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*h**2. Let c(o) = -2*o. Determine c(r(l)). -1000510*l**2 Suppose 8 = 3*w + 4*j - 7, -3*j + 15 = 3*w. Let n(v) = v - w*v - 2*v + 4*v. Let b(q) = 7*q**2. Determine b(n(t)). 28*t**2 Let u(y) be the second derivative of y**3/6 - 11*y**2 + 196*y. Let h(x) = 3*x. What is h(u(k))? 3*k - 66 Suppose 5*s - 5*x = 540, 5*x + 430 = s + 3*s. Let i(p) = 110 + 5*p - s. Let m(w) = 2*w. What is i(m(d))? 10*d Let i(c) = -c**2. Let j(p) = 4*p**2 - 11. Let r(z) = 3*z**2 - 11. Let a(h) = 2*j(h) - 3*r(h). Give i(a(n)). -n**4 + 22*n**2 - 121 Suppose -3*b + 10 + 2 = 0. Let v(y) = 3*y - 4 + b. Let j(t) be the first derivative of -2*t**2 - 1. Give j(v(x)). -12*x Let j(h) = 94*h**2. Let g(d) be the second derivative of 4*d**3/3 - 370*d. What is g(j(a))? 752*a**2 Let j(f) be the second derivative of -f**3/6 + 3*f**2/2 - 4*f. Let i(t) = 2*t. Calculate i(j(u)). -2*u + 6 Let z(m) = m + 8. Let x(d) = 2*d + 28. Let p(b) = -2*x(b) + 7*z(b). Let c(k) = -63*k - 3. Determine p(c(v)). -189*v - 9 Let r(y) = y. Let k(s) be the first derivative of 11*s**3/6 + 5*s + 1. Let h(f) be the first derivative of k(f). Calculate h(r(l)). 11*l Let s(m) be the second derivative of 5*m**4/12 - 110*m. Let l(t) = 25*t. What is s(l(x))? 3125*x**2 Let d(h) = -34166*h. Let q(p) = 2*p**2. Give q(d(i)). 2334631112*i**2 Let o(k) = -4*k + 0*k - 10*k. Let j(h) = 4 - 3 + 505*h - 1 - 502*h. Give j(o(v)). -42*v Let p(k) = 13*k - 5. Let v(r) = -r**2 + 54*r + 49*r - 103*r. What is v(p(l))? -169*l**2 + 130*l - 25 Let g(q) = -q**2. Let s(b) = -b**3 - 12*b**2 + 13*b + 12. Let p be s(-13). Let m be (-23)/(-4) - (-3)/p. Let u(k) = 4*k + k - 16*k - m*k. Calculate u(g(y)). 17*y**2 Let g(z) = 3*z**2. Let i(x) be the third derivative of 0*x**3 + 0 - 3/4*x**4 + 0*x + 18*x**2. Give g(i(j)). 972*j**2 Let h(o) = 62*o - 5. Let t(a) = 693*a - 56. Let p(b) = -56*h(b) + 5*t(b). Let q(c) = -15*c. Calculate p(q(l)). 105*l Let u(a) = -55655*a. Let z(k) = -23*k**2. Calculate u(z(o)). 1280065*o**2 Let d(u) = -60*u**2 + 215*u**2 + 49*u**2 + 63*u**2 + 190*u**2. Let t(o) = 2*o. Calculate t(d(y)). 914*y**2 Let l(c) = 16*c**2 + 32. Let g(n) = 1. Let o(j) = -32*g(j) + l(j). Let h(u) = 13*u. Give o(h(y)). 2704*y**2 Let c(l) = l. Let q(f) be the third derivative of -7*f**5/60 - 55*f**2. Calculate q(c(z)). -7*z**2 Let s(a) = -6*a - 6. Let l(h) = -5*h - 9. Let m(b) = 2*l(b) - 3*s(b). Let w(o) = -5*o**2. Calculate m(w(j)). -40*j**2 Let v(c) = -3*c**2. Let s(h) = -217326*h**2 + 5*h. Determine s(v(w)). -1955934*w**4 - 15*w**2 Let i(v) = -631408*v. Let j(r) = -3*r. Calculate i(j(c)). 1894224*c Let d(k) = -4*k**2 - k. Let q(a) = -225*a**2. Determine d(q(n)). -202500*n**4 + 225*n**2 Let i = 51 + -49. Let l(b) = 3*b**i - b**2 + b**2 - 2*b**2. Let v(m) = -73*m. Give l(v(q)). 5329*q**2 Let w(x) be the first derivative of -3*x**2/2 + 1. Let j(d) be the third derivative of -5*d**4/12 - 9*d**2 - 12. Give w(j(b)). 30*b Let n(j) = 2*j**2. Let o(l) = -80516*l**2. Give o(n(x)). -322064*x**4 Let t(v) = 5*v. Let x = -11 - -29. Suppose x = 4*n - 2, -5*h + 4*n = 0. Let y(l) = -11*l + 11*l + h*l**2. Determine y(t(j)). 100*j**2 Let y(x) be the third derivative of -37*x**4/8 + x**3/6 - 47*x**2 + 2*x. Let z(s) = 2*s. Give y(z(u)). -222*u + 1 Let m(k) = -44934*k**2 + 22*k. Let v(o) = -3*o**2. Give m(v(f)). -404406*f**4 - 66*f**2 Let f(h) be the third derivative of -h**4/12 - 9*h**2 - 2. Let l(n) = -10*n - 1. Calculate l(f(s)). 20*s - 1 Let h = 20 - 17. Let x(r) = 1 - 1 - h*r. Let i(k) = -k - 2. Let a(s) = -3*s - 7. Let n(q) = -6*a(q) + 21*i(q). What is n(x(u))? 9*u Let u(f) be the third derivative of 17*f**5/12 - 29*f**2 + 3*f. Let g(s) = -2*s. Give u(g(n)). 340*n**2 Let j(y) = 4*y**2. Let d = 17 + -11. Let u(b) = 13*b**2 - 3*b + 9*b - 4*b**2. Let l(v) = -10*v**2 - 7*v. Let i(q) = d*l(q) + 7*u(q). Calculate j(i(h)). 36*h**4 Let i(c) = -15532*c**2 - 2*c + 2. Let t(l) = 2*l**2. Determine i(t(v)). -62128*v**4 - 4*v**2 + 2 Let k(c) be the third derivative of -c**7/2520 + 37*c**5/60 - 14*c**2. Let i(s) be the third derivative of k(s). Let v(u) = -32*u. Calculate v(i(z)). 64*z Let p(b) = -123760*b. Let m(t) = -5*t**2. Calculate p(m(h)). 618800*h**2 Suppose 6*y - 665 = -59. Let n(k) = 101*k + 5*k**2 - y*k. Let i(x) = 2*x. Give n(i(o)). 20*o**2 Let z(y) = 31506*y. Let d(m) = -10*m**2. What is z(d(t))? -315060*t**2 Let z(w) be the third derivative of 7*w**4/6 + 35*w**2 + 2. Let s(u) = 3*u**2. Determine s(z(m)). 2352*m**2 Let x(l) = -72922*l**2. Let n(q) = q**2. Give x(n(u)). -72922*u**4 Let d(y) = -4. Let r(v) = 9*v - 216. Let u(k) = 54*d(k) - r(k). Let a(w) = 5*w. Determine u(a(b)). -45*b Let l(z) be the second derivative of 0*z**2 + 0 - 16*z + 1/6*z**3. Let r(b) be the second derivative of -b**4/2 - b. What is r(l(f))? -6*f**2 Let a(d) = -d**2. Let q(i) be the first derivative of -11*i**2/2 - 93. Give q(a(b)). 11*b**2 Let f(n) = 179 - 2*n - 89 - 90 + 4*n. Let l(s) = -6*s**2 - 32*s. Give l(f(d)). -24*d**2 - 64*d Let x(d) = -d**2. Let k(v) = v**3 + v - 1. Suppose 0 = -t - c + 1, 5*c + 1 = 2*t - 8. Let y be k(t). Let m(r) = -30*r + y*r + 4*r. Determine m(x(o)). 17*o**2 Let a(j) = -21*j + 30. Let v(y) = 68*y - 96. Let b(c) = -16*a(c) - 5*v(c). Let g(s) = 9*s**2 - 3 + 3. Calculate g(b(o)). 144*o**2 Let w(s) be the first derivative of -2*s**3/3 + 56. Let g(n) = -3 + 4*n + 0*n - n - 2*n. Give g(w(q)). -2*q**2 - 3 Let u(w) = w**2. Let n(a) = 1033 - 23*a + 6*a - 1032 - 24*a. Give n(u(s)). -41*s**2 + 1 Let i(q) be the first derivative of 10*q**3/3 - 135. Let k(a) = -38*a. Give i(k(s)). 14440*s**2 Let n(i) = -4 + 4 - 131*i + 129*i. Let m(v) = 45*v**2. Determine n(m(c)). -90*c**2 Let g(s) = 718*s. Let w(q) = -7*q**2 + 27. What is g(w(f))? -5026*f**2 + 19386 Let b(y) = -2*y. Let p(z) = 0 + 6 - 5 + 3*z**2 + z - 2*z**2. Let l(i) = -2*i**2 - 5*i - 5. Let j(a) = -l(a) - 5*p(a). What is j(b(q))? -12*q**2 Let l(r) = -6*r**2. Let v(p) = 328*p - 4*p**2 - 663*p + 335*p. Give l(v(z)). -96*z**4 Let x(f) = 2*f - 40. Let z(d) = -d + 15. Let c(a) = 3*x(a) + 8*z(a). Let u(k) = 20*k**2 + 2*k - 2*k. Calculate u(c(t)). 80*t**2 Let a(r) = r. Let b(c) be the second derivative of -98*c**4/3 - 429*c. Give b(a(z)). -392*z**2 Let z be 342/8 + (-5)/80*-4. Let n(d) = -z - 4*d + 2*d + 43. Let m(y) = 11*y. Calculate n(m(q)). -22*q Let i(d) = -2*d. Let u be (-7)/(((-12)/4)/3). Let q(t) = -4*t + 10*t - 4*t + u*t. Calculate q(i(c)). -18*c Let o(b) = -3*b**2. Suppose n - 3*q = -n - 13, 2*q = -n + 11. Let k(p) = 3 - 2 + p - n. Calculate o(k(v)). -3*v**2 Suppose -r + b = -8 + 4, b = -5*r + 26. Let c(d) = r - 14 + 11*d + 9. Let m(u) = -10*u. Calculate c(m(f)). -110*f Let u(n) = 2*n. Let v(q) = 431426*q. Determine u(v(r)). 862852*r Let q(k) = -38*k + 5. Let z(i) = -874*i + 114. Let j(g) = 114*q(g) - 5*z(g). Let x(a) = -5*a**2. What is x(j(y))? -7220*y**2 Let p(n) = -2*n - 407752 + 407752. Let m(j) = -4*j**2 + 4. What is p(m(u))? 8*u**2 - 8 Let b = -65 - -11. Let w be (-1122)/b + 2/9. Let o(p) = w*p - 21*p - p**2. Let g(l) = 7*l**2. Calculate g(o(c)). 7*c**4 Let j(c) = 8*c**2 - 1100. Let i(m) = -15*m. Determine i(j(w)). -120*w**2 + 16500 Let f(c) = 3*c**2 + 19*c + 7. Let a(o) = -214*o. Determine f(a(l)). 137388*l**2 - 4066*l + 7 Let y(k) = -481 + 965 - 484 - 5*k. Let b(d) = 10*d**2. Calculate b(y(u)). 250*u**2 Suppose -r + 2 + 4 = 0. Let t(a) = -28*a - 6. Let l(f) = 671*f + 143. Let w(y) = r*l(y) + 143*t(y). Let i(b) = -2*b**2. Determine w(i(z)). -44*z**2 Let j(w) = w. Let q(y) = -78*y + 208. What is j(q(c))? -78*c + 208 Let d(l) = -11 + 12 - 3*l + 5*l - 1. Let b(j) = -24*j. Determine b(d(u)). -48*u Let p(x) = 68*x + 72*x - 141*x. Let u(y) = -146*y**2. What is p(u(i))? 146*i**2 Let j(p) = 34*p. Let r(y) = 288*y. Let g(b) = -42*j(b) + 5*r(b). Let q(n) = 16*n**2. Give g(q(u)). 192*u**2 Let u(a) be the third derivative of -a**4/12 - 72*a**2. Let v(b) = -10*b + 3*b + 2*b. What is u(v(d))? 10*d Let g(f) = -5*f. Let u(m) = -2*m**2 - 36*m. Let y be u(-18). Let z(r) be the third derivative of -1/12*r**4 + 0*r + 0*r**3 - 6*r**2 + y. Calculate z(g(n)). 10*n Let y(l) = -6*l + 7. Let z(d) = d - 1. Let b(m) = 5*y(m) + 35*z(m). Let t(g) be the third derivative of g**5/30 - g**2 - 9*g. Give t(b(x)). 50*x**2 Let b(z) = -4*z + 1. Let o(s) = -2*s. Let k(i) = i. Let t(v) = 3*k(v) + 2*o(v). Give b(t(p)). 4*p + 1 Let y(k) = 4*k. Let q(d) b
{ "pile_set_name": "DM Mathematics" }
+ 30 = 5*t for t. 2 Let x be 3 - (2/(-5) - 14/(-10)). Solve 0*q + z = -4*q - 3, -4*z + 2 = x*q for q. -1 Suppose -5*c + 4 + 21 = 0. Suppose -d = c*t - 11, -5*t = 5*d - 2*d - 13. Let j = -1 + d. Solve j*p + p - 4 = -3*l, 5*l = 15 for p. -5 Let r(j) = 4*j**3 - 1. Let l be r(1). Suppose -l*w = -2*w. Suppose 5*t - 13 - 12 = w. Solve -6*p + 45 = -2*p - 5*a, 0 = 4*p + 3*a - t for p. 5 Let w(a) = 3*a**2 - 7*a - 23. Let c be w(-3). Suppose z + 5 = 2*z. Solve 4*o - 3*g - 20 = 0, -z*o + 2*g = -g - c for o. 5 Suppose 0 = -19*f + 15*f + 12. Suppose 2 = -f*z - 1, -22 = -3*w - 2*z. Solve 3*q - h + w = 0, 6*q = q + 2*h - 15 for q. -1 Suppose -3*s + 22 = -4*x, 4*x - 3*x = -4*s + 4. Suppose -2 = 5*i - 7. Solve -2*k + 1 = -5*t + 2, k - s*t = -i for k. -3 Let k(s) = s**3 - 19*s**2 + 19*s - 17. Suppose 22 - 4 = j. Let z be k(j). Solve 2*n + 16 = 5*d, -2*d = -n + 2*n - z for d. 2 Let s(p) = -2*p**2 + 35*p + 24. Let h be s(18). Solve 5*g = 5*b - 15, 3*b + h = -5*g + 31 for b. 5 Let b be (5 - 1)*(-1)/(-2). Let m = -21 + 62. Let w = m + -33. Solve -5*p = -2*p - 2*o - w, -12 = -5*p + b*o for p. 2 Suppose 0 = -2*l - 4*w + 120, -276 = -2*l - 3*l - 4*w. Let i = l - 46. Solve 2*s = -4*b - 16, -5*s + 3*s + b - i = 0 for s. -4 Let n(g) = g**2 + 32*g + 31. Let q(r) = 3*r**2 + 95*r + 93. Let l(y) = -8*n(y) + 3*q(y). Let u be l(-28). Solve 2*m + 5 = u*j, -4*m = 4 - 0 for j. 1 Let d = -27 + 47. Let q be -1 - (d + -2) - 3. Let o = -1 - q. Solve -3*w = 4*g + 25, 3*g + 0*w + 3*w = -o for g. -4 Suppose 14*i = 19*i. Suppose -j + i + 4 = 0. Suppose -4*z + 11 = -9, o - 2*z = -6. Solve 4*b = -t + b + j, -o*t - b + 5 = 0 for t. 1 Let t(h) = -2*h**3 + 10*h**2 - h + 7. Let q be t(5). Solve -3*k - 12 = 3*b, 0 = q*k + 5*b - 1 + 9 for k. -4 Let a(h) = h**2 - 48*h - 203. Let q be a(52). Solve 0 = -4*k + c, -10 = -q*k - 3*c + 7 for k. 1 Suppose -m - 16 = 3*m. Let h be m + 5 - -3 - -1. Suppose -25 = h*b, -3 = -2*c - 3*b - 14. Solve 1 = 5*i - 4*p + 5*p, 2 = -c*i + 2*p for i. 0 Let o be (-4 + 4)/(1 + 1). Let s be o/((5 - 4) + -2). Solve -2*l - 3*u + 4 = s, -4*u = 2*l - 0*l - 8 for l. -4 Let q = -357 + 361. Solve 0 = 3*n, -q*n = 5*z - 3 + 18 for z. -3 Let y(o) = -2*o - 8. Let l be y(-5). Suppose 3*h = -4*s + 19, -3*s = 5*h + l - 19. Solve 0 = s*a + 5*k - 3, -2*a - 3*k = -a - 6 for a. -3 Suppose 18 = 3*p + 3*d, 5*p - 13 - 1 = -d. Solve b - 21 = 4*w, 3 - p = b for w. -5 Let q be (6/(-27)*15)/(2/(-3)). Suppose q*f = 6*f + 2*f. Solve -2*d = -8, h + f*d = -d - 1 for h. -5 Suppose 3*f - 7 = 2. Suppose -t = -f*w - 3*t + 15, 2*w = 5*t + 10. Let c = 12 + -6. Solve -4*o = -3*h + c, -5*h - 13 = w*o + 12 for o. -3 Let f be (-387)/(-86)*(-4)/(-9). Solve -3*t = -f*t - 2, -t + 12 = -5*x for x. -2 Let g(x) = -x**3 - 13*x**2 - 13*x - 10. Let b be g(-12). Solve -5*s = -4*v + 25, b*s - 2*v + 27 = 3*v for s. -1 Let a = 225 - 223. Solve 2*x = 2*t - 0*t + 10, -a*x = -3*t - 10 for x. 5 Let v = -79 - -81. Solve 5*p - 10 = 4*r - v*r, 5*p = 4*r + 10 for p. 2 Let k be 2/((0 - -2)/(-1)). Let q = 5 + k. Let p(s) = -s**3 - 18*s**2 + 46*s + 152. Let b be p(-20). Solve 4 = -2*f - 4, -4*f = q*n + b for n. -4 Let i be -8*(-6)/(-12) + (-1 - 104). Let n = 111 + i. Solve -5*o + 2*v - 6 = 0, -3*v + 0 = -4*o - n for o. -2 Let q = 325 + -322. Solve -5*i - q = 3*c - 14, -i + 3*c = -13 for i. 4 Suppose 6*v = -3*k + v - 31, -5*v = -2*k - 54. Let g = -15 - k. Solve 6*h - 2*h = 3*n + g, -5*h - 4*n = 13 for h. -1 Let m(l) = l - 1. Let f be m(3). Suppose -37 = 3*a + 2. Let t be (a + 15)*(2 - 0). Solve 5*v + 2 = t*u, v - 10 = 4*v + f*u for v. -2 Let n = -1 - -1. Let c(g) = 2*g**2 - 7*g + 11. Let p be c(5). Solve -5*z + 22 = j - 0*j, n = 2*j - 4*z + p for j. -3 Let f = 7 + -22. Let c(i) = -9 + 44*i + 49*i - i**3 - 96*i - 14*i**2 - i**2. Let p be c(f). Solve 5*v + p = -4*w, 2*v + 6*w - w = -28 for v. -4 Let d = -520 - -523. Solve -5*b = 5*f - d*f + 7, 5*b - 5 = -5*f for b. -3 Suppose 5*w + 3*d = 3, -2*w = -0*d - d + 1. Solve w = o + 4*o - 2*m + 5, -3*o + 5*m + 16 = 0 for o. -3 Let w be (80/(-15) - -5)/(1/(-15)). Solve -w*q = 3*u + 29, u - 3*q - 2 = 7 for u. -3 Let q(l) = -97*l - 190. Let j be q(-2). Solve 4*k = -2*y, -6*y = 2*k - j*y for k. 0 Suppose -42 = -15*r + 33. Solve -2*m + 3*i = 7, r*i + 2 = 7 for m. -2 Suppose -4*v = 0, -4*k + 2*v + 16 = 6*v. Solve 2*j = 4*g - k, -2*g = -j - 2*j - 10 for j. -4 Let u(f) = 6*f**3 - f. Let r be u(1). Let x(m) = -m**2 - 3*m + 18. Let n be x(-7). Let c be -3*(5 + n + 4). Solve -8 = -c*t - t, -r*s + 3*t = -4 for s. 2 Suppose -q + 15 = 4*q. Suppose -10 - 5 = -q*i. Solve -i*j = 3*m, m + 0*m = -4*j - 7 for j. -3 Suppose -16*g = -20*g. Let v be g*(-5 + 2 + 4). Solve -3*a = -3*z - 12, v = -z + 3*z - 4*a + 16 for z. 0 Suppose -2*b + 4 = -18. Let c(n) = 4*n - 8. Let j(p) = p + 1. Let d(r) = -2*c(r) + 6*j(r). Let i be d(b). Solve -v - 2 = -0*v - z, 3*z = i for v. -2 Let n(c) = c**2 + 4*c - 2. Let d be n(-5). Solve 0 = -d*g + 5*k + 12, -4*g - 5*k + 0*k - 19 = 0 for g. -1 Let h be 1 - -2 - 1 - -1. Let k(p) = p**2 - 6*p - 12. Let r be k(6). Let m(u) = u + 13. Let n be m(r). Solve -3*w = x - 0 + n, -23 = 5*x - h*w for x. -4 Suppose -11*y + 17 + 16 = 0. Solve r = -5*b + 2*r - 5, -3*b + r = y for b. -1 Suppose -6*i + 749 = 233. Let k = i - 69. Solve 0*w = -v + 4*w - k, 5*v - 3*w + 17 = 0 for v. -1 Let h = -42 - -28. Let b = h - -10. Let i be b/(-6)*3*2. Solve -i*c + 4*p = 12, -c - 2*p + p = -1 for c. -1 Let m be (-16)/(-10) + (-84)/(-10) + -8. Solve 5*n + b = 4*n + 3, 4*b = -m*n + 2 for n. 5 Let b = 6 - 2. Suppose -15*i + 76 = -11*i. Suppose -20 = -5*a - 3*z + z, -a - 5*z = i. Solve -4*o - 6 = a*n - 4*n, -4*n = -b*o - 12 for n. 1 Let q(c) = c**2 + 11*c + 10. Suppose -5*f - 45 = 5. Let x be q(f). Suppose 0 = -4*o - x*o. Solve o = -t - 0*v + 3*v - 20, 0 = -5*v + 25 for t. -5 Let j = 1 - 0. Let v(w) be the third derivative of -w**5/60 - w**4/12 + w**3/2 - w**2 + 87. Let q be v(j). Solve -3*u = -q*y + y - 13, 0 = 5*u - 20 for y. 1 Let j(n) = n**2 + 15*n + 27. Let k be j(-13). Solve -3*r - y = -2, k = 4*r + 2*y - y for r. -1 Let n(u) = -u + 16. Let j be n(-4). Suppose -6*b = -b - j. Solve s + 7*i = 3*i - b, 2*s - 4*i - 4 = 0 for s. 0 Let s(d) = 3*d**3 - 3*d**2 + 5*d - 2. Let t be s(1). Solve 2*m - z + 4 - 3 = 0, -t*m + z = 1 for m. 0 Suppose 0 = 6*o - 13*o + 14. Let t be (1 + o)/(39/104). Suppose 56 = 3*d - 2*i, -2*d - 3*i + t = -38. Solve c + 2*y = 14, 0 = -5*y + y + d for c. 4 Let j be 12/10*(19 - 9). Suppose -o = 4*r - j, -44 = -2*o + 2*r - 0*r. Solve -a = 4*n + o, -2*a = 2*n - 0*a + 16 for n. -4 Let k = -29 + 33. Suppose k*h + 9 - 29 = 0. Solve 5*l - 35 = 5*z, -h*z - 4*l = -2*l for z. -2 Let c be (3/(-2))/((-3)/8). Suppose 8*y = 9*y - c. Suppose -4 = -y*s + 2*f - 0, -s = 5*f - 23. Solve 3*g + 2 = 2*g - 3*w, -s = -3*w for g. -5 Suppose 0 = 2*g - 3*g. Let d(o) = o**2 + 6*o - 11. Let b be d(2). Suppose g*p + b = p. Solve 0 = p*w + f + 3*f + 16, -3*w - f = 11 for w. -4 Suppose 2*d - 10 = -5*x, -4*d + 2*x = 6*x - 8. Suppose n - 1 = 0, -4*p + 2*n - 7*n + 25 = d. Solve 2*t + 0*r + 3 = -p*r, -3*t = 4*r + 8 for t. -4 Let y be (-1)/((-1)/(-3)) - -15. Suppose -h + y = 2*h. Let l be (-6)/15 + (-14)/(-10). Solve -o - 3 = -l, -4*o = h*g - 12 for g. 5 Suppose 0 = -2*u + 3*j + 13, 0*u - 9 = 3*u + 5*j. Suppose -u = -g - 4. Let k be 5 + (2 - (g + 0)). Solve h + b - 2 = 0, 2*h = 2*b + b + k for h. 3 Let q = -57 + 87. Let j(f) = f**3 + 6*f**2 - 3*f - 12. Let z be j(-6). Let x be z/(-2) + q/5. Solve -4*d = -5*a - 20, x*d - 5*a - 28 = -8 for d. 0 Let z be 0*(-6)/8*6/(-9). Suppose z*f + 3*p + 34 = 5*f, p = 3*f - 18. Solve -b + 3*s = -0*b + 10, f*s = -2*b + 35 for b. 5 Let g(r) = 3*r**2 + 5*r - 11. Let b(p) = -p**2 - 3*p + 6. Let s(y) = 5*b(y) + 2*g(y). Let i be s(3). Solve -5*m - d - 16 = 0, 2*d - 4*d = -i*m - 4 for m. -3 Suppose g = -4*l - 5, -3*g + 4 = 19. Let o be (32/(-10))/(3/(-15)). Solve l = -5*i + 20, 4*j + 2*i = -i + o for j. 1 Let g(x) = -2*x + 4. Let f be (4/3)/(4/6). Let j be g(f). Solve j = p + o - 8, -o - 9 = -3*p + o for p. 5 Let g = -154 + 270. Let w = -111 + g. Solve 3*s + w = -2*s, 2*s = q - 2 for q. 0 Suppose -8*t + 15 = -3*t. Suppose 0 = -t*o + 8*o. Let f be 28/5 - 51/85. Solve 4*u = -3*l + 20, -3*l - 25 = -f*u - o*u for u. 5 Suppose -20 = 4*o, 50 = 5*r - 5*o + o. Let k be (-7 + r)/((-2)/10). Solve -2*i - 3 = 2*i + 5*v, 0
{ "pile_set_name": "DM Mathematics" }
lacement from eqeneeqqqqeenqeeaq. Give prob of sequence eqne. 49/4590 What is prob of sequence zez when three letters picked without replacement from xzfzzffefne? 2/165 What is prob of sequence ukx when three letters picked without replacement from {q: 1, s: 1, u: 1, k: 1, x: 1, m: 6}? 1/990 Three letters picked without replacement from mmhmimbmmbibwvbbm. What is prob of sequence hbw? 1/816 Two letters picked without replacement from kcccccxxgcxxcxcxc. Give prob of sequence gx. 3/136 What is prob of sequence jwk when three letters picked without replacement from {j: 1, k: 1, w: 2, n: 3}? 1/105 Four letters picked without replacement from vvzvvvzvv. Give prob of sequence zvvz. 1/36 Two letters picked without replacement from fqpfpsfppngngnf. What is prob of sequence gs? 1/105 Calculate prob of sequence srs when three letters picked without replacement from ttsrssststsssttsss. 55/2448 Three letters picked without replacement from {u: 2, q: 1}. What is prob of sequence uqu? 1/3 What is prob of sequence km when two letters picked without replacement from {k: 4, j: 6, m: 1, v: 2, x: 1, p: 4}? 2/153 Three letters picked without replacement from {d: 2, b: 2, g: 2, x: 7, i: 5}. Give prob of sequence bbd. 1/1224 Two letters picked without replacement from ooooooooo. What is prob of sequence oo? 1 What is prob of sequence mn when two letters picked without replacement from {y: 1, i: 2, n: 11, f: 3, m: 1}? 11/306 Four letters picked without replacement from mmrrajzmjarnjajnrjma. What is prob of sequence mjjz? 2/2907 Four letters picked without replacement from {q: 5, g: 6, e: 2}. What is prob of sequence eegg? 1/286 Three letters picked without replacement from iuizmoummolooomuzo. Give prob of sequence zli. 1/1224 Three letters picked without replacement from {a: 3, k: 5, e: 1}. What is prob of sequence kke? 5/126 Three letters picked without replacement from {t: 1, y: 2}. What is prob of sequence yty? 1/3 What is prob of sequence fy when two letters picked without replacement from yfyfyyfyyyyfyyyyyy? 28/153 Calculate prob of sequence ppc when three letters picked without replacement from ppmcbpmppchpmmphh. 7/340 Three letters picked without replacement from cxeecwecwcewwewwwe. Give prob of sequence wxc. 7/1224 Four letters picked without replacement from {u: 1, c: 2, f: 1, m: 1, x: 1, y: 1}. Give prob of sequence fcmx. 1/420 Four letters picked without replacement from {o: 7, d: 1, k: 3, w: 3}. Give prob of sequence okko. 3/286 Two letters picked without replacement from {b: 9, v: 2, c: 1, y: 6}. What is prob of sequence bv? 1/17 What is prob of sequence bf when two letters picked without replacement from {b: 2, g: 2, f: 2, h: 4}? 2/45 Calculate prob of sequence woio when four letters picked without replacement from oowwoowoooooioowowoo. 91/11628 Three letters picked without replacement from {e: 1, k: 2, a: 1, w: 1}. Give prob of sequence kwa. 1/30 Two letters picked without replacement from {y: 8, o: 5}. Give prob of sequence oy. 10/39 Four letters picked without replacement from {l: 3, x: 1, v: 3, p: 5}. What is prob of sequence vvpx? 1/396 Calculate prob of sequence bb when two letters picked without replacement from aaaggaagaaagbb. 1/91 Four letters picked without replacement from ddtdctdddgkk. What is prob of sequence gdtt? 1/990 Four letters picked without replacement from tytomyy. Give prob of sequence oyym. 1/140 What is prob of sequence zzc when three letters picked without replacement from zcccccczccccycccc? 7/1020 Calculate prob of sequence nnb when three letters picked without replacement from {b: 4, n: 2}. 1/15 What is prob of sequence wwxi when four letters picked without replacement from hiiwwxxxwwwwa? 3/286 Two letters picked without replacement from bhh. Give prob of sequence hb. 1/3 Calculate prob of sequence cgk when three letters picked without replacement from {k: 4, c: 6, q: 2, g: 2, o: 3, z: 1}. 1/102 What is prob of sequence iv when two letters picked without replacement from {i: 17, v: 2}? 17/171 Two letters picked without replacement from {z: 1, p: 1, v: 1, f: 1, o: 5}. Give prob of sequence po. 5/72 What is prob of sequence wj when two letters picked without replacement from {j: 6, a: 10, w: 2}? 2/51 Calculate prob of sequence ky when two letters picked without replacement from {b: 1, k: 14, y: 2}. 7/68 What is prob of sequence putu when four letters picked without replacement from nnnutunnp? 1/1512 Four letters picked without replacement from nnxnxnxgxx. What is prob of sequence xnnx? 1/21 Three letters picked without replacement from jjjyujyjjjyjyyy. What is prob of sequence uyy? 1/91 Three letters picked without replacement from {n: 5, g: 5}. What is prob of sequence ggg? 1/12 Three letters picked without replacement from {p: 3, y: 8, i: 2, v: 3}. What is prob of sequence pvy? 3/140 Calculate prob of sequence pguu when four letters picked without replacement from {x: 2, c: 4, u: 9, p: 1, g: 1}. 3/2380 Calculate prob of sequence jl when two letters picked without replacement from {l: 1, f: 3, e: 1, c: 6, j: 1}. 1/132 What is prob of sequence kk when two letters picked without replacement from {k: 5, a: 5, v: 2}? 5/33 What is prob of sequence caq when three letters picked without replacement from {q: 1, a: 3, c: 1, w: 1, i: 1}? 1/70 Calculate prob of sequence rlw when three letters picked without replacement from {h: 1, l: 2, w: 3, t: 1, r: 4}. 4/165 Calculate prob of sequence ee when two letters picked without replacement from epeeppepeeeeep. 36/91 Two letters picked without replacement from {v: 1, b: 1, w: 1, l: 2, u: 1, f: 1}. What is prob of sequence uf? 1/42 Four letters picked without replacement from {p: 4, x: 6, r: 2, b: 3}. Give prob of sequence bbpp. 1/455 Two letters picked without replacement from nuqnccrnnnnnqurrqnq. Give prob of sequence cc. 1/171 Two letters picked without replacement from hhhhhhhhwhw. What is prob of sequence wh? 9/55 Two letters picked without replacement from {b: 7, d: 3, z: 2}. Give prob of sequence db. 7/44 Four letters picked without replacement from bybyybdbdbbww. Give prob of sequence bbww. 1/286 Three letters picked without replacement from {s: 5, y: 2, v: 3}. What is prob of sequence svy? 1/24 Calculate prob of sequence lsy when three letters picked without replacement from {l: 12, s: 2, y: 3}. 3/170 Three letters picked without replacement from kkkkkkkll. What is prob of sequence kkk? 5/12 Four letters picked without replacement from ddtp. Give prob of sequence ptdd. 1/12 Four letters picked without replacement from cowcocoocoo. Give prob of sequence occc. 1/55 Calculate prob of sequence yyo when three letters picked without replacement from yoy. 1/3 Calculate prob of sequence eeee when four letters picked without replacement from eeeeeee. 1 Calculate prob of sequence wwww when four letters picked without replacement from qqqwwwwwwwwwqwwwww. 1001/3060 Calculate prob of sequence kgqj when four letters picked without replacement from akqiiagaakgaiijkjii. 1/7752 Two letters picked without replacement from ssefafm. What is prob of sequence ma? 1/42 Calculate prob of sequence xuxu when four letters picked without replacement from tuuuutttuuuuxuuxtut. 55/23256 Calculate prob of sequence kmf when three letters picked without replacement from mkfkkfkkkfkkfkmmkk. 11/408 Calculate prob of sequence azza when four letters picked without replacement from ezzzxesaeaxexexe. 1/3640 Calculate prob of sequence rwb when three letters picked without replacement from wrb. 1/6 What is prob of sequence npza when four letters picked without replacement from zzzqzqzqnzzaqaqzzp? 1/4080 What is prob of sequence bbx when three letters picked without replacement from {c: 5, a: 2, x: 3, t: 2, b: 3}? 3/455 What is prob of sequence fkfk when four letters picked without replacement from kkkkkkkkkkfkkffk? 3/140 What is prob of sequence rr when two letters picked without replacement from bubiussubrsrussu? 1/120 Four letters picked without replacement from {a: 5, t: 3, d: 1, z: 1}. What is prob of sequence taaa? 1/28 Two letters picked without replacement from imxxpxxxxxxxmixqxxxm. What is prob of sequence xi? 13/190 Two letters picked without replacement from {m: 4, p: 1, x: 2, z: 1, e: 4, f: 3}. Give prob of seq
{ "pile_set_name": "DM Mathematics" }
inder when u is divided by h? 13 Let a = -2266 - -2278. Suppose 3*s + 2*q - 127 = 0, q + 2 = -q. Let b = s - 20. What is the remainder when b is divided by a? 11 Let t = -68 + 77. Suppose 0 = -3*h - t + 75. Calculate the remainder when 151 is divided by h. 19 Let y = -1463 - -1498. Calculate the remainder when 192 is divided by y. 17 Suppose -432 = 16*k - 2000. What is the remainder when 1563 is divided by k? 93 Let o(n) be the second derivative of n**4/12 + n**3/2 + 15*n**2/2 - 15*n. Calculate the remainder when 170 is divided by o(-7). 41 Let b be 2/(-3)*99/(-22). Let s(f) = 4*f - 2. Let k be s(1). Suppose b*q = -3*y - 5 + 17, 40 = 4*y - k*q. Calculate the remainder when 23 is divided by y. 7 Let n(x) = -x**3 - x**2 + 2*x + 77. Calculate the remainder when n(0) is divided by 27. 23 Let o(d) = d**3 - 5*d**2 - 2. Let c be o(5). Let j(m) = -4 - 3*m**3 - 3*m**2 - 7 - 2 + 11 - m. What is the remainder when 22 is divided by j(c)? 10 Suppose -64*t + 1441 + 5919 = 0. Calculate the remainder when t is divided by 32. 19 Let v = -7 + 10. Suppose 0 = -v*b + 6*b, -b = z - 79. Suppose 2*c - 4 = c, f + 2*c - 49 = 0. What is the remainder when z is divided by f? 38 Let h = -74 - -83. Suppose 2*g = 23 + h. Calculate the remainder when 45 is divided by g. 13 Let b be -3 + 5*(-3 - -4). Suppose -8 = u + 5*d, -12 = -u - b*u + 3*d. Calculate the remainder when 6 is divided by u. 0 Let n = 144 + -76. Let v(p) = 8 - 70*p + n*p + 3*p**2 - 2*p**2. Calculate the remainder when 30 is divided by v(0). 6 Calculate the remainder when (1326/(-15) + 2)*-5 + -4 is divided by 72. 68 Let p(s) = s**2 - s - 1. Let r(h) = h**3 + 8*h**2 + h - 4. Let a(q) = -3*p(q) + r(q). Suppose 1 = c + 4. What is the remainder when 14 is divided by a(c)? 4 Suppose -8*k = -3*k - 2*d + 447, -2*d = 3*k + 265. Let c be (-128)/(-3)*(0 - 3). Let y = k - c. What is the remainder when y is divided by 8? 7 Suppose -g = 4*f - 6 - 101, -4*g = 4. Let o(y) = -y**3 + 14*y**2 - 16*y + 11. What is the remainder when o(12) is divided by f? 26 Let k = 18 + -34. Let c = 6 - k. What is the remainder when 40 is divided by c? 18 Let f(p) = -4*p + 42. Suppose 3*i + 408 = 5*h, 0*h - 404 = -5*h + 4*i. What is the remainder when h is divided by f(5)? 18 Suppose -3*i - 5*c + 3 = -3, -c = -2*i + 4. Let s(y) = 10*y**2 + 5*y - 6. Calculate the remainder when s(i) is divided by 15. 14 Let w(q) = -q**2 + 14*q + 27. Let r(z) = z**2 - 14*z - 27. Let d(u) = 4*r(u) + 5*w(u). Calculate the remainder when d(13) is divided by (1/2)/(2/56). 12 Let n be (-188)/(-2) - (-8 - (-15)/3). Suppose -92*k = -n*k + 25. What is the remainder when 9/1 - (0 - 2) is divided by k? 1 Suppose -3*n - 21*z = -17*z - 149, -2*n = -5*z - 84. Suppose 20 = 3*c + 5*k, 12 = 5*c - 2*k - 11. Calculate the remainder when n is divided by c. 2 Suppose 2*q - 12 = -3*b + 2*b, -q = -4*b + 12. Calculate the remainder when (2/q)/((-1)/(-158)) is divided by 20. 19 Suppose 4*j - 335 = -5*s, 15*s - 14*s = 2*j + 67. Let x(k) = -k**3 - k**2 + k + 23. What is the remainder when s is divided by x(0)? 21 Suppose 3*m + 0*m = 147. Let u = -21 + m. Let a(v) = -v - 11. Calculate the remainder when u is divided by a(-21). 8 Suppose -3*r = -6*r + 24. Suppose 2*m - r - 14 = 0. Suppose 0 = -3*i - 0*i + 96. What is the remainder when i is divided by m? 10 Calculate the remainder when 349 is divided by (24/10)/(15/100). 13 Suppose s + 3*x = -2*x + 360, -4*x = -4*s + 1368. Suppose s + 573 = 6*z. What is the remainder when z is divided by 39? 36 Let s(m) = 9*m - 271. What is the remainder when 207 is divided by s(34)? 32 Let x(b) = -90*b - 110. Calculate the remainder when x(-3) is divided by 49. 13 Let f(a) = -8*a + 10. Let d be f(4). Suppose 160 = 4*t + 4*b, 7*t = 2*t - 3*b + 208. Let c = t + d. Calculate the remainder when c is divided by 8. 6 Suppose 3493 = 9*o - 2969. Calculate the remainder when o is divided by 60. 58 Suppose 0 = 5*a - 5*c - 30, 2*a + 2*c - 7*c = 24. Suppose -a*y + 29 = -11. What is the remainder when 108 is divided by (-4 - -4) + 2 + y? 20 Let s be (3 + 21/(-6))*-32. What is the remainder when 37 is divided by (-2 + s)/(-1 + 3 - 1)? 9 Suppose 1511*i - 40 = 1507*i. Calculate the remainder when 679 is divided by i. 9 Let c = -266 - -306. What is the remainder when 196 is divided by c? 36 Suppose -z + 16 = -14. Let l = z + -67. Let i = 56 + l. Calculate the remainder when 54 is divided by i. 16 Suppose -2*t + 5*i = -94 - 414, 2*i + 514 = 2*t. Let j = -141 + t. What is the remainder when j is divided by 31? 25 Let m = 706 - 359. What is the remainder when m is divided by 50? 47 Let z(i) = -i**3 - 8*i**2 - 12*i - 16. Let m be z(-7). Calculate the remainder when 56 is divided by (1 + 0 + m)*1/1. 16 Let m(f) = f**3 - 4*f**2 - 7*f - 5. Let j be m(6). Let k = -18 + j. Suppose 168 = 9*v - 57. What is the remainder when v is divided by k? 4 Let k = -9 + 19. Let n = 97 + -92. Let b(m) = -m**3 + 5*m**2 + 5. What is the remainder when k is divided by b(n)? 0 Let p be -3*((-4)/(-3) + 0). Let l(q) = -5*q. Let m be l(p). Calculate the remainder when ((-106)/(-5))/(8/m) is divided by 18. 17 Let j = 0 + 17. What is the remainder when 64 is divided by j? 13 Let m be 1 + 6/(-8) + 1703/(-524). Let u = 2 - 0. What is the remainder when 2 + m - u*-31 is divided by 16? 13 Let r = -17 + 29. Suppose 0 = 4*v - 8*v. Suppose 2*d + 0*d + 176 = 4*u, v = -2*u - d + 96. Calculate the remainder when u is divided by r. 10 Let f(k) = -k**3 + 3*k**2 + 4*k + 4. Let h = -1355 - -1372. What is the remainder when f(-3) is divided by h? 12 Suppose -27 - 33 = -n. Calculate the remainder when n is divided by 17. 9 Let h(u) = 3*u - 4. Let i be h(3). Suppose 3*w = -x - i + 24, -5*w = 2*x - 35. Calculate the remainder when 36 is divided by x. 6 Suppose 3*b + 1435 = 1621. Calculate the remainder when 185 is divided by b. 61 Suppose 0 = 2*p - 3*w - 82, 0 = -3*p + w + 2*w + 129. What is the remainder when 97 is divided by p? 3 Calculate the remainder when -71*(3 - 4)*(1 + 3) is divided by 16. 12 Let y = 1149 + -1028. Calculate the remainder when y is divided by 30. 1 Suppose -2*w = 2*p - 8, -2*p + 0 + 10 = 0. What is the remainder when 37/(6/3 + w) is divided by 21? 16 Suppose 35*s - 208 = 22*s. What is the remainder when 29 is divided by s? 13 Let q be ((-885)/6)/((-8)/32). Suppose 2*m - 7*m = -u - q, -m - 2*u + 118 = 0. What is the remainder when m is divided by 20? 18 Suppose -z = -4*r - 60 + 10, 0 = r - 2*z + 9. Calculate the remainder when 61 is divided by 80/6*r/(260/(-24)). 13 Let j = 13 + -8. Suppose 2*h + 4*i - 63 = 45, j*i = 10. Suppose -3*s + 2*x = s - 70, 5*s + 2*x - 83 = 0. Calculate the remainder when h is divided by s. 16 Suppose 44 = -3*g - 2*v + 98, 0 = -4*v. Calculate the remainder when g is divided by 3. 0 Let n(a) = 5*a - 20. Let v be n(13). Let x = -41 + v. Calculate the remainder when 20 is divided by x. 0 Let o be (322/42)/(-2*1/6). Let i = 2 - o. Calculate the remainder when 96 is divided by i. 21 Suppose -3*c - 30*l = -31*l - 82, l - 134 = -5*c. What is the remainder when 143 is divided by c? 8 What is the remainder when (-293)/(((-14)/(-84))/((-1)/6)) is divided by 21? 20 Let g be 14 - (2 - (3 - 4)). Suppose 14*a - g = 13*a. What is the remainder when 41 is divided by a? 8 Let m(o) = o**3 - 10*o**2 + 22*o + 12. Calculate the remainder when 297 is divided by m(8). 57 Suppose 58 - 409 = -x. What is the remainder when (2/3)/(9/x) is divided by 14? 12 Suppose b + 55 = 5*y, 26 + 23 = 2*y + 5*b. Let l = -709 + 780. What is the remainder when l is divided by y? 11 Suppose s = -2*p + 6*p - 63, 2*s = -p + 18. Suppose -a = 3*u - 3, 5*u - 4*a - 6 - p = 0. Calculate the remainder when 4/10 + (-26)/(-10) is divided by u. 1 Let s = 82 - 77. Suppose -4*m + 19 = 5*d - 47, 4*d + s*m - 51 = 0. Calculate the remainder when 23 is divided by d. 9 Let m = -52 - -55. Suppose -5*z - 2 = -2*q, -2*q + m*z + 2 = -4. What is the remainder when 119 is divided by q? 5 Let z(n) = 6*n + 10. Calculate the remainder when 56 is divided by z(2). 12 Suppose 47 = -4*p + 135. Suppose -5*h = 0, -88 = -2*n - 4*h + 3*h. Suppose -4*x - 4*o = -0*o - n, p = 2*x - o. What is the remainder when 41 is divided by x? 8 Let n be -4 + 3 + (-4)/(-1). Let z be 0*2/(-6)*n. Suppose 38 = m - z*m. Calculate the remainder when m is divided by 8
{ "pile_set_name": "DM Mathematics" }
z - 4*z = 0. Solve 0*f - h*f - 12 = z, x = -w + 2*f + 8 for w. 2 Suppose -7 + 25 = 6*q. Solve -2*u + o = 0, q*o + 0 = 2*u + 4 for u. 1 Let a be (-46)/(-10) + (1 - 3/5). Solve 0 = -2*q + q + a*o + 12, -5*q - 21 = 2*o for q. -3 Suppose -9 = -2*s + 3*p, 4*s + 0*s - 5*p = 13. Let n be (-1 + -5)/s + 1. Solve -5*k - 12 = 2*l, 3*k - n*l + 2 + 22 = 0 for k. -4 Suppose 4 + 12 = 2*f. Suppose -4*a = -20 - f. Solve 4*h - 6*w + 3*w = -8, -w = 3*h - a for h. 1 Suppose u + b - 1 = -0, -u - 2*b = 3. Suppose -3*s = -7 - u. Suppose i = -3*i - s*a + 4, -2*i = 3*a. Solve 2*c = -p - i - 4, -c - 2 = p for p. 3 Let v(h) = h**2 - 3*h - 5. Let g be v(5). Suppose 0*l = -g*l + 25. Solve t = l*u - 16, 5*u - 5*t + 2*t = 18 for u. 3 Let y(k) = -k**3 - 12*k**2 - 19*k + 13. Let c be y(-10). Solve h - 5 = -i + c*i, -5*h = -5*i - 10 for h. -1 Suppose 2*d = 3*d. Suppose d = n - 3*v - 1, 3*v - 3 = -3*n. Solve 4*p + 5*q = -n + 5, 4*p = q - 20 for p. -4 Suppose -55 = -5*y + 5*s - 0*s, s + 20 = 2*y. Suppose -19*a - 229 = -305. Solve 5*m - 4*g = -9 - y, -a*m + 3*g = 14 for m. -2 Let k be (-7)/2*100/(-35). Suppose 0 = 2*z - 5*h - 6, -5*z + 10*z + h = 15. Solve -p + 22 = -5*o, 2*p + 2*o + k = z*p for p. 2 Let b be 62 - (-2)/(-4)*-2. Let t be (-6)/(-4) + b/18. Solve 3*f - 12 = 2*f - t*q, 0 = 2*f - q - 2 for f. 2 Let r be (-4)/6*(-60)/8. Let z(b) = 2*b**2 - 7*b + 5. Let j be z(5). Suppose -j = r*d, 3*v = -4*d - d - 2. Solve -2*c = -3*u - 9, c + c + 2*u + v = 0 for c. 0 Let t = -3 + 3. Let j = 3 + t. Suppose -j*o - 4 = 2*l, -3*l + 5*l - o = 12. Solve a - 2*s = 3*a - 10, -l*s = -a - 10 for a. 2 Let a(d) be the second derivative of -d**4/12 - 3*d**3/2 + 2*d**2 - 4*d. Let x be a(-9). Solve -4 = x*k - 3*r, -4*r = -2*k - 2*k for k. -4 Suppose 5*i + 3*o + 18 = -25, 4*o - 5 = -i. Let u = 23 + i. Solve 6 - 14 = -2*w, -2*d + u = 4*w for d. -2 Let c be 0/((-1 - 1)*-1). Solve c = 2*k - 5*s - 9, -3*k + 2*k = -5*s - 12 for k. -3 Let l be (4 + -1)*(-1)/(-1). Solve -4*b - 4*k + 4 = 0, 0 = 3*b - 5*k - 8 - l for b. 2 Let u(x) be the first derivative of -x**4/4 + 2*x**3/3 + 2*x**2 - 2*x - 1. Let k be u(3). Let c = -10 + 13. Solve 3*q - 4 = 4*y, -c = 4*y + k for q. 0 Suppose -2*y + 0*w - 4*w = -2, 3*w + 6 = y. Let j(h) = -2*h**2 - 2*h + 3. Let l be j(-3). Let c be 1/y - (-3)/l. Solve 2*v = -4*z + 8, 0 = z - c - 3 for v. -2 Suppose 4 = -k + 2. Let m be (k/(-1))/(-2)*-3. Solve -5*w = -m*s + 6, s + s - 4 = 5*w for w. 0 Let c(k) = -k + 16. Let i be c(0). Suppose 4 = -j + i. Solve 4*h + 8 = -4*u - 0*u, 0 = -4*h - 5*u - j for h. 2 Let d = -7 + 12. Suppose -d*k = -k - 16. Solve -a - k*s - 6 = -3*a, -5*a - 5*s = -30 for a. 5 Suppose 0 = -3*f + 2*n + 34, 0*f - n - 38 = -3*f. Solve -r + 4*x = -f, -2*r - x - 16 = 2*x for r. -2 Let o = -1 - -2. Suppose 0 = 4*b - 6*b + 6. Suppose b*a = o + 5. Solve 3*x - 8 = 3*v + 5*x, -a*v - 5*x - 9 = 0 for v. -2 Let f be 2 - 1/(1/(-5)). Let i = f + 2. Solve i = 5*p - 3*z, p + 0 = 3*z - 3 for p. 3 Let r be (-12)/9*(-3)/2. Let m be (2 + r/(-1))*1. Solve 3*f - 7*f = i + 5, 3*i - 3*f + 15 = m for i. -5 Suppose -z - y = -2*z, 3*z - 20 = -2*y. Solve 2*j - 8 = 0, -z = 2*b + 2*j - 16 for b. 2 Let s = -30 - -50. Suppose s = g + 4*g. Let a(y) = 2*y - 4. Let m be a(g). Solve m*z - z = -15, z - 11 = -4*k for k. 4 Let v(a) = a**3 - 12*a**2 + 12*a - 11. Let l = -7 - -5. Let y = 9 - l. Let h be v(y). Solve -c = -h*c + x + 1, -c + 4*x + 9 = 0 for c. 1 Let i(w) = w**3 - w + 2. Let j be i(2). Solve 4*q - 4*c = 8, 0 = 3*q - c - 0*c - j for q. 3 Let p = -25 + 28. Solve z = -c - 3*c - 21, 23 = -2*c - p*z for c. -4 Let j be (-1)/(((-8)/2)/20). Suppose -9 = -3*w - 2*q - 0, 4*w = -j*q + 5. Solve w*k = 5*x - 15, 3*x = x + 5*k for x. 5 Let j(z) = 3*z + 0*z + 5*z - 4*z - 22. Let p be j(11). Solve -4*c + p = -2*f, 0 = 5*f + c - 0*c for f. -1 Let s be (-10)/(-15) - (-4)/(-6). Let c be s/1 - 2 - 16. Let f = c - -32. Solve -3*i + 14 = z, 2*i + 4*z - f = z for i. 4 Let i be 2 - (-2 - -2) - 0. Let w(v) be the second derivative of v**3/6 + v. Let p be w(i). Solve -3 = p*t + 1, -h - 5*t = 13 for h. -3 Let h = 5 - 2. Suppose -2*w + 5*k = -3*w + 23, 0 = 5*w + k - 43. Let v = w + -8. Solve 0 = -h*b - a + 3, -2*b + 3*a = -2 - v for b. 1 Let x(q) = -2*q**2 + 16*q - 10. Let m be x(7). Solve 0 = -i + 2*c - m, -3*i + 15 = 3*c for i. 2 Let a = -15 - -11. Let d = a + 5. Solve x = -3*b - 9 + d, -2*x = -2 for b. -3 Suppose u + 5 = -7*b + 2*b, -5*u - 25 = 4*b. Suppose b = -5*s + 18 - 3. Suppose 20 = 2*n + s*n. Solve -3*d + 5 = 2*z, -3*d - 5*z = -n*d - 4 for d. 1 Suppose 0*a + 3*a - 12 = 0. Suppose -t - a + 11 = 0. Solve -4*l = 3*w + 16, -t + 3 = w + l for w. 0 Let o(r) = -16*r. Let f be o(4). Let t be f/(-11) - 8/(-44). Suppose 4*i + 6 = t*i. Solve u = -3*a + 2*a - 5, 20 = i*u - 4*a for u. 0 Suppose 0 = -6*f + 4*f + 10. Suppose 2*k - k - f = 0. Solve -4*y = k*h, 4*y - 13 - 11 = h for y. 5 Let j(z) = -z**2 + 8*z + 3. Let n = 14 + -6. Let a be j(n). Solve 2*l + l - 4*v = 2, -3*l = -a*v - 3 for l. 2 Let f = 2 + 3. Let t be 47/4 - 7/(-28). Solve -f = -5*j - 2*r, 2*j - 3*r + r = -t for j. -1 Let n(m) = -m**2 - 9*m - 7. Let f be n(-8). Let g be f/3 - 708/(-36). Solve -10 = a - u + 4*u, -4*a - 2*u = g for a. -4 Let u(d) be the first derivative of d**4/4 - d**3/3 + 4*d - 4. Let b be u(3). Solve -2*s - 5*w + b + 2 = 0, s = w - 2 for s. 2 Let d(v) be the first derivative of v**4/4 - 5*v**3/3 + v**2 - 6*v + 4. Let r be d(5). Solve 4*z - 11 = 3*z - 3*o, r*o = 2*z + 18 for z. -1 Let n be 10*(1 + (-6)/(-2)). Solve -3*y + 19 = -0*i - i, -4*y + 5*i + n = 0 for y. 5 Suppose r = -3*q - q + 3, 3*r + q = 42. Let u be (-5)/(r/6) + -9. Let i(h) = h + 13. Let j be i(u). Solve -14 = -3*l - 0*t - t, -j*t = -4*l + 2 for l. 3 Suppose -3*y = -1 - 11. Let j = 13 + -8. Suppose -o - 3*o = -j*t, -2*t = 0. Solve o = 5*m - 4*w + 17, -m - y = -0*m - w for m. -1 Let s(u) = u**2 - 3*u + 1. Let w be s(3). Suppose -4*i = -z - 5 + w, i - 1 = 3*z. Let h be 6/1 + i - -1. Solve y + 1 = 2*n, 3*y + 4*n - h = -n for y. 1 Let h(f) = 5*f + 10*f**2 - 3*f**2 - 3*f - 1. Let u be h(1). Solve -u = -2*l, 6*v + 28 = 2*v + 4*l for v. -3 Suppose -z + 2 = -2. Suppose -s - z = -2. Let b(i) = -2*i**3 - 2*i**2 + 2. Let j be b(s). Solve -u - 6 = -k, -4*u - j = -k + 11 for k. 1 Let s = -49 + 102. Suppose -73 = -5*f + 3*g - g, 5*f + 3*g = s. Solve f = 3*l - 5*i - 11, 18 = 4*l - 2*i for l. 3 Let i = -14 + 14. Solve h + 0*h = 3*o + 10, 2*h - 5*o - 18 = i for h. 4 Let r(u) = -u**2 + 4*u + 8. Let q be r(5). Solve 4*d = 4*g - 1 - q, -2*d + g + 1 = 0 for d. 2 Suppose -3*y + 21 = 4*s, 3*y - 21 + 3 = -3*s. Solve 5*c - y = -4*b, -5*b + 3*c = 12 + 12 for b. -3 Suppose 4*s - w + 4*w = 18, 2*s - 2*w - 2 = 0. Suppose 2*i - 5*t - 14 = 4, -i + 24 = 5*t. Let c = i + -8. Solve 5*g + s*b + b + c = 0, 2*g - b - 8 = 0 for g. 2 Let o = 7 + -5. Suppose 0 = -2*q - 3*w + 1, -1 = q - 0*q + o*w. Let b be -3 + 1 + (3 - 1). Solve 5*t + q*r + 10 = 0, b = -5*t + 4*t - 3*r for t. -3 Let h(g) = g + 8. Let u be h(-4). Solve 5*j - u = m, -4 = 5*j - 0*j + m for j. 0 Let p = 36 - 16. Suppose 0*m = -2*m + p. Suppose -5*v = -10, -5*c + 6 = -2*v - m. Solve -5*f + 5 = -5*h, -c*h - 3 = -7*f + 2*f for h. -2 Let z(r) = r**2 - 4*r - 1. Let p be z(4). Let q be -3 + (p - -7 - 1). Solve -2*b + 2*n - 18 = 0, q*b + 34 = 5*n + 1 for b. -4 Suppose 0*h + h - 3 = 0, 15 = 2*t + 3*h. Let o = 21 - -23. Suppose m - 3*k = k + 16, 4*m - o = -4*k. Solve -w = -t*d + m, -d + 2*d = 5*w + 18 for d. 3 Let k = 20 + 1. Let r = -15 + k. Suppose -3*i = -12 + 3. Solve -i*u = 3*q + 6, r*u - q + 16 = u for u. -3 Let n = -24 + 29. Solve w - n*m = -3*w + 15, 3*m = -w + 8 for w. 5 Suppose -c - 4*c = -10. Solve -5*p - 9 = -3*m, c*p + 15 = 2*m + 3*m for m. 3 Let f be ((-38)/5)/(4/(-20)). Suppose -3*i = f - 128. Suppose 0 = 4*n + n - i. Solve -n*o + 28 = -o + z, -3*o - 5*z + 30 = 0 for o. 5 Let w(x) = x**2 - 4*x - 8. Let a be w(6). Solve k - 4*k + 15 = 0, 3*k - 27 = a*g for g. -3 Suppose 5*b = -4*x + 28, -x + 2*b - 6 = -26. Solve -2*h + 4*c - x = 0, 4*c - 16 = h - 0*h for h. 4 Let j = -7 - -12. Solve -2*i + 25 = j*l, 2*i + 3*l = -2*i + 29 for i. 5 Suppose -2*x + 4 = -4*b, 3 = -x + 5*b + 5. Solve 0 = -0*u - x*u - 2*h + 18, 0 = 3*u + h - 19 for u. 5 Suppose 10 = 2*h + 2*h - 2*k, -3*h - 5*k + 14 = 0. Let o = -12 - -12. Solve 3*m - 5*f - 2 = 3, -h*m - 2*f + 19 = o for
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
157a6a9 + 4? 157a6b0 In base 16, what is -c + -114dfa? -114e06 In base 16, what is f95 + a081? b016 In base 2, what is 1001110001001100001100011 + 1000? 1001110001001100001101011 In base 15, what is -1b7 - 734? -8eb In base 13, what is 10 - 1400921c? -1400920c In base 4, what is -200300133033 + -10? -200300133103 In base 11, what is 77359139a + 3? 7735913a2 In base 14, what is 1 - 6c55744? -6c55743 In base 16, what is 187dcb9 - 5? 187dcb4 In base 14, what is -3 - -177ba6b? 177ba68 In base 13, what is 1400 - -651? 1a51 In base 16, what is 628e51 + -2? 628e4f In base 5, what is -111212011303 - -14? -111212011234 In base 10, what is 9723 - -7318? 17041 In base 16, what is 11c9b - fd? 11b9e In base 14, what is 3 - 92920a? -929207 In base 15, what is -9ce - -48340? 47861 In base 3, what is 1002212010022 + 0? 1002212010022 In base 13, what is -c8 - -366a73? 366978 In base 13, what is -55 - -18246? 181c1 In base 14, what is 3dc - 134707? -134309 In base 13, what is -a4 + 13792? 136bb In base 2, what is -1000100000001 - -111101011? -111100010110 In base 13, what is -18 - b85175? -b85190 In base 16, what is -1cc6 - -2860? b9a In base 8, what is -2 - -60011111? 60011107 In base 8, what is -331731670 - 6? -331731676 In base 4, what is 211323132 - -33322? 212023120 In base 10, what is -2983 + -713? -3696 In base 2, what is 10 + -10101110110110011000? -10101110110110010110 In base 2, what is 10011010111011011010001000 + 11000? 10011010111011011010100000 In base 3, what is 210222002102220 - -10? 210222002110000 In base 14, what is 6ab22 + -97? 6aa69 In base 16, what is -bf3 + -97dc? -a3cf In base 6, what is 2505 + -23222021? -23215112 In base 15, what is 38 - -77ed? 7836 In base 14, what is -35 - -aba10? ab9b9 In base 10, what is 26363718 + 13? 26363731 In base 6, what is 2305 + -25112? -22403 In base 7, what is -5 + 130035523? 130035515 In base 9, what is 42732362 - 2? 42732360 In base 6, what is -3012504055 - -11? -3012504044 In base 16, what is -b0 + 4a3? 3f3 In base 5, what is -1004 - 10000201142? -10000202201 In base 14, what is -12 + 7d81248? 7d81236 In base 5, what is -4033140 - -4012? -4024123 In base 3, what is -10211 - -10000200112002? 10000200101021 In base 12, what is 6a18ba8 + -7? 6a18ba1 In base 13, what is -1 - 9b1b907? -9b1b908 In base 2, what is -1110010 + 110000010011001? 110000000100111 In base 8, what is -101 + -2522264? -2522365 In base 3, what is -10122 - 11010201111? -11010212010 In base 15, what is 1db9ed - -126? 1dbb24 In base 15, what is -677aa2c + 5? -677aa27 In base 15, what is 23c7a + -29c? 239cd In base 6, what is -5335240131 + 4? -5335240123 In base 16, what is -6a04d - d7? -6a124 In base 16, what is 240e93 + 12? 240ea5 In base 13, what is -355a + -994? -4221 In base 15, what is -1900d - 14b3? -1a4c1 In base 2, what is 10 + 111100011100000001010? 111100011100000001100 In base 7, what is -1456 - 34466? -36255 In base 14, what is 4 + 1d92019? 1d9201d In base 12, what is 28105a - -75? 281113 In base 7, what is -36010 + 6036? -26641 In base 11, what is 0 + 1333602? 1333602 In base 10, what is 193443464 + -3? 193443461 In base 7, what is 436561 - -235? 440126 In base 8, what is -2 - 216074132? -216074134 In base 13, what is 2080c17 - 8? 2080c0c In base 6, what is 24511455013 + -1? 24511455012 In base 12, what is -b - -10a4120? 10a4111 In base 14, what is -21dc82d + 5? -21dc828 In base 11, what is 3 + 6217195? 6217198 In base 9, what is -177573042 + -1? -177573043 In base 14, what is 54315c4 - 4? 54315c0 In base 12, what is -195 - -724ba? 72325 In base 4, what is 23123 - 10003331? -3320202 In base 7, what is 0 - -46433603? 46433603 In base 6, what is 15315133410 - -5? 15315133415 In base 16, what is -4 - 7506f? -75073 In base 4, what is -21 - -322232203? 322232122 In base 13, what is 1 + -14446987? -14446986 In base 7, what is -4 - -13053513? 13053506 In base 11, what is -2052542 + -72? -2052604 In base 4, what is 10001 + -311212231? -311202230 In base 2, what is 1011001100111000001111 + 10001111? 1011001100111010011110 In base 2, what is -110000011101110111 - 1101? -110000011110000100 In base 13, what is -12 + -43715b1? -43715c3 In base 13, what is 9 + -4c03b6? -4c03aa In base 11, what is 30a5a20 - -4? 30a5a24 In base 5, what is 301044223 - -1? 301044224 In base 15, what is -cee7e - 1? -cee80 In base 15, what is 3 - -16d825? 16d828 In base 6, what is -103113 + 1353? -101320 In base 10, what is -13 + 1006511? 1006498 In base 2, what is -100100001101101010001111 + 101? -100100001101101010001010 In base 4, what is 20 + -2101101202213? -2101101202133 In base 13, what is -b11 - -876a? 7959 In base 14, what is -3698a + 1d04? -34a86 In base 14, what is 127a61a - 3? 127a617 In base 14, what is -61 - -71bc5b? 71bbda In base 15, what is b488 - e1? b397 In base 2, what is -111011101001101110 + -111011? -111011101010101001 In base 3, what is -11 + -10212220221101? -10212220221112 In base 6, what is 22051140514 + 0? 22051140514 In base 7, what is -64164 - 3004? -100201 In base 14, what is -1 - -714441? 714440 In base 7, what is 101 + 1262015? 1262116 In base 11, what is -1593 - -17710? 16128 In base 5, what is -4 - -134000303123? 134000303114 In base 12, what is -a032 - -194? -9a5a In base 16, what is -8df86b - 2? -8df86d In base 12, what is 15227211 - 4? 15227209 In base 14, what is -1 + -1098431a? -1098431b In base 7, what is -1412 - 11234216? -11235631 In base 13, what is -2 + -cc66524? -cc66526 In base 15, what is 3 + -127d59? -127d56 In base 12, what is 4758 + 1171? 5909 In base 6, what is 125025 - 115442? 5143 In base 5, what is -14 - -30210311? 30210242 In base 7, what is 3025305 + -1265? 3024010 In base 15, what is -7b6b93 - 1? -7b6b94 In base 3, what is -122010001211101100 - 11? -122010001211101111 In base 11, what is 58085a + -183? 580687 In base 12, what is -141 - -394a62? 394921 In base 15, what is 8e4d8 - -30? 8e518 In base 12, what is -10404 - aa6? -112aa In base 14, what is -1d + 708896? 708877 In base 7, what is -340 - -1014426? 1014056 In base 11, what is -2 + 3404685? 3404683 In base 5, what is 3021241 - -12420? 3034211 In base 11, what is 1497 - 73059? -71672 In base 5, what is 104114 - 1102144? -443030 In base 9, what is -48 - -11640477? 11640428 In base 3, what is -12020212022 - 202? -12020220001 In base 16, what is 69 + e60a? e673 In base 9, what is -746 - -13015? 12158 In base 13, what is 5 + 4ba11? 4ba16 In base 7, what is -251 + 345344? 345063 In base 15, what is 160331 + -3? 16032d In base 9, what is 4 + -43000451? -43000446 In base 10, what is -247848833 + -2? -247848835 In base 2, what is 10011110111 - -110011011111? 1000111010110 In base 9, what is 2422333 + 135? 2422468 In base 6, what is -1020 + -2353212? -2354232 In base 2, what is -10011110011 - 10010001010000101001? -10010001100100011100 In base 11, what is -487001 + -154? -487155 In base 10, what is 80751893 - 9? 80751884 In base 10, what is 486 + -2166? -1680 In base 9, what is 0 - -47083254? 47083254 In base 9, what is 1545112 - -383? 1545505 In base 3, what is 12201221 + -1220011201? -1200102210 In base 4, what is -2100330 + 10011? -2030313 In base 13, what is -b72 - -30164? 2c2c2 In base 11, what is -a8278 - -1? -a8277 In base 16, what is ee18ec7 + 0? ee18ec7 In base 11, what is -3215033 - -2? -3215031 In base 4, what is -11101020201 - 13? -11101020220 In base 15, what is -2579 - 52b5? -783e In base 15, what is -1e + 49e815? 49e7e6 In base 16, what is -7 - 3570e3? -3570ea In base 3, what is -1 - -112210221012012? 112210221012011 In base 12, what is a055793 + 5? a055798 In base 4, what is -21322121120001 + 10? -21322121113331 In base 8, what is -421760623 - -10? -421760613 In base 2, what is -100 - 11011110111111001011100? -11011110111111001100000 In base 13, what is b2 + -c29c5? -c2913 In base 9, what is 1048 + 6765? 7824 In base 9, what is -468 - -37011? 36432 In base 5, what is 13140 + -4133421? -4120231 In base 5, what is 10 + 404443041? 404443101 In base 13, what is -1 - -5b17366? 5b17365 In base 10, what is -62810337 - -3? -62810334 In base 9, what is 0 + 5634433? 5634433 In base 15, what is 7194 - 2d5? 6dae In base 11, what is 0 + -3023a47? -3023a47 In base 8, what is -2355306 + -64? -2355372 In base 4, what is -113223111223023 + 3? -1132231112
{ "pile_set_name": "DM Mathematics" }
and 1 o when two letters picked without replacement from fodddfoddfdfvdddof? 1/51 Two letters picked without replacement from {b: 2, w: 1, p: 1, l: 5}. What is prob of picking 1 b and 1 p? 1/18 Two letters picked without replacement from {e: 2, d: 5, u: 3}. What is prob of picking 1 u and 1 d? 1/3 Two letters picked without replacement from shw. What is prob of picking 1 h and 1 w? 1/3 Two letters picked without replacement from {b: 2, x: 2, s: 1, y: 1}. What is prob of picking 2 x? 1/15 What is prob of picking 2 r and 1 y when three letters picked without replacement from {r: 2, o: 1, a: 2, f: 1, y: 4}? 1/30 What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 14, w: 1}? 2/15 Calculate prob of picking 1 h, 2 u, and 1 j when four letters picked without replacement from juuuuuujhuuujuuu. 99/910 Two letters picked without replacement from puucjgx. Give prob of picking 1 c and 1 j. 1/21 What is prob of picking 4 i when four letters picked without replacement from {i: 4, s: 10}? 1/1001 Three letters picked without replacement from {k: 1, r: 1, a: 6, f: 1, g: 4}. What is prob of picking 1 f, 1 k, and 1 r? 1/286 What is prob of picking 4 l when four letters picked without replacement from lllvvvvvlvvvvl? 5/1001 What is prob of picking 1 n and 1 l when two letters picked without replacement from {r: 4, g: 2, l: 6, n: 3}? 6/35 Two letters picked without replacement from isicycaiwiyy. What is prob of picking 1 a and 1 w? 1/66 Calculate prob of picking 2 t, 1 e, and 1 p when four letters picked without replacement from {v: 2, t: 3, p: 10, e: 1}. 3/182 What is prob of picking 4 g when four letters picked without replacement from ggggggg? 1 Calculate prob of picking 2 n when two letters picked without replacement from npn. 1/3 Two letters picked without replacement from {n: 1, a: 1, f: 2, u: 2, p: 1, i: 2}. What is prob of picking 1 a and 1 u? 1/18 What is prob of picking 1 j, 2 u, and 1 g when four letters picked without replacement from gjluuuuuuugju? 112/715 Calculate prob of picking 2 k when two letters picked without replacement from {k: 9, m: 2, q: 2}. 6/13 Three letters picked without replacement from {o: 6, c: 6}. What is prob of picking 2 c and 1 o? 9/22 Calculate prob of picking 3 m and 1 n when four letters picked without replacement from mnnnnmnnnmnn. 1/55 Calculate prob of picking 1 c, 1 l, and 1 f when three letters picked without replacement from gflllclclclfgfll. 9/70 Three letters picked without replacement from {x: 9, h: 2, d: 6}. What is prob of picking 3 d? 1/34 Three letters picked without replacement from {h: 3, q: 4}. Give prob of picking 2 q and 1 h. 18/35 Two letters picked without replacement from xnnkxycnxkxnxyx. Give prob of picking 1 n and 1 c. 4/105 Calculate prob of picking 1 y and 3 w when four letters picked without replacement from wcwwccwwccwwy. 7/143 What is prob of picking 1 d and 1 q when two letters picked without replacement from {d: 2, j: 2, q: 1}? 1/5 Four letters picked without replacement from yyyyyyy. What is prob of picking 4 y? 1 Calculate prob of picking 2 u and 2 z when four letters picked without replacement from ruuuszzzruzzurzru. 45/476 What is prob of picking 1 e and 1 g when two letters picked without replacement from {g: 2, j: 4, u: 3, e: 4, i: 1, t: 1}? 8/105 Four letters picked without replacement from {f: 2, a: 5, s: 7}. Give prob of picking 3 s and 1 f. 10/143 What is prob of picking 1 r and 2 g when three letters picked without replacement from irggr? 1/5 Calculate prob of picking 3 s when three letters picked without replacement from {s: 5, x: 14}. 10/969 Two letters picked without replacement from {y: 3, k: 2}. What is prob of picking 2 k? 1/10 What is prob of picking 4 u when four letters picked without replacement from {g: 5, u: 9}? 18/143 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {h: 4, f: 2, q: 1, r: 1}. 1/28 Three letters picked without replacement from jktvpjphvvhkjk. What is prob of picking 3 j? 1/364 Two letters picked without replacement from grvogcvw. Give prob of picking 2 g. 1/28 Two letters picked without replacement from uucussucu. Give prob of picking 2 u. 5/18 Two letters picked without replacement from skips. Give prob of picking 2 k. 0 Four letters picked without replacement from scssssscs. What is prob of picking 3 s and 1 c? 5/9 Four letters picked without replacement from ttttitittitt. Give prob of picking 2 t and 2 i. 12/55 Three letters picked without replacement from wyzxtmxy. Give prob of picking 1 y, 1 x, and 1 t. 1/14 Three letters picked without replacement from yhabayhbiibyaao. Give prob of picking 2 y and 1 a. 12/455 Three letters picked without replacement from {t: 2, u: 1, b: 3, l: 1, s: 1, p: 3}. Give prob of picking 1 b, 1 s, and 1 p. 3/55 Calculate prob of picking 2 a when two letters picked without replacement from {b: 2, g: 1, r: 1, n: 1, v: 2, a: 1}. 0 Calculate prob of picking 1 y and 2 k when three letters picked without replacement from zkzkynzqz. 1/84 Calculate prob of picking 2 n when two letters picked without replacement from wwwwnwwwrwdrwmww. 0 What is prob of picking 2 r when two letters picked without replacement from rrrjjjrjrj? 2/9 Two letters picked without replacement from cmmcxxxxcxmcx. What is prob of picking 1 c and 1 x? 4/13 Two letters picked without replacement from kyqpd. Give prob of picking 1 y and 1 k. 1/10 What is prob of picking 2 x when two letters picked without replacement from {x: 4, e: 2, d: 2, i: 2}? 2/15 What is prob of picking 2 b and 1 i when three letters picked without replacement from {b: 6, i: 4}? 1/2 What is prob of picking 2 d and 1 p when three letters picked without replacement from {d: 4, p: 3, f: 4}? 6/55 Three letters picked without replacement from {v: 2, a: 4, i: 1, o: 2}. Give prob of picking 1 o and 2 v. 1/42 What is prob of picking 3 s when three letters picked without replacement from {b: 7, f: 2, s: 9}? 7/68 What is prob of picking 1 u, 1 e, and 1 n when three letters picked without replacement from bnbnppbeqbbbuuu? 6/455 Three letters picked without replacement from pxxooxoxpx. Give prob of picking 1 p, 1 x, and 1 o. 1/4 What is prob of picking 2 o and 2 g when four letters picked without replacement from {g: 8, o: 2}? 2/15 Three letters picked without replacement from {i: 13, l: 5}. What is prob of picking 3 i? 143/408 Calculate prob of picking 1 v, 1 x, and 2 o when four letters picked without replacement from oooooxoovvovvvxo. 18/91 Four letters picked without replacement from {m: 1, j: 2, z: 2, e: 1, h: 1, i: 1}. What is prob of picking 2 e, 1 i, and 1 h? 0 Four letters picked without replacement from nnuunnnucccu. What is prob of picking 4 c? 0 What is prob of picking 1 f, 2 j, and 1 c when four letters picked without replacement from fjfcfcfj? 4/35 Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {q: 2, n: 7, l: 3}. 3/110 Three letters picked without replacement from {w: 2, e: 9, i: 7}. What is prob of picking 1 e, 1 i, and 1 w? 21/136 What is prob of picking 1 x and 2 a when three letters picked without replacement from sssxxaaxsuspxpxj? 1/112 Calculate prob of picking 1 m, 1 s, and 1 k when three letters picked without replacement from mkkrsnmmnmnrrr. 2/91 Calculate prob of picking 1 c and 2 d when three letters picked without replacement from dcdcccc. 1/7 Two letters picked without replacement from {x: 4, d: 1, z: 8, s: 2, t: 1}. Give prob of picking 1 z and 1 s. 2/15 Four letters picked without replacement from {y: 3, r: 5}. Give prob of picking 2 y and 2 r. 3/7 What is prob of picking 1 q and 2 c when three letters picked without replacement from qvvqvqcqvcvqccqcqq? 5/51 Four letters picked without replacement from {v: 3, k: 2}. What is prob of picking 1 k and 3 v? 2/5 Two letters picked without replacement from sllsll. Give prob of picking 2 s. 1/15 Four letters picked without replacement from ddddddddbddbdbddddb. What is prob of picking 1 b and 3 d? 455/969 Three letters picked without replacement from bbbbbbbbuubbbbbubbbb. What is prob of picking 2 u and 1 b? 17/380 Four letters picked without replacement from yypypzzpyzzzpzzz. Give prob of picking 4 z. 1/26 Two lett
{ "pile_set_name": "DM Mathematics" }
*p/p**(-4)*p)/p*p))/p)))**(16/9) assuming p is positive. p**(-2752/405) Simplify ((c/(c/c**0))**2)**29*((c**1)**(-26))**31 assuming c is positive. c**(-806) Simplify (p/p**(-1/13)*p*p**(-1/29))/(p*p*p**(-27)*p*p**(-2/61)) assuming p is positive. p**(599652/22997) Simplify ((w*w**1*w)**(-16)*(w**2)**50)/(((w/(w*w*w**0*w)*w)/w)**48)**(2/3) assuming w is positive. w**116 Simplify (g/(g/(g/g**(4/13))))**(1/23)*g*g/(g/g**(-14/9))*g**(11/6) assuming g is positive. g**(7039/5382) Simplify (n/n**(1/4)*n**(-4/3))/((n*n**(-3/5))/(n*n/(n**(-6)*n)))*(n**(-2/9)*n/n**(-3/2)*n)**(3/34) assuming n is positive. n**(536/85) Simplify ((f**(-1/2))**(-46)*f/((f**8/f)/f)*f**1*f)/((f**(4/3)*f*f**(-2))/((f**(1/8)*f)/((f**(2/11)*f)/f))) assuming f is positive. f**(5441/264) Simplify u**(-8)/u**(-8)*(u*u**(-2/5)/u)**(4/17)*u**(-3/4)*u/(u/u**2)*u**(1/17)*u/(u*u**(3/7)) assuming u is positive. u**(1871/2380) Simplify (i**(-4/7)/(i*(i*i**(3/7)/i)/i*i))**29*i*i/((i**5*i)/i)*i**6*i**(-2/15)*i/(i**(2/21)/i) assuming i is positive. i**(-1863/35) Simplify (g*g*g/(g/g**37)*g*g**(5/4)/g*g)/(g/(g*g**15)*g/((g*g**5)/g*g)) assuming g is positive. g**(245/4) Simplify (((k*k*k**(3/7)/k*k)/k**(-2/13))/(k*k*k*k**(1/4)*k**(-2/5)))/((k**(4/3)*k*k*k*k**(-8)*k)/(k**6*k**2)) assuming k is positive. k**(56779/5460) Simplify (w**(-4/3)*w/(w/(w*(w**(-5)*w)/w))*((w/((w/(w*w**(-1)))/w))/w)/w*((w**(-4)/w)/w)/w)/(w**(1/28)/(w/w**(-10)))**(2/27) assuming w is positive. w**(-4733/378) Simplify (v**6*(v/(v**(-1)/v))/v*(v/v**5)/v**(2/9))/(v**(1/9)*v/(v/(v*v**5)*v))**(-4/15) assuming v is positive. v**(694/135) Simplify (k/k**(4/5))/(k/(k*k**10*k)*k)*k*(k**(5/3)/k)/k*k*k**34 assuming k is positive. k**(688/15) Simplify ((t**(9/4)*t**13)/(t**(-2)*t)**(2/99))**17 assuming t is positive. t**(102799/396) Simplify d**(1/2)*d*d**8/d*(d**2*d)**(7/9)*(d*d*d**(1/7)*d*d/(d/(d/(d/d**(-6)))))/(d**2/d*d)**(-7) assuming d is positive. d**(923/42) Simplify ((i**8/i)/(i*i*i**3*i*i*i*i))**(-5/9)*(i**4/i)/i**(1/8)*i**(-4/7)*i*i/i**9 assuming i is positive. i**(-1807/504) Simplify (r**(1/6)*r**(-1/4)*r**(-2/13)*r**(-4/7))/(r**4/r**(2/5)*r**0*r*r*r**(1/5)/r*r*r) assuming r is positive. r**(-41543/5460) Simplify (((g**(-4/3)/(g**6/g))**(3/25))**29)**(-5) assuming g is positive. g**(551/5) Simplify ((v*v**2)**(1/2)/((v*v/(v/((v*v*v/(v**(-2)*v))/v*v)))/v)**(14/3))/(v**(2/9)*v**7/v*v**0*v*v**7*v*v) assuming v is positive. v**(-601/18) Simplify ((((u*u*u**18)/u)/u*u**31)/(u**28*u**(-1/5)/u))**(-2/77) assuming u is positive. u**(-222/385) Simplify ((i*i**(4/3)*i*i**(-5/7))**5)**(-27) assuming i is positive. i**(-2475/7) Simplify ((k**(2/9)*k)/(k/(k/(k/k**(-8)))*k))**(1/23)/((k**(-1))**(-23/2)*k**5*k**3*k) assuming k is positive. k**(-8645/414) Simplify ((k*k**0)/k**(1/3))**(19/5)/((k/k**(-2/7)*k)/(k*k**(3/4)/k)*k*k**(-1)*k*k**(-2/15)) assuming k is positive. k**(11/84) Simplify (v**15*v**(7/9))/(v*v**(-10)*(v*v*v**46*v)/v*v*v) assuming v is positive. v**(-227/9) Simplify y*y/y**(-7/6)*y*y*y**(-3/2)*y**6/(y/(y*y**9*y))*(y*y/(y/(y/(y/(y*y/(y/y**(-1/4)))))*y))**16*(y**(-1/3))**(-3/17) assuming y is positive. y**(1618/51) Simplify (f**(-6)*f*f**(2/29))**(-2/13)*(f**(2/17)/f*f*f*f**(-4)/f*f)/((f*f**0)/f**(2/7)) assuming f is positive. f**(-9794/3451) Simplify ((((u/(u*u**15))/u*u)/u)/(u*u**(-2/27))*(u*u**(-2/11)*u)**33)**(-3/7) assuming u is positive. u**(-1163/63) Simplify (((r**3)**17*(r/(r**(1/12)*r))/r*r**(-2))**32)**(2/23) assuming r is positive. r**(400/3) Simplify m**(-6)/(m*m**(-8))*(m/(m/(m*m**(-1))))**(1/10)*((m**(-2/7)*m)**29)**44 assuming m is positive. m**(6387/7) Simplify (u/(u/u**0*u))**(2/53)/(u**(-7/3)/(u/((u*u**(1/14))/u)))*(u/u**(-5))/u*u*u**(-7/4)*u*u*(((u/(u*u**(-2)))/u)/u)**26 assuming u is positive. u**(42179/4452) Simplify ((((o/o**27)/o**22)**(-3))**11)**(-9/10) assuming o is positive. o**(-7128/5) Simplify ((v/(v**(1/4)/v*v)*v*v)**(4/9))**(-19)/(v**4/((v/v**(2/29))/v*v))**17 assuming v is positive. v**(-19678/261) Simplify ((y**6/y)/(((y/(y*y*(y**4/y*y*y)/y*y))/y)/y*y))**(-6)/(y**(-2/11)*y/(y*((y/y**(-1/12))/y)/y))**(-1/4) assuming y is positive. y**(-37919/528) Simplify (y**(-2/25)*y**(-11)/y)**(-44)/((y**(1/4))**(3/7)*(y**(2/5))**(19/3)) assuming y is positive. y**(1110647/2100) Simplify (b/((b/(b*b**(-2/11)))/b)*b*b/b**15)**9/(((b/b**(-15))/b*b)/(b/(b**(-10/7)*b)))**(25/2) assuming b is positive. b**(-21774/77) Simplify (q**(-5)/q**(-2/11))**33/(q**(-3)*q/(q/(q/(((q*q/((q*q**(-11))/q))/q)/q))))**(1/30) assuming q is positive. q**(-4757/30) Simplify ((g**1)**(-15/7)*(g**(-1))**(-1/26))/(g**(-6/5)*g*g**1*(g*g**(-2/5)/g*g*g*g)**(-3)) assuming g is positive. g**(891/182) Simplify ((z**(-2/3)/z)**(-11)/(z**(-1))**(-2/49))/(z/(z/z**2)*z**0*(z/(z/z**(-1/2)*z))**(15/7)) assuming z is positive. z**(5735/294) Simplify ((b**(-2/5)/(b/(b**4/b)))/(b/(b**2/b*b))**(1/3))/((b*b**(-1)*b**(-2))/(b**(-5)*b**(1/7))) assuming b is positive. b**(-97/105) Simplify (((h**(-1/10)*h*h/h**(-7))**(1/25))**(-3/11))**(-43) assuming h is positive. h**(11481/2750) Simplify (z/z**9)**(-1/28)*(z/z**(-10))**(-24) assuming z is positive. z**(-1846/7) Simplify k**(-2/31)*k**(-27)/k*k/(k**2/k)*k**(4/7)/k assuming k is positive. k**(-6183/217) Simplify ((n**(-8))**19*n**3/((n*n**(-1/10))/n))**(-1/40) assuming n is positive. n**(1489/400) Simplify ((u**(-4/5)/u)/u*u**(-1/5))**(3/22)*(u**(-1/2)*u*u)**(22/5)*u**(-4)*u*u/u**4 assuming u is positive. u**(21/110) Simplify (p**1/(p/p**(-5/6)))**39/(p**5/p*p**(-1/4)/p*(p**(1/2))**(-36)) assuming p is positive. p**(-69/4) Simplify (((q/(q*q**(-3)))/(q/q**(2/3)))/(q**7/q*q**6))/(((q*q*(q*q**(2/5)/q*q)/q*q)/q)/q**6)**(-6/5) assuming q is positive. q**(-1024/75) Simplify (c**(-2/11)*(c*c/(((c/((c/(c**(-3)/c)*c)/c))/c)/c)*c)/c)**(-29)*((c/(c*c**(2/7)/c*c))/c**(-1/7))**(-7/2) assuming c is positive. c**(-4977/22) Simplify (p*p**(-1/9)*p**0*p*((p/((p*p**(-1/9))/p))/p)/p*p*(p/((p**(6/11)/p)/p*p))/p)**34 assuming p is positive. p**(918/11) Simplify ((w*w**(-4)/w)/(w*w/(w**5/w)*w*w)*w**(-3)*w/(w**(1/9)*w))/(((w**1*w)/w)**45*(w/((w*w**7*w)/w))/w**(-1/3)) assuming w is positive. w**(-409/9) Simplify ((s*s*s/(s*s*s*s/(s*s*s*s**(-1/22)*s*s*s))*s**(-1/6))/(s**(-1/20)*s)**(14/9))**33 assuming s is positive. s**(3277/30) Simplify (r/((r*r**(-44))/r)*r*(r*r/(r*r*r**25)*r*r)/r)/(r**(-2/23)*r*r/r**15) assuming r is positive. r**(807/23) Simplify ((u**(-2/3))**44)**(-20/9)/(u**(-2)/u**(1/9))**(-1/17) assuming u is positive. u**(29863/459) Simplify (j*j**(-4)*j*j*j**(-2/11)*j)/(j**(2/15)*j/(j*j**1))*(j*j*j**(-1)*j*j**(-1))/(j**1*j*j**(2/7)) assuming j is positive. j**(-694/1155) Simplify (p**(7/5)/p*(p*(p**(1/19)*p)/p)/p*p**29*p**(-26))**(-5/2) assuming p is positive. p**(-164/19) Simplify ((m*m**(-2)/m)/(m/m**(2/5)*m)*(m*m/m**1)/m*m*m/m**6)/(m**(2/9)*m**(1/2)*(m*m**(-1))**29) assuming m is positive. m**(-749/90) Simplify ((h*h**6*h)/(h*h/h**(1/9))*(h**(-1))**(-5/2))/((h/h**6)/(h*h**2))**(2/3) assuming h is positive. h**(251/18) Simplify (((m*m*m*m*m*(m*m**6)/m*m)/m)/((m/(m**(-2/3)*m))/m))**(-5)*(m/m**4*m**(1/2))/((m/(m/(m/(m**0/m*m)*m)))/m*m**(-2/7)/m*m) assuming m is positive. m**(-2515/42) Simplify l**(-3/2)*l*l**6*(l/((l**(-2/5)*l)/l*l*l))/(l/(l*l/l**(-1/11)))*(l/(l**(-2/5)/l)*((l*l**(1/4))/l)/l*l)**(12/7) assuming l is positive. l**(8111/770) Simplify (m**(-11)/m*m*m*m**(-6/7)*(m/m**(-2/25)*m)/(m/((m*m*m**(-3/16)*m*m*m*m)/m)))**47 assuming m is positive. m**(-653347/2800) Simplify (((((c/c**(1/3))/c)/c**5)**(-25))**9)**(-31) assuming c is positive. c**(-37200) Simplify ((c/((c/c**(-1/3))/c))**(12/5))**2*(c**6/(c**(-2/33)*c))**(-8/9) assuming c is positive. c**(-1928/1485) Simplify (((t**(-6)*t)/t*t*t**(-4/7))/(t/((t*t**(1/4)*t)/t*t)*t*t**(-6)*t))/((t**(2/23)/(t/t**6))/(t**2)**12) assuming t is positive. t**(11973/644) Simplify (n/n**(-4/9)*n*(n**(-5/2)*n)/n)**(-20)/(n**(6/5)/n**(-1/7)*(n*n/n**(3/2))/((n*(n/n**(-3))/n)/n)) assuming n is positive. n**(1429/630) Simplify (u**(1/13)*u*u**(4/3)*(u*u/(u/(u*u**(2/45)))*u)/u**(-12/5))**(-2/147) assuming u is positive. u**(-1838/17199) Simplify (w**5*w)/w*(w**(-2)*w)/w*(w*w**1)/(w/(w/((w*w**1*w)/w)))*(((w**1*w*w)/w)**10)**(-6/13) assuming w is positive. w**(-81/13) Simplify (((k/((k*k/(k*k**(-7/3)))/k))/(k*k*k/(k/(k**(-4)*k))))**41)**4 assuming k is positive. k**(-164/3)
{ "pile_set_name": "DM Mathematics" }
hen three letters picked without replacement from {p: 4, g: 6}. 1/30 Three letters picked without replacement from {p: 2, r: 1, s: 2, c: 4, y: 1}. What is prob of sequence pyr? 1/360 Two letters picked without replacement from {j: 1, p: 1, b: 1, t: 2, e: 1, x: 1}. Give prob of sequence je. 1/42 Two letters picked without replacement from {q: 3, l: 5, h: 3}. Give prob of sequence qq. 3/55 What is prob of sequence hwa when three letters picked without replacement from {l: 5, w: 7, a: 1, h: 1}? 1/312 What is prob of sequence ah when two letters picked without replacement from {r: 4, a: 2, h: 1}? 1/21 Calculate prob of sequence vv when two letters picked without replacement from {r: 2, a: 6, j: 2, t: 1, v: 5, h: 1}. 5/68 Two letters picked without replacement from zzzpzttpzzzzzzt. What is prob of sequence pp? 1/105 Calculate prob of sequence tv when two letters picked without replacement from {p: 2, e: 9, b: 3, t: 3, v: 2}. 1/57 Three letters picked without replacement from {a: 6}. Give prob of sequence aaa. 1 Three letters picked without replacement from {z: 6, n: 7, o: 3, i: 1}. Give prob of sequence noz. 21/680 Four letters picked without replacement from {t: 4, g: 1, f: 1, o: 3, m: 4}. Give prob of sequence gmtm. 2/715 What is prob of sequence jgxj when four letters picked without replacement from {g: 9, x: 6, j: 2}? 9/4760 Four letters picked without replacement from {m: 2, w: 8, i: 2, o: 2}. Give prob of sequence wwwi. 4/143 Three letters picked without replacement from {p: 4, o: 15}. Give prob of sequence pop. 10/323 Two letters picked without replacement from quuuuuuuuyu. What is prob of sequence yq? 1/110 Two letters picked without replacement from {l: 3, j: 1, d: 1, w: 3, v: 6}. Give prob of sequence jv. 3/91 Two letters picked without replacement from teepw. Give prob of sequence wp. 1/20 Calculate prob of sequence jojg when four letters picked without replacement from mmloxgj. 0 Calculate prob of sequence aa when two letters picked without replacement from {d: 7, a: 12}. 22/57 Three letters picked without replacement from {i: 3, n: 11, k: 4, f: 1}. What is prob of sequence ikf? 2/969 Four letters picked without replacement from zbzzzbzbzzbb. Give prob of sequence zzbz. 35/396 Calculate prob of sequence xt when two letters picked without replacement from xtnt. 1/6 What is prob of sequence rr when two letters picked without replacement from erxjjrrrx? 1/6 Calculate prob of sequence wwll when four letters picked without replacement from wlllwlwwlwllllllll. 13/306 Two letters picked without replacement from wwwrmrwssrsw. What is prob of sequence rs? 3/44 Four letters picked without replacement from jjhhhjhjhkjjkjjjjjjj. What is prob of sequence jhkj? 13/969 Four letters picked without replacement from ttoto. Give prob of sequence ttot. 1/10 Two letters picked without replacement from pasooop. What is prob of sequence ap? 1/21 What is prob of sequence zeze when four letters picked without replacement from zezezeeeee? 1/20 Three letters picked without replacement from fvnpffpppppfq. Give prob of sequence npq. 1/286 Four letters picked without replacement from gvehzhh. Give prob of sequence hveg. 1/280 Two letters picked without replacement from {s: 11, x: 5}. Give prob of sequence xs. 11/48 Calculate prob of sequence tb when two letters picked without replacement from bbzztzbbb. 5/72 Four letters picked without replacement from jjjrjjjjrjjj. What is prob of sequence rjjj? 4/33 Calculate prob of sequence ma when two letters picked without replacement from wwmwaawwawaaaowaoma. 8/171 Two letters picked without replacement from frrfffcrccffrffcf. Give prob of sequence rc. 1/17 Two letters picked without replacement from {l: 2, d: 6, i: 2, o: 3}. Give prob of sequence ol. 1/26 Three letters picked without replacement from ttpdtttdpujttqtjtj. Give prob of sequence ptp. 1/272 Calculate prob of sequence sxf when three letters picked without replacement from qsqfxsfqsqqqieqss. 1/408 What is prob of sequence oz when two letters picked without replacement from {o: 1, n: 2, y: 1, z: 2, h: 1}? 1/21 Three letters picked without replacement from wwwvwvvwwwwvww. What is prob of sequence wvv? 5/91 Calculate prob of sequence mmmy when four letters picked without replacement from {j: 5, m: 3, y: 3}. 1/440 Calculate prob of sequence ggg when three letters picked without replacement from {j: 5, r: 1, g: 5}. 2/33 What is prob of sequence shs when three letters picked without replacement from {s: 3, g: 1, h: 3, n: 1, j: 3, w: 2}? 3/286 Three letters picked without replacement from {w: 1, s: 4, h: 1, e: 2}. Give prob of sequence sse. 1/14 Four letters picked without replacement from {n: 2, x: 2, f: 2, h: 1, s: 1, o: 1}. What is prob of sequence xhnn? 1/756 Three letters picked without replacement from {s: 3, i: 4}. Give prob of sequence sss. 1/35 Calculate prob of sequence re when two letters picked without replacement from eeeeeeereeee. 1/12 Three letters picked without replacement from {p: 1, f: 2, o: 3, t: 6}. Give prob of sequence pof. 1/220 Four letters picked without replacement from {d: 2, p: 1, j: 2, h: 2, v: 4, i: 3}. Give prob of sequence hjhj. 1/6006 Three letters picked without replacement from hxxyphyyhyxhyypxlyel. What is prob of sequence exl? 1/855 Two letters picked without replacement from nnnnnnnbbnnn. What is prob of sequence bb? 1/66 Calculate prob of sequence yy when two letters picked without replacement from ymmmyy. 1/5 Three letters picked without replacement from {w: 6, i: 2, d: 9, l: 1}. What is prob of sequence wdw? 15/272 Two letters picked without replacement from coc. What is prob of sequence cc? 1/3 What is prob of sequence hhrs when four letters picked without replacement from bjhlhjhhjsjlsr? 1/1001 Two letters picked without replacement from {m: 1, v: 3}. Give prob of sequence vm. 1/4 Four letters picked without replacement from {l: 5, r: 2, e: 3}. Give prob of sequence erle. 1/84 What is prob of sequence vv when two letters picked without replacement from {w: 3, v: 5, p: 5}? 5/39 Calculate prob of sequence ecg when three letters picked without replacement from {e: 1, o: 1, r: 3, g: 1, z: 5, c: 2}. 1/858 Three letters picked without replacement from {s: 5, h: 1, u: 4}. What is prob of sequence suh? 1/36 Calculate prob of sequence iss when three letters picked without replacement from {s: 3, i: 2}. 1/5 Four letters picked without replacement from {y: 3, g: 2, i: 3}. Give prob of sequence igyy. 3/140 Calculate prob of sequence lj when two letters picked without replacement from zlzjl. 1/10 Two letters picked without replacement from oysrosjooodoojo. What is prob of sequence yd? 1/210 Calculate prob of sequence irtr when four letters picked without replacement from {v: 1, r: 3, t: 2, i: 1}. 1/70 What is prob of sequence crcr when four letters picked without replacement from cccccrcrrcccccc? 11/455 What is prob of sequence gzg when three letters picked without replacement from iziigizggzz? 4/165 What is prob of sequence qq when two letters picked without replacement from nqqnqn? 1/5 Three letters picked without replacement from kkhkhkkhhhkhh. What is prob of sequence kkh? 35/286 Two letters picked without replacement from iqqqqnnnqn. What is prob of sequence iq? 1/18 Calculate prob of sequence svss when four letters picked without replacement from {v: 10, s: 10}. 20/323 Calculate prob of sequence guxg when four letters picked without replacement from uxxuxxyxugyxxxg. 2/1365 Calculate prob of sequence gx when two letters picked without replacement from sxxgsxx. 2/21 What is prob of sequence sgss when four letters picked without replacement from gmsxslgggmxgsg? 3/2002 Three letters picked without replacement from {j: 6}. Give prob of sequence jjj. 1 Two letters picked without replacement from {m: 7, u: 5}. Give prob of sequence um. 35/132 Calculate prob of sequence qdd when three letters picked without replacement from {o: 1, d: 3, h: 2, q: 1, s: 4}. 1/165 Two letters picked without replacement from {k: 1, v: 3, z: 5, y: 2, j: 8}. What is prob of sequence zy? 5/171 What is prob of sequence cgw when three letters picked without replacement from {g: 4, c: 6, w: 1}? 4/165 Calculate prob of sequence usu when three letters picked without
{ "pile_set_name": "DM Mathematics" }
and r. 12 Suppose 3*u + 58*u - 11*u - 1050900 = 0. What is the highest common factor of 6 and u? 6 Suppose -w = 2*a - 45, 90 = 3*w - 0*w - 3*a. Suppose 4*c - 15*c + 26950 = 0. Suppose -5*x = 5*x - c. What is the highest common divisor of w and x? 35 Let y = 150 + -146. Suppose -4*k = -3*x - 5, -2*x + y = 3*k - 4. What is the highest common factor of k and 46? 2 Let l(n) = -72*n + 4130. Let o be l(55). Calculate the highest common divisor of o and 4505. 85 Suppose -r = -p + 4103, 175*p - 160053 = 136*p + 3*r. Calculate the greatest common factor of 95 and p. 19 Suppose 0*k + 155 = 5*k. Let w(i) = -i**3 - 131*i**2 + 1866*i - 523. Let q be w(-144). Calculate the greatest common factor of q and k. 31 Let q(p) = -137*p - 1777. Let l be q(-16). What is the highest common factor of l and 996? 83 Let t = -260 - -442. Suppose -3*w = -10*w + t. What is the greatest common factor of 2 and w? 2 Suppose 4*d - 64 = 5*f - f, 2*f + 8 = 0. Suppose 2*z + d + 88 = 2*x, 4*z + 155 = 3*x. What is the greatest common divisor of x and 15? 15 Suppose -36 = -3*h - 3*i + 6*i, 3*h = -4*i + 8. Let a(l) = -l + 4. Let z be a(8). Let p = h - z. What is the highest common factor of 12 and p? 12 Let p be ((-1)/2)/((1309/2376)/(-119)). What is the highest common divisor of 5886 and p? 54 Suppose -40*c + 80 = 42*c - 66*c. Calculate the highest common factor of c and 45. 5 Let a(t) = -t**3 - 8*t**2 - 8*t. Suppose -14*y + 6*y = 56. Let o be a(y). Suppose -g - 270 = -o*g. What is the greatest common factor of 15 and g? 15 Let u = -3321 + 3334. What is the greatest common factor of 11843 and u? 13 Suppose -5*s = -5, -5*g = 4*s - 6*s + 4602. Let h = -902 - g. Suppose 5*d - 34 = 2*o, 2*o - 14 = 3*d - 6*d. What is the greatest common factor of d and h? 6 Let n be 112 + (2/1)/(-2*4/16). What is the greatest common divisor of n and 5076? 108 Let r(a) = a**2 - 92*a + 4495. Let g be r(86). Calculate the highest common factor of g and 519. 173 Let s = -8 + 8. Suppose s*v + 26 = 2*v. Let p = 741 + -689. Calculate the greatest common factor of p and v. 13 Suppose 85 = 5*z + j - 3*j, z + 4*j = 17. Suppose -l - 4*y = -36, -12*y = -z*y + 25. What is the highest common factor of 432 and l? 16 Let w(h) = -h**3 - 10*h**2 - 10*h - 5. Let r be w(-9). Let j = -15485 - -15516. What is the greatest common divisor of r and j? 1 Suppose -86*s + 22599 = -27453. What is the highest common divisor of s and 30? 6 Suppose 5*j + 1092 = 2832. Suppose -5*c - 521 = -3*u, 2*u = -0*u + 4*c + j. Calculate the highest common factor of u and 4. 4 Let l = 5308 + -5298. Calculate the highest common divisor of l and 335. 5 Let c be 9/(-15)*(-50 + 0). Suppose 0*k - 2*k = -2*z - 110, z = 5*k - 295. Let m = k - c. What is the greatest common divisor of 12 and m? 6 Let j be (-514)/5 + 5 + 84/(-20). Let r = j - -137. What is the greatest common factor of 175 and r? 35 Let i = -20 + 25. Suppose 1660 = i*m - 1610. Suppose 8*o = 298 + m. Calculate the greatest common divisor of o and 17. 17 Let o = -3025 - -4460. What is the highest common factor of o and 70? 35 Suppose s - 3*w - 56 = 0, -5*s + 548 = 4*w + 344. Calculate the greatest common factor of s and 4829. 11 Let c(z) = 1490*z - 1558. Let p be c(2). What is the greatest common factor of 6 and p? 6 Suppose 0 = -8*m + 10*m - 24. Let v be (78/(-8))/((-3)/m). What is the greatest common factor of 39 and v? 39 Let j = -2909 - -3083. What is the greatest common factor of j and 30624? 174 Suppose 0*q + 2*q - 355 = f, 3*q - 540 = 4*f. Let g be (4 + -10)*(0 + 44/(-6)). Calculate the highest common factor of q and g. 44 Let s(w) = -w - 1. Let u be s(-10). Let c be (3 + -1)*u + (-12)/(-3). Let p be 4/24*3*c. Calculate the highest common divisor of p and 55. 11 Suppose 3*m + 2*m + 96 = 2*l, 4*m - 2*l + 78 = 0. Let d(x) = -7*x - 66. Let k be d(m). What is the greatest common factor of k and 15? 15 Let d(y) = y**2 - 12*y - 122. Let l be d(-14). What is the greatest common factor of l and 1166? 22 Suppose u + 97 = 100. Suppose -v = 3*s - 283, -10*s + 9*s = -u*v - 101. Calculate the greatest common divisor of s and 19. 19 Suppose -379*g + 128*g = -45180. Calculate the highest common divisor of g and 3210. 30 Let v be 69 + (3 + 2 - (-5)/20*-8). Calculate the highest common divisor of v and 8. 8 Suppose -d = 3*f + 13842 - 37419, -f - 2*d = -7854. Calculate the greatest common divisor of f and 60. 60 Suppose 0 = 4*r - 20 - 12. Let w = -87252 - -87260. Calculate the highest common factor of r and w. 8 Suppose -5*z + 38*x - 34*x + 684 = 0, 0 = z + 3*x - 114. What is the greatest common factor of z and 528? 132 Let w be ((518/8)/(-1))/(1*(-5)/280). What is the highest common divisor of w and 42? 14 Suppose -c + 360 = j, 12*c - 9*c = 0. Suppose -7*q + j = 3*q. Calculate the highest common factor of 336 and q. 12 Suppose 73*r - 2662 = 3981. Calculate the greatest common divisor of 273 and r. 91 Let h(u) = -48*u + 312. Let s be h(-51). Calculate the highest common divisor of 36 and s. 12 Let v be (20/(-9))/((-76)/342). Calculate the highest common divisor of 860 and v. 10 Let z = 1236 + -726. Suppose g - 5*x - 14 = 156, -3*g + z = -3*x. What is the greatest common factor of 20 and g? 10 Let c be ((-684)/(-190))/(1/5). Let j = -47 + 91. Let h = 98 - j. Calculate the greatest common divisor of c and h. 18 Let k(m) = 13*m**2 - 78*m - 39. Let g be k(7). Calculate the greatest common factor of 8 and g. 4 Suppose 2*x - 4*p = 28, -5*p = -70*x + 71*x - 49. Suppose 4*u - 780 = -u. Calculate the highest common factor of u and x. 12 Suppose -2*y = -4*f - 88, -4*f = -59*y + 55*y + 184. What is the highest common factor of 3072 and y? 48 Let r be 5/(30/(-12))*14/(-2). Suppose -r*g + 500 = -4*g. What is the greatest common factor of 20 and g? 10 Suppose 8*c + 6261 = 5485. Suppose -2*x + 6*x = -424. Let i = c - x. What is the greatest common divisor of 36 and i? 9 Suppose 33*w = -4*t + 38*w + 521, 0 = 2*t + 2*w - 256. Calculate the highest common divisor of 9 and t. 3 Let g be 10 - 4/(-8)*-6. What is the greatest common factor of 1603 and g? 7 Suppose 3*l - 6*l - w + 33 = 0, -l + 21 = -3*w. Calculate the highest common factor of l and 285. 3 Let s(q) = q**2 + 12*q - 7. Let i be s(-14). What is the greatest common factor of i and 7329? 21 Let p be 0/(((-6)/(-2) - 8) + 3). Let j be (-48)/4*(p - 10/8). Suppose -3*v = j, -4*v = -b + 31 + 64. Calculate the greatest common divisor of 15 and b. 15 Let i be (-8)/54*-117 - (-2)/3. Let u = 268 - -38. What is the greatest common factor of i and u? 18 Suppose -2*u + 5*x = -231, -987*u - 543 = -991*u + x. Calculate the greatest common divisor of 1219 and u. 23 Let t = -386 + 132. Let r = t - -273. Calculate the greatest common divisor of r and 608. 19 Suppose 31*d + 1883436 = 217*d. Calculate the greatest common divisor of 664 and d. 166 Let w(z) = z**3 - 37*z**2 + 263*z + 219. Let n be w(27). What is the greatest common factor of 10910 and n? 10 Let h = -4129 - -4741. What is the greatest common factor of 738 and h? 18 Suppose 365*c = 368*c - 27. Let u(q) = -q**2 + 13*q - 6. Let z be u(c). Suppose -2*j + 543 - 63 = 0. Calculate the greatest common factor of j and z. 30 Suppose 83*t - 1428 = 80*t. What is the greatest common divisor of t and 306? 34 Suppose -101*p = -95003 - 33671. What is the greatest common divisor of 196 and p? 98 Suppose 8*h - 882 - 14 = 0. Calculate the greatest common factor of h and 294. 14 Suppose 0 = j + 454 - 157. Let l = 302 + j. Calculate the greatest common divisor of l and 20. 5 Let b(a) = 3*a - 38. Let d be b(38). What is the greatest common factor of d and 12? 4 Let a be 2/(-24)*-28*102. Suppose -a*r + 232*r + 42 = 0. Let i(g) = g**3 + 9*g**2 - 5*g + 8. Let w be i(-8). What is the greatest common divisor of w and r? 7 Suppose -1372 - 3430 = -72*u + 65*u. What is the greatest common divisor of 2450 and u? 98 Suppose 4*t - 11 - 45 = 0. Suppose 5*q + 3*h = 10*q - 120, -5*q - 2*h = -95. Calculate the greatest common factor of q and t. 7 Let x(z) = -303*z + 393. Let m be x(-21). What is the highest common divisor of 12 and m? 12 Let y(m) = -116*m - 760. Let p be y(-7). Calculate the greatest common factor of p and 3796. 52 Let f = -16498 + 16539. What is the highest common divisor of f and 33948? 41 Let h = 6664 - 6608. Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
