Give t(g). 0 Suppose 0 = 4*c - 6 - 2. Let a(z) = -4*z + 119*z**2 + 2 - 2 - 51*z**2 - 63*z**c - z**3. Let u be -4*(-2 + 2 - 1). Calculate a(u). 0 Suppose -2*f = 5*b - 6, -f + 5*b = -24 + 21. Let q(j) be the second derivative of 3/2*j**2 - 1/6*j**3 + 2*j + 0. Determine q(f). 0 Let f(z) = z**3 + 6*z**2 + 5*z - 5. Suppose -213 - 56 = -5*d + s, 2*d = s + 110. Let x = d - 35. Let c be (2 - x/12) + 11/(-2). Calculate f(c). -5 Let k(g) = 9*g**3 + 2*g**2 + g - 2. Let n = -2495 - -2496. Calculate k(n). 10 Let s(n) = -n**2 - 13*n + 24. Let a(u) = u**2 - 56*u + 110. Let r be a(54). Give s(r). -6 Let y(r) be the first derivative of -r**3/3 + r**2/2 - 1. Let v(q) = 54*q + 7*q**2 + 3 - 163*q + 51*q + 50*q. Let u(i) = -v(i) - 6*y(i). Calculate u(2). -3 Let v(w) = 4*w**2 + w - 30. Let a(z) = -z**2 - 2*z + 13. Let g(l) = 2*a(l) + v(l). Determine g(-1). 1 Let h(a) = 39*a + 4. Let r(g) = 1090*g + 7632. Let k be r(-7). What is h(k)? 82 Suppose -3*w = -0*w + 3. Let n(o) = -8 - 845*o + 7 - 27*o**2 + 843*o. Calculate n(w). -26 Suppose 8*w - 392 = -20*w. Suppose -x + 15 = 5*a, 2*x - 16 + 0 = -3*a. Let u(y) = -12*y - w*y + 27*y - a. What is u(0)? -2 Let k be ((-12)/9 + 0)*-3. Let m(d) = -d + 2 + 6*d + d**3 - 10*d**2 + k*d**2. Let r(c) = 64*c - 1788. Let o be r(28). What is m(o)? -10 Suppose -6 = 5*q - 4*q. Let x(o) = 0 + 5*o**2 - 4*o**2 + 2*o**2 + 4*o**2 + 7*o + o**3 + 3. Determine x(q). -3 Let y(r) = 10*r + 1. Suppose 15 = -32*o + 47. Calculate y(o). 11 Let q(a) = 3*a + 7. Suppose -3*k = 2*f + 2*k - 6, -4*k = 4*f - 48. Determine q(f). 61 Let r(d) = -d**3 + 8*d**2 - 4*d - 12. Let s be r(7). Suppose s = 18*i - 9. Let x(h) be the first derivative of 5*h**2/2 + h + 1. Determine x(i). 6 Let c(x) = -x**3 + 49*x**2 + x - 55. Let p be (7/(-14))/(12/(-1176)). Determine c(p). -6 Let o(z) = -2*z - 6. Suppose -2*v - 3*x = -5*v, 0 = 2*v + 4*x + 6. Let n(q) = q. Let c(s) = v*o(s) - 3*n(s). Determine c(10). -4 Suppose -258*s + 253*s = -10. Let i(n) = 9 + 59*n - 1 - 56*n - 3*n**s - n**3 - 3. What is i(-4)? 9 Let n(r) = 37*r**2 + r - 3. Suppose 0 = -242*f + 196 + 288. Give n(f). 147 Let j(q) = -q - 5. Let o(t) = 4*t + 20. Let c(s) = -9*j(s) - 2*o(s). Let k be c(-6). Let z(g) = -2*g**2 + 11*g**3 - 3*g**2 - 1 + 3*g**2 - 2*g. Determine z(k). -12 Let g(n) = -13*n**2 - 10*n - 45. Let z(w) = -11*w**2 - 9*w - 42. Let b(j) = 6*g(j) - 7*z(j). Calculate b(7). -4 Suppose -33*m - 2054 = -767. Suppose -125 = 3*l + 37. Let w be l/(-13) - (-6)/m. Let t(o) = -o**2 + 4*o - 5. Determine t(w). -5 Suppose -6*p + p = 4*q - 16, 2*p + 8 = 2*q. Let y(n) = -53*n**2 + 111*n**2 + n - 57*n**2 + 1500 - 1502. Calculate y(p). -2 Suppose 7*s - 153 + 209 = 0. Let i(x) = x**2 - 8. What is i(s)? 56 Let c(k) be the first derivative of -7*k**3 - 2*k**2 - k + 228. Determine c(-2). -77 Let t(s) = 7*s**3 + 29*s**2 + 16*s + 151. Let r(c) = -c**3 - 4*c**2 - 2*c - 22. Let g(j) = -15*r(j) - 2*t(j). Determine g(0). 28 Let s be ((-45)/36)/(6/36) - -10. Let g(o) be the first derivative of 5*o + s*o**2 + 24. What is g(-5)? -20 Let r = 122 - 119. Let c(i) = 16*i - 1. Let s(a) = 41*a - 3. Let w(y) = -8*c(y) + 3*s(y). Give w(r). -16 Let f(j) = -j**3 + 14*j**2 - 58*j + 74. Let a be f(7). Let y(u) = u**2 - 12*u - 12. Give y(a). -23 Let m(h) = 200*h + 11*h**2 - 11 - 91*h - 101*h - h**3. Let y(q) = -q**3 + 12*q**2 + 8*q - 12. Let k(p) = -6*m(p) + 5*y(p). Let r = 1 + 6. What is k(r)? -1 Let b(s) be the third derivative of s**6/120 - s**5/20 - s**4/12 + s**3/3 + 1554*s**2. Suppose -3*v = -v - 6. Determine b(v). -4 Suppose 14*s + 370 - 328 = 0. Let p(o) = 4*o**2 + 8*o + 6. What is p(s)? 18 Suppose 66*s = 61*s + 2020. Let k(d) = 204 - 6*d + 197 - s - d**2. Give k(-4). 5 Let t(w) = -1 - 7 + 2 + w. Let m = -593 + 709. Let b = -122 + m. Determine t(b). -12 Let n(a) be the first derivative of -a**4/4 - 4*a**3/3 + 3*a**2/2 + 2*a + 1. Let y = 66148 + -66152. Determine n(y). -10 Let n(o) = -10*o + 3. Let c be n(-2). Let w(q) = -q**2 + c - 16 - 3*q - 5*q. Calculate w(-8). 7 Let w be 15/30 + 45/(-6). Let l(m) be the third derivative of 0*m - 11*m**2 + 1/4*m**4 + 0 - 1/10*m**5 - m**3 - 1/120*m**6. Calculate l(w). 1 Let i = 159 - 161. Let p(k) = k**3 - 2*k - 11*k**2 + k**3 + 13*k**2. Give p(i). -4 Let x(i) be the third derivative of 4*i**5/15 - 37*i**4/8 - 5*i**3/3 - 4765*i**2. Calculate x(7). -3 Let z(w) be the third derivative of w**6/20 + w**4/24 + w**3/6 - w**2 - 1227*w. Let u = 2 - 3. Let r be z(u). Let v(p) = 2*p + 5. What is v(r)? -7 Let y(s) = 3*s + 13. Let g be (-5)/(-31)*2/5 + 26082/(-6417). What is y(g)? 1 Let j(p) = -p - 3. Let x = 30 + -27. Suppose x*r = -12, 2*k + 12 - 2 = -3*r. Suppose 3*n + 3*d - 12 = 0, -n - 5 = -d - k. What is j(n)? -3 Let r(i) = 4*i - 10. Let g(k) = -k + 1. Let s(v) = 3*g(v) + r(v). Let a = 157 - 148. Give s(a). 2 Let r(q) = 4*q**2 + 2*q - 6. Let b be r(3). Let p(h) = 42*h**3 + 2*h**2 + 2*h. Let l be p(-1). Let g = b + l. Let x(u) = u. Give x(g). -6 Let r(i) = -26*i**2 - 277*i - 97. Let l(k) = 5*k**2 + 54*k + 20. Let v(h) = 11*l(h) + 2*r(h). Determine v(-11). -51 Let w(g) = -41*g - 17*g**2 + 149*g**3 - 150*g**3 - 16 + 81*g - 23*g. Determine w(-18). 2 Let y(u) = u + 15. Let j(d) = -11*d - 124. Let x(s) = -2*j(s) - 17*y(s). Determine x(2). 3 Let x(l) be the first derivative of l**5/20 - 5*l**4/12 - l**3 + l**2/2 + 31*l + 248. Let b(c) be the first derivative of x(c). Give b(6). 1 Let j(y) = y**3 - 5*y**2 + y - 2. Let v(o) = -4*o**2. Let t be v(1). Let n be (-2)/(t - (-28)/6). Let m = 7 + n. Give j(m). -14 Let u(q) = -293 + 595 - 3*q**2 - 305 - q + 11*q. Determine u(2). 5 Let p(z) = -6*z + 1. Suppose 3*f - 6 = -36. Let l = -851 + 846. Let o be (f/l + -8)/2. Give p(o). 19 Let n(j) = j**3 + 3*j + 35. Suppose 39*l - 27*l = 1 - 1. Determine n(l). 35 Let s = -71 + 82. Suppose -2*u = -g - s, -g = 2*g - 3. Let q(c) = -c**3 + 5*c**2 + 4*c. Give q(u). -12 Let x = 60 + -74. Let l(t) = 2*t**2 - 3. Let p(n) = -11*n**2 + 16*n + 35. Let a(c) = 6*l(c) + p(c). Determine a(x). -11 Let j(o) = 2*o**3 - 17*o**2 + 7*o + 100. Let z be j(7). Let n(l) be the second derivative of -9/2*l**z + 0 - 9*l - 1/6*l**3. Determine n(0). -9 Let x(t) = -t**3 - 2*t**2 + 2*t + 2. Let q = -42 - -42. Let p = q + 3. Suppose 8*m = p*m - 15. Calculate x(m). 5 Let h(p) = p**2 - 195
{ "pile_set_name": "DM Mathematics" }
g*q - 110 = -2*m - 43. Let x = q + 0. What is the remainder when 25 is divided by x? 12 Suppose -5*d + 49 = 2*y, -3*y - 3*d = d - 63. Let b(j) = -j**2 - 7*j + 1. What is the remainder when 8 - 6 - (0 - y) is divided by b(-6)? 5 Suppose 160 = 3*w - 2*k - 12, 4*k = -5*w + 294. Let m = -41 + w. Suppose -3*j + 28 = z, 3*j - 2*j = -z + 10. Calculate the remainder when m is divided by j. 8 Let r(z) = 2*z - 2. Let l be r(2). Suppose 0 = k - l*k + 7. Suppose x - k - 5 = 0. What is the remainder when 23 is divided by x? 11 Let f = 353 + -347. What is the remainder when 17/((0 + -1)*-1) is divided by f? 5 Let u(q) = -4*q + 7. Let y be u(-9). Suppose 4*f + 2*p = 54, 3*f + 4*p - y = -0. What is the remainder when f is divided by 4? 1 Let b(u) be the second derivative of -u**4/12 + 7*u**3/6 + u**2 + 2*u. Calculate the remainder when 15 is divided by b(6). 7 Suppose -5 - 5 = -2*y. Calculate the remainder when 22 is divided by y. 2 Let z(a) = -a**3 + 10*a**2 + 2*a - 9. Suppose 3*o - 4*r - 10 = 0, 5*o - 70 = -4*r - 0*r. Calculate the remainder when 40 is divided by z(o). 7 Let k = 82 - 25. What is the remainder when k is divided by 29? 28 Let u(z) = 4*z**2 + 3*z + 1. Let d(j) = j**2 + 1. Let g be d(0). Let k be g*-3 - (-3 + 2). What is the remainder when 20 is divided by u(k)? 9 Calculate the remainder when 35 is divided by (-4)/6 - 58/(-6). 8 Suppose 0 = 4*h + g + 19 - 80, -3*g + 55 = 4*h. What is the remainder when 63 is divided by h? 15 Suppose 4 = -4*v, 27 = 3*d - 3*v - 18. Calculate the remainder when 25 is divided by d. 11 Let a(c) = -c**2 - 2*c + 29. Calculate the remainder when 85 is divided by a(0). 27 Suppose -5*x - 5*b + 5 = 0, 0 = 3*b + 3 - 0. Suppose -3 - 11 = -x*k. Let p = k + 9. Calculate the remainder when 46 is divided by p. 14 Let p be 3*(-1)/1 + 5. Suppose -84 = -p*y - y. Calculate the remainder when y is divided by 10. 8 Suppose -2 = -f + d, -4*f + d = -12 - 2. Let u(k) = k - 2. Suppose -7*p + 20 = -3*p. What is the remainder when p is divided by u(f)? 1 Let k = 18 - 4. Suppose 4*d = -4*i + 120, -75 = -0*d - 3*d + 2*i. What is the remainder when d is divided by k? 13 Let z be 80/14 + (-4)/(-14). Suppose -z*h + 230 = -h. Calculate the remainder when h is divided by 12. 10 Let v = 40 + 26. Suppose -h - 2*h + v = 0. Calculate the remainder when h is divided by ((-9)/1)/(6/(-8)). 10 Suppose s - 9 = -5. Calculate the remainder when 15 is divided by s. 3 Calculate the remainder when 20 is divided by (-43 - 1)*15/(-60). 9 Suppose -q + 110 = -4*o - 0*q, 0 = 4*q + 8. Let x = o - -75. Calculate the remainder when x is divided by 16. 15 What is the remainder when (-12)/(-10)*(-20)/(-8) - -49 is divided by 20? 12 Suppose -2*x + 8 = 3*a - x, -a = x. Suppose 5 = p - 5*q - 6, 5*p - q - 31 = 0. Suppose a*n + p = 146. What is the remainder when n is divided by 12? 11 Let q be 2/2*(3 - -3). Let k(v) = v**2 - 7*v + 7. Calculate the remainder when 1 is divided by k(q). 0 Let c = 32 - 25. Calculate the remainder when 8 is divided by c. 1 Let g(h) = -h**2 - 6*h - 6. Let v be g(-4). What is the remainder when 1/(v/(2*10)) is divided by 3? 1 Suppose -9 = 3*y + 4*c, 6 = -2*y + c + 4*c. Let d = y + 17. Let m = 109 - 54. Calculate the remainder when m is divided by d. 13 Let k = -120 + 232. Suppose 0 = -0*d - 4*d + k. Let x = -4 + 19. What is the remainder when d is divided by x? 13 Suppose 26 + 10 = 3*z. Suppose -q = -0*q - 4. Let b(k) = 7*k + 7. What is the remainder when b(q) is divided by z? 11 Let x = -20 + 50. What is the remainder when x is divided by 11? 8 Suppose -4*c - 5*l + 36 = 3, 0 = l - 1. Calculate the remainder when 46 is divided by c. 4 Let s(h) = -1 + 1 - h. Let o be s(-3). Suppose 5 = q + j - o*j, -4*q = 5*j - 46. Calculate the remainder when q is divided by 5. 4 What is the remainder when (-1 - 1) + 50 + 2 is divided by 17? 16 Let m(u) = u**2 + 2*u + 11. Let q = 11 + -2. What is the remainder when m(-6) is divided by q? 8 Let v(x) be the first derivative of -7*x**2/2 - x + 2. Calculate the remainder when 17 is divided by v(-1). 5 Suppose -h - 5*d = 16, -h - 2*d = -d - 4. Suppose 10 = l - h. Suppose 2*s - 22 = -2. What is the remainder when l is divided by s? 9 Let q(a) = -9*a. Let n(i) = i**3 - 10*i**2 + 13*i - 12. Let f be n(9). What is the remainder when f + ((-3)/1)/(-3) is divided by q(-1)? 7 Let x = 9 - -6. Let w = 19 + x. Calculate the remainder when w is divided by 12. 10 Suppose 3*m - 108 = -m. Let j be (6/2 + -5)*-1. Suppose 4*c + m = p, 0*p + 50 = j*p - 4*c. Calculate the remainder when 67 is divided by p. 21 Let k(a) = -2*a + 67. What is the remainder when k(0) is divided by 14? 11 Suppose -2*o = 2*d - 42, -o - 7*d + 12 = -9*d. What is the remainder when o is divided by 5? 3 What is the remainder when 82/8*-10*(-18)/15 is divided by 42? 39 Suppose o + 21 = -5. Calculate the remainder when 1885/o*(-12)/10 is divided by 18. 15 Let q(g) = g + 2*g**3 + 4*g**3 + 22 - 5*g**3. Let x be q(0). Let j = x - 11. Calculate the remainder when 19 is divided by j. 8 Let c = 21 + -5. Suppose t + h - c = 0, -t + 0*t + 1 = -2*h. What is the remainder when 1 + -30*(-1 - 0) is divided by t? 9 Let w(g) = 21*g - 45. Calculate the remainder when w(5) is divided by 16. 12 Let f = 1 + 9. Calculate the remainder when 19 is divided by f. 9 Let g = -93 - -133. Let u(l) = -4*l + 1. What is the remainder when g is divided by u(-5)? 19 Let g = -10 - -12. Suppose -g - 7 = -u. Calculate the remainder when 25 is divided by u. 7 Let p = -12 + 21. Calculate the remainder when 25 is divided by p. 7 Suppose 0*g = g - 15. What is the remainder when 73 is divided by g? 13 Suppose -3*i + 25 + 19 = 5*v, -v - i = -8. Calculate the remainder when v is divided by 2 + (-1)/(1/(-4)). 4 Let z = 4 + -1. Suppose z*o = 18 - 6. What is the remainder when 4/10 + 66/10 is divided by o? 3 Let c = 3 + -3. Suppose -4*j = -c*j + 8. What is the remainder when 2 is divided by (-2)/(-4)*-1*j? 0 Suppose -5*m = 5, -m + 2*m = k + 1. What is the remainder when 21 is divided by 2/k*-9 + 3? 9 Let r(v) = -10*v + 8. Let i be r(-6). Suppose 96 + i = 4*f. Calculate the remainder when f is divided by 11. 8 Suppose -5*n = -a + 25, 40 = -2*n + 3*a + 17. Let z be 1/6 + (-283)/6. Let y = n - z. Calculate the remainder when y is divided by 11. 10 Let x(p) = p**3 - p**2 + 3. Let u be x(0). Suppose a = -u + 4. What is the remainder when 2 is divided by a? 0 Let i(y) = y**3 - 4*y**2 + 22. What is the remainder when i(5) is divided by 10? 7 Suppose l - w + 7 - 60 = 0, -2*l + w = -109. What is the remainder when l is divided by 29? 27 Let b = 30 - 10. Let i = 303 - 108. Suppose 6*n - i = n. What is the remainder when n is divided by b? 19 Let w(s) = -s + 13. Let m be w(9). Suppose r + 5*d - m = 0, 4*r - 116 = 4*d + d. Calculate the remainder when 46 is divided by r. 22 What is the remainder when (-1365)/(-49) + (-1)/(-7) is divided by 7? 0 Let g(d) = d**3 - 11*d**2 - 12*d + 12. Calculate the remainder when 23 is divided by g(12). 11 Suppose -k + 78 = 2*k. Let d = 4 + 73. What is the remainder when d is divided by k? 25 Let z be (-10 - -5)*(-3)/(-5). Calculate the remainder when ((-33)/z + 3)/1 is divided by 8. 6 Let g = -2 + 47. Calculate the remainder when g is divided by 28. 17 Let n = 7 + -4. Suppose 2*a + 10 = -n*a. Calculate the remainder when 14 is divided by 5 + 0 + (a - -2). 4 Let m = -12 + 23. Let y(u) = u**3 + 19*u**2 + 4. What is the remainder when m is divided by y(-19)? 3 Let z = 28 - 0. Let r = 10 - 2. What is the remainder when z is divided by r? 4 Suppose 3*p - 8 = -2. Let i = p + 9. Calculate the remainder when 21 is divided by i. 10 Let w be (4 - 5)/((-1)/151). Let a = w + -92. What is the remainder when a is divided by 30? 29 Suppose -5*x - 3*q - 5 = -3, 4*q = x - 18. Calculate the remainder when 3 is divided by x. 1 Suppose -b + 10 + 1 = 0. Calculate the remainder when 41 is divided by b. 8 Let w(o) = o + 2. Let k be w(-3). Suppose -3*l - 4 = -19. What is the remainder when 14 + -7 - (k - 0) is divided by l? 3 Let s(y) = -y**3 + 5*y**2 - 3*y - 5. Let r be s(4). Let d be -5*(2*r + 1). Suppose 0 = d*m - 59 - 31. Calculate the remainder when 52 is divided by m. 16 What is the remainder when 26 is divided by (-24)/(-16)*(-32)/(-6)? 2 Let n(p) = 2*p**2 + 2*p - 6. What is the remainder when n(4) is
{ "pile_set_name": "DM Mathematics" }
s the w'th term of 72, 175, 314, 489, 700, 947, 1230? 18*w**2 + 49*w + 5 What is the w'th term of -657, -681, -707, -735, -765, -797? -w**2 - 21*w - 635 What is the l'th term of 47, 292, 747, 1448, 2431, 3732, 5387, 7432? 6*l**3 + 69*l**2 - 4*l - 24 What is the w'th term of -67, -283, -645, -1153, -1807, -2607, -3553? -73*w**2 + 3*w + 3 What is the z'th term of 2190, 4362, 6522, 8670, 10806, 12930? -6*z**2 + 2190*z + 6 What is the a'th term of 1347396, 2694792, 4042188, 5389584, 6736980, 8084376? 1347396*a What is the a'th term of 8055, 8060, 8063, 8064, 8063, 8060, 8055? -a**2 + 8*a + 8048 What is the x'th term of -2205, -8818, -19843, -35280, -55129, -79390, -108063? -2206*x**2 + 5*x - 4 What is the y'th term of -710, -1508, -2304, -3098? y**2 - 801*y + 90 What is the k'th term of 324, 350, 376, 402, 428? 26*k + 298 What is the u'th term of -289, -274, -253, -226, -193, -154, -109? 3*u**2 + 6*u - 298 What is the p'th term of 832286, 832291, 832296, 832301, 832306? 5*p + 832281 What is the y'th term of -139, -122, 121, 704, 1741, 3346? 19*y**3 - y**2 - 113*y - 44 What is the m'th term of 445, 393, 321, 229, 117, -15, -167? -10*m**2 - 22*m + 477 What is the b'th term of 88, 592, 1938, 4552, 8860? 71*b**3 - 5*b**2 + 22*b What is the h'th term of 75, 104, 93, 36, -73? -h**3 - 14*h**2 + 78*h + 12 What is the r'th term of 2243, 2169, 2095, 2021? -74*r + 2317 What is the c'th term of 763, 952, 1141, 1330, 1519, 1708? 189*c + 574 What is the r'th term of -2273, -2228, -2183, -2138? 45*r - 2318 What is the h'th term of -727, -1535, -2343? -808*h + 81 What is the j'th term of -1596, -1508, -1418, -1326, -1232, -1136? j**2 + 85*j - 1682 What is the m'th term of -33423, -66780, -100147, -133530, -166935, -200368, -233835? -m**3 + m**2 - 33353*m - 70 What is the a'th term of 915, 3588, 8011, 14178, 22083? -a**3 + 881*a**2 + 37*a - 2 What is the q'th term of -1902, -3804, -5704, -7602, -9498, -11392, -13284? q**2 - 1905*q + 2 What is the u'th term of -137, -137, -141, -149, -161? -2*u**2 + 6*u - 141 What is the g'th term of 20056, 19829, 19452, 18925, 18248? -75*g**2 - 2*g + 20133 What is the k'th term of -410, -403, -396? 7*k - 417 What is the z'th term of 5165, 10345, 15533, 20735, 25957, 31205, 36485, 41803? z**3 - 2*z**2 + 5179*z - 13 What is the s'th term of 16932, 16949, 16966? 17*s + 16915 What is the n'th term of 403, 815, 1227, 1639? 412*n - 9 What is the k'th term of -14135, -14130, -14113, -14078, -14019, -13930? k**3 - 2*k - 14134 What is the w'th term of -337, -1539, -3543, -6349? -401*w**2 + w + 63 What is the c'th term of 1212, 2456, 3740, 5070, 6452, 7892? c**3 + 14*c**2 + 1195*c + 2 What is the z'th term of -317330, -634656, -951982, -1269308, -1586634, -1903960? -317326*z - 4 What is the o'th term of 92, 533, 1282, 2351, 3752, 5497, 7598, 10067? 2*o**3 + 142*o**2 + o - 53 What is the a'th term of -256181, -512363, -768543, -1024721, -1280897, -1537071, -1793243? a**2 - 256185*a + 3 What is the z'th term of -241, -1033, -2369, -4249? -272*z**2 + 24*z + 7 What is the h'th term of -33, -260, -867, -2046, -3989, -6888, -10935? -32*h**3 + 2*h**2 - 9*h + 6 What is the t'th term of -5603, -11189, -16749, -22271, -27743, -33153, -38489, -43739? 2*t**3 + t**2 - 5603*t - 3 What is the i'th term of -48, -383, -1308, -3117, -6104? -49*i**3 - i**2 + 11*i - 9 What is the b'th term of -26311, -26327, -26343, -26359, -26375? -16*b - 26295 What is the o'th term of -28857, -28856, -28859, -28866? -2*o**2 + 7*o - 28862 What is the c'th term of 170, 359, 570, 803, 1058? 11*c**2 + 156*c + 3 What is the v'th term of -5461, -10907, -16355, -21805, -27257, -32711? -v**2 - 5443*v - 17 What is the i'th term of -258, -233, -206, -177? i**2 + 22*i - 281 What is the h'th term of 88677, 177352, 266029, 354708, 443389, 532072, 620757? h**2 + 88672*h + 4 What is the g'th term of -54618, -218478, -491578, -873918, -1365498? -54620*g**2 + 2 What is the h'th term of -2020, -16171, -54584, -129391, -252724? -2022*h**3 + h**2 + 1 What is the c'th term of 280, 1933, 6418, 15151, 29548, 51025, 80998? 236*c**3 + c + 43 What is the q'th term of -4664, -4713, -4762, -4811, -4860, -4909? -49*q - 4615 What is the s'th term of -15, -119, -285, -513, -803? -31*s**2 - 11*s + 27 What is the k'th term of 28573, 57153, 85733? 28580*k - 7 What is the r'th term of -2234, -8878, -19952, -35456, -55390, -79754? -2215*r**2 + r - 20 What is the c'th term of -119, -180, -241? -61*c - 58 What is the w'th term of -8257, -8235, -8213? 22*w - 8279 What is the t'th term of 193, 346, 605, 970, 1441? 53*t**2 - 6*t + 146 What is the t'th term of -780, -722, -676, -648, -644, -670, -732, -836? -t**3 + 65*t - 844 What is the n'th term of -6564, -6556, -6544, -6528, -6508, -6484? 2*n**2 + 2*n - 6568 What is the i'th term of 1288, 2556, 3798, 5002, 6156, 7248, 8266, 9198? -2*i**3 - i**2 + 1285*i + 6 What is the t'th term of 128640, 128643, 128646, 128649, 128652? 3*t + 128637 What is the o'th term of 128460, 128458, 128456, 128454, 128452, 128450? -2*o + 128462 What is the r'th term of -12141, -24260, -36379, -48498? -12119*r - 22 What is the z'th term of 8077, 16262, 24445, 32626, 40805? -z**2 + 8188*z - 110 What is the d'th term of 5599, 22473, 50595, 89965, 140583, 202449, 275563? 5624*d**2 + 2*d - 27 What is the r'th term of -706, -783, -894, -1027, -1170, -1311, -1438? 2*r**3 - 29*r**2 - 4*r - 675 What is the m'th term of 192, 428, 664, 900? 236*m - 44 What is the g'th term of 21167, 21231, 21295? 64*g + 21103 What is the t'th term of -66, 310, 686, 1062, 1438, 1814? 376*t - 442 What is the f'th term of 49896, 99759, 149622, 199485? 49863*f + 33 What is the i'th term of -331, -1358, -2385, -3412? -1027*i + 696 What is the p'th term of -753, -775, -771, -729, -637, -483, -255? 2*p**3 + p**2 - 39*p - 717 What is the s'th term of -1592695, -1592697, -1592699, -1592701, -1592703, -1592705? -2*s - 1592693 What is the r'th term of 69294, 138588, 207882, 277176, 346470? 69294*r What is the m'th term of -10679, -42720, -96121, -170882, -267003? -10680*m**2 - m + 2 What is the l'th term of 6563, 13169, 19775? 6606*l - 43 What is the b'th term of 1709196, 1709195, 1709194, 1709193, 1709192, 1709191? -b + 1709197 What is the z'th term of -4571, -4654, -4751, -4868, -5011? -z**3 - z**2 - 73*z - 4496 What is the x'th term of 155387, 621591, 1398599, 2486411, 3885027, 5594447? 155402*x**2 - 2*x - 13 What is the t'th term of -24432, -24427, -24422, -24417, -24412? 5*t - 24437 What is the d'th term of 36, 893, 1736, 2559, 3356, 4121? -d**3 - d**2 + 867*d - 829 What is the f'th term of -198224, -396445, -594666, -792887, -991108? -198221*f - 3 What is the z'th term of -68247, -136524, -204815, -273126, -341463, -409832, -478239, -546690? -z**3 - z**2 - 68267*z + 22 What is the b'th term of 80359, 160718, 241077, 321436? 80359*b What is the k'th term of 41, 366, 1291, 3128, 6189, 10786? 52*k**3 - 12*k**2 - 3*k + 4 What is the m'th term of -1855, -3826, -5797, -7768, -9739, -11710? -1971*m + 116 What is the f'th term of -538, -1105, -1672, -2239, -2806, -3373? -567*f + 29 What is the q'th term of 832312, 832315, 832318, 832321, 832324? 3*q + 832309 What is the l'th term of -150, -368, -598, -840, -1094, -1360, -1638? -6*l**2 - 200*l + 56 What is the p'th term of 31747, 31749, 31751, 31753? 2*p + 31745 What is the g'th term of 20671, 41460, 62249, 83038? 20789*g - 118 What is the a'th term of -1170, -2153, -3142, -4143, -5162, -6205, -7278, -8387? -a**3 + 3*a**2 - 985*a - 187 What is the f'th term of 7558, 7575, 7594, 7615, 7638? f**2 + 14*f + 7543 What is the j'th term of -1194, -1204, -1222, -1254, -1306, -1384? -j**3 + 2*j**2 - 9*j - 1186 What is the m'th term of 288, 202, 116, 30, -56, -142? -86*m + 374 What is the z'th term of 41401, 41399, 41397? -2*z + 41403 What is the o'th term of 1027, 1035, 1041, 1045, 1047, 1047, 1045? -o**2 + 11*o + 1017 What is the r'th term of -356, -3108, -10636, -25328, -49572, -85756? -398*r**3 + 34*r + 8 What is the j'th term of 39702, 39704, 39706? 2*j + 39700 What is the t'th term of -418578, -418573, -418566, -418557, -418546, -418533? t**2 + 2*t - 418581 What is the d'th term of 153, 93, -5, -141? -19*d**2 - 3*d + 175 What is the w'th term of 651, 2574, 5773, 10248, 15999? 63
{ "pile_set_name": "DM Mathematics" }
rder. 0, -1, x Let s(y) = y**3 - 13*y**2 - 17*y + 37. Let q be s(14). Sort -0.4, q, -4, 0 in descending order. 0, -0.4, -4, q Let u(c) = -c**2 + 9*c - 15. Let j be u(4). Sort 0.1, j, 0.3, 0 in ascending order. 0, 0.1, 0.3, j Suppose -4*m - 3 = -m. Put m, -4, 1 in descending order. 1, m, -4 Let d = 1.4 - 0.4. Let x = -0.03 + -0.27. Put d, x, 3 in decreasing order. 3, d, x Suppose -4*u - 4*n + 8 = 0, u - 3 = -3*u + n. Sort -7, 0, u. -7, 0, u Let f = 6 + -3. Let x = -5 + f. Suppose -s = -0*s + 1. Put s, x, -3 in ascending order. -3, x, s Let t = -0.1 + 0.2. Let d = 1571/57 + -21743/836. Let y = -5/44 - d. Put 3/2, t, y in increasing order. y, t, 3/2 Suppose -4*i - 17 - 3 = 0. Sort 3, i, -7 in descending order. 3, i, -7 Let w be (48/(-18))/(4/(-6)). Sort 0.1, -10, 1/5, w. -10, 0.1, 1/5, w Suppose 4*m = 6*m. Suppose m = 2*n + 3*o - 15, n = -2*n + 3*o. Suppose 0 = -0*d - n*d + h - 9, -2*d = -2*h + 10. Sort 0.5, d, 0 in decreasing order. 0.5, 0, d Let r = -300 + 299. Suppose 4*t + 2*o - 14 = 0, -3*t - 5*o + 7 = -14. Sort r, -5, t in descending order. t, r, -5 Suppose 2*v + 0*g + g + 6 = 0, -3*g - 10 = 4*v. Let t be 35/(-10) + (-2)/(-4). Put 0, v, t in descending order. 0, t, v Let i(g) = -g + 19. Let y(d) = 1. Let k(n) = -i(n) + 4*y(n). Let w be k(11). Put w, -1, 3 in increasing order. w, -1, 3 Let r(q) = 2*q**2 - 9*q + 7. Let x be r(3). Sort -4, -3, x, 4 in descending order. 4, x, -3, -4 Let i = 19 - 13. Suppose -i = 2*v - 5*v. Suppose -9 = -2*o + 3*h, -o + v = o + 4*h. Sort o, -5, 5. -5, o, 5 Let a = 14 - 15. Let c = -2 - a. Let d be (0 + 3/6)/2. Sort -3, d, c. -3, c, d Suppose 0 = 5*k + 15 + 10. Let y = -8 - k. Sort -5, -1, y. -5, y, -1 Suppose 2*u + 5 = -f, -6*f - 19 = 4*u - f. Let k(w) = w**3 - 2*w**2 - w. Let l be k(u). Let r(i) = -i + 1. Let j be r(2). Put j, l, 2 in ascending order. l, j, 2 Let a = -0.3 + 0.1. Let d = -6 - -6.7. Let x = d - -0.3. Put -1, x, a in increasing order. -1, a, x Let k(s) = -5*s. Let w be k(-7). Suppose -4*f + 5*i - w = -0*f, -24 = 3*f - 3*i. Sort -1, f, -4 in ascending order. f, -4, -1 Suppose -2 = -8*y + 6*y. Let a = -4 - -2. Sort -3, a, y in ascending order. -3, a, y Let g = 81 - 80. Put -24, g, 5 in descending order. 5, g, -24 Suppose -3*d = -o - 0*d - 2, -3*o - 2 = -5*d. Put -4, o, 4 in increasing order. -4, o, 4 Let g = 7 - 6. Let x = 0 + -0.1. Sort x, -3, g. -3, x, g Let s = -1.3 + 0.1. Let b = -1 - s. Let p = -0.5 + b. Sort p, 1/2, 3 in descending order. 3, 1/2, p Suppose p + 4*c - 18 = 0, -4*c + 12 = 3*p + p. Let n be ((-18)/6)/(p/(-2)). Let k = 1016/5 - 204. Sort k, 2/9, n in descending order. 2/9, k, n Let s = 7.22 - 0.22. Sort s, 3, 0.5, 0.2 in increasing order. 0.2, 0.5, 3, s Suppose 10*b - 25 = 25. Put -25, b, 4 in ascending order. -25, 4, b Suppose 5*m + 4 + 2 = -4*c, 4*m = -c + 4. Put c, -4/7, 0, -2 in decreasing order. 0, -4/7, -2, c Suppose 0 = -3*d - 5*n - 2, -4*d + 4*n = -9*d - 12. Let b = -4 - -1. Sort -5, b, d in decreasing order. b, d, -5 Let o = -3 - 1. Let s(h) = h**3 - 3*h**2 + h - 1. Let m be s(2). Let x = m + 1. Sort o, 4, x in descending order. 4, x, o Let x(u) = 3*u + 14. Let j be x(-4). Sort j, -4, 9 in descending order. 9, j, -4 Let t(q) = q**3 + q**2 + 26. Let c be t(0). Put c, 1, 4 in ascending order. 1, 4, c Suppose 13 = 5*a + 2*m, 3*a - 1 = -m + 6. Sort a, 4, 0 in descending order. 4, a, 0 Let b = -23 - -22.9. Put 2/13, 6/5, 3, b in ascending order. b, 2/13, 6/5, 3 Let r be (3/(-9))/(1/(-3)). Let c = -1387/11 + 126. Put r, c, -1/8 in decreasing order. r, c, -1/8 Let u(b) = 2*b**3 + 2*b + 1. Let d be u(-1). Sort d, 3, 1 in descending order. 3, 1, d Suppose 0 = 4*z + 11 + 5. Let q be (-9 - -7) + 0 + -1. Sort z, 2, q. z, q, 2 Let w = -1 + 0. Let h = -3 - -5. Suppose 4*u + 6 = h*u. Sort u, w, 1 in increasing order. u, w, 1 Let g = -37/140 + 1/70. Let y = -0.23 - -16.23. Let z = 16.4 - y. Put g, z, 0.3 in descending order. z, 0.3, g Suppose -2*r - 3*f - 34 = -f, 77 = -4*r + 5*f. Let n be (3/r)/(2/(-12)). Sort n, 5, -2 in descending order. 5, n, -2 Let k = -21.4 + 24.42. Let n = 0.02 - k. Let g = -4 - -3. Sort g, n, -3/4. n, g, -3/4 Suppose 5*r - 23 + 8 = 0. Sort r, 1, -1 in descending order. r, 1, -1 Let v = -2.1 + 2.4. Put v, 2, 2/3 in descending order. 2, 2/3, v Let v = 21 + -19. Let p be ((-2)/5)/2*v. Let q = 18 + -89/5. Put 0, q, p in descending order. q, 0, p Suppose n = -4*t + 80, n + 5*t - 61 = 17. Let r be n/24 + (-2)/(-6). Sort -1, r, 0. -1, 0, r Let a = 15 - 17. Put -3, a, -1/3 in descending order. -1/3, a, -3 Suppose 5*v - 123 = -48. Suppose -w = -4*w + v. Suppose 17*c - 16*c = -3. Sort w, 3, c in decreasing order. w, 3, c Suppose 2*x - 3*x = 4*y + 15, x = 5*y + 21. Let o be 1*2 - y/(-3). Let g(a) = a**2 + 4*a + 3. Let d be g(-2). Sort -4, d, o in decreasing order. o, d, -4 Let n be 3 + (18/(-22) - 2). Sort n, 3/4, 0.5 in decreasing order. 3/4, 0.5, n Let q = -13 - -16. Sort q, -1/4, 0.3 in decreasing order. q, 0.3, -1/4 Suppose -5*r = -5*u - 0*u - 15, 5*u + 23 = r. Suppose -17 = 5*p - 2. Sort r, p, 0. p, r, 0 Let u(z) = -28*z**2. Let j be u(1). Suppose f - 5*q - 10 = 0, 3*q - 23 = -5*f - 1. Let o be (-8)/j + f/7. Put 5, -1, o in ascending order. -1, o, 5 Let o = -1057/9 + 117. Put o, -8, -0.5 in decreasing order. o, -0.5, -8 Let n = -3 + 2.6. Let q = n + 0.3. Let r = 18/5 + -296/85. Sort 0, q, r in increasing order. q, 0, r Let r = -12 + 16. Put 0, 16, -2, r in decreasing order. 16, r, 0, -2 Let m(n) = -n**2 - 2*n + 3. Let d be m(-4). Let o(w) = w**3 + 5*w**2 - 2*w - 5. Let r be o(d). Sort 2, 1, r in decreasing order. r, 2, 1 Let a be 68/(-60) - (-1)/(-5). Sort a, 0, 0.2 in decreasing order. 0.2, 0, a Suppose 0 = 2*y + y - 3. Let i be y/((-3 - -1)/(-6)). Let b be ((-6)/9)/((-2)/12). Sort i, b, -2 in ascending order. -2, i, b Suppose 2*c + 18 = -3*b - c, c + 10 = -2*b. Let w be 1/b*2*0. Let j(k) = -k - 4. Let d be j(-6). Put -2, d, w in descending order. d, w, -2 Let u be (18/135)/((-4)/(-3)). Sort -1/4, 1/2, u in descending order. 1/2, u, -1/4 Let r(g) = -g**2 + 13776. Let a be r(0). Let k be (-4)/18 - a/(-270). Let y = k + -51. Sort 4, y, 0.2. y, 0.2, 4 Let z = 16 + -17. Sort z, 4, 25 in descending order. 25, 4, z Let b(v) = v**2 - 6*v - 19. Let w be b(8). Sort 0, -1, w. w, -1, 0 Let a = 1 - 3. Let d = 101 + -104. Put d, a, 0 in ascending order. d, a, 0 Let q be (8/10)/(-1) - 0. Suppose -4*y + l + 270 = -l, -4*y + 3*l + 269 = 0. Let u = y + -338/5. Sort q, u, -0.2 in descending order. u, -0.2, q Let w = -35 + 317/9. Sort 0.4, 4/3, 1, w in descending order. 4/3, 1, 0.4, w Suppose -4*s - 13 = 5*z - s, z = 3*s - 17. Put 5, 1, 2, z in decreasing order. 5, 2, 1, z Suppose -g - 12 = -5*g. Suppose -5*x = -2 + 7. Let o(c) = -c**3 - 9*c**2 + 7*c - 32. Let q be o(-10). Put g, x, q in decreasing order. g, x, q Let y be -3 + 5/(-25)*0. Sort y, 2/17, -2 in decreasing order. 2/17, -2, y Suppose 0 = -4*s + s - 6, -3*s = y - 1. Sort 3, y, 2. 2, 3, y Suppose -4*z + 3*b - 4 = 6, 0 = -5*b - 10. Let k be 1/1*z/70. Sort 2/19, -2/5, k in ascending order. -2/5, k, 2/19 Suppose -3*v - 6 = -0*v. Let g be 3*(-1)/6*2. Sort v, -4, g in decreasing order. g, v, -4 Let m(l) = 2*l + 2*l - 3*l + 2. Let f be m(-5). Let y be (5 + -1)*(-15)/(-12). Sort f, 1, y. f, 1, y Let o = 472/5 + -94. Let l be (-10)/9*(2 + (-212)/100). Sort l, 5, o in increasing order. l, o, 5 Let d be (3/2)/((-12)/16). Sort d, 4, -3 in decreasing order. 4, d, -3 Suppose -o = 4*o - 5. Sort 0, o, -5 in ascending order. -5, 0, o Let l = 0.1 - -0.3. Sort -1/2, -1/7, l in descending order. l, -1/7, -1/2 Let r = -59 + 60. Put -1, r, -2, 3 in descending order. 3, r, -1, -2 Suppose -t = 0, -4*t = -4*u + 4 + 4. Suppose -u*v + 5 + 5 = 0. Sort -1, 6, v in descending order. 6, v, -1 Suppose 2*z + z = 27. Put -1, -3, z in decreasing order. z, -1, -3 Let r = -22 + -4. Let b = r - -43. Let z = -12 + b. Sort -1/5, 1/2, z in ascending order. -1/5, 1/2, z Let f be (-5)/(-3)*6/2. Let t(w) = -w**3 + 5*w**2 - w + 3. Let j be t(f). Sort j, -1, -4 in increasing order. -4, j, -1 Let v = -0.04 - 4.96. Let f = 10 + v. Sort f, 0, -0.5 in ascending order. -0.5, 0, f Let h(q) = -q**2 - 6*q - 6. Let w be h(-5). Let j = 9 - 5. Let s = -7 + j. Sort 2, s, w. s, w, 2 Let g be (59/(-4))/((-372)/(-16)). Let l = 1/31 - g. Put 0.5, -0.4, l in descending order. l, 0.5,
{ "pile_set_name": "DM Mathematics" }
2 r, and 1 i when four letters picked without replacement from niiiriirirrn. 8/55 Three letters picked without replacement from {k: 2, s: 4, y: 7}. What is prob of picking 1 y and 2 s? 21/143 Two letters picked without replacement from {l: 11, d: 2}. What is prob of picking 1 d and 1 l? 11/39 Calculate prob of picking 2 s, 1 a, and 1 g when four letters picked without replacement from dssappssqsgppsq. 1/91 What is prob of picking 1 h and 1 e when two letters picked without replacement from ehekhkkekbbeekekkek? 14/171 Three letters picked without replacement from {g: 1, t: 7}. Give prob of picking 1 g and 2 t. 3/8 Two letters picked without replacement from {m: 5, b: 1, k: 1, x: 5}. Give prob of picking 1 b and 1 x. 5/66 What is prob of picking 1 m and 2 b when three letters picked without replacement from {b: 7, m: 2}? 1/2 Four letters picked without replacement from {f: 2, p: 2, h: 6, x: 4, b: 3}. Give prob of picking 3 h and 1 f. 2/119 Three letters picked without replacement from sipfoin. Give prob of picking 2 f and 1 n. 0 What is prob of picking 1 m, 1 d, 1 a, and 1 r when four letters picked without replacement from {x: 6, r: 2, a: 5, d: 2, p: 3, m: 1}? 5/969 Four letters picked without replacement from {b: 1, x: 6, o: 3, n: 5, i: 3}. Give prob of picking 1 i, 2 x, and 1 b. 1/68 Calculate prob of picking 1 k, 1 p, and 1 x when three letters picked without replacement from oklpxxj. 2/35 Four letters picked without replacement from eeiqwliqz. Give prob of picking 2 i, 1 z, and 1 l. 1/126 Two letters picked without replacement from wewedudywytyyww. Give prob of picking 1 w and 1 t. 1/21 Calculate prob of picking 1 p, 1 r, and 1 j when three letters picked without replacement from {z: 2, r: 2, j: 11, p: 4}. 88/969 What is prob of picking 4 d when four letters picked without replacement from {d: 10}? 1 Two letters picked without replacement from rriaradrccaarccadc. What is prob of picking 1 i and 1 a? 5/153 What is prob of picking 1 u and 2 c when three letters picked without replacement from {c: 5, u: 7}? 7/22 Three letters picked without replacement from {k: 3, x: 11}. What is prob of picking 2 x and 1 k? 165/364 Four letters picked without replacement from llxfltttftfcltk. What is prob of picking 1 f, 1 c, 1 l, and 1 k? 4/455 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fbzqzzbfzfqfzqz. 8/105 Two letters picked without replacement from {l: 7, n: 4}. Give prob of picking 2 n. 6/55 Calculate prob of picking 2 a when two letters picked without replacement from {h: 9, a: 11}. 11/38 What is prob of picking 4 y when four letters picked without replacement from {y: 4, l: 2}? 1/15 Two letters picked without replacement from iuhninuhukkuu. What is prob of picking 2 n? 1/78 Four letters picked without replacement from {n: 6, k: 2}. What is prob of picking 4 n? 3/14 Two letters picked without replacement from {o: 1, v: 17}. Give prob of picking 1 o and 1 v. 1/9 Two letters picked without replacement from {y: 4, w: 3}. Give prob of picking 1 y and 1 w. 4/7 Four letters picked without replacement from {h: 2, u: 3, d: 5, t: 2, m: 3}. Give prob of picking 3 d and 1 m. 2/91 Two letters picked without replacement from oorrdqnd. What is prob of picking 1 o and 1 n? 1/14 Calculate prob of picking 2 x when two letters picked without replacement from {h: 2, x: 9}. 36/55 Four letters picked without replacement from ddbddddd. What is prob of picking 4 b? 0 Calculate prob of picking 4 c when four letters picked without replacement from zczzzcczzczzcczc. 1/52 Two letters picked without replacement from pproopprppdj. Give prob of picking 2 o. 1/66 Two letters picked without replacement from {t: 7, n: 4}. What is prob of picking 2 n? 6/55 Four letters picked without replacement from zfxzzxfzzxzhxzzn. What is prob of picking 1 z, 2 x, and 1 n? 12/455 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {g: 1, m: 1, l: 2, p: 2, s: 3, a: 3}. 3/22 What is prob of picking 3 u and 1 l when four letters picked without replacement from kkwkikuiiwukkkwwulw? 1/3876 What is prob of picking 1 c, 1 g, and 2 f when four letters picked without replacement from {c: 3, v: 5, g: 3, m: 2, f: 2}? 3/455 What is prob of picking 1 q and 2 z when three letters picked without replacement from qqqqxxxxxxxzzq? 5/364 Three letters picked without replacement from {u: 1, y: 3}. Give prob of picking 2 y and 1 u. 3/4 Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yylyyyyyyyyyylyyyyyy. 18/95 Three letters picked without replacement from yhmhyhythvyyvmvtvmv. Give prob of picking 3 h. 4/969 Two letters picked without replacement from {m: 5, o: 2, j: 4, c: 2}. Give prob of picking 1 c and 1 j. 4/39 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {i: 1, v: 1, l: 6, k: 3, r: 3, g: 1}. 1/35 Calculate prob of picking 4 z when four letters picked without replacement from {v: 1, z: 19}. 4/5 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {e: 3, c: 8}. 24/55 What is prob of picking 3 f when three letters picked without replacement from fffffffff? 1 Two letters picked without replacement from {m: 5, b: 14}. What is prob of picking 2 b? 91/171 What is prob of picking 2 l when two letters picked without replacement from llqqqqqkebqbb? 1/78 Two letters picked without replacement from eeekk. What is prob of picking 2 k? 1/10 Four letters picked without replacement from {l: 5, h: 3, i: 1, a: 1, g: 2}. What is prob of picking 2 h and 2 a? 0 What is prob of picking 1 m, 1 t, and 1 q when three letters picked without replacement from ntqmc? 1/10 What is prob of picking 2 y when two letters picked without replacement from {y: 4, k: 1, n: 2, l: 1, e: 1}? 1/6 What is prob of picking 1 y and 1 x when two letters picked without replacement from {j: 2, x: 2, y: 3, m: 9, f: 1}? 3/68 Three letters picked without replacement from fggggf. What is prob of picking 1 f and 2 g? 3/5 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 17, p: 3}. 51/190 Calculate prob of picking 2 j when two letters picked without replacement from yjcooyjgooyoj. 1/26 Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, j: 9}. 1/22 Two letters picked without replacement from {l: 1, t: 1, e: 1, z: 1, y: 1}. What is prob of picking 1 y and 1 t? 1/10 What is prob of picking 1 c and 1 b when two letters picked without replacement from {h: 4, c: 1, l: 7, b: 1}? 1/78 Calculate prob of picking 2 k when two letters picked without replacement from nkakabbbnkbbnbbnknb. 2/57 Two letters picked without replacement from {p: 6, z: 2}. What is prob of picking 2 z? 1/28 Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {q: 3, v: 2, b: 10}. 6/91 What is prob of picking 2 c and 1 x when three letters picked without replacement from {y: 4, x: 6, t: 6, c: 3}? 6/323 Four letters picked without replacement from uztzzzvvzzup. What is prob of picking 1 t, 1 u, and 2 v? 2/495 What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 1, d: 1, v: 11}? 11/78 Two letters picked without replacement from {f: 4, z: 2}. Give prob of picking 2 z. 1/15 What is prob of picking 2 z when two letters picked without replacement from {c: 3, z: 5}? 5/14 What is prob of picking 1 w and 1 r when two letters picked without replacement from {l: 1, w: 3, r: 4, n: 5}? 2/13 Calculate prob of picking 2 f and 2 u when four letters picked without replacement from {e: 4, f: 7, u: 6}. 9/68 Three letters picked without replacement from {p: 3, a: 2}. What is prob of picking 2 a and 1 p? 3/10 Four letters picked without replacement from {n: 10}. What is prob of picking 4 n? 1 Two letters picked without replacement from axaxattaa. Give prob of picking 1 x and 1 t. 1/9 Three letters picked without replacement from {b: 1, p: 7, i: 6, e: 3}. What is prob of picking 1 e and 2 p? 63/680 Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {i: 11, j: 2, s: 2, g: 1}. 1/560 Calculate prob of picking 1 b and 1 t when two letters picked without re
{ "pile_set_name": "DM Mathematics" }
s -0.000084798 rounded to seven dps? -0.0000848 What is -101.2762 rounded to the nearest 10? -100 What is 112528540 rounded to the nearest 1000000? 113000000 What is -10.75728 rounded to the nearest integer? -11 Round 83809300 to the nearest 1000000. 84000000 What is -15122342 rounded to the nearest one hundred thousand? -15100000 What is -0.545723 rounded to 3 decimal places? -0.546 Round 0.01060628 to 4 decimal places. 0.0106 What is -6.784419 rounded to zero dps? -7 Round -0.0000028867 to 7 dps. -0.0000029 Round -587.227 to zero decimal places. -587 What is -11401840 rounded to the nearest 100000? -11400000 What is 43361.8 rounded to the nearest one thousand? 43000 Round 4930257.9 to the nearest 1000. 4930000 Round -9767.305 to the nearest one hundred. -9800 What is 0.00374211 rounded to five dps? 0.00374 Round 0.00006453483 to 6 decimal places. 0.000065 What is 2964.349 rounded to the nearest 10? 2960 What is -23027.41 rounded to the nearest one thousand? -23000 What is 81.10538 rounded to 1 dp? 81.1 Round -3.1058 to one decimal place. -3.1 What is -2076.91 rounded to the nearest ten? -2080 What is 238.21984 rounded to zero decimal places? 238 What is -1725.9192 rounded to the nearest one hundred? -1700 What is 4386267 rounded to the nearest ten thousand? 4390000 What is -0.00648794 rounded to three decimal places? -0.006 Round 338.558 to the nearest integer. 339 Round 492340.6 to the nearest 10000. 490000 What is -3889473.1 rounded to the nearest ten thousand? -3890000 What is -0.07050142 rounded to 2 dps? -0.07 What is 5570350 rounded to the nearest 100000? 5600000 What is -1158.5372 rounded to the nearest 10? -1160 What is 3259907 rounded to the nearest one hundred thousand? 3300000 What is 0.000051377751 rounded to 5 decimal places? 0.00005 Round -0.19008196 to four dps. -0.1901 What is -2442980 rounded to the nearest 10000? -2440000 What is -1.33695 rounded to one decimal place? -1.3 What is -0.000375108 rounded to four decimal places? -0.0004 What is -2161560 rounded to the nearest one hundred thousand? -2200000 What is 0.0021591 rounded to two decimal places? 0 Round 26.0605 to the nearest integer. 26 Round 76.8444 to the nearest ten. 80 What is -4.613701 rounded to the nearest integer? -5 Round 9.42663 to 0 decimal places. 9 What is 6.881 rounded to the nearest 10? 10 Round -70956720 to the nearest one hundred thousand. -71000000 What is 4.68437 rounded to the nearest integer? 5 What is 0.0003100279 rounded to six dps? 0.00031 What is 0.000897929 rounded to 5 dps? 0.0009 What is -2424148 rounded to the nearest 100000? -2400000 Round 0.06243348 to four dps. 0.0624 What is -511.8484 rounded to the nearest 10? -510 What is 242059000 rounded to the nearest one million? 242000000 What is -1029667 rounded to the nearest one hundred thousand? -1000000 What is -164670.94 rounded to the nearest 1000? -165000 What is 0.01848948 rounded to two dps? 0.02 What is 1864.89 rounded to the nearest 100? 1900 What is 0.006652422 rounded to six decimal places? 0.006652 What is -0.0304489 rounded to 4 dps? -0.0304 What is 137942000 rounded to the nearest one million? 138000000 Round 146050 to the nearest one thousand. 146000 Round 0.002138842 to 6 decimal places. 0.002139 What is 27.07 rounded to 1 decimal place? 27.1 What is 2.9662 rounded to the nearest ten? 0 Round 0.000107006 to 7 decimal places. 0.000107 Round 0.3517795 to 1 decimal place. 0.4 Round -1465983 to the nearest 1000. -1466000 What is 0.000737544 rounded to five dps? 0.00074 Round 5994500 to the nearest 1000000. 6000000 What is 1.806545 rounded to 2 dps? 1.81 Round 0.000004601812 to seven decimal places. 0.0000046 What is 8.19292 rounded to one dp? 8.2 Round 944490.2 to the nearest 1000. 944000 Round 0.0001472051 to four decimal places. 0.0001 Round -0.00000394054 to six decimal places. -0.000004 Round -0.01997871 to 5 dps. -0.01998 What is -0.027397 rounded to 4 dps? -0.0274 What is 0.53167 rounded to one dp? 0.5 Round 0.000024651207 to 6 decimal places. 0.000025 Round -30913.8 to the nearest one thousand. -31000 What is 0.10606393 rounded to 3 decimal places? 0.106 What is -256.8115 rounded to the nearest integer? -257 Round 6575.63 to the nearest ten. 6580 Round -1066007 to the nearest one hundred thousand. -1100000 Round -18813.31 to the nearest 100. -18800 What is 0.00254665 rounded to 3 decimal places? 0.003 What is -9492400 rounded to the nearest 100000? -9500000 Round 10409.57 to the nearest ten. 10410 Round 35130.49 to the nearest 1000. 35000 What is -1.0107193 rounded to 1 decimal place? -1 Round -394352 to the nearest 100000. -400000 Round 4294.58 to the nearest 100. 4300 Round 79000.5 to the nearest 10000. 80000 What is 0.0000026947672 rounded to seven dps? 0.0000027 Round -7.35031 to the nearest integer. -7 What is -4199.723 rounded to the nearest 10? -4200 What is 88223.43 rounded to the nearest 10? 88220 Round -0.00915231 to 4 decimal places. -0.0092 What is -7899540 rounded to the nearest ten thousand? -7900000 Round -0.061466291 to two dps. -0.06 Round 1263289 to the nearest 100000. 1300000 What is -0.9569012 rounded to three dps? -0.957 Round -1788.2 to the nearest one hundred. -1800 Round 4.088738 to two decimal places. 4.09 What is -3709.517 rounded to the nearest 10? -3710 What is -9.762 rounded to the nearest 10? -10 Round 0.0000034856959 to seven decimal places. 0.0000035 Round -0.0000032039811 to seven decimal places. -0.0000032 What is -9018707 rounded to the nearest 1000000? -9000000 Round 0.746824 to three dps. 0.747 Round -34165030 to the nearest 100000. -34200000 Round 92108 to the nearest 1000. 92000 Round -825.952 to the nearest ten. -830 What is -0.011409369 rounded to 3 dps? -0.011 Round -112715.54 to the nearest ten. -112720 Round 35974 to the nearest 100000. 0 Round 0.024358 to 2 dps. 0.02 Round 0.0859498 to two dps. 0.09 Round -0.001471438 to 4 dps. -0.0015 What is 152085510 rounded to the nearest one million? 152000000 What is 0.017706444 rounded to four decimal places? 0.0177 Round 504621 to the nearest 1000. 505000 What is -380678600 rounded to the nearest one million? -381000000 Round 828.8522 to the nearest 100. 800 What is -155182.9 rounded to the nearest 10? -155180 Round 0.357589 to 3 decimal places. 0.358 What is -0.001000184 rounded to five decimal places? -0.001 What is -980742 rounded to the nearest 1000? -981000 Round -162.03 to the nearest ten. -160 What is -31145470 rounded to the nearest one million? -31000000 What is -98226.4 rounded to the nearest one thousand? -98000 What is 37681 rounded to the nearest ten thousand? 40000 Round 0.000000767977 to 7 dps. 0.0000008 Round -105.77735 to the nearest ten. -110 Round 0.0000025844294 to seven dps. 0.0000026 Round 0.000022321536 to six decimal places. 0.000022 Round 0.000585202 to 6 decimal places. 0.000585 What is -136254000 rounded to the nearest one million? -136000000 Round -0.0018148759 to 4 dps. -0.0018 Round 0.096859 to one decimal place. 0.1 What is 719863000 rounded to the nearest 1000000? 720000000 What is 0.000135818 rounded to six decimal places? 0.000136 Round 31.68296 to two dps. 31.68 What is 15786.6 rounded to the nearest ten thousand? 20000 What is -1413395 rounded to the nearest one thousand? -1413000 Round -0.93314 to one decimal place. -0.9 What is -0.005522104 rounded to 6 dps? -0.005522 What is -2925.04 rounded to the nearest 100? -2900 Round -1545.771 to the nearest one thousand. -2000 Round 0.0009186522 to 4 dps. 0.0009 Round -43031.5 to the nearest one thousand. -43000 Round 508530.2 to the nearest one hundred thousand. 500000 Round -0.253592 to 3 decimal places. -0.254 Round -152784.1 to the nearest 10000. -150000 What is 694.57895 rounded to one decimal place? 694.6 What is -11429.1 rounded to the nearest 1000? -11000 Round -25517.9 to the nearest 10000. -30000 What is -3.052379 rounded to two dps? -3.05 Round -0.0000490352 to 7 decimal places. -0.000049 What is -0.0002359822 rounded to 7 dps? -0.000236 Round 1.0029676 to 3 decimal places. 1.003 What is -0.0005868021 rounded to 5 decimal places? -0.00059 Round -0.000000915849 to seven dps. -0.0000009 What is 1.659977 rounded to one dp? 1.7 Round 0.00004757724 to 5 dps. 0.00005 What is -15347.868 rounded to the
{ "pile_set_name": "DM Mathematics" }
g m is positive. m**(1668/77) Simplify (d/((d/(d**(-3/7)*d))/d))**47/(d**(-2/7)/d**21) assuming d is positive. d**(666/7) Simplify (m/((m*(m/(m*(m*m**(-17))/m*m))/m)/m))**(-17/2)/((m*(m/((m/m**(-7/3))/m))/m)/m)**(-14/5) assuming m is positive. m**(1687/15) Simplify ((f*f**(-11)*f)/(f*f**3*f*f*f))/((f/(f*f/f**(-14)*f))/(f/(f/(f*f/((f*f*f**(-19))/f)*f*f)))) assuming f is positive. f**22 Simplify ((p*(p**4/p*p)/p)/p**(6/7))**(2/35) assuming p is positive. p**(44/245) Simplify (((u/(u*u*u**5*u))/(u**(-5)*u))/((u/(u*u**9/u))/u**(2/21)))**21 assuming u is positive. u**107 Simplify (((i**(-2/7)*i)**(-19))**(1/24))**(18/7) assuming i is positive. i**(-285/196) Simplify ((x**(-2)*x**(2/3)/x)**(-32))**(-1/13) assuming x is positive. x**(-224/39) Simplify (l**(-2/5)/l)**(-23)/(l/((l/(l/(l/l**(-9))))/l))**(-34) assuming l is positive. l**(-1199/5) Simplify (g/g**(8/5)*g)**(-7)*g*g/g**(-2/19)*g/((g*g**(2/143))/g) assuming g is positive. g**(3957/13585) Simplify (w/w**(3/2)*w)**(-2/171)*(w**(-26)/w)/w*w**(-2/3) assuming w is positive. w**(-4903/171) Simplify t**(1/20)*t*t/t**(2/17)*t**(-5)*t/((t/t**(-19/4))/t) assuming t is positive. t**(-1159/170) Simplify b**5*b**8*b*((b/b**(-5)*b)/b)**(-1/5) assuming b is positive. b**(64/5) Simplify ((z/z**(-2/7))/(z*z**(1/13)*z))/(z**(-15)*(z*z/z**11)/z*z) assuming z is positive. z**(2112/91) Simplify ((v**(2/7))**(-7/10)*v*v/v**(-1/3)*v**5*v)**(31/5) assuming v is positive. v**(3782/75) Simplify ((s/((s*s*s**(-1))/s))**13/(s**(-2)/s)**(7/10))**(1/22) assuming s is positive. s**(151/220) Simplify ((d**(-2/3))**(2/39)/(d*d**(2/31)*d*d*d**(-7)))**(-2/13) assuming d is positive. d**(-28300/47151) Simplify ((((y/(y/(((y*y*y**(-3))/y)/y)))/y)/(y/y**(-3/8)))/(y**(2/3)/(y*y**0)))**(1/23) assuming y is positive. y**(-121/552) Simplify (x**(5/6)*x**5)**(-2/131) assuming x is positive. x**(-35/393) Simplify ((p/(p/p**(-12)))/p**(-1/22))/(p**16/p*p*p**(1/6)/p) assuming p is positive. p**(-895/33) Simplify ((((((n/((n**(-3/13)/n)/n))/n)/n)/n)/n)/n**(1/2))/(n**(-7/4)/(n/n**(2/7)*n)) assuming n is positive. n**(799/364) Simplify p**(-6/13)*p/(p/(((p/(p*p**(5/6))*p)/p)/p))*p/(p**(-6)*p)*p*p*p*p/((p*p**9)/p) assuming p is positive. p**(-101/78) Simplify (u**1)**(-47)/((u/(((u**(-2/29)*u)/u)/u))/u*u*u**(-24)) assuming u is positive. u**(-727/29) Simplify (((q*q**(1/11))/q)/q*q)**(-1/49)/(q**(1/11)*q**14) assuming q is positive. q**(-7596/539) Simplify ((a**28*a)/a*a)/(a*a**(-18/11))*a**35*a/(a**(-2/41)*a) assuming a is positive. a**(29173/451) Simplify (y*y/((y*y**(-22)*y)/y*y)*y*y*y**4)/((y**4*y)/y)**(2/3) assuming y is positive. y**(76/3) Simplify q**(-4/5)*q/q**0*q*(q**(5/4)*q)/q*q/q**(-7) assuming q is positive. q**(209/20) Simplify (i/(i*i**(1/9))*i)/i**4*(i**0)**(3/37) assuming i is positive. i**(-28/9) Simplify ((d**(-2)*d/d**(-5/2))/(d**(1/4))**(-2/29))**22 assuming d is positive. d**(968/29) Simplify (z**(-5/3)/z*z**(-7)*(z/(z**(2/3)/z))/z*z*z*z/(z/(z*z/(z/(z/(z/(z*z*z*(z*z*z**(3/8))/z))))*z)))**(-4/5) assuming z is positive. z**(23/30) Simplify (u/u**(-12))/u**9*(u**(-7)*u)/(u/(u/u**18*u*u)) assuming u is positive. u**(-18) Simplify (v*v**(-1))**(2/9)/(v**(-3/2)/(v/(v*v/v**(-3/2)))) assuming v is positive. 1/v Simplify ((m/m**1)**(4/11)*(m/(m/m**(-1/6))*m)/m*m*m**4*m)**(5/2) assuming m is positive. m**(175/12) Simplify v**(-16)/(v/v**(-7/3))*(v**(1/2))**(-15/4) assuming v is positive. v**(-509/24) Simplify u**(2/5)/u*u*u*u**(-2/17)*u*(u**9*u*u*u)**(-43/5) assuming u is positive. u**(-8578/85) Simplify (x*x**2)**(5/6)*(x/(x/(x*x**(1/14))))/(x/(x*x*x**(2/19))) assuming x is positive. x**(622/133) Simplify (f**(2/3)/f**(-13))/(f/(f**13*f)*f**(-13)) assuming f is positive. f**(119/3) Simplify ((k*k*k*k**(1/3)/k*k)**(-1/5)*k*k/(k/((k*k**0*k)/k))*k/(k*k**(1/3)/k*k*k)*k*k)**(1/53) assuming k is positive. k**(2/53) Simplify (k/((k/((k**(1/20)*k)/k))/k*k*k)*(k/(k*k**(-24)))/k*k)**(-1/2) assuming k is positive. k**(-461/40) Simplify ((s*(s/(s*s**(2/3)))/s*s)/s)**(-42/11)*s**(-10)*s**(-11) assuming s is positive. s**(-203/11) Simplify (k/((k/k**(2/9))/k)*k)**(-27)/(k**(-6/5)*k/k**1) assuming k is positive. k**(-294/5) Simplify ((f*f*f*((f*f**13)/f)/f*f*f*f*f/(f/((f**(-5/3)/f)/f)*f))/((f*f/(f**(-8/5)/f))/f**(-12)))**(-1/15) assuming f is positive. f**(49/225) Simplify (x/x**(-1/17))/(x*x**(1/6)*x*x)*x**(2/21)/(x*(x**17*x)/x) assuming x is positive. x**(-4763/238) Simplify (u**(1/10)*u)/(((u**(2/23)*u)/u)/u*u)*u**16*u/((u/u**18)/u) assuming u is positive. u**(8283/230) Simplify (i/(i/(i*i/i**(-1/4))))**(1/10)/(i/((((i/i**(1/6))/i)/i)/i)*i**4) assuming i is positive. i**(-833/120) Simplify ((s**(-15/7)*s)/s**(1/3))**(2/45) assuming s is positive. s**(-62/945) Simplify (t/t**(5/8))**(33/5)/(t**(-9/4)*t*t)**(28/9) assuming t is positive. t**(1171/360) Simplify (k**22*k**(-1/2))/(((k*k**(-3/5)*k)/k)/k*k/k**(5/4)*k) assuming k is positive. k**(427/20) Simplify (((m**6/m)/(m/((m/m**5)/m*m)))/(m**(-3/4)*m/(m*((m/m**3)/m)/m)))**41 assuming m is positive. m**(-533/4) Simplify (a**(2/11)/a**16)/((a/a**(1/39))/((((a*a**(-13))/a*a)/a)/a)) assuming a is positive. a**(-13210/429) Simplify (x/x**(2/21))**(-1/57)*(x**(-2))**(-19/3) assuming x is positive. x**(797/63) Simplify ((n**(-2/7))**24/((n*n**4)/((n/(n/n**(-2/11)*n))/n*n)))**(3/29) assuming n is positive. n**(-3012/2233) Simplify (((z/(z/(z**(4/7)/z))*z*z*z)/z*z)/(((z/z**20)/z)/z))/(((z*z/z**(1/5))/z*z)/z)**32 assuming z is positive. z**(-71/35) Simplify k**(-15)/k**(2/5)*(k**(-3/11)/k)**(-8/3) assuming k is positive. k**(-1981/165) Simplify (f**4)**(-4/25)*f/f**(3/13)*f*f*f**(-4/13) assuming f is positive. f**(592/325) Simplify (o**4*o**(9/4)/o)/((o**(-4)*o)/(((o/(o/(o**(-26)/o)))/o)/o*o)) assuming o is positive. o**(-79/4) Simplify (t*t**(-2))**50*t**14*t**(-7) assuming t is positive. t**(-43) Simplify (a**(-10)*a/a**(-5/2)*(a*a**(-2))**(-5/4))**(-28) assuming a is positive. a**147 Simplify (i**(5/2)*i*i/(i*i**16))/(i**(-6/5)/(i**(-10)/i)) assuming i is positive. i**(-223/10) Simplify (((y**15/y)/y)/y**(2/129))**(15/11) assuming y is positive. y**(8375/473) Simplify (((y**(-4)/y)/y)/y)**42/(y**(1/10)*y/(y/(y**11*y*y))*y) assuming y is positive. y**(-3081/10) Simplify v**(2/47)/(v*(v/(v/(v*v**(2/3)/v)))/v*v)*(v**23/v)/v*(v/v**(3/4))/v assuming v is positive. v**(10505/564) Simplify ((((c*c**(-2/3)*c)/c)/c)/(c/c**(-7))*(c/c**0)**(-16))**(1/75) assuming c is positive. c**(-74/225) Simplify (t**(-34)/t**(-7))/(t**(5/8)*t*t*t**(1/43)*t) assuming t is positive. t**(-10543/344) Simplify (x**(2/9))**(-25)/(x/x**(-1/7)*x**16*x) assuming x is positive. x**(-1493/63) Simplify (g**(2/5))**(5/6)/(g**0)**(-8/15) assuming g is positive. g**(1/3) Simplify (b*b**13)/(b*b**31)*(b**5/b)**24 assuming b is positive. b**78 Simplify (((x/(x*x/(((x*x*x**6*x)/x)/x)*x*x))/x)/((x/(x/(x**(1/8)/x)*x)*x)/x))/((x**0*x)/x*x)**(3/23) assuming x is positive. x**(873/184) Simplify (y**(1/2)/y*y)**38*y**(-5)*y*(y/(y**10*y))/y*y assuming y is positive. y**5 Simplify (z/z**(-7/5))**(-35)/(((z/(z/(z**20*z)))/z)/z**(1/8)) assuming z is positive. z**(-831/8) Simplify (b**(1/5))**(5/6)/(((b*(b*b**19)/b)/b)/b**(-12/11)) assuming b is positive. b**(-1315/66) Simplify (i*((i**(-30)/i)/i)/i*i)/i*i*i/(i*i**(-4/3))*i*(i**(3/13))**49 assuming i is positive. i**(-677/39) Simplify (x*x*x/(x*x**26)*x)/x**(3/4)*(x/(x**31*x)*x)/x*x*x**(3/19)*x assuming x is positive. x**(-3997/76) Simplify a/a**(2/17)*a/(a*a**(-1/7))*a**(-13)*a/(a*(((a/(a*a/(a*a*a**(4/5))))/a)/a)/a)*a assuming a is positive. a**(-5816/595) Simplify z**7*z*z*z*z/(((z**(1/30)/z)/z*z)/z)*z*z*z*((z*z*z**14)/z)/z*z**(-7)*z assuming z is positive. z**(719/30) Simplify (z**(-32/7)/(z*z**33))/(z*z*z*z/(z/(z*(z*z**(-19)*z)/z)))**(-18) assuming z is positive. z**(-2034/7) Simplify ((l*l**(7/2)*l**(-15))**30)**30 assuming l is positive. l**(-9450) Simplify (((y**3*y)/y)/y)**(-2/33)*(((y**(-3/4)/y)/y)/y)/y**(-3/8) assuming y is positive. y**(-923/264) Simplify ((x*x**(1/7)*x*x)/(((x/(x*x**(-2/101)*x*x*x))/x)/x*x))**12 assuming x is positive. x**(60432/707) Simplify ((h*h*h/(h*h**1)*h)**(-12)/(h**(-4)/(h*h**(2/7)/h)))**(-30) assuming h is positive. h**(4140/7) Simplify u**(-2)*u*u**(-8/3)*u*(u*u*u**4)**(4/27) assuming u is positive. u**(-16/9) Simplify (((w**4/w*w*w*w)**35)**49)**(-2/45) a