3*x - 5*y - 4 - 2. Let a = 66 + -129/2. What is the nearest to 1/3 in x, 4, a? a Let l = -1 - 0. Let k be (-91)/546*8/(-2). Let z = 13/2 - 7. Which is the nearest to -1? (a) k (b) l (c) z b Let a be (-2)/6*147/(-98). What is the nearest to 13 in 2, 0, a? 2 Let n(d) = -34*d + 38. Let w be n(1). Which is the nearest to -0.2? (a) 24 (b) -4 (c) w b Let f be 2/(-2) - (0 + (-11 - -5)). Let z be (0 + 3 - 2) + (4 - f). Which is the nearest to 0.1? (a) 5 (b) 6/17 (c) z c Let u = 26 - 25.78. Let q = 0.12 - u. Let f be (-3)/(-2 - -11) - -1. Which is the closest to f? (a) q (b) 4 (c) -5 a Suppose -23*s = -84*s + 183. What is the closest to -1/4 in s, 3/7, 2/5, 12? 2/5 Let i = -0.4 - -0.8. Let x = -0.7 + 0.78. What is the nearest to x in -5, i, 1? i Suppose 3 = 3*p + 6. Suppose 270 = 3*n + 276. What is the closest to 0.1 in n, -4/7, p? -4/7 Let d = -709 + 709.3. What is the closest to d in -3, 13, 0.3? 0.3 Let v = 0 - 0.1. Let y = v + -12.9. Let h = -16 - y. What is the nearest to h in -0.2, -2/11, -5? -5 Let p = -1.4 + 0.4. Let o(j) = -5*j + 25. Let r(u) = -10*u + 51. Let n(b) = -5*o(b) + 3*r(b). Let g be n(6). What is the closest to -1/2 in g, -0.3, p? -0.3 Suppose -f - 5*z + 6 = -10*z, 2 = -z. Which is the closest to 0.1? (a) -0.2 (b) f (c) 0.07 c Let i = 12 + -10. Let o be (-40)/10*(-2)/4. Let y = 0.01 - -0.09. Which is the closest to o? (a) y (b) i (c) 0 b Let m = 125/822 - -2/137. Let u = 71.99 - 72.19. Which is the nearest to -0.1? (a) m (b) -1.7 (c) u c Let s = -2.25 + 1.75. Which is the nearest to 0? (a) 8 (b) s (c) 0 c Suppose -3*z = 3*k + 3, -9*k = -8*k + 2*z. Which is the closest to -5? (a) -0.3 (b) 0 (c) k c Let z = 35.954 + -35.6. Let p = z + -0.054. Let t(w) = 6*w**2 - w. Let x be t(1). What is the nearest to 1 in -4/3, x, p? p Let c = -0.91 - 5.59. Let a = c - -6.1. What is the nearest to 3 in 0.09, a, 5? 5 Let a = -16/33 + -2/11. Let t = -105/209 + 13/19. Let r = -0.2 - -3.2. What is the closest to a in -1/5, r, t? -1/5 Let c = 29.5 + -29. Suppose -2 = -3*g + g - 4*v, 4*g = -5*v - 8. Let u = -0.25 + 1.25. What is the closest to u in c, -3, g? c Suppose 0*j - j + 3*m + 7 = 0, -3*j = m + 9. Let v be 16/(-4)*(-2)/4. Let u be 4 + -4 - (-1)/v. Which is the closest to 0? (a) u (b) 2/7 (c) j b Let p(y) = y**3 + 5*y**2 - 7*y - 7. Let x be p(-6). Let w be x/1 + 10134/(-306). Let q = 34 + w. Which is the nearest to -2/7? (a) 4/5 (b) q (c) -0.3 c Let y = -0.3137 - -0.1137. What is the closest to y in -4, 0.2, -6, -2? 0.2 Let y = -267 - -263. Let n = -3/34 + 55/238. Which is the nearest to 0.3? (a) -0.5 (b) n (c) y b Let u = 0.188 - 0.288. Suppose -8 = 4*m, 4*r + 3*m = r - 3. Which is the nearest to r? (a) 0 (b) u (c) 1 c Let c(d) = -d**3 + 7*d**2 + 14*d + 12. Let k be c(9). Let u be ((-2)/4)/(k/3824). Let s = -79 + u. What is the nearest to -3/5 in 0.1, s, 0.4? 0.1 Let g = -4.043 + 3.843. Let v = 0.2 + 0.3. Which is the closest to g? (a) v (b) -0.3 (c) 1/6 b Let p = 65 - 146. Let i = p - -76. Which is the nearest to 3? (a) 0.3 (b) i (c) -3 a Let t = 4.6 - 4.9. Let a = 6 + -21. Let p be ((-4)/70)/((-3)/a). What is the nearest to -2/9 in -4/9, p, t? p Let s = -1320 - -1325. Which is the closest to 0? (a) 2 (b) -3/5 (c) s (d) -1 b Let w be 115/(-690)*((-30)/4)/(-5). What is the closest to 0.26 in 3, 0.4, w, -5? 0.4 Let p = 1.9015 + 0.0985. Let f = 1 + -3. What is the closest to 2/7 in f, -4, p? p Let y = 72 - 73. What is the nearest to y in 2, -1/5, -6? -1/5 Let m be (-15)/4 + (-2)/8. Let c = -0.19 - 0.91. Let g = -2.1 - c. What is the closest to -0.2 in -2/15, m, g? -2/15 Let k be (10/(-210))/((-7)/(-42)). What is the closest to k in 2/7, -4, -2, 9? 2/7 Let h = -3.4 + 0.4. Let v = -178/231 - -8/77. What is the closest to v in -8, h, -0.1? -0.1 Let q = -44 + 25. Which is the closest to 1? (a) q (b) 2 (c) -2/17 b Let v = 1535 - 1533. Which is the closest to 6? (a) 0.5 (b) 2/5 (c) v c Let r = -2.8 + -14.2. Let d = r - -15.8. Let q = d - -1.6. What is the nearest to 0 in 1/4, 5, q? 1/4 Let a = 21.45 + -0.95. Let v = a - 20. What is the nearest to 2 in 0.1, -0.3, v? v Let z = 2854 - 2853. Suppose -25 + 10 = -3*t. Let i = -0.8 - -1. Which is the closest to i? (a) z (b) t (c) 0.2 c Let k = 0.03 - 0.23. What is the closest to k in -0.4, -0.3, 5, 0.1? -0.3 Let m = 76 - 3. Let w = 72.906 - m. Which is the closest to 2/3? (a) 5 (b) -5 (c) w c Let d(n) = 3*n + 9. Let c be d(-8). Let m be (6/c)/(12/(-10)). Let i be 11/10 - (-42)/(-70). What is the nearest to 0.1 in i, m, -5? m Let x = 2.1 - -4.9. Let o = x - 6.5. Let k be 4 + 0 - 20/6. Which is the closest to k? (a) 0.2 (b) 0.1 (c) o c Let d = 571 + -572. Which is the closest to -0.1? (a) d (b) -2/3 (c) -2 b Let j be (76/120 + (-1)/3)/(-3). What is the closest to 1/3 in -1/4, -4, j? j Let r = -13 - -10. Let g be (-2)/(-7)*154/198. What is the nearest to 0 in -0.5, g, r? g Let l = -0.37 - -0.08. Which is the closest to -1? (a) 1 (b) l (c) -0.2 b Let x be 1 - (-86)/(-56) - (-578)/2023. Suppose -3*j = 2*q + 1, -2*j + 4*q + 14 = -12. Which is the nearest to -1/3? (a) j (b) x (c) -5 b Let g = 9.82 - 10.12. What is the nearest to 1 in 2/35, 1, g, 1/5? 1 Let k = 45.3 + -52.6. Let i = 7.02 - 0.02. Let w = i + k. Which is the closest to -1? (a) 2 (b) w (c) 2/5 b Let z be ((-4)/(-6) - 0)/(-2). Let k(o) = -o. Let r be k(-1). Let y be (-9)/(6/(-2)) + r. Which is the closest to 0.1? (a) y (b) -5/6 (c) z c Let y be (-7)/(14/16) + (1 - -2). Let x be 6/(-15) - (y/5 - -1). Which is the nearest to x? (a) -1 (b) 4/7 (c) 2/33 c Let m = -140 + 90. Let o = m + 52. What is the nearest to -0.2 in -1, -0.1, o? -0.1 Let v = 7 - -2. Let n = 10 - v. Let d = -0.2 + 0.1. Which is the nearest to n? (a) -3 (b) 1/3 (c) d b Let o = 638 - 637.9. What is the closest to -0.1 in o, -0.02, -75? -0.02 Let k = 1662/7 - 238. What is the nearest to 1/4 in -0.5, k, -2? -0.5 Let g = -3.7 - -4. Let j be (((-184)/(-96) - 2)*15)/((-15)/4). What is the closest to j in 8, g, -1? g Let f = 4.3 + 3.7. Let n = f + -7.9. Let o be 1/(-2) - 22/(-20). What is the closest to n in 0.2, 0.5, o? 0.2 Let x = 0.239 + -0.039. Let z be 2*1*-1*(-2)/(-18). What is the nearest to 1 in z, 2, x? x Let g = -5/282 - 209/141. What is the closest to 0 in g, -9, 5, -2/3? -2/3 Let c = -21.5 - -22. Let l = 0 - 0. What is the nearest to -3 in c, -1, l? -1 Suppose -3*c + 6*c - 9 = 0. Let u be -1*-2*c/18. Let i = 57.9 - 58. What is the nearest to u in -6, 3, i? i Let z = 2.2 - -0.8. Let v be (-3)/4 + (-9)/18. Which is the closest to z? (a) v (b) 2/11 (c) -1/6 b Let r = 295 + -1177/4. Which is the closest to 1/3? (a) r (b) -1 (c) -4 a Let s(x) = -x**2 + 6*x - 5. Let u = -12 + 19. Let k be s(u). Let j be (8/78)/(8/k). What is the nearest to -0.4 in -1/7, j, -3? j Let q = 68 + -73. Which is the closest to 0.1? (a) q (b) -17 (c) 2 c Let d = -491 - -481. Which is the nearest to d? (a) 1/2 (b) -1/4 (c) -2/9 b Let r = -22 - -30. What is the nearest to 1 in 3, r, -0.6? -0.6 Let x = 10.31 + -10. Let s = x + 0.09. Let t be (3/(-2))/((-1)/2). Which is the closest to s? (a) t (b) 4 (c) 1 c Let p = -136 - -283. Let l = p + -1032/7. Let n = -1 - -1.2. What is the nearest to n in l, -2/5, -1? -2/5 Let w be ((-3)/(-6))/(126/(-28)). Which is the closest to 1? (a) -5 (b) w (c) -2/5 (d) 5/2 b Suppose 220 + 660 = 5*s. Let f = s + -1230/7. Which is the closest to -1/2? (a) f (b) 4 (c) -3 a Let j = 1038/5951 - -4/541. Which is the nearest to j? (a) 0.1 (b) 1 (c) -1 a Suppose 2*r = 5*d + r - 10, 2*r = 5*d - 5. Let l = -5 - -9. Let k = d - l. What is the nearest to k in -0.4, 0.4, 1? -0.4 Let c = -142/105 + 20/21. What is the nearest to -0.1 in c, 2, 14, 1/11? 1/11 Let g = 110 + -111. Which is the closest to 2? (a) 1/5 (b) g (c) 0.5 c Let x(j) = -j**3 - j**2 - 2. Suppose -s = -g - 3, 0 = -4*s - 5*g - 0 + 3. Let m be x(s). Let v = m - -11. Which is the closest to 1/4? (a) 5 (b) v (c) 0.3 c Let j = 315/134 - 90149/670. Let x = j + 132. Let z = -1 + 3. What is the nearest to -8 in z, x, 1? x Let d = 548 + -1648/3. What is the closest to -0.1 in 1, d, 1.1? 1 Let f = -1 + -2. Let v = 8.3 + 0.7. Let l = 9.2 - v. Which is the closest to 1/4? (a) f (b) l (c) 0 b Let d = -1 - -0.8. Let o be ((-24)/(-10)
{ "pile_set_name": "DM Mathematics" }
ming j is positive. j**(395/567) Simplify (z/(z**(2/25)/z))**(20/9)/((z**(-3/2)/z)/z**(-7)) assuming z is positive. z**(-7/30) Simplify (o**(10/7)/(o**(1/6)*o))/(o**(1/44)/o*o*o*o**(-2/51)) assuming o is positive. o**(-11335/15708) Simplify ((l**6/(l*l*l*l*l**(-7)*l))/(l/(l**1*l*l)*l/(l*l/(l*l**(-1)))))**(-8/5) assuming l is positive. l**(-88/5) Simplify (n**(2/11))**(2/41)*(n**3)**(2/15) assuming n is positive. n**(922/2255) Simplify (r**(3/2)/r)**(7/13)*(r*r*r*r**20*r)/r**(-4/5) assuming r is positive. r**(3259/130) Simplify v**(2/21)*v/(v/(v**(-11)*v))*v*(v/(v*v*v/(v/(v*v**(-2/15)))))/v*v**(-2/49) assuming v is positive. v**(-2894/245) Simplify ((s**(-3/4)*s*(s/(s/(s/s**(7/3))))/s)**10)**(4/17) assuming s is positive. s**(-250/51) Simplify ((a**1)**(-1/14)/(((a/(a/a**(-4/7)))/a)/(a/((a/a**(-1/2))/a))))**(1/69) assuming a is positive. a**(2/69) Simplify ((o/(o*o**(1/4)*o))**(-1/4)/(o**3*o*o*o*o**(-1/8)))**(-2/39) assuming o is positive. o**(89/312) Simplify (w**(-4)*((w*w*w*w*w*w*w*(w*w**(-3/7)*w)/w*w)/w)/w)/(w*w**6*w/((w*w**(-8))/w)) assuming w is positive. w**(-94/7) Simplify (((m*m**(-2/35))/m)/(m**(-2/9)/m))/(m**(-2))**(-2/41) assuming m is positive. m**(13787/12915) Simplify ((s/s**(-1/21))/(s/s**(1/49)))**(-1/61) assuming s is positive. s**(-10/8967) Simplify (q**1*q*q/(q/q**6)*(q**(-2/7))**(-27))**(5/2) assuming q is positive. q**(275/7) Simplify (((c/(c/(c*c**0)))/c*(c/(c*c**(-1)*c*c))/c)/(c**(-3)/c*c*c*c*c*c/(c/(c**4*c))))**(4/21) assuming c is positive. c**(-4/3) Simplify (((v**(-2)/v)/v*v*v**(2/7))/(v*v/v**0*v)**20)**39 assuming v is positive. v**(-17121/7) Simplify (v/v**(-12))/(v*v/v**(-2/3)*v)*((v*v**(-15)*v)/v)/v*v**(1/55) assuming v is positive. v**(-932/165) Simplify (y**(-14/3)*y**(-3)*y)/(y**(2/17)*y)**(-49) assuming y is positive. y**(2453/51) Simplify ((t/(t*t*t**(-11)*t))/t)/t*t**(-6/7)/t*t*(t**(-1/6)*t)/t*t/t**(-7) assuming t is positive. t**(587/42) Simplify (n**(-36)*n*n**(-17/4))**(-11/7) assuming n is positive. n**(1727/28) Simplify (t**(-7)*t**(-2/11))/(t/(t**(-2/7)*t)*(t**(3/2)*t)/t) assuming t is positive. t**(-1381/154) Simplify (t*(t*t**(-2/25)/t)/t)/t*t**(-2/3)*(t**(-3/5))**(-44) assuming t is positive. t**(1849/75) Simplify ((t*(t/t**2)/t)**(-1/4)/(t*t**(-3)*(t*(t*t/(t**(-7/5)*t))/t)/t))**29 assuming t is positive. t**(493/20) Simplify (a*a/(a*(a/(a*a/((a/a**2)/a)))/a))**(-25)*(((a/(a*a**6*a))/a)/a)/a**(-2/7) assuming a is positive. a**(-936/7) Simplify (a/a**(-17))/((a*a**12)/a)*(a**(2/21)/a)/a*a*a**13 assuming a is positive. a**(380/21) Simplify (z**(-4)*z)**(-20)/(z**(-10)*z**(-6/7)) assuming z is positive. z**(496/7) Simplify t**(-1/19)*t**2*t**(-1)/t**(-7) assuming t is positive. t**(151/19) Simplify ((l*l*l*(l**(2/5)*l*l)/l)**(16/7)/(l**1)**(-12/17))**38 assuming l is positive. l**(243352/595) Simplify (z**(-2/3))**50/(z**(2/13))**(-13/6) assuming z is positive. z**(-33) Simplify (i**(-5/6)/i**(-4/9))/(i**10/i**(-6/13)) assuming i is positive. i**(-2539/234) Simplify (l**(4/9)*(l/(l**4/l))/l*(l**(1/3))**(6/35))**(-1/30) assuming l is positive. l**(787/9450) Simplify ((m*m*m**4)**(-3)*(m**2)**(13/2))**(-1/6) assuming m is positive. m**(5/6) Simplify (b*b**(-8)*b)**(-2)*(b/(b/b**(-1/6)))**(-3) assuming b is positive. b**(25/2) Simplify (z*z**18)**(-2)*(z/(z*z*z**24/z))**(-48) assuming z is positive. z**1114 Simplify b*b**(-2/103)*b*b*b*b**(1/8)*b**(3/31)*(b/b**14)/b assuming b is positive. b**(-250271/25544) Simplify o**(-2/21)/((o/(o**(-9)/o))/o)*(o*o*o*o**(10/3)*o)/(o*o**(-4/15)/o) assuming o is positive. o**(-262/105) Simplify d/((d*(d/(d/(d*d*d**(-1/4))))/d)/d)*d*d**(-5/3)/d*d*(d*d**(1/4))**(-19) assuming d is positive. d**(-145/6) Simplify (a/(a/(a/(a/(a*a/(a**11/a*a))))))/(a**(-1)*a)*(a**(3/7)*a)/(a**(2/31)/a) assuming a is positive. a**(-1440/217) Simplify ((a/(a**(-3)/a*a))/(a*a*a**2)*a**(-1/10)*a*a/(a**(1/3)/a)*a)**(6/17) assuming a is positive. a**(107/85) Simplify (o/((o**(-16)*o)/o))**(-2/25)/(o**(-2/13)*(o*o**(-10))/o) assuming o is positive. o**(2858/325) Simplify ((f/(f*f*f**(2/9)))/f*f**(3/13))/(f*f**9)**27 assuming f is positive. f**(-31823/117) Simplify ((x/x**11)/x)/(x**(1/5)*x)*x*x**11*x**5 assuming x is positive. x**(24/5) Simplify ((j*(((j*(j**15*j*j)/j*j)/j)/j)/j)**(-2/53))**(2/23) assuming j is positive. j**(-64/1219) Simplify (o**(1/19)*o*o*o**(-7)*o*o**2*(o*o**(1/9))/o)**(-20) assuming o is positive. o**(6280/171) Simplify (q**8/((q/(q*((q*q**16)/q)/q))/q))/(q/(q*q*q**(-5))*q**15/q) assuming q is positive. q**6 Simplify (q*q*q/(q*((q**(-2)*q)/q)/q)*q/q**(1/29)*q)/(q**(-7)*q/(q**(-2/23)*q)) assuming q is positive. q**(9257/667) Simplify ((r*r**(2/5))/r**(2/7))/(r/(r/r**(-6))*(r*(r/r**(-1)*r)/r)/r) assuming r is positive. r**(179/35) Simplify v**(-1/32)/(v**(-15)/v)*v**(7/8)/(v/(v/(v/v**(18/13)))*v*v) assuming v is positive. v**(6335/416) Simplify n**(-3)/((n**(1/7)/n)/n)*n**(3/13)/(n/((n**(-1/7)*n)/n)) assuming n is positive. n**(-187/91) Simplify (v*(((v/(v*v/(v/(v**6*v*v*v)*v)*v*v*v*v))/v)/v)/v*v/((v*v**(1/15))/v))/(v/((v**(-7)/v*v)/v))**31 assuming v is positive. v**(-4381/15) Simplify f**(-1/6)*f/f**(-5/4)*f/(f*f**(-1)*f)*f**(-10) assuming f is positive. f**(-95/12) Simplify b**(-1/2)/(b/b**14)*(b**(8/3))**(-50) assuming b is positive. b**(-725/6) Simplify ((y**(1/4))**(-16)*(y/(y*y/((y/y**(-2/7))/y)))**(-5))**(-17/3) assuming y is positive. y**(17/7) Simplify (b/(b**8*b*b))**2/(((b*b/((b/b**(-11/4))/b))/b)/b**(-6)) assuming b is positive. b**(-89/4) Simplify (s*s*(s**10*s)/s*s*s*s**(5/9))/((s*s**15*s*s)/(s/(s/(s/(s/(s**(-12)/s)))))) assuming s is positive. s**(-148/9) Simplify ((((x**(-4)/x)/x)/(x/(x**(-8)*x)))**(-13))**9 assuming x is positive. x**1638 Simplify ((v**5/v)/(v*v**(7/3)))/((v*v/(v/v**(2/7))*v)/(v**(-2/19)*v)) assuming v is positive. v**(-289/399) Simplify ((u/(u*u**(-3)*u*u))/u)**(-10)*(u**(2/53))**(-1/7) assuming u is positive. u**(-2/371) Simplify (i**(-8)*i*i**(1/5))**(-2/51) assuming i is positive. i**(4/15) Simplify (((((p/p**(-2/9))/p)/p)/p*p*p**(2/19))/(p**(-1)*p**3))**(6/37) assuming p is positive. p**(-914/2109) Simplify (w**(-2/41)*w*w/(w*w**3))/(w*w/(w**(-15)*w))**5 assuming w is positive. w**(-3364/41) Simplify (((h*h**(4/9)*h*h*h)/h**(-2/17))/(h/h**(-3/4)*h**(3/4)/h))**(-5/7) assuming h is positive. h**(-4685/2142) Simplify (y**(-2/27)*(y*(y/(y/(y*y**11)*y*y))/y*y)/y*y)/(y/y**(3/2))**(-43) assuming y is positive. y**(-571/54) Simplify (t**16/t)/t**(18/5)*((t/(((t**(2/41)/t)/t)/t*t))/t)/(t**(-1/37)/t*t) assuming t is positive. t**(101474/7585) Simplify (y**4)**47/(((y/(y*y/(((y/y**(-3))/y)/y)))/y)/y**12) assuming y is positive. y**200 Simplify (a**(-3/17)*a/(a*a/(a/((a/((a*a/a**(-1/9))/a))/a*a))*a*a))/(a**25/((a*a/((a/(a**(-20)/a))/a))/a)) assuming a is positive. a**(-7201/153) Simplify (s**(13/5)/((s*s*s**(1/25)*s)/s))/(s/(s**(1/3)*s)*s*s/s**(14/9)) assuming s is positive. s**(101/225) Simplify ((b**(-6)/b)/b)**19/(b/(b*b/(b/b**(6/5)))*(b**15*b*b)/b) assuming b is positive. b**(-834/5) Simplify (d**(-24)/(d**(-2/21)/d))/((d**(-15)/d)/(d/(d*d**(-24)*d))) assuming d is positive. d**(338/21) Simplify ((i/(i*i/i**(-8)*i*i))/(i*i**(-13)*i))/((i/(i/((i/(i/(i**(-1/14)*i)))/i*i)*i))/(i/(i/(i*i**(-3/10)*i*i*i)))) assuming i is positive. i**(132/35) Simplify ((u**(-2/49)/u**(-3/8))**(-50))**(-3/25) assuming u is positive. u**(393/196) Simplify ((f/(f*(f/f**(-7))/f))/f*f*f*f**(-10)/f*f*(f**(-3))**(-1/51))**(4/19) assuming f is positive. f**(-1084/323) Simplify ((a*(a**3/a)/a)/a)**3/(a*a*a**(1/4))**(1/4) assuming a is positive. a**(39/16) Simplify (l**(-1/7)/(l*l**(3/11)*l))/(l**(-7)/(l/(l/((l/(l*l*l/l**(-15)))/l)))) assuming l is positive. l**(-1033/77) Simplify ((i**(2/3)/i)/((i/(i/i**(-8)))/i*i))/((i/(i*i**12))/((((i/(i/(i*i**(-10)/i)))/i)/i)/i*i)) assuming i is positive. i**(23/3) Simplify a**(-3/5)*(a*a**(-14)*a)/a*(a/a**(1/6))/(a**(-4)*a*a) assuming a is positive. a**(-323/30) Simplify (k**(4/5)/((k*k/(k/k**(-2/21)*k))/k))/((k*k**(1/7)/k*k)/((k**(-6)/k)/k)) assuming k is positive. k**(-761/105) Simplify (f**(-20))**(7/9)/(f/(f**(-24)*f)*f**(1/23)/f) assuming f is positive. f**(-7990/207) Simplify m**(-2/41)/((m*m/(m**(-17)/m)*m)/m)*(m/((m*m**(-13))/m*m))/(m**(-7)*m) assuming m is positive. m**(-43/41) Simplify ((p/(p*p/(p/p**0)))**3*(p*p/(p*p/((p**(
{ "pile_set_name": "DM Mathematics" }
-33 What is the value of (-154 - -181) + -12 + 3 + -4 + 6? 20 What is (62 + 1 - (-113 + 120)) + 0? 56 What is the value of (-62 - (2 - 5)) + (-814 - -849)? -24 Evaluate 2 + -11 + (-5 + 12 - 9) + 64. 53 What is 69 + -101 + 75 - 23? 20 Evaluate (-2 - (3 - 43 - -1)) + -2046 + 2065. 56 Calculate -41 - (-37 + (21 - 14)) - 24. -35 What is (-680 - -663) + -67 + -1 - -21? -64 Evaluate (39 - 36 - -5) + -46. -38 What is the value of 72 + (0 - -23 - ((-5 - 60) + 79))? 81 What is the value of -58 - (-10 + (10 + 3 - -7))? -68 Evaluate 83 + (-238 - -134) + -59. -80 What is the value of 1 + 3 + (125 + -83 - 149) - (6 - -1)? -110 Calculate 410 - 419 - (-2 - (-2 - 2)) - -13. 2 Calculate (-645 - -633) + (-4 - -3) + -14. -27 Calculate (-4 - 1 - 6) + (45 - 39). -5 Calculate 6 + (42 - (-45 + 72)) + 43. 64 What is the value of (5 + -24 + 11 - -10 - -2) + -5? -1 What is 11 - (8 + 64 + (10 - (-7 - -15)))? -63 Calculate 365 + -346 + 47 + -1 + -17. 48 Evaluate 7 + -29 + 16 - (-2 + 18). -22 What is 18 - 98 - -82 - (0 + 77)? -75 (-31 - -4 - -14) + (-6 - 0) + 57 38 Calculate 13 + -133 + 117 + -114. -117 What is 6 - ((53 - -1) + 32 + (-38 - 5))? -37 Evaluate -13 + 25 + -15 + -2 - -20 - 141. -126 What is the value of 1 - 13 - ((16 - 30) + 2) - -7? 7 What is the value of 81 - (42 - (-11 + 13))? 41 Calculate -94 + (19 - 44 - -62 - 13). -70 Calculate -4 + (-4 - (7 - 25)) - (0 + -8 + 54). -36 What is the value of 12 - (25 - 28) - -6? 21 What is the value of -26 + (18 - 6) + -8 - (20 - (-30 + 54))? -18 Evaluate -3 + (-1 - -1 - -4) + 13 - (-5 + 11). 8 What is 141 - 395 - -247 - (8 - -1)? -16 Evaluate -13 + 17 + -62 - -35. -23 What is the value of 4 + 3 + -2 + -35 + (-37 - -31)? -36 What is the value of -1 - -71 - (-697 - -735)? 32 18 - (-17 - -33) - -79 81 Calculate (54 - 1) + -14 + -10 + 8 + 5. 42 What is the value of 6 - ((195 - 73) + -33)? -83 Evaluate (-46 - -50 - (-4 + (17 - -1))) + 3. -7 What is the value of (-63 - (11 - (20 + -27)) - (0 + 8)) + 10? -79 What is -11 - -2 - (-12 + -41 + 12 + 78)? -46 -6 + -38 + (-30 - -35) -39 Evaluate 13 + (-3 - 14 - (-1 - 20)). 17 What is the value of -9 - (0 + -10) - ((-7 - -12) + -74)? 70 What is 47 + (-18 - 0 - (220 - 242)) + (-8 - 0)? 43 What is 23 + -16 - (-685 - -628)? 64 What is 1 + -72 - ((-29 - -14) + (3 - -29))? -88 Calculate -87 + -44 + (14 - -47). -70 8 - (-70 + 61 + 27 - (10 - -1)) 1 What is 177 + -109 - 53 - (22 + 0)? -7 Evaluate (0 - -7) + 16 + -8. 15 What is the value of -12 - ((-1 - (-3 + 26)) + (90 - 79))? 1 Calculate 18 + -42 + 37 - 108 - -19. -76 What is (-7 - 14) + 25 + -47 + 20? -23 Calculate 37 + (-9 - (-11 - 2)) + -12 + 9. 38 What is (0 - 57) + (-13 - -24 - (-57 + 52))? -41 3 + (-4 - -3) + (-5 - (-7 + 0)) 4 What is -108 - (-97 - (4 + -31))? -38 Evaluate -37 + (10 - (-13 + 14)) + 11. -17 Calculate (40 - 15) + -13 + (4 + 9 - 1) + -14. 10 What is the value of 51 - (32 + (3 - -19) + -66)? 63 Calculate 3 - (8 - (13 + (13 - 11))) - -7. 17 What is 4 + (-9 - (5 - 9 - 4)) - 13? -10 Calculate -22 + (5 - ((-16 - -14) + -2)) + -9 + 2. -20 What is the value of 52 + 19 + (5 - (-6 + (6 - -7)))? 69 (3 - -8) + 8 + -4 - -14 29 Calculate -86 + -2 + 2 - ((-116 - -117) + (-12 - 0)). -75 What is -39 + (0 - 1) - (-12 + 29 + -2 + -18)? -37 (-125 - (-25 - 129)) + -35 -6 Calculate (-31 - -10) + 13 - 11 - 32 - 3. -54 1 + 12 + 2 + -7 - (-9 - -5) 12 What is the value of 64 + 33 + (-10 - 20) + 19? 86 What is (36 - (-13 + 4 + 20)) + -6 - 98? -79 Calculate (13 + (-13 - 3) - (32 - 5)) + -9 + 1. -38 14 + (67 + -23 - 32) 26 331 + -307 - (92 + -2) - -7 -59 What is -222 - -227 - (-13 + 8 - 59)? 69 Evaluate 62 + -112 + 92 + -131. -89 Evaluate (-3 - -25) + (20 - 5 - (-29 + 50)). 16 Evaluate 10 + (64 - 109 - (-1 + -4 + 10)). -40 Calculate (240 - 227) + (-1 - 13) + 33. 32 -2 + (42 - 6) - (129 - 128) 33 Evaluate -19 - (-33 - (-58 + -11 + 45)). -10 Calculate 25 + 51 + 22 + (0 - (-6 + 5)) + -5. 94 Evaluate (7 - -37) + -14 + -40. -10 What is the value of 1 + -1 + 138 + -89 + -49 + (-19 - 0)? -19 Evaluate 10 + 3 + (-76 - -4 - (2 + -8 + 12)). -65 -3305 + 3236 + (0 - -166) 97 Calculate 28 + -11 - (-38 - -10 - -1 - 13). 57 Evaluate (-3 + (4 - 2) - -6) + (15 - -8). 28 Evaluate 32 - 11 - (-39 + 74) - ((2 - 3) + -4). -9 What is the value of (-12 + -35 + 24 - 0) + -7? -30 What is 4 + (11 + 27 - (-4 - (4 - 9)))? 41 116 - (-69 - -40 - (3 - 72)) 76 Evaluate -15 - (-7 - (-14 - -11 - 2)). -13 Calculate (0 - 6) + 1 + (-62 + 49 - (6 + -35)). 11 (5 - 4) + 55 + (-11 - (115 + -108)) 38 What is the value of -95 + -4 + -4 + 8 + (-314 - -299)? -110 Calculate (71 - 207) + 163 + (30 - 0). 57 What is (-9 - (19 - (-10 + -3 + 30))) + 125? 114 What is -66 + (-93 - -160) + -17? -16 Calculate (10 - (-76 - -165)) + 148. 69 What is the value of (-3 - -20 - -3) + 2 + (93 - 46) + -36? 33 (3 + -65 - 0) + (-26 - (-55 + 20)) -53 Calculate -29 + 3 + -5 + 14 + 68 + 25. 76 19 - (-23 + 97) - -89 34 Calculate -69 + (-6 - 2 - (214 + -233)). -58 Calculate 7 + -33 - (1710 - 1651). -85 What is the value of -14 - (4 + -13 + 6) - -2 - (-6 + -1)? -2 Calculate (-921 - -933) + -20 + 3. -5 What is the value of 66 - ((16 - (-11 - -13)) + (-16 - -12))? 56 What is the value of 4 + -87 + 3 - (-555 - -544)? -69 What is the value of -11 - (-12 + 7 - 1) - (2 - 21)? 14 Calculate -28 + 1 - ((-30 - 93) + 71). 25 Evaluate -43 + 6 - (45 - 4 - 51). -27 (8 - -1) + -8 + -9 + 24 + -50 -34 3 - -24 - (7 + 8 - 55) 67 Calculate -8 + (-6 - -10) + (-9 + -5 - -4). -14 Calculate 6 + 3 + 1 + -16 + 27 + -10 + -52. -41 What is (0 - (2 + 17)) + (-11 - -73) + -49? -6 Evaluate 3 + 36 + -28 + -2. 9 What is -15 - ((39 - -2) + -6)? -50 What is 79 - ((-173 - -170) + (17 - (4 + 0)))? 69 Evaluate 205 + -272 - (9 - -44). -120 Evaluate -25 - (47 - (-6 - -55)). -23 Calculate -1 + 150 + -229 + 105 + 92. 117 Evaluate 51 - 47 - -30 - (-25 + 6). 53 19 + -5 + (-12 - -1) + 16 19 -4 + 14 - (10 - ((-11 - -13) + 15 + -19)) -2 What is 8 + 14 + (-53 + 1 - (352 + -340))? -42 What is 310 + -332 + (-19 - 1) - 14? -56 Calculate 53 + -70 + 36 + 7. 26 Calculate (-81 - -69) + -77 + (-10 - -1) + 11. -87 What is -103 + (-35 + -8 - -86) + -11? -71 What is the value of -1340 + 1299 - (-68 - 2)? 29 Calculate 10 + (31 - 79 - ((7 - 2) + -10 + 2)). -35 What is the value of 574 - 570 - (38 + 3 + -2)? -35 Evaluate (0 - 23) + -17 + 3. -37 Evaluate 2 - (17 + 0 + -2 - (25 + -13)). -1 -4 + 1 + (76 - 29) + -47 + (-1 - 19) -23 Evaluate -104 - (-105 - (0 - -83)). 84 Evaluate (-14 + -2 - (-4 - -1)) + (-812 - -802). -23 What is 52 + (89 - 55 - 57)? 29 Calculate 19 - -1 - (-598 + 591). 27 (5 - -17) + 12 - (-1 + (-5 - 2) + -3) 45 -91 + 24 + -26 + 21 + -1 + -3 -76 (30 - 31 - -27) + -2 + -34 -10 Evaluate (0 - -81) + (-97 - -214) + -104. 94 Calculate (-211 - -209) + 25 + -25. -2 What is the value of -80 + 103 + (20 - 0)? 43 Evaluate 1 - 68 - ((5 - 7) + -23 + 1 + 33). -76 64 + -80 - (-15 - (-2 - 0)) - 31 -34 What is -65 - -198 - 63 - 93? -23 Calculate -6 - 2 - (6 - (2 + -27 - (5 - -8))). -52 Calculate -11 - -2 - (121 - 34) - (3 + (6 - 2)). -103 What is the value of 9 - 3 - (22 - (-2 - (23 + -25)))? -16 Evaluate -33 + -4 - (399 - 408). -28 Evaluate 66 + (-24 - 27) + -41. -26 Evaluate 2507 - 2519 - (41 + (0 - 0)) - (-1 - -1). -53 13 + -29 + 14 + 30 - -29 57 What is -12 - ((136 - 83) + (-2 - -3)) - -21? -45 Evaluate (78 - (37 + -36)) + -7 + 9. 79 What is the value of (51 + 18 - (-4 - -3)) + (7 - 7) + 6? 76 Evaluate 11406 + -11410 - (2 + -71 + -2). 67 -8 + 7 + 3 - (-170 - -150) 22 -36 - (-66 - (68 + -97)) 1 Evaluate 21 - (-7 + 44) - (1 + -6 + 3). -14 What is 19 + -38 + 19 - ((-2 - 1) + -2)? 5 -24 + (-24 - (27 - 47)) -28 Evaluate 35 - ((-29 + 28 - (-2 + 13)) + 2 - -14). 31 Evaluate 58 + (58 - 114) + (-3 - 0 - -29). 28 What is 106 - (-49 + 58 + -36 - -35)? 98 Calculate 4 - (86 + -19 + -33). -30 Calculate -7 + -8 + 1 + -6 + -9. -29 Calculate (0 - 0 - 4) + (82 - ((-31 - -16) + 10)). 83 Evaluate -11 + -15 + 6 - -13 - (-3 - 9). 5 Evaluate (-2 - -20) + -200 + 117 + 93. 28 What is -83 + 106 + -1 + -9 + 90? 103 5 - (17 + 61 + 12 + -32) -53 What is the value of 16 - (-6 - (22 - 25))? 19 What is (217 + 444 - 670) + (0 - 91 - -1)? -99 Evaluate 8 - (66 - 18 - 76). 36 What is 195 + -171 - (-20 - -1)? 43 Evaluate (-9 - -20 - 33) + (4 - -22). 4 -118 + 121 - ((24 - 9) + 5) -17 Evaluate 57 + (-7 - -2) - (-3
{ "pile_set_name": "DM Mathematics" }
e Which is the biggest value? (a) -7/5 (b) 2 (c) -5 b Which is the second biggest value? (a) 1/3 (b) -0.3 (c) 0.5 a Which is the fifth biggest value? (a) -2 (b) -196 (c) -0.4 (d) -0.1 (e) 4 b What is the third biggest value in 2/11, -6, -5/4, -0.4, 4? -0.4 What is the smallest value in -4/7, 0.21, -5/6? -5/6 What is the fourth biggest value in 1/10, -0.5, -1, -2/57? -1 Which is the fourth biggest value? (a) 2/5 (b) -0.9 (c) -2/3 (d) -0.0334 b Which is the fourth biggest value? (a) 1 (b) 2/15 (c) -0.023 (d) -7 d What is the fourth biggest value in 4, -1, 0, 0.4? -1 Which is the third smallest value? (a) 2.5 (b) -1/4 (c) 5/3 (d) -7/3 c What is the third biggest value in 6/5, -2/7, 2, -6.09? -2/7 What is the smallest value in 0.4, -1/8, 4/7, 3, 4? -1/8 What is the biggest value in -1/3, 2/17, 5, -0.186, 1? 5 What is the fourth biggest value in 2, -47, 5, -3? -47 Which is the fourth biggest value? (a) -2 (b) 1/4 (c) -33 (d) -3.9 c Which is the second biggest value? (a) -0.1 (b) 1/13 (c) -4 a Which is the smallest value? (a) 1 (b) -30 (c) 0.4 b Which is the third biggest value? (a) 5 (b) 0.03 (c) -0.14 (d) 1 b What is the second biggest value in 3, 2, 7/1700? 2 What is the fourth smallest value in 1/2, 1, -5, -1/13? 1 Which is the fourth biggest value? (a) -2/19 (b) -3/4 (c) -0.1 (d) -0.3 b Which is the biggest value? (a) -2/7 (b) -4 (c) -16 (d) 2 d Which is the biggest value? (a) -26 (b) 0.5 (c) 2/17 (d) -6/7 (e) 5 e What is the second smallest value in -4, -7/6, 16, -1/4, 1/2? -7/6 What is the second biggest value in -2, 0.3, -0.7? -0.7 What is the fourth smallest value in 9, -2, 0, -45, -4? 0 Which is the fourth biggest value? (a) -1/4 (b) 0.05 (c) -1/3 (d) 2 c What is the second biggest value in -1, -6, -2/15? -1 What is the biggest value in -0.3, 35, -4? 35 Which is the second smallest value? (a) -5 (b) 5/3 (c) 1/3 (d) 12 c Which is the second smallest value? (a) -4/13 (b) 0.05 (c) -1/5 (d) -3 a What is the third biggest value in -3, 2/7, -1/2, 4/7? -1/2 Which is the smallest value? (a) 8 (b) -2/13 (c) 0 b What is the biggest value in 5, -0.03, -3? 5 What is the fifth biggest value in 1, -9.2, 0, 11, -0.2? -9.2 Which is the smallest value? (a) 281 (b) -1/9 (c) 9 b What is the smallest value in -3/7, -1/9, -2/21? -3/7 What is the second biggest value in 0.6, 2, 0.1? 0.6 Which is the second biggest value? (a) 2/5 (b) 20 (c) -3/5 (d) -0.2 a Which is the smallest value? (a) -0.3 (b) -1 (c) -31 (d) 1/7 c Which is the third biggest value? (a) 2/19 (b) 0 (c) -1/11 c Which is the smallest value? (a) 166/5 (b) -0.2 (c) 7 (d) -3 d Which is the smallest value? (a) 1/21 (b) 1/4 (c) 1/7 a Which is the fourth biggest value? (a) -2 (b) -24 (c) -1/3 (d) -3 b Which is the biggest value? (a) -0.4 (b) -27 (c) -6 a Which is the third smallest value? (a) -2/13 (b) -10 (c) 4 (d) -0.3 (e) 20 a What is the second biggest value in 1, -18/5, -1/2? -1/2 What is the fourth smallest value in 2, -5/3, 0.5, -3? 2 What is the second biggest value in 0.25, 9, -5/3, 2/17? 0.25 What is the fourth biggest value in -3, 3.2, -0.5, 3/5, -4/7? -4/7 What is the third smallest value in -0.2, 0.5, 0.21, -2? 0.21 Which is the fourth biggest value? (a) -18 (b) -0.3 (c) -1/2 (d) -4 a What is the smallest value in -0.3, 3, -0.2, -228, 9/5? -228 Which is the biggest value? (a) -15 (b) 39 (c) 13 b Which is the smallest value? (a) -1 (b) 1 (c) -0.3 (d) -58 d What is the second biggest value in 0.08, -0.2, 1/3, -0.25, 3? 1/3 Which is the biggest value? (a) 0.2 (b) 38 (c) 3 (d) -1 b What is the biggest value in -5, 3, -0.3, -0.04? 3 What is the third smallest value in -21, 14, 4, 0? 4 What is the smallest value in 118, 4, -0.5? -0.5 Which is the second biggest value? (a) 1/4 (b) -9 (c) -172 b What is the third smallest value in 28, -5, -0.196? 28 What is the fourth smallest value in 0.4, 4/7, 0.3, -3? 4/7 Which is the second biggest value? (a) 10 (b) 0 (c) -5 b Which is the fourth biggest value? (a) 0.5 (b) 2 (c) -28 (d) 2/3 (e) 4 a Which is the third biggest value? (a) -3 (b) 5 (c) -1/127 (d) -1/6 d What is the fourth biggest value in -0.1, 0, 3, 5? -0.1 Which is the biggest value? (a) 6 (b) 8 (c) -0.1 (d) -3 b What is the third smallest value in -4, 26/5, -2/3? 26/5 Which is the smallest value? (a) 2/17 (b) 1 (c) -5 (d) -1 c Which is the second smallest value? (a) -13 (b) -1.5 (c) 0.3 b Which is the fifth smallest value? (a) 0 (b) 76/9 (c) 0.07 (d) -3/5 (e) 1 b What is the third smallest value in -1, 4, 0.3, 7/5? 7/5 What is the third biggest value in -1, 1/5, -419? -419 What is the third biggest value in 4, -2, 55.3? -2 Which is the biggest value? (a) 0.2 (b) -0.4 (c) -60 (d) -3 (e) 1 e What is the fourth biggest value in 4, 1.1, -1, -4/5? -1 What is the third smallest value in -4, -10/3, -3/7, 3? -3/7 What is the third biggest value in -2, 0.3, -0.36, 4? -0.36 What is the second biggest value in 0, 2/5, 12, -3/2? 2/5 What is the third biggest value in -1/11, 359, -3/4? -3/4 What is the second biggest value in -0.03, -12/7, 0? -0.03 Which is the second biggest value? (a) -1/9 (b) 2/3 (c) 267 (d) -4 b Which is the biggest value? (a) 4 (b) 29 (c) 0.2 b Which is the smallest value? (a) 12 (b) -5 (c) -3/4 (d) 0 (e) 0.1 b What is the third smallest value in -2/683, -0.7, -0.5? -2/683 What is the fourth biggest value in 1, -1, 0.003, 5? -1 What is the fourth biggest value in 5, -4, 1/3, 2/149? -4 What is the fourth biggest value in -1/36, -0.5, 4, 3, 0.2? -1/36 What is the third biggest value in 3, -0.04, 9, -1/4? -0.04 What is the second smallest value in 0.5, -0.2, 2/5, 89? 2/5 Which is the smallest value? (a) 1/7 (b) -4/9 (c) -2/21 b What is the biggest value in 3, 0.07, 1/3, -0.06? 3 What is the second smallest value in -13, -5, 0, -1/34? -5 Which is the smallest value? (a) -0.1 (b) 9 (c) -0.6 (d) 2/5 c Which is the third smallest value? (a) -0.08 (b) -0.44 (c) -2/11 (d) -5 c What is the fourth biggest value in -1, 8, -1/2, 5, 0.2? -1/2 Which is the fourth biggest value? (a) 1/9 (b) 1 (c) 1/14 (d) 0.04 (e) 0.5 c Which is the second biggest value? (a) -3 (b) -0.08 (c) -2/485 (d) -0.1 (e) 3/5 c Which is the third smallest value? (a) 4 (b) 36 (c) 3 b What is the second biggest value in -2/7, 5, 25? 5 What is the third smallest value in 1/5, 5, -1? 5 Which is the second biggest value? (a) -15 (b) 2 (c) 0.26 (d) 2/5 (e) 4 b Which is the third smallest value? (a) 2 (b) -1 (c) 2/11 (d) 4 (e) 8 a Which is the third biggest value? (a) -14/31 (b) -5 (c) 0 (d) -0.04 a Which is the third biggest value? (a) 1/8 (b) -3/2 (c) 1/2 (d) -2/3 d What is the second biggest value in 16, -1, -2? -1 Which is the third smallest value? (a) -6.3 (b) 5 (c) -1/20 (d) 0.4 d Which is the second biggest value? (a) 0.2 (b) -1 (c) -14.2 (d) -7 b Which is the second smallest value? (a) -0.8 (b) 1 (c) 1.6 (d) -1/2 d Which is the fifth biggest value? (a) -5 (b) -42 (c) -0.4 (d) -4 (e) -3/2 b Which is the fourth smallest value? (a) 0.3 (b) -9/11 (c) 3.6 (d) 4 d What is the fifth biggest value in -0.04, -0.41, -0.3, -4, 0.1? -4 What is the second biggest value in 3/7, -0.3, -0.6, -2? -0.3 Which is the fourth biggest value? (a) 2 (b) 0.16 (c) 2/3 (d) 2/17 d Which is the smallest value? (a) -0.157 (b) 1 (c) 0 a What is the second biggest value in -1/4, 3/4, -4/3, 2? 3/4 Which is the fifth smallest value? (a) -4 (b) 20 (c) 1/4 (d) -4/5 (e) -1/4 b Which is the biggest value? (a) 1/212 (b) -3 (c) -2/5 a Which is the second smallest value? (a) 0.008 (b) -4 (c) -2 (d) -8 b What is the second smallest value in -2/7, -83, -5, 4? -5 Which is the fifth biggest value? (a) -8 (b) 0.4 (c) -1.2 (d) 1/3 (e) -5 a What is the fourth biggest value in 0, -23, 0.06, 4? -23 What is the biggest value in -0.5, 4, 1/7, 1/25? 4 Which is the third biggest value? (a) 1 (b) -0.1 (c) 83/6 b What is the smallest value in -16/9, 0.3, 1/5? -16/9 Which is the second biggest value? (a) -1/2 (b) -4 (c) -2 (d) 0.4 (e) 2/53 e Which is the fourth smallest value? (a) 0.5 (b) 1283 (c) 1 (d) 5 b Which is the sec
{ "pile_set_name": "DM Mathematics" }
- 3*o**2 - o**3). 6*o**4 + 9*o**3 Expand (0 - 4 + 1)*(d + 0*d + 0*d) + (-3*d + 3*d - 2*d)*(9 + 2 + 1). -27*d Expand 2*j**2 - 2*j**3 - 3*j**2 + 0*j**3 - 2 - j**3 - 2*j**3 + 4*j**3 + (6*j - 2*j - 2*j)*(-1 + 1 + j**2) - 3*j**3 + 0*j**3 + 5*j**3 - 2*j**3 + 6*j**3 - 3*j**3. 4*j**3 - j**2 - 2 Expand (-2*z + 7*z - 3*z)*(1 + 1 - 1)*(-1 + 6 - 3)*(-3 - 4 + 2). -20*z Expand 5*c**2 + 4*c**3 - 5*c**2 + (4 - 4 - 1)*(-3*c**3 - 4*c**3 + 5*c**3) - 2 + 2 - 4*c**3. 2*c**3 Expand (0 + 0 - 2*a**2 + (24*a + 18 - 18)*(1 - a - 1))*(0*a**2 + a**2 + 0*a**2). -26*a**4 Expand 6*t**4 + 6*t**4 + t - 13*t**4 + 4*t**3 - 4*t**3 + t**4 - 2*t + 2*t + 2*t**4 + (-2*t**3 - 2*t**3 + 2*t**3)*(-t - 4*t + 3*t). 6*t**4 + t Expand (-3 + i**2 + 3)*(-1 + 1 - i**3) + 0*i - 3*i - 4*i + 2*i**5. i**5 - 7*i Expand (0*q + 0*q + 2*q)*(-4 - 2 + 2)*(-2*q + 2*q + 2*q) + 13*q**2 + 17*q - 17*q. -3*q**2 Expand 4*k - 4*k - k**4 + k**4 + k**4 - 4*k**4 + (2 - 2 + 2)*(-1 + 2*k**4 + 1) + (-k**2 - 12*k**2 + 3*k**2)*(3*k**2 - 5*k**2 + k**2). 11*k**4 Expand ((-4*s - 2*s + 4*s)*(-2 + 4 - 5) - 3*s + 3*s + 2*s)*(-1 - 6 - s + 1). -8*s**2 - 48*s Expand (0 + 7 - 2)*(-2*c**2 + c**2 + 0*c**2) + 32*c - 32*c + 8*c**2. 3*c**2 Expand ((1 + 0 - 2)*(0*b + 3*b - 5*b) - 9*b - 12 + 12)*(-2 - 2*b**3 + 2). 14*b**4 Expand (0*j**2 - j**2 - 3*j**2)*((-4*j + j - j)*(-1 - 3 + 2) + (-j + 2*j + j)*(0 + 1 - 3)). -16*j**3 Expand (18*f - 5 + 5)*(3 + 0 - 4)*(4 - 1 - 2). -18*f Expand (-4*l + 0 + 0)*(l - l - l) + l - 2*l**2 + 0*l - 2*l. 2*l**2 - l Expand ((h**3 - h**3 + h**3)*(-3*h**2 + 4*h**2 + h**2) + (-1 + h + 1)*(2*h**4 - 7*h**4 + 4*h**4))*(-15 - 7 + 3). -19*h**5 Expand y**4 + 3*y**2 - y**4 + y**4 + (-4 + 4 - y)*(2*y**3 - 2*y**3 - 2*y**3). 3*y**4 + 3*y**2 Expand (-6*s + 4*s + 0*s)*(1 - 3 + 4)*(3*s - 3*s + 8*s + 2*s - 2*s + 2*s + (1 - 6 + 4)*(4*s + 0*s - 3*s)). -36*s**2 Expand (135 - 4*w**2 - 135)*((0*w + w - 2*w)*(-2*w + 5*w - w) + 6*w**2 - 3*w**2 - 2*w**2). 4*w**4 Expand (3*u**4 + 0*u**4 - 4*u**4)*(-3 - 1 + 3*u + 2). -3*u**5 + 2*u**4 Expand -8*r - 2*r + 8*r + (3 + 1 - 3)*(-r + 2 - 2) + r + r - 3*r - 5 + 5 + r. -3*r Expand -l**5 - 2*l**5 + 4*l**5 + (l + 2*l - 4*l)*(l**4 + l**4 + 0*l**4). -l**5 Expand 3*g**3 + g - g - 2*g**2 + (10*g**3 - 6*g**2 + 6*g**2)*(4 + 1 - 4). 13*g**3 - 2*g**2 Expand (4*c**2 - 3*c**2 - 3*c**2)*(-3*c**3 + 4*c**3 - 12*c**3). 22*c**5 Expand (-g + 4*g + 0*g + (-2*g - 3*g + 6*g)*(-3 - 2 + 3))*(17 - 2 - 3). 12*g Expand g - 24*g - 3*g + (4 - 3 + 1)*(0*g + 3*g - 4*g). -28*g Expand (-4 + 4 - b)*(2*b**4 + 72*b - 72*b - 9). -2*b**5 + 9*b Expand (-84*k**4 - 23*k**4 - 8*k**4 + 23*k**4)*(5 - 3 + 0). -184*k**4 Expand -4*w + w + w + (-5 + 2 + 1)*(-3*w + 3*w - 3*w). 4*w Expand (-m**4 + 2 - 2)*(1 - 1 - 2*m) - 2*m**2 - m**5 + 2*m**2 + (m**5 + m - m)*(0 - 2 + 0) + 0*m**4 + 0*m**4 - 2*m**5. -3*m**5 Expand (-4 - 1 + 4)*(19*v**2 - 10*v**5 - 19*v**2). 10*v**5 Expand (-1 + 3 - 3)*(6 - 3 - 1)*(274*a + 17*a**3 - 274*a). -34*a**3 Expand (0*v**2 - v**3 + 0*v**2)*(3*v - 2*v - 3*v)*(66 - 66 + 3*v). 6*v**5 Expand -2*q + 6*q - 2*q + (0 - 2 + 0)*(10 - 10 + 4*q). -6*q Expand x**2 - 6*x**2 + 2*x**2 + (-4*x + 5*x + x)*(-5*x + 8*x - 2*x). -x**2 Expand i - 7*i + 3*i + (-3 + 4 + 0)*(-11 + 11 + 15*i). 12*i Expand (2*s + 0 + 0)*(6*s - 3*s - 2*s**2 + 0*s). -4*s**3 + 6*s**2 Expand (-2*c**2 - 2*c**2 - c**2)*((-c - 2*c + c)*(3 - 1 - 5) - 4 - 2*c + 4). -20*c**3 Expand (6*h - 2*h - 3*h)*(-h**2 + h**2 + h**4) + (0*h - h + 0*h)*(-5*h**4 - 2*h**4 + h**4). 7*h**5 Expand (5 - 4 + 0 + (-1 + 3 - 4)*(4 + 0 - 3) - 6 + 14 - 4)*(-2 - 2*b**4 + 2). -6*b**4 Expand (-2*b + b**3 + 2*b)*(-1 - 1 + 1) + (-2*b + 3*b - 3*b)*(16*b**2 + 2*b**2 - 5*b**2). -27*b**3 Expand (0 + 4 - s - 6)*(45*s - 29*s - 26*s). 10*s**2 + 20*s Expand (-1 + 1 + i)*(0*i + i + i) - 304*i**2 - i - 2 + 3*i + 308*i**2. 6*i**2 + 2*i - 2 Expand -1 + u**4 + 1 - 2*u**4 + 2*u**4 - u**4 + 0*u**4 + 4*u**4 - 3*u**4 + (-u**3 - 4*u + 4*u)*(-3*u + 4*u - 3*u). 3*u**4 Expand (2*f + 3*f + 0*f)*(0*f**2 - 3*f**2 + 4*f**2)*(0*f + f - 3*f)*(1 - 2 + 0). 10*f**4 Expand (-i + i - 2*i)*(-4 + 4 + 2*i) + (-2 - 3 + 4)*(-2*i**2 + 3*i**2 + i**2) - 1 + 1 - i**2. -7*i**2 Expand -7*k - 46 + 46 + (4*k - 4*k - k)*(1 - 1 + 1). -8*k Expand (31*y - 8*y + 2*y)*(y + y - 4*y). -50*y**2 Expand -3*c + 1 - 1 + (-2*c + 2*c + 2*c)*(-3 - 2 + 7). c Expand f**2 + 2 - 2 + (-4*f + 2*f + 4*f)*(f - 3*f + 3*f) + (23*f - 4*f + 6*f)*(-2*f + 2*f - f). -22*f**2 Expand (3*t - 2*t - 2*t)*(-1 + 2*t + 1) + 19 - 19 - 3*t**2. -5*t**2 Expand (-1 + 4 + 2)*((3*h**3 - 4*h**3 - h**3)*(-1 - 5 + 4) - 2*h**3 + 2*h**3 + h**3 - 2*h**3 - 4 + 4). 15*h**3 Expand (3 - 5 + 0)*(-3*n - 4*n + 5*n) + (2*n - 3*n - 2*n)*(-7 + 2 + 1). 16*n Expand -4 + 3*d**3 + 4 + (d**2 + 0*d**2 - 4*d**2)*((-4*d + d + 0*d)*(2 + 1 - 1) - 1 + 1 + d). 18*d**3 Expand ((-1 - 1 + 4)*(12 - 10 + 3) - 4 + 0 + 3)*(4 - 4 - 2*z). -18*z Expand (-4*a - 3*a + 5*a)*(-29 + 22 + 58)*(0*a + a - 3*a). 204*a**2 Expand 1 - 1 + w**3 + 2*w**3 + w**3 - 4*w**3 + (4 - 4 + 2*w**2)*(w - 3*w + 4*w). 4*w**3 Expand (-4*o + o**2 + 4*o)*(-1 + 11*o - 4*o**2 - 11*o). -4*o**4 - o**2 Expand (-g - 4*g + 3*g)*(4*g + g - 4*g) - g**2 - 2*g**2 + g**2 - 5*g**2 - 2*g + 2 + 3*g + 3*g**2. -6*g**2 + g + 2 Expand (-2*w - 2*w + 0*w)*(-2 - 1 - w**3 + 5). 4*w**4 - 8*w Expand (-17*s**2 - 316*s + 316*s)*(-3*s**2 + s**2 + 0*s**2). 34*s**4 Expand 0*s**2 - 5*s**2 + 4*s**2 + (s + 0*s - 3*s)*(2*s - 4*s + 0*s) + 2*s + 0 - 3 + 2*s**2 + 1. 5*s**2 + 2*s - 2 Expand (-3*f**3 + 0*f**3 + f**3)*(-4*f + 4*f - 4*f - 3). 8*f**4 + 6*f**3 Expand -9*u + 3*u + 20 - 21 + (1 + u - 1)*(-4 + 1 + 4). -5*u - 1 Expand (4 + 0 - 3 + (-3 + 1 + 1)*(1 - 2 - 1) + 7 - 1 - 2)*(2*j**2 - 5*j**2 - 6*j**2). -63*j**2 Expand (2*t**5 + t**5 - 5*t**5)*(-7 + 0 - 1). 16*t**5 Expand (4 + 3 - 4 + 1 + 5 - 4 + (6 - 4 - 3)*(-6 + 1 + 4))*(-3 - 4*p + 3). -24*p Expand (-9 - 19*y + 17 - 10)*(2*y**2 - y**2 - 2*y**2). 19*y**3 + 2*y**2 Expand (2*g**2 + 3*g - 3*g)*((-2*g**2 - 1 + 1)*(-12 + 4 - 4) - 2*g**2 - g**2 + 2*g**2). 46*g**4 Expand (71*h + 16 - 69*h + 14)*(-2*h**2 - h + h). -4*h**3 - 60*h**2 Expand (0*a + 6*a - a)*(-a**2 - 2*a**3 + a**2) + 0*a**2 + 0*a**2 + 2*a**4. -8*a**4 Expand (2 - 2*w**3 - 2)*(-43*w - 40*w + w). 164*w**4 Expand ((2*z - 1 + 1)*(5*z**2 - 2*z**2 - z**2) + 0*z**3 - 2*z**3 - 6*z**3)*(0*z**2 - z**2 + 2*z**2). -4*z**5 Expand -12*q**3 + 4*q**3 - 5*q**3 - 4*q**3 + 2*q**3 + q**3 + (-q**2 + q**2 - 2*q**3)*(-2 + 1 + 3). -18*q**3 Expand (-2 + 0 + 4)*(-1 - 2*n - 4*n + 8*n). 4*n - 2 Expand (-3 - 1 + 2)*(-27*u**3 - 560*u**2 + 560*u**2 + (3*u**3 - 6*u**3 + 2*u**3)*(3 - 1 - 3)). 52*u**3 Expand 3*q - 4*q**2 + 2*q**2 - 2*q + (5*q - 3*q - 3*q)*(-q + 14*q + q). -16*q**2 + q Expand -2*p**5 + 3*p**5 - 2*p**5 + (6*p**3 - 4*p**3 + 6*p**3)*(4 + p**2 - 4). 7*p**5 Expand (-2*i - i + 0*i)*(2*i + 4*i - 4*i) + (-i + 4*i - 2*i)*(-3*i - 2 + 2). -9*i**2 Expand (-2 + 2 + 1)*(-u**4 - 2*u**2 + 2*u**2) + (2*u**2 + u**2 - 5*u**2)*(2*u**2 - u**2 - 3*u**2) + 2*u**4 - 2*u**2 + 2*u**2. 5*u**4 Expand (-3*u + 4*u - 3*u)*(-2*u + 0*u + u)*(u**2 + 4*u**2 - 4*u**2). 2*u**4 Expand (-9 + 9 - 7*q)*((0 - 5 + 3)*(2 + 2 - 5) - 4 + 0 + 1). 7*q Expand -2 + 2 - 2*r**2 + (r + 0*r - 2*r)*(2*r + 0*r + 0*r) - 40*r**2 - 17*r**2 - 5*r**2. -66*r**2 Expand (1 - 1 + 1)*(0*w**2 - 64*w + w**2 + 62*w). w**2 - 2*w Expand (-46 + 35 - 92)*(-j - 2 + 2)*(j + 1 - 1). 103*j**2 Expand -8*v**2 + 0*v**2 + 0*v**2 + (-v - v + 4*v + (-2*v + 1 - 1)*(-1 - 3 + 2) - 3*v + v + 0*v + v - 2*v + 0*v)*(-3*v + 6*v + v). 4*v**2 Expand (6 - 18 - 17)*(-3 + 3 + y)*(-4*y + 4*y + 2*y). -58*y**2 Expand (-2 - 2 + 0)*(-2*j**5 + j**5 - j**5). 8*j**5 Expand (2 + 4 - 4)*(0*m**3 + 4*m**3 - 3*m**3)*(-5*m**2 - 4*m**2 + 6*m**2). -6*m**5 Expand (-2 - 2 + 1)*(2 - 2 - y**4) - 3*y**4 + 4*y**4 + 0*y**4 + (1 + 0 - 4)*(-2*y**4 - y**2 + y**2) + 4*y**4 - 3*y**4 + 0*y**4. 11*y**4 Expand (287 - 287 + 22*k + (4*k - 2*k - k)*(-1 + 2 + 0) + 3*k + k - 2*k - 3*k - 2*k + 6*k)*(4*k**2 + k**4 - 4*k**2). 26*k**5 Expand -9 + 9 - 4*v + 2 - 2 - 2*v - v + 0*v + 2*v - 3*v + 2*v + 0*v + (-v + v + 2*v)*(-5 + 1 + 3). -8*v Expand (z**5 + 0*z**5 - 2*z**5)*(7 + 7 + 20). -34*z**5 Expand (-f - 5*f + 5*f)*(0*f - 2*f + 18*f). -16*f**2 Expand (-5 + 1 + 5)*(q**5 + 4 - 4 + (-1 + 0 - 1)*(-2*q**5 + q**5 + 0*q**5) + 2*q**5 + 0*q**5 - 3*q**5). 2*q**5 Expand (-1 - 2 + 1)*(-15 + 4*s**3 + 15). -8*s**3 Expand ((-1 - 4 + 4)*(-2 - 1 + 2) - 2 -
{ "pile_set_name": "DM Mathematics" }
*o**3 - 53*o**3. -128*o**3 - 16*o**2 Collect the terms in 512408 - 512408 - 153*b**2 + 156*b**2. 3*b**2 Collect the terms in -98523*x**2 + 1 + 49397*x**2 + 49133*x**2. 7*x**2 + 1 Collect the terms in 165*u + 407*u - 952*u. -380*u Collect the terms in 34261065*r**3 + 34261069*r**3 + r**2 - 68522129*r**3. 5*r**3 + r**2 Collect the terms in 4 - 9 - 14 + 13*d + 10 + 9. 13*d Collect the terms in 5 + 2 - 1128*x - 240*x - 7. -1368*x Collect the terms in -31883*k**2 - 281976*k**2 - 180143*k**2. -494002*k**2 Collect the terms in 688 + 42*m - 686 + 35*m - 9*m**2 - 77*m. -9*m**2 + 2 Collect the terms in 227701095*g + 735*g**3 - 227701095*g. 735*g**3 Collect the terms in 633*f + 587*f - 1665*f + 551*f. 106*f Collect the terms in 511 + 2916 + 17*x - 40*x - 48*x. -71*x + 3427 Collect the terms in 483563 + 0*a + 3*a - 6*a + a. -2*a + 483563 Collect the terms in 1144 - 4330 - 2*w + 3168. -2*w - 18 Collect the terms in -43860 - 43866 + 122*n**2 + 131561 - 43835. 122*n**2 Collect the terms in -352*d**2 + 72 - 169*d**2 - 19. -521*d**2 + 53 Collect the terms in 1710*d - 3397*d + 1687*d + 31*d**3 + 9*d**3 - 12*d**3. 28*d**3 Collect the terms in 1132*b**2 - 156*b**2 + 535*b**2 - 243*b**2 - 292*b**2. 976*b**2 Collect the terms in -172*h - 5 + 2 - 2*h**3 - 3 - 361*h + 350*h. -2*h**3 - 183*h - 6 Collect the terms in -4*p + 51688150889 + 4*p - 2*p**3 - 51688150889. -2*p**3 Collect the terms in 36 + 930671*z - 1861436*z + 930744*z - 36. -21*z Collect the terms in -3*r + 0*r + 5*r - 334 - 343 + 707. 2*r + 30 Collect the terms in 38*z + 69249427 - 69249427. 38*z Collect the terms in 28224*d - 84669*d + 28225*d + 28224*d. 4*d Collect the terms in -1 + 811*r**2 + 4 + 7*r**2 + 14*r**2 - 873*r**2. -41*r**2 + 3 Collect the terms in 5*p + 10910 + 3759 + 2422. 5*p + 17091 Collect the terms in 4119*w + 3454*w + 3454*w - 17927*w + 3455*w + 3450*w - 7 + 0. 5*w - 7 Collect the terms in 14100*o**2 - 368*o**2 - 19*o + 19*o. 13732*o**2 Collect the terms in 8 + 2 + 4 - 2 - 6 - 29*k. -29*k + 6 Collect the terms in -519165*d**2 + 259576*d**2 + 27 + 259556*d**2. -33*d**2 + 27 Collect the terms in -162 - 14*b**2 - 215 + 380. -14*b**2 + 3 Collect the terms in 272693387050*q**2 - 8*q - 272693387050*q**2 + 4*q**3 + q**3. 5*q**3 - 8*q Collect the terms in 8 + 93325*w**2 - 8 - 94283*w**2. -958*w**2 Collect the terms in 136360307954 - 6*k**3 - 136360307954. -6*k**3 Collect the terms in 4813 + 104*o**2 - 14459 + 4809 + 4839. 104*o**2 + 2 Collect the terms in -11131*v + 11129*v + 3*v**2 - 215*v**3 - 146*v**3 + 64*v**3. -297*v**3 + 3*v**2 - 2*v Collect the terms in 102*r - 481*r + 147*r + 68*r**2 + 232*r. 68*r**2 Collect the terms in 25*l + 138780*l**3 + 22*l - 69383*l**3 - 69392*l**3. 5*l**3 + 47*l Collect the terms in 0 - 20651*a**3 + 20649*a**3 - 5. -2*a**3 - 5 Collect the terms in -360*h - 375*h - 175*h + 1. -910*h + 1 Collect the terms in 26*g**2 - 2*g**2 + 47*g**2 + 139*g**2 + 101*g**2 + 30*g**2. 341*g**2 Collect the terms in 5 + 18533*q**2 - 37019*q**2 - 3 - 2 + 18487*q**2. q**2 Collect the terms in 10769*n**2 - 5381*n**2 - 5376*n**2 + 184*n - 181*n. 12*n**2 + 3*n Collect the terms in 24*i**2 + 1211710458277*i - 1211710458277*i. 24*i**2 Collect the terms in -7458*a**3 - 1333*a**3 + 3400*a**3. -5391*a**3 Collect the terms in 0*d**2 - 2585*d**3 + 0*d**2 - 9622*d**3. -12207*d**3 Collect the terms in -77942*d - 3828*d**2 + 77942*d + 3668*d**2. -160*d**2 Collect the terms in -12819599210380*l + 12819599210380*l - 7*l**3. -7*l**3 Collect the terms in 36296*j - 71685*j + 35403*j. 14*j Collect the terms in 42*w**2 - 73*w**3 - 9 + 15 + 75*w**3 - 5 - 16. 2*w**3 + 42*w**2 - 15 Collect the terms in -1738*b - 1723*b - 1829*b + 5293*b. 3*b Collect the terms in -131530773769 + 131530773769 - 3*k**2. -3*k**2 Collect the terms in 966*y**2 - 82002844 + 82002844. 966*y**2 Collect the terms in 47*r**3 - 281285155*r**2 + 281285155*r**2. 47*r**3 Collect the terms in -527 + 175 + 184 - 294*a + 174 + 293*a. -a + 6 Collect the terms in -306 - 10*u - 379 + 945 - 296. -10*u - 36 Collect the terms in 3646 + 4062 - 7708 - 29*p**2. -29*p**2 Collect the terms in -542*s**2 - 2151*s**2 + 577*s**2. -2116*s**2 Collect the terms in j**3 + 4*j**2 - 7*j**2 + 27*j**2 + 11*j**2 + 20*j**2. j**3 + 55*j**2 Collect the terms in 2*w + 13 + 0*w**2 - 4 - 40 - w**2 - 7*w. -w**2 - 5*w - 31 Collect the terms in 157039 + 3159*y**3 - 78514 - 78525. 3159*y**3 Collect the terms in -37*s - 98*s + 325*s - 116*s - 101*s. -27*s Collect the terms in -10 - 960*g + 6 - 5*g**2 + 474*g - 6*g**2 + 462*g. -11*g**2 - 24*g - 4 Collect the terms in 19*s**2 - 117*s**2 + 17*s**2 + 13*s**2 - 114*s**2. -182*s**2 Collect the terms in 152*a**3 + 27*a**3 - 16*a**3 + 138*a**3 + 89*a**3. 390*a**3 Collect the terms in 77*k**2 - 1 + 41*k - 41*k - 103*k**2 + 27*k**2. k**2 - 1 Collect the terms in -663298 + 663298 - 13065*y. -13065*y Collect the terms in -72767*v**2 + 290735*v**2 - 72667*v**2 - 72691*v**2 - 72743*v**2. -133*v**2 Collect the terms in 0*h + 56069*h**3 - 56079*h**3 + 100*h**2 + 0*h. -10*h**3 + 100*h**2 Collect the terms in 2*v + 3*v**2 + 3*v**2 + 0*v**2 - 4*v**2 - 37313*v**3. -37313*v**3 + 2*v**2 + 2*v Collect the terms in 66*q**2 - 19*q**2 - q - 15*q**2 - 16*q**2 - 20*q**2. -4*q**2 - q Collect the terms in 11*k**2 - 69 + 16*k + 16*k - 5*k. 11*k**2 + 27*k - 69 Collect the terms in -6 - 37602*w - 213616*w - 210582*w. -461800*w - 6 Collect the terms in 8314 + 8317 + 8297 + 8321 + 15*p - 33249. 15*p Collect the terms in 291 - 4550*h - 291 - 2785*h - 3894*h. -11229*h Collect the terms in 130984*h**3 + 46068*h**3 + 147753*h**3 + 12 - 12. 324805*h**3 Collect the terms in 280*v**2 - 11*v**3 - 78*v**3 - 283*v**2 - 2 - 53*v**3. -142*v**3 - 3*v**2 - 2 Collect the terms in -7655*v**3 + 17*v + 5*v - 51*v. -7655*v**3 - 29*v Collect the terms in 745435511 + 183*r**3 - 745435511. 183*r**3 Collect the terms in -8793*t + 29540*t - 11941*t - 8801*t. 5*t Collect the terms in 60*l - 148*l + 14*l + 42*l + 50*l. 18*l Collect the terms in -122*p**2 - 147*p**2 + 264*p**2 - 8 + 2. -5*p**2 - 6 Collect the terms in 288118 - 144087 + 7*f**2 - 6*f**2 + 6*f**2 - 144031 - 4*f**2. 3*f**2 Collect the terms in 87812*s - 441 - 87820*s - 21 + 56 - 111. -8*s - 517 Collect the terms in -5656*p**3 - 179306*p**2 + 11314*p**3 + 179306*p**2 - 5659*p**3. -p**3 Collect the terms in 1731*f + 1834*f + 4381*f - 3256*f + 6849*f. 11539*f Collect the terms in 169*k**2 - 1155 + 0*k + 7*k + 188*k**2 - 59*k**2 + 1156 - 83*k**2. 215*k**2 + 7*k + 1 Collect the terms in 3 - 40*t**3 + 3 - 1 - 3 + 88*t**2. -40*t**3 + 88*t**2 + 2 Collect the terms in 14719190970 - 8*s + 29*s**2 - 14719190970 + 13*s**2. 42*s**2 - 8*s Collect the terms in 8340*q - 5359*q - 1486*q - 1493*q. 2*q Collect the terms in 21755*h - 30 + 6 + 24. 21755*h Collect the terms in 90*z + 123*z + 37*z + 35*z - 29*z. 256*z Collect the terms in -10168*t + 0 + 1 - 17612*t. -27780*t + 1 Collect the terms in -171*c**3 + 9*c + 169*c**3 + 27*c. -2*c**3 + 36*c Collect the terms in -128578*y**3 - y**2 - 2*y**2 + 2*y**2 - 19067*y**3. -147645*y**3 - y**2 Collect the terms in -9054*q**3 - 9078*q**3 - 9063*q**3 + 36203*q**3 - 9047*q**3. -39*q**3 Collect the terms in 29*t - 29662403 - 41*t + 29662404. -12*t + 1 Collect the terms in -90*p + 3*p + 209*p**2 + p + 86*p. 209*p**2 Collect the terms in 180*n**3 - 2*n - 95*n**3 + 91*n**3 + 0*n + 2*n. 176*n**3 Collect the terms in -2*a**3 + 250*a**2 - 1457*a**2 + 5*a**3 + 3. 3*a**3 - 1207*a**2 + 3 Collect the terms in -4639*i - 4*i**3 + 12254*i - 5455*i. -4*i**3 + 2160*i Collect the terms in 759*q - 1524*q - 4220*q**2 + 4228*q**2 + 765*q + 3. 8*q**2 + 3 Collect the terms in 84*w - 4242995 + 4242995. 84*w Collect the terms in 53*q**3 + 13*q**3 - 49*q**3 + 70*q**3 + 79*q**3. 166*q**3 Collect the terms in 21169*r**2 + 1635*r**2 - 22803*r**2. r**2 Collect the terms in 1057 - 218 - 212 - 205 - 209 - 212 - 436*f. -436*f + 1 Collect the terms in 10*w + 30*w - 44*w - 11*w + 9*w. -6*w Collect the terms in 2769943*m**2 - 5539889*m**2 + 2769946*m**2 + 21*m**3. 21*m**3 Collect the terms in 0 + 14*r**3 - 186*r**3 + 7 - r - 7 + 90*r**3. -82*r**3 - r Collect the terms in -1 - 3*t + 0*t - 1 + 2*t - 29*t**2. -29*t**2 - t - 2 Collect the terms in 24*v - 3233*v - 1933*v + 360*v. -4782*v Collect the terms in 16381 - 684*w + 0*w - 5475 - 5
{ "pile_set_name": "DM Mathematics" }
positive. o**(-4614/11) Simplify (h**(1/4))**(-3/52)*h/(h*h/(h/(((h*h**(1/10))/h)/h*h)))*h/(h*h**(-2/11)) assuming h is positive. h**(771/11440) Simplify (l**(-1/2)*l**(3/4))/(l**(-23)*l/(l*l*l/(l/(((l**(-3/4)*l)/l)/l)))) assuming l is positive. l**(45/2) Simplify (((b**(-4)/b)/b)/(b**12*b))/((b*b**(5/2))/(b/(b/b**(1/4)*b))) assuming b is positive. b**(-93/4) Simplify (f**(-7))**10/(f**0*f**(-4/7)/f) assuming f is positive. f**(-479/7) Simplify (r**0*r*r/((r*r**(1/3))/r)*r**(-8)*r/(r*(r/r**(-2))/r*r))**(2/35) assuming r is positive. r**(-8/15) Simplify (z**4)**(-9/10)/((z/(z/(z/(z**(-2/3)/z))*z))/z**5) assuming z is positive. z**(-4/15) Simplify (c*(c/c**(-15))/c)**(36/7)*c/(c**22*c)*c**(-5) assuming c is positive. c**(387/7) Simplify (l**25/l**3)/((l**(1/2)*l)/l**(-1)) assuming l is positive. l**(39/2) Simplify (b**(2/3))**21/((b**(6/11)/b)/(b**(-1/11)/b)) assuming b is positive. b**(147/11) Simplify (a*a**(-21)/a*a*a*a*a*a*a**(-16))/((a/(a**(-1/11)/a))/(a/(a/a**10*a)*a)) assuming a is positive. a**(-265/11) Simplify ((w**(-2/11)/((w/w**(4/5))/w))/(w**(2/5))**(-2/43))**29 assuming w is positive. w**(43674/2365) Simplify (m**(-6/17)*m/(m*m/m**22*m))/(m*m/((m**(3/4)*m*m)/m)*m)**(-3/7) assuming m is positive. m**(9607/476) Simplify ((r/(r**(-3)/r))/(r*r/r**3))/(r**(-15)*r**(-3/8)) assuming r is positive. r**(171/8) Simplify (c**(-5)/(c*c*c*c**(3/14)*c*c))/((c*c**(-14))/c**(-18)) assuming c is positive. c**(-213/14) Simplify (((p**6)**(5/9))**(-4/23))**(-6/11) assuming p is positive. p**(80/253) Simplify (w**(-2/5)/w*w**2*w**(-2/9)*w*w**4/w)**35 assuming w is positive. w**(1379/9) Simplify u**(-5)/((u*u*u**20)/u)*(u**(-17)*u*u)/(u**(-7)/u) assuming u is positive. u**(-33) Simplify (n*n**(-15)*n**(-2/49)*n)/((n/n**11*n)/n*n**(6/11)) assuming n is positive. n**(-1933/539) Simplify (n**(1/16))**(7/6)/(n/n**(10/7)*n**31*n) assuming n is positive. n**(-21167/672) Simplify (g/(g**(-7)*g)*g**9)/(g**(-4)*g**(-2)) assuming g is positive. g**22 Simplify ((v**0)**(4/29)*(v*v*v*v*(v**(-1)/v)/v*v)**1)**(-26) assuming v is positive. v**(-52) Simplify z**(3/2)/(z**12*z)*(z*z**16)/z*z*((z**(-2/15)/z)/z)/z assuming z is positive. z**(71/30) Simplify (n**(1/12)*n**(-27))/(n**(-2/29)/((n**(2/23)*n*n)/n)) assuming n is positive. n**(-206189/8004) Simplify (d**17)**(-6/7)/(d/d**1*d/d**(-1/4)*d) assuming d is positive. d**(-471/28) Simplify ((o*o**(-20)*o)/o*o*o*o/o**(1/26)*o)**(-17) assuming o is positive. o**(6647/26) Simplify q/((q**(-23/4)/q)/q)*q/(q**24/q)*q/(q/(q/(q*q*q*(q*q*q**(-1/37)*q)/q)))*(q*(q/(q*q**(-10)))/q)/q*q assuming q is positive. q**(-1069/148) Simplify (g*g**7*g/(g*g/(((g*(g**(-36)*g)/g)/g)/g*g)*g))/((g**(-10/7)*g*g)/g**(-36)) assuming g is positive. g**(-466/7) Simplify (((i*(i*i*i*(i**(1/15)/i*i)/i)/i*i)/i)/i*i/(i*(i**(-25)/i)/i))**(-1/52) assuming i is positive. i**(-421/780) Simplify s**(-4/11)/s**16*s**(-13)*s*(s/(s**11/s))/s*s assuming s is positive. s**(-411/11) Simplify (v/((v/v**1)/v))**(-2/141)/(v**(-8)*v/((v/(v**(-2/31)*v))/v)) assuming v is positive. v**(26384/4371) Simplify (((z/(z/z**5)*z*z)/(z*z*z**(2/13)*z))**(1/13))**50 assuming z is positive. z**(2500/169) Simplify z/(z*z**(-8))*z*z*z**(3/4)*((z*z**5)/z)/z*z**(-8) assuming z is positive. z**(27/4) Simplify ((i*i**2/i*i*i**0)**(-15))**(1/30) assuming i is positive. i**(-3/2) Simplify (h**10*h**(-5)*h)/(h**(-3/10)*h*h**(-1)*h) assuming h is positive. h**(53/10) Simplify (k/(k/(k/k**(-1/7))))**(1/71)*k**(2/7)/k**(1/3) assuming k is positive. k**(-47/1491) Simplify (h/(h*h**(-12)))**(-3/8)*(h/(h*h/(h/h**(2/3)))*h*h)/h*h*h/(h/(h/(h*h*(((h*h*h**(3/4))/h)/h)/h*h)))*h*h assuming h is positive. h**(-35/12) Simplify ((b*b/b**(1/4)*b*b)/b)**(23/2)/(b*b*b*b*b**(-16)*b/(b*b**(-2/31))*b*b*b) assuming b is positive. b**(10059/248) Simplify (d/((d*d**(-1/3)*d)/d)*d/((d/((d**(-7)/d)/d)*d)/d))/(d**(1/8)*d**(-20)/d) assuming d is positive. d**(293/24) Simplify w**(16/5)*(w/(w*w*w**(-15/8)*w*w*w))/w*(w**(10/7))**30 assuming w is positive. w**(12021/280) Simplify (k**(-3)*k*k**(-4))**18 assuming k is positive. k**(-108) Simplify (q/((q/(q/q**(-11)))/q*q)*q*q/(q*q*q**(-3/7)))/(q**(5/6)/(((((q**(-1/11)*q)/q)/q)/q)/q)) assuming q is positive. q**(3929/462) Simplify v**(-4/3)*v*v*v*v**(2/3)*(v**(3/8)*v)/(v*v*v**(2/53)/v) assuming v is positive. v**(3397/1272) Simplify (z**(4/17)*z**4)/(z**5*z)**(2/21) assuming z is positive. z**(436/119) Simplify (r**(-5/8)*r*r**(-2/85)*r*r)**7 assuming r is positive. r**(11193/680) Simplify (l**0)**16*(l*l*l/l**15*l*l*l)/l*l**(-2/19) assuming l is positive. l**(-192/19) Simplify k**(1/21)/k**(-6/13)*(k/(k/k**(-2/13)))/(k*k/(k/(k/k**15))) assuming k is positive. k**(3646/273) Simplify (j**2)**(-26)*j/(((j/(j/(j*j/j**(-2/35)))*j)/j)/j)*(j/j**10)/j assuming j is positive. j**(-2172/35) Simplify (u**(-5))**13*(u**(2/15))**(2/29) assuming u is positive. u**(-28271/435) Simplify (((f*f*f/f**6)/((f/f**(1/5))/f))**(-27/2))**(-22) assuming f is positive. f**(-4158/5) Simplify (s**(1/5))**(2/33)*s*s**(-10)/s*s**(-9) assuming s is positive. s**(-3133/165) Simplify (p**(2/23)*p**(-23))**(13/6) assuming p is positive. p**(-6851/138) Simplify (r/(r*r/(r*r**(4/5)))*r)**(-27)/(r*r/(r/(r**(-2/67)*r*r*r))*(r/((r*r*r**(-2/27))/r))/r) assuming r is positive. r**(-467122/9045) Simplify d**(-10/7)/d**(-2/9)*(d**5)**(8/9) assuming d is positive. d**(68/21) Simplify (z**(1/6)*z*z)/(z/((z*z**(-8))/z*z))*(z**(-1/3)*z*z)/(z**(-9)/z) assuming z is positive. z**(35/6) Simplify y**35/y**27*(y**(-1/8))**(3/20) assuming y is positive. y**(1277/160) Simplify ((p*p/(p*p*p**(-1/4)))/p**0*p/p**(-6)*p**(2/5))**(6/31) assuming p is positive. p**(459/310) Simplify (y**(2/23)*y)/(y*y**(-3/5)/y)*(y*(y*y**(1/3)/y*y*y)/y*y)**(-8/15) assuming y is positive. y**(-94/1035) Simplify (((a*a/(a**4*a)*a)/a*a**(-3))**(-3/40))**(9/5) assuming a is positive. a**(81/100) Simplify (((o/(o**(2/9)/o))/o*o/(o/(o**8/o)))/(o**(-1))**(-44))**(-5/16) assuming o is positive. o**(815/72) Simplify (i/(i/(i*i**(-12/5)/i*i))*i*i**(17/5))/(i*i**(-18)*i)**(-1) assuming i is positive. i**(-13) Simplify o/(o**(14/5)/o)*o/(o*o**10)*o*(o/(o/(o*o**(2/23)*o*o*o)))/o**13 assuming o is positive. o**(-2152/115) Simplify ((p**(-1)/p)**42*(p**0)**(-7/10))**(-26) assuming p is positive. p**2184 Simplify (m**(-2/17)*m*m*m*m/m**(-2/13)*m/m**(-1)*((m*((m/(m/m**(-2/13)))/m)/m*m)/m)/m)**11 assuming m is positive. m**(726/17) Simplify (c*c*c*c**(-4/3)*c*c*c)**(5/4)/(c**(-1)*c)**(1/47) assuming c is positive. c**(35/6) Simplify (i**18*i**(12/7)/i*i)/(i**11*i/i**(-4)*i) assuming i is positive. i**(19/7) Simplify ((t**(1/2)*t/t**(-6/7))/(((t/t**(1/9))/t*t)/((t/(t/t**(7/5)))/t)))**(10/3) assuming t is positive. t**(1177/189) Simplify b**(-9/8)/((b**0*b*b)/b)*b**(-4)*b*b*b**7*b assuming b is positive. b**(31/8) Simplify (t/t**(-2/31))**(2/31)/((t**6/t)/(t/(t**5/t)*t)) assuming t is positive. t**(-6661/961) Simplify ((y**4*y)/y*y*y/(y**(1/9)/y*y)*y**0/y*y**(-1/6)/y)**(-4/7) assuming y is positive. y**(-134/63) Simplify (v*v**(-2/21))**(-6)*v**2/(v/v**6) assuming v is positive. v**(11/7) Simplify ((m*m*m**(-1/37)*m)/m**(2/39))/(m**(1/7)*m/((m**(9/4)*m)/m)) assuming m is positive. m**(162781/40404) Simplify (n*(n/n**(2/9))/n)**(-17/2)*(n**4*n)**(-1/10) assuming n is positive. n**(-64/9) Simplify (i**(1/4))**(-3/16)*(i**(2/7))**23 assuming i is positive. i**(2923/448) Simplify (((p/p**(-1/8))/p**(-2/7))/((p/(p**(2/21)/p*p))/(p*p**(-2/9)/p*p)))**(-1/7) assuming p is positive. p**(-647/3528) Simplify (o**(-1/5)/o**(-2/49))**4 assuming o is positive. o**(-156/245) Simplify ((k**(-1/2)/k)**(-4/27)*(k*k/(k*k**(-2)*k)*k*k*k*k)/(k*k**(-4/7)/k*k))**(-14) assuming k is positive. k**(-730/9) Simplify (o/((o/(o/o**(-1/7)))/o)*o**(1/3)*o*o**(-8)/o*o*o/o**(-1/2))**(1/13) assuming o is positive. o**(-127/546) Simplify (t/(t*t**16))/t**15*t**9/t**(1/20) assuming t is positive. t**(-441/20) Simplify ((z*z*z*z**(-9)*z)/((z*z**12*z)/z))/(z**5/z*((z/((z/((z*(z/z**(-11))/z*z)/z))/z))/z)/z) assuming z is positive. z**(-33) Simplify ((j**(-1)/j*j)/j)**(1/24)/((j*j/(j/j**(-8))*j)/(j/((j/(j/j**(-3/8)))/j*j))) assuming j is positive. j**(175/24) Simplify ((i*i*i*((i/(i/((i**(1/3)/i)/i)))/i*i)/i*i)/i)/((i/(i*i*i/(i*i**(8/3)*i))*i*i*i)/i)*(((i/i**(3/5))/i*i)/i)**(-1/24) assuming i is
{ "pile_set_name": "DM Mathematics" }
lse Does 21 divide 102821166? True Does 124 divide 33412048? True Does 1014 divide 179460288? False Does 2449 divide 48269790? True Is 2863 a factor of 184708109? False Does 680 divide 116836240? True Is 300 a factor of 276810132? False Is 25061384 a multiple of 3? False Is 2052 a factor of 47033892? True Is 239 a factor of 3216034907? True Is 200 a factor of 3704000? True Does 287 divide 717149144? False Is 18439305 a multiple of 85? True Is 135537262 a multiple of 279? False Is 67 a factor of 31767608? False Is 363 a factor of 11647173? False Does 32 divide 18106906? False Is 2637541354 a multiple of 24? False Is 48110398 a multiple of 252? False Is 8 a factor of 2228629576? True Does 2110 divide 492324190? True Is 1609119224 a multiple of 17? True Is 32 a factor of 80121216? True Is 21 a factor of 4139123? False Is 14418584 a multiple of 7? False Is 2417487380 a multiple of 9493? True Is 434 a factor of 130538520? True Is 998 a factor of 902294794? True Is 172 a factor of 30657452? True Does 26 divide 304970097? False Is 21 a factor of 73114164? False Is 9680000 a multiple of 605? True Does 162 divide 1365420402? True Is 7582080 a multiple of 30? True Does 9 divide 35012469? False Does 27 divide 22340559? False Is 60 a factor of 3935271720? True Is 81290483 a multiple of 160? False Is 10843542 a multiple of 13? False Is 755777954 a multiple of 92? False Is 356111682 a multiple of 37? False Does 989 divide 1411152598? False Is 604 a factor of 742395728? True Does 7815 divide 417578895? True Is 183466707 a multiple of 601? False Does 148 divide 49312407? False Is 237538652 a multiple of 13? True Does 63 divide 24360147? True Is 8360656 a multiple of 4? True Does 220 divide 1734171094? False Is 7 a factor of 14622130? False Does 225 divide 15092755? False Is 5036 a factor of 2238965312? True Is 96 a factor of 288023520? True Is 6561 a factor of 47304810? True Is 3251426 a multiple of 554? True Is 18 a factor of 9211212? True Does 4 divide 14039522? False Does 48 divide 250821312? True Is 12 a factor of 971994596? False Is 83 a factor of 36330719? False Is 1023 a factor of 28914463? False Is 27 a factor of 16968447? True Is 7268 a factor of 121361488? False Is 510717940 a multiple of 123? False Is 1732980 a multiple of 204? True Is 344922305 a multiple of 61? False Does 15 divide 5480542? False Is 1354605 a multiple of 665? True Is 1875312894 a multiple of 431? True Is 9 a factor of 197710102? False Is 4414 a factor of 2826005183? False Is 275 a factor of 81949725? True Is 5 a factor of 1336183980? True Is 85 a factor of 108903105? True Does 1927 divide 68035400? False Does 828 divide 525053359? False Is 5706 a factor of 468781830? False Does 1516 divide 2041800549? False Is 1750 a factor of 282878750? True Is 681 a factor of 841522017? False Does 11193 divide 1595333486? False Does 6214 divide 4587199759? False Is 31891655 a multiple of 69? False Is 42 a factor of 36169518? True Is 9807632 a multiple of 23? False Does 11 divide 35389189? True Does 6 divide 350051484? True Is 53 a factor of 1279735? False Is 17011302 a multiple of 77? True Is 1388422287 a multiple of 12? False Is 97 a factor of 11989797? False Is 3344213 a multiple of 13? False Is 84 a factor of 18605913? False Does 1869 divide 24135792? False Is 846930961 a multiple of 43? False Does 8 divide 21915216? True Does 30 divide 217733580? True Is 4457 a factor of 266225524? True Is 192080064 a multiple of 33? True Is 380105011 a multiple of 2569? False Is 192 a factor of 41106048? True Is 105 a factor of 64039064? False Does 343 divide 818126052? False Is 53 a factor of 1251724543? False Is 204730470 a multiple of 826? False Is 117899883 a multiple of 256? False Is 229262212 a multiple of 1492? True Is 20122830 a multiple of 1134? True Is 16989415 a multiple of 1051? True Is 13 a factor of 127593323? True Does 8 divide 106391212? False Does 163 divide 3790675559? False Is 17784720 a multiple of 4? True Is 3827699198 a multiple of 1267? False Is 35341218 a multiple of 27? True Is 102 a factor of 665868180? False Does 16 divide 3299393229? False Does 281 divide 6309012? True Does 2307 divide 39671172? True Is 258903679 a multiple of 12? False Is 10 a factor of 32940900? True Does 7800 divide 1419515023? False Is 83 a factor of 101295638? False Is 33743318 a multiple of 29? False Is 17 a factor of 1729969113? True Is 666 a factor of 131660296? False Is 14 a factor of 19291037? False Does 9 divide 1335960162? True Does 14 divide 429632593? False Is 1680316 a multiple of 57? False Does 16 divide 32224562? False Does 663 divide 213513846? True Is 882 a factor of 460241712? True Does 76 divide 1923332684? True Is 789298029 a multiple of 1044? False Does 839 divide 267758058? False Is 67750761 a multiple of 13? True Does 344 divide 990911264? True Is 110499418 a multiple of 110? False Does 93 divide 601937010? False Is 22 a factor of 110334900? False Is 100 a factor of 1221667400? True Does 76 divide 855553356? True Does 399 divide 379719704? False Does 637 divide 26821104? False Is 160 a factor of 75577920? True Does 27 divide 175882671? True Does 38 divide 25996446? True Is 6250081 a multiple of 104? False Does 1282 divide 12919148? False Is 3 a factor of 6637675? False Is 52679776 a multiple of 189? False Is 1989 a factor of 131119803? False Is 784262814 a multiple of 541? True Is 29118848 a multiple of 704? True Is 338363328 a multiple of 48? True Is 2512189443 a multiple of 59? False Does 17 divide 86207739? False Does 53 divide 8747597? True Is 38 a factor of 45423807? False Does 6 divide 11584980? True Is 1389395344 a multiple of 113? False Is 1187 a factor of 245054963? True Is 64794675 a multiple of 75? True Is 147321925 a multiple of 5? True Is 10789 a factor of 3114898155? False Is 2563 a factor of 25547984? True Does 2995 divide 273757975? True Is 66412344 a multiple of 6? True Is 191933802 a multiple of 18? True Is 31911704 a multiple of 16? False Is 106121987 a multiple of 8? False Is 4007754264 a multiple of 262? True Is 21 a factor of 117605964? True Is 633950 a multiple of 14? False Is 1762 a factor of 5322506? False Does 177 divide 357205419? False Is 174 a factor of 576271818? True Does 467 divide 53924490? True Is 169 a factor of 265093590? False Is 11 a factor of 145706057? False Is 1192 a factor of 140329833? False Is 1631895417 a multiple of 3032? False Is 1444756211 a multiple of 639? False Is 81 a factor of 494358212? False Does 43 divide 135203051? True Is 90 a factor of 71216674? False Is 20 a factor of 272074220? True Does 31 divide 5215570336? False Does 128 divide 16655360? True Is 743622945 a multiple of 3474? False Is 20 a factor of 3320356740? True Is 191 a factor of 36577229? False Does 98 divide 193213896? False Is 1078400922 a multiple of 3? True Is 36 a factor of 265570272? True Is 1412509888 a multiple of 16? True Does 769 divide 41526000? True Does 12 divide 42416778? False Is 351443457 a multiple of 463? False Does 783 divide 6172051? False Is 84271773 a multiple of 5689? False Does 336 divide 5230512? True Is 296 a factor of 37196544? True Does 144 divide 9503490? False Is 651 a factor of 28934360? False Is 3873925 a multiple of 33? False Is 3212 a factor of 166342037? False Does 163 divide 6450399? True Does 30 divide 9165990? True Is 19523735 a multiple of 266? False Does 17 divide 48628849? False Does 39 divide 239564754? True Is 82 a factor of 796194170? True Is 22 a factor of 56088890? True Is 2599 a factor of 37264397? False Does 531 divide 46855042? False Is 1142 a factor of 373539053? False Is 820207388 a multiple of 4004? True Does 39 divide 5173701? True Does 1188 divide 48938124? False Is 11 a factor of 270376601? True Does 1145 divide 57525945? True Is 19 a factor of 520529777? False Is 15289397 a multiple of 100? False Is 17 a factor of 203350396? True Is 2986896783 a multiple of 37? False Does 455 divide 733359372? False Is 18 a factor of 9405990? True Is 2540504350 a multiple of 50? True Is 109081756 a multiple of 14? True Is 27350232 a multiple of 1092? True Is 2007872 a multiple of 8? True Is 1807 a factor of 689373330? False Is 41148086 a multiple of 119? False Is 448 a factor of 93591098? False Is 18602028 a multiple of 1107?
{ "pile_set_name": "DM Mathematics" }
(b) p (c) 0.3 a Let c = 316.693 - 314.7. Let w = c + 0.007. What is the biggest value in 1.1, -2, w, 5? 5 Let l(j) be the second derivative of -j**4/12 + 4*j**3/3 - j. Let x be l(8). Suppose 6*n + 1 - 25 = 0. Which is the second biggest value? (a) n (b) x (c) 5 a Let i be 9/(-48) - 2457/1872. Let x = 0.4 - 0.6. Which is the smallest value? (a) -2/5 (b) i (c) x b Let u = -102.7 - -99.3. What is the third biggest value in -5, u, 0.4? -5 Suppose 4*y + 4*s + 52 = 0, 5*y - 2*s - s = -33. Suppose 5*c - 7*c + 36 = 0. Let k be 2/c + y/27. What is the smallest value in -2/3, k, -0.2? -2/3 Let q = 290 + -291. Which is the third biggest value? (a) q (b) 4 (c) -3 c Let d = -7.5 - -2.5. Let g be ((-1085)/40)/7 - -4. What is the third smallest value in d, 1, g? 1 Let z = 685/21 - 97/3. What is the smallest value in 4, z, -4.22? -4.22 Let f = 19.3 - 0.3. Let t = -18.87 + f. Suppose -15*w + 32 = -23*w. What is the third biggest value in t, 0, w? w Let x = 2.582 - -0.418. Which is the biggest value? (a) -0.4 (b) 0.18 (c) x c Let w = -256/665 + -2/133. Let k = 28.609 + -28.9. Let p = -0.009 + k. Which is the second biggest value? (a) p (b) w (c) 0.2 a Let r(x) = x**3 + 7*x**2 - 3. Let g be r(-7). Let o be 7/(-39) + g/(-9). Let w = -23 + 23.2. Which is the second smallest value? (a) o (b) w (c) 2 b Suppose -106 = -14*u + 20. Suppose -24 = -11*v + u. Which is the smallest value? (a) v (b) 4 (c) -0.5 c Let u be 147/(-135) - 24/(-20). Let w = 4 + 0. Let j be w/(-14) + (-2)/(-56). What is the biggest value in u, j, -2? u Let s = -0.04 + 0.13. What is the third biggest value in -3/5, 1/7, 0.1, s? s Let k = 104/3 - 314/9. What is the smallest value in k, 9, 5? k Suppose 71*j - 70*j + 3*u + 6 = 0, 18 = 4*j - 2*u. Let m be (-2)/12*(0 - -1). Which is the biggest value? (a) m (b) -5 (c) -2 (d) j d Let d = -32 + 49. Suppose -4*m = -d + 5. What is the fourth biggest value in -3/7, -0.5, -1/8, m? -0.5 Let o be 0 + ((-2)/(-15))/(-1). Let v = 0.018 + -9.018. What is the second biggest value in o, 4, v? o Let o = -0.0857 + 0.4857. Which is the third smallest value? (a) o (b) 0 (c) -16 a Let o = -7 - -7.15. Let v = -0.28 + o. Let y = -44.3 - -43.9. Which is the third smallest value? (a) y (b) v (c) 2/13 c Let k = 0.218 - 0.129. Let m = k - 0.119. What is the second smallest value in 9, m, 0? 0 Let p = 0.4 + 0.6. Let f = 1 + -1.2. Let r = f + 0.6. Which is the second smallest value? (a) p (b) r (c) 3 a Let h = 0.6 - -1.4. Let t = -3.5 - -0.5. Let x = -39.2 + 38.9. Which is the second smallest value? (a) h (b) x (c) t b Let t = 0.859 + -0.459. Let i = 17 + -16.96. What is the fourth biggest value in 1/9, 3, t, i? i Let o = 163 + -163.7. Which is the third smallest value? (a) -5 (b) -1 (c) o c Let m = -66 + 38. Let w = m - -27.9. Which is the biggest value? (a) 0 (b) 1 (c) w b Let n = -0.715 - -0.715. Which is the third biggest value? (a) -0.05 (b) n (c) -0.01 a Let f = -38 - -36. Let x be -1 + (-8)/f + 2. Suppose 0*j + l = -3*j, 0 = x*l + 15. What is the biggest value in -1, j, 5? 5 Let f = -139 - -67. Let r = f - -68. Let u = 112/3 - 37. What is the second biggest value in -0.1, r, u? -0.1 Let n(s) = -s**2 + 4*s - 6. Let i be n(2). What is the third smallest value in 2/11, i, -0.1? 2/11 Suppose 0 = -0*j + j + 3. Let p = 359 + -356. What is the second biggest value in -1/3, j, p? -1/3 Let q = -4.5 - 0.5. Suppose 4*k - r - 10 = 0, 3*k + 2*r - 4*r = 5. Which is the third smallest value? (a) 5/2 (b) q (c) k c Let q = -12 - -25. Let o = 3251/9 + -361. Which is the second biggest value? (a) o (b) q (c) -5 a Let j be ((-2)/12)/(3864/(-1935) + 2). Let s = j + 54. Which is the third biggest value? (a) 0 (b) -1/7 (c) s (d) 5 a Let l(t) = t**3 - t**2 - t + 2. Let k be l(3). Let j = -12 + k. Let y be 25/(-60) - -1*4/6. What is the third biggest value in j, y, 2/7? y Let i = 162 - 88. Let g = i + -591/8. Let l = -0.7 + 0.2. What is the third biggest value in l, -3, g? -3 Let k = 95.97 + -3.47. Let f = -93 + k. What is the smallest value in -4, -9, f? -9 Let c = 3.21 + 1.75. Let y = -5 + c. Let t = -0.34 - y. What is the third smallest value in t, -0.2, -1? -0.2 Let h = -58 + 56. Let f be 3/(-12)*-3 - h/8. What is the third smallest value in 0.4, 3/5, f, 2/15? 3/5 Let v = -135.77 + 0.77. Let j = v - -129. Which is the second biggest value? (a) 3 (b) j (c) 2/7 c Let x = -0.069 - -30.069. Let j = 33 - x. Let p = -89 - -533/6. What is the biggest value in j, p, -1? j Suppose 57*s - 62*s = -3*x + 11, x - 1 = s. What is the second smallest value in -1/6, 4, s? -1/6 Let n = 0.303 - 1.303. What is the second biggest value in -3, -5, n? -3 Let d = -1.39 + 7.79. Let i = -6.4 + d. Which is the smallest value? (a) i (b) 11 (c) -0.3 c Suppose -2*w + 5*y - 9 = -0*y, -5*w - 6 = 4*y. Let k = -80 + 83. What is the smallest value in w, -1/2, k? w Let w = 3 - 4.2. Let m = 0.9 + w. Let o = -0.7 + -0.3. Which is the third biggest value? (a) -0.5 (b) o (c) m b Let t = -23.3 - -27.3. What is the biggest value in -1, t, 2/21? t Let u = -47.1 - -37.1. What is the biggest value in u, 0.3, -0.5? 0.3 Let m be 3/3*-4 - 3040/(-30). Let t = -97 + m. Which is the third smallest value? (a) t (b) 5/2 (c) -3 b Let m be (-5)/(-2)*(-180)/525. Which is the third biggest value? (a) -0.1 (b) m (c) -1 c Suppose 0 = -j - 5 + 3. Let h = 10 - 7. Let m = h + -2. What is the third biggest value in 3, j, m? j Let n = 4.823 - -0.177. Let y = -0.5 - -1.5. What is the second biggest value in y, n, -0.1? y Let i = 0.4 + 0. Suppose -1 = 6*q + 17. Let n be 2/q + (-6)/(-9). Which is the second smallest value? (a) -2 (b) i (c) n c Let p = -271/759 - -6/253. What is the second smallest value in -5/29, 4, p? -5/29 Let h = 11 - 11.02. Let l = 18.29 - 18. Let i = l + -0.39. What is the second biggest value in i, h, 3? h Suppose -l + 2 = 0, -32 = 3*j - l - 3. Let d = -18 - j. Let n = d - -12. What is the smallest value in -0.5, -0.1, n? -0.5 Let d = 15 + -14.9. What is the smallest value in d, -0.1, 4, 10? -0.1 Let r = -1338 - -1366. What is the third smallest value in 0.4, -0.07, r? r Let g = 1822/13 + -140. Which is the second biggest value? (a) -4 (b) g (c) -3/5 (d) -2/19 d Let a(z) = 24*z - 436. Let c be a(18). What is the biggest value in c, -5, -81? c Let u = -24 + 35. Suppose -24*h - 23*h + 57 = 10*h. Which is the biggest value? (a) h (b) u (c) 2 b Let n = -2.6 + 0.6. Let r be (-680)/102*3/(-5). Which is the fourth biggest value? (a) r (b) 0 (c) n (d) -1 c Let l = -195 + 1362/7. Let m = l + 2/21. Let v = m - -7/12. Which is the third smallest value? (a) v (b) 0.2 (c) 1 c Let u(g) = -g**2 - 9*g + 24. Let x be u(-11). Suppose x*t - 9 = s, 2*t + 3*t = 25. Which is the second biggest value? (a) -5 (b) s (c) 0.4 c Let r = 1792 - 1792.3. What is the second biggest value in 7, -54, r? r Let m(y) = y**2 - 11*y - 9. Let w(g) = -12*g**3 - 2*g**2 - g + 1. Let f be w(-1). Let v be m(f). Which is the third smallest value? (a) 0.1 (b) 8 (c) v b Suppose -5*g + 19 = -3*q, -5*q - 3*g + 9 = -6*q. Let p = 1.7 + 0.3. Let k = 2.3 - p. Which is the smallest value? (a) 5 (b) q (c) k b Let f = -9 + 4. Let o be 1 - 1/(-1) - -2. Let i = 0.1684 + -0.0684. Which is the second smallest value? (a) f (b) o (c) i c Let f = -1.8 + -7.2. Let a = 17 + 1. Let m = a + f. What is the third smallest value in -0.5, 0.3, m? m Let p = 207/14 + -29/2. Let f = 4.8 + -1.8. What is the fourth biggest value in p, -2/13, f, 2/5? -2/13 Let o = -28 - -27. Let g = -1.96 - -2. What is the biggest value in o, g, -3? g Let p = -3 + 9. Let g = -15 + p. Let r = g + 8.8. What is the smallest value in 4/5, 5, r? r Let g = -79 - -74. What is the third smallest value in -9, g, 0.9? 0.9 Let u = -356/9 + 118/3. Let i = -1 - -5. Let t = i + -3. What is the second biggest value in u, t, 2/5? 2/5 Let w = -2.1 + 2. Let z(r) = -2*r - 1. Let t be z(-2). Let f = 7447 + -7449. What is the second smallest value in t, f, w? w Let o = -11664 + 11664. Let h = 109 + -543/5. What is the third biggest value in 1/2, h, o? o Suppose r = 3*b - 42 - 223, 3 = -3*r. Let z = b + -83. What is the third biggest value in -1, 0.3, z, -7? -1 Let y = -4.6 + 10.1. Let g = 9.5 - y. What is the third smallest value in g, -0.1, -3
{ "pile_set_name": "DM Mathematics" }
et k(h) = 11*h + 6. Let c(f) = -266*f + 63*f + 102*f + 96*f. Give k(c(m)). -55*m + 6 Let u(l) = -4. Let a(h) = -h**2. Let z(j) = 2*a(j) + u(j). Let s(q) = 9842 - 3*q - 9842. Give s(z(f)). 6*f**2 + 12 Let s(k) = k. Suppose 35*l = 68*l - 429. Let h(m) be the second derivative of 0*m**2 - 2/3*m**3 + l*m + 0. Determine h(s(g)). -4*g Let s(n) = -3*n. Let a(x) be the first derivative of 0*x - 5/2*x**2 - 1/3*x**3 - 24. Give a(s(g)). -9*g**2 + 15*g Let m(n) = 42*n**2 - 11*n + 435. Let i(v) = 5*v. Calculate m(i(t)). 1050*t**2 - 55*t + 435 Let r(j) = 21*j**2. Let x(g) = 9979567*g - 9979581*g - 1 + 1. What is x(r(y))? -294*y**2 Let j(p) = 12050*p. Let s(c) = -4533*c. What is j(s(x))? -54622650*x Let c(b) = b**2. Let t(a) = -111435844*a. Determine t(c(q)). -111435844*q**2 Let i(l) = 141*l**2 + 28*l - 45*l**2 - 46*l**2 - 48*l**2. Let w(a) = -a**2 - 16*a. Let y(z) = -4*i(z) - 7*w(z). Let m(b) = -2*b. What is m(y(f))? 2*f**2 Let c(d) = -648*d. Let w(m) = 79026*m. Give c(w(t)). -51208848*t Let b(u) be the first derivative of -7 - 2 + 16 + u**3. Let p(s) = 14*s + 6*s - 26*s + 7*s. Determine b(p(v)). 3*v**2 Let t(w) = 20*w**2. Let o(k) = -5*k**2 - 6597. Calculate o(t(m)). -2000*m**4 - 6597 Let n(o) = 6*o. Let h(g) be the second derivative of -286*g**3 + 1665*g. Give n(h(k)). -10296*k Let c(b) be the first derivative of -14*b**2 - 4*b - 1373. Let h(v) = -v. Give h(c(d)). 28*d + 4 Let a(g) = -32944*g. Let f(v) = 6*v - 110. What is a(f(i))? -197664*i + 3623840 Let d(z) = 2*z**2. Let r(p) be the third derivative of 1183*p**4/12 + 2*p**2 - 110*p. Calculate r(d(o)). 4732*o**2 Let l(s) = -11*s. Let p(w) = w. Let k(q) = 2*q. Let v be 5/2*(0 - 6/(-5)). Let a(n) = v*k(n) - 7*p(n). What is l(a(c))? 11*c Let z(c) = -27*c. Let d be (-1 - 0)*11/1. Let a(o) be the third derivative of o**4/24 - 7*o**2. Let l(r) = 3*r. Let y(j) = d*a(j) + 4*l(j). Determine z(y(n)). -27*n Let z(t) = 1767 - 5279 + 1768 + 3*t + 1744. Let u(w) be the first derivative of -5*w**2 + 2. Give z(u(b)). -30*b Let q(b) = -2*b**2 - 5*b. Let c(i) be the third derivative of i**4/8 + 2*i**2 + 612*i. Give q(c(z)). -18*z**2 - 15*z Let t(c) = 6*c + 6*c**2 - 3*c - 16*c**2 - 3*c. Let s(p) = 14*p**2 - 13*p + 13. Let w(u) = -6*u**2 + 6*u - 6. Let r(x) = 6*s(x) + 13*w(x). Calculate r(t(d)). 600*d**4 Let p(z) = 2*z. Let i(n) = -163269*n - 8. Give p(i(t)). -326538*t - 16 Let z(g) = -531047*g**2 + 1. Let w(p) = p**2. Calculate z(w(t)). -531047*t**4 + 1 Let h(j) = -151*j + 151*j + 30*j**2. Let v(b) be the second derivative of -2*b**3/3 - 6*b - 29. Give h(v(i)). 480*i**2 Let k(r) = 3*r. Let t(x) = 1. Suppose 3*f = -2*f. Let i(q) = 3*q**2 + 2*q**2 - 20 + f*q**2. Let m(z) = i(z) + 20*t(z). What is k(m(g))? 15*g**2 Let i(l) = 16232 + 35*l**2 - 8113 - 8119. Let f(d) = -210*d. What is i(f(b))? 1543500*b**2 Let z(f) = -2*f. Let c(a) = a + 251732074 - 156*a**2 - 251732074. Calculate z(c(d)). 312*d**2 - 2*d Let i(n) be the first derivative of 1/3*n**3 + 0*n - 198 + 0*n**2. Let t(l) = -103*l. Determine t(i(c)). -103*c**2 Let u(n) = -5*n. Let k(x) = -3674*x - 54. Calculate u(k(j)). 18370*j + 270 Let n(y) = -20*y + y - 8*y. Let z(i) = i + 31. Let p be z(-18). Let s(a) = 25*a**2 - 10*a**2 - p*a**2. Determine s(n(f)). 1458*f**2 Let p(n) = 2*n**2. Let j(s) = -6483*s + 19. Determine j(p(a)). -12966*a**2 + 19 Let x(a) be the second derivative of -a**4/3 + 2*a + 2. Let o(w) = -4499*w + 8958*w - 4492*w. Give o(x(h)). 132*h**2 Let k(v) = v. Let i(f) = f**2 + 504*f + 11942. Determine i(k(z)). z**2 + 504*z + 11942 Let r(y) = -y**2 - 6*y**2 + 0*y**2. Let q(w) = -368*w**2 + 320*w - 32. Let a(j) = -57*j**2 + 50*j - 5. Let n(m) = 32*a(m) - 5*q(m). What is r(n(z))? -1792*z**4 Let l(p) be the second derivative of 0*p**3 + 0*p**2 + 7/12*p**4 + 0 - 5*p. Let w(t) = 2*t - 10. Let r(z) = z - 6. Let u(i) = -5*r(i) + 3*w(i). Give l(u(c)). 7*c**2 Let k(s) = -14*s. Let v(m) = 41904*m**2 + 3 - m - 3 - 83542*m**2 + 41928*m**2. Determine k(v(i)). -4060*i**2 + 14*i Let b(r) = 2*r. Let j(v) = 2712171*v. Let p(y) = 643*y. Let u(g) = -6*j(g) + 25311*p(g). What is b(u(c))? 3894*c Let s(z) = -5*z**2 + 12196*z. Let l(b) = 65*b + 8. Give l(s(v)). -325*v**2 + 792740*v + 8 Let g(h) = -73979*h**2. Let m(w) = -2941*w. What is m(g(u))? 217572239*u**2 Suppose 2*r - 5*r = -2*d - 3, -2*r = 3*d - 15. Let o(c) = -3*c + d*c - 6*c + 5*c. Let q(m) = -2*m - 95. Give q(o(b)). 2*b - 95 Let o(m) = 3*m**2 + 13*m. Let l(s) be the first derivative of 32*s**2 + 4322. What is o(l(i))? 12288*i**2 + 832*i Let d(a) = -3 + 3 - a + 0. Let i(z) = 7*z**2 + 9*z - 3. Let s(g) = -8*g**2 - 12*g + 4. Let v(p) = -8*i(p) - 6*s(p). Calculate v(d(l)). -8*l**2 Let l(k) = -45*k - 1. Let y(j) be the third derivative of -1/30*j**5 + 0 + 0*j**4 + 5*j - 5*j**2 + 0*j**3. What is y(l(a))? -4050*a**2 - 180*a - 2 Let w(b) = 638*b**2 - 6*b. Let n(g) = -2*g - 54. Determine n(w(r)). -1276*r**2 + 12*r - 54 Let a(b) = -4*b**2 + b - 36361. Let c(j) = 85*j. Determine a(c(n)). -28900*n**2 + 85*n - 36361 Let f(v) = 1298*v**2 + v - 3. Let j(l) = -10*l**2 + 1. Let o(y) = -f(y) - 3*j(y). Let r(g) = -g. Give o(r(i)). -1268*i**2 + i Let r(l) = 123*l + 118*l - 3*l**2 + 116*l - 357*l. Let k(u) = 154*u. Calculate r(k(n)). -71148*n**2 Let a(p) = 142767372*p. Let b(n) = -2*n. Calculate b(a(t)). -285534744*t Let n(d) = -4*d**2. Let t(l) = l**2 - 11*l - 19149. Give t(n(f)). 16*f**4 + 44*f**2 - 19149 Let a(c) be the third derivative of c**5/30 + c**2. Let v(j) be the third derivative of 139*j**5/60 - 207*j**2 - 8*j + 9. What is v(a(g))? 556*g**4 Let o(u) = -129*u**2 + 35*u**2 + 149*u**2 + 130*u**2 + 246*u**2. Let n(c) = 3*c. Give n(o(w)). 1293*w**2 Let x(s) be the second derivative of 9*s**3/2 + 9680*s. Let q(v) = -v - 1. Let l(j) = -3*j**2 - 5*j - 5. Let c(b) = 2*l(b) - 10*q(b). Determine c(x(w)). -4374*w**2 Let t(j) = 983*j**2 - 81*j. Let n(h) = 250*h**2. Give t(n(s)). 61437500*s**4 - 20250*s**2 Suppose 0 = -14*d + 7*d + 14. Let u(q) = 22*q**d - 4*q**2 - 21*q**2. Let n(y) = 17*y**2. What is u(n(h))? -867*h**4 Let z(h) be the second derivative of 313*h**3/2 + 3*h + 640. Let s(m) = 7*m**2. Determine s(z(j)). 6172047*j**2 Let p(a) = -1015*a - 1025*a + 3058*a - 1022*a. Let i(b) = -7*b**2 - 4*b. Determine i(p(j)). -112*j**2 + 16*j Let x(d) = 2*d**2. Let q = -28 - -30. Let y(f) = 29*f**q - 112999*f + 112999*f. Determine x(y(c)). 1682*c**4 Let y(u) = 5048*u. Let s(n) = -34*n**2 + n + 8. Determine s(y(w)). -866398336*w**2 + 5048*w + 8 Let j(f) = 22*f - 54. Let y(p) = 65*p - 148. Let c(a) = 11*j(a) - 4*y(a). Let l(v) = -v. Calculate c(l(n)). 18*n - 2 Let o(q) be the second derivative of q**4/12 - 14656*q. Let t(h) = h + 2 - 4*h + 0*h. Calculate o(t(c)). 9*c**2 - 12*c + 4 Let i(s) be the first derivative of -s**4/6 - s - 40. Let p(k) be the first derivative of i(k). Let j(f) = -38*f. Calculate p(j(q)). -2888*q**2 Let q(y) = 20*y. Suppose 3 + 11 = d - 3*p, -2*p - 14 = -3*d. Let k(g) = 3*g**d - 28 + 55 - 27. What is q(k(x))? 60*x**2 Let j(k) be the third derivative of 2*k**4/3 - 2*k**2 - 19*k - 14. Let g(r) be the third derivative of r**5/60 - r**2. What is g(j(m))? 256*m**2 Let r(b) = -8242*b. Let s(l) = -1268*l**2. What is r(s(q))? 10450856*q**2 Let y(w) = 4*w. Let f(b) = -b**2 - 35205*b + 12. Calculate f(y(t)). -16*t**2 - 140820*t + 12 Let n(g) = 263866*g. Let c(r) = -82*r. Determine n(c(z)). -21637012*z Let s(n) = n. Let z(l) be the third derivative of 71*l**7/5040 + 47*l**5/60 - 2*l**2 - 5*l. Let g(k) be the third derivative of z(k). Determine s(g(q)). 71*q Let i(k) = -6*k + 2197. Let f(u) = -187*u**2 - u + 1. Determine i(f(n)). 1122*n**2 + 6*n + 2191 Let h(y) = 8*y**2. Let d(m) = 75*m**2 + 27*m - 54. Let l(p) = -p**2 + p - 2. Let a(g) = 4*d(g) - 108*l(g). Calculate h(a(t)). 1331712*t**4 Let i(q) = q + q - q + 0. Let h(c) be the third derivative of -c**7/840 - 17*c**5/6 - 20*c**2 - 5*c. Let j(w) be the third derivative of h(w). Give j(i(l)). -6*l Let f(c) = 4*c**2. Suppose 2*z - 1 = -z + o, -4*z - 12 = -4*o. Suppose 0 = 4*l + 2 - 6. Let n(q) = 0 + l - 1 - 2*q**z. What is f(n(u))? 16*u**4 Let s(o) be the second derivative of 23*o**3/6 - 2157*o + 2. Let a(w) = 2*w. Calculate a(s(i)). 46*i Let o(m) be the second derivative of -m**4/12 + m - 15. Let f(n) = 1438*n**2. Calculate o(f(q)). -2067844*q**4 Let f(q) = -9*q + 4. Let l(i) = -2*i + 1.
{ "pile_set_name": "DM Mathematics" }
+ 3*d - 4*d))*(-2*d + 9*d - 26*d + (0*d - d + 3*d)*(3 + 0 - 1)) + (1 + 2 - 4)*(2 - 2 - d**2) + 4*d**2 + 2*d**2 - 4*d**2. 78*d**2 Expand (-4 + 1 + 2)*(c**4 + c**4 + 3*c**4) + (0 + 0 - c)*(-2*c**3 - 3*c**3 + 4*c**3) - 2*c**4 + 21*c**4 - 5*c**4. 10*c**4 Expand (-4*t + 2*t - 10*t)*(t**2 + 1 - 1)*(-4*t + 2*t + 0*t). 24*t**4 Expand (-1 + 1 + 3)*(d**2 + 0 + 0)*(16*d - 11*d - 2 - 10*d). -15*d**3 - 6*d**2 Expand -2 - 2*m + 2 + (-2*m - 3 + 3)*(-3 + 6 - 1) + 3*m - 5*m + m + (4 - 7 + 4)*(46 - 46 - 10*m) + 2*m - m - 2*m. -18*m Expand (2*t + 0*t - t)*(t - t + 2*t**2)*(-27 + 5 - 1). -46*t**3 Expand 430388*u - 430388*u - 1153*u**2 + (4 + u - 4)*(2*u + 0*u - u). -1152*u**2 Expand (-o**2 - 3*o + 3*o)*(668*o**2 - 994*o**2 + 581*o**2). -255*o**4 Expand -22*w**3 + 34*w**4 - 33*w**4 + 37*w**3 + (4*w**3 - 4*w**3 + w**3)*(4*w - 3*w + 0*w) + 3*w + w**4 - 3*w. 3*w**4 + 15*w**3 Expand (-3*g + 5*g - g)*(-2 - 3 + 6)*(-452 + 419 - 315). -348*g Expand (-2*l**2 - 2*l + 2*l)*(152 - 22*l**2 - 152 + (l - l + 3*l)*(-l + 4*l - l)). 32*l**4 Expand 0*a**4 - 3*a**4 - a**4 + (0 - 4 + 3)*(0*a**4 + 3*a**4 - a**4) + 119*a**2 - 119*a**2 - 7*a**4. -13*a**4 Expand -63*a**2 + 92*a**2 - 27*a**2 + 50 - a**2 - 3*a**2 + 2*a**2 + (2 - 1 + 0)*(a**2 - 2*a**2 + 0*a**2) + 1 - 1 - a**2. -2*a**2 + 50 Expand (-y - 4*y + y)*(3 + 0 + 31). -136*y Expand (19094*i - 19094*i + 476*i**2 + 3*i + 2*i**2 - 3*i + (0*i - 2*i + 4*i)*(-i + 0*i - i))*(0*i + 3*i - i). 948*i**3 Expand -k**2 + k**3 + k**2 + (-3*k**3 + 2*k**3 + 0*k**3)*(4 - 6 + 0) + 258062*k - 258062*k - 394*k**3 + (2 - 2 + 2*k)*(0*k + 0*k - 2*k**2). -395*k**3 Expand (0 + y + 0)*(-4 + 5*y + 4) + (4*y + 0*y - 5*y)*(-4*y - 27*y - 3*y). 39*y**2 Expand (-2 + 1 - 1)*(-1 - 3 + 7)*(-p**3 + 5*p**3 - 3*p**3). -6*p**3 Expand (-103*f - 126*f - 38*f)*(2*f + f - f). -534*f**2 Expand (-2*i**2 + 3*i**2 + i**2)*(-2*i**2 - 8 + 8 + (0*i + i + i)*(i - 6*i + 3*i) - 5*i**2 + 2*i**2 + 6*i**2). -6*i**4 Expand (187 - 372 + 73*f**3 + 186 + 2*f)*(0*f + f - 2*f)*(-3 + 1 + 0). 146*f**4 + 4*f**2 + 2*f Expand (h**3 + 7*h - 7*h)*(-2*h + 6*h + 2*h). 6*h**4 Expand (-273*h - 77*h - 174*h)*(h**3 - 2*h**3 - h**3) - 5*h**4 + 2*h**4 + h**4. 1046*h**4 Expand (-28*j**5 - 3*j**5 + 7*j**5)*(-2 + 0 + 3 + (-2 + 4 - 1)*(2 - 1 - 3) - 4 + 0 + 5 + 1 - 4 + 2 - 4 + 5 - 3 + (-1 + 1 + 2)*(1 + 2 - 2) - 5 + 4 + 3). -24*j**5 Expand (14 - 14 + 2*m)*(2 - 2 - 2) + 6 - 22*m + 6*m + 14*m - 2*m. -8*m + 6 Expand 0*q + q + 2*q + (-36 + 60 - 99 - 46)*(-q - 4 + 4). 124*q Expand (3 + 2 - 4)*(-h**4 + 0*h**4 + 2*h**4) + ((4*h - 11*h + 3*h)*(2 + 0 - 3) + h + 0 + 0)*(0*h + 0*h - h**3). -4*h**4 Expand (7*d**2 + 37 - 2 - 5*d**2 - d)*(5*d - 5*d + 2*d)*(2 - d - 2). -4*d**4 + 2*d**3 - 70*d**2 Expand (2*s + 2*s + 0*s)*(10 - 10 + 14)*(-4 + 4 + 3*s). 168*s**2 Expand (13*x + 10*x + 0*x)*(-23 + 4*x**2 + 23). 92*x**3 Expand -88*w**3 - 2*w**5 - 36203 + 36203 + w + w**5 - w + (-w + 0*w - w)*(0*w**2 - 2*w**4 + 0*w**2) + 2*w**5 + w**5 - 5*w**5 + w**5 - w**5 + w**5. 2*w**5 - 88*w**3 Expand (3*t**2 + 2*t**2 - 3*t**2)*(t**2 + t**2 - t**2) - 14*t**4 - 22*t**4 + 2*t**4. -32*t**4 Expand -19*f - 65*f + 114*f + (-3 - 1 + 2)*(2*f - f + f) + 0 + 0 - f + 0*f - 2*f + 4*f + (1 - 1 + f)*(6 - 1 - 3). 29*f Expand -7*u**4 + 2*u**4 + 0*u**4 + (0 + 4*u + 0)*(4*u**3 + 2*u**2 - 2*u**2). 11*u**4 Expand (6*n - n - 4*n)*(3 - 2*n**2 - 3) + n**3 - 4*n**3 + 4*n**3 + (-4 - 3*n + 4)*(8*n**2 - 33*n**2 + 2*n**2). 68*n**3 Expand -4*r + 2*r**5 + 4*r + (-r**3 - r**2 + r**2)*(-4 - r**2 + 4) + r**5 + 2*r**5 - 2*r**5 + (0*r**2 + 3*r**2 - 4*r**2)*(17*r**3 + 78*r - 78*r). -13*r**5 Expand (-2*d - d + 5*d)*(3 - 3 + 2*d)*(-3*d**2 + 2*d**2 + 3*d**2) + d**4 - 6 + 6. 9*d**4 Expand (-16 + 16 - 5*f)*(3*f + 0 + 2 - 6). -15*f**2 + 20*f Expand (-106 - 60 + 0 + 1)*(2*f - f + 3*f). -660*f Expand (-3702*s**2 + 3*s**4 + 12*s + 3702*s**2)*(-2*s - 4*s + 4*s). -6*s**5 - 24*s**2 Expand (4 - 3*g - 4)*(g + 3*g - 5*g)*(-1 + 1 - 2*g)*(14 + 3 + 0). -102*g**3 Expand -1 - i + 1 + (2 - 2 + 1)*(-5*i + 4*i + 0*i) + 1 - i - 1 + 0 + i + 0 + 2086 - 4093 - 8*i + 2046. -10*i + 39 Expand (5*g + 2*g + 4*g)*(2*g - 7*g + 4*g) - 2*g**2 + 2 - 2. -13*g**2 Expand (-3 + 1 + 4)*(-992 + 992 + 175*p**2). 350*p**2 Expand (0*t + 0*t - 6*t**3)*(2*t + 5 - 5)*(9*t - 6 + 9*t - 21*t). 36*t**5 + 72*t**4 Expand (35*t**3 + 11*t**3 - 9*t**3)*(2*t + 10 + 5*t - 9*t). -74*t**4 + 370*t**3 Expand (-2 - 13 - 8 + (0 + 1 - 2)*(2 - 1 - 3))*(-4*n**4 - 3*n**4 + 0*n**4). 147*n**4 Expand (6 - 6 - 8*f**2)*(5 + 8 + 10 + 8). -248*f**2 Expand (-3*n + 5*n - 3*n)*(0 - 3 + 4)*(-616*n - 97285 + 97285). 616*n**2 Expand 2*w**3 - 3*w**3 + 3*w**3 + (2*w**3 - w**3 + 2*w**3)*(-7 + 5 - 12) + 3*w**3 - 2*w**3 - 2*w**3. -41*w**3 Expand (-11*i + 0*i + 5*i)*(-4*i**4 + 7*i**4 - i**4) - i**4 + i**4 - 2*i**5 + (4*i + 3*i - 4*i)*(0 - 4*i**4 + 1 + i**4). -23*i**5 + 3*i Expand (3*a**3 - 3*a**3 - 2*a**4)*(-3 + 1 + 3) + 0 + 0 - a**4 + (0*a + 4*a - 6*a)*(5*a**2 - 3*a**2 - a**2)*(-3 + 7*a + 3)*(-1 - 3 + 3). 11*a**4 Expand (9 - 12*y - 9)*((3*y**2 - 3 + 3)*(2*y - 2*y**2 - 2*y) - 2*y**4 + 4*y**4 + 0*y**4). 48*y**5 Expand (-68 - 88 + 22 - 12)*(-2*x + 3*x + x). -292*x Expand (1 - 4*m**2 - 1)*(-11*m + 47*m - 6*m). -120*m**3 Expand 7*v**3 - 4 + 4 + (5*v - 2*v - 5*v)*(-1 + 1 + 2*v**2). 3*v**3 Expand (7*a**2 - 2*a**2 + a**2)*(-52*a**3 + 221*a - 221*a + 3*a**3). -294*a**5 Expand (q - 7*q + 0*q)*(0 - 23 + 3) + 2*q + 2 - 2. 122*q Expand (35*a - 88*a - 39*a)*(1 - 1 + 1) - 3 - a + 3 + (3*a - 3*a + 2*a)*(3 - 2 - 2). -95*a Expand (-a**2 - a + a)*(-2 + 1 + 16)*(-3 + 5 - 6). 60*a**2 Expand -6*k**2 + k + 3*k**2 + 4*k**2 - 2*k**2 - 3*k**2 + 3*k**2 + (-2*k + k - k)*(6*k + 44*k + 65*k). -231*k**2 + k Expand (70*d - 70*d - 4*d + 15*d**3)*(0*d + 2*d + 0*d). 30*d**4 - 8*d**2 Expand (-2016 + 2016 + 4*k**2 + 4*k)*(3 - 3 + k**2). 4*k**4 + 4*k**3 Expand (-f + 2*f - 2*f)*((-2*f + 3*f - 3*f)*(0*f - 2*f + f) - 2*f**2 + f**2 - 2*f**2)*(-2 + 1 - 1)*(3 - 3 + 6*f). -12*f**4 Expand (1 + 3 - 2)*(-3*g - 2*g + 3*g) - 4*g + 5*g - 2*g - 7*g + 6*g + 6 - 3. -6*g + 3 Expand -2*r**4 - 4*r**4 + 5*r**4 - 44*r**4 - 1 + 42*r**4 + 7 + 2*r**4 - 1 + 1 + (2*r + 3*r - 3*r)*(r**3 + 2 - 2) + 7*r**4 + 11*r - 11*r. 8*r**4 + 6 Expand (-y - 2 + 2)*(3*y + 0*y - 4*y)*(10 - 5 - 1)*(2 - 5 + 2)*(3 + 1 - 3). -4*y**2 Expand (3 - 3 + 1)*(-d**3 + 0*d**2 + 0*d**2) + (3*d**3 - 5*d**3 + 0*d**3)*(0 - 4 + 2) + 10*d**3 + 299 - 299. 13*d**3 Expand (-1 - c + 1)*(0 - 2 - 2)*(2*c**2 - 4*c**2 + 13*c**2 + (-3*c + 3*c + 2*c)*(2*c + 5 - 5)). 60*c**3 Expand (51*x**3 - 27557*x + 5*x**4 + 27557*x)*(3 - 4 + 4). 15*x**4 + 153*x**3 Expand 2 - 2 - s**5 + 90*s**5 + 155*s**3 - 155*s**3 + (3*s**2 - s**2 + 0*s**2)*(-s**3 + 2*s**3 - 3*s**3). 85*s**5 Expand (-19 + 2*n + 19)*(4 + n - 4 + (-4*n - n + 3*n)*(-4 + 4 - 2) - 5*n + 0*n - 2*n). -4*n**2 Expand (o**2 - 3*o**2 + 3*o**2)*(0 + 37 + 35). 72*o**2 Expand (1 + 4*f + 7*f + 5*f)*(-7*f + 7*f - 22*f**4). -352*f**5 - 22*f**4 Expand (-3*j + 3*j - j**2)*(1 - 2 + 0) - 237*j**2 + 42*j**2 - 125*j**2. -319*j**2 Expand -716*w + 716*w - 122*w**2 + w**2 + 4*w**2 - 3*w**2 + (w + 0 + 0)*(2*w + 0*w - w) + 2*w**2 + w**2 - w**2 - 2*w**2 + 4*w**2 - w**2. -116*w**2 Expand (16*k**5 - 30*k**5 - 94*k**5)*(13 - 4 + 0 - 3). -648*k**5 Expand (1 - 1 + 2*p**2)*(-59*p**2 + 10*p**2 - 20*p**2). -138*p**4 Expand (4*f + f - 3*f)*((f - 6*f + 3*f)*(2 + 1 - 1) - 10*f + 8*f - 404 + 397) - 2*f**2 - f**2 + 4*f**2. -11*f**2 - 14*f Expand (1 - 1 + f)*(45 - 51 - 176)*(6*f - 4*f - f). -182*f**2 Expand (42*z**2 - 43*z**2 - 343*z - 281*z)*(-z**2 - z**2 + 3*z**2). -z**4 - 624*z**3 Expand (0*i**2 + 0*i**2 + 2*i**2)*(-4*i + i + 4*i) + (-3 - 35*i**3 + 37*i**3 + 50)*(2 - 1 + 1). 6*i**3 + 94 Expand -33*d - 42*d - 30*d - 3*d + (0 + 0 - d)*(2 + 2 - 3). -109*d Expand (2 - 3 - 3 + (3 - 5 + 0)*(1 + 0 - 3) + 1 + 0 + 0)*(3 - 3 + 3)*(-39 + 10*y + 39). 30*y Expand (-3*a - 6*a + 0*a)*(-2 + 0 + 3)*(-1 + 2 - 2)*(-2*a + 3*a - 5*a)*(1 + 2*a - 1). -72*a**3 Expand 3*b**3 - 4*b**3 + 2*b**3 + 2*b**3 + 0 + 0 + 0 + b**3 + 0 + (2*b**2 - 4*b**2 + b**2)*(2 + 2*b - 2) - 3*b**3 + 7*b**3 + b**3 - 4*b**3 + 4*b**3 - 2*b**3. 5*b**3 Expand (28*s**4 + 36*s**4 - 50*s**4)*(3*s - 2*s + 0*s)*(1 + 0 - 5). -56*s**5 Expand (18*p - 7*p**2 - 18*p)*(p**3 + 3*p**3 - 7*p**3) + (p**2 + 2*p**2 - p**2)*(-14 + 14 - p**3). 19*p**5 Expand (2*u**2 - 8*u**2 - 2*u**2)*(8*u**3 + 8*u**3 + 10*u**3). -208*u**5 Expand -26
{ "pile_set_name": "DM Mathematics" }
2 - 162*d + 44 What is the y'th term of -701521, -701555, -701589, -701623? -34*y - 701487 What is the x'th term of 2913, 2736, 2559? -177*x + 3090 What is the d'th term of -40750, -81355, -121960, -162565? -40605*d - 145 What is the q'th term of 196711422, 393422845, 590134268? 196711423*q - 1 What is the y'th term of 10801406, 10801404, 10801402, 10801400, 10801398, 10801396? -2*y + 10801408 What is the d'th term of -1320, -2124, -2872, -3534, -4080, -4480? 5*d**3 - 2*d**2 - 833*d - 490 What is the p'th term of 1112984, 1112809, 1112634, 1112459, 1112284? -175*p + 1113159 What is the b'th term of -6422, -7290, -8724, -10718, -13266, -16362? b**3 - 289*b**2 - 8*b - 6126 What is the n'th term of 34113, 34005, 33823, 33567, 33237? -37*n**2 + 3*n + 34147 What is the h'th term of 194642, 195072, 195502, 195932, 196362? 430*h + 194212 What is the h'th term of 637890, 1276901, 1915912, 2554923, 3193934? 639011*h - 1121 What is the y'th term of 640, 990, 1450, 2020, 2700? 55*y**2 + 185*y + 400 What is the p'th term of 2108, -1397, -4902? -3505*p + 5613 What is the y'th term of -5158, -6855, -9688, -13663, -18786? -y**3 - 562*y**2 - 4*y - 4591 What is the b'th term of -1875, -3865, -6095, -8685, -11755? -20*b**3 - 1850*b - 5 What is the w'th term of 1913, 3142, 4377, 5618, 6865, 8118, 9377? 3*w**2 + 1220*w + 690 What is the q'th term of -6908, -13686, -20226, -26414, -32136, -37278? 19*q**3 + 5*q**2 - 6926*q - 6 What is the q'th term of 7380, 12659, 17938, 23217? 5279*q + 2101 What is the g'th term of 13749, 28007, 42265, 56523, 70781, 85039? 14258*g - 509 What is the t'th term of 1720, 6885, 15566, 27835, 43764, 63425, 86890, 114231? 12*t**3 + 1686*t**2 + 23*t - 1 What is the f'th term of -3133, -6280, -9443, -12616, -15793? f**3 - 14*f**2 - 3112*f - 8 What is the l'th term of 302563, 605147, 907731? 302584*l - 21 What is the l'th term of -19844, -17846, -15848, -13850, -11852? 1998*l - 21842 What is the r'th term of -25247191, -25247185, -25247179, -25247173, -25247167? 6*r - 25247197 What is the o'th term of -16084, -32210, -48368, -64552, -80756, -96974, -113200? o**3 - 22*o**2 - 16067*o + 4 What is the b'th term of 44384, 177622, 399718, 710678, 1110508, 1599214, 2176802? b**3 + 44423*b**2 - 38*b - 2 What is the d'th term of -3478268, -3478260, -3478254, -3478250, -3478248, -3478248? -d**2 + 11*d - 3478278 What is the x'th term of 7781, 15773, 23971, 32369, 40961, 49741? -x**3 + 109*x**2 + 7672*x + 1 What is the j'th term of -23174897, -46349835, -69524775, -92699717? -j**2 - 23174935*j + 39 What is the r'th term of 88531542, 177063084, 265594626, 354126168? 88531542*r What is the x'th term of -43832, -88703, -134606, -181535, -229484, -278447? x**3 - 522*x**2 - 43312*x + 1 What is the w'th term of 127415, 251982, 376549, 501116, 625683, 750250? 124567*w + 2848 What is the n'th term of 248351, 496639, 744927, 993215? 248288*n + 63 What is the r'th term of 11819, 13676, 15535, 17396? r**2 + 1854*r + 9964 What is the j'th term of 30970, 115479, 256332, 453535, 707094, 1017015? j**3 + 28166*j**2 + 4*j + 2799 What is the j'th term of 312418, 2499459, 8435710, 19995775, 39054258, 67485763? 312434*j**3 + j**2 - 17 What is the z'th term of -35905430, -35905428, -35905426, -35905424, -35905422? 2*z - 35905432 What is the w'th term of -65483, -67337, -69191, -71045, -72899? -1854*w - 63629 What is the m'th term of -61015784, -122031572, -183047360, -244063148, -305078936? -61015788*m + 4 What is the h'th term of 2075, 8356, 18819, 33464, 52291, 75300? 2091*h**2 + 8*h - 24 What is the n'th term of -105486, -105500, -105514, -105528, -105542? -14*n - 105472 What is the y'th term of 3885, -2154, -12227, -26334, -44475, -66650, -92859? -2017*y**2 + 12*y + 5890 What is the t'th term of 13137928, 26275801, 39413674, 52551547, 65689420, 78827293? 13137873*t + 55 What is the m'th term of 105838, 212835, 319818, 426781, 533718, 640623? -m**3 - m**2 + 107007*m - 1167 What is the s'th term of -1241614, -4966457, -11174524, -19865809, -31040306, -44698009, -60838912, -79463009? s**3 - 1241618*s**2 + 4*s - 1 What is the i'th term of -633935, -633882, -633829, -633776, -633723, -633670? 53*i - 633988 What is the n'th term of 2204464451, 2204464455, 2204464461, 2204464469, 2204464479? n**2 + n + 2204464449 What is the v'th term of -6988, -10812, -14632, -18448, -22260, -26068? 2*v**2 - 3830*v - 3160 What is the l'th term of -447605, -895112, -1342619, -1790126? -447507*l - 98 What is the l'th term of 11785436, 11785499, 11785562, 11785625? 63*l + 11785373 What is the h'th term of 230594, 230648, 230702, 230756? 54*h + 230540 What is the v'th term of -64, -685, -2542, -6319, -12700, -22369, -36010, -54307? -114*v**3 + 66*v**2 - 21*v + 5 What is the k'th term of -51472, -55211, -58950, -62689? -3739*k - 47733 What is the t'th term of -3508516, -3508503, -3508500, -3508513, -3508548, -3508611? -t**3 + t**2 + 17*t - 3508533 What is the f'th term of 175, 2288, 8279, 20086, 39647? 323*f**3 + f**2 - 151*f + 2 What is the c'th term of 10599579, 21199159, 31798739? 10599580*c - 1 What is the z'th term of -1847, -3430, -5009, -6584, -8155, -9722, -11285? 2*z**2 - 1589*z - 260 What is the q'th term of 2625753, 5251510, 7877267? 2625757*q - 4 What is the b'th term of -1769322, -3538640, -5307958, -7077276, -8846594, -10615912? -1769318*b - 4 What is the a'th term of -396947, -396281, -395617, -394955? -a**2 + 669*a - 397615 What is the g'th term of 2147021, 2147020, 2147019, 2147018, 2147017, 2147016? -g + 2147022 What is the o'th term of -148203, -296416, -444627, -592842, -741067, -889308? -o**3 + 7*o**2 - 148227*o + 18 What is the a'th term of 10456090, 20912193, 31368296, 41824399, 52280502? 10456103*a - 13 What is the k'th term of 5066995, 5067001, 5067011, 5067025? 2*k**2 + 5066993 What is the p'th term of -68038, -72018, -75996, -79972, -83946? p**2 - 3983*p - 64056 What is the g'th term of 78, 1137, 4802, 12627, 26166, 46973? 259*g**3 - 251*g**2 - g + 71 What is the b'th term of 196647, 393308, 589969, 786630, 983291, 1179952? 196661*b - 14 What is the g'th term of -6619, -22041, -47731, -83683, -129891, -186349, -253051, -329991? g**3 - 5140*g**2 - 9*g - 1471 What is the g'th term of 291318129, 582636258, 873954389, 1165272522, 1456590657? g**2 + 291318126*g + 2 What is the h'th term of -18101172, -18101170, -18101168, -18101166, -18101164, -18101162? 2*h - 18101174 What is the h'th term of 224532, 448698, 672118, 894420, 1115232, 1334182, 1550898, 1765008? -62*h**3 - h**2 + 224603*h - 8 What is the b'th term of 1180, 4342, 12918, 29614, 57136, 98190, 155482, 231718? 451*b**3 + b**2 + 2*b + 726 What is the j'th term of -50879, -51051, -51221, -51389, -51555, -51719, -51881? j**2 - 175*j - 50705 What is the m'th term of 15277, -29345, -73965, -118583, -163199? m**2 - 44625*m + 59901 What is the a'th term of 27470, 28003, 28646, 29453, 30478, 31775, 33398, 35401? 9*a**3 + a**2 + 467*a + 26993 What is the o'th term of 49189, 98403, 147617, 196831, 246045? 49214*o - 25 What is the n'th term of 17305, 17346, 17351, 17302, 17181, 16970? -3*n**3 + 62*n + 17246 What is the n'th term of -4869671, -4869591, -4869457, -4869269, -4869027? 27*n**2 - n - 4869697 What is the r'th term of 16184, 32239, 48162, 63953, 79612? -66*r**2 + 16253*r - 3 What is the r'th term of -62990, -63057, -63124, -63191, -63258, -63325? -67*r - 62923 What is the v'th term of -59383, -235454, -528903, -939730? -58689*v**2 - 4*v - 690 What is the j'th term of -2092, -8643, -19604, -35011, -54900, -79307, -108268? -6*j**3 - 2169*j**2 - 2*j + 85 What is the s'th term of 57603, 115245, 172887, 230529? 57642*s - 39 What is the n'th term of 89474, 89455, 89436? -19*n + 89493 What is the g'th term of -9727113, -9727118, -9727123, -9727128? -5*g - 9727108 What is the z'th term of 3586, 14945, 33862, 60337? 3779*z**2 + 22*z - 215 What is the l'th term of -162225, -648916, -1460071, -2595690, -4055773? -162232*l**2 + 5*l + 2 What is the a'th term of 10007, 40139, 90373, 160721, 251195, 361807? 2*a**3 + 10039*a**2 + a - 35 What is the k'th term of 12410, 99678, 336612, 798044, 1558806, 2693730, 4277648, 6385392? 12472*k**3 + k**2 - 39*k - 24 What is the s'th term of -26947, -27590, -28233, -28876? -643*s - 26304 W
{ "pile_set_name": "DM Mathematics" }
= 16*t - 7*t. Is t a multiple of 46? True Suppose -4*n + 1536 + 10640 = 0. Does 147 divide n? False Let h be -2 + (-5 + 2)/3. Let x be (h - (-5 + 2))/(-1). Suppose x*a - a = -60. Is a a multiple of 12? True Let x be 2/2 - (-17 - (-21)/3). Suppose 2*f + x - 35 = 0. Is 12 a factor of f? True Does 25 divide (-21 + -4)/((5 - 1)/(-116))? True Suppose -4*v + 669 = -595. Suppose -v = -4*q + 504. Is q a multiple of 41? True Suppose 3*y = 2240 - 791. Does 3 divide y? True Suppose -2*g + 6*g - 109 = -i, 4*i - 5*g = 520. Let w be (-4)/(-18) + (1 - 5070/(-27)). Let d = w - i. Does 8 divide d? True Let f(w) = -85*w + 388. Does 62 divide f(-19)? False Suppose 2 = -a + 5. Let f(k) = -3 - 5*k + 5*k**2 + 2 - k + 4. Is 6 a factor of f(a)? True Suppose 0 = 2*y - 274 + 682. Does 15 divide 2/17 - 22416/y? False Let u = 6 - 6. Let t be (-1)/(-2)*(0 + u). Suppose -k + 4*r = -18, t*r = 4*r + 12. Is 4 a factor of k? False Suppose 10*z = 22 + 48. Suppose -z*p = -351 - 825. Is p a multiple of 14? True Suppose 0 = -z + 6*z - 185. Does 11 divide z? False Suppose -4*y + 3*q + 325 = -2*q, 3*y = -5*q + 270. Let u = y - -11. Is 24 a factor of u? True Let u = -298 - -461. Is 4 a factor of u? False Suppose -3*d + h + 13 = 0, 3*h = -4*d - h + 28. Let s be (8 - d) + -1*1. Suppose 4*l - i = 20, -4*l = s*i - 11 + 3. Is 2 a factor of l? True Let f(s) = s**3 + s**2 - 5. Let j be f(0). Let n be 1/j*-5 + 2. Suppose -k + n = -2. Is k a multiple of 5? True Let f be (-963)/15 + (-2)/(-40)*4. Is 17 a factor of (f/5)/((-1)/5)? False Let z(y) = -3*y**2 + 39*y - 66. Does 3 divide z(10)? True Suppose -35 = 247*a - 248*a. Suppose -209 + 1 = -4*f. Suppose b - a = f. Is b a multiple of 29? True Let l = 6 - -6. Suppose 0 = 11*s - l*s + 6. Is 6 a factor of s? True Let h(n) = -n**3 + 25*n**2 - 45*n + 26. Let q be h(23). Suppose 4*y = -4*t + 104, 4*t - y - 30 = q. Is t a multiple of 6? False Let p = -580 - -1009. Suppose 0 = -4*s + s + p. Let u = s - 83. Is u a multiple of 19? False Let y(t) = t**3 + 14*t**2 + 10*t + 9. Let m be y(-13). Let q = m - 7. Is q a multiple of 8? False Let b be (-9276)/(-30) + 3/(-15). Let x = b - 184. Is x a multiple of 25? True Let z = -197 - -468. Is z a multiple of 18? False Let j = 535 - 517. Is 6 a factor of j? True Let m = 746 + -361. Is m a multiple of 35? True Suppose 5*y + 0 = 25. Suppose -9*t = -y*t. Suppose t = 5*q - z - 120, -2*q = z + 4*z - 75. Is q a multiple of 21? False Suppose 214 = 16*w - 3098. Does 9 divide w? True Suppose -g + 12 = -s - 5*g, -4 = -4*s - 3*g. Suppose -s*l + 0*l = -140. Let t = 50 - l. Is t a multiple of 12? False Let j(o) = o**3 + 14*o**2 + 5*o - 42. Does 10 divide j(-11)? False Suppose 8*p - 95 = 13*p. Let s = p + 11. Does 33 divide s/32 + (-786)/(-8)? False Let f(a) = -a**3 - 7*a**2 + 8*a + 3. Let x be f(-8). Suppose z - 4*z + 17 = 2*y, -4*z + 23 = x*y. Does 3 divide z? False Let o(d) = -d**3 - 6*d**2 + 5*d + 18. Let n = -47 + 39. Is o(n) a multiple of 20? False Let q be (8/(-2))/16 - 2/(-8). Suppose 32*i - 29*i - 156 = q. Is i a multiple of 13? True Suppose 2*r + 3*z + 20 = -27, -3*z = -2*r - 77. Let o = 35 + r. Is o a multiple of 4? True Let c = 2792 - 1926. Is c a multiple of 41? False Let f = -366 + 450. Is f a multiple of 21? True Let o = 26 - 20. Let j be -15*((-26)/o + 4). Is 19 a factor of j/2*(0 - -28)? False Let i(b) = b**2 + 6*b + 8. Let a be i(-6). Let c(r) = -r**3 + 9*r**2 - 5*r + 16. Is c(a) a multiple of 5? True Suppose z - 3 = 16. Suppose -89 = -2*d + z. Is 9 a factor of d? True Suppose -4*j + 2*l = 7*l - 1209, -l = 5*j - 1485. Let n = -205 + j. Is 13 a factor of n? True Let v(a) = a**3 - 14*a**2 + 15*a - 7. Let i be v(13). Does 20 divide 36/8*(i + -3)? False Let k be (-4)/10 + ((-3612)/15)/(-7). Is -31 + k + (-342)/(-1) a multiple of 15? True Suppose 5*r = r - 24. Is -48*(-2)/(-8)*r a multiple of 24? True Suppose 0 = 2*q - 5 + 21. Let x = q - -11. Suppose -19 = -x*u + 2*u. Does 12 divide u? False Suppose 4*f - 2*x - x - 814 = 0, 2*x + 1021 = 5*f. Does 41 divide f? True Let i(f) = -f**2 - 7*f - 12. Let m be i(-4). Suppose m = a, 0 = -2*u + 3*u - 3*a - 114. Is 19 a factor of u? True Suppose 3*f - 6750 = -3*b, -3*b - 2*b - 4*f = -11247. Is 18 a factor of b? False Suppose 9*l = 5*l - 1188. Is 3 a factor of ((-1)/3)/(1191/l + 4)? True Let k(d) = 6*d + 18. Let r be k(-18). Let x = r + 171. Is x a multiple of 33? False Is 2709 + (8 - 118)/(-10) a multiple of 16? True Suppose 1470 = 5*y + 10*y. Is y a multiple of 6? False Let m(k) = 5*k**2 - 5*k - 5. Suppose u - 3*t = 1, -3*u - 3*t + 2*t = 7. Does 6 divide m(u)? False Let z(x) = x + 0*x - 16 + 5*x. Is z(11) a multiple of 30? False Suppose 3*t = t. Suppose 3*p - 8 = 4*v, p = -t*v + v + 1. Let b = p - -19. Is b a multiple of 7? False Let d(v) = v**3 + 11*v**2 - 3*v + 6. Suppose 72 - 32 = -8*c. Is 19 a factor of d(c)? True Suppose 0*c = 4*c - j - 868, 3*j - 666 = -3*c. Is c a multiple of 8? False Let r = 92 - 148. Let d = -31 - r. Does 3 divide d? False Let j(v) = 3*v**3 - 19*v**2 + 4*v + 2. Let t(x) = 7*x**3 - 39*x**2 + 9*x + 3. Let b(p) = -9*j(p) + 4*t(p). Let o be b(-15). Let z = o - -26. Does 10 divide z? True Let p(z) = -2*z**2 - 48*z - 28. Suppose 2*r + 7*h - 3*h + 18 = 0, -3*r = 2*h + 39. Is p(r) a multiple of 11? True Let b(u) = -11*u - 24. Let v = -3 - 7. Is b(v) a multiple of 22? False Let b(s) = -s**2 + 16*s - 15. Let y be b(15). Suppose y = 5*v - 287 - 133. Is 12 a factor of v? True Suppose -5*h + 3*q = -9119 - 1041, h - 5*q = 2010. Is h a multiple of 37? True Let h = -1422 + 1898. Does 34 divide h? True Suppose -4*u - 136 = 5*n, -79 = 3*u - 2*n - 0*n. Let f = -19 - u. Is (-191)/(-3) - f/15 a multiple of 28? False Suppose 4*f - 8*f = -24. Let r = f - 6. Suppose s + 4*s + 22 = n, r = -n - 2*s + 1. Does 3 divide n? False Let g = 200 + -137. Does 12 divide g? False Suppose -3*s + 3*h = h - 2007, -4*s - 2*h + 2662 = 0. Is s a multiple of 23? True Suppose o - 10 = -3*q, -4*q + 30 = -o - o. Suppose -3*m = 15, 8*k + q*m - 5 = 3*k. Let a(p) = -p**3 + 7*p**2 - 5*p + 3. Is a(k) a multiple of 3? True Let o = 1100 + -638. Suppose 0*p - o = -7*p. Is 22 a factor of p? True Is 55 a factor of 1270 + -1 + (-8)/32*16? True Suppose 5*w + 20 = 0, 4*w + 0*w = -2*o - 710. Let f = o - -537. Is 38 a factor of f? True Let s(l) = -2*l + 57. Let f be s(26). Suppose -2*a = -f*o - 68 - 21, 0 = -3*a + 3*o + 111. Does 7 divide a? False Suppose t - 5*b - 470 = 0, 8*t - b = 5*t + 1396. Does 5 divide t? True Let z(d) be the second derivative of d**4/3 + d**3/2 - d**2 + 4*d. Let y be z(1). Suppose 0 = -4*g + r + 108, 146 = 5*g - y*r + 11. Does 27 divide g? True Suppose -2*d - 3*y = -0*d - 49, y = -d + 27. Let n = d + -27. Is -2*((-95)/2)/n a multiple of 16? False Let n(r) = r + 8. Let u be n(-7). Is (6/(-10) + u)/(1/95) a multiple of 19? True Let f(a) = -a**2 + 36*a - 63. Is f(14) a multiple of 49? True Suppose 0 = 3*d - 2*d + j - 7, 3*d = -j + 17. Suppose -924 = 2*h - d*h. Suppose -10*f + 6*f = -h. Does 25 divide f? False Suppose 4*c = 7*c - 9. Let x(a) = 2*a**3 - 2*a**2 + 2*a - 2. Does 10 divide x(c)? True Suppose 5*m = 5 + 5. Suppose 4*p = -16, -4*v = 7*p - m*p - 232. Does 7 divide v? True Let s(u) = 15*u - 20. Let f be (-10)/3*24/(-20). Is s(f) even? True Let h(w) = 3*w**2 - 30*w + 17. Let u be h(10). Let y(k) = -3*k + 3. Let o be y(2). Let n = o + u. Is n a multiple of 9? False Let x(w) = w**3 + 18*w**2 + 15*w - 34. Let l be x(-17). Suppose l = 2*k - 557 + 129. Is 11 a factor of k? False Let g be -7 - -8 - (2 - 5). Suppose 0 = g*w + 5*b - 173, -3*w + 135 = -0*w + 2*b. Is w a multiple of 15? False Let b = -11 + 13. Suppose -b*r - 133 = -7. Let w = -29 - r. Is w a multiple of 17? True Suppose -4*o + g - 4*g = 13, -o - 1 = 3*g. Is 9 a factor of (24/5)/(o/(-60))? True Suppose -5 + 1 = 4*i, 4*k - 3*i = 291. Is k a multiple of 8? True Let r(u) = -3 - 2*u - u + 5 + 2. Let g be r(-8). Suppose -5*z = -f + 14, 10 + g = 4*f - 2*z. Is 9 a factor of f? True Let i(m) be the third derivative of m**5/60 + 11*m**3/6 + 14*m**2 - 9. Let w be 1/(-1*2/(-10)). Is 15 a factor of i(w)? False Let q be (-5)/((-10)/6) + -7. Let o be (13 + 1)/((-2)/q). Suppose -188 + o = -5*d. Does 32 divide d? True Suppose 1987 = 2*n - 5*s, -n + 9*s + 1001 = 4*s. Does 34 divide n? True Let x(n) = -n**3 - 8*n**2 + 3*n + 26. Let t be -7
{ "pile_set_name": "DM Mathematics" }
1, 33391 List the prime factors of 158202. 2, 3, 11, 17, 47 List the prime factors of 2044842. 2, 3, 37, 61, 151 What are the prime factors of 33128? 2, 41, 101 List the prime factors of 981678. 2, 3, 163613 List the prime factors of 3911413. 11, 73, 4871 List the prime factors of 3096490. 2, 5, 23, 13463 What are the prime factors of 11360351? 11360351 What are the prime factors of 10359823? 71, 79, 1847 List the prime factors of 177784. 2, 71, 313 List the prime factors of 4259389. 4259389 What are the prime factors of 159400? 2, 5, 797 What are the prime factors of 8434577? 631, 13367 What are the prime factors of 8084? 2, 43, 47 What are the prime factors of 109318? 2, 11, 4969 List the prime factors of 1217009. 1217009 What are the prime factors of 4973927? 7, 710561 What are the prime factors of 874677? 3, 291559 List the prime factors of 1787386. 2, 29, 30817 List the prime factors of 12750. 2, 3, 5, 17 List the prime factors of 192330. 2, 3, 5, 2137 List the prime factors of 318133. 79, 4027 List the prime factors of 865287. 3, 79, 1217 List the prime factors of 612716. 2, 13, 11783 List the prime factors of 2719715. 5, 103, 5281 List the prime factors of 34466309. 34466309 What are the prime factors of 243256? 2, 13, 2339 What are the prime factors of 12974945? 5, 2594989 List the prime factors of 242278. 2, 121139 List the prime factors of 173545. 5, 61, 569 What are the prime factors of 5705287? 7, 397, 2053 List the prime factors of 2041011. 3, 7, 10799 List the prime factors of 501753. 3, 7, 23893 List the prime factors of 3912041. 7, 558863 What are the prime factors of 809038? 2, 31, 13049 List the prime factors of 23383297. 7, 37, 137, 659 List the prime factors of 524630. 2, 5, 23, 2281 List the prime factors of 96990. 2, 3, 5, 53, 61 List the prime factors of 23082190. 2, 5, 2308219 List the prime factors of 495252. 2, 3, 13757 List the prime factors of 118061. 118061 List the prime factors of 957727. 743, 1289 List the prime factors of 5212995. 3, 5, 347533 What are the prime factors of 548825? 5, 29, 757 What are the prime factors of 14354375? 5, 7, 17, 193 What are the prime factors of 11986943? 83, 139, 1039 What are the prime factors of 140825? 5, 43, 131 List the prime factors of 354131. 23, 89, 173 What are the prime factors of 1557012? 2, 3, 19, 6829 What are the prime factors of 3380474? 2, 347, 4871 List the prime factors of 2549434. 2, 61, 20897 What are the prime factors of 18663545? 5, 73, 51133 What are the prime factors of 94886? 2, 11, 19, 227 List the prime factors of 6898338. 2, 3, 127747 List the prime factors of 341631. 3, 12653 What are the prime factors of 10955041? 10955041 What are the prime factors of 415708? 2, 103, 1009 What are the prime factors of 545265? 3, 5, 7, 577 List the prime factors of 1139257. 7, 162751 What are the prime factors of 1070516? 2, 267629 List the prime factors of 853875. 3, 5, 11, 23 List the prime factors of 8123088. 2, 3, 229, 739 What are the prime factors of 407645? 5, 7, 19, 613 List the prime factors of 35197. 61, 577 List the prime factors of 1864137. 3, 11, 56489 List the prime factors of 4863945. 3, 5, 43, 7541 List the prime factors of 14299. 79, 181 What are the prime factors of 142019? 142019 What are the prime factors of 6701095? 5, 331, 4049 What are the prime factors of 1095009? 3, 365003 What are the prime factors of 2669444? 2, 667361 What are the prime factors of 7627752? 2, 3, 11, 9631 List the prime factors of 762123. 3, 254041 List the prime factors of 5558062. 2, 2779031 List the prime factors of 1580104. 2, 263, 751 List the prime factors of 889225. 5, 35569 List the prime factors of 351523. 157, 2239 What are the prime factors of 13375882? 2, 13, 151, 3407 What are the prime factors of 155335? 5, 47, 661 What are the prime factors of 3016051? 3016051 List the prime factors of 219905. 5, 7, 61, 103 List the prime factors of 81133. 13, 79 What are the prime factors of 4327071? 3, 7, 206051 What are the prime factors of 22465? 5, 4493 What are the prime factors of 31135719? 3, 1171, 8863 What are the prime factors of 277848? 2, 3, 17, 227 List the prime factors of 7487830. 2, 5, 7, 41, 2609 List the prime factors of 520258. 2, 19, 13691 List the prime factors of 23932. 2, 31, 193 What are the prime factors of 19123? 13, 1471 List the prime factors of 521032. 2, 65129 What are the prime factors of 9623854? 2, 4811927 What are the prime factors of 6460001? 41, 157561 List the prime factors of 209944. 2, 7, 23, 163 List the prime factors of 1950940. 2, 5, 97547 What are the prime factors of 1100721? 3, 366907 What are the prime factors of 1624082? 2, 19, 79, 541 What are the prime factors of 3550186? 2, 853, 2081 List the prime factors of 599171. 359, 1669 List the prime factors of 143217. 3, 15913 List the prime factors of 5635. 5, 7, 23 What are the prime factors of 73924? 2, 18481 List the prime factors of 511492. 2, 127873 List the prime factors of 1372025. 5, 54881 List the prime factors of 480521. 480521 What are the prime factors of 16425981? 3, 11, 13, 12763 List the prime factors of 61486. 2, 71, 433 List the prime factors of 666119. 666119 List the prime factors of 3426105. 3, 5, 71, 3217 What are the prime factors of 556351? 556351 List the prime factors of 465919. 17, 27407 List the prime factors of 8898048. 2, 3, 1931 List the prime factors of 889724. 2, 11, 73, 277 List the prime factors of 4990084. 2, 11, 19, 47, 127 What are the prime factors of 797329? 13, 61333 What are the prime factors of 10990669? 10990669 What are the prime factors of 184256? 2, 2879 List the prime factors of 539352. 2, 3, 11, 227 What are the prime factors of 924323? 924323 What are the prime factors of 102618? 2, 3, 5701 What are the prime factors of 1401353? 61, 22973 What are the prime factors of 90143? 109, 827 List the prime factors of 306280. 2, 5, 13, 19, 31 List the prime factors of 1365428. 2, 341357 List the prime factors of 5524134. 2, 3, 7, 11, 1087 List the prime factors of 178204. 2, 13, 23, 149 List the prime factors of 166813. 107, 1559 What are the prime factors of 503960? 2, 5, 43, 293 List the prime factors of 12228202. 2, 7, 17, 191, 269 List the prime factors of 535310. 2, 5, 199, 269 List the prime factors of 2303002. 2, 13, 101, 877 List the prime factors of 10678518. 2, 3, 593251 What are the prime factors of 691900? 2, 5, 11, 17, 37 List the prime factors of 850408. 2, 13, 17, 37 What are the prime factors of 1317071? 7, 26879 What are the prime factors of 434483? 7, 8867 What are the prime factors of 23145? 3, 5, 1543 What are the prime factors of 1114018? 2, 653, 853 List the prime factors of 284422. 2, 142211 List the prime factors of 310061. 19, 16319 What are the prime factors of 18041571? 3, 53, 109, 347 What are the prime factors of 751926? 2, 3, 7, 17903 List the prime factors of 148945. 5, 29789 List the prime factors of 27391141. 19, 67, 21517 List the prime factors of 25230269. 251, 100519 List the prime factors of 132668. 2, 17, 1951 List the prime factors of 214335. 3, 5, 11, 433 List the prime factors of 3133172. 2, 7, 149, 751 List the prime factors of 265690. 2, 5, 163 List the prime factors of 459395. 5, 139, 661 List the prime factors of 422041. 422041 List the prime factors of 5288695. 5, 1057739 What are the prime factors of 4454931? 3, 13, 114229 List the prime factors of 105390. 2, 3, 5, 1171 What are the prime factors of 229249? 229249 What are the prime factors of 555273? 3, 103, 599 What are the prime factors of 451305? 3, 5, 3343 List the prime factors of 182300. 2, 5, 1823 What are the prime factors of 3662648? 2, 11, 41621 List the prime factors of 3480543. 3, 11, 11719 What are the prime factors of 388641? 3, 11, 11777 What are the prime factors of 1911243? 3, 31, 20551 List the prime factors of 15261750. 2, 3, 5, 7, 17, 19 What are the prime factors of 1507510? 2, 5, 233, 647 List the prime factors of 111196. 2, 27799 List the prime factors of 18866129. 47, 401407 List the prime factors of 4603200. 2, 3, 5, 7, 137 What are the prime factors of 3347577? 3, 431, 863 What are the prime factors of 5460146? 2, 157, 17389 List the prime factors of 90919. 23, 59, 67 List the prime factors of 8544336. 2, 3, 17, 37, 2
{ "pile_set_name": "DM Mathematics" }
Is -11 <= p? False Let j = -21 - -57. Let d = j + -33. Suppose 2*c = a + 12, a + 20 = 2*c + 2*c. Are c and d equal? False Let a = 95 + -95.1. Which is smaller: -1/43 or a? a Let n be (18 - 15) + (-18)/2. Let w be 2/n*(-96)/72. Let j be (2/(-4))/(4/(-8)). Is j greater than w? True Suppose 0 = 32*a + 226 + 222. Which is greater: -0.03 or a? -0.03 Suppose -5*y + 15 = -0*y. Let q = 43 + -37. Suppose 0*z = y*z + q. Which is smaller: z or -6/11? z Let o = 21 + -1. Which is smaller: o or 8? 8 Suppose 0 = f - 3*j - 11, f + 4*f + 3*j = -17. Is 4/745 <= f? False Suppose -581 = 5*f + 4*l + 458, 3*f + 4*l + 617 = 0. Does 0.5 = f? False Let u = -37 - -127. Are u and 92 unequal? True Suppose -5*g - 60 = -5*b, 4*b - 65 - 1 = -2*g. Which is bigger: b or 1/8? b Let w = 25 - 21. Let s be -4*w/(-4) - -1. Let j be ((3 - s) + 1)*-11. Do j and 10 have the same value? False Let d = -241185/13 - -20961307/1131. Let p = 58/3 + d. Let b = -4 - -5. Is b greater than p? True Let o be 8 + -16 - (-15 - -799). Is -792 less than o? False Let n = 4791.7 - 4792. Let b(j) = -j + 4. Let c be b(5). Let a be 3/(-15) + c + 1. Which is greater: a or n? a Let f(d) = -d**3 - 3*d**2 - d - 3. Let b be f(-3). Let n be (-15)/(-8)*(-5)/315. Let w = -11/24 - n. Is b at least as big as w? True Let r(t) = t**2 - 7*t - 9. Suppose 6 = 4*l - 18. Let y be r(l). Which is greater: -27/2 or y? -27/2 Let s(k) = k**3 - 6*k**2 + k + 22. Let o be s(5). Let b be ((-28)/49)/(o/7). Is -27/10 at least b? False Let m = -14.7 + 14.7. Which is smaller: m or 0.32? m Let x(l) be the second derivative of -l**4/12 + 7*l**3/6 - 11*l**2/2 + l. Let z(c) = 76*c + 308. Let f be z(-4). Let q be x(f). Are -2 and q nonequal? True Let n(p) = -p**2 + 2*p + 1. Suppose -4*r - 2*s = 2, -3*r + 2*s - 3*s - 3 = 0. Let u be n(r). Let k(t) = 3*t + 4. Let v be k(-4). Which is bigger: u or v? u Let v be 185/(-225) + 1 + 0. Let a = 10565347934/1935 - 5460128. Let y = v - a. Is y at most as big as 0? False Let z = 7466/5 - 1506. Let y = 438/35 + z. Let x = 7 - 1. Is y at most as big as x? True Let m(j) = j - 4. Let w(p) = 1. Let q(t) = m(t) - 4*w(t). Let x be q(4). Let z be x - (1 - 3)*2. Does z = -4/13? False Let n = 503 - 501. Which is greater: n or -136? n Suppose 4*n + 3276 = -0*n. Let d = n - -9021/11. Is 0 at least d? False Suppose 0 = 3*j - 8*j + 65. Which is smaller: -1/6 or j? -1/6 Suppose -z + 0 + 3 = 0. Suppose -51 = 3*r - z. Is -15 greater than r? True Let y = -13 + 12. Let o be y + (48/21)/2. Suppose -2*u - 3*h = 0, 0 = 4*u + 2*h - 6*h. Which is bigger: u or o? o Let i = -17.37 - -0.17. Let f = -16 - i. Let y = 1 - f. Which is greater: 2/7 or y? 2/7 Let h(f) = -38*f + 4. Let r be h(1). Let q be 247/(-7) + 2/7. Is q >= r? False Let b = 518 - 517.8. Is b < 127? True Let q be 4/10 + (-3)/(-5). Let r(d) = 4*d. Let p be r(1). Let z be 22/(-28) + 2/p. Which is greater: q or z? q Let h = -2 + 1. Let i be (4/10)/((-1)/h). Let a(c) = -11*c + 10. Let l be a(1). Is l smaller than i? True Let l be 1 - (1 - 2/(-757)). Is l > 0? False Let k be 4*(-2)/(-20)*-5. Let w be 8/56*4*k. Suppose 4*j + 1 = 4*d - 3, 2*j = -6. Is d bigger than w? False Let g = 10 - 9.6. Let h = g + 0.8. Let q = -1 + h. Does q = -1? False Let i be (6/2)/1 + 3. Suppose -2*t - 5 = 5. Let m be ((-12)/t)/((-12)/(-30)). Is i equal to m? True Suppose -3*j - 7*h + 331 = -3*h, -4*j + 3*h + 458 = 0. Let u = j + -113. Which is smaller: u or 1/35? u Suppose 4*n = 20 + 20. Let s(k) = k + 6. Let u be s(5). Suppose n*x = u*x. Which is smaller: 1/2 or x? x Let g(y) = -y - 21. Suppose -14 - 118 = 6*c. Let n be g(c). Which is greater: -119 or n? n Let m = -11 - -6. Let k be 30/12*8/(-5). Let f be m/4 - k/16. Which is bigger: f or 2? 2 Let i be 187311/225 - 3*5/45. Let f = i + -832. Which is bigger: 1 or f? 1 Let o = 10.36 - 9.26. Does 10 = o? False Let u = 1 - 1. Suppose 5*f - 7*f - 2 = u. Let t be -11 - ((1 - f) + -3). Which is smaller: t or -11? -11 Let z = 1333/56 + -107/8. Is z > 10? True Let w(n) = -2*n**2 + 3*n + 38. Let i be w(7). Which is smaller: -32 or i? i Let o = 263/3 + -88. Let m = -28 - -29. Which is bigger: o or m? m Let m = -30.9581 + 0.0581. Let d = -4.9 - m. Let t = -25 + d. Are t and 3/5 unequal? True Let g(h) = h**3 - h**2 + 3*h + 27. Let y be g(0). Is -5 <= y? True Let k(o) = 9*o - 136. Let z be k(15). Which is bigger: z or -4/47? -4/47 Let n(y) = y**2 + 5*y - 6. Let b be n(-5). Let x be ((-36)/(-10))/(b/20). Which is bigger: x or 1? 1 Let f(d) = -d**3 - d**2 + 8*d - 1. Let c be f(3). Let g be 1 - 28/c - (-6 + 9). Suppose -h - 8 = -5*w + 10, -6 = h - 2*w. Which is smaller: h or g? g Let l = 0.05 + 11.15. Let c = l - 11. Which is smaller: c or 2/7? c Let l = 425 - 426. Which is smaller: l or -14/9? -14/9 Suppose 0*v - 3*v - 9 = 0, -12 = -3*u + 5*v. Let f be ((-25)/(-495))/u - 2/9. Let y = 0 + 1. Which is smaller: y or f? f Suppose 50*g - 54*g = -160. Let o = 36 - g. Is -0.5 at most as big as o? False Let i(x) = x**2 + 6*x - 1. Suppose 3*m - 4*m - 6 = 0. Let b be i(m). Let l = -301 + 293. Is l bigger than b? False Let w be 1 - (-66)/(-54) - (-2860)/(-9). Is w at least as big as -319? True Let z = -16.4 - -12.7. Let i = -7.7 - z. Which is greater: 0.1 or i? 0.1 Let v be -2*((-21)/(-24))/((-8)/(-32)). Suppose 5 + 3 = 4*n. Suppose -n*s = 2*s. Is s != v? True Suppose -4 = -5*s + 4*q + 8, -15 = 3*s + 5*q. Which is greater: 4/239 or s? 4/239 Let u = 96 + 4. Suppose -7*p - u = -3*p. Let f be 1323/(-56) - 12/32. Is f greater than or equal to p? True Suppose 0 = -i - 2*i + 63. Let w be ((-9)/(-84))/(i/(-12) + 2). Suppose 0*v = 4*v + 5*p - 14, -2*v - p + 4 = 0. Which is bigger: v or w? v Suppose 11 = -2*m - k - 37, -3*k - 52 = 2*m. Let d = 23 + m. Which is smaller: -5/9 or d? -5/9 Suppose -5*s - 1 = 5*q + 44, -2*s - 13 = q. Let z = s + 9. Suppose 0 = -3*p + 5*j, 4*j = -z*p - 0*p. Is 3/8 at most p? False Let l be (-1)/((-30)/1876) + 15/9. Is l smaller than 65? True Let w = 645 + -613. Which is smaller: -5 or w? -5 Let t = -6.1 + 18.6. Let p = t - -0.5. Let s = p + -7. Which is greater: s or 1? s Let t = -241/1920 - 1/128. Let m be 22/55 - 26/(-10). Suppose 0*u + m*u + 3 = 0. Is t less than u? False Let r be (-10)/((-280)/54) - 2. Let b = -2 + 1. Which is smaller: b or r? b Let x(l) = l + 3. Let z be x(-3). Let o = 3190/1271 + -91/41. Let y = 145/713 - o. Are z and y non-equal? True Let k be (-214)/(-2) + -2 + 4. Let o = -331/3 + k. Suppose 3*x - 17 = -5*z, 2*x = -15*z + 10*z + 18. Which is smaller: x or o? o Let l(f) = f**3 + 7*f**2 + 5*f + 4. Let h be l(-5). Let u = h - 71. Let d be 4/(-15)*(-140)/u. Do d and 0 have the same value? False Let g = -73.9 + 77.9. Is 1/171 > g? False Let f = 17 + 7. Which is smaller: f or -3? -3 Let g(k) = -2*k**2 + 25*k - 23. Let n be g(8). Is n greater than or equal to 50? False Let v(h) = h**2 - 3*h - 69. Let g be v(10). Which is smaller: g or -2/581? -2/581 Let d = -3 - -3. Let u(k) = -2*k - 3. Let x be u(-4). Suppose -4*t - 5*j - 18 = 0, -x*j + 1 = -t + 9. Which is greater: d or t? d Let c = 185/721 - -3/103. Let u be (-4)/16 - 51/(-12). Suppose 0*q - u*q - 81 = m, -5*q - 5*m = 120. Is c >= q? True Let i = -7 - -9. Let p = -0.34 - -4.34. Let g = i - p. Are g and -1/3 non-equal? True Let i(g) = -2*g + 4. Let h be i(4). Let q = 0 - h. Suppose 0 = -6*r + q*r. Which is smaller: -8/7 or r? -8/7 Let h be -1 + -1 + 55/11. Suppose -6 + 0 = -2*u - x, 2*u - 6 = 5*x. Does u = h? True Let m = -6.9 + 0.9. Let x(d) = -23*d - 113. Let p be x(-5). Which is greater: p or m? p Suppose -244 + 620 = -4*z. Let q be 3/2*(-71 - -9). Is z at least q? False Let i be (-2)/3 - 84/63. Which is smaller: -8/11 or i? i Let i(t) = -2*t**2 + 43*t + 120. Let n be i(24). Is n less than -5/176? False Let j = 702.7 + -692. Is 1 > j? False Let g be ((0/(-1))/(-1))/(110/110). Is g greater than 6/77? False Suppose 0 = 3*o - 1 - 2. Let u be o/(-14)*18 + (-4)/(-14). Which is smaller: u or 2/5? u Let g be 1/1 - 1 - -1. Let r = 35/458 - -1199/2290. Which is greater: r or g? g Let l(t) = -t**3 + 5*t**2 - 3*t + 7. Let s be l(5). Let v be s/(-5) + -1 - (-6)/(-10). Are v and -0.001 nonequal? True Let u = -1604 + 1586. Which is smaller: u or 0.7? u Let h(o) = o + 3. Let k be h(-3). Let v be 1 + (k/(-2) - 11). Let z be ((-432)/120)/(-9) - (1 - 47/(-5)). Is v bigger than z? False Let
{ "pile_set_name": "DM Mathematics" }
- x**2 + 1 wrt x? 4992*x Suppose 0 = -7*k - 2*k + 72. What is the second derivative of -20 + 274*c**5 + 92*c + 18 - k*c + 40*c + 52*c**5 wrt c? 6520*c**3 Let a = -15470 + 15483. Let s(g) be the second derivative of a*g + 0 + 0*g**3 + 13/10*g**5 + 0*g**4 - 1/2*g**2. Differentiate s(f) with respect to f. 78*f**2 Differentiate -1386 + 832*p**3 - 872*p**4 - 1629*p**3 + 797*p**3 wrt p. -3488*p**3 Let m = 48 - 43. What is the second derivative of 5 + t**3 - t**3 - 4*t**5 + 7*t**m - 15*t - 57*t**5 wrt t? -1080*t**3 Let h(x) be the second derivative of 296*x**5/5 + 427*x**2/2 + 487*x. What is the first derivative of h(o) wrt o? 3552*o**2 Suppose -3*d + 184 = 4*z, 3*z = 4*d - 116 - 96. Suppose -5*q = 2*q - d. Find the first derivative of q - 14*p**2 + 3*p**2 - 10 wrt p. -22*p Let a be (-3)/(3 + 40/(-13)). Suppose 30 = -12*g + 15*g. Find the third derivative of -37*k**2 + g*k**6 + 22*k**6 + a*k**2 wrt k. 3840*k**3 Suppose 2*s - 3*s + 2 = 0. What is the third derivative of -40393*p**s + 3*p + 40398*p**2 - 52*p**5 + 24*p wrt p? -3120*p**2 Let j be ((480/9)/2)/(12/180). What is the second derivative of 86*z - 46*z**2 + 1 - j*z**4 + 397*z**4 - 1 wrt z? -36*z**2 - 92 Let g(b) be the first derivative of 2*b**5/5 - 88*b**4 - 1078*b**3 + 910. What is the third derivative of g(y) wrt y? 48*y - 2112 Let t(g) be the second derivative of -4951*g**4/12 + 4721*g**2/2 - 28*g. Differentiate t(h) with respect to h. -9902*h Let j be (-6)/((-48)/40)*2/2. Find the third derivative of -44*p**2 - 47 - 51 + 98 + j*p**3 wrt p. 30 Suppose 0 = 10*g + 2 - 42. Find the third derivative of 28*o**g + 106*o - 106*o - 23*o**2 wrt o. 672*o Let j(o) be the first derivative of 89*o**7/7 + 2*o**5/5 - 2*o**3 - 43*o**2/2 + 399. Find the third derivative of j(b) wrt b. 10680*b**3 + 48*b Let m(h) be the second derivative of h**8/28 + 9*h**5/10 + h**4/4 - 10*h**3 + 241*h + 1. Find the third derivative of m(t) wrt t. 240*t**3 + 108 What is the derivative of 108 - 1763 - 512*z**3 - 2382*z**3 - 1033*z**3 wrt z? -11781*z**2 Let l(y) = 589*y**4 + 10*y**2 - 20*y - 1177. Let j(k) = -2*k**2 + 4*k. Let p(u) = -5*j(u) - l(u). What is the derivative of p(h) wrt h? -2356*h**3 Let p(k) = -4*k - 6. Suppose 0 = 4*t + 2*c, 3*c - 2 = -5*t - 0. Let u be p(t). Find the first derivative of v**4 - 3*v**u + 18*v**4 + 3*v**2 + 4 wrt v. 76*v**3 Let w(o) be the first derivative of -983*o**3/3 - o**2/2 + 1137*o + 837. Find the second derivative of w(l) wrt l. -1966 Let r(x) be the first derivative of -113*x**6/2 + x**4/2 - 292*x**3/3 - 1307. What is the third derivative of r(p) wrt p? -20340*p**2 + 12 What is the third derivative of -6*l**3 + 1413 - 54*l**4 + 138*l**4 + 5*l**3 - 1413 - 799*l**2 wrt l? 2016*l - 6 Let x(y) be the second derivative of -137*y + 115 - 117*y**2 + 14*y**5 + y**5 + 135*y. Find the first derivative of x(t) wrt t. 900*t**2 What is the second derivative of 14*q**2 - 241*q**4 + 34755*q - 14741*q - 13603*q wrt q? -2892*q**2 + 28 Let b(u) = -87*u - 36. Suppose -1 + 25 = -4*y. Let k be b(y). What is the derivative of -6*p**2 - 4*p**2 + k - 496 wrt p? -20*p Let h(d) be the first derivative of -4*d**5/5 + d**4/4 + 41*d**2 + 216*d + 255. Let j(q) be the first derivative of h(q). Differentiate j(k) with respect to k. -48*k**2 + 6*k Let z(g) be the third derivative of -757*g**9/252 + g**5/15 + 209*g**3/3 - 2148*g**2. Find the third derivative of z(d) wrt d. -181680*d**3 Let m(i) be the second derivative of 105/2*i**2 + 0*i**4 - 31/30*i**6 + 36*i - 2 + 0*i**3 + 0*i**5. Find the first derivative of m(q) wrt q. -124*q**3 Let s(v) = v**3 + 6*v**2 + 5*v + 4. Let o be s(-5). Suppose -u - 24 = -216. Differentiate -23 - 192*w**2 + u*w**2 + 11*w**o wrt w. 44*w**3 Let j = 3 - 6. Suppose -345 = 16*c - 9. Let r(z) = -3*z - 14. Let s(q) = q + 1. Let i(w) = c*s(w) + j*r(w). What is the derivative of i(x) wrt x? -12 Differentiate -18*b - 1253 + 84*b - 23*b - 11*b with respect to b. 32 Let g(w) be the third derivative of 986*w**7/105 - 97*w**5/60 - w**3/3 - 6*w**2 + 16*w. What is the third derivative of g(x) wrt x? 47328*x Let z(f) = f**3 + 5*f**2 - 13*f + 14. Let d be z(-6). Differentiate -d*a**2 - 33 + 10*a**2 + 55 + 51 wrt a. -92*a Let r(j) be the second derivative of 0*j**6 + 0*j**5 + 11/6*j**7 + 1 + 0*j**2 - 2*j - 37/3*j**3 + 0*j**4. Find the second derivative of r(n) wrt n. 1540*n**3 Let j(x) be the second derivative of -551*x**4/4 - 236*x**3 + 3*x - 771. Find the second derivative of j(k) wrt k. -3306 Let q(c) = 545*c**3 + 5*c**2 - 5*c - 3771. Let x(y) = 816*y**3 + 8*y**2 - 8*y - 5658. Let r(i) = -8*q(i) + 5*x(i). Differentiate r(j) wrt j. -840*j**2 What is the derivative of -2393 - 26297*f**2 + 52597*f**2 - 26300*f**2 - 3624*f**3 wrt f? -10872*f**2 Let z(q) = -12*q**3 - 2*q**2 - 4. Let b be z(-2). What is the derivative of -g + 64 + 5*g - 5*g + 5*g**3 + b wrt g? 15*g**2 - 1 Let l(u) = -u**2 + 3*u + 2. Let p be l(3). What is the first derivative of 63242*x + 322 + 55*x**p - 63242*x wrt x? 110*x Let r(k) be the first derivative of 2173*k**3/3 + 5*k**2 - 19*k + 674. What is the second derivative of r(c) wrt c? 4346 Find the third derivative of -75*f**4 - 70*f**4 - 60*f**4 + 2 + f**5 - 71*f**4 - 55*f - 48*f**3 + 275*f**4 - 3*f**2 wrt f. 60*f**2 - 24*f - 288 Let j = -132 - -2069. Differentiate -j*f**2 + 103 + 2*f**3 - 1976*f**2 + 3860*f**2 with respect to f. 6*f**2 - 106*f Let f(u) be the second derivative of 69*u**6/10 - u**4/6 + 547*u**2 + 53*u - 26. What is the third derivative of f(z) wrt z? 4968*z What is the second derivative of 7*u**2 + 14*u**4 + 132*u + 4*u**3 - 506*u**4 + 1478*u - 7*u**2 wrt u? -5904*u**2 + 24*u What is the second derivative of 67*g**4 - 13*g + 33*g**5 + 10*g - 166*g**4 + 81*g**4 - 21*g wrt g? 660*g**3 - 216*g**2 Suppose -4*o - 84 = -3*g, 2*g - 94 + 10 = -2*o. Let s = 7 + -3. Find the first derivative of 7*d**2 + g + s*d**2 - 2*d**2 - 21 wrt d. 18*d Differentiate -575 + 2612*w**3 + 636 + 6702 wrt w. 7836*w**2 Let d = 14850 - 14850. Let f(u) be the first derivative of 35/4*u**4 - 15 + 0*u - 2*u**3 + d*u**2. Find the third derivative of f(z) wrt z. 210 Let t(o) be the third derivative of o**6/120 - 3601*o**5/60 + o**4/24 + 5251*o**3/6 - 179*o**2. Differentiate t(k) with respect to k. 3*k**2 - 7202*k + 1 Let i(j) be the first derivative of -5/3*j**3 + 148 - 5/4*j**4 + 0*j**2 + 165*j. Find the first derivative of i(p) wrt p. -15*p**2 - 10*p Let n(x) = 2580*x**3 + 5*x**2 - 284*x + 15. Let c(k) = 3871*k**3 + 7*k**2 - 424*k + 23. Let w(u) = 5*c(u) - 7*n(u). Find the second derivative of w(z) wrt z. 7770*z Let u(n) be the third derivative of 0*n - 12*n**2 - 1 - 1/3*n**4 - 1/60*n**5 + 23/2*n**3. Differentiate u(k) with respect to k. -2*k - 8 Suppose 5*z + 16 = 7*z. Suppose -15*o + 22 + z = 0. What is the second derivative of 57 - 57 - 16*b**o - 7*b wrt b? -32 Let k(p) be the third derivative of -p**8/168 - p**7/210 + 5*p**5/2 + p**4/6 - 67*p**3/2 + 2*p**2 - 2116*p. Find the second derivative of k(a) wrt a. -40*a**3 - 12*a**2 + 300 Let k(m) be the third derivative of -3*m + 5/6*m**3 + 1/60*m**6 + 28*m**2 + 0 - 6/5*m**5 - 11/24*m**4. What is the second derivative of k(q) wrt q? 12*q - 144 Let y(d) be the first derivative of -107*d**3/3 - 4*d**2 - 3. Let w(c) = c**2 - c. Let s(x) = -2*w(x) - y(x). Find the second derivative of s(i) wrt i. 210 Let j = 68 - 46. Suppose 28 + j = 5*t. What is the derivative of -7 - 13*d**2 + 4 - t wrt d? -26*d Let r(z) be the second derivative of -527*z**5/10 + 574*z**2 - 155*z - 8. What is the first derivative of r(k) wrt k? -3162*k**2 Let k = -354 + 361. Find the second derivative of k*w**2 + 66*w + 6*w**2 + 2*w**2 - 12 + 14 - 3*w**2 wrt w. 24 Suppose 0 = -10*w - 4*w + 126. Find the second derivative of -18*r - 20*r - w*r + 46*r**3 wrt r. 276*r Let z be 10/8 + (-9)/(-12). Let g = 10 - 6. Differentiate -133*c**z - g + 148*c**2 + 16 with respect to c. 30*c Let g(n) = -n**3 + n**2 - 2*n + 1. Let v(b) = -535*b**3 - 10*b**2 + 109*b - 10. Let a(o) = 11*g(o) + v(o). What is the second derivative of a(r) wrt r? -3276*r + 2 Find the third derivative of 3174*g**3 + 75*g - 3604*g**2 - 28*g - 47*g wrt g. 19044 What is the third derivative of 144 + 200*p**2 - 111*p**4 + 2360*p**4 - 146 wrt p? 53976*p Let o(n) = -1592*n - 905. Let a(c) = 1611*c + 906. Let g(j) = 3*a(j) + 4*o(j). W
{ "pile_set_name": "DM Mathematics" }
d derivative of s(j) wrt j. -48560*j**3 Differentiate -947*i + 92350*i**4 + 153*i - 92348*i**4 - 4831 + 12187 with respect to i. 8*i**3 - 794 Suppose 4*w - 48 - 40 = 0. What is the third derivative of 20 + w*g**5 - g**3 - 2*g**2 - 23 + 2*g**2 + 4*g**2 wrt g? 1320*g**2 - 6 Suppose 4*o - 53 + 1 = 0. Let r = 17 - o. What is the second derivative of -7*l - 253*l**4 + 126*l**r + 117*l**4 wrt l? -120*l**2 Let p(c) = -c**4 - 7*c + c + 5*c. Let r(a) = 26*a**5 - 3*a**4 - 13*a**2 - 3*a. Let v(f) = 6*p(f) - 2*r(f). What is the third derivative of v(g) wrt g? -3120*g**2 Let z(q) = -3299*q**2 + 98*q - 4591. Let c(x) = 3299*x**2 - 84*x + 4593. Let v(k) = 7*c(k) + 6*z(k). What is the derivative of v(f) wrt f? 6598*f Let z(m) be the first derivative of -253*m**6/3 + 2203*m**3/3 + 2004. What is the third derivative of z(d) wrt d? -30360*d**2 Suppose -4*h + h = -w + 17, 3*w - 5*h - 31 = 0. Find the third derivative of 3 - 1627*c - 157*c**3 + 1627*c - 13*c**w wrt c. -942 Let h(t) be the first derivative of -1939*t**6/6 + 3*t**5/5 + 14*t**3/3 + 121*t - 9787. Find the third derivative of h(w) wrt w. -116340*w**2 + 72*w Let y be ((-4 - -11) + -10)/((-6)/(-10)). Let i(t) = -t**3 + t**2. Let q(o) = 10*o**3 + 8*o**2 - 167. Let s(h) = y*i(h) - q(h). Differentiate s(f) wrt f. -15*f**2 - 26*f Let i(l) be the third derivative of 179*l**7/105 + 11*l**5/10 - l**3 + 1816*l**2. What is the third derivative of i(z) wrt z? 8592*z What is the third derivative of 252*h**3 + 584*h**3 + 35*h**2 - 8 - 5 - 173*h**2 + 72*h**2 wrt h? 5016 Let r = 54 - 47. Suppose 170 + 75 = r*w. Find the second derivative of 9*v - v**4 + v - v**4 + w*v**4 wrt v. 396*v**2 Let f(c) = -2416*c**4 - 2*c**3 - 2*c**2 - 2173*c - 8. Let g(n) = n**4 + n**3 + n**2 + 4. Let m(w) = f(w) + 2*g(w). What is the second derivative of m(q) wrt q? -28968*q**2 Let d(t) = 2*t + 1. Let r(l) = 50*l + 10. Let j(w) = -6*d(w) + r(w). Differentiate j(q) wrt q. 38 Let a = -37 - -42. Suppose 10 + a = -5*q, -3*p - 2*q - 6 = 0. What is the third derivative of p*m**3 + 93*m**2 - 106*m**2 + 0*m**3 - 16*m**5 wrt m? -960*m**2 Suppose 0 = -4*p - u + 116, p - 3*u - 102 = -2*p. Let h be 2/((-5)/(p/(-4))). What is the second derivative of 19*k - 22*k**h + 14*k + 19*k**3 wrt k? -18*k Suppose 56*x = 55*x + 2. What is the third derivative of -110*p**x + 16825*p**5 - 91*p**2 - 16788*p**5 wrt p? 2220*p**2 What is the second derivative of -19*v - 1 + 29 + 43*v - 3428*v**4 - 356*v**4 wrt v? -45408*v**2 What is the second derivative of -161*i**4 + 4826*i + 800*i + 2754*i - 242*i**4 + 118*i**4 wrt i? -3420*i**2 Let u(p) be the third derivative of -31*p**6/120 - 17*p**4/24 + 125*p**3 + 1307*p**2. Differentiate u(v) wrt v. -93*v**2 - 17 Let x be 7688/24 + (-2)/(-3). What is the first derivative of 16*u + x - 5*u + 311 - 628 wrt u? 11 Let g be -4 - (-3)/((-9)/(-24)). What is the third derivative of 63*f**3 - 409 - f**2 + 409 - g*f wrt f? 378 Let p be 66 + 2 + 4/4. Let t = 76 - p. Find the first derivative of 127*w - 158*w + 24 - t wrt w. -31 Suppose -2*j - 52 = -28*j. What is the second derivative of -49*y**j - 1 - 1 - 210*y**3 + 209*y**3 - 9*y wrt y? -6*y - 98 Let m(c) = -5461*c**3 - 3*c**2 - 3*c - 4269. Let a(b) = 21842*b**3 + 11*b**2 + 11*b + 17076. Let j(n) = 3*a(n) + 11*m(n). What is the derivative of j(h) wrt h? 16365*h**2 Let q(y) be the second derivative of 31/10*y**6 + 100*y + 19*y**2 + 0 + 0*y**3 + 0*y**5 + 0*y**4. Differentiate q(d) wrt d. 372*d**3 Suppose 0 = -3*i - 3*m - 18, i - 4*m + 10 = 9. Let x be (-6)/75*5 - 202/i. What is the second derivative of -47*c**2 + 41*c**2 + x*c + 42*c**2 wrt c? 72 Let c(y) be the third derivative of -2041*y**7/105 + 353*y**5/5 + y**2 + 2115*y - 1. Find the third derivative of c(i) wrt i. -97968*i Let b(g) = -3970*g**3 + 11*g**2 + 8*g + 92. Let l(c) = -794*c**3 + 2*c**2 + 2*c + 19. Let f(y) = 2*b(y) - 11*l(y). Find the second derivative of f(d) wrt d. 4764*d Let f be ((16/4)/8 - 1)*-10. What is the third derivative of 17*b**2 - 90*b**f - 29*b**6 - 138*b**2 + 88*b**5 wrt b? -3480*b**3 - 120*b**2 Let v(l) be the second derivative of -l**6/30 + 2573*l**5/10 + 1321*l**4/12 + l**3/6 + l**2 - 399*l + 9. What is the third derivative of v(b) wrt b? -24*b + 30876 Let z(j) = 5285*j - 7661. Let c(p) = -2647*p + 3832. Let b(a) = 5*c(a) + 2*z(a). Differentiate b(i) wrt i. -2665 Suppose 19 = 2*s + 3*m + 2*m, 5*s + 3*m = 57. Let j(v) = 3*v - 24. Let t be j(s). What is the third derivative of -24*u**3 - 5*u**2 - 13*u**2 + t*u**2 wrt u? -144 Suppose -2*q + 5*d + 17 = 2*d, 13 = -2*q - 3*d. Let f be 2/(16/4*q/4). Find the third derivative of f - 10*v**5 - 5 + 3 + 11*v**2 wrt v. -600*v**2 What is the third derivative of -1036*s**3 + 652*s**2 + 962*s**3 - 5*s - 1803*s**3 + 3*s - 1259*s**3 wrt s? -18816 Find the third derivative of -17 + 6*g**2 + 23 + 1211*g**3 + 10780*g**3 - 13 - 22*g - 2726*g**3 wrt g. 55590 Let b = -894 - -898. What is the third derivative of 7*p**b + 14*p**3 - 186*p**2 - 16*p**2 - 3*p**3 - 4*p**3 wrt p? 168*p + 42 What is the third derivative of 85 - 107*t**3 - 2*t**2 + 107*t**3 + 2442*t**6 - 51 wrt t? 293040*t**3 Find the second derivative of 132*s**2 + 269*s**2 - 450*s - 32*s**2 - 35*s**2 + 96*s**2 wrt s. 860 Let n be (104/(-6))/(-13) + (-4)/(-6). Let a be 8*(2/4 - 0). What is the second derivative of -2*j**3 + 3*j**3 - 2*j + n*j - a*j wrt j? 6*j Let x = -611 - -613. What is the derivative of -9*a + 32*a**4 + 9*a - 83*a**x + 85*a**2 - 34 wrt a? 128*a**3 + 4*a Let l be (-5)/((-5)/87) + -6. What is the third derivative of 83 - 83 - 76*o**2 + 11*o**2 + l*o**4 wrt o? 1944*o Differentiate -27*j**2 + 1117*j**3 - 759 + 20*j**2 + 7*j**2 with respect to j. 3351*j**2 Let z = 329 - 324. Let g(s) = s**2 - s - 1. Let b(v) = -44*v**2 - 4*v + 21. Let q(u) = z*g(u) - b(u). Find the first derivative of q(m) wrt m. 98*m - 1 Let l(d) be the second derivative of -19*d**5/20 + d**4/6 - d**3/6 - d**2 + 7*d. Let u be l(-1). Differentiate -16 + 23*w**3 + u*w**2 - 20*w**2 wrt w. 69*w**2 Suppose 0 = 9*q - 7*q + 2. Let t be -15 + 23 + (q - -1). What is the third derivative of 4*w**6 + t*w**2 + 3*w**6 - 9*w**6 wrt w? -240*w**3 What is the second derivative of -648*g + 88622514*g**2 - 2 - g**4 + 20*g**3 + 142*g**3 - 88622508*g**2 wrt g? -12*g**2 + 972*g + 12 Let q(r) be the first derivative of 151*r**6/3 + r**3/3 + 143*r**2 + 223. What is the second derivative of q(g) wrt g? 6040*g**3 + 2 Let b = -6 - -25. Differentiate 0*j - 808*j**4 + 399*j**4 + 426*j**4 - 2*j - b with respect to j. 68*j**3 - 2 Let z = 398 - 401. Let v(f) = -11*f**2 - f - 443. Let c(d) = 5*d**2 + 220. Let j(x) = z*v(x) - 7*c(x). Differentiate j(b) with respect to b. -4*b + 3 Let o(d) = -1493*d**2 - 19*d + 564. Let l(u) = -996*u**2 - 13*u + 375. Let s(k) = -7*l(k) + 5*o(k). Find the second derivative of s(m) wrt m. -986 Let z(j) = -j**2 - 4*j + 18. Let t be z(7). Let l = 65 + t. What is the third derivative of -x**4 + x**4 + 35*x**6 - 56*x**l + 17*x**2 wrt x? -2520*x**3 Let v(c) = 223*c**2 - 123. Let r(l) = 873*l**2 + 246*l**2 - 434 - 181. Let a(m) = -4*r(m) + 21*v(m). Find the first derivative of a(q) wrt q. 414*q Let q(s) = 3705*s**2 + 5414*s - 20. Let r(d) = 3707*d**2 + 5418*d - 16. Let g(l) = 4*q(l) - 5*r(l). Find the second derivative of g(w) wrt w. -7430 Suppose 4*y + 342 = -2*a, 2*a = y + 4*a + 87. Let v = y + 299. Differentiate -16 - 201*j**2 + v*j**2 - 8 wrt j. 26*j Suppose 5*g - 219 = 2*j, -j = -2*g + 116 - 29. What is the second derivative of -2772 + 114*r + g*r**2 + 27*r**2 + 2772 wrt r? 144 Let s(h) = -1149*h**2 - 11002*h - 40. Let p(u) = -u**2 - 9*u + 8. Let f(j) = 5*p(j) + s(j). What is the second derivative of f(b) wrt b? -2308 Suppose -4*v - 3*w = -32, 4*w = -2*v + 6*v - 60. What is the derivative of 72 + v - 2*a**4 + 64*a + 99 + 77 - 58 wrt a? -8*a**3 + 64 Find the third derivative of -89*r**2 - 101*r**3 + 12*r**3 - 604*r**2 - 278*r**2 - 226*r**2 wrt r. -534 Find the second derivative of 3*i**4 - 299*i**3 - 2845*i + 9 - 8 + 607*i**3 - 308*i**3 + 917*i**2 wrt i. 36*i**2 + 1834 Let x = -78 + 80. Let a be (-6 + x)/(6/(-9)). Find the second derivative of -13*i**5 - 22*i**2 - a*i + 22*i**2 wrt i. -260*i**3 What is the second derivative of -47 - 53 - 72*p**2 + 18*p - 238*p**2 + 128 wrt p? -620 Let o(b) = -12624*b**2 - 25*b + 5350. Let v(h) = -44185*h**
{ "pile_set_name": "DM Mathematics" }
the second biggest value in -2, -0.1, 1/423, n? 1/423 Let d = -0.1 - 0. Let k = -703 - -352. Let j = 348 + k. What is the second smallest value in j, -2/15, d? -2/15 Let v be (-8012)/572 - 154/(-11). What is the smallest value in 0, -2/5, v? -2/5 Let k = 28 + -28.4. Let q = -2.78 + 10.78. What is the biggest value in q, k, 0.2, 5? q Let k = -260.366 + 261. Let v = k + -0.134. Let b = -39/2 + 18. What is the second smallest value in 0.4, v, b, 0? 0 Let o = 2/42175 + -84372/463925. Which is the smallest value? (a) -27 (b) 0 (c) -5 (d) o (e) 0.1 a Suppose 6*p - 5*p = -3*i, 0 = -4*p - i - 22. Let r(a) = 26*a + 152. Let o be r(p). What is the smallest value in o, 4/41, -0.3? o Let r = 1.2 - 1. Suppose -4*t = -95*d + 99*d + 444, 107 = -t - 3*d. Which is the smallest value? (a) r (b) t (c) -5 b Let v = -17472.8 - -17473. What is the fourth biggest value in v, 104, -3/4, 3, 1/2? v Let n = 15.4 + -99.4. Let k = 90 + n. Let x = k - 6.3. Which is the third biggest value? (a) x (b) 0 (c) 2 a Let l be 2/(-120) + (-2)/8. Let s = -6557.5 - -6557.8. What is the smallest value in s, 1/4, l? l Let s = 1197 + -1414.2. Let r = 217 + s. What is the second smallest value in -0.4, 0.3, 2/17, r? r Let t = 131230 + -131227. Let q = 4 - 6. Which is the fourth biggest value? (a) 62 (b) t (c) 1/5 (d) q d Let s be 152/28 + -28 + 22. Let t = -0.14 - -7.14. What is the third biggest value in -2/5, s, -5, t? s Let x = 14702/25 + -588. Let m = 67 + -601/9. Which is the third biggest value? (a) m (b) x (c) -28 c Let d = -5833 - -5832. What is the fourth biggest value in 3, -2, d, 0.167, -8? -2 Let l = 18.0002 + -0.0802. Let z = l - 18. Let o = z + -0.02. What is the second biggest value in 1, 2, -0.2, o? 1 Let x(t) = -24*t**2 - 127*t - 37. Let v be x(-5). Let l = 5.52 + -2.51. Let n = l - 0.01. What is the third smallest value in v, n, -15? n Let q be -2 + (-48)/14 - 405/(-945). Which is the biggest value? (a) q (b) 3 (c) -2 (d) 169 d Let i = 5773 + -5781.3. What is the third biggest value in -5, -2/7, i, -1? -5 Suppose 19*s + 0*s = 38. Suppose -d + 5*n = -1 - 0, 0 = -s*d + 4*n + 8. Let r be ((-3)/2)/(4/(-8)). Which is the second smallest value? (a) d (b) r (c) -3 b Let b = 1.797 - -1.203. What is the second smallest value in 3/7, 0, -5/18, b? 0 Let z = -1 + -2. Let g = 52.4 - 52.9. What is the fourth smallest value in -29, -2, z, g? g Let a = -135 - -566. Let t = a + -429. What is the biggest value in 200, t, -0.5? 200 Let w = 1506 - 1514. Which is the fourth smallest value? (a) -2/25 (b) -0.3 (c) w (d) -5 a Let y(t) = -t**3 + 7*t**2 + 15*t + 32. Let l be y(8). Let p be (0 - -2) + (-4044)/45. Let g = p + l. Which is the second biggest value? (a) g (b) -1/7 (c) -5 b Let x = 1640/9 + -182. Let o(h) = h + 38. Let k be o(-37). Which is the second biggest value? (a) x (b) k (c) 2/3 c Let d be (4907/4 + 2)*32/42800. Let h = d + -2/107. Let y(l) = -2*l - 1. Let m be y(-1). Which is the third smallest value? (a) 0.1 (b) m (c) h b Let k = 14 - 14.085. Let q = -0.185 - k. Which is the fourth biggest value? (a) 1 (b) 5 (c) 2/15 (d) q d Let h = -0.13 - 0.36. Let k = 174.79 + -174. Let c = h + k. What is the third smallest value in -4/11, 2, c, -0.4? c Let q = 898.47 - 898.6. Which is the smallest value? (a) q (b) 4/9 (c) -0.8 c Let n = 604.7 - 605.2. What is the second biggest value in 0.06, n, -12? n Let u = -109.395 + 109. Let g = 3.605 - u. What is the second smallest value in 2, g, 3? 3 Let v be ((-1749)/(-22))/(((-12)/(-10))/((-16)/(-20))). Which is the third smallest value? (a) 0.5 (b) v (c) 5 b Let r = 7 + -7. Let n = -3.66 + 1.66. Let i = n - 0. Which is the smallest value? (a) r (b) 0.05 (c) i c Let p = -0.3 + 0.1. Let s be (-5)/(-6) - 4/12. Let b = 0.140484 + -12.140484. What is the second smallest value in s, p, b? p Let g = -6.38 + 3.52. Let c = 0.86 + g. Let z = 86 + -82. What is the smallest value in c, 1, z? c Let h = 1/5490 - -304693/10980. Let n = 28 - h. Let j = -0.4023 + -0.0977. What is the smallest value in n, j, 0.1, -2? -2 Let c be ((-2)/(-60))/((-256)/(-3840)). What is the fourth smallest value in -0.5, c, -0.08, -108? c Let q = -2.31562 + 0.31562. What is the second smallest value in -2/7, q, 1/26, 2, 6? -2/7 Suppose 4*n - 5*t - 8 = 17, -5*n + 30 = -5*t. Which is the second biggest value? (a) -56 (b) 3 (c) n b Let v = -18 - -28. Let h = -510/143 + 65794/1287. Let k = h - 883/18. Which is the biggest value? (a) -2 (b) v (c) k (d) 5 b Let x = -31.76 + 31.76. Let k = 69 + -829/12. Let q = 15 - 20. Which is the smallest value? (a) k (b) x (c) q c Let v = 17435 + -17435.3. Which is the fifth smallest value? (a) 0.4 (b) 1092 (c) v (d) 2 (e) -2/5 b Let d = 68201 - 68205. Let j(w) = -w - 1. Let o be j(-5). Suppose 3*b = -5*n - 3 + 4, o*n - 14 = 2*b. What is the third biggest value in d, 0, n, 2/7? 0 Let m = -9925 - -9934. What is the second smallest value in -3, 196, 3, m? 3 Let s(p) = -p**2 + 21*p - 38. Let n be s(17). Let j be 80/n + (-4)/3. What is the biggest value in j, -1/3, 0.5, -3? j Let s = -8 + 13. Suppose 5*y + 70 = -4*w - w, 0 = -s*w + 2*y - 56. Let p be w/30*(-2)/(-4). What is the second smallest value in -0.5, p, 4/7? p Let m = -33/94 - -109/846. Which is the second biggest value? (a) m (b) 4 (c) -28.5 (d) 0 (e) 0.03 e Let s = 11386 + -11379. What is the smallest value in -2, 2/3, 3, -3, s? -3 Let l(t) = t**3 + 32*t**2 - 31*t + 70. Let a be l(-33). Suppose u - 1 = -a*i - 15, 4*u - 28 = 5*i. What is the smallest value in -0.1, i, 1.1? i Let p be 16/(-114)*(343/(-168) + 2). Which is the third biggest value? (a) -2/7 (b) -3 (c) p b Let w(y) = y**2 + 33*y - 36. Let u be 12 + -18 + -27 + -1. Let d be w(u). What is the second smallest value in 5, 2, d, 0? 0 Let c = -8/531 - -1625/2124. What is the smallest value in 1/2, -4, -0.2, 1/7, c? -4 Suppose 552*w - 573*w = -231. Let v = -19 - -56/3. Which is the fourth biggest value? (a) w (b) v (c) 10 (d) -3 d Let u be (-10)/35 + 13/70. Let r = 6 - 4. Let m = 4653/5 - 930. What is the third biggest value in u, r, -3, m? u Let v = -4.6 - -5. Let n = -6114.4 - -5313. Let p = 801 + n. What is the third smallest value in p, v, -10? v Let i = 377 + -376.7. Let c = 12.88 - -12.12. What is the third biggest value in 2/11, -4, i, c? 2/11 Let u be -6 - ((-10)/20)/(1/11). What is the fourth smallest value in 3, 4.3, u, -2? 4.3 Let y = 25.98 - -29. Let v = y + -55. Which is the fourth biggest value? (a) v (b) 9 (c) 0 (d) 4/7 a Let i = -23/60 - 13/60. Which is the second biggest value? (a) -0.3 (b) -4/9 (c) i (d) 52 a Let r = 147 - 143. Let g be -192*((-27)/r)/9. Let i be 356/g + -2 + (-1)/4. Which is the fourth smallest value? (a) -0.2 (b) 4 (c) -0.01 (d) i b Let o = 404/7 - 6819/119. Let y = -769/126 - -416/63. What is the fourth biggest value in o, -2/3, y, -4? -4 Suppose 4*n + 19 = 3. Let i = -38.69 + -810.81. Let m = 849 + i. What is the third smallest value in n, 0, m? 0 Let q be (((-54)/81)/(2/18))/(-2). Let s be ((-4)/3)/((-3)/(-9)). Let n be ((-8)/(-6))/(s/6). What is the third biggest value in -5, q, n? -5 Let v = -53.09 - -48.09. What is the fourth biggest value in v, 4/3, 0.3, -4/15? v Let l = 13298.11 - 13298. Which is the third smallest value? (a) l (b) -49 (c) -0.2 (d) 3 a Let x(p) = p**3 + 8*p**2 + 7*p + 2. Let k be x(-7). Let z be 11/(-22) + 170/4. Suppose 22 - z = 4*n. Which is the smallest value? (a) n (b) -0.4 (c) k a Suppose 0 = -3*h + 3*r + 6, -3*r = -h + 7*r + 56. What is the third smallest value in -26/7, h, 45? 45 Let i be 3/(-4) + 3/12. Let t = -46.76 + -4.24. Let r = t + 50.1. Which is the smallest value? (a) r (b) i (c) 1/12 a Let k = -2 - -4. Let l = -1707 - -1792. Let w be 5 - (17/l + (-322)/(-65)). Which is the third smallest value? (a) w (b) k (c) -2 (d) 0.1 d Let m be 2/(-8) - 13/(-4). Suppose -662 = 3*r + 2*q + 74, -q + 1205 = -5*r. What is the second biggest value in -4, m, r? -4 Suppose -157*k - 3*w - 17 = -156*k, -4*k + w = 16. What is the smallest value in -6, 1/5, 0.3, k? -6 Let z = -11.22 + 1.59. Let v = z - -9.73. Which is the fourth biggest value? (a) v (b) -3 (c) 2 (d) -2/7 b Let j be (68 - (0 + 1))/2*2. Let z = 271/4 - j. Which is the second biggest value? (a) 0 (b) z (c) -2
{ "pile_set_name": "DM Mathematics" }
-1 What is 20 - (20 + -15) - 32? -17 (-3 - -4) + 4 + (2 - 2) - 2 3 -13 - 0 - (-51 - -31) - (22 + 0) -15 Evaluate 109 + -119 - ((-15 - 2) + 4). 3 Evaluate -10 - 17 - (58 - 101). 16 What is (5 - 1 - (32 + -16)) + 0? -12 (19 - 4) + (-14 - -7) 8 Evaluate (-1 - -12) + (-121 - -117). 7 Evaluate -13 + (26 + -23 - -4). -6 What is -42 + 18 + 6 + -2 + 3? -17 Calculate 11 + -1 + 2 + 0 + 281 + -283. 10 Evaluate 17 + -16 - (3 - -1). -3 Evaluate 21 - (-4 + -17 - -25). 17 9 - (-5 + 11 + 5) - -13 11 Calculate 203 + -203 + 8 + 1 + -3. 6 -10 - 0 - (-9 + -2 - -14) -13 What is the value of (-16 - -21 - 9) + -13 + -12? -29 Evaluate (36 - (82 + -46)) + -6. -6 What is the value of -2 + (-1 - -27 - (-70 + 77))? 17 8 + (-3 - 10) + -1 + 2 -4 3 - (-6 + 15 + 1) -7 17 + -29 - (-1 + -18) - 21 -14 What is the value of 23 + -33 + (-3 - 0) + 3? -10 Evaluate -9 + (14 - 23 - -22). 4 -326 + 294 + (32 - 1) -1 What is -64 + 76 - (0 - -2 - 11)? 21 What is 2 + -4 + -2 + 29 + (-22 - -14)? 17 Calculate -4 + -2 - (-4 - -5 - 0). -7 Evaluate 2 + 0 + (7 - (15 + -16)). 10 Evaluate -6 + (-9 - (-4 - 5)). -6 What is -13 - 1 - (-7 - (0 - (6 - 3)))? -10 -1582 + 1573 - (8 - (2 - (2 - 1))) -16 Calculate (-40 - -21) + (3 - -2 - -4). -10 Calculate 6 - 22 - (2 + 3 - 16). -5 What is -2 + 6 + 0 - ((19 - 11) + -5)? 1 Calculate (14 - -21) + (-30 - 6). -1 What is -4 - (6 - (44 - 44 - (-14 + -1)))? 5 What is the value of -20 + 43 - (17 - 5)? 11 (8 - (-5 - -7)) + 0 + -1 5 Calculate 12 + -3 - ((-23 - -11) + 29). -8 Evaluate -29 - -58 - 48 - 9. -28 What is 1 + -22 + (-37 - -51)? -7 What is the value of 2 - 9 - (-7 - (6 + -13))? -7 (54 - (40 - -12)) + 1 + 10 13 20 - (-10 - (-13 - 5)) - 5 7 Evaluate (-169 - -174) + 1 + (1 - (-1 - 0)). 8 What is 23 - (-3 + (-9 - -19) - -6)? 10 What is the value of 11 + 6 + -30 + 23? 10 0 + -1 - (5 - (12 - 13)) -7 Evaluate (2 - -13) + -6 + -14. -5 What is the value of 48 - 41 - (3 + (16 - 0))? -12 Evaluate -4 + 18 + -25 + 49. 38 15 - 11 - (9 - 13) - (0 - -4) 4 What is the value of (21 - (2 - -6)) + 0? 13 What is the value of (-866 - -849) + 23 + -2? 4 Evaluate -8 + 45 + -17 - 39. -19 Calculate -18 + (1 - -20 - (71 + -56)). -12 Calculate -8 - (9 - 14 - -5). -8 What is (12 + (2 + -2 - 7) - 4) + -16? -15 What is the value of 21 - 28 - (-1 - 7)? 1 What is the value of 12 + (4 - -16) - -2? 34 -2 + 1 - -17 - 9 7 Evaluate (170 - 173) + 2 + (-1 - (-3 - 1)). 2 Evaluate 7 - (-2 - -2) - ((-11 - 17) + 30). 5 What is (-6 - -1) + 4 - (1 - (-13 - -7))? -8 Calculate -3 - (5 + -5 - (6 - 12)). -9 Evaluate -8 + (-6 - -6 - -6) + -1 + -5. -8 -35 + 40 - (-3 - 1 - -1) 8 What is 10 + (29 - 36) + -10? -7 Calculate 11 + 0 - (5 + 59 + -50). -3 What is the value of -229 + 249 - (11 - -1)? 8 What is 182 + -156 - (-1 + 29)? -2 What is -36 + 0 - (-725 + 711)? -22 Evaluate -1 + (8 - 9) + -12 + 20. 6 What is (-108 - -1 - -112) + -8 + -1 + 1? -3 Calculate 6 + (5 + -5 + -3 - 4) + 2. 1 Calculate 23 - (-12 + 28 + 38) - (-11 + 0). -20 (76 - 84) + 9 - (25 - 0) -24 What is 11 + -41 - -20 - (-20 - -1)? 9 What is the value of -9 - (14 + -31 + 1 - -7)? 0 What is 1 + -4 - (9 + 25 - 25)? -12 (-4 - -7) + 2 + (-45 - -29) -11 Calculate (7 - 0) + -58 + 67. 16 Calculate -2 + 4 + -9 + -1 - 1. -9 What is (-6 - (6 + -6)) + 3? -3 Calculate 16 + -67 + 21 - -53. 23 What is 37 + -34 + -19 - -36? 20 Evaluate -4 + (-31 - (-14 - -1) - -11). -11 Evaluate -17 + (1 - 1) + 31 + (-51 - -19). -18 What is 7 - (2 - 10) - 4? 11 What is the value of 58 - 0 - (-27 + 67)? 18 17 + 7 + -12 + -5 + -6 - 16 -15 What is the value of (131 - 144) + (-4 - (0 + -7))? -10 33 - 36 - (-5 - 2) - (-26 - 4) 34 (6 - 1) + 206 + -214 -3 Calculate (21 - 8) + -13 - 5. -5 What is the value of (-3936 - -3896) + (5 - -1) + 1? -33 What is 7 - (-2 + 18 + (0 - -5))? -14 What is the value of -31 + -30 + 38 + -6? -29 Evaluate 38 + (-22 + -17 - -18). 17 Calculate (8 - (-3 - -2 - (10 - 16))) + -3. 0 Calculate (-9 - -5 - -8) + 9. 13 Calculate 18 + (-39 - -16) + 2. -3 Evaluate -3 + (-14 - -10 - (0 + -12)). 5 What is the value of (-2 - 6 - (-99 + 87)) + 9 + -2? 11 What is the value of (22 - (11 - 6)) + 4 + -17? 4 -25 - (-26 + (28 - 16)) -11 Evaluate (256 - 240) + -27 + 4. -7 (-15 - 26) + 19 - -38 16 What is (-7 + 8 + -5 - (-9 - -1)) + -8? -4 What is (-2 + -12 - 0) + (36 + -48 - -15)? -11 Calculate -6 - (-1 - -3) - (-2 - (0 + -2)). -8 (-6 + -2 - (-27 - -24)) + 6 + 2 3 What is 43 + 2 + 25 + -39? 31 What is (5 - (19 + -32 + 22)) + -15? -19 Evaluate (-735 - -707) + 0 + 15 + 0. -13 Calculate (-8 - -2) + (8 - -2) - 11. -7 Evaluate -1 + (7 - 0 - (-48 + 50)) + -20. -16 What is the value of 13 + (-7 - 3 - -7)? 10 8 + (22 + -28 - (-1 + -4 + -1)) 8 Calculate 0 + (0 + -1 - ((-7 - -2) + 9)). -5 Calculate (-5 - -1) + -21 + 41 + -12. 4 Calculate (21 + 23 - 18) + -25. 1 -10 + -9 + 33 + 4 18 What is the value of (-1 - -26) + -3 + (-5 - (15 + -20))? 22 What is (4 - 5) + (0 - -4) + (-4 - -5)? 4 Evaluate -9 + (0 - -2 - (-6 - 1)). 0 What is the value of -44 - ((-39 - -31) + (-6 - -6))? -36 Evaluate (33 - 19 - 19) + (-22 - -8). -19 Evaluate 5 + 6 + 10 + -15. 6 Calculate (-3 - 17) + 15 + 13. 8 What is 361 - 333 - (10 + 0)? 18 Calculate (70 - (-26 + 66)) + 8. 38 What is the value of 10 - 0 - (2 - -20)? -12 Evaluate 16 + 2 + (-6 + 0 - (125 - 131)). 18 Calculate 0 - (-15 - (-6 - -3)). 12 Calculate 1 + -15 - (10 + (-70 - -49)). -3 What is 16 + (-6 - -10 - 3 - (-1 + 2))? 16 -34 + (-13 - (30 - 100)) 23 What is the value of -2 + (-2 - -5 - 8) - (-2 - 19)? 14 Evaluate -1 + (10 + (-2 - 6) - -12). 13 What is the value of 14 + 31 + -11 + -13? 21 Calculate -24 - -19 - (13 - 11) - (-3 + 25). -29 Calculate 4 + -28 - (-322 - -283). 15 Calculate 6 + -43 + (-17 - -1) + 27. -26 (-23 - -13 - (-7 + 0)) + (-1 - 3) -7 Calculate 21 + (-8 - -20) + -15. 18 Evaluate -10 + -3 - (-3 + -5 + (3 - -6)). -14 -3 + 1 - (29 + -41 - -1) 9 -24 - (-2 + 7 + -8) - -8 -13 Calculate 7 + (5 + -1 - 5) + 0 + 0. 6 Evaluate (14 - (2 + -4)) + (28 - (-7 - -37)). 14 What is the value of -4 - (-6 + 14) - -5 - (-15 - -23)? -15 What is (-2 - -7) + 5 + -20 + 14? 4 What is -2 - 1 - (14 - 10) - (-5 - -2)? -4 Calculate 0 - ((-1 - 0) + 6 + (-10 - -7)). -2 What is -10 + -15 + (15 - -2)? -8 -5 + (5 - 1) + 6 - (-2 + 2) 5 Calculate 24 + -45 - (-1 - 11). -9 What is the value of -6 + (-3 + 12 + -5 - (-8 - -2))? 4 -9 + 32 - 1 - 20 2 Evaluate (-2 - 5) + (324 - 295). 22 Evaluate 9 + 0 + (5 - (-6 + 14)) + 0. 6 -2 + -2 + 16 + -12 + -30 -30 What is the value of (-29 - (-39 - -14 - -12)) + -7 + -1? -24 -24 - -39 - (9 - 9) 15 Calculate 6 + (0 - -25) - (5 - -7). 19 Evaluate 14 + -5 + (8 - (-1 - 0) - -1). 19 -3 + (9 - -4 - 2) + (-2 - 1) 5 4 + (-8 - (0 - -1) - 5) -10 -11 - (9 + 16 + -17 + 9) -28 What is the value of (14 - 31) + (9 - -1 - 0 - 7)? -14 Calculate 2 - (-15 - -35) - (-4 - (1 + 0)). -13 What is the value of (-18 - -12) + 16 + -14 + 1? -3 Calculate -12 + -4 - -33 - 10. 7 Calculate 15 - -1 - (16 + (11 + -52 - -29)). 12 What is (9 - ((5 + -9 - 2) + 6)) + -9? 0 What is 1 + 3 + -4 + (10 - (2 + 3))? 5 What is the value of (-3 - 1 - 1) + 5 - (-2 + -9)? 11 What is 31 + (-33 - 48 - -45)? -5 What is the value of -1 + -15 - (830 - 862)? 16 What is -365 - -373 - (3 + -3 + 1)? 7 18 + ((-13 - 3) + 22 - 13) 11 Evaluate 1 + -4 + 4 + (16 - 7) + -30. -20 What is the value of -5 + 8 + -1 + -2 + (-8 - -14)? 6 Evaluate (50 - 25) + (6 + -6 - -3). 28 What is -16 + (-12 - -29) - 7? -6 What is the value of -5 + (-13 - (-10 - -8) - -4 - -24)? 12 What is the value of -3 - ((-8 - 6) + 4)? 7 What is 6 + (-5 - (-16 - -18))? -1 What is the value of 140 - 138 - (14 - (0 + 2))? -10 -16 - (-11 + (-13 - (-18 - 11))) -21 What is 2 - (0 + 2 - (12 - 5 - -1))? 8 Evaluate (0 - (7 + (-1 - -1) + -21)) + -2. 12 Calculate -9 - (-7 - 4) - (9 - (-15 + -4)). -26 What is -1 + -2 + (85 - 86) + -1 + 2? -3 Evaluate -15 - 3 - (-15 - -10). -13 What is the value of 1 + -24 + 2 + -47 + 34? -34 What is the value of 11 - 0 - ((15 - (-1 - -6)) + -8)? 9 What is 0 + -35 + -84 + 96 - -15? -8 -8 + 1 + 23 + -32 -16 What is 6 + 20 + -12 + 4? 18 Evaluate -14 - (1 - 2) - (162 + -194). 19 Calculate 4 - (-2 - 5) - (6 - (0 - -3)). 8 2 + 0 + (-6 - -7) + -3 + 6 6 33 + -30 + 18 + (-1 - (0 - -3)) 17 What is the value of (-1 - -2 - 1 - 10) + 261 + -263? -12 Calculate 26 + (-8 - 6 - -15) + 6. 33 Calculate -6 + (7 + 10 - (4 + 0)) - -6. 13
{ "pile_set_name": "DM Mathematics" }
. What is the greatest common factor of c and 138? 23 Let k be 360/(-20)*220/(-15). What is the greatest common factor of 4092 and k? 132 Suppose 12*p - 2 + 26 = 0. Let z(k) = -3*k**3 - 2*k**2 - 4*k - 8. Let a be z(p). Calculate the highest common divisor of a and 48. 16 Let w(j) = 659*j**3 - 18*j**2 - 4*j + 1. Let f be w(1). Calculate the greatest common divisor of f and 44. 22 Let r(x) = x**3 - 21*x**2 + 60*x - 31. Let m be r(13). Let f = m - -641. What is the greatest common divisor of 779 and f? 19 Let u(t) = 16*t - 72. Let i(q) = -q - 1. Let d(j) = 22*i(j) + 2*u(j). Let p be d(25). What is the highest common divisor of 108 and p? 12 Let n = 115 + -96. Let c = n + -14. Let l = 80 - c. Calculate the greatest common factor of l and 50. 25 Suppose -1482*j = -1488*j + 2142. What is the greatest common divisor of j and 14? 7 Let n(d) = -51*d - 1981. Let k be n(-39). What is the greatest common factor of 4348 and k? 4 Suppose 0 = b - 10 - 4. Let x = 0 + b. Let v = 1070 + -958. Calculate the greatest common divisor of v and x. 14 Suppose -69*u + 44 = -2095. Let i = 637 + -296. What is the greatest common factor of i and u? 31 Let y = 2 + 28. Let b(l) = l**2 + 21*l - 124. Let r = 69 + -95. Let t be b(r). Calculate the highest common factor of t and y. 6 Let j(d) = 8*d**2 + 2*d + 1. Let u be j(-1). Let w = -2088 + 2089. What is the greatest common divisor of w and u? 1 Suppose -3*l - 15 = 0, -66*l + 2599 = 3*o - 71*l. Calculate the greatest common divisor of o and 78. 78 Let k(y) = y**2 - 82*y + 1337. Let s be k(60). Calculate the highest common divisor of 4284 and s. 17 Let w(s) = s**2 - 8*s + 15. Let l be w(5). Suppose l = -6*c + 11*c - 95. Suppose 0 = -c*a + 13*a + 108. What is the highest common factor of 126 and a? 18 Let u be 3 + (2 - 3)/((-3)/(-3)). Let w be 18/((-4)/(-2 - u) - 0). Let g = 82 + -64. Calculate the highest common factor of w and g. 18 Let o = -68 - -164. Let b be (-21)/42 + 2942/4. Suppose 2*v - 738 = -5*f - 28, -3*v - b = -5*f. What is the greatest common factor of o and f? 48 Let v = -33 - -78. Let g = -165 + 184. Let f = g + 11. Calculate the highest common divisor of v and f. 15 Let k(w) = 5*w + 1. Let n be k(3). Let u(v) = -v + 23. Let d be u(24). Let r be (-20 + -92)*d*(-2)/(-2). Calculate the greatest common factor of n and r. 16 Let n be 3168/330*(-50)/(-8). Let x = -69 - -149. Calculate the greatest common factor of x and n. 20 Let g = 64 - 67. Let c(u) = 3*u**2 + 2*u. Let m be c(g). Suppose -2*z + 4 = i - m, -5*i + 89 = z. What is the highest common divisor of 136 and i? 17 Let r be (-444675)/700*(-20)/3. What is the highest common factor of 35 and r? 35 Let u be (4 - 2)/(6/12). Suppose u*l + l = -l. Suppose l*m + 3*v - 135 = -2*m, 4*m + v - 295 = 0. What is the highest common divisor of 50 and m? 25 Let x(f) = -5*f + 0*f + 31 + 4*f. Let a(p) = -103*p - 1566. Let s be a(-15). Let b be x(s). What is the highest common divisor of b and 130? 26 Let v = 18394 - 1534. Calculate the greatest common factor of v and 60. 60 Let u be (-3 - -2)/(-2*2/(-332)). Let d = u - -343. Calculate the highest common divisor of d and 20. 20 Suppose 3*d + 199 = 2*w, -5*w + 379 = 2*d - 147. Let y = w - 76. What is the highest common factor of 7 and y? 7 Let j(z) = 342*z - 167. Let v be j(1). What is the greatest common divisor of 245 and v? 35 Let z be (9/(-12))/(-1) + (-218)/(-8). Let w(d) = -15*d - 4. Let y = -19 - -15. Let t be w(y). Calculate the highest common divisor of t and z. 28 Let k = 5889 + -5798. What is the highest common divisor of k and 923? 13 Suppose -296 = -4*f + 5*f + b, 0 = 2*f + 5*b + 601. Let s = 1656 + f. Calculate the greatest common factor of s and 29. 29 Let a(z) = -3*z**3 + 56*z**2 - 231*z - 21. Let q be a(9). Calculate the greatest common divisor of q and 20169. 249 Suppose -6*o + 476 = -o - x, 0 = 2*o + x - 196. Suppose 11*c - 13*c + 23 = n, -4*n = 3*c - 32. Calculate the highest common factor of o and c. 12 Let y be (1020/8)/5 + 54/36. Calculate the highest common divisor of 51 and y. 3 Let f(r) = r**3 - r**2 + 8*r - 45. Let g be f(3). Let y be -9 + 39 - (-2 + g). Calculate the greatest common factor of 7 and y. 7 Let o be 4/(-14) + (3488/56)/1. Suppose o = 2*h - 0*h + 2*d, -2*h + d + 50 = 0. Calculate the highest common divisor of 63 and h. 9 Suppose -816*i - 3240 = -846*i. Let m(x) = -x**3 - 8*x**2 - 2*x - 4. Let h be m(-8). Calculate the highest common divisor of i and h. 12 Let n(f) = -8*f + 205. Let s be n(-42). Let b = -421 + s. Calculate the greatest common divisor of 320 and b. 40 Let p = 1760 - -20391. What is the highest common divisor of 68 and p? 17 Suppose 2*u - 10 = -4. Let h be (3 - -1)/(-3 - (3 - 4)). Let n be (-1 - h/u)*(-14 - 43). What is the greatest common divisor of n and 1? 1 Suppose 0 = -c - 2*k + 940, -4*k - k + 30 = 0. Calculate the greatest common factor of c and 348. 116 Let w = 162 + 111. Let i = 482 - w. Calculate the greatest common factor of 38 and i. 19 Let o(b) = -2*b**2 - 52*b + 400. Let u be o(6). Let t be 90 + -1 + 2/(-2). What is the highest common factor of u and t? 8 Suppose 1122 = 4*h - 510. Let v be 30/(-7) - 14/(-49). Let m be v/8*4 - -53. What is the greatest common factor of h and m? 51 Let z = 1138 - 1123. Calculate the highest common factor of z and 2055. 15 Suppose -4*q + 8*q = 924. Suppose -o - 2*z + 4*z + 20 = 0, 3*z = -5*o + 61. Suppose 0 = -5*x - o + 119. Calculate the highest common factor of x and q. 21 Suppose 164*l = -57*l + 19*l + 72114. Calculate the greatest common factor of 21 and l. 21 Let u = 90 + -74. Suppose 0*q = 4*q - u. Suppose o - h = 225, -5*o - q*h + 1586 = 506. What is the highest common divisor of 20 and o? 20 Suppose -3*z - 2*j + 25 = 0, 2*j = -2*z + 3*j + 19. Suppose -z*s + 10*s = 85. Calculate the highest common divisor of s and 5. 5 Let m be 8/(-12)*(-6 - 273). Calculate the greatest common divisor of m and 1984. 62 Suppose -a + 515 = 359. Calculate the highest common divisor of a and 897. 39 Suppose -199*k + 9120 = -123*k. What is the greatest common divisor of 3630 and k? 30 Let x be (-10)/40 - (-7)/(-4). Let p be (x - -2) + -4 + 7. Suppose f = d - p*d, 4*d + 12 = 4*f. What is the greatest common divisor of 9 and f? 1 Suppose 23 = 3*l - 4*i - 24, 4*l - 64 = 5*i. Let s be (l/12)/((-4)/464). Let x = 287 + s. What is the greatest common factor of x and 56? 28 Let a(b) = -b**3 - b**2 + 3. Suppose 2*c = q + 2*q - 8, -2*c - 2 = 0. Let x be a(q). Let j = x + 16. What is the greatest common factor of 2 and j? 1 Let p be ((-3)/1)/(-9) + 141/9. Suppose 16*j - 928 = p. Suppose -5*c = -2*q - 451, -2*c - q + 243 = j. Calculate the highest common divisor of c and 14. 7 Let x(u) = -u**3 + 5*u**2 + 9*u - 12. Let g be x(-4). Let h = 1325 - 1285. What is the highest common divisor of h and g? 8 Let l(n) = -14*n + 3139. Let x be l(43). What is the highest common factor of 177 and x? 59 Suppose 6*s = -2*n + 5*s + 52, -n + 4*s = -8. Let t = 107 - -13. Calculate the greatest common divisor of t and n. 24 Let m(w) = w**2 - 14*w + 50. Let u be m(7). Let a = 5 - u. Suppose -29*f + 16 = -28*f. Calculate the highest common divisor of a and f. 4 Let g(h) = -h**3 - 11*h**2 - 11*h + 11. Let k be g(-11). Suppose k = -5*i + 197. Calculate the highest common divisor of 247 and i. 13 Let z = -90 + 94. Suppose a + 31 = 2*c, -5*c + z*a = 5*a - 67. Suppose 0*j = -8*j + 112. Calculate the greatest common factor of c and j. 14 Let t = 575 - 583. Let f be t/(-18) + (-5440)/(-153). Calculate the greatest common divisor of f and 144. 36 Let i = 135 + 19. Suppose 4*f - 170 = -2*w, f - 5*w + 10 = 69. Calculate the highest common divisor of i and f. 22 Let f(k) = 17*k + 1506. Let q be f(-9). What is the highest common factor of 264 and q? 33 Let l(y) = -5*y**3 + 50*y**2 + 10*y - 51. Let k be l(10). What is the greatest common factor of k and 1519? 49 Let p(h) = 5*h**2 - h - 1. Let q be p(1). Suppose 2*j + 10 = m, -5*m + 3*m + q*j = -23. Let l = -123 + 299. What is the highest common divisor of m and l? 16 Suppose 3*j - 96 = 2*v, 5*j - 129*v = -134*v + 110. Calculate the greatest common divisor of j and 1876. 28 Let s be -1 + -2 + 60 + 1. Suppose -4*b + s + 662 = 0. Let y(p) = p**3 + p**2 + 8*p + 12. Let h be y(3). What is the greatest common factor of b and h? 36 Suppose -75
{ "pile_set_name": "DM Mathematics" }
et u(k) = 7*k**2. Let a(s) be the third derivative of -s**5/60 - 132*s**2 + 2*s. Determine -20*a(f) - 4*u(f). -8*f**2 Let g(f) = 1. Let r be 10/4*(-5 + 435/75). Let q(p) = 2*p**2 + 2*p + 2. Determine r*g(n) + q(n). 2*n**2 + 2*n + 4 Let d(q) = 53*q - 11. Let n(x) = -51*x + 10. Determine 6*d(w) + 7*n(w). -39*w + 4 Let n(i) = -12*i + 3. Let p(r) be the third derivative of -r**4/3 + r**3/3 + 25*r**2 + 1. Determine -5*n(q) + 7*p(q). 4*q - 1 Let f(r) = -29*r**3 + 13*r**2 - 13*r. Let w(i) = -i**3 + i + 1. Let x(p) = -3*p**3 + 3*p**2 - 7*p - 4. Let c(n) = 4*w(n) + x(n). Calculate -26*c(b) + 6*f(b). 8*b**3 Let i(s) = 2*s + 11. Let z be i(-4). Let m(w) = -w + 1. Let o(k) = -k + 12. Let p(b) = -2. Let y(u) = -o(u) - 6*p(u). Determine z*m(f) + 5*y(f). 2*f + 3 Let b be 51/4 - (4 - (-85)/(-20)). Suppose 39 = m + 5*v + b, -30 = -3*m - 3*v. Let h(x) = -x**2. Let i(a) = 8*a**2 - a - 1. Determine m*h(t) + i(t). 2*t**2 - t - 1 Let t(r) = 189*r**2 - 63*r + 63. Let b(v) = 2*v**2 - v + 1. What is -315*b(q) + 5*t(q)? 315*q**2 Let u(p) = -2*p**3 + 5*p**2 + 0*p**2 - p**2 + 3 - p. Let n(x) be the first derivative of 7/3*x**3 - 27 + 5*x - 3/4*x**4 - x**2. Give -3*n(r) + 5*u(r). -r**3 - r**2 + r Let j(v) = 8*v - 4. Let s(n) be the third derivative of 7*n**4/24 - n**3/2 + 126*n**2. Calculate 5*j(f) - 6*s(f). -2*f - 2 Let k(p) = 4*p + 3. Let a = 6 + 0. Suppose 4*i = -3*s - 715, 3*i + 277 = 2*s - 272. Let o = 185 + i. Let g(y) = -3*y - 2. Give a*g(t) + o*k(t). -2*t Let r(w) = 5*w + 137. Let p(h) = -h. Give -6*p(f) - r(f). f - 137 Let r(o) = -2*o**3 - o**2. Let m(f) = 22*f**3 + 10*f**2 + 48*f. Calculate m(w) + 10*r(w). 2*w**3 + 48*w Let w(v) = v**2 - 1. Let r(i) = i**3 + 11*i**2 - 13*i - 10. Let k be r(-12). Let f be k*(3 - 33/6). Let n(u) = -2*u**2 + 5. Give f*w(l) - n(l). -3*l**2 Let x(z) = 3*z**3 - z**2. Let j(l) = -87*l**3 + 7*l**2. Give -j(d) - 3*x(d). 78*d**3 - 4*d**2 Let k(y) = 10*y - 26. Let n(h) = -11*h + 27. What is -6*k(g) - 5*n(g)? -5*g + 21 Let f(u) = 3. Let w(a) = -22*a - 10. Give 2*f(s) + w(s). -22*s - 4 Let s(u) = 3*u + 5 - 1 - 5*u. Suppose 680*w - 694*w = 70. Let x(o) = 2*o - 5. Determine w*s(r) - 4*x(r). 2*r Let r(j) = 3*j**3 + 19*j + 1. Let o(i) = i**3 + 9*i. Give 7*o(z) - 3*r(z). -2*z**3 + 6*z - 3 Let n(m) = -2*m**3 - m + 1. Let c(g) = -4*g**3 - 2*g**2 + g + 8. Give -c(y) + n(y). 2*y**3 + 2*y**2 - 2*y - 7 Let q = 1185 - 1180. Let z(h) = 9*h - 3. Let o(n) = 5*n - 2. What is q*o(w) - 3*z(w)? -2*w - 1 Let o(k) be the first derivative of 2*k**3/3 - k**2/2 - 158. Let a(w) = -w. Calculate -6*a(n) + o(n). 2*n**2 + 5*n Let v(l) = -7*l**3 - 8*l**2 + 6*l - 5. Let p(h) = -h**3 - h**2 + h - 1. Let j = -468 - -467. Determine j*v(r) + 6*p(r). r**3 + 2*r**2 - 1 Let j(b) = b - 49. Let d(x) = -x + 49. Determine 6*d(w) + 5*j(w). -w + 49 Let w = 203 + -207. Let n be (8/(-4))/(2/11). Let r(v) = -9*v - 11. Let l(a) = 3*a + 4. Give n*l(b) + w*r(b). 3*b Let b(k) = -202*k**3 + 404*k. Let p(h) = -h**3 + h. Give -b(q) + 404*p(q). -202*q**3 Let h(k) = -10*k**2 - 21*k + 4. Let b(d) = -10*d**2 - 26*d + 4. Give -5*b(u) + 6*h(u). -10*u**2 + 4*u + 4 Let r(t) = -1. Let x(n) be the third derivative of n**4/12 - 340*n**2. Calculate 2*r(h) + x(h). 2*h - 2 Let t = 9 + -8. Let o = t + 0. Let v(d) = -d - 1. Let l(c) be the first derivative of -2*c**2 - 5*c - 11. What is o*l(i) - 5*v(i)? i Let k(u) = 2*u. Let q be ((-26)/91)/((-4)/7)*2. Let l(m) = 2 + 6 - 3 + m - 4. Let v(o) = q*k(o) - l(o). Let n(j) = -7*j + 9. Calculate -2*n(w) - 18*v(w). -4*w Let w(s) = 8*s + 1. Let x(n) = -7*n - 1. Let q(d) = 14*d + 2. Let a(m) = 6*q(m) + 11*x(m). Suppose i - 3*c = -18, -6 = -i - 13*c + 10*c. Give i*a(r) + 5*w(r). -2*r - 1 Let s(v) = v**2 - 4*v - 4. Let u(f) = f + 1. Let o be (2/10 - -1)/((-114)/(-760)). Suppose o*m - 15 = -55. Determine m*s(z) - 20*u(z). -5*z**2 Let f(n) = -85*n. Let x(i) = -3*i. Calculate -f(a) + 5*x(a). 70*a Let f(i) = i - 1. Suppose -5*h + 9*h = 8, 3*t - 29 = 2*h. Let m(o) = -5*o + 2*o + t*o + 0 - 7. Determine -6*f(d) + m(d). 2*d - 1 Let u(l) = -4*l - 3. Let o(f) be the third derivative of -f**4/8 - f**3/2 + 2*f**2. Let q be 1/(-3)*2 + 84/(-36). What is q*o(r) + 2*u(r)? r + 3 Let l(g) = -3*g**3 + g**2 + 24*g + 2. Let k(b) = -b**3 + 7*b + 1. Determine -7*k(i) + 2*l(i). i**3 + 2*i**2 - i - 3 Suppose i + 3*p = 12, 0 = i - 3*p - 2*p + 12. Let k(h) = 2*h**2 - 2*h - 2. Let c(l) = 1. Give i*c(t) + k(t). 2*t**2 - 2*t + 1 Let j(s) = 2*s - 1. Let l(d) = d - 1. Calculate -j(y) - l(y). -3*y + 2 Let i(f) = 0 + 2 - 3. Suppose -2*m + 2 = -0*m. Let k(u) = 6*u + 7. Let t(x) = m*k(x) + 3*i(x). Let c(s) = 7*s + 5. Calculate 4*c(w) - 5*t(w). -2*w Let k(u) = -u**3 + u**2 - 1. Let g(m) be the second derivative of m**5/10 - m**4/3 + 2*m**2 + 371*m. Give g(b) + 4*k(b). -2*b**3 Let t(c) = c - 21. Let w(m) be the first derivative of 4*m - 1. Let q(s) = -s**3 + 36*s**2 + 12*s - 421. Let y be q(36). Give y*w(f) + 2*t(f). 2*f + 2 Let b(y) = -y**3 - y**2 - y + 1. Let s(t) = -25*t**3 - 30*t**2 - 30*t + 30. Suppose 7*n - 3*n = z - 26, n - 1 = 0. Give z*b(d) - s(d). -5*d**3 Let h(s) = -5*s**2 - 5*s + 4. Let p(z) = -2*z**2 - 2*z + 2. Determine 3*h(y) - 7*p(y). -y**2 - y - 2 Let g = -48 + 46. Let l(m) = 3*m - 6. Let q(r) = -4*r + 7. Let s(x) = -26*x - 55. Let t be s(-2). What is g*q(j) + t*l(j)? -j + 4 Let m(d) = -6*d + 1. Let a(z) = 7 - 6*z + 5 - 10. Let o(x) = -3*a(x) + 4*m(x). Let j(q) = 13*q + 5. What is 2*j(c) + 5*o(c)? -4*c Let z(b) = 26800*b + 220. Let p(q) = -367*q - 3. Give 440*p(l) + 6*z(l). -680*l Let l(o) = -1 + 5*o + 4*o - o - 7*o. Let u(p) = -p. Give -2*l(h) + u(h). -3*h + 2 Let n(s) = 128 + 127 + 10*s - 244. Let d(f) = -8 - 3*f + 6 + f. Suppose 0 = -0*v + 3*v - 6. Determine v*n(j) + 11*d(j). -2*j Let o be ((-3)/(-5))/((-2)/(-20)). Let x(i) = -i + 10. Let f(s) = 3*s + 13. Let w(k) = k + 7. Let d(r) = 2*f(r) - 5*w(r). Give o*d(b) + 5*x(b). b - 4 Let f(r) be the second derivative of -r**5/10 - r**4/2 + 2*r**3/3 + 4*r**2 - 2*r + 288. Let b(x) = 2*x**3 + 5*x**2 - 3*x - 7. Calculate -4*b(z) - 3*f(z). -2*z**3 - 2*z**2 + 4 Let h be ((-12)/4)/(6/(-8)). Let m(i) = -3*i + 4. Let l = 241 + -240. Let v(n) = n - 1. Give h*v(q) + l*m(q). q Let n(v) = 477*v - 235*v - 1 - v**2 - 242*v. Let z(j) = 10*j**2 + 5. Calculate 5*n(x) + z(x). 5*x**2 Let j(y) = 6*y**2 - 2*y + 1. Let d(l) = -5*l**2 + 2*l. Let h(p) = 5*d(p) + 4*j(p). Let m(g) = 2*g**2 - 4*g + 26 - 62 + 27. Give 13*h(s) + 6*m(s). -s**2 + 2*s - 2 Let i(m) = 32*m**2 - 3*m + 3. Let k(b) = 31*b**2 - 2*b + 2. Determine -4*i(l) + 6*k(l). 58*l**2 Let g = 158 + -154. Let b(c) = 56*c**3 + 21*c**2 + 21. Let a(i) = -11*i**3 - 4*i**2 - 4. Determine g*b(u) + 21*a(u). -7*u**3 Let z(m) = 2*m**3 - 13*m - 13. Let n(a) = 4*a**3 + a**2 - a - 1. Let d be n(1). Let b(s) = s**d - 10*s**3 + 6*s + 8*s**3 + 6. What is 13*b(r) + 6*z(r)? -r**3 Let x(q) = -6*q + 7. Let u(b) = 6*b - 6. Suppose -60*m + 64*m = -24. Give m*x(p) - 7*u(p). -6*p Let m(i) = -16*i + 25. Let o(a) = 3*a - 5. Let l(p) = 2*m(p) + 11*o(p). Let w(r) = 3. Let h = 28 - 25. Suppose 3*u - 12 + h = 0. Determine u*l(q) + 5*w(q). 3*q Let z(a) = a - 1. Let g(d) = -d - 17. Let i(f) = 4. Let y(j) = 6*g(j) + 26*i(j). Calculate y(r) + 5*z(r). -r - 3 Let p(b) = -7*b + 188. Let o be p(27). Let x(d) = -1. Let i(c) = c - 1. Determine o*i(y) + x(y). -y Let k(b) = -3*b + 3. Let s be (-12)/90 - (-43)/(-15). Let l = s + 7. Let c(q) = 2*q + l - 1 - 5. Calculate -5*c(a) - 3*k(a). -a + 1 Let p(z) = 4. Let k(r) = 11. Let j(l) = -4*k(l) + 10*p(l). Let a(x) = x**2 + 5. Let b = 14 - 12. Determine b*a(m) + 3*j(m). 2*m**2 - 2 Let y(i) = -2*i**2 + 4*i. Suppose 6*q - 11*q + 5*d + 10 = 0, 5*q + 3*d + 30 = 0. Let r(a) = a**2 - 3*a. Give q*y(s) - 4*r(s). 2*s**2 Let q(s) = 13*s**3 + s**2 + 6*s + 3. Let r(t) = 2*t**3 + t - 1. What is -2*q(u) + 14*r(u)? 2*u**3 - 2*u**2 + 2*u - 20 Let o(v) = 223*v**3 - 6*v**2 - 4. Let r(p) = -448*p**3 + 14*p**2 + 9. Give -9*o(w) - 4*r(w). -215*w**3 - 2*w**2 Suppose -o + 43 = -4*b, 0 = -o - 10*b + 7*b + 15. Let j(g) = -72*g**2. Let i(s) = 13*s**2. Give o*i(t) + 5*j(t). -9*t**2 Let h(s) = -2*s - 1. Let t be -2*(-2)/(-16)*-12. Suppose 0 = 3*j + 4*w - 7, t*j + w = 6 + 7. Let u(a) = -3*a - 2. Give j*h(i) - 3*u(i). -i + 1 Let x = -376 + 378. Let i(v) = -v**2 + 6*v - 1. Let o(h) = -5*h. Calculate x*i(l) + 3*o(l). -2*l**2 - 3*l - 2 Le
{ "pile_set_name": "DM Mathematics" }
11. Let p = 11 - 7. Put h, -4, p in ascending order. h, -4, p Suppose -l + 40 = 3*d, 0*l - 5*d - 36 = -2*l. Let p be -1 + -1 + l/2. Suppose -5*i = -4*u - p, -i + 2*u + 4 = i. Put i, -0.2, -3 in descending order. i, -0.2, -3 Suppose -2*t + 8 = 4*i, -5*i = t - 6*t + 35. Put t, -3, 3, 1 in decreasing order. t, 3, 1, -3 Suppose 0 = 4*w + 3*u - 4, w - 2*u + 7 - 8 = 0. Put -1, w, -3 in ascending order. -3, -1, w Let q be 5 + -8 + (-1 - -20). Let v be (q/(-192))/(2/4). Sort v, 2, 3 in descending order. 3, 2, v Let t(a) = -4*a**3 - a**2 - 12 - 9*a + 12*a**2 + 3*a**3. Let x be t(10). Suppose 3*h = -2*h - 25. Put h, x, 5 in ascending order. h, x, 5 Let l = 40 - 20. Suppose -l = -4*t, -16 = 3*b - 3*t + t. Put b, 4, -1 in descending order. 4, -1, b Let l = -16.1 - -19.82. Let b = l + -0.12. Let n = -0.4 - b. Sort 3, -0.4, n. n, -0.4, 3 Let w be (-1 - 3/(-2))*-18. Let j = -199 - -199. Put j, w, -3 in descending order. j, -3, w Let o be 3/(-21)*2/1. Let r = 0.4 + -0.3. Sort o, r, 1/2 in decreasing order. 1/2, r, o Let u(o) = -o**3 - 7*o**2 - 7*o - 1. Let d be u(-6). Suppose b - d*b - 4 = 0. Let n be ((-2)/6)/(5/(-15)). Sort b, n, 5 in decreasing order. 5, n, b Let a = -2 - -3. Suppose -5*o = -5*f + 45, -o - 6 = -2*o - 4*f. Let c = o + a. Put c, -2, -1 in descending order. -1, -2, c Suppose -x - 4*n = -10, 5*x + n - 14 = -n. Let c = x + -3. Let l = -4 - c. Sort l, 0.2, 3 in descending order. 3, 0.2, l Let o = -1.3 - -0.3. Let g = -3148/13 - -242. Sort 5, g, o. o, g, 5 Let x = 1 + -2. Suppose -5*o + 15 = -0*o. Suppose 0 = 2*c - o + 13. Sort c, x, -4 in decreasing order. x, -4, c Let l = 0 + 0.5. Let r be (-6)/20 + (-2)/4. Suppose -38*k + 41*k + 6 = 0. Put k, r, l in ascending order. k, r, l Let s(o) = -o + 11. Let q be s(7). Put 0.12, -5/3, -1/6, q in descending order. q, 0.12, -1/6, -5/3 Let i = 0.7 - -0.5. Let d = -0.3 + i. Let k = 1.3 - d. Put k, 1/4, 5 in descending order. 5, k, 1/4 Let d be (2 + -3)/(-1) + 32. Let l = -129/4 + d. Sort -5, l, -0.3 in decreasing order. l, -0.3, -5 Let i = 1.7 + -2.1. Put i, 1, -0.3 in decreasing order. 1, -0.3, i Let x = 7 + -7. Suppose -5*z - u + 16 + 6 = 0, -z - 4*u + 12 = x. Suppose -5*i + 0 = -15. Put i, -1, z in decreasing order. z, i, -1 Let g = -17 - -7. Let h = -10/183 + -9283/915. Let s = g - h. Sort 1, s, -4 in decreasing order. 1, s, -4 Suppose -3*r = -3*c - 6, 6*r - 2*r + 32 = -4*c. Let i(o) = -2*o**2 - o. Let s be i(-1). Let q = s - -1. Put q, r, -4 in increasing order. -4, r, q Let j(s) = -s**3 + s**2 - s - 3. Let v be j(0). Let y be (18/21)/(v/(-14)). Sort y, 0.3, 2/5. 0.3, 2/5, y Let b be (-1 + 15/18)*-1. Let j = 13 + -8. Put 0.1, b, j in descending order. j, b, 0.1 Let v(g) = 37*g - 76*g + 3 + 38*g. Let q = -3 - -6. Let u be v(q). Sort u, 4, -2 in decreasing order. 4, u, -2 Let w = 22 - 21. Let d be (w + 36/(-32))*-2. Let k = 6.7 - 7. Sort d, k, -0.1 in decreasing order. d, -0.1, k Suppose -s + 8 = 3*k, 3*s + 5*k + 2 = 18. Let u(a) = -a**2 - a - 1. Let z be u(s). Put z, -4, -3 in increasing order. z, -4, -3 Let f(z) = -3*z**2 - 3 - 3*z - 2*z**2 - z. Let n be f(-2). Let i = -10 - n. Put 1, -0.1, i in descending order. i, 1, -0.1 Let p(m) = -m**3 - 5*m**2 - 1. Let b be p(-5). Let k be (34/26 + b)/(-2). Let s = 187 - 1315/7. Put k, 1/7, s in ascending order. s, k, 1/7 Let z = 21 - 19. Suppose -z*v - 12 - 6 = 4*a, -5*a = -2*v. Sort -5, 5, a in increasing order. -5, a, 5 Let d = 9 + -11. Let n = -13.68 + 14. Let o = 0.02 - n. Sort o, -5, d in increasing order. -5, d, o Suppose -11*t = -15*t. Let g be -2 - 3/(6/(-14)). Sort g, -2, t. -2, t, g Suppose x - 4*r = 6, 5*x + 2*r = -12 - 2. Sort 15, x, 4 in increasing order. x, 4, 15 Let k = 10.8 - 10. Let q = -2.2 - k. Let t = -3 - -3. Sort q, t, -2/3 in decreasing order. t, -2/3, q Let h = 48 + -34. Let a be (h/21)/(2/15). Let i be -1 + -1 - (1 + -1). Put -3, a, i in increasing order. -3, i, a Suppose n + 56 = 5*n. Let j = 17 + -16. Let q be j - (-3 + 52/n). Put q, 0.4, 1/4 in descending order. 0.4, q, 1/4 Let v = 21.09 + -21. Let l = 1.09 - v. Let u = l - -4. Put 0, u, 4 in descending order. u, 4, 0 Let o = 18 - 18.3. Let g be (-15)/(-2)*3/30. Sort g, o, -5 in decreasing order. g, o, -5 Let b be (20/6)/((-20)/30). Put -15, b, -2, 0 in decreasing order. 0, -2, b, -15 Let p = 133 - 667/5. Put p, -5/12, -3, -2/23 in increasing order. -3, -5/12, p, -2/23 Suppose -3*t + 14 = y, 0*t + t + 5*y = 28. Let s = -184 - -1654/9. Let c = -2.6 + 2.4. Put t, c, s in ascending order. s, c, t Let m be 2 + -2*7/2. Suppose -4 = -s - 0. Suppose 0 = p - 0*p - s. Put p, m, 2 in decreasing order. p, 2, m Let k = 3 + -2. Suppose z + 1 + 1 = -4*p, 4*z = -3*p - 8. Sort k, 0, z in decreasing order. k, 0, z Let w = -55 - -61. Put 1/5, 0.4, w in increasing order. 1/5, 0.4, w Let k = -713/5 - -143. Put k, 5, 3/7 in descending order. 5, 3/7, k Let m be (-34)/9 - 12/54. Sort 3/5, 0.4, -2/9, m. m, -2/9, 0.4, 3/5 Let z = 0 + 1. Let l be (-6)/(-2 + 48/9). Let t = l + 109/55. Put z, t, 1/4 in decreasing order. z, 1/4, t Let c = 2 + 4. Let v = c + -5.5. Let n = 8/9 - 20/63. Put v, n, 1/6 in descending order. n, v, 1/6 Let s = -9 - -14. Suppose -3*x + 2*x = s*m + 13, -5*x - 7 = -4*m. Let l be (-1 - 1/x)*-6. Sort l, -6, 0 in decreasing order. l, 0, -6 Let h = -11.71 + -0.29. Put -2/5, h, 3/5, -1/6 in descending order. 3/5, -1/6, -2/5, h Let f be (-2)/(-28) - (-1)/(-2). Let m be 12/(-9) + (-8)/(-6). Sort m, f, 1/10 in descending order. 1/10, m, f Suppose 2*w + 30 = -2*l - 3*l, -2*w = 10. Let n be 58/70 - l/(-10). Sort 1/9, 2/9, n in ascending order. 1/9, 2/9, n Let y(u) = 1 - 2*u + u + 0*u. Let v be y(5). Suppose 4*n + 23 = 3. Put v, 3, n in increasing order. n, v, 3 Let x = -3.1 - -0.1. Let y = -1.04 + 1. Let t = y - 0.16. Sort -0.3, x, t in descending order. t, -0.3, x Let u(t) = t**2 - t - 3. Let l be u(3). Suppose -m = a, -5*m = l*a - 2 + 6. Sort m, 1, -3 in descending order. 1, m, -3 Let d = 4 + -2. Let b(g) = 2*g - 1. Let r be b(d). Let w be r - (-6)/(-9)*-3. Sort w, 2/9, 0. 0, 2/9, w Let q(h) = h**3 - h**2 + 2*h - 3. Let r be q(2). Suppose -a = 2*w + 15, -4*w + w = -r*a - 10. Let v = 8 - 4. Put 0, v, w in descending order. v, 0, w Suppose -h - 2*t - t = -4, 3*h + 3*t + 6 = 0. Put h, 4, -0.3 in ascending order. h, -0.3, 4 Let b = -12 - -9. Sort -8, 3, b in descending order. 3, b, -8 Let f = 72 + -73. Let w = 1 - -4. Sort -3, w, f. -3, f, w Let w(v) = -v**3 + 2*v**2 + 2*v + 3. Let u be w(3). Let z(a) = a**3 - 3*a**2 - 3*a - 5. Let c be z(4). Sort c, 5, u. c, u, 5 Suppose p + 3*g = -8, 3*g - 6 = -3*p - 0. Suppose -r - p = -2. Sort r, -2, 5. r, -2, 5 Let d be (-2)/6 + 1/3. Let t = -13 - -14. Sort 4, d, t in descending order. 4, t, d Let k = 59 + -41. Let o be (-3)/k + (-6)/4. Sort -1/6, o, 0. o, -1/6, 0 Let k(j) be the third derivative of 1/24*j**4 + 0*j + 0 - 3*j**2 - 1/6*j**3. Let a be k(2). Sort -2, a, 2 in descending order. 2, a, -2 Let h = -2.7 + -0.3. Let x be (6/9)/(4/3). Sort -3/8, x, h. h, -3/8, x Suppose -i + 3*v = 4*v - 3, -v = 3*i - 5. Suppose -4*k + i = 5. Sort k, 5, 1 in decreasing order. 5, 1, k Let b = 0.3 - 0.5. Let k = -5848/6125 + 46/49. Let q = -494/375 + k. Put 0.3, b, q in increasing order. q, b, 0.3 Let j = 5 + -5. Sort 2, j, -4. -4, j, 2 Let b = -10 + 20. Suppose -3*u - b = 2*u. Sort 2, 4, u in decreasing order. 4, 2, u Let u be (2 - 8/6)/(-6). Let c = u + -2/63. Let z = 9/14 + c. Put 4, z, 4/3 in descending order. 4, 4/3, z Let b = 53 + -56. Suppose 6 = -n + 2. Sort b, n, -1 in increasing order. n, b, -1 Let j be (-16)/(-140)*10/(-4). Let w = 16 - 14. Sort 0.4, j, w. j, 0.4, w Suppose 5*f + 0*f + 35 = 0. Let m be f*2/18 - -1. Put m, 0.1, 0.2 in increasing order. 0.1, 0.2, m Let s = 1 + 2. Let l(y) = -2*y**2 + 5*y - 2. Let b be l(s). Put 2, b, -3 in descending order. 2, -3, b Let j be ((3 - 3) + 2)*1. Suppose 25 = 3*w + j*w. Sort -4, w, 2 in descending order. w, 2, -4 Suppose -2*t = -2*v - 20, -2*t + 3 = 3*v - 37. Suppose -o = 2*l + 3*o - t, -3*l + 4*o + 61 = 0. Let g be (-9)/15 + 39/l. Put g, 1, 0 in descending order. g, 1, 0 Let z = 0.427 + -0.027. Sort 2, -1, z, 1 in descending order. 2, 1, z, -1 Let y = 4 - -1. Let b = y + -4. Sort -1/6, -4, b in decreasing order. b, -1/6, -4 Let k be 0 + 5/40*-1. Let z = 0.04 + -0.44. Let y = z - 0.1. Sort k, 2, y in descending order. 2
{ "pile_set_name": "DM Mathematics" }
tor -2*k**4 - 10*k + 9*k - 2*k**4 - 4*k**2 - 6*k**3 - k**o. -k*(k + 1)**4 Factor -18/5 + 2/5*y**2 - 16/5*y. 2*(y - 9)*(y + 1)/5 Let z(w) be the first derivative of -w**4/20 + w**3/5 + 7. Factor z(l). -l**2*(l - 3)/5 Let z = 3 + 0. Suppose -3*a - 2*l = -3 - 3, 17 = 5*a + l. Factor -2/9*i**2 - 2*i**5 + 0*i + 10/9*i**z - 2/3*i**a + 0. -2*i**2*(i + 1)*(3*i - 1)**2/9 Let c = -6 - -10. Factor -5*z**2 - 2*z - 7*z**c + 2 + z - 10*z**2 + 0 - 19*z**3. -(z + 1)**3*(7*z - 2) Let x(f) be the first derivative of -4*f**4 - 20*f**3 + 8*f**2 + 50. Factor x(j). -4*j*(j + 4)*(4*j - 1) Factor 1/4*u**2 - 1/4*u - 3. (u - 4)*(u + 3)/4 Let w(a) be the first derivative of -6*a**5/95 + 5*a**4/38 - 2*a**3/57 - a**2/19 - 9. Factor w(m). -2*m*(m - 1)**2*(3*m + 1)/19 Solve -1/3*l**3 + 2/3 - 2/3*l**2 + 1/3*l = 0. -2, -1, 1 Let u(m) be the third derivative of -m**8/84 - 4*m**7/105 + m**6/15 + 4*m**5/15 - m**4/6 - 4*m**3/3 - 19*m**2. Find n, given that u(n) = 0. -2, -1, 1 Factor -4/7*r**2 + 6/7*r**4 - 2/7 - 6/7*r + 4/7*r**3 + 2/7*r**5. 2*(r - 1)*(r + 1)**4/7 Let j be 1/4 + 7/4. Suppose -k = z + 4, -j*z + 0*k + 4*k + 16 = 0. Factor -7*x**3 - 2*x**2 + 5*x**5 + 3*x**4 + 2*x - x**2 + 0*x + z*x**3. x*(x - 1)*(x + 1)**2*(5*x - 2) Let a(z) be the second derivative of -z**7/7 + 74*z**6/45 - 89*z**5/15 + 2*z**4 + 27*z**3 - 18*z**2 + 5*z + 6. What is p in a(p) = 0? -1, 2/9, 3 Let r(y) = -y**5 - y**2. Let c(f) = 24*f - 3*f**5 - 15*f - f**2 + 4*f**3 - 11*f. Let z(w) = 2*c(w) - 2*r(w). Suppose z(u) = 0. What is u? -1, 0, 1 Factor 0 - 10*v**5 + 5*v**5 - 10*v**4 + 0 + 10*v**2 + 5*v. -5*v*(v - 1)*(v + 1)**3 Let l(r) = r**2 - 6*r - 11. Let d be l(8). Determine s so that d + 7*s + 0*s + 2*s**4 + s + 3 - 6*s**2 - 4*s**3 = 0. -1, 2 Let m(d) = -d**2 - 3*d - 4. Let s(q) = 2*q**2 + 7*q + 9. Let c(t) = 9*m(t) + 4*s(t). Let g(v) = 5*v**2 + 4*v. Let n(i) = -2*c(i) + g(i). Factor n(r). r*(7*r + 2) Determine p so that 5*p**2 + 4*p**2 + 32*p - 5*p**2 + 64 = 0. -4 What is j in 0*j**2 + 0 + 0*j - 1/3*j**3 = 0? 0 Let h(b) be the second derivative of -b**6/450 - b**5/200 + b**4/120 - 5*b**3/6 + 3*b. Let z(u) be the second derivative of h(u). Let z(w) = 0. Calculate w. -1, 1/4 Factor 6*k**3 + 3*k + 2*k**5 - 12*k**3 + k**5. 3*k*(k - 1)**2*(k + 1)**2 Suppose 2*u - u = -3*r + 5, -5*u = -3*r + 11. Let l be (u + 0)/(4/(-16)). What is o in 6/5*o**3 + 6/5*o**2 + 2/5*o + 2/5*o**l + 0 = 0? -1, 0 Let d = -7/3 - -8/3. Let w(z) be the first derivative of -3 - d*z**3 + z**2 - z. Factor w(o). -(o - 1)**2 Factor -4/3*t**2 + 4 + 8/3*t. -4*(t - 3)*(t + 1)/3 Let m(r) be the third derivative of r**7/315 - r**5/45 + r**3/9 + 27*r**2. Suppose m(k) = 0. Calculate k. -1, 1 Suppose -2 = 2*f, 3*f + 9 - 2 = 2*j. Factor -1/2*s + 1/6*s**j + 1/3. (s - 2)*(s - 1)/6 What is u in -3/2*u - 1/2*u**2 - 1 = 0? -2, -1 Let q(y) = 4*y**2 + 0*y**2 + 3*y**2 + y**3 + 4*y + 0*y**3 - 8. Let z be q(-6). Solve 2*o + 2*o**z - 2*o + o**3 - 3*o**3 = 0 for o. 0, 1 Let x be ((-1)/5)/(3/5 - 1). Suppose -2*u**4 - 3*u**3 - 1/2*u**5 + 0 - x*u - 2*u**2 = 0. Calculate u. -1, 0 Let p be (6 - 1 - -1) + -6. Factor 2/11*v**5 + 2/11*v**4 + 0*v + p - 2/11*v**3 - 2/11*v**2. 2*v**2*(v - 1)*(v + 1)**2/11 Let v(s) = s**2 - 13*s + 27. Let r be v(11). Suppose -6/5*o**r + 8/5*o - 4*o**4 + 36/5*o**2 - 16/5 - 2/5*o**3 = 0. Calculate o. -2, -1, 2/3, 1 Let y(b) be the third derivative of -b**7/42 + b**6/24 + b**5/12 - 5*b**4/24 + 13*b**2. Suppose y(q) = 0. What is q? -1, 0, 1 Suppose -3*m - 3 = -9. Let o(q) = -33 + 4 - 20*q**2 + 36*q - 12*q**m. Let l(t) = 11*t**2 - 12*t + 10. Let c(w) = 17*l(w) + 6*o(w). Solve c(a) = 0. 2/5, 2 Let d(c) = -c**3 + 4*c + 3. Let w(f) = f**3 - f**2 + f + 1. Let x be 7/(-14) + 14/4. Let b(z) = x*w(z) - d(z). Find l such that b(l) = 0. -1/4, 0, 1 Suppose 21 = z + 19. Let n(m) be the third derivative of -2/105*m**7 + 0 + 0*m**4 + 0*m**3 + 2*m**z + 0*m + 1/60*m**5 + 1/40*m**6. Let n(y) = 0. What is y? -1/4, 0, 1 Suppose -1/6*q**2 + 5/6*q + 0 = 0. Calculate q. 0, 5 Factor 4*d**4 + 53*d**2 + 11*d - 139*d - 32*d**3 + 64 + 43*d**2. 4*(d - 2)**4 Let o = -5/34 + 28/17. Let a(z) be the first derivative of o*z**2 - z**3 + 1/4*z**4 - 3 - z. Factor a(v). (v - 1)**3 Let l(r) = r**2 + 10*r + 2. Let y be l(-10). Let 3*a - 3*a**3 + 3*a**4 + 2*a**2 + 0*a**y + a**2 - 6*a**2 = 0. Calculate a. -1, 0, 1 Let a(z) be the third derivative of 0 + 0*z - 1/60*z**5 - 1/3*z**3 + z**2 - 1/8*z**4. Solve a(w) = 0 for w. -2, -1 Let d(s) = -8*s. Let c(g) = -g**2 + 8*g - 1. Let h(u) = -4*c(u) - 3*d(u). Factor h(v). 4*(v - 1)**2 Let j(m) be the third derivative of m**5/150 + m**4/30 + m**3/15 + 8*m**2. Factor j(f). 2*(f + 1)**2/5 Let x(z) be the first derivative of -10*z**6/3 + 52*z**5/5 - 9*z**4 - 4*z**3/3 + 4*z**2 - 13. What is t in x(t) = 0? -2/5, 0, 1 Let g be 3 - (0 + 20/12). Suppose 2/3*z**4 + 2/3 + 0*z**3 - g*z**2 + 0*z = 0. What is z? -1, 1 Determine h, given that 2/7*h**4 + 8/7*h**3 + 10/7*h**2 + 0 + 4/7*h = 0. -2, -1, 0 Suppose -127/4*y**4 + 5*y**5 - 87/4*y + 1/4*y**2 + 211/4*y**3 - 9/2 = 0. Calculate y. -2/5, -1/4, 1, 3 Let a(n) be the third derivative of n**6/240 - n**5/30 - 11*n**4/48 - n**3/2 + 5*n**2. Find g, given that a(g) = 0. -1, 6 Let r = 99 + -887/9. Let o = -10/63 + r. Find a such that -10/7*a**2 - 8/7 - 16/7*a - o*a**3 = 0. -2, -1 Let j(h) be the second derivative of 1/3*h**3 + 1/720*h**6 + 0 + 0*h**4 + 0*h**2 - 1/240*h**5 - h. Let v(f) be the second derivative of j(f). Factor v(o). o*(o - 1)/2 Let g(m) be the second derivative of -m**7/1960 - m**6/210 - 2*m**5/105 + m**4/3 - 7*m. Let c(p) be the third derivative of g(p). Find a, given that c(a) = 0. -4/3 Solve -3/4*i**2 + 3/4*i**3 + 1/4*i - 1/4*i**4 + 0 = 0. 0, 1 Let w = 518 + -3604/7. Let w*l + 2*l**3 - 4/7 - 32/7*l**2 = 0. What is l? 2/7, 1 Suppose t - 3*t + 4 = 0. Factor -2*v**4 + 7 + t*v**2 - 7. -2*v**2*(v - 1)*(v + 1) Let k(s) = -69*s + 1. Let b be k(-1). Suppose -2*z + 3*z + 4*c + 6 = 0, -5*c - b = -5*z. Factor -3*m**3 - 2*m**2 - 2*m**3 - 4*m**4 + m**5 + 0*m**5 + z*m**3. m**2*(m - 2)*(m - 1)**2 Let i = 853 - 851. Factor -2/7 - 2/7*f**i + 4/7*f. -2*(f - 1)**2/7 Let f be (-1)/(-5)*((5 - -1) + -4). Factor -f*i**2 + 6/5*i - 4/5. -2*(i - 2)*(i - 1)/5 Let y = 3886007 - 8490924411/2185. Let x = -2/437 + y. Determine r, given that 0*r + 0*r**3 + 0 + 2/5*r**2 - x*r**4 = 0. -1, 0, 1 Let i(f) = -f**2 - 64*f + 137. Let t(m) = -16*m + 34. Let r(a) = 2*i(a) - 9*t(a). Solve r(o) = 0. 4 Suppose 0 = -5*b + 4*c - 2, b - 12 + 1 = -3*c. Factor 2 + 9*p**2 - 6*p**2 - 5*p**2 + b*p - 2*p**3. -2*(p - 1)*(p + 1)**2 Let w(g) = -g**5 + 7*g**4 - 12*g**3 + 13*g**2 - 5*g - 1. Let x(y) = -y**4 - y**3 - y**2 + y + 1. Let z(a) = 2*w(a) + 2*x(a). Factor z(s). -2*s*(s - 2)**2*(s - 1)**2 Let x = -1/391 - -1567/1173. Factor 2 + 2/9*s**2 - x*s. 2*(s - 3)**2/9 Let p(t) be the first derivative of t**4/2 + 10*t**3/3 + 8*t**2 + 8*t + 1. Factor p(n). 2*(n + 1)*(n + 2)**2 Let t(k) be the third derivative of 0*k + 4*k**2 + 0 + 0*k**3 - 1/10*k**5 + 1/8*k**4 + 1/40*k**6. Let t(i) = 0. What is i? 0, 1 Let s(a) be the first derivative of -5*a**6/6 + 5*a**4 + 10*a**3/3 - 15*a**2/2 - 10*a - 2. Suppose s(d) = 0. What is d? -1, 1, 2 What is x in -30*x - 4*x**2 - 7*x**2 - 3*x**2 - 18 - 2*x**3 = 0? -3, -1 Factor 4*g**2 - 8*g**3 + 11*g**3 - 2*g**2. g**2*(3*g + 2) Suppose -3*i - 3*h = -5*i + 8, 0 = 5*i - 2*h - 20. Factor -1/3*b**3 + 1/3*b + 1/3*b**2 + 0 - 1/3*b**i. -b*(b - 1)*(b + 1)**2/3 Let y(n) be the first derivative of -4 - 1/6*n**6 - 2/3*n**3 + n + 1/2*n**4 - 1/2*n**2 + 1/5*n**5. Find x such that y(x) = 0. -1, 1 Factor -5/3*b**3 + 1/3*b**4 + 0 + 8/3*b**2 - 4/3*b. b*(b - 2)**2*(b - 1)/3 Suppose -2*n = -3*x - 223 + 750, 0 = -2*n - x - 507. Let j be 2/(-9) + n/(-504). Determine m so that -2/7 - 2/7*m + 2/7*m**2 + j*m**3 = 0. -1, 1 Let z(p) = -p**2 + 12*p - 18. Let d be z(10). Factor -2/3*r**5 - 4/3*r**d + 0 + 4/3*r**4 + 2/3*r + 0*r**3. -2*r*(r - 1)**3*(r + 1)/3 Suppose -882 + 857 = -5*y. Let h be 2 - ((0 - 0) + 0). Let -3*g**3 + 2*g**h + 0 + 2*g**4 - 1/2*g - 1/2*g**y = 0. What is g? 0, 1 Factor -9*t**2 - 4*t + 6*t + 3*t**3 + 4*t. 3*t*(t - 2)*(t - 1) Let w(g) be the second derivative of -g**6/75 + g**5/50 + 2*g**4/15 - 4*g**3/15 + 10*g. Factor w(o). -2*o*(o - 2)*(o - 1)*(o + 2)/5 Factor 5 + 40*f**2 - 40*f**3 + 0 - 20*f + 20*f**4 - 1 - 4*f**5. -4*(f - 1)**5 Let
{ "pile_set_name": "DM Mathematics" }
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False Is 22007 prime? False Is 65150609 a prime number? True Is 63182941 prime? True Is 99875753 a composite number? True Is 41772827 a prime number? True Is 2931779 a composite number? False Is 66365549 prime? True Is 47532353 composite? True Is 863879 a prime number? True Is 1454641 prime? False Is 961420271 a prime number? False Is 11585027 a prime number? False Is 84526391 prime? True Is 118364483 a prime number? True Is 2396803 prime? True Is 1138871 composite? True Is 3764993 prime? True Is 11123393 prime? True Is 7374439 composite? True Is 20461171 a composite number? False Is 212293 a composite number? False Is 53068777 a composite number? True Is 3719519 prime? True Is 2152811 a composite number? False Is 18093787 prime? True Is 437467 prime? True Is 14140411 prime? True Is 31812179 a composite number? True Is 8758681 a composite number? True Is 616272693 a prime number? False Is 15590617 prime? False Is 1623187 a prime number? False Is 6609677 composite? True Is 1248221 a prime number? False Is 594535 a composite number? True Is 35925341 prime? True Is 2107979 a composite number? False Is 49159267 a composite number? True Is 1689253 a composite number? False Is 452786053 a composite number? False Is 26395091 a prime number? True Is 26244899 a composite number? False Is
{ "pile_set_name": "DM Mathematics" }
06158 (b) 5 (c) -0.2 (d) -4/9 d Which is the closest to 1.3? (a) -29 (b) -0.2 (c) 2 c Which is the closest to -1/4? (a) -0.5 (b) 2/279 (c) -1 (d) 5/2 (e) 3/5 a Which is the closest to 4? (a) 57/8 (b) -1/3 (c) 4 (d) 0.4 c What is the nearest to 1 in 40.9, 2/3, -0.3, 4, -0.05? 2/3 Which is the nearest to -1/4? (a) 0 (b) -1.9 (c) 0.2 (d) 2/31 a What is the closest to -20 in 9, 44, 3/5? 3/5 What is the nearest to 10/649 in 5/3, -2/45, -1? -2/45 What is the nearest to 6/11 in -16, -1/2, -5/4, -26, 0.4? 0.4 Which is the closest to 7355? (a) -3 (b) 13 (c) -1/2 b Which is the nearest to 1/4? (a) 2/3 (b) -1/5 (c) 0.08 (d) 7 (e) -4 c What is the nearest to 0.1 in -21, 2, 125/8, 3? 2 Which is the nearest to -1? (a) -76 (b) -1 (c) 43 (d) -4 (e) 2/3 b What is the closest to -0.1 in -939, -5, -4, -0.3? -0.3 Which is the closest to -2/7? (a) 3/26 (b) 208 (c) -4 a Which is the closest to 0? (a) -1/2 (b) -505 (c) -4/3 a What is the closest to 10 in 0.4, -0.3, 31, -0.93, -1? 0.4 Which is the nearest to 3? (a) 3 (b) 0.075 (c) -31 a What is the closest to 2/5 in 16, 0, 0.143, 1/7, 0.5? 0.5 What is the nearest to 0.1 in 6, -1, 0.1? 0.1 What is the nearest to 1 in 92, 3944, 2, 5? 2 Which is the closest to -1? (a) -0.5 (b) 0.1 (c) -0.9 (d) 82 (e) -0.01 c What is the nearest to 0 in 1/5, -5, 6/7, 22.9? 1/5 What is the closest to 23/9 in -3, 5, -7, -1/9? 5 Which is the closest to 2/3? (a) 2/9 (b) -1752 (c) -5 a What is the closest to -31 in 119, -0.1, -2? -2 Which is the nearest to 0.2? (a) 5 (b) -13 (c) 1720 (d) -1 (e) 1 e Which is the closest to -0.1? (a) -3/8 (b) 8 (c) 0.2 (d) 2/15 d What is the nearest to 1/4 in 1, 298, 31? 1 Which is the nearest to -0.2? (a) 1/5 (b) 10/49 (c) 1/11 c Which is the nearest to 1? (a) 0.1 (b) -90 (c) -0.025 (d) 5 (e) -2/5 a What is the closest to 0 in 1/2, 2/39, -2/21, 53? 2/39 Which is the nearest to -5? (a) 0 (b) 14.9 (c) 10/23 a What is the nearest to 2/33 in 3/2, 1/4, 3, -5? 1/4 What is the nearest to 0.8 in -4, -29/4, 0.5? 0.5 What is the closest to -2099 in -3, 0.1, 1/8? -3 Which is the closest to 0.056? (a) -1 (b) 2/61 (c) -0.3 (d) 4 b What is the nearest to 5 in -17, -5, -4, 0.2, 9? 9 What is the closest to -0.135 in -445, -4, 0.4? 0.4 Which is the nearest to -1/5? (a) 0.08 (b) 3 (c) 1/2 (d) 5/23 (e) -3 a Which is the closest to -650? (a) -8 (b) 2/3 (c) 0.03 a Which is the closest to 0.53? (a) -0.1 (b) 0.127 (c) -3/8 b What is the closest to -2/3 in 25, -11, 3/7, -0.5? -0.5 What is the nearest to 0.02 in 0.4, -7, 2/55, -5? 2/55 What is the closest to 0 in -12, -43/2, -5, 133, -4? -4 What is the nearest to 0.1 in 1, 1.5, -23/143, -1/5? -23/143 Which is the closest to 71? (a) 0.8 (b) 1/5 (c) 138/19 c Which is the nearest to -1? (a) -2 (b) 0.8 (c) 89 (d) -2/7 (e) -2/17 d Which is the closest to -2/3303? (a) -4 (b) 2 (c) 3 b What is the nearest to 1 in 2/9, -2/13, 0.3, 421, 1/16? 0.3 Which is the closest to 1/2? (a) 0.2 (b) 2/9 (c) 5/3 (d) 3/98 b Which is the nearest to 0.1? (a) -3 (b) -392 (c) -0.1 (d) 0 d What is the nearest to -1 in -17, 24.42, -1/4, -2/5? -2/5 What is the nearest to 5 in -12, 0.4, -0.17? 0.4 Which is the closest to -0.01? (a) -0.36 (b) -2/9 (c) 1/4 (d) -1.2 (e) -8 b Which is the closest to 0.1? (a) -1 (b) -2.1 (c) 42.3 a What is the closest to -2 in -0.155, 2, 5.3? -0.155 What is the nearest to -37 in 2, 16, -0.2, -1? -1 What is the closest to -1 in 26, 15, 8? 8 Which is the closest to -3? (a) 692 (b) -5 (c) 1 (d) -0.4 b Which is the nearest to 1/3? (a) -5 (b) -1/6 (c) -10946/5 b Which is the closest to -0.58? (a) 9880 (b) 4 (c) -5 c What is the closest to -5/2 in 4, 123, -17? 4 Which is the closest to 0? (a) -1 (b) 4 (c) -2/17 (d) 5/122 d What is the closest to 0.06 in 1, -7, -0.2, 56.9? -0.2 What is the closest to -0.02 in 9, -0.1, 5, 69? -0.1 Which is the nearest to 0? (a) -5/6 (b) -4 (c) -1 (d) -1/206 (e) -7 d Which is the closest to 1? (a) -6 (b) -35/2 (c) 0.5 c Which is the nearest to 0.1? (a) -4/27 (b) 0 (c) -3/5 (d) 93 (e) 1/4 b What is the closest to 1 in 1/21, 2, 10, 3/2? 3/2 Which is the nearest to 57? (a) -0.3 (b) 143 (c) -5 (d) -3 a Which is the nearest to -20? (a) 135 (b) 1/4 (c) -4 c Which is the nearest to -652? (a) 1/4 (b) -0.4 (c) -1 (d) -0.002 c Which is the closest to 0.1? (a) -18/13 (b) -2/21 (c) -1/3 b What is the closest to 0.1 in -0.2, 52, 1/47, -7? 1/47 Which is the closest to 2? (a) 1/7 (b) -407 (c) -2/5 (d) -0.2 (e) 5 a Which is the closest to 3? (a) -3/5 (b) -2/61 (c) 0.5 c Which is the nearest to -1? (a) 25979 (b) 0 (c) -5 b Which is the closest to 13? (a) 0.2 (b) 5 (c) -3/5 (d) 0 b What is the nearest to -2/77 in -0.3, 4, -1/2, 1/2, -5? -0.3 Which is the closest to 0.1? (a) -0.4 (b) -0.12 (c) -3/8 (d) 7 b What is the nearest to -0.04 in -0.2, 0.013, 50? 0.013 Which is the nearest to -2/7? (a) 69 (b) -2/7 (c) -0.4 (d) -22/41 b Which is the closest to -2.08? (a) -1 (b) -2 (c) 5 (d) -8 b What is the nearest to -815 in 14, -5, 3/4, -3? -5 Which is the nearest to 0.021? (a) 5 (b) -1.6 (c) -2/5 c What is the closest to 0.2 in -5, 3, 3/19, -91? 3/19 Which is the closest to -2/113085? (a) -0.4 (b) 2 (c) -0.5 a What is the nearest to 2/7 in 32/11, -0.5, -0.1? -0.1 What is the closest to 0.2 in -16, 0.6, 0.04, -0.7? 0.04 What is the closest to -0.1 in 4, 95, 11/21, -4? 11/21 What is the nearest to 6 in 0.3, -2/7, 6, 45? 6 Which is the closest to 0.1? (a) 1.5 (b) 11 (c) 1/3 c Which is the nearest to -2/7? (a) 2/213 (b) 5/3 (c) -0.7 (d) 2 a Which is the closest to 0.05? (a) -1 (b) -1.9 (c) -9/5 (d) -2/7 (e) -1/3 d What is the closest to 2 in -2/7, 27, 8, -1/2? -2/7 Which is the nearest to -1137? (a) -4/3 (b) -0.3 (c) -1.3 (d) 5 (e) 2/7 a What is the nearest to 3379 in -0.4, -4, -2/9? -2/9 What is the closest to -1.11 in 53, 1, 0, 0.5, -1? -1 What is the closest to 4 in 2/7, -278, -4? 2/7 Which is the nearest to 2/17? (a) -0.2 (b) 0.2 (c) 1.8 (d) 116 b What is the closest to -1/5 in 0.5, 155, -65? 0.5 Which is the closest to -4? (a) 8 (b) -7 (c) -2/9 (d) 1/3 (e) -17 b Which is the closest to -2/3? (a) -4/7 (b) -0.4 (c) -11592 (d) 2/5 (e) 3 a What is the closest to -0.3 in -3, -10, -0.4, -18/7, 0? -0.4 What is the closest to 2/11 in 0.09, -2, 1226, -3, -0.5? 0.09 What is the nearest to -262 in 0.4, 0.14, -0.02, 4? -0.02 Which is the nearest to 515? (a) 1/6 (b) 0 (c) -0.18 (d) -3 a Which is the nearest to -1/11? (a) 9 (b) 3/7 (c) 52 b What is the closest to 1/41 in -0.0255, 0, -2/7? 0 What is the nearest to 2 in -4/21, -5, -1/6, 243? -1/6 What is the nearest to -0.04 in -3/2, 137/7, 0.4? 0.4 What is the closest to 0.06 in 1, 3/8, -2/127, -44? -2/127 Which is the closest to -319? (a) -5 (b) 3/4 (c) -2 a What is the nearest to -1/5 in -296/45, 1/3, -5, 0.2? 0.2 What is the nearest to -1/4 in 6.5, -1/9, 0.5, -0.12, 2? -0.12 Which is the nearest to 2? (a) 2/9 (b) -1/3 (c) 2/11 (d) -2678 a What is the closest to 0.22 in -65, -0.0553, 0.4? 0.4 What is the nearest to -1 in -1, 3.061462, -4? -1 What is the nearest to -12 in 0.3, 0, -4, 742? -4 Which is the closest to -2/7? (a) -4/5 (b) 1/26 (c) 8 (d) -0.2 (e) -1/7 d Which is the nearest to 3/22? (a) 20/7 (b) -4/5 (c) 5 b Which is the nearest to -1/3? (a) 2.3 (b) -7 (c) 49 a Which is the closest to 0.1? (a) -0.1 (b) 732 (c) -2/17 a What is the nearest to 0 in -1/3, 1/2, 1, -3.5? -1/3 What is the nearest to 3 in 3/7, 53/3, -13? 3/7 Which is the nearest to 3/5? (a) 9/7 (b) -5 (c) 6 (d) -0.6 (e) 0.46 e Which is the nearest to 4827/5? (a) 1 (b) 0.07 (c) 0.1 a What is the closest to 2 in 5, -16, -4, 6/11, -1/2? 6/11 What is the nearest to 3 in -3/8, -2.2, 5, -8.42? 5 What is the nearest to -0.3 in -0.5, 1/76, -2/5? -2/5 What is the closest to 1 in -1152, -6, 1, -1/6? 1 What is the closest to -0.23 in 2/15, 0, -17, -2/29, -0.5? -2/29 What is the closest to 2 in 3/4, -102, -14, -1/5? 3/4 What is the closest to 6/7 in 0, 3/8, -0.5, 5, -6? 3/8 What is the nearest to -3 in 0.4, 200, 2/3, -0.12? -0.12 Which is the nearest to -8? (a) 7 (b) -0.5 (c) 0.33 (d) -4 d What is the closest to 0.1 in -0.9696, 0.3, 1? 0
{ "pile_set_name": "DM Mathematics" }
hat is the biggest value in x, 0, 3, 1/2? 3 Let x = 650 - 571. What is the third smallest value in -1/3, x, -1? x Let x = 3.2 + -0.7. Let b = x + -3. Let d be (108/(-216))/(-1 - -3). What is the second biggest value in 1, d, b? d Let u = 2 - 1.5. Let s = -41/3 + 79/6. Let f = 6 + -9. Which is the smallest value? (a) u (b) f (c) s b Suppose 4*w + 2*f + 0*f - 12 = 0, 4*f = -w - 4. Which is the biggest value? (a) 58 (b) w (c) -3 a Let x = -11 + 6. Let l(r) = -3*r**3 - r**2 - r + 5. Let q be l(0). Which is the third smallest value? (a) x (b) -2 (c) q c Suppose -d + 3*d = -16. Let l be (-2)/d - 1/(-2). Suppose -7*o + 9*o + 6 = -2*w, 0 = -4*o - 3*w - 11. What is the second biggest value in l, o, -0.1? -0.1 Let d(k) = k - 4. Let n be d(5). Suppose m - 1 = -3*i, m + 5*i - 5 = -0*m. Let u be (0 + n)*(m - -9). What is the second smallest value in 0, u, -1? 0 Let h = 3245/7 - 463. Which is the second biggest value? (a) h (b) -2 (c) -1/6 c Let m be 224/240 - (-2)/5. Let z = 0.2 - -0.4. Which is the second smallest value? (a) z (b) -1/3 (c) m a Let z = -44 - -44.032. Let s = -0.368 - z. Let m = -5 + 8. Which is the third smallest value? (a) 0.2 (b) s (c) m c Let j = 1 - 1.4. Let d = 416 + -3742/9. What is the second smallest value in -0.12, j, d? -0.12 Let i = -321 - -324. What is the smallest value in i, -7, -0.8? -7 Let i = 221 + -218.9. Which is the third smallest value? (a) -1 (b) 2/13 (c) i c Let y be ((-4 + 10/3)/2)/1. Which is the second smallest value? (a) -5/6 (b) -10/7 (c) y a Let w be 1439035/(-35)*(-1)/15. Let t = 2741 - w. Let n = -323/420 - t. What is the third smallest value in -1, -2, n? n Let f = -643/762 + 4/381. Which is the third biggest value? (a) 4/3 (b) f (c) 3/28 (d) 0.3 c Let h = 144 + -142. Which is the third smallest value? (a) 1 (b) -2/25 (c) h (d) -1 a Let q = -26 + 63. Let o = q - 23.9. Let u = -13 + o. Which is the smallest value? (a) u (b) -1/3 (c) -0.07 b Let m(q) = -q**3 - 2*q**2 - 3*q - 1. Let y be m(-2). Let l be (-1)/6*-27 + 5/(15/(-6)). Which is the second biggest value? (a) y (b) 0.4 (c) 2 (d) l d Let b = 3.546 + 0.454. Let o = -4 - -3. What is the biggest value in -3, b, 1/9, o? b Let p(r) = -3*r - r**2 + r**3 + r**2 + 3*r**2. Let j be p(-4). Let n = -1.34 + 1.54. Which is the third smallest value? (a) j (b) n (c) -0.5 b Let h = -3086538 - -2447624124/793. Let x = h - 64/61. Let z = x - -40/39. What is the third smallest value in z, 4, -4? 4 Let a = -214.5 + 203.5. What is the fourth smallest value in -3/5, -2, 2, a? 2 Let m = 417 + -536. Which is the biggest value? (a) 2/13 (b) 5 (c) -3 (d) m b Let c = 39.8 - 48. Let y = 7 + c. Let b = -0.06 - 4.94. What is the second biggest value in y, b, -3? -3 Suppose 3*m - m - 4 = 0. Suppose -m*r + 9 = -11. Let x be r/(-30)*(-4)/(-2). What is the third smallest value in 3, 5, x? 5 Let n = -0.8 + 1.1. Suppose -u + 16 + 48 = -3*r, -100 = -2*u - r. Let i = 52 - u. What is the biggest value in -3/8, i, n? n Let z(v) = 173*v - 20 - 81*v - 87*v. Let j be z(5). What is the smallest value in 48, j, 1? 1 Suppose -68 = s + 11*s - 20. Let t = 0.03 + -0.43. Which is the third biggest value? (a) s (b) t (c) 9 a Let k = 408 + -407. Let a = -23 - -5. Let l be ((-3)/a)/(2/(-9)). What is the second biggest value in k, -3/8, l? -3/8 Let z(w) = 3*w**2 - 15*w + 20. Let d be z(5). What is the biggest value in 0.3, d, 2/9? d Let r be (-46)/66 + 2/6. Let h = -27.6 - -28. What is the biggest value in r, 2, h? 2 Let h = -2.75 + 38.45. Let q = h - 36. Let b = -3.5 - -3. What is the second biggest value in b, q, 0? q Let n = 9 + -14. Suppose 0 = -8*r - 4*r. Which is the second smallest value? (a) -0.08 (b) n (c) r (d) 2 a Let h = -1100 - -1107. What is the biggest value in -4/3, h, 5, 4? h Let s = -262/75 + 499/150. Let x = 1.1 - 0.1. Let y = x + 0. What is the third smallest value in y, 0.4, s? y Let t = -195 - -194.9. Let g be -2*((-5)/(-4))/(-5). Which is the second biggest value? (a) t (b) g (c) -4 a Let t = -499.7 + 472. What is the fourth smallest value in -3, -3/5, 1/7, t? 1/7 Let d = 0.013 + 3.987. Let o be 18/12*(-23)/3. Let p = -10 - o. What is the second biggest value in 2, d, p? 2 Let b = 0.556 - -0.044. Let y = 8 + -8.3. Let j = y + b. What is the smallest value in j, 2/17, 0.4? 2/17 Let i(y) = -y**2 + 17*y - 33. Let f be i(15). Suppose -6 = w - 0. Let o be w/(-39) - -3 - 3. Which is the biggest value? (a) o (b) f (c) 3 c Let q = 5.213 + -0.213. Which is the third smallest value? (a) -378 (b) q (c) -1 b Let c = 27.2 + -0.2. Let d = -93 - -115. Let f = d - c. What is the smallest value in -3, 0, f? f Suppose 316 = 4*o - 0*o. Suppose 9*n + o = -407. Let r = n + 217/4. What is the smallest value in 2, r, -3/2? -3/2 Let s be (((-2)/7)/(-2))/(123/287). What is the second biggest value in -0.5, s, 1/5? 1/5 Let i = 7.7 - 12.5. Let k = i - -7.8. What is the biggest value in 2, k, 0.1? k Let n = 2 + -2. Let v = 0.1 - -4.9. Let m = -30.8 + 30.7. What is the second biggest value in m, v, n? n Let h(v) = 4*v - 5. Let r be h(-9). Let u = 8648/3 + -2842. Let p = u + r. Which is the biggest value? (a) 3 (b) -7 (c) p a Let c = 12 - 17. What is the third biggest value in 0.5, -4, 0.2, c? -4 Let l be 17/21 + 2/(-3). Suppose -3*m = -5 - 4. Let x be 2*m/(-6) + -4. What is the second smallest value in 0.4, x, l? l Let q = 2.7 + -8. Let k = -3.2 + -1.8. Let n = q - k. Which is the second smallest value? (a) n (b) 0 (c) -2 a Let m be ((4/(-40))/1)/((-3)/(-6)). What is the fourth biggest value in -2/5, 0.4, m, 0.02? -2/5 Let s = -98.1 - -98.11. What is the second biggest value in 3, 1, s, -0.1? 1 Suppose 20*l - 33*l = -18*l - 20. Let d(s) = -s**3 - s**2 - s. Let c be d(-1). Let t be c/(-3) + (-2)/2. What is the third biggest value in t, l, -1/5? l Let w = 46 - 43.7. Let f = 2.3 - w. What is the second smallest value in f, 2/7, 1/3? 2/7 Suppose 0*m = 3*m + 3. Let z = 83 - 82.98. Which is the smallest value? (a) -4 (b) m (c) z a Let u = -0.02 + -0.08. Let v = -2.9 + -39.1. Let q = 39 + v. Which is the third smallest value? (a) -1 (b) u (c) q b Let f(d) = d**3 - 13*d**2 - d + 10. Let b be f(13). Let c = 530/7 + -76. What is the second biggest value in b, 6, c? c Let k = 1.537 + -3.537. Let r = 163 + -1301/8. Which is the third smallest value? (a) r (b) k (c) 2 (d) 3 c Let w be 1/19*-2 - (-702)/171. Which is the second smallest value? (a) w (b) -95 (c) -0.4 c Let u = 6907 + -6908. Let g be (-4)/(-14)*7/(-3). What is the third smallest value in -0.6, g, 3/5, u? -0.6 Let w be 2 + 30/(-640)*2*21. Let u = w - -15/32. Which is the second smallest value? (a) -5 (b) -0.05 (c) u b Let l = 543.7 - 552. Let n = -0.1 + -3.2. Let s = l - n. Which is the biggest value? (a) 3 (b) s (c) -2 a Let q be (-1)/(5*1 - 1). Let y = 13769 + -13768.9. What is the smallest value in y, q, 0.3, -2? -2 Let i = -36.2 + 40.2. Let k = -0.6 + 0.4. Which is the fourth biggest value? (a) 5 (b) i (c) -2/3 (d) k c Let u = 1457 - 1457.05. What is the smallest value in u, -1/3, 3/7? -1/3 Let g = 41.968 + -42. Let k = 3.032 + g. Suppose -3*q + 0*q - 12 = 0. Which is the third biggest value? (a) q (b) -1 (c) k a Let x be 728/(-4732) - (47/117 + -1). What is the fourth smallest value in -1, -85, 1/9, x? x Let l = 2424 - 2421.081. Let r = l - -0.081. Which is the second smallest value? (a) 0 (b) r (c) 2 (d) -1/3 a Suppose 0 = 3*s + 2*i - 6*i - 4, 0 = 5*s - 4*i + 4. Let c be (-2)/s*(-2 + 78). What is the smallest value in c, 4/3, 0.3? 0.3 Let i = -58 - -64. What is the second biggest value in 0.1, 5, i, 4/3? 5 Let y = -0.2 + 0.2. Let o = y - 3. Let j be (-4 - 72/(-15)) + (-168)/260. What is the smallest value in j, 4, o? o Let k = -309 - -307. What is the third smallest value in k, -3, -17/5? k Let l = 1571 + -1570.5. What is the fourth biggest value in 0.2, -152, 1/3, l? -152 Let f(n) = -6*n**3 + n**2. Let j be f(-1). Let s = -40 + 81/2. What is the second biggest value in s, -3, j? s Let y be (3/(-24))/((-6)/(-8)). Let h = -4.65 + 4.35. Which is the second smallest value? (a) 0 (b) y (c) h b Let g(y) = y + 1. Let i be g(3). Let o be 35/98*i/10. Which is the third biggest value? (a) -0.2 (b) o (c) -12 c Let k = 38/3 - 412/33. Suppose -35*x + 40 = -27*x.