{ "pile_set_name": "DM Mathematics" }
from nniihini? 3/28 Calculate prob of picking 2 c when two letters picked without replacement from cuccuuuuo. 1/12 Calculate prob of picking 3 s when three letters picked without replacement from svsvsv. 1/20 What is prob of picking 1 j, 1 l, and 1 w when three letters picked without replacement from {w: 3, l: 4, j: 2, n: 2}? 8/55 Calculate prob of picking 2 w and 2 l when four letters picked without replacement from wwlwmmmwlmllwmlwllm. 105/1292 What is prob of picking 1 k and 1 w when two letters picked without replacement from mvwkrrvk? 1/14 Two letters picked without replacement from mmmnmmnnmnmn. Give prob of picking 1 m and 1 n. 35/66 What is prob of picking 1 a and 1 m when two letters picked without replacement from {r: 2, a: 6, i: 1, c: 2, m: 4}? 8/35 Four letters picked without replacement from {r: 1, y: 4, b: 1, n: 5}. What is prob of picking 1 r and 3 n? 1/33 Calculate prob of picking 3 x when three letters picked without replacement from {x: 6}. 1 Four letters picked without replacement from {p: 7, g: 1}. Give prob of picking 3 p and 1 g. 1/2 Four letters picked without replacement from {t: 4, w: 3}. What is prob of picking 3 t and 1 w? 12/35 What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 1, z: 1, v: 2, k: 2, n: 1, x: 2}? 1/36 Calculate prob of picking 2 b when two letters picked without replacement from zzccbzzczcbmcbym. 1/40 Two letters picked without replacement from {j: 1, z: 5, c: 14}. Give prob of picking 1 c and 1 j. 7/95 Calculate prob of picking 1 r and 3 w when four letters picked without replacement from wrwrgggrwwgw. 2/33 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from afxfccfxfcxcccxccaa. 4/57 Calculate prob of picking 2 a and 1 y when three letters picked without replacement from ayacayyc. 9/56 Four letters picked without replacement from {p: 1, z: 1, v: 1, r: 1, b: 1, m: 2}. What is prob of picking 2 m, 1 p, and 1 b? 1/35 Calculate prob of picking 2 e and 2 y when four letters picked without replacement from yyeyeeeyeeeyeyeyyy. 36/85 What is prob of picking 3 e when three letters picked without replacement from eelell? 1/20 Three letters picked without replacement from pqqqkpqpkqqpk. Give prob of picking 2 q and 1 p. 30/143 Two letters picked without replacement from cmm. What is prob of picking 2 m? 1/3 Two letters picked without replacement from {w: 3, y: 2, c: 1, l: 1, t: 1, m: 4}. Give prob of picking 1 y and 1 c. 1/33 Four letters picked without replacement from {f: 3, s: 7, n: 5, h: 2}. Give prob of picking 1 f, 2 n, and 1 s. 3/34 Calculate prob of picking 1 s and 2 n when three letters picked without replacement from ssnssnsss. 1/12 Four letters picked without replacement from {x: 6, t: 2}. Give prob of picking 3 x and 1 t. 4/7 Two letters picked without replacement from {d: 5, l: 9}. What is prob of picking 2 l? 36/91 What is prob of picking 1 a and 2 d when three letters picked without replacement from {d: 2, y: 1, m: 2, a: 1}? 1/20 Two letters picked without replacement from iijjjiiijtkkppjpiks. Give prob of picking 1 i and 1 s. 2/57 Four letters picked without replacement from bdaadadadb. Give prob of picking 2 b, 1 a, and 1 d. 8/105 What is prob of picking 1 o and 2 q when three letters picked without replacement from {e: 3, q: 1, d: 7, o: 1}? 0 What is prob of picking 3 x when three letters picked without replacement from mmxxjmmmxxxmmxmjmx? 35/816 Two letters picked without replacement from {r: 1, w: 5, z: 2, p: 1}. What is prob of picking 1 p and 1 w? 5/36 Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vnfnfnfvnnvfnn. 3/13 What is prob of picking 3 w when three letters picked without replacement from jkffkwkwkkfkfxfjfw? 1/816 Four letters picked without replacement from {w: 3, b: 3, z: 1}. What is prob of picking 1 w, 1 z, and 2 b? 9/35 Four letters picked without replacement from fffff. What is prob of picking 4 f? 1 Calculate prob of picking 1 p and 1 f when two letters picked without replacement from ypfupyupppp. 6/55 Calculate prob of picking 1 d, 1 f, and 1 a when three letters picked without replacement from dafklkdkrkfl. 1/55 What is prob of picking 1 k and 2 z when three letters picked without replacement from {k: 3, z: 2, f: 5}? 1/40 Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, n: 4, h: 2, r: 4, j: 1, w: 3}. 2/35 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from njncjnnmn. 5/36 Three letters picked without replacement from {n: 3, a: 3}. What is prob of picking 2 n and 1 a? 9/20 Two letters picked without replacement from {f: 3, d: 9, e: 1, h: 4, j: 1}. Give prob of picking 2 h. 2/51 Four letters picked without replacement from ssssssssss. Give prob of picking 4 s. 1 Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {v: 2, a: 2, x: 1, j: 14}. 28/171 Two letters picked without replacement from {j: 11, d: 1}. Give prob of picking 1 j and 1 d. 1/6 Two letters picked without replacement from {g: 2, p: 3}. Give prob of picking 2 g. 1/10 Calculate prob of picking 2 i and 1 u when three letters picked without replacement from luuuulliuilluliuilul. 4/95 Three letters picked without replacement from {m: 12, k: 1}. Give prob of picking 3 m. 10/13 Three letters picked without replacement from {i: 6, b: 4, z: 3, h: 2, g: 2}. What is prob of picking 2 b and 1 i? 9/170 Four letters picked without replacement from uulngumulmnoom. What is prob of picking 1 m, 2 l, and 1 n? 6/1001 Calculate prob of picking 3 d when three letters picked without replacement from ddddddddddddo. 10/13 Calculate prob of picking 4 c when four letters picked without replacement from ccccccccccclccccccc. 15/19 What is prob of picking 4 a when four letters picked without replacement from akkakakkaakaaakkak? 7/170 What is prob of picking 2 t when two letters picked without replacement from {x: 1, t: 2, k: 2}? 1/10 What is prob of picking 2 e and 1 c when three letters picked without replacement from {e: 3, k: 4, w: 2, c: 3, z: 6}? 3/272 Four letters picked without replacement from tittititttiitttitt. What is prob of picking 2 t and 2 i? 11/34 Two letters picked without replacement from zwwpqqwzwwzwwzwvzz. Give prob of picking 2 z. 5/51 What is prob of picking 1 w and 1 d when two letters picked without replacement from llcddvwdhvwl? 1/11 Calculate prob of picking 1 u, 1 r, and 2 l when four letters picked without replacement from rlublllb. 3/35 Three letters picked without replacement from cmccccmmmccbcmm. Give prob of picking 3 m. 4/91 Four letters picked without replacement from mprppmmmmmprprgplmm. What is prob of picking 1 m and 3 p? 40/969 What is prob of picking 2 k and 1 c when three letters picked without replacement from {s: 2, c: 3, h: 2, m: 1, k: 3, n: 3}? 9/364 What is prob of picking 2 d and 1 w when three letters picked without replacement from {w: 7, d: 5}? 7/22 What is prob of picking 3 u when three letters picked without replacement from {u: 7, n: 7}? 5/52 Three letters picked without replacement from busbbuubbsbububub. What is prob of picking 2 s and 1 u? 3/340 Two letters picked without replacement from {o: 2, q: 1, d: 2, x: 1}. Give prob of picking 1 d and 1 o. 4/15 What is prob of picking 3 f and 1 n when four letters picked without replacement from fbffffnbbfbnbff? 16/195 Three letters picked without replacement from {h: 9, f: 5, w: 1, z: 1}. What is prob of picking 1 f, 1 w, and 1 z? 1/112 Two letters picked without replacement from mhbussut. What is prob of picking 1 u and 1 h? 1/14 Three letters picked without replacement from {b: 8, a: 2}. Give prob of picking 1 a and 2 b. 7/15 Calculate prob of picking 1 n, 1 a, and 1 o when three letters picked without replacement from {o: 1, n: 1, a: 2}. 1/2 Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rxrxxrrrxrr. 14/33 What is prob of picking 1 b and 2 u when three letters picked without replacement from buuuuuububuu? 27/55 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {n: 3, e: 2, x: 2, l: 10, y: 2}. 20/171 Two letters picked without replacement from id
{ "pile_set_name": "DM Mathematics" }
6)). 1 ((-15)/5)/(((-6)/(-1))/(-6)) 3 (2/12)/(6/9) 1/4 5/(-1)*18/(-150)*1 3/5 What is the value of (0/2)/(7/(7/1))? 0 What is the value of 2*(-1)/54*-6? 2/9 Evaluate 2*5/(70/7)*-5. -5 Evaluate (32/(-12))/((-4)/(-6)). -4 What is the value of 40/(-10)*(-5)/(-4)? -5 4/(-9)*18/(-60) 2/15 What is 3/(-3)*(-39)/(-13)? -3 16/128*16*2/8 1/2 What is (40/(-24))/(((-20)/4)/(-5))? -5/3 Calculate 3*21/126*(-8)/2. -2 1*(-1)/((-7)/(-7))*1 -1 What is (2/4*-3)/((-29)/116)? 6 What is (18/(-42))/(-3)*56/44? 2/11 (-24)/(-2)*2*(-4)/(-16) 6 Evaluate (3/(-25))/(((-96)/(-20))/(-4)). 1/10 (4/((-16)/10))/(80/(-160)) 5 What is (-1)/2*174/116? -3/4 ((-1)/(4/16))/2 -2 Evaluate 3*-6*(-15)/90. 3 Calculate (((-135)/10)/(-27))/2. 1/4 What is the value of (1/3)/(((-15)/5)/45)? -5 2/(8/12*(-6)/(-8)) 4 2/((-144)/(-6))*-3 -1/4 Evaluate ((-23)/23)/(-2*1/2). 1 Evaluate 3*(-7)/((-98)/14). 3 Calculate 4/30*(960/(-18))/(-16). 4/9 Calculate 2/(-3)*11/((-44)/(-24)). -4 Evaluate 2/(-2)*(-28)/(-84). -1/3 Evaluate ((8/(-108))/1)/((-48)/(-144)). -2/9 Evaluate 9/(-2)*(-16)/24. 3 What is (((-18)/(-28))/1)/(1200/(-700))? -3/8 (-10)/(-3)*(-54)/45 -4 What is the value of (-1)/2*(-70)/140? 1/4 Evaluate (-60)/(-30)*1/(-5). -2/5 What is the value of (-3*(-3)/(-9))/11? -1/11 Evaluate (-3)/((-252)/(-4))*6. -2/7 Calculate ((-4)/(-14))/((-14)/(-14)). 2/7 What is the value of 1/(-3)*117/195? -1/5 What is (-4)/(-20)*3*1*1? 3/5 Evaluate ((-4)/14)/((135/(-21))/5). 2/9 What is the value of 8/36*3/7*12? 8/7 What is the value of ((-235)/12)/47*(-28)/10? 7/6 6*((-6)/(-15))/(28/(-35)) -3 (16/(-6))/(((-145)/87)/5) 8 What is the value of (-9)/(14/((-28)/3))? 6 What is the value of (-6)/(-39)*3*4/(-12)? -2/13 What is ((-243)/126)/(-9)*(-4)/9? -2/21 What is (32/(-24))/((32/(-6))/2)? 1/2 Calculate (((-3)/1)/132)/(96/(-384)). 1/11 Evaluate 0/((-12)/30*5). 0 6*(-3)/(45/5) -2 What is (6/(-4))/(((-30)/(-1))/5)? -1/4 What is the value of (5/2)/5*(-1)/(-1)? 1/2 Calculate (((-16)/4)/(-4))/14*-4. -2/7 (4/5)/(-2)*180/108 -2/3 Evaluate ((-2)/6)/(2/30). -5 What is the value of (3*1/(-9))/1*-12? 4 What is (-16)/2*(-142)/142? 8 What is 3/(-15)*(-30)/4? 3/2 Evaluate (-2)/(3*16/(-120)). 5 What is the value of 3*-3*9/(-189)? 3/7 What is the value of ((-24)/3)/(24/(-18))? 6 Calculate 3/18*(-12)/3*6. -4 (2/1)/((-77)/77) -2 Evaluate (-4)/8*(-4)/16*-6. -3/4 Calculate (-3)/(-12)*2*(-40)/25. -4/5 What is the value of ((-14)/21)/((-10)/(-12))*-5? 4 What is the value of (-4)/6*180/48? -5/2 2*5*(10/(-4))/5 -5 What is the value of (60/70)/(-2)*-7? 3 (-16)/(-5)*530/212 8 (18/(-18))/(((-10)/(-8))/(-5)) 4 Calculate ((-5)/(-5))/(11/55). 5 (30/(40/8))/10 3/5 What is ((-2)/(-12)*-4)/(2/6)? -2 What is (-30)/55*10/30? -2/11 What is the value of ((-6)/((-6)/3))/7? 3/7 5*2/4*2 5 (-1)/1*48/60 -4/5 Evaluate ((-4)/(-17))/((-25)/((-175)/14)). 2/17 Evaluate ((-6)/18)/(16/336). -7 4/((-3)/((-12)/(-104))) -2/13 What is the value of (-1*(-2)/(-8))/((-22)/(-88))? -1 Evaluate 66/(-44)*4/6. -1 What is the value of ((-20)/(-225))/(8/20)? 2/9 Evaluate ((-10)/2)/1*(-4)/(-20). -1 Calculate 64/8*3/8. 3 ((-1)/(-2))/((-14)/8) -2/7 (-7)/((-70)/24)*(-10)/(-4) 6 Calculate 1/((-2)/(-10))*40/(-50). -4 What is the value of (1/(-8)*2)/((-90)/240)? 2/3 (-12)/3*-2*(-9)/24 -3 (1*(-6)/12)/(2/4) -1 (-20)/(3/(-4)*24/(-9)) -10 What is the value of ((-6)/((-36)/6))/((-1)/(-4))? 4 Evaluate ((-6)/(-9))/(8/6). 1/2 What is (-4)/((-25)/(50/(-12)))? -2/3 What is the value of -1*1*8*13/(-208)? 1/2 (-3)/(-12)*4/1 1 What is the value of ((-14)/21)/(6/9)? -1 What is the value of (2/1)/(-2*4/(-2))? 1/2 Evaluate (2/12)/(10/(-40))*6. -4 What is (2*3*12/8)/3? 3 Evaluate (-9)/12*32/(-48)*-1. -1/2 What is the value of ((-32)/120)/((-12)/9)? 1/5 What is 7/((-462)/6)*1? -1/11 Evaluate (-20)/18*(-186)/310. 2/3 6*2/(-3)*(-2)/20 2/5 What is the value of (1/(-34))/(44/176)? -2/17 What is ((-4)/(-48)*-20)/((-1)/(-3))? -5 Evaluate ((1/(-1))/(-1))/((-3)/12). -4 What is the value of ((-60)/18)/(1*(-2)/(-3))? -5 Evaluate (((-2)/1)/54)/(143/(-858)). 2/9 What is 195/39*12/10? 6 What is the value of (11/(22/12))/(-2)? -3 5/2*24/30 2 Calculate (-40)/(-12)*((-48)/10)/2. -8 What is 1*(-8)/6*(-27)/36? 1 What is (2/56*32)/((-12)/14)? -4/3 What is 2/((60/8)/5*2)? 2/3 What is the value of 1/(2*4/(-20*2))? -5 What is the value of 104/(-78)*5/20? -1/3 What is 5/2*24/45*-1? -4/3 (8/10)/(-2)*30/(-12) 1 What is the value of (-7)/(-2)*(-10)/(-60)*12? 7 28/(-6)*(-33)/77 2 Calculate (-27)/18*4*(-2)/(-54). -2/9 What is 7*14/147*3? 2 What is the value of 5*7/(-70)*(-1)/5? 1/10 Evaluate (150/25*2/(-4))/(-1). 3 Calculate (3/(18/15))/((-780)/(-117)). 3/8 What is the value of (132/(-88))/(18/8)? -2/3 Evaluate (0/(-18))/(1/((-2)/2)). 0 What is the value of 12/4*((-45)/40)/(-9)? 3/8 (-18)/3*-1*6/(-12) -3 Evaluate 3/(-4)*(-119)/(-357). -1/4 Evaluate -18*(-7)/147*-7. -6 (-7)/280*(-2)/(20/(-25)) -1/16 What is the value of (1/(-4))/((-8)/12*-1)? -3/8 Evaluate (-9)/6*1/3*-6. 3 What is the value of (370/(-148))/(2/(-8))? 10 What is 18/(-4)*20/(-30)? 3 What is the value of -6*((-3)/(-3))/(-2)? 3 Evaluate 25/(-15)*-3*-1. -5 Evaluate (15/5)/(12/4). 1 Calculate (64/(-8))/(-8)*2/7. 2/7 What is (((-12)/(-20))/(-3))/1? -1/5 Evaluate (8/(-7))/((-72)/(-252)). -4 9/(378/35)*27/(-60) -3/8 What is the value of (3/(-10))/((-21)/(-84))? -6/5 Evaluate 4/12*-1*1/3. -1/9 Calculate (25/5)/20*20. 5 What is ((-6)/7)/(57/(-266))? 4 What is the value of ((-2)/(-4))/((-885)/118)? -1/15 Calculate 6/4*24/54*3. 2 Evaluate 5*-4*(-1)/130. 2/13 Calculate (6/81)/(((-126)/27)/(-7)). 1/9 Evaluate ((-36)/72)/((-14)/4). 1/7 What is the value of 1*3/((-3)/(-4))? 4 Calculate 4*-1*(-5)/100. 1/5 ((-1)/((-36)/(-2)))/((-2)/(-6)) -1/6 2/(-10)*(-31)/((-1581)/(-340)) 4/3 Calculate -6*1/(-24)*16/8. 1/2 Evaluate (90/135)/((-4)/6). -1 What is (2/10)/(8/20)? 1/2 Calculate 3/(-45)*3/18*-15. 1/6 What is the value of (-4)/10*(55/(-3))/(-11)? -2/3 (-312)/416*16/(-22) 6/11 Calculate (1/8)/(2*75/(-200)). -1/6 Evaluate 5/(-1)*1*(-35)/35. 5 What is the value of (-14)/(-7)*(-10)/4? -5 Calculate ((-2)/(-14)*6)/((-216)/(-336)). 4/3 Calculate 7/((-35)/25)*(-4)/10. 2 What is (1/1)/(-26)*4? -2/13 What is the value of (2/(10/15))/(3/2)? 2 Calculate 81/(-36)*(-1)/(3/(-1)). -3/4 What is the value of (1*(-4)/6)/((-64)/(-288))? -3 What is the value of ((-4)/(-135))/((-12)/(-30))? 2/27 What is the value of ((-15)/9)/((16/(-4))/(-12))? -5 Calculate 12*1*-9*(-5)/90. 6 ((-64)/(-6))/(-8)*(-6)/116 2/29 Calculate (((-72)/9)/(-8))/(2*-1). -1/2 (-1)/(-3)*-1*-1 1/3 Evaluate (-15)/(-3)*(-24)/420. -2/7 What is the value of (-6)/(-6)*(-2)/(-8)? 1/4 ((-14)/((-448)/4))/(-1) -1/8 Evaluate ((-4)/(-36))/(32/360). 5/4 Evaluate ((-11)/22)/((-28)/16). 2/7 Evaluate (4/2)/(-1*6/9). -3 What is ((-8)/(-14))/(11/(-11))? -4/7 What is 2/(10*(-13)/(455/(-28)))? 1/4 Evaluate ((-10)/25)/((-2)/(-1)*-1). 1/5 (-12)/5*(-2)/(-8)*1 -3/5 What is the value of (20/12)/((-30)/(-90))? 5 What is -15*(11/33)/1? -5 What is the value of 18/(-30)*(-10)/33? 2/11 What is the value of ((-75)/6)/5*(-26)/(-130)? -1/2 What is the value of (-32)/12*-1*(-3)/2? -4 What is the value of ((-142)/639)/((-5)/((-30)/4))? -1/3 Evaluate 2/(-12)*4*2/(-4). 1/3 What is the value of (-2)/(-2)*(-3)/((-45)/5)? 1/3 Calculate (3/(-9))/(((-51)/2)/(-17)). -2/9 What is the value of (((-80)/(-32))/((-1)/2))/1? -5 2*((-16)/10)/8 -2/5 11/(-11)*(-2)/(-2) -1 Evaluate 9*1/(-1)*1/(-3). 3 What is the value of 6/8*-7*40/(-210)? 1 Calculate (1*18/12)/(12/16). 2 Evaluate (-3)/1*76/114. -2 What is the value of (4*(-3)/16)/((-81)/24)? 2/9 What is -6*(16/216)/((-4)/6)? 2/3 What is (0/((-1)/(-1)))/(-3)? 0 -3*12/(-72)*-10 -5 -1*2/((-10)/(-25)) -5 What is the value of (35/(-14))/(((-8)/1)/(-16))? -5 (4/(-3))/(-5*12/90) 2 (-1)/(16/(-32))*(-2)/4 -1 What is (-123)/(-82)*42/(-9)? -7 Evaluate 15/(-90)*12/((-6)/(-2)). -2/3 What is the value of (-4)/1*5*49/(-140)? 7 What is (87/(-116))/(2/(-1))? 3/8 Evaluate (25/10)/((-3)/(-6)*-1). -5 What is (5*4/(-50))/(1/(-10))? 4 What is the value of (3/60)/((-56)/70)? -1/16 Evaluate (-1)/(((-63)/105)/(3*-2)). -10 9/(-10)*(-130)/312 3/8 Evaluate (-28)/(-56)*-2*2*-2. 4 Evaluate ((-9)/(-6))/((-18)/(-24)). 2 What is the value of (-112)/84*3/2? -2 ((-17)/34)/((-11)/2) 1/11 What is ((-1)/40)/(32/80)? -1/16 What is the value of (24/128*8)/((-21)/8)? -4/7 Evaluate (2/2
{ "pile_set_name": "DM Mathematics" }
(e) 80 (f) -9 c What is the biggest value in 0.377, 97/6, 4? 97/6 What is the fifth biggest value in 0, 21, 1/62, -0.3, 4? -0.3 What is the biggest value in 0.5, 0.2, 17, 2/2381? 17 What is the smallest value in 0.04862, -4, 2/11? -4 Which is the fourth smallest value? (a) -152 (b) 4 (c) -32 (d) 5 (e) -3/4 (f) -1 e Which is the smallest value? (a) 2/23 (b) -3 (c) -21/2 (d) -0.4 c What is the fourth biggest value in 1/4, -26, -7/6, 5, -4? -4 Which is the biggest value? (a) -4 (b) -0.741 (c) -63 (d) 8/7 d What is the second smallest value in -1406, -3, -1, 0.2, 5? -3 What is the second biggest value in -10/9, -1/2, -2/679? -1/2 Which is the second smallest value? (a) -0.4 (b) -109 (c) 0.6 (d) 8 a Which is the fifth biggest value? (a) 11 (b) -185/3 (c) -13 (d) -0.5 (e) 1 b Which is the biggest value? (a) 192019 (b) 0.1 (c) -0.2 a Which is the second smallest value? (a) 11 (b) 0.12 (c) -0.1 (d) 28/169 b What is the second smallest value in 83, 2, 0.5, -2/7, -12? -2/7 Which is the smallest value? (a) 2002/3 (b) 5 (c) 0.08 c What is the third smallest value in -4, -0.2, 0.27, -171.5, -1/6? -0.2 What is the fifth smallest value in -1, 18, -1/4, -2/5, 24? 24 What is the biggest value in -2/7, 4, -7, 148, -1/2? 148 Which is the third biggest value? (a) 3/2 (b) -3816 (c) 5 (d) -18/13 d What is the biggest value in 0.5, -8, -0.255, -0.1? 0.5 What is the third biggest value in 2/7, 0.3, -4, -1/4, -0.3, -1502? -1/4 Which is the biggest value? (a) -3/3094 (b) 2/9 (c) 4 (d) 3 c What is the biggest value in 0.5, 3/5, 3, -2, 4, 0.02? 4 What is the second smallest value in 0.5, -88, 0, -0.12, 3/2? -0.12 What is the fourth smallest value in 2, 6/7, 54, -5, 3? 3 Which is the third smallest value? (a) 0 (b) 2 (c) -65 (d) 6/5 (e) -6 a Which is the second smallest value? (a) -4 (b) -0.1 (c) -1/3 (d) -1970 a Which is the fifth smallest value? (a) -6 (b) -4 (c) 1 (d) 2/11 (e) 4 (f) 0.01 c Which is the biggest value? (a) -8 (b) 13 (c) -0.4 (d) 2/15 (e) 2/7 b What is the smallest value in 108, 4/3, 2/1047? 2/1047 Which is the biggest value? (a) 1/1882516 (b) -3/5 (c) -5 (d) -2 a What is the biggest value in -237.5, 0.02, -2/29? 0.02 What is the smallest value in 401, 3, -1/6, 1/6? -1/6 Which is the third biggest value? (a) 12.1 (b) 0.61 (c) 4 b Which is the smallest value? (a) 4/5 (b) -2799 (c) 6 b What is the fifth biggest value in 3, 1/6, -0.052, 0.19, 1/9? -0.052 What is the third biggest value in -0.2, 19820, -0.3? -0.3 What is the second smallest value in -28/149, 0.26, -5/6? -28/149 Which is the third smallest value? (a) 0 (b) 27 (c) 5 (d) -15 (e) -3 a Which is the second biggest value? (a) -2 (b) -1 (c) 2 (d) -15 (e) 1/6 e Which is the smallest value? (a) 0.06 (b) -1/7 (c) 4 (d) 13 b Which is the third smallest value? (a) -2/43 (b) -6/13 (c) 0.06 c What is the fourth smallest value in 4, 0.41, -7, 0.3, -2, -0.3? 0.3 What is the sixth biggest value in -2/5, -1, 0, 14.9, 3, -3? -3 What is the fourth biggest value in 2, 0, -3, 101/3, 0.1? 0 Which is the biggest value? (a) 40/21 (b) -0.5 (c) -12.6 a What is the fourth biggest value in 0.2, 7/4, 4/9, 0.16? 0.16 What is the biggest value in 11, 5, 3/5, 0.3? 11 Which is the third biggest value? (a) -1.13 (b) 4 (c) -1 (d) -1/13 (e) -0.2 e What is the third biggest value in -19, -0.23, 2/213? -19 Which is the fifth biggest value? (a) 9 (b) -8/3 (c) 0.4 (d) -4 (e) -17 e Which is the third biggest value? (a) -0.5 (b) 4 (c) 0.2 (d) -142.1 a Which is the fourth biggest value? (a) 1 (b) -1 (c) 0.5019 (d) -0.3 b What is the second biggest value in 2/11, 3, 6, -4/2537, 4/7? 3 What is the fifth biggest value in -3, 13, 3, 2/17, -2806, -0.4? -3 What is the third smallest value in -3/10, 73.4, -1/42? 73.4 Which is the third smallest value? (a) -4/3 (b) -0.3 (c) -338 (d) -1 d Which is the biggest value? (a) 6/269 (b) 1/3 (c) 4 c What is the biggest value in -0.5, 5, 181/130? 5 What is the biggest value in 8073, -0.2, -1/2? 8073 What is the third smallest value in -1/3, -6/25, 5, 49, -5? -6/25 Which is the second smallest value? (a) -22/3 (b) 0.5 (c) -0.2 (d) 1 (e) 27 c What is the third biggest value in -377, -10/11, -9/4? -377 What is the biggest value in -146.14, 0.01, 1/2, 3? 3 Which is the second biggest value? (a) -672 (b) 0.2 (c) -0.107 c What is the sixth biggest value in -1/34, -0.4, -4, -0.5, -1.2, -5? -5 Which is the third biggest value? (a) 0 (b) 0.2 (c) 45 (d) -38 a What is the third smallest value in -2/3, -0.1, -126/19, -1.8? -2/3 What is the fifth smallest value in -2/13, -3, 0.359, 22, 12? 22 What is the fifth smallest value in 0, -0.1, -60, 0.198, -1? 0.198 What is the sixth smallest value in 2/5, -1/3, 15, 0.2, 3/34, 4? 15 Which is the fifth smallest value? (a) -4 (b) 23.3 (c) 7 (d) -2/3 (e) 0.2 b What is the biggest value in 143, 3/2, -3, -736, 3? 143 Which is the biggest value? (a) 0.06 (b) 19.7 (c) 2/39 b Which is the third biggest value? (a) -1 (b) -9093/4 (c) 1/3 b Which is the second biggest value? (a) 3 (b) -4 (c) 231000 (d) -1/4 a Which is the biggest value? (a) -17342 (b) 0.06 (c) 13 c What is the fourth biggest value in -3, -2/71, 0, -14, -81? -14 Which is the smallest value? (a) 0.06 (b) 2 (c) 1590 a What is the second biggest value in -4, 0.13, 0.2, -0.205? 0.13 What is the biggest value in 0.6, 0.0521, 14? 14 What is the third biggest value in -12, -1/3, -28, -197? -28 What is the sixth biggest value in 7, -0.1, 4/3, -4, -7, 10/21? -7 Which is the fifth smallest value? (a) -2/57 (b) 4 (c) -2/5 (d) -7 (e) 0.013 b Which is the fourth smallest value? (a) -1/6 (b) -2/3 (c) 1.001 (d) 17/4 d What is the third biggest value in 1, 0.5, 4/37, 5297, -0.2? 0.5 Which is the fifth smallest value? (a) 482 (b) -1 (c) -4/3 (d) -0.3 (e) 2/7 a What is the third biggest value in 14.11, -1, 0.1, -1/6? -1/6 What is the second smallest value in 4, 0.38, -4661, -2? -2 What is the third smallest value in 1/4, 2296352, 4, 5? 5 Which is the second biggest value? (a) 1/7 (b) 2 (c) 1/6 (d) -3/5 (e) -85 c Which is the fourth smallest value? (a) 4/7 (b) -2/23 (c) 0.1 (d) 3 (e) -48 (f) -20/3 c Which is the biggest value? (a) 9/5 (b) 74 (c) 5 (d) -4 b What is the fifth biggest value in -0.2, 0.0218, -4/5, 3, 1/13? -4/5 What is the biggest value in 5, 67/3, 2/7, 0.5, -5? 67/3 What is the fifth biggest value in 0.04, 19, -0.3, -1.2, -4, -0.01? -1.2 Which is the fourth biggest value? (a) 296 (b) 5 (c) -2/7 (d) -12/7 (e) -2 d What is the third smallest value in -1/5, 5, 10/927, 1/6, 22? 1/6 Which is the fourth biggest value? (a) 2/5 (b) 11 (c) -3 (d) -9/7 (e) -5 (f) 3 d What is the third smallest value in -20, -5/4, 2, -2/31, 1, 5? -2/31 Which is the smallest value? (a) -1.4 (b) 1/4 (c) 0.0754 a Which is the fifth smallest value? (a) 0.2 (b) -3 (c) 6 (d) -5/4 (e) -5 c What is the smallest value in -1/7, -4, 0.097, -5? -5 Which is the smallest value? (a) 7 (b) -9/4 (c) -0.1 (d) -1 (e) -3.91 e What is the third biggest value in -5, 3/4, -0.5, 17705? -0.5 Which is the third biggest value? (a) 2/5 (b) 0 (c) 6/73 (d) 2/3 (e) 1 a What is the third smallest value in 0.56, -2397, -0.3? 0.56 What is the smallest value in -2, 115, -8, -4? -8 Which is the second smallest value? (a) -9 (b) 0.2 (c) -1284 a What is the biggest value in -17028, -1/4, 2, -1/7? 2 What is the third biggest value in 17/72, -5, -7, 5, -4, -2/9? -2/9 Which is the biggest value? (a) -583/3 (b) 1/9 (c) 107 c Which is the second biggest value? (a) -9 (b) 0.1 (c) 0.066 (d) -6 (e) -0.1 c Which is the second biggest value? (a) 13 (b) 0.2 (c) -9 (d) -2/15 (e) -0.5 b Which is the second smallest value? (a) -13 (b) -3 (c) 10 (d) 2/5 b What is the smallest value in -2394, 1.1, -0.4? -2394 Which is the third smallest value? (a) -6 (b) 1766/29 (c) -1/6 b Which is the third smallest value? (a) 1/5 (b) 53/14 (c) 159 c Which is the second smallest value? (a) -1/4 (b) 4 (c) 14/1185 c What is the smallest value in 32/3, -23.5, -3, 1? -23.5 What is the third biggest value in 596, 4/33, -5? -5 Which is the third smallest value? (a) 0.5 (b) -0.1025 (c)
{ "pile_set_name": "DM Mathematics" }
68337, -905639, -2146699, -4192769, -7245101? -33542*l**3 - l**2 + l + 1 What is the p'th term of 57746878, 57746877, 57746876, 57746875? -p + 57746879 What is the c'th term of -401, 21, 443, 865, 1287, 1709? 422*c - 823 What is the p'th term of 2904, 3005, 3288, 3843, 4760, 6129, 8040? 15*p**3 + p**2 - 7*p + 2895 What is the j'th term of 2056, 1450, 840, 226, -392? -2*j**2 - 600*j + 2658 What is the d'th term of -5826, 3440, 18882, 40500? 3088*d**2 + 2*d - 8916 What is the o'th term of -41440, -82810, -124096, -165256, -206248? 7*o**3 - 41419*o - 28 What is the y'th term of -11309682, -22619366, -33929050, -45238734? -11309684*y + 2 What is the w'th term of 54181, 54180, 54179, 54178? -w + 54182 What is the p'th term of -14941653, -14941666, -14941693, -14941740, -14941813, -14941918, -14942061, -14942248? -p**3 - p**2 - 3*p - 14941648 What is the w'th term of -550, -1341, -2112, -2839, -3498, -4065? 4*w**3 - 14*w**2 - 777*w + 237 What is the y'th term of 1538, 2743, 4038, 5429, 6922, 8523, 10238, 12073? y**3 + 39*y**2 + 1081*y + 417 What is the c'th term of -19307, -19411, -19589, -19841, -20167, -20567, -21041? -37*c**2 + 7*c - 19277 What is the u'th term of -69258, -138590, -207922, -277254? -69332*u + 74 What is the l'th term of 41089994, 41090001, 41090012, 41090027, 41090046, 41090069? 2*l**2 + l + 41089991 What is the r'th term of -1012791393, -1012791391, -1012791389, -1012791387, -1012791385, -1012791383? 2*r - 1012791395 What is the c'th term of -18733, -74895, -168489, -299515, -467973, -673863, -917185? -18716*c**2 - 14*c - 3 What is the b'th term of 2191855, 2191857, 2191859, 2191861? 2*b + 2191853 What is the k'th term of 221509, 885943, 1993307, 3543601? 221465*k**2 + 39*k + 5 What is the w'th term of 721569, 721558, 721543, 721524, 721501, 721474? -2*w**2 - 5*w + 721576 What is the p'th term of -716, -845, -1056, -1349, -1724, -2181? -41*p**2 - 6*p - 669 What is the q'th term of 14170, 56858, 128082, 227854, 356186, 513090, 698578, 912662? 2*q**3 + 14256*q**2 - 94*q + 6 What is the o'th term of 467079, 933429, 1399779, 1866129, 2332479, 2798829? 466350*o + 729 What is the s'th term of 50949, 50953, 50957, 50961, 50965? 4*s + 50945 What is the m'th term of 251277, 251234, 251191, 251148, 251105, 251062? -43*m + 251320 What is the d'th term of -344846075, -344846077, -344846079? -2*d - 344846073 What is the w'th term of 3540806, 3540808, 3540810, 3540812, 3540814, 3540816? 2*w + 3540804 What is the b'th term of -8639, -17859, -27075, -36287, -45495? 2*b**2 - 9226*b + 585 What is the w'th term of -41778, -41900, -42112, -42420, -42830? -w**3 - 39*w**2 + 2*w - 41740 What is the b'th term of -311781265, -311781266, -311781267, -311781268, -311781269? -b - 311781264 What is the m'th term of -224690, -898499, -2021430, -3593483, -5614658, -8084955? -224561*m**2 - 126*m - 3 What is the q'th term of -3827, -2725, -869, 1741, 5105? 377*q**2 - 29*q - 4175 What is the p'th term of 199958974, 399917944, 599876916, 799835890, 999794866? p**2 + 199958967*p + 6 What is the g'th term of 322665706, 645331414, 967997122? 322665708*g - 2 What is the c'th term of -4532, -8867, -13198, -17525, -21848, -26167? 2*c**2 - 4341*c - 193 What is the t'th term of 40990, 39507, 38024, 36541, 35058, 33575? -1483*t + 42473 What is the w'th term of 7197454, 14394952, 21592490, 28790068? 20*w**2 + 7197438*w - 4 What is the f'th term of 15682109, 31364223, 47046337, 62728451, 78410565, 94092679? 15682114*f - 5 What is the h'th term of -65671, -131387, -197163, -263023, -328991, -395091, -461347? -4*h**3 - 6*h**2 - 65670*h + 9 What is the g'th term of 145, -556, -1257, -1958, -2659? -701*g + 846 What is the j'th term of 14199, 113479, 382897, 907521, 1772419, 3062659, 4863309? 14178*j**3 + j**2 + 31*j - 11 What is the l'th term of 1423, 2697, 3813, 4693, 5259, 5433, 5137, 4293? -13*l**3 - l**2 + 1368*l + 69 What is the v'th term of -363062, -1451906, -3266648, -5807288, -9073826? -362949*v**2 + 3*v - 116 What is the s'th term of 7740, 15459, 23208, 31047, 39036? 10*s**3 - 45*s**2 + 7784*s - 9 What is the x'th term of -208, -88, 674, 2540, 5972, 11432, 19382? 77*x**3 - 141*x**2 + 4*x - 148 What is the l'th term of 443528, 1774110, 3991744, 7096430, 11088168, 15966958, 21732800? 443526*l**2 + 4*l - 2 What is the g'th term of 9162, 17698, 26234, 34770, 43306, 51842? 8536*g + 626 What is the y'th term of -52350, -105092, -158228, -211758, -265682, -320000? -197*y**2 - 52151*y - 2 What is the d'th term of -265206, -266107, -267008? -901*d - 264305 What is the d'th term of 3929, 30907, 104025, 246353, 480961, 830919, 1319297? 3845*d**3 + 63*d + 21 What is the j'th term of 575276, 1150577, 1725892, 2301227, 2876588, 3451981, 4027412? j**3 + j**2 + 575291*j - 17 What is the k'th term of -2583, -2409, -2169, -1863? 33*k**2 + 75*k - 2691 What is the a'th term of 16560, 66277, 149088, 264951, 413824, 595665, 810432? -7*a**3 + 16589*a**2 - a - 21 What is the i'th term of 77159, 77216, 77281, 77354, 77435, 77524? 4*i**2 + 45*i + 77110 What is the n'th term of -657958, -657725, -657492, -657259, -657026, -656793? 233*n - 658191 What is the v'th term of -190384, -190353, -190322? 31*v - 190415 What is the p'th term of -3213412, -3213434, -3213456, -3213478? -22*p - 3213390 What is the q'th term of 843917, 1688120, 2532323? 844203*q - 286 What is the a'th term of -3878682, -15514754, -34908214, -62059062, -96967298? -3878694*a**2 + 10*a + 2 What is the f'th term of 17861618, 35723233, 53584848? 17861615*f + 3 What is the r'th term of 105371510, 105371508, 105371506? -2*r + 105371512 What is the n'th term of -327, 9, 563, 1335, 2325? 109*n**2 + 9*n - 445 What is the f'th term of -818, -2382, -5024, -8744, -13542, -19418, -26372? -539*f**2 + 53*f - 332 What is the j'th term of 117490182, 117490172, 117490162? -10*j + 117490192 What is the j'th term of 999821, 3999312, 8998465, 15997280, 24995757? 999831*j**2 - 2*j - 8 What is the f'th term of -5594, -11237, -16920, -22643? -20*f**2 - 5583*f + 9 What is the l'th term of 8148275, 16296569, 24444863, 32593157, 40741451, 48889745? 8148294*l - 19 What is the x'th term of -7600790, -15201579, -22802368, -30403157, -38003946, -45604735? -7600789*x - 1 What is the r'th term of 1620, 1406, 1034, 504? -79*r**2 + 23*r + 1676 What is the v'th term of 222694, 222679, 222664, 222649, 222634? -15*v + 222709 What is the n'th term of 23862, 97760, 221694, 395664, 619670? 25018*n**2 - 1156*n What is the s'th term of -196723, -196742, -196795, -196900, -197075, -197338? -3*s**3 + s**2 - s - 196720 What is the w'th term of -7080, -14014, -20666, -26892, -32548? 24*w**3 - 3*w**2 - 7093*w - 8 What is the g'th term of -578674, -1157337, -1736000, -2314663, -2893326? -578663*g - 11 What is the w'th term of -94694, -189383, -284076, -378773, -473474, -568179, -662888? -2*w**2 - 94683*w - 9 What is the j'th term of 293673, 294009, 294345? 336*j + 293337 What is the p'th term of 2617, 2652, 2645, 2590, 2481, 2312? -p**3 - 15*p**2 + 87*p + 2546 What is the p'th term of -720500717, -720500718, -720500719, -720500720, -720500721? -p - 720500716 What is the y'th term of 367, 208, -1033, -3908, -8969? -92*y**3 + 11*y**2 + 452*y - 4 What is the g'th term of 45177068, 45177064, 45177060, 45177056, 45177052? -4*g + 45177072 What is the h'th term of 623111, 2492093, 5607063, 9968021, 15574967, 22427901, 30526823? 622994*h**2 + 117 What is the y'th term of -7362, -7145, -6630, -5667, -4106, -1797, 1410? 25*y**3 - y**2 + 45*y - 7431 What is the q'th term of -148538, -297076, -445604, -594122, -742630, -891128? 5*q**2 - 148553*q + 10 What is the a'th term of -9066, -18181, -27296, -36411, -45526? -9115*a + 49 What is the g'th term of 24262, 26718, 29174? 2456*g + 21806 What is the v'th term of 637440, 1274878, 1912316, 2549754, 3187192, 3824630? 637438*v + 2 What is the v'th term of -2999, -2919, -2797, -2627, -2403, -2119? v**3 + 15*v**2 + 28*v - 3043 What is the d'th term of 26822, 26831, 26836, 26837? -2*d**2 + 15*d + 26809 What is the t'th term of 1971, 8216, 19161, 35238, 56879, 84516, 118581, 159506? 72*t**3 + 1918*t**2 - 13*t - 6 What is the i'th term of -610149, -610144, -610139, -610134? 5*i - 610154 What is the j'th term of 24606, 32727, 40850, 48975, 57
{ "pile_set_name": "DM Mathematics" }
00 Round 8867.60526 to the nearest 1000. 9000 Round -0.0005340341 to six decimal places. -0.000534 What is 1996.17277 rounded to the nearest 10? 2000 Round 0.0000074479261 to 6 dps. 0.000007 What is -350464.388 rounded to the nearest 10? -350460 What is 0.01648324211 rounded to six decimal places? 0.016483 Round -170399.958 to the nearest 100000. -200000 What is -73868.363 rounded to the nearest ten thousand? -70000 Round -0.00031824538 to five decimal places. -0.00032 What is -0.443744957 rounded to 5 decimal places? -0.44374 Round -7640292.377 to the nearest one thousand. -7640000 What is -429702.7938 rounded to the nearest 10000? -430000 Round -3739528.3 to the nearest 1000. -3740000 Round 0.0117741102 to 5 decimal places. 0.01177 Round 23887944.3 to the nearest 10000. 23890000 What is -420.0079717 rounded to 2 dps? -420.01 What is -1633.3713 rounded to the nearest integer? -1633 What is -3.23853756 rounded to 4 decimal places? -3.2385 Round -381330503 to the nearest one million. -381000000 Round -229743704 to the nearest one million. -230000000 Round 0.831879296 to one decimal place. 0.8 What is 0.0024306394 rounded to two decimal places? 0 Round -0.3374963433 to 4 decimal places. -0.3375 What is -2864.936 rounded to the nearest one hundred? -2900 Round -0.00001940797753 to 6 dps. -0.000019 Round 0.1611399134 to 2 dps. 0.16 Round -0.00379084366 to 5 decimal places. -0.00379 Round -7.956927 to two decimal places. -7.96 What is -0.00648955592 rounded to three decimal places? -0.006 Round -3837.76993 to the nearest 1000. -4000 What is -0.00293935289 rounded to 6 dps? -0.002939 What is 0.00178556531 rounded to four decimal places? 0.0018 What is -1510.974 rounded to the nearest 1000? -2000 Round -0.00031372624 to 6 dps. -0.000314 Round 0.00044215403 to three decimal places. 0 Round -0.0050098895 to 5 dps. -0.00501 What is 2.37004228 rounded to 2 dps? 2.37 What is -2.19103444 rounded to 3 decimal places? -2.191 What is -1204182.28 rounded to the nearest 100000? -1200000 Round -0.0333810001 to three decimal places. -0.033 Round -0.0058459923 to three decimal places. -0.006 Round 169426.962 to the nearest one thousand. 169000 What is 333329.3212 rounded to the nearest ten? 333330 Round -0.00000451235216 to 7 decimal places. -0.0000045 Round -3338170.3 to the nearest one thousand. -3338000 What is -0.317546353 rounded to 3 decimal places? -0.318 Round 1658987518 to the nearest 1000000. 1659000000 What is 400502.3413 rounded to the nearest one hundred thousand? 400000 What is 5.72394961 rounded to three decimal places? 5.724 What is 84489.74232 rounded to the nearest one hundred? 84500 What is -381.21625 rounded to one dp? -381.2 Round 22848.3191 to the nearest ten. 22850 What is -0.000009189426 rounded to five decimal places? -0.00001 Round 85.084221 to one decimal place. 85.1 Round -916397.4 to the nearest one hundred. -916400 What is 0.000858566913 rounded to four dps? 0.0009 Round 0.004033821 to two dps. 0 What is -0.0000154213259 rounded to seven decimal places? -0.0000154 What is 329095.4795 rounded to the nearest ten? 329100 What is -136740806.04 rounded to the nearest ten thousand? -136740000 What is -4516.7373 rounded to the nearest integer? -4517 Round -4969.94306 to the nearest 10. -4970 Round 0.00002010874 to 7 dps. 0.0000201 What is 8467.783367 rounded to the nearest integer? 8468 What is -811119610 rounded to the nearest 100000? -811100000 Round 0.0000144257319 to 6 dps. 0.000014 What is 87.417199 rounded to the nearest integer? 87 What is 89394.32 rounded to the nearest one thousand? 89000 What is 206.51851 rounded to the nearest one hundred? 200 What is -27395364.16 rounded to the nearest one thousand? -27395000 What is 0.180357387 rounded to four decimal places? 0.1804 Round 3446.7728 to the nearest one hundred. 3400 Round 949.7035 to zero dps. 950 What is 1359.014294 rounded to the nearest integer? 1359 What is 6.6926057 rounded to one dp? 6.7 What is 1532.0085 rounded to the nearest one hundred? 1500 What is 0.04111321788 rounded to 4 dps? 0.0411 What is -14.438131 rounded to 1 decimal place? -14.4 Round 0.46189611 to four decimal places. 0.4619 What is 105225728 rounded to the nearest 100000? 105200000 Round 24.120487 to one dp. 24.1 What is 1215315.49 rounded to the nearest 10000? 1220000 Round 0.1069730827 to 4 decimal places. 0.107 Round 2.30442774 to three dps. 2.304 What is 57.1618611 rounded to one dp? 57.2 What is 5020859.9 rounded to the nearest 1000? 5021000 Round -2823830.3 to the nearest 10000. -2820000 What is 0.0254980191 rounded to four dps? 0.0255 Round 135.274414 to the nearest 10. 140 What is -0.093632453 rounded to 2 dps? -0.09 What is 470880.845 rounded to the nearest 1000? 471000 Round 6293.225922 to the nearest one thousand. 6000 What is 1673557.66 rounded to the nearest one thousand? 1674000 What is -664.9255639 rounded to the nearest integer? -665 Round 8280876749 to the nearest 1000000. 8281000000 What is -0.0280731796 rounded to six dps? -0.028073 What is -0.00212866 rounded to two decimal places? 0 Round 4.0013932 to three decimal places. 4.001 Round 1956222.25 to the nearest 10000. 1960000 What is 0.017288876 rounded to four dps? 0.0173 What is 651553.183 rounded to the nearest ten thousand? 650000 Round -0.000045113738 to seven dps. -0.0000451 What is 0.69220131 rounded to two decimal places? 0.69 What is -540803724 rounded to the nearest 1000000? -541000000 What is -1021041230 rounded to the nearest 1000000? -1021000000 Round -632539292.4 to the nearest one hundred thousand. -632500000 Round -0.00448818937 to six decimal places. -0.004488 Round -76536.5814 to 0 decimal places. -76537 Round -0.0000032100913 to six dps. -0.000003 Round -764255.8278 to the nearest ten thousand. -760000 Round -0.022890887 to two dps. -0.02 What is 2540.07628 rounded to the nearest one hundred? 2500 Round 9281321.9 to the nearest one thousand. 9281000 What is -0.003992249898 rounded to seven dps? -0.0039922 Round -257.280888 to the nearest 10. -260 Round -0.0333180045 to 2 decimal places. -0.03 What is -14.96236846 rounded to the nearest integer? -15 What is 50753997 rounded to the nearest 1000000? 51000000 What is -1359050.032 rounded to the nearest 1000? -1359000 Round 0.000346538399 to 6 dps. 0.000347 Round -0.00025765433 to six decimal places. -0.000258 What is 14286883.2 rounded to the nearest one million? 14000000 What is -7.45969749 rounded to three decimal places? -7.46 What is 8790623.98 rounded to the nearest 100? 8790600 Round 0.06348297262 to 3 decimal places. 0.063 What is 4838.03775 rounded to the nearest integer? 4838 What is -598.067735 rounded to 2 decimal places? -598.07 Round -0.00889935189 to 4 decimal places. -0.0089 Round -0.00000531281155 to seven dps. -0.0000053 Round 0.156754754 to five dps. 0.15675 What is -0.760424816 rounded to two dps? -0.76 Round -0.0002255379294 to 7 decimal places. -0.0002255 What is 62600986.98 rounded to the nearest one million? 63000000 What is -121401049 rounded to the nearest 100000? -121400000 Round -0.000082116208 to 7 dps. -0.0000821 What is 0.0000000096324221 rounded to 7 dps? 0 Round 0.003849105391 to three dps. 0.004 What is 0.2820528601 rounded to one dp? 0.3 What is -4258380410 rounded to the nearest one million? -4258000000 Round 241.00656 to the nearest integer. 241 Round -0.001837545 to 6 decimal places. -0.001838 What is 191.493709 rounded to 2 decimal places? 191.49 What is -0.00078139868 rounded to five decimal places? -0.00078 Round 2961909281 to the nearest 100000. 2961900000 What is -293281.033 rounded to the nearest ten thousand? -290000 What is 610.912954 rounded to one dp? 610.9 Round -47046.4338 to the nearest 100. -47000 What is -651.275373 rounded to the nearest 10? -650 What is -539088969.5 rounded to the nearest one hundred thousand? -539100000 What is 0.0501891499 rounded to four dps? 0.0502 Round -153.242405 to one decimal place. -153.2 What is -66.65683875 rounded to 3 decimal places? -66.657 Round 72.122205 to 1 decimal place. 72.1 What is 3075886200 rounded to the nearest one million? 3076000000 Round -0.0570537322 to 3 decimal places. -0.057 What is 6760.41313 rounded to the nearest integer? 6760 What is -5.817380663 rounded to the n
{ "pile_set_name": "DM Mathematics" }
nder when 231 is divided by 25? 6 What is the remainder when 361 is divided by 140? 81 Calculate the remainder when 904 is divided by 299. 7 What is the remainder when 177 is divided by 91? 86 What is the remainder when 905 is divided by 85? 55 Calculate the remainder when 250 is divided by 207. 43 What is the remainder when 2690 is divided by 49? 44 What is the remainder when 118 is divided by 60? 58 What is the remainder when 671 is divided by 25? 21 What is the remainder when 954 is divided by 869? 85 Calculate the remainder when 5 is divided by 3. 2 What is the remainder when 87 is divided by 57? 30 Calculate the remainder when 675 is divided by 59. 26 Calculate the remainder when 938 is divided by 11. 3 Calculate the remainder when 178 is divided by 45. 43 Calculate the remainder when 391 is divided by 38. 11 What is the remainder when 185 is divided by 38? 33 What is the remainder when 519 is divided by 258? 3 Calculate the remainder when 647 is divided by 35. 17 What is the remainder when 194 is divided by 162? 32 What is the remainder when 167 is divided by 69? 29 Calculate the remainder when 1078 is divided by 47. 44 What is the remainder when 369 is divided by 64? 49 What is the remainder when 117 is divided by 25? 17 Calculate the remainder when 352 is divided by 139. 74 Calculate the remainder when 58 is divided by 15. 13 Calculate the remainder when 799 is divided by 100. 99 What is the remainder when 589 is divided by 74? 71 Calculate the remainder when 67 is divided by 15. 7 Calculate the remainder when 4503 is divided by 122. 111 What is the remainder when 76 is divided by 13? 11 Calculate the remainder when 123 is divided by 63. 60 What is the remainder when 668 is divided by 12? 8 Calculate the remainder when 226 is divided by 54. 10 What is the remainder when 330 is divided by 142? 46 Calculate the remainder when 75 is divided by 39. 36 What is the remainder when 55 is divided by 29? 26 Calculate the remainder when 154 is divided by 47. 13 Calculate the remainder when 957 is divided by 60. 57 What is the remainder when 291 is divided by 49? 46 Calculate the remainder when 27266 is divided by 34. 32 Calculate the remainder when 273 is divided by 135. 3 Calculate the remainder when 669 is divided by 209. 42 Calculate the remainder when 6926 is divided by 11. 7 Calculate the remainder when 2191 is divided by 146. 1 Calculate the remainder when 1061 is divided by 12. 5 What is the remainder when 258 is divided by 7? 6 Calculate the remainder when 49 is divided by 29. 20 Calculate the remainder when 14 is divided by 3. 2 What is the remainder when 106 is divided by 27? 25 What is the remainder when 2575 is divided by 112? 111 What is the remainder when 1297 is divided by 183? 16 Calculate the remainder when 1423 is divided by 5. 3 What is the remainder when 131 is divided by 44? 43 What is the remainder when 1854 is divided by 116? 114 What is the remainder when 159 is divided by 70? 19 What is the remainder when 208 is divided by 18? 10 Calculate the remainder when 275 is divided by 85. 20 What is the remainder when 118 is divided by 42? 34 Calculate the remainder when 373 is divided by 18. 13 What is the remainder when 49 is divided by 40? 9 What is the remainder when 388 is divided by 8? 4 Calculate the remainder when 117 is divided by 30. 27 Calculate the remainder when 76 is divided by 9. 4 What is the remainder when 60 is divided by 30? 0 What is the remainder when 860 is divided by 54? 50 What is the remainder when 2519 is divided by 56? 55 What is the remainder when 140 is divided by 77? 63 What is the remainder when 214 is divided by 71? 1 What is the remainder when 91 is divided by 88? 3 What is the remainder when 6110 is divided by 90? 80 Calculate the remainder when 1989 is divided by 95. 89 What is the remainder when 404 is divided by 98? 12 What is the remainder when 3952 is divided by 657? 10 Calculate the remainder when 384 is divided by 14. 6 What is the remainder when 2431 is divided by 38? 37 Calculate the remainder when 114 is divided by 43. 28 Calculate the remainder when 53281 is divided by 14. 11 What is the remainder when 132 is divided by 30? 12 Calculate the remainder when 441 is divided by 53. 17 What is the remainder when 553 is divided by 254? 45 Calculate the remainder when 1215 is divided by 47. 40 Calculate the remainder when 1453 is divided by 32. 13 What is the remainder when 34797 is divided by 274? 273 What is the remainder when 33997 is divided by 10? 7 What is the remainder when 342 is divided by 109? 15 Calculate the remainder when 1909 is divided by 5. 4 Calculate the remainder when 414 is divided by 33. 18 Calculate the remainder when 26 is divided by 12. 2 What is the remainder when 107 is divided by 10? 7 What is the remainder when 303 is divided by 54? 33 What is the remainder when 106 is divided by 52? 2 What is the remainder when 483 is divided by 102? 75 What is the remainder when 1680 is divided by 99? 96 Calculate the remainder when 117 is divided by 24. 21 Calculate the remainder when 16277 is divided by 37. 34 What is the remainder when 14 is divided by 2? 0 What is the remainder when 297 is divided by 60? 57 Calculate the remainder when 5373 is divided by 84. 81 What is the remainder when 230 is divided by 70? 20 What is the remainder when 1148 is divided by 360? 68 Calculate the remainder when 243 is divided by 73. 24 What is the remainder when 1534 is divided by 721? 92 Calculate the remainder when 152 is divided by 8. 0 Calculate the remainder when 231 is divided by 110. 11 Calculate the remainder when 536 is divided by 108. 104 What is the remainder when 590 is divided by 17? 12 What is the remainder when 215 is divided by 23? 8 What is the remainder when 2814 is divided by 88? 86 What is the remainder when 166 is divided by 37? 18 Calculate the remainder when 586 is divided by 121. 102 Calculate the remainder when 104 is divided by 37. 30 What is the remainder when 2769 is divided by 47? 43 What is the remainder when 206 is divided by 50? 6 What is the remainder when 1766 is divided by 13? 11 Calculate the remainder when 655 is divided by 7. 4 What is the remainder when 15985 is divided by 5324? 13 Calculate the remainder when 43 is divided by 21. 1 What is the remainder when 330 is divided by 126? 78 Calculate the remainder when 638 is divided by 71. 70 What is the remainder when 885 is divided by 100? 85 What is the remainder when 4781 is divided by 104? 101 What is the remainder when 11929 is divided by 41? 39 What is the remainder when 28 is divided by 6? 4 Calculate the remainder when 157 is divided by 83. 74 What is the remainder when 1886 is divided by 315? 311 What is the remainder when 206 is divided by 109? 97 What is the remainder when 104 is divided by 93? 11 Calculate the remainder when 239 is divided by 13. 5 What is the remainder when 182 is divided by 19? 11 What is the remainder when 179 is divided by 26? 23 Calculate the remainder when 3505 is divided by 7. 5 Calculate the remainder when 115 is divided by 42. 31 Calculate the remainder when 5484 is divided by 459. 435 What is the remainder when 164 is divided by 83? 81 What is the remainder when 234 is divided by 82? 70 What is the remainder when 33 is divided by 12? 9 Calculate the remainder when 7864 is divided by 25. 14 What is the remainder when 389 is divided by 88? 37 What is the remainder when 713 is divided by 178? 1 What is the remainder when 4156 is divided by 231? 229 Calculate the remainder when 886 is divided by 6. 4 Calculate the remainder when 110 is divided by 54. 2 Calculate the remainder when 625 is divided by 308. 9 What is the remainder when 6658 is divided by 3327? 4 Calculate the remainder when 585 is divided by 300. 285 Calculate the remainder when 292 is divided by 14. 12 What is the remainder when 234 is divided by 7? 3 What is the remainder when 358 is divided by 18? 16 What is the remainder when 328 is divided by 48? 40 Calculate the remainder when 527 is divided by 16. 15 Calculate the remainder when 301 is divided by 79. 64 What is the remainder when 4597 is divided by 104? 21 What is the remainder when 786 is divided by 157? 1 What is the remainder when 285 is divided by
{ "pile_set_name": "DM Mathematics" }
+ 817*y. Let q(j) be the first derivative of -j**3/3 + 1607. What is o(q(h))? h**4 - 817*h**2 Let z(j) = 269*j - 1. Let r(v) be the third derivative of 68 - v**2 + 1/60*v**5 + 0*v + 0*v**3 + 0*v**4. What is r(z(f))? 72361*f**2 - 538*f + 1 Let q(n) = -100*n**2. Let o be (-61)/(-6 + 30/6). Let b(r) = -o*r**2 + 125*r**2 - 63*r**2. Give q(b(h)). -100*h**4 Let w(y) = -118862*y**2 - 1. Let b(g) = 6*g**2. Calculate w(b(f)). -4279032*f**4 - 1 Let g(p) be the third derivative of p**5/60 + 8*p**2. Let j(o) = 25425 + 26*o**2 - 25425. What is g(j(s))? 676*s**4 Let z(p) = 7*p**2. Let o(a) = 104 - 233*a - 129 + 234*a. What is o(z(m))? 7*m**2 - 25 Let i(o) = -9*o + 5. Let f(m) = -391396*m. Calculate i(f(h)). 3522564*h + 5 Let l(z) = -4*z. Let r(s) = 5*s. Let o(m) = 4*l(m) + 3*r(m). Let t(x) = -47*x**2 - 40*x**2 + 22*x + 92*x**2. Give t(o(c)). 5*c**2 - 22*c Let m(c) = -2 + 10*c + 2. Let l(b) be the first derivative of -b**3/3 - 15146. Give l(m(d)). -100*d**2 Let q(y) be the first derivative of 20*y**3/3 + 1170. Suppose -2*n - a + 6*a + 5 = 0, 0 = n + 5*a - 10. Let v(l) = -n*l + 2*l + 2*l. What is v(q(j))? -20*j**2 Let t(i) = i - 39. Let s(u) = 27*u**2 + 12*u + 12. Let g(p) = -50*p**2 - 22*p - 22. Let r(o) = -6*g(o) - 11*s(o). Give t(r(a)). 3*a**2 - 39 Let b(h) = 79*h**2. Let d(y) be the second derivative of 1/3*y**3 + 0*y**2 + 0 + 83*y. Calculate b(d(w)). 316*w**2 Let s(f) be the first derivative of -f**3 - 485. Let k(n) = -25*n**2. Let q(h) = -826*h**2. Let z(i) = 98*k(i) - 3*q(i). Give z(s(l)). 252*l**4 Let p(h) = 1376*h**2. Let w(o) = 49*o**2 - 15*o + 10. Let d(r) = -10*r**2 + 3*r - 2. Let y(n) = 5*d(n) + w(n). Give p(y(u)). 1376*u**4 Let r(p) = -93682325*p. Let m(s) = 7*s**2. Calculate m(r(v)). 61434646121839375*v**2 Let s(p) = 2*p**2 + 5*p. Let v(r) = -8055*r**2 + 495*r + 1485. Let z(u) = 114*u**2 - 7*u - 21. Let j(n) = 14*v(n) + 990*z(n). Determine s(j(a)). 16200*a**4 + 450*a**2 Let c(f) be the first derivative of 2*f**3/3 + 12*f - 53. Let v(u) = 6*u - 10. Let s(j) = 2*j - 3. Let w(h) = 10*s(h) - 3*v(h). Determine c(w(p)). 8*p**2 + 12 Let r be (2 - 0)*-1*10/(-4). Let s(j) = 3*j - 3*j - r*j + 3*j + 0*j. Let z(n) = 5*n**2 - 6*n**2 - 6*n**2. Give z(s(t)). -28*t**2 Let j(l) = l - 11. Let w(g) = -112*g + 5. Let s(a) = -179*a + 8. Let k(n) = 5*s(n) - 8*w(n). What is j(k(d))? d - 11 Let n(p) = -46*p**2 + 3*p - 146. Let j(c) = -2*c - 446. Calculate n(j(l)). -184*l**2 - 82070*l - 9151620 Let o(s) = -2*s**2. Let i(c) be the third derivative of 1/6*c**5 - c**2 + 0*c**4 + 0 - 4/3*c**3 - 44*c. Determine i(o(j)). 40*j**4 - 8 Let d(f) = -f**2 + 8*f. Let c = 60 - 62. Let z(i) = -i**2 - i. Let n(t) = c*z(t) - d(t). Let k(w) = 2*w. What is k(n(u))? 6*u**2 - 12*u Suppose -2*t + 0*o - o - 1 = 0, 5*o = -5*t. Let a(p) = -3*p**3 - 2*p - 1. Let c be a(t). Let n(b) = -12*b + 24*b - c*b - 7*b. Let k(v) = -30*v. Give k(n(m)). -30*m Let b(x) = 22*x - 108. Let c be b(5). Let k(n) = 0*n**2 - 2*n**c + 2*n**2 + n**2. Let p(a) be the first derivative of 27*a**2/2 - 1. Give p(k(m)). 27*m**2 Suppose -5*s = 6*s - 22. Let l(v) = 45*v**2 + 28*v**2 - 75*v**s. Let o(u) = u**2 - u**2 + 3*u**2. What is l(o(p))? -18*p**4 Let w(p) = -34132*p. Let h(t) = -115*t**2 - 120*t**2 + 365*t**2 - 132*t**2. What is w(h(l))? 68264*l**2 Let j(u) = -96*u**2. Let a(y) = 57918*y. Give a(j(o)). -5560128*o**2 Let v(y) = -4*y**2. Let p(z) = 682*z + 3. Let f(m) = -311675*m - 1370. Let d(c) = -3*f(c) - 1370*p(c). What is d(v(x))? -2740*x**2 Let k(y) = 2*y**2. Let p(n) = 2773*n + 531. Let a(i) be the second derivative of -21*i**3/2 - 6*i**2 + 102*i. Let c(d) = 177*a(d) + 4*p(d). Determine k(c(u)). 6962*u**2 Let d(h) be the first derivative of 1/2*h**2 - 25 + 0*h. Let t(n) = 4*n - 10*n - 40*n. Calculate t(d(m)). -46*m Let q(c) be the first derivative of -c**6/360 + 65*c**3 + 207. Let m(k) be the third derivative of q(k). Let p(r) = 314*r. Give p(m(s)). -314*s**2 Let y(o) = -6*o. Let z(d) = 450*d**2 - 2894*d. What is y(z(t))? -2700*t**2 + 17364*t Let q(k) = 27*k. Let t(g) be the first derivative of 18*g**2 - 236. Determine t(q(y)). 972*y Suppose 33*i - 37*i - 32 = 0. Let v(b) = 4*b - 6. Let h(d) = -11*d + 16. Let x(k) = i*v(k) - 3*h(k). Let s(y) = -36*y**2. Determine x(s(n)). -36*n**2 Let l(v) = -39*v**2 + 15*v**2 + 22*v**2. Let d(q) = 157*q - 13. Let c(f) = 79*f - 7. Let t(a) = 11*c(a) - 6*d(a). Give l(t(m)). -10658*m**2 + 292*m - 2 Let r(x) = 4*x**2. Let v(g) = 10*g**2 + 38*g - 17. Let s(o) = -4*o**2 - 14*o + 6. Let y(q) = -17*s(q) - 6*v(q). Calculate y(r(h)). 128*h**4 + 40*h**2 Let h(c) = -15812000*c**2. Let l(u) = u. Give h(l(j)). -15812000*j**2 Let p(f) = 6*f**2. Let q = -1 - -3. Let x(t) = -656*t**q + 1331*t**2 - 662*t**2. Calculate p(x(z)). 1014*z**4 Let g = 1900 - 1898. Let n(l) be the second derivative of 0*l**3 + 0*l**g + 0 + 32*l + 1/12*l**4. Let i(w) = -11*w**2. Calculate n(i(h)). 121*h**4 Let f(z) = -3*z**2. Let b(i) = 310577*i. Calculate f(b(q)). -289374218787*q**2 Let w(p) = 9*p. Let k(y) = -4*y**2 + 12863*y. Calculate w(k(m)). -36*m**2 + 115767*m Let y(p) = p. Let x(u) = -5*u**2 + 169*u + 42. Let n(d) = 14*d**2 - 508*d - 119. Let j(g) = -6*n(g) - 17*x(g). Give j(y(a)). a**2 + 175*a Let w(p) = p**2 - 91. Let d(f) be the second derivative of -f**6/180 - 3*f**3 + 51*f. Let o(k) be the second derivative of d(k). Calculate w(o(v)). 4*v**4 - 91 Suppose 4*r = -s + 3, -4*s - 5 = -r - 0*s. Suppose -4*c + 21 = -5*b, 5*b = -3*c + r + 6. Let h(v) = 0*v + 3*v - 6*v + c*v. Let m(t) = 14*t**2. What is m(h(x))? 14*x**2 Let z(v) = 2*v**2. Let b(o) = 3*o + 0 - 4 + 6 + 2 - o**2. Let p(j) = -2*j**2 + 4*j + 5. Let h(c) = 4*b(c) - 3*p(c). Calculate h(z(d)). 8*d**4 + 1 Let w(n) = -267*n. Let s(h) be the second derivative of -10*h**3/3 + 1475*h. What is w(s(a))? 5340*a Let x(m) = 15*m**2. Let u(y) be the first derivative of 85*y**2/2 - 1117. Calculate u(x(j)). 1275*j**2 Let q(d) = 999*d - 467*d - 531*d. Let o(i) = i**2 + 25*i - 16. Give o(q(b)). b**2 + 25*b - 16 Let p(l) = 5*l. Let m(u) = -4892*u + 3235*u + 2485*u. Determine p(m(q)). 4140*q Let y(c) = -c. Let f(s) be the first derivative of 88*s**3 - 863. What is f(y(w))? 264*w**2 Suppose -1 = 4*f - 21. Let m(g) = -2*g + f*g - 5*g. Let k(t) be the first derivative of -17*t**2/2 + 2. Determine m(k(i)). 34*i Let h(l) = 185*l**2. Let a(s) be the third derivative of -229*s**2 + 0*s**3 - 1/12*s**4 + 0 + 0*s. Determine h(a(o)). 740*o**2 Let v(j) = -34*j - 2. Let z(d) = -51*d + 208. Determine z(v(n)). 1734*n + 310 Let u(i) = -4*i**2. Let t(m) = -77*m - 109. Let l(y) = 29*y + 36. Let j(r) = 8*l(r) + 3*t(r). Determine j(u(g)). -4*g**2 - 39 Let s(j) = 74*j + 7. Let q = -138 + 132. Let o(f) = -70*f - 6. Let v(z) = q*o(z) - 5*s(z). Let k(x) = -3*x. Give k(v(a)). -150*a - 3 Let r(h) be the second derivative of 0*h**3 - 129*h + 0*h**2 + 69/4*h**4 + 2. Let d(a) = -2*a. Give r(d(x)). 828*x**2 Let m(v) = -15*v**2 - 163*v - 3. Let i(l) = -96*l + 1. Determine m(i(u)). -138240*u**2 + 18528*u - 181 Let o(b) = -14*b**2 + 18382 - 9225 - 9512. Let m(d) = -d**2. What is m(o(q))? -196*q**4 - 9940*q**2 - 126025 Let k(c) = -2*c. Let w(r) be the second derivative of 14*r**3/3 + 35*r**2 - 2*r - 24. Let j(n) = n + 2. Let z(x) = -105*j(x) + 3*w(x). What is z(k(a))? 42*a Let r(g) = 33620*g**2. Let j(q) = 4494*q. Give r(j(p)). 678990730320*p**2 Let b(z) = 4*z + 15. Let p(v) = 5*v + 20. Let n(d) = 4*b(d) - 3*p(d). Let j(k) = -167*k**2. What is j(n(q))? -167*q**2 Let x(y) = 2*y. Let z(g) = -g**2 - 196*g + 2279. Let f be z(11). Let t(k) be the first derivative of -25/2*k**f + 0*k + 22. Determine t(x(u)). -50*u Let c(h) = -10660*h**2 - 8*h + 171. Let i(k) = -2*k**2. Give c(i(v)). -42640*v**4 + 16*v**2 + 171 Let q(j) = -2*j**2 - 5845*j + 3. Let c(f) = -25*f. Determine q(c(w)). -1250*w**2 + 146125*w + 3 Let t(p) be the second derivative of -p**5/30 + 10*p**3/3 - 8*p. Let h(l) be the second derivative of t(l). Let q(o) = 11*o - 192 + 192. Calculate q(h(c)). -44*c Let z(w) be the first derivative of w**2 + 95. Let a(o) = -6*o + 6. Let l(q) = 16 - 5*q - 2*q - 9 + q. Let y(n) = 7*a(n) - 6*l(n). What is z(y(d))? -12*d Let r(u) be the first derivative of u**3 - 13915. Let q(h) = 23*h + 11. Determine q(r(m)). 69*m**2 + 11 Let c(p) be the third derivative of -10*p**2 + 0 - 1/24*p**4 + 0*p + 0*p**3. Let h(g) be the firs
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from auaudsiasdsaas? 1/91 What is prob of sequence aa when two letters picked without replacement from ababababbbabbb? 10/91 Calculate prob of sequence pvs when three letters picked without replacement from xspjxsvij. 1/252 Four letters picked without replacement from llgnnqlbgflq. What is prob of sequence lqfq? 1/1485 Three letters picked without replacement from {t: 1, a: 6, y: 1, f: 2, e: 7, o: 2}. What is prob of sequence ffo? 2/2907 Three letters picked without replacement from eieeieeeeieiceieee. Give prob of sequence cic. 0 What is prob of sequence qq when two letters picked without replacement from oqqoq? 3/10 Calculate prob of sequence rv when two letters picked without replacement from {y: 8, n: 3, r: 2, v: 1, z: 1, h: 1}. 1/120 What is prob of sequence yy when two letters picked without replacement from {s: 3, u: 2, y: 3}? 3/28 Two letters picked without replacement from {x: 3, b: 4, v: 1, i: 4, d: 1}. Give prob of sequence xx. 1/26 What is prob of sequence oo when two letters picked without replacement from {l: 7, o: 6}? 5/26 What is prob of sequence gim when three letters picked without replacement from limccmlgvgggcmg? 1/182 Four letters picked without replacement from jjim. Give prob of sequence mjji. 1/12 Four letters picked without replacement from {x: 3, i: 4, m: 3, j: 5, f: 1, u: 1}. Give prob of sequence uxfj. 1/3808 What is prob of sequence gqqa when four letters picked without replacement from qaaqaaqgaaaaaaa? 11/5460 Calculate prob of sequence qfa when three letters picked without replacement from acqfu. 1/60 Calculate prob of sequence fffn when four letters picked without replacement from {n: 2, f: 8}. 2/15 Calculate prob of sequence lo when two letters picked without replacement from {l: 3, j: 2, z: 1, x: 3, y: 1, o: 5}. 1/14 Calculate prob of sequence qxy when three letters picked without replacement from {k: 7, q: 8, y: 2, x: 1}. 1/306 Three letters picked without replacement from dblslmosb. Give prob of sequence lml. 1/252 Four letters picked without replacement from {b: 4, n: 10}. Give prob of sequence bnnn. 120/1001 Two letters picked without replacement from qryyqyyqxrxrxqyqrbr. Give prob of sequence rx. 5/114 What is prob of sequence rr when two letters picked without replacement from {g: 2, r: 2, m: 2, y: 1, b: 5, j: 1}? 1/78 What is prob of sequence cz when two letters picked without replacement from yycyurz? 1/42 What is prob of sequence cnc when three letters picked without replacement from nchc? 1/12 What is prob of sequence nz when two letters picked without replacement from {e: 1, n: 2, z: 1, b: 1, o: 2}? 1/21 Four letters picked without replacement from {b: 2, x: 4, k: 1, g: 4}. Give prob of sequence gxxx. 2/165 Four letters picked without replacement from {h: 7, b: 3}. What is prob of sequence hhbh? 1/8 Two letters picked without replacement from {y: 2, c: 1, j: 9, v: 1, l: 4}. What is prob of sequence vj? 9/272 Three letters picked without replacement from {i: 6, c: 3, t: 6}. What is prob of sequence iit? 6/91 Two letters picked without replacement from sxsisxxsxsisxxixi. What is prob of sequence ii? 3/68 Four letters picked without replacement from kkkkkk. Give prob of sequence kkkk. 1 What is prob of sequence uul when three letters picked without replacement from uul? 1/3 Calculate prob of sequence gg when two letters picked without replacement from ggggqggqqg. 7/15 What is prob of sequence yyc when three letters picked without replacement from syssvcysvyxsysssys? 5/1224 Calculate prob of sequence zcyz when four letters picked without replacement from yzzzzzzzzczzzz. 1/182 Two letters picked without replacement from {t: 1, a: 6, s: 9, l: 1, z: 2}. Give prob of sequence sa. 3/19 Calculate prob of sequence ull when three letters picked without replacement from llllllllullul. 5/39 Four letters picked without replacement from {x: 7, p: 3}. Give prob of sequence xppx. 1/20 Two letters picked without replacement from gagdhh. Give prob of sequence hg. 2/15 What is prob of sequence hrwh when four letters picked without replacement from {h: 3, r: 1, w: 1}? 1/20 Four letters picked without replacement from {r: 1, t: 6, s: 4}. What is prob of sequence rtts? 1/66 Four letters picked without replacement from {z: 3, u: 5, w: 3}. Give prob of sequence uuww. 1/66 What is prob of sequence dffd when four letters picked without replacement from {d: 3, f: 7}? 1/20 Three letters picked without replacement from {a: 1, m: 1, q: 1, l: 2, g: 2, n: 2}. Give prob of sequence ggl. 1/126 Two letters picked without replacement from {w: 8, a: 7, p: 2, j: 1, f: 2}. Give prob of sequence pf. 1/95 Calculate prob of sequence qq when two letters picked without replacement from {z: 1, q: 2}. 1/3 What is prob of sequence hvc when three letters picked without replacement from hhcvnhhkh? 5/504 Two letters picked without replacement from {b: 2, s: 2, m: 1, c: 1, w: 2}. What is prob of sequence bs? 1/14 Calculate prob of sequence jnn when three letters picked without replacement from {b: 1, x: 1, j: 1, t: 1, n: 3}. 1/35 Four letters picked without replacement from nnnnnnn. What is prob of sequence nnnn? 1 Four letters picked without replacement from zmxxzxxzmzmzmm. Give prob of sequence mxzz. 50/3003 What is prob of sequence xa when two letters picked without replacement from hxnja? 1/20 Calculate prob of sequence wuwu when four letters picked without replacement from {u: 5, w: 6, s: 4}. 5/273 Three letters picked without replacement from {q: 4, p: 3}. What is prob of sequence qqq? 4/35 What is prob of sequence qq when two letters picked without replacement from rgqazqg? 1/21 What is prob of sequence taas when four letters picked without replacement from aataxtsxxtxttttttaxt? 1/969 Calculate prob of sequence dxa when three letters picked without replacement from {a: 1, x: 2, b: 1, n: 1, h: 1, d: 1}. 1/105 What is prob of sequence bb when two letters picked without replacement from bbp? 1/3 Three letters picked without replacement from suubuubp. Give prob of sequence usu. 1/28 Calculate prob of sequence tzn when three letters picked without replacement from ttjdnzzs. 1/84 Two letters picked without replacement from iaua. Give prob of sequence aa. 1/6 Calculate prob of sequence tho when three letters picked without replacement from {o: 5, h: 2, c: 5, t: 3}. 1/91 What is prob of sequence vsxu when four letters picked without replacement from vvuvsxvsvuvvvxvsxs? 1/340 What is prob of sequence ex when two letters picked without replacement from {e: 2, x: 2, f: 1}? 1/5 What is prob of sequence ht when two letters picked without replacement from {n: 1, g: 2, t: 2, h: 1, d: 1}? 1/21 Two letters picked without replacement from {e: 2, k: 5}. What is prob of sequence ke? 5/21 Calculate prob of sequence qi when two letters picked without replacement from {f: 2, w: 1, o: 1, q: 1, i: 4}. 1/18 Two letters picked without replacement from ryiikfiikirciyiic. What is prob of sequence ri? 1/17 Three letters picked without replacement from {t: 8, c: 8, p: 4}. What is prob of sequence ptc? 32/855 What is prob of sequence vx when two letters picked without replacement from vvdssxsxivisvisvdodd? 1/38 Calculate prob of sequence oz when two letters picked without replacement from {d: 1, z: 1, o: 6, y: 2, n: 2}. 1/22 Calculate prob of sequence ggf when three letters picked without replacement from fffgfngfff. 7/360 Four letters picked without replacement from {x: 11, c: 2}. Give prob of sequence xxcc. 1/78 What is prob of sequence pf when two letters picked without replacement from {f: 2, v: 2, u: 1, p: 2, i: 1, a: 1}? 1/18 Calculate prob of sequence ui when two letters picked without replacement from {a: 1, i: 1, u: 1}. 1/6 What is prob of sequence fqfq when four letters picked without replacement from ggfgggfqq? 1/756 Calculate prob of sequence dhh when three letters picked without replacement from {h: 10, d: 2}. 3/22 Four letters picked without replacement from huhhhhhhhhhuhhhhuh. Give prob of sequence uhuu. 1/816 What is prob of sequence zv when two letters picked without replacement from hbhzv? 1/20 What is prob of sequence btxt when four letters picked without replacement from eettbegtgeteebeextb? 5/7752 What is prob of
{ "pile_set_name": "DM Mathematics" }
nator of o and 3/22. 220 Let j(l) = -l + 18. Let b be j(6). Suppose b = 3*v - 12. Calculate the smallest common multiple of 2 and v. 8 Let c = -135/2 + 65. Let u(o) = -2*o**2 + 3*o - 3. Let q be u(3). What is the common denominator of ((-110)/q)/((-4)/6) and c? 4 Let l be 4/6*-3 - 19. Find the common denominator of (-6)/27 - (-209)/36 and (l/24)/(1/28). 12 Let v(q) = 5*q**2 - 3 + 3 - 1. Let s be v(1). Suppose 2*n + s - 18 = 0. What is the least common multiple of 7 and n? 7 Suppose -3*t = 2*u + 2*u - 30, 0 = 3*t - 2*u - 48. What is the least common multiple of t and 6? 42 Find the common denominator of ((-3)/(-27))/(4/492) and -101/10. 30 Let q be 4/(-14) + 18/14. Find the common denominator of (q/2)/(1/85) and 107/14. 14 Let b = 3 - 5. Find the common denominator of (69/(-18))/(2/8) and (-24)/(-27) + b/(-6). 9 Suppose -y + 5*y = 8. Let j = 808/7 + -2081/21. What is the common denominator of j and 1 - (y - 171/21)? 21 Suppose 41 - 151 = -5*s. What is the least common multiple of 8/2 + 5 + -3 and s? 66 Let w be (-1)/(1/(-2))*2. Suppose -v + 4*z = -32, 0*z + w*z + 8 = -v. Suppose 3*b - v = b. Calculate the smallest common multiple of b and 6. 6 Let x(v) = 4*v + 1. Calculate the smallest common multiple of 1 and x(2). 9 Suppose -6*b + 14 = b. Calculate the least common multiple of 7 and b. 14 What is the least common multiple of 3 and (138/(-12))/(3/(-6))? 69 Let p(t) be the first derivative of t**4/4 + 8*t**3/3 + 3*t**2 - 3*t - 2. Let z be p(-7). Suppose z*o = -o + 30. Calculate the least common multiple of o and 2. 6 Let h(j) = j**3 + 9*j**2 + 10*j - 8. Let k be h(-8). Find the common denominator of 61/2 and ((-54)/21)/(k/(-18)). 14 Let z(m) = m + 2. Calculate the smallest common multiple of 2 and z(2). 4 Let c(h) = 5*h - 2. Let o(x) = x**3 - 7*x**2 + 3*x - 5. Calculate the smallest common multiple of c(4) and o(7). 144 Let n = 4/17 + -25/34. What is the common denominator of (126/(-11))/2 + 3 and n? 22 Suppose -4*a + 20 = -0*a. Let v = -3 + a. Calculate the common denominator of -6 - -7 - (-51)/v and 99/10. 10 Let j = 239 - 3819/16. Suppose 2*t - 35 = -5. Find the common denominator of (-87)/t - 1/(-2) and j. 80 Let f = -15 - -12. Calculate the common denominator of f*((-182)/108 + 2) and 19/12. 36 Let v = 314/3 + -361/3. Let t(n) = n - 3. Let f be t(6). Calculate the common denominator of (-2)/3 - (-7)/f and v. 3 Suppose 0 = -3*z + 11 + 7. Let s = -199 + 208. Calculate the lowest common multiple of s and z. 18 Let k be ((-4)/3)/(14/105). Let u be 6/(-15) + (-34)/k. Suppose -24 = -u*z - 6. Calculate the least common multiple of 16 and z. 48 Let c = 1557/1232 + 57/112. Find the common denominator of c and -69/10. 110 Let y = 10997/40 + -1354/5. What is the common denominator of 11/7 and y? 56 Let g be 4/(-8)*(3 + -1). Calculate the common denominator of 143/12 and g - (1442/40)/7. 60 Suppose -r + 30 = -0*r. Let g be 28/((r/(-9))/(-5)). Suppose 0 = -i - 2*i + g. Calculate the lowest common multiple of i and 20. 140 Calculate the common denominator of 1 - 9/6*-25 and (1/(-2))/(1/(-5)). 2 Let k = 2679 - 10419/4. Let h = -984839/468 - -79120/39. Let r = h + k. Calculate the common denominator of -79/4 and r. 36 Let r = -10845/4 - -2744. Let q = -1083/28 + r. What is the common denominator of 3/22 and q? 154 Let p(f) = -f - 15. Let i be p(-7). Let m be (6/i)/(1/(-16)). Suppose m = 4*c, -3*l + 0*c + 45 = 3*c. What is the lowest common multiple of 20 and l? 60 Let p = -2395 - -47883/20. Let d = 1703 + 10192. Let s = d + -166611/14. Find the common denominator of s and p. 140 Let s = 7344/5 + -1478. Find the common denominator of s and 0. 5 Let y be (-4503)/(-6768) - (-2)/(-3). Let d = y - -6299/752. What is the common denominator of -3 - -6*12/80 and d? 40 Calculate the common denominator of 73/8 and (4 - (-100)/(-72)) + 0. 72 Let r be 1/(-3) + (-12)/(-9). Calculate the common denominator of -99/10 and (r/6*-121)/(-1). 30 Suppose 0 = -2*g - 4 + 2. Find the common denominator of (-6)/21*18*g and 326/(-63) + (-2)/(-7). 63 Let u(q) = q**2 + 4*q - 1 + 1 + 2 - 4. Let x be u(-5). Calculate the smallest common multiple of (4/x)/(4/24) and 8. 8 Suppose -p + 2*c + 34 = 0, 0 = -5*p + c + 11 + 141. What is the least common multiple of 51 and p? 510 Let r = 50479/10 - 5060. Let j = 1603/76 - 168/19. Find the common denominator of j and r. 20 Let v be 0 + 0 + (-1 - -2). Let z(r) = 411*r**3 + 2*r**2 - 1. Let y be z(v). Calculate the common denominator of -99/10 and (y/30)/(8/(-5)). 60 Let p = 44 + -33. Calculate the lowest common multiple of p and 5. 55 Let c = 17/64 + -717/832. What is the common denominator of -33/2 and c? 52 Let t be 5/(-2)*(-1044)/(-51). Let l = t + 19769/374. Calculate the common denominator of (-9)/(-15)*(-29)/4 and l. 220 Let v(y) = y - 21. Let i be v(11). Let j = -9 - i. Suppose -6 - 19 = -5*o. What is the smallest common multiple of j and o? 5 Let c(d) = 6*d**3 + 11*d**2 + 2*d - 2. Let n(g) = g**3 + g**2. Let f(a) = c(a) - 5*n(a). Calculate the smallest common multiple of f(-2) and 3. 30 Let q(j) = 2*j - 3. Let i be q(3). Suppose 3*v - i*r - 39 = 0, 5*r + 8 = -2. Suppose -y + 3 = -5. Calculate the lowest common multiple of y and v. 88 Let f = -17896 - -6316. Let g = -139097/12 - f. Find the common denominator of -19/20 and g. 60 Let a = -226991919 - -4484225369054/19755. Let l = -2/3951 - a. What is the common denominator of 57/4 and l? 60 Let m = -6 + 28. Suppose m = -2*x + 3*x. What is the least common multiple of x and 12? 132 What is the common denominator of 79/10 and (-58)/(-8)*(90/(-24))/(-5)? 80 Let j = 17 - -5. Suppose 3*z - z - j = 0. Calculate the smallest common multiple of 2 and z. 22 Suppose 2*g = 4 + 16. What is the lowest common multiple of 6 and g? 30 Let p = -23/27 + 1631/108. What is the common denominator of -3/11 and p? 44 Let j(z) = -3*z**2 - 3*z + 2. Suppose 0 = 2*d + 3*d - 40. What is the smallest common multiple of j(0) and d? 8 Let g = -70 - -90. Calculate the lowest common multiple of 40 and g. 40 Let x = -13723/60 - -1164/5. What is the common denominator of x and 74/9? 36 Let a(n) = -10 + 5 - 5*n - n**2 + 1. Let f be a(-3). Suppose f*m - 5 = -3*m. What is the smallest common multiple of m and 3? 3 Suppose 4*z - 36 = -j, -4*z - 3*j + 0*j + 28 = 0. Let c = -6 + z. Let x(a) = -4*a - 3. Calculate the least common multiple of x(-3) and c. 36 Suppose 7 = 2*u - 7. Let i(a) = -a**2 + 9*a + 6. What is the lowest common multiple of (-4)/(16/(-9))*8 and i(u)? 180 Let k be (-1 - -3) + (-440)/155. Let y = k - -1013/62. What is the common denominator of y and 145/6? 6 Let z = -2068 + 39553/19. Let n = z + -2125/228. Find the common denominator of n and 77/10. 60 Let p = 3944/5 + -785. Let m(t) = -t**3 + 5*t**2 + 7*t - 9. Let l be m(6). Calculate the common denominator of p and -1 - ((-26)/l - -2). 15 Suppose 0 = 8*x - 6*x - 150. Find the common denominator of -81/10 and -1 + (-5)/(x/(-183)). 10 Let c(w) = -w**3 - 7*w**2 - 10*w - 8. Let n be (-1)/((-1)/(-3 + -3)). Calculate the lowest common multiple of 2 and c(n). 16 Let d be (0 - 1)/((-1)/(-865)). Let y = -3425/4 - d. Let l = -5465 + 109337/20. Find the common denominator of l and y. 20 Let n = -118043/330 + 5294/15. Let a = 394/3 + -8695/66. What is the common denominator of n and a? 22 Suppose 0*g + 112 = 8*g. Calculate the least common multiple of 22 and g. 154 Suppose -4*u + 15*u - 154 = 0. Calculate the lowest common multiple of 4 and u. 28 Let f = -296255/16 - -47159609/2544. Let z = -33/106 + f. Find the common denominator of 2/9 and z. 9 Calculate the lowest common multiple of 6 and ((-11)/4)/(7/(-28)). 66 Suppose 3*v + 0 = 9. Let l = 5 - v. Calculate the common denominator of (-33)/(-5) - (l - 1) and -29/10. 10 Suppose -17 = b + 6*z - z, -4*z - 52 = -4*b. Calculate the smallest common multiple of 10 and b. 40 Calculate the lowest common multiple of (-8)/(-6) - (120/(-18) + 6) and 22. 22 Let w(r) = r**3 - 4*r**2 + 5*r. Let k be w(5). Suppose 2*l - k = -3*o, -34 = -2*o - 0*o - 2*l. What is the smallest common multiple of o and 4? 16 Suppose t - 2*a - 2*a = 11, -5*t + 25 = -5*a. Calculate the smallest common multiple of 5 and t. 15 Let y be (5/4)/(1/4). Suppose -q - y = -13. Suppose -q = 2*o - 20. Calculate the lowest common multiple of o and 8. 24 Let l = 18 + -
{ "pile_set_name": "DM Mathematics" }
15. Let i(n) = -3*n**2 + 2*n + 4. Let s(v) = -v**2 + v + 1. Calculate g*s(w) - i(w). -w**2 + 2*w Let l(c) = c - 1. Suppose 0 = -h - 3*h - 8. Let v be 4 - (24/4 + -3). Let o(u) = 0*u - 3 + 3*u - 2*u. What is h*l(p) + v*o(p)? -p - 1 Let x = -9 - -14. Let c(u) = -1. Let a(q) = -q**3 + q**2 - 2*q - 5. Let f(v) = v**2 - v - 7. Let n be f(-2). What is n*a(y) + x*c(y)? y**3 - y**2 + 2*y Suppose 4*g - 2 = 26. Let i(s) = 6*s**2 + 7*s - 2. Let a(l) = -l + 8*l - 2 - 2*l + l + 5*l**2. What is g*a(c) - 6*i(c)? -c**2 - 2 Let z(t) be the third derivative of -t**5/60 + t**4/24 - 10*t**2. Let k(c) = -3*c**2 + 2*c + 1. Calculate 2*k(x) - 5*z(x). -x**2 - x + 2 Let p(t) = 8 - t + 0*t - 9. Let n(i) = 7*i + 3. Determine n(r) + 5*p(r). 2*r - 2 Let s(z) = z**2 + 6*z + 3. Let v(l) = -3*l - 11. Let w be v(-5). Let x(q) = -q**2 - q - 1. Determine w*x(a) + s(a). -3*a**2 + 2*a - 1 Let a(s) = 3*s**2 - 2*s + 2. Suppose -6 = 3*q - 0*q. Let z(o) = 10*o**2 - 7*o + 7. Calculate q*z(f) + 7*a(f). f**2 Let i(f) = -9*f**2 - 17*f + 9. Let p(b) = 2*b**2 + 4*b - 2. Give -6*i(k) - 26*p(k). 2*k**2 - 2*k - 2 Let l(q) = 52*q**2 + 8*q - 8. Let y(p) = 17*p**2 + 3*p - 3. Calculate 3*l(w) - 8*y(w). 20*w**2 Let x(j) be the second derivative of -2*j**3/3 + j**2/2 - 39*j. Let v = 17 + -26. Let s(c) = 17*c - 4. What is v*x(g) - 2*s(g)? 2*g - 1 Let z(f) = -1189*f**2 - 145*f - 145. Let j(h) = 33*h**2 + 4*h + 4. Determine 145*j(s) + 4*z(s). 29*s**2 Let j = 15 + -13. Let t be j*(-2 + (-2)/4). Let o(v) = -3*v + 5. Let s(a) = 3*a - 6. Calculate t*s(m) - 6*o(m). 3*m Let x(c) = 6*c - 3. Let i(g) = -11*g + 6. Calculate 2*i(a) + 5*x(a). 8*a - 3 Let n(c) = 6*c + 12 + 7*c**2 - 9 + 3. Let t(g) = 14*g - 6*g**2 + 11 - 3*g + 19*g**2. Give -11*n(o) + 6*t(o). o**2 Let x(h) = -2*h**2 - 10*h - 8. Let j(l) = -2*l**2 - 10*l - 7. Give -6*j(w) + 5*x(w). 2*w**2 + 10*w + 2 Let k(o) = -8*o - 21. Let f(z) = -7*z - 19. What is -7*f(w) + 6*k(w)? w + 7 Let b(s) = 28*s**2 + 6*s - 5. Let m(t) = 29*t**2 + 7*t - 6. Determine 6*b(u) - 5*m(u). 23*u**2 + u Let h(k) = -1. Let v(o) = -12*o - 12*o + 1 + 23*o. Determine -4*h(c) - 4*v(c). 4*c Let r(f) = f**2 + f - 3. Let g(i) = -1. Suppose m - 24 = 5*m. Determine m*g(d) + 2*r(d). 2*d**2 + 2*d Let g(o) = -9*o**2 + 5. Let t(j) = -j**2 - 11*j + 31. Let s be t(-13). Let n(m) = -28*m**2 + 16. Give s*n(a) - 16*g(a). 4*a**2 Let n(t) = -t - 1. Let y(r) = 16*r**3 - 3*r**2 - 4*r - 2. Calculate 2*n(m) - y(m). -16*m**3 + 3*m**2 + 2*m Let u(a) = 5*a + 2. Suppose -q - 4 = q. Let m(v) = -11*v - 5. What is q*m(o) - 5*u(o)? -3*o Let l(p) = 4*p**2 + 5. Let u(s) = 5*s**2 + 5*s + 17. Let k(c) = -7*c**2 - 8*c - 26. Let g(d) = 5*k(d) + 8*u(d). Suppose 4 + 6 = -2*o. Calculate o*g(h) + 6*l(h). -h**2 Let q(c) = 9*c**3 - 7*c**2 - 9*c + 7. Let d(r) be the first derivative of -4*r**2 + 0 + 2*r**4 + 6*r + 0 - 2*r**3 - 4. Determine 7*d(i) - 6*q(i). 2*i**3 - 2*i Let s(h) = -6*h**2 - 2*h + 5. Let f(t) = 10 - 1 - 13*t**2 + 2*t**2 - 3*t. What is -4*f(o) + 7*s(o)? 2*o**2 - 2*o - 1 Let h(d) = -112*d + 63. Let m(z) = -7*z + 4. Give -4*h(n) + 63*m(n). 7*n Suppose 2*s = s - 4*i + 21, 4*s - 24 = -i. Let a(d) = -s*d + 2*d + 1 - 4*d**2 - 2 - 2. Let r(t) = -3*t**2 - 2*t - 2. Determine -2*a(u) + 3*r(u). -u**2 Let v(l) = -10*l**2 + 24*l**3 - 14 + 3*l - 2*l + 13*l. Let x = 19 + -17. Let k(d) = -3*d + x*d**2 - 5*d**3 - 2 + 12 - 7. Determine -14*k(w) - 3*v(w). -2*w**3 + 2*w**2 Let n(q) = q + 2. Let s be n(-5). Let i(y) = 4*y**3 - 7*y - 7. Let j(c) = 0*c**3 - 4*c**3 + 2*c**3 + 3 + 3*c. Give s*i(l) - 7*j(l). 2*l**3 Suppose -2*z = -2 - 6. Let h(n) = 8*n**3 + 11*n**2 + 11*n - 6. Let s(q) = 3*q**3 + 4*q**2 + 4*q - 2. Determine z*h(r) - 11*s(r). -r**3 - 2 Let u(j) = -j. Let r(l) = -l - 1. Let n be 2/4 - 24/(-16). Suppose 3*a - 1 = n*a. Determine a*r(o) + u(o). -2*o - 1 Let j(a) = -2*a**2 - 4*a + 2. Let k(s) = -2*s**2 - 5*s + 2. Suppose 5*n + 27 = 2. What is n*j(l) + 4*k(l)? 2*l**2 - 2 Let t(n) = -5*n + 5. Let k(x) = -x**2 - 6*x + 6. Determine -3*k(b) + 4*t(b). 3*b**2 - 2*b + 2 Let s(l) = -11*l**3 + 3*l**2 - 3*l. Let d(m) = 12*m**3 - 2*m**2 + 2*m. Calculate 3*d(t) + 2*s(t). 14*t**3 Let h(j) = -4*j + 4. Suppose 5*z - 4*q = 4*z + 3, 0 = -3*q. Let d(a) = -4*a + 5. Let y(t) = z*d(t) - 2*h(t). Let n(r) = 7*r - 13. Determine -6*n(b) - 11*y(b). 2*b + 1 Let l(i) = 2*i**3 - 3*i**2 - 5*i + 1. Let t(r) = -r**2 - r. Determine l(w) - 5*t(w). 2*w**3 + 2*w**2 + 1 Let k(z) = -9*z**2 - 9*z - 9. Let w(n) = n**2 - n - 1. Determine 4*k(a) - 36*w(a). -72*a**2 Let w(d) = -2*d**2 - 2*d + 2. Suppose -15 + 5 = -5*t. Let b = t + 7. Let m(g) = 8*g**2 + 9*g - 9. Calculate b*w(i) + 2*m(i). -2*i**2 Let t(g) = -8*g - 5. Let n(d) = -7*d - 4. Give -4*n(o) + 3*t(o). 4*o + 1 Let s(l) = 9*l**2 + 2*l - 9. Let t(n) = -4*n**2 - n + 5. Determine -4*s(b) - 7*t(b). -8*b**2 - b + 1 Let x(l) = 2*l + 3 - 2 - 12*l**3 + l**2 - l + 13*l**3. Let f(j) = -4*j**3 - 7*j**2 - 8*j - 7. Calculate -2*f(r) - 14*x(r). -6*r**3 + 2*r Let b(a) = -3. Let t be 2 - 3/(12/40). Let x = t + 6. Let v(n) = -n - 7. Calculate x*v(d) + 5*b(d). 2*d - 1 Let r(z) = -z**3 - 4*z**2 - 3*z + 2. Let o(g) = 2*g**3 + 9*g**2 + 6*g - 4. Let y(d) = 4*o(d) + 9*r(d). Let s(k) = 4*k**3 + 14*k - 10. Give -3*s(w) - 14*y(w). 2*w**3 + 2 Let q(b) = -6*b**3 - 3*b**2 + 3*b + 3. Let g(u) = u**3 - u - 1. Let j(i) = 5*i**3 + i**2 - 5*i - 5. Let k(l) = -4*g(l) + j(l). Give -3*k(x) - q(x). 3*x**3 Let u(t) = -t**2 - 2*t. Let o be (-3 - 12/(-2)) + -3. Suppose o = -5*n - 0 - 10. Let q(v) = 6*v**2 + 11*v - 1. Give n*q(c) - 11*u(c). -c**2 + 2 Let b(n) = -2*n + 1 - 6 - 3*n**2 + 7*n. Let v(s) = -6*s + s**2 + 7*s - 1 + 0*s**2. Let h(r) = -6*r + 6. Let z(l) = h(l) + 2*v(l). Calculate 4*b(f) + 5*z(f). -2*f**2 Let o(c) = 3*c - 2. Let y(j) = 17*j - 13*j + 3 - 9*j. What is -8*o(x) - 5*y(x)? x + 1 Suppose -3*g = -6, -4*g + g - 27 = -3*y. Let f = y + -7. Let v(p) = -13*p**2 + 9*p. Let d(h) = -6*h**2 + 4*h. What is f*v(k) - 9*d(k)? 2*k**2 Suppose 0 = -u - 4*u + 110. Suppose -z = -2*z - u. Let p(b) be the second derivative of 7*b**3/6 - 4*b. Let y(s) = -2*s. Calculate z*y(o) - 6*p(o). 2*o Let g(x) = -x - 5. Let d(n) = -1. Suppose -5*p + 4 = -7*p. Suppose 0 = q + 4*q + 45. Let o be (3/q)/(p/(-6)). What is o*g(h) + 5*d(h)? h Let q(u) be the third derivative of u**4/6 - 11*u**3/6 - 2*u**2 + 12. Let i be 1*2*7/2. Let j(k) = -2*k + 6. Give i*j(m) + 4*q(m). 2*m - 2 Let a(t) = -1 - t - 4*t**3 + 0 - 2 - 3*t**2 + 6*t. Let o(w) = 3*w**3 + 2*w**2 - 4*w + 2. Determine -2*a(i) - 3*o(i). -i**3 + 2*i Suppose 0 = k + 2*k - 18. Let z(l) = -14 + 23 - 4*l - 9. Let q(b) = 3*b. Give k*q(s) + 4*z(s). 2*s Let t(c) = -10*c - 11. Let g(l) = -5*l - 6. Give -5*g(v) + 3*t(v). -5*v - 3 Let i = 7 + -5. Let x(j) be the first derivative of 2 + j + i*j - 3*j - j. Let q(o) = o + 6. Determine q(y) + 5*x(y). y + 1 Let p(h) = h**2 - h + 1. Let t(a) = -a**2 + 3*a + 3. Let q be t(4). Let f(w) = -7*w**2 + 6*w - 6. Give q*f(o) - 6*p(o). o**2 Let o(g) = 7*g**2 - 5*g. Let k = -11 - -3. Let j(f) = 442*f + 5*f**2 - 450*f + 6*f**2. What is k*o(t) + 5*j(t)? -t**2 Suppose 115*w - 119*w = 20. Let d(u) = 0*u - 6 + u + u. Let y(j) = -2 + 4 - 1 + 0. What is w*y(l) - d(l)? -2*l + 1 Let x be 8/5 + (-4)/(-10). Let z(g) = -g + 1. Let s = 1 - -3. Let p(v) = 4 - s - 5 + 4*v. Give x*p(u) + 10*z(u). -2*u Let j(d) = -3*d + 5. Let o(i) = -i + 1. Let b(w) = w + 10. Let m be b(-5). Give m*o(y) - j(y). -2*y Let j(v) = 4*v - 2. Let f be (-7 - 26)*(-2)/(-3). Let n(z) = 21*z - 11. What is f*j(r) + 4*n(r)? -4*r Let v(k) = 35*k**3 - 30*k**2 - 30*k + 30. Let m be 1/(-6)*-7 + (-3)/18. Let j(x) = x**3 - x**2 - x + 1. Give m*v(q) - 30*j(q). 5*q**3 Let m(x) = x + 1. Let a(i) = -i**2 - 4*i. Let f be (6/4)/(75/(-100)). Determine f*m(j) - a(j). j**2 + 2*j - 2 Let a(l) = -12*l - 2. Let i(n) = -37*n - 7. Determine -7*a(y) + 2*i(y). 10*y Let i(m) = -m**3 + 4*m - 3. Let o(b) be the third derivative of b**6/120 - b**4/24 + b**3/6 - 6*b**2. Give -i(v) - 2*o(v). -v**3 - 2*v + 1 Let z(h) = -11*h**3 + 5*h**2 + 5*h + 5. Let k(c) = -6*c**3 + 3*c**2 + 3*c + 3. Suppose -5*m + 5*s - 2*s - 3 = 0, -m - 7 = s. Give m*z(y) + 5*k(y). 3*y**3 Let t(d) = 145*d**2 - 25*d - 25. Let z(f) = -12*f**2 + 2*f + 2. What is 4*t(s) + 50*z(s)? -20*s**2 Let o(q) = 7*q**2 - q - 4. Let c(z) = 6*z**2 - z - 3. Give 6*c(j) - 5*o(j). j**2 - j + 2 Let o(h) = 5*h**3 - 2.
{ "pile_set_name": "DM Mathematics" }
-29 = 4*i + d, 2*i = 6*i + 2*d + 34. Let m = i + 2. Is -5 less than m? True Let v be (-4)/18 - (-48)/216. Which is greater: v or 6/11? 6/11 Let p be 2 + -4 + 5 - 6. Which is smaller: p or -4? -4 Let c = 0.1 + -1.4. Let j = c - -0.3. Let s = j - 0. Which is smaller: s or 2? s Let v be (-56)/154 + 8/22. Let j be ((-1)/(-1))/((-2)/8). Is j bigger than v? False Let n = -2 - 2. Let u = -72 + 506/7. Is u less than or equal to n? False Let c = -0.18 + 0.06. Let p = -75/44 - -16/11. Is c < p? False Let k = -4 + 8. Suppose 4*y = 20, -k*y + 18 = -0*x - 2*x. Which is smaller: 1/2 or x? 1/2 Suppose 15 = -5*w, -5*a + 5*w = 23 + 2. Let u = -9 - a. Is u != -3? True Let u(q) = q**3 - 3*q**2 - 4*q + 2. Let j be u(4). Let k be 119/11 - 22/(-121). Suppose t + 10 = 5*z - 7, -k = -5*t + z. Which is bigger: t or j? t Let c = 13 + -8. Let b be (-2)/(-1)*c/2. Let s = 5 - b. Which is smaller: s or -1/2? -1/2 Let f = -1.695 - -13.625. Let j = f + -12. Which is greater: j or 0.1? 0.1 Let x = 6 - 6. Suppose x = c - 5*c. Which is smaller: -1 or c? -1 Let w = 123/4 + -1597/52. Is w > 1? False Let u be ((-3)/(-8))/(3/(-2)). Suppose -5*p + 5*t = -9 - 1, 0 = 3*p - 2*t - 5. Which is smaller: u or p? u Suppose -4*d - 3*f + 0 = -2, 0 = 2*d - f - 6. Is d at most 5? True Let s(a) = -a**2 - 4*a + 8. Let q be s(-6). Let i(v) = v**2 - 7*v - 5. Let n be i(7). Do q and n have the same value? False Let j = -8 - -11. Suppose 0*m - 7 = -j*u + 2*m, -3*u + 13 = -5*m. Let f(a) = 5*a**2 - 2*a + 1. Let h be f(u). Is h smaller than 4? False Let k(w) = 4*w - 36. Let a be k(11). Which is greater: a or 6? a Let b(n) = n**2 - 2*n - 1. Let t be b(0). Which is smaller: t or 3/56? t Suppose 2*v = -0*v + 20. Let l = -1 + -3. Let x be ((-3)/v)/((-3)/l). Which is greater: x or -1? x Suppose -3*t + 2 = -c, -4*c + 13 + 14 = -5*t. Which is smaller: c or 14? c Let r(o) = o**3 - 4. Let t be r(2). Is 3 bigger than t? False Let s = -5 - -7. Suppose p - 5*p + 2*f = -16, s*p = -4*f - 2. Let c be 1 + (p - (1 - -1)). Are c and 2 unequal? False Let p be (1/(-18))/((-1)/4). Suppose -3 = -5*y - 58. Let h = y + 10. Which is smaller: h or p? h Let x = 200 - 190.1. Let u = -10 + x. Let v = 1 + 1. Which is bigger: v or u? v Let z be (44/16)/11 + (-258)/8. Which is bigger: -29 or z? -29 Let i be (-2*(-9)/(-30))/(-3). Suppose -10*q + 8 = -2. Does i = q? False Suppose -3*j - 65 = -3*d - 20, j + 4*d + 15 = 0. Let n = j + 10. Is -4 not equal to n? True Let w(u) = -u + 5. Let f be w(6). Let g = -57 - -55. Are f and g equal? False Suppose 0 = 5*y + 15 - 5. Are y and -4 nonequal? True Suppose 3*k - 38 = 4*q, -5 = -2*q + 3*k - 27. Which is smaller: q or -7? q Let l = 2 - 2. Let k be (-1)/(-1) - l/2. Are 1 and k equal? True Let k = 0 + 9. Let y(j) = -2*j + 13. Let q be y(k). Let m = q - -3. Which is smaller: -0.2 or m? m Let o = 0 - 0.1. Let t = 75/22 - -1/11. Which is bigger: t or o? t Let l = 0 - 3. Let c = l + 3.2. Is 0 greater than c? False Let w = 13.8 + 1.2. Let t = w + -14. Are t and -2/5 equal? False Let d = -20.9 + 0.1. Let y = 23 + d. Let f = 0.2 - y. Which is greater: -2/7 or f? -2/7 Suppose 4 = -2*p + 6*p. Suppose 0 = 5*u + 2*n - 20, u - 4*n + 18 = -0*u. Suppose u*o = o. Which is smaller: p or o? o Let r = 162 + -91. Is 70 not equal to r? True Suppose -2*s + 6*s + 5*a = 17, a + 5 = -5*s. Let j(z) = 9*z. Let c(f) = -17*f. Let r(p) = 6*c(p) + 11*j(p). Let k be r(1). Which is bigger: s or k? s Let u(h) = -h - 27. Let b be u(-17). Which is greater: b or -9? -9 Let d = -1 + 0. Suppose 3*b - 2*b + 10 = -2*w, 4*w + 12 = 2*b. Is d smaller than b? False Let z be -21 - 0/(4 + 0). Which is smaller: z or -20? z Let c = 15 + -13. Which is bigger: -2/3 or c? c Let w = -98 - -98.1. Which is smaller: w or -6/11? -6/11 Let o be 18/(-14) + 18/63. Let p = -2.8 + 3. Which is bigger: p or o? p Let h be (-2 - -1)/(1/6). Let u = h - -7. Suppose -u = 4*c + 3. Is c <= -1? True Let l = -5 + -2. Let n be (-48)/70 + (-2)/l. Is n >= -1? True Let c = -9 - -11. Suppose -3*a + 2*a - c = 0. Which is bigger: a or 0? 0 Let m(d) = 2*d - 6. Let n be m(-6). Suppose 0 = -4*r + r - 6, -2*r = -4*q - 44. Let p = q - n. Do 7 and p have the same value? False Let v be 32/(-24)*6/4. Let t be (((-24)/(-44))/v)/(-3). Suppose 2*d - 3*g - 8 = 0, -2*g = -2*d - 4*g - 2. Is d less than or equal to t? False Let r = -5 - 0. Let a be 1/2 + r/(-2). Let v = 4 - a. Which is smaller: v or 1/5? 1/5 Let w = 3 - 5. Let r = -2/41 + -37/82. Is w greater than or equal to r? False Let k(g) = -g**3 + g**2 - g + 7. Let w be k(0). Suppose -3 + w = q. Suppose 0 = -2*i - 2, -3*a - 4*i + 0*i - q = 0. Which is greater: -2/5 or a? a Let d = -48662014/14411397 - -2/187161. Let g = 23/7 + d. Which is greater: -1 or g? g Let p = 16 + -12. Suppose -4 = -p*a + 5*o, 0 = -a + 2*a + 2*o - 1. Which is bigger: -0.05 or a? a Let g = 28 - 17. Which is smaller: 12 or g? g Let f be 1/((-27)/6) - (-760)/3528. Is 1 not equal to f? True Let w(c) = c**2 + 2*c - 1. Let m be w(0). Is m at most as big as 1/21? True Let w = 21 - 20.74. Let x = w - -0.04. Let v = x + -0.5. Is v != -1/3? True Let i = 47 + -421/9. Let l(f) = f**2 + 6*f + 6. Let j be l(-5). Which is greater: j or i? j Let r be 6/(-24)*(-26)/(-15). Let q = r - -1/10. Which is smaller: q or -0.2? q Let x = 20 + -28. Let z be (x/12)/1*-6. Is z bigger than 7? False Let r be (-29601)/63 - (0 + 1). Let p = 472 + r. Which is greater: p or 1? p Suppose -5*j - 7 = -12. Suppose -2 = -h - 0. Is j smaller than h? True Suppose -3*b + 9 + 3 = 0, 4*b = -3*c + 22. Which is smaller: c or 36/11? c Suppose 8*f - 3 = 11*f. Let g be (0 - (-8)/(-22)) + 0. Which is smaller: f or g? f Let s(j) = j**3 + 7*j**2 + 6*j + 1. Let l be s(-6). Let x = 291/5 + -58. Which is smaller: x or l? x Let c be 3/(-5)*(-4 + -1). Suppose 9 = -3*y + c. Let v be (-1)/y + (-15)/25. Which is greater: v or -1? v Suppose -3*t + 16 = -d, 0*d + 3*t = 2*d + 17. Let v = -5 - d. Let m = -16 - -11. Do m and v have the same value? False Let a = 11 + -16. Do a and -5 have the same value? True Let y = 12/19 + -103/133. Let n(q) = -2*q**3 - q**2. Let o be n(-1). Is o at most as big as y? False Let p(y) = -2*y. Let x be p(-3). Let i be (9/x)/((-78)/(-8)). Let u be (-3 + 2)*(-2)/(-2). Which is greater: i or u? i Suppose 0 = 5*q - 6*q - 2. Which is bigger: -2/3 or q? -2/3 Suppose -3*g + 62 + 127 = 0. Let j be (6 + -3)*(-2)/g. Which is greater: -1 or j? j Suppose -3*s + 9 = 2*n, -n = 2*n - 4*s + 29. Which is smaller: -2 or n? n Let n = 17349/10 + -1737. Is -2 bigger than n? True Let i = -0.05 + -0.15. Let a(u) = -u**3 - 5*u**2 + 6*u - 1. Let s be a(-6). Are i and s equal? False Let d(n) = -2*n. Let w be d(-2). Let v = -3 + 3. Suppose v = -a + w - 7. Which is smaller: -2 or a? a Suppose 12*k = 7*k - 120. Is k bigger than 0.1? False Let f = -2461/39350 - -2/787. Is -1 at most as big as f? True Let l = 0.7 - 0.7. Let a = -0.8 - l. Which is smaller: a or 2/3? a Let g = -447/14 - -32. Which is smaller: -1 or g? -1 Suppose 5*o = 45 - 10. Is o greater than or equal to 9? False Let k = -0.0734 + -0.9266. Let z = 0.12 + -0.29. Is z not equal to k? True Let b = 4/3 + -14/9. Do 0.1 and b have different values? True Suppose -18 = -0*o + 3*o. Let h(q) = -q - 8. Let x be h(o). Is -2 equal to x? True Suppose -n = -6*n. Suppose n = -10*q + 8*q. Suppose 3*t + 1 = 2*t - 3*j, -2*t - 5*j - 2 = 0. Which is bigger: t or q? q Let u = -5 - -3. Let n = 2.98 + 0.02. Let h = n - 2.9. Is u smaller than h? True Let c be -1 + (2 - (-10)/(-6)). Suppose -s = -6*s. Is c less than or equal to s? True Let b = 1 - -13. Let u be (4 - 48/b) + 0. Is 0 greater than or equal to u? False Let h = -2.3 + 4.3. Which is smaller: h or 0.27? 0.27 Let r be (-5)/15*0 + -4. Let o(g) = g. Let z be (-5)/(-10) - (-22)/(-4). Let k be o(z). Which is bigger: r or k? r Suppose 5*m = 10 + 5. Suppose 12 = m*a + a. Suppose 0 = a*v + v. Which is smaller: v or -2/15? -2/15 Let s(u) = -2*u**2 + 7*u - 4. Let k be s(3). Which is smaller: -2/7 or k? k Let i = 293/1551 + -1/141. Let w = -4.2 - -5.2. Is w at most as big as i? False Suppose -3*t + 0*t = -5*h - 25, 4*t - 68 = -2*h. Let d = t - 59/4. Which is greater: 0.9 or d? 0.9 Suppose 6*l = 3 + 3. Which is greater: 3 or l? 3 Let w(q) = q**3 + 7*q**2 + 5*q - 7. Let r be w(-6). Let f(t) = -t**3 - 4*t**2 + 2*t + 2. Let z be f(2)
{ "pile_set_name": "DM Mathematics" }
of k? 7 Let h(z) = -z**3 - 22*z**2 - 20*z + 12. Let d be h(-21). What is the units digit of d/6*(-264)/11? 6 Let f(a) = 2*a + 2. Let l be 1*16*(-3)/(-6). Let m be f(l). Let n = 4 + m. What is the tens digit of n? 2 Let o = -3 + 6. Suppose -o*u + 12 + 15 = 0. Suppose u*l = 4*l + 5. What is the units digit of l? 1 Suppose -7*d + 264 = -11*d. Let r = d - -133. What is the units digit of r? 7 Let d(g) be the first derivative of -g**4/4 - 19*g**3/3 - 17*g**2/2 + 22*g + 8. What is the units digit of d(-18)? 4 Suppose -24*n + 22*n - 10 = 0. What is the hundreds digit of (3516/30)/(-2)*n? 2 Let i(j) = -j**3 - 34*j**2 - 9*j - 161. What is the hundreds digit of i(-34)? 1 Suppose -26 = -5*a - 16. What is the tens digit of (1/a*2)/((-4)/(-208))? 5 Suppose -5*s + 14 - 4 = 0. Suppose 2*t + 11 = w + 5*t, -2*t - 22 = -s*w. Suppose 4*p - w - 5 = 0. What is the units digit of p? 4 Suppose 4*t = -t - 10. Let p(y) = y**3 + 8*y**2 + 14*y + 11. Let l be p(-5). What is the units digit of ((-2)/t)/(2/l)? 8 Let d = 18 + -13. Suppose -5*m + 90 = d*j - 185, -285 = -5*m - 3*j. What is the tens digit of m? 6 Let i(b) = -2*b**2 - 8*b + 1. Let w be i(-6). Let f(v) = -v**2 - 26*v - 33. What is the units digit of f(w)? 6 What is the units digit of (-9054)/(-11) - 4 - 2/22? 9 Let x be (-2 + -3)*14/(-35). Suppose -57 = -2*d - d + 5*t, d - 30 = -x*t. What is the tens digit of d? 2 Let m be 0 + 0 - 1 - -4. Let b be (6/(-18))/(m/(-27)). Suppose x = -t + 6, -b*t + 2 + 1 = -2*x. What is the units digit of x? 3 Suppose -2*a + 1720 = 2*n, -4*a + 3*n = 1007 - 4426. What is the units digit of a? 7 Suppose 6 = -71*i + 73*i. Suppose -i*f + 350 = 4*f. What is the units digit of f? 0 Suppose 2*r - 84*i - 4471 = -85*i, 0 = 5*i + 25. What is the hundreds digit of r? 2 Let l be (4 - -1)*14/(-7). Let j = 13 + l. Suppose 5*z - 24 = -j*t + 29, -5*t = z - 15. What is the units digit of z? 0 Let k be (1 + 2252/8)*36/15. Suppose 0*r + k = 4*q + 2*r, 2*q = r + 345. What is the units digit of q? 1 Let g(n) = n**3 - n + 1. Let d(s) = 9*s**3 + 2*s**2 - 3*s - 3. Let p(x) = -d(x) + 2*g(x). What is the hundreds digit of p(-3)? 1 Let g(l) = -l + 4*l + 0*l + 14*l + 1. Let f be g(18). Suppose 0 = -5*s + 2*s - 4*w + 193, -3*w = 5*s - f. What is the units digit of s? 9 Suppose -2*r = 2*x - r - 430, -1076 = -5*x - 3*r. Let i = x + -49. What is the units digit of i? 5 Suppose 0 = 6*l - 1126 - 650. What is the tens digit of 21/(-147) - l/(-14)? 2 Suppose f = -3*f + 1684. Suppose -8*v + f = 165. What is the tens digit of v? 3 Let j = 3506 + -2469. What is the tens digit of j? 3 Let c(u) = -7*u**3 - 4*u**2 + 7*u + 2. What is the hundreds digit of c(-3)? 1 Let r = 15 - 12. Suppose -r*n - n + 8 = 0. Suppose 0 = -3*b - 4*j + 22, 6*b + 5*j - 29 = n*b. What is the units digit of b? 6 Let l(n) = n**3 - 10*n**2 - 9*n - 11. Let g be l(11). Let p(o) = g*o - 9 - 4 + 14. What is the tens digit of p(2)? 2 Suppose 3*c - f - 5 = 0, -5*f + 9*f = c + 2. Suppose 66 = c*t - 18. What is the tens digit of t? 4 Suppose -n + 1 = -2. Suppose -p - n*t + 80 = -47, -5*t + 655 = 5*p. What is the tens digit of p? 3 Suppose 0 = -26*g + 22*g + 4192. What is the hundreds digit of g? 0 Let x(h) = 5*h. Suppose -95 = -2*m - 3*m. Suppose -m - 9 = -2*v. What is the units digit of x(v)? 0 Let m = 78 + -73. Suppose -449 = -3*h - m*g, h + g - 4*g - 145 = 0. What is the units digit of h? 8 Let t be ((-5)/2 + 3)/(2/8). Suppose 2*r - 2*n - 96 = n, -r - 3*n = -48. Suppose 0 = -2*f - t*m + 32, 0*m = -4*f + 4*m + r. What is the tens digit of f? 1 Suppose 708 = 4*t - 2*t + 4*g, -5*t + 1770 = g. What is the tens digit of t? 5 Suppose 220 = 12*q - 11*q. What is the hundreds digit of ((-3)/((-42)/q))/((-8)/(-56))? 1 What is the units digit of (-2)/(-4)*490720/80? 7 Let v = -7 - -7. What is the tens digit of (30 - v) + -4 + 3? 2 Let s be ((-6)/(-9))/((-10)/195). Let j(z) = 2*z**2 + 15*z - 3. What is the hundreds digit of j(s)? 1 Suppose 0 - 5 = -4*q - 3*u, -5*q + 2*u - 11 = 0. What is the units digit of 43 - q*(1 + 0)? 4 Suppose -14*z - 155 = -19*z. Let k = z + 140. What is the units digit of k? 1 Let i = -776 + 4301. What is the units digit of i? 5 Suppose 0 = 4*h - 8*h - 252. Let g = h - -681. What is the units digit of g/21 - 15/35? 9 Let x(a) = -37*a**2 - 6*a - 16. Let c(k) = 12*k**2 + 2*k + 5. Let i(j) = -8*c(j) - 3*x(j). What is the hundreds digit of i(-3)? 1 Let l(c) = c**2 + 4*c + 3. Let o be l(-2). Let j be 3/6*22 + o. What is the units digit of -3 + 5/(j/24)? 9 Let i = 470 - 203. Suppose 15*a + i = 16*a. What is the units digit of a? 7 Let h(o) be the first derivative of o**4/4 - 14*o**3/3 - o**2/2 + 19*o - 3. Let q be h(14). Suppose 3*c - q = 40. What is the tens digit of c? 1 Suppose 6*a + 1211 = 3*f + a, f - 417 = -5*a. What is the hundreds digit of f? 4 Suppose 3*w - 1491 = -3*c, 2*c + 3*w - 596 = 400. What is the units digit of c? 5 Let w(o) = 11*o**3 + 2*o**2 + 15*o - 56. What is the hundreds digit of w(6)? 4 Suppose -3*y - 1605 = -5*i, 5*i + 2*y - 2124 = -494. What is the hundreds digit of i? 3 Suppose -5*b = -4*b. Let z be (-7 - -12)*(1 - b). Suppose 0 = 6*y - z*y - 27. What is the units digit of y? 7 Let c be (2/6)/((-3)/(-666)). Suppose -3*x - 140 = -b, -3*b - c = -4*x - 504. What is the units digit of b? 6 What is the hundreds digit of -60*(1 + (-2992)/55)? 2 Let i be (30/40)/((-3)/(-8)). Suppose 0 = i*o - 162 - 68. What is the tens digit of o? 1 Let x be 4/(-24) + (-7)/(-6). Suppose 0 = h - 6 - x. Suppose -h*p + 2*p = -200. What is the tens digit of p? 4 Suppose -7*z = -3*z - 8. Suppose 0*l = -z*l + 106. What is the tens digit of l? 5 Let w = 90 - 559. Let y = 731 + w. What is the tens digit of y? 6 What is the tens digit of ((-1)/(-2))/((-16)/322112*-14)? 1 Let h = -468 - -3743. What is the hundreds digit of h? 2 Suppose 3*n - 8578 = -4*w, -86*w - n + 4290 = -84*w. What is the hundreds digit of w? 1 Suppose -5*m + m = -3720. What is the tens digit of m? 3 Let x be 190/25 - (-6)/(-10). Suppose t - 29 + x = 0. Suppose -z + t = 8. What is the tens digit of z? 1 What is the tens digit of (6/1)/((-16)/(-1112))? 1 Suppose c - 16 = -3*c. Suppose -c*u = -0*u + 80. What is the tens digit of (170/u)/((-2)/4)? 1 Let p(t) = -6*t + 2*t**2 - 62 + 54 + 2*t - 10*t. Let y be p(7). Let w(a) = -a**3 - 6*a**2 + 7*a - 6. What is the units digit of w(y)? 6 What is the hundreds digit of (-241 - -1)/((-3)/28)? 2 Suppose k - 4*y = 2*k - 430, -k + 448 = -5*y. What is the tens digit of k? 3 What is the units digit of 1 - 8 - 211*-3? 6 Suppose 0*o + 5*o = 0, 0 = -3*p - 2*o + 12. What is the units digit of (74/p)/(5/30)? 1 Let v(r) = -r**2 - 7*r. Suppose 0 = -4*y - 0*y - 4. Let b(q) = -5*q**2 + q. Let g be b(y). What is the units digit of v(g)? 6 Suppose -5*l + 5 = 0, -3*l = -4*s - 22 + 7. Let k be s/(-6 - -3)*5. Suppose k*h + 10 = 40. What is the units digit of h? 6 Let p be (-4)/6 - (-444)/18. Suppose -2*q - p = -6*q. What is the units digit of ((-264)/18)/((-4)/q)? 2 Let r be 3 + (-84)/30 - 58/(-10). Suppose z - 4 = r. What is the tens digit of z? 1 Let t = 328 + -173. Suppose t + 445 = 5*c. What is the tens digit of c? 2 Suppose 3*p - 3*c = 8*p - 7825, c + 3141 = 2*p. Suppose -10*f = -18*f + p. What is the tens digit of f? 9 Let b(o) = -o**3 + 5*o**2 + o - 1. Suppose z + 11 = -r + 4*z, 2*z = 6. Let n be r/11 - 105/(-33). What is the units digit of b(n)? 0 What is the tens digit of (-2 - -627) + (-42)/6? 1 Let p(y) = -2*y. Suppose -n + 55 = 5*m + 4*n, 3*m - 5*n - 9 = 0. Suppose -2*k = -5*h - 12, -h - m = k - 0. What is the units digit of p(h)? 8 Let j = 712 - 500. What is the tens digit of j? 1 Let d(s) = 23*s**2 + 61*s + 398. What is the thousands digit of d(-17)? 6 Suppose -m + 5 = 0, -i - 4*m = 4*i - 65. Let w be i/21 + (-22)/(-14). Suppose 5*v + w*v = 98. What is the units digit of v? 4 What is the tens digit of (-8)/(-20)*5*(-178)/(-4)? 8 Let f(u) = 31*u - 66. What is the tens digit of f(9)? 1 Let s be (0 - -3)/(-5 + 6). Suppose -4*i = -s*i + 9. Let l = -5 - i. What is the units digit of l? 4 Suppose 65*v - 57*v - 16456 = 0. What is the thousands digit of v? 2 Let u(j) = 4*j**2 - 7*j + 4 - 5*j**2 + 2*j**2 + 5. Let v be u(6). Suppose -2*a = v*a - 60. What is the units digit of a? 2 Let f = 9 - 6. Suppose f*q = q + 6. Suppose 2*j + 0*j = 2*u - 54, -q*u - 2*j
{ "pile_set_name": "DM Mathematics" }