{ "pile_set_name": "DM Mathematics" }
value in 448, 2/1077, 5? 448 What is the sixth biggest value in 2, -1, 10.737, 0.3, 1/4, -6? -6 What is the second smallest value in 0.4, 17091, -4, -137, 3? -4 What is the fifth smallest value in 0.02625, 1/3, -0.05, 4/5, 2, 2/21? 4/5 What is the sixth smallest value in -3, 0.5, -4/7, 166, 1/11, -15/11? 166 Which is the third biggest value? (a) -457/194 (b) 4 (c) 0.3 (d) 0.1 d Which is the biggest value? (a) 1 (b) -0.5 (c) -33826 (d) -305 a Which is the fifth biggest value? (a) 92 (b) -0.5 (c) 2 (d) 268.4 (e) -0.3 b What is the third biggest value in 5, -2/13, -0.0561, -120, 95? -0.0561 Which is the second biggest value? (a) -0.12 (b) 2 (c) -1/5 (d) -45 (e) -0.3 (f) -5 a What is the fourth smallest value in 261, 0.01, 1/7, -0.03, 0.4? 0.4 Which is the smallest value? (a) 0.22 (b) 2/9 (c) -0.1 (d) 84 (e) 7.7 c Which is the fifth smallest value? (a) -0.3 (b) 1/4 (c) 0.4 (d) 0 (e) -249 (f) -0.2 (g) 6 b What is the third biggest value in 8, -2, -2653, 1? -2 What is the third smallest value in 39790, -31, 1? 39790 What is the fourth biggest value in -2/3, -1/347, -4, 0, -77, 2/11, 2? -1/347 Which is the third smallest value? (a) 2/11 (b) -64651780 (c) -3/2 a Which is the fourth smallest value? (a) -2 (b) 0.2 (c) 6 (d) 22/267 c What is the fifth smallest value in -5, 21/4, 182, 5, 2/3, 4/3, 0.2? 5 Which is the second smallest value? (a) 1 (b) 6.6 (c) -16169 a Which is the smallest value? (a) 108091 (b) -7 (c) -6 b What is the sixth biggest value in -1.6, 0.5, -175, 1.6, -5, -0.5? -175 What is the biggest value in -19, -60, -9.2, 2, -1, 4/17? 2 What is the fourth smallest value in -16/9, -2/51, -19/6, 3/8, -3/8, 3, 2? -2/51 Which is the smallest value? (a) 1 (b) 0.9 (c) 0 (d) 0.8 (e) -1/2 (f) 20461 (g) 2 e Which is the smallest value? (a) -0.33 (b) 1/20 (c) 0.049 (d) -9.2 d What is the third smallest value in -1420, -2232, -3? -3 What is the smallest value in -8, 1.57, -5, 5, -2? -8 What is the second biggest value in 47, 6871, 1/3? 47 What is the biggest value in 0.3, -0.5, -9, 0.116, 3, 0.09, 0.5? 3 What is the third smallest value in -1/5, -230, -0.03, 1/2, -0.16? -0.16 Which is the biggest value? (a) -0.4 (b) 1 (c) 2/947 (d) 15379 d Which is the smallest value? (a) 0 (b) -8 (c) 13 (d) 6/43 (e) 0.011 b Which is the second smallest value? (a) 0.1 (b) -200 (c) 840 (d) 1/2 a What is the fourth smallest value in 0, -7/3, 1/3, 2, -28? 1/3 Which is the fourth smallest value? (a) -43 (b) 285 (c) -1/6 (d) 2 (e) -1/2 (f) -0.2 c What is the third smallest value in -10/9, 6, -0.4, -990? -0.4 Which is the smallest value? (a) -0.386 (b) 3 (c) -0.071 (d) 0.01 (e) -3 e What is the sixth smallest value in -6/81895, -0.19, -2/11, -4, 1/3, -1? 1/3 Which is the third biggest value? (a) -3388.5 (b) 50 (c) -8/13 a What is the fourth smallest value in -3/4, -23.148, -5/2, 5, -2/13? -2/13 Which is the sixth biggest value? (a) -13 (b) -111 (c) 4 (d) -0.4 (e) -3/5 (f) 11/32 (g) 0.03 a What is the fourth smallest value in 3567, 1/11, 0.12, -2/7, -3/7, 2/9, 0.2? 0.12 Which is the smallest value? (a) -0.174 (b) -135 (c) -16 b What is the third biggest value in 4/5, -15, 1, -28, 5, 2, -20/7? 1 Which is the biggest value? (a) 2960.85 (b) -2/3 (c) -43/7 a What is the biggest value in -4, 3/4, 0, -1.1, 9, -2315? 9 Which is the third biggest value? (a) -5 (b) -8/5 (c) -0.006 (d) 3/4 (e) -2/9 (f) -405 e Which is the second smallest value? (a) 16 (b) -2/1299 (c) 0 (d) -10.7 (e) 0.5 b What is the fourth smallest value in -3, -82/7, 4, -1605, 0, -10? -3 Which is the smallest value? (a) -1.7 (b) -260 (c) 0.2217 (d) 0.05 b What is the sixth biggest value in 2, -0.6, -2/31, 4, -64, -7, 34? -7 Which is the fourth biggest value? (a) 41 (b) 4/5 (c) -1/6 (d) -3 (e) 195 c What is the biggest value in -0.3, -189/8, 6042? 6042 Which is the biggest value? (a) -1/3 (b) -0.4 (c) -2418.455 a Which is the sixth smallest value? (a) -9 (b) -1/3 (c) -0.5 (d) -5 (e) 2 (f) -2/3 (g) -100.3 b What is the fifth smallest value in 4, 0, 3, -0.1, 5119, 1/6, 1? 3 What is the biggest value in -1, 28/13, -4, -2/33, -7/3? 28/13 Which is the second biggest value? (a) -4.74 (b) -2/3 (c) -4 (d) -7363 c What is the second smallest value in -36, 6, 4, 5, 0.12603, -2/13? -2/13 What is the fourth smallest value in -10/11, 14, -5/4, 0.3, 0.04? 0.3 What is the biggest value in -33, -259, -1.769? -1.769 Which is the third biggest value? (a) 0.07 (b) 2/7 (c) 5/2 (d) -12 (e) -442.09 a Which is the second smallest value? (a) 2/13 (b) 0.3 (c) 0.2 (d) 141299/10 c Which is the second biggest value? (a) 1587 (b) 2/3 (c) 1218 c What is the fourth smallest value in 688432, -2/5, 1/2, 5/4? 688432 What is the second smallest value in 118, -18, -0.5, 0.4, 1006? -0.5 What is the third biggest value in -1.191, -0.4, 281, 6? -0.4 What is the second biggest value in -12, -2, -555, -9/2, -6? -9/2 Which is the second smallest value? (a) -10 (b) -0.018 (c) 4 (d) 40 (e) 2/7 (f) -19 a Which is the third smallest value? (a) 1464.83 (b) -39 (c) 0.3 a Which is the fourth smallest value? (a) -0.0428 (b) -2 (c) 2/13 (d) 9 (e) 4 (f) -2/5 (g) -3 a What is the smallest value in -1.115, 49, 79? -1.115 What is the fifth biggest value in -0.02, -0.2, -0.02307, -42, -2? -42 What is the third biggest value in -14, -6/5, 297, 3, 5, -0.3? 3 What is the second biggest value in 0.2, 3/4, 1088, 1/3, 1, 0.1, 50? 50 What is the fourth smallest value in 51381, 2/15, -2/11, 9.3? 51381 What is the fourth smallest value in -5, 5, 1/2, 1273/709, 3/2? 1273/709 What is the second biggest value in 98693, 5, 25/6? 5 What is the second biggest value in 1.2, 20, -4, 4, 2/923, 1/11? 4 What is the third biggest value in -274, -0.2, 0.3, -1/4, -0.09, 2/23, 0.09? 2/23 Which is the fourth biggest value? (a) -37 (b) -151799 (c) 1 (d) 0.4 (e) 0.5 (f) 3 d What is the biggest value in -1699, -6350, 3/5? 3/5 Which is the smallest value? (a) -675 (b) 4 (c) -191 (d) 0 (e) 0.2 a Which is the third biggest value? (a) -1707 (b) -0.1 (c) 0.8 (d) -4 (e) 66 (f) -2 b What is the third biggest value in -0.142, 66, 0.5, -0.32? -0.142 Which is the third smallest value? (a) -2 (b) -62013 (c) -0.144 c What is the smallest value in 3681, -3/10, -2, -12? -12 Which is the fourth smallest value? (a) -3 (b) -0.03 (c) 2/13 (d) -6 (e) -1/6 (f) -103 e What is the fifth biggest value in 5/77, 54/13, -5, -1, -4? -5 Which is the biggest value? (a) -1.31429 (b) 0.1 (c) 0 b Which is the sixth smallest value? (a) 1/4 (b) -5 (c) 0 (d) 0.1 (e) 50 (f) 3 e What is the fifth biggest value in 1/12, 0.081, 1, -3/4, 0.164, 4, 3? 1/12 What is the fifth smallest value in 0.01, 48, 4, 0, -110, 0.7? 4 Which is the second biggest value? (a) -6 (b) -8 (c) 1439 (d) 4 d What is the second biggest value in -1, -0.054, 5, -9, -30.09? -0.054 Which is the third biggest value? (a) 5 (b) 3 (c) -89997 c What is the second smallest value in -4, 6, -2/23, -0.4, -247, -3/11, 1/2? -4 What is the second smallest value in -5, 64, 2/11, 3, -4, -0.025? -4 Which is the second smallest value? (a) 0.2 (b) -2 (c) -109.66 (d) -4 d What is the smallest value in -1/5, -1, 134, 2/5, -718, -1/7? -718 What is the sixth biggest value in 0.093, -1, 3/2, -2/35, -1/5, 0.044? -1 What is the third smallest value in 0.51, -17/84, 2, -23? 0.51 What is the second smallest value in -2420, 13, -14, 3? -14 What is the second smallest value in 1388, 2, 339, -0.05, -0.4? -0.05 What is the second smallest value in -1/3, -141, 0, -154.27? -141 Which is the fourth smallest value? (a) -29228/7 (b) 2/7 (c) 2/9 (d) -1 (e) -16 c Which is the biggest value? (a) -591 (b) -3 (c) -0.17 (d) 2 (e) 3 (f) 0.7 (g) -5 e What is the biggest value in -1/759, 1/89773, 2? 2 Which is the smallest value? (a) -46/11 (b) 102 (c) 0.13 (d) -2 a Which is the biggest value? (a) 0 (b) 0.1 (c) 9 (d) 0.02 (e) 18730 e Which is the fourth biggest value? (a) -0.09 (b) -24 (c) -0.03 (d) -2/7 (e) -1003 (f) -0.4 f What is the second biggest value in 1/4, -6115, -2/3, 4.03? 1/4 Which is the sixth smallest value? (a) -14/15 (b) 1/3 (c) -3/5 (d) 11 (e) -29 (f) -2 d W
{ "pile_set_name": "DM Mathematics" }
4. -1/6 669 divided by 223 3 75690 divided by -2 -37845 Calculate 630 divided by -6. -105 -8 divided by -18 4/9 Calculate 4 divided by -19. -4/19 Calculate 1 divided by 282. 1/282 -11615 divided by -115 101 Divide 4800 by 5. 960 Calculate 2 divided by 87. 2/87 194490 divided by 5 38898 Calculate 265 divided by -5. -53 What is -1760 divided by -11? 160 3 divided by -64 -3/64 Divide -56 by 17. -56/17 Divide -404 by 404. -1 138 divided by -46 -3 -30 divided by -5 6 417 divided by -3 -139 Calculate 854 divided by -3. -854/3 What is -3131 divided by 3131? -1 Calculate -987 divided by -3. 329 270 divided by 6 45 Divide 115 by 67. 115/67 Divide -68 by -9. 68/9 Calculate -456 divided by 3. -152 Divide -5320 by -152. 35 Divide -1983 by 3. -661 8820 divided by -3 -2940 Calculate -3 divided by -138. 1/46 1566 divided by 9 174 Calculate -7 divided by 10. -7/10 3625 divided by -5 -725 -10860 divided by 5 -2172 Calculate -9882 divided by 3. -3294 955 divided by -191 -5 8700 divided by 870 10 What is -3 divided by 107? -3/107 Calculate 255 divided by -1. -255 Divide -820 by -5. 164 Divide -496 by 2. -248 Calculate 288 divided by 9. 32 Calculate -11 divided by -1569. 11/1569 Calculate 1206 divided by 9. 134 What is 15336 divided by 2? 7668 Divide -434 by -434. 1 Calculate -6612 divided by 5. -6612/5 Divide -264 by -130. 132/65 3619 divided by 11 329 Calculate -239 divided by 7. -239/7 Divide -5150 by -206. 25 Calculate -2265 divided by -151. 15 424 divided by -106 -4 0 divided by 263 0 -448 divided by -2 224 12825 divided by -225 -57 What is -8428 divided by 7? -1204 Divide -808 by 404. -2 Divide -3006 by -167. 18 Calculate 900 divided by 5. 180 744 divided by -4 -186 -12300 divided by 30 -410 Divide -3 by 901. -3/901 -80 divided by 3 -80/3 What is 3450 divided by -15? -230 Divide -23 by -23. 1 1 divided by 415 1/415 -97 divided by -9 97/9 Calculate -14 divided by -59. 14/59 Calculate 274 divided by -137. -2 72 divided by 6 12 -183 divided by -40 183/40 What is 0 divided by -3373? 0 -79 divided by 94 -79/94 2 divided by -121 -2/121 Calculate 1560 divided by -60. -26 Calculate -58 divided by -21. 58/21 Divide 792 by 4. 198 Calculate 3 divided by 155. 3/155 What is 28 divided by 2? 14 What is 4 divided by 36? 1/9 Calculate 141 divided by 31. 141/31 -1 divided by -8 1/8 1776 divided by -3 -592 4 divided by -69 -4/69 Calculate 14440 divided by 2. 7220 6100 divided by 4 1525 What is 1476 divided by 41? 36 Calculate -2 divided by 36. -1/18 What is 548 divided by 2? 274 What is -2015 divided by 5? -403 Divide 258 by 3. 86 Divide -25 by 122. -25/122 Divide 5660 by 10. 566 1516 divided by 8 379/2 Calculate -2338 divided by 6. -1169/3 Divide -15215 by 5. -3043 -1978 divided by 46 -43 -178 divided by 89 -2 What is -39 divided by 13? -3 Divide 466 by -233. -2 Calculate -211 divided by 1. -211 4 divided by 104 1/26 What is 1488 divided by -16? -93 -956 divided by 239 -4 What is 2109 divided by 19? 111 Divide -177 by 59. -3 Divide 3 by 61. 3/61 Divide 162 by 9. 18 Divide -132 by -3. 44 Divide -562 by -10. 281/5 Calculate -2 divided by -10. 1/5 Divide 2 by -6571. -2/6571 Divide 1570 by 1. 1570 Calculate 70 divided by -35. -2 Calculate -2 divided by -2670. 1/1335 Divide 37 by -123. -37/123 What is -5 divided by -1842? 5/1842 What is -4 divided by 123? -4/123 Divide 356 by -89. -4 Divide 1762 by -2. -881 -1 divided by 514 -1/514 What is -1220 divided by 122? -10 Divide 372 by -6. -62 Divide -48 by 16. -3 Divide 99 by 3. 33 -324 divided by 12 -27 324 divided by 9 36 What is -8 divided by -1? 8 Calculate 22822 divided by -2. -11411 What is -92 divided by 16? -23/4 16 divided by 17 16/17 What is 580 divided by -116? -5 -408 divided by -204 2 Divide 2 by -1. -2 Divide 1 by -39. -1/39 Calculate 994 divided by -1. -994 What is 44 divided by -244? -11/61 Divide 20406 by -1. -20406 3106 divided by 2 1553 What is -4 divided by 13? -4/13 Calculate 1038 divided by -1. -1038 What is -696 divided by 8? -87 1283 divided by -3 -1283/3 Calculate -9 divided by 15. -3/5 Divide 4 by -38. -2/19 0 divided by 497 0 What is 4927 divided by -379? -13 What is 16752 divided by -6? -2792 Divide -2 by -3. 2/3 Calculate 1594 divided by -6. -797/3 What is 60 divided by 2? 30 What is -18480 divided by -4? 4620 What is 6312 divided by 6? 1052 Calculate 1725 divided by -5. -345 Calculate 775 divided by 5. 155 -11560 divided by -4 2890 10 divided by 501 10/501 0 divided by 149 0 Calculate -3077 divided by -1. 3077 -90 divided by 18 -5 What is -481 divided by -13? 37 What is 4185 divided by 15? 279 What is 445 divided by 10? 89/2 Divide -168 by -21. 8 Divide -176 by 22. -8 Calculate 1512 divided by -3. -504 What is -12 divided by 23? -12/23 What is 5 divided by -431? -5/431 Calculate -4 divided by 11. -4/11 Divide -268 by -134. 2 Calculate 324 divided by -108. -3 Calculate 56 divided by -6. -28/3 Calculate 5 divided by 67. 5/67 Calculate -428 divided by 428. -1 Divide -3730 by 5. -746 -12793 divided by -3 12793/3 Calculate 7470 divided by -5. -1494 What is -6940 divided by -1? 6940 What is 5 divided by -1246? -5/1246 -76 divided by -38 2 Divide -4 by -5542. 2/2771 300 divided by -4 -75 -7092 divided by 6 -1182 What is -2 divided by -457? 2/457 Divide 16226 by 854. 19 320 divided by -3 -320/3 4477 divided by 1 4477 -5 divided by 1531 -5/1531 Divide 2803 by 6. 2803/6 Calculate -1072 divided by 4. -268 Divide 647 by -5. -647/5 Calculate -164 divided by 4. -41 What is -114 divided by 2? -57 Calculate -4 divided by -87. 4/87 1265 divided by -3 -1265/3 What is -500 divided by -125? 4 What is 16 divided by -7? -16/7 What is 17 divided by 10? 17/10 What is -1851 divided by -3? 617 Calculate -5757 divided by 5. -5757/5 74 divided by 5 74/5 What is 41545 divided by 7? 5935 Calculate -142 divided by 7. -142/7 Divide 9495 by 1899. 5 Divide 1011 by -20. -1011/20 Calculate -475 divided by -475. 1 393 divided by -1 -393 What is 4 divided by 2? 2 What is -1136 divided by -71? 16 -549 divided by 6 -183/2 Calculate -32436 divided by -2703. 12 What is 6 divided by 56? 3/28 Divide -2334 by 1. -2334 160 divided by -32 -5 Calculate 5338 divided by 6. 2669/3 -1577 divided by -19 83 Divide 36 by -9. -4 Calculate 24 divided by 61. 24/61 Calculate 3339 divided by -3. -1113 Divide 180 by 6. 30 -84 divided by -21 4 Calculate 4155 divided by 1. 4155 Calculate 26300 divided by -4. -6575 Divide 5544 by 308. 18 Calculate -2253 divided by -751. 3 Divide -19 by -21. 19/21 Divide 0 by -8. 0 Calculate -572 divided by -3. 572/3 Calculate 2 divided by 32. 1/16 What is 264 divided by 4? 66 What is 1224 divided by -4? -306 -8304 divided by -692 12 What is 1 divided by -83? -1/83 What is -3 divided by 98? -3/98 0 divided by 49 0 18 divided by -16 -9/8 Calculate 5 divided by 12. 5/12 Calculate 3456 divided by 3456. 1 What is 360 divided by -1? -360 Divide 730 by 73. 10 What is -3960 divided by 792? -5 4 divided by 32 1/8 Divide 3654 by -1218. -3 What is 192 divided by 64? 3 What is -3 divided by 110? -3/110 What is 2 divided by 836? 1/418 -24 divided by -4 6 Calculate -20 divided by -2. 10 884 divided by 26 34 -5 divided by -61 5/61 -192 divided by 3 -64 Divide 151 by 5. 151/5 -6456 divided by -6 1076 What is 175 divided by -5? -35 Calculate 333 divided by -32. -333/32 Calculate -2737 divided by 3. -2737/3 Calculate 1232 divided by 28. 44 What is 6435 divided by 3? 2145 Calculate -60 divided by 30. -2 Calculate -48 divided by -13. 48/13 Divide 78 by 13. 6 What is -990 divided by -330? 3 Divide -329 by 7. -47 Calculate -11406 divided by -3. 3802 What is 1429 divided by -3? -1429/3 Calculate -138 divided by -1. 138 Divide 21 by -7. -3 3232 divided by -101 -32 Divide -1740 by 12. -145 Calculate -111 divided by 1. -111 Calculate 7 divided by -261. -7/261 Calculate 2025 divided by -405. -5 4916 divided by 1229 4 -531 divided by 3 -177 Divide -5 by -72. 5/72 Calculate -147 divided by -6. 49/2 Divide -1791 by 3. -597 0 divided by 28 0 Divide 1284 by 12. 107 -784 divided by 196 -4 Divide 17 by -21. -17/21 What is -135 divided by 12? -45/4 What is 26112 divided by 6? 4352 What is 19 divided by 83? 19/83 -25635 divided by 3 -8545 14812 divided by -4 -3703 Divide -2 by 4. -1/2 What is -37 divided by 3? -37/3 -2 divided by 21 -2/21 What is 365 divided by -73
{ "pile_set_name": "DM Mathematics" }
t the terms in 107*j**2 + 106*j**3 - 107*j**2. 106*j**3 Collect the terms in -3*j**3 - 121*j**2 - 2*j**2 + j**3. -2*j**3 - 123*j**2 Collect the terms in 81*f - 96*f + 121*f + 145*f. 251*f Collect the terms in -1 + 1 + 3*d + 17*d. 20*d Collect the terms in -f**3 - 56142*f + 56142*f. -f**3 Collect the terms in 1 + 3*l**2 - 1 + 9*l**2. 12*l**2 Collect the terms in 32*q**3 + 39*q**3 + 36*q**3 - 101*q**3. 6*q**3 Collect the terms in -65*t**3 + 5 - 5. -65*t**3 Collect the terms in -7 + 5 - 7*z**3 + 2. -7*z**3 Collect the terms in -44 + 123*x + 24 + 20. 123*x Collect the terms in -103*r + 2*r + 14*r. -87*r Collect the terms in 706 - 311 - d - 395. -d Collect the terms in -4*m**3 - 1382*m**2 + 1382*m**2 - m**3. -5*m**3 Collect the terms in -18*n - 2*n + 10*n + 9*n. -n Collect the terms in 5 + 23*w + 3 - 2 - 3. 23*w + 3 Collect the terms in -785*j + 2 - 2. -785*j Collect the terms in 264*c - 133*c - 129*c - 51*c**2. -51*c**2 + 2*c Collect the terms in -3 + 4*x**2 - 7*x**2 + 3. -3*x**2 Collect the terms in -9081*t + 4540*t + 4542*t. t Collect the terms in -823 + 30*j + 823. 30*j Collect the terms in -314*u**2 - 309*u**2 + 938*u**2 - 308*u**2 + 2*u**3. 2*u**3 + 7*u**2 Collect the terms in 9*o - 4*o + 3*o + 2 - 26*o. -18*o + 2 Collect the terms in 155 + 151 - 306 + 4*w. 4*w Collect the terms in 13*y - 46*y + 1 - 3. -33*y - 2 Collect the terms in -1167*q**2 - 221*q**2 - 561*q**2 - 180*q**2. -2129*q**2 Collect the terms in -11*o + 35*o - 16*o - 13*o. -5*o Collect the terms in -6 - 35*f + 6. -35*f Collect the terms in -465*m - 469*m + 938*m. 4*m Collect the terms in -304*i**3 + 2 + 276*i**3 - 2. -28*i**3 Collect the terms in -7 - 11 - 16*q + 18. -16*q Collect the terms in 42*c**2 - 4 + 4 - 21*c**2. 21*c**2 Collect the terms in 5*b**2 - 2*b**2 - 6*b**2 + 4*b**2. b**2 Collect the terms in -13*c**2 - 130 + 130. -13*c**2 Collect the terms in u - u + 1157*u**2 + 0*u. 1157*u**2 Collect the terms in -4*v - 31 - 25 + 56. -4*v Collect the terms in 29*l + 29*l - 8*l**2 - 58*l. -8*l**2 Collect the terms in -692 - m + 692. -m Collect the terms in 1 - 73*l + 35*l - 185*l. -223*l + 1 Collect the terms in 29*z**2 - 61*z**2 + 37*z**2. 5*z**2 Collect the terms in -13*c + 55 - 111 + 56. -13*c Collect the terms in 21 - 51 + 3*x**2 + 30. 3*x**2 Collect the terms in -19344*y**2 + 19344*y**2 + 11*y**3. 11*y**3 Collect the terms in 2*b**3 + 15*b**3 - 16*b**3 + 0*b**3. b**3 Collect the terms in -14*o - 8024 + 3*o + 8024. -11*o Collect the terms in -31*p - 2*p**3 + 9*p - 38*p. -2*p**3 - 60*p Collect the terms in 102*t**2 + 71*t**2 - 171*t**2. 2*t**2 Collect the terms in -14*r**2 - 10*r**2 - 15*r**2 + 29*r**2. -10*r**2 Collect the terms in 2*b**2 + 114716*b - 114716*b. 2*b**2 Collect the terms in 64*g - 3 + 5 + 150*g. 214*g + 2 Collect the terms in -30*w**3 + 11*w**3 + 23*w**3. 4*w**3 Collect the terms in -4*n**2 + 5*n**2 - 7*n**2. -6*n**2 Collect the terms in 1 - 3*k - 3 + 2. -3*k Collect the terms in 8*p + 3*p - 3*p. 8*p Collect the terms in -13 + 2 + 11 - 26*h**2. -26*h**2 Collect the terms in 405*r**2 - 815*r**2 + 408*r**2. -2*r**2 Collect the terms in 15*j + 52*j + 5*j + 2 - 7*j. 65*j + 2 Collect the terms in -3 + 4 - 1 + 5*m**3. 5*m**3 Collect the terms in 3*v**2 + 2942 - 2942. 3*v**2 Collect the terms in -11*s + 108972 - 108972. -11*s Collect the terms in 77*y**2 - 3 + 3. 77*y**2 Collect the terms in 4*t + 3*t + 0*t + 28*t. 35*t Collect the terms in 1414*m**2 - 2832*m**2 + 1415*m**2. -3*m**2 Collect the terms in 2*r**2 - 6*r + 12*r - 6*r. 2*r**2 Collect the terms in 2*g**3 - 1889 + 1889. 2*g**3 Collect the terms in -3*h**2 - h - 5*h - 19*h + 2*h. -3*h**2 - 23*h Collect the terms in 634 - 259*x - 634. -259*x Collect the terms in 17*o**3 + 16*o**3 + 18*o**3. 51*o**3 Collect the terms in 10*a + 2*a**3 - 10*a + 4*a**3. 6*a**3 Collect the terms in 22 - 45 + 23 - 11*i. -11*i Collect the terms in -3*f**2 + 2*f**2 + 4*f**2. 3*f**2 Collect the terms in 29284 - 3*s**2 - 29284. -3*s**2 Collect the terms in -13090 + 13090 - 4*f**3. -4*f**3 Collect the terms in -1952*b + 3909*b - 1956*b. b Collect the terms in 21*m**3 + 42 + 1 - 43. 21*m**3 Collect the terms in 691*f**2 - 6 - 679*f**2 + 6. 12*f**2 Collect the terms in 75*b**2 - 42733 + 42733. 75*b**2 Collect the terms in 7*q**3 - 22*q**3 + 16*q**3. q**3 Collect the terms in -3*f**2 + f**2 - 13*f**2 - 14*f**2. -29*f**2 Collect the terms in 22 + 54 - 3*f**2 + f**2. -2*f**2 + 76 Collect the terms in -63*z**2 - 115*z**2 + 35*z**2. -143*z**2 Collect the terms in 7*v**3 + 72*v**2 - 4*v**3 - 72*v**2. 3*v**3 Collect the terms in -20*w**2 + 12 - 12. -20*w**2 Collect the terms in 9*z**3 - 5*z**2 + 5*z**2 - 2*z**3. 7*z**3 Collect the terms in -4*t**2 - 2*t**2 - 9*t**2 + 8*t**2 + 3*t**2. -4*t**2 Collect the terms in -j**2 - 2738585*j + 2738585*j. -j**2 Collect the terms in 17*q**2 - 609*q + 609*q. 17*q**2 Collect the terms in -45*y**3 + 14*y**3 - 82*y**3. -113*y**3 Collect the terms in -70*i**3 + 45*i**3 + 37*i**3. 12*i**3 Collect the terms in 140*w - 267*w + 129*w. 2*w Collect the terms in 7*l - 3 + 15*l - 40*l. -18*l - 3 Collect the terms in -142 + 142 + 0*y**2 - 4*y**2. -4*y**2 Collect the terms in -102 + 49 + 2*u + 53. 2*u Collect the terms in -18718*o**2 + 18718*o**2 + 11*o**3. 11*o**3 Collect the terms in -6124*f + 6124*f + f**2. f**2 Collect the terms in 5*z**3 - 23 - 4*z**3 + 10*z - 3*z**3. -2*z**3 + 10*z - 23 Collect the terms in -3*i + i + 3*i + 5*i. 6*i Collect the terms in 2*t**2 + 3*t**2 + 3*t**2. 8*t**2 Collect the terms in -441 - 26*y**3 + 441. -26*y**3 Collect the terms in -17 - 2*f + 17. -2*f Collect the terms in -18*l - 16*l - 16*l + 52*l. 2*l Collect the terms in -6*l**3 - 218 + 218. -6*l**3 Collect the terms in 275*s**2 - 286*s**2 + 0 + 0. -11*s**2 Collect the terms in -12 + 3 - 25*w - 4. -25*w - 13 Collect the terms in 32*v**2 - 9*v**2 - 14*v**2 - 10*v**2. -v**2 Collect the terms in 585*z**2 - 11*z**3 - 585*z**2. -11*z**3 Collect the terms in -79*z**2 + 79*z**2 + 4*z**3 - z**3. 3*z**3 Collect the terms in 45*l**3 - 19*l**3 - 25*l**3. l**3 Collect the terms in -3*o + 2*o - 14*o - o. -16*o Collect the terms in 11*h + 10*h - 6*h - 2*h. 13*h Collect the terms in -m - 26*m**3 + m. -26*m**3 Collect the terms in -1 + 47*j**2 + 36*j**2 - 3*j**2 - 14*j**2. 66*j**2 - 1 Collect the terms in -3*l - 8*l + 5*l + 3*l. -3*l Collect the terms in -434*d - 178*d + 98*d. -514*d Collect the terms in 4280*j - 2*j**3 - 4280*j. -2*j**3 Collect the terms in -644 + 4*c + 644. 4*c Collect the terms in 97*h - 196*h + 76*h. -23*h Collect the terms in 10 - k + 0 + 12 - 22. -k Collect the terms in 207*w + 28*w - 61 + 61. 235*w Collect the terms in 9 - 6*v**2 - 4 + 3 + 2*v**2. -4*v**2 + 8 Collect the terms in 89*g + 104*g - 181*g. 12*g Collect the terms in -6*h**3 + 0*h**3 - 2*h**3. -8*h**3 Collect the terms in -5*g - 8*g + 7*g. -6*g Collect the terms in -b**3 + 87069*b**2 - 87069*b**2. -b**3 Collect the terms in -44*a**3 + 0*a**2 + 0*a**2 + 19*a**3. -25*a**3 Collect the terms in 36*z**3 - 54*z**3 + 19*z**3. z**3 Collect the terms in 32 - 18 - 16 + 12*t. 12*t - 2 Collect the terms in -36664 + 36664 + y. y Collect the terms in 1075 - 1075 - 6*b**2. -6*b**2 Collect the terms in -28*d - 6451 + 6451. -28*d Collect the terms in 10*i**3 + 325*i**2 - 166*i**2 - 159*i**2. 10*i**3 Collect the terms in -24*t - 22*t + 5*t + 10*t. -31*t Collect the terms in -4*y**3 + 2*y**3 + 7*y**3 + 21*y**3. 26*y**3 Collect the terms in -5*j**3 + 7*j**3 - 84 + 84. 2*j**3 Collect the terms in 128*c**2 + 2 + 127*c**2 - 2 - 256*c**2. -c**2 Collect the terms in -92 + 92 + 23*o**2. 23*o**2 Collect the terms in -5*o**2 - o**2 - 6*o**2. -12*o**2 Collect the terms in 12933 - 3*g - 12933. -3*g Collect the terms in 2*c - 19*c**3 - 7*c + 5*c. -19*c**3 Collect the terms in -8 - 11 + 19 + 10*s**3. 10*s**3 Collect the terms in 5*t**2 - 40*t**2 - 46*t**2. -81*t**2 Collect the terms in -89 + 89 + 25*h. 25*h Collect the terms in 14*b + 239724 - 239724. 14*b Collect the terms in -1 + 3*t - 2 + 1. 3*t - 2 Collect the terms in -12*n**3 + 34*n**3 - 11*n**3 - 9*n**3. 2*n**3 Collect the terms in 7 - 11 + 4 + 6*b. 6*b Collect the terms in 4*t**2 + 3*t**2 + 8*t**2. 15*t**2 Collect the terms in -7*g - 12*g + 8*g - 5*g + 2. -16*g + 2 Collect the terms in 5350*g**2 - 10693*g**2 + 5346*g**2 + g - g. 3*g**2 Colle
{ "pile_set_name": "DM Mathematics" }
, -3*h - 18 = -4*o. Let d be (-1 - -5) + (-28 - -29). Put 0, d, h in increasing order. h, 0, d Let v(l) = -l - 1. Let z be v(-6). Suppose -z = 2*y + 3. Let i(s) = s**2 - 12*s - 24. Let k be i(14). Sort y, 3, k in descending order. k, 3, y Let t = 12 + -10. Let c be (-4)/6*(1/t)/(-1). Sort c, 2/7, 3, 1 in descending order. 3, 1, c, 2/7 Suppose -12*l - 13*l = 25. Sort 317, l, 0. l, 0, 317 Let k = 184 + -129. Let p be 2*3/(-90) + 22/k. Let v = -4 + 6. Put v, p, -3/4 in descending order. v, p, -3/4 Let x(v) = -v**3 - 2*v**2 + 23*v - 7. Let n be x(-6). Put n, 111, 3 in descending order. 111, 3, n Suppose 5*c = 6 - 41. Let z be -9 + 10 + (c - -1). Let y(u) = -u**3 - 7*u**2 - u - 4. Let p be y(-7). Put 0, p, z in descending order. p, 0, z Let i be (-6)/(2 - 3/6). Suppose -3*s + p = -2*s - 6, 0 = -3*s - 2*p + 13. Put s, -3, i in ascending order. i, -3, s Suppose 2*u - 8 = 5*n - 1, 3*n - 4*u - 7 = 0. Sort n, -1, 0 in increasing order. n, -1, 0 Let y be -2 + (13 - 7) - 2. Sort y, 0, -2, -42 in increasing order. -42, -2, 0, y Let s be -4 + (-204)/(-54) + (-104)/18. Let t(c) = 6*c - 4*c + 10 - c. Let m be t(s). Sort m, 2, -3. -3, 2, m Suppose 3*h - 5*w = 15, 2*h = -2*w - 6 - 0. Let n be h - (1 + 0 - -8). Let j = -1 - 3. Sort 5, j, n. n, j, 5 Let a be ((114/4)/19)/((-14)/4). Sort -0.3, 8, a in decreasing order. 8, -0.3, a Let q = -1.38 - -131.38. Let r = q + -125. Sort r, 1/7, 4. 1/7, 4, r Let g be (-6)/4*(-8)/9 - 2. Sort g, 7/13, 0.2 in ascending order. g, 0.2, 7/13 Suppose 35*m + 26 = 36*m. Suppose -11*f + 29 = -m. Sort 2, f, 46 in decreasing order. 46, f, 2 Let h(s) = 21*s + 166. Let f be h(-8). Put -3, f, -6, 3 in increasing order. -6, -3, f, 3 Suppose 8*y = 9*y + 54. Let g = y + 56. Put g, 4, -24 in increasing order. -24, g, 4 Let a = 30 + -28.7. Let s = 3.3 - a. Let m = -0.12 + -3.88. Put -5, m, s in decreasing order. s, m, -5 Let q be 204/(-28) - (-4)/14. Let n = 11 + q. Let f be ((-4 - 2) + 7)/(-1). Sort -4, f, n in ascending order. -4, f, n Let x(f) = f + 1. Let v be x(4). Suppose o - z - 2 = 0, -5*o + 134*z - 132*z = -1. Sort o, v, -3, -2. -3, -2, o, v Let d(k) be the third derivative of 0 - 6*k**2 - 2/3*k**3 + 0*k - 7/24*k**4 + 1/60*k**5. Let s be d(8). Sort s, 1, -1 in decreasing order. s, 1, -1 Let g be (-6)/2*4/(-12). Let y = 30 + -20. Let p = y + -9.8. Sort 0.1, p, g in increasing order. 0.1, p, g Let x be 2/6*(-4 - -145). Let p = 50 - x. Suppose -5*r = -4*j - 3 - 2, 0 = -3*r + 5*j + 3. Put p, -4, r in descending order. p, r, -4 Let n = 0.884 + 0.116. Let u = n - 3. Sort 2, -5, u, 17. -5, u, 2, 17 Let l = 36.949 + -37. Let b = l + -0.249. Sort -4, b, 5/2, -3/2 in decreasing order. 5/2, b, -3/2, -4 Let v(a) = -3*a - 5. Suppose 2*n - 6 = -5*y, n + n + 10 = 3*y. Let f be v(n). Suppose 0 = -2*q - 0 - 6. Sort -5, q, f in decreasing order. f, q, -5 Let a = 250 - 255. Put 4, 0.5, 2/11, a in decreasing order. 4, 0.5, 2/11, a Let z(v) = -v**3 + 6*v**2 - 2*v + 7. Let w be z(6). Suppose 5*r - 3*b - 13 = 0, -38*b = -33*b - 20. Put -1, w, r, -4 in descending order. r, -1, -4, w Suppose -18*g = g + 57. Let h = 2 + 1. Put h, g, -2 in descending order. h, -2, g Suppose 9*i = -26*i - 175. Sort i, -4, -6, -42 in descending order. -4, i, -6, -42 Let u = 172 + -170. Sort -3/5, 0.2, -5, u. -5, -3/5, 0.2, u Let j = -5.1 - 0.4. Let y = -0.5 - j. Let x = -24/13 + 46/39. Put y, -0.1, x in descending order. y, -0.1, x Let m(k) = k**3 + 3*k**2 - 2*k - 5. Let h = -2 - 1. Let l be m(h). Suppose -31*n + 32*n = 6. Put 2, n, l in descending order. n, 2, l Let a(x) = -7*x + 5 + x**2 - 2 + 0*x. Let s be a(6). Let y be 6/2 - (s - -4). Sort -3, 5, y. -3, y, 5 Let b be 2/(-8)*(-6)/(-3). Let q = 28.7 + -16.4. Let t = 9.3 - q. Sort b, t, 0.2. t, b, 0.2 Let z = 0 + 4. Let q(h) = -h + 2. Let g be q(4). Suppose 12 = 19*c + 12. Sort g, z, c in ascending order. g, c, z Let q(u) = u + 3. Let n be q(0). Let g(t) = -t + 4. Suppose 5*c = -10, 3*i + 32 = 7*i - 2*c. Let w be g(i). Put w, n, 5 in descending order. 5, n, w Let q = -0.04 + 4.54. Let h = q + -0.9. Let t = h - 3.1. Sort -1, t, -0.1 in ascending order. -1, -0.1, t Suppose -2*l - 5*p + 13 = 0, p - 5*p = 5*l - 24. Suppose 0*j + j = 8. Suppose 0 = -j*o + l*o + 12. Sort 0.5, o, -5 in decreasing order. o, 0.5, -5 Suppose 8*j - 2695 = 3*j. Let m = j + -20489/38. Let q = -6/19 + m. Put -1, 3, q in increasing order. -1, q, 3 Let s = -36.8446 + -0.1554. Sort 2, s, 0.2 in decreasing order. 2, 0.2, s Suppose 0 = -4*n + 5 + 11. Let p(u) = -2*u + 1. Let y be p(-2). Let r = 6 - y. Sort n, 2, r in decreasing order. n, 2, r Let p be (-2)/(-12) + 49/(-42). Sort 117, -5, p. -5, p, 117 Let t be 26/4*(7 + 1). Suppose -61*c + 624 = -13*c. Let j be (-2)/c - 356/t. Sort -4, -3, j. j, -4, -3 Let q(l) = -6*l - 1. Let y be q(-1). Suppose 53*v + 37 = 16*v. Let u = -1 - 2. Put v, y, u in increasing order. u, v, y Let o be (1/(-3))/((-6)/18). Let n(q) = q**2 - 2*q. Let z be n(2). Put o, z, -4 in increasing order. -4, z, o Let o(l) = -l**2 - 2*l + 3. Let m be o(-3). Suppose m = 4*w + 4, 2*w - 8 = -u - 4*u. Let x be (-1)/(0 + 5/15). Sort x, u, -5 in increasing order. -5, x, u Suppose 3*l = -2*a + 19, -4*a + 53 = -0*a + 11*l. Let b be (-110)/10*(-1 + -8). Sort 0, a, b in descending order. b, a, 0 Let r(f) = -3*f + 55. Let l be r(20). Let b be 9/l*(-65)/39. Sort -3, b, -2, -15 in ascending order. -15, -3, -2, b Let q be (7/49)/((-1)/(-4)). Put -4, 5/6, q in decreasing order. 5/6, q, -4 Suppose 5*j - 2 = a + 4*j, 4*a = -4*j. Put -4, a, -23, -0.2 in decreasing order. -0.2, a, -4, -23 Suppose 4*q + 73*y = 71*y - 12, 2*y - 12 = 2*q. Let o = 3 + 0. Sort 5, q, o, -2 in increasing order. q, -2, o, 5 Let s(m) = -m**3 + 8*m**2 - 5*m - 9. Let p be s(7). Put 1, -3, 14, p in ascending order. -3, 1, p, 14 Let p be 1 + 0 + (-9)/18. Sort 4, -17, p in descending order. 4, p, -17 Let v = 4 - 4. Suppose 0*n - 4*n = v. Put 2, -7, n in decreasing order. 2, n, -7 Suppose -2*k + 0*k = -38. Suppose -1 = 5*v + k. Let o be (-2)/5 - 26/10. Sort v, o, 4. v, o, 4 Let o = -0.4 - -0.4. Suppose -3*v + 4 = 2*i, 3*i + i + 2*v = 24. Put 1/6, i, 1, o in decreasing order. i, 1, 1/6, o Let d = -25329/43 + 589. Put -5, -4, d, -2 in descending order. d, -2, -4, -5 Let y = -5.25 + 0.6. Let a = 0.65 + y. Sort 5, a, -3, -1/3 in decreasing order. 5, -1/3, -3, a Suppose -b = -d - 3 + 4, -b + 3 = 3*d. Let v(q) = -4*q + 1. Let h be v(d). Put -0.7, h, -5 in decreasing order. -0.7, h, -5 Let n = -9982.2 - -9982. Suppose f = -2*b + 3*b + 4, -b + 5*f = 0. Put -0.3, b, 2/11, n in ascending order. b, -0.3, n, 2/11 Let u(a) = a**2 - 21*a + 28. Let r be u(19). Let o be 9/2 - 5/r. Let t be (-6)/8 - o/(-60). Sort t, -0.5, -1. -1, t, -0.5 Let b be ((-26)/104)/(1/29). Put -2/7, -4, b in increasing order. b, -4, -2/7 Let j = 3 - 3.06. Let u = 0.336 - 4.276. Let k = u + j. Put 0, -1, k in increasing order. k, -1, 0 Let f = 12.02 + -17.02. Sort -7, f, 6 in decreasing order. 6, f, -7 Let o = -8 - -12. Let h = -570.6 + 571. Put o, -1, h, 7 in descending order. 7, o, h, -1 Let b be -1 - 0 - (-12)/10. Let g be 8/16 - 209/330. Sort g, -0.07, b, 2 in ascending order. g, -0.07, b, 2 Let w(c) = c**3 - 5*c**2 + 5*c - 2. Let d be w(3). Let j = 32.16 - 32.46. Put j, d, -2, -3 in increasing order. d, -3, -2, j Suppose 20*g = 23*g + 6. Let n be 0*(5/g + 24/8). Put -2, n, 21 in ascending order. -2, n, 21 Let z be (8 + -14 - 8/(-2))*1. Suppose 3*m = 2*m + 5, 21 = -2*a + 5*m. Put a, -54, z in descending order. a, z, -54 Let g = 1 + -0.7. Sort 1, -0.3, g, 1/2. -0.3, g, 1/2, 1 Let j(z) be the third derivative of -z**5/60 + 3*z**4/8 - 7*z**3/6 - 5*z**2. Let s be j(8). Let y be 6/3 + s + 2. Put -5, y, -2 in increasing order. -5, -2, y Let k = -245 - -243. Sort 0, k, 3, -12. -12, k, 0, 3 Let r(z) = -z**3 + 7*z**2 + 25*z + 50. Let l be r(10). Put -5, l, 3, -22 in increasing order. -22, -5, l, 3 Let z = -369 + 370. Sort 1/4, z, 5, 0.1 in descending order. 5, z, 1/4, 0.1 Let s = 265 + -263. Sort -0.13, s, 4/5, -0.4. -0.4, -0.13, 4/5, s Suppose -30 = -4*h - 10. Let w be 31/93 + 1/3*2 - 4. Sort w, h, -8 in increasing order. -8, w, h Let x = -76 - -80. Let c = -0.02 - 0.98. Put x, -0.1, c in ascending order. c, -0.1, x Let o(w) = 3*w**3 - 110*w**2 - 35*w - 77. Let f be o(37). Sort f, -4, -0.3, 9/5 in decreasing order. 9/5, -0.3, f, -4 Let b be
{ "pile_set_name": "DM Mathematics" }
after 7:34 AM? 3:26 PM How many minutes are there between 5:44 PM and 5:11 AM? 687 How many minutes are there between 1:55 PM and 5:12 PM? 197 What is 11 minutes before 3:31 PM? 3:20 PM What is 702 minutes after 9:59 PM? 9:41 AM How many minutes are there between 12:20 AM and 12:58 AM? 38 How many minutes are there between 6:45 AM and 5:15 PM? 630 What is 620 minutes after 1:24 AM? 11:44 AM What is 514 minutes before 5:39 PM? 9:05 AM How many minutes are there between 9:26 PM and 9:15 AM? 709 What is 643 minutes before 1:53 AM? 3:10 PM What is 639 minutes before 12:33 AM? 1:54 PM What is 410 minutes before 5:10 PM? 10:20 AM How many minutes are there between 12:42 AM and 7:54 AM? 432 How many minutes are there between 4:42 PM and 2:41 AM? 599 What is 549 minutes after 2:07 PM? 11:16 PM How many minutes are there between 9:39 AM and 9:25 PM? 706 How many minutes are there between 9:08 AM and 6:54 PM? 586 What is 318 minutes before 7:04 AM? 1:46 AM How many minutes are there between 2:47 PM and 7:12 PM? 265 How many minutes are there between 6:20 AM and 3:53 PM? 573 What is 472 minutes after 7:41 AM? 3:33 PM How many minutes are there between 11:25 AM and 8:09 PM? 524 What is 142 minutes before 12:56 AM? 10:34 PM How many minutes are there between 8:29 AM and 12:33 PM? 244 What is 371 minutes after 8:41 PM? 2:52 AM How many minutes are there between 11:21 AM and 8:39 PM? 558 How many minutes are there between 3:21 PM and 7:24 PM? 243 How many minutes are there between 3:57 AM and 2:07 PM? 610 How many minutes are there between 7:07 AM and 9:28 AM? 141 How many minutes are there between 5:12 AM and 11:19 AM? 367 How many minutes are there between 3:53 AM and 6:49 AM? 176 How many minutes are there between 11:53 AM and 12:41 PM? 48 What is 279 minutes before 2:08 AM? 9:29 PM How many minutes are there between 8:11 PM and 1:24 AM? 313 How many minutes are there between 6:15 AM and 7:56 AM? 101 What is 295 minutes before 7:10 PM? 2:15 PM How many minutes are there between 12:27 PM and 5:51 PM? 324 What is 353 minutes before 8:58 PM? 3:05 PM How many minutes are there between 8:11 AM and 3:39 PM? 448 What is 444 minutes after 11:18 PM? 6:42 AM How many minutes are there between 8:36 PM and 11:51 PM? 195 What is 360 minutes after 6:26 PM? 12:26 AM What is 283 minutes before 6:18 PM? 1:35 PM How many minutes are there between 5:44 PM and 5:12 AM? 688 What is 685 minutes after 2:40 AM? 2:05 PM How many minutes are there between 7:12 AM and 5:28 PM? 616 What is 130 minutes after 10:11 PM? 12:21 AM What is 693 minutes after 3:14 AM? 2:47 PM What is 371 minutes after 11:23 AM? 5:34 PM How many minutes are there between 5:05 PM and 1:18 AM? 493 What is 588 minutes before 2:01 AM? 4:13 PM How many minutes are there between 4:39 PM and 11:05 PM? 386 How many minutes are there between 5:49 AM and 3:32 PM? 583 How many minutes are there between 10:24 AM and 10:38 AM? 14 What is 457 minutes after 8:32 PM? 4:09 AM How many minutes are there between 12:03 AM and 9:06 AM? 543 How many minutes are there between 3:44 PM and 10:45 PM? 421 How many minutes are there between 3:36 PM and 9:18 PM? 342 What is 304 minutes after 6:51 AM? 11:55 AM How many minutes are there between 8:48 PM and 1:43 AM? 295 How many minutes are there between 8:34 AM and 2:34 PM? 360 How many minutes are there between 11:38 AM and 5:10 PM? 332 How many minutes are there between 5:08 PM and 4:20 AM? 672 How many minutes are there between 10:33 AM and 5:14 PM? 401 What is 507 minutes after 4:38 PM? 1:05 AM How many minutes are there between 8:08 PM and 11:30 PM? 202 How many minutes are there between 1:14 PM and 11:10 PM? 596 What is 302 minutes after 9:24 AM? 2:26 PM What is 359 minutes before 6:44 AM? 12:45 AM How many minutes are there between 9:16 AM and 6:04 PM? 528 How many minutes are there between 1:31 PM and 8:21 PM? 410 What is 507 minutes before 8:30 AM? 12:03 AM How many minutes are there between 2:46 AM and 12:53 PM? 607 How many minutes are there between 8:36 AM and 5:01 PM? 505 What is 480 minutes after 11:28 PM? 7:28 AM How many minutes are there between 12:09 PM and 1:20 PM? 71 How many minutes are there between 2:51 AM and 1:37 PM? 646 What is 627 minutes after 2:23 PM? 12:50 AM How many minutes are there between 2:32 AM and 10:33 AM? 481 What is 453 minutes after 4:36 AM? 12:09 PM How many minutes are there between 10:47 AM and 1:38 PM? 171 How many minutes are there between 6:26 PM and 5:00 AM? 634 How many minutes are there between 2:48 AM and 8:25 AM? 337 How many minutes are there between 12:37 AM and 9:32 AM? 535 What is 292 minutes before 8:42 PM? 3:50 PM How many minutes are there between 4:00 PM and 2:07 AM? 607 How many minutes are there between 2:21 AM and 3:03 AM? 42 How many minutes are there between 10:16 AM and 9:46 PM? 690 How many minutes are there between 6:26 PM and 9:11 PM? 165 What is 149 minutes before 6:09 AM? 3:40 AM What is 481 minutes after 2:30 AM? 10:31 AM What is 77 minutes before 8:22 AM? 7:05 AM How many minutes are there between 9:37 PM and 5:25 AM? 468 How many minutes are there between 6:51 AM and 11:42 AM? 291 What is 462 minutes before 7:53 PM? 12:11 PM What is 587 minutes after 6:36 AM? 4:23 PM How many minutes are there between 2:38 AM and 2:28 PM? 710 What is 63 minutes before 1:25 AM? 12:22 AM How many minutes are there between 11:42 AM and 4:47 PM? 305 How many minutes are there between 2:24 AM and 2:51 AM? 27 How many minutes are there between 9:18 AM and 8:35 PM? 677 What is 155 minutes before 3:22 PM? 12:47 PM What is 341 minutes after 6:05 PM? 11:46 PM What is 406 minutes after 11:07 PM? 5:53 AM What is 599 minutes after 9:49 PM? 7:48 AM How many minutes are there between 1:04 AM and 2:46 AM? 102 What is 616 minutes before 4:46 AM? 6:30 PM How many minutes are there between 1:31 AM and 10:48 AM? 557 What is 505 minutes before 3:12 AM? 6:47 PM What is 135 minutes before 10:05 AM? 7:50 AM How many minutes are there between 9:21 AM and 12:32 PM? 191 How many minutes are there between 1:14 PM and 2:13 PM? 59 How many minutes are there between 12:54 AM and 4:50 AM? 236 What is 467 minutes after 6:25 PM? 2:12 AM How many minutes are there between 2:18 PM and 8:17 PM? 359 How many minutes are there between 7:15 AM and 12:24 PM? 309 What is 535 minutes before 5:35 AM? 8:40 PM How many minutes are there between 8:04 AM and 5:51 PM? 587 What is 405 minutes before 5:52 PM? 11:07 AM What is 40 minutes after 11:34 PM? 12:14 AM What is 677 minutes before 1:38 PM? 2:21 AM What is 687 minutes before 2:51 PM? 3:24 AM What is 2 minutes after 2:21 PM? 2:23 PM What is 520 minutes before 1:17 AM? 4:37 PM How many minutes are there between 9:59 AM and 11:50 AM? 111 What is 156 minutes before 1:05 PM? 10:29 AM What is 643 minutes after 12:10 AM? 10:53 AM What is 69 minutes after 7:50 AM? 8:59 AM What is 56 minutes before 10:32 PM? 9:36 PM What is 588 minutes before 11:10 AM? 1:22 AM What is 503 minutes after 1:34 PM? 9:57 PM What is 293 minutes before 9:10 PM? 4:17 PM How many minutes are there between 1:02 PM and 7:28 PM? 386 What is 52 minutes before 5:52 PM? 5:00 PM What is 576 minutes before 9:24 PM? 11:48 AM What is 607 minutes before 6:14 AM? 8:07 PM How many minutes are there between 6:24 AM and 6:07 PM? 703 How many minutes are there between 10:09 AM and 10:15 AM? 6 What is 111 minutes before 2:45 PM? 12:54 PM How many minutes are there between 11:28 PM and 10:37 AM? 669 What is 238 minutes before 12:40 PM? 8:42 AM What is 155 minutes before 1:01 PM? 10:26 AM How many minutes are there between 6:08 AM and 2:24 PM? 496 How many minutes are there between 7:36 PM and 8:29 PM? 53 What is 693 minutes after 9:53 AM? 9:26 PM How many minutes are there between 4:47 AM and 9:40 AM? 293 What is 558 minutes after 10:31 AM? 7:49 PM How many minutes are there between 8:09 AM and 1:50 PM? 341 What is 706 minutes after 12:18 PM? 12:04 AM How many minutes are there between 1:31 PM and 9:24 PM? 473 How many minutes are there between 7:42 PM and 9:54 PM? 132 What is 217 minutes before 1:48 PM? 10:11 AM What is 155 minutes after 4:26 AM? 7:01 AM What is 646 minutes before 7:43 AM? 8:57 PM How many minutes are there between 6:25 AM and 4:01 PM? 576 How many minu
{ "pile_set_name": "DM Mathematics" }
t d(t) = 108*t - 1. Let c be d(1). Let q = 203 - c. Calculate the remainder when q is divided by 11. 8 Let v be -3 + 0 + (3 - -459). Let p be (-3 - v/6)*2. What is the remainder when -2 + p/(-9)*3 is divided by 18? 15 Suppose -4*l + 3*l + 4*p = -3, -l = 4*p - 19. Let g(w) = w**3 + 30*w**2 - 2*w - 29. What is the remainder when g(-30) is divided by l? 9 Let t(c) = -c**2 + 6*c + 1. Calculate the remainder when (-18)/4*((-1014)/(-9))/(-13) is divided by t(3). 9 Let v(r) = r**3 + 8*r**2 - 3*r - 7. Let o be v(-7). Suppose 4*q - y = 2*y + o, 2*q - 5*y = 35. Calculate the remainder when 59 is divided by q. 14 Let f(v) = -v**3 - 11*v**2 + 12*v - 15. Let j be f(-12). What is the remainder when 41 is divided by 364/35 - 9/j? 8 Suppose 464 = -8*l - 336. Calculate the remainder when l/3*((-15)/(-6) + -4) is divided by 17. 16 Suppose 25*f = 14*f. Suppose s = -0*y + 2*y + 22, f = -3*y. What is the remainder when 42 is divided by s? 20 What is the remainder when 289 is divided by (-4)/(-52) - (-18547)/221? 37 Suppose -54*t = -134*t + 6320. What is the remainder when t is divided by 16? 15 Suppose 28*w + 585 = 37*w. Calculate the remainder when w is divided by 34. 31 What is the remainder when 105*-6*3/(-6) is divided by 25? 15 Suppose 5*s + 1005 = 5*t, 2*s = -3 - 5. Calculate the remainder when t is divided by 18. 17 Let v(f) = f**2 - 88*f + 260. Let j(p) = p**2 - 2*p - 4. Let y be j(3). Calculate the remainder when 9 - 2 - 1*y is divided by v(85). 3 Let l(g) = -g**3 + 9*g**2 - 8*g + 19. Calculate the remainder when 47 is divided by l(8). 9 Let h = 6 + -12. Let s be 3/((h/(-4))/3). What is the remainder when 83 is divided by 130/s - 2/3? 20 Suppose -2*l - l + 13 = 5*f, -l - 3 = -2*f. Let y(a) = -l + 2*a + 0*a - 1 + 3 - 5*a**3. What is the remainder when y(-1) is divided by 2? 0 Let n be ((-15)/2)/((-2)/4). Let x = n + 5. What is the remainder when 38 is divided by x? 18 Let t(a) = -a**3 + 9*a**2 - 11*a + 4. What is the remainder when 118 is divided by t(4)? 38 Let h(z) = 5*z**2 - 10*z + 3. What is the remainder when 249 is divided by h(4)? 34 Suppose p - 2*n - 1 = -4, 3*p + 9 = -2*n. What is the remainder when 6 is divided by p/1 - ((-2 - 0) + -4)? 0 Let i = 217 - 173. Suppose 2*b = 4*f - 108, 0*f - 120 = -4*f + 5*b. Calculate the remainder when i is divided by f. 19 Suppose 2*m - 3*m = 5*c - 14, 0 = -4*c + m + 4. Let w = 199 - 195. What is the remainder when w is divided by c? 0 What is the remainder when (-32)/(-48) + (-5098)/(-3) is divided by 46? 44 Suppose -40*v + 132 + 148 = 0. What is the remainder when 32 is divided by v? 4 Suppose 82 = 4*g + 50. Let d(q) = -q + 11. What is the remainder when 11 is divided by d(g)? 2 Suppose 5*u + 0 = 5. What is the remainder when 2*(-147)/(-6)*u is divided by 17? 15 Let v(r) = -2*r**2 - r - 1. Let p(s) be the first derivative of -s**3/3 + 1. Let m(y) = -6*p(y) - v(y). Calculate the remainder when 37 is divided by m(-1). 5 Let g = 129 - 67. Calculate the remainder when g is divided by (24/(-14))/(12/42) - -38. 30 Let h = -8 + 5. Let z be (0 + 1)*h - -7. Suppose 3*i + 0*d - 66 = -3*d, z*d = 8. What is the remainder when 59 is divided by i? 19 Suppose -2*i + 1 = 4*h - 1, 0 = -i + 3*h + 21. Suppose -4*a = -24, 39 + 8 = 5*w + 2*a. What is the remainder when i is divided by w? 2 Let p(d) = d**3 - 6*d**2 + 5*d + 3. Let s = 14 - 9. Let n(h) = 2*h**2 - 3*h - 5. Calculate the remainder when n(-2) is divided by p(s). 0 Suppose 5*c = -0*c + 465. Suppose c = 2*o - 9. What is the remainder when o is divided by 18? 15 Suppose -41*r + 672 = 139. What is the remainder when 71 is divided by r? 6 Let r(n) = 3*n**3 + n**2 - n - 1. Let s be (-66)/(-4)*(-192)/(-72). Suppose -332 = -6*t - s. Calculate the remainder when t is divided by r(2). 23 Let d(k) be the third derivative of k**5/60 + k**4/8 - 2*k**3/3 - 7*k**2. Calculate the remainder when 11 is divided by d(-5). 5 Let g = 37 - 37. Let a(i) = i**2 + i + 84. What is the remainder when a(g) is divided by 29? 26 Let q be (32/(-56))/((-2)/7). Suppose 2*y - 2*b - 2*b = 18, -y - q*b = 3. What is the remainder when 73/y - (-6)/9 is divided by 13? 12 Let x = 145 - 134. What is the remainder when x is divided by 10? 1 Suppose 191 = 2*c - 133. Let d = c + -145. What is the remainder when 115 is divided by d? 13 Suppose -5*d + 28 - 3 = 0. Let p be (-16)/80 + (-19)/d. What is the remainder when 18 is divided by (-2)/p + (-19)/(-2)? 8 Suppose 9 - 3 = 3*x. Let h(l) be the first derivative of -l**2 - 6. Calculate the remainder when h(-4) is divided by x. 0 Let b(a) = 56*a + 11. Let p(r) = -4*r - 61. Calculate the remainder when b(1) is divided by p(-20). 10 Suppose -61 = 6*x + 11. Calculate the remainder when ((-4)/x)/((-1)/(-6)) is divided by 1. 0 Suppose 13*p = 4*p + 171. What is the remainder when 125 is divided by p? 11 Let u(t) = 20*t**2 - 55*t - 113. What is the remainder when 199 is divided by u(-2)? 45 Suppose 3*t = a - 2*t - 21, 0 = -3*t - 6. Let d = a + 20. Suppose 2*f - 2 = 14. Calculate the remainder when d is divided by f. 7 Suppose 2*y - 18 = -24. Let q(v) = -2*v**3 + v**2 + 8*v + 2. Calculate the remainder when q(y) is divided by 11. 8 Calculate the remainder when (33450/(-12))/(-25) - (-3)/(-2) is divided by 40. 30 Suppose 679 = 35*d - 616. What is the remainder when 181 is divided by d? 33 Suppose 0 = -3*i - 9, -j = -5*i - 12 - 9. Suppose -j*a = 5*a - 154. Calculate the remainder when 27 is divided by a. 13 Suppose 2*u - 2*w = 24, 2*u - 3*w = 24 - 4. Calculate the remainder when 40 is divided by u. 8 Suppose -5*c + 4*t = t + 2, 5*c + 7 = -2*t. Suppose -5*d - 24 = d. What is the remainder when 13 is divided by d/c*15/12? 3 Let s = -370 + 469. Calculate the remainder when s is divided by 21. 15 Suppose 3*q - 2*q - 5*u = 41, u + 37 = 2*q. Calculate the remainder when 28 is divided by q. 12 Suppose -3*x - 5*s + 21 = 0, -2*x - 2*s + s = -14. Suppose -k + 35 - x = 0. What is the remainder when k is divided by 6? 4 Let s = -37 - -22. Let r = 21 + s. Suppose 4*o = -2*a + 78, 5*o + 0*a = -4*a + 90. What is the remainder when o is divided by r? 4 Suppose 4*o - 44 = 2*z, -5*z - 7 - 4 = -o. Calculate the remainder when (405/(-108))/(3/(-52)) is divided by o. 10 Suppose -257*k + 252*k = 3*j - 44, -31 = -4*k - 3*j. Calculate the remainder when 0 + 0 + 12*3 is divided by k. 10 Let y = -496 - -507. Calculate the remainder when (-1 - 1*-41) + 2 is divided by y. 9 Let u(m) = -8*m. Let t be u(-4). Let l = t + -23. Suppose -120 = -5*d - b, 49 = -5*d + 5*b + 169. What is the remainder when d is divided by l? 6 Suppose 2*j - 33 = -s, -4*s + 3*j - 29 = -183. Let y(g) = g**2 - g. What is the remainder when s is divided by y(-4)? 17 Suppose -53*g - 750 + 2499 = 0. Calculate the remainder when 102 is divided by g. 3 What is the remainder when 4*10/15*450/8 is divided by 27? 15 Let w be (8/(-14))/((-4)/14). Calculate the remainder when w/(8/141) - (-2)/(-8) is divided by 19. 16 Suppose 5454 = 25*z - 4146. Calculate the remainder when z is divided by 55. 54 Let c = 210 - 210. Suppose 3*a - 32 = 7. Suppose -5*g + 15 = c, -2*g - a = -5*y + 11. What is the remainder when 22 is divided by y? 4 Suppose 7 = -2*n + 95. Calculate the remainder when 127 is divided by n. 39 Let m be ((-3)/(-4))/(3/960*4). Suppose 5*v - m = -4*u, u = 4*v - 2*v + 28. Let n = -17 - -28. What is the remainder when u is divided by n? 9 Suppose 3*d = -z + 42, 5*z = -5*d + 22 + 38. Calculate the remainder when 72 is divided by d. 12 Let w(n) = 71*n**2 + n - 1. Let y = -5 + 6. Suppose -13*u + 17*u - 96 = 0. What is the remainder when w(y) is divided by u? 23 Let x = -428 - -438. Calculate the remainder when 118 is divided by x. 8 Let y(p) = -p**2 + 11*p - 11. Suppose -b = -2*n - 7, 19 = 5*b - 3*b - 5*n. Let j be b/(1/8*-3). Calculate the remainder when y(j) is divided by 7. 6 Suppose 0 = -5*w - 16 + 56. Let n = 212 + -170. Suppose -6*r = -w*r + n. Calculate the remainder when r is divided by 12. 9 Let i(f) = f**3 + 9*f**2 + 10*f + 15. Let l be i(-7). Let s = l + -26. Calculate the remainder when s is divided by 9. 8 Let p(v) = 59*v - 31. What is the remainder when p(6) is divided by 42? 29 Suppose a + 58 - 67 = 0. What is the remainder when 47 is divided by a? 2 Suppose 0*n + 2 = -2*n. Let x(r) = -13*r**2 - r + 6. Let c(t) = 1. Let k(p)
{ "pile_set_name": "DM Mathematics" }
b + 3*q. Factor 3*p**3 + p**5 - 4*p**3 - 2*p**3 - b*p**2. p**2*(p - 2)*(p + 1)**2 Let w be (-9 + (-112)/(-12))/(1/(180/7)). Factor -3*t**3 - 24/7 - w*t - 3/7*t**4 - 54/7*t**2. -3*(t + 1)*(t + 2)**3/7 Let c = 15 - 3. Suppose 12 - c = -4*m. Factor 0*p**2 + 2/13*p**3 + 0 + m*p + 4/13*p**4 + 2/13*p**5. 2*p**3*(p + 1)**2/13 Let b(p) be the first derivative of -p**6/40 - p**5/10 - p**4/6 + 8*p**3/3 - 27. Let i(j) be the third derivative of b(j). Factor i(x). -(3*x + 2)**2 Let l(g) be the second derivative of -1/12*g**3 + 0*g**6 - 1/252*g**7 - 1/6*g**2 - 10*g + 1/36*g**4 + 1/30*g**5 + 0. Suppose l(u) = 0. Calculate u. -1, 1, 2 Let z(q) be the first derivative of -3/4*q**2 + 2*q + 0*q**3 + 1/8*q**4 - 6. Let l(s) be the first derivative of z(s). Factor l(g). 3*(g - 1)*(g + 1)/2 Let f(h) be the first derivative of -2*h**5/35 + 5*h**4/14 + 2*h**3/7 - 13*h**2/7 - 20*h/7 + 689. What is q in f(q) = 0? -1, 2, 5 Let p(w) be the third derivative of w**9/22680 + w**8/12600 - w**7/6300 - w**6/2700 + w**3/2 - 12*w**2. Let y(h) be the first derivative of p(h). Factor y(n). 2*n**2*(n - 1)*(n + 1)**2/15 Let y(q) be the second derivative of 2*q**7/21 + 4*q**6/5 + 3*q**5/5 - 26*q**4/3 - 16*q**3 + 124*q. What is m in y(m) = 0? -4, -3, -1, 0, 2 Let x = -111 - -113. What is o in 32*o + 12 + 56*o**x + 16*o**3 + 0 - 116*o**2 = 0? -1/4, 1, 3 Let h be (16/(-384))/(((-4)/54)/2). Let a(u) be the third derivative of 3/16*u**4 - 7*u**2 + 0*u + 1/80*u**5 + h*u**3 + 0. Factor a(f). 3*(f + 3)**2/4 Let x = 20 - 27. Let j be (-24)/42*x/1. Factor 4/9*i**3 + 2/9*i**5 - 2/9 - 2/3*i - 4/9*i**2 + 2/3*i**j. 2*(i - 1)*(i + 1)**4/9 Let p(d) = -d**2 + 11*d - 16. Let m be p(9). Let m*y**3 - 3*y**2 - 113 + 117 - 3*y**3 = 0. What is y? -2, 1 Let u(m) = -2 + 6*m**2 - 7*m - 15*m**2 + 7. Let j(x) = -5*x**2 - 3*x + 3. Let l(s) = -10*j(s) + 6*u(s). Factor l(r). -4*r*(r + 3) Let n(f) be the first derivative of f**4/6 - 8*f**3/3 - 28*f**2/3 - 5. Factor n(x). 2*x*(x - 14)*(x + 2)/3 Factor -6*s**3 + 0 - 3/8*s**5 + 0*s - 21/8*s**4 - 9/2*s**2. -3*s**2*(s + 2)**2*(s + 3)/8 Let h(u) be the third derivative of 5*u**2 + 0 + 1/240*u**6 + 7/240*u**5 + 1/12*u**3 + 7/96*u**4 + 0*u. Determine s, given that h(s) = 0. -2, -1, -1/2 Solve -3/2*t - 3/4*t**2 + 0 + 3/4*t**4 + 3/2*t**3 = 0 for t. -2, -1, 0, 1 Let g = 193 + -190. Let x(v) be the first derivative of 0*v + 4*v**2 + 5 + 4/3*v**g. Determine t so that x(t) = 0. -2, 0 Find o such that -50/3*o + 26/3*o**3 - 30*o**2 + 500/3 - 2/3*o**4 = 0. -2, 5 Let n(l) be the first derivative of l**7/2520 + l**6/1080 + 4*l**3 + 11. Let f(p) be the third derivative of n(p). What is z in f(z) = 0? -1, 0 Let o(x) = x**2 - 10*x + 23. Let s be o(7). Suppose s*y - 8*y = -5*y. Factor 0*w + y + 0*w**2 - 1/4*w**3. -w**3/4 Let b = 23 - 20. Let 24*i**2 - 1 - i - b*i**2 - 1 = 0. What is i? -2/7, 1/3 Let d = -1545 + 1547. Let i(s) be the second derivative of -1/70*s**6 + 0*s**3 - 3/35*s**5 + 0 - 1/7*s**4 - 3*s + 0*s**d. Let i(n) = 0. Calculate n. -2, 0 Let y(c) = -3*c**2 + 12*c + 38. Let z(v) = -5*v**2 + 25*v + 75. Let o(b) = -5*y(b) + 2*z(b). Let o(q) = 0. Calculate q. -2, 4 Let m(s) be the first derivative of -2/69*s**3 - 50/23*s - 42 - 10/23*s**2. Solve m(u) = 0. -5 Let k be ((-77)/(-14))/((-7)/78). Let p = -61 - k. Factor p*u**2 + 0 - 6/7*u. 2*u*(u - 3)/7 Let i(x) = x**3 - x**2 + 5*x - 5. Let v(s) = 4 - 3 + 6*s + 4 - 11*s. Let g(n) = 5*i(n) + 6*v(n). Factor g(f). 5*(f - 1)**2*(f + 1) Suppose -4*d + 0*d = 3*z + 52, -d + 2*z - 24 = 0. Let g be d/33 + 6/9. Suppose 2/11*f**2 - g + 0*f = 0. What is f? -1, 1 Let d(i) be the first derivative of i**4/4 - 7*i**3 + 47*i**2/2 - 27*i - 1. Let k(h) = -h**3 + h. Let s(g) = d(g) - 2*k(g). Suppose s(x) = 0. Calculate x. 1, 3 Factor 4*t**4 - 15840*t - 965*t**2 - 360*t**3 + 4548 + 9417*t**2 + 3196. 4*(t - 44)**2*(t - 1)**2 Let t(d) be the second derivative of d**6/75 - 3*d**5/50 + d**4/30 + d**3/5 - 2*d**2/5 - 35*d - 1. Factor t(c). 2*(c - 2)*(c - 1)**2*(c + 1)/5 Let v(w) = -w**3. Let j(n) = -8*n**3 - 345*n**2 - 448*n - 148. Let m(l) = -5*j(l) - 5*v(l). Factor m(t). 5*(t + 37)*(3*t + 2)**2 Let d be (-8 - -15)*(-14)/(-14)*12/238. Find i, given that -2/17*i**3 + 10/17*i + d + 2/17*i**2 = 0. -1, 3 Let q(a) = -a**2 - 37*a + 69. Let x(i) = -18*i + 34. Let d be 6/(-10) - -26*3/30. Let v(w) = d*q(w) - 5*x(w). Factor v(f). -2*(f - 4)**2 Factor 2*z**2 - 208/7 + 724/7*z. 2*(z + 52)*(7*z - 2)/7 Let x(y) be the third derivative of 3*y**7/35 - y**6/4 - 16*y**5/15 - y**4 + 93*y**2. Find l, given that x(l) = 0. -2/3, 0, 3 Suppose -8*o - 70 = -4*o - 82. Determine a, given that 0*a**2 + 2/3 + a - 1/3*a**o = 0. -1, 2 Factor 12*t - 4*t + t**4 + 24*t - 44 + 6*t**2 + 2*t**2 - 4 - 8*t**3. (t - 6)*(t - 2)**2*(t + 2) Let a(g) be the third derivative of -g**8/5040 - g**7/2520 - 13*g**3/6 + 8*g**2. Let t(c) be the first derivative of a(c). Factor t(y). -y**3*(y + 1)/3 Suppose -s - 2 = -4*x, 4*s - 32 = -0*s - 4*x. Suppose 33 = -s*r + 17*r. Factor 12/11*j**2 + 8/11*j**4 + 0 + 2/11*j + 18/11*j**r. 2*j*(j + 1)**2*(4*j + 1)/11 Let r(w) = -9*w**2 + 9*w - 4. Let n = -30 + 32. Let l(b) = b. Let p(i) = n*r(i) + 6*l(i). Find s, given that p(s) = 0. 2/3 Let m = -210 + 213. Factor 0*c**2 - 2/7*c + 2/7*c**m + 0. 2*c*(c - 1)*(c + 1)/7 Let o(u) be the second derivative of 1/30*u**5 + 16/3*u**3 - 6*u + 0 + 2/3*u**4 - 3*u**2. Let k(i) be the first derivative of o(i). Factor k(l). 2*(l + 4)**2 Let c(g) be the third derivative of -g**5/270 - 119*g**4/108 - 118*g**3/27 - 346*g**2. Solve c(u) = 0. -118, -1 Determine b, given that -191 - 48*b - 8*b**2 + 146 + 5*b**2 = 0. -15, -1 Let -z**3 - 2*z + 5*z**3 - 16*z**2 + 8 - 1454*z**5 + 8*z**4 + 1452*z**5 = 0. What is z? -1, 1, 4 Let p be 17/68 + (-49)/(-140). Determine q so that 0*q + 0 + p*q**2 - 1/5*q**4 - 2/5*q**3 = 0. -3, 0, 1 Let h be 8 - (-56)/(-8) - -1. Factor -1/3*u**h + 0 - 2/3*u. -u*(u + 2)/3 Let d(w) = 2*w. Let o(t) = 3*t**2 - 18*t + 3. Let y(z) = 6*d(z) + o(z). Determine s, given that y(s) = 0. 1 Let h(c) = -5*c**2 + 10*c - 16. Let b(x) = x**2 - 2*x + 3. Suppose 2*u = 8*u + 132. Let y(f) = u*b(f) - 4*h(f). Factor y(r). -2*(r - 1)**2 Let k(t) be the first derivative of -3*t**5/10 - 69*t**4/8 - 60*t**3 + 108*t**2 - 46. Factor k(a). -3*a*(a - 1)*(a + 12)**2/2 Find b, given that -2/13*b - 12/13 + 2/13*b**2 = 0. -2, 3 Let j be 2/14 + 20/49*7. Let c(n) be the second derivative of 23/12*n**4 + 2*n**2 + 0 - 3/8*n**5 - 3*n**j + 3*n. Factor c(k). -(k - 2)*(3*k - 2)*(5*k - 2)/2 Let a(s) be the third derivative of s**6/200 - s**5/20 - 11*s**4/20 - 8*s**3/5 + 365*s**2. Suppose a(v) = 0. What is v? -2, -1, 8 Determine k, given that 0 - 13/4*k**3 + 0*k**2 - 7/2*k**4 + 0*k - 1/4*k**5 = 0. -13, -1, 0 Let a(d) = 20*d**4 - 48*d**3 + 16*d**2 - 65. Let j(u) = 5*u**4 - 12*u**3 + 4*u**2 - 15. Let w(f) = 6*a(f) - 26*j(f). Factor w(m). -2*m**2*(m - 2)*(5*m - 2) Let r(o) = -4*o**2 + 144*o - 108. Let p(v) = v**2 - 29*v + 22. Let z(b) = -16*p(b) - 3*r(b). Solve z(i) = 0. 1, 7 Let s(o) be the third derivative of 2/5*o**4 + 9*o**2 + 9/100*o**5 + 0 - 2/5*o**3 + 0*o. Find p such that s(p) = 0. -2, 2/9 Let m(j) be the second derivative of 3*j**5/20 - 3*j**4/4 - 3*j**3 + 12*j**2 - 768*j. Factor m(a). 3*(a - 4)*(a - 1)*(a + 2) Let h be 0 + (-1 + (-889)/(-888) - 0). Let l = h - -7097/6216. Find z, given that -l + 2*z**2 + 16/7*z - 10/7*z**3 = 0. -1, 2/5, 2 Suppose 2*h = -0*h + 5*t - 8, 0 = -h - 3*t - 4. Let p(y) = 7*y**2. Let d(a) = 21*a**2 + 14*a**2 + a**2. Let q(r) = h*d(r) + 21*p(r). Find s such that q(s) = 0. 0 Let b = -8 + 10. Suppose -10 = -u - 10*x + 8*x, 5*x - 25 = 0. Factor -1/2*m**b - 3/2*m**4 + 0*m + 3/2*m**3 + 1/2*m**5 + u. m**2*(m - 1)**3/2 Let d(o) = -3*o - 18. Let v be d(-8). Factor 3*i**4 - 2*i**2 - v*i**4 + 8*i**3 - i**4 - 2*i**4. -2*i**2*(i - 1)*(3*i - 1) Let m(g) = -3*g**2 - 2*g**5 + g + 6*g**3 + 4*g**4 + 3*g**2 + g**2. Let b(n) = n**5 + n**2. Let q(w) = -15*b(w) - 5*m(w). Determine r so that q(r) = 0. -1, 0 Suppose -147*g = -143*g - 16. Let p be (8 - (-30)/(-6))*g/3. Factor 4*r - 8/3 + 4/3*r**5 + 8/3*r**2 + 0*r**p - 16/3*r**3. 4*(r - 1)**3*(r + 1)*(r + 2)/3 Let i(j) be the first derivative of -2*j**3/3 + 3*j**2 - 12. Let x(c) = -3*c**2 + 11*c - 1. Let d(t) = 7*i(t) - 4*x(t). Factor d(p). -2*(p - 1)*(p + 2) Let o(v) be the second derivative of v**7/350 - v**
{ "pile_set_name": "DM Mathematics" }
ulate the greatest common factor of j and 3. 3 Let s = 8 + -5. Let o be 2 - (-1*s + 2). Suppose 2*u - 4*r + 2 = 0, o*r + 6 = 21. Calculate the greatest common divisor of 45 and u. 9 Suppose 0 = s + 3*s - 4. Let u = -3 + s. Let o(a) = -13*a**3 - a**2 - 4*a - 3. Let q be o(u). Calculate the highest common factor of q and 21. 21 Suppose -3*p + 6 = -3*u + 57, 2*p + 17 = u. Calculate the highest common factor of 136 and u. 17 Let y(o) = o**3 + 5*o**2 - 3*o + 3. Let d be y(-5). Let s(b) = 6*b**2 + 5*b + 12. Let w be s(-6). What is the highest common divisor of w and d? 18 Let j be -3 + (-187)/(-4) + (-14)/(-56). What is the greatest common factor of 4 and j? 4 Let z = 1 + 0. Let g be (20/(-50))/(z/(-5)). What is the greatest common divisor of g and 10? 2 Suppose l - 1 = 2. Let s be (-64)/l*(-6 + 3). Calculate the greatest common divisor of s and 8. 8 Let y be (-4 - (0 + 30))/(-1*2). What is the highest common divisor of 85 and y? 17 Let i(j) = j**2 - 2*j + 2. Let m be i(2). Suppose m*r = o + 7, 3*o = -5*r + 7*o + 16. Calculate the highest common factor of r and 28. 4 Suppose h - 2 = 0, -l = -3*h + h - 139. Let u = -2 - -11. Let v be (-3 - u/(-3)) + 13. Calculate the highest common factor of l and v. 13 Let m = 9 - 1. Suppose 2*q - 16 - m = 0. Calculate the greatest common divisor of q and 36. 12 Suppose -3*q + 28 = -2*z, -q - 1 + 10 = -z. Let y = 4 - q. Let d be 24/(-10)*15/y. Calculate the greatest common divisor of d and 12. 6 Suppose 4*f = 2*h - 3*h - 9, -f + 3 = -5*h. Let l be (f + -1 - -5)*24. What is the highest common factor of 6 and l? 6 Let n = -4 + 7. Suppose w - 5*y - 11 = 0, -5*w + 107 = -n*y + 30. Let x be 614/8 + 4/w. What is the highest common factor of 11 and x? 11 Suppose 3*c + c - 24 = 0. Suppose -c*f = -f - 500. Suppose 3*r - 91 - 35 = -3*n, -2*r - 3*n = -86. What is the highest common factor of f and r? 20 Let b = 192 - 271. Let i be b/(-6) - 6/36. Calculate the highest common divisor of 104 and i. 13 Suppose -2*z - a + 14 = -4*a, z + 6 = -5*a. What is the highest common divisor of z and 4? 4 Let u be (-2)/(-3)*3/1. Let z be u - -12 - 0/(-3). Let v be (-4)/6 - (-65)/3. Calculate the highest common divisor of v and z. 7 Suppose 5*l - 51 = -3*m, 0 = -5*l + 2*m + 41 - 0. Let v be (0 + 1)*19 - 1. What is the greatest common factor of v and l? 9 Let i(o) = o**2 + 3*o - 4. Let t be i(-4). Suppose p + t = 5. Suppose 156 = 4*l - 7*m + 3*m, -p*l - 3*m = -163. What is the highest common factor of l and 5? 5 Let s = -11 + 11. Let l = 5 + s. Suppose i + 0*i - 35 = 0. Calculate the highest common factor of l and i. 5 Let z(k) = 12*k + 5. Let h be z(6). What is the greatest common factor of 11 and h? 11 Let l(w) = w - 4. Let t be l(6). Let g be -2*(1 - t) - 0. Let c = 5 - -5. What is the highest common factor of c and g? 2 Suppose 3*q - 4*q = -j - 17, 0 = -2*q - 5*j + 48. Let y(b) = -b**3 + b**2 + 4*b - 7. Let n be y(-4). Calculate the highest common factor of n and q. 19 Let x(t) = -2*t + 20. Let b be x(-8). What is the greatest common factor of 27 and b? 9 Let v = 11 + -6. Let g = v + -4. What is the highest common divisor of g and 3? 1 Let h be (1 + -16)*14/(-35). What is the greatest common factor of 48 and h? 6 Suppose 3*l = 4*u + 3, -4*u + 22 = -2*l + 4*l. Let z = -8 + 10. Suppose 0 = -z*f + 3*g - 7, -f + g + 1 = 3*f. Calculate the greatest common divisor of l and f. 1 Suppose 4*j - 3*j - 4 = 0. Calculate the highest common factor of j and 4. 4 Suppose 0 = 5*r - 2*d - 36, 21 = 5*r - 3*r - 3*d. Let y(u) = u - 3. Let k be y(r). Suppose 99 = 2*i + k. What is the highest common divisor of 24 and i? 24 Let o(z) = z - 6. Let a be o(7). Let h(b) = -5 + 1 + b - 3*b. Let p be h(-4). What is the highest common divisor of a and p? 1 Let z be ((-1)/(-4))/((-6)/(-264)). Suppose l = 3*l - s + 548, 4*l - 5*s = -1084. Let r = -166 - l. What is the greatest common divisor of r and z? 11 Let u(p) = p**3 + 9*p**2 - 11*p + 3. Let n be u(-10). Calculate the highest common divisor of 65 and n. 13 Let b = 8 + -15. Let n be (b/14)/((-2)/24). Suppose 0*y = y - n. Calculate the greatest common factor of y and 66. 6 Let l(c) = c**3 - 10*c**2 - 14*c - 25. Let t be l(12). Calculate the greatest common factor of t and 19. 19 Let o = 79 + -75. What is the highest common factor of o and 20? 4 Let t(h) = 14*h - 1. Let v be t(5). Calculate the greatest common divisor of v and 46. 23 Suppose -3*o = y + o - 37, -2*y = o - 46. Let m = y + -14. What is the greatest common divisor of m and 21? 7 Let p = -8 + 10. Let n(i) = 7*i**2 - 3*i. Let h be n(2). What is the highest common divisor of h and p? 2 Suppose 0*j + 4*j = 0. Suppose j = -2*n + 11 + 37. Suppose -3*o + n = 2*f, -f - 3*f - 4*o + 40 = 0. What is the greatest common divisor of f and 48? 6 Suppose o = -2*g, -4*g = -0*g - 2*o - 8. Let m(s) = s + 2. Let q be m(g). Calculate the highest common factor of 2 and q. 1 Let y be 1/1 + (5 - 1). Suppose -y*o - 5*p + 245 = 0, 0*p = 5*o - 4*p - 200. Let m be -1 + (o + -2)/2. Calculate the greatest common divisor of 220 and m. 20 Suppose -5*t + r + 89 = -2*t, 35 = t - 3*r. What is the greatest common factor of t and 58? 29 Let a = -22 - -25. What is the highest common divisor of a and 24? 3 Suppose 21 = 2*y + c, -32 = -4*y - 5*c + c. Let d = -143 - -260. What is the greatest common factor of d and y? 13 Let q(k) = -2*k**2 + 0*k - 7*k + 1 + 3*k**2 - 5. Let r be q(-5). Suppose a = -3*a + r. Calculate the greatest common divisor of 7 and a. 7 Suppose -5*b = -2*g - 0*b + 132, 3*b = -3*g + 156. Suppose -d - 5 = 0, -2*o + 3 = d - 6. Calculate the highest common factor of o and g. 7 Let g be (5 + -4)*1*10. Calculate the highest common factor of g and 120. 10 Let o = -10 - -15. Suppose -4 = d + 5*x, -d + 5*x + 8 = 2. What is the highest common factor of d and o? 1 Let h be (-1)/(-3) + 4/(-12). Suppose 0 = f - h*f - 4. What is the highest common divisor of f and 12? 4 Let n(h) = 16*h - 1. Let s be n(1). Suppose 0*o - s = -3*o. Suppose o*x + 0*x - 2*c = 69, x + 2*c - 9 = 0. What is the greatest common divisor of x and 26? 13 Let g = 14 + -5. Let x = -7 + g. Calculate the greatest common divisor of 4 and x. 2 Let c = 4 - -2. Let q(w) = w**3 + 7*w**2 + 7*w. Let v be q(-5). Let j be -6*(-2)/(6/v). What is the greatest common divisor of j and c? 6 Let r = -3 - -17. Let t be -1 + -2 - (r + -1). Let l be t/10*35/(-14). Calculate the highest common divisor of 20 and l. 4 Let s(q) = -2*q - 7. Let a be s(-5). Let l be ((-2)/a)/((-6)/117). Calculate the highest common divisor of 26 and l. 13 Let z(w) = -w**3 + w. Let f(b) = -5*b**3 - 8*b**2 - 4*b - 6. Let n(c) = -f(c) + 4*z(c). Let k be n(-6). What is the greatest common factor of k and 15? 15 Let z be (34/4)/((-10)/(-20)). Calculate the greatest common factor of 187 and z. 17 Suppose -4*s + 5*b - 680 = -0*b, 0 = 4*s - b + 664. Let j = 44 - s. Calculate the highest common factor of j and 19. 19 Let o(h) = -1. Let t(g) = g**2 + 7*g - 2. Let z(i) = 6*o(i) - t(i). Let u be z(-5). What is the greatest common factor of u and 9? 3 Let z be ((-2)/4)/(2/(-32)). Let c = z - -8. What is the greatest common divisor of 112 and c? 16 Suppose 0 = -4*p + 15 + 249. What is the highest common factor of 6 and p? 6 Let l be (-2)/6*(-22 + 1). Suppose 0*g = 5*g - 10. Suppose g*d = -0*d + 126. What is the highest common divisor of l and d? 7 Let k(u) be the first derivative of u**2 - 7*u + 4. Let q be k(6). What is the greatest common divisor of q and 2? 1 Suppose -6 - 66 = -12*o. Let f be (3/(-2))/(2/(-16)). What is the highest common divisor of f and o? 6 Suppose 4*m - 210 = -m. Let c(q) = 64*q**2 + q - 3*q + 3*q. Let r be c(-1). Calculate the greatest common factor of m and r. 21 Suppose 3*n + c - 6 - 40 = 0, -2*n = 5*c - 9. Let r(a) = -a**2 - a - 2. Let h be r(0). Let u be 17*h*36/(-8). Calculate the greatest common divisor of n and u. 17 Suppose s = 4*v + 25, 5*v + 0 = -25. Suppose s*q - 16 = -1. Suppose 0 = q*m - 4*g - 37, -3*m + 2*g = -0*g - 35. What is the highest common divisor of 22 and m? 11 Suppose t + 6 = n + n, 14 = t + 3*n. Suppose t*a = 4*a - 28. Calculate the greatest common divisor of a and 21. 7 Let s = 13 + -10. Calculate the greatest common factor of s and 3. 3 Let v = -25 - -45. Let i(x) = -x**2 - 8*x + 1. Let n = -15 + 8. Let j be i(n). What is
{ "pile_set_name": "DM Mathematics" }
remainder when 326/8 + 7/28 is divided by t. 13 Let l(o) = -o**3 - o + 8. Let f be l(0). Let h = -251 + 258. Calculate the remainder when h is divided by (f/10)/((-1)/(-5)). 3 Suppose -3*s + 6*s = -x + 10, 0 = -x - 2*s + 5. Let r(a) = a**2 + 4*a + 6. What is the remainder when 43 is divided by r(x)? 10 Let b(c) = 7*c + 2. Calculate the remainder when b(8) is divided by 15. 13 Let q = -119 + 134. Suppose u + 1 - 6 = 0, 45 = 5*o + 5*u. What is the remainder when q is divided by o? 3 Let a = -43 - -62. Let j(b) = 5*b + 1. Calculate the remainder when j(11) is divided by a. 18 Let z = 10 + -4. Let p be (1 - 3)*11/(-2). Suppose -55 + p = -4*x. What is the remainder when x is divided by z? 5 Calculate the remainder when 1 is divided by (5/1 - 4)/(2/2). 0 Let i = 0 + -1. Let g = i + -5. Let v = 5 - g. Calculate the remainder when 20 is divided by v. 9 Let z(m) = 5*m - 1. Let h be z(3). Suppose 5 = -3*a + h. Calculate the remainder when a/9 + 244/6 is divided by 14. 13 Let t(d) be the third derivative of -d**5/60 + 11*d**4/24 - 11*d**3/6 + d**2. Let m be (-8 - (-3 - -3))*-1. What is the remainder when 38 is divided by t(m)? 12 What is the remainder when (-1)/((-2)/(78 + 4)) is divided by 15? 11 Let f(v) = -23*v - 9. Calculate the remainder when f(-4) is divided by 28. 27 Suppose -i = i - 40. What is the remainder when 39 is divided by i? 19 Let s = 50 - 35. What is the remainder when s is divided by 4? 3 Let i = 27 + -16. Let n(z) = z**2 + 9*z - 3. Let y be n(6). Let v = y + -55. What is the remainder when v is divided by i? 10 Let s(i) = -i**3 - 5*i**2 - i - 7. Suppose 40 - 16 = -4*h. Let y be s(h). Let f = 72 - y. What is the remainder when f is divided by 13? 11 Let o(c) = c + 10. Let y(p) = p**3 + p**2 - 8*p - 9. Calculate the remainder when o(0) is divided by y(-2). 1 Suppose -5*n + 272 = 77. Calculate the remainder when n is divided by 14. 11 Suppose -4*t + 34 = -70. What is the remainder when t is divided by 15? 11 Calculate the remainder when 100 is divided by (442/(-39))/((-2)/6). 32 Calculate the remainder when (258/15 - 4)*10/3 is divided by 15. 14 Suppose 2*z - 106 = -4*n, -z + 159 = 2*z + 2*n. Let a(c) = c**2 + 8*c + 9. Let k = -28 + 19. Calculate the remainder when z is divided by a(k). 17 Let r(d) = -d**2 + 7*d - 1. Calculate the remainder when 29 is divided by r(3). 7 Calculate the remainder when 121/2 + ((-5)/2)/(-5) is divided by 16. 13 Let b be (0/(-2) + -62)/1. Suppose -5*w + 12*w = -903. Let m = b - w. Calculate the remainder when m is divided by 23. 21 Let a be (-4)/(-6) + 58/3. Suppose 3*p - a = 1. Suppose -q + 2 = 0, 2*t - 4*q + 5 = t. Calculate the remainder when p is divided by t. 1 Let s(a) = -a**2 + 16*a - 23. Calculate the remainder when 62 is divided by s(12). 12 Let h = -92 - -130. Calculate the remainder when h is divided by 10. 8 Let h = 170 + -129. What is the remainder when h is divided by (1 - 0)/((-1)/(-15))? 11 Suppose 0 = -z - 3*y + 7, 4*z + 2*y = -z + 35. Let v(c) be the second derivative of -c**3/6 + 5*c**2 + 5*c. Calculate the remainder when 5 is divided by v(z). 2 Let y = -61 + 2. Let n = 86 + y. Calculate the remainder when n is divided by 4/14 - (-96)/7. 13 Suppose 36 = 2*g - 14. Let u(h) = 2*h**2 + 13*h - 18. What is the remainder when u(5) is divided by g? 22 Let c = -2 - 19. Let g be 5/(24/c - -1). Let d = -21 - g. Calculate the remainder when 41 is divided by d. 13 Let p(q) = 25*q - 94. What is the remainder when 117 is divided by p(5)? 24 Suppose 7 = 4*b - 13. Let r = 3 + 7. Suppose 3*v + 1 - r = 0. What is the remainder when b is divided by v? 2 Let a = 10 + 29. What is the remainder when a is divided by 14? 11 Suppose 0*d = -2*d - 2. Let w = 7 + d. Calculate the remainder when (198/(-24))/((-3)/8) is divided by w. 4 Suppose 6*d = 11*d - 265. Calculate the remainder when d is divided by 1/(-4) + (-57)/(-4). 11 Suppose 18 = 5*l - 12. Suppose -5*k + 15 = 0, t - 7 = -0*k - k. Calculate the remainder when 3 - (t + -23) - -1 is divided by l. 5 Let k(x) = -x - 4. Let t be k(-8). Suppose 4*u + 3*n = 4*n + 232, 232 = t*u + 2*n. What is the remainder when u is divided by 12? 10 Suppose 17 + 24 = p - w, w = -2*p + 85. What is the remainder when p is divided by 17? 8 Suppose -5*o + 92 = -83. What is the remainder when o is divided by 19? 16 Let d = -33 + 48. Calculate the remainder when 70 is divided by d. 10 Let g = 96 - 69. What is the remainder when 51 is divided by g? 24 Let m = -25 - -39. Let w(z) = -z**3 - 5*z**2 + 3*z + 9. What is the remainder when w(-6) is divided by m? 13 Let o(h) = -h**2 + 5. Let q be o(-6). Let w(j) = -8*j + 32. Let f be w(-8). Let c = f + q. Calculate the remainder when c is divided by 17. 14 What is the remainder when (-1*2)/(36/(-414)) is divided by 3? 2 Let u = -60 + 87. What is the remainder when 53 is divided by u? 26 Suppose -a - 1 = -5, 3*o + 3*a = 42. What is the remainder when 18 is divided by o? 8 Suppose a + 6 = 4*a, -5*r - 5*a = 130. Calculate the remainder when (-612)/r - (-1)/7 is divided by 8. 6 Let q = 13 - 7. Let h(y) = -9 - 3*y + 3*y + 3*y. Calculate the remainder when 26 is divided by h(q). 8 Suppose -17*d + 12*d = -505. Let o = 53 - 19. Calculate the remainder when d is divided by o. 33 Let b(q) = 2*q**2 - 3*q - 5. What is the remainder when 59 is divided by b(4)? 14 Suppose 0 = -3*v + 10*v - 168. What is the remainder when 95 is divided by v? 23 Suppose 10*z - 64 = 8*z. What is the remainder when z is divided by 17? 15 What is the remainder when 4 + (13 - 1)*(-12)/(-8) is divided by 6? 4 Let t(o) = o**3 - 5*o**2 + 4*o - 6. Let u(s) = -s + 29. What is the remainder when u(-12) is divided by t(5)? 13 Let x(l) = -l**3 + 5*l**2 - l + 3. What is the remainder when x(3) is divided by 10? 8 Suppose 5*w = 7 + 3. Suppose -3*b + 22 = -b - 5*k, w*b - 22 = k. What is the remainder when b is divided by 4? 3 What is the remainder when (6/5)/((-6)/(-100)) + 2 is divided by (-2)/(-4)*(-96)/(-6)? 6 Let a be (-1)/(-2) - (-5)/(-2). Calculate the remainder when 43 is divided by ((-5)/2)/(a/12). 13 Let q(u) = u**3 + 8*u**2 + 8*u - 6. Let b(n) = -50*n**3 + n**2 + 2*n + 2. What is the remainder when b(-1) is divided by q(-6)? 15 Suppose 3*l + 98 = 4*l. What is the remainder when l is divided by 25? 23 Let d = 13 + -5. Calculate the remainder when -16*(-6)/3 - 1 is divided by d. 7 Suppose 0 = -3*a + 4*b - 10, 0 = -2*a + 5*b - b - 12. Let v = a + 2. Suppose -p + v = 4*z + 5, 5*p = -3*z - 22. Calculate the remainder when 1 is divided by z. 0 Suppose -48 = -0*s - 4*s. Let w(j) = 2*j + 8. What is the remainder when w(13) is divided by s? 10 Let z = 2 - -5. Suppose -x - 35 = -3*f - 3*x, -x - 67 = -5*f. Calculate the remainder when f is divided by z. 6 Let g = 7 - 5. Let d be (-1)/(-1)*(1 - 34). What is the remainder when 18 is divided by d/(-3) - (g + -1)? 8 Let r(b) = b + 30. Calculate the remainder when r(-18) is divided by 3/(-12) + (-13)/(-4). 0 Let x(d) = 4*d**2 - 6*d + 1. Calculate the remainder when x(5) is divided by 18. 17 Let v = -5 + 10. Suppose v = 3*a - 10. Suppose -a*m + 4*m = 5*l - 20, -3*m = -l + 4. What is the remainder when l is divided by 3? 1 Suppose -5*x + 3 = 4*a, 0 = 3*a - x + 7 + 5. Calculate the remainder when a*1/(6/(-176)) is divided by 18. 16 Suppose 0*a - a = 0. Suppose a*p - 2*p = 0. Suppose -3*o + 2*c + 216 = p, -3*o + 2*c + 207 = 3*c. Calculate the remainder when o is divided by 24. 22 Let f = 36 + -54. Let c = 1 - f. What is the remainder when c is divided by 10? 9 Suppose -2*j + 4*i = -7*j + 15, -3*i = -3*j - 18. Let g be 0/j - (2 + 1). Let t(f) = -2*f - 1. What is the remainder when 13 is divided by t(g)? 3 Suppose 26 = -0*v + v. What is the remainder when v is divided by 7? 5 Suppose 7*j - 48 = 5*j. What is the remainder when j is divided by 9? 6 Let u(y) = -y**2 + 13*y + 13. Suppose 0 = -3*i + 5 + 49. What is the remainder when u(11) is divided by i? 17 Suppose -2*f + 143 = 7. Let j(s) = -2*s**3 - 5*s**2 - 2*s - 1. Calculate the remainder when f is divided by j(-3). 12 Let c = -10 - -25. Calculate the remainder when 2/5 + 429/c is divided by 8. 5 Suppose -5*h + 20 = -4*h. What is the remainder when 38 is divided by h? 18 Suppose b + 2 = -b - 4*z, 0 = 4*z + 8. Let l = -11 - -18. Suppose -37 + l = -b*c. What is the remainder when c is divided by 6? 4
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 10535896 is divided by 102290? 26 What is the remainder when 4283636 is divided by 1427440? 1316 Calculate the remainder when 43890255 is divided by 21945126. 3 What is the remainder when 500202 is divided by 1158? 1104 Calculate the remainder when 2067638 is divided by 1033624. 390 Calculate the remainder when 22181379 is divided by 58. 33 Calculate the remainder when 12905682 is divided by 22923. 33 Calculate the remainder when 3517315 is divided by 475. 415 Calculate the remainder when 45331317 is divided by 9274. 5 What is the remainder when 511124 is divided by 201? 182 What is the remainder when 766189 is divided by 766188? 1 What is the remainder when 38647803 is divided by 68? 3 Calculate the remainder when 760270 is divided by 1724. 1710 Calculate the remainder when 369219 is divided by 1077. 885 Calculate the remainder when 31561 is divided by 29369. 2192 Calculate the remainder when 521319 is divided by 30663. 48 What is the remainder when 357764 is divided by 17351? 10744 Calculate the remainder when 1459624 is divided by 765. 4 What is the remainder when 23294 is divided by 2575? 119 What is the remainder when 1504243 is divided by 188026? 35 What is the remainder when 66900189 is divided by 3883? 3865 What is the remainder when 19355 is divided by 149? 134 What is the remainder when 2084167 is divided by 1042082? 3 What is the remainder when 265908 is divided by 99? 93 What is the remainder when 903361 is divided by 7? 4 What is the remainder when 4889965 is divided by 5093? 685 What is the remainder when 3387289 is divided by 650? 139 What is the remainder when 325056 is divided by 532? 4 What is the remainder when 692387 is divided by 5489? 773 What is the remainder when 9095908 is divided by 131823? 121 What is the remainder when 29280789 is divided by 9760258? 15 What is the remainder when 5801713 is divided by 3472? 1 What is the remainder when 372152 is divided by 124031? 59 What is the remainder when 1731058 is divided by 7767? 6784 What is the remainder when 200749032 is divided by 240418? 2 Calculate the remainder when 8433494 is divided by 81878. 60 What is the remainder when 43288 is divided by 74? 72 Calculate the remainder when 1091146 is divided by 121234. 40 Calculate the remainder when 428496 is divided by 744. 696 What is the remainder when 1557407 is divided by 63? 47 What is the remainder when 2140846 is divided by 7729? 7642 What is the remainder when 177155 is divided by 16105? 0 Calculate the remainder when 15869731 is divided by 120225. 31 What is the remainder when 41222 is divided by 41115? 107 Calculate the remainder when 30539286 is divided by 3053928. 6 Calculate the remainder when 468045 is divided by 379. 359 What is the remainder when 207459282 is divided by 165? 162 Calculate the remainder when 42229 is divided by 2780. 529 Calculate the remainder when 304727 is divided by 1513. 614 What is the remainder when 17752495 is divided by 5917497? 4 Calculate the remainder when 759224 is divided by 2030. 4 Calculate the remainder when 1154499 is divided by 904. 91 What is the remainder when 173497 is divided by 3473? 3320 Calculate the remainder when 4879541 is divided by 1568. 1493 What is the remainder when 62937 is divided by 12504? 417 Calculate the remainder when 10318 is divided by 2338. 966 Calculate the remainder when 714385 is divided by 198. 1 Calculate the remainder when 42891 is divided by 8565. 66 Calculate the remainder when 2488368 is divided by 88. 80 What is the remainder when 118366 is divided by 23672? 6 What is the remainder when 2823005 is divided by 564599? 10 Calculate the remainder when 423975044 is divided by 157. 155 Calculate the remainder when 695069 is divided by 1947. 1937 Calculate the remainder when 746885 is divided by 233. 120 What is the remainder when 168631 is divided by 445? 421 What is the remainder when 14872457 is divided by 34994? 7 What is the remainder when 22708221 is divided by 2270817? 51 What is the remainder when 7370194 is divided by 42? 34 Calculate the remainder when 148228 is divided by 2181. 2101 Calculate the remainder when 103828829 is divided by 688. 685 Calculate the remainder when 536433 is divided by 267771. 891 What is the remainder when 1231128 is divided by 365? 348 Calculate the remainder when 219739 is divided by 763. 758 Calculate the remainder when 15006 is divided by 837. 777 Calculate the remainder when 317161 is divided by 48. 25 What is the remainder when 126324 is divided by 613? 46 Calculate the remainder when 3818104 is divided by 4737. 82 What is the remainder when 58948423 is divided by 3409? 3404 What is the remainder when 9916611 is divided by 180302? 1 What is the remainder when 10596445 is divided by 2649089? 89 What is the remainder when 14208894 is divided by 69? 0 Calculate the remainder when 1856721 is divided by 14. 13 What is the remainder when 955270 is divided by 15406? 98 What is the remainder when 11145166 is divided by 90? 16 Calculate the remainder when 68787 is divided by 169. 4 Calculate the remainder when 6153811 is divided by 116. 11 Calculate the remainder when 1267070669 is divided by 9946. 9945 Calculate the remainder when 487471 is divided by 487458. 13 What is the remainder when 3707580 is divided by 41? 32 What is the remainder when 109468044 is divided by 28? 0 What is the remainder when 3120123 is divided by 3120088? 35 What is the remainder when 674804 is divided by 1252? 1228 Calculate the remainder when 32574 is divided by 35. 24 What is the remainder when 13244 is divided by 13066? 178 Calculate the remainder when 68028 is divided by 353. 252 Calculate the remainder when 161135427 is divided by 34. 9 Calculate the remainder when 390150 is divided by 8668. 90 What is the remainder when 1067996 is divided by 26597? 4116 What is the remainder when 3105103 is divided by 258757? 19 Calculate the remainder when 714964 is divided by 178726. 60 Calculate the remainder when 396798833 is divided by 8378. 8375 What is the remainder when 271106 is divided by 295? 1 Calculate the remainder when 385679 is divided by 12843. 389 Calculate the remainder when 11290415 is divided by 163629. 14 What is the remainder when 10538 is divided by 8131? 2407 Calculate the remainder when 4256801 is divided by 11443. 5 What is the remainder when 34518524 is divided by 85? 24 Calculate the remainder when 526574 is divided by 734. 296 Calculate the remainder when 18261475 is divided by 415033. 23 Calculate the remainder when 5791674 is divided by 1787. 7 Calculate the remainder when 99930 is divided by 1668. 1518 Calculate the remainder when 274501 is divided by 24877. 854 What is the remainder when 16003 is divided by 7854? 295 What is the remainder when 38896 is divided by 7744? 176 Calculate the remainder when 1139093 is divided by 6988. 49 Calculate the remainder when 1894353 is divided by 112. 97 Calculate the remainder when 52981596 is divided by 3898. 3878 Calculate the remainder when 2975298 is divided by 105. 18 Calculate the remainder when 557287 is divided by 1527. 1459 What is the remainder when 120801535 is divided by 95? 10 What is the remainder when 37784 is divided by 2119? 1761 What is the remainder when 2854223 is divided by 1547? 8 Calculate the remainder when 197931 is divided by 832. 747 What is the remainder when 1013477 is divided by 631? 91 Calculate the remainder when 30118598 is divided by 48. 38 Calculate the remainder when 817208 is divided by 135942. 1556 Calculate the remainder when 83993 is divided by 13987. 71 Calculate the remainder when 25028289 is divided by 2141. 2140 Calculate the remainder when 847266 is divided by 2290. 2256 What is the remainder when 75125 is divided by 18781? 1 Calculate the remainder when 26545 is divided by 484. 409 What is the remainder when 43558878 is divided by 6291? 6285 Calculate the remainder when 10533132 is divided by 40826. 24 Calculate the remainder when 2168263 is divided by 722491. 790 What is the remainder when 5019829 is divided by 2509902? 25 What is the remainder when 1463781 is divided by 16652? 15057 What is the remainder when 602436608 is divided by 11210? 11208 Calculate the remainder when 43105541 is divided by 21. 17 Ca
{ "pile_set_name": "DM Mathematics" }
234, -412232, -412230, -412228? -412226 What is next in -8258, -6332, -3114, 1402, 7222, 14352? 22798 What is the next term in 619, 4317, 14181, 33295, 64743, 111609? 176977 What is the next term in 3402, 3540, 3678? 3816 What is the next term in -1171, -1223, -1277, -1333, -1391, -1451? -1513 What is next in -3292, -3393, -3494? -3595 What is next in 1534, 3058, 4576, 6088, 7594, 9094, 10588? 12076 What is next in 127008, 126997, 126984, 126969, 126952, 126933? 126912 What is next in -77, -680, -1283, -1886? -2489 What is the next term in -474, -458, -442, -426, -410, -394? -378 What is the next term in -2161, -2069, -1977, -1885, -1793? -1701 What is next in -114, -230, -388, -582, -806, -1054, -1320? -1598 What comes next: -94, -62, 10, 140, 346, 646, 1058, 1600? 2290 What comes next: -89, -175, -271, -377? -493 What is the next term in -14666, -14660, -14650, -14636, -14618, -14596? -14570 What is next in -551, -997, -1443, -1889, -2335? -2781 What is the next term in -24892, -24877, -24862, -24847? -24832 What comes next: -9562, -19131, -28700, -38269? -47838 What comes next: 992, 985, 974, 959? 940 What comes next: -155286, -155293, -155312, -155349, -155410, -155501, -155628? -155797 What comes next: 4501140, 4501138, 4501136, 4501134, 4501132, 4501130? 4501128 What comes next: 3933, 15702, 35309, 62748, 98013, 141098, 191997, 250704? 317213 What is next in 1327, 2615, 3927, 5275, 6671, 8127, 9655, 11267? 12975 What is the next term in 23, 746, 2835, 6974, 13847, 24138, 38531, 57710? 82359 What is next in 29, 29, -9, -121, -343, -711? -1261 What is next in -1315, -2635, -3951, -5263, -6571, -7875? -9175 What is next in -839, -828, -781, -674, -483, -184, 247, 834? 1601 What comes next: 670, 1366, 2078, 2812, 3574, 4370, 5206? 6088 What is the next term in -34, -43, -26, 17, 86, 181? 302 What is the next term in -194, -379, -562, -743, -922, -1099? -1274 What comes next: -171907, -343819, -515731, -687643, -859555? -1031467 What comes next: -2429, -2467, -2531, -2621, -2737, -2879? -3047 What is next in 2305757, 2305755, 2305753? 2305751 What comes next: 323, 688, 1051, 1412? 1771 What is next in 839, 1345, 1851, 2357? 2863 What comes next: 926, 3770, 8510, 15146, 23678, 34106? 46430 What comes next: -176, -266, -390, -554, -764, -1026, -1346, -1730? -2184 What comes next: 7231, 13985, 20739? 27493 What is the next term in 1657, 1648, 1637, 1624, 1609? 1592 What is next in 1264, 1337, 1410, 1483, 1556? 1629 What is the next term in 209, 275, 341? 407 What is the next term in -16387, -33036, -49685, -66334? -82983 What is next in 91, 236, 487, 898, 1523, 2416, 3631, 5222? 7243 What is the next term in -37125, -37132, -37145, -37164, -37189, -37220? -37257 What comes next: 34, 53, 70, 85? 98 What is the next term in 411, 422, 445, 486, 551? 646 What is next in -188527, -188528, -188529? -188530 What is the next term in 15935, 15947, 15945, 15923, 15875? 15795 What is the next term in -889, -7084, -23891, -56614, -110557? -191024 What is next in 32569, 65131, 97689, 130243, 162793? 195339 What comes next: -71, 55, 231, 481, 829, 1299, 1915, 2701? 3681 What comes next: 37, 175, 399, 709, 1105, 1587? 2155 What is the next term in 13, 143, 507, 1225, 2417, 4203, 6703? 10037 What is next in 1715, 1205, -179, -2875, -7321, -13955? -23215 What comes next: 3455, 6909, 10341, 13739, 17091? 20385 What is the next term in -438, -748, -1058, -1368? -1678 What is next in 117, 215, 295, 351, 377, 367? 315 What is the next term in 39066, 78128, 117190, 156252, 195314, 234376? 273438 What is next in 46, 105, 164, 223, 282, 341? 400 What is the next term in -67, -124, -171, -214, -259? -312 What comes next: 313, 327, 295, 211, 69, -137, -413, -765? -1199 What is next in 1360, 1201, 1024, 829? 616 What is the next term in -1138, -1146, -1154, -1162, -1170, -1178? -1186 What is the next term in -596076, -1192154, -1788232, -2384310, -2980388? -3576466 What is next in -9332716, -9332715, -9332714, -9332713, -9332712? -9332711 What is next in -108283, -108284, -108285, -108286? -108287 What is the next term in 6939, 6922, 6891, 6846, 6787, 6714? 6627 What is next in -642818, -642819, -642820, -642821, -642822? -642823 What is next in -37164, -74179, -111180, -148161, -185116, -222039, -258924? -295765 What is next in -1985, -2021, -2047, -2057, -2045, -2005, -1931? -1817 What comes next: 67, 243, 535, 943? 1467 What is next in -10532, -10527, -10518, -10505? -10488 What is the next term in 105, 157, 181, 183, 169, 145? 117 What comes next: -29737, -59473, -89207, -118939? -148669 What is the next term in 129, 706, 2269, 5310, 10321, 17794, 28221, 42094? 59905 What is next in 918, 874, 828, 780? 730 What comes next: -9689, -9705, -9721? -9737 What comes next: -254, -259, -266, -275, -286, -299, -314? -331 What is next in 20014, 40029, 60044, 80059, 100074, 120089? 140104 What is the next term in -279, -1149, -2599, -4629? -7239 What is the next term in -64377, -64378, -64379, -64380, -64381, -64382? -64383 What is next in 92, 84, 72, 56, 36? 12 What is next in -44211, -88423, -132635, -176847, -221059? -265271 What comes next: -957, -947, -937, -927, -917? -907 What is the next term in -11109, -11107, -11105, -11103? -11101 What is next in 1924391, 1924392, 1924393? 1924394 What is next in 379, -136, -987, -2168, -3673, -5496, -7631, -10072? -12813 What is next in 463, 603, 969, 1675, 2835? 4563 What comes next: 53, 248, 789, 1850, 3605, 6228? 9893 What is the next term in 63, 440, 805, 1152, 1475? 1768 What comes next: 1194, 2374, 3558, 4740, 5914, 7074, 8214? 9328 What is the next term in 60962, 60964, 60954, 60926, 60874, 60792, 60674? 60514 What comes next: -455, -1826, -4109, -7304, -11411? -16430 What comes next: -165688, -331364, -497040, -662716, -828392, -994068? -1159744 What is the next term in 36607, 36609, 36611, 36613, 36615? 36617 What is the next term in 3223, 3382, 3647, 4018? 4495 What comes next: -3726, -14967, -33712, -59955, -93690, -134911, -183612, -239787? -303430 What comes next: 221, -303, -1187, -2437, -4059? -6059 What is next in -646, -2170, -4572, -7852, -12010, -17046, -22960? -29752 What is next in 13, 8, -7, -38, -91, -172, -287, -442? -643 What comes next: 1268, 1259, 1234, 1187, 1112, 1003? 854 What comes next: 3625, 3583, 3515, 3421, 3301? 3155 What is next in -6724047, -6724048, -6724049? -6724050 What comes next: 20587, 82367, 185333, 329485, 514823, 741347, 1009057? 1317953 What comes next: 426, 622, 848, 1116, 1438? 1826 What is the next term in 25507, 25471, 25435, 25399, 25363, 25327? 25291 What is the next term in -2183, -2042, -1901, -1760, -1619? -1478 What is the next term in 441, 998, 1559, 2124, 2693? 3266 What is the next term in -5955, -11903, -17851, -23799? -29747 What is the next term in -3920, -3913, -3900, -3881, -3856, -3825? -3788 What comes next: -12466, -49912, -112336, -199738, -312118, -449476, -611812? -799126 What is the next term in -152, -175, -194, -209, -220, -227? -230 What comes next: -21589, -43147, -64707, -86269, -107833, -129399, -150967? -172537 What comes next: -16314, -16301, -16278, -16239, -16178, -16089, -15966? -15803 What comes next: 662, 1207, 1752, 2297, 2842? 3387 What comes next: 602, 2397, 5390, 9581, 14970? 21557 What is the next term in 439, 1898, 4383, 7894, 12431, 17994, 24583? 32198 What is the next term in 2122, 2120, 2118? 2116 What is next in 329, 1347, 3053, 5447, 8529, 12299? 16757 What is the next term in 1484, 5947, 13382, 23789? 37168 What is the next term in -1117, -1133, -1185, -1291, -1469? -1737 What comes next: -89, -152, -183, -182, -149, -84, 13? 142 What is next in 11, 54, 183, 446, 891? 1566 What is the next term in -44085, -176365, -396833, -705489, -1102333, -1587365, -2160585? -2821993 What is next in 23, -127, -383, -751, -1237, -1847, -2587, -3463? -4481 What comes next: -3651, -14562, -32727, -58146, -90819? -130746 What is next in 2108, 16880, 56982, 135080, 263840, 455928, 724010? 1080752 What is next in -192409, -384812, -577215, -769618, -962021, -1154424? -1346827 What comes next: 17272, 17300, 17346, 17410, 17492, 17592? 17710 What is the next term in -215, -364, -513, -662? -811 What is next in 875, 3645, 8421, 15335, 24519, 36105, 50225
{ "pile_set_name": "DM Mathematics" }
e closest to 0.2? (a) g (b) -2/13 (c) -3 a Let n = -0.308 - -0.608. Which is the nearest to 2? (a) n (b) 2/3 (c) 3 (d) -0.5 c Let g = 169.7 - 170.7. Which is the nearest to -3? (a) g (b) -0.1 (c) 2 (d) 16 a Let v be (((-72)/(-60))/(-6))/(4/10). What is the closest to 1/4 in v, -0.018, -0.02? -0.018 Let g = 7.002 - -0.098. Let d = -7 + g. Let r = 0.23 + -0.63. Which is the nearest to d? (a) r (b) -0.3 (c) -1 b Let n = 863 - 863.2. Which is the closest to n? (a) 0.1 (b) -15 (c) -3/2 a Let m = 2215.12 + -2215. Which is the nearest to -1? (a) 5/4 (b) m (c) 3 (d) 4/3 b Let x = -22.2 + 20. Let p = x - -2. Let o = 690 + -687. Which is the closest to 1? (a) p (b) o (c) 0 c Suppose -3*u + 4 = 3*k - 5, 4*k - 2*u = 42. Let i be 11/4 - ((-186)/(-24) - k). Which is the nearest to 1? (a) 4 (b) 12 (c) i c Let t be (-6)/45 + 22/165. Which is the nearest to 2/7? (a) -13 (b) t (c) -1/12 b Let o be (-12)/45 - 8/(-12). Let d be 3*(-20)/750 + (-29)/(-50). Which is the nearest to 6/7? (a) d (b) o (c) -0.2 a Let t(d) = -d**3 - 20*d**2 + 22*d + 1. Let u be t(-21). Let q be (u/18 - -1)/(-4 + 3). Which is the closest to -1? (a) 25 (b) q (c) -0.4 c Let a be 3/((-27)/6 - -6). What is the closest to a in -5, -2, -0.3, -31? -0.3 Let q be (51/(-198))/((-3)/12). Let i = q + -4/11. Let n be (-4)/9*(-2)/4. What is the closest to -0.2 in i, n, 4/3? n Let u = 0.546 - -0.454. Which is the nearest to u? (a) -1 (b) -5 (c) -0.08 (d) 0.2 d Let f = -150 + 151. Which is the nearest to f? (a) 0.05 (b) 1/6 (c) -1/4 b Let t = -1.55 + 1.8. Let o = t + -0.55. Let i = 13 - 13.1. Which is the nearest to i? (a) 5 (b) o (c) 0 c Let y = -163 + 1139/7. Let p = 3 + -2.7. Let r = p + -0.3. Which is the closest to r? (a) y (b) 2/9 (c) -5 b Let w = 0.052 - -0.318. Let s = w + -1.37. What is the nearest to 1 in -5, s, 0.4? 0.4 Let z = -4513/13 - -347. What is the closest to -0.4 in z, 3/5, 0.4, -0.2? -0.2 Let n = -7.57 - -10.57. Which is the closest to 2/5? (a) n (b) -2 (c) -8.5 b Let r = -1508 - -1504. What is the nearest to -4 in -2/9, 3/5, r, 1/8? r Let x = 151 - 151.01. What is the nearest to -0.2 in 0.2, 0, x? x Let u be 2/6 + 5/(-33). Let x = 41 + -22. Let h = x - 21. What is the closest to h in 0, u, -2/15? -2/15 Let q = 35.1 - 10.1. Which is the closest to q? (a) -2 (b) -5 (c) 2 c Let w = 2 + -1.8. Let x = -67.4 - -9.4. Let n = x - -55. What is the closest to w in 3/2, 5, n? 3/2 Let h be ((-3)/6)/(2/(-24)). Let y be (h/(-15))/(22/10). What is the nearest to -0.1 in 5, y, -5? y Let s = -8.25 - -59.35. Let g = 51 - s. What is the closest to -1 in g, -1/4, -6/35? -1/4 Let s = 9207/1314520 + -1/4456. Let t = s - -572/2655. Let m = -70 + 67. Which is the closest to t? (a) -1 (b) 5/4 (c) m b Let n = -0.11 - 0.59. Let y = -0.05084 - 0.14916. What is the closest to n in -0.1, 1, y? y Let u(y) = y**3 - 9*y**2 - 11*y + 6. Let z be u(10). Let j = -232/177 - 4/177. What is the nearest to j in z, 4, -0.4? -0.4 Let f = -81 - -81.26. Let y = -0.36 + f. Let n = -6 + 10. What is the closest to y in n, -3, 0.4? 0.4 Let g = -312 + 555. Let f = 2671/11 - g. Which is the nearest to -2? (a) -3/2 (b) f (c) 2 a Let h = 9.7 + -9.74. Let q = 1.04 + h. Which is the nearest to q? (a) -5 (b) 0.5 (c) -4 b Let j = -0.38 + 0.38. Which is the closest to -13? (a) j (b) 0.4 (c) 1/3 a Let o = -5.16 + 0.16. Let c = 120 + -113.9. Let p = c + -6. What is the nearest to p in -0.4, o, -1? -0.4 Let c = -258.14 - -258. What is the nearest to 1 in 4, c, 0.1? 0.1 Let u = -6668 + 6667. Let n = -0.1 + 0.1. What is the nearest to u in n, 2, -3? n Let l be 92/(-36) + (-4)/9. What is the closest to 1/4 in 0.5, 11, l, 2? 0.5 Let o be (8/16)/(178/(-8)). Which is the closest to o? (a) -1/5 (b) -5 (c) -0.3 a Let b = -383.03 - -383. What is the nearest to -0.1 in 0.2, b, 4? b Let b = 114.1 - 122. Let m = -8.4 - b. What is the closest to -2/9 in m, 4, 1/6? m Let x = 3 + -3.3. Suppose -3*q - 5*w = 32, -9*q + 2*w - 8 = -5*q. Which is the closest to 1? (a) q (b) x (c) -3 b Let n = -2.1 - -2. Let r = -337 - -335. Let l = 0 + 1. Which is the nearest to r? (a) n (b) -0.2 (c) l b Let i = -18 - -19. Suppose -2*g = g. What is the closest to g in 2/15, i, -3? 2/15 Let l = -134 + 134. Which is the closest to l? (a) -6 (b) -1/6 (c) 0.2 b Let k = -1287/40 + 251/8. What is the closest to 1 in -1/3, -0.5, -1, k? -1/3 Let m = -129.5 - -130. Let n(u) = u**3 + 2*u**2 - 2*u + 1. Let z be n(1). Which is the nearest to z? (a) -0.2 (b) 0.4 (c) m c Let k = -44 + 54. Let h = 9.9 - k. Which is the closest to h? (a) 0.5 (b) 0.4 (c) 0 c Let m = -38039/52460 - -152/305. Let k = -1/43 + m. Which is the nearest to -1? (a) 2/3 (b) k (c) 0.2 b Let z = 0.6 - 0.2. Let n = -8 + 5. Let i be (-8)/16*2/n. What is the closest to i in z, 0, 5? z Let j = 22 - 21.6. Let q = -0.2 + -0.2. Suppose 2 = -3*t + 5*t. What is the nearest to -1/2 in t, j, q? q Let q = 558 + -557.84. What is the closest to -0.1 in -1/10, q, -2/5? -1/10 Let z = -2/973 + 558/973. Let r(n) = n**2 - 11*n - 4. Let y be r(11). Let k = 3 + y. What is the nearest to 1/4 in z, k, 2/11? 2/11 Let k = 0.5 + -0.4. Let d = -25.6 + 0.6. Let t = d - -23. Which is the closest to t? (a) k (b) -1 (c) -0.4 b Let q = -0.745 + 0.87. Let z = q + 4.875. Which is the nearest to -0.06? (a) z (b) 2 (c) 2/13 c Let j = 1504 - 25570/17. Which is the nearest to -1.7? (a) 2/19 (b) 0.1 (c) j (d) -1/3 d Let q = -0.23 - -1.13. Let d = -0.4 + q. Let v = -271/2 + 136. What is the closest to v in -1/4, d, -1? d Let s be 2 + 4/(-6)*(-18)/(-4). Let r be (-16)/(-15) + 2/(-5). Which is the closest to s? (a) r (b) -5 (c) 2 a Let z = -119 - -118.6. Let t = -5.4 - -5.5. Which is the nearest to t? (a) z (b) -4 (c) 2 a Let y = -655.5 + 655. Let d = 0.1 - 0.1. Let i = d - 2. Which is the closest to 2/3? (a) 5 (b) i (c) y c Let u be ((-12)/(-18))/(2/(-3)). Let n(i) = -2*i**3 - 12*i**2 + i + 11. Let p be n(-6). Let j = -20.4 + 20. What is the nearest to u in j, 1/5, p? j Let s(z) = 9*z + 29. Let h be s(-6). Let f = 25 + h. Which is the closest to 0? (a) 0.2 (b) f (c) -2 b Let m = 143 + -142.2. Which is the closest to m? (a) -1/8 (b) 3 (c) -2 (d) 2 a Let o be 0/2 + 17/(-34). What is the nearest to 0.1 in o, 7, -1? o Let k = -2.74 + -0.26. Let y = -1.7 - -2.7. Which is the nearest to y? (a) 0.3 (b) k (c) -5/4 a Let y = 45.87 + -45. Let l = y + -0.97. What is the nearest to l in -1, 5, 0.2? 0.2 Let k(d) = -d + 11. Let v be k(12). Let j be (-15)/(-45) - (0 + 0). What is the closest to 0 in v, j, -2? j Let f = -3 + 4. Let v = -2/35 + -23/210. Let k = -26 + 29. What is the closest to 1 in k, f, v? f Let g = 36.004 + -0.004. Let z = g - 37. Suppose 7 - 47 = 5*s. What is the nearest to z in 0.4, -5, s? 0.4 Let t = -349 + 344. Suppose -5*j = -0*j + 20. Which is the closest to -1/3? (a) t (b) j (c) 0.3 c Let i = -1322 + 1322.2. Let d be -5*(8/10)/(-2). Which is the closest to -2/5? (a) i (b) d (c) -5 a Let i = -0.02 + -0.08. Let s = -42 + 52.6. Let r = 11 - s. What is the nearest to 0 in r, i, 0.5? i Let k = 24.77 - 25. Let r = 0.13 + k. Which is the nearest to -1/4? (a) 3/2 (b) r (c) -1/2 b Let p = -13.4 + -24.6. What is the nearest to -2 in -0.2, 0.4, p? -0.2 Let v = 181 + -181.5. Let s = 4 - 6. Let h = 2.1 + s. Which is the closest to h? (a) 0 (b) v (c) 3 a Suppose 3*z + 12 = 0, 0 = -3*s + 5*z + 88 + 37. Let r be 2/4*(-14)/s. Let d = 13/40 + r. Which is the nearest to 1? (a) -4 (b) d (c) 0.1 b Let z = 572 + -575. What is the nearest to 0.9 in z, 1, -5, -1? 1 Let z = 378 + -387. Which is the closest to 3? (a) -1/2 (b) z (c) -3 a Let g be 28/36 + 6/27. Let d be (-38)/10 + 4*g. Let n(x) = -x**3 + 5*x**2 + 3. Let t be n(5). Which is the nearest to t? (a) -2/5 (b) d (c) -2/17 b Let j = -0.0532 + 2.0532. Let a = 1.8 + -2.2. What is the closest to -18 in a, 1/5, j? a Let j = 11188 - 11186. Let u be 2/((-1)/((-14)/4)). Which is the closest to -2/11? (a) j (b) 0 (c) u b Suppose 2*n - 2*t + 3 = -5, -15 = 4*n - 5*t. Which is the closest to -1? (a) -0.2 (b) 3/2 (c) 0.1 (d) n a Let v be (-2)/8 - 1/12. Suppose -4*y + 2*k = -0 + 4, 0 = y + 2*k - 4. Let j = -13 - -13.4. Which is the closest to y? (a) 3 (b) j (c) v c Let v = 5.9 - 6. Let