to s? (a) 1/2 (b) n (c) 1 a Let l = -0.8 - -0.7. Let r = -2 - 0. Let u = r - -1.9. Which is the nearest to u? (a) -0.3 (b) l (c) -4 b Let y = -0.24 - -4.24. Which is the closest to -2/3? (a) y (b) 2/5 (c) 3/2 b Let s = -26.8 + 27. Which is the nearest to -2? (a) 3/5 (b) s (c) 1 b Let z be 2/6 + (-180)/54. What is the nearest to -2 in z, 4, -4? z Let v = 7 + -6.4. Let a = 4.4 + v. What is the nearest to 2/3 in a, -5, -2/21? -2/21 Suppose 3*u - 4*o - 21 = 0, 2*u - 3 = 2*o + 9. Which is the nearest to -1/3? (a) 0.2 (b) u (c) 0.1 c Let r = -2077/7 + 297. Let j = -5/12 - -23/36. Let b be (2/(-6))/(2 - 1). What is the closest to r in b, 3/2, j? j Let v = 4.046 - 4. What is the nearest to -1 in v, 5, 0.4? v Suppose 2 + 0 = 2*s. Which is the closest to s? (a) 0 (b) 1/3 (c) 1 c Let b be 3/2*4/(-6). What is the nearest to b in 0.3, -0.2, 5? -0.2 Let x = 9.5 - 9. Let o = -3.5 - x. Let n be ((-2)/12)/((-1)/(-4)). Which is the nearest to n? (a) 3 (b) -1 (c) o b Let d = 0.3 + -0.3. Let w = 14 - 14.03. What is the nearest to d in 0.1, w, -0.2? w Suppose -2*m - m = 3*v + 18, -2*v = 3*m + 17. Let z(q) = -q - 4. Let y = 8 - 11. Let x be z(y). Which is the closest to v? (a) x (b) 0.3 (c) 0.2 a Suppose 4*v + 8 = x, 0 = 3*x - 0*v - 4*v - 16. Suppose 0*i + x = i. Which is the nearest to -2? (a) -2 (b) -0.2 (c) i a Let f = 0.1 - -0.4. Let k = -0.5 - -2.5. What is the closest to 0 in -0.2, f, k? -0.2 Let c = -199 - -204. What is the nearest to 14 in c, -3/2, -1/2? c Let y be (-6)/(-3)*-1*2. Which is the nearest to -1/3? (a) 3 (b) -0.1 (c) y b Let f = 233/900 - 2/225. What is the closest to f in -3, -0.3, -2/5? -0.3 Let t = 0 + 0.2. Let p = 0.1 - 0.6. What is the nearest to -1/2 in t, p, 0? p Suppose p = -3*q, 2*q = -3*q. Let y = 823/5 - 164. What is the nearest to p in -4/5, -0.3, y? -0.3 Let m = -433/8 + 54. Which is the nearest to m? (a) -2/5 (b) 2/7 (c) 3 a Let v = 6 + -8. Which is the nearest to 1? (a) -4 (b) v (c) 4/7 c Let o(b) = -b**3 + 5*b**2 + 3*b - 12. Let f be o(5). What is the closest to 1 in f, 0.4, 2/13? 0.4 Let k = -0.03 - -0.43. Let u = -791 + 795. Let l be 1/(-4) + 13/4. Which is the closest to l? (a) k (b) 1 (c) u c Suppose -4 = -j + 3*s, 0*s + 3*s = -9. Let r = -6 + 5.7. Let m = r - -0.4. What is the closest to m in 4, j, -3/5? -3/5 Let b be (-16)/15 - (-24)/60. What is the nearest to b in 2, 4, 0.5? 0.5 Let v = 0.5 + -0.39. Let g = -1.11 + v. What is the closest to -0.1 in g, 0, -2/3? 0 Let h = -15/4 - -97/28. Let v = 204.3 - 192. Let i = 12 - v. Which is the closest to -1? (a) 4 (b) h (c) i c Let m = 15 + -15.24. Let l = m + 0.34. Which is the closest to 2/7? (a) l (b) 0 (c) -2 a Let t = 13/14 - 1/2. What is the nearest to -0.2 in t, 2, -0.3? -0.3 Let k = -157/88 - -21/11. Let d be 1 - (-1 - 0 - -3). Suppose 4*t - 2 - 2 = 0. Which is the closest to t? (a) k (b) d (c) 3/2 c Let h = 6 - 4. Suppose 0*y + i = 2*y, -i = 2*y. Let t be -2 - y - (h + -2). Which is the closest to 0? (a) -2/7 (b) 3 (c) t a Let y be (-2)/(-10) - (1 + 0). Let h be ((-9)/30)/((-12)/(-5)). Which is the closest to 1/2? (a) 3 (b) y (c) h c Let g = -1.044 - -0.044. Let z = 14 - 26. Let j = 17 + z. What is the closest to g in j, 0.2, -0.1? -0.1 Let k = -54 - -164/3. Let u be (-2)/(-4)*(-18)/(-21). What is the nearest to 1 in k, 1/2, u? k Let i = 0 + -1. Let p be 5/33 + (-2)/6. Which is the closest to i? (a) 2 (b) -5 (c) p c Let a be (-2)/(1/(-5)*-2). Let v = -4 - a. What is the closest to -1 in 2/3, -3/5, v? -3/5 Let z = 0 - -4. Let x = 21.9 + -22. What is the closest to -1 in 5, x, z? x Let t = 0.3 + -0.2. Let g = -13 + 16. Let r = 0.01 - -1.99. What is the nearest to t in r, -3, g? r Let p = 2.2 + 0.8. What is the closest to -3 in -1, 5, p? -1 Let d = -3 + 2. Let z = 0.03 - 2.03. Let u = 2 + z. What is the nearest to -2/9 in d, u, -3? u Let u be ((-3)/(-36))/(1*(-5)/15). What is the nearest to 0.5 in -0.3, u, -5? u Let c = -4.1 - -3.9. What is the nearest to -1 in c, 0.5, 1? c Let p = 12 + -4. Suppose -4*a = -3*u + 27, p*u + 5*a = 3*u + 10. What is the closest to 0.1 in -1/3, 0.3, u? 0.3 Let m = 0.04 - 0.05. Let l = m + 1.01. Let i = 0.35 + 0.05. What is the closest to l in i, 3, -0.2? i Let i = 0.08 - -0.22. Let d = -0.7 - -0.7. Let r be ((-3)/(-4))/(-1 - 0). What is the nearest to d in 0.5, i, r? i Let u = -0.06 - 0.94. Which is the nearest to 2? (a) 1 (b) -0.5 (c) u a Let q = -101/156 - 1/52. Let j(d) = -14*d**2 - d. Let i be j(1). Let l = i - -44/3. Which is the nearest to l? (a) -2/9 (b) q (c) -2/5 c Let u = -158 - -159.6. Which is the nearest to 0.2? (a) u (b) -1/2 (c) 1/3 c Let h = -1245/11 - -113. Which is the closest to -1/2? (a) 2 (b) h (c) 4 b Suppose f = h + 1 - 3, -3*h + 34 = 4*f. Let u = h - 5. Which is the closest to u? (a) -4 (b) 2/3 (c) 4 b Let u = -3 - -2. Let v = -2887/4 + 722. Which is the closest to u? (a) 2 (b) v (c) 0 c Let m be 1/2 - (-1)/(-2). Suppose -4*d + d + 6 = m. Let z be 1/d*(-4)/(-7). Which is the closest to -0.1? (a) -0.5 (b) 0.4 (c) z c Let g be (0 - 6/27)*-3. Suppose r = 3*i - 0*r - 1, -i = -r - 1. Let w = 1/73 + -153/511. What is the closest to i in -5, w, g? w Let n = -7 + 4. Let z be (-1)/(-5) - 64/20. Let q = n - z. What is the closest to 0 in 4, 2/3, q? q Let x(y) = -y**2 + 5*y. Let p be x(4). Let f = -9/2 + p. Which is the closest to f? (a) 0 (b) 1 (c) -1/5 c Let u be 7/30 + 6/(-15). Which is the closest to 0.1? (a) -0.4 (b) -4 (c) u c Let h = 0.1 + -0.3. Let w = -462.7 - -463. Which is the closest to h? (a) -0.1 (b) w (c) -2/5 a Suppose -n = -4*t + 15, 2*n - 3*t = 2*t - 15. Let l = -2.9 + 3. What is the nearest to l in 0, 1, n? 0 Let s = -115/13 - -9. Let a = 0 + 0.1. Let m be (-4)/(-18) - 4/9. What is the closest to 0.2 in a, s, m? s Let r = 0.02 + 1.58. Let x = -1.6 + r. Which is the closest to 0? (a) -0.1 (b) x (c) 2 b Let z = -0.28 - -0.38. Let h = -0.3 - -0.5. Let x = -95 - -856/9. What is the closest to z in h, x, 3? x Let q = -0.3 + -0.7. Let t = -7.8 + 2.8. Let o be 2/(-4)*(9 - 1). What is the nearest to q in o, t, 5? o Suppose -2*r = -3*x + 8 - 1, -5*x = 3*r - 37. Let b be (r/21)/(2/(-3)). Let q = -6 - -5.6. What is the closest to b in 0.2, q, -5? q Let s = 0 + 1. Let a = -1.6 - -1.6. What is the nearest to s in a, 0.4, -5? 0.4 Let b = 9.8 + -5.2. Let w = -5 + b. Let u = 2.05 - 0.05. What is the nearest to u in -1/2, w, 1? 1 Suppose 4 = -5*n + 19. Let g(f) = f + 6. Let s(m) = m**2 + 8*m - 8. Let p be s(-8). Let z be g(p). Which is the nearest to z? (a) n (b) 5 (c) 0 c Let t = -0.1 - 1.9. Let r = 1.6 + -0.6. Let l = r - 0. What is the nearest to 2/7 in t, l, -2/7? -2/7 Let l = -46/255 + 4/85. Let c = 33.5 + -34. What is the closest to -0.1 in l, -2/5, c? l Let t = 0.7 + 2.3. Suppose -603 + 45 = -3*x. Let j = -1676/9 + x. What is the closest to j in 5, 0.4, t? 0.4 Let g = -0.2 + 0.1. Let y be 0/((-1)/(-1) + -2). What is the nearest to g in y, 2/7, 2/15? y Let g be (-12)/15 + -1 + 6/3. Which is the closest to 0.2? (a) g (b) 1/3 (c) -5/3 a Let y = 4 - 3.98. Let f = -1.98 - y. Let n be (-3 - -4)/((-2)/6). Which is the nearest to -2/5? (a) 5 (b) f (c) n b Let m = -9 - -11. What is the closest to 2/5 in -0.4, m, 3/2? -0.4 Suppose -2*g + 5 = 1, -z - 3*g + 7 = 0. Let w = 1/5 + 3/10. Which is the nearest to z? (a) -4 (b) 4 (c) w c Let x = 6.429 - 0.129. Let c = -6 + x. Suppose -2 + 5 = 3*t. What is the closest to -0.2 in t, c, -4/5? c Let f = -9.1 + 8.3. Which is the closest to -1? (a) -3 (b) 3 (c) f c Let d = 5 + 186. Suppose -3*l + 59 = d. Let u be 0 + 0 + 8/l. Which is the nearest to 0.1? (a) -1 (b) 0.5 (c) u c Let j = 0 - -1. Let x = -6 - -2. Which is the nearest to j? (a) x (b) 2/5 (c) -1/5 b Let j = 0.09 + -0.29. Let r be (-2)/7 + 4/63. Which is the nearest to r? (a) j (b) 1/6 (c) 0.2 a Let k = -11 - -8. Let t = 40 - 202/5. Let h = -136 + 267/2. Which is the closest to 1/4? (a) h (b) k (c) t c Let o = -5 + 5.1. Let g = 3 + -6. What is the closest to o in 4, g, -5? g Let a be ((-118)/(-8))/(2/(-4)). Let n = a + 417/14. What is the nearest to -1 in 1/3, -3/4, n? -3/4 Let p = -0.04 - -0.04. Let m be (-1)/(-2) - 17/10. Which is the nearest to -0.1? (a) -1/6 (b) p (c) m a Let d = -0.46 + -0.04. Which is the neares
{ "pile_set_name": "DM Mathematics" }
375 a factor of 252685290? False Is 43 a factor of 4869441647? True Does 457 divide 3626076? False Is 355 a factor of 7143764? False Does 24 divide 111644538? False Is 3975506 a multiple of 2? True Is 14140774 a multiple of 31? True Is 320 a factor of 22095680? True Does 133 divide 501877873? False Is 9119832 a multiple of 289? False Does 105 divide 1000956600? True Is 6 a factor of 99162534? True Does 185 divide 35663175? False Does 4 divide 253555288? True Is 2649 a factor of 638387808? True Does 40 divide 1101390190? False Is 46342339 a multiple of 232? False Is 23762556 a multiple of 18? True Is 84 a factor of 16640748? False Does 363 divide 106753218? True Is 980 a factor of 342052705? False Is 101896487 a multiple of 77? True Is 456766053 a multiple of 3? True Is 3014322894 a multiple of 9? True Does 13 divide 30049236? False Does 22 divide 238276368? True Is 8 a factor of 308384776? True Is 48 a factor of 89789136? True Does 37 divide 207793887? True Does 91 divide 1818855038? True Does 4763 divide 1226075399? False Is 80347779 a multiple of 3? True Does 94 divide 434648668? True Is 40 a factor of 136843200? True Is 31 a factor of 81539424? True Is 11 a factor of 4123089? False Is 10 a factor of 42994830? True Is 61568799 a multiple of 139? True Does 4 divide 42817475? False Is 11 a factor of 342767013? False Does 3 divide 188971030? False Does 6 divide 2107444? False Is 83486730 a multiple of 132? False Does 760 divide 176162680? True Does 36 divide 6599736? True Is 19 a factor of 1430801? False Is 546998138 a multiple of 36? False Is 41902471 a multiple of 396? False Is 1776194214 a multiple of 48? False Is 66 a factor of 335864562? True Does 12 divide 24252060? True Is 11 a factor of 617760? True Is 1693211364 a multiple of 26? True Is 1159611789 a multiple of 21? True Does 2098 divide 828597873? False Is 456729196 a multiple of 2597? True Does 472 divide 394499488? True Is 3104550385 a multiple of 143? False Is 992 a factor of 39078014? False Is 21 a factor of 129696233? False Is 613 a factor of 66616124? False Is 22 a factor of 297224224? True Does 268 divide 1005799179? False Is 2 a factor of 21809845? False Is 206482185 a multiple of 1365? True Does 1564 divide 393959088? True Is 23 a factor of 235322402? False Does 9 divide 11248029? True Does 1752 divide 29132256? True Is 6900 a factor of 155857200? True Does 418 divide 231339291? False Does 21 divide 448866863? False Does 6983 divide 858486988? False Is 130080461 a multiple of 17? False Is 18 a factor of 7752493098? True Is 410094896 a multiple of 8? True Is 4 a factor of 12829828? True Is 7241404 a multiple of 566? True Is 27280371 a multiple of 12? False Does 4932 divide 1390378451? False Is 66608930 a multiple of 194? True Does 334 divide 277050328? True Is 336733140 a multiple of 894? False Does 449 divide 26479864? False Is 135044634 a multiple of 36? False Is 469687509 a multiple of 1887? True Is 1023068092 a multiple of 402? False Is 115 a factor of 8444680? True Is 47 a factor of 50287415? True Is 30 a factor of 2468910180? True Is 136048631 a multiple of 3? False Is 9369436 a multiple of 118? True Is 11 a factor of 450874284? False Is 21 a factor of 17301627? True Does 280 divide 14436240? True Is 1677945053 a multiple of 27? False Is 21442308 a multiple of 6? True Is 25 a factor of 681875359? False Is 17839803 a multiple of 40? False Is 2404110217 a multiple of 25? False Does 45 divide 13097115? True Does 4 divide 110649949? False Does 12 divide 24636216? True Is 162470342 a multiple of 37? False Is 77 a factor of 85906700? False Is 359 a factor of 508635508? True Does 10 divide 67245620? True Is 164571991 a multiple of 5? False Does 704 divide 29398336? True Is 8570 a factor of 1688769920? True Is 84116985 a multiple of 45? False Is 161690471 a multiple of 1873? True Is 17551509 a multiple of 4? False Is 355030228 a multiple of 9? False Is 249675036 a multiple of 348? True Is 873178996 a multiple of 33? False Is 395 a factor of 96688677? False Is 106 a factor of 19807199? False Is 14067877 a multiple of 242? False Does 11 divide 125901417? False Is 10 a factor of 22759490? True Is 24 a factor of 208305744? True Is 14920570 a multiple of 189? False Is 760073875 a multiple of 521? True Is 227 a factor of 387406353? False Does 1522 divide 19835489? False Does 32 divide 386480127? False Is 429 a factor of 28946416? False Is 341611784 a multiple of 37? False Is 1053 a factor of 2369484819? True Does 867 divide 78806980? False Is 152554338 a multiple of 6? True Does 29 divide 257684996? False Is 1034709088 a multiple of 49? True Is 11690612 a multiple of 12? False Is 43 a factor of 55510024? False Is 32 a factor of 277364224? True Is 113998608 a multiple of 18? True Is 32237603 a multiple of 1711? False Is 19 a factor of 17864161? True Is 10596853 a multiple of 68? False Is 643 a factor of 328270147? True Is 17 a factor of 14795457? True Is 33163176 a multiple of 15? False Is 348 a factor of 1109963052? True Is 218270284 a multiple of 46? False Is 28087499 a multiple of 4? False Does 77 divide 704163626? False Does 90 divide 27597960? True Is 47767053 a multiple of 16? False Is 69 a factor of 1048786574? False Does 10 divide 206314500? True Does 1284 divide 135026069? False Is 258210987 a multiple of 417? True Is 1758 a factor of 3328991649? False Does 90 divide 6294652? False Is 480901860 a multiple of 795? True Is 1659095084 a multiple of 1291? True Is 40533834 a multiple of 47? True Is 86 a factor of 1961049694? False Is 176 a factor of 27236704? True Does 32 divide 86733376? True Is 110780414 a multiple of 208? False Is 367562646 a multiple of 11? True Is 9034645 a multiple of 3714? False Is 211 a factor of 40821326? True Is 157 a factor of 792640774? False Is 1950 a factor of 118043250? True Is 17 a factor of 6781058? False Is 42106029 a multiple of 83? False Does 71 divide 3219361? False Does 764 divide 7276336? True Is 46059520 a multiple of 104? True Is 2108078269 a multiple of 191? True Is 7755964 a multiple of 156? False Is 234 a factor of 161003934? True Is 316 a factor of 397038634? False Is 3 a factor of 253686278? False Is 1451321596 a multiple of 47? False Does 20 divide 3554380? True Is 3 a factor of 815501267? False Is 560950038 a multiple of 1826? False Does 44 divide 3083907156? True Is 1450 a factor of 35084200? True Is 17 a factor of 837740824? True Is 95173320 a multiple of 440? True Does 49 divide 215870414? False Is 13903573 a multiple of 13? False Does 8 divide 340260846? False Does 7 divide 8293120? False Is 1396 a factor of 1092919856? False Is 9331164 a multiple of 316? True Does 104 divide 66015597? False Does 113 divide 24986698? False Is 49 a factor of 20488498? False Is 12407299 a multiple of 25? False Is 10800239 a multiple of 230? False Is 230 a factor of 1427119640? True Is 1299460692 a multiple of 115? False Does 22 divide 4111822? True Does 317 divide 73734200? True Is 2814108726 a multiple of 6? True Does 6359 divide 233184530? True Is 90898353 a multiple of 861? True Does 41 divide 51475541? True Does 110 divide 5957142? False Does 609 divide 443827018? False Is 404728 a multiple of 496? False Is 80580786 a multiple of 78? True Does 14 divide 63659167? False Is 216 a factor of 29660040? True Is 6 a factor of 21014292? True Does 877 divide 1111030081? True Is 1093 a factor of 444683514? False Is 13 a factor of 5674762389? False Is 8091 a factor of 1126103271? False Is 44175157 a multiple of 23? True Is 372 a factor of 63330024? True Is 73446080 a multiple of 84? False Does 422 divide 115065052? True Is 10 a factor of 2347418110? True Is 2270045 a multiple of 435? False Is 31382117 a multiple of 83? False Does 884 divide 209655628? True Does 72 divide 2578752? True Does 69 divide 853912191? True Is 2369348480 a multiple of 68? True Is 874293 even? False Is 226967156 a multiple of 52? True Is 40 a factor of 158362775? False Does 299 divide 872073267? True Is 15 a factor of 191003355? True Is 882 a factor of 2425514? False Is 7451 a factor of 92563773? True Is 2405 a factor of 718589950? True Is 7936 a factor of 1527742456? False Is 231 a factor of 156296448? True Does 55 divide 32246118? False Does 6 divide 2443926? True Is 806966
{ "pile_set_name": "DM Mathematics" }
ivisor of 156 and v? 26 Let o(j) = -j**2 - 6*j. Let l be o(-6). Let n = l + 6. Calculate the highest common divisor of n and 48. 6 Suppose u = 2*t + 4, u - 4*u = 2*t - 20. Calculate the highest common factor of 6 and u. 6 Let g be 2 - 106/(-1) - -2. Calculate the highest common factor of 10 and g. 10 Suppose -5*b - 4*g + 177 = 0, -4*b = -3*g + 6*g - 141. Calculate the greatest common factor of b and 3. 3 Let y(v) = -2*v + 8. Let u be y(-5). Calculate the highest common divisor of 18 and u. 18 Let c be (-4)/18 - (-2841)/27. Calculate the greatest common divisor of 42 and c. 21 Let r(m) = -m**2 + 6*m - 1. Let f be r(7). Let t = f - -46. Suppose -5*o + 133 = t. What is the greatest common factor of 95 and o? 19 Suppose g = 17 + 3. Let l be 12/(-10)*(-50)/3. What is the highest common divisor of g and l? 20 Suppose -110 = -5*c + 2*k, c - 4*k + 3*k - 22 = 0. Let z(f) = 14*f**2 - 2*f + 3. Let n be z(2). What is the greatest common factor of n and c? 11 Let v be 6/(-33) - 334/(-22). Suppose -5*k - 4*x + 54 = 0, 4*x + 36 = k + 3*k. Calculate the greatest common divisor of k and v. 5 Suppose -57 = -5*d + 28. Let o = d + -12. What is the greatest common factor of o and 40? 5 Suppose 3*j = q - 4, q - 4*j = -6*j + 9. What is the greatest common factor of q and 63? 7 Suppose -k + 3*k = 8. Calculate the greatest common factor of 4 and k. 4 Let q = 16 + 3. Suppose 4*n - 89 = q. Let p be 0 - (-54)/(2 + 1). Calculate the greatest common divisor of p and n. 9 Let b(p) = -p**3 + 10*p**2 + 4*p. Let u be b(10). Let j(f) = -f + 20. Let x be j(0). Calculate the greatest common divisor of u and x. 20 Suppose 3*s = -d - 3 + 16, -5*s + 21 = 2*d. Suppose 0 = 5*k - 257 + 32. What is the greatest common divisor of k and s? 5 Suppose v - 9 = -0. Calculate the highest common factor of 6 and v. 3 Let b be ((-124)/6)/(3/(-18)). Let d = b + -88. What is the greatest common divisor of d and 54? 18 Suppose -6*x = -x - 10, -5*o + 19 = 2*x. Suppose 2*k = 3*k. Suppose k = -2*a + 4, -2*w = -o*w - 3*a + 61. What is the greatest common divisor of w and 5? 5 Suppose 4*u + 2*u - 72 = 0. What is the greatest common factor of 72 and u? 12 Suppose 4*d - h - 432 - 235 = 0, 2*d - 356 = -4*h. What is the highest common factor of 24 and d? 24 Suppose 5*t = 4*t - 4*x + 6, -3*t = -2*x - 32. Calculate the greatest common divisor of 4 and t. 2 Let l be (-1 + 2)*1/(-1). Let k be 3*(-1 + l - -4). Let j = 50 + -35. What is the highest common factor of j and k? 3 Let q(l) = 4*l + 2. Let o be q(5). Let y = 3 + o. Let b = 43 - y. Calculate the highest common divisor of 12 and b. 6 Let d be (9/(-27))/((-2)/192). Calculate the highest common divisor of d and 24. 8 Suppose 2*t - 24 = -t. Suppose -2*p = 2*c - 128, 4*p - 5 + 261 = 4*c. What is the greatest common factor of c and t? 8 Let n be -23 - (3 - 2)/(-1). Let k = n - -42. Suppose -7 = -2*m + 13. Calculate the highest common divisor of k and m. 10 Let p be 6/(-12)*1*-12. Let m be 3/p*-2*-4. What is the greatest common factor of m and 16? 4 Let q(a) = a**3 - 8*a**2 + 7*a + 2. Let x be q(7). Suppose -5*g + 58 = -22. What is the highest common factor of g and x? 2 Let q be 1317/15 - (0 + (-1)/5). Calculate the highest common factor of 22 and q. 22 Let h(y) = y - 6. Let t be h(8). Let f = t - 1. Let r = -2 + 4. What is the highest common factor of r and f? 1 Suppose -3*v - 27 = 3. Let j be 4/v*1*-70. What is the greatest common factor of j and 42? 14 Let p = -44 - -83. Calculate the greatest common factor of p and 13. 13 Let y(m) = -6*m - 21. Let t be y(-6). What is the greatest common factor of t and 105? 15 Let q be (-32)/6*(-1 + -8). Calculate the highest common factor of 48 and q. 48 Let w(k) = 2*k**2 - k - 4. Let d be w(-3). Suppose 5*v = 265 - 10. Calculate the highest common factor of v and d. 17 Let p(j) = -j + 7. Let r be p(10). Let w = r - -5. Suppose 5*l = w*l + 63. What is the greatest common factor of 3 and l? 3 Let y be (3 - -1) + 2*-1. Let z be (y - 0) + -7 + -1. Let v(d) = d**2 + 5*d + 2. Let s be v(z). Calculate the highest common factor of 64 and s. 8 Suppose 0 = 3*t - 8 - 73. What is the greatest common factor of 243 and t? 27 Suppose -25 = 28*m - 33*m. Suppose -432 = -m*j + 173. What is the greatest common divisor of 11 and j? 11 Let m be 1/(-2*2/(-116)). Suppose 0 = 4*b - m + 5. Let s be -2 + 18*b/4. Calculate the greatest common factor of 5 and s. 5 Let t = 6 - 7. Let c(x) = 4*x**2 + x. Let w be c(t). Suppose 29 = 3*p - 5*s + w, 2*p = -4*s + 54. Calculate the greatest common divisor of p and 51. 17 Suppose r + 10 = 2*r. Calculate the greatest common divisor of 40 and r. 10 Let b be ((-10)/15)/(4/(-12)). Calculate the highest common factor of b and 4. 2 Suppose -112 = -11*n + 4*n. What is the highest common factor of n and 128? 16 Let q = 52 + -4. Suppose 0 = -4*v + 7*v - 96. What is the highest common factor of q and v? 16 Suppose 3*m + 35 = 83. What is the greatest common divisor of m and 16? 16 Suppose 2 = 2*d - 2. Let n(q) = 0 + 6*q - q**2 + 2*q**d + 4. Let i be n(-6). What is the highest common divisor of i and 10? 2 Let z(n) = 2*n**2 - 14*n + 11. Let m be z(11). Calculate the greatest common factor of m and 9. 9 Let j(w) = 3*w**3 - 5*w**2 + w - 4. Let h be j(4). Calculate the highest common factor of 16 and h. 16 Let b = 34 + -7. Calculate the highest common factor of b and 27. 27 Let g = 343 - 145. Calculate the highest common factor of 18 and g. 18 Let t = -3 - -2. Let c(j) = -18*j**3 + j + 1. Let v be c(t). Suppose -4*b = -5*z + v + 24, 40 = 5*z - 5*b. Calculate the greatest common factor of 10 and z. 10 Let z be (-4 + 7)/((-3)/(-5)) + 0. What is the highest common divisor of z and 15? 5 Let n(a) = 2*a**2 + 2*a + 3. Let v be n(5). Suppose -4*o - 11 + 179 = 0. Calculate the greatest common divisor of v and o. 21 Let o(g) = -22*g - 6. Let u be o(-6). Suppose 7 = 5*d - 63. Calculate the greatest common factor of u and d. 14 Let z = -18 + 38. Calculate the greatest common divisor of 180 and z. 20 Suppose 4*s + 42 = 2*d, 0 = -4*s + 7*s + 15. Suppose 4*j = -2*q + 316 - 98, -3*q + 292 = -j. Calculate the greatest common divisor of q and d. 11 Let q(w) be the second derivative of 8*w**3 - 3*w. Let x be q(1). Calculate the greatest common divisor of 32 and x. 16 Suppose 480 = 3*m + 5*m. Calculate the highest common divisor of 40 and m. 20 Let f be (-40)/12*6/(-4). Suppose 34 = 3*k - f*w, -3*k + 3*w + 0*w + 30 = 0. Suppose 3*m + 0*m = 240. What is the greatest common factor of k and m? 8 Let c be ((-5)/(-15))/(2/6). Let j be 2/(c*1/13). Let f = 146 - j. What is the highest common factor of 15 and f? 15 Let z = 78 + -51. Let i = z + -5. What is the greatest common divisor of i and 154? 22 Let p be (5/2*3)/(6/8). Suppose -k = -5*u - 263, 6*k - 15 = k. Let z = 58 - u. What is the greatest common divisor of p and z? 10 Let j(y) = -y + 7. Let x be j(-4). What is the highest common factor of x and 77? 11 Let s = -9 - -13. Suppose -t + s = -3. Suppose -5*q + 112 = -3*q. Calculate the highest common divisor of q and t. 7 Suppose 3*m - 3 = 0, -47 = -4*s - 5*m + 18. What is the greatest common divisor of s and 25? 5 Let s(t) = t**3 + 10*t**2 + 8*t. Let h = -21 + 15. Let z be s(h). Calculate the highest common factor of 12 and z. 12 Suppose -2*m + 127 = 113. Let d be (1 - 0) + 124/2. What is the highest common factor of d and m? 7 Let b = -100 - -109. Let g = 9 + -3. Let t(f) = -f**3 + 9*f**2 - f - 3. Let a be t(g). Calculate the greatest common divisor of b and a. 9 Let n be (128/5)/(1/5). Let z = -4 + 6. Let w be (-31)/(-2) - z/(-4). Calculate the greatest common factor of n and w. 16 Suppose 3*q = -0*q + 21. Let r(m) = m**3 - 6*m**2 - 8*m + 10. Let s be r(q). What is the highest common factor of 33 and s? 3 Suppose 12*x + 595 = 17*x. Calculate the greatest common factor of 17 and x. 17 Let k be (-1069)/(-9) + 8/36. Let l = -1 + 18. What is the greatest common factor of l and k? 17 Suppose -2*g + 191 = -123. Suppose g = 5*m - 43. Let l = 16 + 0. Calculate the greatest common divisor of m and l. 8 Let i(m) = m**3 + 4*m**2 - 4*m + 7. Let q be i(-4). What is the highest common divisor of q and 115? 23 Let b(w) = 2*w + 14. Let z be b(-6). Suppose 0 = 4*c - v - 206 + 33, 0 = z*c - v - 85. Calculate the greatest common divisor of 4 and c. 4 Let d
{ "pile_set_name": "DM Mathematics" }
c. -4 Solve -3*b + 36 = 30 for b. 2 Solve 42*c = 43*c for c. 0 Solve -26*h - 6 = 72 for h. -3 Solve -15*b + 23 = -37 for b. 4 Solve 0 = 21*r - 15*r + 6 for r. -1 Solve -3*f - 22 = 8*f for f. -2 Solve 19*h = -7 + 83 for h. 4 Solve 35*g - 185 = 72*g for g. -5 Solve 9*z + 24 = 60 for z. 4 Solve 0 = -28*a + 13*a for a. 0 Solve -42*p - 312 = -94*p for p. 6 Solve 2*b = -5*b - 7 for b. -1 Solve 3*l - 8*l + 25 = 0 for l. 5 Solve -18 + 24 = -3*r for r. -2 Solve 6*d - 255 = -255 for d. 0 Solve -42 = -14*p + 56 for p. 7 Solve -610*f + 605*f = -15 for f. 3 Solve 4*z + 4*z - 8 = 0 for z. 1 Solve -581*h - 105 = -602*h for h. 5 Solve -21*y + 27 = -30*y for y. -3 Solve 4*o = 1 - 17 for o. -4 Solve -9*i = -30 + 75 for i. -5 Solve 24*h + 88 = 2*h for h. -4 Solve 0 = -0*d - 23*d - 115 for d. -5 Solve 0 = -6*c - 27 + 33 for c. 1 Solve -395*q + 14 = -393*q for q. 7 Solve 2 = 15*z + 77 for z. -5 Solve 0 = -11*f - 12*f - 138 for f. -6 Solve 60*r + 370 = -170 for r. -9 Solve -222 = 81*a - 44*a for a. -6 Solve -14 = -14*x - 28 for x. -1 Solve 6*k - 2*k + 8 = 0 for k. -2 Solve -236 = -5*r - 241 for r. -1 Solve 7*h = -48 + 48 for h. 0 Solve -50*f + 550 = 250 for f. 6 Solve -2*n + 2*n = -n for n. 0 Solve -t = 2*t + 12 for t. -4 Solve 23*j = 3*j - 120 for j. -6 Solve 88*t - 1004 = -212 for t. 9 Solve 2*m = 13 + 1 for m. 7 Solve 0 = 45*z - 283 - 77 for z. 8 Solve 0*f = -f - 2*f for f. 0 Solve -30*h - 20*h = 0 for h. 0 Solve -1545 + 1538 = -c for c. 7 Solve 36 - 1 = -7*t for t. -5 Solve -13*n + 2*n = 0 for n. 0 Solve -6*i - 29 + 53 = 0 for i. 4 Solve 0 = -56*c + 65*c - 63 for c. 7 Solve 0 = 4*c + 3096 - 3100 for c. 1 Solve -57*l = -85*l - 224 for l. -8 Solve -3*k + 11*k + 24 = 0 for k. -3 Solve -199*n + 210*n = 55 for n. 5 Solve 0 = -3*g + 4*g + 1 for g. -1 Solve -145 = 3*b - 130 for b. -5 Solve 12*p - 4 + 16 = 0 for p. -1 Solve -17*s = -15*s + 2 for s. -1 Solve -5*s + 27*s + 88 = 0 for s. -4 Solve 39 = 14*d + 11 for d. 2 Solve 89*p - 4 = 85*p for p. 1 Solve -33 = 2*n - 31 for n. -1 Solve -i + 3 = 1 for i. 2 Solve 0 = -c - 624 + 628 for c. 4 Solve -18 = -5*k - 43 for k. -5 Solve 2*d + 3 = 9 for d. 3 Solve 0 = -84*t + 56*t + 112 for t. 4 Solve 8 = -7*u + 9*u for u. 4 Solve -160*j + 4 = -164*j for j. -1 Solve 25 = 119*d - 124*d for d. -5 Solve -110*a + 118*a - 8 = 0 for a. 1 Solve 24 = -133*x + 127*x for x. -4 Solve -2*m - 6280 + 6270 = 0 for m. -5 Solve 25*v - 23*v = 2 for v. 1 Solve -2633*g - 28 = -2647*g for g. 2 Solve 2*r - 30 = 17*r for r. -2 Solve 0 = -67*j - 298 - 238 for j. -8 Solve -2*j + 333 = 337 for j. -2 Solve -51*k = 27*k - 624 for k. 8 Solve -2*b = -7*b + 5 for b. 1 Solve -152 = 860*b - 879*b for b. 8 Solve y + 20 = 5*y for y. 5 Solve 15 = 44*p - 49*p for p. -3 Solve -439 + 434 = j for j. -5 Solve 3*k + k - 12 = 0 for k. 3 Solve 2*a + 7*a = -45 for a. -5 Solve 11*b = 15*b + 4 for b. -1 Solve 9*s = 15 - 6 for s. 1 Solve -43*c + 39*c = 28 for c. -7 Solve 6*q + 6 = -0*q for q. -1 Solve 6*r - r = 25 for r. 5 Solve 12 = -16*v + 44 for v. 2 Solve 9*g - 815 + 761 = 0 for g. 6 Solve 12*t - 25 = 47 for t. 6 Solve 94*x - 101*x = 28 for x. -4 Solve 65*r - 60 = 80*r for r. -4 Solve 0 = -69*u + 63*u + 36 for u. 6 Solve -6*m + 11*m = -10 for m. -2 Solve 27*s - 3*s = 48 for s. 2 Solve 15*f = 26 - 26 for f. 0 Solve 0 = 15*f + 86 - 11 for f. -5 Solve -223 + 205 = -2*d for d. 9 Solve 9*r + 37 = 73 for r. 4 Solve 0 = 76*d - 74*d + 6 for d. -3 Solve -4*n - 6 + 14 = 0 for n. 2 Solve -55 + 60 = 5*d for d. 1 Solve -5*h + 30 = 25 for h. 1 Solve 52*i - 40*i = 48 for i. 4 Solve 9*z = -2*z - 55 for z. -5 Solve 33 = 45*g - 56*g for g. -3 Solve 29 + 6 = 5*c for c. 7 Solve 136*s + 42 = 142*s for s. 7 Solve -x - 4*x = 20 for x. -4 Solve 9*l - 11 + 29 = 0 for l. -2 Solve 36*b + 34 = 19*b for b. -2 Solve 5946*i - 5952*i + 42 = 0 for i. 7 Solve 190*t + 3 = 193*t for t. 1 Solve -123 = 10*q - 103 for q. -2 Solve 55*m + 116 = 446 for m. 6 Solve a = 22 - 23 for a. -1 Solve 5 = 2*t + 3 for t. 1 Solve 166 = 22*b + 144 for b. 1 Solve 10*f + 10*f - 60 = 0 for f. 3 Solve 9*p + 29 + 16 = 0 for p. -5 Solve 0 = 22*j - 14*j + 48 for j. -6 Solve -26 - 16 = -14*a for a. 3 Solve -203*t = -227*t + 120 for t. 5 Solve -8*m = -7*m + 2 for m. -2 Solve 23*y - 44 = y for y. 2 Solve -30*d = -76*d + 368 for d. 8 Solve -5 = 17*d - 22*d for d. 1 Solve 4*w + 571 = 587 for w. 4 Solve -6*p + 22 = -2 for p. 4 Solve 230*y = 233*y for y. 0 Solve 47*p = 50*p - 24 for p. 8 Solve -39*m + 16 = -35*m for m. 4 Solve -31*o - 4 = -27*o for o. -1 Solve 12*d + 35 = 11 for d. -2 Solve -33*v - 25 = 173 for v. -6 Solve -56*w - 74*w + 1040 = 0 for w. 8 Solve -11*i + 2 = -13*i for i. -1 Solve -2 = -3*t + 10 for t. 4 Solve -98*w = -83*w + 90 for w. -6 Solve 10*u = 6*u - 8 for u. -2 Solve -10*l - 25 = -5*l for l. -5 Solve -t + 12*t = 8*t for t. 0 Solve y = 4*y - 3 for y. 1 Solve 18*l - 57 = -201 for l. -8 Solve 15*x - 56 - 34 = 0 for x. 6 Solve 10*r = -r - 33 for r. -3 Solve -3*j - 3*j = -30 for j. 5 Solve 11 = -h + 14 for h. 3 Solve -56 = 48*n - 296 for n. 5 Solve 0 = 45*b - 57*b + 12 for b. 1 Solve 74 = 29*b + 219 for b. -5 Solve 10*v - 13 = 7 for v. 2 Solve 0 = -27*o - 15*o - 294 for o. -7 Solve 776 = -105*a + 8*a for a. -8 Solve 0 = 4*j + 1 - 5 for j. 1 Solve -8*k + 6*k = 4 for k. -2 Solve -39 + 0 = -13*d for d. 3 Solve 22 = 12*i - 50 for i. 6 Solve c - 15 = 4*c for c. -5 Solve 0 = 7*b + 41 - 62 for b. 3 Solve 168*y - 18 = 171*y for y. -6 Solve 37*k + 7 = 192 for k. 5 Solve -394*h = -393*h + 4 for h. -4 Solve l - 12 = -9 for l. 3 Solve 0 = -11*o + 13*o for o. 0 Solve d - 12 = 4*d for d. -4 Solve -7*w - 44 = 4*w for w. -4 Solve 108*q - 32 = -248 for q. -2 Solve -76*z = -65*z + 11 for z. -1 Solve -2*s + 13*s = -22 for s. -2 Solve -36*m = -90 - 54 for m. 4 Solve 7*c + 4 = -10 for c. -2 Solve 6*q - 7*q - 1 = 0 for q. -1 Solve 0 = 98*s - 92*s + 6 for s. -1 Solve 11*t - 70 = -24*t for t. 2 Solve 3*p - 67 = -52 for p. 5 Solve -50 + 85 = -35*n for n. -1 Solve 25 - 17 = 4*l for l. 2 Solve 8*u = -2 + 34 for u. 4 Solve -35*n + 51 = -54 for n. 3 Solve -9*i + 26 = -1 for i. 3 Solve -38*c - 6 = -44*c for c. 1 Solve -9*o - 29 = -2 for o. -3 Solve 30*n = 32*n + 10 for n. -5 Solve 23*f + 41 = 133 for f. 4 Solve -34*q + 134 = -104 for q. 7 Solve 21*a = 18*a + 21 for a. 7 Solve -10*f - 51 = -27*f for f. 3 Solve -5 + 8 = z for z. 3 Solve -4*s - 7 = -15 for s. 2 Solve 447*a = 452*a for a. 0 Solve -631 = -6*a - 601 for a. 5 Solve 0 = 5*u - 23 + 28 for u. -1 Solve 8*b = 4*b - 12 for b. -3 Solve 0 = -39*v + 23*v for v. 0 Solve 4*t + 1 + 11 = 0 for t. -3 Solve 0 = 454*t - 460*t - 30 for t. -5 Solve 14 = -3*l + 8 for l. -2 Solve 73*o - 14 = 59*o for o. 1 Solve 16 = -8*o - 0*o for o. -2 Solve 2*l - 84 + 92 = 0 for l. -4 Solve 40 = 23*s - 13*s for s. 4 Solve 81 = -100*a + 109*a for a. 9 Solve -1 = 6*o + 35 for o. -6 Solve -21*c - 77 + 119 = 0 for c. 2 Solve 4*n = -3*n - 28 for n. -4 Solve 0 = -63*y + 62*y - 1 for y. -1 Solve 16*i + 9*i + 125 = 0 for i. -5 Solve 0 = -71*u + 624 - 198 for u. 6 Solve 0 = 15*x + 16*x + 248 for x. -8 Solve -3*l + 7 = 1 for l. 2 Solve -26*p = -38*p for p. 0 Solve 8*s - 12 = -4 for s. 1 Solve 11*d + 5 = 5 for d. 0 Solve 22 = 5*n + 27 for n. -1 Solve 0 + 9 = 3*r for r. 3 Solve -14*q - 4 = -10*q for q. -1 Solve -16*l = -11*l + 25 for l. -5 Solve -19 = -8*c - 11 for c. 1 Solve -13*f - 4 = -9*f for f. -1 Solve 173 = -37*q - 12 for q. -5 Solve 4*s = 23 - 7 for s. 4 Solve -4 = -8*s - 52 for s. -6 Solve 35*k = -10*k - 45 for k. -1 Solve 11*n = -167 + 112 for n. -5 Solve -4*l = l for l. 0 Solve -123 = 31*g - 92 for g. -1 Solve -9*k - 1310 = -1346 for k. 4 Solve -266 = -0*m - 38*m for m. 7 Solve -9*l + 8*l + 2 = 0 for l. 2 Solve 5*z + 28 = 12*z for z. 4 Solve 9*i + 18*i = 0 for i. 0 Solve 0 = 19*x - 10*x - 63 for x. 7 Solve -d + 1035 = 1042 for d. -7 Solve -170 = 11*n + 6*n for n. -10 Solve -p + 15 = 10 for p. 5 Solve 11*v = -411 + 488 for v. 7 Solve 0 = -9*m + 2*m - 28 for m. -4 Solve -5*v + 149 - 124 = 0 for v. 5 Solve 47*t - 357 = -4*t for t. 7 Solve 0 = 12*n - 8*n + 20 for n. -5 Solve 9*i + i - 40 = 0 for i. 4 Solve 5*t - 10 = 3*t for t. 5 Solve 47*k = 27*k + 60 for k. 3 Solve -84 = -13*q + 25*q for q. -7 Solve 44*g + 99 + 77 = 0 for g. -4 Solve 20*w = 26*w + 12 for w. -2 Solve -43*j + 26 = -17*j for j. 1 Solve 13*k - 7*k - 12 = 0 for k. 2
{ "pile_set_name": "DM Mathematics" }
8 Calculate the highest common factor of 202200 and 2400. 600 What is the greatest common factor of 33440 and 55220? 220 What is the greatest common divisor of 148977 and 8? 1 Calculate the greatest common factor of 3859 and 24289. 227 What is the highest common divisor of 1440 and 12912? 48 Calculate the highest common factor of 22 and 563266. 22 Calculate the highest common divisor of 21602 and 126. 14 What is the highest common divisor of 1556 and 668? 4 Calculate the greatest common factor of 902 and 7708. 82 What is the greatest common factor of 82 and 8479538? 82 Calculate the highest common divisor of 29325 and 5525. 425 What is the highest common divisor of 128 and 33952? 32 Calculate the greatest common divisor of 126 and 221340. 42 Calculate the greatest common divisor of 34 and 923491. 17 Calculate the highest common factor of 903 and 2499. 21 What is the highest common factor of 921358 and 674? 674 Calculate the greatest common divisor of 1358 and 644. 14 What is the greatest common divisor of 1627752 and 42? 42 Calculate the highest common divisor of 9950 and 2025. 25 What is the greatest common divisor of 55 and 7909? 11 What is the highest common divisor of 1854 and 135136? 206 What is the greatest common divisor of 5 and 344100? 5 Calculate the highest common factor of 9545 and 805. 115 What is the greatest common factor of 1449 and 9591? 69 Calculate the highest common divisor of 128 and 12007552. 128 Calculate the highest common divisor of 1135 and 165483. 227 Calculate the greatest common divisor of 6336544 and 48. 16 Calculate the highest common factor of 3190 and 26730. 110 Calculate the greatest common divisor of 9227 and 1. 1 What is the greatest common divisor of 927735 and 5334? 381 What is the highest common divisor of 141 and 162996? 141 What is the greatest common factor of 91234 and 442? 26 What is the highest common factor of 1551 and 13113? 141 What is the greatest common factor of 22788 and 216? 108 What is the greatest common factor of 1479 and 2601? 51 Calculate the greatest common divisor of 6012 and 18288. 36 Calculate the greatest common factor of 1688229 and 372. 93 What is the greatest common divisor of 976 and 3690744? 488 Calculate the greatest common divisor of 1448 and 1296. 8 What is the greatest common factor of 409366 and 62340? 2078 What is the highest common factor of 4324855 and 1975? 395 What is the greatest common divisor of 70 and 15920240? 70 What is the greatest common factor of 40256 and 408? 136 Calculate the highest common divisor of 735 and 64932. 21 Calculate the greatest common divisor of 333418 and 188. 94 What is the highest common divisor of 2745 and 2115? 45 Calculate the highest common factor of 8 and 31. 1 Calculate the highest common factor of 5015 and 425. 85 What is the highest common factor of 8626 and 93070? 454 Calculate the highest common factor of 168495 and 16215. 705 What is the highest common factor of 616 and 3982? 22 What is the greatest common factor of 64 and 700744? 8 Calculate the greatest common factor of 93996 and 2688. 84 Calculate the greatest common divisor of 221 and 4692. 17 What is the highest common factor of 56 and 9632? 56 Calculate the highest common divisor of 1441 and 1969. 11 Calculate the highest common factor of 330687 and 10317. 543 Calculate the greatest common factor of 997305 and 2040. 255 Calculate the greatest common divisor of 1628550 and 462. 462 What is the greatest common factor of 18327 and 9536? 149 What is the greatest common factor of 7721938 and 566? 566 What is the greatest common factor of 437851 and 69? 23 What is the greatest common factor of 23792 and 4096? 16 What is the greatest common divisor of 4272 and 801? 267 What is the highest common divisor of 29250 and 20150? 650 Calculate the greatest common factor of 57 and 465519. 57 What is the highest common factor of 33269 and 721? 103 Calculate the highest common factor of 602 and 1118. 86 What is the greatest common factor of 92636 and 12? 4 What is the highest common factor of 24420 and 25740? 660 What is the highest common factor of 588 and 79968? 588 Calculate the greatest common divisor of 314075 and 85. 85 Calculate the greatest common factor of 35620 and 503475. 685 Calculate the highest common factor of 143 and 112739. 11 What is the greatest common factor of 3560 and 2020? 20 Calculate the highest common divisor of 64727 and 11873. 383 Calculate the highest common divisor of 22035 and 260. 65 Calculate the highest common divisor of 2326478 and 616. 154 What is the greatest common divisor of 13062 and 2982? 42 Calculate the greatest common divisor of 27904 and 60604. 436 What is the greatest common factor of 42328 and 63778? 286 Calculate the greatest common factor of 644 and 8165. 23 Calculate the greatest common factor of 146280 and 207. 69 Calculate the highest common divisor of 58554 and 54. 18 Calculate the greatest common factor of 3688364 and 652. 652 Calculate the greatest common divisor of 729 and 2376. 27 Calculate the greatest common divisor of 31 and 126821. 31 Calculate the highest common factor of 5164 and 268. 4 What is the greatest common divisor of 1195532 and 52? 52 What is the highest common divisor of 1021410 and 65? 65 What is the highest common factor of 59 and 6269281? 59 Calculate the highest common factor of 546 and 521430. 546 Calculate the highest common divisor of 53156 and 1096. 548 Calculate the highest common factor of 225 and 9117. 9 What is the highest common divisor of 80 and 174380? 20 What is the highest common factor of 25390417 and 13? 13 Calculate the greatest common factor of 61095 and 40. 5 Calculate the greatest common factor of 274 and 21646. 274 Calculate the greatest common factor of 20 and 1246840. 20 Calculate the greatest common factor of 716 and 2304625. 179 Calculate the greatest common factor of 7746455 and 71. 71 Calculate the highest common factor of 192240 and 9504. 432 What is the highest common factor of 30 and 4139700? 30 What is the highest common divisor of 6707 and 14193? 19 What is the greatest common factor of 290 and 50810? 10 What is the greatest common divisor of 1430 and 99242? 286 What is the highest common factor of 40790 and 10? 10 Calculate the highest common factor of 88907 and 364. 91 Calculate the highest common divisor of 58482 and 162. 162 What is the highest common factor of 7384 and 446164? 284 What is the greatest common divisor of 1353238 and 222? 74 Calculate the greatest common factor of 688 and 160003. 43 Calculate the highest common factor of 110 and 1735. 5 What is the highest common factor of 99384 and 909? 303 What is the highest common factor of 1101 and 1383223? 367 Calculate the greatest common divisor of 3068 and 5428. 236 Calculate the highest common divisor of 58905 and 4488. 561 Calculate the greatest common divisor of 2144 and 36752. 16 What is the greatest common divisor of 442 and 450? 2 Calculate the highest common divisor of 96256 and 24816. 752 What is the greatest common factor of 162723 and 22? 11 Calculate the greatest common divisor of 91 and 6838. 13 What is the highest common factor of 3922 and 216558? 106 What is the highest common factor of 175162 and 26? 26 What is the highest common divisor of 1328 and 429608? 664 What is the greatest common factor of 90 and 7460? 10 Calculate the greatest common factor of 128025 and 225. 225 What is the greatest common divisor of 618850 and 50? 50 What is the greatest common factor of 1188 and 4548? 12 What is the greatest common factor of 43 and 11622341? 43 What is the highest common divisor of 3395 and 1688770? 485 Calculate the highest common factor of 108 and 21072. 12 Calculate the greatest common factor of 194 and 16. 2 What is the highest common divisor of 6341 and 85? 17 What is the greatest common divisor of 42 and 23706? 6 What is the highest common factor of 1749 and 3490421? 583 Calculate the highest common factor of 5022 and 1170. 18 What is the highest common divisor of 60 and 276810? 30 Calculate the highest common divisor of 20020 and 126. 14 What is the highest common divisor of 569608 and 104? 104 What is the greatest common divisor of 101105 and 1460? 365 Calculate the highest common factor of 283950
{ "pile_set_name": "DM Mathematics" }
ivided by 339515965. -5 6526360 divided by 20 326318 What is 1036521 divided by -515? -1036521/515 Divide 11844048 by -10632. -1114 3033482 divided by -40993 -74 Calculate -135432022 divided by 12154. -11143 Calculate 12453333 divided by -61. -204153 Divide -1 by 34806132. -1/34806132 Calculate 391946028 divided by 5718. 68546 What is 9674334 divided by -106? -4837167/53 Calculate -32426041 divided by 32426041. -1 Calculate 19690736 divided by -1514672. -13 Divide 32764466 by 7. 4680638 9687 divided by -5196 -3229/1732 -581096132 divided by 145274033 -4 Calculate 274991 divided by 57. 274991/57 Calculate 104548058 divided by 52274029. 2 Calculate 165444912 divided by -82722456. -2 Calculate 109966540 divided by -20. -5498327 Calculate 0 divided by 4622154. 0 Calculate 833334762 divided by 6. 138889127 Divide 83787 by 165. 2539/5 -12656 divided by -294 904/21 Calculate 17210 divided by 50231. 17210/50231 161262528 divided by -42 -3839584 What is -146818854 divided by -8156603? 18 What is -728351106 divided by 1699? -428694 10675 divided by 634 10675/634 -62097191 divided by 4776707 -13 Calculate -72913680 divided by -23310. 3128 Calculate 4 divided by -54555331. -4/54555331 -413 divided by 5485 -413/5485 6761920 divided by -7232 -935 Divide -2999250 by -23250. 129 2197 divided by -1628 -2197/1628 -1644110 divided by -319 1644110/319 Divide -39108150 by 7365. -5310 What is -830 divided by -327677? 830/327677 Calculate -179124047 divided by -42781. 4187 Divide 150236397 by -5. -150236397/5 Divide 0 by 82488324. 0 Divide 171619176 by -8. -21452397 Divide -331655 by -81. 331655/81 -1618195 divided by 55 -323639/11 Calculate -2358508 divided by -9. 2358508/9 Calculate 452632 divided by -29. -15608 -16 divided by 315376 -1/19711 What is -8 divided by 4924245? -8/4924245 What is 578232 divided by 9? 64248 Calculate 37 divided by 422067. 37/422067 Divide 61742 by 1. 61742 What is 11986 divided by 1651? 922/127 -5 divided by 1400890 -1/280178 Divide 16171337 by -16171337. -1 Divide -65 by -58169. 65/58169 0 divided by -32108526 0 217888 divided by -13618 -16 Calculate -4953 divided by -1483. 4953/1483 Divide -4 by -580438. 2/290219 Divide 313935078 by 62. 5063469 Calculate -25 divided by 142295. -5/28459 -105 divided by -4653932 105/4653932 Divide -137 by -1993713. 137/1993713 Divide -84357 by -602. 12051/86 What is 36157905 divided by -573935? -63 Calculate -388475202 divided by 1906. -203817 What is 4479 divided by 21497? 4479/21497 Divide -20627904 by 11. -1875264 Divide 5 by 3344041. 5/3344041 Calculate 147561344 divided by 5270048. 28 What is 328566762 divided by 47577? 6906 Divide -104227624 by 898514. -116 Divide 159595638 by -2. -79797819 Divide -32292631 by -587. 55013 88367 divided by 105 88367/105 Divide -1360002 by -1332. 226667/222 What is 1451466 divided by 297? 53758/11 Divide 462330800 by 95800. 4826 481775 divided by -6 -481775/6 What is -8 divided by -2227806? 4/1113903 Calculate -16388850 divided by -2. 8194425 Divide -1248600 by 16. -156075/2 Calculate 193189578 divided by -6. -32198263 Divide 3083449120 by -5. -616689824 Divide 27784 by -855. -27784/855 Calculate 107318858 divided by 53659429. 2 Divide 58427574 by 2. 29213787 -38 divided by -591414 19/295707 What is 106239 divided by 751? 106239/751 Calculate 5705 divided by 56427. 815/8061 -303283428 divided by 4395412 -69 Calculate 38259388 divided by 1. 38259388 Divide 3076 by -408. -769/102 Divide -399 by 10159. -399/10159 What is 15979779 divided by 3519? 4541 What is 4611 divided by 36479? 4611/36479 Divide 52961570 by 103. 514190 What is 13996 divided by -1719? -13996/1719 Divide 169 by 42399. 169/42399 -81797220 divided by -1363287 60 What is 214802768 divided by -107401384? -2 Divide 2424840 by -121242. -20 Calculate -161745447 divided by -53915149. 3 Calculate -594965 divided by 82. -594965/82 Divide -353591425 by 95. -3722015 Calculate -4933740 divided by 9674. -510 What is 1388 divided by -9068? -347/2267 Divide -754600 by -2200. 343 Calculate -5315592 divided by -12. 442966 6877013 divided by -625183 -11 What is 32679010 divided by -65? -502754 Calculate -329950653 divided by 3. -109983551 What is -7368234 divided by 5? -7368234/5 What is -4086 divided by -2812? 2043/1406 Divide 827261376 by -48. -17234612 What is -904987 divided by -4? 904987/4 Calculate -332850 divided by 21. -15850 1930758 divided by -56787 -34 Divide 3499650 by -249975. -14 5 divided by 72152144 5/72152144 What is -2679413 divided by 7? -2679413/7 -52255081 divided by -6229 8389 Calculate 21133123 divided by 1. 21133123 -78678 divided by 31 -2538 Divide 91894312 by 8. 11486789 Divide -2668000 by 106720. -25 Divide 13144950 by 262899. 50 What is 231 divided by -37094? -231/37094 What is -11125434 divided by 6? -1854239 What is -6348617 divided by 2? -6348617/2 Calculate 6235691 divided by -24647. -253 Calculate -4318199 divided by 54. -4318199/54 Calculate -612282 divided by -18. 102047/3 Calculate -11205 divided by -402. 3735/134 What is -36 divided by -10249231? 36/10249231 Divide -304 by 4060. -76/1015 -241654095 divided by -5 48330819 What is -51350 divided by -95? 10270/19 1569742380 divided by -3 -523247460 What is -23495587 divided by -43? 546409 Calculate -9731939 divided by 572467. -17 Calculate 5258657 divided by -9. -5258657/9 Divide -88668720 by 43380. -2044 512835 divided by -116 -512835/116 What is 1780 divided by 6034? 890/3017 Divide -116 by 870886. -58/435443 What is -13770143 divided by -91193? 151 What is 8795174 divided by -4397587? -2 67713 divided by -73 -67713/73 Calculate 102547595 divided by 26615. 3853 Calculate 5645788 divided by 97. 58204 What is -90971958 divided by 34342? -2649 What is -15809856 divided by 8? -1976232 Divide -11297 by 31. -11297/31 Divide -3 by 16018003. -3/16018003 Calculate -19805024 divided by -278944. 71 What is -11035600 divided by 5517800? -2 Calculate 26371435 divided by -5274287. -5 Calculate -12950523 divided by 8181. -1583 What is 11 divided by -4110? -11/4110 What is -25370532 divided by -132? 192201 Calculate -65224245 divided by 1144285. -57 -30873 divided by 8 -30873/8 Calculate 101017338 divided by 114. 886117 12 divided by 2359176 1/196598 Divide 10 by -29316795. -2/5863359 Calculate 4 divided by -25060159. -4/25060159 Calculate 823125560 divided by 164625112. 5 What is 5080495521 divided by 3? 1693498507 -234532228 divided by -33504604 7 Calculate -517506990 divided by -86165. 6006 What is 229515 divided by -1079? -17655/83 Calculate 48050352 divided by -15672. -3066 Divide 279480 by 30. 9316 Divide 214538334 by -107269167. -2 Divide 1635843400 by 3. 1635843400/3 Calculate -225853479 divided by 3. -75284493 Divide 14714 by 40. 7357/20 Calculate 2761497 divided by 134. 2761497/134 What is 10602116 divided by -553? -19172 What is 24 divided by -23389? -24/23389 Divide -991020 by 398. -2490 Divide -2629007 by 277. -9491 5 divided by 1235545 1/247109 -2484 divided by 2189 -2484/2189 Calculate -48878987 divided by -1. 48878987 Divide 30872000 by -320. -96475 Divide -7 by -613001. 7/613001 Calculate 1016 divided by 322041. 1016/322041 Divide -582830010 by 17829. -32690 Calculate 11656347 divided by -3885449. -3 -23828990 divided by 29 -23828990/29 -4272947 divided by -4753 899 What is -75939243 divided by 10447? -7269 What is 501 divided by 587661? 167/195887 What is -43435332 divided by -86? 505062 Calculate -586684712 divided by -194. 3024148 3591452 divided by -4 -897863 Calculate 201108 divided by 1497. 67036/499 4 divided by 6294978 2/3147489 126 divided by 4183007 126/4183007 Calculate 2945880 divided by -245490. -12 -177158275 divided by 15385 -11515 What is -9972402 divided by 151097? -66 What is -218 divided by -1212770? 109/606385 Calculate -2 divided by 2342852. -1/1171426 Divide 759 by 3631. 759/3631 What is -27 divided by 59319? -1/2197 -299289 divided by -1 299289 Divide -68445 by -1559. 68445/1559 Divide -153806302 by 751. -204802 What is 62784 divided by 2983? 62784/2983 Divide 2 by 139444815. 2/139444815 Calculate 27079 divided by -1709. -27079/1709 Divide -44542290 by 2. -22271145 What is -55142720 divided by -160? 344642 What is -5 divided by -105413827? 5/105413827 3056 divided by -4872 -382/609 5608 divided by 6919 56
{ "pile_set_name": "DM Mathematics" }
46 (base 9) to base 2. 100000001100111111101 What is a36d8 (base 15) in base 12? 20b888 101210 (base 9) to base 12 2a839 -101101000100101101101 (base 2) to base 7 -15361021 Convert -113302333213 (base 4) to base 5. -3044110213 1705b8 (base 13) to base 3 1002001221012 What is -12012 (base 12) in base 16? -5e8e Convert -33b881 (base 16) to base 4. -30323202001 Convert -1221201201221 (base 3) to base 9. -1851657 -1359551 (base 10) to base 7 -14361464 Convert 81898 (base 11) to base 6. 2321222 414d3a (base 14) to base 8 10317230 -56939b6 (base 12) to base 4 -333120223122 Convert 201120010012 (base 3) to base 4. 1131333212 16143 (base 11) to base 12 11237 Convert 705061 (base 11) to base 6. 40150211 What is 21312230312 (base 4) in base 15? 360685 -616631 (base 7) to base 8 -316221 Convert -c25b (base 15) to base 4. -22001030 d2215 (base 14) to base 7 4203125 Convert 3123433 (base 5) to base 11. 3596a Convert -20444100 (base 5) to base 12. -834a7 Convert 197557 (base 10) to base 11. 125478 12103352 (base 7) to base 3 2000201011202 What is -8027c (base 15) in base 10? -405567 What is -10110333 (base 4) in base 16? -453f 320044 (base 6) to base 15 7a4d What is 82289 (base 15) in base 16? 64aa9 202220102022 (base 3) to base 14 a9d41 199745 (base 12) to base 11 289712 What is -9bb4b (base 15) in base 9? -834368 Convert 56dc (base 16) to base 12. 10a50 -1135424252 (base 6) to base 12 -4385088 -a09a20 (base 11) to base 5 -403424341 Convert c437b (base 13) to base 5. 42232004 -5510a (base 12) to base 16 -1b75a Convert 490636 (base 12) to base 8. 4406212 -7ab23a (base 13) to base 6 -142204331 230003012 (base 4) to base 9 304438 -dc71 (base 16) to base 13 -1c8c0 What is -1a89177 (base 12) in base 5? -2421442404 What is 15a430 (base 12) in base 10? 370404 Convert -708d2d (base 14) to base 3. -21010111221210 Convert -101000100111000010 (base 2) to base 12. -80316 Convert dd42 (base 15) to base 6. 1000542 -35112322 (base 6) to base 8 -4102532 What is 1026a73 (base 12) in base 13? 825543 Convert -222049 (base 15) to base 7. -16553625 4164477 (base 8) to base 13 2ca5bb 57288 (base 9) to base 7 216140 What is 29c514 (base 14) in base 6? 51105330 6772a (base 13) to base 3 100112211122 What is -b57990 (base 12) in base 5? -1212314312 10b985 (base 12) to base 11 174311 463754 (base 11) to base 12 2b6585 10368737 (base 10) to base 3 201111210020022 What is -1002200110110 (base 3) in base 9? -1080413 -37386 (base 11) to base 9 -81583 -23310013 (base 4) to base 8 -136407 What is 2511683 (base 9) in base 6? 45135550 Convert -30aeab (base 16) to base 15. -4304b3 14011 (base 15) to base 8 175215 What is 110011111220 (base 3) in base 6? 5044423 What is -2db37c (base 16) in base 4? -23123031330 What is 202210001222222 (base 3) in base 8? 52101444 -52a9c8 (base 13) to base 9 -3572351 Convert -225321 (base 9) to base 4. -200333113 Convert -4121543 (base 10) to base 2. -1111101110001111000111 What is 34000114 (base 5) in base 13? a51b2 What is 231423143 (base 5) in base 9? 1863041 Convert 51446305 (base 8) to base 9. 22451087 Convert -20715288 (base 9) to base 8. -46067141 What is -154223255 (base 6) in base 9? -6155828 111111101100110 (base 2) to base 10 32614 What is 16047 (base 14) in base 3? 2210100221 What is 1010102202111000 (base 3) in base 4? 331230321102 What is -3979 (base 12) in base 15? -1e33 Convert -11000001110101011111 (base 2) to base 15. -10a3a1 Convert -602946 (base 12) to base 6. -52034130 Convert -2121036 (base 7) to base 13. -90147 What is -2231200221 (base 4) in base 15? -e089c Convert -124134 (base 11) to base 12. -9539b What is 587a8 (base 11) in base 9? 138312 What is -cb8b3 (base 15) in base 11? -401882 34861 (base 11) to base 4 30101222 Convert 34de6d (base 15) to base 9. 4672374 -739b5 (base 16) to base 4 -1303212311 223a96b (base 12) to base 9 13283532 Convert 25254317 (base 8) to base 6. 315514515 Convert -51451524 (base 6) to base 10. -1484332 Convert 12414432 (base 5) to base 11. 84555 -11200101000 (base 3) to base 7 -532404 -5175523 (base 10) to base 5 -2311104043 -94356 (base 13) to base 9 -445406 Convert -3541254 (base 6) to base 12. -8a82a What is -20442203 (base 5) in base 12? -83341 What is -10110011110111001101 (base 2) in base 14? -1526a9 Convert -14cc51 (base 16) to base 3. -2120020201102 34977 (base 11) to base 16 c4f4 11b6 (base 15) to base 9 5150 Convert -11334122 (base 5) to base 7. -616455 -2210102203 (base 4) to base 8 -2442243 Convert 1a2d8 (base 14) to base 3. 10101010200 Convert 101101022010 (base 3) to base 5. 23014324 What is -5363425 (base 7) in base 9? -1206487 What is -451543 (base 8) in base 7? -1203241 Convert 39929 (base 16) to base 11. 15119a Convert -6bc7c (base 14) to base 2. -1000000001111100110 Convert -10010011000011101010 (base 2) to base 14. -11972a 121002020212 (base 3) to base 10 316571 What is -a74ba6 (base 16) in base 8? -51645646 Convert -161328 (base 13) to base 16. -85275 Convert 240203313 (base 5) to base 12. 450a0a What is 2994c (base 13) in base 11? 53a66 -102212122101 (base 3) to base 6 -5002101 What is 1670335 (base 8) in base 10? 487645 What is 10023120 (base 4) in base 15? 510c What is -3112415 (base 6) in base 5? -14242002 What is -1001111100 (base 3) in base 9? -31440 -100022012100001 (base 3) to base 16 -4b71c2 3a696 (base 15) to base 12 90350 What is -376176 (base 9) in base 2? -110111100100001110 What is -203171 (base 8) in base 6? -1235025 What is 5793d1 (base 16) in base 4? 111321033101 Convert 2040b1 (base 12) to base 9. 848287 Convert -5a5a4 (base 13) to base 15. -341a4 Convert -116652 (base 8) to base 10. -40362 What is -131818 (base 11) in base 13? -73477 What is -10001000010010010100 (base 2) in base 6? -15544220 What is 222b22 (base 12) in base 15? ab3a2 What is 215970 (base 12) in base 7? 4330404 Convert 2311322 (base 6) to base 8. 347002 352612 (base 7) to base 10 63415 What is 107086 (base 13) in base 5? 44334112 What is 111011010111110101 (base 2) in base 7? 2032002 What is 12221111110220 (base 3) in base 2? 1100000011010001000001 What is 53442 (base 6) in base 11? 5535 What is 12120122200 (base 3) in base 11? 75573 203604 (base 7) to base 15 a546 27a1a8 (base 13) to base 7 11125541 Convert -876812 (base 10) to base 8. -3260414 Convert 1360174 (base 8) to base 6. 12131032 Convert 1202220 (base 10) to base 13. 331296 -12200031101 (base 4) to base 5 -414023120 What is -325b3 (base 14) in base 12? -5a641 531566 (base 7) to base 3 11200000202 Convert -25611 (base 12) to base 11. -35344 What is -1c737f (base 16) in base 10? -1864575 What is 260433 (base 9) in base 10? 157818 What is -134751 (base 9) in base 7? -461554 211121122201 (base 3) to base 5 103221133 What is 301233143 (base 6) in base 12? 18627b3 Convert 1461a2 (base 11) to base 3. 102120112022 bb8a0 (base 16) to base 2 10111011100010100000 What is -9a0c3a (base 15) in base 12? -2561784 What is 30423404 (base 5) in base 15? 4d9d9 Convert -4542104 (base 7) to base 11. -356523 What is -20221200001001 (base 3) in base 10? -3693871 Convert -2325100 (base 6) to base 8. -353034 Convert -1b1d8a (base 14) to base 10. -965814 Convert 4253000 (base 9) to base 4. 20230113012 What is -102210121021020 (base 3) in base 8? -27730115 1e25a5 (base 15) to base 10 1476155 What is -240331323 (base 5) in base 6? -35404421 -a3a0 (base 16) to base 11 -29520 Convert 2a13c7 (base 14) to base 5. 333311230 Convert -7b459 (base 15) to base 11. -248974 Convert 3003231102 (base 4) to base 10. 801618 42404333 (base 5) to base 14 9408b -13022045 (base 6) to base 12 -184925 What is 131978 (base 12) in base 8? 1145454 -32666115 (base 7) to base 16 -2b147e -a1281 (base 11) to base 7 -1154461 What is -15b2c7 (base 16) in base 15? -1d1518 What is -1b087 (base 14) in base 11? -476a2 Convert 12423422 (base 6) to base 10. 407750 Convert 3423004 (base 5) to base 7. 342566 What is 143c9bb (base 13) in base 9? 13073360 What is 22220221102 (base 3) in base 12? 85792 Convert b599c (base 14) to base 13. 1245b7 Convert 826105 (base 11) to base 8. 5035352 Convert -2b4b91b (base 12) to base 14. -1255727 What is -446522 (base 7) in base 10? -79151 Convert -230410222 (base 7) to base 15. -137dd34 Convert -19add0 (base 14) to base 13. -25cb97 Convert 20121220121 (base 3) to
{ "pile_set_name": "DM Mathematics" }
s 62 minutes before 4:09 AM? 3:07 AM How many minutes are there between 12:28 PM and 10:52 PM? 624 How many minutes are there between 8:40 AM and 11:33 AM? 173 What is 408 minutes after 8:04 AM? 2:52 PM How many minutes are there between 1:00 PM and 1:02 PM? 2 What is 327 minutes after 3:36 PM? 9:03 PM How many minutes are there between 7:30 AM and 7:42 AM? 12 What is 682 minutes before 12:31 PM? 1:09 AM How many minutes are there between 10:03 AM and 5:07 PM? 424 What is 235 minutes before 10:21 PM? 6:26 PM What is 480 minutes before 3:53 PM? 7:53 AM How many minutes are there between 10:48 PM and 6:14 AM? 446 What is 325 minutes before 3:10 AM? 9:45 PM How many minutes are there between 12:18 PM and 5:07 PM? 289 How many minutes are there between 8:54 PM and 4:20 AM? 446 What is 399 minutes before 11:24 PM? 4:45 PM How many minutes are there between 5:52 PM and 4:49 AM? 657 How many minutes are there between 8:56 PM and 10:28 PM? 92 What is 618 minutes before 4:17 PM? 5:59 AM What is 238 minutes after 2:46 AM? 6:44 AM How many minutes are there between 4:45 AM and 4:49 AM? 4 What is 184 minutes before 5:03 PM? 1:59 PM What is 10 minutes after 9:25 AM? 9:35 AM What is 237 minutes after 6:31 PM? 10:28 PM How many minutes are there between 11:23 AM and 1:20 PM? 117 How many minutes are there between 8:11 AM and 9:00 AM? 49 How many minutes are there between 1:44 PM and 4:29 PM? 165 How many minutes are there between 10:41 AM and 12:48 PM? 127 What is 253 minutes before 5:14 AM? 1:01 AM What is 663 minutes before 4:13 AM? 5:10 PM What is 291 minutes after 5:34 PM? 10:25 PM How many minutes are there between 7:18 AM and 7:12 PM? 714 What is 631 minutes after 12:50 AM? 11:21 AM How many minutes are there between 3:36 PM and 11:28 PM? 472 What is 564 minutes after 7:04 AM? 4:28 PM How many minutes are there between 10:56 PM and 4:05 AM? 309 What is 589 minutes before 11:35 PM? 1:46 PM What is 328 minutes before 1:49 AM? 8:21 PM How many minutes are there between 11:51 PM and 4:15 AM? 264 What is 160 minutes before 10:11 AM? 7:31 AM What is 595 minutes before 11:39 PM? 1:44 PM What is 195 minutes after 3:20 PM? 6:35 PM What is 445 minutes after 6:34 PM? 1:59 AM What is 126 minutes before 6:42 AM? 4:36 AM How many minutes are there between 11:42 AM and 5:42 PM? 360 What is 96 minutes after 1:09 AM? 2:45 AM How many minutes are there between 11:23 AM and 8:47 PM? 564 What is 137 minutes after 5:32 AM? 7:49 AM How many minutes are there between 5:44 PM and 1:08 AM? 444 How many minutes are there between 6:55 PM and 11:55 PM? 300 What is 488 minutes after 6:29 PM? 2:37 AM What is 310 minutes before 9:20 AM? 4:10 AM How many minutes are there between 11:01 AM and 10:40 PM? 699 How many minutes are there between 10:16 PM and 11:07 PM? 51 How many minutes are there between 4:13 AM and 6:35 AM? 142 How many minutes are there between 9:23 PM and 12:37 AM? 194 What is 432 minutes after 5:17 PM? 12:29 AM How many minutes are there between 7:39 PM and 4:07 AM? 508 What is 77 minutes after 8:36 PM? 9:53 PM What is 127 minutes before 5:29 AM? 3:22 AM How many minutes are there between 1:57 AM and 3:34 AM? 97 How many minutes are there between 6:38 PM and 5:56 AM? 678 How many minutes are there between 1:50 AM and 1:05 PM? 675 How many minutes are there between 1:05 PM and 12:51 AM? 706 What is 672 minutes after 12:49 PM? 12:01 AM How many minutes are there between 3:09 AM and 12:39 PM? 570 How many minutes are there between 9:34 PM and 2:43 AM? 309 What is 530 minutes before 9:12 AM? 12:22 AM How many minutes are there between 2:52 AM and 2:21 PM? 689 What is 480 minutes after 6:48 PM? 2:48 AM What is 677 minutes after 11:12 PM? 10:29 AM What is 90 minutes before 7:23 PM? 5:53 PM What is 458 minutes before 1:30 PM? 5:52 AM How many minutes are there between 4:40 AM and 2:24 PM? 584 What is 295 minutes after 3:12 AM? 8:07 AM How many minutes are there between 8:01 AM and 6:19 PM? 618 How many minutes are there between 11:51 PM and 11:16 AM? 685 What is 564 minutes before 4:56 AM? 7:32 PM How many minutes are there between 9:17 PM and 5:33 AM? 496 How many minutes are there between 12:05 AM and 4:19 AM? 254 How many minutes are there between 2:25 PM and 4:07 PM? 102 How many minutes are there between 9:16 PM and 5:27 AM? 491 What is 127 minutes before 6:01 PM? 3:54 PM What is 568 minutes before 1:46 AM? 4:18 PM What is 265 minutes before 11:21 PM? 6:56 PM What is 246 minutes after 3:28 PM? 7:34 PM What is 459 minutes after 8:27 PM? 4:06 AM What is 324 minutes after 4:22 AM? 9:46 AM What is 388 minutes before 12:13 PM? 5:45 AM How many minutes are there between 2:25 PM and 4:49 PM? 144 How many minutes are there between 7:17 AM and 9:56 AM? 159 What is 454 minutes before 11:17 PM? 3:43 PM What is 504 minutes after 9:11 PM? 5:35 AM What is 398 minutes after 12:42 PM? 7:20 PM What is 520 minutes before 12:00 AM? 3:20 PM What is 170 minutes before 7:49 PM? 4:59 PM What is 155 minutes before 5:13 PM? 2:38 PM How many minutes are there between 8:20 AM and 6:05 PM? 585 How many minutes are there between 9:06 PM and 3:48 AM? 402 How many minutes are there between 9:00 AM and 2:13 PM? 313 How many minutes are there between 10:58 PM and 4:58 AM? 360 How many minutes are there between 11:24 AM and 6:12 PM? 408 What is 325 minutes before 6:01 PM? 12:36 PM What is 293 minutes before 11:14 AM? 6:21 AM How many minutes are there between 2:01 PM and 10:59 PM? 538 How many minutes are there between 11:59 PM and 7:47 AM? 468 What is 466 minutes before 12:07 AM? 4:21 PM How many minutes are there between 12:02 AM and 4:28 AM? 266 How many minutes are there between 9:36 PM and 2:59 AM? 323 What is 323 minutes before 4:28 PM? 11:05 AM What is 646 minutes after 8:38 PM? 7:24 AM What is 496 minutes before 11:52 PM? 3:36 PM What is 538 minutes before 8:41 AM? 11:43 PM What is 101 minutes after 10:54 AM? 12:35 PM What is 270 minutes after 12:16 PM? 4:46 PM What is 53 minutes before 6:58 PM? 6:05 PM How many minutes are there between 4:37 AM and 6:06 AM? 89 What is 313 minutes after 6:30 PM? 11:43 PM What is 266 minutes before 2:00 PM? 9:34 AM How many minutes are there between 2:28 PM and 7:37 PM? 309 What is 408 minutes before 7:42 AM? 12:54 AM What is 605 minutes after 12:02 AM? 10:07 AM How many minutes are there between 1:29 AM and 4:53 AM? 204 What is 355 minutes before 3:25 AM? 9:30 PM What is 145 minutes before 3:04 PM? 12:39 PM What is 481 minutes after 7:53 PM? 3:54 AM How many minutes are there between 5:38 AM and 1:32 PM? 474 How many minutes are there between 8:36 PM and 12:00 AM? 204 How many minutes are there between 11:44 PM and 7:55 AM? 491 How many minutes are there between 9:53 PM and 3:25 AM? 332 How many minutes are there between 11:43 PM and 11:00 AM? 677 What is 502 minutes before 5:14 PM? 8:52 AM How many minutes are there between 12:06 AM and 1:28 AM? 82 What is 144 minutes after 2:20 PM? 4:44 PM What is 53 minutes after 2:30 PM? 3:23 PM How many minutes are there between 7:26 PM and 5:38 AM? 612 What is 191 minutes before 1:56 PM? 10:45 AM What is 482 minutes after 3:54 PM? 11:56 PM How many minutes are there between 5:51 PM and 9:05 PM? 194 How many minutes are there between 3:44 AM and 3:30 PM? 706 What is 525 minutes after 1:53 PM? 10:38 PM What is 170 minutes before 1:45 PM? 10:55 AM How many minutes are there between 6:57 AM and 8:48 AM? 111 What is 572 minutes after 8:08 AM? 5:40 PM How many minutes are there between 5:21 PM and 5:07 AM? 706 What is 175 minutes after 7:51 PM? 10:46 PM What is 90 minutes before 10:46 AM? 9:16 AM What is 700 minutes after 4:05 PM? 3:45 AM What is 687 minutes after 8:41 PM? 8:08 AM How many minutes are there between 7:36 PM and 2:10 AM? 394 What is 466 minutes after 11:55 AM? 7:41 PM How many minutes are there between 9:01 PM and 2:01 AM? 300 How many minutes are there between 6:36 AM and 2:36 PM? 480 How many minutes are there between 2:18 PM and 11:37 PM? 559 What is 611 minutes before 11:53 PM? 1:42 PM What is 560 minutes after 7:26 PM? 4:46 AM What is 582 minutes after 6:36 AM? 4:18 PM What is 472 minutes after 11:50 AM? 7:42 PM How many minutes are there between 12:14 PM and 9:27 PM? 553 What is 39 minutes before 6:28
{ "pile_set_name": "DM Mathematics" }
u + 153. Give y(-4). -27 Let y(f) = -f**3 - 16*f**2 + 85*f + 1359. What is y(-16)? -1 Let x(s) = -5*s**2 - 135*s + 51. Give x(-29). -239 Let q(j) = j**3 - 8*j**2 + 14*j - 11. What is q(5)? -16 Let j(u) = -2*u**2 + 218*u - 269. Give j(108). -53 Let a(l) = 25480*l + 127394. Calculate a(-5). -6 Let o(f) = -f**2 + 87*f - 335. Calculate o(4). -3 Let m(x) = -x**3 + 19*x**2 - 215*x + 6168. Give m(22). -14 Let y(w) = 7*w**3 + 6*w**2 + 2*w - 9. Determine y(2). 75 Let p(d) = -1767*d - 7077. What is p(-4)? -9 Let i(s) = -10488*s + 62913. Determine i(6). -15 Let h(o) = 5*o**2 - 121*o + 727. What is h(11)? 1 Let z(s) = 745*s - 738. Determine z(1). 7 Let m(y) = 7*y**2 + 73*y - 17. Calculate m(-7). -185 Let a(w) = 2*w**3 - 15*w**2 + 24*w - 21. What is a(9)? 438 Let u(o) = -8*o**2 - 10*o - 43. What is u(-5)? -193 Let y(m) = -2212*m + 17695. What is y(8)? -1 Let g(t) = -1277*t - 1193. Calculate g(-1). 84 Let t(h) = h**2 - 854*h - 22876. Calculate t(-26). 4 Let a(x) = x**3 + 10*x**2 - 59*x - 504. Calculate a(-6). -6 Let i(w) = 4*w**2 - 51*w + 46. What is i(0)? 46 Let u(q) = q**3 - 19*q**2 + 63*q - 24. What is u(15)? 21 Let g(l) = 2*l**2 - 27*l - 6. Calculate g(-3). 93 Let g(k) = 422*k**2 - 1673*k + 17. Determine g(4). 77 Let m(i) = i**2 + 191*i + 1644. Calculate m(-9). 6 Let v(o) = 121*o + 289. Determine v(-4). -195 Let q(y) = -y**2 - 4721*y + 42572. Calculate q(9). 2 Let b(w) = 3*w**2 + 97*w - 744. Calculate b(7). 82 Let i(x) = 2*x**3 + 9*x**2 - 6*x - 43. Calculate i(-6). -115 Let b(k) = -5*k + 483. Determine b(67). 148 Let o(b) = -26*b**3 + 78*b**2 + 45*b - 136. Calculate o(3). -1 Let c(z) = -z**2 - 34*z - 28. Determine c(-38). -180 Let j(i) = 199*i + 625. Determine j(-3). 28 Let n(y) = 8*y**2 + 612*y + 7193. Give n(-62). 1 Let m(l) = -26*l - 249. Calculate m(-9). -15 Let w(f) = -1384*f + 8301. Calculate w(6). -3 Let m(g) = -13*g**2 - 17*g + 66. Calculate m(4). -210 Let r(z) = 28*z - 806. Determine r(29). 6 Let h(m) = 949*m + 3807. What is h(-4)? 11 Let s(y) = y**3 + 7*y**2 - 4269*y - 25635. Give s(-6). 15 Let g(f) = 38*f + 276. Determine g(-8). -28 Let x(s) = -2*s**2 + 126*s - 1881. What is x(39)? -9 Let a(j) = -6*j**2 + 105*j - 6. What is a(13)? 345 Let t(z) = -z**3 - 20*z**2 - 5*z + 8. Give t(-20). 108 Let b(t) = t**3 + 7*t**2 - 9*t - 5. Give b(-7). 58 Let i(j) = 219*j + 10509. Calculate i(-48). -3 Let r(k) = -45*k - 183. Calculate r(-5). 42 Let r(x) = -246*x - 1739. Calculate r(-7). -17 Let n(x) = -3*x**3 + 60*x**2 + 66*x - 67. What is n(21)? -4 Let c(d) = -68*d + 215. What is c(2)? 79 Let i(v) = v**3 + 370*v**2 - 1892*v - 6368. Determine i(-375). 7 Let r(f) = -f**3 - 94*f**2 - 1051*f - 46. Calculate r(-81). -208 Let f(b) = -566*b + 3396. What is f(6)? 0 Let s(b) = -26*b**3 - 3*b**2 - 5*b + 3. Give s(-2). 209 Let a(i) = 164*i + 463. Calculate a(-3). -29 Let d(y) = -250*y + 134. Calculate d(1). -116 Let q(t) = 5*t**3 - 6*t**2 - t + 21. Determine q(3). 99 Let z(o) = -o**2 - 24*o - 142. Give z(-15). -7 Let z(j) = -134*j + 361. Calculate z(3). -41 Let x(z) = 70*z - 2862. Determine x(41). 8 Let n(g) = -7*g**3 - 70*g**2 + 4*g + 5. Determine n(-10). -35 Let b(p) = -31*p - 2233. Give b(-72). -1 Let g(i) = 121*i**2 - 242*i - 7. What is g(2)? -7 Let x(y) = 4*y**3 - 31*y**2 + 32*y - 4. Give x(6). -64 Let n(y) = -62*y - 2907. Calculate n(-47). 7 Let w(x) = -2*x - 14. Determine w(-7). 0 Let n(l) = l**3 - 16*l**2 + 144*l - 1402. Determine n(13). -37 Let w(h) = -h**2 - 35*h - 199. Calculate w(-9). 35 Let u(c) = 44*c - 2109. Determine u(48). 3 Let o(f) = 2*f**3 - 59*f**2 - 10*f - 636. What is o(30)? -36 Let h(n) = -4*n**3 + 11*n**2 - 79*n + 527. What is h(7)? -859 Let y(l) = -l**3 + 33*l**2 - 155*l - 184. Give y(27). 5 Let n(t) = -3*t**2 + 52*t - 217. Determine n(7). 0 Let g(l) = -3*l - 11. What is g(-18)? 43 Let f(x) = 2041*x + 281662. What is f(-138)? 4 Let l(s) = 27*s - 250. Give l(6). -88 Let a(k) = 122*k - 1226. Calculate a(10). -6 Let y(s) = 2378*s - 18954. Give y(8). 70 Let n(x) = -35*x + 1084. Determine n(31). -1 Let z(k) = 6*k**2 - 32*k + 118. Calculate z(7). 188 Let t(y) = 61*y + 1792. Calculate t(-29). 23 Let m(o) = -o**3 - 20*o**2 - 20*o - 12. Calculate m(-19). 7 Let x(m) = 73*m**2 + 557*m + 3. What is x(-8)? 219 Let x(a) = 2*a**3 + 170*a**2 + 176*a + 675. Determine x(-84). 3 Let z(g) = -3415*g - 6806. What is z(-2)? 24 Let o(r) = -r**3 - 29*r**2 - 21*r + 45. Calculate o(-28). -151 Let l(m) = 560*m - 3885. Give l(7). 35 Let d(a) = 2*a**3 + 4*a**2 - 11*a + 18. Calculate d(-6). -204 Let a(v) = -102*v**2 - 5*v + 6. Give a(1). -101 Let y(o) = -17*o**2 + o - 24. Give y(3). -174 Let t(o) = 2*o**2 - 13*o + 37. Determine t(2). 19 Let q(g) = 14*g**2 + 221*g - 58. Give q(-16). -10 Let q(l) = -648*l**3 + l**2 - 8*l - 7. Give q(-1). 650 Let r(o) = -6*o**2 + 36*o - 14. Calculate r(7). -56 Let j(f) = -6*f**2 + 161*f - 433. What is j(3)? -4 Let d(x) = -34*x - 34. What is d(3)? -136 Let k(a) = -44*a - 605. Determine k(-12). -77 Let s(d) = -d**3 + 9*d**2 + 13*d + 17. Calculate s(10). 47 Let r(u) = -108*u - 13033. Determine r(-121). 35 Let i(u) = -127*u + 20694. What is i(163)? -7 Let i(j) = 12*j**2 + 30*j + 25. What is i(-3)? 43 Let s(p) = -p**3 - 3*p**2 - 3*p + 18. Determine s(-3). 27 Let o(r) = r**3 + r**2 - 91*r + 295. Determine o(6). 1 Let l(x) = x**2 - 33*x + 222. Determine l(22). -20 Let o(x) = -x**3 - 13*x**2 + 18*x - 11. Calculate o(-15). 169 Let m(t) = t**2 + 706*t - 5017. What is m(7)? -26 Let t(x) = -5*x**2 - 256*x - 56. Give t(-50). 244 Let t(q) = -2*q**3 - 29*q**2 + 279*q + 105. What is t(-21)? -21 Let j(g) = -2*g**3 + 11*g**2 + 31*g - 225. Give j(5). -45 Let k(g) = -g**3 - 7*g**2 - 7*g + 31. Give k(-8). 151 Let f(l) = l**3 - 4*l**2 - 56*l + 240. Give f(5). -15 Let b(z) = -12*z**2 + 20*z - 9. What is b(2)? -17 Let n(j) = -j**3 - 11*j**2 - 107*j - 978. Calculate n(-9). -177 Let l(o) = 1388*o - 11109. Calculate l(8). -5 Let v(h) = 2148*h - 4315. Calculate v(2). -19 Let v(y) = -y**2 - 77*y + 639. Determine v(-87). -231 Let o(h) = -10*h**3 - 2*h**2 + 11*h + 12. Calculate o(-1). 9 Let d(q) = q**2 - 18*q - 329. Determine d(-11). -10 Let d(f) = 153*f - 1687. Calculate d(10). -157 Let k(f) = -3*f - 55. Give k(-9). -28 Let n(w) = 4*w + 191. Give n(-6). 167 Let n(d) = -d**3 + 16*d**2 + 3*d + 7. Calculate n(16). 55 Let y(c) = c**3 - 10*c**2 + 11*c + 84. What is y(6)? 6 Let w(l) = -2*l**3 + 7*l**2 - 30*l + 81. Give w(3). 0 Let z(u) = u**3 + 19*u**2 - 72. What is z(-18)? 252 Let l(m) = 901*m + 29737. What is l(-33)? 4 Let u(g) = -g**2 - 30*g + 779. What is u(17)? -20 Let u(f) = -31*f + 14. Give u(0). 14 Let h(k) = -11071*k + 44296. Calculate h(4). 12 Let y(l) = -350*l - 13. What is y(0)? -13 Let h(a) = -13*a + 612. What is h(47)? 1 Let m(g) = 6*g**2 - 78*g - 75. What is m(14)? 9 Let x(i) = -856*i - 1724. What is x(-2)? -12 Let h(j) = -662*j + 660. Calculate h(1). -2 Let o(f) = -2*f**2 + 34*f - 40. What is o(20)? -160 Let g(z) = z**3 + 19*z**2 + 79*z + 13. Calculate g(-14). -113 Let l(k) = -3*k**3 + 20*k**2 - 4*k - 15. Give l(7). -92 Let g(c) = c**3 - 61*c**2 + 118*c - 23. Give g(59). -23 Let r(u) = -334*u + 3676. Give r(11). 2 Let f(n) = -34*n + 188. What is f(5)? 18 Let c(q) = q**2 + 2*q - 69. What is c(-8)? -21 Let b(i) = 5*i**2 - 70*i + 196. Calculate b(10). -4 Let k(g) = -2*g**3 - 8*g**2 - 14*g - 10. Determine k(-2). 2 Let a(b) = -565*b - 3639. Calculate a(-7). 316 Let w(r) = r**3 - 7*r**2 - 19*r + 29. What is w(8)? -59 Let x(k) = 34*k**2 + 25*k + 52. Calculate x(-2). 138 Let a(z) = 28*z**2 - 53*z - 95. Determine a(3). -2 Let u(l) = -4*l**2 + 220*l - 813. Calculate u(4). 3 Let l(q) = 39*q - 137. Calculate l(5). 58 Let a(o) = -3*o**2 + 131*o + 872. Give a(50). -78 Let r(v) = -76*v + 623. Calculate r(8). 15 Let m(u) = -2*u**2 + 4*u + 28. What is m(0)? 28 Let m(n) = 254*n + 30757. Determine m(-121). 23 Let g(j) = -j**2 + 42*j - 241. Give g(20). 199 Let j(a) = -18*a**3 - 3*a**2 - 13*a - 9. Calculate j(-1). 19 Let z(l) = -172*l + 24944. What is z(145)? 4 Let b(v) = 9*v + 310. Give b(-28). 58 Let f(a) = 56*a + 24. Calculate f(-14). -760 Let c(n) = n**2 - 4*n - 27. Determine c(-3). -6 Let d(t) = -t**2 + 23*t + 694. Calculate d(-17). 14 Let b(m) = -49*m - 156. Determine b(-4). 40 Let i(r) = -r**2 + 46*r - 512. Calculate i(29). -19 Let x(b) = -2*b + 173. Calculate x(69). 35 L
{ "pile_set_name": "DM Mathematics" }
replacement from {s: 9, u: 3, p: 7}? 9/323 Four letters picked without replacement from {k: 2, q: 6, v: 4, m: 3, e: 3}. Give prob of picking 1 k, 2 v, and 1 e. 1/85 What is prob of picking 2 t when two letters picked without replacement from {g: 1, t: 2, q: 1, v: 2, p: 2, k: 1}? 1/36 Two letters picked without replacement from qqqqbqqqqqqbqqbq. Give prob of picking 2 q. 13/20 What is prob of picking 1 k and 2 x when three letters picked without replacement from xxjxkuxqkxeek? 15/143 Four letters picked without replacement from jfjjh. Give prob of picking 1 h, 1 f, and 2 j. 3/5 Calculate prob of picking 2 e when two letters picked without replacement from elvelllu. 1/28 Calculate prob of picking 3 q when three letters picked without replacement from qlqljjjffuquj. 1/286 Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeee. 1 Three letters picked without replacement from yezeuzgzyeezjzu. What is prob of picking 2 e and 1 z? 6/91 Four letters picked without replacement from {o: 5, i: 1, v: 1, w: 6, e: 1}. Give prob of picking 1 e, 2 w, and 1 i. 15/1001 Three letters picked without replacement from qcccqqqwcqqwqqqcwf. Give prob of picking 1 q and 2 w. 9/272 Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {f: 2, e: 2, z: 1, c: 1}. 2/15 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from errzzrzrrrzrerir. 1/60 What is prob of picking 2 w and 2 d when four letters picked without replacement from {w: 2, e: 8, d: 4}? 6/1001 Four letters picked without replacement from hkkkzjzkjh. What is prob of picking 2 z, 1 h, and 1 j? 2/105 Calculate prob of picking 1 i, 1 g, and 2 f when four letters picked without replacement from igfgiigif. 2/21 Two letters picked without replacement from {n: 3, u: 5, v: 1}. What is prob of picking 1 v and 1 n? 1/12 Three letters picked without replacement from {e: 4, a: 1, b: 3, f: 6}. What is prob of picking 1 b, 1 f, and 1 a? 9/182 Four letters picked without replacement from aooooooooooooooooooo. What is prob of picking 3 o and 1 a? 1/5 Calculate prob of picking 1 c, 1 k, and 1 y when three letters picked without replacement from ycykyyskkyys. 9/110 What is prob of picking 2 q and 2 b when four letters picked without replacement from dqlbdlqdbqlllllllqq? 5/1938 What is prob of picking 1 f, 1 y, and 2 d when four letters picked without replacement from ffbbfdffbbbftdybb? 3/1190 Three letters picked without replacement from {h: 5, i: 6, x: 3, l: 2, b: 2}. Give prob of picking 2 i and 1 b. 5/136 Two letters picked without replacement from {p: 2, b: 1, e: 3, k: 1, o: 1, x: 3}. What is prob of picking 1 b and 1 e? 3/55 Two letters picked without replacement from zczjcccccccj. Give prob of picking 1 z and 1 c. 8/33 What is prob of picking 1 q, 1 g, and 1 z when three letters picked without replacement from zggqgzqzqqz? 16/55 Four letters picked without replacement from pyqyrger. What is prob of picking 1 g, 1 e, and 2 r? 1/70 What is prob of picking 1 j and 1 p when two letters picked without replacement from {m: 1, p: 3, v: 1, j: 1, f: 1}? 1/7 Two letters picked without replacement from {t: 2, w: 1, h: 1}. What is prob of picking 1 t and 1 w? 1/3 Two letters picked without replacement from {t: 11, c: 1}. Give prob of picking 2 c. 0 Three letters picked without replacement from nlzjzszlsnzsjwwzz. What is prob of picking 1 n, 1 w, and 1 z? 3/85 Four letters picked without replacement from oeyttytyytoyayeaoey. What is prob of picking 1 a, 2 o, and 1 t? 2/323 Two letters picked without replacement from ahhrrzrarhh. What is prob of picking 1 h and 1 a? 8/55 Two letters picked without replacement from bbabbbbaanbbnbabbbnb. What is prob of picking 1 n and 1 b? 39/190 What is prob of picking 1 b and 1 a when two letters picked without replacement from bbbaaababbbbabbbab? 8/17 Three letters picked without replacement from {l: 3}. Give prob of picking 3 l. 1 Two letters picked without replacement from {i: 1, x: 1, a: 2}. What is prob of picking 1 a and 1 x? 1/3 What is prob of picking 1 k and 1 t when two letters picked without replacement from etezzzztetztzkktztt? 14/171 Calculate prob of picking 2 d when two letters picked without replacement from {f: 5, d: 3, b: 2, u: 2, y: 3}. 1/35 Four letters picked without replacement from {j: 2, l: 2, w: 4, h: 2, g: 2, m: 2}. What is prob of picking 1 l, 1 j, 1 g, and 1 m? 16/1001 Three letters picked without replacement from nnnnnnnnnnnnnnnnnnni. What is prob of picking 3 n? 17/20 What is prob of picking 1 d and 2 f when three letters picked without replacement from {g: 1, d: 3, f: 2, b: 2, j: 2, t: 2}? 3/220 Four letters picked without replacement from hnhlhnwnhnhnnwnhhn. Give prob of picking 1 n, 1 l, and 2 w. 2/765 What is prob of picking 1 j and 1 u when two letters picked without replacement from {s: 4, j: 1, m: 2, f: 2, u: 7}? 7/120 Two letters picked without replacement from {r: 1, z: 6, e: 4}. What is prob of picking 1 e and 1 z? 24/55 Calculate prob of picking 3 s and 1 b when four letters picked without replacement from {b: 13, s: 6}. 65/969 What is prob of picking 3 o when three letters picked without replacement from oooaaauouaououaouuu? 35/969 Four letters picked without replacement from bbmmpmmmmmaamppmmbmm. Give prob of picking 2 b and 2 m. 66/1615 Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {c: 6, k: 4, e: 3}. 30/143 Calculate prob of picking 1 h and 1 d when two letters picked without replacement from dyhjdhyz. 1/7 Four letters picked without replacement from {u: 11, t: 3}. What is prob of picking 1 t and 3 u? 45/91 Three letters picked without replacement from {v: 3, c: 1, h: 4, r: 2, u: 2}. What is prob of picking 2 r and 1 h? 1/55 What is prob of picking 4 s when four letters picked without replacement from {s: 10}? 1 Two letters picked without replacement from hzglp. What is prob of picking 1 g and 1 h? 1/10 What is prob of picking 1 k and 1 n when two letters picked without replacement from {k: 4, c: 4, n: 1, q: 7, u: 3}? 4/171 Four letters picked without replacement from {b: 1, v: 17}. Give prob of picking 4 v. 7/9 Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hllllllllllhxhll. 3/10 What is prob of picking 1 d and 1 o when two letters picked without replacement from uuudouuoujnndvu? 4/105 Two letters picked without replacement from zmmzzzym. Give prob of picking 2 m. 3/28 Calculate prob of picking 2 r when two letters picked without replacement from rrrrrr. 1 What is prob of picking 1 q and 1 y when two letters picked without replacement from qyywwwwyyyywwyeyy? 9/136 What is prob of picking 2 u when two letters picked without replacement from yzywuzyygywgu? 1/78 Two letters picked without replacement from {c: 3, u: 1}. Give prob of picking 1 u and 1 c. 1/2 Two letters picked without replacement from {g: 2, j: 3, v: 4}. Give prob of picking 1 g and 1 j. 1/6 Two letters picked without replacement from {m: 7, f: 3}. Give prob of picking 1 m and 1 f. 7/15 Two letters picked without replacement from {y: 1, i: 2, v: 7, s: 10}. Give prob of picking 2 i. 1/190 Two letters picked without replacement from {j: 12, i: 1, z: 2, c: 2, x: 3}. Give prob of picking 2 z. 1/190 Two letters picked without replacement from yyybbkkbkbykykk. Give prob of picking 1 b and 1 y. 4/21 Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {k: 5, q: 1, w: 3, h: 3, l: 4, p: 4}. 1/38 What is prob of picking 1 i, 1 b, and 1 v when three letters picked without replacement from bwmmviq? 1/35 Calculate prob of picking 3 f when three letters picked without replacement from fxxdjffxzxxf. 1/55 Four letters picked without replacement from {m: 6, f: 3, h: 3, y: 3}. What is prob of picking 3 f and 1 h? 1/455 What is prob of picking 1 t and 1 s when two letters picked without replacement from btrbasbb? 1/28 What is prob of picking 1 t and 1 f when two letters picked without replacement from fxnntnxnff? 1/15 Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {r: 4, h: 2, b: 2, c: 1, y: 1}. 2/45 Calculate prob of picking 1 o and 2 k when three letters
{ "pile_set_name": "DM Mathematics" }
). What is the smallest value in 1/12, t, 4? t Let m = -65 + 30. Let j = m - -34.7. What is the second biggest value in -5, -2/9, j? j Suppose -2*n + 0 + 4 = 0. Suppose 0 = 2*i - 4*f - 12, -3*f + 16 = -4*i - 5*f. Which is the biggest value? (a) -0.4 (b) n (c) i b Let p(m) = -m**3 - 8*m**2 + m + 7. Let k be p(-8). Which is the second smallest value? (a) 0.3 (b) k (c) -5/3 (d) -0.4 b Let g = -217/15 + 41896/2895. Let f be (-3494)/3860 - (-2)/4. Let l = f + g. What is the second biggest value in l, 0.3, -1? l Let i = 11 - 23.8. Let x = -11.6 - i. Let m = -2.3 - -2. Which is the second biggest value? (a) 5 (b) x (c) m b Suppose 5*o = o, -5*y + 5*o - 10 = 0. Let m be ((-36)/10)/(13/(-195)). Suppose 18*u + m = -0*u. Which is the second biggest value? (a) 1/2 (b) y (c) u b Let j = 179 + 78. Suppose -4*f + j = 61. Let v = f - 489/10. Which is the biggest value? (a) 1.2 (b) -4 (c) v a Let y = 222.821 + -223. Let g = y - -0.089. What is the third biggest value in -4, 0.5, g? -4 Let w be (-9)/(-21) + (-2)/14. Which is the third smallest value? (a) -0.4 (b) 36 (c) w b Let w = -644 - -645. Which is the second biggest value? (a) 0.1 (b) w (c) -44 (d) -1/2 a Let k = 62/85 + -9/17. Which is the second smallest value? (a) 1/4 (b) k (c) -1 (d) -2/15 d Suppose g + 3*f - 1 = -0, 0 = 4*g - 5*f - 21. What is the third biggest value in g, -0.6, 1/2, 0.3? 0.3 Let h = 0.497 - 3.497. What is the fourth biggest value in 1/3, -0.03, -1/4, h? h Let b = -958 + 959. What is the biggest value in -0.4, b, -0.1, 2/13? b Let x = -0.24 + -0.06. What is the second biggest value in x, 1.6, -4? x Let m = -3 + -1. Let v = 1.4 - 1.6. Let n be (-1)/2 - (-2)/(-4 + 12). Which is the third smallest value? (a) n (b) m (c) v c Let u = -994 + 991. What is the third biggest value in 8, u, 2/21? u Let f = -877.8 - -881.8. Let w = 0.1 - -2.9. Which is the fourth biggest value? (a) -4 (b) 7 (c) f (d) w a Suppose -4*x + 123 = -61. Let i = 42 - x. Which is the second smallest value? (a) i (b) -13 (c) 4 a Let m = -646 - -644. Which is the second smallest value? (a) 0.04 (b) 5 (c) 1 (d) m a Let k = -97.041 - -97. Let l = k - 0.159. Suppose 5*n + 12 = n. Which is the second biggest value? (a) l (b) 4 (c) n a Let i = 0.36 + 16.64. Let y = i - 17.5. What is the second biggest value in 2, y, -4? y Let k be (825/(-135))/((-2)/(-48)). Let y = k - -148. Which is the second smallest value? (a) y (b) 17 (c) -0.2 a Let p = 0.65 + -2.85. Let j = -1.2 + 4. Let d = p - j. Which is the second biggest value? (a) 0 (b) d (c) -2 c Let m = 2 - 3. Suppose 0 = -o - 3*o + 5*j + 46, 0 = -4*o - 2*j + 4. What is the second biggest value in o, 0, m? 0 Let l = 64 + -19. Let z = l - 1441/32. Let x = z + -55/288. What is the second biggest value in x, -0.5, 0.3? x Suppose -39*k + 120 = 5*a - 41*k, -a - 3 = 5*k. What is the biggest value in 5, a, 0.2? a Let s(n) = n**2 - 7*n - 14. Let z be s(9). Suppose 0 = -z*p + 3*p + 4. Let t = 0.2 - 0.3. What is the third smallest value in t, p, -0.4? p Let f(b) = b**2 - 30*b + 171. Let t be f(9). What is the biggest value in -0.1, 0.3, t, 1? 1 Let l be ((-10)/4 + 2)*172. Let f = l + 97. Which is the second smallest value? (a) f (b) -1/6 (c) 1/5 c Let r = -3863/9 - -429. Let n = -5 + 2. Which is the biggest value? (a) -3/5 (b) r (c) n b Let g = -1.03 + 0.53. Which is the third smallest value? (a) g (b) 5 (c) -2/11 (d) -4 c Let v be ((-2)/3)/((-10)/6). Let i = 515/4 + -2579/20. What is the second biggest value in v, i, -8? i Suppose l - 3*k - 13 = 3, -26 = -l + 5*k. What is the second biggest value in -1/8, l, -13? -1/8 Let d = 0.2 + -0.6. Let s = 2.0756 - 0.0756. Which is the third biggest value? (a) -8/3 (b) s (c) d a Let l = 4 + -3.6. Let r be 0 - 6 - 144/(-27). What is the biggest value in l, 1, r? 1 Suppose -8716 = 4*k - 0*k + 3*f, 5*k + 4*f + 10894 = 0. Let t = k + 783336/359. Let y = 684/6103 - t. Which is the smallest value? (a) y (b) 17 (c) 0.4 a Let h = 27.72 - 10.72. Which is the second biggest value? (a) 6 (b) h (c) -1/2 a Let z = -0.1133 - -0.6133. Let m = 475/7 - 68. Which is the biggest value? (a) 2 (b) m (c) z (d) -0.4 a Let x(c) = c**3 - c**2 + c + 2. Let d be x(-1). Let n be ((d - -3)/(-4))/((-35)/(-14)). What is the third biggest value in n, -2/5, 1? -2/5 Let l be (-13 - -10)*(4/18)/2. Let y(i) = i**2 + 10*i + 14. Let k be y(-10). Let d = 9 - k. What is the biggest value in 1/6, l, d? 1/6 Let y = -2 - -1.6. Let f = -134.6 - -135. Which is the second smallest value? (a) 1 (b) y (c) f c Let w = 182/51 + -4/17. Let m = -11/3 + w. Let j = -115 + 116. Which is the third biggest value? (a) j (b) m (c) -0.2 b Suppose -3 + 7 = h. Let n be (5/50)/(h/5). Which is the biggest value? (a) n (b) -1/3 (c) 1/6 (d) -3/7 c Let k = 0.75 - -0.25. What is the third smallest value in 1/3, -5, k, -2/7? 1/3 Let v = -1680 + 1680.16. What is the second biggest value in v, 5, -2/19, -2? v Let p = -2233 + 2233.06. What is the fourth smallest value in p, 1/7, 2, 11/6? 2 Let f = -1 + 3. Let z = 0.35 - -32.65. Let v = -32.8 + z. What is the second smallest value in -0.3, v, f? v Let x = 231 - 229. What is the second biggest value in -143, 1/3, x? 1/3 Let w = -0.1114 + 4.1114. What is the second biggest value in 0, w, -0.5, 7? w Let k = -99 - -140. Let h = -40.6 + k. Suppose 5*w - 19 - 8 = -2*i, -2*i + 5*w - 23 = 0. Which is the third biggest value? (a) i (b) h (c) 0 c Suppose -4*b = 2*o + 7 + 1, 3*b + 11 = -4*o. Let l = -2.95 + -0.05. Let h = l - -5. What is the third biggest value in h, 3, b? b Let h = 4047/7 + -3198/7. Let q = -121 + h. Let w = 8 - 7.7. What is the second biggest value in w, 4, q? w Let d be (-6)/18*2/(2 - 4). Which is the second smallest value? (a) 5 (b) d (c) -3 b Let c be 4/30 - ((-668)/(-60) + -6). Let u = 1.59 - -6.31. Let p = u - 7. What is the third biggest value in p, -2/7, c? c Let l = 1063/30 - 71/2. Suppose p + 30 = -5*f, -13*f + 11*f - 20 = 2*p. What is the second biggest value in f, -2, l? -2 Let t = 6.87 - 7. Let z = t - 0.27. Which is the second biggest value? (a) z (b) -2 (c) 5 a Let c = -682/5 + 136. What is the biggest value in -0.1, -1/3, c? -0.1 Let f = -192 - -189. Suppose -2*p + x + 8 = 0, -x = 5*p + 2*x + 2. What is the third smallest value in 0, p, f? p Let z = 50.12 - 50. Let f = -7 + 7.12. Let l = f - z. Which is the second smallest value? (a) 3 (b) l (c) 0.1 c Let o be 4/(-9) + (-10)/(-45) - (-1)/126. Let g be (2/12)/((-2)/2). Which is the fourth biggest value? (a) o (b) 0.1 (c) 0.4 (d) g a Let v(z) = -4*z - 40. Let q be v(-9). Let m = 0.8 + -0.3. What is the second biggest value in -0.04, q, m? -0.04 Let u = 0.1467 + 0.0533. Which is the third smallest value? (a) u (b) -5 (c) 0.3 (d) -1/34 a Let u = -300 + 325. What is the fourth biggest value in 0.4, u, 0.1, -2/9? -2/9 Let n = -65.408 + 72.3. Let r = n - -0.108. What is the smallest value in 5, -1/2, r, 3/4? -1/2 Let v(i) = i + 3. Let c be v(-3). What is the third smallest value in c, 11, -0.3, 2/9? 2/9 Let c(v) = 4*v**3 + 4*v**2 + 2*v. Let y be c(-2). Let g be 2/2 + 12/y. What is the biggest value in -4, 1, g? 1 Let b = -265 - -269. What is the third biggest value in b, -2/7, -49? -49 Let v = -260.6 - -196. Let o = -65 - v. What is the second smallest value in o, 5, 16/3? 5 Let c be ((61 - -5)/(-3))/((-20)/(-40)). What is the third smallest value in -3, c, 3, 4/3? 4/3 Let n = 7.8 + -8.8. Let i(t) = 4*t**3 + t**2 - t. Let w be i(1). What is the third smallest value in -3, w, n? w Suppose -t - 14 = -u, -5*u + u = 4*t + 16. Let n be (-42)/t + 2/(-3). Let k = 493/826 - 3/118. Which is the third biggest value? (a) -0.1 (b) n (c) k a Let y(c) = -41*c + 175. Let d be y(20). What is the fourth biggest value in -0.4, -2/13, -4/3, d? d Let g = 7 - -72. Let q = g - 74. What is the smallest value in 0, 2, 1, q? 0 Let o = 0.378 - 0.178. Suppose -21 = -2*m - 31. What is the second biggest value in o, -0.1, m, -3/7? -0.1 Let r = 235 - 238. Which is the second smallest value? (a) 1/4 (b) -14 (c) r (d) 2 c Let v = -1813/9 + 201. Suppose -2*p - 4*n - 4 = 0, 3*p + 3*n = -n - 8. Which is the third biggest value? (a) 0 (b) v (c) 0.7 (d) p b Let y(x) = x + 11. Let i be y(-5). Suppose 11*o = i*o. Let f = 0.8 -
{ "pile_set_name": "DM Mathematics" }
96*f Expand b**4 + 7*b**4 + 8*b**4 + b**2 + 2*b**4 - b**2 + (-3*b**4 + 4*b**4 - 2*b**4)*(1 - 4 + 2) - 2*b**4 + 131*b - 131*b. 17*b**4 Expand (-3*s + 0*s + s)*(4*s - 3*s + 0*s) + (3 + 3 - 4)*(5*s**2 - 3*s**2 - 3*s**2) + s**2 - 2*s**2 - 3*s**2 - 3*s**2 - 3 + 1 + s**2 - 3 + 3 - s**2. -11*s**2 - 2 Expand (0 - 2 - 2)*(-1 - 1 - 1)*(-3 + 3 - k). -12*k Expand (-r - r + r)*(r + 9*r + r) - 5*r + 5*r - 7*r**2. -18*r**2 Expand (10*l + 5*l - 3*l)*(2 + 0 - 3) - l + 2*l + l. -10*l Expand 4*r - r - r + (2*r + r - 4*r)*(17 - 15 + 14) + 0 - r + 0. -15*r Expand (-6 + 1 - 1)*(2*r**5 + 5*r**5 - 5*r**5) + (0*r**5 + r**5 + r**5)*(0 + 0 + 2) + (-2*r**4 + 6*r**4 + 5*r**4)*(r + 3*r - 6*r). -26*r**5 Expand (13 + 27 + 22)*(-2 + 2*j**4 + 2)*(-5*j - 2*j + 5*j). -248*j**5 Expand -1 - 2*o + 1 + (-7 + 3 + 2)*(-o + 0 + 0) + 3 - 3 + 3*o + (0*o - 6*o + o)*(-2 + 6 + 0). -17*o Expand (-2*c - 2 + 2)*(-c**3 + 2*c**3 + c**3) + 2*c**3 - 2*c**3 + c**4 - 5*c**4 - 2*c**4 + 2*c**4 + (-22*c**2 + 9*c**2 - 7*c**2)*(-c**2 + 0*c**2 - c**2). 32*c**4 Expand (-2 + 6 - 3)*(a + 5*a - 3*a)*(-7 + 35 + 114). 426*a Expand -2*p - 2 + 2 + (-2 + 2 - 3)*(2 - 2 + 3)*(3 - 9 - 1 + p). -11*p + 63 Expand (2*u**2 - 5*u**2 + 2*u**2)*(24*u**2 - u - 47*u**2 + 31*u**2) + 2*u**4 - 3*u**4 - 4*u**4. -13*u**4 + u**3 Expand (-2 - 7 + 2)*(-2*n - 2*n + n) - 1 - 4 + 4*n + 3. 25*n - 2 Expand 3*w**4 - 11*w**4 + 4*w**4 + 3 + (-2*w**2 + 2*w**2 - 3*w**3)*(-1 + 1 + w). -7*w**4 + 3 Expand (-r + r + 2*r)*(-6 + 1 + 1) - 2*r - r + 5*r + (2*r + 0*r - 4*r)*(0 + 1 + 0) + 0*r + 3*r - 5*r + (-1 - 5 + 3)*(0*r - r + 3*r) - r + 2*r + 2*r. -13*r Expand 3*n**2 - 3*n**2 + 2*n**5 + (2*n**3 + 3*n**3 - 3*n**3)*(-2 + 0*n**2 + 4*n**2 + 9*n**2). 28*n**5 - 4*n**3 Expand (-28 + 28 + 14)*(13 + 2 - 3)*(r + 3*r - 3*r). 168*r Expand 19 - 26 + 41*h - 86*h + (h - h + h)*(4 - 6 + 1) - 2*h + h - h - 2 - 2*h + 2. -50*h - 7 Expand (-4 - 4 + 6)*(-2*m - m + 5*m)*(16346*m + 542*m**2 - 16346*m). -2168*m**3 Expand (5*g - 4*g - 2*g)*(83*g**3 + g**2 - 193*g**3 + 24*g**3). 86*g**4 - g**3 Expand -21*q**4 + 154*q**4 + 99*q**4 + 131*q**4 + q**4 - q**4 + 2*q**4 + (-3*q + 3*q + 2*q**3)*(-2*q + 6*q - 3*q). 367*q**4 Expand -5*m + 5*m - 2*m**2 + 2*m**2 - 2*m - 303*m + 51*m + (2*m + 2*m - 2*m)*(2*m + 1 - 1) - 3*m + 3*m + m**2. 5*m**2 - 254*m Expand (1 + 1 + 1)*(14*l - 144*l + 28*l). -306*l Expand (1 + 1 - 3)*(-2*y + y - y + (0 - 2 + 0)*(-3*y + 3*y + y)) + (-2*y + 2*y + 3*y)*(4 - 1 - 4)*(-2 + 0 + 0). 10*y Expand -2*g**2 + g**2 + 3*g**2 + (-3 + 3 - g)*(g - g + 3*g) + 3*g**2 - g**2 - 4*g**2 + (-g + g - g)*(-7 + 7 + 4*g). -7*g**2 Expand (-3 - t + 3 + 6*t - 2*t - 3*t + (2*t + 0 + 0)*(-2 - 2 + 6) + 2 - 2 - t - t + t + t)*(-51 + 22 + 119). 360*t Expand (i**2 + i**2 + 0*i**2)*(823*i + 351 + 808*i - 1629*i) - 2*i**3 + 0*i**3 + 0*i**3 + (2 - 2 + i)*(-4*i**2 + 2*i**2 + i**2) - 2*i**3 + 0*i**3 + 3*i**3. 2*i**3 + 702*i**2 Expand (-1 + 5 - 3)*(3 - 3 + 2*n + 0*n - 5*n + 6*n - n + 3*n + 0*n + (-2*n - 3*n + 7*n)*(0 - 3 + 5) + 2*n - n + 0*n)*(-73*n**3 - 6*n**3 + 2*n**2 + 21*n**3). -580*n**4 + 20*n**3 Expand l**2 + 1 - 1 - l**2 + 0*l + 0*l + (155*l + 52*l - 49*l)*(0*l - 4*l + 2*l). -316*l**2 Expand (2*h - 4*h - 2*h)*(-7 + 2 - 6) + 3*h - 5*h + 0*h + (-2*h + h + 0*h)*(1 - 2 + 2). 41*h Expand (2*u - 2*u + 3 + 2*u)*((5 - 3 + 0)*(4 + 1 - 4) + 46 - 7 - 4). 74*u + 111 Expand (0 + 4 - 2)*(s + 2*s - 5*s) + s - s + 2*s + 11 - 11 + 3*s + (-5 + 1 + 3)*(0 + 0 + s) - 13*s + 2*s + 2*s. -9*s Expand (3 + o - 3)*(55633 + 168*o**2 - 55633) - 3*o**2 + 3*o**2 - o**3. 167*o**3 Expand ((-233*j + 43*j + 386*j)*(6*j - j - 4*j) + 0*j - 2*j**2 - j - 2*j)*(3*j - j + 0*j). 388*j**3 - 6*j**2 Expand (34*a - 34*a - 2*a**3)*(-5 + 11*a**2 + 5 + 1 - 2*a**2 - 1 + (-a**2 + 0*a**2 + 3*a**2)*(-1 + 1 - 1) - a**2 - a + a + 0 - 2*a**2 + 0 + 2 - 2 + 2*a**2). -12*a**5 Expand 0*o**2 + 0*o**2 - 2*o**5 + (o**3 + 2*o**5 - o**3)*(-3 + 5 + 0) + (2*o - 2*o - 2*o)*(2*o**4 - 13*o**4 - 6*o**4). 36*o**5 Expand (15*f**3 + 21*f**3 - 10*f**3)*((6 - 1 - 3)*(1 - 1 - 2*f) + 2 - 2 + 2*f). -52*f**4 Expand (-3 + 2 + 2)*(0 + 2*p**3 + 0) + (5*p**2 - 5*p**2 + 2*p**2)*(-5 + 5 - 3*p) + p**3 + p - p + 4*p**3 + 0*p**3 + 16*p**3 - 2 + 2 + p**3. 18*p**3 Expand (3 - 4 + 0)*(-5*d**2 + 5*d**2 + d**4) + 118*d**4 + 2150*d**3 - 2150*d**3 + (0*d - d + 2*d)*(3*d**3 + 0*d**3 - 6*d**3). 114*d**4 Expand (108*k**3 - 49*k**3 - 52*k**3 + 2*k**2)*(12*k**2 - 8*k + 8*k). 84*k**5 + 24*k**4 Expand (-13*p**2 - 7*p + 0*p + 15*p**2)*(-44*p**2 + 3*p - 3*p). -88*p**4 + 308*p**3 Expand 335*d + 296*d - 490*d + (d + 4*d + 0*d)*(0 - 3 + 4). 146*d Expand (-2*z + 2*z - 2*z**4)*(0*z + z + z) + 824*z**3 + 28*z**5 - 824*z**3. 24*z**5 Expand (2*t**3 + 3*t**3 + t**3)*(-3 - 4 + 6 - 1 + 1 - 2 + (0 + 2 + 0)*(4 - 1 - 1)). 6*t**3 Expand (204*a - 4 + 4 - 454*a)*(-4*a**3 + 4*a**3 + a**4). -250*a**5 Expand -t + 2 - 2 + (-3 + t + 3)*(-2267 + 1070 + 2004). 806*t Expand 54*a**2 - 79*a**5 + 86*a**5 + a**2 + (-7 + 3 + 2)*(a**5 + 3*a**5 - 3*a**5). 5*a**5 + 55*a**2 Expand 3264*f**4 + 31 - 1627*f**4 - 1634*f**4 + (2*f**2 + 5*f - 5*f)*(3 - 2*f**2 - 3) + 1 + 2*f**4 - 1. f**4 + 31 Expand (-641*g**2 - 568*g**2 + 1122*g**2 - 2)*(1 - 1 - 2*g). 174*g**3 + 4*g Expand (2 - 4 + 1)*(-m - 14 - 2 + 0). m + 16 Expand (-2*u**2 + 0*u**2 + u**2)*(-2*u - u + u) + (3*u**2 + 24*u**2 + 46*u**2)*((5 - 3 + 0)*(-2*u + 2 - 2) + u + 3 - 3 + (u - 2*u + 2*u)*(-2 + 0 + 1)). -290*u**3 Expand (-2*n**4 + 4*n**4 - 3*n**4)*(-6*n + 4*n - 2*n) + (-9*n**3 - 50*n + 50*n)*(3*n**2 + n**2 - 2*n**2). -14*n**5 Expand (0*o - 4*o + 5*o)*(-5*o + 2 + 0*o + 3*o). -2*o**2 + 2*o Expand (10 - 15 - 2*i - 11)*(34 - 34 + 7*i**2). -14*i**3 - 112*i**2 Expand (-2*r + 0*r + 0*r)*(33*r - 54*r - 14*r)*(4*r**2 - 2*r**2 - 4*r**2). -140*r**4 Expand (0*l - 4*l - 3*l)*((-2*l - 2*l + 3*l)*(-2 - 3 + 4) + 2*l - 3*l + 3*l)*(2*l**2 + 1 - 1) + (-4*l + l + l)*(-l**3 - 1 + 1) - 6*l**4 - 2*l**4 + 4*l**4. -44*l**4 Expand 0 + j**3 + 0 + (0*j**3 + j**3 + 0*j**3)*(-10 + 2 + 1). -6*j**3 Expand (-l - 2*l**2 + l)*(192*l**2 + 202*l**2 - l - 399*l**2 - 8). 10*l**4 + 2*l**3 + 16*l**2 Expand 12*c**3 + 28*c**3 - c**3 + (-c**2 + 0*c**2 + 0*c**2)*(0*c + 2*c + 0*c). 37*c**3 Expand (2*c + 4*c - 4*c)*(-10 + 5 - 8 - 14). -54*c Expand 8*n + 6 - 2*n**2 + 20 - 10*n + (0*n**2 - 3*n**2 - 2*n**2)*(-1 - 1 + 0). 8*n**2 - 2*n + 26 Expand (3*t - 3*t - t)*(1 + 4 - 1)*(-t - t + t + 4 - 4 - 2*t + (-2 + 0 + 0)*(2*t + 4 - 4) - 2*t + 2*t + t - 1 + 1 + t). 20*t**2 Expand (-29*s + 67*s + 43*s)*(-2 + 3 - 2). -81*s Expand (-7*j**4 - 4*j**4 + 7*j**4)*(-3*j - 3 - j + 2). 16*j**5 + 4*j**4 Expand (-2 + 4 + 3)*(-63*g - 9*g**2 + 63*g). -45*g**2 Expand 1 - o**2 - 1 + (0 + 1 + 7)*(398*o - 398*o + 3*o**2) + o**2 + 1 - 1. 24*o**2 Expand (-4*b**2 - 3*b**2 + 5*b**2)*(3*b**2 - 5*b**2 + b**2) - 38 - 517*b**4 - 2*b**2 + 510*b**4 + 3*b**3 + 37. -5*b**4 + 3*b**3 - 2*b**2 - 1 Expand (1 + 0 + 0)*(1 + 2 - 4)*(15*m**2 - 11*m**2 - 34*m**2). 30*m**2 Expand -59*d**2 + 146*d**2 - 73*d**2 + (4*d + 2*d**2 - 4*d)*(2 - 3 + 4) - 5*d + 2*d**2 + 5*d + (2*d - 2*d - d)*(d - 6*d + 3*d). 24*d**2 Expand (-3*x + 4 - 4)*(25 - 134 - 9). 354*x Expand (-3*z - 4 + 4)*(-34*z**3 + 563 - 563) + (-z**3 - 2*z**3 - z**3)*(-4*z + 3*z - z). 110*z**4 Expand (2 - 4 + 1 + (0 + 0 - 1)*(2 - 2 - 2) - 1 - 1 + 0 + 3 + 1 - 1 - 1 - 3 + 1)*(3*j + j - 6*j)*((0*j + 0*j + j)*(-4 + 0 + 2) + 0 + 0 + j). -2*j**2 Expand (-4*g**2 + 5*g**2 + g**2)*(-1055 - 1044 + 1580). -1038*g**2 Expand -c**2 + c**2 - c**4 + (4*c**3 - 3*c**3 - 2*c**3)*((1 + 2 - 1)*(1 - 1 - 2*c) - 19*c + 6*c + 12*c). 4*c**4 Expand -3*c + 1 - 1 + (-10*c + 9*c + 20*c)*(-2 - 3 + 2). -60*c Expand (13 + 3 - 6)*(-4*i + 958 - 958 + 2*i**3) + i**3 - i**3 + i**3 + (-i**2 + 5*i**2 - 5*i**2)*(-2*i + 2*i + 2*i). 19*i**3 - 40*i Expand ((-1 + 10 - 2)*(2*j - 1 + 1) + (-j - j + 0*j)*(2 + 0 - 4))*(-45 + 61 + 48). 1152*j Expand (60724 - 60724 + 184*f)*(-3*f + 6*f - 4*f)*(3*f**2 - 2*f**2 - 2*f**2). 184*f**4 Expand (4*u - 4*u + 16*u)*(-190*u + 190*u - 14*u**3). -224*u**4 Expand (0*j - 6*j + 0*j)*(3 - 4 + 3) - 10 + 10 + 10*j. -2*j Expand -2*n**4 - 2*n**3 + 3*n**3 - 2*n**3 + n**5 + (-29*n**4 - 3*n**4 - 4*n**4)*(-n + 4*n - n). -71*n**5 - 2*n**4 - n**3 Expand ((y - y - y)*(2*y**2 - 2*y**2 + 2*y**2) - y**3 - 1 + 1 + 2*y**2 + 2*y**3 - 2*y**2)*(-4*y**2 - 2*y + 353 - 353). 4*y**5 + 2*y**4 Expand 3 + 2*u**2 - 3 + 2*u**2 - 4*u**2 + 3*u**2 + (3 + u - 3)*(6*
{ "pile_set_name": "DM Mathematics" }
b**(-4715/84) Simplify ((v/(v/(v*(v*v/((v**(-7/4)/v)/v))/v*v*v*v*v*v*v)))/v**(-6))/(v**2/v)**(3/34)*((v**15*v*v)/v**5)**(34/7) assuming v is positive. v**(36151/476) Simplify (n**(-2)*n*(n*n**(3/4))/n*(n*n**(5/8)*n*n)**(3/4))**(-26) assuming n is positive. n**(-1027/16) Simplify ((m*m/(((m**(1/5)*m)/m)/m))/((m**(6/5)*m)/m))/(m*m**(-2/11)*m**(-5))*(m/(m*m**(2/7)))/(m*m**(-1/3))*m**(2/9)/(m*m**6) assuming m is positive. m**(-6751/3465) Simplify ((t*t**30)/t)**48/(t**(-2/19))**(-5) assuming t is positive. t**(27350/19) Simplify ((j**(-2/7))**(3/8)/(j*j**(3/8)*(j/(j*j**0))/j))/(((j**0/j)/j)**(-3/26))**(1/16) assuming j is positive. j**(-723/1456) Simplify ((o**(-2/93))**3*(o**(-2/55)/o)**36)**25 assuming o is positive. o**(-318610/341) Simplify ((o*o**(-9)*o**31)/((o**(-3/4)*o*o)/((o/(o/(o**2/o)))/o)))**(-2/65) assuming o is positive. o**(-87/130) Simplify (c/(c*c**(-4/5))*(c**5*c)/c)**(-4/3)/(c**(2/3)*c**9/c*c*c*c*c)**(4/35) assuming c is positive. c**(-964/105) Simplify ((((l*l*l*l**(2/11))/(l/((l**0/l)/l)))/(l*l*l*l**0)**11)**42)**(1/23) assuming l is positive. l**(-15162/253) Simplify (((a*a*a*a**(8/3))/(a*(a*a**(1/4))/a))/(a**(-1/7)/a*a**(-1/13)))/(((a**(-1/4)*a)/a*a)**(-26)/(a**(-2/7))**(-40)) assuming a is positive. a**(39929/1092) Simplify (f*f**(-19)*f*f/(f*f**(-24))*(f**(-7/5))**(1/11))**(-41) assuming f is positive. f**(-15498/55) Simplify ((n*n/n**0)**(43/4)*(n**(-1/2))**(-37))/(n**3/n**(-5)*(n/(n/(n*n*n**(2/21)/n)))/n**0) assuming n is positive. n**(649/21) Simplify (((p/(p/(p*p/(p*p**(-4/5)*p*p)))*p)/p*p)/p**(-2/69))/(p**27)**(-14) assuming p is positive. p**(130696/345) Simplify ((u**(2/3)/u)/((((u**(2/15)/u)/u)/u)/u))/(u**(-2)/u*u**(2/11)/u)*(u**(-3/5)*u**(2/11))**(-4/25) assuming u is positive. u**(30601/4125) Simplify (l**(-1/7)/l**(-4))/(l**(-2/5)/l)**20*(l**2)**(-3/23)/((l/(l/(l/(l*l/(l*l*l**(-1/5)*l)))))/(l/((l**0/l)/l))) assuming l is positive. l**(26401/805) Simplify (((j/(j**(-3/7)/j)*j*j)/(j/(j**(-11)/j)))/((j*j**0)/((j**(3/16)/j)/j)))**(2/7) assuming j is positive. j**(-1275/392) Simplify ((x**(-7/5)/x)/(x*x**(-5)))**(-9)*x**(-1/3)/x**(-5)*x**(-4)*x/(x/x**(-1/9)) assuming x is positive. x**(-623/45) Simplify ((p**29)**(-14/3)*(p**(-3/7)/p*p)/p*p*p*p**(2/3)/p)**(-11) assuming p is positive. p**(31207/21) Simplify ((g/(g**(1/4)*g))/g*g**(2/9)*g**(2/7)*g**(-5))/((g/(g*g**(-1/4)*g))/(((g/(g/(g*g**0)))/g)/g)*(g/g**(-1))/(g**6/g)) assuming g is positive. g**(-377/126) Simplify ((w/(w/((w*(w**(2/9)*w*w*w)/w)/w))*w)**(-15)/(w*w**22*(w*w/(w*w**(-6/7)/w))/w))**(9/5) assuming w is positive. w**(-4611/35) Simplify (((d**(-1)/(d/d**0*d))/((d**(3/7)/d)/d**(-2/3)))**(2/13))**(-9) assuming d is positive. d**(30/7) Simplify ((x**(2/3)/x)**(-21)/(x**(-2/3))**(-3/5))/(x*x/x**(-3)*x**0*x*(x*x**(1/2))**(-27/2)) assuming x is positive. x**(417/20) Simplify (y**(-24))**(6/13)/(y**23/y*y**(-1/7)) assuming y is positive. y**(-2997/91) Simplify (c**(10/9)/(c**(-13)/c))**(-3/23)*((c*c*c/c**(-9))/(c*c**(-6)*c))**(2/35) assuming c is positive. c**(-2552/2415) Simplify ((d*d*d*d*d/(d/d**(3/4))*d*d*d)**(-28)*((d/(d/(d*d**(1/8)*d)*d))/d)**(-11/7))**(1/2) assuming d is positive. d**(-12163/112) Simplify (q**(-2/27)/((q*q*q*(q**1/q)/q)/q)*(q**0)**23)**(8/5) assuming q is positive. q**(-232/135) Simplify ((t**(-3/2)*t/t**(3/2))/(t**1)**(-42))/(((t/(t*t**(1/2))*t)/t*t)**(-45)/(t**(1/9)*t*t**(-3/7)*t)) assuming t is positive. t**(8087/126) Simplify ((((y/y**2)**(-3/13))**(-32))**26)**(28/9) assuming y is positive. y**(-1792/3) Simplify (d**7*d*d**(-11)*(d/d**11)/d*d*d**11)**(-2/17) assuming d is positive. d**(4/17) Simplify (t**26*(t/(t*t**(-6/7)/t*t*t))/t)/(t**14)**(-16) assuming t is positive. t**(1742/7) Simplify (w**1/(w**(-2/7)/w)*w**(-6)*w*w**(-4)/w)/(w**(-10)/w*((w*w**(-2/23))/w)/w)**(7/9) assuming w is positive. w**(2444/1449) Simplify (((u**10/u)/(u*(u/u**(1/8))/u))/(u/u**(4/17)*u/(u/u**(1/10))))**37 assuming u is positive. u**(182669/680) Simplify (o**1)**31/(o**1/o)**(-1/22)*(o*o**1)**34/(o*(o*o**(-9)/o)/o*o**(-2/5)) assuming o is positive. o**(542/5) Simplify ((a/a**(-11/2))/((a**34/a)/a))/(a**(-35)*((a/(a*a**1))/a)/a) assuming a is positive. a**(25/2) Simplify ((((g**(5/4)/g)/g)/g*g**(-13))/((g**(-5/9)*g*g)/g**(-29)))**(-1/2) assuming g is positive. g**(1627/72) Simplify (((w/(w*w**1)*w)/w)**(-1/14))**(3/19)*w**(-9)*w*w/(w**(-1/4)/w)*(w*w**(-2)*w)**43 assuming w is positive. w**(-3053/532) Simplify (((d*d*d**(2/27))/d*d**(-37))/(d**(-15/2)*d**(-4)/d))**(-6/7) assuming d is positive. d**(1265/63) Simplify ((d/(d*d**(-1)*d))**15)**(-1/28)*(d*(d*d**2)/d*d)/((d/(((d*d**(-3/2))/d*d)/d))/d)*d/d**3*d*d**(3/5)*d assuming d is positive. d**(31/10) Simplify ((p*p**(2/7)/p)/(p/((p**2*p)/p))*(p*p/(p/p**0))**(-1/8))/((p**(-1/4))**37*p*((p/(p/(p**(2/3)/p*p)*p)*p)/p)/p*(p/p**(5/2))/p) assuming p is positive. p**(2225/168) Simplify (o/(o/(o/(o/(o**(-4/7)/o*o)))*o)*o/o**(2/9))**(-1/32)*((o**0)**(-34))**48 assuming o is positive. o**(25/1008) Simplify s**(-6)/(s/s**(-1))*s**(2/7)/s**(-4/3)*s**(4/7)/(s*s*s*s**5/s*s*s)*(s*s**0)/s**(1/4) assuming s is positive. s**(-1181/84) Simplify (w/w**(-7)*w/(w**(-2)*w*w)*w/(((w/(w*w**7)*w)/w*w)/w)*w/(w*w**(-3)/w*w))/((w**(1/7)*w*w**(1/6))/(w*w*w**1)**(-38)) assuming w is positive. w**(-4003/42) Simplify ((d*(d*d**(-1/2))/d)**(-4/19))**(-10/11)*d**0/(d**4*d*d)*(d*d**(-1/3))**8 assuming d is positive. d**(-358/627) Simplify (((p/p**(-2))/p)**(-5/6)*p**(-1/21)/p**(-8/9))**(20/9) assuming p is positive. p**(-1040/567) Simplify ((z*z/(z/(z*z*z**(-1/5)*z*z)))/(z**6/z)*(z**9*z)/(z*z**(-3/4)))/((z/(z/(z**(-1)/z)))**(1/66)/(z/(z**1*z)*z)**(-1/3)) assuming z is positive. z**(6323/660) Simplify (((n/(n/(n*n*n**1)))/n*n)**(-2/95)*((n*n**(-1))/n)**(-35/2))**43 assuming n is positive. n**(142459/190) Simplify ((x*x/(x/x**(-1/5)))**40/(x**0/((x/x**(-8))/x*x)))**20 assuming x is positive. x**820 Simplify ((o**(-7))**(-4/9)*(o**(-2/5))**(-4/15))**(10/9) assuming o is positive. o**(1448/405) Simplify ((z**(-1)/z)**(-24/11)*z**(3/4)*z/(z**(2/3)*z))/(z*z**(-4/3)*z/(z/z**(1/3))*z**(-2/9)/z**1) assuming z is positive. z**(2245/396) Simplify (r**(-11)*r**18*r**(16/7)/(r*r*r**(1/16)))**(-22) assuming r is positive. r**(-8899/56) Simplify (((h**8*h*h/((h**(-28)/h)/h)*h)**(2/61))**(-46))**(-26) assuming h is positive. h**(98072/61) Simplify ((u*u**(-1)/u)/u)**(-10)*((u/(u/u**8))/u*u)/((u*u**(2/5)/u)/u)*(u*u/(u/((u**(-1)*u)/u))*u)**(-1/16)/(u*u**(-9)*u**(7/5)/u) assuming u is positive. u**(2891/80) Simplify (p**33)**(-10/7)/(p**(2/85)*p*p*p/p**25) assuming p is positive. p**(-14974/595) Simplify ((((z*z/z**(-3/4))/z**4)/((z*z/(z/(z*z**2)))/(z*z/z**(-1/3)*z*z)))**26)**(1/88) assuming z is positive. z**(-13/48) Simplify ((m/((m**(-4)*m)/m)*m/(m/(m/m**(-2/3)*m)))/(m**7*m**(1/3)))/(m**(-7)*m**(-1/8)*m**4/m**(-8)) assuming m is positive. m**(-109/24) Simplify ((a*a/(a/(a/(a*a**(2/19)*a))))/(a/a**(-3/2))*(a**1*a*a)**(4/9))/((a*a*a*a*a*a**3*a*a)**(-14))**(-7/3) assuming a is positive. a**(-37385/114) Simplify (((v*(v/v**(-9))/v)/(v**(14/5)*v))/(v**(-1/5)*v**(3/8)))**(1/8) assuming v is positive. v**(241/320) Simplify (i**(10/11)*i/(i/(i**27*i)))/(i*i**(-17))**30 assuming i is positive. i**(5598/11) Simplify (u/u**(-2))**(-4/7)/(u**(-5)/u*u*u**1*u)*(u/u**(-1/6))/u*u**(-2/7)*u*(u**(-2)*u)**18 assuming u is positive. u**(-95/6) Simplify ((h/(h**(-48)*h))/((h/(h*h**(-2/33)/h))/h)*((h**(-46)/h)/h*h)/(h*h**(-43)*h))**(-2/31) assuming h is positive. h**(-2768/1023) Simplify ((p**1/p*p*p*p)**(-24))**(-1/12)*(((p/p**7*p)/p)/(p*p**0*p))**(5/6) assuming p is positive. p**(-2/3) Simplify ((a**(2/7)*a)/(((a*(a*a**(-4/9)*a*a*a)/a)/a)/a))**(4/3)/((a/(a*a/(a/a**0)*a))**(-1/18))**(-3/10) assuming a is positive. a**(-1297/3780) Simplify ((x*x**(1/4)*x*x**(-48))/(x**(-14)*x**(-35)))**(5/6) assuming x is positive. x**(65/24) Simplify (v*v*v**8/v*v*v*v**30*(v*v**(2/19)*v)/(v/v**(-6/7)))**(16/5) assuming v is positive. v**(87776/665) Simplify ((v**1)**(-1/7)/(v/(v**(1/6)*v)*v**(2/5)))/(v/(v/(v**(-4)/v))*v**(-6)*(v**(2/7))**0) assuming v is positive. v**(2231/210) Simplify (l/(l/(l*l**(-13/4)))*l*l*l/l**(-2)*(l**(2/103))**(-1/20))**(-40) assuming l is positive. l**(-11326/103) Simplify (r/r**0)**29/(r**(-7)/r**0)*(r**(-2/3))**2*(r*r/r**(4/9))/r**(-2/19) assuming r is positive.