{ "pile_set_name": "DM Mathematics" }
*l + l)*(-5 + 4 + 7))*(13 + 3 - 3)*(-2*l + l - 2*l) + l**2 + 2*l**2 - 2*l**2. 352*l**2 Expand (-3 - q + 3 + (-5*q + 3*q + 3*q)*(0 + 0 + 2))*(0 + 0 - q)*((0 + 0 + 1)*(115*q + 1061 - 1061) - 2*q + 2 - 2). -113*q**3 Expand (12*r + 11*r + 4*r - 4*r)*(3*r**4 + 6*r**4 - 8*r**4) + (r**4 + 4*r**4 - 3*r**4)*(-2*r - r + 5*r). 27*r**5 Expand (0 + 0 + 3)*(-1039 + 4*n**2 + 13*n + 1056 - 2*n). 12*n**2 + 33*n + 51 Expand -6*u**3 + 6*u**3 - 3*u**3 + (6*u - 3*u - 2*u)*(-25*u + 20*u - 26*u)*(2*u + u - u). -65*u**3 Expand ((0 + 0 - o)*(2*o**2 + o**2 - o**2) + (-12625*o + 12625*o + 201*o**2)*(-4 + 4 - o))*(-o + 0*o + 0*o)*(0*o + 3*o - 5*o). -406*o**5 Expand (-274 + 274 - 22*y)*(y**3 + y**3 + 0*y**3) + 11*y**4 + y**4 + 5*y**4. -27*y**4 Expand (0 + 0 - 4)*(-1 + 1 + s) + (-263 - s + 263)*(1 - 99 + 0). 94*s Expand 4 - v - 4 + (0*v + 4*v - 6*v)*(1 + 4 - 4) - 4562 + 4561 - 27*v - 100*v + 5*v + 0*v + 0*v. -125*v - 1 Expand (r**2 - 3*r**2 - 3*r**2 + 3*r - 3*r - r**2 + (-2*r**2 - 2 + 2)*(1 - 5 + 3))*(161 - 47*r**2 - 8*r**2 - 161). 220*r**4 Expand (-20 + 1 - 24)*(1 - 1 - 1)*(1 - 1 + 2)*(4*b + b + b + b - b - 2*b + (-b + b - b)*(-1 - 2 + 4) - b + b + 2*b - 2*b + 3*b + b)*(b**4 - b**4 + b**4). 602*b**5 Expand (-7*s**3 - 56*s**2 - 1 - s**4 + 56*s**2)*(-171*s + 13734 - 13734). 171*s**5 + 1197*s**4 + 171*s Expand (1468*d**2 + 1099*d**2 - 1076*d**2)*(1 + 3*d**2 - 1) + (-2*d**2 + 2*d**2 - d**2)*(3*d**2 + 2*d**2 - 6*d**2). 4474*d**4 Expand m + 75 - 75 + (-105 - 116 + 314)*(0 + 2 - 1)*(4*m + 3*m - 2*m). 466*m Expand 2 - 2 + 3*a**4 + (330*a**2 + 111915 - 111915)*(2*a - 2*a + a**2) + (-3*a + 4*a - 2*a)*(-4*a**3 + 3*a**3 - a**3). 335*a**4 Expand -a**2 - 2*a**2 + 4*a**2 + (-18*a - 26*a + 205*a)*(-1 - 4*a + 1). -643*a**2 Expand (16*k**2 - 12*k**2 + 31*k**2)*(2 + 4 - 4)*(-k + 1 - 1)*(260*k + 12*k + 28*k). -21000*k**4 Expand (-39 + 13 - 9)*(-15 + 2 - 6)*(s + 0*s - 2*s + (2 + 3 - 3)*(2*s + 1 - 1)). 1995*s Expand (-11 + 73281*l - 55 + 76 - 10)*(2*l**3 + l**3 - l**3). 146562*l**4 Expand -191*b - 190*b - 11*b**2 + 380*b + (4*b + 22 - 22)*(-3*b + 5*b + b). b**2 - b Expand (w - w + w**2)*(-16 + 16 - 12*w) + (4*w**2 + 3*w**2 - 6*w**2)*(-2 + 2 - w) - w**3 - 3*w**2 + 3*w**2 - 8*w**3 + 5*w**3 - 5*w**3. -22*w**3 Expand (-7*y**2 - 14*y**2 + y**2)*(2*y - 13*y - 7*y)*(-3*y**2 - y**2 + 6*y**2 + 5*y). 720*y**5 + 1800*y**4 Expand (-2*b + 2*b + b)*(-260*b**4 - 4*b**2 + 4*b**2 + 278*b**4). 18*b**5 Expand (8*o - 17*o - 2*o)*(0*o**2 - 3*o**2 + o**2)*(462 - 83*o - 462). -1826*o**4 Expand ((3 + 2*n - 3)*(0 + 1 - 3) + 159*n + 222*n - 98*n)*(-1 + 0*n + n + 3)*(0*n + n + 3*n). 1116*n**3 + 2232*n**2 Expand (1739 - 651 + 289)*(-o**3 - 2*o**2 + 2*o**2 + (4*o**2 - 3*o**2 + o**2)*(2*o - 3*o + 0*o)). -4131*o**3 Expand (-u - 78*u - 26*u)*(34 - 20 - 37) - 2 + u + 0 + 4 + (3*u - 3*u - u)*(-1 + 1 - 2). 2418*u + 2 Expand (-27*l + 27*l + 11*l**3)*(-2828*l + 5651*l - 2825*l - 722). -22*l**4 - 7942*l**3 Expand (-2 + 3*l + 2)*(-2 + 167*l - 132*l - 3)*(0 + 0 - 2*l). -210*l**3 + 30*l**2 Expand (331 + 138 + 24)*(-6 + 2 + 3*g + 5). 1479*g + 493 Expand -7090*v - 61 - 7081*v - 2*v**3 + 14182*v + (-2 + 2 + 2*v)*(-v**2 - 3*v**2 + 3*v**2). -4*v**3 + 11*v - 61 Expand 13*j - 3*j + 0*j + 2*j + j - 7*j + 2 - 2 + j + (4 + 2*j - 4)*(-1 + 1 - 2) + (-j - 3*j + 6*j)*(-3 + 0 + 1) + 3 - j - 3 - 4*j + 4*j - j. -3*j Expand (j + 3*j + 5 - 6*j)*(3 - 1 - 5)*(5*j - 4*j + 0*j). 6*j**2 - 15*j Expand (33 + 1 - 13 - 3 + 3 - 1 + (-1 + 3 + 0)*(-2 - 1 + 6))*(2*v - v - 2*v)*(v - 3*v + 3*v). -26*v**2 Expand (-3 - 1 - 1)*((-5*d + 2*d + d)*(3*d + 4 - 4) - 27 + 46*d**2 + 27). -200*d**2 Expand 0*y**2 + 2*y**2 + 3*y**2 + (-368 + 11*y**2 + 10*y**2 + 369)*(3 - 1 - 3). -16*y**2 - 1 Expand (6 - 4 + 1)*(-2*y + 0*y + 6 + 0*y)*(y - y + 3*y). -18*y**2 + 54*y Expand -z - z + 0*z + (-8*z - 2*z + 3*z)*(-4 - 51 + 145). -632*z Expand (-21*o - 5 + 1 + 23*o)*(-3*o + 10*o**2 - 9*o**2 + 357*o + 2). 2*o**3 + 704*o**2 - 1412*o - 8 Expand (0 + 0 - 5*x)*(-1537 + 1537 + 13*x)*(-5 + 6 + 7). -520*x**2 Expand (-18 + 52 + 26)*(-1 - 3 - 6)*(-2 + 1 - 1)*(-1 + 2 + 1)*(2 - l - 2). -2400*l Expand 42 - 16 - 11 - 48*w - 15 + (6 - 2 - 12)*(4*w - 3*w - 3*w). -32*w Expand (-2*y**2 - 28 + 3*y**2 + 19)*(2 + 0 - 5)*(1 - 4 + 0)*(-4 - 9 + 2). -99*y**2 + 891 Expand -3 + 0*t - t - t + (-2 + 27 + 6)*(32*t - 13*t - 3 + 5). 587*t + 59 Expand (z - 2*z + 2*z)*(-z - 2*z + z + (0*z + 2*z - z)*(2 - 1 - 4) + 0*z - 4*z - 3*z) + 12*z**2 + 4*z**2 + 0*z**2. 4*z**2 Expand 5*i**5 - 6*i**5 - 6*i**5 + (-11*i**4 - 13*i**4 + 16*i**4)*(2 + 0 + 0)*(15*i - 7*i + 25*i). -535*i**5 Expand 376*t**4 - 347*t**2 + 347*t**2 + (0*t - 2*t + 0*t)*(-8*t**3 - t**3 - 14*t**3). 422*t**4 Expand 9 + 3 + 10*k - 10 + (43 - 86 + 39)*(0 + 0 - 4*k) + 1 + k - 1. 27*k + 2 Expand (-3 + 5 - 3)*(0 + 5 + 3)*(-90*t + 193 + 89*t - 885). 8*t + 5536 Expand -19*q**4 + 8*q**4 - 17 + q**2 + 10*q**4 + (4*q**3 - 4*q**3 + q**3)*(q - 7*q + q) + (-3*q**4 + 3*q**4 + q**4)*(4 - 4 + 3) + 0*q**4 + 0*q**4 - 2*q**4. -5*q**4 + q**2 - 17 Expand -22*n + 40*n - 13*n + (-3*n + 3*n - n)*(-24 - 30 - 9)*(2 - 4 + 4). 131*n Expand (-1 - 3 - 4)*(-5*h - 3*h + 4*h) + (-3 - 1 + 2)*(0*h + h + h - 13). 28*h + 26 Expand (2*s - 1 + 1)*(2 + 1 - 4)*(7 + 3 - 2) + (-2 - 3 + 6)*(-2*s + 3*s + s) + 0*s + 2*s - 3*s - 10*s + 5*s + 10*s + 3*s - 3 + 1 - 5*s. -12*s - 2 Expand (0*b + 4*b - 2*b)*(-b**2 - 2*b**2 + 2*b**2) - 1140*b**3 + 8 + 2*b**2 + 1101*b**3 - 8*b - 4. -41*b**3 + 2*b**2 - 8*b + 4 Expand -b**2 + 5*b**2 - 5*b**2 + (-2 + 2*b + 2)*(6 + 5*b - 6)*(-673 + 307 + 109). -2571*b**2 Expand (1 - 1 - t)*(2 - 4 + 0) + 6*t - 3 + 3 + (-65 - 35 - 18)*(4 + t - 4) + (5 - 1 - 2)*(-t - 3*t + t). -116*t Expand (-6210*g - 5895*g - 4 + 3816*g + 4)*(-9*g + 9*g + 3*g**3). -24867*g**4 Expand -3*r + 93 - 6*r - 91 - 2*r**2 + (-1 - 2*r + 1)*(2*r + 0 + 0) - 2*r**2 + r**2 + 0*r**2 + 0 + 0 - r**2 - 2*r**2 - r + r + (r + 0*r + r)*(2*r - 17*r + 5*r). -30*r**2 - 9*r + 2 Expand (-1 + 2*n + 1)*(-1303 + 1122 + 1408). 2454*n Expand (315 + 638 - 491 - 2 + 2 + 2 + (-1 + 3 - 3)*(0 + 0 - 2))*(2*l**4 + 0*l**4 - l**4). 466*l**4 Expand (15324 - 203*t - 15324)*(3*t - 3 + 3)*(-1 + 2*t + 1)*(t + 4*t - 4*t). -1218*t**4 Expand (2*g**4 - 2*g**4 - 5*g**4)*(-1 + 9 - 2) + g**4 + g**4 + 5*g**4. -23*g**4 Expand (-13*f + 16*f + 4*f)*(-6*f + f - 14*f)*(-25 + 25 + 6*f). -798*f**3 Expand (17*l + 12 + 44*l - 41*l)*(14*l**2 + l**2 + 2*l - 31*l**2). -320*l**3 - 152*l**2 + 24*l Expand (11 - 6 + 7)*(-32*a**2 + 21 - 94 + 30*a**2). -24*a**2 - 876 Expand (-59131 + 132906 - 62151)*(3*y + 2*y - 3*y). 23248*y Expand (-n + n + 2*n)*(-59631 + 25925 + 24209). -18994*n Expand (13 + 1 - 3)*(2*h + 3330 - 3323 - 11*h). -99*h + 77 Expand (-4*o + 4*o + 14*o)*(-1 + 2 + 3 + (0 + 1 + 1)*(0 + 0 + 1) + 3 + 0 - 5 - 5 + 1 + 5 + 0 - 3 + 5)*(-12*o + 2*o + 4*o)*(2 - o - 2). 588*o**3 Expand 4 - 2*j**4 + 2*j**3 + 3*j**2 - 4 - 2*j**4 + 0*j**4 + j**4 + (-j**3 + 3*j**3 + 0*j**3)*(-150*j + 312*j - 155*j). 11*j**4 + 2*j**3 + 3*j**2 Expand (26 + 31 + 67)*(2 - 2 + s) - 37*s + 13*s + 20*s - 8. 120*s - 8 Expand (0*l**3 - 2*l**3 + l**3)*(l**2 - 3*l**2 - l**2) - 108*l**5 + 390*l**5 - 159*l**5 + 2*l**2. 126*l**5 + 2*l**2 Expand (-5*p + 3*p + p)*(2 + 2 - 3) + 5*p + 9*p - 3*p + 1 - 1 + p + (40 + 15 - 11)*(-3*p + p + 3*p). 55*p Expand (-2*d + d + 0*d)*(699*d**3 + 4389*d**2 + 4380*d**2 - 8769*d**2 + 12039*d**3). -12738*d**4 Expand (-1 + 0 - 2)*(2*n - n + 0*n)*(50 - 6 - 8 - n) + n**2 + n**2 + 2*n**2. 7*n**2 - 108*n Expand (0 + 1 - 2)*(-17 - 9*i + 17)*(-515*i**3 - 1033*i**2 + 1033*i**2) + i**2 - i**2 + 2*i**4. -4633*i**4 Expand (-1 + 109*d - 114*d + 0)*(5*d - 8*d + 35*d) + 2*d**2 - 2*d**2 + 3*d**2. -157*d**2 - 32*d Expand (4 - 3 + 1)*(v - 4*v + v) + 1 - 1 - v + 5*v + 3 - 2*v - 13 - 167*v + 33*v - 109*v. -245*v - 10 Expand (-2*s**3 + 2*s**3 + 2*s**3)*(1035 + 1174 - 2952). -1486*s**3 Expand ((-2*f**3 - 2*f**4 + 2*f**3)*(0 + 1 + 1) - 3*f**4 + 3*f**4 - 2*f**4)*(-1631 + 138 - 1219). 16272*f**4 Expand (7 + 9 - 2)*(-7*p + 2*p - 6*p)*(1 + 3 - 6). 308*p Expand ((3 - 1 + 1)*(0 - 2*l + 0) + 8*l - 30*l - 12*l)*(-3*l**3 + l**3 + 0*l**3) - 6*l**4 + 0*l**4 - 4*l**4. 70*l**4 Expand (-9*n + 20 - 87 + 11*n)*(6 + 0 - 4). 4*n - 134 Expand (9 - 7 - 3)*(0 + 0 + 2*j)*(1 - 38 + 0)*(j + 6*j + 3 - 3*j). 296*j**2 + 222*j Expand (0*m**2 - 4*m**2 + m**2)*(-486 - 59 - 68)*(-3 - m**2 + 3). -1839*m**4 Expand -3079*m**3 - 29*m + 2
{ "pile_set_name": "DM Mathematics" }
in ascending order. c, 0.1, 5 Let t = 303 - 305. Put t, -6, -0.1 in ascending order. -6, t, -0.1 Let o = -274 + 275. Let u = -0.22 + 0.02. Sort -0.3, o, u, -3 in increasing order. -3, -0.3, u, o Suppose 5 = 3*q + u, -3*u - 8 = 4. Suppose -q = 2*t + 3*m, m + 0 = -t - 1. Sort t, -5, -1 in descending order. t, -1, -5 Let w = -1833 - -1811. Sort -9/4, w, -2 in decreasing order. -2, -9/4, w Let t = 499 - 505. Put 1, -4, t in decreasing order. 1, -4, t Let p = 8.74 - 8.74. Sort -1/20, -0.5, p. -0.5, -1/20, p Suppose -15967*s + 33 = -15978*s. Let n = 7 + -2. Let b = 9 + -10. Put s, n, b in increasing order. s, b, n Let p = -191 + 192. Suppose 0 = 4*g - g - 21. Put p, g, -1 in decreasing order. g, p, -1 Let m = 257.2969 + 0.6031. Let i = m + -258. Let c = -3.8 - -3. Sort i, 0.1, c. c, i, 0.1 Let z = -46 - -42.7. Let s = z + -0.7. Let h = -153 - -153.1. Put 0.3, s, h in decreasing order. 0.3, h, s Let c be (10/(-20))/(-1*(-3)/(-24)). Sort c, -5, 50, 3 in decreasing order. 50, c, 3, -5 Let f be (-2)/(-3) - 2/(-6). Let v(s) = 2*s**3 - 2*s**2 - 25*s + 6. Let o be v(4). Sort -1, f, o in increasing order. -1, f, o Let c(v) = -v - 1. Let p(y) = y**2 + y + 5. Let h(z) = c(z) + p(z). Let s be h(-3). Put s, 1, -5 in ascending order. -5, 1, s Let a = 50 + -43. Let d be (4 - 52/14)/(3/a). Let p = 1 + -0.7. Put d, 2, p in increasing order. p, d, 2 Suppose -17 = -5*a - 4*m + 3, 20 = -4*a + 4*m. Sort a, 1, -55, -3 in descending order. 1, a, -3, -55 Let s = 33 + -30. Let v = -3.2 + s. Put -0.5, v, 4 in ascending order. -0.5, v, 4 Let x be (34/6)/(-6 + 21). Let y = -7/9 + x. Let d = 0.5408 + -0.0408. Put -0.2, y, d in decreasing order. d, -0.2, y Let b(u) = u**2 - u + 10. Let s be b(0). Let l be (0 + 1)*(-2)/s. Put l, 0.5, -1 in increasing order. -1, l, 0.5 Let r(w) = -10*w**2 + w. Let f be r(-1). Suppose 5*c + 4 = -2*v, -35*v + 30*v = -3*c + 10. Sort v, 3, -5, f in ascending order. f, -5, v, 3 Let t = -2909 - -2909.5. Let l be 5/(-2) + 2/1. Sort t, l, -2, -2/3 in descending order. t, l, -2/3, -2 Let q = 0.56 - 0.63. Put -5, 0, q in descending order. 0, q, -5 Let w = -102/5 - -311/15. Sort 3, 4, w, 5 in decreasing order. 5, 4, 3, w Let n = 318 - 319.1. Sort 3/2, 0, n. n, 0, 3/2 Suppose -441 + 396 = -15*x. Put -114, x, -0.2 in decreasing order. x, -0.2, -114 Let j be 5*(2 + 10/(-6)). Let f(m) = -m**3 - 3*m**2 + 10*m + 3. Let v = -92 - -87. Let l be f(v). Sort l, -3/8, j in decreasing order. l, j, -3/8 Let x = -0.07 - 30.93. Let r = -30.5 - x. Put 0.05, -4, r in decreasing order. r, 0.05, -4 Let x = -165.06 - -2.06. Let i = -164 - x. Let v = 3.99 - -0.01. Sort 1, v, i in ascending order. i, 1, v Let x = -63 - -63.5. Sort -3/4, -4, x, -5 in decreasing order. x, -3/4, -4, -5 Let o = -979/828 - 14/207. Sort -2.6, 1/4, -1/9, o. -2.6, o, -1/9, 1/4 Suppose -58*o + 61*o = k + 2, 18 = 3*k + 3*o. Sort 5, k, 2, -1.5. -1.5, 2, k, 5 Let s be 3987/35 + (-13)/65. Let h = 114 - s. Suppose -4*c + 3*y - 11 = -0*c, -5*c - 13 = -4*y. Sort h, c, -0.3 in ascending order. c, -0.3, h Suppose l + 2*s + 5 = 0, -4*l - 31*s = -26*s + 20. Put -4, l, 8 in decreasing order. 8, -4, l Suppose -5*c + 0*c = 0. Let v be (3 - (-135)/5)/(-1). Let q = v - -26. Sort c, q, -5 in ascending order. -5, q, c Suppose -6 = -59*f + 65*f. Sort f, -5, 0, 1 in ascending order. -5, f, 0, 1 Let y be (0 + 6 + -3)/19. Let p = y - 28/57. Suppose -3*h = t - 11, 0*t - 3*t + 12 = 2*h. Sort t, 1, p in descending order. t, 1, p Let c be 197/(-13) + (-52)/(-338). Let q = 15 + c. Let d be (-17)/5 - 4/(-10). Sort -2, d, q. d, -2, q Suppose 18*i = -94 + 4. Put 89, -1, i in descending order. 89, -1, i Suppose -2*r - 5*u + 0 = -21, -4*r - 33 = -5*u. Let d = -42 + 21. Let i = 16 + d. Sort r, i, -4 in descending order. r, -4, i Let q = -0.1 - -0.1. Let w = 52.009 - 0.009. Let u = w + -47. Put u, q, 1/3 in decreasing order. u, 1/3, q Let l = -153 - -81. Let n = -291/4 - l. Sort -0.5, -1/3, n in decreasing order. -1/3, -0.5, n Suppose 4*w - 2 + 6 = 0. Let v be (36 + -35)/(1/(-6)). Sort 0, v, w. v, w, 0 Let k = -1596 - -1613. Put k, -1, -4, -0.5 in decreasing order. k, -0.5, -1, -4 Let j = -51.1 + 46.21. Let q = 0.11 - j. Sort q, -2/3, -0.04. -2/3, -0.04, q Let b(h) = 10*h + 1. Let a be b(9). Let k(l) = -32*l + 3. Let t be k(-1). Let m be 15/t - 53/a. Put m, 1/3, -3/20 in decreasing order. 1/3, -3/20, m Let c = 122 + -125. Let s = 0 - 0. Let b = c + s. Put 0.5, 5, b in descending order. 5, 0.5, b Let k = 3 + 3. Let z(f) = -f**2 + 792*f - 3154. Let n be z(4). Sort n, 4, k, -4. -4, n, 4, k Let z = -182 + 211. Put z, 0.3, -0.2 in ascending order. -0.2, 0.3, z Let g(v) = v**3 - 4*v**2 - 9*v - 8. Let b be g(7). Put 1/2, 4, -0.2, b in ascending order. -0.2, 1/2, 4, b Let r be (0 + -3)*(-86)/129. Let m = -2 + 1. Put m, -2/7, r, 3/4 in ascending order. m, -2/7, 3/4, r Suppose 0 = -3*h - 3*m + 24, 4*h - 35 = -3*m - 2*m. Sort 3, h, -6/19. -6/19, 3, h Let t = 0.27 + 19.73. Let q = t - 37. Let j = 15 + q. Sort 5, 4/3, j in increasing order. j, 4/3, 5 Let l = -633/7 - -90. Let r = 0.97 + -0.07. Let p = -0.8 + r. Put -6/11, l, p in descending order. p, l, -6/11 Let u = -9 + 1. Let r = -3 - u. Let j = -23 + 20. Sort j, 1, r. j, 1, r Let x = -120.5 + 144. Let d = -23 + x. Sort -0.1, -0.04, -5, d in ascending order. -5, -0.1, -0.04, d Let a(w) = -2*w**2 - 4*w + 13. Let m be a(-4). Put m, 11, -2 in descending order. 11, -2, m Let v = -0.14 - -3.14. Let b = 71 + -73.92. Let n = -0.08 + b. Sort 1/8, n, v in decreasing order. v, 1/8, n Let n = -277 - -281. Sort n, 21, 2. 2, n, 21 Let b(g) = g**2 + 9*g + 4. Let m be b(-9). Suppose -m*k = 3*k. Sort -2, 4, k in descending order. 4, k, -2 Let n be (-24)/(-9)*6/4. Let x(k) = -k**2 + 5*k + 20029 - 20029. Let r be x(n). Put -2, r, 3 in decreasing order. r, 3, -2 Let k = 460 + -456. Put -13, -5, k, 1/4 in decreasing order. k, 1/4, -5, -13 Let i = -57.058 - -0.058. Let o = i - -60. Put -0.4, o, -3/2 in decreasing order. o, -0.4, -3/2 Let u(i) = -2*i**3 - i + 1. Let n be u(1). Let c be ((-3)/n)/((-6)/16). Let t be ((-8)/14)/((-5)/35). Put -5, t, c in decreasing order. t, c, -5 Let g = 2.7 + 0.3. Let v = 338 + -337. Put -2, g, v, -2/11 in descending order. g, v, -2/11, -2 Suppose -3*w + 24 = 6. Let v be ((-15)/w)/(7/14). Sort 0, v, -2 in decreasing order. 0, -2, v Let m be (48/(-10))/((-4)/(80/6)). Suppose 0 = -4*r - 0*r - m. Put 0, 4, 7, r in ascending order. r, 0, 4, 7 Let r = 208 - 208.4. Put 39, r, 5 in increasing order. r, 5, 39 Let m = 3 + 1. Let g(s) = -s**3 + 3*s**2 + 3*s - 1. Let a be g(m). Put a, 5, -4 in descending order. 5, -4, a Let a = -30 + 59/2. Let m = 1143.4 + -1143. Put m, 3/7, 4, a in ascending order. a, m, 3/7, 4 Let a be 24/6 - -2*9. Suppose a*j + 2 = 21*j. Put -3, j, -1, 1 in increasing order. -3, j, -1, 1 Let l(m) = m**2 + 5*m + 5. Let i be l(-4). Suppose -8*t - 2*t - 80 = 0. Sort -4, i, t. t, -4, i Let y = -0.23 + 0.33. Put -2, -0.055, 1/6, y in descending order. 1/6, y, -0.055, -2 Let r = 0.21 + 23.29. Let j = 23.49 + 0.51. Let w = r - j. Sort -2, -0.4, w. -2, w, -0.4 Let p be (1/(-2))/(15/3030). Put 5, 0, p in decreasing order. 5, 0, p Let p = -70 + 69.7. Sort 1, p, -2/7, -49 in descending order. 1, -2/7, p, -49 Let l = 880 + -885. Put 9, 0, l, -2 in increasing order. l, -2, 0, 9 Let v = 1720 + -1718. Sort v, -1, -366 in decreasing order. v, -1, -366 Let l = 11 - 10.99. Let t = l + -0.21. Let v = 0 - -0.2. Sort -5, t, v in decreasing order. v, t, -5 Let k be 10*9/90 + (0 - 2). Put -6, 5, k in ascending order. -6, k, 5 Let k be (0 - -1)/(102/(-26) + 4). Sort 4, 5, k in decreasing order. k, 5, 4 Let c be (-2)/(2/29) - (-3 + 1). Let j = c - -24. Sort -2/17, -2, j. j, -2, -2/17 Let x(t) = -t**2 + 3*t + 3. Let n be x(3). Let z be (-2)/(6 - -2)*0. Suppose -3*f + n + 9 = z. Put -4, f, 3 in decreasing order. f, 3, -4 Let n = -0.37 - -0.23. Let v = 0.04 + n. Sort -5, v, -2/5. -5, -2/5, v Let l = 0.2 + 1.8. Let x = 8 + -8.3. Let b = 0.0717 - -0.4283. Put b, l, x in decreasing order. l, b, x Let f = -184 - -182.95. Sort -5, 1, -1, f in increasing order. -5, f, -1, 1 Suppose -9*c = -7*c + 4*h, -4*c + 12 = 2*h. Let z = -1 - -2. Let q = z - -4. Sort -5, q, c in increasing order. -5, c, q Let u = -452/11 - -122/3. Sort -4, u, -2. -4, -2, u Let g = -105 - -111. Sort 0.05, -5, g, -0.3. -5, -0.3, 0.05, g Le
{ "pile_set_name": "DM Mathematics" }
erivative of -h**5/15 - 6*h**2. Let g(r) = -2*r**2. Calculate g(q(m)). -32*m**4 Let b(l) = 4*l. Let p(j) = 12*j. Let t(r) = -17*b(r) + 6*p(r). Let m(k) = -6*k - 4. Let u(w) = 5*w + 3. Let x(v) = -3*m(v) - 4*u(v). Calculate t(x(a)). -8*a Let k(x) = x. Let j(v) = -7768*v**2. Determine j(k(m)). -7768*m**2 Let m(n) = -n**2. Suppose -5*x - 12 = y, -2*x + 0*x = 2*y. Suppose -5*b = 5*g - 15, -8*g = -3*b - y*g + 1. Let j(k) = -k**b + 2*k**2 + 0*k**2. Give j(m(p)). p**4 Let i(q) be the third derivative of q**4/4 - 6*q**2 + 4. Let t(k) = -23*k**2. What is i(t(j))? -138*j**2 Let y(u) = u**2 + u. Let g(d) = 5*d**2 + 6*d. Let q(t) = -g(t) + 6*y(t). Let v(h) be the third derivative of h**4/24 - 5*h**2. Determine q(v(a)). a**2 Let x(q) = q**2. Let p = -43 + 63. Suppose -3*n = n - p. Let m(u) = -u**2 - n*u + 5*u. Determine x(m(k)). k**4 Let t(r) be the third derivative of -r**5/15 + 25*r**2 - 1. Let w(p) = -7*p**2. What is w(t(j))? -112*j**4 Let l(p) be the second derivative of 0*p**2 + 1/12*p**4 - 3*p + 0*p**3 + 0. Let q(k) = -5*k. What is l(q(o))? 25*o**2 Let v(h) = -2*h**2. Let g(x) = x**2 + 4*x - 3. Let b be g(-5). Let r(u) = -2 - 3 + b*u + 5. Calculate r(v(m)). -4*m**2 Let x(r) = 36 - 36 - 2*r. Let f(u) = -11*u. Determine x(f(w)). 22*w Let w = -3 - -5. Let d(v) = 4*v**w + 25*v - 25*v. Let n(a) = -a**2. Give d(n(u)). 4*u**4 Let m(s) = s**2. Let d(h) = h + 1904. Give d(m(y)). y**2 + 1904 Let y(n) = 2*n**2 - 5. Let m(h) = -3*h**2 + 8. Let a(z) = -5*m(z) - 8*y(z). Let k(c) = c**2 + 2 - 2. What is k(a(r))? r**4 Let b(c) = -6*c. Let v(z) = -256*z**2. What is v(b(d))? -9216*d**2 Let c(a) be the first derivative of -16*a**3/3 + 1. Let x(d) be the second derivative of -d**4/12 - 50*d. Calculate x(c(o)). -256*o**4 Let j(b) = 2*b**2. Let u = 179 - 177. Let q(a) be the second derivative of 3*a + 0*a**u + 0 + 1/6*a**3. Give j(q(k)). 2*k**2 Let l(u) = -893*u**2. Let p(g) = -8*g**2. Give p(l(y)). -6379592*y**4 Let d(i) = i. Let x(v) be the first derivative of v**5/60 - 8*v**3/3 + 2. Let z(a) be the third derivative of x(a). What is d(z(y))? 2*y Let n(x) = x**2. Let c(g) = -3*g**2 + 2. Let j(y) = 21*y**2 - 15. Suppose 2 = -2*t - 2. Let o be (2/t)/(2/(-4)). Let m(k) = o*j(k) + 15*c(k). Calculate n(m(s)). 9*s**4 Let n(t) = -8*t**2. Let v(x) = 215*x. Calculate v(n(w)). -1720*w**2 Let w(h) = 3*h. Let n = 1 - 3. Let y be (n/2)/(3/(-6)). Let x(k) = -2*k**2 - y - k**2 + 2. Give w(x(v)). -9*v**2 Let q(s) = s - 1. Let k(a) = -5*a**2 + 6*a - 6. Let b(z) = k(z) - 6*q(z). Let v(u) = -2*u. Determine v(b(y)). 10*y**2 Let n(x) = -x**2. Let s(k) be the first derivative of k**3/3 + 13. Determine s(n(a)). a**4 Let u(h) = -7*h. Let k(n) = -22*n. Determine k(u(d)). 154*d Suppose n = 5*n - 16. Let r(l) = 3*l + n*l - 6*l. Let y(v) be the third derivative of -v**5/30 - 3*v**2. What is r(y(x))? -2*x**2 Let s(k) = -3*k. Let c be 12 + -3 - (-3)/(-1). Let f(h) = -c*h + 4*h + h. What is s(f(g))? 3*g Let a(m) = m**2. Let b be 3*4/(-30)*-5. Let x(q) be the first derivative of 3 - 1 - 3 - 2*q**b. Determine x(a(n)). -4*n**2 Let p(h) = 2*h**2. Let c(r) = -r**3 - r**2 - 2. Suppose q - 5*q = 8. Let l be c(q). Let a(j) = -j**2 + 0*j**l + 5*j**2. What is a(p(f))? 16*f**4 Let q(w) = -27*w - 2. Let r(l) = -2*l**2. What is q(r(z))? 54*z**2 - 2 Let g(q) = 4*q**2 + 5*q - 5. Let r(t) = -t**2 - t + 1. Let j(i) = g(i) + 5*r(i). Let k(c) = 0*c + 0*c**2 - 13*c**2 + 0*c. What is k(j(l))? -13*l**4 Let d(x) = -6*x. Let v(i) = 2*i. Let c(m) = -6*d(m) - 17*v(m). Let s(f) = -7*f**2. Calculate s(c(w)). -28*w**2 Let d(p) = -8*p**2. Let f(j) = 3*j**2. Determine d(f(g)). -72*g**4 Let n(m) be the third derivative of m**6/180 + m**3/3 - 2*m**2. Let j(o) be the first derivative of n(o). Let t(u) = -2*u**2. Determine t(j(a)). -8*a**4 Let v(a) = 5*a. Let o(f) = 2 - 3 - 4*f**2 + 1. What is v(o(x))? -20*x**2 Let i(a) be the first derivative of 7*a**2/2 - 3. Let h(g) be the second derivative of g**3/6 + 7*g. Give h(i(o)). 7*o Let g(u) = 6*u**2 + 4. Let t(x) = -5*x**2 - 3. Let r(d) = -3*g(d) - 4*t(d). Let j(y) = 2*y. Give j(r(p)). 4*p**2 Let a(q) = 2*q**2 + 0*q**2 + 14*q**2. Let k(h) = -2*h. Calculate a(k(g)). 64*g**2 Let u(h) = -h**2. Let w(m) = 99*m - 180. Calculate u(w(a)). -9801*a**2 + 35640*a - 32400 Let j(y) be the third derivative of -y**4/6 + 22*y**2. Let i(p) = -9*p. Determine j(i(t)). 36*t Let z(m) = -2*m**2 - 43*m. Let i(r) = -28*r**2. Determine z(i(w)). -1568*w**4 + 1204*w**2 Let l(m) = m. Let v(p) = -349*p. Calculate l(v(u)). -349*u Let n(f) = -3 + 3 - f. Let g(t) be the first derivative of t**5/60 - t**2 - 1. Let m(c) be the second derivative of g(c). Calculate m(n(q)). q**2 Let d(h) = 4*h - 12. Let a(l) = -l + 2. Let w(z) = -6*a(z) - d(z). Let g(o) = -35*o. Determine w(g(t)). -70*t Let b(n) = -4*n. Let c(r) = 6*r. Let f(u) = 3*u. Let v(q) = -4*c(q) + 9*f(q). Determine b(v(s)). -12*s Let n(u) = -u. Suppose 0*i = 3*i - 21. Let y(c) be the second derivative of i + c**3 - 5 + c - 2. What is y(n(h))? -6*h Let y(h) = 11*h**2. Let j(x) = -159*x**2. Give y(j(b)). 278091*b**4 Let c(b) = -b. Let x(w) = -13*w**2 + 7*w. Let z(d) = 7*d**2 - 4*d. Suppose -8 = 4*t + 52. Let s = t - -22. Let h(k) = s*z(k) + 4*x(k). Determine c(h(o)). 3*o**2 Let k(a) = -a**2. Let q(i) = 133*i - 17. Determine k(q(l)). -17689*l**2 + 4522*l - 289 Let i(s) = -25*s**2 + 11*s**2 + 8*s**2 + 11*s**2. Let o(c) = 7*c. Determine i(o(q)). 245*q**2 Let k(d) = 3*d**2 + 11*d. Let u(v) = v**2 + 4*v. Let f(z) = -4*k(z) + 11*u(z). Let a(h) be the first derivative of -h**3 + 1. Give a(f(p)). -3*p**4 Let n(t) = 13*t - 2. Let o = -7 - -9. Let s be n(o). Let v(i) = s*i + i**2 - 24*i. Let a(k) = k**2. Give v(a(h)). h**4 Let k(s) = s**2 - 5*s**2 + s**2. Let f(t) = 8*t. Determine f(k(v)). -24*v**2 Let p(b) be the first derivative of -b**3/3 - 3. Suppose -6*d = -3*d - 9. Let w(v) = 4*v - d*v - 2*v. What is w(p(g))? g**2 Let c be 2 + (1 + 1)/2. Let h(r) = -3*r + 3 - c. Let q(o) = o**2 + 3*o - 3. Let k(x) = -x**2 - 4*x + 4. Let d(u) = -3*k(u) - 4*q(u). What is h(d(m))? 3*m**2 Let w(g) = -48*g. Let i(n) = 5*n + 8*n + 13*n - 28*n. Calculate i(w(j)). 96*j Let f(h) = -249*h**2 - 2. Let x(m) = -5*m**2. Determine x(f(u)). -310005*u**4 - 4980*u**2 - 20 Let s(v) = 0*v**2 - 7*v**2 + v**2 - 3*v**2. Let o(y) = y. Give o(s(t)). -9*t**2 Let t(d) = -4*d**2. Let j(q) be the first derivative of -1/3*q**3 + 0*q + 0*q**2 + 3. Determine t(j(s)). -4*s**4 Let p = -13 - -17. Let g(h) = -4*h**2 - h**2 + 3*h**2 + p*h**2. Let m(o) = -3*o. Calculate g(m(x)). 18*x**2 Let s(q) = 4*q. Let p(i) = -i**2 + i. Let x(z) be the first derivative of -7*z**3/3 + 3*z**2 - 3. Let j(y) = -6*p(y) + x(y). Calculate j(s(d)). -16*d**2 Let l(y) be the second derivative of -y**3/2 - 2*y. Suppose -s - 3*v = -v - 3, -5*s = -4*v - 1. Let f(k) = 4*k - 1 - 2*k + s. Give l(f(z)). -6*z Let c(z) = 2*z**2. Let y(d) = -67*d + 24. What is c(y(o))? 8978*o**2 - 6432*o + 1152 Let c(p) = 3. Let m(l) = l - 4. Let f(u) = 4*c(u) + 3*m(u). Let z(w) = -2*w**2. What is z(f(s))? -18*s**2 Let m(d) = -2*d**2 + 3*d**2 - 4*d**2. Let n = -11 + 3. Let l(j) = -4*j. Let r(a) = 6*a. Let p(t) = n*l(t) - 5*r(t). Determine m(p(c)). -12*c**2 Let l(s) = -s. Let z(f) = 19*f + 36. Give l(z(t)). -19*t - 36 Let s(d) = -3*d. Let f be (4/3)/((-1)/(-3)). Let t(x) = 6 - f - 2 + x. Calculate s(t(j)). -3*j Let c(t) be the third derivative of t**4/24 - 4*t**2. Let y(m) = -4*m**2. Give y(c(f)). -4*f**2 Let k(o) = -11*o**2. Let g(c) be the first derivative of -6 + 0*c + 0*c**2 + 2/3*c**3. What is k(g(p))? -44*p**4 Let f(r) = 3*r. Let p(q) = -16*q. Let x(a) = 22*f(a) + 4*p(a). Let b(j) = -4*j. Determine b(x(o)). -8*o Let t(i) = -7*i - 9. Let u(x) = 3*x + 4. Let d(b) = 4*t(b) + 9*u(b). Let w be 0/(1/(-1) - -3). Let l(p) = -4*p + w*p + 2*p**2 + 4*p. Give d(l(m)). -2*m**2 Let t = 6 - 7. Let l(v) = 2*v**2 + 0*v**2 + 1 + v + 0*v**2. Let i(z) = -z**2 - z - 1. Let o(u) = t*i(u) - l(u). Let r(j) = -4*j. Give r(o(f)). 4*f**2 Let d(o) = 171*o. Let s(r) = 3*r - 7. Give d(s(m)). 513*m - 1197 Let x(o) = -121*o - 4. Let s(t) = t. Calculate s(x(w)). -121*w - 4 Let r(y) = 2*y**2 + 11*y - 11. Let u(z) = z - 1. Let v(k) = 2*r(k) - 22*u(k). Let m(c) = -3*c**2. What is m(v(g))? -48*g**4 Let u(q) = 2*q + 5. Let o(y) = -y - 2. Suppose 3*f = -2*p - 2 - 0, -5*f - 6 = 2*p. Let c(t) = f*u(t) - 5*
{ "pile_set_name": "DM Mathematics" }
*f**2 - 2*f**2. Suppose -15 = -4*t - 3*h, 6 = 2*t + 3*h - 9. Let q = -2 + t. Give z(q). 4 Let g(t) be the third derivative of t**5/60 + t**4/24 - 5*t**3/6 + 8*t**2. Determine g(0). -5 Let g(k) be the second derivative of k**4/12 - k**3/3 - 6*k + 1. Let p = 2 + 1. Let t be 17/4 - p/12. Calculate g(t). 8 Let f(u) be the first derivative of u**2 + 3*u + 11. What is f(-4)? -5 Let p(k) = -5 + 3 - k + 3. Give p(1). 0 Let r(v) = -v**3 + 5*v**2 - 1. Suppose -20 = -2*b + 6. Suppose 0 = -j - 0*j + b. Let x = j - 8. What is r(x)? -1 Let c(a) = -15*a**3 + 14*a**2 + 15*a + 2. Let f(k) = 7*k**3 - 7*k**2 - 7*k - 1. Let r(l) = -6*c(l) - 13*f(l). Calculate r(7). 8 Let n(b) = -5*b + 13. Let y(p) = p - 3. Let a(t) = -2*n(t) - 9*y(t). Let d(i) = -i**3 - 2*i**2 - 4. Let x be d(-3). Determine a(x). 6 Let y(m) be the second derivative of -m**5/4 + m**3/6 - 5*m. What is y(-1)? 4 Let f(y) be the second derivative of -y**4/3 + y**3/6 - y**2/2 - y. Let m(z) = -z**2 - 2*z + 4. Let w be m(-3). Determine f(w). -4 Let v = -1 + 7. Let z(d) = 3070*d**2 - 3069*d**2 - 3 - 6*d + 7. Calculate z(v). 4 Let w = -4 + 1. Let c(i) = -2*i. Let j(n) = -n - 1. Let p(a) = w*j(a) + c(a). Suppose -9 = 2*s + s. Give p(s). 0 Let j(u) = 0*u - 3 + u - 2*u - 2. Determine j(0). -5 Let t(y) = y**3 - 6*y**2 - 9*y + 5. Let b(k) = k + 17. Let c be b(-10). What is t(c)? -9 Let w(u) = -3*u**2 + 2*u - 7*u + 5*u**2 - u**2. What is w(4)? -4 Let o(j) be the first derivative of -j**6/120 - j**5/60 - j**4/24 + 2*j**3/3 + 2*j**2 + 4. Let d(m) be the second derivative of o(m). Give d(0). 4 Suppose 7 = -4*x + 15. Let s(j) = -2*j**2 + 6*j**x + 0*j - 1 - j + 2. Determine s(1). 4 Let u be (-4)/12 - 20/(-6). Let i(l) = -2*l - l**2 + 1 + 5*l**u + 3*l**2 - 4*l**3. Calculate i(-3). -2 Let q(p) be the first derivative of -2*p**2 - 9*p + 1. Let y be q(-4). Let m(j) = j**3 - 6*j**2 - 6*j - 6. What is m(y)? 1 Let l = 0 + -3. Let c(t) = t**3 + 3*t**2 + 4*t - 7. Let f(h) = 2*h**3 + 2*h**2 + 5*h - 8. Let r(i) = l*c(i) + 2*f(i). Give r(5). -5 Let l be (-10)/(-25) + (-12)/15*8. Let j(z) = -z - 1. Determine j(l). 5 Let k(u) = -14*u**2 + 18*u + 11. Let t(p) = -5*p**2 + 6*p + 4. Let f(b) = -6*k(b) + 17*t(b). Let o(j) = -j**2 + 6*j - 11. Let d be o(5). Calculate f(d). 2 Let r(j) = j**2 + 8*j + 6. Suppose 0 = -8*f - 1 - 47. Calculate r(f). -6 Let a(t) = 1 - 1 - 1 - 2*t - 3*t. Let z be a(-1). Suppose 0 = z*n - 3*n - 6. Let k(c) = c - 12. Give k(n). -6 Let d(y) = y**2 - y. Let p(k) = -5*k**2 + 6. Let h(f) = 6*d(f) + p(f). What is h(6)? 6 Let s be 12/(-4)*(0 + -1). Let h(y) = -y. Let m(n) = 8*n. Let u(o) = -24*h(o) - 2*m(o). Let d(t) = -t. Let a(q) = 18*d(q) + 2*u(q). Determine a(s). -6 Let l be 1/(0 - (-2)/10). Let q be 24/l - 2/(-10). Let u(x) be the first derivative of x**4/4 - 5*x**3/3 - x**2/2 - 6*x + 1. Calculate u(q). -11 Let s(u) = -3*u + 3. Suppose 5*i = -b + 14, -3*b = -4*i - 0*b - 4. Give s(i). -3 Let n(m) be the second derivative of m**5/20 - 5*m**4/12 - 5*m**2/2 + m. Suppose 2*i = 3 + 5. Suppose -x = -i*b - 13, -2*b = -3*x + 2*b + 23. Give n(x). -5 Let w(d) = d**3 + d + 1. Let c(p) = -43*p**2 + 2*p - 1. Let q be c(1). Let x(u) = -12*u**3 - 14*u - 14. Let o(k) = q*w(k) - 3*x(k). What is o(-1)? 6 Let w(j) = -5*j + 3. Let f(y) = 5*y - 4. Let o(q) = -2*f(q) - 3*w(q). Determine o(1). 4 Let o be 2 + (-3 + 28 - 2). Suppose 3*x - 5*x + 10 = -2*w, -5*x + o = 5*w. Suppose w = -0*j + 5*j. Let s(p) = -p**3 + 13. Calculate s(j). 13 Let p(u) = u**2 + 5*u - 7. Let t(s) = -2*s**2 - 4*s + 8. Suppose -h - 3*c - 3 = 2, 5*h = c - 9. Let n(j) = h*t(j) - 3*p(j). Let m = 21 + -16. What is n(m)? -5 Let a(o) = -7*o - 2*o**3 - 370 + 362 + 8*o**2 + o**3. Let c(l) = -6*l + 1. Let m be c(-1). Determine a(m). -8 Let q(d) = -4 + 1 + 6 + 5*d. Determine q(-2). -7 Let d(n) be the second derivative of 0 - 3*n + 1/12*n**4 + 7/2*n**2 - n**3. What is d(5)? 2 Let y(b) = -b - 6. Let k be 4*(14/(-4) + 1). Give y(k). 4 Let i(l) be the first derivative of -23*l**2/2 + 29. What is i(-1)? 23 Let r(o) = -o**2 - 7*o - 2. Let c(z) = -2*z**2 + 3*z + 2. Suppose -w - n = 1, 2*w + 4*n = n - 6. Let x be c(w). Give r(x). -2 Let s(v) = 5*v + 4. Let q be s(-2). Let b(x) = -x**3 - 6*x**2 - 2*x - 5. What is b(q)? 7 Let k(q) = -q**3 - q. Let d be k(-1). Let f be d/3 - (-4)/3. Let o(a) = -a**2 + 0*a - a - f*a**2. Give o(1). -4 Let g(t) = 4*t + 7. Let z be g(5). Let o be -3*(-3)/z*-15. Let c(v) = -5*v - 3. Let r(k) = 11*k + 6. Let j(n) = o*c(n) - 2*r(n). Calculate j(-2). -3 Let q(r) = -5*r**2 - 3*r**2 - 6*r + r**2 + 6*r**2. Determine q(-6). 0 Let u(h) = 3*h**3 - h**2 - h - 1. Suppose -g + 3 = -5*q - 6, 4*q + 4*g + 12 = 0. Let a be -3 - (0 + q)/1. Calculate u(a). -4 Suppose 7*c - 4*c = -15. Let k(q) = -9*q + 6. Let v(z) = 8*z - 5. Let t(n) = 6*k(n) + 7*v(n). Calculate t(c). -9 Let o(k) be the second derivative of -k**2/2 + k. Let v(x) = x - 10. Let c(q) = 6*o(q) - v(q). Calculate c(5). -1 Suppose g + 4*g + 25 = 0. Let s(d) be the second derivative of d**5/20 + d**4/3 - d**3/2 + 5*d**2/2 + 11*d. What is s(g)? -5 Let w = -27 + 21. Let j(n) = -n**3 - 7*n**2 - 6*n - 4. Determine j(w). -4 Let n(o) = -o**2 + o - 3. Suppose 0 = 3*u + 2*u. Let f be n(u). Let c(r) be the first derivative of -r**4/4 - r**3 - 3*r - 1. Determine c(f). -3 Let i(s) be the third derivative of -5*s**4/24 - s**3/6 - 9*s**2. Suppose 7 = 4*d - 3*y, y + 1 = -0. Give i(d). -6 Let i = 6 + -11. Let j(g) be the second derivative of -g**4/12 - 2*g**3/3 + 2*g**2 - 2*g. Calculate j(i). -1 Let h = -7 - -3. Let y(l) = l**3 + 3*l**2 - 6*l - 3. What is y(h)? 5 Let l(m) = 23*m + 7. Let v(w) = -12*w - 4. Let a(q) = -3*l(q) - 5*v(q). What is a(1)? -10 Let g(u) = -u - 20. Let m be g(-18). Let q(c) = 11*c**3 - 3*c**2 - 9*c - 6. Let r(n) = -7*n**3 + 2*n**2 + 6*n + 4. Let f(i) = -5*q(i) - 8*r(i). What is f(m)? -8 Suppose v = -0*v. Let c(o) = v - 2*o - 3 - 1. Determine c(-4). 4 Let w(d) = -d**2 + 8*d + 5. Let a(m) = -m**3 - 10*m**2 + 9*m - 13. Let y be a(-11). Determine w(y). -4 Let j(d) be the third derivative of -d**8/6720 - d**7/840 - d**5/60 + d**4/12 + 7*d**2. Let x(y) be the second derivative of j(y). Give x(-3). -2 Let o(v) = -v + 13. Let x be o(6). Let f(m) = 3 - m - m**2 + 3*m**2 - 2 + x*m**2. Determine f(1). 9 Let t = 4 - 13. Let r = -7 - t. Let c(i) = -i**3 + 3*i**2 - 4*i + 3. Give c(r). -1 Let h(f) be the second derivative of -f**3/6 - 7*f**2/2 + 24*f. Suppose 3*r + 2*k + 13 = 0, -r + 1 = 2*k - 4*k. What is h(r)? -4 Let a = 13 - 6. Suppose -2*u = -3*u - a. Let w(t) = -t**3 - 7*t**2 - t - 6. What is w(u)? 1 Let t(a) = 9*a - 17. Let g(w) = -14*w + 25. Let v(r) = 5*g(r) + 8*t(r). Let d be v(5). Let z(b) = -6 + 3 + 4*b + 4. What is z(d)? -3 Let l = 14 + -24. Let a be (-16)/l + 2/5. Let j(r) = r - 2 - r**a + 0 + 0. Calculate j(0). -2 Let s(r) = 2 - 11*r - 2 + 0. Let o(g) = -155*g. Let x(t) = -6*o(t) + 85*s(t). What is x(2)? -10 Suppose 2*j - 36 = -4*u, -3*u + 21 = -2*j - 13. Suppose 0 = z + z + 2*t - u, 4*z + t = 23. Suppose z*l = 3*l. Let v(m) = -m**3 - 6. What is v(l)? -6 Suppose -2*i - 8 = -0. Suppose 15 = 7*k - 2*k + n, 15 = -3*n. Let g(b) = -b**2 - 2*b - b + k + 0*b**2. What is g(i)? 0 Suppose 0 = 4*f - 0*f - 20. Let q(v) be the first derivative of -v**3/6 - 3*v**2/2 - v - 3. Let j(c) be the first derivative of q(c). Calculate j(f). -8 Suppose 2*c = -2*c - 8, 18 = -5*o - 4*c. Let f(s) = -s**2 + 5*s - 4. Let p(j) = 2*j**2 - 10*j + 9. Let q(x) = o*p(x) - 5*f(x). Give q(4). -2 Let k = 1 - 1. Let n(o) = 29*o + 25*o - 55*o + o**2. Calculate n(k). 0 Suppose -4*h - 5*w = 22, 1 + 1 = 2*h - 4*w. Let z(p) = -2*p - 4. Determine z(h). 2 Let q(m) = -2*m + 4. Let v = 26 - 22. Determine q(v). -4 Let k = 5 + -9. Let q = k + 10. Let s(c) = q + 9*c - 4*c + c**2 + 0*c**2. Calculate s(-4). 2 Let s(q) = 0*q**2 + 2*q**2 + q**3 + 4*q**2 - 3*q**2 - 1. Let p(r) = -r + 8. Let d be p(11). What is s(d)? -1 Let l(t) = 4*t + 0*t - 2*t**2 + 2*t**3 - 3*t**3 - 1. Let a = -17 - -14. What is l(a)? -4 Let r(n) = -n**3 - 2*n**2 + n - 3. Let y be r(-3). Let b(p) be the third derivative of -p**2 + 0*p - 1/6*p**3 + 0 + 1/12*p**4. Give b(y). 5 Let o(t) be the second derivative of -7*t**5/20 - t**4/6 + t**3/6 - t. Let f = 12 - 18. Let y be ((-10)/f - 2)*-3. What is o(y)? -8 Let j(o) = 6*o**2. Suppose 0 = -4*s + 1 + 15. Suppose -5*x + 5*y + 30 = 0, -s - 8 = -5*x -
{ "pile_set_name": "DM Mathematics" }
n**3 + 4*n**2. -2*(n - 8)*(n + 1)**2/3 Let y(z) = 25*z**2 + 1505*z + 575. Let m(q) = -25*q**2 - 1504*q - 570. Let g(v) = -5*m(v) - 6*y(v). Let g(f) = 0. Calculate f. -60, -2/5 Let v(q) = 15*q - 209. Let r be v(-28). Let w = -2515/4 - r. Factor w*n**3 + 0 + 1/4*n**2 + 0*n. n**2*(n + 1)/4 Let q = -1679660/3 + 559888. Factor -8/3 - 1/3*i**4 + 1/3*i**3 + 2*i**2 - q*i. -(i - 2)**2*(i + 1)*(i + 2)/3 Suppose -15*h + 8632 = 2107. Suppose 437*r - 4 = h*r. Factor -40/7*z**r + 16/7*z + 0 + 4*z**3 - 6/7*z**4. -2*z*(z - 2)**2*(3*z - 2)/7 Let d = -21/6235 - -28702/6235. Factor 14/5 - 1/5*p**3 + 2*p**2 - d*p. -(p - 7)*(p - 2)*(p - 1)/5 Let a(b) = b**4 + 12*b**3 + b**2 - 5. Suppose 0*d - 2*d + 7 = h, 3*d = h + 3. Let i(n) = -n**4 - 6*n**3 - n**2 + 2. Let o(y) = d*a(y) + 5*i(y). Factor o(m). -3*m**2*(m + 1)**2 Let w(g) be the third derivative of 2*g**7/315 + 13*g**6/30 + 23*g**5/5 + 33*g**4/2 + 3*g**2 - 4*g + 2. Solve w(n) = 0. -33, -3, 0 Suppose -l + p = -6*l + 163, -4*l - 2*p + 134 = 0. Let u be 1/((-6)/4) - l/(-12). Factor 88*a + 89*a - 183*a - 4 - u*a**2. -2*(a + 1)*(a + 2) Factor 0 - 369/8*f**3 - 3/8*f**5 - 513/8*f**2 + 0*f - 75/8*f**4. -3*f**2*(f + 3)**2*(f + 19)/8 Let l(q) = q + 41. Let n be l(-24). Factor -8 + 13*y**3 + 3*y**2 + 4*y**3 - 28*y - y**3 + n*y**2. 4*(y - 1)*(y + 2)*(4*y + 1) Let y(k) be the second derivative of -2*k**7/21 - 4*k**6/3 - 26*k**5/5 - 8*k**4/3 + 18*k**3 + 36*k**2 - 33*k + 21. Determine c, given that y(c) = 0. -6, -3, -1, 1 Let z(n) = 2*n**3 + 2*n**2 - 6*n. Let a(r) = 4048144*r**4 - 2040166*r**3 + 261075*r**2 - 1020*r + 1. Let u(t) = -a(t) + z(t). Factor u(c). -(4*c - 1)**2*(503*c - 1)**2 Let r(x) be the second derivative of 0*x**2 + 0 + 33*x + 7/4*x**3 + 1/8*x**4. Factor r(t). 3*t*(t + 7)/2 Let m(r) be the third derivative of -r**7/2940 - r**6/140 - 2*r**5/35 - 4*r**4/21 - 61*r**3/6 + 105*r**2. Let c(k) be the first derivative of m(k). Factor c(p). -2*(p + 1)*(p + 4)**2/7 Let w(l) = -3*l**2 - 6. Let g = -12 - -10. Let n(j) = j**2 - 3*j - 1. Let v(f) = g*w(f) - 4*n(f). Factor v(d). 2*(d + 2)*(d + 4) Let j(d) be the first derivative of -2*d**5/3 + 4*d**4/3 + 194*d**3/9 - 20*d**2 + 7432. What is h in j(h) = 0? -4, 0, 3/5, 5 Let 4/17*b**3 - 4/17*b - 6*b**4 + 6*b**2 + 0 = 0. Calculate b. -1, 0, 2/51, 1 Let n(c) be the second derivative of c**4/3 + 118*c**3/21 - 132*c**2/7 + 11*c - 2. What is m in n(m) = 0? -66/7, 1 Let s(k) be the second derivative of 3*k**7/14 - 29*k**6/10 - 27*k**5/2 + 15*k**4 + 76*k**3 - 144*k**2 + 3*k - 820. Solve s(q) = 0 for q. -2, 2/3, 1, 12 Suppose 2*d - 11 = -11. Suppose 2*h - 21 + 15 = d. Determine n, given that -8*n**2 - 9 + 22*n**2 + 4*n**3 - n**5 - 5*n**4 - 6*n**h + 3*n = 0. -3, -1, 1 Let d(u) = 391 + 383 + u**2 - u - 774. Let n(t) = 2*t**2 - 6*t + t**2 + t**3 + t**3 + t**4. Let z(l) = 4*d(l) - n(l). Solve z(i) = 0. -2, -1, 0, 1 Let i(m) be the first derivative of m**6/9 - 2*m**5/5 - m**4/3 + 4*m**3/3 + m**2/3 - 2*m + 498. Find l, given that i(l) = 0. -1, 1, 3 Let 1386*p**2 + 221875038 - 2/3*p**3 - 960498*p = 0. Calculate p. 693 Factor 1/10*p**2 - 1/10 + 0*p. (p - 1)*(p + 1)/10 Suppose -2*m - 18 = s - 56, -m + 3*s = -19. Solve -49*j - m*j - 2 + 4*j**2 + 4*j**3 + 62 = 0 for j. -5, 1, 3 Suppose 150 = 5*x - 11*i + 6*i, 80 = 2*x + 2*i. Let v = 45 - x. Let -20*h**3 + 5 - v*h**4 + 15/2*h**2 + 35/2*h = 0. What is h? -2, -1/2, 1 Let i be 1 + (-7)/28 + (-172)/(-720)*-3. Let v(a) be the first derivative of 1/8*a**4 + 5 + 0*a**2 + 0*a**3 + i*a**5 + 0*a. Factor v(k). k**3*(k + 3)/6 Let p(f) = -6*f**3 + 39*f**2 + 25*f - 10. Let d(q) = 5*q**3 - 37*q**2 - 26*q + 8. Let y(t) = -5*d(t) - 4*p(t). Solve y(k) = 0 for k. -1, 0, 30 Suppose -4*w - 27092 = 4*f - 8*f, -3*f + 20327 = -5*w. Let -30 + f*v - 3381*v + 3*v**2 - 3415*v = 0. Calculate v. -1, 10 Factor -19686969/5 - 1/5*v**2 - 8874/5*v. -(v + 4437)**2/5 Suppose 5055477/5 + 1071/5*t**2 + 3/5*t**3 + 127449/5*t = 0. Calculate t. -119 Let k(t) be the first derivative of -4*t**5/5 + 44*t**4 + 60*t**3 + 2155. Factor k(z). -4*z**2*(z - 45)*(z + 1) Let a(m) be the second derivative of -53/10*m**5 - 4/15*m**6 - 27*m - 36*m**2 - 205/6*m**4 + 0 - 64*m**3. Determine k, given that a(k) = 0. -6, -1, -1/4 Find a, given that 22/5*a**3 - 6/5*a**4 + 124/5*a + 102/5*a**2 + 48/5 - 2/5*a**5 = 0. -3, -2, -1, 4 Let p = -530 + 464. Let i be 2/3 + (-253)/p + -3. Factor -i*u - 9/4 + 3/4*u**2. 3*(u - 3)*(u + 1)/4 Suppose -2*n - 47 = -5. Let p be n/(-6) + 2/4. Solve -p - 32*m + 9*m + 17*m - 2*m**2 = 0. -2, -1 Let n be 0/(-13 - (-6 + -5))*6/12. Determine j, given that n - 2/7*j**2 - 2/7*j = 0. -1, 0 Let -1334/9 - 104/9*t - 2/9*t**2 = 0. Calculate t. -29, -23 Factor 4822/7*r**2 + 2908870/7*r + 2904050/7 + 2/7*r**3. 2*(r + 1)*(r + 1205)**2/7 Let v(m) be the third derivative of m**7/420 - m**6/90 - m**5/12 + m**4/2 - m**3 + 2*m**2 - 20. Let l(j) be the first derivative of v(j). Factor l(k). 2*(k - 3)*(k - 1)*(k + 2) Suppose -11*o + 15*o - 46 = 2*r, 4*o - r - 49 = 0. Suppose -o*w + 38 = 12. Factor 0 + 1/3*t**w + 0*t + 1/3*t**3. t**2*(t + 1)/3 Let d(l) = l**2 + 374*l + 2212. Let f be d(-6). Let b(q) be the first derivative of 6/7*q**f + 4/35*q**5 + 0*q - 26 + 12/7*q**3 + 0*q**2. Factor b(z). 4*z**2*(z + 3)**2/7 Let n(r) = -r**3 - 9*r**2 + 21*r + 75. Let b be n(-12). Factor 177/5*k**3 - 75 + b*k + 12/5*k**4 + 171*k**2. 3*(k + 5)**3*(4*k - 1)/5 Let m(b) be the third derivative of b**6/300 + b**5/15 - 23*b**4/60 - 44*b**3/5 - 764*b**2. Determine n, given that m(n) = 0. -11, -3, 4 Determine i, given that 48/11*i - 38/11*i**2 - 12/11*i**3 + 2/11*i**4 + 0 = 0. -3, 0, 1, 8 Let y(u) be the third derivative of u**7/525 - 8*u**5/75 + 2*u**2 - 307. Find k, given that y(k) = 0. -4, 0, 4 Let u(l) = -31*l**3 - 59*l**2 - 66*l + 21. Let o(j) = 3*j**3 + 6*j**2 + 7*j - 2. Let n(q) = -21*o(q) - 2*u(q). Factor n(y). -y*(y + 3)*(y + 5) Find c, given that 3369/4*c - 3/8*c**2 - 3783387/8 = 0. 1123 Factor 0*y - 63/2*y**2 + y**3 + 0 + 1/2*y**4. y**2*(y - 7)*(y + 9)/2 Let z be 441368/342 - (-22)/(-209). Let k = z - 1289. Solve k*q**2 + 4/3*q + 4/9 + 2/3*q**3 + 1/9*q**4 = 0 for q. -2, -1 Suppose -2*n = -7*n + 225. Solve -14*r**2 + n*r + 2*r**3 - 35*r + 2*r**2 = 0 for r. 0, 1, 5 Factor 151 + 995*l**2 - 50*l**3 + 1975*l + 23*l**3 + 32*l**3 + 834. 5*(l + 1)**2*(l + 197) Let x be (-1 + (-2)/(-5))/(7/(-35)). Suppose j + 2*j - 3*u = 0, 5*j = x*u + 6. Factor 3*n**3 - 4*n - n**4 + 3*n - 2*n**3 + j*n**2 - 2. -(n - 2)*(n - 1)*(n + 1)**2 Let q be (-164)/336 - ((-880)/(-77) + -12). Let t(r) be the second derivative of 1/6*r**3 - 1/20*r**5 + 18*r + 0 + q*r**4 - 1/2*r**2. Let t(d) = 0. Calculate d. -1, 1 Let b(y) be the second derivative of 0 - 1/9*y**3 + 3*y + 0*y**2 + 1/8*y**4 - 1/60*y**5. Solve b(g) = 0. 0, 1/2, 4 Factor 379*r + 542*r**2 + 1091*r - 366*r**3 - 366*r**3 - 58*r**2 + 730*r**3. -2*r*(r - 245)*(r + 3) Let j be 44/16*(1 - -119). Let k be (1 + -3 - 3)*(-24)/j. Find h, given that 6/11 - k*h**2 - 8/11*h**3 + 8/11*h - 2/11*h**4 = 0. -3, -1, 1 Let w(n) be the second derivative of n**6/360 + 3*n**5/20 + 37*n**3/2 + 11*n - 11. Let j(h) be the second derivative of w(h). Solve j(m) = 0. -18, 0 Let k(g) be the first derivative of 0*g**2 - 197 - 7/10*g**4 - 1/5*g**5 + 1/5*g**3 + 0*g. What is s in k(s) = 0? -3, 0, 1/5 Let c(m) = 7*m**2 - 141*m - 18. Let h be c(20). Let u be -5*(h/30 - 4/(-6)). What is n in 0 + 0*n + 2/5*n**u - 2*n**2 = 0? 0, 5 Suppose 10 = 107*y - 665*y + 10. Suppose y - 2/5*v**3 - 2*v**2 - 12/5*v = 0. What is v? -3, -2, 0 Factor 2/11*x**2 - 2 - 20/11*x. 2*(x - 11)*(x + 1)/11 Find v such that 72*v + 3*v**3 - 6456 + 6456 - 10*v**2 - 5*v**3 = 0. -9, 0, 4 Suppose -11417*h**4 - 35*h**5 - 1889086320*h - 1549720*h**3 - 52998892*h**2 + 547008160 - 35605188*h**2 - 613*h**4 = 0. What is h? -86, 2/7 Let -887*w + 22*w**4 + 456*w + 423*w + 32*w**2 + 62*w**3 = 0. What is w? -2, -1, 0, 2/11 Factor 0 + 20/9*g - 2/9*g**2. -2*g*(g - 10)/9 Let n be 46*19/(-3059)*-2. Solve -676/7 - n*q**2 - 104/7*q = 0. -13 Let z = -2602 + 2605. Let l(v) be the third derivative of -1/60*v**5 + 0 - v**z + 0*v - 16*v**2 + 7/24*v**4. What is s in l(s) = 0? 1, 6 Let i = 28638 + -315004/11. Factor 4/11*l**2 + 0 - i*l**4 + 10/11*l**3 + 0*l. -2*l**2*(l - 1)*(7*l + 2)/11 Let z be -4 - (37 + -77 + 26). Determine k, given that -30*k - 55/2*k**2 - 5/4*k**4 - 45/4 - z*
{ "pile_set_name": "DM Mathematics" }
vative of 3*q**5/20 + 6*q**2 + q - 8. Let h(l) be the first derivative of g(l). What is the derivative of h(w) wrt w? 9*w**2 Let f = 16 + -8. Let c = f - 3. What is the second derivative of r + r - 5*r - c*r**2 + 4*r**2 wrt r? -2 Let w(x) be the second derivative of -x**6/30 - 13*x**4/12 - x**3/6 + x**2/2 - 2*x + 2. What is the second derivative of w(k) wrt k? -12*k**2 - 26 Let v(z) be the third derivative of 2*z**7/105 + 3*z**6/40 + z**5/20 + z**3/3 + 31*z**2. What is the third derivative of v(l) wrt l? 96*l + 54 Let y(h) be the first derivative of -9/4*h**4 + 0*h**3 + 4*h**2 + 10 + 0*h. Find the second derivative of y(v) wrt v. -54*v Let i = -21 - -24. What is the first derivative of -t + 1 - 15*t**2 + 4*t - i*t wrt t? -30*t Let a(l) be the third derivative of -3*l**6/4 - l**5/2 - 3*l**2 - 6. What is the third derivative of a(o) wrt o? -540 What is the third derivative of -326*y**2 + 12*y**3 + 116*y**6 - 9 + 330*y**2 - 12*y**3 wrt y? 13920*y**3 Suppose -4 = 2*a - 16. Suppose -h + 4 = h. What is the third derivative of -3*l**a - 7*l**h + 3*l**2 + 0*l**6 wrt l? -360*l**3 Let j be 7 - 40/5 - 1*-4. Let a(q) = q - 1. Let w be a(5). Differentiate 3 + w*c**3 - 4*c**j + 3*c**3 with respect to c. 9*c**2 Suppose 3*i - 4*c - 22 = i, 0 = i + 5*c + 3. Let n(g) be the first derivative of 0*g**2 - 5/3*g**3 + i + 4*g. What is the first derivative of n(y) wrt y? -10*y What is the first derivative of 36*d - 187*d - 37*d - 50*d + 111 + 235 wrt d? -238 Let c(t) be the second derivative of -14*t**6/3 + 19*t**3 - t**2/2 + 127*t. Find the second derivative of c(r) wrt r. -1680*r**2 Suppose 4*m + 8 = 28. Find the second derivative of 3*w**2 - 88*w**m + 24*w + 90*w**5 - 3*w**2 wrt w. 40*w**3 Find the third derivative of 54*g**3 - 143*g**3 + 49*g**2 + 94*g**3 wrt g. 30 Suppose -4*j = -j + 6. Let v(y) = 0 - 4*y + 2*y - 1 + 3*y + y**2. Let h(o) = 6*o**2 + 2*o - 7. Let b(w) = j*v(w) + h(w). Differentiate b(c) with respect to c. 8*c Let n be ((-6)/9)/(6/261). Let j = -27 - n. Find the third derivative of 3*y**6 + 5*y**6 - 19*y**2 + 10*y**j wrt y. 960*y**3 Let q(c) be the first derivative of -6*c**7/35 - 7*c**3/3 - 11*c**2 + 36. Let f(x) be the second derivative of q(x). Find the first derivative of f(d) wrt d. -144*d**3 Let m(h) be the first derivative of h**4/2 + 65*h**2/2 + 799*h + 703. Differentiate m(d) wrt d. 6*d**2 + 65 What is the second derivative of -35*t**2 - 80*t + 61*t**3 + 27*t**3 + 36*t**2 wrt t? 528*t + 2 Differentiate -494 - 188 - 3*l - 10*l + 5*l**2 wrt l. 10*l - 13 Let y(z) = 8*z + 3. Let t be y(5). Suppose -4*d - t = -207. What is the third derivative of 41*h**3 + 7*h**2 - d*h**3 + h**4 wrt h? 24*h Suppose -3*o + 17 = 3*p - o, -5*p - o + 19 = 0. Find the first derivative of -11 - 2*n**3 + 5*n**3 - 5*n**p - n**3 wrt n. -9*n**2 Suppose -4 = 4*m - 0*m, -694 = 3*c + 4*m. Let i = c - -349. Differentiate 2*d**3 + 119*d - i*d + 10 wrt d. 6*d**2 Let m be (9/(-4))/((-39)/104). Let z(g) be the first derivative of 0*g**3 + 9/2*g**2 + 0*g + 2/5*g**5 + m + 0*g**4. Find the second derivative of z(j) wrt j. 24*j**2 Let a(k) be the second derivative of 21*k**6/2 + 83*k**2/2 + 318*k. Differentiate a(b) with respect to b. 1260*b**3 Suppose -m - 3*m + 24 = 0. Let u be (-2)/(-3)*27/m. What is the second derivative of -3*a**3 + 0*a**u - 153*a + 161*a wrt a? -18*a Let r = 320 - 313. Let c(w) be the first derivative of 6/7*w**r + 0*w**6 + 0*w**2 - w**3 + 5 + 0*w**4 + 0*w**5 + 0*w. Find the third derivative of c(p) wrt p. 720*p**3 Let l(q) be the second derivative of -q**6/60 - q**4/12 - 3*q**3/2 - 6*q. Let k(j) be the second derivative of l(j). Differentiate k(s) wrt s. -12*s Let c(z) be the first derivative of -394*z**7/7 + z**3/3 + 34*z - 120. Find the third derivative of c(d) wrt d. -47280*d**3 What is the third derivative of 205*m**2 - 587*m**3 + 891*m**4 - 588*m**3 + 1175*m**3 wrt m? 21384*m Let i = 44 + -36. What is the first derivative of 10*u**2 - 2 - 1 - 9 + i*u**2 wrt u? 36*u Let w(z) be the third derivative of z**9/252 - 17*z**6/15 - 103*z**5/10 - z**4/24 - 532*z**2. Find the third derivative of w(v) wrt v. 240*v**3 - 816 Find the third derivative of 102 + 95*x**6 - 10*x**6 - 84 + 2*x**2 wrt x. 10200*x**3 What is the derivative of 1 + 14 + 24 - 2 - 122*q**4 wrt q? -488*q**3 What is the first derivative of -11 + 11 - 78*z - 58 wrt z? -78 Let l(i) = -3*i**3 + 131*i**2 - 7*i - 2771. Let d(v) = -2*v**3 + 87*v**2 - 5*v - 1847. Let g(r) = -7*d(r) + 5*l(r). Find the first derivative of g(u) wrt u. -3*u**2 + 92*u Let q(b) be the third derivative of -4*b**4/3 + 5*b**3/2 + 25*b**2. Let k(z) = 31*z - 15. Let y(g) = -2*k(g) - 3*q(g). What is the derivative of y(d) wrt d? 34 Let t(a) = 3*a**2 - 114*a - 3. Let o(q) = q**2 + 115*q + 2. Let h(i) = -3*o(i) - 2*t(i). Find the second derivative of h(x) wrt x. -18 Find the first derivative of -260 - 66*p + 110*p + 72*p wrt p. 116 Let s be (-7)/(-7) + 0 + 4*1. Let j(t) = -t**2 - 4*t - 45. Let x(p) = p**2 + 4*p + 44. Let n(g) = s*j(g) + 4*x(g). Find the first derivative of n(o) wrt o. -2*o - 4 Suppose -s - 38 = s. Let y = s + 19. What is the second derivative of -2*n**2 + 3*n**2 + y*n**2 + 5*n + 3*n wrt n? 2 Let m(s) be the first derivative of s**3/3 - 59*s**2/2 - 31*s + 74. What is the derivative of m(o) wrt o? 2*o - 59 Let n(f) be the second derivative of -5*f**7/7 - f**4/6 + 35*f**3/3 + 279*f. Find the third derivative of n(q) wrt q. -1800*q**2 Let c(w) be the third derivative of -29*w**7/14 - w**4/4 - 7*w**3/3 + 215*w**2. Find the second derivative of c(r) wrt r. -5220*r**2 Let w(o) = -14*o**2 + 58*o. Let d(f) = 14*f**2 - 59*f. Let q(l) = 7*d(l) + 6*w(l). Find the second derivative of q(x) wrt x. 28 Let s(u) = 4*u**3 + 7*u**2 - 4. Let v = 24 + -20. Let c(d) = 1. Let h(g) = v*c(g) + s(g). Find the third derivative of h(p) wrt p. 24 Let c(t) = 69*t**3 + 134*t**2 + 5. Let q(u) = -103*u**3 - 200*u**2 - 8. Let j(w) = -8*c(w) - 5*q(w). Find the third derivative of j(x) wrt x. -222 Let j(i) be the first derivative of 19*i**6/6 - 5*i**3/3 + 3*i**2/2 + 78*i - 15. What is the second derivative of j(h) wrt h? 380*h**3 - 10 Let m(q) = 40*q + 147. Let k(j) = -19*j - 73. Let g(o) = -5*k(o) - 2*m(o). Differentiate g(s) wrt s. 15 Let l(y) be the second derivative of -y**7/21 + 11*y**5/20 - 7*y**4/12 - y + 3. Find the third derivative of l(v) wrt v. -120*v**2 + 66 Let b(j) be the first derivative of 0*j**4 + 0*j**5 + 2/3*j**6 + 0*j - 7/3*j**3 + 0*j**2 + 18. Find the third derivative of b(u) wrt u. 240*u**2 Let a be ((-39)/26)/((-1)/2). Let h(z) be the first derivative of -5 + 0*z + 0*z**4 + 3/5*z**5 - 1/3*z**a + 0*z**2. What is the third derivative of h(w) wrt w? 72*w Let l be (-1)/(3/(-87)) + 3*-1. What is the derivative of l - 126*d + 51*d + 43*d wrt d? -32 Let t(q) = -100*q - 3. Let a(r) = -97*r - 3. Let m(z) = -3*a(z) + 2*t(z). What is the first derivative of m(g) wrt g? 91 Suppose -37*c + 5244 = -34*c. What is the second derivative of 2*r**3 - 1747*r**2 - 6 + c*r**2 - 3 + r wrt r? 12*r + 2 Let y(t) = 137*t**2 - 6*t + 96. Let j(r) = -272*r**2 + 11*r - 191. Let a(b) = -4*j(b) - 7*y(b). What is the second derivative of a(x) wrt x? 258 What is the first derivative of -145*v**3 - 536 - 155*v**3 - 5*v**3 - 67 wrt v? -915*v**2 Suppose 2*n - 7*n - 20 = 0, -n - 7 = -c. Find the third derivative of 8*r**2 + 9*r**2 + 9*r**c - 18*r**2 wrt r. 54 Let j(v) = -3*v - 12. Let i be j(7). Let c = i + 37. What is the third derivative of 28*x**3 - 5*x**4 - 28*x**3 + c*x**2 wrt x? -120*x Let w(o) = -o**3 - 6*o**2 + 6. Let n be w(-5). Let l = n - -23. What is the third derivative of 2*t**2 + 17 - 17 - 6*t**2 - 2*t**l wrt t? -48*t Let p(j) = -2*j**3 - j**2 - 2*j - 1. Let d(v) = -3*v**3 - v**2 - 4*v + 39. Let h(w) = -3*d(w) + 6*p(w). Find the first derivative of h(k) wrt k. -9*k**2 - 6*k Let k be 30/9 + (-8)/6. Find the second derivative of 9*x**2 + 11*x**2 + 11*x**2 + 13*x - 9*x**k wrt x. 44 Let x(w) = w**3 + 9*w**2 + 7*w - 8. Let y be x(-8). Let h = y - -5. What is the second derivative of -10*i + 12*i - i**5 + 6*i**h wrt i? 100*i**3 Suppose -2*v + 5*k + 31 = 0, -2*v + 2 = 2*v + 2*k. Suppose 5*o - v = 7. Differentiate -4*b**2 - 6*b**2 + 3*b**o - 9 - 8*b**2 wrt b. -30*b Let q(h) = -4*h**3 - h**2 + h + 1. Let s(d) = -625*d**3 + d**2 + 2*d - 91. Let r(a) = 2*q(a) -
{ "pile_set_name": "DM Mathematics" }
e prob of sequence yy. 1/55 Calculate prob of sequence ppv when three letters picked without replacement from {p: 10, i: 8, v: 1}. 5/323 Calculate prob of sequence kbk when three letters picked without replacement from kjjbkbjvjjjjbjjkvk. 1/136 What is prob of sequence gjg when three letters picked without replacement from {j: 7, g: 2}? 1/36 What is prob of sequence ccc when three letters picked without replacement from {c: 10}? 1 Two letters picked without replacement from xxeexefxeempexemfmx. Give prob of sequence em. 7/114 Four letters picked without replacement from {j: 1, g: 6, s: 1, f: 1, x: 6, i: 5}. What is prob of sequence ifsg? 1/3876 Calculate prob of sequence zz when two letters picked without replacement from dzlll. 0 Calculate prob of sequence bdy when three letters picked without replacement from {g: 4, y: 1, b: 5, d: 1}. 1/198 What is prob of sequence wwkx when four letters picked without replacement from {x: 4, j: 1, w: 3, h: 2, k: 6}? 3/910 Calculate prob of sequence aaa when three letters picked without replacement from {r: 5, a: 13}. 143/408 Calculate prob of sequence qd when two letters picked without replacement from {q: 1, d: 2, x: 4, p: 2}. 1/36 Three letters picked without replacement from sssyvssksssksy. What is prob of sequence vkk? 1/1092 What is prob of sequence edes when four letters picked without replacement from sdsexxdsssdxsesxssd? 1/1292 What is prob of sequence ekok when four letters picked without replacement from {o: 9, t: 4, e: 1, k: 2}? 3/7280 What is prob of sequence vumi when four letters picked without replacement from ouiouvmuvo? 1/840 Calculate prob of sequence nn when two letters picked without replacement from nrnnnnnnnnnnnnnnnnn. 17/19 Three letters picked without replacement from {i: 2, q: 1}. What is prob of sequence iqi? 1/3 Four letters picked without replacement from zezettzzetezeteee. Give prob of sequence zete. 1/51 What is prob of sequence ggmm when four letters picked without replacement from mmsgggsg? 1/70 Three letters picked without replacement from zbmvo. What is prob of sequence vbo? 1/60 What is prob of sequence ffff when four letters picked without replacement from {q: 4, f: 7}? 7/66 Three letters picked without replacement from {g: 3, k: 1, e: 13, b: 2}. Give prob of sequence bkg. 1/969 Four letters picked without replacement from {l: 5, g: 7, t: 7}. Give prob of sequence lltt. 35/3876 What is prob of sequence cchh when four letters picked without replacement from {c: 3, h: 3}? 1/10 What is prob of sequence mmwm when four letters picked without replacement from {w: 4, x: 2, m: 5, p: 4}? 2/273 Two letters picked without replacement from {g: 1, b: 1, c: 1, h: 1, v: 1}. Give prob of sequence gv. 1/20 Three letters picked without replacement from {y: 2, v: 2, k: 6, w: 3, a: 6}. What is prob of sequence vka? 4/323 Two letters picked without replacement from jjjtjjtjjjttjjjjjjt. Give prob of sequence jt. 35/171 Two letters picked without replacement from iiiixxx. Give prob of sequence xi. 2/7 Calculate prob of sequence ly when two letters picked without replacement from {l: 3, y: 17}. 51/380 Two letters picked without replacement from {x: 8, a: 5}. What is prob of sequence aa? 5/39 Three letters picked without replacement from {h: 1, s: 1, g: 3, j: 3, x: 3}. What is prob of sequence sgj? 1/110 What is prob of sequence byb when three letters picked without replacement from {b: 2, y: 5}? 1/21 What is prob of sequence gxg when three letters picked without replacement from jxgggjeegeeej? 1/143 Four letters picked without replacement from {l: 1, a: 1, k: 2, p: 1, o: 2}. Give prob of sequence koka. 1/210 Calculate prob of sequence rw when two letters picked without replacement from {w: 1, r: 1, t: 3, v: 2, x: 3, c: 1}. 1/110 What is prob of sequence ffn when three letters picked without replacement from ffn? 1/3 Two letters picked without replacement from {p: 1, t: 1, k: 2}. What is prob of sequence tk? 1/6 Three letters picked without replacement from oogooggoog. What is prob of sequence oog? 1/6 Calculate prob of sequence vsbr when four letters picked without replacement from rmbmbbvsbmm. 1/1980 Calculate prob of sequence irw when three letters picked without replacement from aaaiawwwwaiaawrriaww. 7/1140 Calculate prob of sequence ajj when three letters picked without replacement from aaaajaaajj. 7/120 Two letters picked without replacement from bbvbvco. What is prob of sequence bv? 1/7 Calculate prob of sequence morl when four letters picked without replacement from rojlommmmmmomjmmmx. 1/2448 What is prob of sequence vv when two letters picked without replacement from {v: 7, q: 2}? 7/12 Calculate prob of sequence vw when two letters picked without replacement from ppwpvwpvvpwvpwvpppv. 4/57 Calculate prob of sequence jvvj when four letters picked without replacement from {v: 3, j: 2}. 1/10 Four letters picked without replacement from kddddddddddkdkddddk. What is prob of sequence kdkk? 5/1292 Calculate prob of sequence aa when two letters picked without replacement from {o: 5, n: 4, a: 10}. 5/19 Four letters picked without replacement from gqggggq. What is prob of sequence qggq? 1/21 What is prob of sequence ffgf when four letters picked without replacement from fffg? 1/4 What is prob of sequence gvv when three letters picked without replacement from {g: 8, i: 1, v: 4}? 8/143 What is prob of sequence yje when three letters picked without replacement from {e: 4, f: 1, q: 1, y: 3, h: 1, j: 4}? 2/91 Calculate prob of sequence cb when two letters picked without replacement from czbba. 1/10 Two letters picked without replacement from fxuf. Give prob of sequence ff. 1/6 Four letters picked without replacement from ppttpgggp. Give prob of sequence gtgt. 1/252 Four letters picked without replacement from xdrxtkc. What is prob of sequence xrck? 1/420 What is prob of sequence mc when two letters picked without replacement from {c: 3, r: 6, f: 8, m: 1}? 1/102 Calculate prob of sequence pxpp when four letters picked without replacement from {f: 5, g: 1, p: 7, x: 5}. 35/2448 Two letters picked without replacement from thhhhitihtcc. Give prob of sequence cc. 1/66 Three letters picked without replacement from {i: 6, q: 6, a: 1, t: 7}. Give prob of sequence tit. 7/190 Three letters picked without replacement from ahihavmhcvv. What is prob of sequence haa? 1/165 What is prob of sequence ggds when four letters picked without replacement from {g: 3, d: 4, s: 3, e: 1, j: 2, a: 2}? 1/455 Calculate prob of sequence ebeu when four letters picked without replacement from {b: 2, e: 9, a: 2, t: 1, u: 2, p: 4}. 4/1615 Two letters picked without replacement from {m: 3, q: 3}. Give prob of sequence mm. 1/5 What is prob of sequence vbnb when four letters picked without replacement from vnznnbnz? 0 What is prob of sequence wdd when three letters picked without replacement from ddwhdhaaddhahadhdohd? 7/855 Two letters picked without replacement from kdekdkvkvkkkddh. What is prob of sequence ev? 1/105 Calculate prob of sequence buxx when four letters picked without replacement from {u: 2, i: 2, c: 3, b: 2, x: 6, q: 3}. 1/612 Two letters picked without replacement from {i: 6, h: 1, f: 4}. What is prob of sequence hf? 2/55 Four letters picked without replacement from uujujljluf. What is prob of sequence lujj? 1/105 Calculate prob of sequence hqgq when four letters picked without replacement from {g: 3, w: 4, v: 6, h: 1, k: 1, q: 4}. 1/2584 Two letters picked without replacement from fkfkkkkkk. What is prob of sequence ff? 1/36 Two letters picked without replacement from {z: 6, d: 1, r: 10}. What is prob of sequence zd? 3/136 Calculate prob of sequence hsk when three letters picked without replacement from {h: 1, k: 4, i: 3, s: 12}. 2/285 Four letters picked without replacement from oogydoloy. What is prob of sequence ygyo? 1/378 Calculate prob of sequence vzx when three letters picked without replacement from cxxxcvxxcvvxczvc. 1/140 What is prob of sequence hd when two letters picked without replacement from phzppfhfwhwwhdwzfww? 2/171 Calculate prob of sequence fqff when four letters picked without replacement from rrqfqfqrqfrrfre. 4/1365 What is prob of sequence xxa when three letters picked without replacement from xxa
{ "pile_set_name": "DM Mathematics" }
42940 -7 -11379 divided by 477 -3793/159 Calculate 10141960 divided by 31. 327160 Divide 3 by -886765. -3/886765 Divide -275606166 by 12527553. -22 Divide 146290404 by 5626554. 26 Divide 21219860 by 1. 21219860 Calculate -31036200 divided by 1794. -17300 139 divided by -1709237 -139/1709237 Calculate 0 divided by -1275027. 0 What is -1 divided by -11761584? 1/11761584 5 divided by -467906 -5/467906 Divide 504628 by 34. 14842 Divide -146991460 by 4199756. -35 Calculate -52286327 divided by -2. 52286327/2 0 divided by -546057 0 Divide -32679734 by 1. -32679734 What is 14276094 divided by -21? -679814 What is -3 divided by 56303583? -1/18767861 Calculate -1979282 divided by 30. -989641/15 Divide 57083 by -9. -57083/9 What is 8109225 divided by 2703075? 3 What is -1551125 divided by 5? -310225 Divide 0 by 22800385. 0 What is -47875876 divided by -75514? 634 What is -683450 divided by 1? -683450 -7593000 divided by -6 1265500 161925577 divided by 161925577 1 Calculate 3 divided by -106220053. -3/106220053 1202136 divided by 26 46236 Divide -6051 by -108652. 6051/108652 -112490775 divided by -675 166653 Divide 2552692 by 2. 1276346 Calculate -2 divided by -600065. 2/600065 What is 7 divided by 282957? 7/282957 Divide -574668 by -33804. 17 What is -18834452 divided by 16? -4708613/4 -13 divided by 6236664 -13/6236664 Calculate 12 divided by 177877. 12/177877 What is -433841 divided by 996? -5227/12 Divide -5941278 by -549. 10822 Calculate 0 divided by 3339913. 0 What is -35480270 divided by 35? -1013722 -9035146104 divided by -6 1505857684 -5 divided by 1764354 -5/1764354 Divide -2450812 by -87529. 28 Divide 8 by -2814679. -8/2814679 -1361155 divided by 56 -1361155/56 What is 4036630 divided by -403663? -10 Calculate 18312990 divided by -3662598. -5 What is 379316 divided by -2852? -133 What is -88643371 divided by -2? 88643371/2 Calculate -207 divided by 1361227. -207/1361227 What is -1787690 divided by -1787690? 1 What is 1 divided by -73878035? -1/73878035 What is -4101175 divided by 4? -4101175/4 -1468281 divided by 3 -489427 Divide 119661732 by 49611. 2412 What is 6938502 divided by 2312834? 3 What is 2962275 divided by 4665? 635 Divide 11051 by 3264. 11051/3264 -17384944 divided by -19 17384944/19 Divide -84136 by 114. -42068/57 Divide -421782177 by 3. -140594059 Calculate -70 divided by -4246840. 7/424684 -309465386 divided by 1321 -234266 What is -241158294 divided by 221? -1091214 Calculate -1773987480 divided by 354797496. -5 2418 divided by -77 -2418/77 13537150 divided by 302 44825 What is 9884160 divided by -192? -51480 Calculate -1 divided by 108803482. -1/108803482 -4329388 divided by -154621 28 Calculate 41547 divided by 193. 41547/193 Divide 50818464 by 85842. 592 Divide -2522908 by 37. -2522908/37 Calculate 579240 divided by -8. -72405 What is 89 divided by -65736? -89/65736 Calculate 39488620 divided by -15910. -2482 Divide -85 by -394983. 85/394983 Calculate -1874 divided by -56349. 1874/56349 Calculate -541 divided by -68295. 541/68295 Divide -46380129 by 1. -46380129 What is -19447 divided by 1920? -19447/1920 83406473 divided by 109 765197 2 divided by 6781807 2/6781807 What is 836415 divided by 167283? 5 Calculate 0 divided by -11342548. 0 What is 879346 divided by -16? -439673/8 209627640 divided by -2 -104813820 What is 660702333 divided by -57? -11591269 -9107874 divided by -974 9351 What is 13028784 divided by -183504? -71 What is 4 divided by -3044324? -1/761081 Divide 81379774 by 163742. 497 -284 divided by -30192 71/7548 Divide 733645 by -146729. -5 448806860 divided by -112201715 -4 6509894 divided by -39938 -163 What is 5360354 divided by -13? -5360354/13 1258171286 divided by -6 -629085643/3 Divide 6812289 by -3. -2270763 244 divided by 1340122 122/670061 Divide -146 by -13635. 146/13635 -6758772 divided by -3379386 2 Divide -68448 by 1663. -68448/1663 What is 7 divided by 10322748? 7/10322748 Divide -63118169 by -4. 63118169/4 Divide 5 by 3723038. 5/3723038 2 divided by 4888735 2/4888735 Calculate -77615049 divided by 87. -892127 226 divided by 3877723 226/3877723 2 divided by -83620269 -2/83620269 What is -140985059 divided by 2? -140985059/2 What is -2 divided by 4737433? -2/4737433 What is 88429 divided by 4? 88429/4 What is 23465 divided by -1156? -23465/1156 Calculate 2542104 divided by -3. -847368 -77274639 divided by 349659 -221 Divide -27957958 by -1154. 24227 Divide -165283454 by 103691. -1594 What is -3598233 divided by 3? -1199411 Divide 450867682 by 19. 23729878 -128914929 divided by 42971643 -3 What is 4344515 divided by 868903? 5 Calculate 1 divided by -27261795. -1/27261795 6560554 divided by 3280277 2 Calculate -301 divided by -350577. 301/350577 Divide 226205 by 1354. 226205/1354 23859230 divided by -2 -11929615 446410 divided by 4 223205/2 Calculate -550257117 divided by 217407. -2531 Calculate 48637424 divided by -4421584. -11 Divide -1194028 by 7. -1194028/7 What is 2406 divided by 108580? 1203/54290 Divide -13012 by -6506. 2 Divide 4 by -1027058. -2/513529 Divide 4 by -23948412. -1/5987103 6056 divided by 5287 6056/5287 539150 divided by -205 -2630 What is -104450942 divided by 38? -2748709 Divide 12854907 by -558909. -23 Divide 49964085 by -9992817. -5 Divide -1582840 by 5653. -280 -1781 divided by 114297 -1781/114297 What is -20 divided by -1145067? 20/1145067 What is -195767654 divided by 1? -195767654 Calculate -24046 divided by 92. -12023/46 1495141 divided by -13 -1495141/13 Calculate 289470 divided by -103. -289470/103 What is 152074130 divided by -13? -11698010 Calculate -7378740 divided by 368937. -20 Calculate -1541184 divided by 1472. -1047 -467509105 divided by -5 93501821 Calculate -2662 divided by 69. -2662/69 Divide 44216480 by 14. 3158320 -699 divided by -1425 233/475 Divide 11 by -1617532. -11/1617532 What is 5 divided by 393336? 5/393336 What is -4846008 divided by 23? -210696 What is -2 divided by -308712415? 2/308712415 -15 divided by -7639269 5/2546423 What is -894 divided by 97085? -894/97085 Calculate 2791 divided by 762. 2791/762 -2364 divided by -126 394/21 Calculate 1906996 divided by 1. 1906996 Divide 316452576 by -3596052. -88 Calculate -4 divided by 12207429. -4/12207429 What is -4457850 divided by -15? 297190 2073580 divided by -518395 -4 -28 divided by 55250 -14/27625 Divide -3899064 by 39. -99976 Calculate -87618442 divided by -4097. 21386 -2218 divided by 12223 -2218/12223 -946 divided by 33929 -946/33929 What is 43 divided by -3282624? -43/3282624 Calculate 24103178 divided by 289. 83402 What is 4746371 divided by 133? 35687 What is -370 divided by -181041? 10/4893 Calculate -68235232 divided by -58976. 1157 Calculate 479472 divided by 506. 239736/253 13623520 divided by -12 -3405880/3 Divide -19211095 by -2. 19211095/2 Divide 18 by -47967. -6/15989 Calculate 599031829 divided by -3. -599031829/3 -76460400 divided by 47550 -1608 What is -4401701 divided by -55? 4401701/55 Divide -323397882 by -141. 2293602 Calculate -617341 divided by -4. 617341/4 Calculate -1505730 divided by -6. 250955 What is 42527 divided by 1573? 42527/1573 What is 1932743 divided by -1932743? -1 Divide 4014 by -3218. -2007/1609 Divide -10985160 by 310. -35436 Calculate -6634784 divided by 8. -829348 Divide -535 by -261623. 535/261623 Divide -216669180 by -28. 7738185 What is 23113798 divided by -626? -36923 -6472475 divided by 2 -6472475/2 Divide -190733010 by -2395. 79638 108734628 divided by 6 18122438 Calculate -399573 divided by -6. 133191/2 Divide 1159 by 87789. 1159/87789 3 divided by -2685493 -3/2685493 -113555000 divided by 22711000 -5 Calculate 3 divided by -225160482. -1/75053494 What is 10921365 divided by -5? -2184273 -4 divided by 6487869 -4/6487869 Divide 2722418 by 1. 2722418 Divide 889861024 by 2. 444930512 -3637035 divided by -435 8361 What is -262878 divided by -14? 18777 Calculate -1193 divided by -27592. 1193/27592 Divide -57 by 12104310. -19/4034770 Divide 3697062 by -218. -16959 Divide 13117296 by -12. -1093108 Divide 137101240 by -3110. -44084 What is -207 divided by -2256? 69/752 Divide 486363648 by -4. -121590912 Calculate 15843529 divided by 4. 15843529/4 What is 10608013 divided by -1? -10608013 Divide 471200798 by 3. 471200798/3 What is -2537715 divided by
{ "pile_set_name": "DM Mathematics" }
be w(-19). Round c to the nearest 10000. 520000 Let o = 2.753 + -1.166. Let g = o - 1.5870739. What is g rounded to 5 decimal places? -0.00007 Let j = 752 - 740.71. Round j to the nearest integer. 11 Let l(b) = 199*b + 5. Let g be l(-4). Let p = 1521 + g. Let n = 70 - p. Round n to the nearest 100. -700 Let x(g) = -6215*g + 10. Let u be x(-6). Round u to the nearest 1000. 37000 Let w = -1555.0004819 - -1555. What is w rounded to five decimal places? -0.00048 Let k = -1.52730524 + -808.46228476. Let w = k + 810. What is w rounded to 3 decimal places? 0.01 Let n(k) = -4653*k**2 - 5*k - 7. Let u be n(-6). Let s = -286485 - u. What is s rounded to the nearest one hundred thousand? -100000 Let s = 552 + -741. Round s to the nearest one hundred. -200 Let f = -3635860 + 7442860. Round f to the nearest 100000. 3800000 Let z = 6605 - -398. Suppose 0 = 2*m - 0*m + 5*v - 2805, z = 5*m + 3*v. Suppose 3*x + 4*w + w - m = 0, -2*w - 2354 = -5*x. Round x to the nearest 100. 500 Let u be (2 - 1)/((-42)/(-20) + -2). Suppose -u = -2*l - 8. What is l rounded to the nearest integer? 1 Let o = 65.8 - 65.79999682. What is o rounded to seven dps? 0.0000032 Let t = -62.079 + 62. Let q = 18399642 + -18399641.92100043. Let x = t + q. Round x to seven decimal places. -0.0000004 Let a = -62806.3758871 + 62780.2759. Let j = -25.58 + -0.52. Let m = a - j. Round m to 6 dps. 0.000013 Let o = 51 + -46. Suppose 1057170 = -o*z + 4757170. Round z to the nearest one million. 1000000 Let p = -3574 + 4489.9. Round p to the nearest ten. 920 Let b = 10874 - 5342. Let r = -3882 + b. Round r to the nearest one hundred. 1700 Let k = 0.1135 + 460.8865. Let n = 460.599 - k. Let u = n + 0.4009761. Round u to 6 dps. -0.000024 Let f be 63318/4 - (-3 - 45/(-18)). Round f to the nearest one thousand. 16000 Let z = -3.108 + 3.1. Let v = -21.008 - z. Let o = -20.93 - v. What is o rounded to 1 decimal place? 0.1 Let h = -592.9981 + 593. Round h to three dps. 0.002 Let v = 7 - 0.5. Let f = -6.499938 + v. Round f to 5 dps. 0.00006 Let o = -854 + 853.9998116. What is o rounded to 5 dps? -0.00019 Let m = 24 - 36. Let j = m - -12.00000202. What is j rounded to seven dps? 0.000002 Let c(l) = -2*l - 4. Let x be c(-4). Let p be -26 - ((-8)/x - 1). Let q be (p + -2)*(5 + -25). What is q rounded to the nearest 100? 500 Let r = -0.08 - 0.97. Let f = 1.0499931 + r. What is f rounded to six decimal places? -0.000007 Suppose 181 = -u - 2*d - 64, -780 = 3*u - 3*d. Let x be u/(-2*12/1120). Round x to the nearest one thousand. 12000 Let z = 0.111 + -9.511. Let c = 12.24 + z. Round c to 1 dp. 2.8 Let a be (-275)/(-22)*(-530976)/4. Round a to the nearest ten thousand. -1660000 Let h = -428.000001124 - -428. What is h rounded to seven dps? -0.0000011 Let w = -5.312047 - 3.127792. Let t = 134.560019 - w. Let i = -143 + t. Round i to 5 decimal places. -0.00014 Let d = -75.67 + 3.17. Let h = d - -72.50642. What is h rounded to 3 decimal places? 0.006 Let i = -194108 + 194108.9999956. Let t = i + -1. What is t rounded to 6 decimal places? -0.000004 Let r = 4 - 19. Let y = -159 + 144.4. Let k = r - y. Round k to the nearest integer. 0 Let v(m) = 1035*m**2 - 58*m - 5. Suppose -7*z + 124 - 19 = 0. Let d be v(z). What is d rounded to the nearest ten thousand? 230000 Let w(o) = -o**3 - 9*o**2 + 15*o + 48. Let b be w(-10). Round b to the nearest 10. 0 Let a = 5.3 - 5.30000023. Round a to six dps. 0 Let f = -5.08 + 4.769955. Let d = 579.31 - 579. Let w = f + d. What is w rounded to 5 dps? -0.00005 Let r = 4195149.299993 - 4195152. Let k = r + 2.7. What is k rounded to 5 dps? -0.00001 Let p be (18/3)/3 - -1. Suppose -4*w + 55 = 5*a, -3*w + 9 = p*a - 36. Suppose -4*l - 935 = 2*i - l, 4*l = -w. Round i to the nearest one hundred. -500 Let j(y) be the second derivative of 6061*y**4/12 + y**3 + 5*y**2/2 + 55*y. Let r be j(-1). What is r rounded to the nearest 1000? 6000 Let m = -124.66746 + -0.15654. Let x = 125 + m. Round x to 1 dp. 0.2 Let t = 2233704 - 1491573. Let i = 337131 - t. Round i to the nearest ten thousand. -410000 Let w be (-4)/(-8)*(7 - 1 - 0). Suppose -5*p - 154495 = -0*o - o, -92705 = w*p + o. What is p rounded to the nearest ten thousand? -30000 Let g(l) = 2971*l**3 - 4*l**2 + 2*l - 10. Suppose -4*u = -5*i + 7, 2*i = 4*u - i + 17. Let r be g(u). Let b = -2921434 - r. Round b to the nearest 1000000. -1000000 Let f(h) = -1407*h**2 - 2*h. Let u be f(-1). What is u rounded to the nearest 100? -1400 Let h = -183562 + -338. What is h rounded to the nearest 1000? -184000 Suppose 3*v = -v - 2*l - 2526114, -5*v + 4*l = 3157623. Let m = -4831527 - v. Round m to the nearest 1000000. -4000000 Suppose -5*q - 15350000 = -3*i, -q - 2772181 - 297819 = 2*i. What is q rounded to the nearest 1000000? -3000000 Let m be (-464037)/209 + (-15)/(-55). Round m to the nearest 1000. -2000 Let g = 515514.4902271 - 29674936.4902341. Let u = g + 29159409. Let x = u - -13. What is x rounded to five dps? -0.00001 Let h(n) = -4*n**3 + 2*n**2 + 7*n - 13. Let p be h(3). Suppose 486 = -3*y + 72. Let g = p - y. Round g to the nearest 10. 60 Let u = -9 - -13. Suppose -u*p = -t - 1592675, 3*p + t + 484556 = 1679057. Let l = p - 798168. Round l to the nearest 1000000. 0 Let g = -201.3848 - -0.2848. Round g to the nearest integer. -201 Let s be (-29858 + 1)*-21*1. Let f = -43997 + s. Round f to the nearest one hundred thousand. 600000 Let x = -1.791 + 1.793097. Round x to four dps. 0.0021 Let d = 0.61 + -0.21. Let u = d - 0.369. Round u to two decimal places. 0.03 Let l = -90 + 90.00000309. Round l to six dps. 0.000003 Let w = 137 + -135.82. Let a = w - 2.41. Round a to 1 decimal place. -1.2 Let g = -0.169 - -0.471. Round g to two dps. 0.3 Let g = 15.9213908 + 0.0789792. Let u = g + -16. What is u rounded to 4 dps? 0.0004 Let f = -10.2 + 0.2. Let l = f + 10.26. Let g = l - 0.2595. What is g rounded to three dps? 0.001 Let m = 439.8 - 503. What is m rounded to the nearest 10? -60 Let p = 67 + -65. Let f be p/6 - (3840004/12)/1. What is f rounded to the nearest 100000? -300000 Let k = 0.252 - 0.2519859. Round k to 6 dps. 0.000014 Let f = -14 - -16. Let n(p) = 4*p - 2. Let m be n(f). Suppose -94 = -m*o + 8*o. Round o to the nearest ten. -50 Let q = -24 - -13. Let y = -10.89 - q. Let m = 0.109994 - y. What is m rounded to five decimal places? -0.00001 Let w = 1276695 + -1276668.9999938. Let z = w - 26. Round z to 6 decimal places. 0.000006 Let z = 576.539 - 576. What is z rounded to 1 dp? 0.5 Let o = -36.000093 + 36. What is o rounded to 6 decimal places? -0.000093 Let c(d) = 2704*d**3 - 2*d - 2. Let p(h) = h**2 + 10*h + 3. Let v be p(-6). Let u be (-6)/(-4) - v/14. Let b be c(u). Round b to the nearest 10000. 70000 Let k = -15.33 - -8.877. What is k rounded to the nearest integer? -6 Let z = 42 + -44.4. Let h = z + 2.4000064. Round h to 6 decimal places. 0.000006 Let w = -12 + 193. Suppose 4*i + w = -91. Round i to the nearest ten. -70 Let m(t) = -14919*t**2 - 14*t - 52. Let c be m(-4). Round c to the nearest 10000. -240000 Let o(v) = 21867*v**2 + 24*v + 29. Let s be o(17). What is s rounded to the nearest 100000? 6300000 Let j = 161 - 225. Let m = j - -64.00000002. What is m rounded to seven dps? 0 Let j = -21 - -5. Let i = 40 + j. Let y = i - 24.044. Round y to 2 decimal places. -0.04 Let s(j) = 5449998*j + 8. Let z be s(4). Suppose -h - h + z = 0. Round h to the nearest one million. 11000000 Let r = -0.31 - -13.31. Let a = -13 + r. Let h = -0.00034 + a. Round h to four dps. -0.0003 Let v = -7 + -5. Let x be (v/(-9))/((-4)/(-6)). Suppose x*g + 6154 = 554. Round g to the nearest one thousand. -3000 Let p(k) = -289*k + 1. Let s be p(2). What is s rounded to the nearest ten? -580 Let h = -170.53 - -171. What is h rounded to 1 decimal place? 0.5 Let m = -244974.59 - -242655. Let b = m - -2319.60150233. Let q = b - 0.0115. What is q rounded to seven decimal places? 0.0000023 Let s = 2.443 + -2.4. What is s rounded to two dps? 0.04 Let u = -35006608 - -7786307. Let w = u - -41120301. What is w rounded to the nearest one million? 14000000 Let l be 4532/5 - 4/10. Suppose l = -5*c + 271. Let k = 214 + c. What is k rounded to the nearest ten? 90 Let g = -14693545.000012 + 14693519. Let p = -26 - g. Round p to six decimal places. 0.000012 Suppose 5*i + 8*f + 10
{ "pile_set_name": "DM Mathematics" }
957. Determine x(-57). 45 Let w(i) = -2*i**3 + 1168*i**2 - 4638*i - 912. What is w(580)? 248 Let d(f) = -4*f**3 + 566*f**2 - 1377*f - 1810. Determine d(139). -3 Let f(h) = 2570*h - 907210. Determine f(353). 0 Let i(c) = 12479*c + 63160. Give i(-5). 765 Let j(v) = -3*v**2 - 8908*v + 152303. Determine j(17). 0 Let r(v) = 5*v**2 + 2563*v + 32322. Calculate r(-13). -152 Let c(o) = -3114*o - 21262. Determine c(-7). 536 Let h(w) = 37*w**2 - 3314*w + 1859. Calculate h(89). -10 Let k(t) = 3152*t**2 + 31508*t - 98. What is k(-10)? 22 Let i(r) = 100*r - 349. Give i(4). 51 Let o(a) = 103841*a + 415290. What is o(-4)? -74 Let g(v) = 11*v**3 + 482*v**2 - 50*v + 1827. Calculate g(-44). 155 Let n(o) = 3*o**3 + 189*o**2 + 7*o + 236. What is n(-63)? -205 Let f(p) = -6410*p + 44787. Give f(7). -83 Let t(r) = 1744*r + 1768. Give t(-1). 24 Let m(b) = 21*b**2 + 1051*b - 5264. Give m(5). 516 Let u(z) = 1006*z + 1203174. Determine u(-1196). -2 Let r(j) = -3245*j + 68557. Determine r(21). 412 Let m(i) = -10340*i + 61989. Calculate m(6). -51 Let u(k) = -8*k**2 + 156*k + 189. Give u(20). 109 Let n(u) = 4*u**2 - 168*u - 2867. Determine n(-13). -7 Let i(u) = -2*u**3 + 8*u**2 + 22*u - 56. Give i(8). -392 Let w(b) = -355*b - 6812. Determine w(-19). -67 Let b(n) = 2*n**3 + 38*n**2 + 253*n + 13. Determine b(-10). -717 Let h(b) = 97*b - 1116. Calculate h(13). 145 Let c(d) = 539*d**2 - 48*d + 11. What is c(0)? 11 Let o(h) = 1488*h - 49116. What is o(33)? -12 Let k(d) = -11*d**2 + 270*d - 221. What is k(20)? 779 Let h(f) = 3859*f - 258577. Determine h(67). -24 Let y(w) = -w**3 - 18*w**2 - 485*w - 9221. Determine y(-19). 355 Let q(a) = 64*a**2 + 1027*a - 102. Determine q(-16). -150 Let t(o) = 432163*o + 2592951. Calculate t(-6). -27 Let g(z) = 22*z**2 + 2*z - 159. What is g(8)? 1265 Let z(i) = 3*i**2 + 536*i + 8552. Give z(-18). -124 Let i(f) = 576*f - 25334. Determine i(44). 10 Let b(x) = x**3 - 182*x**2 - 2955*x + 261. Determine b(197). 261 Let w(n) = -754*n - 3787. Give w(-4). -771 Let n(z) = 2*z**3 - 185*z**2 - 2730*z + 245242. Calculate n(93). 1 Let n(j) = -4*j**3 + 134*j**2 + 71*j - 99. What is n(34)? 3 Let f(d) = d**3 + 52*d**2 + 141*d + 1022. What is f(-50)? -1028 Let y(v) = 3*v**3 + 30*v**2 - 890*v + 159. What is y(-23)? -2 Let d(f) = 5*f**2 - 94233*f - 2169993. Give d(-23). 11 Let u(m) = -3209*m - 20472. Calculate u(-7). 1991 Let h(y) = -4314*y + 42264. Calculate h(9). 3438 Let z(d) = -2*d**3 + 74*d**2 + 36*d + 1532. Calculate z(38). 12 Let v(t) = 2*t**3 - 32*t**2 + 47*t - 1. Calculate v(16). 751 Let z(k) = 3303*k - 181663. Give z(55). 2 Let x(q) = 2*q**2 - 28521*q + 256582. What is x(9)? 55 Let a(d) = 79*d - 3551. Determine a(39). -470 Let i(t) = -4444*t - 13329. Determine i(-3). 3 Let p(q) = 175*q + 5852. Determine p(-35). -273 Let c(t) = -t**2 + 122*t - 3819. Give c(53). -162 Let f(k) = -148604*k - 2377667. Calculate f(-16). -3 Let g(k) = -90*k**2 - 831*k + 41. Calculate g(-9). 230 Let v(r) = 998*r**2 - 109*r - 6. Give v(-1). 1101 Let x(d) = -d**2 + 10709*d + 85742. Determine x(-8). 6 Let m(r) = 32*r**3 + r**2 - 17*r - 63. Calculate m(0). -63 Let o(g) = -251*g + 5283. Calculate o(21). 12 Let g(a) = -a**3 - 51*a**2 - 406*a - 237. What is g(-38)? -3581 Let y(i) = 201*i**2 + 56483*i + 538. Calculate y(-281). -24 Let l(y) = -2*y**3 - 159*y**2 + 625*y + 30917. Calculate l(-81). -25 Let m(o) = -79*o**3 - 3*o**2 + 641*o - 2. Give m(0). -2 Let c(v) = v**2 + 9074*v + 45391. Give c(-5). 46 Let c(i) = -30*i + 1521. Calculate c(47). 111 Let w(r) = -3520*r + 1066534. What is w(303)? -26 Let y(g) = 3*g**3 + 31*g**2 + 29*g + 284. Determine y(-12). -784 Let m(y) = 53208*y - 15802772. Determine m(297). 4 Let a(s) = -12*s**2 + 737*s - 4278. Calculate a(55). -43 Let k(a) = 142*a + 1695. What is k(-12)? -9 Let p(k) = 1629*k + 125181. Determine p(-77). -252 Let h(y) = 27*y**2 - 357*y - 2973. Give h(19). -9 Let z(w) = 9107*w - 1675742. What is z(184)? -54 Let o(b) = b**3 + 57*b**2 + 46*b - 541. What is o(-56)? 19 Let h(p) = -135*p**3 - 1981*p**2 - 2931*p + 94. Calculate h(-13). 3 Let z(n) = -n**2 - 44*n - 431. Determine z(-17). 28 Let k(v) = 3*v**3 + 41*v**2 - 125*v - 210. Determine k(-16). -2 Let y(i) = 2*i - 239. Calculate y(81). -77 Let s(h) = 1256*h + 705869. Calculate s(-562). -3 Let d(n) = -2*n**3 - 48*n**2 + 234*n + 371. Give d(-28). 91 Let i(x) = 10*x**3 - 67*x**2 + 171*x - 1179. Give i(7). 165 Let y(l) = -27789*l - 3529215. Give y(-127). -12 Let t(m) = -1428*m - 375566. Give t(-263). -2 Let m(x) = x**3 - x**2 - 876*x + 1419. Calculate m(0). 1419 Let q(x) = -x**3 - 2*x**2 + 9*x + 149. Calculate q(-10). 859 Let p(w) = -2847*w + 28296. Determine p(10). -174 Let g(l) = -2*l**3 - 10*l**2 + 273*l + 2229. What is g(-8)? 429 Let w(n) = -512*n + 44. Give w(0). 44 Let h(y) = -199*y + 2125. Calculate h(14). -661 Let f(h) = -37*h**2 - 303*h - 593. Calculate f(-5). -3 Let p(n) = -n**2 - 36*n + 1482. Give p(-53). 581 Let k(h) = h**3 + 14*h**2 - 47*h + 176. Calculate k(-18). -274 Let t(d) = 902589*d + 2707754. Calculate t(-3). -13 Let a(m) = -409*m**2 + 5*m - 1. Determine a(1). -405 Let v(n) = n**3 + 410*n**2 + 10683*n - 363. Calculate v(-28). 1 Let t(r) = -r**3 + 199*r**2 + 438*r - 7228. Determine t(201). 8 Let p(q) = -2*q**3 + 18*q**2 + 88*q + 45. Calculate p(14). -683 Let l(j) = -50*j**2 + 951*j + 2126. What is l(-2)? 24 Let k(a) = 1287*a - 193053. Calculate k(150). -3 Let j(c) = -c**3 + 106*c**2 + 1300*c - 1546. Give j(117). -25 Let c(y) = -y**2 + 941*y + 72977. Give c(-72). 41 Let w(s) = 15*s**3 + 3*s**2 - 81*s - 252. Give w(-3). -387 Let i(g) = 538*g - 150673. Calculate i(280). -33 Let g(p) = 58*p**3 + 13*p**2 - 124*p - 394. Determine g(-3). -1471 Let n(j) = -54391*j + 3753014. What is n(69)? 35 Let m(g) = 2*g**2 - g + 4. Determine m(-1). 7 Let b(q) = -2*q**3 + 14*q**2 + 65*q + 159. What is b(-6)? 705 Let x(f) = 8733036*f - 52398212. Calculate x(6). 4 Let o(w) = -94*w**2 - 6202*w + 131. Give o(-66). -1 Let x(a) = 14*a**2 + 1049*a + 5754. What is x(-69)? 27 Let d(m) = -2*m**2 + 258*m - 3669. Determine d(13). -653 Let f(g) = -g**3 + 10*g**2 - 463*g + 7957. Calculate f(15). -113 Let d(z) = -z**2 + 75*z + 217. What is d(0)? 217 Let i(c) = -7319*c - 7414. Calculate i(-1). -95 Let n(r) = -59*r**2 - 24*r - 9. Give n(-4). -857 Let k(z) = 3*z**3 - 567*z**2 - 16053*z + 639. What is k(214)? -3 Let g(n) = -483*n**2 - 3997*n - 1070. Calculate g(-8). -6 Let w(v) = 3*v**2 - 1534*v - 33540. Give w(-21). -3 Let b(z) = 13184*z - 39927. What is b(3)? -375 Let z(b) = -714*b**3 - 57*b**2 - 8. Give z(0). -8 Let u(s) = 2*s**3 - 444*s**2 + 1353*s - 54. Give u(3). 63 Let p(g) = -77*g**3 - 9319*g**2 - 238*g - 232. Calculate p(-121). -716 Let z(h) = 157679*h - 1103719. Give z(7). 34 Let u(c) = -544*c + 43492. Determine u(80). -28 Let a(g) = 7136*g + 813450. Determine a(-114). -54 Let o(t) = -13394*t - 2009037. Give o(-150). 63 Let x(m) = -1281497*m + 10251970. Calculate x(8). -6 Let o(k) = -279874*k - 6716981. Determine o(-24). -5 Let a(r) = 6*r**3 + 73*r**2 - 159*r - 519. Give a(-13). 703 Let a(u) = -423*u - 10772. Give a(-25). -197 Let v(b) = -7*b**2 + 326*b - 3783. Determine v(24). 9 Let m(v) = -3513*v + 24996. Determine m(7). 405 Let p(o) = -o**2 - 194*o - 9347. Calculate p(-103). 26 Let p(g) = 15*g**2 + 398*g + 1648. What is p(-20)? -312 Let b(p) = p**2 - 79669*p + 11769121. Give b(148). 13 Let v(k) = 58*k**2 + 2228*k - 134194. Determine v(-71). -4 Let t(v) = -2*v**3 - 36*v**2 + 4*v - 1516. What is t(-20)? 4 Let p(l) = -68570*l - 3017084. Calculate p(-44). -4 Let g(t) = t**3 - 72*t**2 - 26958*t - 3936. Give g(-132). 24 Let r(c) = 2*c**3 + 33*c**2 + 78*c + 492. Calculate r(-16). -500 Let s(h) = -4*h**2 + 15922*h - 5517798. Determine s(3597). 0 Let b(h) = h**2 - 79*h - 1. Give b(78). -79 Let h(c) = -c**2 - 32557*c + 358244. Determine h(11). -4 Let a(n) = -154*n + 380. Calculate a(6). -544 Let b(r) = -r**2 - 289*r - 20621. Give b(-128). -13 Let j(s) = s**2 + 6062*s + 235167. What is j(-39)? 270 Let f(a) = -a**3 + 53*a**2 - 453*a + 39673. What is f(57)? 856 Let g(r) = -35*r**2 + 5048*r + 3904. What is g(145)? -11 Let z(o) = o**3 + 44*o**2 - 31*o + 520. Determine z(-46). -2286 Let j(p) = 1094*p - 166280. Calculate j(152). 8 Let y(v) = 8045*v + 2204329. What is y(-274)? -1 Let y(i) = -i**2 - 43*i + 300. Give
{ "pile_set_name": "DM Mathematics" }
12 - 10 = 0, -5*n - 3*z + 2 = 0 for n. -2 Solve 5*m + 4*b - 8 = 3*m, -b = 3*m - 2 for m. 0 Solve 6*d - 5*d - 7 = -2*w, 4*d - 18 = -3*w for d. 3 Solve -5*k - 5*r = 5 + 25, 5*r + 24 = -2*k for k. -2 Solve 2*o + 3*u = 0, o - u = -5*u - 5 for o. 3 Solve -4*a + 3 = -5*d + 25, -3*d = -4*a - 18 for a. -3 Solve 5*z - 25 = 0, -2*t = -63*z + 68*z - 25 for t. 0 Solve 5*y - 4*u = -2*u + 13, u = 3*y - 8 for y. 3 Solve -8*v = -5*h - 3*v, 3*v = h + 10 for h. 5 Solve 3*f = n + 3*n + 3, -3 = f for n. -3 Solve -2*y + 2*v + 12 = 0, -y + 8*v - 9*v - 2 = 0 for y. 2 Solve 5 = -3*n + 5*u, -4*n + 20*u = 15*u + 5 for n. 0 Solve 4*i + 14 = -2*g, g - 2*i - 3 = 6*g for g. 1 Solve -5*o - a + 15 = 19, -5*o = -3*a + 8 for o. -1 Solve 3*s - 4*c + 46 - 65 = 0, -c = 4*s for s. 1 Solve 2*q = -3*k - 1, -2212*q + 7 = 3*k - 2214*q for k. 1 Solve -4*q + 2*y = q, -3*q = 3*y for q. 0 Solve 4*p + 4*g + 24 = -p, 4*p = 2*g - 14 for p. -4 Solve -3*s = 4*g - 13, -g + 21 = 3*g - 5*s for g. 4 Solve -3*t - 2*v = 1, 5*t + 4 = -5*v + 9 for t. -3 Solve -3*v - 4*f = -0*v - 5, -4*f = 4*v for v. -5 Solve 5 = g - 2*y - y, -1 = -2*g - 3*y for g. 2 Solve 4*s - 3*v - 1 = 0, 2*s - 1891*v = -1892*v + 3 for s. 1 Solve -5*v = -r - 10, 3*r - 4*v + 18 = -1 for r. -5 Solve -2*t = 0, -5*q - 8*t + 10*t = 25 for q. -5 Solve -6*v + 1 = -5*v, -5*v + 2 = 3*y for y. -1 Solve p = 4*d - 7, 11*d - 2 = 2*p + 7*d for p. 5 Solve 3*y - 12 = -y - 4*k, 2*y + 12 = 4*k for y. 0 Solve -x - 11 = -4*v - 2, 1 = -2*v - 5*x for v. 2 Solve -2*u - 12 = -2, 5*u + 40 = 5*t for t. 3 Solve -4*n - 8 = 0, 0 = -10*u + 6*u - 5*n + 14 for u. 6 Solve 5*b = -3*c + 1, -c + 5 = 94*b - 97*b for c. 2 Solve -2*r - 2*p - 6 = 0, -5*r - 3*p = 20 - 15 for r. 2 Solve -2*t - a = 11, -3*t + 13 = -4*t - 2*a for t. -3 Solve 2*l + 1 = 5*f, 0 = 5*l - 10*l - 15 for f. -1 Solve -2*y - 14*c + 11*c + 6 = 0, 6 = 2*y + 2*c for y. 3 Solve -10 = 5*q + 5*g, 10*g = 4*q + 7*g + 15 for q. -3 Solve -3*o + 0*k - 2*k = 23, 0 = -4*o + 5*k for o. -5 Solve -4*m = 5*t + 6, 0 = 2*m - 5*t - t + 20 for m. -4 Solve 5*w - 4*n + 10 = 0, 3*w + 6 = -3*n + n for w. -2 Solve 0 = -0*t - 4*t + 12, -3*o - 2*t = 0 for o. -2 Solve -4*a - x + 19 = 0, -48 = 5*a - 3*x - 42 for a. 3 Solve -3*p - 8 = -2*k, 9*p - 14 = 3*k + 11*p for k. -2 Solve 2*z - 4*z - 3 = 3*p, -2*p = 5*z - 9 for z. 3 Solve 5*s - 6 = i, -158*s - 8 = -4*i - 154*s for i. 4 Solve -3*b = j + 5, 0*j = 4*j - 3*b - 25 for j. 4 Solve -5*u + 8 = -2*q, -15 - 5 = u + 5*q for u. 0 Solve -4*n - 3*f = 2, 3*f = 21*n - 23*n - 10 for n. 4 Solve 25 = -5*j, -q + 3*j - 2*j + 7 = 0 for q. 2 Solve 9 = -3*v, -6*n + 5*v + 9 = -3*n for n. -2 Solve -5*n - 5*i = 25, -3*i - i = 4 for n. -4 Solve 0 = 4*u - 4*w, -u = -0*u + 5*w - 18 for u. 3 Solve -3*s = 2*r + 2, 6 = -3*s + r - 2 for s. -2 Solve 5*u = -2*z + 14 - 2, -u + 3*z = -16 for u. 4 Solve d - v = -3, -5*v = -19 - 1 for d. 1 Solve -r + 2*d = 8, 15*r - 5*d + 5 = 20*r for r. -2 Solve -2*f + f = -4*j - 1, -2*j - f = 5 for j. -1 Solve -p + g + 2 = 0, 6 = 16*g - 14*g for p. 5 Solve 0 = 2*v - h - 10, -5*v + 3*h + 2*h = -35 for v. 3 Solve 2*m = 4*g + 3 + 7, 0 = -g - 2*m for g. -2 Solve 5*x - 4 = 2*m, 87*m - 88*m - 5*x + 13 = 0 for m. 3 Solve 2*x - 6 = -4*t, 24 = 5*t - 4*t + 5*x for t. -1 Solve 1 = n + 3*y, n - 56*y + 55*y = -7 for n. -5 Solve -5*k - x = -6*x + 5, -2*k + 5*x + 4 = 0 for k. -3 Solve 0 = 5*h - 2*q - 30, -2*h + 5*q + 35 = 2 for h. 4 Solve 5*s - 91 + 72 = -4*d, 2*d = 2*s - 4 for s. 3 Solve 2*s + 14 = 3*r, -5*s = r + r + 16 for s. -4 Solve 0 = c + 3, -c + 3 = -4*x - 10 for x. -4 Solve 5*l + 10 = 5*j, 0 = 5*l - 5*j + 4*j + 6 for l. -1 Solve 4*k + 2*l - 26 = 0, 0 = 3*k + 5*l - 17 - 20 for k. 4 Solve z + 4 - 14 = -5*h, 3*z = 0 for h. 2 Solve -n = 4*n - 4*a + 8, n + 6 = 3*a for n. 0 Solve 5*f = -3*j + 6*f - 14, -3*f + 6 = 0 for j. -4 Solve c = -4*l - 6, -3*c - 6 = -l - 7*c for l. -2 Solve -3 = b - 2*w, 50*w - 53*w = -5*b - 1 for b. 1 Solve -5*g + 2*u + 15 = 0, 4*u = -4*g + 2*u + 30 for g. 5 Solve 2*q - 5*q - r = -17, 2*q - 13 = -r for q. 4 Solve -o - 4*x - 8 = 1, -2*x = -3*o - 13 for o. -5 Solve 0 = 4*g + 3*i + 19, 5*g - i = -5 - 14 for g. -4 Solve 0 = -5*k + 5*l - 30, -3*k - 10 = -0*k - l for k. -2 Solve 2*m + 3*w + 12 = -w, 3*w = -m - 7 for m. -4 Solve 3*j = 2*o - 2*j - 3, -3 = 3*j for o. -1 Solve 5*n + 2*k = 3 - 6, -2*n - 3*k = 10 for n. 1 Solve -l - 6 = -4*m, -5*m - 5 = -l + 6*l for l. -2 Solve c - 5*a = 0, -4*c + 4*a + 0*a = 0 for c. 0 Solve -q + 0*q - 2*a = 3, -2*q = 3*a + 5 for q. -1 Solve 0*w - 4*w - 5*j = -6, 3*w = 4*j - 11 for w. -1 Solve -2*f = -h - 4, -4*h + 3 = -f + 5 for f. 2 Solve -t = 4*w + t, 0 = -3*t - 12 for w. 2 Solve -3*k = -p - 2, -2*p = p - 12 for k. 2 Solve -16 = 4*h, -4*h + 8 = 2*y + 24 for y. 0 Solve v + 4*i - 20 = 0, -33*v + 30*v + 20 = 2*i for v. 4 Solve 3*r + 3 = -4*m + m, 3*m + 18 = 2*r for m. -4 Solve 5 - 9 = 4*d, 4*d = -5*x - 14 for x. -2 Solve -4*t = y + 18, 2*t = -0*y - 4*y - 16 for t. -4 Solve b - 3 = 3*v, -9*v - b - 4 = -5*v for v. -1 Solve 3*b - 13 = -5*s, -10*s = -2*b - 13*s + 7 for b. -4 Solve -2*o + 5*i + 30 = 0, -o + 14 = -3*i - 3 for o. 5 Solve -4*v + 10*p - 12*p = 14, v + 14 = -4*p for v. -2 Solve -12*o = 2*v - 15*o, -2*v + 16 = 5*o for v. 3 Solve 0 = 4*y - 4*i + 8, -2*i + 3*i = 3*y + 8 for y. -3 Solve -5 = -4*h - m, -3*h + 3*m - 15 = -6*h for h. 0 Solve z = 0, 4*r - 16 = -0*z + z for r. 4 Solve 36*q = -5*u + 37*q - 7, -3*u - 2*q = 12 for u. -2 Solve 3*o - 3*b = -b - 16, -b + 14 = -3*o for o. -4 Solve 2*x + 9 = -3*v + 34, 5*v = -5*x + 50 for x. 5 Solve 13 = 2*c + 6*r - r, -r = -2*c - 5 for c. -1 Solve 2*y + 3*g = -6, -8 = -3*y - 2*y + 4*g for y. 0 Solve 5*i + 21 = 2*f, 14*f = 2*i + 10*f + 2 for i. -5 Solve 0 = s + 4*u - 4, -14*s + 13*s = 3*u - 2 for s. -4 Solve 3*p + 1 = -t, 4*p - t + 1 = -2*t for p. 0 Solve 2*v + 4*z + 2 = 0, 3*z = -2*v - v for v. 1 Solve 4*t + 5 - 14 = 5*x, 4*x = -3*t - 1 for x. -1 Solve -2*a - 20 = 5*t, a = 3*a + 10 for t. -2 Solve 3*a - 15 = -5*t + 8*a, -4*a - 12 = 5*t for t. 0 Solve -3*i + 5*b + 3 = 0, 29 = -5*i + 18*b - 21*b for i. -4 Solve 2*j + 2*x - 4 = 0, 0 = -2*j + 3*x - 7*x for j. 4 Solve 32*h - 5 = 33*h + 3*l, -h + 10 = -2*l for h. 4 Solve -11 + 0 = 3*l - 2*t, -2*l + 4*t - 18 = 0 for l. -1 Solve 0 = 5*d - 10*d - 3*z - 9, 0 = -5*d + z + 3 for d. 0 Solve 2*t + 4 = -b + 2, -t + 2*b - 1 = 0 for t. -1 Solve 0 = -4*g - 10*a + 5*a - 8, -2*g - 4 = 4*a for g. -2 Solve 4*q + 16 = 3*v, 0 = v + v - 4*q - 12 for v. 4 Solve 0 = 5*w - 3*v - 7, 5*v + 16 = 4*w - 0*v for w. -1 Solve -q + 0*q = -3*i + 19, -3*i + 2*q = -23 for i. 5 Solve -9 = 3*z + 3*f, -z + 32*f - 7 = 31*f for z. -5 Solve 3*r - 21 = 3*y - 15, -r = -3*y - 2 for r. 2 Solve -2*j + 5*q = 30 - 9, 3*q = -j + 6 for j. -3 Solve a + t + 15 = -4*t, -4*a + 6 = -2*t for a. 0 Solve 2*n - q + 14 = -n, n + q - 2 = 0 for n. -3 Solve -2*k + 5*j = -10, -5*k - 13 = 31*j - 34*j for k. -5 Solve -5 = 5*z, 5*s + 5*z = -4 - 11 for s. -2 Solve -2*i = -24 + 22, 5 = 4*w - 3*i for w. 2 Solve -2*v - 2*l - 16 = 0, -3*l - 24 = v + 2*l for v. -4 Solve -4*n - 4 = 4*v - 16, 13 = 4*n + 5*v for n. 2 Solve 4*y = -4*r + 16, -6*y = -2*r - 2*y + 14 for r. 5 Solve -x - 3*u = 13, 5*x = -132*u + 128*u - 32 for x. -4 Solve -2*t = 4*z, 0 = -4*z + 4*t + 19 + 5 for z. 2 Solve -2*o - 14 = 3*n, 3*o = -o + n for o. -1 Solve -2*b + n = -8, 3*b - 30*n - 12 = -34*n for b. 4 Solve 0 = -3*t - 2*q + 6, 0 = 12*t - 9*t - 3*q - 21 for t. 4 Solve -o = -2*t + 14, 21*o - 25*o = 16 for t. 5 Solve 10 = -2*b + 2*d, 5 - 13 = -2*b - 4*d for b. -2 Solve 3*u + 11 - 2 = 3*w, -12 = -4*w + 5*u for w. 3 Solve 25 = -5*h - 5*o, 4*h - 4 = o + o for h. -1 Solve 12 = -3*v - 3*a, -4*a + 4 = -5*v - 5*a for v. 0 Solve -4*s - 4*d = -d + 6, s - 3*d = -9 for s. -3 Solve -4*j - 5*r = -15 + 44, -2*r = -5*j + 5 for j. -1 Solve 0 = -a - 5*j - 10 - 11, -11 = -a + 3*j for a. -1 Solve -3*c - 3*d = 9, 3*c + 3*d + 9 = -c for c. 0 Solve i - 2*w = 202 - 203, 2*w - 6 = 0 for i. 5 Solve 2*g - h + 1 = 0, -7*h + 10*h = 4*g - 1 for g. -2 Solve -2*r + 20 = -5*i, -5*r + 2*i = 31 - 39 for r. 0 Solve -2*w + 13*h - 2 = 15*h, 3*w - 5*h = 37 for w. 4 Solve -3*g - 2*y + 1 + 1 = 0, 3*g - 2*y = 22 for g. 4 Solve -3*y - 3*f = 0, 2*f = 3*y + f for y. 0 Solve 5*k - 2*m - 19 = 0, -m - 3 = -2*k + 4 for k. 5 Solve 0*l - 26 = -4*v - 3*l, 3*l - 21 = -3*v for v. 5 Solve r + 0 - 1 = 3*o, o - 4*
{ "pile_set_name": "DM Mathematics" }