{ "pile_set_name": "DM Mathematics" }
= -5.4572 + 1.4572. What is the nearest to 1 in z, 2, 1.2? 1.2 Let q = 25.2 + -23.2. Let i = 92 - 91. What is the closest to 5/7 in -5, q, i? i Let i = 0.04847 + 4.95153. Which is the closest to 0.1? (a) i (b) -6 (c) -4 (d) -0.1 d Let i = 7.4 - 5.4. Let v = 86.16 + -86.2. What is the nearest to v in 1/5, i, 5? 1/5 Let x be -5 + 14/3 - (-10)/(-6). Suppose 0 = -4*s - 1 - 3. Let d be ((-83)/83)/(7*(-2)/4). Which is the nearest to 2/13? (a) x (b) s (c) d c Let k = -0.46 - -0.06. Let x = 3.82 + -1.82. What is the nearest to 0 in k, 16, x? k Suppose -3*h + 57 = p, 5*h + 2*p = -0*p + 94. Let l = -842.4 - -843.4. What is the closest to h in -5, l, -0.5? l Let n be ((-1)/(-2))/(2/(-8)). Let m = -0.30368 + 0.40368. What is the closest to 0 in 0.9, n, m? m Let v = 0.56 + -43.56. Let i = -38 - v. Let k(o) = o**2 + 3*o - 9. Let y be k(-4). What is the closest to 2 in i, 0.5, y? 0.5 Suppose 24 = 5*s + 4*d, 0 = -s - s - 2*d + 10. Let i = 881 - 893. Let n = -1.6 + 2.6. Which is the closest to n? (a) 3 (b) i (c) s a Let w be -2*12/(-8) + -9. Let g(j) = -j - 3. Let n be g(w). Let q = 166.1 - 166. Which is the nearest to -2/13? (a) 6 (b) q (c) n b Let s = 56.19 + -15.89. What is the closest to -1/4 in -5, -1/4, s? -1/4 Suppose n + f = 0, 20*n - 16*n - 4*f - 48 = 0. Which is the closest to 9? (a) 2/17 (b) 7 (c) n b Let y be (-2)/(-3)*(-3)/17. Let m = 83.0941 - 85.0941. What is the nearest to m in 3, y, 2/9, 0.3? y Let a = 531777/67 + -7937. What is the nearest to a in 2/3, 1, -4? 2/3 Let g = 0.2 + 0.3. Let n = 205.5 - -46.5. Let k = -252.2 + n. What is the closest to k in 0.02, g, 4? 0.02 Let p(t) = -2*t + 5. Let j be p(-10). Suppose 166*n = 184*n + 36. Let x be n/j*((-108)/16 - -3). Which is the nearest to 0? (a) -1/5 (b) x (c) -3/5 a Let m = 0.34 + -0.04. Let r = -1014.8 - -133.8. Let h = -881.1 - r. Which is the nearest to h? (a) -4 (b) 2 (c) m c Suppose 0*t - 4*v = 4*t - 28, -2*v - 6 = -3*t. Let x be 16/(-6) - (-15)/5. Which is the closest to 0.1? (a) x (b) 118 (c) t a Let z = 3545 + -10634/3. Which is the closest to -1/2? (a) -4 (b) z (c) 1/4 c Let t = -17093 - -17095. What is the nearest to 15 in 0.3, t, -2/3, 4/5? t Let g = 1021 + -1020.9. What is the nearest to -0.25 in g, 0.4, -3, 1.4? g Let q = 7.08 - 7. Let n = q - -0.92. Let w = 28.9 + -28.94. Which is the closest to n? (a) -0.1 (b) w (c) 3 b Suppose 0 = -2*m - 0*w - 4*w + 10, 4*w - 11 = -3*m. Let y be ((-2)/7)/(-1 - -4). What is the closest to 1/3 in m, -4, y? y Let r = -720409/12 - -60067. Let z = 129/4 - r. Which is the closest to z? (a) 1/5 (b) 1 (c) -1 c Let h(l) = l**3 - 12*l**2 - 2*l + 17. Let q be h(12). Let t be (-5)/q + (-3)/(3 + 0). Suppose 0*w = -3*w. Which is the closest to 2? (a) w (b) 10 (c) t a Let i = 0.061 + 103.939. Let m = 104 - i. Let j(o) = -o**2 + 3*o + 5. Let s be j(-2). Which is the closest to 1? (a) m (b) -0.1 (c) s a Let w be -14 - (-66)/(-55)*-10. Which is the closest to 7? (a) 2 (b) w (c) 0.02 (d) -4 a Let r = -59 - -48. Let t = 11.2 + r. Let s = -101 + 503/5. What is the closest to 1/3 in 3, t, s? t Let x be 9/(-11) - (2 - 3). Let m(h) = h**2 - 7*h + 6. Let j be m(7). Suppose 2 + j = -8*w. Which is the nearest to w? (a) 9 (b) -0.3 (c) x b Let r = -1 + 19. Suppose -316 = 21*b + 58*b. What is the nearest to 0.1 in -0.3, b, r? -0.3 Let h = 0.0797 - 0.4427. Let d = h + -0.337. Let o be (-4)/14 + (-16)/(-7). What is the closest to d in o, 1, 3? 1 Let w = -19357/22 - -9684/11. Suppose 5*r + 2 = 3*i, 0 = 4*i - r - 14. Suppose -z = 3*z - i. Which is the nearest to w? (a) 8 (b) 4 (c) z c Suppose -44*n + 18 - 12 + 170 = 0. What is the nearest to 0.1 in 8, n, 0.08? 0.08 Let i = -0.5 + 2.5. Let u(x) = x**2 + 13*x + 10. Let v be u(-12). Let y = -497 + 494. What is the closest to y in i, v, -0.1? v Let a be (-3 + 57/15)*(-13)/(-52). Suppose -3*n = 9 + 6. Let x be ((-1)/n)/(3/6). What is the closest to x in -0.3, 2, a? a Suppose -2*f - 4 = -2. Let w = 77921 - 77913. Which is the closest to f? (a) 0.5 (b) w (c) -1/7 c Suppose -3*w - z = -6, -3*w = -318*z + 320*z. Which is the nearest to 5? (a) -5 (b) 2 (c) w (d) -1/12 c Let m = -0.0613 + 0.0413. Which is the closest to -0.2? (a) m (b) 3 (c) -2/5 a Let l = -7701.2 - -7701. What is the nearest to l in 1/4, 0.5, 0.2, -4? 0.2 Let v = -3 + 3.5. Let w be -3 + (2 + -18)*(-2)/10. Let z be -1 + ((-18)/(-45) - 14/(-40)). Which is the nearest to 3? (a) v (b) z (c) w a Let i be ((-28)/10 - (-22)/(-110))/(-11 - -14). Which is the closest to -1? (a) -4 (b) 1/2 (c) i (d) -2/5 c Let z(w) = w**3 + 65*w**2 - 205*w - 107. Let j be z(-68). Which is the nearest to -0.1? (a) -2/3 (b) j (c) -0.3 c Suppose -3 = -4*f + 3*f. Let t = 0.238 - 0.112. Let z = t + -0.026. What is the nearest to z in -4, f, 27? f Suppose 0 = k - 25 + 25. Let t be (6/(-9))/((-4)/6) - k. What is the closest to t in 3, 5, 0? 0 Let u = -6985 - -6988. Which is the nearest to -70? (a) 1/10 (b) u (c) 0.01 (d) -1/4 d Let n = -16029.5 - -16029. What is the closest to -4 in 20, n, 0? n Let q be (-2)/23 - (-44880)/21505. Let v = -4.4 - -4. Which is the closest to -3? (a) 0.1 (b) -1 (c) v (d) q b Let m = 8032 + -8033. What is the nearest to 2/17 in -3/5, 6/5, 1/13, m? 1/13 Let d = 5933.1707186 - 1.1177186. Let z = -5937 + d. Let m = z + -0.053. Which is the closest to 3? (a) m (b) 2/3 (c) 3 c Let i = 3311 - 3310.9. What is the nearest to -1/4 in i, -1089, 5, 4? i Let n be 0/(7/((-14)/(-4))). Suppose 196*h - 199*h + 267 = n. Let o = h - 89. What is the nearest to -3/4 in 1/4, -0.4, o? -0.4 Let u = -102 + 1324/13. Suppose 0 = -118*h + 120*h + 5*s - 24, -3*h + 31 = 5*s. What is the closest to u in -4/3, h, 2/3? 2/3 Suppose 3*v - 5*o = -53 + 60, 0 = 3*v + 5*o - 17. Which is the closest to -32? (a) 0.2 (b) 1.7 (c) v a Let s = 192 + -74. Let r = 36 - s. Let g = -82 - r. What is the nearest to g in -4, -3/4, -0.1? -0.1 Let n = -5.74 - -5.74. Let t = 39 + -59. Let m = t + 19. What is the closest to 1 in m, n, 0.5? 0.5 Let k = 0.016 + 25.984. Let z = -21 + k. Let x = 219 - 222. What is the closest to 1/9 in x, z, 1/3? 1/3 Let l = -0.32 + -2.68. Let z = -4225.8 + 4226. What is the closest to z in -0.2, -1.1, l? -0.2 Let x be (1 - 0)/((-4)/(-6)). Let z = -762 + 1790. Let j = -1028.1 + z. What is the nearest to x in 0.3, j, 9? 0.3 Let i = 1088 - 8703/8. Let r(t) = t - 3. Let y be r(6). Suppose -9 = y*x, -3*h - 18 = 3*x - x. What is the closest to 1 in -0.1, h, i? i Let l = 643 - 662. Let q be l/(-38) - (-3)/(-30). Let h be (-11)/(-51) + (-2)/6. Which is the nearest to -16? (a) h (b) 0 (c) q a Let q = 151.9 + -152. Suppose p - 4*a = 24 - 10, 3*p + 3*a - 57 = 0. What is the closest to p in -2/5, q, 4/3, 5? 5 Let h = 4 - 5. Let t = 0.03 - 4.03. Let r = 1.084 + 1.916. What is the closest to h in t, r, 5? t Let u = 4.01256 - 0.01256. What is the nearest to -0.1 in 76, -1, u, -2/13? -2/13 Let l be ((-1180)/(-28))/5 + 0 + -5 + -3. Which is the nearest to 0.1? (a) l (b) 52 (c) 1 a Suppose 3*s = -3*x - 2*s + 2260, -s = -x + 740. Suppose l + 742 = x. Which is the nearest to 3? (a) l (b) 2 (c) 0.5 (d) -1/2 a Let w = 0 + -0.2. Let z = 588 + -452. Let m = -136.5 + z. What is the closest to 1/3 in -1, m, w? w Let q = 22.91 - -1.09. Which is the closest to q? (a) -2 (b) -0.2 (c) 0 c Let a = -14.842 - -14.442. What is the closest to 1/3 in 1/5, a, 0.5, 15? 1/5 Let z = -423 - -176. Let u = 252 + z. Which is the closest to -1/4? (a) 11 (b) 2 (c) u (d) 0.2 d Suppose -3*i - 13 = -8*i + 2*x, 8 = -4*i - 3*x. Suppose -p = i - 2. Let f = 21/935 - 1103/7480. Which is the nearest to 13? (a) p (b) f (c) 5/3 c Let p = 0.87 - 0.97. Which is the nearest to 3? (a) 0 (b) p (c) 3/4 c Suppose -117 + 60 = 3*m. Let p be (m/(-4) - 4)/(25/20). Let r = 4 + -3. What is the nearest to p in 0.5, -0.4, r? 0.5 Let m = -1.8 + 2. Let v = -108.91 + 106.2. Let d = 0.71 + v. Which is the closest to 2? (a) d (b) -0.3 (c) m c Suppose 0 = 14*f - 3*f + 21*f. Suppose 6 = -3*u, -7*u = 2*s - 3*u + 6. Which is the nearest to s? (a) 0.5 (b) f (c) 13 a Let r = -11.225 + 14.225. What is the closest to -4 in -0.11, 4, r, -6? -6 Suppose 5*g = -32 - 8. Let x = -27.934 + -0.066. Let o = x - -27. Which is the closest to 2/7? (a) 0 (b) o (c) g a Let q =
{ "pile_set_name": "DM Mathematics" }
e the first derivative of t**2 - 4*t + 21. What is k(3)? 2 Suppose -2*l + 3*l = 4*m - 15, 4*m = -2*l + 18. Let z(v) be the first derivative of 4/3*v**3 + 1/4*v**4 + 2*v**2 + l + v. Calculate z(-3). -2 Let t(n) be the first derivative of n**3/3 + 5*n**2/2 + 3. Suppose -5*d + d - 20 = 0. What is t(d)? 0 Let s = -6 + 2. Let z(k) = k**2 - 4*k - 2. Let h be z(5). Let p(y) = -2*y**2 + 1 + 6*y**2 - 4*y**3 - 7*y**2 + 4*y + 3*y**h. Give p(s). 1 Let m(v) = 3*v**2 - v**3 + 2*v + 7 + 0*v**3 + v**2. Let r(k) = -2*k - 3. Suppose -32 = 7*f - 2*f - 4*o, -3*o + 29 = -5*f. Let t be r(f). Calculate m(t). -8 Let f = 6 + -9. Let n(t) = t**2 + 3*t - 4. Determine n(f). -4 Let h(z) = z**3 - 8*z**2 + 2*z - 4. Let k(y) = -y**3 + 9*y**2 - 3*y + 5. Let d(a) = 4*h(a) + 3*k(a). Suppose 6 = t + 1. What is d(t)? -6 Let t(w) = w. Suppose 2*b - 52 = 5*c - 14, -3*b = -2*c - 24. Determine t(c). -6 Let p(g) = -g - 13. Let i(m) = -m**3 + 2*m**2 + 3*m + 3. Let a be i(3). Let d(n) = -n + 3. Let h be d(a). Determine p(h). -13 Let c(b) = b**3 + b**2 - b + 4. Let j be c(0). Let x be -2*(2/j - -1). Let m(a) be the first derivative of a**4/4 + a**3 + a**2 - 3*a - 1. What is m(x)? -9 Let o(z) be the second derivative of z**4/12 + 2*z**3/3 - 2*z**2 - 42*z. Determine o(-5). 1 Let s(t) = -t - 8 - t + 2*t + 4*t. What is s(6)? 16 Suppose 3*d = 6*d - s - 14, 0 = 5*s + 25. Let r(f) = -1 - f**2 + 0*f**2 + 2*f + 4 - 2. Determine r(d). -2 Let w(f) = 7*f**3 - 7*f**2 - 7*f - 2. Let y(v) = -10*v**3 + 10*v**2 + 10*v + 3. Suppose -h = 3*h + 28. Let c(s) = h*w(s) - 5*y(s). Calculate c(2). 1 Let l(t) = 9*t - 1. Suppose -2*n - 10 = w + w, 0 = -3*n - 12. Let c be ((-2)/2)/(w/(-1)). Give l(c). -10 Let j(b) = -b**2 + b - 3. Let t(h) = h**2 - h + 4. Suppose 0 = -3*k - 0*k + 3, 0 = -a - 5*k. Let n be a*(-2)/(-4)*-2. Let x(s) = n*t(s) + 6*j(s). What is x(-2)? -4 Suppose 4*p + p = 15. Let a(b) = b**2 - 7*b + 4. Give a(p). -8 Let b(z) = 7*z + 8*z - 16*z - 1. Give b(-4). 3 Suppose 9 = 10*d - 21. Let m(t) be the first derivative of -t**4/4 + t**3/3 + 3*t**2/2 - 2. Give m(d). -9 Let k be (1/1)/(0 - -1). Let v(j) = 3*j**3 - j**2 - 2*j - 4. Let d(x) = 6*x**3 - 2*x**2 - 3*x - 7. Let h(u) = 3*d(u) - 5*v(u). Give h(k). 2 Let b(d) = -d - 1. Let p be 4 + 6 - (-1 - 3). Let r be (-1)/(p/(-4) + 4). Calculate b(r). 1 Suppose 0 = -5*v + v + 3*r + 10, 4*r = -3*v - 5. Let l(b) = -4*b + 1. Give l(v). -3 Let k(y) = -42*y + 8. Let a(w) = -14*w + 3. Let b(g) = -11*a(g) + 4*k(g). Give b(-1). 13 Let t(p) = -p**3 + 6*p**2 + p - 2. Let x be t(6). Let d(o) = -x + 4 + o. Give d(5). 5 Let g = 3 - 0. Let s be -3*(5/(-3) + g). Let p(v) = -v**2 - 5*v - 3. Let n be p(s). Let q(z) = 3*z + 1. Give q(n). 4 Suppose -t - 8 = -3*o, -3*t - 13 = -3*o - 1. Let u(f) = f**3 - 4*f**2 + 2*f + 1. Determine u(o). -3 Let y = 12 - 10. Let a(n) = -2*n**3 + 2*n**2 - 3*n. Determine a(y). -14 Suppose 4*o = o + 42. Let z = -17 + o. Let v(n) = -n**3 - 3*n**2 - n + 3. What is v(z)? 6 Let m(i) = 8*i + 19. Let f(a) = 10*a + 9. Let z(v) = -9*v - 9. Let t(o) = -5*f(o) - 6*z(o). Let b = -38 + 25. Let n(u) = b*t(u) + 6*m(u). Determine n(-2). 5 Let i(g) = 2*g + 8. Suppose 33 = -2*k + 21. Give i(k). -4 Let g(j) = j**3 - 5*j**2 - 3*j + 7. Let k(n) = n**3 - 5*n**2 + 5*n - 6. Let f be k(4). Let h be f/(34/(-10) + 3). Determine g(h). -8 Let p(v) = -v - 5. Let d be (2/(-2))/(7/(-126)). Let s be 76/d - 16/72. Give p(s). -9 Let u(r) = 2*r - 4. Let n be u(3). Let i(m) be the third derivative of 0*m - m**2 + 0 - 1/2*m**3 + 1/24*m**4. What is i(n)? -1 Let r(a) be the first derivative of a**4/4 + 3*a**3 + 4*a**2 + 12*a + 19. What is r(-8)? 12 Let m(k) be the first derivative of k**3/3 + 5*k**2/2 - k - 4. What is m(-4)? -5 Let d(l) = -l**3 + l - 45*l**2 - 3 + 2 - 1 + 42*l**2. Suppose 0*o = -3*o - 12. Calculate d(o). 10 Let u(v) be the second derivative of -v**5/20 + v**4/6 + v**3/6 - v**2 + 17*v. What is u(2)? 0 Let q(h) be the first derivative of -h**4/4 + 3*h**3 - 9*h**2/2 + 12*h - 23. Determine q(8). 4 Suppose 12 = -2*d + 5*d. Suppose 5*g + 5*s + 14 = -11, 5*g + 16 = d*s. Let l(n) = n - 2. Determine l(g). -6 Let i(n) = -2*n. Let y be i(2). Let a be (-30)/4*(-6)/(-9). Let m(k) = -5*k - 2. Let d(h) = -6*h - 3. Let w(r) = a*m(r) + 4*d(r). Calculate w(y). -6 Let c(x) be the first derivative of -x**3/3 + 4*x**2 - 5*x - 14. What is c(7)? 2 Let y(f) = -f**2 + 9*f - 2. Let r = -15 + 19. Calculate y(r). 18 Let y = 8 + -6. Suppose 0*h = y*h + 10. Let l(s) be the first derivative of -s**4/4 - 2*s**3 - 3*s**2 - s + 1. Determine l(h). 4 Let y be (1/(-2))/(2/(-16)). Let t(v) = -4*v + 5. Let n(s) = -s + 4 + 0*s - 3. Let b(z) = 5*n(z) - t(z). Calculate b(y). -4 Let l(n) = 3*n**3 - 3*n**2 - n - 8. Let a(w) = -4*w**3 + 4*w**2 + w + 8. Let q(f) = -2*a(f) - 3*l(f). Let v = -3 + 3. Give q(v). 8 Let n(g) = 4*g**3 + 4*g**2 + g - 4. Let o(m) be the first derivative of -9*m**4/4 - 8*m**3/3 - 3*m**2/2 + 8*m - 5. Let t(j) = -7*n(j) - 3*o(j). Calculate t(-4). -4 Let t(s) = -2*s + 9. Let w(b) = -b. Let q(y) = t(y) - w(y). What is q(4)? 5 Let u(d) = 2*d - 1. Let h be u(2). Let r(w) = -w**2 - w + 4*w**2 + 5*w + 1 - w**h. Let s be (1 - 0) + 1 - -2. Determine r(s). 1 Let s = -6 + 2. Let l(a) = a**3 + 4*a**2 - a - 3. What is l(s)? 1 Let s(y) = y**3 + 4*y**2 + y + 6. Let d be (-2)/(-4) + -2 + (-140)/40. Give s(d). -24 Let c(k) = k**3 - 3*k**2 + 2*k - 4. Let u be c(3). Let l(m) = -4*m + 1. Let o(i) = 3*i - 1. Let r(a) = 5*l(a) + 4*o(a). Determine r(u). -15 Let l(u) = u**2 - 5*u - 9. Suppose 23 = h - 5*y, -h + 3*y + 9 = -8. Give l(h). 15 Let b(q) be the third derivative of 0*q - 5*q**2 - 1/30*q**5 + 1/8*q**4 + 0 - 1/120*q**6 - 2/3*q**3. What is b(-3)? -4 Let u(s) be the first derivative of s**4/12 + s**3/2 - s**2/2 - 1. Let t(g) be the second derivative of u(g). What is t(-2)? -1 Suppose -5*n + 20 = -0*n. Suppose -3*o - 10 = -u - n*o, -50 = -4*u - 2*o. Suppose 2*k = 5*k + u. Let d(y) = -y. What is d(k)? 5 Let x(p) = -p + 4 + 7*p - 5*p. Calculate x(-6). -2 Let r(k) be the third derivative of -k**7/840 + k**5/60 - k**4/24 + k**3/2 + k**2. Let j(h) be the first derivative of r(h). Give j(1). 0 Suppose -14 + 4 = x. Let n = x - -14. Let g(y) = y**2 - 1 + 2*y + y**3 - n*y**2 - 1. What is g(3)? 4 Let a = -1 - -3. Let s = a + -1. Suppose -3*g - s = -4*g. Let l(v) = 2*v - 1. Determine l(g). 1 Let d be 8/12 - 4/6. Suppose -5*k - 10 = d, -2*k + 3*k = -4*s - 2. Let y(u) = -u**2 - u + 6. Give y(s). 6 Let p(s) = s - 5. Suppose 5*r = a - 27, a - 2*a + 3 = -r. Calculate p(r). -11 Let h(k) = -k**3 - 12*k**2 - 13*k - 1. Let b(r) = r**2 + r + 1. Let q(w) = 3*b(w) + h(w). Calculate q(-8). 18 Let g(r) = r**2 - 7*r. Let a(v) = -v**2 + 8*v. Let n(f) = 3*a(f) + 4*g(f). Give n(-3). 21 Let p(t) be the first derivative of t**2/2 + 10*t + 30. Determine p(-5). 5 Let o(g) be the first derivative of 3*g - 6 + 1/2*g**2. Give o(-5). -2 Let u(y) be the second derivative of -y**3 + y. Let q(t) = -t + 6. Let z be q(7). Determine u(z). 6 Let d(m) = 2*m - 4*m + 3*m + 15*m**2. Calculate d(-1). 14 Suppose -3*y + 9 = 3*q, -3*y + 2 + 4 = 0. Let z = q - 0. Let j(v) = -9*v + 1. Give j(z). -8 Let p(m) = -3*m**2 - 22*m - 2 + m + m**3 + 10*m + 8*m. Calculate p(3). -11 Let d(o) = o - 5. Let l(p) = p**3 - 10*p**2 + 8*p + 7. Let v be l(9). Let z be ((-2)/v)/(1/(-5)). Give d(z). -10 Let g(b) = -b**3 + 7*b**2 - 4*b - 4. Suppose 3*n - 10 = 8. What is g(n)? 8 Let g(z) be the first derivative of -z**4/4 + 8*z**3/3 - 7*z**2/2 - 2*z + 19. Determine g(7). -2 Let p(t) = 3*t + 1. Let v = -22 - -16. Let a be 9/v*8/4. Determine p(a). -8 Let u(i) = -7*i + i**2 + 9 - 8 + 9*i - 8. Calculate u(-5). 8 Let k = 1 + 0. Suppose -4*a = 19 + k. Let j(r) = r**2 + 4*r - 2. Let d be j(a). Let u(c) = -c**3 + 4*c**2 - 2*c + 1. What is u(d)? 4 Let m(z) = 5*z - 40. Let a be m(8). Let r(n) be the third derivative of 1/8*n**4 - 2*n**2 + 0 + 1/30*n**5 + 1/3*n**3 + a*n. Give r(-2). 4 Let i(j) = -3*j**3 + 3*j**2 - 2*j + 3. Let a = -13 + 9. Let u(f) = 4*f**3 - 3*f**2 + 3*f - 3. Let p(t) = a*u(t) - 5*i(t). Let w = -2 + 0. Determine p(w). -3 Let q(a) = -4*a**2 + 2*a**2 + 3*a + a. Suppose 4*c + 14 + 4 = -2*f, -4*f - 5*c = 24. Let r be (1/(-2) + f)*-2. Determine q(r). -6 Let p(n) = -n - 1. Let a(x) = 2*x - 1. Let d be a(-3). Calculate p(d). 6 Let t = -7 - -12. Let r(m) = 16*m**3 - 31*m**2 - 46*m - 1. Let
{ "pile_set_name": "DM Mathematics" }
that 3*n**5 - 8916*n**4 + 7763295*n**3 - 1693243950*n**2 + 109726176000*n - 212741340000 = 0. 2, 140, 1345 Factor 4*z**4 - 760*z**3 - 107556*z**2 - 212040*z. 4*z*(z - 285)*(z + 2)*(z + 93) Factor -4*j**2 - 149448*j + 80638432. -4*(j - 532)*(j + 37894) Suppose m**2/7 + 52608*m/7 + 10533807/7 = 0. Calculate m. -52407, -201 Let -w**5/2 - 125545*w**4/4 + 62781*w**3/4 + 125545*w**2 - 62773*w = 0. What is w? -62773, -2, 0, 1/2, 2 Factor 2*d**3 - 12412206*d**2 + 24824406*d - 12412202. 2*(d - 6206101)*(d - 1)**2 Determine l so that 3*l**2/7 - 675576*l/7 + 14177835 = 0. 147, 225045 Determine j so that -j**3/5 + 232*j**2/5 - 3533*j/5 - 68266/5 = 0. -11, 29, 214 Determine v so that -2*v**5 + 25698*v**4 + 1160138*v**3 + 4152150*v**2 - 3634632*v - 19031544 = 0. -41, -3, 2, 12894 Find q, given that 2*q**3 - 14838464*q**2 + 27522531411816*q - 110089888231968 = 0. 4, 3709614 Let 3*o**3 - 5802*o**2 + 616629*o + 1256490 = 0. What is o? -2, 115, 1821 Let 2*q**5 - 754*q**4 - 5382*q**3 + 2194*q**2 + 42340*q - 38400 = 0. What is q? -5, 1, 2, 384 Determine b, given that b**3/4 + 5384715*b**2/2 + 7248786215448*b - 14497583200328 = 0. -5384716, 2 Factor 2*v**2/5 - 4220652*v/5 - 3376528. 2*(v - 2110330)*(v + 4)/5 Suppose 2*g**4 - 8484*g**3 + 690392*g**2 + 8484*g - 690394 = 0. What is g? -1, 1, 83, 4159 Determine p so that 4*p**5 - 172*p**4 - 160*p**3 + 42256*p**2 + 272640*p + 230400 = 0. -8, -1, 30 What is j in j**4/3 - 628*j**3 + 11222*j**2 + 3297436*j/3 + 1087295 = 0? -33, -1, 53, 1865 What is t in -4*t**3 + 179528*t**2 + 12046332*t = 0? -67, 0, 44949 Suppose -2*x**5/11 + 260*x**4/11 + 5556*x**3/11 + 16024*x**2/11 - 33970*x/11 - 44700/11 = 0. What is x? -15, -5, -1, 2, 149 Find b, given that -2*b**4 + 564*b**3 - 38038*b**2 + 99156*b + 655200 = 0. -3, 6, 104, 175 Factor d**3/5 + 961*d**2 + 607619*d/5 - 122485. (d - 1)*(d + 131)*(d + 4675)/5 Factor -z**3/4 - 6277*z**2/2 - 1024385*z/4 - 5241358. -(z + 41)**2*(z + 12472)/4 Let z**3 + 87435*z**2 + 1910563875*z - 28678134375 = 0. What is z? -43725, 15 Factor 2*i**2/9 - 1385452*i/9 + 1385450/9. 2*(i - 692725)*(i - 1)/9 Let -4*v**3/3 - 55822*v**2/3 - 251132*v/3 - 195314/3 = 0. What is v? -13951, -7/2, -1 Solve 4*d**2/5 + 81724*d/5 - 7634928/5 = 0. -20524, 93 Find y such that 27*y**5/7 - 3825*y**4 - 224376*y**3/7 - 623424*y**2/7 - 576000*y/7 = 0. -3, -8/3, 0, 1000 Suppose 2*b**5/9 - 3140*b**4/3 - 14702*b**3 + 217088*b**2/9 + 113416*b - 188960 = 0. What is b? -15, -3, 2, 4724 Solve -l**2/5 + 5733*l/5 + 2043464 = 0 for l. -1427, 7160 Let -h**5/7 - 2342*h**4/7 + 2968858*h**3/7 - 778117276*h**2/7 + 221048193*h - 110312370 = 0. What is h? -3310, 1, 483 Determine m so that -2*m**2 + 11654*m - 6151760 = 0. 587, 5240 Factor y**5 + 7316*y**4 + 1542051*y**3 + 109258632*y**2 + 2539626048*y - 2650434048. (y - 1)*(y + 72)**3*(y + 7101) Let -3*d**5 - 899028*d**4 - 67368661644*d**3 - 2155106768256*d**2 - 17239013133312*d = 0. What is d? -149822, -16, 0 Factor l**3/4 - 4387*l**2/4 - 266806*l + 537997. (l - 4618)*(l - 2)*(l + 233)/4 Suppose -2*y**2 - 134498*y + 2287044 = 0. What is y? -67266, 17 Determine t so that -262*t**3/23 + 2334*t**2/23 - 5930*t/23 + 3858/23 = 0. 1, 3, 643/131 Solve 3*a**3/5 + 19625*a**2 + 1601924*a/5 + 523072/5 = 0. -32692, -16, -1/3 Find l, given that -l**2/6 + 53135717*l - 318814301/6 = 0. 1, 318814301 Find i such that -3*i**5 + 2973*i**4 - 774489*i**3 + 18272547*i**2 + 130868784*i + 207000684 = 0. -3, 33, 482 Suppose -g**2 + 178307028*g - 7948349058548196 = 0. Calculate g. 89153514 Factor x**2/4 - 2897*x/4 + 31625/2. (x - 2875)*(x - 22)/4 Suppose -2*t**2/9 - 2792*t/3 - 91894/9 = 0. What is t? -4177, -11 Solve -4*m**4/9 - 4280*m**3/3 + 323564*m**2/9 + 68480*m/3 - 5176000/9 = 0 for m. -3235, -4, 4, 25 Suppose -5*u**3 - 186770*u**2 + 10475685*u + 33107850 = 0. What is u? -37410, -3, 59 Determine r, given that -3*r**3 - 32049*r**2 - 672030*r - 3454488 = 0. -10662, -12, -9 Let 5*m**4 + 36915*m**3 + 28938165*m**2 + 7962848825*m + 740471659290 = 0. Calculate m. -6534, -283 Factor 5*t**4 - 585738020*t**3 + 17154451403676020*t**2. 5*t**2*(t - 58573802)**2 Let -276*h**4 - 7122411*h**3 + 8284008*h**2 - 1006479*h - 154842 = 0. Calculate h. -25807, -2/23, 1/4, 1 What is l in -2*l**5/7 + 978486*l**4/7 - 119663209734*l**3/7 - 3950019089062*l**2/7 + 8259023893392*l/7 - 598477510440 = 0? -35, 1, 244638 Determine d so that 2*d**2 - 195206*d + 1171164 = 0. 6, 97597 Determine c, given that -c**4/4 + 366829*c**3/4 - 1558962*c**2 + 4034939*c - 2567684 = 0. 1, 2, 14, 366812 Suppose 2*w**3 + 1234*w**2 - 383112*w - 3546504 = 0. Calculate w. -842, -9, 234 Determine l, given that 5*l**4 - 1374775*l**3 - 2749585*l**2 + 4124355*l = 0. -3, 0, 1, 274957 Find a such that -a**2/4 - 4351*a/4 - 1181775 = 0. -2251, -2100 Determine v, given that 38898*v**4 - 350097*v**3 + 933687*v**2 - 622728*v + 240 = 0. 5/12966, 1, 4 Factor -5*h**3 + 189700*h**2 - 1517315*h + 1327620. -5*(h - 37932)*(h - 7)*(h - 1) Solve -19*l**2/4 - 345777*l/4 + 18199 = 0 for l. -18199, 4/19 Let 2*v**3/7 + 558*v**2/7 - 904740*v/7 - 129328 = 0. What is v? -826, -1, 548 Factor -5*g**2/3 - 311495*g - 934480/3. -5*(g + 1)*(g + 186896)/3 Determine r, given that -2*r**2/7 + 549350*r/7 + 1648068/7 = 0. -3, 274678 What is z in 5*z**2 - 32142690*z - 385713000 = 0? -12, 6428550 Let 2*v**5 - 1220*v**4 - 84278*v**3 - 1342336*v**2 - 1095624*v + 2523456 = 0. What is v? -39, -24, -2, 1, 674 Find p such that p**2 - 9998*p + 2160717 = 0. 221, 9777 What is l in -2*l**4/11 + 12390*l**3/11 - 19045074*l**2/11 - 448734406*l/11 + 579952860 = 0? -33, 10, 3109 Factor 2*n**4/5 - 5930172*n**3/5 - 17790528*n**2/5 - 17790532*n/5 - 5930178/5. 2*(n - 2965089)*(n + 1)**3/5 Find x such that -x**4/2 - 8021*x**3/2 - 17849077*x**2/2 - 6882763119*x/2 - 20327871591 = 0. -3769, -477, -6 Solve 2*f**2/5 - 2886608*f/5 + 11546272 = 0 for f. 20, 1443284 Find s such that 2*s**5/11 + 1903090*s**4/11 - 4*s**3/11 - 3806180*s**2/11 + 2*s/11 + 1903090/11 = 0. -951545, -1, 1 Find t such that 457100*t**3/11 - 132970*t**2 - 658384*t/11 - 72/11 = 0. -2/5, -1/9142, 18/5 Suppose 53062570*f**2 + 212250276*f - 16 = 0. Calculate f. -4, 2/26531285 Factor 2*j**2/13 - 4950470*j/13. 2*j*(j - 2475235)/13 Factor -2*q**2 + 927674*q - 927672. -2*(q - 463836)*(q - 1) Solve 3*g**2 - 194581662*g + 3155168598890187 = 0. 32430277 Suppose 3*u**5 - 7740*u**4 + 1008837*u**3 - 45814164*u**2 + 753396336*u - 1874473920 = 0. Calculate u. 3, 44, 2445 Solve -3*q**5 + 6903*q**4 + 69423*q**3 - 214659*q**2 - 609960*q - 332784 = 0 for q. -12, -1, 4, 2311 Let -10*l**4/7 - 38412*l**3/7 + 1002654*l**2 - 5582588*l/7 - 1397568/7 = 0. Calculate l. -4016, -1/5, 1, 174 Solve 4*r**3 - 2558104*r**2 - 5116220*r - 2558112 = 0. -1, 639528 Solve g**4 + 5423788*g**3 + 7354363643446*g**2 - 14708743558260*g + 7354374491025 = 0 for g. -2711895, 1 Determine u so that -110*u**4/9 - 199552*u**3/9 + 377642*u**2/9 - 156188*u/9 - 7264/3 = 0. -1816, -6/55, 1 Solve 4*h**2/5 - 107992312*h/5 + 728896215694084/5 = 0 for h. 13499039 Suppose 3*p**2 - 257436*p - 772335 = 0. What is p? -3, 85815 Find w such that -2*w**2 - 5112*w + 281880 = 0. -2610, 54 Determine y, given that -5*y**5 + 6970*y**4 - 688890*y**3 + 23552180*y**2 - 278941705*y + 256071450 = 0. 1, 29, 37, 1290 Find b such that -4*b**4 + 4504180*b**3 - 108098592*b**2 + 648588096*b = 0. 0, 12, 1126021 Determine q so that 22*q**3 - 31684*q**2 + 11276712*q - 2049264 = 0. 2/11, 642, 798 Find o such that -3*o**5 + 15843*o**4 + 1251522*o**3 + 13400628*o**2 - 476265048*o = 0. -46, 0, 14, 5359 Factor 5*o**3 + 1051250*o**2 + 55257379360*o + 110510553760. 5*(o + 2)*(o + 105124)**2 Let -2*c**2 + 861776*c + 11203426 = 0. Calculate c. -13, 430901 Let 4*q**3/5 - 6608*q**2/5 - 4915056*q/5 + 9856512/5 = 0. Calculate q. -558, 2, 2208 Suppose h**2/2 + 18597207*h/2 - 18597209 = 0. What is h? -18597209, 2 Factor 16*q**2/9 - 3919898*q/9 - 1469982. 2*(q - 244997)*(8*q + 27)/9 Factor 5*l**2 - 89346570*l + 89346565. 5*(l - 17869313)*(l - 1) Factor -2*q**3 - 61408432*q**2 - 471374440087328*q. -2*q*(q + 15352108)**2 Suppose -2*w**4 + 13192*w**3 + 25337286*w**2 + 10858187660*w + 43028198864 = 0. Calculate w. -809, -4, 8218 Factor -5*u**2 - 1597190*u - 4791525. -5*(u + 3)*(u + 319435) Factor -3*r**3/5 - 1539*r**2 - 15330*r. -3*r*(r + 10)*(r + 2555)/5 Find i su
{ "pile_set_name": "DM Mathematics" }
h is smaller: -6620614 or -6620615? -6620615 Is 0 at least as big as -78/110705? True Is 1/1953 greater than -42429/10? True Which is bigger: 59 or 453976? 453976 Which is greater: -1 or 61/56556404? 61/56556404 Which is bigger: 20293460/7 or 12? 20293460/7 Which is smaller: 408 or 206788/507? 206788/507 Are 6071846/861 and 7051 equal? False Which is smaller: -3902253/7 or -557465? -557465 Which is greater: 85963555 or 0.1? 85963555 Which is smaller: -198797971 or -198797972? -198797972 Which is greater: 14908625/6 or 2484771? 2484771 Which is smaller: -120 or -80561/677? -120 Is 5305305 not equal to 5305309? True Which is smaller: 188/470137 or -1? -1 Is 4052353 greater than or equal to 4052276? True Is 1276578 greater than or equal to 1276568? True Which is smaller: 177013542 or 885067707/5? 885067707/5 Which is bigger: 4/1371233173 or 1? 1 Is -11 < -29966/2907? True Is 7421558 bigger than 7421533? True Which is greater: -0.7592848 or 1? 1 Which is smaller: -108170 or 768? -108170 Is -38885 smaller than -38930? False Which is smaller: -1 or 1/267516742? -1 Which is smaller: 170.23 or -1971? -1971 Which is greater: -0.0601 or -19.1616? -0.0601 Is -1 at most -787/43660? True Is -630 at most 2/176535? True Is 11189559 <= 11189559? True Which is smaller: 0 or 1/383145837? 0 Is -12770749 at least as big as -12770747? False Is 0 at most -2342004? False Which is smaller: -226 or 6967? -226 Which is bigger: 7.2 or -6152.22? 7.2 Which is greater: 45/43 or -4048? 45/43 Which is smaller: -5 or -23255/3681? -23255/3681 Which is smaller: 7522968 or 67706707/9? 67706707/9 Is 57836 bigger than 57554? True Is -74126827 >= -74126831? True Which is smaller: -68260 or -67552? -68260 Which is smaller: -1413798/17 or -83166? -83166 Which is smaller: -2 or -14264/16533? -2 Which is greater: 4.8471 or 46? 46 Is -233938043 greater than or equal to -233938041? False Which is smaller: 3.17 or 9380? 3.17 Do 6/355 and 1140/49 have different values? True Are 1077603595 and 1077603596 equal? False Which is greater: -0.777727 or 2111? 2111 Are -1/4 and 0.04129893 nonequal? True Which is smaller: 0 or 139/40510? 0 Is 270906/8695 less than 30? False Are -36735855/61 and -602226 non-equal? True Does -1724649 = 0.22? False Which is bigger: 2346132 or 2346118? 2346132 Which is bigger: -1 or 3117/481103? 3117/481103 Do 0 and -2/244100693 have different values? True Is 3339809/710 < 4705? True Is 391.26863 at least 0? True Which is smaller: -60845/3769 or -16? -60845/3769 Which is bigger: 17548.73 or -0.0745? 17548.73 Is 16075069 < 16075074? True Is -1 at most as big as 31/1492624? True Does 84 = -80567? False Does -330918 = -992756/3? False Which is smaller: -2 or -4026319? -4026319 Which is smaller: -22/31775 or -1? -1 Which is smaller: -60 or -221855/3616? -221855/3616 Is 193207290 > 193207290? False Is 108281070/17 < 6369476? True Are 2 and 13796/22849 unequal? True Is -35/8 > -38240/177? True Is 8 at most 27013/3637? False Which is smaller: 828238 or 828279? 828238 Is -292751 less than or equal to -2634752/9? True Which is smaller: -16294650 or -16294623? -16294650 Which is bigger: -188/111839 or 0? 0 Is 2390582 > 2390622? False Is -0.1 smaller than -3220/867? False Which is bigger: -82669 or -7/747? -7/747 Do -977496 and -22482389/23 have different values? True Which is smaller: 1234 or 1902/43? 1902/43 Which is bigger: -20066562 or -20066561? -20066561 Is 7562 greater than -2754? True Is 0 at most -2617/86154? False Which is bigger: -1/4 or 1482/310355? 1482/310355 Which is smaller: 839743 or -73? -73 Which is greater: 1/3914 or -1/436? 1/3914 Which is smaller: -1/3 or 2155546? -1/3 Which is bigger: 1127171 or 1127174? 1127174 Which is bigger: -1674337/65 or -25758? -25758 Is 0 < 32/323931? True Which is greater: -83573964 or -83573965? -83573964 Which is smaller: 535767 or 535750? 535750 Is 2 at most 16188/20563? False Which is smaller: 369968 or 369796? 369796 Which is greater: 2790295 or 2790299? 2790299 Which is smaller: 14627 or -19970? -19970 Which is smaller: 955494.108 or 0? 0 Is 456200 at least as big as 456198? True Which is bigger: -743577.21 or 0? 0 Which is smaller: -1 or -19702/46317? -1 Which is bigger: -1277421 or -1277427? -1277421 Which is smaller: -1 or -6/110242931? -1 Which is greater: 0.13 or 14.08359? 14.08359 Which is smaller: -2/8235 or -340? -340 Is 51182140/3 > 17060712? True Is 1 at least as big as 5211/7048? True Which is smaller: 30 or -2292.6649? -2292.6649 Is 246090 bigger than 246090? False Is -182817175 <= 3? True Which is greater: -1189/32 or -15? -15 Are -21983 and -281 unequal? True Does -29168221 = -29168221? True Which is bigger: -37497 or -37055? -37055 Is 66662 greater than 66186? True Which is smaller: 1 or -810/168379? -810/168379 Is -6582320 less than -6582321? False Is 905433.4 greater than 140? True Which is smaller: -13887271 or 0.2? -13887271 Which is smaller: 1093792 or 3? 3 Which is bigger: -2/1779615 or 1? 1 Is -133535 at most -4406645/33? True Is -67/5669984 at most -1? False Which is bigger: -35700/269 or 61? 61 Which is smaller: -12782 or -15592? -15592 Which is smaller: 1 or 2/680406799? 2/680406799 Is -106108579 at least as big as -106108583? True Which is bigger: 103317152 or 0? 103317152 Which is smaller: -830069 or -829982? -830069 Is -1 at most -213/261520? True Which is bigger: 2/17793437 or 1? 1 Is 13082892/43 at most 304252? False Which is smaller: -1263 or -2/33667? -1263 Which is smaller: -3303930/251 or -13164? -13164 Are 0.74 and 143302 equal? False Is 111229 less than 9.31? False Which is bigger: 9831602 or 9831621? 9831621 Which is smaller: 4878 or -81641? -81641 Which is smaller: -137514 or -136738? -137514 Are 1459702557 and 1459702559 equal? False Which is smaller: 147858/11 or 22.9? 22.9 Which is greater: -221/23 or 9320? 9320 Which is greater: 5864/4783 or 1? 5864/4783 Which is smaller: -1304/268157 or 0? -1304/268157 Is 2056 < 0.2901? False Which is greater: -122099 or -122031? -122031 Is 1 smaller than -1/86549824? False Is 34953478 not equal to 34953477? True Is -1/131476 not equal to 146? True Which is smaller: -7.46 or 223/863? -7.46 Is 27332 > 491995/18? False Is -19 less than or equal to -62/63207? True Is -99 at least 249309? False Is -52542289/3 at least -17514097? True Which is smaller: -9945705 or -9945704? -9945705 Which is smaller: 3044435 or 3044430? 3044430 Which is smaller: -47536379 or -47536380? -47536380 Which is smaller: -87669 or -87494? -87669 Are -1/132 and -1660001.7 non-equal? True Which is smaller: 1 or -1/1889775811? -1/1889775811 Is -6/22299925 smaller than -1? False Which is greater: 2259654 or 2259663? 2259663 Which is smaller: 122942876 or 122942877? 122942876 Which is bigger: 4873117 or 4873114? 4873117 Is 288938 <= -2? False Is -69802152 > -69802146? False Are -28591605 and 2 equal? False Which is smaller: 159059/787 or 202? 202 Is 0 greater than 23/27761549? False Which is smaller: -58227052/47 or -1238873? -58227052/47 Is 17358 < 0.019? False Is 234729 at most 234859? True Is -5871 bigger than -2765177/471? False Is 127278/5567 greater than 23? False Which is bigger: -674693 or 2/3? 2/3 Which is smaller: -4/81 or 0.2841372? -4/81 Which is smaller: -68777365 or -0.3? -68777365 Is 8207.365 greater than -0.6? True Is -518 at most 36340? True Which is bigger: -31279094 or -31279093? -31279093 Which is smaller: 16722105 or 83610529/5? 16722105 Is -46 less than 900853? True Which is smaller: 981321 or 981303? 981303 Is -1 <= -23/12626958? True Do 580/49 and -163 have different values? True Is 6942263 greater than 13884525/2? True Which is bigger: 4471915/9 or 496880? 496880 Do -1/37000 and -8240 have different values? True Which is smaller: -10302991 or -133938866/13? -10302991 Which is bigger: -13997388/23 or -608581? -608581 Is 1.226 smaller than -776? False Is 1 less than -5432/314905? False Which is smaller: -1 or -1067939? -1067939 Which is smaller: -127885 or -127905? -127905 Is 14528502 at most 14528502? True Are 0 and -1935/71456 unequal? True Is -16185136 greater than -16185137? True Is 8921881 > 8921879? True Which is greater: 0 or -2/108063817? 0 Which is smaller: -3273 or -4296? -4296 Is -0.0778402 at least -22? True Is 2/487 >= 1932917? False Is 870 at
{ "pile_set_name": "DM Mathematics" }
e 91 = 12*k + 55 for k. 3 Solve 13*j + 780 = j - 40*j for j. -15 Solve -1172 = 248*m - 4644 for m. 14 Solve -14*t - 66 = -122 for t. 4 Solve -185*y - 8768 = 129*y - 2488 for y. -20 Solve 215*y - 1569 = -44*y - 4159 for y. -10 Solve 28*x = -1817 + 1593 for x. -8 Solve -908*w + 15470 = 2*w for w. 17 Solve 18*b - 11*b + 9*b = 32 for b. 2 Solve 2731 + 5641 = 598*u for u. 14 Solve 148*k - 216*k + 340 = 0 for k. 5 Solve 281 - 713 = 16*a for a. -27 Solve -1870*b + 3737*b + 84 = 1860*b for b. -12 Solve -120*d = 157*d + 2770 for d. -10 Solve -839*u = -1095*u - 2048 for u. -8 Solve 39*k + 449 + 314 = 217 for k. -14 Solve -9*a = 3*a + 104 - 20 for a. -7 Solve 198*g - 2550 = 1608 for g. 21 Solve -254*x - 120 = -133 + 521 for x. -2 Solve 28*n = -19 - 62 - 3 for n. -3 Solve 0 = 1084*v - 381*v - 18981 for v. 27 Solve 148*i = -41*i - 37*i + 3390 for i. 15 Solve -92*b - 456 = -640 for b. 2 Solve 162 = -190739*f + 190730*f for f. -18 Solve -17*v - 21*v + 741 = v for v. 19 Solve 4*b - 36 + 57 - 25 = 0 for b. 1 Solve l + 72 = 13*l for l. 6 Solve -193*f = 359*f + 552 for f. -1 Solve 0 = 82*x - 48*x - 850 for x. 25 Solve -512 = 138*b + 127*b + 6643 for b. -27 Solve -6*h = 30 + 19 + 5 for h. -9 Solve -49*w + 184*w + 1974 = 354 for w. -12 Solve 584*y = 369*y + 2580 for y. 12 Solve 0 = -12*b + 18936 - 19008 for b. -6 Solve 0 = -20445*r + 20471*r - 546 for r. 21 Solve 35*l - 659 = -204 for l. 13 Solve 29*y - 11*y = -13*y - 217 for y. -7 Solve 33*i - 29*i = 104*i + 200 for i. -2 Solve 0 = -54191*j + 54202*j + 231 for j. -21 Solve -1626*b = -1585*b + 943 for b. -23 Solve -10*w = 17 + 8 - 35 for w. 1 Solve 99 = 2*t + 85 for t. 7 Solve 0 = 255*q + 835 + 219 + 476 for q. -6 Solve -2*b = -14*b - 1107 + 951 for b. -13 Solve 21*v + 16*v - 243 = 10*v for v. 9 Solve 112*u - 941 = -105*u + 361 for u. 6 Solve -53*x + 374*x = 4815 for x. 15 Solve 141*i - 139*i + 353 = -351*i for i. -1 Solve -85 = 48*q + 683 for q. -16 Solve -1520 = 50*n - 130*n for n. 19 Solve 48*n + 9477 = -34*n - 269*n for n. -27 Solve 28*u = -135*u - 68*u - 4389 for u. -19 Solve -36*w + 74*w + 32 = 36*w for w. -16 Solve 16*c = 20*c + 16*c - 100 for c. 5 Solve 4244*g + 1288 = 4336*g for g. 14 Solve -8600 = -10*y - 8480 for y. 12 Solve 377*n = 17*n - 149*n + 12216 for n. 24 Solve 85*a = 215*a + 281*a + 6165 for a. -15 Solve -34*i + 46*i - 206 = 46 for i. 21 Solve 90*z + 100*z - 524 = -72*z for z. 2 Solve 9107 + 6587 = -826*s for s. -19 Solve 50 + 239 = 9*u + 8*u for u. 17 Solve 851*n + 31*n - 18522 = 0 for n. 21 Solve -487*p + 63 = 63 for p. 0 Solve -100*k + 220 = 7*k + 113*k for k. 1 Solve -198*i - 177*i + 4052 + 4573 = 0 for i. 23 Solve -164*o + 1306 - 229 + 1055 = 0 for o. 13 Solve -752*j + 727*j + 775 = 0 for j. 31 Solve -201*c = -187 + 991 for c. -4 Solve -480 = -180*k + 100*k for k. 6 Solve 34 - 1698 = 128*i for i. -13 Solve 12*v = -22077 + 21933 for v. -12 Solve 44*w + 25 + 19 = -0 for w. -1 Solve -24*f - 9047 = -8255 for f. -33 Solve -83*n + 443 = -387 for n. 10 Solve 0 = -404*y - 318 - 3332 - 3622 for y. -18 Solve 0 = 24*n - 1508 + 740 for n. 32 Solve 2*p + 32 = 46 - 38 for p. -12 Solve -29 - 187 = -u - 17*u for u. 12 Solve -74*q - 80 = 364 for q. -6 Solve -14*x + 16*x + 10 = 4*x for x. 5 Solve 130*m - 67*m = 77*m + 56 for m. -4 Solve -34*z - 110*z + 302 + 130 = 0 for z. 3 Solve 62988*r - 14 = 62974*r for r. 1 Solve 27*h - 70*h + 990 = 12*h for h. 18 Solve -8888*o - 1147 = -8851*o for o. -31 Solve 223*f - 318*f + 950 = 0 for f. 10 Solve 11*m + 52*m - 1050 = -7*m for m. 15 Solve 255*w = -50*w + 2400 + 2175 for w. 15 Solve -972*c - 3019 + 33151 = 0 for c. 31 Solve 257*r + 75 = -1981 for r. -8 Solve 19 = -86*b - 927 for b. -11 Solve 34*m + 137 + 566 = -3*m for m. -19 Solve 27*h - 58 = -6 - 106 for h. -2 Solve -188*v = -27 - 1665 for v. 9 Solve 178*b + 1516 = 3830 for b. 13 Solve 47*h - 44 + 150 = -176 for h. -6 Solve 16330*v - 16408*v - 156 = 0 for v. -2 Solve -24*q - 250 = q for q. -10 Solve 0 = 23*g + 20*g + 18*g + 122 for g. -2 Solve -1837*v = -1853*v for v. 0 Solve -196 = 287*l + 952 for l. -4 Solve 116 = 3758*f - 3772*f - 10 for f. -9 Solve 1064 = 695*s - 751*s for s. -19 Solve 61*v + 285 - 628 = 572 for v. 15 Solve 545*q - 533*q = 60 for q. 5 Solve -77 = 118*s - 148 - 165 for s. 2 Solve 33*r - 127 = 42*r - 100 for r. -3 Solve 5*a + 27*a + 182 = 19*a for a. -14 Solve -13 = -59*g + 695 for g. 12 Solve 8*y = 13*y + 20*y - 375 for y. 15 Solve -31*j + 73*j = -756 for j. -18 Solve 386*w - 4058 - 6364 = 0 for w. 27 Solve 64*b + 413*b + 93*b = 3990 for b. 7 Solve -3060 + 3021 = -3*f for f. 13 Solve -222*h + 482*h + 175 = 235*h for h. -7 Solve -7739*j = -7755*j + 352 for j. 22 Solve -181*s = 5*s - 110*s - 1444 for s. 19 Solve -15*s = -4*s + 263 - 32 for s. -21 Solve -140 - 14 = 660*o - 646*o for o. -11 Solve -231 = 217*a - 806 - 293 for a. 4 Solve -1856*z = -1706*z - 2700 for z. 18 Solve -137*r + 725*r + 3722 = 21362 for r. 30 Solve 504 = 7*w + 623 for w. -17 Solve -197*u - 506 + 4052 = 0 for u. 18 Solve -1522 = 24*u - 1426 for u. -4 Solve -176*p - 719 + 1188 = -763 for p. 7 Solve -20*d - 28*d - 18*d = -330 for d. 5 Solve 164 - 192 = 4*w for w. -7 Solve 20*q - 78*q = -522 for q. 9 Solve 763*n - 744*n = -266 for n. -14 Solve 0 = 140*n + 3281 - 201 for n. -22 Solve 54*u + 249 + 1641 = -72*u for u. -15 Solve 155*c - 97917 = -96987 for c. 6 Solve 44*v - 547 = -63 for v. 11 Solve -24*t - 33*t = -7*t + 650 for t. -13 Solve -22*y - 9 - 189 = 0 for y. -9 Solve 224*s - 7741 = -744*s + 7747 for s. 16 Solve -964*i - 2984 - 10512 = 0 for i. -14 Solve 15*u - 122 - 58 = 0 for u. 12 Solve 65 = -12*s - 62 - 41 for s. -14 Solve -371 = 51*i + 190 for i. -11 Solve -116 + 88 = -33*v + 137 for v. 5 Solve -31 = -10*z + 9 for z. 4 Solve -1704*d = -1738*d + 442 for d. 13 Solve 0 = -3*i + 34*i + 341 for i. -11 Solve 15*p + 480 = 169 - 109 for p. -28 Solve 796*y - 1517 - 1342 = 1917 for y. 6 Solve 0 = 14*z - 172 + 326 for z. -11 Solve -249*o + 1742 + 2740 = 0 for o. 18 Solve 287 = 102*w - 290 + 169 for w. 4 Solve -17*m + 1464 = 1736 for m. -16 Solve -18 - 4 = 23*g + 1 for g. -1 Solve -12*n + 129 = -45*n - 10*n for n. -3 Solve 2*q + 10*q + 0*q - 48 = 0 for q. 4 Solve 20*z - 46387 + 46627 = 0 for z. -12 Solve 977*u + 983*u = 1966*u - 150 for u. 25 Solve 0 = -11*n + 29349 - 29195 for n. 14 Solve 0 = 3650*g - 3665*g + 83 - 383 for g. -20 Solve 114*o = 18*o - 43*o - 1668 for o. -12 Solve -23*i = -174 + 381 for i. -9 Solve 2029 - 1616 = 236*o - 2891 for o. 14 Solve -175089*x + 175128*x = 1326 for x. 34 Solve 2877 = 38*b - 122*b - 53*b for b. -21 Solve 10 + 2 = 3*v + 12 for v. 0 Solve 304 - 56 = 31*l for l. 8 Solve -90*j - 168 - 128 = 154 for j. -5 Solve -1999 = 388*k + 1881 for k. -10 Solve 1256*k + 6 = 1269*k + 45 for k. -3 Solve -38*b - 830 = -260 for b. -15 Solve 0 = -377*y + 354*y + 83 + 308 for y. 17 Solve 303*w - 396 = 267*w for w. 11 Solve 950 = -549*l + 2172 + 3719 for l. 9 Solve 0 = -4855*z + 4909*z + 540 for z. -10 Solve 0 = -1648*y + 348*y for y. 0 Solve 0 = -109*i + 24*i - 425 for i. -5 Solve 132*g - 355 = -2071 for g. -13 Solve 63*t + 2628 - 68 = -65*t for t. -20 Solve -32*b + 4567 - 4503 = 0 for b. 2 Solve -2651*h = -2777*h for h. 0 Solve 0 = 10*b + 21*b + 248 for b. -8 Solve 93*v + 7555 - 6904 = 0 for v. -7 Solve 9251 = 640*c + 2952 - 2661 for c. 14 Solve -1736*m + 855*m = -853*m for m. 0 Solve -5219 + 2977 = -442*k + 6156 for k. 19 Solve -215*q + 291*q - 2280 = 0 for q. 30 Solve -482*w - 2950 = 108*w for w. -5 Solve -195 = -30*p - 68*p + 33*p for p. 3 Solve 471*j = 443*j - 27 + 111 for j. 3 Solve -58 = 69*v - 955 for v. 13 Solve 400*o - 346*o = 0 for o. 0 Solve 6974 = -12*y + 6794 for y. -15 Solve -243*g + 185*g = -638 for g. 11 Solve 63*o + 60*o + 1159 = 184*o for o. 19 Solve -169 = 38*q - 305 - 358 for q. 13 Solve 0 = -7*a + 471*a + 5104 for a. -11 Solve -101*n = -49 + 958 for n. -9 Solve 431*q - 17267 = -14*q - 112*q for q. 31 Solve 13*t - 254*t - 47*t = 2016 for t. -7 Solve -26*s - 141 = 27 + 170 for s. -13 Solve 13463*l = 13677*l - 4708 for l. 22 Solve 0 = 11*x - 250 + 239 for x. 1 Solve 764 + 782 = 199*y - 2832 for y. 22 Solve 473 = -33*b - 191 + 37 for b. -19 Solve -23434*l + 23433*l + 23 = -9 for l. 32 Solve 0 = -14*b - 3*b + 24 + 197 for b. 13 Solve 96*l - 761 - 713 = -38*l for l. 11 Solve 0 = 10*i + 20*i + 360 f
{ "pile_set_name": "DM Mathematics" }