7*s**2 + 386*s. 27*s**2 Collect the terms in 2*k**2 + 3*k - 6*k**2 - 6*k**2. -10*k**2 + 3*k Collect the terms in 98 - 3*f**2 + 2*f**3 - 2*f**2 + 5*f**2. 2*f**3 + 98 Collect the terms in 15*z**2 - 16566 + 16566. 15*z**2 Collect the terms in 4*b**2 - 6*b**2 - 4*b**2 + 10*b**2. 4*b**2 Collect the terms in -16*i**3 - 22*i**3 + 34*i**3. -4*i**3 Collect the terms in -4*n + 0*n + 3*n + 8*n. 7*n Collect the terms in 0 - 666928*z**3 + 666930*z**3 + 0. 2*z**3 Collect the terms in -13*x - 13*x - 11*x - 11*x + 47*x. -x Collect the terms in -18*g**3 - 16*g**3 - 4*g**3. -38*g**3 Collect the terms in -2*c**3 + c**3 + c - c. -c**3 Collect the terms in 21*o + 8 - 3 - 5. 21*o Collect the terms in 7*k + 84*k - 15*k + 30*k. 106*k Collect the terms in 0 - 2*i + 3 + 8. -2*i + 11 Collect the terms in -3*h + 7*h - 14*h + 0*h + 5*h. -5*h Collect the terms in 69*t**2 - 40*t**2 + 2*t**3 - 29*t**2. 2*t**3 Collect the terms in -2 - 1709*b + 2. -1709*b Collect the terms in 8794 - 8794 - 5*a. -5*a Collect the terms in 105*z**3 + 1 - 49*z**3 - 53*z**3. 3*z**3 + 1 Collect the terms in -280 - 2*z**2 + 280. -2*z**2 Collect the terms in 2*m**2 + 8*m**2 + 8*m**2 - 7*m**2. 11*m**2 Collect the terms in 159*r - 487*r + 164*r + 161*r. -3*r Collect the terms in c**2 - 122*c + 122*c. c**2 Collect the terms in -797*n**3 + 18*n**2 - 18*n**2. -797*n**3 Collect the terms in -z**3 + 4*z**3 + 0*z**3 + 2*z**3. 5*z**3 Collect the terms in -7*l**3 + 2*l**2 - 2*l**2 + 14*l**3. 7*l**3 Collect the terms in -7*n**3 + 9204*n**2 - 9204*n**2. -7*n**3 Collect the terms in -3*u + 3*u + 2*u**2 - 1. 2*u**2 - 1 Collect the terms in 9652 - 9652 - 3*s. -3*s Collect the terms in 204*y**3 - 121*y**3 + 218*y**3. 301*y**3 Collect the terms in -4*u - 4*u + 3 - u. -9*u + 3 Collect the terms in -13*w**3 - 13*w**3 - 10*w**3 - 7*w**3. -43*w**3 Collect the terms in -4*u**2 - 3713*u + 3713*u. -4*u**2 Collect the terms in -25*j**2 + 7*j**2 + 22*j**2. 4*j**2 Collect the terms in 676*o**2 - 676*o**2 - 6*o**3 + 17*o**3. 11*o**3 Collect the terms in -11032 + 5*n + 11032. 5*n Collect the terms in -2*l - 9 + 2*l - 3*l**2. -3*l**2 - 9 Collect the terms in 0 - k**3 + 4*k**3 + 0. 3*k**3 Collect the terms in 3*y**2 + 4*y**2 - 7*y**2 + 6*y**2. 6*y**2 Collect the terms in 883*q**2 + 21 - 21 - 882*q**2. q**2 Collect the terms in 0*h - h + 19*h. 18*h Collect the terms in -12*c**3 + 60119 - 60119. -12*c**3 Collect the terms in 84*u + 4*u + 26*u. 114*u Collect the terms in -13*h + 8*h + 10*h + 2*h. 7*h Collect the terms in 222*g + 219*g - 442*g. -g Collect the terms in 25*s**2 + 37*s**2 - 60*s**2. 2*s**2 Collect the terms in 54*p - 54*p + 7*p**2. 7*p**2 Collect the terms in 11*i + 2 + 0 - 5. 11*i - 3 Collect the terms in 151*v**3 - 72*v**3 - 76*v**3. 3*v**3 Collect the terms in 0*l + 9*l - 17*l. -8*l Collect the terms in 456*n - n**3 + 446*n - 902*n. -n**3 Collect the terms in 21 - m - 47 + 26. -m Collect the terms in 1432 - u**2 - 1432 + 5*u**2. 4*u**2 Collect the terms in 0*b + 0*b + 2835*b**2 - b**3 - 2835*b**2. -b**3 Collect the terms in 1943*v**2 - 1960*v**2 - 1 + 1. -17*v**2 Collect the terms in v - 2*v - 119 + 137. -v + 18 Collect the terms in 894*j**2 - 440*j**2 - 450*j**2. 4*j**2 Collect the terms in -12*p - 10*p - 3*p + 28*p. 3*p Collect the terms in p + p - 7*p - 3*p. -8*p Collect the terms in -4*y**2 + 234*y**2 + 23*y**2. 253*y**2 Collect the terms in 158*m**3 - 162*m**3 + 3*m**2 + 9*m**2. -4*m**3 + 12*m**2 Collect the terms in -1217*x - 9 + 9. -1217*x Collect the terms in -71*k**2 - 1157 + 1157 + 16*k**2. -55*k**2 Collect the terms in -12*g**2 - 35*g**3 + 14*g**2 - 2*g**2 + 2. -35*g**3 + 2 Collect the terms in 27*o**2 - 13*o**2 + 8*o**2. 22*o**2 Collect the terms in -6 - a + 32 - 26. -a Collect the terms in 4 - p + 12*p - 5 - 1. 11*p - 2 Collect the terms in -2*m + 3*m + 6*m**3 + 18*m. 6*m**3 + 19*m Collect the terms in -17*n**3 - 35*n**3 - 18*n**3 - 15*n**3 + 83*n**3. -2*n**3 Collect the terms in 344*g**3 - 152*g**3 - 194*g**3. -2*g**3 Collect the terms in -237*u**3 + 484*u**3 - 248*u**3. -u**3 Collect the terms in -1 - 12*o**3 + 1. -12*o**3 Collect the terms in 243 - 3*l**3 - 243 + 0*l**3. -3*l**3 Collect the terms in 11*u + 525 - 525. 11*u Collect the terms in -2*d**3 + 5*d**3 - 7*d**3. -4*d**3 Collect the terms in -62*i - 70*i**2 + 62*i. -70*i**2 Collect the terms in -3 - v**2 + 3 + 9*v**2. 8*v**2 Collect the terms in -7*k**2 + 57044*k - 57044*k + 8*k**2. k**2 Collect the terms in 3*i - 17*i + 9*i. -5*i Collect the terms in -3*n + 1009*n**2 + 5*n - 2*n - 1008*n**2. n**2 Collect the terms in 34 - 34 + 127*i. 127*i Collect the terms in -10*i**3 - 11*i**3 + 11*i**3. -10*i**3 Collect the terms in -9*d - 13*d + 4*d. -18*d Collect the terms in -11*q**2 + 14*q**2 + 9*q**2. 12*q**2 Collect the terms in -1961*t + 980*t - 12*t**2 + 981*t. -12*t**2 Collect the terms in -23*j + j - 16*j + 1. -38*j + 1 Collect the terms in -4*q**2 - 7 + 6 + 6*q**2 + 1. 2*q**2 Collect the terms in 5*a**2 - 319544 + 319544. 5*a**2 Collect the terms in 0*z - z - 42013753 + 42013753. -z Collect the terms in -74*g**2 + 36*g**2 + 39*g**2. g**2 Collect the terms in -59*g + 4*g**2 - 58*g + 10*g**2 + 117*g. 14*g**2 Collect the terms in 61*p - 76*p**2 + 31*p**2 - 62*p. -45*p**2 - p Collect the terms in -27*c - 57*c**3 + 27*c. -57*c**3 Collect the terms in 11*h + 1 + 0 - 3 + 2. 11*h Collect the terms in -280*f**3 + 143*f**3 + 143*f**3. 6*f**3 Collect the terms in -5*d**2 - 533*d**3 + 14*d**2 + 535*d**3. 2*d**3 + 9*d**2 Collect the terms in -9*x**3 + 113*x**2 - 113*x**2 + 16*x**3 - 6*x**3. x**3 Collect the terms in 44294 + 2*g - 44294. 2*g Collect the terms in -c + 9*c - 8*c + 3*c. 3*c Collect the terms in -17*o**3 - 2*o + 2*o. -17*o**3 Collect the terms in -1054*x**2 + 1054*x**2 + 0*x**3 - 6*x**3. -6*x**3 Collect the terms in -5023*c + 2510*c + 2511*c. -2*c Collect the terms in 68*i**3 - 6*i + 6*i. 68*i**3 Collect the terms in u**3 - 8*u**3 - 17*u**3. -24*u**3 Collect the terms in -3*k + 13*k - 7*k. 3*k Collect the terms in -26 + 26 + 5*g**2. 5*g**2 Collect the terms in -4*a + 300525 - 300525. -4*a Collect the terms in -2*a**3 + 5*a**3 + a**3 - a**3. 3*a**3 Collect the terms in j + 19745*j**2 - 19745*j**2 - j - 3*j**3. -3*j**3 Collect the terms in -9*g**2 + 0*g**3 + 2*g**3 + 2*g**2 - g**2. 2*g**3 - 8*g**2 Collect the terms in -h**3 + 207029*h**2 - 207029*h**2 - h**3. -2*h**3 Collect the terms in 6*l**2 - 10*l**2 + 5*l**2 + 0*l**2. l**2 Collect the terms in 22*c + 45*c - 26*c. 41*c Collect the terms in -55*c**2 + 22*c**2 + 25*c**2. -8*c**2 Collect the terms in -1 + 379*d - 394*d + 1. -15*d Collect the terms in 827*q - 5 + 5 - 222*q. 605*q Collect the terms in 18*a + 13*a - 11*a + 4*a. 24*a Collect the terms in 2*q**2 + 22*q - 22*q. 2*q**2 Collect the terms in 221 + 483*h**2 - 221. 483*h**2 Collect the terms in -90*p**3 + 199*p**3 - 96*p**3. 13*p**3 Collect the terms in 5 - b**2 - 5 + 13. -b**2 + 13 Collect the terms in 1407 + 7*c**3 + 1410 + 1413 - 4230. 7*c**3 Collect the terms in 5*o**2 - 35*o**3 - 2*o**2 - 2*o**2 + 0*o**3. -35*o**3 + o**2 Collect the terms in -3*r**2 + 10*r**3 + 0*r**2 + 2*r**3 + 13*r**3. 25*r**3 - 3*r**2 Collect the terms in -14*n**3 + 6*n**3 + 7*n**3 + 8*n**3. 7*n**3 Collect the terms in -2*h - 167 - 2*h + 5*h + 167. h Collect the terms in 9*y**3 - 6*y**3 - 4*y**3. -y**3 Collect the terms in 9*m**2 + 4*m**2 - 47*m**2 - 29*m**2. -63*m**2 Collect the terms in 34*c**3 - 21*c**3 - 19*c**3. -6*c**3 Collect the terms in -84 + 84 - 3*g**3. -3*g**3 Collect the terms in -751*s + 396*s + 372*s. 17*s Collect the terms in -43*w**2 + 11*w**2 + 27*w**2. -5*w**2 Collect the terms in 193*d**2 - 3 + 48*d**2 + 189*d**2. 430*d**2 - 3 Collect the terms in 5*a**3 - a**3 - 11*a**3. -7*a**3 Collect the terms in 12*k**2 - 11*k**2 + 3*k**2. 4*k**2 Collect the terms in 4*j**2 + 4*j**2 + 0*j**2 + 15*j**2. 23*j**2 Collect the terms in -266 - 9*s**2 + 266 + 7*s**2. -2*s**2 Collect the terms in 18*s + 10 - 10 - 16*s. 2*s Collect the terms in -49*j**2 + 7*j**2 + 18*j**2 + 16*j**2. -8*j**2 Collect the terms in -3*x**2 - 6 - 13 + 19. -3*x**2 Collect the terms in -10*z**3 - 142*z - z**3 + 142*z. -11*z**3 Collect the terms in 6*h + 24*h + 8*h - 4*h. 34*h Collect the terms in 34*j + 30*j + 68*j. 132*j Collect the terms in -2327 + 2327 + 15*z**2. 15*z**2 Collect the ter
{ "pile_set_name": "DM Mathematics" }
. 5, 17 Suppose 12*q - 23*q = -7436. List the prime factors of q. 2, 13 Suppose a = -3*a + 1060. Suppose 11*v = 32 + a. List the prime factors of v. 3 Let u = 1032 - 725. What are the prime factors of u? 307 Let l = -90 - -94. Suppose -4*m - l*b + 4 = -484, -m = -2*b - 137. List the prime factors of m. 127 Suppose -32*c + 31*c + k + 2464 = 0, 4*c - 9858 = 2*k. What are the prime factors of c? 5, 17, 29 Let z = -746 + 1521. What are the prime factors of z? 5, 31 Let k = 6635 + -4645. List the prime factors of k. 2, 5, 199 Suppose p = 1138 + 149. List the prime factors of p. 3, 11, 13 Let y be -14*(-7)/((-49)/(-2)). Suppose -129 = -u + y*r, -2*r + 16 = 2*u - 252. What are the prime factors of u? 7, 19 Suppose 4*v = 3*n + 6231, 3*n + 8761 - 973 = 5*v. List the prime factors of v. 3, 173 Let r = -3635 + -1925. What are the prime factors of 2/7 + r/(-140)? 2, 5 Let p(j) = -103*j + 3. Let q be p(-1). Let i = q + -34. What are the prime factors of 5/(5/(-1)) + i? 71 Let w = -16 - -2. Let r = 22 + w. Suppose 146 = -r*v + 10*v. List the prime factors of v. 73 Suppose 17 + 1 = 9*m. Suppose x + 123 = 5*d - 474, m*x = -d + 126. List the prime factors of d. 2, 3, 5 Let q be 9*(4 - (-4 - 0)). Suppose 0 = 5*z - q - 113. What are the prime factors of z? 37 Suppose -9310 = -6*g + 254. List the prime factors of g. 2, 797 Let v(c) = 4*c + 17. Let u be v(-6). Let r(h) = h**2 + 3*h + 4. What are the prime factors of r(u)? 2 Suppose 4*j + 30 = -2*g, -5*g + 2*j = j + 31. Suppose 21*z - 98 - 280 = 0. Let x = g + z. What are the prime factors of x? 11 Let x(f) = 2*f + 7. Suppose 0 = 2*k + 2 + 14. Let l be x(k). Let u = 15 + l. List the prime factors of u. 2, 3 Let p(u) = 29*u - 62. What are the prime factors of p(17)? 431 Let s be 2 + (0 + 4 - (-12 - -18)). Let q be (-6)/21 + (-30)/(-7). Suppose l + 130 = 4*a + a, -q*a - 5*l + 75 = s. List the prime factors of a. 5 Suppose 817 + 663 = 5*w. Suppose -4*l = t - 269, w = 4*l - 5*t + 9. What are the prime factors of l? 2, 17 Suppose -8*f + 25 = -3*f. Suppose j + 24 = 4*c - j, -3*j = -2*c + 20. Suppose -2*y - y = -f*s + 32, 4*y = c*s - 24. List the prime factors of s. 7 Let a(l) = l**2 - 14*l + 8. Let t be a(14). Suppose 4 - t = -4*q. Suppose -q - 5 = -2*c. What are the prime factors of c? 3 List the prime factors of (1 - -34)*-3*20/(-4). 3, 5, 7 Let j(o) = o**2 - 6*o + 21. Let r be j(4). Suppose 0 = 3*i - 113 - r. What are the prime factors of i? 2, 3, 7 Let y(n) = 36*n**2 - 146*n - 574. What are the prime factors of y(-4)? 2, 293 Let p(m) = -3*m**3 + 2*m**2 - 5*m - 10. Let q be p(5). Let u = q + 538. What are the prime factors of u? 2, 89 List the prime factors of 60/45*495/3. 2, 5, 11 Suppose -5*g = 5 - 15. Let y be -3 - 186/(-4 + g). Let a = -61 + y. What are the prime factors of a? 29 Let q(g) = -g**2 + 7*g + 1. Let u(t) = t**3 - 10*t**2 + 11*t - 13. Let p be u(9). Let n be q(p). Suppose 2*c = c + n. What are the prime factors of c? 11 Let y(c) = 5*c + 85. List the prime factors of y(-13). 2, 5 Let x = 7 - 7. Suppose 5*h - 169 = -4*v - 19, 3*h + 2*v = 90. Suppose x = -0*u - 4*u - d + 109, -h = -u - 3*d. List the prime factors of u. 3 Suppose -6 = -5*b + 3*l, b = -b + 3*l - 3. Let u(m) = 3*m**3 - 5*m**2 + 3*m - 4. List the prime factors of u(b). 41 Suppose -6*l + 262 = -4*l. Suppose -l = -2*i + 11. What are the prime factors of i? 71 Let t(d) = 7*d + 19. Suppose 0 = -9*c + 5*c + 32. Let a be t(c). List the prime factors of a/30*136/10. 2, 17 Let o be 1 - 15/17 - (-763)/17. Suppose 0 = 4*m - 2*m - 8, 5*c = 5*m + o. What are the prime factors of c? 13 Suppose 4 = -3*d - 2. Let k be (-320)/(-6) - d/(-6). Suppose 0 = 3*n - q - 42, 5*n - 18 - k = 2*q. List the prime factors of n. 13 Let c(n) = -4*n - 1. Let g be -11 + 9 - (-6 - 0). Let x = -2 - g. List the prime factors of c(x). 23 Let x(j) = -4*j - 13. Let b(f) = 10*f + 32. Suppose 0*c = -2*c - 24. Let a(m) = c*x(m) - 5*b(m). What are the prime factors of a(-7)? 2, 5 Let o(y) = y**2 + 66*y - 16. List the prime factors of o(14). 2, 3, 23 Let k(r) = 2*r**3 + 11*r**2 - 8*r + 12. Let u = 12 - 13. Let i(l) = l**3 + l**2. Let x(d) = u*k(d) + i(d). What are the prime factors of x(-11)? 3, 7 Suppose -21 = 2*z - 3*g, -z + 5*g - 38 = 9*g. Let a(t) = -t**3 - 2*t**2 + 4*t - 2. Let i be a(3). Let h = z - i. List the prime factors of h. 17 Let m(d) = -15*d**3 + 2*d**2 + d. Let c be m(-1). Let t(l) = -l**2 + 2*l - 2. Let r be t(4). Let b = c + r. What are the prime factors of b? 2, 3 Let l = -181 + 3732. What are the prime factors of l? 53, 67 Let f = -19 + 23. Suppose -16 = -4*m - 5*j, 5*m - f*j = -2*j + 20. List the prime factors of m. 2 Suppose -22*v + 20*v + 1950 = 0. List the prime factors of v. 3, 5, 13 Let o = 22 - 22. Suppose -4*i + o*i = 1848. What are the prime factors of (i/28)/((-1)/2)? 3, 11 List the prime factors of ((-2562)/49)/((-3)/147). 2, 3, 7, 61 Let v(o) = -o**2 - 18*o - 4. Let f be v(-17). Suppose 8*c = f*c - 650. What are the prime factors of c? 2, 5, 13 Let s = 1 + 10. Suppose 4*o = 20, 0*z - z + s = 2*o. What are the prime factors of (39/(-12))/(z/(-4))? 13 Let l = -6 + 6. Suppose l = 10*k - 7*k. Suppose 5*o + 2*c - 92 = k, 0*c + 52 = 2*o - 3*c. What are the prime factors of o? 2, 5 Suppose -2*r + 2*o = 18, 0*r - 15 = 2*r - o. Suppose f - 15 = -2*y - 41, 4*f = 4*y - 92. What are the prime factors of r*2*36/f? 2, 3 Suppose 3*r + 19 + 41 = 3*l, -40 = 2*r + 4*l. Let q = r + -31. Let d = q - -78. List the prime factors of d. 3 What are the prime factors of ((-111)/148)/(3/(-652))? 163 Let c(a) = -2*a**3 - 3*a**2 + 2. Let v be (0 - -2)/(5 + -6). Let w be c(v). Suppose 3*x - x - w = 0. What are the prime factors of x? 3 Suppose -t + 3*a - 7 = -0*t, -3 = -a. Let y be t/(-8) - 14/8. What are the prime factors of ((-1)/y)/((-4)/(-48))? 2, 3 Suppose -7*h + 2576 = -0*h. What are the prime factors of h? 2, 23 Let w be (-4 - -5)/((-4)/32). What are the prime factors of (-10)/(-40) + (-390)/w? 7 Let q(i) = -15*i - 21. Let r(u) = 46*u + 62. Let p(v) = -11*q(v) - 4*r(v). What are the prime factors of p(-10)? 173 Let l(i) be the first derivative of -i**2/2 - 14*i - 9. Let d be l(-8). List the prime factors of (-182)/(-8) - d/24. 23 Let b(q) = q**2 - 7*q + 4. Let w be b(7). Suppose -5 = 3*x - w*x. What are the prime factors of x? 5 Let a be (-34)/(-4) - 15/10. Suppose -85 = 2*c - a*c. List the prime factors of c. 17 Let j = 49 + -36. Suppose j*u + 59 = 722. What are the prime factors of u? 3, 17 Let y be -30*(3 + 14/(-4)). Let g be 1*5/(y/228). Suppose -g = -2*u - 5*x, -4*x - 68 = u - 4*u. What are the prime factors of u? 2, 7 Suppose 205*b - 9922 = 194*b. What are the prime factors of b? 2, 11, 41 Let g = 10 + 10. Let t(y) = y + 3*y - 2 + g - y. What are the prime factors of t(9)? 3, 5 Let f(x) = -x**2 - 3*x + 1. Let t be f(-4). Let k(i) = -2*i**3 - 4 + 3*i**2 + 3*i + 1 + 4 - 6*i**2 + 0. What are the prime factors of k(t)? 19 Let p(r) be the first derivative of 15*r**2/2 + 4*r + 8. List the prime factors of p(2). 2, 17 Let f(o) = -o - 15. Let u be f(-17). Let t = 0 + u. List the prime factors of t. 2 Let s(f) = -6*f - 3. Let c be s(-5). Let p = 1 + c. List the prime factors of p. 2, 7 Let l be ((-3 + 4)*-97)/(-1). Suppose 4*t = 5*m + 298, 4*t - 176 = 2*m - 52. Let j = l + m. List the prime factors of j. 3, 13 Suppose -42*c - 8665 + 87121 = 0. What are the prime factors of c? 2, 467 Suppose b + 4*s = 704, b - 2*s - 975 = -265. What are the prime factors of b? 2, 3, 59 Let h(w) be the third derivative of w**6/120 - w**5/10 - w**4/3 + 2*w**3/3 + 5*w**2. Let m be h(7). What are the prime factors of ((-100)/6)/(2/m)? 5 Suppose -6*j = -4*j - 758. Let z = -175 + j. Suppose z - 59 = 5*m. List the prime factors of m. 29 Let y(w) = -w**2 + 5*w + 7. Let u(l) = l - 1. Let i(j) = 4*u(j) - y(j). List the prime factors of i(-6). 31 Suppose -391*k + 384*k = -7798. What are the prime factors of k? 2, 557 Suppose 8*y - 702 = 10*y. Let r = -182 - y. What are the prime factors of r? 13 Suppose 3 = 2*s - 7. Let t(m) = -3*m - 20. Let i be t(-8). Suppose -s*n = b + 3*b - 70, -4*n - i*b + 52 = 0. What are the prime factors of n? 2, 3 Let i be (1/(-1))/(3/(-3)). Let j(a) = 144*a**2 - a + 1. Let u be j(i). Suppose -u = p - 4*p. What are the prime factors of p? 2, 3 Suppose 0 = 3*m + 2*m - 5*j - 1430,
{ "pile_set_name": "DM Mathematics" }
/140 + 5 + -1 and -21/4. 28 Let c(d) = d**2 - 6*d + 5. Suppose 4*o + 0*m + m - 24 = 0, 28 = 4*o + 2*m. Let a be c(o). Suppose f - 2 = -a*f. What is the least common multiple of f and 18? 18 Suppose 0 = -x - x + 20. Calculate the smallest common multiple of x and 1. 10 Suppose -v = 4*v - 5. Suppose p + v = 7. Let s = p + 2. What is the smallest common multiple of s and 15? 120 Let g = 698797168/6401 + -109170. Let j = 377667/25604 + g. Calculate the common denominator of -79/6 and j. 12 What is the common denominator of -103/14 and ((-71)/7 - -3) + 3/6? 14 Suppose 0 = -5*v - 3*w + 15, 0 = -2*v + 5*v - 5*w - 9. Find the common denominator of 1 - v - (-297)/6 and 50/14 + 2 + 0. 14 Calculate the common denominator of 81/14 and ((-58)/(-21))/((-132)/77). 126 Let a = 13 + -11. Calculate the smallest common multiple of 6 and a. 6 Let t be (-3)/(3/(-2)) - -10. Suppose -p + 21 + t = 0. Calculate the common denominator of -5/7 and (2 - 0) + (-27)/p. 77 Suppose 0 = -2*b + 6*b - 72. What is the smallest common multiple of 5 + -4 + 3 + -2 and b? 18 Let s(d) = 14*d**3 + 2*d - 2. What is the smallest common multiple of s(1) and 10? 70 Let q be ((-81)/36)/(3/(-8)). Suppose 6*r = 3*r + 12. What is the least common multiple of r and (-3)/2*(-40)/q? 20 Let s = 5949 + -35815/6. Let r be ((-3)/(-828))/((-86)/86007). Let h = 3/1978 - r. Calculate the common denominator of h and s. 24 Let y(i) = -i**2 - 10*i - 8. Let l(p) = p**3 + 2*p**2 - 2*p - 3. Let s be l(-3). Let t be y(s). Find the common denominator of (-15)/(-10) + (-39)/t and -73/16. 16 Calculate the common denominator of 172/6*9/168 and -31/10. 140 Suppose -3*d + 3*b - b + 22 = 0, b - 28 = -5*d. Suppose 2*j + 16 = 5*z, 0*z - d = -4*z + 5*j. Calculate the smallest common multiple of z and 1. 4 Let r(n) = n**3 - 2*n + 2. Let l be r(-3). Let o = -11/2 - l. Calculate the common denominator of 1 + 3 + -7 + 110/(-6) and o. 6 Let l = -7975/6 - -1314. What is the common denominator of l and -19/16? 48 Let l(c) = c + 1. Suppose 5*f = n - 13 - 2, f = n - 7. Suppose -14 - 1 = -n*r. Calculate the lowest common multiple of l(7) and r. 24 What is the common denominator of -31/22 and -3 + 0 + 417/18? 66 Let k be 22561/(-40) + (-1)/(-4). Let l be 165/25*(-524)/6. Let x = l - k. Find the common denominator of 29/3 and x. 24 Let r = -51671/2 + 288582529/11170. Let b = 108337/22340 - r. What is the common denominator of b and 113/24? 120 Let b = -19 + 22. Suppose -2*p + 14 = b*k, 3*k - 35 = -5*p - k. What is the lowest common multiple of 1*-3*(-10)/3 and p? 70 Let m(f) = 22*f**2 - 10*f + 4. Let v(i) = -7*i**2 + 3*i - 1. Let s(x) = -3*m(x) - 10*v(x). What is the least common multiple of s(-2) and 18? 126 Suppose 0 = -12*l + 11*l + 8. Calculate the lowest common multiple of l and 40. 40 Let v(u) = -u**3 - 9*u**2 - 2*u - 10. Let m be v(-9). Let p be 654/m*16/2. Find the common denominator of -41/10 and (p/84)/(6/(-7)). 60 Let k(b) = -b**3 - 16*b**2 - 16*b - 6. Calculate the lowest common multiple of 1 and k(-15). 9 Let a = 1295733/5 - 260901. Let q = 497 - -1248. Let y = a + q. Calculate the common denominator of 65/4 and y. 20 Suppose 0 = -i - 5*l - 8 + 1, 5*i + 4*l = 7. What is the lowest common multiple of i and 97? 291 Let v = -3147/2 + 1543. Let t = -5/17441 + 12564/104663441. Let b = -294041/48008 + t. What is the common denominator of b and v? 8 Find the common denominator of 1/8 and 10/(-50)*(-19)/(-2). 40 Let v(k) be the first derivative of k**3/3 - 3*k**2/2 - 1. Let d be v(4). Calculate the common denominator of ((-2)/(-30))/(d/654) and 23/8. 40 Suppose 0 = -z + 2*z - 8. Let n = 14 - 8. Calculate the lowest common multiple of z and n. 24 Suppose -2*b + 2 = -2. Suppose -3*q + 2*a = -14, -a + b = 3*q - 0*a. Find the common denominator of q/((30/32)/(-5)) and 97/2. 6 Let b = 18063/8 + -2253. Let s = 1/445 - 463/89. What is the common denominator of s and b? 40 Suppose 0 = -9*r + 4*r. Let n = r - 10. Calculate the common denominator of (-4)/n*114/4 and 30. 5 Let z(d) = -7*d - 4. Let l(h) = -h. Let w(f) = -6*l(f) + z(f). Suppose 5*i - 60 = -5*n, -n - 92 = -6*n + 3*i. What is the least common multiple of w(-6) and n? 16 Suppose -3*q + 2*w - 18289 = 0, -5*q = 3*w - 7*w + 30479. Let p = 122013/20 + q. What is the common denominator of p and -13/8? 40 What is the common denominator of -11/18 and 4/16 - 143/4? 18 Suppose -2*i = -0*i + 4, -2*m - 5*i + 10 = 0. Calculate the smallest common multiple of 4 and (-5)/(m/(-6)) + 3. 12 Let y = 2/12051 + 542251/265122. Calculate the common denominator of (265/60)/(3/2) and y. 198 Suppose 3*q = -2*q. Suppose q = p + 1 - 3. Suppose 0*k - p*k + 20 = 0. Calculate the lowest common multiple of k and 3. 30 Suppose -23 = -5*j + 17. Let l = 0 + 1. Calculate the least common multiple of l and 20/(-2)*j/(-10). 8 Let a be ((-144)/5)/((-37)/20). Let f = 3001/333 - a. Let d = -2/85 - 3/17. Calculate the common denominator of f and d. 45 What is the common denominator of -15/14 and -1*381/66 + 2? 154 Let z = 3733 - 74613/20. What is the common denominator of 37/10 and z? 20 Calculate the common denominator of -6 - -8 - 2/(-12) and -14/9. 18 What is the common denominator of ((-15)/225)/(1 - (-39)/(-35)) and 73/24? 24 Suppose 0 = 4*p - 121 + 41. Find the common denominator of -3 + 1*108/p and -3/13. 65 Find the common denominator of -3/10 and (26/10)/(72/(-60)). 30 Let j be (8/2)/(4/8). Calculate the common denominator of 27/(-2)*j/(-10) and 2/(-8) + 44/(-8). 20 Let r(d) = -d**2 + 16*d + 16. Calculate the least common multiple of 4 and r(16). 16 Calculate the least common multiple of 1 and 9 - (-4)/(-8)*0. 9 Let q(j) = 12*j - 4. What is the smallest common multiple of q(2) and 6? 60 Let s(z) = -15*z. Let n be s(-1). Suppose -18 = -4*f - 2*t, t - 2*t = 5*f - n. Calculate the common denominator of ((-262)/(-12) + 2)/f and 89/18. 36 Calculate the common denominator of -51/16 and 1110/(-20)*(-2)/(-48). 16 What is the common denominator of -49/12 and 2*(-2 - (-214)/48)? 12 Let p be (-2)/3 + 2477/(-282). Let g = p - -29/47. Calculate the common denominator of g and 28/72 + 9 - 4/18. 6 Let k(c) = 2*c**2 + c - 5. Let f(b) = -b**3 + 3*b**2 + 6*b - 3. Let a be f(4). Suppose 3 = a*i - 7. Calculate the least common multiple of i and k(3). 16 Let b(l) = l**3 - 2*l**2 - 4*l + 2. Let c be b(3). Calculate the common denominator of 0 + 41/(-2) + c and (-1209)/(-240) + 4/10. 16 Let y(b) be the third derivative of b**5/60 + 3*b**4/8 + b**3/2 + 2*b**2. Let o be y(-8). Let h = o + 7. What is the lowest common multiple of h and 2? 2 Let r = 8 - 4. Calculate the least common multiple of r and 4. 4 Let f be (-22)/4*(2 - 0). Let z be (1 + f)*(-54)/15. Suppose -8 = 4*q, -5*q + 34 = 5*r - z. Calculate the lowest common multiple of r and 6. 48 Let v be (14/(-3))/((-4)/234). What is the common denominator of (-2)/4*v/(-35) and 69/10? 10 Calculate the least common multiple of 1 and ((-1)/3)/((-9)/162). 6 Let c = -43/25 - 603/100. Calculate the common denominator of -113/24 and c. 24 Let i be (-54)/15*50/15. What is the least common multiple of (14/4)/((-6)/i) and 9? 63 Suppose -2*v + 21 = 9. Calculate the smallest common multiple of v and 18. 18 Let i = 44 + -35. What is the least common multiple of i and 10? 90 Let j(d) = 2*d**3 + 1. Let o be j(1). Suppose -o*s = -0*s - 24. Let x = 4 - -16. Calculate the least common multiple of x and s. 40 Suppose 3 = -5*g + i - 3*i, 2*g + 2*i = -6. Let s(k) be the first derivative of k**3 - 7. Calculate the least common multiple of s(g) and 2. 6 Suppose -n + 6600 = -6*n. Let z = -26457/20 - n. What is the common denominator of z and 103/14? 140 Suppose 0*g = -g + 3. Suppose g*j - 5*p + 22 + 0 = 0, 5*j - 3*p + 10 = 0. Find the common denominator of -145/6 and ((-177)/30 - j)/(-3). 30 Find the common denominator of 73/2 and 73/(-24) - (-5)/30. 8 Let y = -11 - -40. Find the common denominator of 43/18 and y. 18 Let x = 25 + -9. Calculate the smallest common multiple of 12 and x. 48 Let q(x) = 2*x**2 - 2*x + 1. Let u be q(1). Suppose -3*b + 63 = -d, -b + 50 = b + 2*d. Find the common denominator of 71/4 and b/18 - 1/u. 36 What is the common denominator of (-4)/(-18)*2/(-8)*-2 and -109/6? 18 Suppose -4*v - 16 = 3*n - 4*n, -5*n + 3*v = -29. Let j(u) = -u + 2. Calculate the lowest common multiple
{ "pile_set_name": "DM Mathematics" }
rmine h, given that -12*h**5 + 36*h**4 + 33*h**3 - 90*h**2 - 75*h = 0. -1, 0, 5/2 Factor 2*t**2/9 + 38*t/9 - 184/9. 2*(t - 4)*(t + 23)/9 Factor -2*j**2 + 14*j - 12. -2*(j - 6)*(j - 1) Suppose -4*q**4 + 28*q**3 + 12*q**2 - 252*q + 216 = 0. What is q? -3, 1, 3, 6 What is i in 2*i**3/3 - 46*i**2/3 + 74*i + 90 = 0? -1, 9, 15 Let 4*v**4/7 - 148*v**3/7 + 1292*v**2/7 + 1444*v/7 = 0. Calculate v. -1, 0, 19 Let -p**3/9 - 22*p**2/9 + p/9 + 22/9 = 0. What is p? -22, -1, 1 Determine y so that -24*y**4 - 255*y**3 + 1707*y**2 - 2553*y + 1125 = 0. -125/8, 1, 3 Factor x**2/10 - 171*x/5 + 341/10. (x - 341)*(x - 1)/10 Factor -o**2/3 - 7*o/3 - 2. -(o + 1)*(o + 6)/3 Factor 4*b**3 + 44*b**2 + 96*b. 4*b*(b + 3)*(b + 8) Factor j**2/3 + 221*j/3. j*(j + 221)/3 Solve -6*r**5/7 - 6*r**4 + 60*r**3/7 + 96*r**2/7 = 0 for r. -8, -1, 0, 2 Factor d**2/10 + 636*d/5 + 202248/5. (d + 636)**2/10 Find j such that 27*j**4/7 + 63306*j**3/7 + 37065639*j**2/7 - 49505292*j/7 + 16511148/7 = 0. -1173, 2/3 Factor 2*s**5/3 - 298*s**4/3 + 10646*s**3/3 + 33746*s**2/3 + 34352*s/3 + 11552/3. 2*(s - 76)**2*(s + 1)**3/3 Suppose -10*x**3/3 + 61*x**2 - 288*x + 81 = 0. Calculate x. 3/10, 9 Find i, given that -4*i**5/7 + 32*i**4 + 212*i**3 + 344*i**2/7 - 6016*i/7 + 3968/7 = 0. -4, 1, 62 Factor x**4/3 - 49*x**3/3 + 191*x**2 - 441*x - 1782. (x - 33)*(x - 9)**2*(x + 2)/3 Solve 6*z**3 + 39*z**2/2 - 27/2 = 0 for z. -3, -1, 3/4 Determine p, given that 25*p**4 - 65*p**3 - 170*p**2 + 120*p = 0. -2, 0, 3/5, 4 Factor -248*i**2 + 148*i - 12. -4*(2*i - 1)*(31*i - 3) Factor g**2/4 + 219*g + 47961. (g + 438)**2/4 Determine n, given that -64*n**4 + 176*n**3 - 108*n**2 + 25*n - 2 = 0. 1/4, 2 Factor -4*h**4/9 - 4*h**3/3 + 64*h**2/9 - 16*h/3. -4*h*(h - 2)*(h - 1)*(h + 6)/9 Suppose 4*b**4 - 16*b**3 - 20*b**2 = 0. What is b? -1, 0, 5 Factor 4*x**2 - 36*x + 32. 4*(x - 8)*(x - 1) What is d in 3*d**5 - 39*d**4 - 27*d**3 + 363*d**2 - 120*d - 468 = 0? -3, -1, 2, 13 Determine n, given that -9*n**4 + 12*n**3 + 48*n**2 - 48*n - 48 = 0. -2, -2/3, 2 Solve n**2/3 + 46*n/3 + 56 = 0. -42, -4 Factor l**2/5 + 3*l - 154/5. (l - 7)*(l + 22)/5 Solve -5*v**5 + 29*v**4 - 66*v**3 + 74*v**2 - 41*v + 9 = 0. 1, 9/5 Let 2*p**2/5 - 42*p/5 = 0. Calculate p. 0, 21 Factor 14*v**4 - 80*v**3 - 122*v**2 - 28*v. 2*v*(v - 7)*(v + 1)*(7*v + 2) Find u such that u**5/7 + 10*u**4/7 + 17*u**3/7 + 8*u**2/7 = 0. -8, -1, 0 Let -29*x**4/2 - 259*x**3/2 - 765*x**2/2 - 729*x/2 + 27 = 0. What is x? -3, 2/29 Factor -2*g**3 - 166*g**2 + 168*g. -2*g*(g - 1)*(g + 84) Determine m so that -7*m**4/4 + 159*m**3/4 - 397*m**2/2 - 312*m - 72 = 0. -1, -2/7, 12 Factor -2*s**3/5 + 142*s**2/5 - 296*s - 1624/5. -2*(s - 58)*(s - 14)*(s + 1)/5 Factor -j**3/2 - 851*j**2/2 + j/2 + 851/2. -(j - 1)*(j + 1)*(j + 851)/2 Find g, given that -4*g**5 + 2984*g**4 - 8924*g**3 + 5944*g**2 = 0. 0, 1, 2, 743 Solve x**3/3 + 29*x**2/3 + 103*x/3 + 25 = 0. -25, -3, -1 Determine f so that -2*f**3/19 + 2*f**2/19 + 16*f/19 - 24/19 = 0. -3, 2 Factor 2*b**3 + 6*b**2. 2*b**2*(b + 3) Suppose 36*d**4 - 116*d**3 + 132*d**2 - 60*d + 8 = 0. Calculate d. 2/9, 1 Determine y, given that y**3/2 - 3419*y**2/2 - 6841*y/2 - 3421/2 = 0. -1, 3421 Solve 5*b**5 - 30*b**4 + 65*b**3 - 60*b**2 + 20*b = 0. 0, 1, 2 Factor -b**2/6 - b/2. -b*(b + 3)/6 Suppose -4*q**5/7 - 88*q**4/7 - 164*q**3/7 - 80*q**2/7 = 0. What is q? -20, -1, 0 Suppose -8*d**5 - 62*d**4 - 104*d**3 + 30*d**2 = 0. Calculate d. -5, -3, 0, 1/4 Solve 756*h**5/5 + 177*h**4 + 18*h**3 - 9*h**2 - 6*h/5 = 0 for h. -1, -1/4, -1/7, 0, 2/9 Let -36*n**3 - 596*n**2 + 704*n + 1264 = 0. Calculate n. -158/9, -1, 2 Suppose -5*s**2 + 1070*s - 57245 = 0. What is s? 107 Factor -4*l**3 + 60*l**2 - 192*l + 176. -4*(l - 11)*(l - 2)**2 Factor -3*f**3 - 765*f**2 + 768*f. -3*f*(f - 1)*(f + 256) Factor 3*n**4/7 - 519*n**3/7 - 1047*n**2/7 - 75*n. 3*n*(n - 175)*(n + 1)**2/7 Find y, given that -5*y**4 + 20*y**3 + 65*y**2 - 140*y - 300 = 0. -2, 3, 5 Factor -x**5/7 - x**4/7 + x**3/7 + x**2/7. -x**2*(x - 1)*(x + 1)**2/7 Solve 3*l**5 + 8*l**4 + 4*l**3 - 6*l**2 - 7*l - 2 = 0. -1, -2/3, 1 Factor -2*h**3/9 + 16*h**2/9 + 22*h/9 - 4. -2*(h - 9)*(h - 1)*(h + 2)/9 Determine m, given that -2*m**4 + 64*m**3 + 74*m**2 - 256*m - 264 = 0. -2, -1, 2, 33 Factor 2*p**2/9 + 1712*p/9 + 366368/9. 2*(p + 428)**2/9 Solve 3*q**4/4 - 597*q**3/4 - 6825*q**2/4 - 21975*q/4 - 7875/2 = 0 for q. -5, -1, 210 Factor -3*m**3 + 18*m**2 + 561*m - 2340. -3*(m - 15)*(m - 4)*(m + 13) Determine u so that -5*u**4 + 105*u**3 - 285*u**2 + 275*u - 90 = 0. 1, 18 Factor 5*q**4 - 170*q**3 + 1645*q**2 - 4900*q. 5*q*(q - 20)*(q - 7)**2 Factor c**2/2 - 302*c. c*(c - 604)/2 What is u in 2*u**5 + 24*u**4 + 84*u**3 + 104*u**2 + 42*u = 0? -7, -3, -1, 0 Let -2*b**2/5 - 2*b/5 = 0. Calculate b. -1, 0 Factor -6*o**2/11 + 68*o/11 + 130/11. -2*(o - 13)*(3*o + 5)/11 Find h, given that 21*h**5/2 + 51*h**4/2 - 3*h**3/2 - 51*h**2/2 - 9*h = 0. -2, -1, -3/7, 0, 1 Factor -2*s**3/5 - 24*s**2 - 2394*s/5 - 15876/5. -2*(s + 18)*(s + 21)**2/5 Solve 2*b**3 - 108*b**2 - 122*b + 660 = 0 for b. -3, 2, 55 Factor c**5/3 + 16*c**4/3 + 21*c**3 - 16*c**2/3 - 64*c/3. c*(c - 1)*(c + 1)*(c + 8)**2/3 Factor 5*m**2/6 - 2780*m/3 + 772840/3. 5*(m - 556)**2/6 Solve -h**2/3 + 3730*h/3 - 3478225/3 = 0. 1865 Factor -70*m**2 - 446*m - 156. -2*(m + 6)*(35*m + 13) Let -5*y**4 - 175*y**3 - 1740*y**2 - 3200*y + 5120 = 0. Calculate y. -16, -4, 1 Factor -z**2 - 193*z - 382. -(z + 2)*(z + 191) Factor 2*c**2/7 + 24*c/7 + 40/7. 2*(c + 2)*(c + 10)/7 Factor -3*a**3 - 54*a**2 - 243*a - 324. -3*(a + 3)**2*(a + 12) Let 20*h**2 + 10996*h - 2200 = 0. Calculate h. -550, 1/5 Factor n**2/4 - 1/4. (n - 1)*(n + 1)/4 Factor -h**4/8 + h**3/4. -h**3*(h - 2)/8 Determine m so that -5*m**2 - 110*m + 240 = 0. -24, 2 Let 12*r**3 + 1460*r**2 + 3824*r + 1904 = 0. Calculate r. -119, -2, -2/3 Factor 4*o**2 - 20*o - 24. 4*(o - 6)*(o + 1) Factor 4*u**3 - 1056*u**2 + 92928*u - 2725888. 4*(u - 88)**3 Let -3*q**5 + 33*q**4 + 411*q**3 - 3249*q**2 - 16632*q + 19440 = 0. What is q? -9, -5, 1, 12 Let -5*l**3 + 155*l**2 - 555*l + 405 = 0. What is l? 1, 3, 27 Suppose -5*d**3 + 50*d**2 - 145*d + 100 = 0. What is d? 1, 4, 5 Determine n, given that -24*n**3 - 50*n**2 - 4*n = 0. -2, -1/12, 0 Factor -c**5/5 - 2*c**4/5 + 6*c**3/5 + 4*c**2 + 19*c/5 + 6/5. -(c - 3)*(c + 1)**3*(c + 2)/5 Factor o**5/7 + o**4/7 - 6*o**3/7. o**3*(o - 2)*(o + 3)/7 Solve 2*g**5 + 10*g**4 + 14*g**3 + 6*g**2 = 0. -3, -1, 0 Factor -2*i**2 + 34*i - 84. -2*(i - 14)*(i - 3) Suppose 2*a**5/3 - 34*a**4 + 1214*a**3/3 + 1050*a**2 - 24544*a/3 + 6760 = 0. Calculate a. -5, 1, 3, 26 Factor -y**2/3 + 20*y/3 - 19/3. -(y - 19)*(y - 1)/3 Find r such that 6*r**3 + 597*r**2 - 2145*r + 1854 = 0. -103, 3/2, 2 Let -r**4/11 + 182*r**3/11 - 8281*r**2/11 = 0. What is r? 0, 91 Determine k so that -4*k**4/5 + 4*k**3/5 + 36*k**2/5 + 44*k/5 + 16/5 = 0. -1, 4 Factor -3*v**3 - 63*v**2 + 3*v + 63. -3*(v - 1)*(v + 1)*(v + 21) Determine u so that u**2/4 - 457*u/4 + 114 = 0. 1, 456 Factor -5*t**2/2 - 675*t/2 - 990. -5*(t + 3)*(t + 132)/2 Factor -3*n**3 - 540*n**2 - 537*n. -3*n*(n + 1)*(n + 179) Factor 2*d**2 + 400*d - 402. 2*(d - 1)*(d + 201) Solve -37*s**3 - 2*s**2 = 0. -2/37, 0 What is w in -w**5/4 - 21*w**4/4 + 211*w**3/4 - 591*w**2/4 + 261*w/2 = 0? -29, 0, 2, 3 Suppose -v**5 + 32*v**4 - 281*v**3 + 322*v**2 + 1140*v - 1800 = 0. What is v? -2, 2, 15 Factor 3*x**4 + 723*x**3 + 714*x**2 - 1440*x. 3*x*(x - 1)*(x + 2)*(x + 240) Factor 4*i**4 + 36*i**3 + 44*i**2 - 84*i. 4*i*(i - 1)*(i + 3)*(i + 7) Solve -8*g**3/11 + 150*g**2/11 - 756*g/11 + 486/11 = 0 for g. 3/4, 9 Let 94*r**2/9 - 4*r/9 = 0. What is r? 0, 2/47 What is w in 2*w**3/9 - 46*w**2 - 566*w/3 + 2110/9 = 0? -5, 1, 211 Factor o**2 + 30*o + 161. (o + 7)*(o + 23) Factor 3*g**3/7 + 2574*g**2/7 + 736164*g/7 + 70180968/7. 3*(g + 286)**3/7 Let 5*n**2 + 50*n + 125 = 0. Calculate n. -5 Factor 4*d**4/3 - 32*d**3 + 472*d**2/3 + 416*d + 676/3. 4*(d - 13)**2*(d + 1)**2/3 Factor -10*f**2 + 42*f - 32. -2*(f - 1)*(5*f - 16) Find b such that 2*b**4/7 + 324*b**3/7 - 1664*b**2/7 + 1020*b/7 + 3006/7 = 0. -167, -1, 3 Find y such that 4*y**3 + 456*y**2 + 12528*y - 26912 = 0. -58, 2 Let 121*h**5 + 330*h**4 - 7475*h**3 - 10500*h**2 + 122500*h = 0. What is h? -70/11, 0, 5 Determine f, given that -289*f**3/6 + 340*f**2/3 - 71*f/2 + 3 = 0. 3/17, 2 Let -2*l**
{ "pile_set_name": "DM Mathematics" }
Determine a, given that c(a) = 0. -4, -3, -1 Let u(r) be the first derivative of -r**5/20 + 73*r**4/12 - 1295*r**3/6 - 1369*r**2/2 - 85*r + 134. Let q(p) be the first derivative of u(p). Solve q(o) = 0. -1, 37 Let h(g) be the second derivative of g**4/4 - 17*g**3/6 - 17*g**2/2 - 5*g - 7. Let s be h(-1). Find b such that -1/4*b + 0 - 1/4*b**2 + 1/4*b**s + 1/4*b**4 = 0. -1, 0, 1 Let y = 4665 - 4464401/957. Let h = 2887/3828 - y. Solve 0 + h*r**2 - 21/4*r = 0. 0, 7 Let q(g) be the third derivative of g**7/2520 + 13*g**6/720 - 59*g**4/12 + 130*g**2. Let d(w) be the second derivative of q(w). Let d(a) = 0. Calculate a. -13, 0 Factor 392/13 - 2/13*i**2 - 42/13*i. -2*(i - 7)*(i + 28)/13 Suppose -2*a + 47 = -5*b - 388, -5*a + 5*b + 1095 = 0. Let d be 708/a + -1 - 10/(-55). Factor d*x - 2/5*x**2 - 18/5. -2*(x - 3)**2/5 Let u = 522 + -231. Suppose -8*f - u = -4323. Find o, given that 735*o**3 - 12 - f*o**2 + 132*o - 1029/4*o**4 = 0. 2/7, 2 Let w(t) = t**4 - 81*t**3 + 1433*t**2 + 5053*t - 2. Let x(a) = 4*a**4 - 325*a**3 + 5731*a**2 + 20217*a - 9. Let k(c) = 18*w(c) - 4*x(c). Factor k(b). 2*b*(b - 41)**2*(b + 3) Suppose -68/7*f**2 + 2/7*f**3 + 418/7*f + 2888/7 = 0. What is f? -4, 19 Factor 333661 - y**2 + 2*y**2 - 169804 + 305*y + 882672 + 1741*y. (y + 1023)**2 Suppose 4*r = 3*p + 3 - 15, -2*r = -p + 4. Let x be (4/(-1))/(-4)*0. Suppose -1/4*n**3 + r - 1/4*n**2 + x*n = 0. What is n? -1, 0 Let z be (3/(-4))/(((-1584)/(-315) - 5)*85/(-34)). Find r such that 0*r + 0 - 3*r**2 - 15/2*r**4 - z*r**3 = 0. -1, -2/5, 0 Let k = 828 + -852. Let y be ((-6)/(-8))/((-276)/k - 10). Solve 3/2*f**2 + y*f - 1/2*f**3 - 1 - 1/2*f**4 = 0 for f. -2, -1, 1 Factor -320/3 - 1/3*r**2 + 28*r. -(r - 80)*(r - 4)/3 Let s(i) = -87*i**4 - 87*i**3 + 232*i**2 - 38*i - 22. Let k(g) = -43*g**4 - 43*g**3 + 116*g**2 - 24*g - 12. Let t(f) = 11*k(f) - 6*s(f). Factor t(l). l*(l + 2)*(7*l - 9)*(7*l + 2) Let x be ((-132)/32 + 4)*(82 + -41 + -44). Factor 3/8*z**3 + 0 - x*z + 0*z**2. 3*z*(z - 1)*(z + 1)/8 Suppose -32*k + 27*k + 11 = 3*f, 2 = 2*k. Let -6/5*g**f + 2/5*g**4 + 14/15*g**3 - 14/15*g + 4/5 = 0. What is g? -3, -1, 2/3, 1 Let o be 24/6 - -4 - (6 - 3). Suppose -2*z**4 + 26*z**3 - o*z - 8*z**3 + 5*z = 0. Calculate z. 0, 9 Let m = -12350/7 - -26148/35. Let b = m - -1018. Solve -b*i**3 + 36/5*i + 12/5*i**2 - 108/5 = 0 for i. -3, 3 Let i be (-12)/(-9)*2/(-64)*(-942)/157. Factor 0 - 11/4*f**3 + i*f**4 - 13/4*f - 25/4*f**2. f*(f - 13)*(f + 1)**2/4 Let g(d) be the first derivative of 36/7*d + 6/7*d**2 - 77 + 1/21*d**3. Determine f, given that g(f) = 0. -6 Let b(d) be the third derivative of -d**7/525 + 317*d**6/75 - 89253*d**5/25 + 1252503*d**4 + 25228989*d**3/5 + 2*d**2 - 58*d + 7. Factor b(h). -2*(h - 423)**3*(h + 1)/5 Let o(k) be the third derivative of k**10/604800 - k**8/80640 + 11*k**5/12 - 7*k**2 + 2. Let u(h) be the third derivative of o(h). Factor u(v). v**2*(v - 1)*(v + 1)/4 Factor 6162247 - 6162247 - 124*p + 4*p**2. 4*p*(p - 31) Let t(z) = 41*z**2 - 305*z - 132. Let i(b) = -208*b**2 + 1524*b + 664. Let d(m) = -3*i(m) - 16*t(m). Factor d(q). -4*(q - 10)*(8*q + 3) Let g(f) = 21*f**3 + 97*f**2 + 67*f + 60. Let c be g(-4). Factor 1/2*a**2 + c - 39/2*a. a*(a - 39)/2 Factor 17/2*g - 3 - 5/2*g**2. -(g - 3)*(5*g - 2)/2 Let x be (-40)/6 - (-36 - (-72 + 46)). Factor -x + 23/3*p - 5/3*p**2 - 2/3*p**3. -(p - 2)*(p + 5)*(2*p - 1)/3 Suppose 0 = 48*t - 29*t + 114. Let w be (15 - (t - -12)) + -9. Factor 2/5*x**4 + 0*x**2 + 0 + 0*x + w*x**3 + 1/5*x**5. x**4*(x + 2)/5 Let q(c) be the third derivative of -c**6/45 + 13*c**5/30 - 7*c**4/2 + 155*c**3/3 + 301*c**2. Let k(w) be the first derivative of q(w). Factor k(j). -4*(j - 3)*(2*j - 7) Let y(o) be the first derivative of 5/7*o**2 + 121 - 2/21*o**3 + 0*o. Factor y(p). -2*p*(p - 5)/7 Let c(s) be the second derivative of -3/5*s**5 + 2*s**3 + 3/4*s**4 + 1/10*s**6 + 109*s - 6*s**2 + 0. Find k such that c(k) = 0. -1, 1, 2 Let a(c) be the second derivative of 2/5*c**3 + 0 - 7/50*c**5 - 1/75*c**6 + 1/105*c**7 + 0*c**2 + 1/30*c**4 + 55*c. Solve a(m) = 0 for m. -2, -1, 0, 1, 3 Let q(b) = -3*b - 3*b + 0*b - 10. Let j(g) = g + 2. Let z be j(-9). Let r(i) = i**2 + 17*i + 30. Let m(n) = z*q(n) - 2*r(n). Factor m(k). -2*(k - 5)*(k + 1) Let h(k) be the first derivative of -25/12*k**2 - 10/9*k**3 - 5/24*k**4 - 19 - 5/3*k. Factor h(u). -5*(u + 1)**2*(u + 2)/6 Suppose c**2 - 2/3*c - 1/3*c**3 + 0 = 0. What is c? 0, 1, 2 Suppose -38 + 2 = -6*z. Factor 357*t + 3*t**5 - 48*t**2 + 82 + 14 - 309*t - 24*t**3 + z*t**4. 3*(t - 2)**2*(t + 2)**3 Find s, given that -1486 - 1514*s + 826*s - 53*s - 213*s**2 + 214*s**2 = 0. -2, 743 Let s be (-1 - ((-21)/2 + 3/2))*(-12)/(-336). Factor s*b**3 + 0 + 4/7*b - b**2 + 1/7*b**4. b*(b - 1)**2*(b + 4)/7 Let s(v) be the first derivative of 12*v**5/5 - 123*v**4/4 + 46*v**3 - 27*v**2/2 - 3376. Find z, given that s(z) = 0. 0, 1/4, 1, 9 Let v(p) be the third derivative of 9*p**7/70 + 53*p**6/20 - 33*p**5/20 - 53*p**4/4 + 12*p**3 + 5*p**2 - 10*p. Find i, given that v(i) = 0. -12, -1, 2/9, 1 Let o(v) be the first derivative of -22*v**5/35 - 79*v**4/14 - 90*v**3/7 - 11*v**2 - 20*v/7 + 7593. Suppose o(j) = 0. Calculate j. -5, -1, -2/11 Let l(a) be the third derivative of a**5/390 - 53*a**4/52 - 160*a**3/39 + 34*a**2 + 6. Suppose l(g) = 0. What is g? -1, 160 Let d(w) be the first derivative of -4*w**3/3 - 1504*w**2 - 565504*w - 663. Solve d(g) = 0. -376 Let d(k) = 4*k**2 + 20*k + 16. Let o(l) = 5*l**2 + 21*l + 16. Suppose 5*j - 13*j = 48. Let c(a) = j*d(a) + 4*o(a). Factor c(v). -4*(v + 1)*(v + 8) Let y(m) be the third derivative of 11/12*m**4 + 0 - 1/30*m**5 - 9*m**2 - 7*m + 0*m**3. Solve y(o) = 0 for o. 0, 11 Let z be 2 - 14/8 - 9/4. Let h be ((-6)/(-15))/(z/(-10)). Factor 2*v**h - 28 + 6 - 4*v + 11 + 13. 2*(v - 1)**2 Let u(o) be the second derivative of -o**6/720 + o**5/60 - 8*o**3/9 - 19*o**2/2 - 14*o - 2. Let r(h) be the first derivative of u(h). Factor r(l). -(l - 4)**2*(l + 2)/6 Let g(v) be the first derivative of -2*v**5/55 - 31*v**4/22 + 2*v**3 + 31*v**2/11 - 64*v/11 + 4512. Solve g(k) = 0 for k. -32, -1, 1 Let c(m) be the third derivative of -94*m**2 - 10/21*m**7 - 14/15*m**6 + 14/3*m**4 + 2*m**3 - 1 + 0*m + 22/15*m**5. Solve c(q) = 0. -1, -3/25, 1 Factor 810 - 1132*w + 25*w**2 + 1921*w - 2154*w. 5*(w - 54)*(5*w - 3) Let g(y) be the third derivative of 12/7*y**4 + 4/105*y**6 + 80/21*y**3 + 44/105*y**5 - 8 + 0*y - 1/1176*y**8 - 2*y**2 - 1/245*y**7. Factor g(q). -2*(q - 5)*(q + 2)**4/7 Suppose -4*j - 7 = 3*r - 8, -3*r = -j - 11. Let p be ((-8)/(-120)*6)/(j/(-20)). Let 0 + 18/7*b - 3/7*b**p + 3*b**2 + 0*b**3 = 0. Calculate b. -2, -1, 0, 3 Let u be (336/35 + -9)/(2/20). Let k be (16/u)/2*25/100. Find n, given that 4/3*n - 8/3*n**2 + 0 + 5/3*n**3 - k*n**4 = 0. 0, 1, 2 Suppose -2078 + 2246 = 84*y. Factor 3/7*u**3 - 45/7*u**y + 729/7 + 81/7*u. 3*(u - 9)**2*(u + 3)/7 Let o(z) be the second derivative of 0*z**2 + 7/12*z**3 + z + 4 + 1/24*z**4. Let o(a) = 0. What is a? -7, 0 Let 1639*x + 1050*x**2 + 947 + 3517 + 50*x**2 - 4*x**3 + 2809*x = 0. What is x? -2, 279 Suppose -5*m + 3*m + 4 = 0. Suppose -m*s + 23 = 3. Let -n**2 + 10 + 5*n - s*n**2 + 6*n**2 = 0. Calculate n. -1, 2 Let b(h) be the second derivative of 0*h**3 + 12/5*h**5 + 0*h**4 + 2*h + 22/15*h**6 - 10 - 2/21*h**7 + 0*h**2. Factor b(f). -4*f**3*(f - 12)*(f + 1) Let g be -8 + 13875/1983 - -1. Let z = g - -3309/1322. Factor 5*x**3 + 0*x + 1/4 - z*x**2 + x**5 - 15/4*x**4. (x - 1)**4*(4*x + 1)/4 Suppose -1/5*c**4 + 19 - 204/5*c + 122/5*c**2 - 12/5*c**3 = 0. What is c? -19, 1, 5 Let s(l) = 3*l**4 + 25*l**3 - 3*l**2 - 4*l. Let g(b) = -b**5 - 3*b**4 - 27*b**3 + 3*b**2 + 4*b. Let v(d) = -7*g(d) - 8*s(d). Factor v(j). j*(j - 1)**2*(j + 1)*(7*j + 4) Suppose 5 - 1 = 4*r + 2*j, 5*r + 4*j = 2. Let b be (-20)/70 - 40/(-42). Solve 2*g - 4/3 + b*g**4 - r*g**3 + 2/3*g**2 = 0 for g. -1, 1, 2 Let x(f) be the first derivative of f**6/25 - f**5/25 - 2*f**4/9 - 8*f**3/45 + 15*f - 28. Let a(v) be the first derivative of x(v). Factor a(y). 2*y*(y - 2)*(3*y + 2)**2/15 Let l(i) be the second derivative of -i**6/10 + 3*i**5/4 - 7*i**4/4 + 3*i**3/2 + 1063*i. Let l(v) = 0. What is v? 0, 1, 3 Let o(d) be the third derivative of -50*d**2 + 0 + 8/25*d**5 + 6/5*d**3 + 1/25*d**6 + 13/15*d**4 - 2/525*d**7 + 0*d. Determine q, given t
{ "pile_set_name": "DM Mathematics" }
= 0. Sort w, -2, h in decreasing order. h, -2, w Suppose 2*l - 24 = 4*l. Let h be 2/8 - 57/l. Sort -4, h, -3 in ascending order. -4, -3, h Let n = -0.9 - -1.7. Let q = n + -1.2. Let h = 1 - -1. Sort q, -2, h in decreasing order. h, q, -2 Let i(p) = p**3 - 9*p**2 + p - 8. Let q be i(9). Sort 2, q, 4 in increasing order. q, 2, 4 Let n be (-2)/(-9) - 11/9. Let b(k) = k**3 - 26*k**2 + 25*k + 2. Let m be b(25). Sort m, -3, n. -3, n, m Let o be (-6)/18 - (-2)/(-4). Sort 0, -0.5, o. o, -0.5, 0 Let f = 0.3 + 0.2. Let c = -0.32 + -0.98. Let a = 0.9 + c. Put 4, a, f in ascending order. a, f, 4 Let a = 0.48 + 0. Let j = a + -0.18. Put -1/3, 4, j in descending order. 4, j, -1/3 Let z(c) = -c**3 - 14*c**2 + 3. Let r be z(-14). Let b(f) = f. Let l be b(0). Put -4, l, r in decreasing order. r, l, -4 Let y = -13 + 13. Suppose -2*k + 8 + 0 = y. Sort -5, -3, k in ascending order. -5, -3, k Suppose -7*i + 3*i = -i. Sort 1, 3, -3, i in ascending order. -3, i, 1, 3 Let h = 952/5 - 191. Put 1, h, -12 in ascending order. -12, h, 1 Let s = 0.18 - -0.02. Let i(t) = -t**3 - 3*t**2 - t + 1. Let n be i(-3). Sort -5, s, n in decreasing order. n, s, -5 Let n = -9 - -4. Sort 2, n, -2. n, -2, 2 Suppose 5*p - l + 5 = 4*l, 4*p - 2 = 2*l. Put p, 1, 3 in decreasing order. 3, p, 1 Let c be (-11)/3 - 3/9. Let g = 2 - 1.5. Sort g, c, -3 in decreasing order. g, -3, c Let w = 4.7 + -0.7. Let h = -0.14 + 4.54. Let c = h - w. Sort c, -1/3, 1/2 in decreasing order. 1/2, c, -1/3 Let g be (-5)/(-10)*(-4)/10. Let k = -0.4 + 0.4. Put -5/3, k, g in ascending order. -5/3, g, k Let c = -133.6 - -134. Put -6, c, 5, 0.5 in decreasing order. 5, 0.5, c, -6 Suppose 5*c - 67 = x, 5*c + 29 = 2*x + 98. Put 0, 2, -1, c in increasing order. -1, 0, 2, c Let x be -1 + 5 + -2 - 2. Let k = 18 - 15. Sort -5, k, x in increasing order. -5, x, k Let t be (6/(-2))/3*1. Suppose -5*z + z = 0. Sort 1, z, t in descending order. 1, z, t Let h = 3.1 - 3. Let f = 16 + -15. Let c be -1*(f + -3 - -3). Sort c, h, 4 in descending order. 4, h, c Let v = 5 + -4.7. Let p(n) = n**2 - 3*n - 5. Let t be p(5). Sort -1, t, v in increasing order. -1, v, t Let p be ((-9)/96)/(0 - -6). Let r = 13232753/35904 + -18805/51. Let c = p + r. Put c, -0.2, 3/4 in descending order. 3/4, c, -0.2 Suppose 0*a - a + 1 = 0. Let d be 4 + -2 - (-6 + 3). Let j be -1 + (6/2 - 3). Put d, j, a in decreasing order. d, a, j Let f = -3.2 - -3.06. Sort -1, 0.1, f in decreasing order. 0.1, f, -1 Let y be (-2)/(-1) + (8 - 8). Suppose y*p = -2*t - 2, p = 2*t - 3*p + 20. Let j(s) = -s**2 + 3*s + 2. Let z be j(3). Sort -5, z, t in increasing order. -5, t, z Let y = 1842671/23 + -80097. Let n = y - 19. Let m = 41/138 - n. Put m, -4, -0.1 in ascending order. -4, -0.1, m Let d = 70 + -69. Put -2, d, 5 in descending order. 5, d, -2 Let r = 22 + -24. Let z = 12 - 4. Let f = 5 - z. Sort f, r, 1/6. f, r, 1/6 Let a = -10 - -6. Let z be ((-4)/(-10))/(a/40). Let n be (4/(-6)*3)/(6/9). Sort 4, n, z. z, n, 4 Let n = -0.246 + -0.054. Let k = -0.06 - 2.94. Sort k, -5, n. -5, k, n Suppose k + 6 = 2. Let i(x) = x**3 + 6*x**2 + 4*x + 2. Let l be i(-5). Suppose 5*s = -2 + l. Sort k, s, 0. k, 0, s Let u be (-2)/7 - 280/(-637). Let b = 28.45 - 29. Let k = 0.05 + b. Sort k, -5/4, u. -5/4, k, u Let k = 8 - 14. Let i = -1111/4 - -277. Sort -1, i, k in decreasing order. i, -1, k Let x be -8 + 9 + 2/(-10). Sort 1/4, -2/3, x in decreasing order. x, 1/4, -2/3 Let p = -3.5 - -3. Let k be (1 - 1) + 3/(-4). Let y be 6/15 + (-189)/35. Put k, y, p in increasing order. y, k, p Let s = -9 + 4. Let p = s + 5. Suppose p = -t - t. Sort -5, -2, t. -5, -2, t Let m = 35.5 + -35. Sort -4.4, 2/19, -2/5, m in descending order. m, 2/19, -2/5, -4.4 Let u be ((-210)/(-72) - 3)/(1/(-3)). Sort 0, -2/17, -6, u in decreasing order. u, 0, -2/17, -6 Let w(p) = -p - 1. Let r be w(-4). Put 4, -5, r in increasing order. -5, r, 4 Let a be 2/(-2)*(-2)/(-6). Let p = -0.28 - 0.3. Let u = -0.08 - p. Sort a, 3, u in decreasing order. 3, u, a Let d = -0.1 + -4.9. Put 5, d, -9 in increasing order. -9, d, 5 Let w be (-1)/(-3) + 23/3 + -4. Put 5, w, 2, -5 in increasing order. -5, 2, w, 5 Let z = -3 + 3.6. Let k = z - 1. Let n be 7 + -9 + 4 - (-23)/(-12). Sort -5, k, n in decreasing order. n, k, -5 Let a = -1 + 3. Let u = a + -4. Let y = -9 + 8.6. Sort -3, y, u in decreasing order. y, u, -3 Suppose 5*n - 5 = -5*k + 3*k, 3*n + 5*k = -16. Sort -4, 1, n. -4, 1, n Suppose y + 3*y + 2*b = 14, 2*y - 13 = 5*b. Suppose 5*h + 3 = y*z - 18, 2*h + 5*z + 15 = 0. Suppose 0 = -2*f - 3*f. Put -1, f, h in increasing order. h, -1, f Let j be (10/4)/((-1)/2). Let p(r) = 2*r**3 + 4*r**2 + 2*r - 1. Let f be p(-1). Let g = 11 - 8. Sort f, g, j. j, f, g Let t = -0.44 + 0.04. Let g = 0.075 + 3.925. Sort g, t, -2 in descending order. g, t, -2 Suppose 1 = -2*l + 5. Put 3, -4, l in descending order. 3, l, -4 Let s = 1.8 - -1.2. Sort s, -4/5, 0.2 in decreasing order. s, 0.2, -4/5 Let q(p) = -p**2 - 8*p - 10. Let c be q(-5). Put 0, -2, c in decreasing order. c, 0, -2 Let g(s) = -s**2 - 13*s + 3. Let x be g(-13). Put x, -1, 5 in increasing order. -1, x, 5 Suppose -17 + 14 = -p. Sort p, -5, -2, 4 in descending order. 4, p, -2, -5 Suppose 0 = 2*q - 3 - 3. Put q, -4, 2 in descending order. q, 2, -4 Let m = 128 - 124. Put m, 5, -3 in increasing order. -3, m, 5 Let m(z) = 2*z**2 - 7*z + 5. Let b be m(5). Suppose b = -3*t + 5. Let l = 40 + -42. Sort l, t, -4 in decreasing order. l, -4, t Let w = 157/287 + 1/41. Put w, -1/2, -2, 0 in increasing order. -2, -1/2, 0, w Let l be (-12)/(-9)*(-3)/(-2). Let c(o) = -7*o + o**2 + 0*o**2 + 6 + 0*o**l + 1. Let w be c(5). Put w, -4, 2 in descending order. 2, w, -4 Let v = -3 - -3. Put 1, v, -2/7 in increasing order. -2/7, v, 1 Let u(x) = -x + 1. Let v(m) = -m + 1. Let d(c) = -2*u(c) + v(c). Let f be d(1). Sort 1, f, 4. f, 1, 4 Suppose 6*a + 22 = -8. Put -0.8, a, -4, 0.1 in decreasing order. 0.1, -0.8, -4, a Suppose 20 = 5*v - 0*v. Sort 5, -3, v in decreasing order. 5, v, -3 Suppose g = 7*g - 24. Put g, 1, -2, -5 in descending order. g, 1, -2, -5 Let t be (-2)/(-9) - (-92)/72. Let n = 9.3 + -10. Sort t, 0.4, n in ascending order. n, 0.4, t Let d = 1.3 - 0.3. Let j = -2 + 6. Sort j, d, -0.4 in descending order. j, d, -0.4 Let t = -6 - -11. Suppose -3*h + 3*f + 9 = -2*h, -h + t*f + 15 = 0. Put h, -4, 0.3 in ascending order. -4, h, 0.3 Let x = 111 - 119.8. Let c = x + 0.8. Let v = c - -8.2. Sort v, 0, 1/2. 0, v, 1/2 Suppose 2*y + 7 = -y + 4*m, -y + 5*m = -5. Sort -3, 0.4, y in descending order. 0.4, -3, y Let u = -6 - -8. Suppose -s - u = -3*s, b = -4*s - 1. Let y = -1 - -4. Sort y, 5, b. b, y, 5 Let g be 3/((-585)/(-6))*5. Suppose -n - 5*p + 5 = 0, -4*p + 3 = -5*n - 1. Sort n, g, -2/3 in decreasing order. g, n, -2/3 Let k = -0.1 + -0.9. Let m(b) = -b + 14. Let i be m(9). Let u be (i/(-30))/((-2)/(-20)). Sort k, u, 0 in increasing order. u, k, 0 Let i(w) = -w**3 + 8*w**2 + 1. Let b be i(8). Let y = -2.1 - -2. Put b, 0.3, y in descending order. b, 0.3, y Let q be -6*((-39)/(-9) + -4). Sort q, 2, 3. q, 2, 3 Suppose a + 1 = 3. Suppose -3*p - 15 = -3. Sort a, p, 0 in descending order. a, 0, p Let b = -1.37 + 1.17. Put -2/5, 12, 2/5, b in descending order. 12, 2/5, b, -2/5 Suppose 5*y - 8*y = 0. Suppose m + 5*l = -11, -m - 8 = -y*m + 4*l. Put -4, -5, m in descending order. m, -4, -5 Let c = -1 + 2. Let n be 2/448*1986/33. Let p = -3/176 - n. Sort p, c, 0.4 in descending order. c, 0.4, p Let c be -1 - (-24)/15 - 79. Let j = c + 79. Sort j, 3/2, -4. -4, j, 3/2 Let c = 57 - 25. Let q be c/(-1 - 1/(-3)). Let a be -4*(-4)/(q/15). Put a, -1, -4 in ascending order. a, -4, -1 Let d = -27 - -23.9. Let u = d + 6.1. Let f = 0 + -1. Put f, u, -6 in decreasing order. u, f, -6 Suppose -4*x + 4*d - 20 = 0, 3*x + 11 = d - 0. Put 3, x, 4, -1 in descending order. 4, 3, -1, x Let t = -84 - -87. Let l = -0.4 - -6.4. Let d = l - 10. Sort -5, t, d in descending order. t, d, -5 Let w(m) = 2*m**2 + 6*m - 8. Let t(a) = a**2 + 1. Let b(h) = t(h) - w(h). Let f be b(-7). Sort f, -5, -3 in increasing order. -5, -3, f Suppose 0 = q + 2*q. Let j be -3 + (-5 - q - -3). Sort j, 1/3, 4 in increasing order. j, 1/3, 4 Suppose -4*y + 4*a = -2 - 6, -y = 4*a + 23. Put 1, y, 5 in ascending order. y, 1, 5 Let i = 25 + -24. Sort 2, -2, i in ascending order. -2, i, 2 L
{ "pile_set_name": "DM Mathematics" }
. Solve 2*p = -h*k - 15, 3*k - 5*p + 24 - 9 = 0 for k. -5 Suppose -w - 3*l - 29 = -5*w, 0 = -2*w + 2*l + 16. Solve 5*t = -2*o + 17, t = 4*t - w*o - 4 for t. 3 Suppose 7 + 10 = 4*j + y, -27 = -3*j + 4*y. Let q(x) = -8*x - 124. Let t be q(-16). Solve -3*n + 6*v = 5*v - 2, 0 = -t*n - j*v - 10 for n. 0 Let u = -10 - -11. Let x be 5*(-16)/(-20)*u. Solve -x = 4*f + 2*d, 9 = -4*f + 4*d - 7 for f. -2 Let v(o) be the second derivative of 3*o**3 + 33*o. Let d be v(1). Solve 3*h - 4*k - d = 0, h = 5*k + 30 - 13 for h. 2 Let j be 4 + (-4 - (-1 + -4))*1. Let i be (7 - 0/j)*3. Solve -q + c - i = 3*q, 2*q = -c - 9 for q. -5 Let v = -10 - -16. Let j(d) = 2*d**2 + 126 + 8*d - 3*d**2 - 144 + 2*d. Let r be j(v). Solve f - r = -f, 29 = 5*c + 3*f for c. 4 Suppose -5*j + j + 16 = 0. Let z(q) = -q**3 - 2*q**2 + 4*q + 3. Let n be z(-3). Suppose n*w + 16 = j*w. Solve w*g + 10 - 32 = -3*f, -f + 10 = 2*g for f. 2 Let o = 790 - 790. Solve 3*z + z + k - 8 = o, 3*z + 5*k = -11 for z. 3 Let n = 89 - 64. Suppose k - 2*d + 2 = 0, 4*k - 2*d = -k + 22. Let u be k/18 + 28/6. Solve 0 = -v - 4*y + u, 3*y = -5*v - 0*y + n for v. 5 Suppose 4*r - l = 3*l - 216, -r + 4*l - 42 = 0. Let x = -58 - r. Solve x = -3*n - 4*s + 4, -5*n - 4*s + 7 = -5 for n. 4 Let x(r) = -r**3 + 6*r**2 + 10*r - 16. Let b be x(7). Suppose -2*l - 8 = -2*q, 2*q = q + b*l + 20. Solve 5*z - 23 = -3*a, -2*z + q*z + 13 = 5*a for z. 4 Let q(m) = -m + 6. Let o(w) = 1. Let u(r) = -5*o(r) + q(r). Let k be u(-3). Let n = 7 - k. Solve -5*f + 0*f = 2*z + 12, n*f = -3*z for f. -4 Let r be 0/(-27) + 0/(-3 - -1). Solve 4*m = -3*u + 8, m - 2 = 4*u - r*m for u. 0 Let p(g) = 2*g**3 - 18*g**2 + 41*g - 1. Let h be p(5). Solve 5*n = -4*m + 15, n - 15 = 5*m - h*n for m. 0 Suppose 3716 - 3620 = 6*d. Solve 0 = -3*a - 4*n - 4, -2*a + 6*n + d = 4*n for a. 4 Let c = 51 - 33. Let i = c - 15. Solve u + 11 = -0*u + i*m, 3*u - 7 = m for u. 4 Let u be 3/2*60/9. Suppose 160 = u*p - 0*p. Let w be (-1*1)/((-2)/8). Solve s = 4*i - 16, 4*s + s - w*i + p = 0 for s. 0 Suppose 0*a - 4*a - 176 = 0. Let b = 70 + a. Suppose d - 3 = -5*z + b, 3*d + z - 17 = 0. Solve 2*w + 11 = -5*r - 5, -d*r - 8 = 0 for w. -3 Suppose 0 = -2*r + 4, -4*l - r + 0*r + 18 = 0. Let g(s) = -5*s**2 + 3*s - 2. Let t be g(1). Let v be (l - 6)*2/t. Solve m - v = 5*d, 2*m + 5 = 7*m for d. 0 Let g(p) = 6*p + 4. Let d(j) = -2*j - 1. Let s(x) = -8*d(x) - 3*g(x). Let n be s(-5). Let q = -6 - -11. Solve 4*k - k - q*c = 15, -2*c = n for k. 0 Suppose -5*z + 24 = -1. Suppose -4*k + 10*i + 15 = 7*i, -2*i = -2*k + 10. Solve 22 = 2*q - k*q + 4*n, z*q = 4*n + 13 for q. 5 Let z be (141 - 142)*(-2 + 1/(-1)). Let w = 0 + 0. Solve w = -3*p - z*i, -10 = -p + 5*i - 4*i for p. 5 Let l be (-120)/(-63) - 24/(-252). Let n be (0 - (2 - 0)) + 7. Solve 3*g + n*p + 22 = 0, 3*g - l*g = 5*p + 6 for g. -4 Let w = -18 + 20. Suppose -5*l - 40 = -5*c, -6*l + w*l - 12 = c. Solve -c*g + 12 = -2*v, -5*v + 2*v = 2*g - 22 for v. 4 Let f(n) = n**2 + 6*n + 4. Let m be f(-5). Let l = m - -1. Suppose l = r - 2*r. Solve z - 3*b - 11 + r = 0, b = 3*z - 17 for z. 5 Suppose 18*f - 4 = 19*f. Let k be (-2)/(f/16*2). Solve k*r + 4*p = -28, -3*p = 2*r + 2*r + 23 for r. -2 Suppose -l + 2 = x, 0 = -4*x - 2*l + 52 - 44. Solve 2*o + 8 = 3*o - 5*i, x = -2*o + i for o. -2 Suppose -8*z + 58 = 11*m - 9*m, 5*z - 43 = -2*m. Solve -2*j - 37 + m = -4*g, -2*g + 3*j = -22 for g. 5 Let i(n) = n**2 - 11*n + 9. Let h be i(5). Let w = h - -26. Solve -w*s - x = -18, s = -4*x + 7 + 8 for s. 3 Let t(c) = c**2 + 4*c - 7. Let n be t(2). Solve 0 = o + l, 8 = -o + 4*o + n*l for o. -4 Let y = 14 + -5. Solve y*p = 4*p + 2*w - 1, -2*p = -3*w - 4 for p. -1 Suppose -w - 4*i + 23 = 0, 2*w - 9 = -2*i + 43. Suppose -w*s = -18*s. Solve 5*f + 12 - 32 = s, 4*f = -4*a + 32 for a. 4 Suppose 0 = 10*j - 58 - 12. Suppose -3*i - j*i = 0. Solve m - 17 = 3*g, -2*g - 3*m + 2*m - 8 = i for g. -5 Let w(t) = 24 - 4*t + t + 0*t + 5*t. Let v be w(-12). Suppose v = 5*b - 2 - 3. Solve 0*k - 5*l - b = k, k = -2*l - 1 for k. -1 Let u = -18 + 20. Suppose -u + 7 = w. Solve -1 = w*z - g + 2, -1 = 3*z - g for z. -1 Let y(g) = 4*g**2 - 13*g - 26. Let r be y(-6). Suppose 224 - r = 2*d. Solve d = 3*k - 2*s, k - s - 18 = 3*s for k. 2 Let x(i) = 68*i + 821. Let o be x(-12). Solve -3*b = -o*s - 9 + 6, 3*b = 3 for s. 0 Let s = 261 - 254. Suppose s*o = 22*o - 210. Suppose 5*v - 9 = 1. Solve -v*b - o = -4*z, 4*z - 8 = -6*b + 2*b for z. 3 Let t = 1 - 1. Suppose -q + 0*q = -9. Let s = q + -9. Solve -2 + s = -k, -3*j - k + 5 = t for j. 1 Let q(z) = 2*z**2 - 10*z + 10. Let g be q(4). Suppose -4 = -3*f + g. Solve -f*m = -n + 2*m - 8, -2*n = 2*m - 14 for n. 4 Suppose -60*j + 48 = -36*j. Solve 2*h = 3*h - 2*s + 11, 8 = j*s for h. -3 Let z = 50 - 53. Let w be z/6*(-6 - -2). Solve w*o = 3*l - 0*l + 2, 30 = 5*o + 5*l for o. 4 Suppose -6*b + 3*b = -39. Let r be 5 - 1 - (b - 14). Solve -p = -0*p - 3*d + 3, -r*p - 4*d + 23 = 0 for p. 3 Let b be (5 - 1)*(-51)/6. Let y = b - -21. Let h = 15 + y. Solve f + 10 = 6*f - 5*j, -18 = -h*f - 5*j for f. 4 Let r = 115 + -103. Let m be (-7)/1*r/(-21). Suppose -5*s + 2*p + 2 = 6*p, -3*s + 4 = p. Solve -2*z + s = -m*l, 4*l - 13 = 2*z - 3*z for z. 5 Suppose 8 = 7*q - 13. Solve -2*s + 3*x + 3 = 0, 0*x + q*x = -9 for s. -3 Let g = -35 + 155. Suppose -3*t + g = 2*t. Solve 0*f - f = 5*k + 14, -t = 4*k + 4*f for k. -2 Let b(m) = -7*m - 12. Let w(r) = -r - 1. Let v(o) = -b(o) + 6*w(o). Let z be v(3). Suppose -5*a + z*a - 8 = 0. Solve -4*p - 4*d = 4, -p + a*d - 1 = -3 for p. 0 Let t be 480/42 + 4/7. Suppose -8*j - 16 = -t*j. Solve 5*l - 5*c + 20 = 0, -15 = l - j*c - 2 for l. -1 Suppose -3*x = 5*f - 9, f + 3*x - 3 + 6 = 0. Solve 3*d + u = 2*u - 4, -5*d + f*u - 4 = 0 for d. -2 Let a = -7 + -16. Let f = -15 - a. Suppose 0 = -g - i + 3*i + 20, g + 4*i - 8 = 0. Solve -2*v = 4*d + g, -3*v - f = -v + 2*d for v. 0 Let t = -676 - -683. Solve -t = -4*v - q, -q - 4*q + 1 = 3*v for v. 2 Suppose 30 = 36*l - 41*l. Let s be l/2 - -1 - -18. Suppose 0 = s*h - 11*h - 140. Solve -3*z - z = -2*w - h, -2*z - 4*w = 6 for z. 5 Let b(k) = k**2 + k - 6. Let d = -52 + 54. Let w be b(d). Solve -5*f + w*f - 2*l = -9, 2*l = 4 for f. 1 Let j be -14 + (10 - -2) + 2*3. Solve o + 5 = -2*p + 1, -o = 5*p + j for p. 0 Suppose z - 6*w - 23 = -3*w, -4*w - 52 = -2*z. Suppose -3*y - 5*y = -z. Solve 2*l - 23 + 5 = y*q, 2*l = -3*q - 17 for l. -1 Suppose -1272 = 23*v - 1341. Solve 2*z + h + 2 = -2, -v*h = 6 for z. -1 Let o be (1/(-2))/(6/492). Let d = 45 + o. Solve -3*p - 32 = -d*x, 2*p = -0*p - 8 for x. 5 Let q(r) = -46*r + 48. Let d be q(1). Suppose 0 = u + 2 - 4. Suppose 0 = u*w - 3*w + 12. Solve -j = d*o + 4*j - 13, 4*j - w = -2*o for o. 4 Let l(u) be the second derivative of u + 0 + 1/6*u**4 - 1/2*u**2 - 3/2*u**3. Let t be l(5). Solve 8*f + 11 = 2*j + 3*f, -t*j - 20 = 4*f for j. -2 Suppose -4*i - 11 = 5. Let h be 0*-2*i/(-8). Solve d + h*g = g - 4, -4*d + 5*g = 17 for d. -3 Suppose -w = -3*x - 12, 2*w = w + 5*x + 18. Let u = w + -4. Let a be 120/56 - u/(-7). Solve 20 = 2*b + b + 2*p, -2*b + a*p = 0 for b. 4 Let z be (-4)/(-14) - (-66)/14. Let s(p) = p - 18. Let d be s(-14). Let c = d + 34. Solve -z*i = -5, -5 = c*l + 2*i - 3 for l. -2 Let m(w) = -w**3 - 11*w**2 - 31*w + 2. Let h be m(-6). Solve 4*a - h = -4*j, -3*j + j = -2*a + 16 for a. 5 Let j = 316 - 314. Solve h + 3*h = w - 23, -4*w = j*h - 2 for w. 3 Suppose 18*b + 2*t = 20*b - 10, 5*b - t = 17. Solve -b = h - 2*z - 4, 0 = 4*z for h. 1 Let m(o) = -o**3 - 17*o**2 + 16*o - 35. Suppose t - 4*t - 54 = 0. Let a be m(t). Solve 7*l - 4*l = -k + a, k = -l + 1 for l. 0 Let p(i) be the first derivative of 2*i**3/3 + 8*i**2 + 17*i - 12. Let h be p(-7). Solve 4*a - h*b = -a - 6, -4*a - b = -2 for a. 0 Let r be (5/(-25))/((-2)/10). Let z = 318 + -318. Solve -3*f = -j - r, -j + f - 3 = -z*f for j. -4 Let i = 1086 + -1084. Solve 12 = 3*g + i*y, 2*y - y + 5 = 4*g for g. 2 Let a = 389 + -384. Suppose -l + 3 = -0. Solve 0*b - l*b + a*n - 17 = 0, -4 = -4*n for b. -4 Let q = 21 - 12. Let p be q/(18/(-4)) - -8. Solve -4*c + 4*u - 4 = 0, c - 4*u + p = -c for c. 1 Suppose -i + 0*i = -5*r + 203, 83 = 2*r - i. Let f = -30 + r. Solve -q + 3 = -3*u - 3, -5*u = f for q. 0 Let r be 1/(-1 + 1 + -1). Let h = 1 - r. Suppose h = -3*x - 3*s + 5, 5*x - 2*s - 33 = 0. Solve 0 = -4*n - x*l + 35, 0
{ "pile_set_name": "DM Mathematics" }
2)/2 Simplify (-4*sqrt(2592))/(sqrt(576) + sqrt(576)*4 + sqrt(576))*-1 + 1 + -3. -2 + sqrt(2) Simplify (-4 + (sqrt(700) - 2*sqrt(700) - sqrt(700)) + -2 + (sqrt(700)*2)**2 + 5 + (2*(2 + sqrt(700) + -1))**2)*4. 240*sqrt(7) + 22412 Simplify ((-1*sqrt(121)*-1 + sqrt(121) - sqrt(121)) + (-4*sqrt(121)*-3 + sqrt(121) - sqrt(121)) + sqrt(121))/(2*6*(sqrt(11) - -5*sqrt(275))). 7*sqrt(11)/156 Simplify (2*(sqrt(1620) - (sqrt(1620) - -4*(sqrt(1620) + sqrt(1620)*3))))/((sqrt(280)/(sqrt(28) - sqrt(7)))/(sqrt(400)*2 - sqrt(400))). -2880*sqrt(2) Simplify (((-2 + sqrt(2736))*1*-1 + -4)**2 + 3)*-2*-2. 192*sqrt(19) + 10972 Simplify (sqrt(408)/(2*sqrt(8)*1)*6)/(((-2*sqrt(144) + sqrt(144))/sqrt(12) - sqrt(12))/(sqrt(24)/(sqrt(6) - (sqrt(6) + sqrt(6)*-2 + sqrt(6) - sqrt(6))))). -3*sqrt(17)/4 Simplify ((1*(4 + -4 + sqrt(243) + (sqrt(243) + sqrt(243) + 2 + 3 - sqrt(243) - sqrt(243))) + -5)*5)**2. 6075 Simplify -3 + (-3 + -4*-4*sqrt(180)*-1*4)**2*2. 4608*sqrt(5) + 1474575 Simplify -2*(1*6*(2*sqrt(108) + sqrt(108)) - (1 + 0 + (sqrt(108) - (1 + sqrt(108)) - sqrt(108))))**2. -77976 Simplify ((-1*(5*sqrt(136)*-2 - (sqrt(136)*2 + sqrt(136))*3))/((-1*sqrt(128) + (2*sqrt(72))/sqrt(9))*3))**2. 6137/36 Simplify ((sqrt(1584) - (sqrt(1584) + 0) - (sqrt(11) + 2 + 0)) + 5 + (sqrt(1331) - (1 + sqrt(1331))) + 0)**2. -4*sqrt(11) + 15 Simplify ((4 + (3 + sqrt(637) + 1 - (2 + sqrt(637) + 4*sqrt(637))))*-6)**2. -12096*sqrt(13) + 368208 Simplify ((4*(sqrt(325)*-2 + sqrt(325))**2 - (-2 + sqrt(325) + 4) - (1 + (sqrt(325) + 2 + sqrt(325) + 1 - sqrt(325)))) + 2)*5. -50*sqrt(13) + 6480 Simplify -4 + sqrt(882)*-2 + (sqrt(72) + -1*sqrt(72))/sqrt(4) + sqrt(18) + sqrt(288)*2 + 0 + -2. -15*sqrt(2) - 6 Simplify ((6*sqrt(187)*-1*-2*6)/((1*sqrt(66)*-2)/((sqrt(6) - (sqrt(6) - 1*sqrt(6)))*-6)))**2. 793152 Simplify (3*(-2*sqrt(76) + sqrt(76)))/(1*sqrt(20)/sqrt(5)) + 1*(3*1*sqrt(209) - sqrt(209))/(sqrt(33)/sqrt(27)). 3*sqrt(19) Simplify (sqrt(1296)*-1*-5 - ((sqrt(1296) + sqrt(1296) + sqrt(1296)*2)*1 - sqrt(1296) - sqrt(1296)))/(-3*(sqrt(144)*2)/sqrt(3)). -3*sqrt(3)/2 Simplify ((sqrt(504) - sqrt(504)*3 - sqrt(504) - sqrt(14)) + (1*sqrt(70))/sqrt(5))/((sqrt(700)*-2*-5 + sqrt(700))*2). -9*sqrt(2)/110 Simplify ((-1*sqrt(1700)*-6 + -5*(sqrt(1700) - sqrt(1700)*3))*-5 + -2)**2 + 2. 3200*sqrt(17) + 10880006 Simplify -1*(sqrt(288)/sqrt(9) - (-4 + sqrt(2)*2)) - (((sqrt(128) - sqrt(128)*1) + 2)**2 + 1). -9 - 2*sqrt(2) Simplify (((sqrt(1666) - -6*(-2*sqrt(1666) + sqrt(1666)))*-3)/(-6*(1*sqrt(162) + sqrt(162))*2))**2 + -5. -5095/5184 Simplify (sqrt(135)/(sqrt(3) + (sqrt(3) - sqrt(30)/(sqrt(20)/sqrt(2)))))/(sqrt(63)/(-4*sqrt(448) + sqrt(448))). -24*sqrt(5) Simplify ((((sqrt(700) + sqrt(700) + 5)*3 - (sqrt(700) + -1 + 4)) + -3)*6 + -4)**2 + 3. 30000*sqrt(7) + 632503 Simplify 5*((sqrt(1573) - 5*-1*sqrt(1573)) + 4*sqrt(1573)*-2) - (2*(sqrt(1573) + 0) - (-2*(-1 + sqrt(1573)))**2). -220*sqrt(13) + 6296 Simplify (-3*(sqrt(288)*3)/sqrt(12))/(sqrt(1452) - 2*sqrt(1452)*2 - sqrt(1452)) + 2. 9*sqrt(2)/44 + 2 Simplify (-4 + 1*(sqrt(720) + 2*sqrt(720)*-5 + 5 + sqrt(720) + (sqrt(720) - sqrt(720)*-2)))**2*-6*-5*5. -18000*sqrt(5) + 2700150 Simplify 1*(2 + (-3*(0 + 1 + (-2*sqrt(833) + sqrt(833) - sqrt(833)) + 2))**2). -756*sqrt(17) + 30071 Simplify 5 + (-3*((sqrt(95)*1*-1 - sqrt(95)) + sqrt(95) - sqrt(95)))/(sqrt(720) - (sqrt(720) + (sqrt(720) + -3*sqrt(720) - sqrt(720)))*-3)*2. -sqrt(19)/5 + 5 Simplify ((sqrt(135)/sqrt(5))/sqrt(9) + (sqrt(363)*-2 - sqrt(363)) - (-3 + -1*sqrt(147))*-6)**2 + 5. 2664*sqrt(3) + 16757 Simplify (((-1*sqrt(99))/sqrt(3) + sqrt(33))/(sqrt(66)/sqrt(6)*5))**2 + (-6*(4*sqrt(363) + sqrt(363) + 0))**2 + -5. 326695 Simplify -1*(((sqrt(180) - 2*sqrt(180))/sqrt(12))/((sqrt(3) + (sqrt(3) - sqrt(9)/sqrt(3)))*2) + (sqrt(45)*-1*2)/(-1*sqrt(225))). sqrt(5)/10 Simplify (-6*(-1 + sqrt(539)))**2*5 + ((-4*sqrt(891))**2 - (4 + sqrt(1100))**2). -2600*sqrt(11) + 110340 Simplify (5*sqrt(65)*2*-1)/(-3*(sqrt(5) - (sqrt(5) + sqrt(80))) + (sqrt(245) - -2*sqrt(245) - sqrt(245) - sqrt(245) - sqrt(5) - sqrt(5))) + 1. -10*sqrt(13)/17 + 1 Simplify 0 + ((sqrt(243) + 0 + 1 - sqrt(243)) + -1*(-1*sqrt(243) + sqrt(243) + sqrt(243))**2)*-6*3*5. 21780 Simplify 0 + (-4*sqrt(60)/(sqrt(4) - sqrt(256)))/((sqrt(100)/(-3*sqrt(2)))/sqrt(10)). -12*sqrt(3)/7 Simplify 1*-5*((sqrt(57)/sqrt(3)*2)**2 + 3) - (sqrt(133) + sqrt(133) + 1*(sqrt(133) - sqrt(133)*-1))/((sqrt(14) - sqrt(56))/sqrt(2)). -395 + 4*sqrt(19) Simplify 4*(((sqrt(320)*-1 + sqrt(40)/(sqrt(2)*-1))*-4)/(4*sqrt(1440) - sqrt(110)/sqrt(44)))**2. 512/361 Simplify 2*(4*sqrt(48)/sqrt(2))/(sqrt(8) - (sqrt(8) - 5*((sqrt(8) - (sqrt(8) + sqrt(128) + sqrt(8))) + sqrt(8)))) + (-1 + (sqrt(432) + 1)*-4 + 1)**2. 1918*sqrt(3)/5 + 6928 Simplify (4*sqrt(200)*-1*4*-6 - (4 + 5*(2*sqrt(200) + sqrt(200)) + sqrt(200) + 4))**2. -12800*sqrt(2) + 1280064 Simplify (sqrt(35)/sqrt(5) + 2 + -3*-6*sqrt(7))**2 - (2 + sqrt(700) + -5 - sqrt(700))*-2. 76*sqrt(7) + 2525 Simplify (5 + sqrt(8) - sqrt(2)) + (sqrt(2) + (sqrt(2) - sqrt(16)/(sqrt(8) + sqrt(24)/sqrt(3))))**2 - (0 + sqrt(32)*-2) - (3 + -2 + sqrt(8) + -3 + 5). 13/2 + 7*sqrt(2) Simplify -3*(sqrt(187) - (sqrt(187) + sqrt(187) + 3*sqrt(187)*-5) - sqrt(187))/(sqrt(99)*-5)*-5. -13*sqrt(17) Simplify (5*(3*(0 + sqrt(75) + 1) + -4)**2*2 + 1)*-5. -33805 + 1500*sqrt(3) Simplify (sqrt(1900) - (0 + sqrt(1900) + 5)**2) + -1 + (-1 + sqrt(1539))**2 - (sqrt(228) + (sqrt(228) + -1*sqrt(228))*5)/(sqrt(120)/(sqrt(10)*1))*-1. -107*sqrt(19) - 386 Simplify -4*(1 + (-6*6*((sqrt(931)*2 + sqrt(931) - sqrt(931)) + 4 + 6*(sqrt(931) + sqrt(931) + 0) + sqrt(931)))**2). -1086001348 - 4354560*sqrt(19) Simplify (sqrt(77)*2*5 - 3*(sqrt(77) - sqrt(77)*2))/((sqrt(99) + sqrt(99)*5*-4)/sqrt(9)). -13*sqrt(7)/19 Simplify (sqrt(52) + sqrt(52) + 1 + sqrt(52) + 2)**2 + (2 + -1*sqrt(1872))**2 + -1 + (sqrt(13) - sqrt(130)/(1*sqrt(10)))*-3 + -4. -12*sqrt(13) + 2348 Simplify (3 + -6*(1 + (-4*-1*sqrt(2057) - sqrt(2057)) + 1))**2*-1 + 3. -666546 - 3564*sqrt(17) Simplify (-2*-2*((sqrt(245) - sqrt(245)*3 - sqrt(245)) + -2*sqrt(20)/sqrt(4)))**2*4*2. 338560 Simplify (1 + -5*sqrt(343) - (-5 + sqrt(343) + -1))**2*-6 + 0. -74382 + 3528*sqrt(7) Simplify (-5*((sqrt(363) - -3*(sqrt(363)*-2 - sqrt(363))) + -2*(-1 + sqrt(363))) - (3*(0 + sqrt(363)) + sqrt(363) + -2*sqrt(363) + -3))**2. -7392*sqrt(3) + 836401 Simplify -5*((-4*sqrt(125) - sqrt(5) - (sqrt(125)*-3 + sqrt(5)) - (3*(sqrt(10)/sqrt(2) - sqrt(5))*2 + 4))*5)**2. -32625 - 7000*sqrt(5) Simplify (-1*(4 + 0 + sqrt(612))*-6 - (sqrt(612) + -1 + 2 + sqrt(612)*-2*-1 + -3))**2. 936*sqrt(17) + 6184 Simplify ((1 + 4*sqrt(11)*1 + (-2 + sqrt(22)/sqrt(2) - sqrt(11)) - 3*sqrt(77)/(6*2*sqrt(7) - sqrt(7))) + 0)**2. -82*sqrt(11)/11 + 1692/11 Simplify (3*-5*sqrt(119) + (sqrt(119) - ((sqrt(119)*5 + sqrt(119))*-3 - sqrt(119)) - sqrt(119)))/(sqrt(7) + sqrt(126)/sqrt(2) - (-5*sqrt(70))/sqrt(10)). 4*sqrt(17)/9 Simplify sqrt(17) + sqrt(153) + -1 + sqrt(17) + sqrt(204)/sqrt(12)*-3 - (-4*-4*(sqrt(136)*3)/sqrt(8))**2. -39169 + 2*sqrt(17) Simplify -4 + ((-1 + sqrt(243) + -5 - sqrt(243))*3)**2 + (6*sqrt(48)/sqrt(2))/(sqrt(8) + sqrt(128)*2). 2*sqrt(3)/3 + 320 Simplify (sqrt(700)*-2*-1 - ((sqrt(700) - (sqrt(700) + 0 - sqrt(700))) + -5))*-5 - (3*sqrt(700)*-2*4*-1)**2. -403225 - 50*sqrt(7) Simplify ((sqrt(100)/(sqrt(2) + sqrt(2)*2) + 2*(sqrt(200)/sqrt(4) + sqrt(50)))/(-5*sqrt(250) + 4*sqrt(810)))**2. 845/1089 Simplify (-5 + (5*(sqrt(108) + 0) - (-3 + sqrt(108) + -2) - -6*(-1 + sqrt(108)*-3)))**2. 1008*sqrt(3) + 21204 Simplify (((6*-1*sqrt(4598) + sqrt(4598))*2)/((sqrt(88)/(sqrt(11)*-2))/(sqrt(64) + 1*sqrt(64))))**2. 58854400 Simplify -2*(5 + -2 + -1 + (-4 + sqrt(500)*1 - (sqrt(500) - (sqrt(500) - (sqrt(500) - sqrt(500)*-1*-4)))))**2. -16008 + 320*sqrt(5) Simplify 5*(3 + ((sqrt(192) + sqrt(192)*-1 + -2)**2 - (5 + sqrt(192)*1))*-4 + 1). 40 + 160*sqrt(3) Simplify -2*-4*2*(0 + (-6*3*sqrt(190))/(3*(sqrt(10) - sqrt(10)*-2)))**2. 1216 Simplify ((1 + sqrt(833) + -2 + -2*sqrt(833) + -2)*-3*4 + -3 + -5)**2. 4704*sqrt(17) + 120736 Simplify (4*-4*((sqrt(1539) + 1 + -2)*2 - ((sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 1)*1)) + sqrt(1539) - (sqrt(1539) + -1 + sqrt(1539))*-6)))**2. -165888*sqrt(19) + 56736000 Simplify (4*(sqrt(125) - (sqrt(125) + (sqrt(125) - (sqrt(125) + -1)) + sqrt(125) + 3)) + 2)**2 - (-1*(0 + sqrt(
{ "pile_set_name": "DM Mathematics" }
9*m Collect the terms in 1458 - 5388 - 4*a + 1307 + 1306 + 1317. -4*a Collect the terms in -1631*v**3 + 591*v**3 + 185*v**3 + 362*v**3 + 546*v**3 + 447*v**3. 500*v**3 Collect the terms in 69622*j - 138707*j + 69085*j - 29*j**3. -29*j**3 Collect the terms in 1637*q - 1643*q + 51 + 64. -6*q + 115 Collect the terms in 1207 + 7*f + 4048 - 5255. 7*f Collect the terms in 40 + 220 - 15*j - 1. -15*j + 259 Collect the terms in 3067*j**3 + 2963*j**3 + 2930*j**3 - 16173*j**3 + 3296*j**3 + 3229*j**3. -688*j**3 Collect the terms in 8*x - 7 - 72*x**2 + 189*x**2 - 118*x**2. -x**2 + 8*x - 7 Collect the terms in -119464 - 119458 + 358384 + 340*w - 119462 - 344*w. -4*w Collect the terms in -212958*b**2 - 314546*b**2 - 338139*b**2. -865643*b**2 Collect the terms in -509 - 25*l - 27 - 21 - 6 - 1448. -25*l - 2011 Collect the terms in 21223*d**2 - 48*d - 53*d + 100*d + 2. 21223*d**2 - d + 2 Collect the terms in 256*s**3 - 165*s**3 - 25*s**3 - 37*s**3 - 37*s**3. -8*s**3 Collect the terms in 0*u - 7*u + 5*u + 218414*u**3. 218414*u**3 - 2*u Collect the terms in 0 + 4 - 4 + 488*z**2 - z**3 - 40*z**2 - 285*z**2. -z**3 + 163*z**2 Collect the terms in -7 - 117454*h**3 - 138999*h**3 + 7. -256453*h**3 Collect the terms in -3290*z + 6739*z - 3 - 3232*z. 217*z - 3 Collect the terms in 410*x - 402*x - 16 + 12*x**2 + 13. 12*x**2 + 8*x - 3 Collect the terms in 3 - 45064*n + 1009*n**2 + 45064*n - 3. 1009*n**2 Collect the terms in -4389888*b + 32*b**2 + 4389888*b. 32*b**2 Collect the terms in 1510*d + 4625*d - 7634*d + 1506*d. 7*d Collect the terms in -181 + 40 + 39 - 8*h + 11 + 42 + 46. -8*h - 3 Collect the terms in 1 - 14773*g**2 - 11742*g**2 - 10740*g**2 + 3 - 2. -37255*g**2 + 2 Collect the terms in -182078981762177*o**2 - 2*o**3 + 182078981762177*o**2. -2*o**3 Collect the terms in -23814329992*x + 23814329992*x - 258*x**2. -258*x**2 Collect the terms in -3*i**2 - 19*i - 39 - 191 + 63 + i**2 + 50*i. -2*i**2 + 31*i - 167 Collect the terms in 200*o**2 - 866*o**2 + 358*o**2 + 257*o**2 + 267*o**2. 216*o**2 Collect the terms in 313*g + 280*g - 12 - 26*g**3 + 4*g**2 + 355*g. -26*g**3 + 4*g**2 + 948*g - 12 Collect the terms in -7464*a + 5083*a + 30 - 30. -2381*a Collect the terms in -128903*r - 48071*r - 7*r**2 + 2 + 0 + 5*r**2. -2*r**2 - 176974*r + 2 Collect the terms in 2140*g - 2063*g + 62 - 60. 77*g + 2 Collect the terms in 226097214*s - 113048604*s - 113048612*s. -2*s Collect the terms in -726*c + 452*c + 214*c - 612*c - 669*c. -1341*c Collect the terms in 195996*d - 393136*d + 197151*d. 11*d Collect the terms in 8407*v - 16813*v - 97*v**2 + 8406*v + 94*v**2. -3*v**2 Collect the terms in 79*l - 69 - 11 + 77. 79*l - 3 Collect the terms in -17*u - 35 - 27 + 68*u - 51*u - 4*u**2 + 64. -4*u**2 + 2 Collect the terms in 3 - 1751*b - 6 + 3 + 769*b + 621*b. -361*b Collect the terms in -70416 - 79*l**2 + 141*l**2 + 70416 - 71*l**2. -9*l**2 Collect the terms in 175994344 - 19*s**2 + 19*s**2 - 6*s**3 - 175994344. -6*s**3 Collect the terms in 56*l**2 - 2170 + 3*l + 4316 - 2146. 56*l**2 + 3*l Collect the terms in 5 - 12 + 2 + 5 - 18938*f. -18938*f Collect the terms in 158304 + 158307 - 316611 - 79245*w. -79245*w Collect the terms in -43957*r**3 - 318*r + 21979*r**3 - 39*r**2 + 21982*r**3 + 39*r**2 + 318*r. 4*r**3 Collect the terms in -61 + 16 - 12*o + 7*o + 5*o + 17*o + 31. 17*o - 14 Collect the terms in 1 + 33*l - 7 + 6 - 7 - 3*l. 30*l - 7 Collect the terms in 547*h - 1078*h + 48*h**3 + 531*h - 380*h**3. -332*h**3 Collect the terms in 2789*j + 447*j - 1285*j. 1951*j Collect the terms in 4561*j + 2 - 9052*j + 4548*j. 57*j + 2 Collect the terms in -160*x - 250 + 4*x**2 + 148 - 4*x**2 - 2*x**2 + 102. -2*x**2 - 160*x Collect the terms in 46*a + 773 + 2407*a - 773 + 179*a. 2632*a Collect the terms in -4*w**2 + 2*w**2 - 522*w**3 + 452*w**3 + 57*w**3. -13*w**3 - 2*w**2 Collect the terms in -896*v - 1600*v - 2963*v. -5459*v Collect the terms in 1443226687639987*z**3 - 1443226687639990*z**3 + 3 - 3. -3*z**3 Collect the terms in -1377*q**2 + 673*q**2 + 75 + 709*q**2 - 98. 5*q**2 - 23 Collect the terms in -13*g**2 - 119*g + 121*g - 659*g**3 - 241*g**3. -900*g**3 - 13*g**2 + 2*g Collect the terms in 19*r - 350 + 100*r**2 + 174 + 176 - 167*r**2 - 16*r. -67*r**2 + 3*r Collect the terms in 188*y**2 + 191*y**2 + 187*y**2 - 79951*y**3 - 566*y**2. -79951*y**3 Collect the terms in -13929*h**3 - 32794*h**3 - 32051*h**3 + 20607*h**3. -58167*h**3 Collect the terms in -225*t**2 - 205*t - 22*t - 53*t - 68*t + 224*t**2. -t**2 - 348*t Collect the terms in 6542*k**3 + 90 - 6541*k**3 - 437. k**3 - 347 Collect the terms in -88630571*m + 88630571*m - 152*m**2. -152*m**2 Collect the terms in -53*t**3 + 15081035*t - 15081035*t + 69*t**2. -53*t**3 + 69*t**2 Collect the terms in 82*v**2 - 32*v - 44*v + 111*v - 55*v**2 - 35*v. 27*v**2 Collect the terms in l - 61 + 117 - 57 - 3227*l**3. -3227*l**3 + l - 1 Collect the terms in 4*q**2 + 22*q**3 + 17*q**3 + 14*q**3 - 7*q**3 + 9*q**2. 46*q**3 + 13*q**2 Collect the terms in 39 - 55 + 12 - 77*l**2. -77*l**2 - 4 Collect the terms in -9383428*y**2 + 2*y - 2*y + 9383088*y**2. -340*y**2 Collect the terms in 533084*w**3 + 727903*w**3 - 203799*w**3. 1057188*w**3 Collect the terms in 31344*q**2 + 1 - 3 + 21139*q**2. 52483*q**2 - 2 Collect the terms in 3*d**3 - 245450*d**2 - 245600*d**2 + 490871*d**2. 3*d**3 - 179*d**2 Collect the terms in -39 - 40*h**2 + 65*h**2 - 25*h**2 - h**3 - 34. -h**3 - 73 Collect the terms in -2 + 384562*t - 192243*t - 192337*t + 2. -18*t Collect the terms in 14*t**3 + 8*t**3 - 7306*t + 0 - 1 - 15*t**3. 7*t**3 - 7306*t - 1 Collect the terms in 20*x - 140*x**2 - 10*x + 1 - 5 + 33*x**2 - 10*x - 2*x. -107*x**2 - 2*x - 4 Collect the terms in 13218410 + 6*s**3 - 6*s**3 + 2*s**3 - 13218416. 2*s**3 - 6 Collect the terms in -22630*x - 740 + 393 + 347. -22630*x Collect the terms in -125 + 4056*j**3 + 3877*j**3 + 125. 7933*j**3 Collect the terms in 309 - 49*i**3 + 733 + 157*i**3. 108*i**3 + 1042 Collect the terms in 192*a**2 - 162*a**2 - 311*a**2 + 147*a**2 + 166*a**2. 32*a**2 Collect the terms in 24518*r**3 - 24477*r**3 + 696*r**2 + 701*r**2 - 1406*r**2. 41*r**3 - 9*r**2 Collect the terms in -37*j - 32*j - 15 + 15 + 121*j - 53*j. -j Collect the terms in 12 + 413*u**3 - 432*u**3 - 10 + 16*u**2. -19*u**3 + 16*u**2 + 2 Collect the terms in -3 + 3043670*z**2 + 5 - 3043733*z**2. -63*z**2 + 2 Collect the terms in -7*t + 131*t**3 - 1501*t**3 - 2502*t**3. -3872*t**3 - 7*t Collect the terms in -62*h**2 + 43*h**2 + 0*h**2 + 45*h**2 + 2*h. 26*h**2 + 2*h Collect the terms in 1009*x**2 - 3931*x**2 - 146*x + 146*x. -2922*x**2 Collect the terms in -9358*x**2 + 202542*x**3 - 202543*x**3 + 9358*x**2. -x**3 Collect the terms in 407742*h**3 + 734713*h**3 + 0*h + 0*h. 1142455*h**3 Collect the terms in -2*s**2 + 2*s**2 - 3*s**2 + 3*s**2 + 14317*s**3 - 14315*s**3. 2*s**3 Collect the terms in 20*t + 12816*t**2 - 5*t + 4429*t**2. 17245*t**2 + 15*t Collect the terms in 849*q + 922*q + 729*q - 3048*q. -548*q Collect the terms in 9*m**3 + 464 + 15*m**3 + 460 - 900 - 27*m**3. -3*m**3 + 24 Collect the terms in 246*h**2 + 106*h**2 - 407*h**2 - 1859*h**2. -1914*h**2 Collect the terms in -4*q - 218 - 5*q + 2*q + 13*q - 8*q + 3*q. q - 218 Collect the terms in -1380 + 1380 + 1143*h. 1143*h Collect the terms in 8259539*y - 8259539*y - 330*y**2. -330*y**2 Collect the terms in -10*d**2 - 5*d**2 + 62797*d - 125593*d + 11*d**2 + 62796*d. -4*d**2 Collect the terms in 6055*m - 1763*m - 2143*m - 2149*m - 54*m**3 - 50*m**3. -104*m**3 Collect the terms in 203*w - 294*w + 199*w - 129*w. -21*w Collect the terms in 0*z - z**2 + 11*z**2 + 11*z**2 + 8*z + z**2 - 11*z. 22*z**2 - 3*z Collect the terms in -42214 + 6072*o**3 + 42214. 6072*o**3 Collect the terms in 192*f**2 + 56 - f**3 - 56 + 192*f**2 - 385*f**2. -f**3 - f**2 Collect the terms in -302 + 46*c - 5*c + 6*c + 301 + 41*c + 8*c. 96*c - 1 Collect the terms in 74*g - 121 + 270 - 116 - 33 - 4*g. 70*g Collect the terms in -2728 - 2730 + 5*l - 5*l + 5458 - 289*l**2. -289*l**2 Collect the terms in y - 4*y + 3*y + 201707*y**3 + 201705*y**3 - 403425*y**3. -13*y**3 Collect the terms in -210316501*j**2 + 834*j**3 + 210316501*j**2. 834*j**3 Collect the terms in -d**2 - 21*d + 5*d - 128 + 13*d + 2*d**2. d**2 - 3*d - 128 Collect the terms in 474*t - 114*t - 1972*t + 338*t. -
{ "pile_set_name": "DM Mathematics" }
= -26.2 + 187.2. Let b = w - 161.00194. What is b rounded to four dps? -0.0019 Let b = -10932 - -19431. Suppose -2*f = -3*f - 4*a - 8496, a + b = -f. Round f to the nearest 1000. -9000 Let g be (-64)/48 - (-77144)/(-12). What is g rounded to the nearest one thousand? -6000 Let u = -235.00001111 - -235. What is u rounded to 7 dps? -0.0000111 Let x be ((-8)/12)/((-2)/(-9)). Let g be 311994/(-10) + x/5. Round g to the nearest 10000. -30000 Let s = -68.6 - -61. Let o = 7.09 - 0.09. Let t = o + s. Round t to 1 decimal place. -0.6 Let n = 162 - 173.3. Let y = n - -12. Let r = -0.6999997 + y. Round r to 7 decimal places. 0.0000003 Let a = 129.4 + -136.27. What is a rounded to 1 decimal place? -6.9 Let c = 9 + -16.8. Let r = c + 7.7612. What is r rounded to three decimal places? -0.039 Let n = -96.4 + 179.3. What is n rounded to the nearest 10? 80 Let b = 3429684 - -7546316. Round b to the nearest one million. 11000000 Let d be (0 - 500)/(7/136360). What is d rounded to the nearest 1000000? -10000000 Let x be 2 + -4 + 2 + 6. Suppose 0 = -4*s + x*s + c - 47999, -c - 24001 = -s. Round s to the nearest ten thousand. 20000 Let o(g) = -234999*g**3 + g**2 + 2*g + 2. Let l be o(-1). Round l to the nearest one hundred thousand. 200000 Let a = 155.004 + -155. What is a rounded to 3 decimal places? 0.004 Let f = 6.27 + 0.49. What is f rounded to the nearest integer? 7 Suppose -16*v - 133700000 = -9*v. What is v rounded to the nearest 1000000? -19000000 Suppose -2*d - 4*n + 18 = 0, 0*n - 30 = -3*d - 5*n. Let q be ((-95)/d)/(358/(-120) + 3). Round q to the nearest 100. -400 Let w(k) = -37*k**2 + 14*k - 60. Let u be w(-30). What is u rounded to the nearest one thousand? -34000 Let t = -6431 - -6430.95561. Let h = 0.0421 + t. Round h to 3 decimal places. -0.002 Let k = 0.1301 + -0.139. Let l = k - -0.006. What is l rounded to three dps? -0.003 Suppose 0 = -5*t + 1115 + 135. Suppose t = 4*s + s. Let f be 600/10*s/3. Round f to the nearest ten thousand. 0 Let f = -12 + 28. Suppose 0 = -0*n - 4*n + f. Let d = n - -45. Round d to the nearest ten. 50 Let m = 1.62 + -1.6200126. What is m rounded to seven decimal places? -0.0000126 Let i(a) = -411*a**2 - 53*a - 20. Let d be i(5). What is d rounded to the nearest 1000? -11000 Let n = 1028816 - 1028787.99965. Let p = -68 + 40. Let i = n + p. Round i to 4 dps. 0.0004 Let g = 3.02 - 3. Let d = 0.38 + g. Let t = 0.4007 - d. What is t rounded to 4 decimal places? 0.0007 Let n = 4.57 + -0.87. Let u = -15 + 16.2. Let k = u + n. Round k to zero dps. 5 Let b = -17583 - -17582.0323. Round b to one decimal place. -1 Let l = -44.5 - -28. Let k = -3.6 - l. Let v = -12.90000059 + k. Round v to 7 dps. -0.0000006 Let j = 1.2 - -2.7. Let m = -1.2 + j. Let z = m + -2.70000057. What is z rounded to 7 decimal places? -0.0000006 Let n = -1.514253945 + -0.185745945. Let m = -1.7 - n. Round m to seven decimal places. -0.0000001 Let x = -5553.066 + 5540. Let y = x + 13. What is y rounded to two decimal places? -0.07 Suppose f - 94 + 95 = 0. Let a be f*(-158 + -2)*(-28625)/10. What is a rounded to the nearest one hundred thousand? -500000 Let m(i) = 208*i**2 - i + 14. Let s be m(6). Suppose 9998 = 4*y + x, 3*y - s = -x - x. Round y to the nearest 1000. 3000 Let p = -538955.1220234 - -538955. Let i = 0.122 + p. What is i rounded to six dps? -0.000023 Let w = 319.99141 - 320. What is w rounded to 3 dps? -0.009 Let w = 481.6 + -481.3517. What is w rounded to 2 decimal places? 0.25 Let o = -632 + 631.9641. What is o rounded to 3 decimal places? -0.036 Suppose a + w + 45 + 45 = 0, -4 = 2*w. Round a to the nearest 10. -90 Let i(u) = -2964999*u**2 - 23*u + 42. Let y be i(2). Round y to the nearest 100000. -11900000 Suppose -4*p + 5 + 7 = 0, -2*r - 3*p = 9718147. Let m = -7440922 + r. What is m rounded to the nearest 1000000? -12000000 Let c be (2 + 2198/(-3))/((-4)/(-7500)). What is c rounded to the nearest one million? -1000000 Let q = 86 - 86.00000091. Round q to seven dps. -0.0000009 Let d = -789.3 - -952. Round d to the nearest ten. 160 Let u = -115.41 - -2.41. Let l = -113.0000073 - u. Round l to 6 dps. -0.000007 Let g = 8.37 - 9.24. Let t = -0.13 - 0.25. Let y = g - t. What is y rounded to one dp? -0.5 Let f = -541.0486 + 602.104. Let s = 61 - f. Round s to 2 decimal places. -0.06 Let o = 23.5 + -224. What is o rounded to the nearest 10? -200 Let c = 7682.499 + -7679. What is c rounded to one decimal place? 3.5 Let f = 12317 - 12226.39. Let c = f - 93. What is c rounded to 1 dp? -2.4 Let t(q) = -q**2 - 18*q - 13. Let j be t(-17). Let x = -2 + j. Suppose -x*w + 2 = -0, 13396 = -2*k - 4*w. What is k rounded to the nearest one thousand? -7000 Let y = 1324.48 + -1221. What is y rounded to the nearest 10? 100 Let m = -0.13 - -0.03. Let a = -585.90144 + 586. Let c = m + a. What is c rounded to 4 dps? -0.0014 Let l = 519.79016 + -0.09016. Round l to the nearest one hundred. 500 Let m = 21381087 - 21381098.200227. Let i = -152.8 - -164. Let f = i + m. What is f rounded to five dps? -0.00023 Let s = 245509127.91276432 - 245509144. Let j = -0.28742268 - s. Let r = j + -15.8. What is r rounded to five dps? -0.00019 Let l = 166.00000128 - 166. Round l to seven dps. 0.0000013 Let f = 87 + -86.59. Let i = -40.41 + f. Let p = i + 40.0000011. What is p rounded to six dps? 0.000001 Let x = 561 - 560.9213. What is x rounded to two decimal places? 0.08 Let r = 2013 - 2013.01. Round r to 1 dp. 0 Let x = -156.06 - -157. Round x to zero dps. 1 Let f = -1856 - -2008.8. Let g = 140 - f. Let v = -12.8000071 - g. What is v rounded to 6 decimal places? -0.000007 Let r be 33 - (3/(-1) - -2). Suppose -r*z + 9480000 = -38*z. Round z to the nearest one hundred thousand. -2400000 Let s = -22105 - -9895. What is s rounded to the nearest one thousand? -12000 Suppose 3*k = -15, -z = z - 2*k + 8176. Let l(g) = -39*g**2 + 17*g + 7. Let m be l(13). Let o = z - m. Round o to the nearest one hundred. 2300 Let a = -0.01348 - 0.01223. What is a rounded to 3 dps? -0.026 Let g = 28.1 - 31. Let i = -62.37 + 59.481. Let p = g - i. What is p rounded to 2 dps? -0.01 Let f = 13.3 + -5.56. Round f to 1 dp. 7.7 Let f = -88211.8755 + 88243.87549908. Let c = 32 - f. What is c rounded to 7 dps? 0.0000009 Let t = -22.657625 + 22.66. What is t rounded to four decimal places? 0.0024 Let k = 3227518 - -2109046. Let q = -3680568 + k. Let g be q/18 + (-2)/(-9). Round g to the nearest 10000. 90000 Let p be -3*1 + -5 + 48. Suppose -3*g - 60 = 4*q, -2*g - 3*q = -4*q + p. Let y be 2/(-12)*g*-198. Round y to the nearest 100. -700 Let j = 740682.951200077 + -133198262.951195477. Let f = 132457554 + j. Let v = 26 + f. What is v rounded to 6 decimal places? 0.000005 Let h = 3.9045 + 43819.0955. Let q = -43819.2114 + h. Let f = -3.8 + q. What is f rounded to three decimal places? -0.011 Let n = -7.18 + 3.16. Let o = -1.8 - -2.22. Let h = o + n. Round h to the nearest integer. -4 Let i(a) = a**3 - 3*a**2 - a + 3. Let j be i(3). Let f be j/(4/(0 - -2)). Suppose f = r + r + 44000. What is r rounded to the nearest ten thousand? -20000 Suppose 3*a - 9 = 0, 0 = 2*r - 0*r + 3*a - 37629. Round r to the nearest 1000. 19000 Suppose 0 = w - 0 - 3. Suppose 2*l - m - 6005 = 0, 2*m = w*l + 4*m - 8990. What is l rounded to the nearest 100? 3000 Let f = -213 - -227.3. Let m = f + -14.30000395. What is m rounded to seven decimal places? -0.000004 Let r = 18.9509 - 19.07. Let j = r - -0.12. What is j rounded to 4 decimal places? 0.0009 Let x = -686125.32900083 + 686125.4. Let g = -1.011 + 0.94. Let h = g + x. What is h rounded to 7 decimal places? -0.0000008 Let w = 37565 + -37002.37. Let h = w - 570.52868. Let o = -7.9 - h. Round o to four decimal places. -0.0013 Let m = -32.8 + 25. Let n = 8 + m. Let z = 5.6 - n. What is z rounded to the nearest integer? 5 Let a = -148552715 - -148552540.999857. Let m = a + 174. What is m rounded to five decimal places? -0.00014 Suppose -m + 3060001 = -4*o - 2*m, 0 = -2*o + 3*m - 1529997. Round o to the nearest one hundred thousand. -800000 Let m be 1205*(-3 + 7*(-14)/(-49)). What is m rounded to the nearest 100? -1200 Let j = -1.62 - 1.18. Let c = -14 - -12.4. Let z = j + c. Round z to zero dps. -4 Let k = 0.706 + 12.284. Let x = 13 - k. Round x to three dps. 0.01 Let y = 65.028 + -65. Let u
{ "pile_set_name": "DM Mathematics" }
se -44*c = -34 + 34. Let m(d) be the second derivative of -11/12*d**4 - 9*d + 0 + 0*d**2 + c*d**3. Let k(a) = a**2. Give m(k(x)). -11*x**4 Let q(j) be the third derivative of -j**5/20 - j**2. Let t(s) = s**2 - s - 10. Let z(x) = 3*x**2 - x - 10. Let l(m) = -t(m) + z(m). Calculate l(q(n)). 18*n**4 Let v(h) = 2*h**2. Let p(j) be the first derivative of -j**4/6 + 2*j - 3. Let k(m) be the first derivative of p(m). What is k(v(z))? -8*z**4 Let w(p) = 23*p - 182*p + 24*p. Let f(k) = -2*k. Give w(f(a)). 270*a Let o(j) = -j. Let n(z) = -2 + 2 - 17*z - 2 - 4 + 1. Calculate o(n(y)). 17*y + 5 Let q(j) = -22*j - 1. Let s(p) = -2*p - 341. What is s(q(n))? 44*n - 339 Let n(c) = -49*c. Suppose 0 = -2*w + 3*w + 3, 0 = 3*x - 2*w - 12. Let u(v) = 2*v**x - 3*v**2 + 1 - 1. Give u(n(i)). -2401*i**2 Suppose -21 = -4*u - 1. Let q be (-20 + u)*(-18)/10. Let m(d) = 10*d**2 - q + 27. Let s(l) = -l. What is m(s(b))? 10*b**2 Let o(p) = -p**2. Let u(m) = -m - 1. Let f(h) = -6*h + 1. Let n(z) = -f(z) + 2*u(z). What is n(o(b))? -4*b**2 - 3 Let z(r) = -r**2 + 11*r - 16. Let t be z(9). Let d(l) = 7*l - 7*l - 18*l**t. Let h(m) = -2*m**2. Calculate d(h(y)). -72*y**4 Let t(c) = c - 41. Let y be t(42). Let k(w) be the first derivative of -y + 0*w**2 - 4/3*w**3 + 0*w. Let n(u) = -u**2. Calculate n(k(q)). -16*q**4 Let i(j) = -10*j + 4*j + 114 + 113 - 228. Let n(r) = 6*r. Determine i(n(g)). -36*g - 1 Let g(b) = 5*b**2 + 5*b**2 + 5*b**2 - 13*b**2. Let q(a) = -9*a**2 - 2*a. Give q(g(l)). -36*l**4 - 4*l**2 Let p(y) = -y + 2. Let m(c) = -1. Let r(f) = -2*m(f) - p(f). Let w(o) = -140*o. What is w(r(l))? -140*l Let u(a) = 2652437*a. Let o(c) = c. Give u(o(h)). 2652437*h Let s(d) = 2*d**2. Let v(u) = u. Let j(o) be the third derivative of -o**4/12 + 12*o**2. Let l(z) = -j(z) - v(z). Give s(l(k)). 2*k**2 Let x(s) = -13*s. Let r be (3 + -4 - 2)*2. Let l(n) = 5*n - 7. Let i(z) = -5*z + 6. Let q(o) = r*l(o) - 7*i(o). Give q(x(u)). -65*u Suppose 0 = 16*b - 17*b + 3. Let y(p) = -54*p + 102*p - 48*p - b*p**2. Let a(h) = 11*h**2. Calculate a(y(r)). 99*r**4 Let h(w) = 54*w + 18. Let m(v) = v**2 - 230. Give h(m(r)). 54*r**2 - 12402 Let s(g) = -5*g. Let p(a) = 10*a**2 - 10*a + 6. Let y be p(3). Let d(n) = y*n**2 - 36*n**2 - 31*n**2. Determine s(d(i)). 5*i**2 Let z(v) = 75*v. Let b(q) = -76*q**2 - 6*q. What is z(b(p))? -5700*p**2 - 450*p Let w(x) = -11*x - 1. Let b(p) = -2*p**2 - 98*p. Calculate b(w(v)). -242*v**2 + 1034*v + 96 Let t(s) be the third derivative of s**4/8 - 7*s**3/6 - 5*s**2. Let g be t(10). Let w(v) = -g + 23 + 2*v. Let y(a) = 3*a. What is y(w(q))? 6*q Let c(m) = -47*m - 2. Let g(k) = -422*k. Calculate g(c(b)). 19834*b + 844 Let s(y) = y**2 + 3*y - 2. Let m be s(1). Let i(j) = -j**m - 8*j**2 - 4*j**2. Let v(z) = z. Give i(v(h)). -13*h**2 Let x(k) = -5*k - 1. Let w(f) = -275*f. What is w(x(q))? 1375*q + 275 Let x(m) = -3*m**2. Let v(k) = 2*k**2 - 2238. What is v(x(h))? 18*h**4 - 2238 Let k(s) = -s. Let p(f) = -10*f + 6. Let c(r) = r - 2. Let b(w) = 3*w**2 + 6*w + 1. Let x be b(-2). Let j(h) = x*p(h) + 3*c(h). What is k(j(g))? 7*g Let u(j) = -158513*j + 158510*j + 1 + 2 - 3. Let v(p) = 29*p**2. Determine u(v(g)). -87*g**2 Let l(s) = 376*s**2 - 2*s + 2. Let r(y) = -374*y**2 + 3*y - 3. Let b(v) = -3*l(v) - 2*r(v). Let x(q) = 2*q. Determine b(x(t)). -1520*t**2 Let g(j) = -820*j**2 + 413*j**2 + 409*j**2. Let z(a) be the second derivative of 29*a**4/12 - a. What is z(g(x))? 116*x**4 Let m(s) = s**2 - 3*s + 3*s. Let z(p) = -14 + 38 - 24 - 2*p**2. Calculate m(z(f)). 4*f**4 Let d(s) = 361*s**2. Let m(g) be the second derivative of g**3/3 + 519*g. What is m(d(i))? 722*i**2 Let k(o) = 8*o. Let m(z) = 103*z**2 - 2*z + 29. Calculate k(m(g)). 824*g**2 - 16*g + 232 Let g(p) = -14714440*p. Let m(f) = -f. What is g(m(k))? 14714440*k Let t(a) be the first derivative of -2*a**3/3 - 1. Let x(p) = -6*p + 19*p - 2*p - 7*p - 9*p. Give x(t(h)). 10*h**2 Let h(d) = 28*d**2 + 28*d - 2. Let l(u) = 4*u**2. Determine h(l(q)). 448*q**4 + 112*q**2 - 2 Let k(g) = 6*g. Let r(j) be the third derivative of 7*j**4/24 - j**2. Let f(n) = 5*n + 6*n - 7*n + 0*n. Let y(c) = -5*f(c) + 3*r(c). Calculate k(y(p)). 6*p Let y(h) = -4*h. Let d(m) = 11*m + 9738. Determine d(y(b)). -44*b + 9738 Let s(j) = -j**2 - 10*j + 9. Let p(r) = r**2 + 2*r - 2. Let t(k) = -5*p(k) - s(k). Let g(b) = b. What is t(g(m))? -4*m**2 + 1 Let d(y) = 3*y - 2*y - 4*y. Let q = -189 - -191. Let a(g) = 1771 - 1771 - 5*g**2 + 2*g**q. Give d(a(n)). 9*n**2 Let w(n) = -13*n**2. Let j(d) = -2*d + 40. Let g(y) = 12*y - 288. Let u(v) = -5*g(v) - 36*j(v). Determine u(w(a)). -156*a**2 Let k(z) = 13*z. Let u(p) be the second derivative of -p**3/6 + 25*p - 6. Give u(k(i)). -13*i Let f(m) = -353*m**2 + 7*m + 15. Let w(k) = -529*k**2 + 11*k + 24. Let b(t) = 8*f(t) - 5*w(t). Let s(l) = -l. Give s(b(u)). 179*u**2 - u Let y(v) = -2*v**2. Let q(d) = 65*d + 6. Let k(t) = 133*t + 14. Let p(o) = 3*k(o) - 7*q(o). What is y(p(n))? -6272*n**2 Let l(d) = d**3 - 11*d**2 - 12*d + 6. Let q be l(12). Let o(s) = 15*s**2 - 4*s**2 - q*s**2. Let u(t) = 7*t. Give u(o(h)). 35*h**2 Let x(u) = 2*u. Let r(v) = v. Let d(t) = -5*r(t) + 4*x(t). Let g(p) be the second derivative of 2*p**3/3 - 2*p - 36. Determine g(d(q)). 12*q Let h(c) = 91*c + 1. Let a(b) = 467*b. Calculate a(h(u)). 42497*u + 467 Let p(l) be the third derivative of l**5/30 + l**2. Let o(i) be the third derivative of -5*i**4/24 - 5*i**2 - 24. Determine o(p(x)). -10*x**2 Let k be 10 + -2*(-30)/(-12). Let m(r) be the third derivative of -8*r**2 + 0*r**4 + 1/60*r**k + 0 + 0*r + 0*r**3. Let v(c) = 2*c. Determine m(v(s)). 4*s**2 Let g(p) = -p. Let t be (420/(-40))/(0 + -1). Let y(l) be the first derivative of 0*l - t*l**2 - 9. What is y(g(x))? 21*x Let p be (-332)/(-36) + -1 - 2/9. Let o(t) = 7*t + p*t - 23*t. Let s(y) = 2*y. Give s(o(m)). -16*m Let z(n) be the first derivative of 2*n**3 - 100. Let a(x) be the third derivative of 1/60*x**5 + 0*x**3 - x**2 + 0 + 0*x**4 + 0*x. What is z(a(p))? 6*p**4 Let g(r) = -14*r**2 + 16*r**2 + 21*r**2. Let y(v) = 9*v + v**2 - 18*v + 9*v. Determine y(g(c)). 529*c**4 Let v(r) = -5*r**2. Let l(j) = 97134*j. What is l(v(h))? -485670*h**2 Let j(t) = 21*t**2. Let s(y) = 0*y - 4*y - 4*y + 6*y. Give j(s(f)). 84*f**2 Let s(c) = c**2. Let v = 15 - 29. Let z = 16 + v. Let q(w) = 0*w - 5*w + z*w + 6*w. Give q(s(a)). 3*a**2 Let n(l) = 14*l - 3. Let v(c) = 7*c + 5. Let i(w) = -8*w - 6. Let x(u) = 5*i(u) + 6*v(u). Calculate n(x(y)). 28*y - 3 Let a(s) = 22*s**2. Let v(m) be the first derivative of 32 - 230*m - m**3 + 230*m. Give v(a(q)). -1452*q**4 Let w(i) = -34*i - 33 + 16*i + 33. Let u(p) = 25*p**2. Determine u(w(r)). 8100*r**2 Let o(j) = 938*j. Let r(f) = 15*f**2 - 14*f. What is r(o(b))? 13197660*b**2 - 13132*b Let l(j) = 2*j**2. Let q(w) = 82434*w**2. Give l(q(y)). 13590728712*y**4 Let q(b) = -3*b**2 + 2. Let t(n) = -n**2 + 1. Let v(a) = q(a) - 2*t(a). Let z(u) be the third derivative of -u**4/8 - 52*u**2. Give v(z(p)). -9*p**2 Let v be (4/(-6))/((-12)/54). Let l(g) = -3*g + 3*g + 2*g - v*g. Let r(b) = b. What is r(l(h))? -h Let g(a) = -4*a**2 + 66. Let m(s) = -3*s - 8. What is m(g(f))? 12*f**2 - 206 Let u(b) be the third derivative of 1/60*b**5 + 0*b**4 + 0*b + 0*b**3 + 0 + 8*b**2. Let j(t) = -2*t**2 + 0*t**2 + 3*t**2. Give u(j(k)). k**4 Let w(o) = 41*o**2 + 2*o. Let v(d) = 1538*d. Calculate v(w(u)). 63058*u**2 + 3076*u Let c(k) be the second derivative of -k**3/6 - 2*k**2 - 65*k. Let i(j) = -2*j**2. Calculate i(c(m)). -2*m**2 - 16*m - 32 Let c(d) be the first derivative of 7*d + 0*d**2 - 1/3*d**3 - 10. Let n(s) be the first derivative of c(s). Let g(q) = -13*q**2. Calculate g(n(k)). -52*k**2 Let d(h) = 6*h**2. Let i(r) = -92032*r. Determine i(d(k)). -552192*k**2 Let m(c) = -290*c - 14. Let o(b) = 21*b + 1. Let d(s) = m(s) + 14*o(s). Let r(z) be the first derivative of z**3/3 + 1. Calculate r(d(y)). 16*y**2 Let c(d) be the second derivative of -13*d**4/12 - d. Let n(u) be the second derivative of -2 + 0*u**2 + 7*u + 0*u**3 + 1/12*u**4. What is n(c(w))? 169*w**4 Let j(s) = -16*s**2. Let f = -7 + 9. Let z(n) = 2*n**2 + 2*n**2 + n**2 - 4*n**f. Calculate j(z(u)). -16*u**4 Let k(l) = 98 - 2*l - 104 + 6. Let p(a) = 1459*a. Calculate k(p(z)). -2918*z Let q(h) = -302*h**2. Let l(w) = -149*w**2. What is q(l(m))? -67047
{ "pile_set_name": "DM Mathematics" }
t is w(14)? 5 Let h(g) = -7*g**2 + 27*g - 72. Give h(3). -54 Let b(s) = 4*s**2 + 101*s + 385. Give b(-21). 28 Let c(x) = -x**2 - 39*x + 319. Give c(-46). -3 Let c(t) = -151*t - 1201. Calculate c(-8). 7 Let s(y) = -2*y**3 - 14*y**2 - 22*y + 3. What is s(-5)? 13 Let r(x) = x**2 - 117*x - 717. Determine r(-6). 21 Let g(x) = x**3 - 12*x**2 - 66*x + 31. What is g(16)? -1 Let l(f) = f**3 + 14*f**2 + 19*f + 21. Calculate l(-11). 175 Let z(n) = 2*n - 8. Give z(-27). -62 Let y(i) = -188*i**2 + 570*i - 10. Calculate y(3). 8 Let r(n) = -n**3 + 12*n**2 + 3*n - 16. Calculate r(8). 264 Let x(i) = -162*i - 967. Determine x(-6). 5 Let b(x) = -131*x**2 - 12*x + 2. Determine b(-1). -117 Let y(x) = -2*x**2 - 51*x + 69. Calculate y(-25). 94 Let g(p) = 23*p**2 - 5773*p + 10. What is g(251)? 10 Let b(v) = 11*v + 42. Give b(-7). -35 Let p(y) = -2*y**3 - 30*y**2 - 18. Give p(-15). -18 Let t(b) = -2*b**3 - 36*b**2 - 68*b - 18. Calculate t(-16). 46 Let s(a) = -3*a**3 + 164*a**2 + 59*a - 223. What is s(55)? -3 Let h(y) = 7504*y - 60027. What is h(8)? 5 Let m(t) = -604*t + 5416. Give m(9). -20 Let a(u) = -1758*u - 22865. Determine a(-13). -11 Let s(r) = -r**2 + 17*r - 27. What is s(14)? 15 Let o(u) = 14*u**2 + 238*u - 1197. What is o(-21)? -21 Let l(h) = 6*h**3 - 7*h**2 + 12*h + 11. What is l(2)? 55 Let q(p) = 44*p + 16. Give q(-3). -116 Let i(w) = w**2 - 19*w + 124. What is i(9)? 34 Let i(t) = 2*t**3 + 240*t**2 - 487*t + 92. What is i(-122)? -30 Let y(h) = h**3 - 74*h**2 + 140*h + 273. Give y(72). -15 Let g(b) = -1077*b - 31228. What is g(-29)? 5 Let m(f) = 3*f**3 - 2*f**2 + 4*f + 23. Give m(-3). -88 Let s(m) = 6082*m - 170284. Give s(28). 12 Let i(v) = 7*v**2 - 137*v - 626. Determine i(-4). 34 Let r(k) = -k**2 - 6*k + 1388. What is r(-40)? 28 Let b(h) = 13*h**2 + 188*h + 59. Determine b(-14). -25 Let b(n) = -61*n - 4. Calculate b(0). -4 Let m(u) = 65*u**2 + 716*u. Calculate m(-11). -11 Let x(c) = c**3 + 4*c**2 - 5. Calculate x(-2). 3 Let c(j) = -40108*j + 160441. Determine c(4). 9 Let z(a) = -2*a**3 - 97*a**2 - 74*a - 1246. What is z(-48)? 2 Let x(s) = 2*s**3 + 29*s**2 - 19*s - 17. What is x(-15)? 43 Let o(b) = -6*b**3 - 9*b**2 - 157*b - 3. Calculate o(0). -3 Let t(c) = c**2 - 5*c - 37. Determine t(-5). 13 Let t(g) = g**2 - 27*g - 41. Give t(0). -41 Let d(n) = n**3 - 9*n**2 - 30*n - 77. Calculate d(12). -5 Let h(b) = -35*b**2 + 380*b + 69. What is h(11)? 14 Let u(q) = -99*q + 10386. Calculate u(105). -9 Let u(w) = 23*w - 106. Calculate u(16). 262 Let l(m) = -3*m + 296. Determine l(38). 182 Let s(k) = 18*k - 1906. What is s(97)? -160 Let m(n) = 22*n**2 - 7*n - 8. Calculate m(-1). 21 Let c(x) = 54*x - 9515. What is c(177)? 43 Let h(j) = 62*j + 110. Calculate h(-2). -14 Let j(x) = -2*x**3 - 185*x**2 + 138*x + 4178. Give j(-93). -7 Let s(o) = 9*o - 70. Calculate s(12). 38 Let i(o) = -6209*o + 24830. Determine i(4). -6 Let m(g) = -49*g + 3413. Determine m(69). 32 Let w(x) = -x**2 - 20*x + 160. What is w(-26)? 4 Let m(o) = o**2 - 35*o - 486. What is m(-12)? 78 Let g(a) = 10*a - 257. Determine g(25). -7 Let r(t) = -8*t**3 - 10*t**2 + 15*t. Determine r(2). -74 Let o(t) = 455*t - 10006. Give o(22). 4 Let r(l) = -5*l**3 - 33*l**2 + 14*l + 29. Calculate r(-7). 29 Let r(l) = -186*l**2 - 3*l + 4. What is r(1)? -185 Let b(v) = 373*v - 23156. What is b(62)? -30 Let o(k) = -k**3 + 5*k**2 + 12*k + 10. Give o(7). -4 Let a(t) = 9*t**2 - 20*t - 55. Determine a(-2). 21 Let b(o) = 39*o**3 + o**2 + 14*o + 11. Determine b(-1). -41 Let c(y) = 257*y + 8228. Calculate c(-32). 4 Let o(n) = -439*n + 1173. What is o(3)? -144 Let j(t) = -t**2 + 55*t + 104. What is j(60)? -196 Let h(r) = -2*r**2 - 18*r + 511. Determine h(-21). 7 Let u(b) = -2*b**3 + 2*b**2 + 23*b - 51. Determine u(2). -13 Let k(f) = f**2 - 10*f - 70. Calculate k(12). -46 Let s(j) = -636*j - 37535. Give s(-59). -11 Let w(a) = 8*a**2 - 95*a - 390. Give w(15). -15 Let z(d) = 333*d**3 + 12*d**2 - 1. Calculate z(1). 344 Let j(d) = 15*d**2 - 723*d - 1451. Give j(-2). 55 Let q(s) = 321*s - 4494. Give q(14). 0 Let z(c) = 86*c - 8854. Give z(103). 4 Let v(j) = j**3 - 27*j**2 + 106*j + 68. What is v(22)? -20 Let c(u) = -11*u**2 - 706*u - 796. Calculate c(-63). 23 Let m(n) = n**3 - 28*n**2 - 32*n + 90. What is m(29)? 3 Let y(o) = -49*o - 139. Give y(-7). 204 Let w(a) = -a**3 + 3*a**2 + 11*a + 7. Determine w(4). 35 Let t(q) = 606*q + 15755. What is t(-26)? -1 Let m(v) = 133*v + 22342. Determine m(-168). -2 Let z(p) = 4*p**2 - 269*p + 5. What is z(68)? 209 Let q(r) = -20*r**2 + 720*r - 6. Give q(36). -6 Let s(a) = a**3 - 5*a**2 - 265*a - 25. What is s(19)? -6 Let p(k) = -266*k + 73. Calculate p(0). 73 Let i(r) = 5*r**2 - 10*r - 5. Calculate i(-2). 35 Let h(f) = -59*f + 841. Determine h(15). -44 Let i(x) = -x**3 - 18*x**2 - 21*x + 132. What is i(-14)? -358 Let i(a) = 4*a**2 + 314*a - 2043. Determine i(6). -15 Let l(g) = -g**2 - 35*g - 3. Give l(-23). 273 Let c(l) = -638*l - 4449. What is c(-7)? 17 Let x(o) = -o**3 - 33*o**2 - 32*o - 116. What is x(-32)? -116 Let y(r) = -2*r**2 - 222*r + 444. What is y(-113)? -8 Let b(l) = -l - 109. What is b(-15)? -94 Let h(x) = -37*x**3 + 41*x**2 + 21*x - 21. Give h(-1). 36 Let m(w) = 2*w**2 - 80*w - 1146. Determine m(51). -24 Let h(x) = -x**2 + 17*x + 46. Calculate h(24). -122 Let m(g) = -54*g - 2632. Determine m(-51). 122 Let h(d) = 8*d**2 - 56*d - 52. Determine h(8). 12 Let h(x) = -2*x**3 - 5*x**2 + 43*x - 120. Calculate h(3). -90 Let l(m) = -m**3 + 27*m**2 - 77*m - 38. What is l(24)? -158 Let z(c) = 15*c - 506. Calculate z(35). 19 Let s(g) = g**3 - 108*g**2 - 208*g - 1301. Give s(110). 19 Let d(y) = 752*y - 11180. Calculate d(15). 100 Let f(w) = -w**2 - 1953*w + 33510. Give f(17). 20 Let y(t) = t**3 + 28*t**2 - 88*t + 174. Calculate y(-31). 19 Let u(q) = -q**3 - 41*q**2 - 118*q - 20. What is u(-38)? 132 Let c(w) = w**3 + 7*w**2 - 46*w - 307. What is c(-6)? 5 Let p(g) = -37*g + 361. Calculate p(11). -46 Let a(z) = 10*z**3 + 3*z**2 + 35*z - 38. Give a(1). 10 Let d(r) = -r**3 - 4*r**2 + 28*r - 12. What is d(-7)? -61 Let b(z) = 7*z**2 + 65*z + 144. What is b(-6)? 6 Let c(f) = -29*f - 170. Determine c(-21). 439 Let x(z) = z**2 + 38*z - 1024. Give x(18). -16 Let m(q) = -25*q + 69. Give m(11). -206 Let t(v) = v**3 - 6*v**2 - 98*v + 76. Determine t(13). -15 Let x(y) = y**2 - 26*y + 167. What is x(6)? 47 Let z(v) = 54*v - 922. Determine z(17). -4 Let c(g) = 18*g + 226. Give c(-13). -8 Let s(x) = -8*x**2 + 1049*x - 5168. Determine s(126). -2 Let b(f) = 3*f**2 - 21*f + 35. What is b(3)? -1 Let f(u) = -103*u**2 - 2. What is f(3)? -929 Let r(v) = -74*v**2 - 47*v + 5. Give r(-1). -22 Let s(v) = 262*v - 24364. What is s(93)? 2 Let q(j) = j**2 - 23*j + 23. What is q(24)? 47 Let u(m) = -m**2 - 59*m + 305. Give u(5). -15 Let g(r) = 4108*r + 135566. Calculate g(-33). 2 Let h(p) = -p**3 + 81*p**2 - 820*p - 79. What is h(12)? 17 Let j(p) = -431*p + 2958. Calculate j(7). -59 Let b(n) = 48*n - 368. What is b(10)? 112 Let g(w) = 558*w - 1677. Determine g(3). -3 Let d(h) = 56*h - 208. Determine d(5). 72 Let y(q) = -8*q**3 + 38*q + 43. Give y(-2). 31 Let u(a) = -73*a - 2402. Determine u(-33). 7 Let g(l) = 5*l**3 - 4*l**2 + l + 9. Calculate g(-2). -49 Let k(x) = 3*x**2 + 17*x - 21. Give k(-5). -31 Let o(g) = -9*g**3 + 9*g**2 + 10*g + 2. What is o(-1)? 10 Let p(r) = -r**3 + 8*r**2 + 5*r - 18. What is p(-5)? 282 Let f(b) = 19*b**3 + 48*b**2 - 5*b - 2. Determine f(-2). 48 Let y(l) = -3*l**2 + 79. Determine y(-5). 4 Let d(t) = -27*t + 2196. Determine d(71). 279 Let c(x) = -66*x + 302. Calculate c(8). -226 Let p(t) = -t**2 + 278*t - 2943. What is p(11)? -6 Let f(i) = i**2 + 7*i + 17. Give f(-5). 7 Let c(g) = g**2 - 46*g - 235. Give c(52). 77 Let d(w) = w**3 + 58*w**2 + 118*w - 2587. What is d(-55)? -2 Let b(n) = -3*n + 357. Determine b(103). 48 Let t(v) = 30*v**2 - 1021*v + 27. Determine t(34). -7 Let d(x) = x**2 - 53*x + 376. Calculate d(42). -86 Let j(n) = n**3 - 23*n**2 + 73*n - 19. What is j(8)? -395 Let c(s) = s**2 + 44*s - 46. Calculate c(-6). -274 Let m(v) = -179*v - 82. What is m(0)? -82 Let r(d) = -3170*d + 9467. What is r(3)? -43 Let l(h) = 53*h + 53. Determine l(-3). -106 Let q(b) = 2*b**2 - 36*b + 162. Give q(8). 2 Let f(l) = -l**2 + 438*l + 3575. Give f(-8). 7 Let b(g) = 482*g - 2245. Calculate b(5). 165 Let x(w) = w**3 -
{ "pile_set_name": "DM Mathematics" }