10. What is the third derivative of f(t) wrt t? 3048*t + 54 What is the third derivative of t**2 + 13*t**2 + 732*t**2 - 1728*t**4 + 609*t**4 wrt t? -26856*t Suppose 83 - 239 = -52*k. What is the second derivative of -18*j**k - 105*j - 101*j**3 + j**2 - 4*j + 33*j wrt j? -714*j + 2 What is the second derivative of -936*r - 226 + 226 + 751*r**2 - 208*r**2 wrt r? 1086 Let x(m) = -3*m**4 + 4*m**3 + 536*m + 441. Let d(g) = 2*g**4 - 3*g**3 - 534*g - 440. Let v(c) = 4*d(c) + 3*x(c). Differentiate v(p) wrt p. -4*p**3 - 528 Let h(v) be the first derivative of -6154*v**3/3 + 25*v**2/2 - 155*v - 199. Find the second derivative of h(x) wrt x. -12308 Let z(t) = -1781*t**3 - 470*t**2 - 3. Let f(u) = 2*u**3 - u**2 + 1. Let w(i) = 3*f(i) + z(i). What is the third derivative of w(v) wrt v? -10650 Let d be 7 + (16/(-4))/1. Find the third derivative of 29*p**4 - 87 - 8*p - 90 + 177 - d*p**6 - 3*p**2 wrt p. -360*p**3 + 696*p Suppose 188*c - 189*c + 60 = 0. Find the second derivative of -c*f**2 - 16 - 57*f + 123*f - 69*f wrt f. -120 What is the second derivative of 53*o - 1 + 1281*o**5 + 1 - 625*o**5 + 67*o wrt o? 13120*o**3 Let y(m) = 3*m**2 - 26*m - 6. Let i be y(9). What is the derivative of 11*w**3 - 2*w**3 + 28 - 2*w + 0*w**i + 0*w wrt w? 27*w**2 - 2 Let q(z) be the first derivative of -55*z**4/2 + 35*z**2/2 + 44*z - 3724. Find the second derivative of q(k) wrt k. -660*k Let t be -3 + 7/(28/(-12)). Let p be (-2 - 64/(-20))/(t/(-20)). Find the third derivative of -2*s**4 + s**4 - 11*s**4 + p*s**2 - 9*s**4 wrt s. -504*s Let t(x) = 16 - 37 - 1 + 2*x - 46. Let k(r) = -5*r**2 - r + 1. Let h be k(-2). Let v(z) = z - 23. Let m(p) = h*v(p) + 6*t(p). Differentiate m(b) wrt b. -5 Suppose 13*l = 139 + 576. What is the third derivative of -17*d**2 + 0*d**2 + l*d**2 + 47*d**4 wrt d? 1128*d Find the third derivative of -15*a**2 + 40*a**2 - 3*a**2 - 161*a**4 wrt a. -3864*a Find the second derivative of -1409*n**5 + n**2 - 175*n**5 + 487*n - n**2 wrt n. -31680*n**3 Let l(z) be the first derivative of -52/3*z**3 + 216*z + 0*z**2 - 68. Differentiate l(a) wrt a. -104*a What is the derivative of 218*z**2 - 78*z**2 + 305*z**3 - 61*z**2 - 79*z**2 - 256 wrt z? 915*z**2 Let l(g) = g**3 - 8*g**2 + 8*g - 2. Let x be l(7). Let c be (-3*(-2)/4)/(12/64). Find the third derivative of 382*j**5 + 15*j**2 - c*j**6 - 382*j**x wrt j. -960*j**3 Let f(q) = -q**2 - 3*q + 1. Let k(j) = 786*j**2 - 804*j + 6. Let i(w) = 6*f(w) - k(w). What is the second derivative of i(z) wrt z? -1584 Let z(g) be the second derivative of 1549*g**6/30 + 10771*g**3/6 + 3*g + 284. What is the second derivative of z(n) wrt n? 18588*n**2 Let n(c) be the second derivative of 3*c**6/10 + 11*c**5/20 - 7*c**4/12 - 28*c**3 - 102*c - 8. Find the third derivative of n(u) wrt u. 216*u + 66 Let u(i) = -2289*i**2 + 27*i + 5133. Let c(k) = -328*k**2 + 4*k + 733. Let t(d) = -27*c(d) + 4*u(d). Differentiate t(o) with respect to o. -600*o Let g(d) be the second derivative of -2139*d**8/28 + 3*d**4/4 - 7*d**2/2 - d - 67. What is the third derivative of g(r) wrt r? -513360*r**3 Find the second derivative of -765*q**2 - 1920*q**2 - 1674*q**2 + 4457*q wrt q. -8718 Suppose 4*b - 7 + 0 = -z, -3*b = 4*z - 2. Find the first derivative of -18*c**b + c**2 - 12*c**2 + 44 + 6 wrt c. -58*c Let h(w) be the second derivative of 7083*w**5/20 - 1628*w**4/3 + w**3/6 + 746*w - 3. Find the third derivative of h(y) wrt y. 42498 Find the first derivative of 8286*w**3 - 950*w - 8283*w**3 + 8*w**2 - 2861 - 8*w**2 wrt w. 9*w**2 - 950 Let s be 3/(-18)*4 - (-16)/6. Find the second derivative of -14*l**2 + 10*l**2 + 7 + 27*l - 65*l**s - 21*l wrt l. -138 Let j(x) be the third derivative of -x**5/60 - 17*x**4/24 - 1567*x**3/6 + 1475*x**2. Find the first derivative of j(y) wrt y. -2*y - 17 Suppose 0 = 8*r - 3*r + t - 20, 25 = 4*r - t. What is the second derivative of -6*o**2 - 15*o**r + 6*o**2 + 67*o + 6*o**5 wrt o? -180*o**3 Let n(q) be the second derivative of 407*q**5/20 + q**4/3 - 41*q**3/2 - 9*q**2 - 7972*q. Find the second derivative of n(g) wrt g. 2442*g + 8 Suppose -3*g - 19 = -8*c + 3*c, 0 = 2*g + 6. Find the first derivative of -66688*b - 108*b**c + 66688*b - 107 wrt b. -216*b Suppose -46 + 66 = 5*u. What is the first derivative of -128 + 197 - 176 + 90*q**u wrt q? 360*q**3 Let b(j) = -231*j**3 - 92*j**2 - 1406*j + 47828. Let p(h) = 21*h**3 + 8*h**2 + 128*h - 4348. Let d(z) = 2*b(z) + 23*p(z). Differentiate d(r) wrt r. 63*r**2 + 132 Let p(w) = 21*w**2 + 106*w + 4. Let b(d) = -2 + 54*d**2 + 5 - 32*d**2 + 103*d. Let g(r) = -4*b(r) + 3*p(r). What is the second derivative of g(a) wrt a? -50 Let l(q) = -9084*q - 12879. Let x(v) = 2275*v + 3220. Let u(j) = 2*l(j) + 9*x(j). What is the first derivative of u(o) wrt o? 2307 Let a(v) = -8*v**3 - 81*v**2 + 27*v - 30. Let g(l) = 7*l**3 + 82*l**2 - 23*l + 30. Let n(k) = 5*a(k) + 6*g(k). What is the second derivative of n(u) wrt u? 12*u + 174 Let b(w) = -649*w**2 - 196. Let l(f) = -324*f**2 - 97. Let d(i) = 2*b(i) - 5*l(i). Find the first derivative of d(t) wrt t. 644*t Let m be 130/(-78)*189/(-30). Let k(j) be the second derivative of 25*j + 0*j**3 + 0 - m*j**2 + 5/2*j**4. Find the first derivative of k(d) wrt d. 60*d Let z(s) be the third derivative of 23*s**3 + 1/12*s**4 + 82 + 0*s - 2*s**2 + 2/15*s**5. What is the second derivative of z(q) wrt q? 16 What is the derivative of -1287644*y**3 + 1278 - 23*y**2 + 10*y - 10*y + 1287585*y**3 wrt y? -177*y**2 - 46*y Let j(k) be the second derivative of -5*k + 0*k**6 + 0*k**3 + 7/6*k**7 + 0*k**5 - 5 + 1/2*k**2 - 1/4*k**4. Find the third derivative of j(a) wrt a. 2940*a**2 Let c be -2 - -6 - (-28)/(-14). Find the third derivative of -278*k**c + 282*k**2 - 10 - 10*k**6 - 62*k**6 wrt k. -8640*k**3 What is the second derivative of 4966*s + 2*s**3 - 16827*s + 1980*s**5 + 8372*s wrt s? 39600*s**3 + 12*s Let u(t) = -t**2 + 31*t + 36. Let v be u(32). Find the first derivative of -77 - 148*q**v + 52*q**4 - 2 wrt q. -384*q**3 Find the third derivative of 174*x**5 - 4*x**6 + 180*x**2 - 1160 + 2*x + 3*x**6 - 192*x**2 - 2728*x**5 + 1301 wrt x. -120*x**3 - 153240*x**2 Let v(s) be the first derivative of 0*s + 0*s**4 - 314 - 281/2*s**2 + 0*s**3 + 259/5*s**5. What is the second derivative of v(p) wrt p? 3108*p**2 Let k be (-2 + 0)*(60/(-8))/5. Find the second derivative of -k + 6 + 7 - 4 - 5*l - l**5 + 54*l**3 wrt l. -20*l**3 + 324*l Suppose 0 = -7*a + 11*a, 5*a - 45 = -5*f. What is the first derivative of -136 + 41 - 7*o**3 + 60*o**4 + f*o**3 wrt o? 240*o**3 + 6*o**2 Let i(f) be the third derivative of -128*f**9/21 + 31*f**5/6 + f**3/2 + 3245*f**2. What is the third derivative of i(z) wrt z? -368640*z**3 Let w be 7736/48 + (-1)/6. Suppose -2*b = -r - w, b - 14*r + 13*r - 80 = 0. What is the derivative of -17*p - 59 - b + 164 wrt p? -17 Find the second derivative of -p**4 + 632*p**3 - 9 + 9 + 1217*p - 632*p**3 - 1263*p**5 wrt p. -25260*p**3 - 12*p**2 Find the second derivative of -45*t**2 + 53 - 55 + 479*t - 688*t**3 - 26*t**4 + 687*t**3 wrt t. -312*t**2 - 6*t - 90 Let n(b) = 6210*b**2 + 3571*b + 5. Let w(y) = 18638*y**2 + 10712*y + 16. Let f(q) = 16*n(q) - 5*w(q). What is the second derivative of f(z) wrt z? 12340 Let l(j) be the third derivative of -511*j**6/12 + 827*j**5/30 - 150*j**2. Find the third derivative of l(m) wrt m. -30660 Let y(l) be the third derivative of -109*l**6/120 + 7*l**5/20 - l**4/24 - 1826*l**3 - l**2 - 156*l - 4. Find the second derivative of y(s) wrt s. -654*s + 42 Suppose -5*g + 30 = 4*r - 39, -2*g + 28 = 2*r. Let t = g + 10. What is the first derivative of -15 + t + 23 - 8*l wrt l? -8 Suppose -3*l + 15 = 3*p, 0*l = -3*l - 2*p + 14. Find the second derivative of 109*u**l - 56*u + 40 + 41 - 81 wrt u. 1308*u**2 Find the second derivative of -551*t**2 - 1 + 1175*t**2 + 1312*t + 1460*t**2 wrt t. 4168 Suppose -2*l + l = -31. Let c = 33 - l. Find the second derivative of 29*h + 3*h**c + 0*h**2 + h**2 wrt h. 8 Let d(s) = -s**2 + 11*s - 28. Let i be d(5). What is the second derivative of -i + 2 - 2 + 29*k - 41*k**2 - 60*k**2 wrt k? -202 Let r(m) = 7167*m**2 + 11*m - 388. Let s(g) = -21502*g**2 - 37*g + 1163. Let d(j) = -7*r(j) - 2*s(j). Find the second derivative of d(o) wrt o. -14330 Let q be 4/(-3)*81/(-2). Suppose -58 = -y - q. Let n(k) = 16*k**2 + 4*k + 19. Let d
{ "pile_set_name": "DM Mathematics" }
Express 10*h**2 - 9*h**2 + 0*h**4 + h + 5*h**4 + 2 - 4*h**4 in the form t*h**2 + m*h + i + z*h**4 + b*h**3 and give t. 1 Rearrange (1 + 6 - 8)*(-6*a + 4 - 4)*(2*a - 1 + 1) to r*a + v + o*a**2 and give o. 12 Express -6 - 6*d - 6 + 15 - 7 + 83*d in the form p*d + t and give t. -4 Rearrange 1214*n + 558*n - 752*n to the form j + y*n and give y. 1020 Express 137*u**3 + 25*u**3 + 3 - 3 + 1 in the form b*u + y*u**2 + n*u**3 + i and give i. 1 Express 3 + 3*f**3 + f**4 + 6*f**2 + 3 - 8 + f**2 as a*f**3 + h*f**2 + m*f + i*f**4 + w and give a. 3 Express -2*j - 6 + 39*j**3 + 8 - 19*j**4 - 41*j**3 - 229*j**4 as z*j**4 + y + c*j**2 + t*j + n*j**3 and give t. -2 Express ((-1 + 4 - 1)*(2*b + 2 - 2) - b + b - 2*b + b - b + b - 1 - 2*b + 1 + 2*b - 2*b - 2*b)*(0 - 3 + 26*b + 5) in the form a*b + d*b**2 + w and give d. -26 Express -2*b + 3*b + 9*b**2 + 35*b**2 - 20*b**2 + 18*b**2 in the form n*b + w*b**2 + f and give n. 1 Express -p + 8 - 2*p**2 + 8 - 20 - p in the form r*p**2 + x*p + a and give r. -2 Express 4 + 6 - 2*h + 85*h**2 - 84*h**2 + (-4*h + 5*h - 3*h)*(-3*h + 4 - 4) in the form n*h**2 + u + k*h and give n. 7 Express (134 + 3 - 40 + 144)*(2*o - o - 3*o)*(19 + 11 - 5) in the form f + h*o and give f. 0 Rearrange -5 - 5 - 2*c + 3*c**2 + 0*c + c + 2*c to n + k*c**2 + z*c and give k. 3 Rearrange 5*x**2 - 2 - 8*x**2 - x**3 - 3*x**3 + 2*x**4 + 1 + 4*x**2 to q*x**4 + o*x**2 + k*x + m + r*x**3 and give q. 2 Express 9*l**2 + l**2 + 926*l - 935*l + 32*l**2 as h + d*l + o*l**2 and give o. 42 Rearrange (-21 + 5 + 3 - 7*x)*(2 + 1 - 2) + 3 - 3 + x to b*x + r and give b. -6 Rearrange (-3006 + 1004 + 1419 - j)*(4 - 5 + 3) to g*j + m and give m. -1166 Rearrange -43*h - 52 + 255*h + 54 to the form b + a*h and give b. 2 Express 30*b**2 - 577*b**2 + 60*b**3 - 58*b**3 + (b - 3*b + b)*(-b**2 + 3 - 3) - 3*b**3 - 2*b**3 + 7*b**3 as n*b**2 + p + r*b + l*b**3 and give r. 0 Rearrange -12*z**2 - 2*z + 9 - 24 + 2*z**4 + 2 + 7 + 8 to i + b*z + d*z**2 + l*z**3 + f*z**4 and give d. -12 Rearrange 25*t**2 + 205*t - 394*t + 7 + 189*t to o*t**2 + b*t + l and give l. 7 Express -77*i**4 - 2120*i**3 + 72*i**4 + 61 - 2*i + 2120*i**3 in the form w*i**3 + r + k*i**2 + m*i**4 + j*i and give r. 61 Rearrange 44*l - 1 - 8413*l**2 + 13*l + 8416*l**2 + 1 to the form y*l**2 + h + o*l and give o. 57 Express -1 + h + h**3 - 24*h**2 + 4*h**3 + 6*h**3 + 20*h**2 in the form l*h + d*h**3 + y + j*h**2 and give d. 11 Rearrange 1664 + 45*b - 156*b - 1664 to l + q*b and give q. -111 Express -70 + 22 + 8*g**3 + 2*g + 25 + 3*g**4 + 25 in the form u*g**4 + p*g**2 + x*g**3 + l + o*g and give o. 2 Express (-n - 2*n + 0*n)*(274*n - 1615*n + 182*n) as v*n + s*n**2 + t and give s. 3477 Express 180*i + 283*i + 218*i as j*i + y and give j. 681 Express 4062 - 1187*m - 8129 + 4067 - 971*m as i + l*m and give l. -2158 Express 9*u**2 + 2323 + 4*u - 2323 - 3*u**2 + 9*u as n*u**2 + l*u + h and give l. 13 Rearrange 2*f**3 + 1 + 6*f - 10*f**2 + 14*f**4 - 6*f + 12*f**2 to t*f**3 + p*f**4 + h*f**2 + s*f + r and give r. 1 Rearrange 4*b**2 + 42*b**4 - 15 - 74*b**4 - 15 + 33*b**4 to the form k*b**3 + x + f*b**4 + n*b**2 + z*b and give n. 4 Rearrange (-2 + 3 + 0)*(-7*m + 35*m - 8*m) + (2*m + 0 + 0)*(-2 + 3 - 3) + (0 + 0 + m)*(2 - 2 - 1) + 1 - 1 + 3*m to the form q + b*m and give b. 18 Express (1 + 2*y - 1)*(579*y**3 - 121*y**3 + 67*y**3) in the form f*y**4 + p*y + x + u*y**3 + v*y**2 and give v. 0 Express (12*t**2 - 32*t + 32*t)*(-17*t + 16*t - 17*t) as m*t**2 + y + o*t + d*t**3 and give d. -216 Rearrange (10381 + 30*x - 10381)*(4 - 5 - 4) to o + n*x and give n. -150 Rearrange 2*q**2 - 196*q**4 - 201*q**4 + 4*q + 400*q**4 + 3*q**3 to the form d*q**2 + t + s*q**4 + w*q + c*q**3 and give w. 4 Rearrange 318*a + 56*a + 364*a to j + i*a and give i. 738 Rearrange (-u - 3 + 3)*(8 - 19 - 17 + (-2 + 2 - 2)*(-2 + 4 - 4))*(-9 - 3 + 6)*(6*u - u - 3*u) to d*u**2 + c*u + l and give l. 0 Rearrange -3*i**3 - 84*i - 4*i**2 + 40*i + 44*i + 1 to the form p*i**2 + k*i + x*i**3 + g and give g. 1 Express (197*n + 48*n + 546*n)*(3 + 0 - 1) as x*n + z and give x. 1582 Rearrange 31 + 30*w**4 + w + 741*w**2 - 31 - 8*w**3 - 740*w**2 to q*w + f*w**2 + x + t*w**4 + p*w**3 and give p. -8 Express (-4*y + 0*y + 0*y)*(-66 - 35 - 22) as c*y + k and give c. 492 Rearrange 484*r**2 + 8 + 8 + 11 + 9 - 35 to the form b*r + z + s*r**2 and give z. 1 Rearrange -2 + 18658*b + 362*b**2 - 18658*b to the form m*b**2 + l + h*b and give l. -2 Express -3 + 63*o - 110*o**2 + 109*o**2 - 54*o + 4*o**3 as v*o + j + c*o**2 + h*o**3 and give j. -3 Express -5*h**2 + h**2 + 2*h**2 + 4*h**2 - 3*h**2 + 3*h**2 - h**2 + 1 - 1 + (-3*h + 3*h + 2*h)*(3*h - h + 0*h) as k*h**2 + b*h + f and give k. 5 Rearrange 10*v**3 - 1 - 29*v**3 - 7*v**2 + v + 13*v**3 to a + h*v**2 + u*v**3 + z*v and give h. -7 Rearrange 2*i + 3*i**3 - 2*i + (-3 + 2 + 2)*(2*i**3 + 2*i**3 - 2*i**3) + 14*i**3 - i**3 + 6*i**3 to the form t*i + b*i**3 + c*i**2 + x and give b. 24 Rearrange (29*r - 44 - 53*r + 26*r)*(-4 + 1 - 2) to x*r + v and give x. -10 Express (-2*l - 3 + 3)*(0*l + 3*l + 0*l) + 413*l**2 - 4909*l + 4909*l as u + j*l + y*l**2 and give y. 407 Rearrange 53*r + 5*r + 7*r - 7*r to the form x*r + w and give x. 58 Express -54*r + 43*r - 71*r - 45*r as a + l*r and give l. -127 Rearrange (2*z - 1 + 1)*(14*z - 7*z + 78 - 76) + (z**2 - z**2 - 5*z**2)*(1 + 1 + 2) to the form s + j*z**2 + t*z and give j. -6 Rearrange -33*x**4 + 1 + 4 + 1053*x**2 - 7 + 31*x**4 + 377*x**2 to n*x**2 + a*x**3 + f*x**4 + y*x + w and give n. 1430 Rearrange -u**2 - 4*u**3 + 10 + 2*u**4 - 6 - 6 - 4*u**3 to a*u**3 + k*u**4 + h + g*u + d*u**2 and give h. -2 Rearrange 0*n**2 + 1 - n + 3 - n**2 - 12*n + 30*n to y + s*n**2 + j*n and give j. 17 Express ((2*f + 0*f + 0*f)*(-4*f + 7*f + 0*f) + (3 - 3 - 5)*(4*f**2 - 5*f**2 + 2*f**2))*(0*f - 3*f - 3*f) as g*f**2 + h*f + b*f**3 + k and give b. -6 Rearrange 71*o**2 + 64*o**2 - 2*o - 136*o**2 to w*o**2 + m*o + z and give m. -2 Express -28*k - 35*k + 13*k + 4 - 2*k - 4 + (-2 + 3 + 1)*(-k + k - 2*k) - 3*k + k + 4*k + 4*k - 2*k - k as q + v*k and give v. -53 Rearrange -3*j**2 + 3*j**2 - 2*j**3 + (-2 + 5 - 1)*(-252*j + 252*j - 16*j**2)*(0 - 2 + 1)*(24*j - 550 + 550) to the form o*j**3 + a*j**2 + s*j + u and give o. 766 Express (5*u - 2 + 6*u + 5*u)*(-3*u - 10*u**2 + 8*u + 13*u**2) as c*u + k*u**2 + v*u**3 + h and give k. 74 Express 2*t**3 + t**3 + 37*t - t**2 + t**4 - 39*t in the form z*t**4 + l*t**2 + m + h*t + c*t**3 and give z. 1 Express (-40 + 27*h**2 + 15 + 23)*(-1 - 2 + 6)*(3*h + 4*h + 2 - 5*h) in the form s*h**2 + k*h**3 + r + f*h and give f. -12 Express 22*w + 4 - 2*w - 4*w + 1 in the form j + h*w and give h. 16 Express -886*k**2 - 83*k**2 - 1493*k**2 + 24*k**2 as s*k + t + o*k**2 and give o. -2438 Express (-2*n + n**2 - 5604*n**3 + 5602*n**3 + 0*n - 63)*(-n + 0*n + 0*n) as k*n**3 + w*n + b*n**4 + a*n**2 + o and give w. 63 Rearrange (-5*d**2 + 3*d**2 - d**2)*(-12*d + 8*d - 3*d**2 + 5*d) to the form h*d + j*d**4 + q*d**2 + i*d**3 + f and give i. -3 Express (-2*m - 2 + 2)*(2*m**2 + 7*m**2 + 8*m**2 + (5*m - 4*m + m)*(m - 2*m - m)) + 6*m**3 + 7*m**3 + 3*m**3 in the form o*m**2 + d + r*m**3 + t*m and give r. -10 Express 3*i**3 + 117*i + 128*i - 267*i as d + u*i + n*i**2 + s*i**3 and give u. -22 Express 2*j**4 + 0*j - 27*j**2 - 2*j**3 + 4 + 29*j**2 - j in the form r*j + l*j**4 + u*j**3 + s*j**2 + n and give s. 2 Rearrange 3*p**3 + 8*p + 3 - 2 + 1 - p**2 to j*p + t*p**3 + m + z*p**2 and give m. 2 Rearrange (-2 + 5 - 2)*(-1 - 3 - 1)*(-r - r - 3*r)*(14 - 14 + 6*r**2) to q*r**2 + d*r + m*r**3 + a and give m. 150 Rearrange (-2 + 3 - 7)*(4 - 6 + 50)*(-2 + 2 + u) to p + a*u and give a. -288 Rearrange -1 - 9*n - 4 + 5 - 2 - 8*n**2 + 4 to the form h*n**2 + f*n + j and give j. 2 Express (-18*b**2 - 8*b**2 + 7*b**2)*(300 - 300 - 28*b**2) as w*b + y*b**4 + o + q*b**2 + c*b**3 and give y. 532 Express (2*n**2 + n - n + (4*n + 2*n - 2*n)*(0*n + 2*n - n))*(-5 + 3 + 2*n + 4)*(-36 - 57 + 61) as t + k*n**3 + j*n**2 + p*n and give k. -384 Express (5 - 13 - 11)*(-3 - 2 + 4)*(-3 + 2 + 2)*(-4*g**2 + g**2 + 2*g**2) as d + s*g**2 + n*g and give s. -19 Rearrange (-13*h + 17*h + 16*h)*(56 - 60 + 67) to the form d*h + v and give d. 1260 Rearrange (3*t**2 - 2*t**2 + 0*t**2)*(-20 + 238*t + 47 - 27) to the form o + q*t**2 + r*t**3 + l*t and give
{ "pile_set_name": "DM Mathematics" }
ose -5*q + 5*y = -135, 3*y + 0*y - 127 = -5*q. Calculate the lowest common multiple of q and 10. 130 Let v(l) = -l**2 + 10*l + 3. Let i be v(10). Suppose -26 = -4*q + i*a + 1, -5*q + a = -20. What is the smallest common multiple of q and 4? 12 Let n be (-4)/6 + (-10)/(-15). Suppose 0 = -2*u - n*u + 44. Suppose -4*y + 2*i = -u, -1 = -3*y - 5*i - 4. What is the smallest common multiple of 20 and y? 20 Let l = -4657/1267 - 7/181. What is the common denominator of (0 - 0) + (-54)/(-5) and l? 35 Find the common denominator of 406/145*((-14)/6 - -1) and 19/13. 195 Let q be 2/(-4) + 3082/4. Let s be (-8669577)/q - 4/10. Let u = s - -11256. Find the common denominator of u and 51/10. 110 Let m be (-2)/2*(1439 - -11). Find the common denominator of -73/22 and (m/36)/(-5) + 0 + -1. 198 Let i(s) = s**2 + 9*s + 24. Let b(l) = -l**2. Let a(u) = 2*b(u) + i(u). Calculate the least common multiple of a(11) and 46. 46 Let t be (-2281063)/(-48) + (3 - 2). Let o = -47521 + t. Let d = 226851/14 + -16211. Find the common denominator of o and d. 336 Let j(b) = -b**2 + 27*b + 61. What is the smallest common multiple of j(29) and 10? 30 Suppose 5 = 4*x + 1. Let u(h) = -h**2 - 48*h - 413. What is the lowest common multiple of x and u(-12)? 19 Let y be (24/10)/(1 - 26/20). What is the common denominator of ((-4)/y)/(12/(-452)) and -27/4? 12 Let f = 17 + -31. What is the smallest common multiple of 33 and (-1)/(-7) - 166/f? 132 Let c(m) = -m**2 + 20*m - 16. Let l be c(18). Suppose 3*b - 30 = -2*b + 5*v, 4*v = 2*b - l. Calculate the lowest common multiple of 14 and b. 14 Let r = 28 + -30. Calculate the common denominator of 3 + (-28)/(-48) + r and 2*(-2)/((-240)/171). 60 Let i = -23 - -32. Calculate the lowest common multiple of 24/(-14) - -2 - 248/(-14) and i. 18 Let n be 130 + 0/3 + -4. Let b be (-72)/n + 3861/4270. Let x = -2/61 + b. Calculate the common denominator of -29/2 and x. 10 Find the common denominator of 47/165 and ((-140)/(-18))/(-1 + 4 + -1). 495 Suppose 2*m = -5*t - 232, 2*t - 2*m = 3*m - 116. Find the common denominator of 81/110 and (-6 - -1)/(t/(-66)). 440 Suppose 4*z + 54 = -2*g, z + g - 5 = -17. Find the common denominator of -16/3 and ((-5)/z*-1)/((-3)/37). 9 Let h(x) = -44*x + 1. Let l be h(1). Suppose 2*y - 4*r - 47 = 3*y, -2*r = 3*y + 101. Let d = y - l. What is the lowest common multiple of d and 22? 132 What is the common denominator of -87/8 and 3618/980 + 28/70 + -5? 392 Let p = 324/5 + -2866/45. Find the common denominator of (-2)/(-7 + 1) + 682/60 and p. 90 Find the common denominator of 65/38 and ((-1)/(120/(-954)))/((-24)/10). 304 Calculate the lowest common multiple of -210*(32/(-40))/1 and 84. 168 Let c = 19791 - 2560. Let i = 413425/24 - c. What is the common denominator of i and -7/30? 120 Let t = -35 + 40. Let l(j) = -j**3 - 2*j**2 + 3*j + 7. Calculate the least common multiple of t and l(-3). 35 Suppose -6*k = -4*k + 10, 3*k = -5*c - 65. Let n(i) be the first derivative of i**3/3 + 4*i**2 - 8*i - 1. What is the smallest common multiple of n(c) and 1? 12 Let i be (-2)/((-4)/6) + 35. Calculate the common denominator of i/4*(-2)/(-3) and (-2)/(-5)*30/18. 3 Let t = 46890 + -9377907/200. What is the common denominator of 11/8 and t? 200 Let t = 610807/36 - 16968. Find the common denominator of t and -103/54. 108 Let k be 2/(-9) + 40/18. Suppose -74 = -k*m - 62. Calculate the least common multiple of m and 18. 18 Let p(s) = s**2 - 11*s + 10. Let v be p(10). Find the common denominator of (-456)/9*(-5)/(10 + v) and -62/3. 3 Suppose 0 = -h - 2 + 6. Suppose -4*x - s - 4 = 3*s, h*s = 5*x + 5. What is the smallest common multiple of 34 and x/1 + (-2 - -5)? 34 Let y be 1/(-4) - (-63)/12. Let r = y + -32. Find the common denominator of r and (-1)/5 - (-486)/(-195). 13 Let f = -7951/10 + 792. Find the common denominator of f and 43/34. 170 Let a = -6541/198 - -386/11. Let f = 4969/213 - 47/71. What is the common denominator of a and f? 18 Let r = -35 + 95/3. What is the common denominator of 10/27 and r? 27 Suppose -27*y = -3*h - 22*y + 1955, -4*y = 5*h - 3246. What is the lowest common multiple of h and 7? 4550 Let a = -10 - -18. Let s be (a/(-20))/(3/6921). Let j = 926 + s. Calculate the common denominator of 49/8 and j. 40 Let b be (226/(-7))/((-1666)/(-175) - 4). Let i = -140/23 - b. Find the common denominator of i and -31/18. 126 Suppose -4*a - 30 = -5*b, 3*a - a = b. Suppose 15 = 2*l + 3*l. Suppose -3*u + 40 = -o - 7, 4*u = l*o + 71. Calculate the least common multiple of u and b. 70 Find the common denominator of 46/84 - ((-26)/(-6))/13 and 109/18. 126 Suppose 27*y + 120 = 32*y. Calculate the smallest common multiple of 36/y*8/2 and 6/9 + (-4)/(-3). 6 Suppose 0 = -3*f + 2*w + 95, 0 = 2*w + 3*w - 10. Let m(b) = b**3 - 31*b**2 - 64*b - 54. What is the least common multiple of f and m(33)? 132 Let t = -16339/6 - -2730. What is the common denominator of 4/(-10) + (-274)/(-60) and t? 6 Suppose 3*f - 4*c + 6*c - 103 = 0, -f + 2*c + 29 = 0. Find the common denominator of (-3)/28*(-814)/f and -5/3. 42 Suppose t = 91 + 5. Calculate the common denominator of 71/3 and 1 + (-508)/t + 4. 24 Suppose -3*i + 5*n = -4*i - 3, 0 = n + 3. Calculate the lowest common multiple of 70 and i. 420 Let z be (20/6)/(38/(-171)). Suppose 0 = -3*a + a + 4. Calculate the common denominator of -95/6 and a/z*(-12)/16. 30 Calculate the common denominator of 145/(-116) + 2 + (-43)/44 and -10/7. 154 Suppose -388 + 1123 = 5*y. Calculate the least common multiple of 98 and y. 294 Suppose 6*z + 16 = 28. Let j = 10 - -10. What is the lowest common multiple of z and j? 20 Suppose -4*a - a + 3*p + 18 = 0, 4*a = 2*p + 14. Suppose 0 = -a*o - 2*j - 12, -2*j + 12 = -2*o - o. Calculate the least common multiple of 10 and o/6*8*-3. 80 Calculate the common denominator of (-406)/(-110) + 3*6/45 and (-14)/(-36)*(-231)/22. 132 Let w be ((-2)/(-5))/((-36)/365235). Suppose 0 = 5*t - 3*f - 20220, -2*f - 3*f = 25. Let j = t + w. What is the common denominator of j and -71/12? 12 Suppose 71 = 5*v - 519. Let z = 127 - v. What is the least common multiple of z and 10? 90 Let g(i) = -i**3 - 39*i**2 + 38*i - 44. What is the smallest common multiple of 376 and g(-40)? 3384 Calculate the common denominator of (-84)/(-42) + 853/(-386) and 77/12. 2316 Let q = -3797 - -2404. Let s be (-6)/14 + q/(-49). Let j = s + -26. Calculate the lowest common multiple of 4 and j. 4 Suppose -15 = -5*y + 20. Let b(c) be the first derivative of -c**2/2 + 4*c + 5. Calculate the least common multiple of b(-4) and y. 56 Let z(l) = -l + 19. Let k be z(9). Let n = 431/1020 - 1/170. Find the common denominator of 77/k - 2/10 and n. 12 Suppose 0 = -5*f - 5*r + 15 + 50, -2 = 2*r. Let o = 178 - 97. Suppose -59 = -5*t + o. Calculate the least common multiple of t and f. 28 Let m = 149/42 - -667/105. Find the common denominator of m and 55/92. 460 Suppose 526 = 4*f + 438. What is the lowest common multiple of f and 12? 132 Suppose -94 = 9*f - 1102. Calculate the least common multiple of 14 and f. 112 Let n = 106 - 118. What is the common denominator of 57/14 and 37/(-7)*3/n? 28 Let a = -5554 + 1490. Let d = a - -28493/7. Find the common denominator of d and -115/18. 126 Suppose -45 = 5*c - 15. What is the lowest common multiple of 1*c*(-5 - 8/(-2)) and 11? 66 Suppose 30*q - 13520 = 4*q. What is the smallest common multiple of 20 and q? 520 Suppose 4*p = -575 - 501. Let o = p + 1107/4. Find the common denominator of o and 49. 4 Let y = -606239/34 - -17829. Calculate the common denominator of y and 103/18. 306 Suppose 19127 = -4*d - 3417. Let b = -11519/2 - d. Let m = -392/3 - b. Find the common denominator of m and 23/8. 24 What is the common denominator of 111/110 and (85/(-850))/(3/8)? 330 Let y = 13 - 16. Let x = -20823/10 - -2084. Calculate the common denominator of x and (-700)/(-96) + 0 + y. 120 Let b = 2505 - 2492. Let w = 3 + -4. Let v = w + 7. Calculate the smallest common multiple of b and v. 78 Suppose k - 20 = -3*k. Let z be (0/(-2 - -1))/2. Suppose 5*w - 66 + 16 = z. What is the lowest common multiple of w and k? 10 Let h be (3/(-2))/((-8)/(-32)). Let u(b) = b**3 + 8*b**2 + 8*b. Let l be u(h). Let g = l + -14. Calculate the least common multiple of g and 2. 10 Suppose 5*g + 4*t = 14, -2*g = -4*g - t + 8. Suppose
{ "pile_set_name": "DM Mathematics" }
+ (sqrt(10)/sqrt(5))**2)*2. 32 Simplify (1 + 2*sqrt(128) + 4 + -2)**2. 96*sqrt(2) + 521 Simplify 1*(2 + (-2*sqrt(20)*-3)/(-2*sqrt(490) + sqrt(10)))**2. -24*sqrt(2)/13 + 748/169 Simplify ((1 + sqrt(200))**2*-3 - (sqrt(200) - (sqrt(200)*3*2)**2))*-4 + -2. -26390 + 280*sqrt(2) Simplify (-5*sqrt(68)*1*-6)/(sqrt(48)/(sqrt(192)*-6)). -720*sqrt(17) Simplify (-2 + sqrt(528)/(sqrt(33)/sqrt(3)) + (sqrt(48) + sqrt(3) + 0 - -6*3*sqrt(3)))**2. -108*sqrt(3) + 2191 Simplify -1 + 6*((sqrt(1216) - (-3 + -1 + sqrt(1216))) + (sqrt(1216) + 0 + 1 - sqrt(1216)) + sqrt(1216))*-1. -48*sqrt(19) - 31 Simplify (sqrt(19) + (sqrt(2736)*5)**2)*6 + (3 + -4*sqrt(19)*4)**2. -90*sqrt(19) + 415273 Simplify sqrt(34)/sqrt(2) + 5 + 5 + 4 + 3*sqrt(1700). 14 + 31*sqrt(17) Simplify ((sqrt(2592) + 4*(sqrt(2592) - -2*sqrt(2592) - sqrt(2592)))/(sqrt(81)/(sqrt(9) + (sqrt(36)/sqrt(4) + sqrt(9) + sqrt(9))*5)))**2. 5971968 Simplify sqrt(425) + 4 + 4 + ((3 + sqrt(425))*-5)**2 + sqrt(425) + -2. 760*sqrt(17) + 10856 Simplify (-4*((sqrt(405) - (sqrt(405) - (-3*sqrt(405) - sqrt(405)))) + -2 + sqrt(405))*-2)**2*-2. -467072 - 13824*sqrt(5) Simplify (sqrt(352)*-2*5)/((sqrt(2) + sqrt(2)*1)*-3 - sqrt(4)/sqrt(2)*5). 40*sqrt(11)/11 Simplify 2*(sqrt(363)/(2*sqrt(11)) + sqrt(99)/(sqrt(12)/sqrt(4)))/(((-2*sqrt(110) - sqrt(110) - sqrt(110))/sqrt(10) - sqrt(11)) + (sqrt(1584)*1 - sqrt(11))). sqrt(3)/2 Simplify 4*(5*(sqrt(216)*-3 + sqrt(216) - sqrt(216)))/sqrt(12). -180*sqrt(2) Simplify ((-1*-1*sqrt(352))/(5*sqrt(22)/(sqrt(11)*-1)))**2. 176/25 Simplify ((-1*-2*sqrt(660))/sqrt(12))/(5*1*sqrt(44)). sqrt(5)/5 Simplify ((6*-3*sqrt(960))/((-2*sqrt(300) - sqrt(300))*-5) + 2)**2. -96*sqrt(5)/25 + 1076/125 Simplify -3*(1*-2*sqrt(156))/((1*sqrt(108) - sqrt(12)) + sqrt(12))*-2. -4*sqrt(13) Simplify (3*sqrt(117)*2)/(3*(sqrt(9)*-1 + sqrt(9) - sqrt(9))) + -2. -2*sqrt(13) - 2 Simplify (sqrt(3) + ((sqrt(9)/sqrt(3))**2*3 - sqrt(3)))*4 + ((2 + sqrt(3))*-6 - (sqrt(108) + 1)**2). -85 - 18*sqrt(3) Simplify 0 + -3 + sqrt(243) + sqrt(243) + (-2 + sqrt(243))*-4. -18*sqrt(3) + 5 Simplify ((sqrt(3900) - sqrt(3900)*-1)*3)/(sqrt(75) + -2*sqrt(75)*5). -4*sqrt(13)/3 Simplify -1*(1 + sqrt(3) + 1) + (sqrt(210)/sqrt(90))/sqrt(7). -2 - 2*sqrt(3)/3 Simplify (sqrt(198)/sqrt(11)*-5)/(sqrt(108)/(sqrt(12)*-3)). 15*sqrt(2) Simplify (-3 + sqrt(684) + -2*sqrt(684)*6 - ((sqrt(684) - (sqrt(684)*-2 - sqrt(684))*4 - sqrt(684)) + 4))**2. 1932*sqrt(19) + 361885 Simplify 2 + -1*(-1*(-3*-3*sqrt(567) + 1))**2. -45926 - 162*sqrt(7) Simplify (3*(sqrt(70)*-2*-2 + sqrt(70)))/((sqrt(240)/sqrt(4))/sqrt(6) - sqrt(40)/sqrt(16))*-1. -30*sqrt(7) Simplify ((sqrt(1944) - sqrt(1944)*-2 - sqrt(1944)) + sqrt(1944))/sqrt(12) - (-1 + sqrt(32) + -1)**2. -36 + 43*sqrt(2) Simplify 1 + -4 + (2*sqrt(175) + -2 + (-1 + sqrt(175))*1)**2. -90*sqrt(7) + 1581 Simplify sqrt(14)/(6*((sqrt(2) - sqrt(8)) + sqrt(2) + sqrt(2))) + -3 + (sqrt(126)/sqrt(2)*-5 - sqrt(63))**2 + -5. sqrt(7)/6 + 2260 Simplify 3 + (0 + (-3*(-1 + sqrt(1872)))**2 + sqrt(1872) - ((1 + sqrt(1872) + -4 - sqrt(1872)) + ((sqrt(1872) + sqrt(1872)*-2 - sqrt(1872)) + 5)**2)). 36*sqrt(13) + 9350 Simplify ((0 + sqrt(396) + 2 - -4*(1 + sqrt(396) - sqrt(396))) + -2)**2. 48*sqrt(11) + 412 Simplify (sqrt(32) - (4 + sqrt(128))) + (-4*sqrt(726) + sqrt(726))/sqrt(3). -37*sqrt(2) - 4 Simplify ((sqrt(960)/sqrt(2))/sqrt(10))**2*2*-2. -192 Simplify sqrt(190)/(sqrt(1210)*-4) + (-3 + 2*sqrt(684) + sqrt(684))**2. -4753*sqrt(19)/44 + 6165 Simplify sqrt(228)/((sqrt(108) - (sqrt(108)*-3 + sqrt(108)))/sqrt(9)) + (sqrt(342)/(sqrt(36)/sqrt(6)))/sqrt(3). 4*sqrt(19)/3 Simplify ((sqrt(405) + (sqrt(405) - (sqrt(405) - 2*sqrt(405))) - sqrt(405)) + -5*-2*sqrt(45))/(sqrt(900) + (sqrt(900) - -2*sqrt(900)*2)) + -1. -1 + 4*sqrt(5)/15 Simplify (sqrt(720)/sqrt(9)*-4)**2 - -2*(3 + sqrt(605)). 22*sqrt(5) + 1286 Simplify ((sqrt(120)/sqrt(5))/sqrt(12) + 2 + -5 + (sqrt(6)*-3)/sqrt(3) + sqrt(2))**2. 6*sqrt(2) + 11 Simplify ((-2*sqrt(448) + -4 - sqrt(448)) + -2 + 5*(sqrt(112) + 0) + -3)**2. 72*sqrt(7) + 193 Simplify -3*(4 + (sqrt(11) - sqrt(77)/sqrt(7))) + (sqrt(88) + sqrt(88) + -1*-4*sqrt(88))/sqrt(8). -12 + 6*sqrt(11) Simplify (5 + 0 + (sqrt(65) - (-2*2*sqrt(65) - sqrt(65) - sqrt(65)))/(sqrt(5) + sqrt(5) + sqrt(180)*2))**2 + 4. 5*sqrt(13) + 129/4 Simplify ((sqrt(72)/sqrt(12)*6)/(sqrt(16)/sqrt(8)*-1))**2. 108 Simplify (-4*(-3*sqrt(112) - sqrt(112))*-1 - (-2 + sqrt(112)*-2 + 3 + sqrt(112)*-2))**2. 96*sqrt(7) + 16129 Simplify ((sqrt(2448) + sqrt(2448) + sqrt(2448) + 5*sqrt(2448)*1 - (sqrt(2448) - (1 + sqrt(2448))*2)) + 0)**2. 432*sqrt(17) + 198292 Simplify (sqrt(1216)*1)**2 - (3 + 3 + sqrt(19)) - (sqrt(95)/sqrt(5)*-6 + sqrt(171)/(sqrt(9)*-1)). 6*sqrt(19) + 1210 Simplify ((-4*sqrt(100))/sqrt(4) - sqrt(25))/sqrt(180). -5*sqrt(5)/6 Simplify (((sqrt(39) - sqrt(468)/sqrt(192)) + sqrt(429)/(sqrt(11) + sqrt(22)/sqrt(2)))/(sqrt(75) - (sqrt(75) + (sqrt(75) - sqrt(75)*2)*-3)))**2. 13/144 Simplify (4*(1 + (sqrt(242) - (sqrt(242) + -5*sqrt(242))))*2)**2*3. 21120*sqrt(2) + 1161792 Simplify 5 + 5*(1 + (-1*sqrt(10)/sqrt(5) - (-3*sqrt(8))/sqrt(4))). 10 + 10*sqrt(2) Simplify (((sqrt(187) - sqrt(187)*-5)*-5 + sqrt(187))*-1)/((sqrt(44) + sqrt(2816))*-1). -29*sqrt(17)/18 Simplify 5 + (sqrt(400) - (2*sqrt(400) + sqrt(400)))/sqrt(2) + 3*(-2 + sqrt(10)/sqrt(5)). -17*sqrt(2) - 1 Simplify ((-5*(sqrt(66) + -1*sqrt(66)))/sqrt(6) - (-2*sqrt(1331) + -5)**2) + 1. -5348 - 220*sqrt(11) Simplify (sqrt(448) + 5 - sqrt(7))*-5 - (1 + ((sqrt(7) + 3)*3)**2). -89*sqrt(7) - 170 Simplify -4*((sqrt(72) + 1 + -5 + 1*sqrt(72) + -4)*1)**2*-5. -3840*sqrt(2) + 7040 Simplify ((-1 + -4 + (1 + sqrt(300) + -1 - (sqrt(300) - (sqrt(300) + 6*(-1 + sqrt(300))))))*-1)**2. -1540*sqrt(3) + 14821 Simplify (-1 + -5*sqrt(99) + -2 + -3)*-3. 18 + 45*sqrt(11) Simplify (3 + -5*((sqrt(140)*1 + sqrt(140))/sqrt(10))/(-1*sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343)))*-1. -3 + 5*sqrt(2)/7 Simplify ((sqrt(847) - (sqrt(847) + 0))*2 - (sqrt(847) + 0 + sqrt(847) + sqrt(847))*4 - (sqrt(847) + sqrt(847) + 0 + -5 - (3 + sqrt(847)*-1)))**2. -2640*sqrt(7) + 190639 Simplify (-1 + (-1 + 1 + sqrt(192) - sqrt(192)) + -5)**2. 36 Simplify -6*((sqrt(130) + sqrt(130)*1)/sqrt(10) + 0 + sqrt(117)). -30*sqrt(13) Simplify (-6*sqrt(176)*-1 - sqrt(176))**2 + 1 + ((sqrt(539) + 0 - sqrt(539))*-5)**2 + 5 + sqrt(539) + 0. 7*sqrt(11) + 4406 Simplify (sqrt(684)*4 + 2)**2 - (sqrt(931) + 3 + -3). 89*sqrt(19) + 10948 Simplify 2 + (((sqrt(68) + 1)*-3 - (sqrt(68) + sqrt(68)*-2)*6)*-2)**2. -144*sqrt(17) + 2486 Simplify ((sqrt(65)*1)/sqrt(5) + 5 - ((sqrt(13) - ((sqrt(13) - sqrt(1872)) + sqrt(13))) + 4)**2) + -4. -1588 - 87*sqrt(13) Simplify (sqrt(68) + 0 + sqrt(68)*1 + sqrt(68) + 5 + sqrt(68)*-1 + sqrt(68) + -1 + (sqrt(68) - ((sqrt(68) - (1 + sqrt(68)))*-6 - sqrt(68))))**2. -40*sqrt(17) + 1704 Simplify -3*((sqrt(70) - (sqrt(70) + (sqrt(70) - -1*sqrt(70) - sqrt(70))))*-4 + 4*(sqrt(70) - sqrt(70)*2))/(sqrt(10)*1*5 - (sqrt(490)*2 + sqrt(490))). 0 Simplify sqrt(17) + (sqrt(612) + ((-2*sqrt(612) - sqrt(612))**2 - sqrt(612)) - sqrt(612)) + -3*sqrt(17) + 3 + -2 + -4. -8*sqrt(17) + 5505 Simplify -1*(sqrt(24) - (sqrt(24) + 4*sqrt(24))*-5)/(sqrt(1452)*-4 + sqrt(1452) - sqrt(1452)) + -4. -4 + 13*sqrt(2)/22 Simplify ((sqrt(396) - (sqrt(396) + 1 + sqrt(396)))*5)**2*1*3 + -5. 900*sqrt(11) + 29770 Simplify ((sqrt(1573) + sqrt(1573)*1)**2 - (sqrt(117) + 5)) + sqrt(91)/(sqrt(7) + sqrt(7)*1*-4) + -4. -10*sqrt(13)/3 + 6283 Simplify ((sqrt(833) + 0 - sqrt(833)) + 0 - sqrt(833))**2 + sqrt(833) + 2*(sqrt(833) + (sqrt(833) - 2*sqrt(833))**2) + 1 + 2. 21*sqrt(17) + 2502 Simplify (-2*sqrt(216)*-2)/(1*sqrt(108)*2). 2*sqrt(2) Simplify -5 + (4 + -3*sqrt(68)/sqrt(4) + sqrt(34)/((sqrt(2) - sqrt(2)*2 - sqrt(2)) + sqrt(2)) + 3)**2 + 5. -56*sqrt(17) + 321 Simplify 5*(sqrt(153) + 4 + sqrt(2448) + sqrt(2448) + -2*sqrt(2448)). 20 + 15*sqrt(17) Simplify (sqrt(3) + -1*(sqrt(192) - sqrt(3)) + -5)**2*-5 + 4. -661 - 300*sqrt(3) Simplify ((sqrt(27) + -4 - (sqrt(147) - (sqrt(147) + 1*sqrt(147))) - (sqrt(21)/(sqrt(7) - sqrt(28)) + -5))**2 + -2)*-4. -1448 - 88*sqrt(3) Simplify ((sqrt(60)/sqrt(2)*5 + sqrt(60)/sqrt(2)*5)/(1*sqrt(864)*-1))**2. 125/36 Simplify (5*sqrt(144)*1)/(3*sqrt(588)*-2). -5*sqrt(3)/21 Simplify ((sqrt(10) + sqrt(40))/sqrt(2) + 6*sqrt(10)/sqrt(2) + -6*(sqrt(5) + sqrt(25)/sqrt(5))*-2)**2. 54
{ "pile_set_name": "DM Mathematics" }
7/8 and v(-16). 8 Let g = 6 - 3. Find the common denominator of -1 - (258/(-20))/g and 111/10. 10 Suppose f + 15 = -4*f. What is the lowest common multiple of -28*(7/(-2) - f) and 12? 84 Let v = 9 - 9. Calculate the common denominator of -2 - (-96)/21 - v and 91/4. 28 What is the common denominator of (-203)/20 - 3/5 and 7/3? 12 Let p be ((-236)/10)/(3/15). What is the common denominator of 49/9 and p/(-6) + 1 + -3? 9 Let d = 824017/42 - 19621. Find the common denominator of d and 77/8. 168 What is the smallest common multiple of 8/12*(-45)/(-2) and 9? 45 Let i(s) = -7*s + 7. Let p be i(5). Find the common denominator of 9/5 and (-40)/(-3)*6/p. 35 Suppose -f = -3*f - 118. Find the common denominator of (1/(-18))/((-1)/(-116)) and f/(-9) + 2/(-9). 9 Suppose -5*f + 42 = 3*c, 2*c = 3*f - 3*c + 2. Let i = f - 0. Calculate the smallest common multiple of i and 4. 12 Let b = 1093 - 609. Let w = b - 8641/18. What is the common denominator of w and (1 - 3) + 17/(-20)? 180 Suppose 4*n + 4*j = 4, -2*j + 2 = 4. Let q be 1/(n/(-4)*1). Calculate the common denominator of (q/15)/(60/(-3625)) and 89/4. 36 Suppose -b + 2 = -2. Suppose 0 = 2*m - m - b. Let d = -16 - -32. Calculate the smallest common multiple of d and m. 16 Suppose f - 5*f + 24 = 0. What is the smallest common multiple of f and 44? 132 Let c(j) = 3*j - 9. Let x be c(6). Let k = x + -4. Suppose -v - 3*b = -4, k*v = v - b + 60. What is the lowest common multiple of 12 and v? 48 Let g be 2/(-8) + (-3)/4. Let l be -10 + 4 + (-2)/g. What is the least common multiple of 4 and l/14 - 174/(-21)? 8 Let i be -4*2/(-8)*3. Suppose t - 2 = i*t. What is the lowest common multiple of 1 and t/(-1)*0 - -1? 1 Let u(n) = n**3 - 4*n**2 - 5*n + 5. Let y be u(5). What is the common denominator of (y/6)/((-10)/(-195)) and 33/10? 20 Let n = 3131/13 - 69661/39. Let x = n + 1522. What is the common denominator of x and -97/2? 6 Suppose -5*p = -11 - 24. Calculate the lowest common multiple of p and 12. 84 Suppose -m - 1 = 0, 6*m - 15 = -5*y + m. Suppose -2*z - 46 = -5*i - z, -56 = -y*i - 4*z. What is the lowest common multiple of 9 and i? 90 What is the common denominator of 31/84 and 5/25 + (-302)/135? 756 Let w = 126628/15 - 8436. Find the common denominator of w and 41/33. 165 What is the common denominator of 798/3420 + -1 + 4/5 and (-178)/(-112) + 6/21? 120 What is the common denominator of 57/2 and (286/(-234))/(2/33)? 6 Let a be (-4)/14 + (-310)/(-7). Let x = a + -26. Suppose 2*i - 6 = -3*z + 34, 4*z + i - 60 = 0. What is the least common multiple of z and x? 144 Suppose 5*v = -10 + 35. Suppose -v*m - 5*u = -35, 2*m + 0*u + u - 19 = 0. Let o(x) = -x**2 - 5*x. Calculate the lowest common multiple of o(-4) and m. 12 Suppose 3*y + 49 = 3*r + 10, -3*r + 59 = y. What is the lowest common multiple of r and 254? 2286 Calculate the common denominator of ((-6)/(-69))/((-4)/70) and 49/3. 69 Let w = -1092 + 8765/8. Find the common denominator of 31/9 and w. 72 Let j = 4 - 8. What is the common denominator of 2/(-5) + 63/(-10) and j/(-18) - 265/18? 10 Calculate the smallest common multiple of 15/((-3)/2*-1) and 6. 30 Let x(s) = s + 6. Let u be x(-6). Suppose u = -4*i - y - y + 14, -5*i + 5 = 5*y. What is the smallest common multiple of i and 6? 6 Let w(h) = -h - 2. Suppose p + 1 - 6 = 0. Let y = p - 4. Calculate the least common multiple of w(-6) and y. 4 Let k = -828 + 2426/3. Find the common denominator of -2 + 1 + 9/10 and k. 30 Calculate the common denominator of -67/6 and ((-154)/(-147))/((-1)/((-105)/72)). 36 Suppose -3*d - 4*q + 26 = -12, -4*d = -2*q - 80. Suppose 0*w + 3*w - 42 = 0. What is the smallest common multiple of w and d? 126 Let r(w) = -w**2. Let c be r(0). Suppose 2*l - 5*l + 36 = c. What is the smallest common multiple of 8 and l? 24 Let i = 11177 - 6113813/547. Let f be (-2)/(-3) + 63704/22974. Let z = f - i. Calculate the common denominator of z and -55/4. 28 Let z = 711146613/81862010 - 11/264071. Let h = -81/31 - z. Calculate the common denominator of -53/16 and h. 80 Let s = 9311823/10 - 933394. Let o = 3213 - 1005. Let t = o + s. Find the common denominator of 93/4 and t. 20 Let g(h) = h**3 + 3*h**2 + h + 1. Let n be g(-3). What is the smallest common multiple of (-1 - n) + (-3 - -9) and 6? 42 Suppose -41*b - 70 = -48*b. What is the smallest common multiple of (-8)/(-12)*(-60)/(-2) and b? 20 Let o = 1192 - 4695/4. What is the common denominator of o and -59/22? 44 Suppose -27 = 132*f - 135*f. Suppose -3*t = 2*t - 25. What is the smallest common multiple of f and t? 45 Let a = 20 + -16. Calculate the lowest common multiple of a and 20. 20 Let n = 5269/266 - 432/19. Find the common denominator of n and 51/5. 70 Suppose 0 = 3*m - x - 83, -3*m + 4*x + 27 = -53. Let r = 34 + -32. What is the lowest common multiple of r and m? 28 What is the common denominator of -35 + 38 + 274/(-90) and -77/40? 360 Suppose -2*c + 8 = z, 5*c = -2*z - 0*c + 13. What is the lowest common multiple of z and (94/(-141))/((-1)/12)? 56 What is the common denominator of -4 + (-93)/20 + 4 and 79/14? 140 Find the common denominator of (-2)/620*-253 - (-2)/10 and 8/3. 186 Let d(b) = -4*b - 6. Let q be d(-7). Suppose -60 = -4*k - 2*j, 0 = -3*k + 5*k - 3*j - q. Calculate the smallest common multiple of 20 and k. 140 Let i = -33965/12 + 2822. Let m = 32889/10 + -3284. Find the common denominator of m and i. 60 Let y = 1/1693 + -150683/10158. Let i be 11285/(-56925) - 2/(-10). Let u = i + -225487/36432. Calculate the common denominator of y and u. 48 Let x = 3320 + -53139/16. Find the common denominator of -3*(101/36)/(-1) and x. 48 Let m(f) = -f**2 - 4*f - 1. Let z be 0 + -2 + 1 + -1. Let k be m(z). Let r = k + 5. Calculate the lowest common multiple of r and 18. 72 Let w = 2/20291 - 2942219/243492. Let z = -998050053247/39986220 + -1/1999311. Let m = 24966 + z. Calculate the common denominator of w and m. 60 Let x = -14 + 35. What is the lowest common multiple of x and 9? 63 Let i = 379731/20 + -18992. Find the common denominator of -103/12 and i. 60 What is the common denominator of 43/3 and ((-3)/9)/(20/(-246))? 30 Let s = 2576 - 54064/21. Find the common denominator of s and -19/18. 126 Let y(u) = -2*u. Let k(l) = -l**2. Let o(q) = 5*q**2 - 7*q + 2. Let g(p) = 6*k(p) + o(p). What is the smallest common multiple of y(-5) and g(-5)? 60 Let m = 13674 + -246071/18. Let j be ((-4)/6)/((-16)/(-12402)). Let s = j + 513. Calculate the common denominator of m and s. 36 Suppose 4*h + 2*r = 64 + 28, 5*r = 4*h - 78. Calculate the least common multiple of h and 20. 220 Let s = 19 - 10. Calculate the least common multiple of 12 and s. 36 Suppose 4*d - q = -0*d + 38, 0 = 3*d + 5*q - 40. Suppose -5 + 2 = -3*u. Let z = u - -4. What is the smallest common multiple of d and z? 10 Let x = -147261/20 + 7360. Suppose 3*a - 33 = -3*b, 0 = -3*b + 4*b + 2*a - 16. Find the common denominator of (-23)/(-3)*b/4 and x. 20 Suppose -2*l = -3*l + 5. Calculate the lowest common multiple of 11 and l. 55 Let h = 3055 - -1122. Let g = h - 37663/9. Let i = -1221/13 - -13393/130. What is the common denominator of i and g? 90 Let i be 1273/(-54) - (-6)/(-9). Let y = i - 23/54. Calculate the common denominator of -6/11 and y. 33 Let w(a) = 3*a - 13. Let p be w(-9). Find the common denominator of ((-5)/p)/(4/34) and -11/18. 144 Let b be -4*1/2*1. Calculate the common denominator of 38/3 and (-2)/(b + 111/48). 15 Suppose -206 = -5*s + 269. Suppose -5*o = 5*v - s, 43 = 4*o - 2*v - 27. Calculate the lowest common multiple of o and 6. 18 Suppose 80 = 5*q - 0*q. Let v = 120 + -98. Calculate the smallest common multiple of v and q. 176 Suppose 0 = -3*d + d - 16. What is the common denominator of (-2193)/(-270) + d/36 and (-634)/(-60) - (-4)/(-6)? 10 Suppose -199 = -4*w + 3*o, 2*o = -5*w + 6*o + 249. Let l = -489/10 + w. What is the common denominator of l and -63/10? 10 Let t = 20 + -18. Suppose -11 = -t*a + 11. What is the smallest common multiple of a and 8? 88 Let v = 4819288 - 3324915. Let u = v - 62767255/42. Let g = 475/6 + u. Calculate the common denominator of -51/10 and g. 70 Let v = 2 + 10. Find the common denominator of -46/3 and 2/v - (-98)/12. 3 Let g = 51 - 28. What is the lowest common multiple of g and 3? 69 What is the smallest common multiple of 78/5 - (-
{ "pile_set_name": "DM Mathematics" }
15)). Which is the second smallest value? (a) -0.2 (b) p (c) -5/2 a Let o be (-8)/(-10) + 6467/1885 + -8 - -3. What is the smallest value in 1, -0.02, -4, o? -4 Let l = -122 - -121. Let s = 0.114 - 0.614. Which is the smallest value? (a) 1/4 (b) -3 (c) s (d) l b Let u = -0.3675 + -0.0325. Let g = -0.8 + 0.7. Let m = -3.1 - g. Which is the smallest value? (a) -7 (b) u (c) m (d) -2/15 a Let v be 156/54 + (-1)/(-9). Suppose -2*b - k + 254 = 0, -2*b + k + 234 = -v*k. Let n = b - 1123/9. What is the smallest value in -2, n, 2/11? -2 Let h be (0 - 0) + (-2800)/(-2100). What is the fifth biggest value in 38, -0.2, -4, h, 3? -4 Let q be (-1)/(-18) + (-2)/4. Let j = 466.2 - 466. Which is the third smallest value? (a) -2/95 (b) j (c) q b Let o = -4558 + 4556. Let q = 209 + -207.5. Let s = -0.08 + 3.08. Which is the third biggest value? (a) s (b) q (c) o c Suppose -4 = 4*t - 0*t, 3*h + 3 = 3*t. Let k = 139.7 + 1.3. Let b = k + -137. What is the smallest value in h, 2/5, b? h Let a = 0.085 + -0.485. What is the second biggest value in a, -8, 2, 0? 0 Suppose -7*u = -240 + 324. Let p be 8/((-32)/u)*15/5. What is the biggest value in p, 1/2, 0.6, -1? p Let z = -594 - -635. Let q = 41 - z. What is the biggest value in q, 1.6, 0.1? 1.6 Let s = 14.5 + -14. Let g = 1045 + -10453/10. Let w = 0.6 + -0.5. Which is the second smallest value? (a) s (b) w (c) g (d) -1 c Let h = 345 + -171. Let j = 174.2 - h. What is the biggest value in 0, 2, -0.12, j? 2 Let y(f) = f**3 - 4*f**2 - f - 17. Let z be y(5). Suppose 0*h + 2*u - 29 = -z*h, -4*u = 5*h - 51. Which is the biggest value? (a) 5 (b) h (c) 0 b Let q(r) = -r**3 + 25*r - 5. Let z be q(0). What is the fifth smallest value in -3, 0, -2/13, z, 4.94? 4.94 Suppose m - 1 - 1 = -2*x, -4*x = 0. Let o = 3.67 - 5.67. Let k = -2633 - -2633. Which is the smallest value? (a) 3 (b) o (c) m (d) k b Let f = -2518.3 - -2532.3. What is the third smallest value in f, 2/5, 1/5, 24? f Suppose 916*y - 947*y = -279. Let t = -0.396 + -1.614. Let f = -0.01 - t. Which is the second smallest value? (a) f (b) -1 (c) y a Let s = 21518 + -21618. Which is the second smallest value? (a) 3 (b) 7/6 (c) s b Let y be ((-1102)/95 - -12)/((-32)/20). What is the third smallest value in -6/5, y, 5, 0.2, 1.26? 0.2 Let q = 237.6 - 239. Let x be (-23)/(-4) - 1/(-4). Suppose 2*z + 8 = x. What is the smallest value in q, -5, z? -5 Let k = 2/233 - -926/699. Let v = 0.1 + -0.2. Let p = 8143/12 + -2715/4. What is the second biggest value in k, p, v? v Let g(x) = x**2 + 20*x + 62. Let z be g(-16). Let k be 1*(1 + z - 0). Which is the third biggest value? (a) 1 (b) 2/13 (c) k (d) 0.3 b Let u(n) = n**3 - 2*n**2 - 3*n - 3. Let j be u(3). Let z = -34.32 + -6.38. Let f = 43.7 + z. Which is the fourth smallest value? (a) -2 (b) j (c) f (d) 5 d Let k = -0.52 + 0.82. Let p = -5/4 + 1/2. Let l = 31.6 + -31.9. Which is the biggest value? (a) p (b) k (c) l b Let y be (552/(-104))/(27/(-6)). Let z = -2/13 - y. Which is the fourth biggest value? (a) -5/2 (b) 4 (c) -4 (d) z c Suppose -5*i + 257 - 209 = 7*i. What is the biggest value in i, -14, -2/9, 0.17, 2/13? i Let i be 16/(30 + -14) + 2/(-3). What is the third biggest value in 0.7, 0.1, -29, i? 0.1 Let o = 93 - 149. Let d be (-110)/o - 3 - (-18)/63. Let m = 0.99 + 0.01. What is the second biggest value in -1/2, d, m, 3? m Let j be 4/(-6) - (-11)/(66/28). Suppose z - 8 = 5*z + 2*i, -5*z = 4*i + j. Let p = 0.5 + -1. Which is the third smallest value? (a) p (b) z (c) -3 a Let t = -7 - -3. Let b = -1175047/20 - -235011/4. What is the third smallest value in -2, 1/8, b, t? 1/8 Let n = 820/321 - 202/107. Let w be 1/(-2)*-5 + -1. What is the third smallest value in n, 0.69, w? w Let z = -85.66 + 85.52. Which is the third smallest value? (a) 115 (b) z (c) -0.1 a Let f be -7*8/12 - -5*1. Let u = -0.7 + 0.5. What is the third smallest value in 1/8, u, -4/33, f? 1/8 Suppose 0 = 134439*f - 134429*f + 40. Which is the third smallest value? (a) -2/76361 (b) 5/2 (c) f b Let o = -70.2 - -69.2. Let t = 3424/11 - 25643/88. Let l = 20 - t. Which is the second smallest value? (a) o (b) 0 (c) l b Let p = 2 + -1.8. Let n = -13 - -9. Let m be 1717/(-102) + (-15)/(165/(-176)). What is the second biggest value in n, 2/5, p, m? p Suppose -5*h + 7*h = 18. Let v = h + -3. Let n be 5/2 + (-39)/v. Which is the second smallest value? (a) 3 (b) 1 (c) n b Let m = 65.05585 + -0.05585. What is the second biggest value in 5, 15, m? 15 Let l = -301.5 + 301.22. What is the fourth biggest value in 0, 3, -0.1, l, 2/7? -0.1 Let d = -0.21 - -0.11. Let w = -11262 + 11304. What is the third biggest value in w, -0.4, d? -0.4 Let t = -0.7 - -0.2. Let h be ((-18400)/8832)/((-10)/(-4))*3/(-10). What is the second smallest value in h, -1/6, t? -1/6 Let i = 91 + -168.4. Let d = 77 + i. What is the second biggest value in d, 0.011, 0? 0 Let v = -7.3 - -7. Let f = -1.8961 - -0.1961. Let j = v + f. Which is the smallest value? (a) j (b) 1 (c) -0.1 (d) -0.2 a Let u = 28 - 26. Suppose -3*i = -u*q - 2, -4*q + q = 2*i + 16. Let f = -488 + 488.4. Which is the second smallest value? (a) -0.4 (b) i (c) f (d) 6 a Let g = -29560 + 17658. Which is the second smallest value? (a) -4/9 (b) 2 (c) g a Let f = 39725 + -39724.9. What is the second smallest value in -9.35, 3, f, -1, 1/3? -1 Let p = -16832 - -16840. What is the third biggest value in 0.5, p, -10, -2/9, 0.4? 0.4 Let b be 104*10/2520 - 6/7. Let m(w) = -w**3 - w**2 - 4. Let a be m(0). What is the biggest value in -3, a, b, 0.15? 0.15 Let o = 5539 - 5538.95. What is the second smallest value in 0, -0.3, 4, -3/5, o? -0.3 Suppose 2*w = -3*p + 7 - 3, 4*w = -2*p - 8. Let q = 2 + -4. Let l(c) = -4*c**3 + 1. Let n be l(1). What is the fourth smallest value in n, q, 3/5, w? 3/5 Let t = -303 - -308.84. Let p = t - -0.16. Let g(r) = 59*r - 1832. Let u be g(31). Which is the smallest value? (a) u (b) p (c) 1 a Let z(q) = -6*q + 12. Let h be z(4). Let n be -2 + (h + 17 - (-1)/1). Which is the biggest value? (a) 7 (b) 2 (c) -0.4 (d) n a Let m = 38303 - 38304. Which is the third smallest value? (a) m (b) 593/8 (c) 5 b Let h = -0.8 - -0.3. Let k = 12579/5 + -88063/35. What is the smallest value in -1/4, 6, k, h? h Let n = 2.7339 + -2.5539. What is the third smallest value in -0.3, n, -5/21? n Let s = -764 - -1166. Let u = s - 413. Which is the second smallest value? (a) u (b) 2/7 (c) -5 c Let z = -0.1 + 0. Let d = 32.33 + -32. Let j = 3.67 + d. What is the second biggest value in z, 0.5, j? 0.5 Let t = -19/630 - 401/630. What is the smallest value in 0.4, 1/5, t? t Let p = -5/208 + -391/1040. What is the third biggest value in 1/3, p, -3? -3 Let n = 1 - -3.3. Let z = n - 0.3. Let f = -30.06 + 30.06. Which is the biggest value? (a) f (b) z (c) 5 c Let t be (-1 + -1)*-1 - 6. Let n = -51.6732 + 0.0732. Let r = -52 - n. Which is the biggest value? (a) r (b) t (c) 2 (d) -9 c Let p = 2.26 - 1.96. Let q = -0.021 - -6.221. Let u = q - 6. Which is the smallest value? (a) 3 (b) u (c) p (d) -1/4 d Let g = 1117.1 - 1120.8. Which is the third biggest value? (a) 2 (b) -2 (c) g c Let a = 12196.79 - 12026. Let y = -171 + a. What is the third smallest value in -1/5, 3, y, -0.5? -1/5 Let i = -22.991 - 0.009. Let j = 23.5 + i. Let u = -1.82 - -2.22. Which is the fourth biggest value? (a) u (b) -3/2 (c) 3/7 (d) j b Let l = -63 - -45. Let n = 12.007 - 11.997. Which is the third smallest value? (a) -1 (b) n (c) 1 (d) l b Let c = -73677/16 - -4605. What is the smallest value in -1/4, c, 1, -0.4, 0? -0.4 Suppose -633*t = -636*t + 45. Suppose -d - t*h + 11*h + 1 = 0, -3*d = -h + 10. Which is the biggest value? (a) 1/12 (b) 157 (c) d b Let y(u) = -u**3 - 15*u**2 - 10*u - 34. Let g be y(-11). Let i be g/52 + (-2 - -10). Which is the smallest value? (a) i (b) 2/11 (c) 0.2 a Let f(y) = y**2 - 32*y + 133. Let a be f(27). Let d be ((-40)/(-24))/((-5)/2*a). What is the biggest value in -4, 0.4, -4.7, d? 0.4 Suppose j - 15 = 2*m, -17*m = -5*j - 13*m + 45. Which is the biggest value? (a) j (b) 141.9 (c) 3 b Let g = -181.91 + 182. Which is the biggest value? (a) g (b) -2/7 (c) -0.16 a Let g(c) = -c**2 - 2*c - 15. Let x be g(-3). Let j be ((-40)/6)/(-5) - (