100120220 In base 11, what is 901 + -19303? -18502 In base 16, what is 5853 - 2a0b? 2e48 In base 15, what is 22e89 - 75? 22e14 In base 5, what is -120121433 + -134? -120122122 In base 16, what is -12595 - -21? -12574 In base 5, what is 0 + -112424121203? -112424121203 In base 11, what is -204791 + -a? -2047a0 In base 6, what is 224314454 - -5? 224314503 In base 6, what is 22400250152 - 2? 22400250150 In base 14, what is b75829 - 18? b75811 In base 6, what is -12 + 1031334? 1031322 In base 2, what is 110101111101011100 - -1000011100100? 110111000001000000 In base 15, what is -5 - -32a6b3? 32a6ad In base 10, what is 8 + -59341994? -59341986 In base 7, what is -1040112011 + -5? -1040112016 In base 4, what is -1 - 332103023010? -332103023011 In base 6, what is -2 + -21010251215? -21010251221 In base 16, what is -66 + -3695b? -369c1 In base 6, what is 11135233 + 2321? 11141554 In base 9, what is 2615113 - 11? 2615102 In base 4, what is -3213313310233 + 11? -3213313310222 In base 16, what is -52e4 - 92e? -5c12 In base 9, what is 3 - 148252010? -148252006 In base 15, what is 41352b - 6? 413525 In base 14, what is 5 - -26ad4d8? 26ad4dd In base 3, what is -20202222102 + -101? -20202222210 In base 2, what is -111100000001101110 + 1001100? -111100000000100010 In base 11, what is 93 - -7029? 7111 In base 13, what is 68599 - -119? 686b5 In base 2, what is -1 + -101100010010100001101110? -101100010010100001101111 In base 12, what is -2a202 - -a8? -2a116 In base 13, what is 108 - -21078? 21183 In base 14, what is -112 - -1ba23? 1b911 In base 5, what is -13102 + 224004? 210402 In base 12, what is -444 - 32a05? -33249 In base 7, what is 112620 + -310? 112310 In base 5, what is 243203 + 14443? 313201 In base 2, what is -11000011 - -10011111101100110? 10011111010100011 In base 4, what is -13032031010 - -2? -13032031002 In base 5, what is -2431 - -23001322? 22443341 In base 10, what is -4 + -1723981? -1723985 In base 4, what is 10002303 + -110210? 3232033 In base 13, what is 78cb - -7483? 12081 In base 10, what is -973448 - -54? -973394 In base 2, what is -1100 + -100001011101001100000111? -100001011101001100010011 In base 15, what is -1 - 117002d? -117002e In base 11, what is -4 + -5248628? -5248631 In base 7, what is 3035421 - -111? 3035532 In base 10, what is -22186 + -1232? -23418 In base 15, what is 5d9b620 - 2? 5d9b61d In base 11, what is 1357a - 348? 13232 In base 5, what is 330213 + -12230? 312433 In base 5, what is 42 + -114114130? -114114033 In base 8, what is -12507106 + -63? -12507171 In base 8, what is -6330137 - 3? -6330142 In base 12, what is 458758 + -702? 458056 In base 10, what is -1 - 40252048? -40252049 In base 2, what is -10 + -1100010001011011000011? -1100010001011011000101 In base 5, what is -400 - -4113414? 4113014 In base 15, what is -59bb - -6c4? -52e7 In base 6, what is -103 + 23331421? 23331314 In base 2, what is -1011100100101001100 + -11001011? -1011100101000010111 In base 10, what is 5 - 236855544? -236855539 In base 10, what is 24231718 + 0? 24231718 In base 15, what is -2 + 13a7326? 13a7324 In base 6, what is 550523 + -1540? 544543 In base 13, what is -49a5c - a? -49a69 In base 14, what is -b858 - 4b? -b8a5 In base 5, what is 1213102 + -403013? 310034 In base 3, what is 21012111210212002 + 10? 21012111210212012 In base 2, what is 10100 + 10110110010111011011000? 10110110010111011101100 In base 15, what is -3a - -134cb? 13491 In base 11, what is 1237a + -1754a? -5180 In base 12, what is a4 + 9672a? 96812 In base 10, what is 0 - -3171672? 3171672 In base 4, what is 22121232330202 + -11? 22121232330131 In base 9, what is 756 - 5306? -4440 In base 10, what is -20 + 153008? 152988 In base 16, what is 797fd8 + cb? 7980a3 In base 11, what is -32683 - 491? -33064 In base 10, what is -4 + 24106392? 24106388 In base 2, what is -101011000010010110101 + 111011? -101011000010001111010 In base 3, what is -221222200 - -201200? -221021000 In base 8, what is -4 + -534742? -534746 In base 16, what is -233f36 + 8? -233f2e In base 16, what is -4a47fba - -6? -4a47fb4 In base 3, what is -102001110 - -2021020? -22210020 In base 4, what is -222203 + 31112313? 30230110 In base 16, what is -31b2b + -5? -31b30 In base 12, what is 5 - -30abb68a? 30abb693 In base 7, what is 1 + -405252? -405251 In base 15, what is 9082 - -2170? b202 In base 5, what is 0 - -22243130244? 22243130244 In base 2, what is -1010000 - 1110001010001110011100? -1110001010001111101100 In base 6, what is 1010 + 1030205? 1031215 In base 9, what is 6134365 - 3? 6134362 In base 2, what is 101000010101 + 11100011011001101? 11101000011100010 In base 2, what is -110111 - -111100001001111000010? 111100001001110001011 In base 5, what is -10 - 414221323? -414221333 In base 7, what is -3 + -42431213? -42431216 In base 6, what is 31 - -11511125? 11511200 In base 8, what is 4 - -1552402473? 1552402477 In base 9, what is 67431 - -147? 67578 In base 4, what is 130 + -1330320? -1330130 In base 7, what is 0 - 1152254064? -1152254064 In base 3, what is -12 + -1002020011121? -1002020011210 In base 11, what is 68552 - 97? 68466 In base 11, what is -249 - 32694? -32932 In base 14, what is -7a - -80c216? 80c17a In base 8, what is -6 - 115306757? -115306765 In base 15, what is 48524 - 72? 484a2 In base 2, what is 110001000010100010001111110 + 0? 110001000010100010001111110 In base 16, what is -6a0 - 8be7? -9287 In base 7, what is -321 - 434433? -435054 In base 8, what is 146135 - 11250? 134665 In base 10, what is 110079 + 230? 110309 In base 11, what is 123272879 - 2? 123272877 In base 9, what is 2023 + 2443? 4466 In base 16, what is 4 - a26b4b? -a26b47 In base 3, what is 10101102 + 12011121? 22120000 In base 4, what is 2311100 - 12203031? -3231331 In base 5, what is 11 + -31221244433? -31221244422 In base 16, what is -14 + -1b1808? -1b181c In base 8, what is 3 + -23345110? -23345105 In base 13, what is 73c7 - b6c? 6558 In base 4, what is 2313001 - 30102310? -21123303 In base 5, what is -1 - -1144420102? 1144420101 In base 9, what is 205 + -436484? -436278 In base 7, what is 2 + -55022112? -55022110 In base 11, what is 159 + 1316501? 131665a In base 14, what is 2 - -d46110? d46112 In base 6, what is 1104 + 4411330? 4412434 In base 14, what is -33750 + -4a? -3379a In base 6, what is 3325211 + 131? 3325342 In base 12, what is 35b5794 - -2? 35b5796 In base 6, what is 2425244 + 45? 2425333 In base 15, what is 4e8774b5 - -5? 4e8774ba In base 8, what is -167123465 - 3? -167123470 In base 8, what is 2125537 - -1? 2125540 In base 3, what is 21221020021021 + 11? 21221020021102 In base 14, what is -3c50dbb + -4? -3c50dc1 In base 7, what is 46 - -6142200? 6142246 In base 11, what is -5 - -24aa80a? 24aa805 In base 2, what is -1010110 - 10010110001111? -10010111100101 In base 7, what is -52 - -2112655? 2112603 In base 12, what is -209424 + -184? -2095a8 In base 8, what is 4323 - -415? 4740 In base 5, what is 3 - 403244433123? -403244433120 In base 6, what is -354 - -22011221? 22010423 In base 4, what is -1013030133 - 1011? -1013031210 In base 16, what is -10b - 9b73? -9c7e In base 6, what is 5035 + 4043351? 4052430 In base 14, what is -bb - abc29? -abd06 In base 12, what is -7b8 - 100a0b? -101607 In base 4, what is 111002333 + -21200? 110321133 In base 12, what is -876604 - -13? -8765b1 In base 12, what is 7 - -1108270? 1108277 In base 7, what is -5 - 32312435? -32312443 In base 7, what is 2620100 + -2222? 2614545 In base 5, what is 10331141 - -1440? 10333131 In base 5, what is -141312 - -21224? -120033 In base 5, what is -414024344432 + -10? -414024344442 In base 14, what is 22 + -3a94? -3a72 In base 16, what is 4b262 + -c? 4b256 In base 11, what is 1875a55 - -24? 1875a79 In base 14, what is a8 - 15d767? -15d69d In base 15, what is -2c521e + 0? -2c521e In base 2, what is -101010000011111010 - 101011? -101010000100100101 In base 11, what is -1a8 + -15433? -15630 In base 3, what is 100210 - 10212011? -10111101 In base 10, what is -239850 - 236? -240086 In base 5, what is 110321 - -2442411? 3103232 In base 5, what is -212124402104 - -3? -212124402101 In base 9, what is -1641 + -4640? -6381 In base 13, what is -74b4 - 654? -7b38 In base 14, what is -b - -7dc6d? 7dc62 In base 15, what is -5b7 + -e40? -1507 In base 5, wha
{ "pile_set_name": "DM Mathematics" }
(d) be the third derivative of d**5/20 - 5*d**4/24 - 9*d**2. Find the second derivative of s(w) wrt w. 6 Let n(q) = 1 - 2 + 5 + 2 - 5*q. Let j(c) = 9*c - 11. Let b(i) = -3*j(i) - 5*n(i). What is the derivative of b(o) wrt o? -2 Let f(a) = -5*a**2 + 6*a + 23. Let o(t) = -t - 1. Let w(z) = f(z) + 6*o(z). What is the derivative of w(y) wrt y? -10*y Let y(u) be the third derivative of 5*u**8/336 - u**5/60 - 3*u**2. What is the third derivative of y(m) wrt m? 300*m**2 Let k(n) be the first derivative of 3*n**4/2 + 5*n**3/3 + 8. Find the third derivative of k(o) wrt o. 36 Let k(h) be the third derivative of -h**7/840 + h**6/180 - h**3/3 + 2*h**2. Let f(g) be the first derivative of k(g). Find the third derivative of f(s) wrt s. -6 Let f = 1/8 - -1/24. Let b(u) be the third derivative of 0 + 0*u**4 + 0*u**5 + f*u**3 + 0*u + u**2 - 1/120*u**6. Differentiate b(r) wrt r. -3*r**2 Let s(z) be the first derivative of 15*z**2/2 - 4*z + 30. Differentiate s(a) with respect to a. 15 Let f(k) = -48*k + 10 - 4*k**2 + 39*k - 3*k**2. Let d(s) = s**2 + s - 1. Let u(j) = 18*d(j) + 2*f(j). Differentiate u(g) with respect to g. 8*g Let v be (2/6)/((-2)/(-24)). Find the second derivative of -6*c + 4*c + 5*c - v*c**2 wrt c. -8 Let o(n) be the third derivative of -n**9/504 - n**6/60 - n**3/6 - 2*n**2. Let j(t) be the first derivative of o(t). Find the third derivative of j(p) wrt p. -360*p**2 Suppose -o - s = -4*o + 6, 8 = 4*o - s. Find the third derivative of -o*k**4 + 2*k**4 - 6*k**2 + k**4 + 2*k**4 wrt k. 72*k Find the second derivative of 4*y - 28*y**3 + 18*y**3 + y wrt y. -60*y What is the third derivative of 11*z**6 - 26*z**6 + 42*z**2 - 52*z**2 wrt z? -1800*z**3 Let g(v) be the first derivative of v**6/120 - v**4/12 - 2*v**2 - 1. Let m(b) be the second derivative of g(b). What is the second derivative of m(d) wrt d? 6*d Let l(b) be the first derivative of -b**9/1008 + b**6/360 + 4*b**3/3 - 3. Let w(p) be the third derivative of l(p). Find the third derivative of w(a) wrt a. -180*a**2 What is the first derivative of -79*h - 7*h**4 + 79*h - 6 wrt h? -28*h**3 Let n(z) = 7*z. Let p(t) = 13*t + 13. Let i(j) = -7*j - 7. Let s(k) = -11*i(k) - 6*p(k). Let o(h) = -n(h) - 3*s(h). What is the first derivative of o(g) wrt g? -4 Let b(s) be the first derivative of 0*s**4 + 1 + 0*s**3 - 1/5*s**5 + 3/2*s**2 + 0*s. What is the second derivative of b(j) wrt j? -12*j**2 Suppose 1 = -3*c + 7. Let v(p) be the first derivative of -2*p - 1/3*p**3 + 0*p**2 - c. Find the first derivative of v(z) wrt z. -2*z Let h(u) = -10*u**4 - 9*u**3 - 9*u**2 - 13. Let a(p) = -p**4 - p**3 - p**2 - 1. Let v(i) = 18*a(i) - 2*h(i). Differentiate v(r) with respect to r. 8*r**3 Let f(a) = 5*a**4 - 2*a**2 - 3*a. Let k(v) = -5*v**3 + 16*v**4 + 5*v**3 - 10*v - 6*v**2. Let p(h) = -10*f(h) + 3*k(h). Find the third derivative of p(w) wrt w. -48*w Let c(s) = -24*s - 96. Let w(x) = -5*x - 19. Let m(f) = -2*c(f) + 11*w(f). Differentiate m(n) with respect to n. -7 Let u(a) be the second derivative of a**6/15 - 3*a**2/2 + 11*a. What is the first derivative of u(x) wrt x? 8*x**3 Let a(d) = 7*d**4 + 8*d**2 - 2*d - 2. Let t(l) = 28*l**4 + 31*l**2 - 9*l - 9. Let g(c) = 9*a(c) - 2*t(c). Find the third derivative of g(z) wrt z. 168*z Let b(a) be the third derivative of a**7/14 + 11*a**4/24 + 26*a**2. What is the second derivative of b(u) wrt u? 180*u**2 Let a(p) be the third derivative of -p**8/560 + p**4/12 + 5*p**3/6 + 5*p**2. Let f(w) be the first derivative of a(w). Differentiate f(m) with respect to m. -12*m**3 Let x(g) = 17*g - 6. Let y(f) = -6*f + 2. Let q(l) = 3*x(l) + 8*y(l). Let h(v) = -4*v + 3. Let c(a) = 5*h(a) + 6*q(a). Find the first derivative of c(d) wrt d. -2 Let j(x) be the third derivative of 0*x + 0*x**4 + 2/3*x**3 - x**2 + 0 + 1/15*x**5. What is the derivative of j(p) wrt p? 8*p What is the second derivative of -9*m + 61 - 61 + 8*m**2 wrt m? 16 Let o(p) be the second derivative of -2/21*p**7 + 0*p**5 + 0*p**4 + 0 - 2*p + p**3 + 0*p**6 + 0*p**2. What is the second derivative of o(m) wrt m? -80*m**3 Let n(h) = 25*h**4 - 6. Let c(z) = 5*z**4 - 1. Let p(t) = 11*c(t) - 2*n(t). What is the first derivative of p(y) wrt y? 20*y**3 Let n(q) = -q**3 - 7*q**2 - q - 2. Let s be n(-7). What is the second derivative of x**s - 3*x + x**5 - 2*x + 4*x wrt x? 40*x**3 Suppose -3*l = 9 - 21, 3*y = 4*l - 7. Let j(k) be the second derivative of 0*k**4 + k - 1/20*k**5 + 0*k**y + 0 - 3/2*k**2. Differentiate j(m) wrt m. -3*m**2 Let s(h) = -6*h**2 - 12*h + 3. Let r(u) = u**2 - 1. Let b(w) = -3*r(w) - s(w). Find the second derivative of b(d) wrt d. 6 Suppose k - 6 = -2*v, 3*v - v + 4*k - 18 = 0. What is the derivative of 0*m**2 + 3*m**3 + 0 + 0*m**2 + v wrt m? 9*m**2 Let j(p) be the first derivative of -11*p**3/3 - 5*p + 2. What is the derivative of j(f) wrt f? -22*f Let a(j) be the first derivative of -12*j**5/5 - 17*j**3/3 + 15. What is the third derivative of a(v) wrt v? -288*v Suppose -4*h = -7*h + 6. Suppose t + 3 = -0*y + 2*y, t + 5*y - 11 = 0. What is the second derivative of -t + 4*i**2 + h - 1 - i wrt i? 8 Let z(m) be the second derivative of 0*m**2 - 6*m - m**3 - 1/12*m**4 + 0. Find the second derivative of z(t) wrt t. -2 Let y = -9 + 15. Let w = 8 - y. Find the third derivative of -2*r**2 + r**3 - w*r**2 + 0*r**2 + r**3 wrt r. 12 Suppose -g - 21 = 5*t - 2*g, t = 2*g + 3. Let r(s) = -6*s + 1. Let q(c) = -3*c + 1. Let j(b) = t*q(b) + 3*r(b). Find the first derivative of j(l) wrt l. -3 Let p(l) = -63*l**3 - 49*l - 161. Let u(z) = 4*z**3 + 3*z + 10. Let t(s) = -3*p(s) - 49*u(s). Differentiate t(h) with respect to h. -21*h**2 Let i(o) be the second derivative of -o + 0*o**5 + 1/6*o**4 + 0*o**3 + 0*o**7 - 1/56*o**8 + 0 + 0*o**6 + 0*o**2. Find the third derivative of i(f) wrt f. -120*f**3 Let o(j) be the second derivative of j**6/30 + j**5/30 - 2*j**2 + 5*j. Let n(k) be the first derivative of o(k). Find the third derivative of n(q) wrt q. 24 Let m(y) = y**2 + 3*y - 8. Let b be m(-6). Find the second derivative of 21*j - 41*j + 11*j - b*j**2 wrt j. -20 Let k(i) be the third derivative of i**7/105 - i**5/10 - 5*i**2. What is the third derivative of k(f) wrt f? 48*f Let h(r) = r - 5. Let q be h(6). Let k be 2/(-2 - -3 - -1). Find the first derivative of 3 - o - q - k wrt o. -1 Let l(n) = 8*n**2 + 10*n - 3. Let g(k) = 7*k**2 + 9*k - 2. Suppose -5*q = 6 + 4. Let s(x) = q*l(x) + 3*g(x). Find the second derivative of s(j) wrt j. 10 Let l(q) be the first derivative of 3*q**5/20 + 3*q**2/2 - q + 2. Let o(z) be the first derivative of l(z). Find the first derivative of o(i) wrt i. 9*i**2 Let g(z) be the third derivative of -z**6/40 + 7*z**3/6 - 2*z**2. Find the first derivative of g(t) wrt t. -9*t**2 Suppose y + m = -2*m + 16, 0 = 3*m - 12. What is the third derivative of 2*x**4 + x**4 + 3*x**2 - y*x**4 wrt x? -24*x Let f(z) be the third derivative of 0*z**4 + 0*z**6 + 1/168*z**8 + 0 + 3*z**2 + 0*z**7 + 0*z + 0*z**3 + 1/20*z**5. Find the third derivative of f(k) wrt k. 120*k**2 Let x(d) be the first derivative of d**7/140 - d**5/30 + 2*d**3/3 - 5. Let g(c) be the third derivative of x(c). Find the second derivative of g(k) wrt k. 36*k Let t(z) = -2*z**3 - 4*z + 3. Let s(d) = 4*d**3 + 7*d - 5. Let w be 28/2*3/6. Let u(r) = w*t(r) + 4*s(r). Differentiate u(p) with respect to p. 6*p**2 Let m(y) be the second derivative of -y**5/4 - y**4/6 - y**3/6 - y. Let l be m(-1). What is the derivative of 2 + 4*x + 2*x**3 - l*x wrt x? 6*x**2 Let s be (10/(-15))/(6/(-63)). What is the first derivative of 5*p**2 + 9 + 3*p**2 - s wrt p? 16*p Suppose 4*l + 0 = -p + 3, 5*l - p = 15. Suppose 0 + 4 = y. Find the second derivative of l*q**y - q**4 - q - q wrt q. 12*q**2 Let j(y) = -7*y**4 - 3*y**2 + 5*y. Let u = -15 + 23. Let t(f) = 11*f**4 + 4*f**2 - 8*f. Let k(z) = u*j(z) + 5*t(z). What is the third derivative of k(n) wrt n? -24*n Let r = -5 + 5. Suppose 8 = 4*k - r*k. Find the third derivative of -k*h**6 - h**2 + 2*h**2 + 3*h**6 wrt h. 120*h**3 What is the derivative of 2*d**4 - 11*d**4 + 2*d**4 - 6*d**4 - 13 wrt d? -52*d**3 Let t(u) = u**2 + u. Let y(c) = -13*c**2 + c**3 + 16*c**2 + 0*c**3 + 5*c. Let r(b) = 3*t(b) - y(b). What is the second derivative of r(x) wrt x? -6*x Let o(s) = -6*s**2 + 0*s**3 - 5*s - 6 - 3*s**3 + s**2. Let u(g) = g**3 + g**2
{ "pile_set_name": "DM Mathematics" }
erivative of d**3/3 - 5*d**2/2 - 6*d + 142. Calculate a(5). -6 Let a(u) = -8*u - 4. Suppose 2*r - 2*g = 6 - 4, 0 = -g - 5. What is a(r)? 28 Suppose 49*a - 145 - 2 = 0. Let t(d) = d**2 + d - 6. Calculate t(a). 6 Let u(t) = -t**3 + 8*t**2 - t + 11. Let c be u(8). Suppose 5 + 1 = c*z. Let n be 0/(z - -2) - -3. Let g(d) = 2*d + 3. Determine g(n). 9 Let c be 88/24 + 2/6. Let m be (c/(-12))/((-2)/(-6)). Let b(w) = 27*w**2 + 2*w + 5. Let q(z) = -40*z**2 - 3*z - 7. Let l(t) = 7*b(t) + 5*q(t). Determine l(m). -10 Let j(x) = 2*x - 2. Let r(h) = h**2 - 9. Let q be r(6). Let a = q + -25. Calculate j(a). 2 Let d(v) = -8*v + 2. Let y be ((2 - 7) + 3)*2/1. Calculate d(y). 34 Let m(u) be the second derivative of -u**4/12 + 2*u**3 - 3*u**2/2 - 145*u - 1. Calculate m(8). 29 Let t = -49 - -85. Let q be (81/t)/(1 - 6/8). Let b(g) = -g**3 + 9*g**2 - 4. Determine b(q). -4 Let k be -1 + 5/7 + 893/(-133). Let t(i) = -i**3 - 7*i**2 + 2*i + 7. Give t(k). -7 Let b(d) = -4*d - 3. Let r = -135 + 133. What is b(r)? 5 Let s(g) = 2*g**2 - 2*g + 9. Let p(l) = l**2 - l + 4. Let x(u) = -7*p(u) + 3*s(u). Determine x(4). -13 Let n = 813 - 839. Suppose 0 = -z + 2*z - 27. Let r = z + n. Let i(c) = 15*c**3 - 2*c**2 + 1. Calculate i(r). 14 Let z be -8 - ((-4)/(-4) - -2). Let a = 15 + z. Let r(d) = 26*d - 2 - 2*d**3 + d**3 - 25*d + a*d**2. What is r(3)? 10 Let t(u) be the third derivative of -u**6/60 - u**5/60 + u**4/12 - u**3/2 + 39*u**2 + u. Calculate t(2). -19 Let c(n) be the second derivative of n**3/3 - n**2/2 + 2*n - 5. Determine c(-2). -5 Let u(l) = 0*l**2 + 1 - 2*l**2 + l**3 + 79*l - 81*l. Let p be u(3). Let k(h) = -h**3 + 4*h**2 + 2*h - 1. Calculate k(p). 7 Let o(q) = 5*q + 1 - q**2 + 5*q - 14*q - q. Calculate o(-6). -5 Let b(n) be the first derivative of -29*n**2/2 + 9*n - 1. Let x(o) = 15*o - 5. Let c = 6 - -1. Let j(h) = c*x(h) + 4*b(h). Calculate j(1). -10 Let z(x) = -x**3 - x**2 - x + 4. Let n(r) be the second derivative of -r**4/6 - 2*r**3/3 + 2*r**2 - 2*r. Let q be n(-4). Let v = q - -12. Give z(v). 4 Let s(m) = 7*m**2 + 11*m + 9. Let q(k) = -4*k**2 - 6*k - 5. Let r(v) = 5*q(v) + 3*s(v). What is r(-3)? 2 Let p = -22 + 8. Let i = p + 7. Let f(s) = -s**3 - 2*s**2 - s - 2. Let d(l) = 3*l**3 + 5*l**2 + 3*l + 5. Let a(z) = i*f(z) - 2*d(z). What is a(-4)? 0 Let q(b) be the first derivative of -b**3/3 - b**2 - b + 3. Let s be q(-2). Let j(m) = -10*m**2 - m - 1. What is j(s)? -10 Let d = -24 + 24. Let c be d - (-1)/((-1)/(-6)). Let w(g) = g**2 - 6*g + 6. Give w(c). 6 Suppose 21*o - 51*o = -4*o - 208. Let s(q) = 9 - 3*q + 0*q + q. Calculate s(o). -7 Let t(m) be the third derivative of -m**6/120 - 2*m**5/15 + 5*m**4/12 + m**3/6 - 98*m**2. What is t(-9)? -8 Let l = -90 + 88. Let z(f) = 2*f**3 + 2*f**2 + f - 2. What is z(l)? -12 Let x(m) = -28*m - 3. Let b(n) = 13*n + 1. Let d(i) = 13*b(i) + 6*x(i). Determine d(3). -2 Let n be 5/(25/20) + (25 - -1). Let q(s) = 4 + 1 + n*s - 31*s. Determine q(-5). 10 Let j(i) = i**3 + 13*i**2 - 14*i + 6. Suppose n + 22 = 4*c, 5*c = -5*n - 26 - 34. What is j(n)? 6 Let y(s) = s**2 + 3*s + 3. Let b = 2 - 5. Let j be y(b). Let q(p) = -p**3 - 2 - p**2 + 0*p**j + 0*p + 0*p**3 + 3*p. What is q(-3)? 7 Let y(a) = a**2 + 8*a + 5. Let h = 180 - 187. What is y(h)? -2 Let u(x) = x**2 - 6*x + 8. Let l be ((-1)/4*5)/((-32)/128). Determine u(l). 3 Let b(d) = 2*d**3 - 4*d**2 + d + 3. Let h(s) = -6*s**3 + 10*s**2 - 3*s - 7. Let m(g) = 5*b(g) + 2*h(g). Let c(r) = r + 8. Let v be c(-7). What is m(v)? -2 Let b(c) = -c**3 - 3*c**2 - 2*c - 2. Suppose 0 = y + 4*x - 10, 3*x = 10*y - 13*y + 3. What is b(y)? -2 Let k(v) be the third derivative of v**8/20160 + v**7/5040 - v**6/360 - v**5/5 + 15*v**2. Let s(x) be the third derivative of k(x). Calculate s(-3). 4 Let o(l) = 5*l - 1. Suppose 0*n - 5*n - 5*u - 10 = 0, 4*n + u = -11. Let z = n - -9. Suppose t + p - z = 5*t, 5*t + 3*p = -16. Determine o(t). -11 Let g(d) be the third derivative of -d**7/5040 + d**6/80 - 17*d**5/30 + 18*d**2. Let y(u) be the third derivative of g(u). Give y(0). 9 Let r(t) be the first derivative of t**4/24 - 7*t**3/3 + 3*t**2/2 - 6. Let n(m) be the second derivative of r(m). Give n(7). -7 Let h(r) = 5 - 8 - r + 19 + 12. Determine h(16). 12 Let s(t) = -t**2 + 8*t - 2. Let b(a) = a**2 - 2*a - 18. Let l = 107 - 101. Let k be b(l). Give s(k). 10 Let q(o) = -o + 2. Let z(d) = d**3 + d**2 - d + 42. Let h be z(0). Suppose 38 + h = 5*y. Let u = -11 + y. Calculate q(u). -3 Let s(j) = -j**3 + 3*j**2 + 6*j - 5. Let q be s(4). Suppose -2*c - 1 = -c - l, 0 = -4*c + 3*l - 1. Let m(u) = -c*u + u + 2 + 0*u + 3*u. What is m(q)? 8 Let z(s) = s**2 + 6*s - 14. Let p be z(-8). Let u(d) = 2 + 4*d**p + 5*d - 5*d**2 + 0*d. Determine u(6). -4 Let l(j) be the first derivative of -25*j**3/3 - 11*j**2/2 + 9*j + 15. Let c(m) = 13*m**2 + 6*m - 5. Let o(i) = 11*c(i) + 6*l(i). Calculate o(1). -8 Let s(h) = -3*h - 29. Suppose 26 + 190 = -18*k. Determine s(k). 7 Let g be (-2 - -1) + 50/(-25). Let m(u) = -3*u - 7. Calculate m(g). 2 Let z(u) = -u**3 + u + 4 + 0 + 5*u**3 + 7*u**2 - u**3. Let f(a) = -4*a**3 - 8*a**2 - a - 5. Let q(b) = 4*f(b) + 5*z(b). Determine q(3). 3 Let y(p) = 3*p**2 + 8*p + 4. Let v be y(-6). Let b(k) = -65 - v - k + 125 - k**2. Calculate b(-3). -10 Let l(y) = 8*y + 6. Let g(t) = 37*t + 24. Let s(z) = -4*g(z) + 18*l(z). What is s(11)? -32 Let d(g) be the second derivative of -g**7/2520 + g**6/720 + g**5/10 - 5*g**4/4 + 10*g. Let m(u) be the third derivative of d(u). Determine m(0). 12 Let p(g) be the second derivative of g**5/20 - g**4/2 + 2*g**2 - 6*g. Let l(u) = u**2 - 2*u + 3. Let n be l(3). Give p(n). 4 Let d(w) be the third derivative of w**6/120 + 17*w**5/60 - w**4/24 - 11*w**3/6 - 7*w**2. Let n be d(-17). Let i(t) = t - 12. Give i(n). -6 Let n(k) be the third derivative of -k**4/8 - 5*k**3/2 + 206*k**2. Calculate n(-6). 3 Let a(g) be the second derivative of -g**5/4 - g**4/12 + g**3/6 - g**2/2 + 103*g. What is a(1)? -6 Let m(k) be the third derivative of -k**6/120 + 11*k**5/60 + 2*k**3 + 14*k**2 - 2. Give m(11). 12 Let t(n) be the third derivative of -1/60*n**5 + n**3 + 5*n**2 + 0*n**4 + 0 + 0*n. Let r(o) be the first derivative of t(o). Give r(-2). 4 Suppose 243*i - 246*i + 18 = 0. Let t(r) = r**3 - 8*r**2 + 8*r - 4. What is t(i)? -28 Let o be ((-24)/(-9))/((-12)/18). Let i(n) = 18*n + 4. Give i(o). -68 Let f(k) = -k + 3 + 2*k - 3*k. Suppose 2*c + 0*c + 10 = 0. Let q = -3 - c. Calculate f(q). -1 Let m(w) = -3*w**2 + 2*w + 1. Let h be m(-1). Let v(i) = -i**2 + 2 - 23*i - 8*i + 27*i. Let p be v(h). Let r(j) = -3*j**2 - j - 1. Calculate r(p). -15 Suppose -p + 4*w = -19, -3*p - 3*w + 8*w + 36 = 0. Let r(i) = -13*i**3 - 2*i + 20*i**3 - 7*i**2 - 6*i**3 + 6. Calculate r(p). -8 Let g(s) = 4*s**3 + 11*s**2 + 10*s - 15. Let o(p) = p**3 + 3*p**2 + p - 2. Let f(m) = -g(m) + 6*o(m). What is f(-4)? 3 Let r(j) = -4*j + 1. Let s(v) = 28*v - 5. Let t(i) = 6*r(i) + s(i). Give t(-2). -7 Let v(k) = -4*k**3 - 8*k**2 + 4*k - 4. Let w(b) = b**3 + b. Let y(m) = v(m) + 5*w(m). Suppose 2*u = 5*g - 27, -2*g + 35*u = 39*u - 30. Determine y(g). 10 Suppose 4*y - 72 - 9 = -5*d, 0 = -4*d - 2*y + 66. Let n(b) = 8*b**3 - 4*b**2 - 1. Let s(m) = 23*m**3 - 11*m**2 - 3. Let j(g) = d*n(g) - 6*s(g). Calculate j(1). -3 Let f(u) be the second derivative of 0 - 1/6*u**3 + 35/12*u**4 + 9*u - 8*u**2. Let g(y) = -7*y**2 + 3. Let l(n) = 2*f(n) + 11*g(n). What is l(1)? -8 Let q(k) = -3*k - 2*k - 695 + 693. Determine q(1). -7 Let y(s) = s**2 + s - 1. Let n(m) = -3*m**2 + 3*m. Suppose -5*d = 2*o - o + 19, -5*o = -4*d - 21. Let z(l) = o*n(l) + 2*y(l). Calculate z(2). 4 Let b(o) be the first derivative of -20 - 1/2*o**2 + 10*o. Determine b(8). 2 Let j(r) be the third derivative of -r**2 + 0 + 0*r - 1/8*r**4 + 2/3*r**3 + 1/60*r**5. Let w = 3 - 0. Calculate j(w). 4 Let z(q) be the first derivative of -q**4/4 + q**3/3 - q**2/2 + 12*q - 45. Calculate z(0). 12 Let h(l) = l - 13 - 11 + 16. What is h(7)? -1 Let f(d) be the second derivative of -2*d**3/3 - d**2 - 35*d. Let n be f(0). Let v(q) = q + 2. Calculate v(n). 0 Let w(i) = -2*i**2 + 3*i + 2. Suppose 0 = 4*m - 12. What is w(m)? -7 Let m = -349 + 355. Let x(i) be the second derivative of 0 - 1/12*i**4 + m*i + 5/2*i**2 - 1/6*i**3. Give x(0). 5 Let h(d) = d. Let c(x) = 8*x. Suppose -2*q + 3*t - 1 = 0, -6*t + 4
{ "pile_set_name": "DM Mathematics" }
/3)/i*i))/(i/(i*i*i**(-1/2)*i))*(i*i/((i/(i*i**(8/3)))/i)*i*i)/i*i**(1/2)*i assuming i is positive. i**10 Simplify (r/(((r*r**(-4))/r)/r)*r)**(-10/7)/((r/(r/((((r/r**(1/4))/r)/r)/r)))/r)**(-24) assuming r is positive. r**(-88) Simplify ((r*r**(-1/3)*r)/r)**(2/17)*((r*r**14)/r)/r**(-2/19) assuming r is positive. r**(13744/969) Simplify (h/(h**(4/9)/h*h*h)*h*h**(2/29)*h)/(h**11*h**0) assuming h is positive. h**(-2447/261) Simplify (i**(5/7))**(-2/11)*i**(-1/20)/(i/i**(5/11)) assuming i is positive. i**(-1117/1540) Simplify r**5/(r/r**(-3))*(r**(2/9))**32 assuming r is positive. r**(73/9) Simplify c/c**11*(c*c**(8/7))/c*c**(-15)/(c**16/c) assuming c is positive. c**(-272/7) Simplify (g/(g**7/g))**(-1/26)*(g**(-7))**(-25) assuming g is positive. g**(4555/26) Simplify (j**(-3)/j)**(1/49)/(j**(1/18)*j**(-12)) assuming j is positive. j**(10463/882) Simplify (n**(-1)*n**(-1/3))/((n**(1/3)/n)/n)**(-5/12) assuming n is positive. n**(-73/36) Simplify (p**(-20)/p**(-14))/(p**(1/15)*p*p**(-1/11)) assuming p is positive. p**(-1151/165) Simplify v**26*v*v**(2/27)*v*v/v**29*v**(-31) assuming v is positive. v**(-835/27) Simplify x**(2/15)*x**(2/21)*(x**(-2/3)/x)**(3/31) assuming x is positive. x**(73/1085) Simplify (r**4/(r**(-16)*r))/(r**(-19)*r**(-1/7)) assuming r is positive. r**(267/7) Simplify (((x*x**(-9))/x*x)/((x/x**11)/x*x))/(x**(-4/9)/x**14) assuming x is positive. x**(148/9) Simplify ((j/(((j/j**(1/3))/j)/j))/(j**(3/5)/j*j)*(j**(-1))**14)**(-2/9) assuming j is positive. j**(368/135) Simplify ((t*t**(-31))/t*(t/(t/(t/(t/(t*t**(2/15)/t))))*t)/t)**7 assuming t is positive. t**(-3241/15) Simplify (((a**1*a)/a)/a)**(1/49)/(a**(-5/4)/a*a**(-3/5)) assuming a is positive. a**(57/20) Simplify ((s*s**(-1/4))/((s/(s*s*s/(s*s**(2/11))*s))/s))/(s**(-7)/s**13) assuming s is positive. s**(1037/44) Simplify ((o*o**(-2/9))**21*(o/(o/o**1)*o)**(1/51))**(-19) assuming o is positive. o**(-15865/51) Simplify n**33*n*n/n**(2/11)*(n**9*n)/((n/n**11)/n*n) assuming n is positive. n**(603/11) Simplify (j*j*j*j**(-10/3))/j*j**(-2/21)/j*(j*j**(1/2)*j)/j**(-10/7) assuming j is positive. j**(3/2) Simplify (f**(-3/11)*(f/(f**(2/3)/f))/f*(f/(f/f**(-1/6)))/f**5)**(3/4) assuming f is positive. f**(-337/88) Simplify ((m*m/m**(-2/17)*m)/((m**15*m)/m))**(-13) assuming m is positive. m**(2626/17) Simplify (((g/(g/((g**2*g)/g)))/g**(1/2))/(g**(-1/5)/(g*g**(-2/13)*g)))**(14/5) assuming g is positive. g**(3227/325) Simplify ((v**(3/5)*v)**4/(v/(v*v**(3/2)))**(-33))**(-1/58) assuming v is positive. v**(431/580) Simplify ((t**7/t)/((t/t**(-2/7))/t)*t**(-2/5)*t**(1/5))**(-23) assuming t is positive. t**(-4439/35) Simplify ((g**0*g/(g/g**(-6/11)*g*g*g)*g)/(((g*g**(-2/27)/g*g)/g)/g*g*g**(1/3)))**(-29) assuming g is positive. g**(24157/297) Simplify (h/(h*h/h**(-5)*h)*h)**(-8/3)/((h/h**(-3/4))/(h*h**(-7/2)*h*h)) assuming h is positive. h**(55/4) Simplify ((p**(-1/3)*p)/p**(-2/15)*p/(p**2*p)*p**(-1/4)*p*p*p)**(-4/39) assuming p is positive. p**(-31/195) Simplify (o**(-1/4))**(-43)*o**(-20/3)/(o/(o**27/o)) assuming o is positive. o**(349/12) Simplify ((i**(-1))**(-43)/(i/i**(-6)*((i**(-6)/i)/i)/i))**(-4/15) assuming i is positive. i**(-12) Simplify ((x*x**(-3)*x*x)/(x*x/((x/x**(-2/29)*x*x)/x)))/((x*x**22)/((x*x**(18/7)*x*x*x)/x*x)) assuming x is positive. x**(-3321/203) Simplify (((y/y**(-1))/y)/y*y*y**(-2/15))/((y/((y/y**(-11))/y))/y**(-2/9)) assuming y is positive. y**(479/45) Simplify ((w*w**(2/7))/w**(-1))/(w/(w*w**(2/35))*w*w*w/w**(1/36)) assuming w is positive. w**(-793/1260) Simplify ((l**1*l*l**(-4))/(l**(3/7)/(l/l**(1/2))))**(-5/9) assuming l is positive. l**(15/14) Simplify (z*z**(-16)*z)/(z/z**(2/25))*z/z**(-4)*z**(-14) assuming z is positive. z**(-598/25) Simplify (i/(i*i*i**17))**(-26)*i**(7/8)*i*(i*i**(-33))/i assuming i is positive. i**(3495/8) Simplify ((i*(i*i**(-1/22)*i)/i*i*i**(-7/3))**11)**(-21) assuming i is positive. i**(-287/2) Simplify ((b**(-3))**(4/5)/(b/(b*b**(-3)*b)*b**(-1/15)))**(-1/5) assuming b is positive. b**(13/15) Simplify (((v**14*v)/v**(-3/8))**(3/28))**(12/11) assuming v is positive. v**(1107/616) Simplify (s**2*s*s**0)/(s**1*s)**41 assuming s is positive. s**(-79) Simplify (z**(-15/4)/z**(18/11))/((z*z*z*z*z/(z**(-6/11)/z))/(z*z**(-2/9)*z)) assuming z is positive. z**(-4021/396) Simplify ((i/(i/(i/(i*i/(i*i**(-7)/i*i)))*i*i)*i**(-3))/((i**(2/7)/i)/i**9))**(-26/7) assuming i is positive. i**(416/49) Simplify ((f**(-2/3)*f*f**(1/4))/(f**5/(f/((f/f**(3/8)*f)/f*f))))**5 assuming f is positive. f**(-605/24) Simplify (p**(4/11)/(p*p*p**(-3)))/(((p**19/p)/p)/p*p**5) assuming p is positive. p**(-216/11) Simplify (h**4)**(-16/5)/(h/(h*h**3))**(-2/127) assuming h is positive. h**(-8158/635) Simplify (((z*z**(-1/2)/z)**(-8))**20)**(1/9) assuming z is positive. z**(80/9) Simplify (r/(((r/((r*r*(r*r**(2/5))/r)/r))/r)/r*r)*r)**(-1/5)*((r*r**(2/9))/r)**(-45) assuming r is positive. r**(-267/25) Simplify (f**(2/3))**6*f**14/(f/(f/(f*f**(-2/27)))) assuming f is positive. f**(461/27) Simplify (w*w**(-4))/(w*w/w**13*w)*((w/((w*w*w**(-5))/w))/w*w)/(w*(w*w**15)/w) assuming w is positive. w**(-4) Simplify (l**(3/4)*l*l)**13*(l**36*l)/l**(-9) assuming l is positive. l**(327/4) Simplify ((m**(-1/2))**47/(m**(1/4)*m/(m*m*m*m**(-10)*m*m)))**(2/41) assuming m is positive. m**(-119/82) Simplify (((t**(5/4))**(-12/5))**33)**(-29) assuming t is positive. t**2871 Simplify (o**(-3/5))**25*(o/(o*(o/(o/o**(-1)))/o)*o)**(2/147) assuming o is positive. o**(-733/49) Simplify ((l*l/(l/(((((l**(-1)*l*l)/l)/l)/l*l)/l)))**(5/7)*l/(l*l**(-2)*l*l)*l*l*(l**(4/9)/l)/l*l)**21 assuming l is positive. l**(46/3) Simplify g**(-17)*g**(7/5)*g*g**(-15)*g*g*g/(g/(g**(-1/30)/g)) assuming g is positive. g**(-859/30) Simplify ((q**(1/4))**(2/41)/(q*(q*q**(-1/6)*q*q)/q*q)**(-14))**(2/43) assuming q is positive. q**(13205/5289) Simplify (u**(1/10)/((u/(u/(u**(-4)*u))*u)/u))/((u*(u/(u*u/((u*u/(u**0*u))/u))*u)/u)/u)**(-8) assuming u is positive. u**(-49/10) Simplify (((m*m**(-1)/m*m)/m)**42/(m*(m/(m/((m*m**(2/7)*m)/m)))/m)**(-50))**(-16) assuming m is positive. m**(-2496/7) Simplify (s/(s**(-5)/s)*s)/s*s*s/(s**(-10)*s)*(s/(s*s**10))/s**(-11) assuming s is positive. s**19 Simplify (s**3*s/(s*s**(-12)*s))/(s**0)**(-8/7) assuming s is positive. s**14 Simplify ((w**(-3/2)*w*w**(-18)*w)**(-2/7))**(-40) assuming w is positive. w**(-200) Simplify ((d/d**16)/d**(-4/15))/(d**12)**(-1/15) assuming d is positive. d**(-209/15) Simplify (q**(-3/11)/q)/(q/((q*((q**(2/5)*q)/q)/q)/q))*(q/q**(7/4))/q*q**(-7) assuming q is positive. q**(-2557/220) Simplify ((b/(b*b*b**(-12)))/(b/(b*b**11)))/((b/((b*b**(6/11)*b*b)/b))/b**2) assuming b is positive. b**(281/11) Simplify (((c*c/c**1)**(2/105))**(-10))**(-1/12) assuming c is positive. c**(1/63) Simplify (((n**33*n)/n)/(n**(-17/2)/n))/(n**(-4)/n**(-1/4)) assuming n is positive. n**(185/4) Simplify ((r**(-9)*r)/(r*r**(9/7)*r))/((r/(r**(5/3)*r))/r**(-5/2)) assuming r is positive. r**(-509/42) Simplify (((c/(c/(c*c/(c*c**(-7/4))*c)))**(3/5))**18)**6 assuming c is positive. c**243 Simplify (f/f**3)**(-3/17)/(f**(-7)*(f/(f*f**(-1/4)))/f) assuming f is positive. f**(551/68) Simplify ((d/(d*d*d*d**(-26)))/(d*d**15*d))**(6/17) assuming d is positive. d**(42/17) Simplify ((g**(-2/13))**19)**(1/4) assuming g is positive. g**(-19/26) Simplify ((p/(p*(p/(p**1*p))/p)*p)/p*p*p*((p/(p*p*p**(9/10)*p))/p)/p*p*p)/(((p**(-3)*p)/p)/(p/((p/((p*p**(-2/13))/p*p))/p))) assuming p is positive. p**(773/130) Simplify (o*o*o**(2/19))/(o*(o*o**(-15))/o)*(o**(-3/7)/o)/(o*o/o**(-1/4)) assuming o is positive. o**(6611/532) Simplify ((p**(2/9)*p**(-2/7))**(-2/3))**(-13) assuming p is positive. p**(-104/189) Simplify ((((x/(x/(x*x*x**(-1/11)))*x*x*x)/x)/(x/x**(4/5)*x*x*x))**(-7/6))**(-2/45) assuming x is positive. x**(91/2475) Simplify (g/g**(-1))**(-6)*(g/((g*g**(11/2)/g)/g))**(-49) assuming g is positive. g**(319/2) Simplify (a/a**(-8/5))/(a**(-10)/a*a*a)*(a/(a/(a**(-11)/a)))/(a**(-1)/a*a) assuming a is positive. a**(3/5) Simplify y**12*y/y**14*y*(y*y/(y*y*y/(y/(y*y*y**(3/2)*y))*y)*y)/y**(-5/8) assuming y is positive. y**(-31/8) Simplify ((a**(-1/11)/a*a)/(a/a**(-4/9)))**(5/2) assuming a is positive. a**(-380/99) Simplify ((n**0*n)**(-4/7)*((n/(n*n*n/(n/n**1)))/n)**33)**(-3/20) assuming n is positive. n**(2091/140) Si
{ "pile_set_name": "DM Mathematics" }
**2 + 18*o - 11. What is f(12)? -1667 Let l(w) = -6205*w + 55169. Calculate l(9). -676 Let n(c) = 980*c + 9180. Determine n(-10). -620 Let m(s) = -376*s + 35384. Give m(94). 40 Let z(s) = s**2 + 40426*s - 161716. What is z(4)? 4 Let i(h) = 5*h**3 + 864*h**2 - 176*h - 4899. What is i(-173)? -4380 Let j(o) = 20*o**2 + 399*o - 1659. Give j(4). 257 Let i(t) = -2*t**3 - 114*t**2 + 670*t + 38194. Determine i(-57). 4 Let v(z) = 35256*z + 9695403. What is v(-275)? 3 Let h(s) = s**2 + 57861*s + 2775034. Calculate h(-48). 10 Let t(j) = 67971*j - 135954. Determine t(2). -12 Let k(s) = -3*s**2 + 316*s - 1662. Calculate k(99). 219 Let o(u) = -351*u + 71207. What is o(203)? -46 Let t(m) = -8*m**3 + 422*m**2 + 78*m + 1436. Calculate t(53). -48 Let b(i) = 39*i**2 - 200*i - 23. Determine b(8). 873 Let s(n) = -560*n - 1219. Calculate s(0). -1219 Let i(t) = -73*t**2 - 3934*t - 10752. Determine i(-51). 9 Let w(i) = 151*i - 26126. Give w(178). 752 Let g(r) = -82047*r + 1558885. Give g(19). -8 Let o(i) = 94245*i - 13. Calculate o(0). -13 Let t(c) = 559*c + 8028. What is t(-14)? 202 Let g(z) = -45825*z + 183313. Give g(4). 13 Let b(o) = o**2 - 6182*o + 945942. Calculate b(157). 17 Let b(m) = -m**3 - 543*m**2 + 316290*m - 760. Give b(353). -54 Let i(c) = -9*c**2 - 8*c + 175. Determine i(6). -197 Let a(c) = -12*c**2 + 175*c - 2176. Determine a(16). -2448 Let g(z) = -2*z**3 + 28*z**2 + 670*z - 9450. What is g(14)? -70 Let r(v) = 18*v**2 - 106*v - 823. Determine r(10). -83 Let d(g) = -g**2 - 8*g + 1987. Give d(48). -701 Let a(k) = -k**3 - 4*k**2 + 126*k - 560. Calculate a(10). -700 Let u(l) = 14506*l - 14510. Calculate u(1). -4 Let l(y) = -177*y**2 - 1344*y + 2. What is l(-8)? -574 Let o(r) = -r**2 + 205*r - 9635. Determine o(72). -59 Let k(s) = -s**3 - 126*s**2 - 2481*s + 4454. What is k(-101)? 10 Let o(j) = -17*j**2 - 3359*j - 13427. What is o(-4)? -263 Let s(n) = -n**3 + 25*n**2 - 142*n - 185. Determine s(12). -17 Let y(r) = 45*r**3 - 6*r**2 + 31*r + 89. Determine y(-4). -3011 Let i(a) = 3*a**3 + 134*a**2 - 9*a + 1694. Determine i(-45). 74 Let j(o) = -3118*o + 15121. Determine j(5). -469 Let a(p) = -p**3 + 18*p**2 - 88*p + 2533. Calculate a(20). -27 Let v(x) = -2*x**2 - 84*x + 662. Give v(-47). 192 Let k(u) = 73*u**2 - 3302*u - 263. Determine k(46). 2313 Let w(y) = -y**3 - 99*y**2 - 741*y - 227. Determine w(-91). 956 Let k(h) = 22*h**2 + 23618*h + 12932. Calculate k(-1073). 56 Let m(l) = -l**3 + 26*l**2 - 30*l + 657. Calculate m(26). -123 Let y(j) = -6841*j + 2305412. Determine y(337). -5 Let a(k) = -3*k**2 + 3104*k + 44060. What is a(-14)? 16 Let b(i) = -i**2 + 1848765*i + 11092618. What is b(-6)? -8 Let c(z) = 25*z - 166. Give c(81). 1859 Let v(r) = 1614*r**2 + 96841*r + 127. Calculate v(-60). 67 Let w(v) = -98*v + 106. Calculate w(1). 8 Let d(p) = 4*p**2 - 236*p + 1212. Calculate d(55). 332 Let m(t) = t**2 - 54*t - 12155. Give m(-88). 341 Let u(t) = -t**3 - 92*t**2 - 15*t - 509. Calculate u(-92). 871 Let d(l) = 10962*l + 109627. Give d(-10). 7 Let f(q) = q**3 + 87*q**2 - 260*q + 278. Determine f(-90). -622 Let i(t) = -4*t**2 - 2178*t - 17416. Determine i(-8). -248 Let y(k) = -2*k**2 + 9941*k - 1097797. Give y(113). -2 Let v(y) = -22*y**2 + 280*y + 2589. What is v(-10)? -2411 Let k(a) = 912*a + 166907. Calculate k(-183). 11 Let q(w) = -1299*w - 74383. Calculate q(-57). -340 Let h(u) = 2*u**3 + 45*u**2 + 55*u - 2144. What is h(-11)? 34 Let y(z) = -87*z**3 - 7*z**2 + 4. What is y(1)? -90 Let z(t) = -4*t**2 - 687*t - 3755. Give z(-166). 63 Let q(o) = -o**3 - 27*o**2 - 146*o - 427. Determine q(-21). -7 Let f(b) = 174*b + 5274. Calculate f(-37). -1164 Let w(o) = o**3 + 28*o**2 + 80*o + 996. Give w(-24). 1380 Let b(c) = c**2 - 233511*c + 2568497. Calculate b(11). -3 Let g(l) = 54*l**2 - 1634*l - 1685. What is g(-1)? 3 Let i(b) = -4*b**3 + 428*b**2 - 826*b - 1471. What is i(105)? -1 Let s(b) = -25*b**3 + 7*b**2 - 1748*b + 10413. Determine s(6). -5223 Let x(v) = 19438*v + 1555049. What is x(-80)? 9 Let u(z) = 424*z + 5567. Give u(-11). 903 Let r(f) = 4956*f + 371753. Give r(-75). 53 Let k(f) = 396987*f - 2779032. Give k(7). -123 Let x(s) = -s**3 + 11*s**2 + 1514*s - 9276. Determine x(6). -12 Let c(i) = 26*i**2 - 366*i + 698. Give c(12). 50 Let h(k) = -3374*k + 39582. Determine h(12). -906 Let m(n) = 9979*n + 39991. Determine m(-4). 75 Let w(s) = 19*s**3 + 185*s**2 - 40*s - 30. Determine w(-10). -130 Let s(g) = 13*g - 326. Calculate s(63). 493 Let f(h) = 53*h**2 - 1250*h - 34799. Determine f(40). 1 Let n(m) = -2*m**3 - 144*m**2 - 1245*m - 12. What is n(-10)? 38 Let v(g) = 34258*g - 548079. Give v(16). 49 Let d(m) = -9*m**3 - 71*m**2 - 130*m - 537. Give d(-7). -19 Let z(y) = -3*y**3 - 4525*y**2 - 137388*y + 119. What is z(-31)? -5 Let m(q) = -4975*q + 20047. Determine m(4). 147 Let r(a) = -a**3 - 216*a**2 - 10690*a + 1836. Give r(-139). 29 Let y(a) = 29975*a + 1228969. Give y(-41). -6 Let n(u) = 210*u + 2215. Determine n(-14). -725 Let x(k) = 60089*k + 300443. Calculate x(-5). -2 Let u(n) = 11*n**3 + 68*n**2 + 22*n + 19. Give u(-6). -41 Let m(q) = -273*q + 31959. Determine m(117). 18 Let a(l) = l**3 + 2*l**2 - 34*l - 54. What is a(-6)? 6 Let c(h) = 12*h**2 - 4069*h + 97951. Determine c(313). -18 Let a(v) = -v**3 - 21*v**2 + 4822*v + 118078. What is a(-25)? 28 Let g(u) = -3*u**3 + 9*u**2 + 100*u - 69. Determine g(-5). 31 Let p(g) = 11*g**2 - 16*g - 21. What is p(-7)? 630 Let k(h) = 3*h**3 + 71*h**2 + 40*h + 1382. Determine k(-24). -154 Let i(p) = 2*p**2 + 8563*p - 94455. What is i(11)? -20 Let g(y) = -6*y**3 + 102267*y - 102267. Calculate g(1). -6 Let l(c) = -11386*c - 4975671. Give l(-437). 11 Let l(o) = -o**3 + 35*o**2 + 107*o - 2535. Determine l(36). 21 Let u(g) = -66691*g + 200099. Calculate u(3). 26 Let a(z) = -2*z**2 - 319*z - 4560. What is a(-138)? 1374 Let t(x) = 197*x + 3037. What is t(-16)? -115 Let q(z) = -842*z + 16016. What is q(19)? 18 Let x(j) = -3429*j - 10186. Determine x(-3). 101 Let d(t) = -2*t**3 - 108*t**2 - 954*t - 115. Give d(-11). -27 Let z(x) = 76*x**2 - 2924*x + 9240. What is z(35)? 0 Let a(i) = 21*i**2 - 387*i + 295. Determine a(17). -215 Let a(g) = 93260*g + 4569733. Give a(-49). -7 Let n(f) = -563*f - 96792. What is n(-172)? 44 Let l(u) = 6829*u + 41031. What is l(-6)? 57 Let l(u) = u**3 + 64*u**2 + 98*u - 213. Give l(-62). 1399 Let c(w) = -2449*w - 19801. Determine c(-8). -209 Let j(r) = -161784*r - 161816. Determine j(-1). -32 Let x(a) = a**2 + 60556*a + 242202. Give x(-4). -6 Let q(m) = m**3 - 45*m**2 + 389*m - 449. What is q(37)? 2992 Let o(k) = -k**2 + 12498*k - 11076481. Calculate o(960). -1 Let r(j) = 2*j**3 - 100*j**2 - 1795*j + 74. Determine r(64). -118 Let t(j) = -j**3 + 35*j**2 + 262*j + 190. Calculate t(-8). 846 Let l(s) = 264*s - 902. What is l(3)? -110 Let o(m) = 3*m**3 - 4757*m**2 - 9511*m + 10. What is o(-2)? -20 Let c(h) = 2*h**3 - 49*h**2 - 200*h - 64. What is c(28)? -176 Let g(v) = v**3 + 17*v**2 + 15*v - 199. What is g(-18)? -793 Let t(o) = -o**3 - 37*o**2 + 260*o + 84. What is t(-43)? -2 Let f(u) = -23724*u - 355869. What is f(-15)? -9 Let n(m) = -10137*m + 276. Give n(0). 276 Let c(d) = 627238*d + 33870849. What is c(-54)? -3 Let t(h) = -30407*h + 1550748. Give t(51). -9 Let o(s) = -2*s**3 - 145*s**2 + 75*s - 212. What is o(-73)? -358 Let v(a) = -68165*a - 2590204. What is v(-38)? 66 Let i(m) = 45*m**2 - 197*m - 148. Calculate i(-1). 94 Let s(k) = -k**3 - 19*k**2 + 2765*k + 348. Calculate s(44). 40 Let m(o) = o**2 - 258*o + 16287. Determine m(148). 7 Let k(b) = -1940*b - 239003. Calculate k(-123). -383 Let u(s) = -37503*s - 337526. What is u(-9)? 1 Let s(x) = -x**3 + 55*x**2 - 273*x - 946. Determine s(49). 83 Let d(y) = 2*y**3 + 132*y**2 - 1672*y + 1608. What is d(-77)? -86 Let p(t) = -6*t - 590. Give p(-34). -386 Let s(g) = -38*g**3 - 154*g**2 - 2*g + 29. What is s(-4)? 5 Let u(m) = 19333*m + 290079. Determine u(-15). 84 Let y(f) = 2*f**3 + 137*f**2 - 316*f + 273. Calculate y(-71). -2496 Let z(y) = -373*y**2 + 123470*y - 2307. Determine z(331). 10 Let h(w) = -w**3 - 42*w**2 + 1006*w + 178. Calculate h(-59). 1 Let w(s) = -1298*s + 39559. Give w(30). 619 Let n(p) = -8*p**2 + 767*p - 17735. What is n(57)? -8 Let x(s) = -33*s**2 - 40496*s - 40500. What is x(-1)? -37 Let y(c) = -49*c**2 + 77*c - 322. Give y(4). -798 Let k(j)
{ "pile_set_name": "DM Mathematics" }
.1 + -103. Let j = 5 - 5.3. Which is the closest to 1/4? (a) y (b) -3 (c) j a Let y = -0.07 - -3.07. Let t = -1.38 - -1.38. Which is the nearest to 1? (a) y (b) 2/19 (c) t b Let v = 1546 - 2987/2. Let i = v - 1579/30. Which is the nearest to i? (a) 1/6 (b) 0.3 (c) -2/9 c Let f be 65/(-60) + (-3 - (-30)/9). Let t = 0.09 - -3.91. Which is the closest to f? (a) t (b) -4 (c) 2 c Let i = 3 - 0. Let v be 2 - 3 - (-15)/i. Suppose 0 = v*k - 0*k. Which is the nearest to 0.2? (a) -0.2 (b) -1/11 (c) k c Let b = -0.34 - 0.22. Let q = -0.25 - b. Let h = -0.01 + q. What is the nearest to 1/2 in -2/7, -0.1, h? h Let o(c) = -c**3 + 2*c**2 - c + 1. Let a be o(1). Let f = 3 - 2.6. What is the nearest to a in 0, -2, f? f Let f(s) = -s**2 + 3*s + 5. Let i be f(3). What is the closest to -0.1 in -3, 3, i? -3 Let w = -3 - -6. Let r = 11.2 - 12. Let s = 1 + r. What is the closest to s in -1, w, -2? -1 Let h = -2/15 - 16/105. Which is the nearest to h? (a) 0.2 (b) 4 (c) -1 a Let d = 6 + -4. Let b = 1.9 - d. What is the closest to b in 2, -0.1, 1? -0.1 Let q = 0.8 - 0.4. Which is the closest to -4? (a) q (b) -1 (c) 1/4 b Let h be 8/(-44) - (-45)/(-55). What is the closest to 3 in h, 0.4, 0.1? 0.4 Let r = 3 - 2.9. Let m(h) = h**3 + 4*h**2 + 6*h + 6. Let c be m(-4). Let t be (3/c)/(1/(-2)). What is the nearest to -0.2 in 0, r, t? 0 Let j = -1.4 + 1. Let q = 0.4 + j. Let n = 0 + q. Which is the closest to n? (a) 2/3 (b) 0 (c) 5 b Suppose -q + j = -3, -2*q + 7 = -5*j - 5. Suppose 2*i = -4*h - h - 3, i - 2 = h. What is the nearest to q in -1, i, -0.4? i Let q = -2.9 - -0.7. Let j = 0.8 - q. What is the closest to 0.1 in -0.1, -3, j? -0.1 Let s be 20/(-21) + (-4)/(-14). Suppose -5*l + 13 = -x - 0, -5*x - 5 = -5*l. Suppose -l*q - 4 = -7*q. Which is the closest to q? (a) 0.3 (b) s (c) 4 a Let k be 1/12 + 4/6. Let l be 4 + (-42)/5 + 4. Let w be -1*(-4 - -2)/(-6). What is the nearest to -0.1 in k, w, l? w Let x = -1.04 + 0.02. Let w = 0.02 + x. What is the closest to 1 in w, -2, 2? 2 Let r = 10 - 7. Suppose -2*j + 22 = -5*q, 5*q + 4*j + r = -43. Let u be 6*(-3)/q*-1. What is the closest to 0.1 in 0, 0.4, u? 0 Let b = 2.8 + -2.8. Let t = -115/13 + 9. What is the closest to b in -5, -2/17, t? -2/17 Let i = -7 + 8. What is the nearest to -0.01 in 2, 5, i? i Let p be (0 + 3 + -1)/2. Suppose -3*r - 13 = -p. What is the nearest to 1 in 0.5, 4/5, r? 4/5 Let z = 28 + -25. What is the nearest to 1 in 0.5, 2, z? 0.5 Let n be (9 - 10) + (-34)/(-38). What is the nearest to 2/7 in n, -0.1, 5? -0.1 Let f = -0.01 + 0.41. Let z = -0.6 + f. Let o = z - 1.8. Which is the nearest to 0.1? (a) o (b) -0.3 (c) 4 b Let m be 2/72 - (-40)/180. Let u = -1459/7 + 208. What is the nearest to m in u, 1/3, 5? 1/3 Let t = 3 + -3. Let m(j) = j**2 - 28*j + 56. Let f be m(26). Which is the closest to 0.1? (a) t (b) f (c) 0.3 a Let o = -3.091 - -0.091. What is the closest to o in 4, -1, -0.2? -1 Let x = 18 + -17. What is the closest to -1/2 in 3, -3, x? x Let p = -35/57 - 20/19. Let m = -1 + 0. What is the closest to 1 in p, -3/4, m? -3/4 Let p = 23 + -21. Let l = p + -1.9. What is the nearest to l in -5, 0.1, -0.5? 0.1 Suppose 7 = -s - 4. Let z = 35/3 + s. Which is the closest to z? (a) 1/5 (b) 0.4 (c) -0.2 b Let f = 5.1 + -2.1. What is the closest to 0.1 in -2, f, -0.3? -0.3 Let t = -0.3 + 0.4. Let g = -5.2 - -0.2. Let s = -3 - -3. What is the closest to t in -1, s, g? s Let g = 2 - 1.5. Let w be (-1)/(-3) + (-30)/9. Which is the closest to -0.2? (a) g (b) w (c) 2/3 a Let u = 15.7 - 15.1. Which is the nearest to u? (a) -1/7 (b) 1/3 (c) 0.4 c Let i = 33 - 34. What is the closest to 1 in 1, -2/25, i? 1 Let z = -20/11 - -38/33. Which is the nearest to 2? (a) z (b) -4 (c) 4 c Let c(t) = -6*t - 1. Let g = -3 + 2. Let a be c(g). What is the closest to -0.1 in 0.5, 2, a? 0.5 Let i be 2/(-12) - (-51)/(-18). Suppose 0 = -2*f - 2*f. Which is the closest to 3? (a) -2/3 (b) f (c) i b Let g be ((-3 + 20/8)*-1)/(-1). Let b = -1.8 - -2. What is the nearest to 0 in b, g, 2? b Let l = 43 - 42.5. What is the closest to 0.3 in 1/6, l, 2? 1/6 Let u be 2/3 + (-10)/(-3). Suppose -4*z + 25 = -9*z. Let h = 2 - 2. Which is the closest to h? (a) u (b) 0.5 (c) z b Let x be 6/(-10) + (-44)/(-140). What is the closest to -0.3 in -3, x, 2? x Let q = 5 + -5.2. Let n = 0.3 - q. Let j be 3/2 - (-1 - -1). What is the closest to 0 in j, 1/4, n? 1/4 Let w = 13 - 11. Which is the closest to -1? (a) w (b) -2 (c) -0.1 c Let y = -573/70 - -58/7. Let u = -5.4 + 5. What is the nearest to -0.2 in u, y, -5? u Let z = -0.3 + 4.3. Which is the closest to 4? (a) -10 (b) z (c) 0.3 b Suppose 2*d - 4 = -0. Let f = d - -1. Let i = -17/92 - -10/23. Which is the nearest to i? (a) -2/7 (b) -3 (c) f a Let z = -2.9 + 5.9. Let k = -180 + 1978/11. Let n = -0.5 - -0.9. Which is the closest to n? (a) z (b) -0.2 (c) k c Let x(h) = 5*h - 20. Let u be x(5). Which is the closest to -2/5? (a) -0.17 (b) u (c) 2 a Let w = 6 + -4. Let f = -30356/21 + 1446. Let a = f + -15/7. What is the closest to 1/2 in -3, a, w? w Let g(q) = q**3 + 5*q**2 + 2*q - 3. Let w be g(-4). Let u = -151 + 757/5. Which is the closest to u? (a) -2/19 (b) -1 (c) w a Let d = 59 - 56. Which is the nearest to 0.1? (a) d (b) 2/13 (c) 1/4 b Let z = 0.8 + 2.2. Let x = z - 3. Suppose 3 - 6 = 3*w. Which is the nearest to x? (a) 5 (b) w (c) 2 b Let x = 1.9 - 2.1. Let h = -463/5 + 114. Let q = h - 21. What is the nearest to 1/4 in q, 2, x? q Let x = 105.2 + -105. Let h be (-2)/(-5)*5/3. What is the nearest to x in h, -0.3, -4? h Suppose 4 = 2*d - 4. Let h = 0.3 - 1.3. Which is the nearest to -2? (a) d (b) h (c) -5/2 c Let d = -9 + 5. Let g = -2.6 - -3. Let n(l) = -l**3 - 2*l**2 + 3*l + 4. Let q be n(-3). What is the nearest to 1 in d, q, g? g Let c = -0.06 - -0.02. Let n = 1.96 - c. What is the nearest to -2 in -1/4, 0.1, n? -1/4 Let u = -0.15 + 0.02. Let x = -2.87 + u. Which is the nearest to x? (a) 0.2 (b) 0.3 (c) 0 c Let n = 0.13 - 0.13. Which is the closest to -1? (a) n (b) 0.2 (c) -3 a Let f(d) = d**2 - 6*d + 5. Let z be (5 - 2)*32/12. Let p be f(z). Let j be 8/p + (-4)/(-14). Which is the nearest to j? (a) -1/7 (b) -4 (c) -3 a Let z = -3.2 + 2.2. Let u be -2 - (1 - (0 + 2)). Let s = 4 - 1. What is the closest to z in s, 2/9, u? u Let p be (-2)/16*5*2. Let q = -0.06 - 0.04. Let f = 2.9 + -3. Which is the closest to f? (a) 0 (b) q (c) p b Suppose -x = 4*h - 2, 2*x - 6*x = h - 8. Let r = -2.6 + 0.6. Which is the nearest to x? (a) r (b) -4/5 (c) 5/4 c Let v = 0.482 - -0.018. Let k be 6/9 - -1 - 2. What is the nearest to -1/4 in v, k, -2/3? k Let j(r) = 6*r. Let l be j(2). Which is the nearest to l? (a) -0.5 (b) -0.2 (c) -2/3 b Let y = 0.5 + 0. Let x = y - 0.5. Which is the closest to x? (a) 0.3 (b) -1 (c) -5/2 a Let k(j) = -4*j - 1. Let u be k(2). Let z be 1 + -3 + (-5 - u). Let o = 1.2 + -0.2. Which is the closest to o? (a) -2 (b) z (c) 0.1 c Let l = 11 + -16. Let g(i) = -i + 6. Let u be g(5). Which is the nearest to u? (a) 0.4 (b) l (c) 2 a Let z be 2/(-14) - (-8 - -7)/(-7). Which is the closest to z? (a) 0.5 (b) 1/10 (c) -4 b Let i = 386 - 430.7. Let g = i + 43. Let q = g - -2. Which is the closest to 0? (a) -5 (b) 0.1 (c) q b Let s = 523/6 + -87. Which is the closest to 1? (a) -4 (b) s (c) -92 b Let f = -83 - -95. What is the nearest to 2 in 2/15, f, -0.4? 2/15 Let s = 11 + -17. Let y = -44.6 + 39. Let c = y - s. What is the nearest to -1 in 0, -2/7, c? -2/7 Let j be ((-26)/6 - -5) + 206/(-3). What is the nearest to j in -2/11, -2, -1/2? -2 Let j = -95 - -189/2. What is the closest to j in 4, -1, 15? -1 Let l = -12 - -8. Let r = 6 + -8. Let w(d) = d**2 + 7*d + 11. Let p be w(-4). Which is the closest to 0.1? (a) p (b) l (c) r a Let f = -1.7 - 0.3. Let u = 2 - 0. Let c be (-9)/(-14)*4 - u. What is the closest to f in -2, c, 0.4? -2 Let n be (-5)/2*(3 - -23). Let a be (-1*1)/(n/26). What is the nearest to a in 3, 3/7, 2/5? 2/5 Let x = 10 - -11. Let t be 6/16*7/x. Which is the nearest to 0.1? (a) t (b) 4 (c) -0.5 a Let y = -1 - 1. Let z = -908/7 - -130. Let q = -32/7 - -188/35. Which is the closest to y? (a) q (b) -3 (c) z b Let o = 1.5 - 1.3. Which is the nearest to o? (a) 0.4 (b) -
{ "pile_set_name": "DM Mathematics" }
84, 1, -1 in descending order. 1, -1, -84 Put 4/9, 0, 0.54, -1/2 in decreasing order. 0.54, 4/9, 0, -1/2 Sort -3, 5, 20, -2, 0 in decreasing order. 20, 5, 0, -2, -3 Put 5, -4, 92 in descending order. 92, 5, -4 Sort -6, 233, -2, 3 in increasing order. -6, -2, 3, 233 Sort 3, 506, 1. 1, 3, 506 Put 4, -3, -34 in descending order. 4, -3, -34 Put 3, -2, 8, -5 in increasing order. -5, -2, 3, 8 Sort -2, 35, -0.67 in increasing order. -2, -0.67, 35 Sort 0, 36, 2. 0, 2, 36 Put -5, -833, -3 in ascending order. -833, -5, -3 Sort -12, 1, -15 in descending order. 1, -12, -15 Put -4, 6, 4 in decreasing order. 6, 4, -4 Sort 2, -104, -18 in decreasing order. 2, -18, -104 Sort -5, -2/13, -16/5 in descending order. -2/13, -16/5, -5 Sort -5, 4, 1, -1 in decreasing order. 4, 1, -1, -5 Sort 0.02, 3, 96, -3. -3, 0.02, 3, 96 Sort -26/5, 10, 1/2, -3, 1/5 in descending order. 10, 1/2, 1/5, -3, -26/5 Sort 1, 252, 2, -5. -5, 1, 2, 252 Sort 1002, -1, -4 in descending order. 1002, -1, -4 Put -2, 1, -3, 46 in increasing order. -3, -2, 1, 46 Put -2, 7, 1.43 in increasing order. -2, 1.43, 7 Put 2/3, -1/7, -2, 206 in descending order. 206, 2/3, -1/7, -2 Sort 9, -7, 4 in descending order. 9, 4, -7 Put 5, 0.5, 0, -0.4 in descending order. 5, 0.5, 0, -0.4 Sort -0.5, 1/5, -1/6, 589, -0.1 in decreasing order. 589, 1/5, -0.1, -1/6, -0.5 Sort -1/6, 3/14, -12, -5 in decreasing order. 3/14, -1/6, -5, -12 Sort 1, -5, 3, 6, 165 in decreasing order. 165, 6, 3, 1, -5 Sort -2, 2/9, -1.7 in ascending order. -2, -1.7, 2/9 Sort -1, 32, 2, 1/7 in decreasing order. 32, 2, 1/7, -1 Sort 2/9, -4, -1142 in descending order. 2/9, -4, -1142 Sort 2/11, -16, -2/9. -16, -2/9, 2/11 Sort -47, 5, 0 in descending order. 5, 0, -47 Sort -5, 9, -3/5, 0.2 in ascending order. -5, -3/5, 0.2, 9 Sort -2, 1, -1, -79, -4 in decreasing order. 1, -1, -2, -4, -79 Sort -2, 9, -4, -1 in decreasing order. 9, -1, -2, -4 Sort 3, 1/2, 2, -7 in increasing order. -7, 1/2, 2, 3 Sort 2, -1, 0, -27, -2 in ascending order. -27, -2, -1, 0, 2 Put 1.3, 2, -2 in ascending order. -2, 1.3, 2 Sort -7, -3, 1, -2 in descending order. 1, -2, -3, -7 Put 2/5, 1/38, -1/4 in descending order. 2/5, 1/38, -1/4 Sort 0, -9, 12 in ascending order. -9, 0, 12 Sort 5/3, 0.04, -5 in descending order. 5/3, 0.04, -5 Sort 29, -3, -12. -12, -3, 29 Put -33, 4, -5, 2 in descending order. 4, 2, -5, -33 Sort -2/395, 2/19, -4 in descending order. 2/19, -2/395, -4 Sort 6, 5, 1, 0 in decreasing order. 6, 5, 1, 0 Put -107, 3, 13 in ascending order. -107, 3, 13 Put -17, 2, -0.3, 1/6 in decreasing order. 2, 1/6, -0.3, -17 Sort -6, -7, -5, 2, -4 in descending order. 2, -4, -5, -6, -7 Sort 1, 3, -20, -19. -20, -19, 1, 3 Put -4, 34, -1, 7 in decreasing order. 34, 7, -1, -4 Put -3, 52, -4 in decreasing order. 52, -3, -4 Sort -17, -2, 11. -17, -2, 11 Sort -89, -3, 0, 3, 2 in ascending order. -89, -3, 0, 2, 3 Sort -3, -44.1, -1. -44.1, -3, -1 Sort 4, -3/7, 0.4, 9, -2/3. -2/3, -3/7, 0.4, 4, 9 Sort -5, 2/13, -0.3, -19, -2/15 in ascending order. -19, -5, -0.3, -2/15, 2/13 Sort 1, 0, 4, -684. -684, 0, 1, 4 Put 17, -0.3, -1/5, -1/31 in descending order. 17, -1/31, -1/5, -0.3 Sort -1.7, 2, 7. -1.7, 2, 7 Sort 0, -5, -11, 4. -11, -5, 0, 4 Sort -0.18, 42, -0.4, -0.7 in descending order. 42, -0.18, -0.4, -0.7 Sort -2, 2, 33, 1 in decreasing order. 33, 2, 1, -2 Sort -7, 3, -2, -4. -7, -4, -2, 3 Sort -0.1, 0, 5, -12/11. -12/11, -0.1, 0, 5 Sort 1.7, -0.1, 4, -3 in decreasing order. 4, 1.7, -0.1, -3 Sort 0.07, 4/3, -1/10, 0, 4 in descending order. 4, 4/3, 0.07, 0, -1/10 Put 5, -8, 4, -4 in ascending order. -8, -4, 4, 5 Put 13, -1, -0.167, -1/6 in increasing order. -1, -0.167, -1/6, 13 Sort 1199, -5, 2. -5, 2, 1199 Sort 5, -29, 10. -29, 5, 10 Put 4/29, 5, 1/3 in ascending order. 4/29, 1/3, 5 Sort 4, -5, 6, -4 in descending order. 6, 4, -4, -5 Sort -2, -10, 6. -10, -2, 6 Put -3, -5, 20, -4, 4 in ascending order. -5, -4, -3, 4, 20 Sort 7, 1, 3, 2. 1, 2, 3, 7 Sort -2/11, -0.22, 2/29, -5 in increasing order. -5, -0.22, -2/11, 2/29 Put 0.3, 2/9, -2/7, -0.13, -1/3 in increasing order. -1/3, -2/7, -0.13, 2/9, 0.3 Sort -6, 8, -2, 1 in descending order. 8, 1, -2, -6 Sort 68, -0.3, 5 in descending order. 68, 5, -0.3 Sort 3, 119, -4, 5. -4, 3, 5, 119 Put 146, 4, -0.5 in descending order. 146, 4, -0.5 Sort 2/13, -2/15, 0.2, -1/5, -131 in decreasing order. 0.2, 2/13, -2/15, -1/5, -131 Put 3, -5, -11, 0 in decreasing order. 3, 0, -5, -11 Put -4, -5, -51, 2 in ascending order. -51, -5, -4, 2 Sort -3, 5, 4, -10, 3 in descending order. 5, 4, 3, -3, -10 Sort 3, 0, -2, 1.1, -15 in increasing order. -15, -2, 0, 1.1, 3 Put 0, 4, 5, 7, -9 in descending order. 7, 5, 4, 0, -9 Sort 2, 3, 7, 17 in ascending order. 2, 3, 7, 17 Put 0.0826, -4, 0.3 in descending order. 0.3, 0.0826, -4 Sort 2, -3, 4, -1. -3, -1, 2, 4 Put 15, 1, -4, 3, -5 in ascending order. -5, -4, 1, 3, 15 Sort 1/4, -2.9, -3, -4, -4/9. -4, -3, -2.9, -4/9, 1/4 Put -1/5, 0.1, -0.1, 4 in ascending order. -1/5, -0.1, 0.1, 4 Sort 5/6, -3/20, -4. -4, -3/20, 5/6 Put -8, 0.27, -0.3 in decreasing order. 0.27, -0.3, -8 Sort -3, -0.3, 0.8, -59. -59, -3, -0.3, 0.8 Sort -1, -74, 2, -2. -74, -2, -1, 2 Put -4, 0.04, -5 in descending order. 0.04, -4, -5 Sort 5, -3/2, 91. -3/2, 5, 91 Sort -21, -2/7, 78. -21, -2/7, 78 Sort 2/3, 9, -9, -0.4, 1 in decreasing order. 9, 1, 2/3, -0.4, -9 Put 5, -4, 0, 71 in decreasing order. 71, 5, 0, -4 Put -0.3, -0.6, -8/37 in ascending order. -0.6, -0.3, -8/37 Put -5, -4, 5 in descending order. 5, -4, -5 Sort -5, -3, -4, 18 in descending order. 18, -3, -4, -5 Put -4, -2, -3, 4 in decreasing order. 4, -2, -3, -4 Put 57, -6, 4 in ascending order. -6, 4, 57 Put -1, -0.5, -285, 5 in increasing order. -285, -1, -0.5, 5 Sort -5, 2, 4, 1, 9 in decreasing order. 9, 4, 2, 1, -5 Sort -5, 750, 3 in decreasing order. 750, 3, -5 Put 5, 0, -2, 629 in ascending order. -2, 0, 5, 629 Sort 4, 11, 3 in decreasing order. 11, 4, 3 Sort -16, -7, -5 in ascending order. -16, -7, -5 Sort -0.092, 1/4, 3/2 in ascending order. -0.092, 1/4, 3/2 Put -2, -5, -144 in ascending order. -144, -5, -2 Sort 2/3, -205, 4, -2 in decreasing order. 4, 2/3, -2, -205 Sort 5, -2, -23, -16. -23, -16, -2, 5 Put 6, -30, -1, 12 in increasing order. -30, -1, 6, 12 Sort -0.9, 0.4, 1/4, 3 in decreasing order. 3, 0.4, 1/4, -0.9 Sort 2, -2, -3, -8 in increasing order. -8, -3, -2, 2 Sort -2/17, 5, -7.8 in decreasing order. 5, -2/17, -7.8 Put 2, -1, 64, -5 in ascending order. -5, -1, 2, 64 Sort -4, 4, 1, -3 in decreasing order. 4, 1, -3, -4 Put 4, -271, 1 in decreasing order. 4, 1, -271 Sort -4, -2, -214, 4 in descending order. 4, -2, -4, -214 Sort -3, 0, -334, -1. -334, -3, -1, 0 Sort -0.1, 0.6, 4, -0.9, -6 in decreasing order. 4, 0.6, -0.1, -0.9, -6 Sort -1/4, -4, -0.3, -83/3 in decreasing order. -1/4, -0.3, -4, -83/3 Put -3, 2/5, -2, 3/8 in descending order. 2/5, 3/8, -2, -3 Sort -2/3, -4, -0.06, -0.5. -4, -2/3, -0.5, -0.06 Sort 11, 1, 4, -4 in decreasing order. 11, 4, 1, -4 Sort 94, 1, 29 in decreasing order. 94, 29, 1 Put 5, -2, 1, -1, 33 in decreasing order. 33, 5, 1, -1, -2 Sort -0.1, 0.4, -2/5, 0.19, 6 in increasing order. -2/5, -0.1, 0.19, 0.4, 6 Put 0.074, 0.49, -1 in decreasing order. 0.49, 0.074, -1 Sort -5, -1046, -2. -1046, -5, -2 Put -2, -11, 5, 6 in descending order. 6, 5, -2, -11 Put 18, 11, -1/2, 1 in ascending order. -1/2, 1, 11, 18 Put 4, -4, 48 in decreasing order. 48, 4, -4 Sort -206, 0, 38 in descending order. 38, 0, -206 Sort -21, 3, -0.5. -21, -0.5, 3 Put -3/44, 1, -2, 0.2 in decreasing order. 1, 0.2, -3/44, -2 Sort -0.6, -1, -16 in ascending order. -16, -1, -0.6 Sort 2, -16, 5, -14 in descending order. 5, 2, -14, -16 Sort -2, -2/25, -4, 8, -0.3 in descending order. 8, -2/25, -0.3, -2, -4 Sort -13, 0, -1, 2 in decreasing order. 2, 0, -1, -13 Sort 0, 3, -30, 5 in descending order. 5, 3, 0, -30 Put 4, -3, 12, -4 in decreasing order. 12, 4, -3, -4 Sort -5, 1, -10, -13, -1 in increasing order. -13, -10, -5, -1, 1 Put -2, -261, -3 in decreasing order. -2, -3, -261 Sort 1, 0, 85, -3. -3, 0, 1, 85 Sort -2, -727, 7, 4 in descending order. 7, 4, -2, -727 Sort 5, -149, -4 in descending order. 5, -4, -149 Sort 1, 3, 25, -2, -3 in descending order. 25, 3, 1, -2, -3 Sort -5, -2, 903 in increasing order. -5, -2, 903 Put 0, 2/327, -2, -0.4, 4 in decreasing order. 4, 2/327, 0, -
{ "pile_set_name": "DM Mathematics" }
(c) 1/3 (d) 32 (e) 3 a Which is the fourth biggest value? (a) 4 (b) 2/7 (c) 0 (d) 26 (e) 2 b What is the third biggest value in 0.5, 8/7, -0.3, -3/13? -3/13 Which is the third smallest value? (a) 0 (b) 0.2 (c) -205 b What is the biggest value in 1, -11, 0.8, -5/3? 1 Which is the fourth biggest value? (a) 0.2 (b) -1/5 (c) 2/19 (d) -1 d Which is the second biggest value? (a) -4 (b) -1/4 (c) 1/2 (d) -0.3 (e) -66 b Which is the second biggest value? (a) -4 (b) 0.4 (c) -13 a What is the second biggest value in -4, 5/4, -1/2, 3, -151? 5/4 Which is the smallest value? (a) 18 (b) -2/9 (c) -6.4 (d) 1 (e) 1/6 c Which is the smallest value? (a) -0.079 (b) 5 (c) -5 c Which is the fourth biggest value? (a) 23 (b) -4 (c) 2 (d) -1/4 (e) 2/3 d Which is the smallest value? (a) 0.3 (b) -0.3 (c) -4 (d) 0 c What is the second biggest value in 0.4, 2/33, -2/15, -2? 2/33 What is the biggest value in 1304, -3, -0.4? 1304 Which is the second smallest value? (a) 0.1 (b) 25 (c) 2 (d) -0.1 a Which is the smallest value? (a) -7 (b) 0.5 (c) -0.3 (d) -2 a Which is the second smallest value? (a) -121 (b) 8 (c) -0.4 c Which is the second biggest value? (a) -2.2 (b) -1 (c) 5/7 (d) 0.3 d Which is the third biggest value? (a) 4 (b) -0.5 (c) 2 (d) 2/49 d Which is the smallest value? (a) -6/5 (b) 47.8 (c) -0.2 a What is the biggest value in -47, 2/5, -25, 4, 0? 4 Which is the fourth smallest value? (a) 4 (b) -3 (c) 2 (d) -453 a Which is the smallest value? (a) 1 (b) 5 (c) 2/15 (d) -10 (e) 0.3 d Which is the smallest value? (a) -0.4 (b) -2.813 (c) -2 b Which is the second biggest value? (a) 6 (b) -3/2 (c) 15 a What is the smallest value in 1/4, 4, 0.4, 2/173? 2/173 What is the third biggest value in 0.07, -1, 2/9, 1/8? 0.07 Which is the smallest value? (a) -3.79 (b) 2/3 (c) 1/12 a Which is the fourth smallest value? (a) 4 (b) 3 (c) -3 (d) -19 a Which is the second smallest value? (a) 0.1 (b) 3 (c) 4 (d) 1/4 (e) 227 d Which is the third smallest value? (a) -0.2 (b) 2 (c) 1/5 b Which is the second smallest value? (a) -2 (b) 2/115 (c) 5/3 (d) -1 (e) -1/7 d Which is the smallest value? (a) -2/5 (b) 0.32 (c) 3 a Which is the biggest value? (a) 0.14 (b) -1/2 (c) 1/10 a Which is the third smallest value? (a) -53.7 (b) 2 (c) 5 c Which is the second smallest value? (a) 3/4 (b) -2 (c) 40 (d) 0 d Which is the biggest value? (a) -8 (b) -0.4 (c) 5 (d) -16 (e) 2/11 c Which is the fourth biggest value? (a) -154 (b) -2 (c) -3 (d) -4 (e) 0.2 d Which is the second smallest value? (a) -2/3 (b) 0.009 (c) 7 (d) -0.2 d What is the third biggest value in 0, -1/7, -0.3, 121, -2/7? -1/7 Which is the second biggest value? (a) -5/4 (b) -2 (c) 53/5 a What is the third biggest value in 0.06, -5, 4, 5? 0.06 Which is the smallest value? (a) 5 (b) 1/18 (c) 0 (d) -6 d What is the second smallest value in -3/5, -3, 2/11, 62/3? -3/5 Which is the fifth smallest value? (a) -2 (b) -118 (c) 0.3 (d) 1/4 (e) 2/9 c Which is the second biggest value? (a) -0.01 (b) -1/4 (c) 2/5 (d) -0.2 a What is the third smallest value in 1, -0.3, -1, -1/6, 1/7? -1/6 Which is the second smallest value? (a) -3/5 (b) 0.07 (c) -6 (d) 7/5 a Which is the second biggest value? (a) 3 (b) 2/3 (c) 0 (d) -2/33 b Which is the fourth biggest value? (a) 0 (b) 3 (c) 0.51 (d) 2/15 a Which is the smallest value? (a) -0.4 (b) 2/9 (c) -1/9 (d) -1/7 a Which is the fourth biggest value? (a) -261 (b) 3 (c) -2 (d) 0.04 (e) 1 c Which is the smallest value? (a) 3/7 (b) 2/131 (c) 2 (d) -0.2 d What is the third smallest value in 6, -0.039, -3? 6 What is the biggest value in 19, 28, 5? 28 What is the second smallest value in 2/7, 3/7, -0.05634? 2/7 Which is the fourth biggest value? (a) 0 (b) 0.005 (c) -3/4 (d) 7 c What is the fifth smallest value in 0.22, -0.2, -1, 2/5, 0.3? 2/5 Which is the biggest value? (a) 3 (b) 2/23 (c) 2 (d) 6 d What is the second smallest value in -40, 10, 0.3? 0.3 Which is the fourth smallest value? (a) 3.4 (b) 0 (c) -4 (d) -1/2 a Which is the second smallest value? (a) 0.4 (b) -68 (c) -3 c What is the second biggest value in 13/15, 0.5, 8, 1/5? 13/15 What is the smallest value in 34, 3, -3? -3 Which is the third biggest value? (a) 1 (b) -5 (c) -3 (d) -1 (e) 8/95 d What is the second biggest value in -0.5, -2, -12? -2 Which is the second biggest value? (a) 0.4 (b) 2/3 (c) 1/2 (d) -0.56 (e) -0.5 c What is the fifth smallest value in 0.1, 1/14, 1.4, -4/5, -0.3? 1.4 Which is the biggest value? (a) 0.04 (b) -0.3 (c) 0.19 (d) 0.3 d Which is the fourth smallest value? (a) -1.2 (b) 2 (c) 0 (d) -5 b Which is the third smallest value? (a) -6 (b) 3 (c) 2 b Which is the second smallest value? (a) 0 (b) -2 (c) -1/15 c What is the biggest value in 10, -0.14, -0.3? 10 What is the third biggest value in -0.15, 0.2, 0, -2/9, 0.4? 0 Which is the second biggest value? (a) 0.303 (b) -0.1 (c) 3 (d) -5 a What is the third biggest value in -4, 4, -765, -4/3, 0.2? -4/3 Which is the fourth smallest value? (a) 2 (b) -5 (c) -6 (d) 1/5 a Which is the second biggest value? (a) 5/11 (b) 4 (c) 5/6 c What is the third biggest value in 0.2, -29/7, -0.3, -0.74? -0.74 Which is the biggest value? (a) 7/8 (b) -0.5 (c) 9 c What is the third biggest value in -3, -1/4, 0.02, 2? -1/4 What is the second biggest value in 7/4, 1, -0.2, 5? 7/4 What is the smallest value in 0.5, -0.6, -0.2471? -0.6 Which is the smallest value? (a) -2/9 (b) 892 (c) 0.05 a Which is the third smallest value? (a) 2/15 (b) -3 (c) 1.02 (d) -5 a What is the second biggest value in 0, -0.7, -4, -0.5? -0.5 Which is the third biggest value? (a) -14 (b) 1/5 (c) 2/3 (d) 1 b What is the second biggest value in -0.1, 3, 2/3? 2/3 Which is the fourth biggest value? (a) -4 (b) -56 (c) 1/2 (d) -3/5 b What is the biggest value in 3, -1, 7, 1/9? 7 Which is the smallest value? (a) 0.1 (b) 3 (c) -4 (d) -1/12 c Which is the smallest value? (a) -6/13 (b) 3 (c) 0.2 a What is the second biggest value in -0.5, -8/5, -1/3, 2/11? -1/3 Which is the smallest value? (a) 1/13 (b) 0.5 (c) 4/5 a What is the third smallest value in -0.029, -3, 0, 4, 1/5? 0 Which is the third biggest value? (a) 5/2 (b) -8 (c) -2/95 b What is the second smallest value in -6, -2, 2/13? -2 Which is the third smallest value? (a) 3 (b) -6 (c) 2 a Which is the second smallest value? (a) -4 (b) 1/12 (c) 1 b What is the fourth smallest value in -0.3, 26, -1, 3, -0.1? 3 What is the biggest value in -0.4, -0.5, 1, 5? 5 Which is the biggest value? (a) 0.1 (b) -0.0913 (c) -2/9 (d) 0.3 (e) 0.5 e What is the second biggest value in -1/28, -3, -29? -3 Which is the second smallest value? (a) -2868 (b) 3 (c) 1 c Which is the smallest value? (a) 13 (b) -3 (c) 0.2 (d) -0.02 b What is the smallest value in -0.4, -5, 0.071? -5 What is the third biggest value in -225, 1/3, 1/5, -0.5, -4? -0.5 What is the fourth biggest value in 1, 4, 0, 8? 0 Which is the third smallest value? (a) 4 (b) -1/2 (c) 0.6 (d) 2.6 d What is the second smallest value in -2, 3, 1, 309? 1 What is the fourth smallest value in 1, 2, -28, 3? 3 Which is the smallest value? (a) 3/2 (b) 0 (c) 95 b Which is the smallest value? (a) -1.6 (b) -2 (c) 3 (d) -2/11 (e) 2/11 b Which is the second biggest value? (a) -0.3 (b) 126 (c) -1/4 (d) -3 c What is the second biggest value in 104/11, -5, -0.6? -0.6 Which is the smallest value? (a) -1 (b) 7/4 (c) 1/3 a Which is the second biggest value? (a) 95 (b) 1/4 (c) -3 b What is the biggest value in 1, 4, 46, -5/2? 46 What is the fourth biggest value in -3, -85, 0.3, -7? -85 Which is the second smallest value? (a) -0.3043 (b) 0 (c) 2 b Which is the second smallest value? (a) -0.04 (b) -2 (c) -0.5 c Which is the smallest value? (a) -4 (b) 3 (c) 0.09 (d) -8 d What is the biggest value in 7/6, 3, -3/2? 3 What is the second biggest value in 0.1, -5, 0.5, -1/4? 0.1 Which is the smallest value? (a) 4 (b) -2/263 (c) -2/13 c What is the third smallest value in -0.2, 31/3, 0.5, 4? 4 Which is the third biggest value? (a) -0.13 (b) 0 (c) -2/9 (d) 16 a Which is the second biggest valu
{ "pile_set_name": "DM Mathematics" }
1952? 2 What is the hundreds digit of 274? 2 What is the tens digit of 18607? 0 What is the hundreds digit of 2480? 4 What is the tens digit of 234? 3 What is the hundreds digit of 1150? 1 What is the units digit of 7887? 7 What is the units digit of 22016? 6 What is the thousands digit of 10417? 0 What is the hundreds digit of 9923? 9 What is the hundreds digit of 1339? 3 What is the tens digit of 525? 2 What is the tens digit of 5943? 4 What is the ten thousands digit of 10687? 1 What is the units digit of 865? 5 What is the ten thousands digit of 17887? 1 What is the tens digit of 6018? 1 What is the thousands digit of 6403? 6 What is the units digit of 5229? 9 What is the ten thousands digit of 58208? 5 What is the units digit of 27517? 7 What is the hundreds digit of 2636? 6 What is the tens digit of 56006? 0 What is the hundreds digit of 2376? 3 What is the units digit of 1458? 8 What is the tens digit of 3393? 9 What is the hundreds digit of 17560? 5 What is the tens digit of 5491? 9 What is the ten thousands digit of 37222? 3 What is the hundreds digit of 774? 7 What is the units digit of 5929? 9 What is the tens digit of 315? 1 What is the units digit of 45330? 0 What is the units digit of 24713? 3 What is the hundreds digit of 336? 3 What is the tens digit of 51892? 9 What is the tens digit of 9735? 3 What is the units digit of 66141? 1 What is the units digit of 53296? 6 What is the ten thousands digit of 48726? 4 What is the units digit of 1601? 1 What is the ten thousands digit of 26356? 2 What is the units digit of 2259? 9 What is the units digit of 207? 7 What is the thousands digit of 1928? 1 What is the hundreds digit of 56269? 2 What is the hundreds digit of 3518? 5 What is the ten thousands digit of 47096? 4 What is the hundreds digit of 7946? 9 What is the thousands digit of 12816? 2 What is the units digit of 8997? 7 What is the units digit of 6723? 3 What is the thousands digit of 48725? 8 What is the hundreds digit of 745? 7 What is the hundreds digit of 11237? 2 What is the thousands digit of 3000? 3 What is the thousands digit of 2624? 2 What is the units digit of 9156? 6 What is the thousands digit of 9320? 9 What is the thousands digit of 3493? 3 What is the tens digit of 503? 0 What is the hundreds digit of 4513? 5 What is the tens digit of 65149? 4 What is the hundreds digit of 1065? 0 What is the thousands digit of 6094? 6 What is the hundreds digit of 941? 9 What is the hundred thousands digit of 109381? 1 What is the units digit of 5962? 2 What is the units digit of 60990? 0 What is the ten thousands digit of 36649? 3 What is the thousands digit of 51980? 1 What is the thousands digit of 33689? 3 What is the tens digit of 429? 2 What is the tens digit of 9586? 8 What is the hundreds digit of 1751? 7 What is the units digit of 7524? 4 What is the ten thousands digit of 19742? 1 What is the hundreds digit of 3515? 5 What is the thousands digit of 8211? 8 What is the ten thousands digit of 18493? 1 What is the units digit of 718? 8 What is the ten thousands digit of 30202? 3 What is the units digit of 7591? 1 What is the tens digit of 128? 2 What is the tens digit of 66082? 8 What is the tens digit of 42467? 6 What is the units digit of 6782? 2 What is the tens digit of 416? 1 What is the tens digit of 11461? 6 What is the tens digit of 4147? 4 What is the tens digit of 4272? 7 What is the hundreds digit of 14656? 6 What is the hundreds digit of 1350? 3 What is the hundreds digit of 8494? 4 What is the tens digit of 4847? 4 What is the units digit of 23518? 8 What is the hundreds digit of 171? 1 What is the units digit of 2893? 3 What is the units digit of 10144? 4 What is the hundreds digit of 2638? 6 What is the hundreds digit of 1198? 1 What is the units digit of 97993? 3 What is the units digit of 798? 8 What is the tens digit of 18449? 4 What is the tens digit of 21479? 7 What is the ten thousands digit of 36788? 3 What is the tens digit of 97524? 2 What is the thousands digit of 141273? 1 What is the units digit of 29598? 8 What is the hundreds digit of 662? 6 What is the thousands digit of 54869? 4 What is the hundreds digit of 142054? 0 What is the tens digit of 1473? 7 What is the units digit of 4214? 4 What is the thousands digit of 15510? 5 What is the hundreds digit of 876? 8 What is the units digit of 5615? 5 What is the tens digit of 586? 8 What is the ten thousands digit of 25160? 2 What is the thousands digit of 19004? 9 What is the hundreds digit of 737? 7 What is the units digit of 6944? 4 What is the tens digit of 985? 8 What is the thousands digit of 18869? 8 What is the tens digit of 5943? 4 What is the tens digit of 1285? 8 What is the hundreds digit of 28157? 1 What is the ten thousands digit of 16434? 1 What is the units digit of 1530? 0 What is the tens digit of 458? 5 What is the thousands digit of 4099? 4 What is the units digit of 25624? 4 What is the thousands digit of 1213? 1 What is the units digit of 2145? 5 What is the tens digit of 19387? 8 What is the tens digit of 6413? 1 What is the tens digit of 7907? 0 What is the ten thousands digit of 44192? 4 What is the hundred thousands digit of 119640? 1 What is the tens digit of 392? 9 What is the thousands digit of 115922? 5 What is the tens digit of 16988? 8 What is the units digit of 26822? 2 What is the thousands digit of 19580? 9 What is the units digit of 8? 8 What is the tens digit of 87292? 9 What is the hundreds digit of 1011? 0 What is the units digit of 820? 0 What is the hundreds digit of 1275? 2 What is the units digit of 45558? 8 What is the units digit of 75395? 5 What is the ten thousands digit of 19687? 1 What is the thousands digit of 2305? 2 What is the tens digit of 1253? 5 What is the ten thousands digit of 13555? 1 What is the tens digit of 8862? 6 What is the tens digit of 8968? 6 What is the units digit of 1144? 4 What is the ten thousands digit of 115102? 1 What is the tens digit of 3291? 9 What is the thousands digit of 7954? 7 What is the units digit of 3226? 6 What is the units digit of 2020? 0 What is the thousands digit of 54717? 4 What is the thousands digit of 45557? 5 What is the hundreds digit of 10288? 2 What is the hundred thousands digit of 181244? 1 What is the units digit of 1362? 2 What is the units digit of 10798? 8 What is the thousands digit of 10442? 0 What is the hundreds digit of 1250? 2 What is the units digit of 101? 1 What is the hundreds digit of 8612? 6 What is the hundreds digit of 25836? 8 What is the units digit of 54998? 8 What is the hundreds digit of 5197? 1 What is the tens digit of 7669? 6 What is the tens digit of 126387? 8 What is the units digit of 45739? 9 What is the units digit of 1803? 3 What is the thousands digit of 173945? 3 What is the tens digit of 2553? 5 What is the hundreds digit of 9665? 6 What is the hundreds digit of 11968? 9 What is the thousands digit of 109589? 9 What is the thousands digit of 1480? 1 What is the hundreds digit of 4270? 2 What is the units digit of 525? 5 What is the ten thousands digit of 49686? 4 What is the tens digit of 5299? 9 What is the thousands digit of 2179? 2 What is the units digit of 1571? 1 What is the thousands digit of 8946? 8 What is the tens digit of 985? 8 What is the tens digit of 842? 4 What is the hundreds digit of 110782? 7 What is the thousands digit of 5217? 5 What is the tens digit of 7602? 0 What is the thousands digit of 3735? 3 What is the thousands digit of 47927? 7 What is the thousands digit of 3032? 3 What is the units digit of 12335? 5 What is the units digit of 9264? 4 What is the hundreds digit of 9500? 5 What is the thousands digit of 20937? 0 What is the units digit of 5433? 3 What is the units digit of 2682? 2 What is the thousands digit of 22874? 2 What is the thousands digit of 49086? 9 What is the units digit of 782? 2 What is the units digit of 10657? 7 What is the thousands digit of 140995? 0 What is the tens digit of 3240? 4 What is the units digit of 47? 7 What is the hundreds digit of 765? 7 What is the tens digit of 967? 6 What is the hundreds digit of 316? 3 What is the tens digit of 3982? 8 What is the hundreds digit of 8401? 4 What is the ten thousands digit of 91903? 9 What is the hun
{ "pile_set_name": "DM Mathematics" }
Suppose -90 = n*z - 9*z. Suppose v = y - 3*y - 1, 0 = 2*y + 10. Calculate the highest common factor of v and z. 9 Let j be 5/(1 + 4/(-2)). Let o(g) = g**3 + 4*g**2 - 6*g - 1. Let a be o(j). Suppose -3 = -a*s + 5. Calculate the highest common factor of s and 22. 2 Let p be (-3)/(1 + 0) - -83. Calculate the greatest common factor of 8 and p. 8 Suppose 2*v - 2*x = 24 + 12, 0 = 5*v - x - 78. What is the highest common divisor of v and 25? 5 Let b(c) = 2*c**2 - 12*c + 20. Let m be b(8). Let k(r) = -r**3 + r**2 - r + 26. Let s be k(0). Calculate the greatest common factor of m and s. 26 Suppose -3*m + 221 = v, -4*m - 2*v + 373 - 81 = 0. Calculate the highest common divisor of m and 90. 15 Let l = -68 - -124. Suppose -3*b + 1 = -8, -68 = -4*z - 4*b. What is the highest common divisor of l and z? 14 Let l = -11 + 47. Calculate the greatest common divisor of l and 9. 9 Let m = 9 - -16. Suppose 4*c + m = h, -2*h - 3*c - 20 = -3*h. Let p = 123 + -88. Calculate the greatest common divisor of h and p. 5 Let h(t) = -30*t - 10. Let p be h(-3). Calculate the highest common divisor of p and 16. 16 Suppose -4*y = 3*w - 25, 4*y + 11 = 6*y + w. Suppose 6*p = 5*l + 2*p - 206, 0 = -3*p + 3. Suppose 3*u = -6 + l. Calculate the highest common divisor of y and u. 4 Let f be 6/(-4)*(-5 + 3). Suppose 5*l - 20 = f*l. Calculate the highest common divisor of 4 and l. 2 Suppose 5*f - 2*f + 5 = 2*j, 0 = 3*f - 3. Let i = -2 - j. Let s be (i/4)/((-5)/10). What is the highest common divisor of 6 and s? 3 Suppose -5*k + 66 = 26. Calculate the greatest common divisor of 16 and k. 8 Let s be (-3 - -8)*-1*1. Let b = s + 13. Calculate the greatest common divisor of 24 and b. 8 Let t = 9 - 9. Suppose t = -5*l - 46 + 1. Let c be 2/(-3)*l/3. Calculate the highest common factor of 6 and c. 2 Suppose -4*h + 1 = -15. Suppose 0 = h*q - q - 24. What is the greatest common divisor of 16 and q? 8 Let u(j) = j**2 + j + 45. Let d be u(0). Suppose -25 = -5*a + d. Let b = 6 + 15. Calculate the highest common factor of b and a. 7 Let h be 4 + 1/(5/230). Calculate the highest common factor of 10 and h. 10 Let x(p) = 12*p**2 - 1. Let a(m) = -11*m**2 + 1. Let r(q) = 4*a(q) + 5*x(q). Let d be r(1). What is the greatest common divisor of 45 and d? 15 Let i be ((-12)/10)/(1/(-15)). Suppose 289 = 11*z - 8. Calculate the highest common divisor of z and i. 9 Let u(q) = 2*q**2 + q - 3. Let y be u(-4). What is the greatest common factor of y and 125? 25 Let v(l) = -31*l. Let u be v(-1). Let c = 71 - u. Calculate the greatest common factor of c and 8. 8 Let h = 8 + -18. Let z be -20*h/(-8)*-2. Calculate the greatest common factor of z and 25. 25 Suppose -50 = -4*w - 3*p, -3*w + 24 = -w + 2*p. Calculate the highest common divisor of 126 and w. 14 Let m(u) = 5*u + 3. Let w be m(6). Let o(x) = -x**2 + 12*x + 11. Let r be o(11). What is the highest common factor of r and w? 11 Suppose -5 - 11 = -2*z. Calculate the highest common divisor of 88 and z. 8 Suppose 11 - 39 = -2*d. Let o(w) = -w**3 - 7*w**2 - 7*w - 4. Let b be o(-6). Calculate the greatest common factor of b and d. 2 Let g be 2/(-6)*-27*1. Suppose 3*k = -3*h + g, 0 = -4*k - 4 - 0. Let p = 11 - h. Calculate the highest common divisor of p and 21. 7 Suppose -a - 4*h = -h + 21, 24 = -2*a + 3*h. Let i be ((-5)/a)/(2/60). What is the highest common factor of 30 and i? 10 Suppose 9 = z - 2*x, 18 = 4*z + x - 27. What is the greatest common factor of z and 1? 1 Let i(q) = 44*q + 4. Let u be i(3). Suppose -f + 4*f - 4*x = 51, 3*x = 3*f - 51. Let k = f + 0. What is the highest common divisor of k and u? 17 Let a(g) = -21*g**3 - 2*g**2 + 3*g + 4. Let i be a(-3). Suppose 3*w = 7*w + i. Let h = w + 190. What is the greatest common factor of 6 and h? 6 Suppose -5*l = -5, 0*i - 163 = -2*i + 5*l. Calculate the greatest common factor of 21 and i. 21 Let d be (-99)/(-2) - 2/4. Calculate the highest common factor of d and 7. 7 Suppose -2*q + 2*y = -12, -4*q + 10*y - 7*y = -20. Suppose -s - 3 + 5 = 0. What is the highest common factor of s and q? 2 Let r(g) = g**2 + 14*g + 9. Let h be r(-8). Let t be (6/(-9) - 3)*h. What is the greatest common factor of 13 and t? 13 Let n(y) = 4*y - 2. Let x be n(3). Calculate the greatest common factor of x and 25. 5 Suppose -7*p - 5*g = -2*p - 80, 56 = 3*p - 5*g. Let j(t) = -2*t**3 - 7*t**2 - 8*t + 2. Let h be j(-3). What is the highest common factor of p and h? 17 Suppose -n - 19 = -4*b - 0, n + 15 = 3*b. Suppose -3*q + 3*x = -51, 4*x - 28 + 24 = -2*q. What is the highest common divisor of q and b? 4 Let p be (18/8)/(2/8). Let l be 7 + 12/4 + -1. Calculate the greatest common factor of p and l. 9 Suppose -240 = 3*d - 6*d. Let p = d + -47. Calculate the highest common factor of 22 and p. 11 Suppose -5*u + 2*n + 20 = 0, 2*n = 4*u - n - 16. Calculate the highest common factor of u and 4. 4 Let v(p) = 78*p - 3. Let k be v(4). Let m be (-12)/(-6)*199/2. Let i = k - m. Calculate the highest common factor of 10 and i. 10 Let b = 10 - 24. Let i = -9 - b. What is the highest common divisor of 40 and i? 5 Let z(m) = 4*m - m**2 - m**3 - 4 - 10*m - 3*m**2. Let i be z(-5). Calculate the greatest common divisor of 34 and i. 17 Let w(x) = -2*x. Let s be w(-11). Suppose s = 5*j - 78. Calculate the greatest common divisor of j and 20. 20 Let b = -6 - -3. Let x be (-11)/b - (-4)/(-6). Calculate the greatest common divisor of x and 1. 1 Suppose 0 = -5*v - 1368 + 5418. Suppose -2*o - 34 = v. Let b be 2/(-7) - o/7. Calculate the greatest common divisor of 12 and b. 12 Let b = -277 + 502. Calculate the highest common divisor of 25 and b. 25 Let o(r) = -r**3 - 8*r**2 + 6*r - 17. Let i be o(-9). Calculate the highest common divisor of 5 and i. 5 Let i(m) = 9*m**2 + 1. Let c be i(-1). Let s be 68/11 + (-6)/33. Let b = c - s. What is the greatest common factor of 36 and b? 4 Suppose 5*z - 26 = -4*u, 4*u - 1 = -4*z + 27. Let m = u + -6. Suppose 0 = -m*q - 1 + 16, -15 = i - 4*q. Calculate the greatest common factor of i and 2. 1 Suppose 3*h = -3*t + 12, -4*t + 3*h + 4 = t. Let w = 47 - 70. Let z be (-5)/t*(w + -1). Calculate the highest common factor of z and 24. 12 Suppose -k = n - 5, 0 = -3*n + k - 5*k + 13. Calculate the highest common factor of n and 49. 7 Let z(q) = q**2 + 4*q + 7. Let t be z(-5). Let y be (11 + (1 - 3))*4. What is the greatest common factor of y and t? 12 Suppose -4*x - 10 = x. Let t be 6 - (-1)/((-2)/x). What is the greatest common factor of 56 and t? 7 Let y(p) = -p - 5. Let d be y(-10). What is the highest common factor of d and 15? 5 Suppose 20 + 0 = 4*d. Suppose 2*n = -2*n + 20. Calculate the highest common divisor of d and n. 5 Suppose -2*f = 2*f. Suppose b = -f*b + 10. Let k = -32 + 34. Calculate the greatest common divisor of k and b. 2 Let a(w) = 21*w**3 - 4*w**2 + 3*w - 2. Let u be a(2). Suppose 3*t + 24 = 4*t - 3*p, 4*t - u = -3*p. Calculate the greatest common factor of t and 9. 9 Let q = -2 - -36. Calculate the greatest common divisor of 102 and q. 34 Let l = 0 - 2. Let f be (10/(-25))/(l/720). What is the greatest common divisor of f and 18? 18 Suppose -2*y + 95 + 65 = 0. Suppose -4*t + 75 = -5*k - 30, -4*k = -3*t + y. What is the greatest common divisor of 5 and t? 5 Let v = 6 + -4. Let k be 18 - (8/3 - (-2)/(-3)). Calculate the greatest common factor of v and k. 2 Let d(x) = x**3 + 49. Let u be d(0). Let o = u - 29. What is the greatest common divisor of 50 and o? 10 Suppose -2*n + 1 = -3. Suppose -n*t + 24 = -60. Let j(l) = 2*l**3 - 4*l**2 - 4. Let h be j(3). What is the greatest common factor of h and t? 14 Suppose y - 14 = 63. Calculate the highest common divisor of 7 and y. 7 Let t be 5/(35/72)*7. What is the greatest common factor of 18 and t? 18 Let x(n) = 2*n**2 + 14*n - 11. Let q be x(-11). What is the highest common factor of 7 and q? 7 Suppose -28 = -t - 7. Let n = -5 + t. Calculate the greatest common divisor of n and 24. 8 Let i(w) = 3*w - 6. Let r be 0 - 3 - 8/(-1). Let n be i(r). What is the highest common factor of n and 6? 3 Suppose -12 = -y + 14. Let g be 0*(2 - (6 + -3)). Suppose g = -5*r - 4*n + 309, r + n + 3*n - 49 = 0. What is the greatest common factor of y and r? 13 Suppose -5*n + 2*d = -18, n + 4 - 3 = 5*d. Let u be 1 + 2 + -2 + n. Calculate the highest common divisor of 25 and u. 5 Let j(c) = -c
{ "pile_set_name": "DM Mathematics" }
7*w + 3, 0 = 5*z + 124*w - 19*w - 585 for z. 54 Solve -2*a - 8*u = -46, 10597 - 10598 = -4*a - 3*u for a. -5 Solve -295*v - 5*j = -290*v, -124*v - 180 = -2*j + 72 for v. -2 Solve 4*q = 5*a + 90, 8*q + 844 = 3*q + a + 946 for q. 20 Solve 7407*n - 5*r - 160 = 7407*n, -n - 50*r = 1597 for n. 3 Solve 0 = -3*n + 4*p + 2202 - 2224, 3*n - 3*p = -21 for n. -6 Solve 0 = -4*o + 17183*z - 17176*z + 17, 3*z = 4*o - 5 for o. -1 Solve 32*x - 2*u - 2*u = -2100, -3*x - 153 = -u + 42 for x. -66 Solve -30 = -2*k - 4617*o + 4626*o, 3*k = -3*o + 12 for k. 6 Solve -4*d - 12 = 0, 346 = -8*f - 3122*d + 3124*d for f. -44 Solve 5*t = -2*x - 2, -2*t - x - 1422157 = -1422154 for t. 4 Solve 11*k - 6*k - 24 = -7*a, k + 15 = 2*k - 2*a for k. 9 Solve -380 = -u - d - 376, 0 = 3*u - 2*d - 7 for u. 3 Solve -296*a + 143*a + 158*a - 5*i = 20, 7*i = 2*a - 8 for a. 4 Solve 1797*o + 4*f + 39 = 1792*o, 3*o - 79 = 4*f for o. 5 Solve -10 = 2*k, 33140*m - 60*k = 33139*m + 322 for m. 22 Solve 63*j - 54*j + 115 = -2*n + 47*j + 37, -4*n + 4 = 4*j for n. -1 Solve 0*b - 2*b + 10*a - 123 = -5*b + 9*a, 3*b + 210 = 110*a for b. 40 Solve 2*w + 7*t = -5*t + 6*t + t + 5, -4*w - 4*t + 4 = 0 for w. 0 Solve 2*r + 943 = -5*i + 945, 0 = 3*r + 3*i + 6 for r. -4 Solve -y - 441 = 6*g - 427, 4*g + 6*y + 18 = y for g. -2 Solve q + 2*c + 1 = 0, -q + 36001*c - 16 = 35998*c for q. -7 Solve -715*l + 731*l + 4*z - 228 = 0, 2*l + 4*z = 18 for l. 15 Solve 18*g + 3*o + 75 = -g, 8 = -2*o - 4 - 0 for g. -3 Solve o = -0*o - o - 2*v + 2, -8*o + 7*o + 39*v - 39 = -5*o for o. 0 Solve -3*m - 9*m + 15*c + 21 = 8*c + 10*c, -3*m - 14 = -2*c for m. 0 Solve t - 8 = -568*q + 572*q - 2, -16*q = -2*t + 4 for q. 1 Solve 0 = 2*i - 5*u + 153, 39852*i - 39851*i = -u + 25 for i. -4 Solve -29 = -4*h - 2*l - 5 + 8 - 10 + 36, -5*l = -145 for h. 0 Solve 12*r = 11*r - 246*y - 719, -3*r - 5*y + 60 = -6*y for r. 19 Solve -3*p + 59 = -5*n + 28, -2*n = -2 for p. 12 Solve -16716*x - 4*c = -16719*x + 15, 5*x + c = 25 for x. 5 Solve 908*k + 926*k + 2*h - 436 = 1790*k, 6 = k + 2*h for k. 10 Solve -3*c - 36 = 5*m, 0*m = 10*m - 4*m + c + 51 for m. -9 Solve 8 - 12 = 7*j - 13*j - 4*a - 8, 192 = -j - 28*a for j. 4 Solve -5*w - c + 29 = -5*c, 5*w + 2*c + 4 - 27 = 0 for w. 5 Solve -3*h - 3 = 2*h - 3 + 10, 19*h = 5*v + 2 for v. -8 Solve -38*p + 42*p + 2*r = -20, p + 3*r = -0*p - 5 for p. -5 Solve 3*k = -4*j + 5*k - 20 + 66, -3*j + 2445 = -121*k + 3008 for j. 14 Solve -k - 6*h = -1 - 83, -4*k = h + 4*h - 70 for k. 0 Solve 4*a + 62*d - 123 = a + 74*d, 11 = -3*d - 16 for a. 5 Solve 57 = 2*g + 3*d, -18*g + 3*d + 72 = -14*g - 51 for g. 30 Solve 9*o - 2*i - 21543 = -21470, 4 = i for o. 9 Solve 4*r - 25 = -5*w + 1, 14*w + r = 13*w + 5*w + 17 for w. -2 Solve -5*x + 5908 = 5*f + 5828, -132*x - 4*f + 1600 = 0 for x. 12 Solve 0 = -4*o + 4*y + 208, 4*o + 103*y + 102*y - 199*y = -272 for o. 4 Solve -3*a = -3*a + 9*r - 8 - 10, 5*a - 2*r = 729 - 728 for a. 1 Solve -21*z - 5473 = -20*z + 96*i, 2*z - 3*i - 183 + 14 = 0 for z. -1 Solve 99 = -i + s - 5*s, -39*i + 48 = -39*i - 2*s for i. -3 Solve 0 = 8*b - 5*s - 139 - 75, 2*b - s = 28 + 14 for b. -2 Solve -115442 + 114894 = 5*b + 98*f, 5*b - f = 46 for b. 8 Solve 2*m - 16 = 3*x, 13506*x = -m + 13502*x - 3 for m. 5 Solve -6*g - 36 = 0, -6*g + 630 = -13*u + g + 711 for u. 3 Solve -4*h + 41 = -4*v - 23, -5*h - 11*v + 27*v = 10*v - 84 for h. 12 Solve -7*q - 28177*k - 138 = -28178*k, 0 = -q - 3*k - 4 for q. -19 Solve -93*o - 5*n + 11 - 7 = -94*o, -34*o = -6*n + 300 for o. -9 Solve -3*y - 11*i = -46 - 68, -204 = -7*y + 34*i - 39*i for y. 27 Solve -3*m + 2 = -0*m + 5*d, 5*m + 7*d = -986 + 988 for m. -1 Solve -100 = 7*m + c, 50*m + 56*m + 45 = -63*m + 167*m + 3*c for m. -15 Solve 3*j + 22*n + 24 = 20*n, 5*j + 5*n + 22*n + 55 = -127 for j. -4 Solve 4*u + 92 = -5681*a + 5677*a, 25*a - 133 = -4*u + 30*a for u. 2 Solve -5*f + 54*q + 37 + 47 = 0, 2*q = 29*f - 30*f + 68 for f. 60 Solve -152*r + 147*r - 11 = -4*n, -37*r - 7 = -40*r - n for r. 1 Solve r = -3*p + 19, 27*p + 26*p + 27*p + 370*r = 81*p + 1475 for p. 5 Solve 11*z = -88*m + 42*m + 43*m + 209, 5*z + m + 12 = 107 for z. 19 Solve 0 = -137*c + 132*c + 2*z + 40, 0 = 13*c + z - 104 for c. 8 Solve -5*s + 5 = 2*m + 3 - 23, 8867*s + 48 = 3*m + 8864*s for m. 15 Solve -7*n + 96 = -3*z, 2*n = -7171*z + 7166*z - 160 for z. -32 Solve 5*o + 4*c + 68 = 84, -7*o - 3*c + 32 - 7 = 0 for o. 4 Solve y = 4*y - 2*y - j + 8, 35*j - 192 = -52 for y. -4 Solve 0 = -z + 3, -3*y + z + 3097 - 3151 = 0 for y. -17 Solve 0 = -3*g - 2*g + 892 - 912, 0 = 6*p - g + 14 for p. -3 Solve -2*k - 2*n - 66 + 48 = 0, 4*k + 8*n - 2*n - 3*n + 30 = 0 for k. -3 Solve -81*y + 1122 = 3*t, 12550*t + 5*y = 12551*t + 74 for t. -4 Solve -4*l - 5*n = 28, 2*l - 29*n = n - 3*n + 104 for l. -2 Solve -135*l - 64 = -49*l - 97*l + 3*a, -a = -5*l + 32 for l. 8 Solve 3*y - a + 5*a = -17, 3*y + 2*a - 9980 + 9987 = 0 for y. 1 Solve -134*x = -16*x + 10*x - 3*u - 183 - 225, -5*u - 43 = -x for x. 3 Solve -34 = -4*g - 5*s, -56*g + 188*g - 1063*s + 1058*s = 102 for g. 1 Solve -197 = 3*k - 87*t - 172 - 735 - 589, 4*t + 64 = -2*k for k. -2 Solve -2*t + 17*m - 55 = 18*m + 43, -2*t = 25*m + 50 for t. -50 Solve -13*k = 3*w + 663, 6*k = -k + 3*k - 6*w + 4*w - 204 for k. -51 Solve 0 = -2*h + 5*q - 44, h + 29361014 = 4*q + 29360977 for h. 3 Solve -2*i - 2*o - 10 + 36 = 0, -2*i + 71 + 98 = -5*i + 10*o for i. -3 Solve 2688*m - 60 = 52*f + 2690*m, -2*f - 2*m - 10 = 0 for f. -1 Solve -134 = 303*n - 307*n + 43*s, -3*n + 44 = -4*s for n. 12 Solve -5*t + 5654*y = 5636*y - 80, -y - 7 = t for t. -2 Solve 7*d + 3*d - 120 = 5*d + 5*s, -5*d - 2*s + 92 = 0 for d. 20 Solve 18*u + 2 = 3*o + 17*u, -68 = 5*u + 17 for o. -5 Solve a = u + 4, 4*a + 50*u + 60 = -248 for a. -2 Solve -475*n + 471*n - 89 + 56 = 3*f, 121 = -19*f + 4*n for f. -7 Solve 3*g + 5*z = -20, -2*g - 43*z = -71*z + 29*z - 3 for g. 5 Solve -5*m + 954 = -4*u - 1037 + 1889, -m + 17 + 3 = -u for m. 22 Solve -13*y + 208 = -55*l + 104*l - 52*l, 2*y = -8*l - 4*l - 616 for y. 4 Solve 6*s + 27*v - 102 = 0, 35*v - 49 = -3*s + 30*v + 2 for s. 17 Solve 30*j + 146*k = 27*j - 304, j + 24*k = 28*k + 4 for j. -4 Solve 2*o + 21 = -q, 55535*o - 129 = 55546*o + 10*q for o. -9 Solve 172*z - 350*z = -174*z + 2*n + 62, -2*n - 13 = z - 5 for z. -18 Solve 6*f = f - 1072*b + 1074*b - 29, -2*f + 2*b - 8 = 0 for f. -7 Solve -2*z = h - 7*z + 190, -10*z - 15*z = -5*z - 760 for h. 0 Solve 3*o + 3 = -3*p, p - 66*o - 703 = 96*o - 215 for p. 2 Solve -239558 = u + 3*h - 239553, -u - 2*h = 7 for u. -11 Solve -7*t + 22 = -3*k, 810*t - 400*t = 407*t + 3*k + 18 for t. 1 Solve -2*a - 4*g = 3*a - 3, 1099*a - 33*g + 71 = 2196*a - 1102*a for a. -1 Solve -2*r + 3*w - 1 = 0, -26854*r - w + 19 = -26857*r for r. -8 Solve -5*v = -z - 3*z + 621 - 562, -4*z + 65 = v for v. 1 Solve 13*j + 3*w + 0 = 38, -51*j + 29*j + 18*j + 5*w + 65 = 0 for j. 5 Solve -3*o - 8306*x + 8308*x - 29 = 0, 20 = 3*o + 5*x for o. -5 Solve -37*p + 34*p = -4*o - 85, 2*o + 109*p - 5890 = -59*p for o. 5 Solve 7*g + 145256*h = 145261*h - 42, 0*g + 2*h + 2*h - 18 = 3*g for g. -6 Solve -52*w + 248 = 2*s, -12 - 2 = -5*s + 11*s + 5*w - 3 for s. -6 Solve 0 = -2*b - h - 75, 59015*b - 3*h + h + 50 = 59014*b for b. -40 Solve -13*l - 427 = -4*c + c - 334, -31 = -c - 2*l for c. 31 Solve -v - 5*v - v - 5*y - 37 = -3*v - 96, 0 = -2*y + 6 for v. 11 Solve -10*z + 60 = 0, -489*z + 486*z = -6*t - 24 for t. -1 Solve 0 = 4*u + 4*g + 8, u - 3*g = -1703 + 1681 for u. -7 Solve -r - 15*h = -32*h + 10*h + 16*h + 24, 0 = 4*r - h - 52 for r. 12 Solve 17251*i - 17232*i = -t + 458, -15*i - t + 362 = 0 for i. 24 Solve -5*o - 36 - 6 = -2*d, 22*o + 21 = -3*d + 4*d for o. 0 Solve 3*z - x - 26 = 0, 0*z + x - 4 = 13*z + 5*x for z. 4 Solve -2*y + 5*b - 37 = 0, 64 = -2*y + 972370*b - 972374*b for y. -26 Solve 5*h + 5*l + 10 = 0, -4*h - l - 32 + 39 = 0 for h. 3 Solve -39*s - 5 = -40*s + v, -63 = -35*s + 8*s + 3*v for s. 2 Solve -3*l + 4*n - 4 - 24 = 0, -4*n + 328 = 9*l + 348 for l. -4 Solve -4*w - 20 = -10*h, 3*w - 83*h - 83*h - 1 = -2*w - 161*h + 4 for w. 5 Solve -4*f = 13*y - 14*y - 49, -110*y + 33*f - 398 = -108*y for y. -1 Solve 13 = -3*n + 5*c + 14, -4*c - 12 + 12 + 7 = -5*n for n. -3 Solve 0 = 13*g + 14*t - 16*t - 25, 3*g - g - 22*t + 130 = -15*t for g. 5 Solve -5*w + 226487*v - 226486*v - 133 = 0, -4*v + 14
{ "pile_set_name": "DM Mathematics" }
+ -204. What is the common denominator of q/16*-2 + 0 and 5/14? 28 Let i = 7 - 7. Suppose 4*a + a - 20 = i. Calculate the lowest common multiple of 6 and a. 12 Let h(w) = -2*w + 28. Calculate the smallest common multiple of h(10) and 8. 8 Let h be 2/(-5) + (-66)/(-15). Suppose -w + 4*b - 3*b + 55 = 0, 0 = w + h*b - 30. Let x = -93/2 + w. What is the common denominator of x and 107/12? 12 Suppose 5*h - 57 = -4*f, 5*f = 4*h + 2*f - 27. Calculate the least common multiple of 9 and h. 9 Suppose -3*k + 2*v = -0*v - 68, 0 = 3*k + 3*v - 78. Calculate the smallest common multiple of 2 and k. 24 Suppose 5*r + 3*c = 42, 4*r - 2*r - 5*c = -8. Let y = r - 0. Suppose -p + 0 = -y. Calculate the least common multiple of 8 and p. 24 Suppose -18 = 5*n + 7, 3*f + 5 = -n. Suppose -b + 14 = -f*b. Calculate the least common multiple of b and 2. 14 Let n = -827/63 + 86/9. Let q be 1/(2/4*-2). Calculate the common denominator of n and (1 - q)*45/22. 77 Let f = -281291/18 - -15621. What is the common denominator of -47/58 and f? 522 Suppose -w + 0*g - 3*g - 10 = 0, 0 = 2*w + 3*g + 8. Let t(x) = 2*x**2 + 4*x. What is the smallest common multiple of t(-3) and w? 6 Let l(s) = s**2 + 16*s + 19. Calculate the smallest common multiple of 12 and l(-15). 12 Let t = -25 + 28. Let s = 13 + t. Suppose -2*m + 31 = 7. What is the least common multiple of m and s? 48 Let a = 85/4 + -3/4. Calculate the common denominator of a and 39/10. 10 Let u = 6 + 2. What is the least common multiple of 12 and u? 24 Let p be (9/(-2))/(1/(-2)). Let s be 9*42/p + 2. Suppose -m + 6 = 3*u - s, u - 22 = -3*m. What is the lowest common multiple of 14 and u? 112 Let o(r) = 12*r**3 - 3*r**2 - 7*r + 11. Let s be o(8). Let k be (-4)/10 - s/20. Let j = -8153/28 - k. Find the common denominator of -31/5 and j. 35 Suppose 2*c = 6 + 8. Calculate the lowest common multiple of c and 9. 63 Suppose 11 = -4*c + 35. Let v be (-1)/((8/34)/(-4)). Suppose -1 = l - v. What is the smallest common multiple of c and l? 48 Let p be ((-6)/20)/(28/6195). Let o = 215/1216 + -798871/10944. Let v = o - p. Calculate the common denominator of -13 and v. 9 Find the common denominator of 31/18 and -102*(-2)/88*1. 198 Suppose 17 = 2*a + 3. Suppose 5*k + 56 = 4*h, 0*h + 4*k + 7 = -h. Calculate the least common multiple of h and a. 63 Let n = 19697/9 - 2182. Calculate the common denominator of n and 309/90 + (-4)/(-10). 18 Suppose -4*x - 2*k = -x + 75, 5*x + k = -132. What is the common denominator of -89/4 and -3 + x/(-22) + 1? 44 Let s(b) = -b**2 - 10*b - 12. Let z(y) = -3*y + 7. Let o be z(5). What is the smallest common multiple of s(o) and 4? 4 Let x(t) = -2*t + 2. Let a be x(5). Let b = a - -19. Calculate the smallest common multiple of 4 and b. 44 Let s = -52 + 53. Suppose -5*t = -49 - 1. What is the smallest common multiple of s and t? 10 Let l(u) = -u**2 - 20*u + 26. What is the least common multiple of l(-21) and 1? 5 Let o(c) = 6*c - 18. Calculate the lowest common multiple of o(6) and 22. 198 Suppose -3*x + 0*j = 5*j - 32, -37 = -4*x - j. Suppose 0 = -5*n - 25, -2*h - 3*n = 3*h. Calculate the least common multiple of x and h. 9 Let x(f) be the second derivative of -f**4/12 + 5*f**3/6 + 7*f**2/2 + f. Calculate the least common multiple of x(5) and 6. 42 Let v = -74893/3270 - -38/545. Calculate the common denominator of v and -55/3. 6 Let n(b) = b**3 + b**2 - 2*b + 2. Suppose 0 = c - 7*c + 12. Calculate the smallest common multiple of n(c) and 2. 10 What is the lowest common multiple of 2/(-13) - 656/(-208) and (1 - -1) + 3/(-3)? 3 Let n(w) = w**2 + 15*w + 19. Let m be (-483)/35 - (-1)/(-5). Calculate the smallest common multiple of 9 and n(m). 45 Suppose 3*g - 5*g = 2. What is the lowest common multiple of (-65)/(-4) - g/(-4) and 20? 80 Suppose -3*q + 9 = -12. Suppose q*y = 3*y + 8. What is the common denominator of -89/14 and (79/(-4) + y)/3? 84 Find the common denominator of (744/54)/(-4)*(-3)/(-6) and (-2)/3 - (-205)/24. 72 Let r = 6801/4 - 1709. Find the common denominator of r and ((-2)/(-2)*91)/(-20). 20 Let c be (-213)/15 - 8/10. Let f = 23 + c. Calculate the smallest common multiple of f and -1 - -7 - (2 + -2). 24 Let m = -4 + 12. Calculate the least common multiple of 14 and m. 56 Let n be 2/(-5) - 348/5. Let y = 1854/7 - 267. Find the common denominator of y and (-3)/1 + n/(-22). 77 What is the common denominator of 1/8 + 1524/352 and -16/11? 11 Let q = 7158 - 193235/27. Find the common denominator of -1/24 and q. 216 Suppose 0 = 3*y - 6, y - 5*y = 3*l - 14. What is the smallest common multiple of 28 and l? 28 Let o = -764 + 9157/12. Calculate the common denominator of 95/4 and o. 12 Let y be (-18)/(-15)*(-60)/9. Calculate the lowest common multiple of 8/(-10)*140/y and 22. 154 What is the common denominator of 55/4 and (-938)/(-144) + (-4)/32? 36 Let a be 11/(-2) + (-4)/(-8). Let o = -8 - a. Calculate the least common multiple of 22 and 18 + o/(9/(-6)). 220 Let o(w) = -4*w - 1. Let k be o(-1). Suppose -3*l + 38 = -4*i, -20 = -k*i - 2*i. What is the lowest common multiple of 8 and l? 72 What is the common denominator of 789/210 - (-2)/(-5) and 1 + -1 - 105/(-18)? 42 What is the common denominator of -8/9 and ((-6)/2 + (-638)/(-222))*-4? 333 Let r(a) = -13*a + 2. Let j be r(-2). Suppose -j = -5*x + 2. Let o(i) = i**2 - 3*i - 3. What is the least common multiple of x and o(5)? 42 Suppose 7*q - 208 = 3*q. Let f be ((3 + -3)/1)/(-1). Suppose f = -5*r - 20, -3*p - 3*r = -5*p + q. Calculate the smallest common multiple of p and 16. 80 Let c = -1264 + 23965/19. Let i = c - -1340/209. Find the common denominator of i and 31/11. 11 What is the common denominator of 2 + 1 + 302/(-96) and -95/4? 48 Calculate the common denominator of 324/32 + 1/(-4) and 81/10. 40 Calculate the common denominator of -25/38 and 1/2 - (-273)/(-48). 304 Let r = 2/7785 - 755153/31140. Let m = 40361/1242 + 2/621. Calculate the common denominator of m and r. 4 Let n be -2 - -5 - 41339/8382. Let y = 26/381 + n. Find the common denominator of 73/18 and y. 198 Let t(l) = -7*l + 60. Let r(w) = 8*w - 60. Let p(k) = 6*r(k) + 7*t(k). Let y be p(0). What is the common denominator of 79/18 and 815/y - 1/1? 36 Calculate the common denominator of (5/(-3))/5*-76 and ((-1)/((-50)/45))/((-24)/(-230)). 24 Let s = -1238/15 + 467/6. Let x = 2843/8 - 356. What is the common denominator of x and s? 40 Let r = -1086401/44 + 24692. Find the common denominator of -57/16 and r. 176 Suppose 2379 = 22*z - 19*z. Let d be (-22)/(-6)*3036/(-14). Let f = z + d. Calculate the common denominator of -17 and f. 7 Let d = 391199 - 18743517689/47913. Let y = 5797433/958260 - d. Let s = 71797/20 - 3594. What is the common denominator of s and y? 20 Let a(k) = -k - 6. Let n be a(0). Let l = n + 20. Suppose 3*t - 81 = -2*t + i, t - 3*i - 19 = 0. Calculate the least common multiple of t and l. 112 Let z be (-125)/(-105)*16/(-10). Let y = z - -851/105. Find the common denominator of y and 37. 5 Suppose 4*p - 3 = 21. Let h(x) = -x**3 - 5*x**2 + x + 7. What is the smallest common multiple of h(-5) and p? 6 Let p be -2 + 1 + -1 + -17. Let x = p + 35. Calculate the smallest common multiple of 20 and x. 80 Let h = 40/53 - -793/424. What is the common denominator of -45/16 and h? 16 Let g(m) be the third derivative of m**5/15 + m**4/6 - m**3/3 + m**2. Calculate the smallest common multiple of 30 and g(2). 330 Let s = -10453/8 - -1303. Calculate the common denominator of -31/20 and s. 40 Let q(f) = f - 2. Let x be q(-3). Let u = -24 + 34. What is the common denominator of -131/6 and (1/x)/((-12)/u)? 6 Let x(a) = -57*a**3 + a**2 - 3*a - 1. Let i = 6 + -8. Let k be x(i). Calculate the common denominator of (-2)/(-5)*k/12 and 65/16. 16 Let y = 2 - -7. Suppose -z + y = -4*z. Calculate the smallest common multiple of -3*(z + 15/(-9)) and 20. 140 Find the common denominator of 3/(-2) - 451/(-66) and -91/15. 15 Suppose -3*f + 6*g - 7 = g, -2*f + 4*g - 4 = 0. Suppose 0*l + 3*l + 4*t = 38, 3*t = 2*l - 14. Calculate the lowest common multiple of l and 3 - -4*2/f. 10 Find the common denominator of -2 - (0 - 130/8) and 69/8. 8 Let r be -2 - (3 - (-2455553)/(-182)). Let v = -13487 + r. Let h = 460/819 + v. Find the common denominator of -107/6 and h. 18 Let k = 1 - -3. Let s be (-208)/(-12) - k/(-6).