{ "pile_set_name": "DM Mathematics" }
3 + 0)*(-3*z**2 + 4*z**2 - 3*z**2) + (4*z + 3*z - 4*z)*(-1 - 3 + 3)*(4*z + z + 5*z) to p + w*z**2 + i*z and give w. -28 Rearrange 52 + 19*a**3 - 20*a**3 - 114 + 2*a**3 - 3*a**3 + 0*a**3 + (0 + 0 + 2*a**2)*(3 - 3 - 2*a) to f*a**3 + r*a**2 + o*a + p and give f. -6 Rearrange (9*f - f - 2*f)*(f**3 + 0*f**3 + 2*f**3) + (4*f - 4*f - 3*f)*(0 + 0 + f)*(f**2 + 0*f**2 + 0*f**2) to j*f**3 + z*f**2 + d + o*f + h*f**4 and give h. 15 Express 30*d - d**3 + 16*d + 26*d - 86*d + 1 + d**2 in the form x + u*d**2 + c*d**3 + i*d and give i. -14 Express -3*g**4 + 5*g**2 + 0*g**2 + g**4 - 1 - 8*g**2 - 7*g + 3*g**3 as y*g**4 + o*g + w*g**3 + z*g**2 + v and give y. -2 Express 4*b + 0*b - 2*b + (1 - 6 + 3)*(3*b + 0*b - 4*b) + (248 + 254 - 160)*(-b + 0*b + 0*b) in the form u*b + s and give u. -338 Express 52*j + 56*j - 112*j - 5 - 17 as y + q*j and give q. -4 Rearrange 0 + 14*r**4 + 4*r**2 - 2*r - 6*r**2 - r**4 - 2 to the form t*r**4 + c*r**3 + j + g*r + b*r**2 and give j. -2 Express -d + 1136*d**2 - 1215*d**2 + 3 - 3 as q + b*d**2 + o*d and give o. -1 Express (-2 + 0 + 3)*(17 - 33 - 18)*(7 - 4 - 4)*(2*b + 0*b + 0*b) as m + w*b and give w. 68 Express -9*y**3 - 66*y**3 - 21*y**3 + (3*y + 3 - 3)*(-2*y + 2*y + 2*y**2) in the form d*y + i + l*y**2 + r*y**3 and give d. 0 Rearrange ((0*j**3 - j**3 - j**3)*(3 + 3 - 4) - 4*j**3 + 0*j**3 + 3*j**3)*(3 + 0*j - 2 - 17*j) to t*j**2 + y*j**4 + q + f*j**3 + d*j and give f. -5 Rearrange 0*k**2 - 3*k**2 + 4*k**2 + (6*k + 4*k - 5*k)*(10*k + 7*k - 4*k) + (-k**2 + 5*k**2 - 5*k**2)*(-1 + 2 + 1) to l*k**2 + x*k + u and give l. 64 Express -157*v + 13 - 33 - 247*v + 20 as t + m*v and give m. -404 Rearrange 19*u**2 - 4 + 22*u**2 + 29*u**2 - 57*u**2 + u - 3*u to the form n + y*u**2 + z*u and give n. -4 Rearrange -2*n**4 + 75708*n - 7 - n**2 - 75710*n + 8*n**2 + 0*n**2 to y + h*n**4 + w*n + o*n**3 + f*n**2 and give h. -2 Rearrange 2*r**3 - 15*r - 13*r + 40*r - r**2 + 5*r + 4 - 1 to n + k*r**3 + p*r**2 + i*r and give k. 2 Express 1094*s**2 - 3 - 1092*s**2 + 19*s + 2*s**4 - 4*s as p*s + w + y*s**2 + m*s**4 + q*s**3 and give w. -3 Rearrange (-28 + 28 - 17*a)*(862 - 862 + 76*a) to the form d*a**2 + c + l*a and give l. 0 Express -4*t**2 + 57*t**3 + t**2 - 4*t**3 - 3*t - 30 - 52*t**3 in the form k*t + o + p*t**3 + x*t**2 and give k. -3 Rearrange -4*d**3 + 10 - 41 + 3*d**3 + 4*d - 23 to k*d**2 + m*d + i + j*d**3 and give i. -54 Rearrange 710*g**2 - 20*g**2 - 31*g**2 to the form z + j*g**2 + h*g and give j. 659 Rearrange (s + 0*s + s + (3 - 3 - 1)*(-5*s - 3*s - 3*s))*(2 + 3 + 23) to the form y*s + l and give y. 364 Rearrange (2 + 0 + 0)*(-c + c - c**3) + (42*c + 78*c - 174*c)*(-6*c**2 + 4*c**2 + c**2) + c**2 - c**2 + 3*c**3 to the form v*c**3 + x*c**2 + n + m*c and give v. 55 Express -7 - 642*l - 21 + 46 - 20 as c + r*l and give r. -642 Express 0*r + 7*r - 5*r + 5*r - 4*r - 3*r + (3 - 1 + 0)*(0*r - 2*r - r) in the form m + x*r and give x. -6 Rearrange (14*n - 3*n - 3*n)*(4*n - 3*n**2 - 4*n)*(0 + 2 + 2) to l*n + w + q*n**2 + u*n**3 and give l. 0 Express (-2 + 4 - 2*r + 0*r)*(11 - 22 - 13 + 2 - 2 + 3 + (-3 - 3 + 7)*(4 - 1 - 1) - 6 + 4 + 3) in the form v + y*r and give v. -36 Express (10 + 4 - 16 - 4*z)*(12 + 12 - 10) as m*z + n and give m. -56 Express (-3*b + 5*b + 0*b)*(4 - 1 - 1) - 450*b + 364*b - 151*b as k*b + j and give k. -233 Express -9*k - 1 + 24*k + 14*k**3 - 6*k - 6*k + 9 as d + c*k**2 + m*k + s*k**3 and give m. 3 Express (m - 2 + 2)*(-6 + 6 - 6)*(-17 + 35 - 31) as a*m + p and give a. 78 Rearrange (31 + 70 + 131)*(-16*c**2 + 16*c**2 + c**4) to t + g*c**4 + x*c**3 + b*c**2 + o*c and give g. 232 Express -2*y**2 - 30*y + 4*y**2 + 23*y as g + s*y**2 + k*y and give k. -7 Rearrange (-p**2 - 3*p**2 + 2*p**2 + 3951 - 3951 + 29*p**2 + (-5*p**2 + 2*p**2 + p**2)*(0 - 1 - 1) + 3 + p**2 - 3)*(-3 + 1 + 3) to j*p + r + i*p**2 and give i. 32 Rearrange (-5*d - 64 + 64)*(-87*d**3 + 1406 - 1406) to the form g + a*d + z*d**4 + t*d**3 + k*d**2 and give z. 435 Rearrange (1 + 4 - 2)*(-3 + 3 + 1 + (-2 + 1 + 3)*(1 + 1 + 0))*(-5*m**2 + m - m)*(-7*m**2 + 20 - 20) to the form w*m + u + p*m**2 + l*m**4 + n*m**3 and give l. 525 Rearrange (-3*m**2 - 5*m**2 + 6*m**2 - 1)*(-2 + 2 + 9*m**2) to the form s*m + t*m**3 + i + u*m**2 + b*m**4 and give u. -9 Rearrange (-3 + 0 + 4)*(0 + 1 + 0)*(k + 1 - 1)*(-23 + 23 + 15*k) to the form u + h*k**2 + b*k and give h. 15 Rearrange -18*i**2 + 2*i**3 - 9*i**2 - 5*i**4 + 11 - 2*i**4 + 27*i**2 to the form u*i**4 + a + y*i + h*i**3 + k*i**2 and give h. 2 Rearrange (210*p**2 - 27*p + 210*p**2 - 425*p**2)*(0 + 0 + 2*p) to b*p + k*p**3 + q + r*p**2 and give k. -10 Express -18823*u**2 + 18824*u**2 - 3*u**4 + 25 - u**3 + u**3 as q*u**2 + x + l*u**4 + i*u**3 + f*u and give x. 25 Rearrange 61*h**2 + 6905 - 13822 + 6906 to the form m*h + t + a*h**2 and give a. 61 Rearrange 18*x**3 + 2*x**4 + x - 2 + 16*x**3 + 8*x**3 + 12*x**3 - x**3 to h*x**4 + y*x + g*x**3 + u*x**2 + j and give h. 2 Rearrange -2*n**2 - 298 + 317 - 187 - 481 to the form i + p*n + x*n**2 and give x. -2 Express (-2 + 2 - 5)*(4 - 6 + 1)*(6 - 4 + 1)*(-w - w + w - w - 2 + 2 + 0 + 0 + 2*w + (-4*w + 5*w + 0*w)*(1 + 2 - 2)) as q*w + x and give q. 15 Express -4*z - z**2 - 102 - 98 + 166 in the form d + h*z**2 + j*z and give j. -4 Rearrange (17 + 3 - 9)*(2 + 2*a + 0 + 4) + (a - 5*a + 3*a)*(1 - 4 + 1) to p*a + s and give s. 66 Rearrange a - 4*a**2 + 2*a**2 + 5*a**2 + (3*a + 2*a - a)*(-21*a - 12*a + 7*a) to the form v*a**2 + q*a + i and give q. 1 Express 50*o**3 + 50*o**3 - 101*o**3 - 15*o - 2 in the form t*o**3 + z*o + b + w*o**2 and give t. -1 Rearrange -2 - 6 - 1584*j + 1589*j to y*j + a and give a. -8 Express (0 - 5 + 2)*(1 - 1 - 1)*(8*a + 32*a - 38*a - 95*a**2) in the form d + t*a + s*a**2 and give t. 6 Express (802 - 802 - 358*h**2)*(0 + 1 - 3) as d*h**2 + n + w*h and give d. 716 Rearrange -400*x**2 - 395*x**2 + 796*x**2 - x**4 - 9 + 5*x**3 to the form i*x**3 + w*x**2 + l + z*x + r*x**4 and give r. -1 Express 5*h**3 - h**3 + 4*h + 38 + 0*h + 0*h**3 - 6*h as a + i*h + o*h**2 + x*h**3 and give a. 38 Rearrange -g + 13 + 19 - 32 - 144*g**2 to the form n*g + m*g**2 + p and give m. -144 Express (-g**2 - 2*g**3 + g**2)*(2 - 4 + 0) - 3*g - 7*g**2 + 1159*g**3 - 543*g**3 - 613*g**3 in the form c*g + z*g**3 + o + q*g**2 and give q. -7 Rearrange 3*t + 4513 - 9030 + 4513 to j + r*t and give j. -4 Express (-99*s**3 + 16*s**3 + 9*s**3 + (s + 1 - 1)*(5*s**2 - 2*s**2 - 5*s**2))*(-3*s - s + 5*s) in the form p*s + d*s**3 + o*s**2 + n*s**4 + l and give o. 0 Express (358 - 613 - 607)*(3*v - v + 0*v + (-2 + 2 - 2)*(2*v - 3*v + 0*v)) in the form o*v + f and give o. -3448 Express -y**2 + y**2 - y**3 - 215*y - 217*y - 2*y**2 + 434*y as v*y**2 + o + m*y + s*y**3 and give s. -1 Rearrange -11 - 20*i + 8*i + 14 - 7*i to the form c*i + x and give c. -19 Express 5*k**2 + 77*k**2 + 182*k**2 - k + 6*k**2 - k**2 - 4*k**2 + (-k + k - 2*k**2)*(0 + 0 - 1) + 4*k - k**2 - 4*k as d + j*k**2 + s*k and give j. 266 Rearrange -11*n - 20*n - 8 + 63 - 29 + 2*n to the form r*n + h and give h. 26 Rearrange 9*q**3 - 101626*q**4 - 4*q**3 + 101639*q**4 - 2*q**2 to z*q + u*q**2 + o + y*q**3 + v*q**4 and give u. -2 Rearrange (939 - 939 - 795*v**3)*(3 - 3 + v) to the form c*v**4 + x + q*v**3 + p*v + b*v**2 and give c. -795 Rearrange 111*a - 141*a + 163*a + 177*a to w + g*a and give g. 310 Express (100 + 6 + 104)*(1 - j - 1)*(0*j - 2*j + j) as b*j + v*j**2 + l and give v. 210 Rearrange -3*p**3 - 72*p**2 - 27 + p**3 + 69*p**2 to w*p**2 + n*p + i + l*p**3 and give l. -2 Express -41*i + 17*i - 32*i + (-2*i + 0*i + 4*i)*(4 - 2 + 2 + (2 + 2 - 2)*(-4 + 0 + 5)) as c*i + k and give k. 0 Express 271*y - 172*y + 276*y - 102*y + 369*y in the form n*y + q and give n. 642 Express -123*o**2 - 15004 + 15004 as s*o + t*o**2 + f and give s. 0 Express (25*j**2 + 27*j**2 - 41*j**2)*(-6 + 7*j + 6) in the form c*j + n*j**3 + z*j**2 + r and give n. 77 Express 24*k + 3*k**3 + 7 + 35*k + 37*k - 85*k in the form w + j*k + v*k**3 + f*k**2 and give v. 3 Express i + 0*i**2 + i + 2 - 7*i**2 + 9*i**2 as t*i**2 + c*i + b and give b. 2 Rearrange -128*j - 91*j - 124*j + 41*j to i*j + h and give i. -302 Rearrange -2*r**4 + r**4 - r**4 + (10*r + 6*r - 6*r)*(-4*r + 63*r**3 - 7*r - 30*r**3) to h + c*r + o*r**4 + p*r**2 + k*r**3 and give p. -110 Rearrange (175 + 453 + 201)*(-3*w**
{ "pile_set_name": "DM Mathematics" }
+ 22/(-14)? 3/7 What is the value of (6/(-9))/((-4)/6)? 1 Evaluate -1*(-6 - -17 - 6). -5 3/6*(-2 - -2) 0 Evaluate 3/15 + 8/10. 1 Calculate -2 - ((-24)/20 + 0). -4/5 What is (2 + 1)/9*0? 0 What is 19/6 + (1 - 21/18)? 3 Calculate 50/8 - (8 + 28)/6. 1/4 What is the value of ((-5)/(-15))/((-45)/27)? -1/5 Evaluate (7 - 4 - 5)/6. -1/3 (12/(-10))/((-93)/(-62)) -4/5 What is -5 + -3 + (-44)/(-6)? -2/3 Calculate ((-2)/(-20)*2)/(11/22). 2/5 Calculate (1 + -2)/(7 - 7 - 1). 1 Calculate 16/(-44)*(21/(-6))/7. 2/11 Evaluate (((-45)/(-12))/5)/(9/6). 1/2 What is the value of 1*((-20)/16 - -1)? -1/4 Evaluate 27/5 + 120/(-24). 2/5 What is the value of ((-3)/(-6))/((-33)/44)? -2/3 2/(-6)*4/380*30 -2/19 What is 5*(-3)/3*(1 + 0)? -5 Evaluate (-2)/((4 - 3) + 0). -2 Calculate (-1)/2*(-6 + (-13 - -3)). 8 Calculate 24/(-40) - (-3)/(45/(-66)). -5 What is the value of (-253)/(-77) - (-4)/(-14)? 3 What is 1/2 + 1/(-2)? 0 What is 92/12 + -2 + -5? 2/3 What is (-1)/(-4) - 36/272? 2/17 (400/500)/(1*(-1)/(-5)) 4 Calculate -5 + (1026/99 - (3 - -2)). 4/11 Calculate ((-24)/(-5) + -5)*2. -2/5 Calculate 2/(-13) + (120/(-65) - 2). -4 What is the value of 76/(-16) + 27/36? -4 What is the value of 12/8*(-14)/210? -1/10 -15*(-36)/81*6/(-8) -5 12/(-96) - (-15)/280 -1/14 3 - ((-7)/((-21)/(-12)) - -8) -1 Evaluate (-9)/45*(-3)/3. 1/5 What is the value of 175/(-125) + 3/2? 1/10 (-9)/21 - 1242/189 -7 Evaluate ((-3)/(12/(-1)))/(2/(-8)). -1 What is the value of (27/60)/(132/110)? 3/8 Calculate ((-100)/175)/(4/14). -2 Calculate 734/82 + (-66)/(-1353). 9 4340/(-735) + 6/(-63) -6 Calculate ((-12)/24)/(1/(-8)) + -4. 0 What is the value of (6/(-4))/(10/8)? -6/5 (-21)/(-1134)*(-45)/(-10) 1/12 Calculate (-2)/2*(-3 - (-1 - 4)). -2 Calculate 16/2*(1155/(-44))/21. -10 Evaluate (0 - 4/38) + 36600/(-4636). -8 What is the value of (((-8)/(-4))/2)/(8/(-8))? -1 Calculate 130/60 + (0 - 1) + -1. 1/6 2 - ((-4)/6 - (-3)/1) -1/3 What is the value of (-80)/90 + 1/(-9) - 5? -6 What is 2 + -10 + (-90)/(-30)? -5 What is the value of (-3 - (-21)/14)/((-6)/8)? 2 What is -13 + 9 + (1 - 75/(-27))? -2/9 Evaluate (-3 - -1)*36/24 - 1. -4 Calculate 3*-5*36/(-135). 4 (-3 + (-3 - -4))*(-18)/(-12) -3 ((-2)/42 - 16/56)*6 -2 What is (2/(-6))/((-10)/30)? 1 What is 724/1629*(-2)/((-4)/(-9))? -2 Calculate (60/18)/(210/36). 4/7 Evaluate 4/(-42) - ((-90)/(-35) - 3). 1/3 ((-75)/(-30))/((-1)/(-2)) 5 Calculate (8 - 7) + -21*(-5)/(-135). 2/9 Evaluate (3*-4)/(-11 - -8). 4 Evaluate (-10 - -6 - (-120)/28)/(-1). -2/7 Calculate 12/(-70) + (-16)/(-28). 2/5 Evaluate 1/2 + (-135)/20 + 6. -1/4 (4/10)/(4/(-20)*11) -2/11 395/25 - 5 - 10 4/5 (188/(-1410))/((-2)/5) 1/3 Calculate (((-7)/(-14))/(42/24))/3. 2/21 What is 40/(-60) + -6*(-4)/12? 4/3 Calculate 22/33 + 13/3. 5 What is 2 - (-1 + (-36)/(-16))? 3/4 Evaluate (-6)/4 + (-60)/40. -3 Evaluate (-20)/45*(-7)/(-14). -2/9 What is the value of (-63)/(-28) + ((-16)/4)/4? 5/4 13/(-30) - 46/115 -5/6 Calculate 22/(-24) + (45/(-20))/(-3). -1/6 What is 6 + (9 - (4 - -7))? 4 What is 13/26 - (-15)/36*-2? -1/3 Evaluate (8/12)/((-15)/(-9)). 2/5 Evaluate (-1 + -1)*27/(-36). 3/2 Evaluate (1*2/6)/(85/(-51)). -1/5 Calculate (-15)/(450/16) + 2/3. 2/15 (1 - 0) + (90/(-10))/27 2/3 Evaluate (-6*3/(-54))/(4/(-24)). -2 ((-2)/8*-4)/1 1 Evaluate (-40)/(-150)*(-70)/(-84). 2/9 (1 + -1 + 1)*(-25 + 22) -3 Evaluate 30 - 31 - (5 - 1). -5 What is the value of (360/(-300))/(2/5)? -3 What is 36/(-576)*1*-2? 1/8 What is ((-4)/18)/(10/(-15))*-15? -5 What is the value of (-78)/10 - (-224)/280? -7 What is (-1)/2 - (-4 + (-9)/6)? 5 Calculate 2 + (0 - 1/(-20)*-38). 1/10 What is the value of -3*8*6/72? -2 What is (-8)/2 + 6 + -2? 0 (5/20)/(3/(-66)) - -4 -3/2 What is the value of (-3)/(-12)*(-4)/(-5)? 1/5 What is 3 + (-265)/85*1? -2/17 114/(-22) - (371/77 + -5) -5 (-8)/36 - (2 + (-60)/27) 0 Calculate (-44)/(-55)*(-10)/36. -2/9 What is (6/(-8))/(336/(-128))? 2/7 Evaluate (-4750)/(-625) - (1 + (-21)/15). 8 (-2231)/(-299) - (-6)/(-13) 7 Calculate 36/(-27)*(-6)/(-4). -2 What is (1/(-1)*-1)/(145/(-290))? -2 6/36 + (1 - 7/6) 0 What is the value of (-414)/63 + 4 + (-6)/14? -3 Evaluate (13/(-2) + 2)*(-24)/378. 2/7 What is 0 + 1 + -2 - (4 + -4)? -1 What is -1 + 2/1 - (-49)/(-63)? 2/9 Evaluate 0 + -4 + (-44)/(-12). -1/3 What is (-8)/(-10) + (-18)/((-270)/(-33))? -7/5 What is the value of 0 + 3 + (-6)/(-7) + -4? -1/7 What is (0 + 1)/(-3 + 10/4)? -2 Calculate (18/4)/((-57)/76) - 1. -7 Evaluate 32 + -38 - (2 + -2). -6 Evaluate 3/(-12) - (-14)/56. 0 Calculate 10/(-1) + (-1 + 1 - -6). -4 0/(-3 + 10 + -5) 0 Evaluate (-34)/51*42/(-4). 7 What is (-6)/(-26)*(-90)/135? -2/13 Calculate (-72)/(-12) + (-93)/15 + 1. 4/5 What is the value of (-2415)/299 + 1*8? -1/13 (-30)/(-4)*(-6)/9 + 2 -3 Calculate 12/8*6/9. 1 Calculate ((-2)/(-32)*-12)/(-6). 1/8 Calculate 16/18*124/496. 2/9 What is the value of (-4 + (-4)/3 + 5)*0? 0 What is 75/150 - (-18)/(-28)? -1/7 What is the value of 27/(-1881) + (-22)/(-209)? 1/11 Evaluate -6 - -9*5/(-30)*-8. 6 (-9 - 1)/(5/10*-4) 5 Evaluate 5/6*(33/(-10) + 3). -1/4 (-2 + (-13)/(-6))*6/(-8) -1/8 Evaluate 15/35 - 17/7. -2 1/3*-3*5 -5 Evaluate (1 - -1 - 1)/(187/34). 2/11 What is the value of -4*(90/48 - (-3 + 5))? 1/2 Calculate 1 + ((-5)/(-20))/((-2)/12). -1/2 What is ((-189)/(-28) + -6)/(9/(-8))? -2/3 (-2)/(-7) + (-520)/546 -2/3 Evaluate (-1)/((-35)/24) + 8/(-28). 2/5 (-3)/(-2)*(-8 - (-282)/36) -1/4 What is 6 - 9/(-1) - 10? 5 What is the value of ((-2)/(-16))/(-5 - 490/(-100))? -5/4 Evaluate 0 - (-1 - 7/(-6))*-3. 1/2 What is the value of ((-1)/6)/((-1)/9)? 3/2 28/7 + -4 + -2 -2 What is the value of 1/(-2)*(-5)/(-70)*-4? 1/7 Evaluate (-4*(-3)/8)/(-3). -1/2 (4/8)/((-4)/(-24)) 3 What is the value of ((-12)/(-10))/((-6)/(-40)) + -14? -6 Calculate -6*((-24)/(-351) - (-20)/130). -4/3 What is (-40)/15 + (-4)/(4/(-2))? -2/3 What is 864/756 + -2 + 44/(-14)? -4 What is -4 - (40/5 - 8)? -4 0*1/1*(-4)/(-12) 0 Evaluate ((-81)/108)/((-12)/40). 5/2 What is (3 + -3)/(18 + -21)? 0 What is 330/(-70) - (-6)/(-63)*3? -5 Calculate ((-6)/(-10))/((-118)/590). -3 What is the value of (-27*12/(-90))/((-4)/(-10))? 9 Evaluate ((1 + -2)*-2)/(22/(-44)). -4 Calculate (21/14 - (2 + -1))/2. 1/4 ((-32)/200)/(3 + (-42)/10) 2/15 Evaluate (3 - 10) + (161/28 - -2). 3/4 Calculate (-2)/(120/(-348)) + 1/5. 6 What is the value of 18/(-12)*((-3)/3 + 0)? 3/2 16/(-10)*(-190)/456 2/3 What is (2/(-6))/((-33)/(-198))? -2 What is (2 + -1)/((-11)/55)? -5 Calculate 4/8*(-16)/12. -2/3 What is the value of (210/20 - 13)*(-1)/15? 1/6 Evaluate (-8)/(1*(1 + -2)*10). 4/5 Calculate 22/55*(-38)/(-4) + -4. -1/5 What is the value of (-3 + 5)*13/26? 1 What is the value of (-1)/((-18)/8 - 95/(-38))? -4 What is (3/2 + -2)/(18/(-36))? 1 Evaluate -2*(44/8 - 8). 5 42/(-12)*(-7 - -5) 7 What is -2 + 1 - (68 - 67)? -2 Calculate (-110)/(-100) - ((-10)/(-4))/5. 3/5 What is the value of (-19)/5 - 3/15? -4 -8 + 1 + (-5)/5 + 6 -2 What is (-19)/(-9) - (-26)/(-234)? 2 What is (-42)/(-168)*10/3? 5/6 Evaluate (58 + -52)*(-2)/4. -3 2/11 + (-3182)/(-4884) 5/6 8/12 - 3/(-9)*-3 -1/3 What is -4 + 7 - (-3 + 3)? 3 What is the value of (-34)/12 - (-6 - (-148)/24)? -3 7 + 40/60*-2*3 3 1/2*180/54*3 5 What is 5*-9*(-1)/(-15)? -3 9/(-2)*17/((-408)/16) 3 What is the value of 2 + 1 + 0 + 2? 5 Evaluate 0 + (-3)/((-12)/(-16)) + 2. -2 Evaluate (-15)/(-120)*(0 - 2). -1/4 Calculate 6/(-12)*(-4)/(-14). -1/7 What is 476/(-147) + 4 + (-12)/28? 1/3 What is the value of -44*(-3)/21 + 55 + -61? 2/7 Calculate (2/1)/(26/(-65)). -5 Evaluate 1118/8514 - 4/18 - 0. -1/11 What is (7 - 11)*-1*1/16? 1/4 ((-18)/(-6))/((-7)/2 + 5) 2 What is (-2)/(-2) + -7 + 2 + -6? -10 What is (-19)/4 - (-15)/(-60)? -5 Calculate ((-16)/(-32))/(-1 + (-21)/(-12)). 2/3 Evaluate (-2)/(-25)*95/(-57). -2/15 Evaluate (12/45)/(6/(-18) - -1). 2/5 What is ((-18)/(-48))/(-2*(-4)/(-32))? -3/2 What is (-16 + (29 - 17))/(-1 - -2)? -4 (-1)/8 + (-297)/(-968) 2/11 What is the value of (-8)/(-14)*(735/50)/7? 6/5 -3*(-4)/(-12) + -4 -5 What is the value of (-299)/91 + ((-4)/7)/(-2)? -3 What is the value of (-90)/495 + (-46)/(-132)? 1/6 2/16 + 34/(-272) - 2 -2 What is (11/(-2) + 4)*4*1? -6 What is the value of (21/(-48))/(42/392) + 4? -1/12 Evaluate ((-1)/3)/(-10*10/(-900)). -3 0/((-2)/(7 + -9)) 0 0 + 8/(128/6) 3/8 What is the value of (-54)/(-144) - 42/(-16)? 3 What is the value of 4*11/
{ "pile_set_name": "DM Mathematics" }
of 16 and y(6)? 16 Suppose 3 = -2*v + 17. Suppose 6 = -4*w + 5*h - 11, 2*w = h - v. Calculate the common denominator of -53/20 and 618/(-96) - (w - -2). 80 Let p = 196 - 381/2. Suppose 0 = -5*t - 20, g + 3 - 55 = -5*t. What is the common denominator of (-2)/(-3) + 714/g and p? 12 Let a = 26323/8 + -264940997/80520. Let j = -42547/20130 + a. Find the common denominator of -57/28 and j. 308 Let o = -8161 - -179455/22. Let v(s) = -s**2 - 15*s - 14. Let d be v(-10). Calculate the common denominator of (-22)/d - (-20)/15 and o. 198 Let m = -269/18 - -79/6. Find the common denominator of -46/267 and m. 801 Let q(t) = -3*t**3. Let k be q(-3). Let u = k + -77. What is the least common multiple of 8 and u? 8 What is the common denominator of -25/9 and 9/3 - 5726/1554? 333 Let v(p) = -p**3 + 7*p**2 + 7*p + 8. Let r = 15 + -7. Let q be v(r). Suppose q = -5*s + 2*s + 18. Calculate the lowest common multiple of s and 18. 18 Find the common denominator of 1/(-5) + 142/310 and 4/(-7) + (-157)/(-126)*3. 186 Let m(j) = j**3 - 25*j**2 - j - 2. Let a be m(9). Let t = -27406/21 - a. Calculate the common denominator of -26/9 and t. 63 Let i be 6*(100/(-8) + 3). What is the smallest common multiple of 33 and ((-9)/(-3) + i)/(-2)? 297 Let a = 22 - 23. Let q(n) = -7*n - 2. Let h be q(a). Suppose h*w - 10 = -0*w. What is the smallest common multiple of 22 and w? 22 Suppose 6*o - 3 = -75. What is the common denominator of -17/16 and (-102)/(-60) - 3/o? 80 Let k be -7 + 4/2 + 1. Find the common denominator of 10/(-4)*(-102)/(-100) and 58/k*1/(-4). 40 Let u be (-5 - -8) + 33 - 0. Calculate the common denominator of -34/5 and 3/(-4) - (3/u + 0). 30 What is the least common multiple of 19*(2 - 0) - 0 and (2 - (13 - 5) - (-76)/14)*-14? 152 Let r be 15/(-2082)*-554 - 1*4. Let u = 5959/6940 + r. Find the common denominator of -101/6 and u. 60 What is the common denominator of -27/2 and (8 - 30/4) + (-254)/310? 310 Let s(w) = w**2 - 54*w + 8*w + 13*w - 76 + 15*w. Let t(h) = -h - 3. Calculate the smallest common multiple of t(-5) and s(22). 12 Let s(t) = 6*t + 1. Let v be s(1). Suppose 0 = -f - u + 8, -4*f - 22 = -v*f - u. Suppose 5 = 7*y - 6*y. Calculate the least common multiple of f and y. 35 Let d be 4*((-145)/(-20) - 0). Let l = d - 62. Let a = l - -36. What is the smallest common multiple of a and 11? 33 Suppose -11*h = -9*h + 4. Find the common denominator of (-6 - (-174)/28)*(-21)/h and 137/12. 12 Let x = -1299/340 - -6/85. Calculate the common denominator of x and -1/1700. 1700 Suppose 8 = 19*u - 15*u. Suppose -4*i - 144 = -5*s, s + 5*i - 116 = -u*s. Calculate the least common multiple of 16 and s. 32 Let f = 267 + -259. What is the smallest common multiple of 44 and f? 88 Let w = -240521/18 - -13369. Find the common denominator of (-3)/2*-93*3/(-54) and w. 36 Suppose -2*o = 4*q - 19640, 0*q - 4*q + 19642 = 3*o. Let w = -98257/20 + q. Let i = -2/11539 - -311573/115390. Calculate the common denominator of w and i. 20 Suppose -21*x + 19*x = -4*h + 908, 2*h + 2*x - 448 = 0. Calculate the lowest common multiple of h and 10. 1130 Suppose -4*t + 530 = -694. Let j = 2/13 - 109/286. Calculate the common denominator of j and 6/(-18) + 777/t. 374 Calculate the smallest common multiple of 2/(-3) + 4/((-24)/(-70)) and 12. 132 Let k(j) = -6*j + 2. Suppose -162 = -32*m + 94. What is the least common multiple of m and k(-3)? 40 Suppose -2196 = -5*l + 4679. Let f = l + -8293/6. Find the common denominator of 77/2 and f. 6 Let s(v) = v - 68. Let i be s(17). Let x = i + 73. Calculate the least common multiple of 18 and x. 198 Let p = 1 + 5. Suppose 4*o = 2*o + 16. Suppose -o*d - 4*d + 132 = 0. What is the least common multiple of d and p? 66 Let q(y) = -y**3 + 6*y**2 + 7*y + 2. Calculate the smallest common multiple of (8/(-6))/((-26)/117) and q(7). 6 Suppose -147 = -5*q - 4*c - 31, -5*q - 5*c + 115 = 0. Suppose 3*a = a - q. What is the common denominator of 36 and 330/a*(-2)/6? 6 Let i = 4 + -13. Let t = -32 + i. Find the common denominator of t and 24/25. 25 Suppose -3*j = -2*m + 24, -2*m + 4*j = -4*m + 10. What is the lowest common multiple of m and 54? 54 Let u = -67992/11 + 12510077/2024. Calculate the common denominator of -125/6 and u. 552 Let k(f) = f**2 - 13*f - 7. Let t = 17 - 3. Calculate the least common multiple of k(t) and 9. 63 Find the common denominator of 535/102*((-184)/(-80) - 2) and 61/153. 612 Let r(t) = -151*t**2 + t. Let l be r(-1). Calculate the common denominator of (-1)/6*l/12 and 70/80*380/14. 36 Let q = 23777 + -665867/28. Find the common denominator of 83/28 and q. 28 Suppose -n + 959 = 4*m, -15*n = -4*m - 12*n + 963. What is the smallest common multiple of m and 176? 2640 Let f = 1458 + -18985/13. Calculate the common denominator of f and 0/2 - 37/(-5). 65 Let c(a) = -5*a**2 - 131*a + 11. What is the least common multiple of 7 and c(-26)? 259 What is the lowest common multiple of 135 - (0 + 0)/(-10) and 55? 1485 What is the common denominator of 29/16 and -10 + 9 + 124/22? 176 Suppose 8*p - 18 = 5*p. Let b = 390685/16804 + 2/4201. What is the common denominator of (52/p)/(4/7) and b? 12 Let u(g) = -2*g + 2. Let r be u(-8). Let j = -11 + r. Let q(c) = 2*c + 8. What is the lowest common multiple of 14 and q(j)? 154 Suppose 5*c + a - 296 = 0, -2*c + 8*a - 7*a + 124 = 0. What is the smallest common multiple of 200 and c? 600 Suppose -a + 9 = -g - 3*g, -5*g = 10. Find the common denominator of (10/6 + -1)*-54 and (297/30 + a)/((-30)/25). 12 Let a = -27491/1470 - -1212/49. Calculate the common denominator of (4354/60)/7 - (-10)/(-240)*-8 and a. 30 Let u = -23/6 + 69/10. Calculate the common denominator of 67/21 and u. 105 Suppose 4*d - 675 = -627. Calculate the lowest common multiple of 21 and d. 84 Suppose -48 = 3*k - 66. Let l(o) = -o**3 - 2*o**2 + o + 3. Calculate the lowest common multiple of (-36)/(-16) + k/8 and l(-3). 9 Let h be (3 - 10)/1 + -1. Let a(y) = -72*y**3 - 3*y**2 - 3*y - 3. Let u be a(h). Let n = 880771/24 - u. What is the common denominator of n and 13/4? 24 Find the common denominator of 28/56 - (-31)/(-3) and (-5)/(-45) - 1498/684. 114 Let s = -11 - 4. What is the smallest common multiple of 10 and -2 + s/(-9) - (-402)/18? 110 Let x = 1227 - 9887/8. Calculate the common denominator of (-8)/28 + 2/(336/524) and x. 24 What is the least common multiple of 78 and (-4 + -6)/((-3)/6)? 780 Suppose -4*y - 3*v = -5*v + 42, -3*y = -4*v + 39. Let c = 2 - y. Calculate the least common multiple of 2/(-6) + 24/18 and c. 11 Suppose -2*i = 2*p - 38, 0 = 4*i + 4*p - 7*p - 111. What is the lowest common multiple of i and 36? 72 Suppose 0 = -0*m - 3*m - 426. Let v = m - -74. Find the common denominator of 3/22 and v/153*453/(-32). 264 Let s be -900*(-2)/3*(-24)/(-40). Let j = -3963/11 + s. Find the common denominator of j and -13/8. 88 Let x = -16 - -2. Let n = x + -39/2. Calculate the common denominator of n and (-15)/(-36)*2*515/25. 6 Calculate the common denominator of -5/24 and (142/(-36))/(8800/264). 600 What is the common denominator of 133/12 and -1 - 5 - -6 - 33/(-28)? 84 Let b = 1067/2 + -28931/54. What is the common denominator of b and -19/9? 27 Let g = -9 + 14. Suppose 0 = -2*q + 33 + 65. Let o = -43 + q. What is the lowest common multiple of o and g? 30 Suppose -8712 = -17*c - 27*c. What is the lowest common multiple of c and 220? 1980 Let q = 21 - 19. Find the common denominator of -91/4 and (-714)/180 + q/(-15). 20 Calculate the smallest common multiple of 689/65 + 8/20 and 66. 66 Let x = -7372 + 66274/9. What is the common denominator of x and 9/25? 225 Let a be 6/(-3 + 0) - -2. Calculate the lowest common multiple of 10 and 22 + a - (-13 - -17). 90 Let k(b) = b**2 + b - 2. Let o(j) = 20*j**2 - 4*j + 2. Let z be o(4). Let p be 2/9 - z/(-81). Calculate the lowest common multiple of k(p) and 10. 90 Calculate the least common multiple of (-12)/(0 - 6/16) and ((-12)/(-30))/(5/100 - 0). 32 Let o be ((-72)/(-210))/((-1)/3410). Let t = o + 1171. Let y = -439/168 - 95/24. Calculate the common denominator of t and y. 7 Let d = -2111540/37 - -57073. Let h = d - 5303/666. What is the common denominator of 4/(-10) - 1138/(-220) and h? 198 Let q(c) = -c**3 - 17*c**2 - 16*c + 6. Suppose -w - 50 = 3*x, -4*w - 72 = x + 3*x. Suppose -8 - 12 = -2*g. Calcul
{ "pile_set_name": "DM Mathematics" }
n multiple of 48 and 220? 2640 Calculate the common denominator of 61/1842 and 71/200164. 600492 What is the smallest common multiple of 3645 and 2430? 7290 Find the common denominator of 157/42372 and -49/275. 1059300 Calculate the smallest common multiple of 9 and 6138. 6138 What is the lowest common multiple of 2262 and 690? 260130 Find the common denominator of 79/111450 and -77/6. 111450 Find the common denominator of -127/3384 and 83/5076. 10152 What is the least common multiple of 99 and 55359? 608949 What is the common denominator of 77/3496 and -17/2024? 38456 What is the smallest common multiple of 207324 and 390? 1036620 What is the lowest common multiple of 8024 and 31093? 248744 What is the lowest common multiple of 70658 and 4? 141316 Calculate the lowest common multiple of 2653 and 7763. 2942177 Calculate the common denominator of 139/210 and -29/1610. 4830 Calculate the lowest common multiple of 145356 and 24. 290712 Calculate the least common multiple of 188 and 3572. 3572 Find the common denominator of -133/16740 and -22/423. 786780 Calculate the lowest common multiple of 22126 and 2. 22126 Find the common denominator of -38/9963 and -5/8766. 9703962 What is the smallest common multiple of 158774 and 11341? 158774 What is the common denominator of 45/2348 and 13/107421? 429684 Calculate the common denominator of -43/13125 and 2/525. 13125 What is the lowest common multiple of 328518 and 164259? 328518 What is the common denominator of 71/172 and -30/167? 28724 Calculate the smallest common multiple of 521315 and 2543. 521315 Find the common denominator of 67/8645 and 111/280. 69160 Calculate the smallest common multiple of 605 and 69938. 349690 Find the common denominator of -13/336352 and -113/40. 1681760 Find the common denominator of -39/355 and 62/2485. 2485 What is the common denominator of 65/246 and 16/5089? 1251894 What is the lowest common multiple of 161571 and 7? 1130997 What is the least common multiple of 12942 and 448656? 1345968 What is the common denominator of 7/8352 and 83/2610? 41760 Calculate the common denominator of 143/3624 and -103/4228. 25368 What is the least common multiple of 108 and 5562? 11124 What is the least common multiple of 87 and 161250? 4676250 What is the common denominator of -27/323800 and 17/600? 971400 Calculate the least common multiple of 19888 and 19888. 19888 Find the common denominator of 93/4 and 61/329798. 659596 What is the least common multiple of 8 and 1422? 5688 What is the lowest common multiple of 32 and 564800? 564800 Calculate the lowest common multiple of 22368 and 144. 67104 Find the common denominator of -55/7 and 25/18388. 128716 Calculate the smallest common multiple of 1947794 and 12. 11686764 Calculate the common denominator of -73/3672 and -47/186048. 558144 What is the common denominator of 47/18686 and -17/13? 242918 Find the common denominator of 11/96156 and -21/4. 96156 Calculate the smallest common multiple of 310676 and 12. 932028 Calculate the least common multiple of 3 and 8164. 24492 What is the common denominator of 61/4 and -119/20322? 40644 What is the least common multiple of 136 and 12172? 24344 What is the lowest common multiple of 21411 and 16653? 149877 What is the lowest common multiple of 44415 and 19035? 133245 What is the common denominator of -13/565844 and -125/12? 1697532 Calculate the smallest common multiple of 312 and 16926. 67704 What is the common denominator of -22/45 and 17/48460? 436140 What is the common denominator of 14/65 and -11/13140? 170820 What is the lowest common multiple of 108 and 207960? 1871640 What is the lowest common multiple of 14822 and 1148? 8507828 What is the lowest common multiple of 2250 and 75150? 375750 Calculate the smallest common multiple of 97440 and 4. 97440 What is the lowest common multiple of 5772 and 22? 63492 Find the common denominator of -1/68 and -13/52798. 1795132 Find the common denominator of -89/226000 and 85/1808. 226000 Calculate the common denominator of -43/1023600 and -125/24. 1023600 Calculate the smallest common multiple of 156 and 155888. 6079632 What is the common denominator of 73/389592 and -22/340893? 2727144 Calculate the common denominator of -45/32 and -79/4642. 74272 What is the common denominator of -87/676 and -119/310? 104780 Calculate the least common multiple of 39200 and 50. 39200 What is the lowest common multiple of 22 and 2568256? 28250816 Find the common denominator of 97/504 and -101/2952. 20664 Calculate the common denominator of 89/2030 and -187/420. 12180 What is the common denominator of -31/40935 and 77/36? 491220 What is the smallest common multiple of 82266 and 411330? 411330 Find the common denominator of 31/216 and -11/8370. 33480 Calculate the common denominator of 29/16775 and -91/18920. 5770600 Calculate the common denominator of -53/648 and -97/384. 10368 What is the common denominator of -83/1098 and 67/44? 24156 What is the common denominator of 149/1314 and 191/6570? 6570 What is the smallest common multiple of 18 and 2761? 49698 Find the common denominator of 117/2680 and -139/25728. 128640 Calculate the lowest common multiple of 34716 and 4208. 138864 What is the smallest common multiple of 38640 and 96? 77280 Calculate the lowest common multiple of 42720 and 420. 299040 Find the common denominator of 37/90 and 117/401020. 3609180 What is the lowest common multiple of 8870 and 364? 1614340 What is the least common multiple of 124 and 44082? 88164 What is the common denominator of 52/2961 and 46/4653? 32571 Find the common denominator of 12/1805 and -63/25. 9025 Calculate the common denominator of -31/163526 and 57/996022. 10956242 Calculate the common denominator of 27/15220 and 93/66968. 334840 What is the common denominator of -27/1250 and 65/44? 27500 What is the lowest common multiple of 784 and 8? 784 Calculate the lowest common multiple of 6181 and 18543. 18543 Calculate the lowest common multiple of 490520 and 10. 490520 What is the common denominator of -82/357 and -109/245616? 245616 Calculate the common denominator of -107/158304 and -145/72. 474912 What is the least common multiple of 12 and 17196? 17196 Calculate the least common multiple of 20480 and 176. 225280 What is the lowest common multiple of 158 and 298? 23542 Calculate the least common multiple of 186228 and 45. 931140 Calculate the lowest common multiple of 45 and 9990. 9990 What is the least common multiple of 72 and 2964? 17784 Find the common denominator of -48/5 and 101/146506. 732530 What is the lowest common multiple of 16155 and 134625? 403875 What is the lowest common multiple of 2270 and 27792? 31543920 What is the lowest common multiple of 3212564 and 20? 16062820 Calculate the smallest common multiple of 28024 and 5424. 168144 What is the common denominator of -27/8300 and -43/13280? 66400 What is the common denominator of 62/439635 and -28/45? 1318905 What is the common denominator of -49/10 and 62/73023? 730230 What is the common denominator of 43/13041 and 121/59616? 417312 What is the common denominator of -15/19 and 1/4? 76 What is the common denominator of -53/5761 and 23/7407? 51849 What is the lowest common multiple of 148 and 148220? 5484140 Find the common denominator of -54/295 and 14/295. 295 Calculate the common denominator of 8/1161 and 73/258. 2322 What is the common denominator of -5/7 and 97/29962? 209734 Find the common denominator of -1/12 and 75/262238. 1573428 What is the smallest common multiple of 99567 and 1095237? 1095237 What is the smallest common multiple of 1089 and 194337? 2137707 What is the common denominator of -31/28 and 8/245? 980 What is the common denominator of -139/3780 and -17/36? 3780 Calculate the common denominator of 31/1476 and 7/2251392. 6754176 What is the lowest common multiple of 310 and 36828? 184140 Find the common denominator of 14/3977 and -41/3686. 151126 What is the lowest common multiple of 45 and 918960? 2756880 What is the lowest common multiple of 507960 and 6640? 1015920 Calculate the smallest common multiple of 2569 and 483. 177261 Calculate the common denominator of -43/17423 and 24/917. 17423 Calculate the lowest common multiple of 2098 and 104. 109096 Find the common denominator of 39/179218
{ "pile_set_name": "DM Mathematics" }
6. Let s(o) = -o**2 - o + 1. Give -m(n) + 6*s(n). -14*n**2 - 4*n Let u(w) = w + 1. Let m(t) be the first derivative of 2*t - 1. Suppose 4*d - 15 = -15*y, -3*d = -3*y - 0*y + 3. Give y*m(c) - 4*u(c). -4*c - 2 Let m(h) = 26*h - 11. Let k(p) = -24*p + 13. Calculate -2*k(q) - 3*m(q). -30*q + 7 Suppose 5 = 13*m - 8. Let y(r) = -r + 1. Let p(o) = -6*o**3 - 13*o + 6. Let h(k) = 3*k**3 + 7*k - 3. Let z(f) = 7*h(f) + 4*p(f). What is m*z(a) - 3*y(a)? -3*a**3 Let n(w) = -3*w - 3. Let c = -82 - -89. Let i(q) = -c*q - 6*q + 4 - 7*q + 23*q. What is 2*i(j) + 3*n(j)? -3*j - 1 Let h(p) = p**3 + 14*p**2 + 33*p - 7. Let x be h(-11). Let c(f) = 3*f - 3. Let v(o) = -o + 1. Determine x*v(u) - 2*c(u). u - 1 Let m(i) = i**2 + 2*i. Let o be m(-4). Let c(w) = -11*w + 9. Let x(r) be the first derivative of 17*r**2/2 - 14*r - 2229. Determine o*c(d) + 5*x(d). -3*d + 2 Let w(t) = 181*t**3 - 6*t**2 + 11*t + 11. Let j(c) = -36*c**3 + c**2 - 2*c - 2. What is 11*j(n) + 2*w(n)? -34*n**3 - n**2 Let k(p) = -p + 7. Let z(c) = -8. Give 4*k(d) + 5*z(d). -4*d - 12 Let l(v) = v**2 + 2*v + 2. Let y(u) = 5*u**2 - 129*u + 12. Determine 6*l(z) - y(z). z**2 + 141*z Let l(z) be the first derivative of z**2/2 + 9*z + 1. Let v(h) = -3*h - 14. Let i be v(-3). Let c(q) = 5. Determine i*c(a) + 3*l(a). 3*a + 2 Let x(v) = v**2 - v. Let n(h) = 7*h**2 + 8*h - 6. Let t(g) = -9*g**2 - 9*g + 7. Let l(u) = 6*n(u) + 5*t(u). Let j = -7 + 8. What is j*l(f) + 5*x(f)? 2*f**2 - 2*f - 1 Let m(y) = -22 - y**3 + 4*y + 15 + 3*y**3 + 7. Let r(x) = 3*x**3 + 3*x. Determine 3*m(t) - 4*r(t). -6*t**3 Let u(o) = 3*o**2 - o - 1. Let i(q) = -2 + 2 + q - q**2. Let a be 24/18*6/4. Suppose -5*j - 5 = a*s + 3, 0 = 2*s + j. Calculate s*u(x) + 2*i(x). x**2 + x - 1 Let v(b) = -7*b - 6. Suppose -g = -3*g. Let f = 11 - g. Let z(y) = f + 10*y + 6*y - 11*y + 8*y. Determine -11*v(x) - 6*z(x). -x Let m(a) = -14*a - 6. Let r be 64/(-32)*(-3)/2. Suppose 0 = -3*q - q - 5*v - 29, -r*q + 5*v = 48. Let k(b) = 3*b + 1. Calculate q*k(h) - 2*m(h). -5*h + 1 Let v(b) = 7*b**3 - 12*b**2 + 6*b + 6. Let k(m) = -m**3 + m**2 - m - 1. Suppose 11*p - 6*p + 5 = 0. Determine p*v(l) - 6*k(l). -l**3 + 6*l**2 Suppose -5*l = 2 + 48. Let y(o) = -o + 1. Let a(v) = -6*v + 9. Let f(j) = -1. Let k(b) = a(b) + 3*f(b). Give l*y(z) + 2*k(z). -2*z + 2 Let k(a) = 3*a**3 - 2*a + 3. Suppose -5*l - 1 = -11. Let b(h) = 23*h**3 + 17*h**3 - 39*h**3 - h. Calculate l*b(x) - k(x). -x**3 - 3 Let x(k) = -5*k + 11. Let l(y) = y + 1. Let n(d) = 6*l(d) + x(d). Let s be n(-10). Let u(q) = 3*q + s - q + 5*q. Let a(j) = j + 1. Determine 6*a(t) - u(t). -t - 1 Let h(r) = 177*r**2 - 9. Let d(x) = -59*x**2 + 3. Give -11*d(q) - 4*h(q). -59*q**2 + 3 Let z(g) = -2*g - 2*g + 8*g. Let t(m) = -m. Let h(p) = 3*t(p) + z(p). Let u(x) = 8*x - 4 + 1 + 2. Determine 14*h(j) - 2*u(j). -2*j + 2 Let b(j) = 2. Let a = 102 + -99. Suppose 0 = -5*d + 2*t - 36, 4*d - d - 2*t = -20. Let w(k) = -k**2 + 5. Give a*w(u) + d*b(u). -3*u**2 - 1 Let h(w) = -21*w - 3. Let j(k) = -235*k + 669*k - 228*k - 227*k - 4. What is 4*h(c) - 3*j(c)? -21*c Let k(h) = 7*h**3 - 6*h**2 + 6*h + 6. Let a(y) = -14*y**3 + 11*y**2 - 11*y - 11. Let q be ((-75)/10 + 9)/((-6)/(-44)). What is q*k(l) + 6*a(l)? -7*l**3 Let b(q) = -q**2 + 431. Let h(o) = -o**2 + 215. Give 3*b(p) - 5*h(p). 2*p**2 + 218 Let g(k) = 18*k. Suppose 10*l + 10 = 20*l. Let a(d) = -d. Give l*g(w) + 15*a(w). 3*w Let i be 13 + -1*2 + 0. Let k(s) = 8*s**2 - 20*s + 8. Let j(h) be the first derivative of -h**3 + 7*h**2/2 - 3*h + 300. Calculate i*j(p) + 4*k(p). -p**2 - 3*p - 1 Let r(f) = -1. Suppose -b = t - 2*t, 2*b = t + 2. Let x(l) = l - 3. Let h be (-45)/18*32/(-10). Let w be ((-10)/h)/(15/60). Calculate b*x(s) + w*r(s). 2*s - 1 Let g(d) = -4*d**2 + d - 1. Let v(u) = -23*u**2 - 9*u - 4. Let l(r) = 4*g(r) - v(r). Let m(k) = -3*k**2 - 6*k. Calculate 6*l(j) + 13*m(j). 3*j**2 Let v(o) = 3*o + 2. Let d = 27 - 22. Let i(j) = 3*j - 10. Let y be i(d). Let q(p) = -7*p - 3 - 5 + 3. What is y*v(b) + 2*q(b)? b Suppose -2*i - 3 = 9. Suppose 0 = 4*y - 20, -3*y = -4*a + a. Let l(k) = k**3 - 6*k**2 + 7. Let o(s) = s**3 - 5*s**2 + 6. What is a*l(g) + i*o(g)? -g**3 - 1 Let h(x) = 15*x**2 + 7*x - 32. Let g(q) = 8*q**2 + 4*q - 16. Determine 7*g(o) - 4*h(o). -4*o**2 + 16 Let a(b) = -b + 3. Let d(h) = -18*h - 12. Give -6*a(j) - 2*d(j). 42*j + 6 Let i(k) = -2*k**2 - 2*k + 3. Let f = -21 + 35. Let s(h) = 1 + 13 - 10*h + 2*h**2 - 12*h**2. Determine f*i(n) - 3*s(n). 2*n**2 + 2*n Let x(y) = -2*y**2 + 7*y - 6. Let n(a) = 2*a**2 - 6*a + 5. Suppose 7*h - 29 = -71. Determine h*n(b) - 5*x(b). -2*b**2 + b Let k(v) = 47*v**3 + 13*v**2 + 626*v + 26. Let g(c) = 22*c**3 + 6*c**2 + 313*c + 12. Give 13*g(u) - 6*k(u). 4*u**3 + 313*u Let m(n) be the first derivative of 2*n**4 + 3*n**2/2 + 2*n - 246. Let z(d) = 15*d**3 + 5*d + 4. What is 7*m(v) - 4*z(v)? -4*v**3 + v - 2 Let c(w) = 24*w - 122. Let v be c(5). Let a(s) = -s - 1. Let h be a(-3). Let n(b) = b**2. Let u(o) = 4*o**2. What is h*u(f) + v*n(f)? 6*f**2 Let q(i) = -2*i**2 + 1. Let b(g) = 16*g**2 - 2*g - 10. Calculate b(d) + 12*q(d). -8*d**2 - 2*d + 2 Let o(w) = -15*w**2 + 4*w - 30. Let l(s) = 7*s**2 - 2*s + 14. Determine 13*l(j) + 6*o(j). j**2 - 2*j + 2 Let j be (-24)/(-9) + (-20)/(-15). Let k(s) = -5*s**3 - 3*s**2 - 3. Let n(w) = 6*w**3 + 4*w**2 + 4. Determine j*k(h) + 3*n(h). -2*h**3 Let q(h) = 4*h - 510. Let p(n) = -2*n + 254. What is -5*p(y) - 2*q(y)? 2*y - 250 Let z(a) = -23*a**2 + 17*a + 26. Let l(q) be the first derivative of 8*q**3/3 - 3*q**2 - 9*q + 143. Give 17*l(y) + 6*z(y). -2*y**2 + 3 Let c(z) = 3*z**3 - 2*z**2 - 36*z - 9. Let i(p) = p**3 - p**2 - 18*p - 4. Calculate 2*c(o) - 5*i(o). o**3 + o**2 + 18*o + 2 Let o(z) = -497*z**2 - 284*z - 284. Let r(y) = -5*y**2 - y - 1. Determine o(s) - 284*r(s). 923*s**2 Let c(j) = 8*j + 19 - 8 - 8 - 2*j. Let z(u) = 4*u + 7. Let m(i) = 7*i + 15. Let y(v) = 3*m(v) - 7*z(v). Give -6*c(o) - 5*y(o). -o + 2 Let a be 8 + (-10 - -1) + 5/(-1). Let o(u) = 13*u + 6. Let l(w) = 27*w + 13. Calculate a*l(t) + 13*o(t). 7*t Let c(v) = 11*v + 82. Let o(u) = -13*u - 81. Calculate -7*c(b) - 6*o(b). b - 88 Let w(t) = 4*t - 5. Let r(f) = 9*f - 11. Let i(j) = -j**3 + 8*j**2 + j + 5. Let n be i(8). Suppose -3*p - 5 - n = 0. What is p*r(c) + 13*w(c)? -2*c + 1 Let s(v) = -2*v - 2. Let n(g) = -g**2 - 7*g - 7. Let f = -646 - -1801. Let x be (f/(-14))/(-11)*8/10. Calculate x*n(w) - 21*s(w). -6*w**2 Let z(b) = 384*b**2 + 6. Let u(l) = 383*l**2 + 8. Calculate -3*u(r) + 4*z(r). 387*r**2 Let t(y) = 133*y. Let v(q) = 95761*q. Give -1441*t(u) + 2*v(u). -131*u Let c(z) = 9*z + 16. Let i(t) = 11*t + 16. What is -5*c(r) + 4*i(r)? -r - 16 Suppose 4*u - 3 = 2*m - 29, 11 = 3*m + u. Let l(r) = -6*r - 4. Let a = 10 - 6. Let y(w) = -w + 1 + a*w - 3*w + w. Give m*y(b) + l(b). -b + 1 Let k(p) = -8*p + 5. Let s(m) = 39*m - 24. Let x be ((-44)/8)/11*-48. Calculate x*k(y) + 5*s(y). 3*y Let p(i) = -4*i + 3. Suppose 0 = -189*m + 188*m + 34. Let y be 3/1 - (-1 + -2). Let r(a) = 23*a - 17. Give m*p(g) + y*r(g). 2*g Let h(r) = 13*r**2 + 5*r + 2. Let v(d) be the second derivative of 7*d**4/12 + d**3/2 + d**2/2 - 3*d - 8. What is -3*h(k) + 5*v(k)? -4*k**2 - 1 Let h(r) = 8*r - 24. Let o(k) = 1. Give -h(t) - 16*o(t). -8*t + 8 Let u(n) = n**3 + n. Let b(d) be the first derivative of -10*d**4 - 18*d**2 - 234. Determine 2*b(o) + 72*u(o). -8*o**3 Let m(o) = -o. Let x be -1 - (-1 + 2) - (141 - 149). Let h(g) = -7*g - 2. Give x*m(d) - h(d). d + 2 Let a(g) = -6*g**3 - 3. Let x be -5 - 1/((-4)/8). Suppose 3*u - 2*u = 46. Let h(f) = -5 + 3 + 1 + u*f**3 - 47*f**3. Calculate x*h(z) + a(z). -3*z**3 Let r(k) = -k**2. Let t(n) = 2*n**2. Let a(u) = -2*u**3 - 115*u**2 - 54*u + 169. Let i be a(-57). Calculate i*t(g) - 3*r(g). -g**2 Let y = -9 + 5. Let t(j) = -2*j. Let a = 6605 + -6598. Let s(v) = -v. Determine a*s(b) + y*t(b). b Let m(z) = 8*z + 1. Let l(v) = 23*v + 2. Let t be -51*((-6)/33 + 15/(-99)). Determine t*m(w) - 6*l(w). -2*w + 5 Let o(a) = -3*a**3 + 5*a**2 - 6. Let c(u) be the first derivative of u**4/2 - 2*u**3/3 + 3*u - 481. What is 5*c(d) + 2*o(d)? 4*d**3 + 3 Suppose p + 3*j - 6 = 0, -11*j + 13*j - 12 = 2*p. Let t(l) = -7*l - 4. Let k(f) = -7*f - 3. Calculate p*t(d) + 4*k(d). -7*d Let i(n) = 2*n**3 - 6*n**2 - 11. Let w(u) = 4*u**3 - 13*u**2 + u - 24. What is -13*i(t)
{ "pile_set_name": "DM Mathematics" }