{ "pile_set_name": "DM Mathematics" }
tract 26.257945 from -0.4. -26.657945 Work out -905776 + -0.28. -905776.28 What is the distance between 0.3 and 1811.8764? 1811.5764 2436483+-99 2436384 What is the distance between 0 and 93163828? 93163828 Put together 557082791 and -7. 557082784 Total of 172033 and -38422. 133611 Add together 796.6 and -9168. -8371.4 Subtract 204923 from -0.29521. -204923.29521 What is -27172501 plus 0.01? -27172500.99 -3055.6728 - -13.9 -3041.7728 Calculate -35.602577 + 0.5. -35.102577 Work out 1.80459 + 506. 507.80459 514973+3.339 514976.339 What is the distance between -5.7 and 1.159262796? 6.859262796 Subtract -12.43 from -47236907. -47236894.57 Calculate -5091665 + -26. -5091691 Total of 13 and -1.403274. 11.596726 Add -0.72 and 70805489. 70805488.28 Add -5353.5377 and 8.42. -5345.1177 What is 35.026 less than -0.084? -35.11 Add 0.02463 and -18619.5. -18619.47537 -134+-53222.6 -53356.6 Work out -0.093751117 + -0.03. -0.123751117 What is -839 take away 106.178? -945.178 Add 94 and 2044.3523. 2138.3523 What is -2.06 take away 82.64071? -84.70071 What is 35067.1 less than -40314? -75381.1 -0.5 - -2620560850 2620560849.5 Sum 3636698347 and -0.4. 3636698346.6 What is the difference between -244.25 and 35? 279.25 Subtract -0.4 from -0.3327751. 0.0672249 Sum -2.592 and 2188.2. 2185.608 Sum 56178 and 193.8231. 56371.8231 -2.212864 + 2596 2593.787136 Add together 0.0507 and 13.8149. 13.8656 Work out 83.474105 - 0.28. 83.194105 Sum -0.57 and -68078513. -68078513.57 What is 16.2 plus -5564.6? -5548.4 Sum 0 and 1363645290. 1363645290 What is the distance between -3377152 and -0.2? 3377151.8 Add -8.9 and -18180548. -18180556.9 What is 0.01 + 87006? 87006.01 Work out 0.50331472 + 33. 33.50331472 What is -0.100758 less than -0.074? 0.026758 154498643 - 0.5 154498642.5 What is 21789346 plus 1702? 21791048 What is -1663591 - -21? -1663570 Subtract 0.000969 from -435404. -435404.000969 7241378.5+-839 7240539.5 What is 874.7529923 less than -2? -876.7529923 Put together -148.60012 and -226. -374.60012 Work out -5.536364 + 0.1. -5.436364 What is -102 - -0.02734356? -101.97265644 Total of -0.434 and -48553. -48553.434 Total of 3 and -2.456205739. 0.543794261 Calculate 3693.7 + 6. 3699.7 Calculate -193537.1 - 5. -193542.1 What is 27.8948 take away -38785? 38812.8948 -65 - 262601 -262666 What is 0.068 take away -9613.4? 9613.468 Total of 14.1 and -3.3032977. 10.7967023 -142 - 70905086 -70905228 What is -4452 take away 262? -4714 Calculate 4400483966 + 4. 4400483970 Put together -4 and -0.253424. -4.253424 What is 0 plus -20152.60647? -20152.60647 What is -132752 - 10.13? -132762.13 What is -42.4 - 43950? -43992.4 Put together 438250 and -412. 437838 Work out -258817 - -1648. -257169 What is 0 - 257975441? -257975441 What is the distance between -123.103 and 162? 285.103 Add -2830501 and 0.27. -2830500.73 13126+57507 70633 Work out 5.99 + -38.359. -32.369 What is 320174 plus -183927? 136247 What is 5141437761 plus 3? 5141437764 What is 1.533 less than -6.93869? -8.47169 Calculate 0.9852 - 42.17. -41.1848 What is 0.5 minus 48.1356107? -47.6356107 -1971713 - -0.2299 -1971712.7701 26423608.77 + 0.1 26423608.87 -8941 + -0.3573 -8941.3573 What is the difference between -0.4216 and 1.5438785? 1.9654785 Add 0.0373323 and 0.5. 0.5373323 Put together -110348 and 290866. 180518 Subtract 221949169 from 259. -221948910 What is 107388609679 + -4? 107388609675 Total of -94 and -0.1886278. -94.1886278 Add together -67.3 and 1828511. 1828443.7 Add together 7678.51 and -0.083. 7678.427 -0.02893103 - 23.5 -23.52893103 What is the distance between 784001 and 5630? 778371 What is -396967.2 - 3? -396970.2 Calculate -0.677 + 36574. 36573.323 Work out -0.0089 - 6211.8. -6211.8089 What is 0.84 + -457724? -457723.16 Sum 18357 and -4328. 14029 Total of -447.8 and 140.1. -307.7 Sum 0.5 and -2273028827. -2273028826.5 1.447677097+-0.02 1.427677097 Work out -7609 + 117082. 109473 Work out -2855.97 - -7.94. -2848.03 What is 0.2 plus 11879673? 11879673.2 Calculate -25.8084 - 30.21. -56.0184 What is 42 take away -184480.11? 184522.11 Calculate -59.7 + -0.072717. -59.772717 What is the difference between -900230 and 31? 900261 -2930370808 + 0 -2930370808 What is -2511 plus 14.4464? -2496.5536 What is -3 - 657473157? -657473160 Total of -5905779 and -0.8. -5905779.8 What is the distance between -81 and 34.9174? 115.9174 What is 246815 + 2529.4? 249344.4 What is 2 minus 507996119? -507996117 Calculate 3.8 - 0.420458. 3.379542 0.452847794+-226 -225.547152206 Work out -649236.824 + -0.5. -649237.324 What is -835976.2 minus 27? -836003.2 What is -78334.9 - -24.082? -78310.818 Add 0.2 and -1725174129. -1725174128.8 Sum 820 and -39441528. -39440708 What is the difference between 0.1 and 32151.617888? 32151.517888 Calculate 28863233 + 0.3. 28863233.3 What is the distance between -16.11 and -12839.2? 12823.09 What is the distance between 953561 and 0.5325? 953560.4675 Put together 25855360572 and 1. 25855360573 Total of -3.0507343 and -1. -4.0507343 Add 361 and -192.71907. 168.28093 What is the difference between 2.4153 and 1.2807? 1.1346 -18637 - 3.43 -18640.43 What is -3.9 minus 17334.96? -17338.86 Work out -3746024226 - -0.2. -3746024225.8 Calculate -1032364 - -0.58791. -1032363.41209 Calculate 1.7 - -55.281257. 56.981257 Calculate 0.00369 - -9478. 9478.00369 Work out -12986.212703 + -0.2. -12986.412703 Add together 0.09 and -0.964548. -0.874548 Work out -18855438 - 20. -18855458 Subtract 0.10943004 from -2.9. -3.00943004 What is -1.2 minus 2042009122? -2042009123.2 What is 498 + -123414705? -123414207 Calculate -46 - -0.25308105. -45.74691895 What is -266741 + -30905? -297646 What is 892.22 plus 25999? 26891.22 What is 0.052 minus 140.8854? -140.8334 -0.65 + -2244625 -2244625.65 60 - 3556.6 -3496.6 What is -0.074 less than -443013? -443012.926 What is the distance between 3 and -3510.0258? 3513.0258 Calculate -15 - -0.43195127. -14.56804873 Work out -18.64 + 200.072. 181.432 Work out 7260 - -312234. 319494 Subtract -16 from 3799.8705. 3815.8705 Work out -116135 - -43. -116092 1+-4284189405 -4284189404 What is -24.689 - 6395? -6419.689 -4+8377817.2 8377813.2 What is -2340581 minus -0.0945? -2340580.9055 Add 1400 and 0.871994. 1400.871994 What is 33.1 minus -6759576? 6759609.1 What is 4 minus 1287889775? -1287889771 Add together 26812 and 6174. 32986 Put together 27885 and -20444. 7441 Add -73 and 66673970. 66673897 What is the distance between -2169 and 2.7235085? 2171.7235085 What is the difference between -54.09 and -0.023035? 54.066965 0.08649 - -252.392 252.47849 What is 10581 + -6085? 4496 380+-892913 -892533 What is -9979382.541 - -2? -9979380.541 Total of -2665964 and -1443. -2667407 What is 2 plus -21032838? -21032836 Put together 219 and 26184372. 26184591 Total of -0.1 and 6233.687. 6233.587 What is the difference between -2.096576167 and 1? 3.096576167 What is 0.06 minus 433818088? -433818087.94 Total of 3849229.345 and -6. 3849223.345 Total of -1407182113 and -0.1. -1407182113.1 What is 3 plus -13.1259251? -10.1259251 Add -0.0496 and -165757.6. -165757.6496 Work out 5144 - 14847388. -14842244 What is 5 minus -31881020? 31881025 Work out 14782190 + -19. 14782171 Total of 49 and -507690753. -507690704 What is -5016061 minus -242? -5015819 What is -45144.828 + 0.3? -45144.528 What is 0.1 - -38.17833427? 38.27833427 Sum 0.83 and -938850685. -938850684.17 Add together 1 and 572273851. 572273852 Put together -118241888 and -1.9. -118241889.9 What is -36462279 take away -0.5? -36462278.5 What is 9972085 take away -94? 9972179 What is 3 take away -0.0578056593? 3.0578056593 What is -6953 minus -42.47? -6910.53 What is -351.15 less than -46? 305.15 119816690+0.019 119816690.019 What is 19020 less than 22379? 3359 Add together 3 and 98.29347. 101.29347 Subtract -22576 from 3.3546. 22579.3546 What is 14.1507 take away 10.6? 3.5507 What is the distance between -615.218188 and 12? 627.218188 What is 1804832 less than -65671? -1870503 What is 21393261 + 17.8? 21393278.8 Calculate 758.64 + -222308. -221549.36 Subtract -27.22 from -2712.01. -2684.79 Put together 98 and 860091.37. 860189.37 Calculate -0.58755189 - 0.142. -0.72955189 Total of 2.65 and -10507. -10504.35 What is the difference between 1122412 and 24? 1
{ "pile_set_name": "DM Mathematics" }
h: 7}. Give prob of sequence fhhf. 21/286 Calculate prob of sequence glnl when four letters picked without replacement from vgglgvnggglvggggwng. 11/23256 Calculate prob of sequence ie when two letters picked without replacement from {i: 5, e: 11}. 11/48 Two letters picked without replacement from {s: 3, o: 2, u: 2, p: 2, n: 2, y: 1}. Give prob of sequence po. 1/33 Two letters picked without replacement from {a: 1, b: 1, r: 1, w: 3, h: 5}. Give prob of sequence br. 1/110 Two letters picked without replacement from addmdama. Give prob of sequence mm. 1/28 Calculate prob of sequence ggqq when four letters picked without replacement from {g: 4, q: 3}. 3/35 What is prob of sequence ldzv when four letters picked without replacement from {d: 3, l: 4, v: 9, z: 2}? 1/340 Calculate prob of sequence mumm when four letters picked without replacement from {m: 4, u: 3}. 3/35 Three letters picked without replacement from {c: 3}. Give prob of sequence ccc. 1 Four letters picked without replacement from kfkkgkkfgkkfkffkkhkg. What is prob of sequence fkhk? 55/11628 What is prob of sequence qp when two letters picked without replacement from pppqqgppmpqqgppgqp? 5/34 Calculate prob of sequence xxxx when four letters picked without replacement from {x: 7, k: 5}. 7/99 Four letters picked without replacement from {e: 3, l: 4}. Give prob of sequence llll. 1/35 What is prob of sequence gg when two letters picked without replacement from {g: 5, f: 3}? 5/14 Calculate prob of sequence kg when two letters picked without replacement from {g: 1, k: 3, v: 13}. 3/272 Three letters picked without replacement from ahhhghhhahhhhi. Give prob of sequence hha. 15/182 Calculate prob of sequence aa when two letters picked without replacement from {a: 5}. 1 Two letters picked without replacement from {k: 1, i: 2, z: 10, v: 1}. What is prob of sequence ii? 1/91 Three letters picked without replacement from yytyx. Give prob of sequence ytx. 1/20 Four letters picked without replacement from {h: 2, x: 1, b: 1, m: 1, z: 2, g: 2}. Give prob of sequence hzgz. 1/378 Two letters picked without replacement from {f: 12, s: 1}. What is prob of sequence ff? 11/13 Four letters picked without replacement from {q: 1, y: 1, r: 1, d: 1, m: 2, b: 1}. Give prob of sequence rdbm. 1/420 Three letters picked without replacement from uvnuclnclucuuvnuv. What is prob of sequence cvn? 9/1360 Two letters picked without replacement from zozozjjgobpo. What is prob of sequence op? 1/33 Three letters picked without replacement from ncqcnh. What is prob of sequence qcn? 1/30 Calculate prob of sequence vvxx when four letters picked without replacement from {v: 2, x: 4, f: 1}. 1/35 What is prob of sequence oibp when four letters picked without replacement from {p: 3, b: 4, i: 1, g: 5, o: 5, k: 2}? 1/1938 What is prob of sequence dnn when three letters picked without replacement from aawananndw? 1/120 Calculate prob of sequence dr when two letters picked without replacement from prd. 1/6 What is prob of sequence daa when three letters picked without replacement from {a: 9, u: 1, d: 1}? 4/55 What is prob of sequence lxl when three letters picked without replacement from {x: 2, l: 10, u: 2}? 15/182 What is prob of sequence bemj when four letters picked without replacement from eeeebejjemjjeabjej? 1/765 What is prob of sequence sjm when three letters picked without replacement from mmvsvj? 1/60 Four letters picked without replacement from {m: 1, v: 6, w: 5, c: 1, q: 2, b: 1}. What is prob of sequence mwqv? 1/728 Two letters picked without replacement from ttvt. Give prob of sequence tt. 1/2 What is prob of sequence htb when three letters picked without replacement from cghbtch? 1/105 Three letters picked without replacement from {j: 2, z: 6, p: 3, r: 1}. Give prob of sequence jjp. 1/220 Calculate prob of sequence jbbj when four letters picked without replacement from mbmbmjmbjbm. 1/330 What is prob of sequence onn when three letters picked without replacement from looonoooolooonooonl? 13/969 What is prob of sequence zwb when three letters picked without replacement from {z: 1, w: 1, b: 3}? 1/20 Four letters picked without replacement from {g: 2, x: 1, m: 2, l: 2, h: 1, z: 1}. What is prob of sequence xhmg? 1/756 Two letters picked without replacement from {i: 4, e: 4, t: 1, n: 1, o: 5}. What is prob of sequence ei? 8/105 Four letters picked without replacement from {g: 2, m: 2, b: 6, c: 8}. What is prob of sequence gbbb? 1/306 What is prob of sequence kkz when three letters picked without replacement from {e: 3, z: 7, n: 1, k: 2, s: 1, o: 3}? 7/2040 Three letters picked without replacement from {e: 3, r: 2, i: 1, z: 1, h: 3, y: 1}. Give prob of sequence yhr. 1/165 Two letters picked without replacement from {j: 14, l: 1}. What is prob of sequence jl? 1/15 Two letters picked without replacement from kkkkkykkkkkkykkkkk. Give prob of sequence kk. 40/51 Three letters picked without replacement from {a: 9, j: 3}. What is prob of sequence aja? 9/55 Calculate prob of sequence plv when three letters picked without replacement from fvvqpln. 1/105 Two letters picked without replacement from fffffefefffff. Give prob of sequence ee. 1/78 Four letters picked without replacement from {n: 5, v: 3, f: 4}. What is prob of sequence vnvn? 1/99 Calculate prob of sequence tf when two letters picked without replacement from {f: 5, t: 3, l: 5}. 5/52 Three letters picked without replacement from viksvkviqkfvsf. Give prob of sequence kfq. 1/364 Three letters picked without replacement from {s: 5, w: 2, v: 4, o: 2, p: 4}. Give prob of sequence pvo. 2/255 Three letters picked without replacement from {c: 1, m: 3, r: 1}. Give prob of sequence cmr. 1/20 Two letters picked without replacement from {j: 1, v: 2, r: 1, q: 1, m: 2}. What is prob of sequence jq? 1/42 What is prob of sequence sde when three letters picked without replacement from {q: 6, s: 1, d: 3, c: 3, e: 1}? 1/728 Calculate prob of sequence hhh when three letters picked without replacement from {h: 7}. 1 Three letters picked without replacement from iaddilddaiiadiad. Give prob of sequence aad. 3/140 Two letters picked without replacement from momvoooogolvojjmo. Give prob of sequence vo. 1/17 What is prob of sequence ggc when three letters picked without replacement from cccccccccgg? 1/55 Three letters picked without replacement from lqqqqllkzjpqjqkqjk. What is prob of sequence zjq? 7/1632 What is prob of sequence nz when two letters picked without replacement from nzzqqqzqzqzqq? 5/156 Calculate prob of sequence iki when three letters picked without replacement from {x: 7, i: 2, k: 11}. 11/3420 What is prob of sequence kuc when three letters picked without replacement from uuudcduhduuddkuduuud? 1/684 Two letters picked without replacement from {y: 3, r: 2, g: 1, a: 2, l: 4}. What is prob of sequence yl? 1/11 Calculate prob of sequence gf when two letters picked without replacement from {y: 3, p: 1, g: 1, f: 5, m: 1, a: 1}. 5/132 What is prob of sequence al when two letters picked without replacement from {a: 4, l: 3, w: 1}? 3/14 Calculate prob of sequence cn when two letters picked without replacement from wncxwvcv. 1/28 What is prob of sequence hv when two letters picked without replacement from {f: 1, h: 1, l: 2, v: 1, g: 1, t: 1}? 1/42 Three letters picked without replacement from mmeqeeeemelqlbeebee. Give prob of sequence qbq. 2/2907 What is prob of sequence rrur when four letters picked without replacement from urrrur? 2/15 What is prob of sequence uu when two letters picked without replacement from uuuuu? 1 Calculate prob of sequence dwww when four letters picked without replacement from {d: 14, w: 4}. 7/1530 Calculate prob of sequence cnv when three letters picked without replacement from {n: 3, v: 2, c: 1, q: 1}. 1/35 Calculate prob of sequence qttk when four letters picked without replacement from {h: 1, k: 1, q: 1, t: 5, s: 4}. 1/594 Calculate prob of sequence pdp when three letters picked without replacement from {h: 7, p: 5, d: 1}. 5/429 Two letters picked without replacement from bbzqaxgbbzabqab. What is prob of sequence aa? 1/35 What is prob of sequence kmhm when four letters picked without replacement from hmekkkekmkjhj? 1/858 Calculate prob of sequence cr when two let
{ "pile_set_name": "DM Mathematics" }
2/21? -2/21 Which is the closest to -2/7? (a) -3/7 (b) -7 (c) 0.4 (d) 5 (e) -44.446 a What is the closest to 2 in 4, -0.1, 1, -2, -7/249537? 1 Which is the nearest to -1? (a) -1/16 (b) -1/2 (c) 670191 b What is the closest to -11 in 0.74, 1, 18.4, -7/3, -2? -7/3 Which is the nearest to 92/19? (a) 2/3 (b) -2 (c) -0.06 (d) -0.6 (e) -0.1 (f) 0.4 a Which is the nearest to 1? (a) -3 (b) -30 (c) 0 (d) -4/5 (e) 613/2 (f) 0.1 f Which is the closest to -74? (a) -7312 (b) 4 (c) -5 c What is the closest to -1816854 in 4, -0.5, -4, 0? -4 What is the nearest to 2.08 in 5, 0.4, -0.04, -1.91, 2, -4? 2 Which is the nearest to 2? (a) -1/9 (b) -99/2689 (c) 2/23 (d) 0.3 (e) -13 d What is the closest to 22 in 0.5, 35, 3/8, -1, -239? 35 What is the closest to 777 in 6, 22.08, -2/5? 22.08 Which is the nearest to 21? (a) 79 (b) 222/11 (c) 5 b Which is the nearest to 0.3? (a) 6 (b) 111.21 (c) -0.2 c What is the nearest to 51 in -49, -2, -2/11? -2/11 What is the nearest to -134 in 1/5, 1/10, 1/9, 38/7? 1/10 Which is the closest to 1? (a) 0.1 (b) -1 (c) 7 (d) -55 (e) 6065 a What is the nearest to 5 in 1, -2, -5, -101, 61? 1 Which is the closest to 3? (a) 1 (b) -5 (c) -9423879 a What is the nearest to -1/3 in 1.12, -0.5, 1/4, 3, -5? -0.5 What is the nearest to 0 in -1/4, 5, 2/9, -2/4089? -2/4089 Which is the closest to 1263? (a) 3/16 (b) 0.5 (c) 14 (d) -2/15 c What is the nearest to 50/9 in 1/8, -56588, 3? 3 What is the nearest to -0.3 in -0.5, -0.0301, -5, -2/7? -2/7 Which is the nearest to -0.004229? (a) -0.4 (b) 7 (c) 1 (d) 11.8 a What is the nearest to 14.31 in 11.7, 0, -2/9? 11.7 Which is the closest to 7? (a) 0.3 (b) -0.3 (c) -0.77 (d) 198 (e) -5 a Which is the nearest to -1? (a) 119729 (b) 2 (c) 149 b Which is the closest to -6/5? (a) -1/31 (b) 67 (c) 0.4 (d) -3 a What is the nearest to 491 in 0.3, -3/2, -6, 2/13, -2864/3? 0.3 What is the closest to 22918 in 15, 230, 3? 230 Which is the nearest to -5? (a) -30314 (b) -0.5 (c) -0.4 (d) 5 b Which is the nearest to -0.029? (a) 18/245 (b) -5 (c) -2 (d) -4/9 a Which is the nearest to 431? (a) -6 (b) -0.42 (c) 88 (d) -5 c What is the closest to 9 in 91, -3/2, -3/4, 2, 4? 4 What is the closest to 2 in -3, 29/4, 463? -3 What is the nearest to -0.85 in -374, 4/5, -3, 32? 4/5 Which is the nearest to 2/3? (a) -158/213 (b) 1/3 (c) -2/11 (d) -0.1 (e) 2/943 b Which is the nearest to -1/4? (a) 987 (b) -0.26 (c) -0.35 (d) 0.2 (e) -0.2 b What is the nearest to 3/7 in -27893, 2, -1, -51? -1 What is the closest to 5.2 in -5, -43152, 2, 7, 0? 7 What is the nearest to -4385 in 0.1, 95, 0.01? 0.01 What is the nearest to 462452 in 2, 0.5, 0.1, 1, 7? 7 Which is the closest to 71881? (a) 2 (b) 3 (c) 29 c What is the closest to 0.1 in -3, 690, 100, -2/7, 67? -2/7 What is the nearest to 20 in -1/2, 0.2, -34/11, -16, -5? 0.2 What is the nearest to 0 in -5, -4/11, -1.6, 1/23? 1/23 What is the nearest to -2/5 in -2/115, 3, -6, 1008? -2/115 Which is the closest to -4/9? (a) -0.3 (b) 1.3 (c) 252.2 a Which is the nearest to 3? (a) 76582/19 (b) -0.1 (c) -5 b What is the closest to 0.1 in -1/216, -0.4, -122, 6.4? -1/216 Which is the nearest to -0.1? (a) 187523 (b) 4 (c) 0 (d) -0.1 d Which is the nearest to 14/7355? (a) -60/7 (b) -2/9 (c) -3 (d) 1 b What is the closest to -3/2 in 0.44, 0.4, -0.83, -4/13? -0.83 Which is the closest to -48? (a) -1/4 (b) -1 (c) 2/13 (d) -41.6 d What is the nearest to 110 in 3, 2/11, 3483? 3 What is the nearest to 2 in 5, -0.86, -9/20, 1, -12, -0.02? 1 Which is the closest to 215832? (a) -4 (b) -0.09 (c) 4 (d) -1/6 (e) 0.4 c Which is the closest to 0.2? (a) -4 (b) 81/5 (c) 11 (d) 0.3 (e) -99 d Which is the nearest to 16? (a) 2 (b) 0.04 (c) -3/5 (d) 0.07 (e) -0.5 a What is the closest to 2/5 in 1/47, -329, -1, 2, -1/10, 4? 1/47 Which is the nearest to -1? (a) 397 (b) 163/3 (c) -1/8 (d) 2/13 (e) 0 (f) -3 c Which is the nearest to -0.2? (a) 42 (b) -3 (c) 4/5 (d) -1.84 c Which is the closest to 27229? (a) -12 (b) 5 (c) 0.4 (d) 0.2 (e) 0.5 b Which is the closest to -57/2? (a) 0 (b) 5 (c) 1 (d) -7.1 (e) -5 d What is the nearest to 7/11 in 0.01, 4, 120? 0.01 Which is the closest to 2/29? (a) -241 (b) 4 (c) 0 (d) 1/3 c Which is the closest to 0.118? (a) 287 (b) 578 (c) 0.2 c What is the closest to -5 in 4/7, -8.91, -2/5, 36? -8.91 What is the closest to 1/2 in 1/6, -3.36, 926? 1/6 Which is the nearest to -76? (a) -347 (b) 5 (c) 1/6 (d) -1 d What is the nearest to -7/5 in 3617, -1/4, -10, -1.3? -1.3 What is the closest to -0.2 in 2, -246, -676, 9, 1? 1 What is the nearest to 30 in -7761, 5, -1/5? 5 Which is the nearest to 4? (a) -0.3 (b) -1 (c) -0.4 (d) 1.605 (e) 0 d What is the nearest to -6 in -13, 8, -0.85, 0.1, -12? -0.85 Which is the closest to -6/59? (a) -0.2 (b) -0.53 (c) 6 (d) 5 (e) 2/7 (f) 1 a Which is the closest to -0.1? (a) 49 (b) 0.2 (c) -174 (d) -2/7 (e) 7 d Which is the closest to -331? (a) -5 (b) -2/9 (c) -1080 a Which is the nearest to -17? (a) -3 (b) 1/3 (c) -0.24 (d) 4 (e) -12340 a What is the closest to 1/2 in 4/40823, -2, 2/9? 2/9 What is the nearest to -11787 in -12, -4, 1.3? -12 Which is the nearest to -2? (a) 1/4294 (b) 4 (c) 6/161 a What is the closest to -4/19 in -3/2, -4, 0.4, 8/273, 5? 8/273 What is the nearest to -186.1 in -4, 0.5, 0, 21? -4 What is the closest to 11 in 32, 5, 5/1206, -4? 5 Which is the nearest to -0.4? (a) 3/5 (b) -18 (c) -6135 (d) -4 a What is the nearest to 2/7 in 4, 246, 153? 4 What is the nearest to 1 in -0.4, -3, -0.2, -1/3, -2.2734? -0.2 Which is the nearest to 0.2? (a) -3/2 (b) 222 (c) -0.4 (d) -27.53 c Which is the closest to -4/581? (a) -2/63 (b) -4 (c) -1 (d) -2/3 a What is the closest to -1 in 21, -1/2, -167, -13, -0.05? -1/2 Which is the closest to 4? (a) -304 (b) 0.243 (c) 0.4 (d) -5 c What is the nearest to 0.01042 in 3, -2/7, 4, 0, -0.1, 1/2? 0 What is the closest to -7385 in -17, 0.068, 4? -17 Which is the closest to 3? (a) -0.02 (b) -17 (c) 19 (d) -5 (e) -0.4 a What is the closest to 5 in -0.077, 1, 17, 0.1? 1 What is the nearest to 127 in 0.14, -4/73, 6? 6 Which is the closest to -1/18? (a) 4 (b) -0.2 (c) 44 (d) -219 b Which is the nearest to -13108? (a) 3 (b) 8 (c) -5 (d) 3/8 (e) 0.8 c What is the nearest to 2 in 0.4662, -2/3, 0.5, -11, 10? 0.5 Which is the nearest to 1.5? (a) -5 (b) -177/7 (c) -2/5 (d) 19/2 c Which is the closest to 2/7? (a) 9 (b) -0.3 (c) 3970761 (d) -3 b What is the closest to -1 in 52.797, 5, -0.5, 4/3, 2? -0.5 Which is the nearest to 1.7? (a) -23 (b) 2/17 (c) 1/4 (d) 3 (e) -0.1 d What is the closest to 3 in 4296, 6, -1, 0.03? 0.03 Which is the closest to -0.5? (a) -5 (b) 45 (c) 0.2 (d) 176 (e) 39 c Which is the closest to -1/4? (a) 0.036 (b) -2/5 (c) -2/9 (d) 0.0145 (e) 4/3 c What is the closest to 1 in -4, -1112, -9/2, 1/3, 96? 1/3 What is the closest to -13 in 5, 16, 0.0682, -2/13? -2/13 Which is the nearest to -2? (a) -1 (b) 0.0439 (c) 1.59 (d) 9/4 (e) -2/3 (f) 0.4 a Which is the nearest to -1? (a) 2 (b) -2/7 (c) -26684 (d) -0.1 (e) -0.4 e What is the nearest to -1 in 1.8, 2/5, -2461249? 2/5 What is the closest to 0.2 in 0.865, -3, 0.2, -1/11? 0.2 What is the closest to 0 in -0.05, -340, 23, -2, 2/11? -0.05 What is the nearest to 0 in 0.2, -0.3, -147/8, 4/227? 4/227 What is the nearest to 1/2 in 8, 9.79, 4, -1? -1 Which is the nearest to -0.1? (a) -105 (b) -1 (c) 196 (d) -25 b Which is the nearest to -8? (a) 2 (b) 6 (c) -26 (d) -4249 (e) -3 e Which is the closest to 0? (a) -6.163 (b) -1 (c) -0.8 c Which is the closest to 2? (a) 12578 (b) -2/19 (c) -6 b What is the nearest to -104 in 41, 2, 223? 2 What is the nearest to -16 in -9/4, 0.1, 2/15, -2, -1? -9/4 Which is the closest to 1/6? (a) -2 (b) -21/8641 (c) -3/7 (d) 2 (e) -0.3 b What is the closest to -2 in -9/350, 54, -0.1, -7? -0.1 Which is the nearest to -4? (a) -0.2 (b) 1/4 (c) 1087 (d) 11 a Which is the nearest to 2? (a) -18 (b) -4 (c) -2/23 (d) -5/24 (e) -2/5 c Which is the closest to -675/16? (a) 0.4 (b) 5 (c) -7 c Which is the closest to -19? (a) 0 (b) 0.1 (c) 4 (d) -4 (e) -156/49 d Which is the nearest
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 228209 is divided by 222. 215 What is the remainder when 5479 is divided by 1422? 1213 What is the remainder when 421075 is divided by 97? 95 Calculate the remainder when 192417 is divided by 215. 207 Calculate the remainder when 181153 is divided by 654. 649 Calculate the remainder when 5219 is divided by 27. 8 What is the remainder when 488505 is divided by 120? 105 What is the remainder when 28046 is divided by 5605? 21 What is the remainder when 149590 is divided by 36? 10 What is the remainder when 18964 is divided by 6320? 4 What is the remainder when 1295 is divided by 404? 83 Calculate the remainder when 3251 is divided by 15. 11 What is the remainder when 2898 is divided by 865? 303 Calculate the remainder when 6110039 is divided by 23. 20 What is the remainder when 5452 is divided by 34? 12 Calculate the remainder when 16439 is divided by 25. 14 Calculate the remainder when 8012 is divided by 445. 2 Calculate the remainder when 8024 is divided by 2670. 14 What is the remainder when 48673 is divided by 572? 53 Calculate the remainder when 497 is divided by 81. 11 Calculate the remainder when 527 is divided by 88. 87 What is the remainder when 227534 is divided by 113764? 6 What is the remainder when 16735 is divided by 5577? 4 Calculate the remainder when 35245 is divided by 608. 589 What is the remainder when 49504 is divided by 765? 544 Calculate the remainder when 4602778 is divided by 910. 908 Calculate the remainder when 810 is divided by 267. 9 Calculate the remainder when 162444 is divided by 54090. 174 What is the remainder when 69414 is divided by 1310? 1294 Calculate the remainder when 399788 is divided by 24. 20 Calculate the remainder when 6917 is divided by 99. 86 What is the remainder when 4412 is divided by 1013? 360 Calculate the remainder when 42607 is divided by 617. 34 What is the remainder when 2276 is divided by 1135? 6 Calculate the remainder when 18800 is divided by 71. 56 Calculate the remainder when 9492 is divided by 949. 2 What is the remainder when 114484 is divided by 796? 656 Calculate the remainder when 43229 is divided by 7202. 17 What is the remainder when 17548 is divided by 293? 261 What is the remainder when 1712 is divided by 845? 22 What is the remainder when 1888588 is divided by 177? 175 Calculate the remainder when 2483 is divided by 224. 19 Calculate the remainder when 108979 is divided by 275. 79 What is the remainder when 134627 is divided by 118? 107 Calculate the remainder when 1398 is divided by 461. 15 What is the remainder when 2073 is divided by 1964? 109 Calculate the remainder when 1188127 is divided by 17. 14 What is the remainder when 59244 is divided by 16? 12 Calculate the remainder when 244318 is divided by 41. 40 What is the remainder when 659 is divided by 439? 220 What is the remainder when 81292 is divided by 1450? 92 What is the remainder when 18348 is divided by 118? 58 What is the remainder when 3101999 is divided by 440? 439 Calculate the remainder when 384 is divided by 304. 80 What is the remainder when 133143 is divided by 11? 10 Calculate the remainder when 111969 is divided by 31. 28 Calculate the remainder when 17099 is divided by 731. 286 What is the remainder when 1046 is divided by 1023? 23 Calculate the remainder when 54756 is divided by 13681. 32 What is the remainder when 3810 is divided by 289? 53 What is the remainder when 1199 is divided by 1190? 9 Calculate the remainder when 5374 is divided by 1002. 364 Calculate the remainder when 4315 is divided by 231. 157 Calculate the remainder when 35939 is divided by 66. 35 Calculate the remainder when 131757 is divided by 32885. 217 Calculate the remainder when 59819 is divided by 76. 7 What is the remainder when 215611 is divided by 1356? 7 What is the remainder when 186764 is divided by 36? 32 What is the remainder when 10162 is divided by 443? 416 Calculate the remainder when 3124 is divided by 444. 16 What is the remainder when 6514 is divided by 103? 25 What is the remainder when 40149 is divided by 64? 21 What is the remainder when 23289 is divided by 1194? 603 What is the remainder when 19543 is divided by 78? 43 Calculate the remainder when 34303 is divided by 762. 13 Calculate the remainder when 590 is divided by 50. 40 Calculate the remainder when 1562 is divided by 512. 26 What is the remainder when 673027 is divided by 629? 626 What is the remainder when 2336176 is divided by 154? 150 Calculate the remainder when 586186 is divided by 19. 17 Calculate the remainder when 82238 is divided by 18. 14 Calculate the remainder when 10344 is divided by 20. 4 What is the remainder when 149561 is divided by 76? 69 What is the remainder when 131542 is divided by 162? 160 What is the remainder when 13027 is divided by 165? 157 Calculate the remainder when 639 is divided by 252. 135 What is the remainder when 51550 is divided by 32? 30 What is the remainder when 33930 is divided by 606? 600 Calculate the remainder when 12498 is divided by 12481. 17 What is the remainder when 27818 is divided by 13905? 8 Calculate the remainder when 996 is divided by 327. 15 Calculate the remainder when 119612 is divided by 17. 0 Calculate the remainder when 177348 is divided by 23. 18 Calculate the remainder when 182 is divided by 100. 82 Calculate the remainder when 7072 is divided by 705. 22 What is the remainder when 1522 is divided by 547? 428 What is the remainder when 4114 is divided by 5? 4 What is the remainder when 23625 is divided by 266? 217 What is the remainder when 236488 is divided by 739? 8 Calculate the remainder when 778019 is divided by 14. 11 What is the remainder when 72302 is divided by 206? 202 Calculate the remainder when 1701 is divided by 94. 9 What is the remainder when 8982 is divided by 25? 7 What is the remainder when 564 is divided by 502? 62 Calculate the remainder when 21064 is divided by 297. 274 Calculate the remainder when 36623 is divided by 916. 899 What is the remainder when 138328 is divided by 324? 304 Calculate the remainder when 378865 is divided by 189425. 15 Calculate the remainder when 1912 is divided by 1201. 711 What is the remainder when 5981418 is divided by 370? 368 Calculate the remainder when 5776 is divided by 1352. 368 Calculate the remainder when 9341 is divided by 111. 17 What is the remainder when 1310732 is divided by 12? 8 Calculate the remainder when 1824 is divided by 91. 4 What is the remainder when 131008 is divided by 213? 13 What is the remainder when 23922 is divided by 5964? 66 Calculate the remainder when 52444 is divided by 18. 10 What is the remainder when 44582 is divided by 53? 9 What is the remainder when 94156 is divided by 6? 4 What is the remainder when 35227 is divided by 766? 757 Calculate the remainder when 54838 is divided by 6847. 62 Calculate the remainder when 12743 is divided by 439. 12 Calculate the remainder when 159058 is divided by 723. 721 Calculate the remainder when 65717 is divided by 19. 15 What is the remainder when 2084 is divided by 192? 164 Calculate the remainder when 2344 is divided by 291. 16 Calculate the remainder when 8793 is divided by 191. 7 Calculate the remainder when 2424704 is divided by 78. 74 Calculate the remainder when 4345 is divided by 196. 33 What is the remainder when 177446 is divided by 558? 2 Calculate the remainder when 35906 is divided by 35. 31 Calculate the remainder when 4812 is divided by 208. 28 What is the remainder when 50519 is divided by 15? 14 What is the remainder when 9037 is divided by 23? 21 What is the remainder when 29233 is divided by 78? 61 Calculate the remainder when 4171 is divided by 518. 27 Calculate the remainder when 269460 is divided by 124. 8 What is the remainder when 248 is divided by 66? 50 What is the remainder when 16539 is divided by 534? 519 What is the remainder when 8552 is divided by 10? 2 Calculate the remainder when 83947 is divided by 27969. 40 Calculate the remainder when 1568 is divided by 1434. 134 Calculate the remainder when 14286 is divided by 264. 30 Calculate the remainder when 4145 is divided by 80. 65 What is the remainder when 7684 is divided by 12? 4 Calculate the remainder when 8821 is divided by 196. 1 What is the remainder
{ "pile_set_name": "DM Mathematics" }
culate w. -10 Let q(t) be the first derivative of -t**6/24 + t**5/5 + 11*t**4/8 - t**3/3 - 21*t**2/8 - 7773. Suppose q(s) = 0. Calculate s. -3, -1, 0, 1, 7 Let g be (15/(-10))/(-1*(-1)/(-2)). Let t(d) = -d**2 + 14*d - 31. Let j be t(g). Factor 6/7*v**j + 6/7*v**3 + 2/7*v + 0 + 2/7*v**4. 2*v*(v + 1)**3/7 Suppose -7417 = 4*g - 71417. Factor -2642*m**3 + 124*m**4 + 10867*m**2 + g + 8968*m**2 + 1085*m**2 - 34400*m - 2*m**5. -2*(m - 20)**3*(m - 1)**2 Let o = -157 + 178. Factor 39*f**2 + 6*f**4 - 55*f**3 - 11*f**4 + o*f**2. -5*f**2*(f - 1)*(f + 12) Let d(s) be the third derivative of -s**6/300 - 11*s**5/75 + 211*s**4/60 + 232*s**3/15 + 1508*s**2 - 3. Find p such that d(p) = 0. -29, -1, 8 Let f(d) = -69395*d + 416372. Let c be f(6). Suppose 5*y = b + 10, -6*b + b + 4*y - 8 = 0. Factor 4/5*w + 2/5*w**c + b. 2*w*(w + 2)/5 Suppose -92*b - 3*c - 15 = -88*b, 2*b - c - 15 = 0. What is p in 5/7*p**b + 16/7*p**2 + 2/7 + 13/7*p = 0? -2, -1, -1/5 Factor -12 + 3 - 267*s - 46652*s**2 + 46742*s**2. 3*(s - 3)*(30*s + 1) Let j = 113/5 - 22. Suppose 2*v + 2 = 3*g - 11*g, -5*v + 13 = 2*g. Factor 0*q**v + 6/5*q**4 - j*q**5 + 0 - 6/5*q**2 + 3/5*q. -3*q*(q - 1)**3*(q + 1)/5 Let j = 485263/3 - 161750. Factor -10 - 1/3*d**2 + j*d. -(d - 10)*(d - 3)/3 Suppose 174*s - 443 = 10 + 69. Factor 0 - 5/4*p**2 - 1/4*p**s + 0*p. -p**2*(p + 5)/4 Solve 56/15*p**3 - 88/5*p + 44/15*p**2 + 2/15*p**4 + 54/5 = 0 for p. -27, -3, 1 Let k = -120942 + 120962. Factor -23/2*f - k*f**2 - 3/2 + 8*f**3. (f - 3)*(4*f + 1)**2/2 Let c(k) be the second derivative of -7*k**5/60 - 163*k**4/18 - 400*k**3/9 - 176*k**2/3 - 117*k + 6. Solve c(y) = 0 for y. -44, -2, -4/7 Let l = 33083/148590 + -7/16510. Suppose -14/9*r**2 + 0*r + l*r**3 + 0 = 0. Calculate r. 0, 7 Let h be (-297)/324 + (-7)/84*-15. Let n(u) be the third derivative of 1/30*u**5 - h*u**3 + 12*u**2 - 1/420*u**6 + 1/84*u**4 + 0 + 0*u. Factor n(w). -2*(w - 7)*(w - 1)*(w + 1)/7 Let j(k) = k**2 + 14*k + 46. Let c be j(-11). Factor 3*f**4 + 1002*f**2 - 97*f**3 - 227*f**3 + 678*f**2 - 400*f + c*f**4. 4*f*(f - 10)**2*(4*f - 1) Let t be (-400)/4950*(-20 - 4). Let s(n) be the third derivative of -1/60*n**6 + 0*n + 44*n**2 + 0 - 6/55*n**5 + t*n**3 - 1/1155*n**7 - 4/33*n**4. Factor s(p). -2*(p - 1)*(p + 4)**3/11 Suppose -50*w + 52*w**3 - 48 + 3 - 3 - 5*w**4 + 200*w**2 - 2*w**3 - 147 = 0. Calculate w. -3, -1, 1, 13 Let h be (-2)/1 + (2 - (-1 + -2)). Suppose -112 = -h*x - x. Factor 9*q**2 + 13 - 10*q - 4*q**2 - x. 5*(q - 3)*(q + 1) Suppose -18*p + 19*p = 222. Let t = 224 + -116. Find l, given that -5*l + 109*l**2 + t*l**2 + 10 - p*l**2 = 0. -2, 1 Let z(l) = 2*l**3 + 3*l**2 - 7*l + 3. Let u be z(-4). Let t = -47 - u. Determine n so that -10 - 6*n**4 - 2*n**2 - 8 - 2*n**t - 60*n - 4*n**2 + 28*n**3 = 0. -1, -1/3, 3 Solve 15/7*k - 12/7*k**2 - 3/7 = 0. 1/4, 1 Let l(o) be the first derivative of -5/6*o**6 + 5/2*o**4 + 5*o - 10/3*o**3 - 107 + o**5 - 5/2*o**2. Suppose l(c) = 0. Calculate c. -1, 1 Let y(f) be the third derivative of -f**7/315 - 667*f**6/1260 - 8467*f**5/315 - 12305*f**4/63 - 4232*f**3/21 + 1146*f**2. Find d such that y(d) = 0. -46, -3, -2/7 Let u = 776 - 740. Suppose 0 = -747*p + 756*p - u. Solve -1/3*z - 1/6*z**5 - 1/6*z**p + 0 + 1/6*z**2 + 1/2*z**3 = 0. -2, -1, 0, 1 Let y(m) = m**3 + 21*m**2 + 23*m + 64. Let i be y(-20). Factor -18*r + 26*r + 19*r**2 - 31*r**2 + i*r**4. 4*r*(r - 1)**2*(r + 2) Let u(p) be the second derivative of -1 - 3*p**3 + 60*p - 1/6*p**4 + 10*p**2. Factor u(r). -2*(r - 1)*(r + 10) Let b(f) be the first derivative of -14*f - 29 + 1/60*f**4 - 1/5*f**2 + 1/30*f**3. Let z(y) be the first derivative of b(y). Factor z(g). (g - 1)*(g + 2)/5 Factor -3 - 1/5*j**2 + 8/5*j. -(j - 5)*(j - 3)/5 Let v(s) be the second derivative of 2*s**6/135 - 197*s**5/90 + 49*s**4/18 - s**3 + 5*s**2 + 190*s. Let u(f) be the second derivative of v(f). Factor u(y). 4*(y - 49)*(4*y - 1)/3 Let n(k) = 19*k - 196. Let q be n(-6). Let y = q + 310. Factor 1/3 - 1/3*a**2 + y*a. -(a - 1)*(a + 1)/3 Let y be 1 + 0 + (-4 - 66/(-11))/6. Factor 0 + 0*j + 28/3*j**4 + 20/3*j**2 + y*j**5 + 44/3*j**3. 4*j**2*(j + 1)**2*(j + 5)/3 Let b be (10*54/(-1170))/(4*5/(-40)). Factor b*o - 2/13*o**2 + 0 - 2/13*o**3. -2*o*(o - 2)*(o + 3)/13 Let w be 7/(28/8) + 20. Suppose 0*t = -t + w. Find l, given that 18*l**5 - 2*l**3 - 6*l**4 - 17*l - 7*l + 8 + t*l**2 - 16*l**5 = 0. -2, 1, 2 Let m(j) = -7*j**3 - j**2 + 31*j + 40. Suppose -3*a - 327 + 342 = 0. Let r(c) = -4*c**3 + 16*c + 21. Let h(w) = a*r(w) - 3*m(w). Find v such that h(v) = 0. -5, -1, 3 What is s in 51/7*s**3 + 0*s - 9/7*s**4 - 30/7*s**2 + 0 = 0? 0, 2/3, 5 Let p(q) = 2*q**2 - 22*q - 64. Let x be p(14). Suppose -4*w - 4 = 4*g, -8 = 4*g + x*w - 15*w. What is c in 9/4 + 3/4*c**2 - 3/4*c**g + 15/4*c = 0? -1, 3 What is p in -613134*p**3 - 15842424906*p + 2911512374 + 147168*p**3 - 148884750*p**2 + 616383942 - 475*p**4 - 11*p**4 = 0? -959/3, 2/9 Let g(v) be the first derivative of -v**3/6 + 13*v**2/2 + 28*v - 370. Factor g(x). -(x - 28)*(x + 2)/2 Suppose 1/10*z**3 + 193/10*z**2 + 4704/5*z + 4608/5 = 0. Calculate z. -96, -1 Let c be 38/8 + (-115939)/(-7532) + -20. Factor c*s**5 - 11/7*s**4 - 39/7*s**3 + 0 - 2*s - 41/7*s**2. s*(s - 14)*(s + 1)**3/7 Let s be 6 + 1 + -2 + 27. Determine p so that -2*p**3 - 3*p**5 - 2*p**5 + 33*p**4 + 6*p**5 + 0*p**5 - s*p**4 = 0. -2, 0, 1 Let a(b) be the first derivative of 35/2*b**2 + 60*b + 19 + 5/3*b**3. Determine d, given that a(d) = 0. -4, -3 Let k(t) = 13*t**3 + t**2. Let f be k(1). Factor -1457*h**2 + f + 1455*h**2 + 16*h + 4. -2*(h - 9)*(h + 1) Let d be 2 - ((-7)/5 + 1). Let j = -13166 - -65842/5. Factor d*m + 3/5*m**2 + j. 3*(m + 2)**2/5 Let w = 188 + -186. Factor w + 2 - 25*d - 14*d + 100*d**2 - d. 4*(5*d - 1)**2 Let h be ((-6)/(-11))/((-20)/(-330)) + -9. Factor -2/11*m**5 + 0*m**2 + 0*m - 6/11*m**3 + h - 8/11*m**4. -2*m**3*(m + 1)*(m + 3)/11 Let a(u) = -2*u**4 - 14*u**3 + 21*u**2 + 39*u. Let v(o) = -o**4 - 13*o**3 + 22*o**2 + 38*o. Let r(p) = 10*a(p) - 15*v(p). Factor r(y). -5*y*(y - 6)**2*(y + 1) Let l be (-1 - -7) + 3304/(-8). Let b = -403 - l. Factor 6/5*c**2 - 3*c**b + 0*c - 9/5*c**3 + 0. -3*c**2*(c + 1)*(5*c - 2)/5 Suppose 0 = -508*v + 509*v - 9. Suppose -w + 4*k - v*k = -12, 5*k - 16 = -3*w. Factor 0*q**w - 3/4*q + 1/2 + 1/4*q**3. (q - 1)**2*(q + 2)/4 Let y(n) = n + 17. Let z be y(-17). Let k be 32/(-48) - 1/((-27)/30). Find d, given that 2/9*d**4 - 4/9*d + k*d**3 - 2/9 + z*d**2 = 0. -1, 1 Factor 0*a + 2/5*a**4 - 74/5*a**3 - 76/5*a**2 + 0. 2*a**2*(a - 38)*(a + 1)/5 Suppose -94*j + 252 = 246*j - 428. Solve -6/5*z - 2/5*z**j - 4/5 = 0 for z. -2, -1 Solve 12/5*l - 144/5 - 1/5*l**3 + 8/5*l**2 = 0 for l. -4, 6 Let l(q) be the second derivative of 0*q**4 + 0*q**2 + 1/6*q**3 + 0 - 17*q - 1/20*q**5. Suppose l(f) = 0. Calculate f. -1, 0, 1 Solve 992/7*n + 768/7 + 136/7*n**2 - 92/7*n**3 - 4/7*n**4 = 0. -24, -2, -1, 4 Let p = 48276/21133 + 4/3019. Determine r so that -p*r - 2/7*r**2 - 8/7 + 2/7*r**4 + 10/7*r**3 - 2/7*r**5 = 0. -1, 2 Let p(r) be the third derivative of 0 + 2/105*r**7 + 0*r**4 + 0*r**3 + 2*r**2 - 19/120*r**6 - 1/12*r**5 - 8*r. Factor p(o). o**2*(o - 5)*(4*o + 1) Let w be ((-21)/((-231)/(-44)))/(18/(-15)). Let j(x) be the first derivative of 11 - x**5 - 15/4*x**4 - w*x**3 + 0*x + 0*x**2. Suppose j(p) = 0. What is p? -2, -1, 0 Let x(q) be the second derivative of -q**4/42 + 32*q**3/21 - 31*q**2/7 - 2*q + 736. Let x(b) = 0. Calculate b. 1, 31 Let r(n) = 2*n**2 + 10*n + 12. Suppose 20*u + 3 = 19*u, 0 = -j - 4*u - 16. Let b(s) = 3*s**2 + 12*s + 12. Let x(g) = j*b(g) + 5*r(g). Factor x(w). -2*(w - 3)*(w + 2) Let x(j) be the first derivative of 4*j**3/3 + 2432*j**2 - 6360. Factor x(r). 4*r*(r + 1216) Solve -1046/11*s + 1048/11 - 2/11*s**2 = 0. -524, 1 Let b(c) = -3*c**2 + 15*c - 6. Let o(k) = 23 - 14 - 8. Let h(j) = b(j) - 6*o(j). Factor h(n). -3*(n - 4)*(n - 1) Let u be (4878/(-5691))/((-6)/56). Solve 20/3*b**4 + 0 - 8/3*b - 12*b**2 + u*b**3 = 0 for b. -2, -1/5, 0, 1 Let k(c) be the third derivative of -64*c**5/45 - 680*c**4/3 - 14450*c**3 + 10*c**2 + 51. Factor k(b). -4*(8*b + 255)**2/3 Let i(x) be the first derivative of -48 - 1/6*x**3 - 1/4*x**2 + 6*x. Determine a, given that i(a) = 0. -4, 3 Let g(x) = -7*x**4 - 427*x**3 - 1771*x**2 - 1797*x. Let m(y) = -4*y**4 + y**3 + 3*y**2 + y. Let z
{ "pile_set_name": "DM Mathematics" }
**2 + 652 - 2*l + 23*l**2 to the form t + w*l**2 + d*l and give w. 1 Rearrange 162*m**3 - 5 + 1 - 335*m**3 + 169*m**3 - 2*m + 7 - 55*m**2 to x*m + i + p*m**3 + c*m**2 and give p. -4 Rearrange (0*k + 0*k + 2*k**2)*(4*k - 4*k + 6*k**2) - 199025 + 199025 - 124*k**4 to n + r*k**3 + j*k**2 + m*k**4 + d*k and give m. -112 Express (-157*d - 12*d + 71*d)*(-154 + 154 - 74*d**2 + 3*d**2) in the form o*d**3 + w*d + s*d**2 + x and give o. 6958 Rearrange -3035*j + 1902*j - 1977*j - 1288*j - 1503*j to u + t*j and give t. -5901 Express 40*h**2 + 15 - 26 - 104 - 39*h**2 - 39*h as f*h**2 + d*h + j and give d. -39 Express 30*h + 7*h**2 + 0 - 4*h**2 - h**4 - 2 + 0*h**2 - 2*h + h**3 as w*h**2 + q*h + o*h**3 + d*h**4 + v and give v. -2 Rearrange 2600*d**2 - 238*d + 727*d - 242*d - 245*d to g*d**2 + o*d + f and give o. 2 Rearrange (-1 + 1 + 1 - 1 + 1 + 2 + (-3 - 7 + 11)*(-6 + 5 + 5))*(4*b + 4*b - 4*b) - 2*b - 30*b - 7*b - b to q*b + o and give q. -12 Express b**3 + b**3 + 3*b**2 + 18*b**2 + (4*b + 2*b - 7*b)*(0*b + 8*b - b)*(5*b - 50*b - 2*b) in the form d*b**3 + k*b**2 + c + h*b and give k. 21 Express (-27 - 28*c**2 + 27 + (0*c**2 + 4*c**2 - 3*c**2)*(2 - 2 + 2))*(-668 + 4*c + 0*c + 667) in the form a + l*c**3 + g*c**2 + r*c and give l. -104 Rearrange -2*r + 11*r**3 + 21 + 28 - 15 - 8 + 20 to the form u*r + g*r**3 + s + t*r**2 and give u. -2 Express (-3*l + 3*l - 6*l**3)*((1 + 0 + 1)*(3 - 2 + 1) + 1 - 5 + 3 + 190 - 68 + 83) in the form g*l**3 + t*l + y + a*l**2 and give a. 0 Express -890*r**2 + 429*r**2 - 608*r**2 in the form g*r + t + f*r**2 and give f. -1069 Express -14 - 15 - 9936*g - 2 + 31 in the form v + t*g and give t. -9936 Express -6 - b + 15*b - 6*b + 29*b + 10*b in the form j*b + t and give j. 47 Express (1 - 1 - 9*z)*(5993*z - 2*z**3 + 3*z**3 - 6256*z) in the form o*z + g*z**4 + u*z**3 + y*z**2 + b and give y. 2367 Rearrange -623 - 100*k + 4*k**2 + 627 - k**4 - 19*k to the form q*k**3 + m*k**4 + z + u*k**2 + b*k and give m. -1 Rearrange -712747*c - 2005*c**2 + 712747*c + 2*c**2 + 4*c**2 - 5*c**2 - c**2 - 1 + 1 + (-3*c + 2*c + 3*c)*(5 - c - 5) to t*c**2 + v*c + p and give t. -2007 Rearrange 747261*b + 4065*b**2 - 747261*b to the form n + r*b + g*b**2 and give g. 4065 Rearrange 18727*h + 18976*h - 37395*h to the form n*h + t and give n. 308 Rearrange (-12 + 13 + 23)*(0 + 5 - 6 + (-1 - 1 + 4)*(-19 - 8 - 36))*(-4*v**3 - 3*v**3 + 6*v**3) to the form z*v + l + i*v**3 + k*v**2 and give l. 0 Express 0*l - l**4 + 0*l + (-87234*l + 174761*l - 85587*l)*(l**3 - l**3 - 3*l**3) as j*l**4 + z*l**2 + s*l + i + u*l**3 and give j. -5821 Express (14096 - 171*n - 14096 + 17*n - 17*n - 15*n + (2 - 2*n - 2)*(-3 + 1 + 1) + 0*n + 3*n - n)*(-n + 2*n + 0*n) in the form v*n**2 + i + t*n and give v. -182 Express (-2*k - 3*k + 3*k)*(3*k**2 + k**2 + k**2) + (2 - 1 + 1)*(5 - 4 - 4)*(-7*k**3 - 6*k**3 + 6*k**3) in the form o*k**2 + g*k + n + s*k**3 and give s. 32 Rearrange (67 + 77 + 51)*(n + 2*n + 2*n)*(-n - 2 + 1 + 2*n) to c*n**2 + v + r*n and give r. -975 Express (-6*g + 5*g + 2*g)*(-g - 3*g + 2*g) - 20822*g**2 + 43315*g**2 - 14605*g**2 in the form x*g**2 + h*g + w and give x. 7886 Express 2*j**4 - j - 99*j**2 + 7*j**3 - 15 + 335*j**2 + 0*j**4 - 237*j**2 in the form w*j**3 + g + y*j + p*j**4 + n*j**2 and give y. -1 Rearrange 264 + 1348 - 870 + 2198 + c**2 to t*c**2 + v*c + f and give f. 2940 Rearrange 39*q + 3 - q**3 + q**4 + 3 - 51*q - 2 to the form o*q**4 + u*q + d*q**2 + c + z*q**3 and give c. 4 Express 10*v**4 + 3*v + 0*v - 4*v + 80*v**2 + 5*v + 152*v**2 as p*v**3 + h*v**4 + b*v + z + g*v**2 and give b. 4 Rearrange -87 - 3*n - n**3 - 37 - 68 + 0*n + 13*n**2 - 14*n**2 to the form t + g*n + o*n**3 + q*n**2 and give q. -1 Express 10*m - 2*m**2 - 18477 + 18469 + 4*m**2 + (-5*m - 3*m**2 + 5*m)*(-2 + 2 - 3) as h*m + l + s*m**2 and give s. 11 Express -4*n - 1538*n**2 + 856 - 856 in the form k*n**2 + b + f*n and give f. -4 Express 8094 + 8831 - 2*z - 4411 - 89 as d + y*z and give d. 12425 Express -2*c - 3*c**3 - 438 + 5*c**3 - 2*c**3 - 3*c**2 - 493 + c**3 as j*c + n*c**3 + m + r*c**2 and give m. -931 Express -62*z**2 + 2*z - 4*z**3 - 9*z - 65*z**2 + 276*z**2 - 6*z in the form y + o*z**3 + t*z**2 + p*z and give o. -4 Express (-12*z**2 - 2*z - 1 + 21*z**2 - 13*z**2 - 2*z**3)*(-778*z + 459*z - 2655*z) as f*z + l*z**3 + s*z**4 + g + n*z**2 and give l. 11896 Express -q + 4*q + q + (0*q + 2*q - 4*q)*(-89 + 126 + 85) as r + w*q and give w. -240 Express -5*j - 1 + 199*j**3 - 2*j**2 + 250*j**4 - 236*j**3 - 248*j**4 in the form w + z*j**4 + k*j**2 + a*j**3 + x*j and give a. -37 Express -3563*g**3 + 33555*g - 33555*g + (-2*g + 6*g - 3*g)*(-5 + g**2 + 5) + (-5*g + 5*g - g**2)*(3 - g - 3) in the form d*g + y*g**3 + x*g**2 + o and give y. -3561 Express -49*f**4 - 97*f**4 - 25545 - 3*f**4 - 2*f**2 - 25537 - f**3 + 51088 - f in the form g*f**3 + j + o*f**2 + b*f**4 + i*f and give g. -1 Express 74*q**4 - 139*q**4 + 2*q**3 + 66*q**4 - 10 - 4*q**3 in the form g*q**2 + a*q**3 + i + o*q**4 + b*q and give a. -2 Express (-2*q - 4*q + 2 + 4*q)*(147 - 581 - 271) in the form t + m*q and give t. -1410 Express -1073*g - 3*g**4 - 4*g**2 - 72 + 0*g**2 + 1073*g in the form n*g**2 + v*g**4 + y + k*g**3 + d*g and give y. -72 Express 5*b**4 - 27292*b + b**2 + 100 + 27294*b - 4*b**2 - 3*b**4 as d*b**3 + n*b + k*b**2 + g + w*b**4 and give k. -3 Rearrange 638*b - 43 + 44 - 2979*b to s + k*b and give s. 1 Rearrange (1 - 5 + 1)*(-19 - 56*n + 20 + 9) to the form c + w*n and give c. -30 Express -68 + 7871*o - 7867*o - 347 - 155 - 100 in the form r + y*o and give y. 4 Rearrange 285*s + 2202*s + 8619*s - 1 + 1 to x + p*s and give p. 11106 Express -2568*l - 6183 + 3085 + 3100 in the form d*l + y and give d. -2568 Rearrange (5 - 2 - 1)*(1 - 1 - b) - 10536*b + 1 + 13333*b - 24260*b to the form k*b + m and give k. -21465 Rearrange ((0*v - v - v)*(2 + 3 - 3)*(-5 + 2 + 5) - 2 + 2 - 2*v + 0*v - v + 3*v)*(1077 - 1077 + 144*v**2) to o*v**3 + h*v + b*v**2 + i and give o. -1152 Rearrange -16*r**2 + 63*r**2 - 81 + 0 - 25 to p*r + i*r**2 + t and give i. 47 Rearrange 452*s**2 - s**4 - s**4 - 455*s**2 + 8*s - 38 - 5*s**3 - 4*s - 6*s to the form p*s**3 + h*s**2 + x + n*s**4 + g*s and give h. -3 Express (-2*z - 3*z + 2*z)*(-3 + 2 + 0) + (-2*z - z - z)*(-6 + 0 + 5) - 181*z + 239*z + 129*z in the form u*z + k and give u. 194 Express (8*d + 43506*d**3 - 4*d - 43189*d**3)*(-4 + 4 + 2*d) as m + c*d**3 + w*d**2 + h*d + i*d**4 and give i. 634 Rearrange (523 - 2139 + 616 + 725)*(3*w**2 - 3*w**2 + 2*w**3) to the form r*w + j + q*w**2 + i*w**3 and give i. -550 Express (-i + 2*i + i)*(-6*i**2 - 3*i**2 + i**2)*(34*i - 5*i + 51*i) as u*i**3 + r*i**2 + s + b*i + w*i**4 and give w. -1280 Express -6776 + 13560 - 220*t**3 - 6782 in the form m + g*t**3 + d*t**2 + a*t and give m. 2 Express 29 - 16495*k + 16495*k - 3*k**2 as w*k**2 + r*k + d and give d. 29 Express 145*o**2 + 123*o + 155*o**2 - 304*o**2 in the form p*o + w*o**2 + n and give p. 123 Rearrange 194 - 1401*i - 68 - 126 to the form d*i + n and give d. -1401 Rearrange 95*o**3 - 1 - 6*o + 2*o**2 + 5*o - 6*o - 4765045*o**4 + 4765046*o**4 to the form y*o**4 + k*o**2 + h*o + q*o**3 + n and give n. -1 Express -5 + 7 - 621*f**2 - 2*f**3 - 332*f**2 - 75*f**2 - 173*f**2 in the form b + j*f + y*f**2 + z*f**3 and give y. -1201 Rearrange 0*a**4 + 0*a**2 - 11*a**3 + 8*a**3 - a**4 + 3 + 0*a**3 - 131*a**2 to y*a**2 + o*a**4 + z*a**3 + m*a + i and give y. -131 Rearrange -69*z**2 + 1353*z - 662*z - 689*z + 2 to g*z + r + c*z**2 and give g. 2 Rearrange (12413916*a**2 - 2808*a**3 - 12413916*a**2)*(1 - 4 + 4) to the form p*a + t*a**2 + b + f*a**3 and give f. -2808 Express -5 - 2 + 16*o + 6 + (3*o + 75 - 75)*(-1 - 2 - 2) + 4*o - 3*o + o in the form j + m*o and give m. 3 Rearrange 15 + 871*y + 15 - 10 + 10 - 21 to the form q*y + r and give q. 871 Rearrange (1 - 2 + 0)*(-5*h - 17*h + 7*h)*(-22491 - 197*h + 22491) to the form a*h + i + t*h**2 and give t. -2955 Express 30*j**2 + 38*j**2 + 4*j**2 - 17*j**2 + (-3*j - j + 2*j)*(9*j + 27*j + 14*j) - 10 + 10 - 4*j**2 in the form h*j**2 + d*j + c and give h. -49 Rearrange 43*c - 10*c + 132*c + 3 + 121*c to s + j*c and give s. 3 Express 715*g**2 + 726*g**2 - 4*g + 717*g**2 - 2168*g**2 in the form p*g + w*g**2 + j and give p. -4 Express (-2*r + r + 3*r)*(22*r - 395*r + 710*r + 2*r +
{ "pile_set_name": "DM Mathematics" }
and 2*i**2 - 3*i**2 - i**2 + 2*i**2 + i**2 - 2*i**2 + (5 + 2*i - 5)*(0*i + 5*i - 3*i) + (-4*i - i - 6*i)*(i + 1 - 1) + 7*i - 12*i + 8*i - i**2. -9*i**2 + 3*i Expand (-5*g + 4*g + 0*g)*(-179 - 247 - 413). 839*g Expand (518*y - 698 + 698)*(-4*y - 2*y + 7*y). 518*y**2 Expand (2*g**2 - 3*g**2 - g**2)*(-4*g**2 + 11*g**2 + 6*g**2). -26*g**4 Expand (42 - a**3 - 43 + 136)*(6 + 4 - 6). -4*a**3 + 540 Expand (7 + 27 + 14)*(b**3 - 3*b**4 + 42*b**2 - 44*b**2 - 2*b**3). -144*b**4 - 48*b**3 - 96*b**2 Expand (-5*n + 3*n + n)*(-19*n - 19*n + 27*n)*((-2 + 4 - 1)*(2 - 2 + 2) + (3 + 2 - 3)*(-3 + 7 - 2)). 66*n**2 Expand (-2 + 3 - 2*f - 7 - 3)*(-19*f + 7*f + 31*f). -38*f**2 - 171*f Expand (-1 - 51 + 5 - 10)*(3 + c - 3)*(-7*c - 19*c - 2*c). 1596*c**2 Expand (-5*r + 4 - 4)*(6 - 1 - 3 + (0 - 2 + 0)*(0 + 2 + 0)). 10*r Expand -x - 1 - x + 3 + (-2 - 2 + 2)*(87*x + 18*x + 79*x). -370*x + 2 Expand (-3*i + 3*i - 2*i)*(-89*i**2 + 98*i**2 - 189*i**2). 360*i**3 Expand (-3*d + 34674 + 0*d - 34879)*(-1 + 0 - 1). 6*d + 410 Expand (-c - 3*c + 9*c)*(-3*c**4 + 4*c**4 - 8*c**4) - 10*c**2 + 10*c**2 - c**5 + (-2*c + c**3 + 2*c)*(3*c**2 - 5*c**2 + 0*c**2). -38*c**5 Expand (13 + 24*w**2 - 13)*(-7 + 3*w + 7) - 5*w**3 + 4*w**3 - w**3. 70*w**3 Expand -6*g**2 + 3*g**2 + 2*g**2 + (0*g + 4*g - 2*g)*(-2*g + 2*g - g) + 22*g**2 + 0*g**2 - 7*g**2 + (-3 + 3 + g)*(-2*g + 0*g + 3*g). 13*g**2 Expand (2*m - 6*m + 3*m)*(-2 + 3 - 4)*(-4*m - 4*m + 2*m). -18*m**2 Expand (5 - 5 + 6*j)*(4 - 4 + 3) + 295 - 4*j - 295. 14*j Expand (3 + 2*v**4 - 3)*(507*v + 2229 - 2229) + (-v**2 + 2*v - 2*v)*(-2*v - 2*v**3 + 2*v). 1016*v**5 Expand (1 - c**3 - 1)*(-2*c - 11*c + c)*(0 + 1 - 3)*(-1 + 0 + 3). -48*c**4 Expand -h**2 + 3*h - 3*h + (2 - 2 - 1)*(-8 + 4*h + 8)*(-1 - 1 + 3)*((11 + 4 + 5)*(h - 3 + 3) - 3*h - 2*h + 4*h). -77*h**2 Expand (10 + 27*j - 10)*(15*j**3 - 57*j**4 - 15*j**3). -1539*j**5 Expand d**3 - 3*d**3 + 3*d**3 + 0 + 4*d**3 + 0 + (-3704*d + 14*d**2 + 3704*d)*(d + 1 - 1) - 6*d**3 + 3*d**3 + 2*d**3. 18*d**3 Expand 27*s**2 + 24*s**4 - 27*s**2 + (2 - 2 + 2)*(-5*s + 3*s - s)*(13*s**3 + 28 - 28). -54*s**4 Expand (120*h**3 - 7 + 1 - 124*h**3)*(2*h - 5 + 5). -8*h**4 - 12*h Expand (-3 + 2*o + 3)*(25877*o - 25877*o + 33*o**4). 66*o**5 Expand -13*i + 21*i - 10*i + (1 + 2*i - 1)*(4 - 2 - 3) + 4 - 2*i - 4 + (-4 + 4 - 1)*(i - 3 + 3) - 2*i - 4 + 4. -9*i Expand -19*v**3 - v + v + 14*v**3 - 20*v**3 + 5*v**3 + (v**2 + 0*v**2 - 2*v**2)*(-2*v + 4*v - 4*v). -18*v**3 Expand (4*u**3 + 3*u**3 - 8*u**3)*(u - 3*u - 84 + 72). 2*u**4 + 12*u**3 Expand (1 - 4 - 3)*(-r + 3 - 3) + 15*r - 28*r + 12*r. 5*r Expand (z + 0 + 0)*(2 - z**3 - 2) + 2*z**3 - 2*z**3 + 3*z**4 + (z**4 - 8*z**4 - 23*z**4)*(3 + 0 - 5). 62*z**4 Expand (-9 + 24 + 2)*(i**2 + 0*i**2 - 4*i**2 + 2). -51*i**2 + 34 Expand i**4 - 4*i**4 + 4*i**4 - 2*i**2 + (-4*i + 6*i - 4*i)*(-4*i - 5*i + 7*i + 2*i**3). -3*i**4 + 2*i**2 Expand -5*g**3 + g**3 + 2*g**3 - 3*g**3 - g**3 + 3*g**3 + (-2 + 3 + 1)*(-3*g + 3*g - 2*g**3) + 9*g**3 - 11*g**3 - 10*g**3 + 4*g**3 - 3*g**3 - 3*g**3. -21*g**3 Expand (2*i + 0*i - 3*i)*(-2 + 4 - 1) - 690*i + 1358*i - 595*i. 72*i Expand (0*z + 0*z + 3*z)*(-141*z - 82*z + 5*z). -654*z**2 Expand (0 - 2*k**3 + 0)*(0*k**2 + 2*k**2 + 0*k**2) + 2156*k**3 - 2*k**5 - 1072*k**3 - 17*k**4 - 1078*k**3. -6*k**5 - 17*k**4 + 6*k**3 Expand -5*m**3 + 4*m**3 + 3*m**3 + (2*m - 2*m + 2*m)*(0*m**2 - m**2 + 4*m**2) + 2*m**3 + 1 - 1 + 1 - 1 + 2*m**3 - 7*m + 7*m + 2*m**3. 14*m**3 Expand (5*o - 4*o - 2*o + (10 + 7*o - 10)*(4 - 4 - 2) - 2 + o + 2)*(-5*o - 2*o + 0*o). 98*o**2 Expand (-2 + 4 + 0)*(-a**4 - 3*a**4 + 2*a**4) - 61*a**4 - 16 + 16. -65*a**4 Expand (0*o + 2*o - o)*(o**2 + 0*o**2 + o**2) - o**3 + 0*o**3 + 7*o**3 + (-2*o**2 + 9*o**2 + 2*o**2)*(-o + o + o). 17*o**3 Expand -408*w**4 + 218*w**4 - 1149*w**5 + 190*w**4 + (-w**2 + w**2 + 2*w**3)*(-3*w + 3*w - 2*w**2) + 2*w**3 + 2*w**5 - 2*w**3. -1151*w**5 Expand (-4 + 4 + 2*l**2)*(-2*l**2 - 76 + 10*l - 6*l + 85) + l**4 - 7*l**4 - l**4. -11*l**4 + 8*l**3 + 18*l**2 Expand (18 - 6 - 13 + 31*k)*(-18*k + 18*k - 5*k**2). -155*k**3 + 5*k**2 Expand -2*n**2 + 0*n**2 + 4*n**2 + (3 + 2 - 10)*(1 + 0 + 0)*(-n**2 - n**2 + 0*n + n). 12*n**2 - 5*n Expand 2*a**4 - 2*a + 2*a + (3*a**2 - 2*a**2 - 3*a**2)*(147*a**2 - 41*a**2 - 28*a**2) + (-2*a**3 - a + a)*(3*a + 2*a - 4*a). -156*a**4 Expand (-3*x - x + 3*x)*(6 - 30 - 5)*(x**2 + 0*x**2 - 6*x**2). -145*x**3 Expand (-y**2 - 2*y**2 + 2*y**2)*(-2524*y - 135*y**3 + 2524*y). 135*y**5 Expand -54 - 59 + 21 - 2*c + (2 - 4 + 1)*(2*c - 2*c + 2*c). -4*c - 92 Expand (1 - 1 - 3)*(-39 + 39 - 6*h + (0 - 4 + 3)*(3*h - 2*h - 2*h) + 0*h + 2*h - h)*(1 + 1 - 1)*(-2*h**3 - 2*h**3 + 2*h**3). -24*h**4 Expand (-6*b**3 + 8*b**3 - 3*b**3)*(b - 4*b - 18*b). 21*b**4 Expand (-3*t**5 + 5*t**5 + t**4 + 0*t**5)*(0 - 7 - 6). -26*t**5 - 13*t**4 Expand (5 + 2 + 2 + 4*s - 5)*(18 - 9 - 27). -72*s - 72 Expand (3 + 6 + 18)*(0*g + 2*g - g)*(-g + 2*g + 23*g). 648*g**2 Expand (0*j**2 + j**2 + 2*j**2)*((5 - 2 - 5)*(28*j + 4*j - 7*j) + 2*j - 4*j + 3*j) + (j - 2*j + 2*j)*(-2*j**2 + 4*j**2 - 4*j**2). -149*j**3 Expand (-18800*b - 206*b**2 + 18800*b)*(0 + 0 - 2*b)*(-2*b + 0*b + 4*b + (-3 + 2 + 2)*(-3*b + 5*b - b) - 3*b + 0*b + b). 412*b**4 Expand (r + 2 - 2*r + 3*r)*(-2*r**3 + 2*r**3 + r**3 + 7*r**3 + r**3 - r**3 + (-r - 3*r + 2*r)*(3*r**2 + 0*r**2 - r**2) + 3 + r**3 - 3). 10*r**4 + 10*r**3 Expand -4*z + 42 - 42 + (0 + 4 - 5)*(-3 + 2 - 1)*(-z + 2*z + 0*z). -2*z Expand (-4*b**2 - 2*b**3 + 4*b**2)*(b + 2*b - 4*b) + 7*b**4 + 16*b**4 + 41*b**4 + 2*b**4 + 0*b**4 + 0*b**4 + (1 - 1 - b)*(-2*b**3 + 0*b**3 + 0*b**3). 70*b**4 Expand (-s - 2 + 2)*(-4 + 1 - 4) - s - s + 4*s + (0 + 1 - 3)*(-6*s + s + 3*s). 13*s Expand (-11*b + 7*b - 15*b)*(10*b - 10*b + 3*b**2)*(-b**2 + 2*b**2 - 2*b**2). 57*b**5 Expand (-4 + 1 + 1)*(214*o + 4114 - 888*o - 4114). 1348*o Expand 4*r**3 - 5*r**3 - 8*r**3 + (-1 - 2*r + 1)*(5*r**2 - 6*r**2 + 0*r**2) - 2*r - r**3 + 14*r**2 + 15*r**2 - 28*r**2 - 3. -8*r**3 + r**2 - 2*r - 3 Expand (-c + 3 - 3)*(c + 1 - 1) - 3*c**2 - 14*c**2 - 60 + 24*c**2 - 2. 6*c**2 - 62 Expand (-3 - 2 + 4)*(-33*t + 10*t - 3*t) - 8*t + 7*t - 2 - 5*t. 20*t - 2 Expand (n + n - 3*n)*(-9*n**3 + 9*n**3 + 3*n**3 + 3*n**2). -3*n**4 - 3*n**3 Expand (-399*j**5 - 1230*j**5 - 172 + 172)*(1 + 3 - 5)*(2 - 5 + 2). -1629*j**5 Expand (-130*x**3 - 57*x**3 - 4*x**3)*(4*x - 2*x**2 - 4*x) - 2*x**5 - 2*x**5 + 2*x**5 + (x**2 - 2 + 2)*(-x**3 + 0 + 0). 379*x**5 Expand (-7*b**2 + 7*b**3 + 573*b - 573*b)*(-2*b - b + 6*b). 21*b**4 - 21*b**3 Expand ((2 - 7 + 0)*(-2 + 3 + 0) + 324 - 99 - 101)*(-2*k**4 - 4*k**4 + 4*k**4). -238*k**4 Expand (28*i**5 - 3*i**5 + 0*i**5)*(1 + 3 - 3 + 0 + 0 - 1 + (-1 + 3 - 1)*(2 - 1 + 1) + 11 - 5 + 3). 275*i**5 Expand 4 - 4 - p + (-2*p - 2*p + 2*p)*(-3 + 3 - 2) + 16*p - 4*p + 3*p - 1 + 1 - 4*p + (3 - 3 + 2)*(-2 - p + 2) - 3 - p + 3. 11*p Expand (154 - 6*x + 157 - 315)*(-3*x - 5*x + 3*x). 30*x**2 + 20*x Expand 3346*g**2 + 11*g**4 - 1690*g**2 - 1680*g**2 - 4*g**4 + 4*g**4 + 2*g**4 + (4*g - 2*g - 4*g)*(-2*g**3 - 3*g**3 + 3*g**3) - g**4 + 5*g**4 - 2*g**4. 19*g**4 - 24*g**2 Expand 0 - 3 + 1 - j + (4 - 2 + 0)*(j - 5*j + 2*j) - 13*j + 12*j - 20*j. -26*j - 2 Expand (-45*y - 142*y + 39*y - 66*y)*(30 - 15*y**2 - 30). 3210*y**3 Expand t**2 - t + t + (t - 2*t + 3*t)*(-1 + 2*t + 1) + 3*t**2 + t**2 - 2*t**2 + (0*t - 4*t + 2*t)*(0 - 2*t + 0) - 5*t**2 + 0*t**2 + 3*t**2. 9*t**2 Expand (3*b - 1 + 1)*(2 + 2 - 1) + (b - 5*b + b)*(-4 + 3 - 2). 18*b Expand (-4*c + 5*c + 0*c)*(-1 + c**2 + 1) - 8*c**3 + 8*c**3 - 6*c**3 + 27*c. -5*c**3 + 27*c Expand (3 - 3 - 36*w**2)*(2*w**2 + 2 + 2 - 3). -72*w**4 - 36*w**2 Expand 19*w**2 - 19*w**2 - 149*w**4 - 95*w**4 - 4*w**2 + 4*w**2 + w**4 + (6*w**4 - w**4 - 3*w**4)*(1 + 1 - 3). -245*w**4 Expand 2*d**5 - 3*d + 3*d + (3*d + 2*d**4 - 3*d)*(-3*d + 2*d + 2*d) + (-d**2 + d**2 - 2*d**2)*(-10*d**3 + 65*d**3 + 13*d**3). -132*d**5 Expand (-7*g - 3*g + g)*(2 + 0 + 0)*(-2*g + g - 2*g). 54*g**2 Expand (p - 2*p - 2*p)*(-2*p**2 + 2*p**3 + 2*p**2)*(3 - 3 + 5). -30*p**4 Expand (2*c**4 + c**4 - 2*c**4)*(6 - 1 - 2) - 5*c**4 + 22*c**4 + 0*c**4. 20*c**4 Expand (-1 + w + 0*w + 0*w)*((-4 - 2*w**4 + 4)*(1 + 4 - 3) - 73*w + 73*w - 22*w**4 + (-2*w - 3 + 3)*(3*w**3 - 5*w**3 + 0*w**3)). -22*w**5 + 22*w**4 Expand (2 + 3*t - 2*t + 15*t)*(0*t - t + 0*t - 2*t + 4*t - t + (2*t - 2 + 2)*(0 + 3 - 4) +
{ "pile_set_name": "DM Mathematics" }
0 = -3*z + j + q, 0*z - 4*j - 102 = -z. What are the prime factors of z? 2, 5, 11 Suppose 3*c - l - 3876 = 1551, -3*c = 4*l - 5427. List the prime factors of c. 3, 67 Let d = -2 - -16. Let t = 52 + d. Let s = -36 + t. List the prime factors of s. 2, 3, 5 Let v(r) = -r**2 - 8*r + 18. Let x be v(-10). Let g = -1 + x. Let p(w) = -w**3 - w**2 + 3*w + 4. What are the prime factors of p(g)? 13 Let u be (-3)/(-27)*3*9. Suppose -u*f = 3*z + 3, -3*z + 15 = -5*f + 50. Suppose -5*v - f*a + 103 = 20, 3*v - 35 = 5*a. List the prime factors of v. 3, 5 Suppose -4*v + 3 = 5*w - 2, v - w = -10. List the prime factors of 46*((-13)/v + 3/(-5)). 2, 23 List the prime factors of (34/(-3))/((-6)/63). 7, 17 Suppose 5*w + 19 = c, 3*w = -2*w - 2*c - 7. What are the prime factors of 48 - (-1 - (w + 1))? 47 Let x be (3 - 4)/((-2)/1310). Suppose -3*u + x = 2*u. Let w = 193 - u. List the prime factors of w. 2, 31 Let t = -487 + 546. What are the prime factors of t? 59 Suppose -4*a - h = -48 - 6, 75 = 5*a + 5*h. Suppose 0 = -a*r + 1262 + 1104. List the prime factors of r. 2, 7, 13 Let s be (3 - 4/1)*6. List the prime factors of (90/75)/(s/(-10)). 2 Let x(w) = -7*w + 13 - 23 - 8*w**2 - w**3 + 11. Let r be x(-7). What are the prime factors of 14 - r/(1/4)? 2, 5 Suppose 4133 = -8*k + 17357. What are the prime factors of k? 3, 19, 29 Suppose s = 2, -19*n = -21*n + 5*s + 8828. What are the prime factors of n? 3, 491 Let u(g) be the third derivative of 0*g + 0 - 2/3*g**3 + 2*g**2 - 1/24*g**4. List the prime factors of u(-8). 2 Let n be 4/(-1) + (4 - (-7)/(-1)). List the prime factors of (n + 11)/(4/146). 2, 73 Let i = -9 - -19. Suppose -5*n = 15 - i. List the prime factors of ((-10)/(-1))/(n/(-4)). 2, 5 Let h = -19 - -30. Let r = -9 + h. Let v = 0 + r. What are the prime factors of v? 2 Let h(x) = x**2 - 5*x - 16. Suppose -2*n + 21 - 7 = 2*l, l - 22 = 4*n. What are the prime factors of h(l)? 2, 17 Let q = 4 - 28. Let n = -21 - q. Suppose 0 = n*i + 4*d - 153, -153 = -3*i + 3*d - 5*d. List the prime factors of i. 3, 17 Suppose i - 612 = -0*i + 2*q, 0 = q + 3. What are the prime factors of (8/(-24))/((-608)/i + 1)? 101 Let n(k) = k - 3. Let t be n(4). Let x(u) = 32*u**2. List the prime factors of x(t). 2 Let p(l) = -401*l + 7. List the prime factors of p(-1). 2, 3, 17 Let j(k) = -5 + 22 + k + 0*k + 2*k. What are the prime factors of j(10)? 47 Let b(h) be the second derivative of h**4/3 + 2*h**3/3 + h**2/2 + 11*h. Let s = -3 + 0. What are the prime factors of b(s)? 5 What are the prime factors of (-438)/18*-3 - -7? 2, 5 Let v = 594 - 299. What are the prime factors of v? 5, 59 Let k(u) = -164*u - 345. What are the prime factors of k(-20)? 5, 587 Let z be -85*(23/(-5) + 4). List the prime factors of (-3*17)/(z/(-238)). 2, 7, 17 Suppose -26 = -z - 23. Suppose 5*k - 3*s = 34, 4*s = -z*k - s. Let d(j) = 5*j - 4. What are the prime factors of d(k)? 3, 7 Let d = 336 - -343. List the prime factors of d. 7, 97 Suppose -3*y = 4*t - 714, -4*t - 8 = 4. Suppose 0 = -4*u + 16, -5*d + 2*u - y = 4*u. List the prime factors of ((-128)/80)/(4/d). 2, 5 List the prime factors of (187/(-22))/(1*(-2)/276). 3, 17, 23 Let u(d) be the second derivative of -7*d**6/720 - 7*d**5/60 + d**4/3 - 3*d. Let f(h) be the third derivative of u(h). List the prime factors of f(-7). 5, 7 Suppose -4*f = -4*v, -3*f - f - 5*v + 45 = 0. List the prime factors of f/15*(2/1 - -76). 2, 13 Suppose 4*l + 2*m + 48 = 0, 0 = l + l - 4*m + 4. Let i be (0 - 2)/(l/(-65)). Let n = i - -49. List the prime factors of n. 2, 3 What are the prime factors of (-32)/(-6)*18645/55? 2, 113 Let a be 3 - (2/(-1))/(-2). What are the prime factors of 2*6/4 - (-142)/a? 2, 37 Suppose k - 4 = -5, -3*k = 2*p - 53. Let y(w) = -w**2 - 11*w - 6. Let g be y(-10). Suppose -g*i + 76 = -p. What are the prime factors of i? 2, 13 Suppose -6*u = 31 - 31. Let z(r) = -r**2 - 2*r + 201. What are the prime factors of z(u)? 3, 67 Let s(v) = 649*v**2 - 4. What are the prime factors of s(-1)? 3, 5, 43 Let n = -9 + 19. Suppose -n*d = -9*d - 27. What are the prime factors of d? 3 Suppose 0 = z + 5, -q - 3*z - 2232 = -4*q. List the prime factors of q. 739 Let k be (-3 - -4) + -1 - (-3 - 390). Let m = k + -276. What are the prime factors of m? 3, 13 Let g(x) = 2*x**2 - 7*x + 7. Let a be g(4). Let j = a + -14. Let y = j - -30. List the prime factors of y. 3 Suppose -38*k + 224012 = 78206. List the prime factors of k. 3, 1279 Suppose -8428 + 2896 = -12*c. What are the prime factors of c? 461 Let x be 1/(4/8) - -33. Suppose -2*r + 10 = 3*r, -x = -3*m - 4*r. Let g = m + -4. What are the prime factors of g? 5 Let i = 432 - -583. What are the prime factors of i? 5, 7, 29 Let x(w) = 2*w**3 - w**2 + 4*w - 16. Let g be x(4). Let v = g + -71. List the prime factors of v. 41 Suppose -5*o - 160 = -3*o + 2*r, -3*r = -15. Let s be o/(-2)*4/(-5). Let w = 62 + s. List the prime factors of w. 2, 7 Suppose -5*n - 4*v - v + 4405 = 0, 3529 = 4*n + 3*v. List the prime factors of n. 2, 443 Suppose -3*r + 9 + 3 = 0. Let p be 3 + -2 - (17 - 4). List the prime factors of (r/(-6))/(p/1242). 3, 23 Let p be (14/(-2) + 3)*(-2)/4. Suppose 0 = -p*v + 127 - 17. List the prime factors of v. 5, 11 Let h = 34 - 1. Suppose -4*m = d - 191, -d - m = h - 221. What are the prime factors of d? 11, 17 Let z(j) = j**2 + 6. Let r be z(0). Let y(p) = -5*p**3 + 3 + 3*p**3 - 6*p**2 + 3*p + 3*p**3. What are the prime factors of y(r)? 3, 7 Suppose 8*j + 5 = 9*j. Suppose -96 = -j*f - 3*l, 33 = f + 3*l - 7*l. List the prime factors of f. 3, 7 Let t = 9 - 148. Let n = 238 + t. What are the prime factors of n? 3, 11 Suppose 5*t - 3*t + 4*d - 342 = 0, -d + 5 = 0. List the prime factors of t. 7, 23 Let r(y) be the third derivative of y**4/8 - y**3/6 + y**2. Let u be r(3). What are the prime factors of 150/u - 2/(-8)? 19 Let s = -173 + 1199. What are the prime factors of s? 2, 3, 19 Let w be (-3)/(5 + 0 - 6). Suppose -33 = -2*q - w*g, 4*g + 34 + 10 = q. What are the prime factors of q? 2, 3 Let k be (-48)/(-24) - (-6 - -1). Let l = 231 - k. What are the prime factors of l? 2, 7 Let j be 0/(-6 + (-12)/(-3)). Suppose -l = -j*l - 2*k - 309, -k = 3*l - 934. What are the prime factors of l? 311 Let o be (14/(-4))/(9051/(-2262) - -4). Let g(s) = -s**3 + 4*s - 1. Let f be g(3). What are the prime factors of 2/f - o/(-56)? 47 Let u(o) = -o**3 - 11*o**2 - 9*o + 14. Let i be u(-10). Suppose w - 881 = -4*m, i*m + 5*w - 2*w = 883. What are the prime factors of m? 2, 5, 11 Let i = 808 - 576. List the prime factors of i. 2, 29 Suppose -4*f - 5*c = 45 - 117, -3*f + 57 = 3*c. Let p = f + -13. Suppose 4 = 2*v - p. List the prime factors of v. 7 Let b(z) be the second derivative of -z**3/6 + 7*z**2/2 - 7*z. Let i be b(8). What are the prime factors of (0 + i)*(-33 - 6)? 3, 13 Let k(d) = 9*d**3 - d**2 - d. Suppose 4*v + s + 8 - 4 = 0, 2*v - s + 2 = 0. Let i be k(v). Let y = i - -24. What are the prime factors of y? 3, 5 Let r(c) = -c**2 - c + 1. Let u be r(-2). What are the prime factors of u - 68/2*-2? 67 Let m(v) = 69*v + 788. List the prime factors of m(27). 11, 241 Let h(i) = -11*i - 4. Let p(y) = -23*y - 8. Let w(r) = -7*h(r) + 4*p(r). What are the prime factors of w(-5)? 71 Let t = -856 + 1292. Suppose -5*r - u + 1130 = 412, 3*r - 2*u - t = 0. Suppose -m - 5*v + 34 = 0, -2 = 5*m - 3*v - r. What are the prime factors of m? 29 Suppose 0 = 6*g - 2*g + 5*m - 23, -3*m = 4*g - 17. Suppose 20 = d + g. Let j = 29 - d. List the prime factors of j. 11 Suppose 172 + 5 = 3*v. Let b = v - 4. List the prime factors of b. 5, 11 Let u = 28 + -25. Suppose u*p + 390 = 990. List the prime factors of p. 2, 5 Let l(v) = v**2 - 11*v - 4. Let r(a) = a. Suppose -3*s - s = -4. Let y(p) = s*r(p) - l(p). What are the prime factors of y(7)? 3, 13 Suppose 3*v - 9*g - 517 = -4*g, 0 = -5*v + g + 825. What are the prime factors of v? 2, 41 Let h(y) = 23*y**2 - 2*y - 2. Let v(a) = 35*a**2 - 3*a - 3. Let k(l) = -7*h(l) + 5*v(l). What are the prime factors of k(-1)? 2, 7 Let f be (-2)/2*(-2 + -2). Let k(c) = -c**2 - c - 1. Let r be k(-5). Let u = f - r. List the prime factors of u. 5 Suppose -10*w = -5*w - 535. Suppose 3*o - 3*g + w = 5*o, 160 = 3*o + 4*g. What are the prime factors of o? 2, 13 Let u = 68 + -54. What are the prime factors of (u*2/(-6))/(2/(-72))? 2, 3, 7 L
{ "pile_set_name": "DM Mathematics" }
at least as big as c? True Suppose 5*p - 10 = o, 2 = 3*p - 2*p - 3*o. Let g(k) = k**2 - 2*k + 2. Let m be g(p). Let u be ((-6)/9)/(m/3). Which is bigger: -2 or u? u Let m(q) = -q - 12. Suppose -5*r - 26 = -3*r. Let y be m(r). Which is bigger: y or 5/12? y Let c(a) = 3*a**3 + 7*a**2 + 8*a - 7. Let u be c(-3). Is u >= -48? False Let c = 20 + -8. Let y be 6/c*(4 - 2). Let z be ((-2)/(-3))/(y/(-1)). Is z less than -2/17? True Let y = 1.02 - -3.25. Let x = -4.3 + y. Is 1 at most as big as x? False Suppose -5*k - 5*j = -70, j + 56 = -8*k + 12*k. Is k >= 12? True Let v be (-71)/(-1 - (1 + -3)). Let k = v + 139/2. Which is bigger: 0.04 or k? 0.04 Let l = -26 + 54. Let i be 8/l - 99/(-21). Suppose 3*v + 14 = i*v. Which is bigger: 8 or v? 8 Suppose 2*i - i = 1. Suppose 0 = -0*d + 4*d + 800. Let o = 1804/9 + d. Are i and o nonequal? True Let w = -6 - -44. Let c = w - 37. Is c less than or equal to -16? False Let b = 133 + -112. Let m be (b/6)/(-1 - (-1)/2). Are m and 3 equal? False Suppose -k - 3*h = 5, 3*k + 0*h = -3*h - 9. Let l be (-3 - k - 2) + -4 + 6. Which is greater: 4/39 or l? 4/39 Let f(i) = 2*i**2 + 15*i + 9. Let m be 28/16*-2*2. Let r be f(m). Let x be 6/(-1)*7/(-35). Is r bigger than x? True Let b = 32524/7 + -4658. Which is smaller: -12 or b? -12 Let k = -0.5 - -0.3. Let p be -4*(15/(-6) - -2). Suppose -p*l - l - 6 = 0. Which is smaller: k or l? l Suppose -3*m + 2*m = -3, -s + 4*m = -3. Suppose -20 = -5*r - s. Is r not equal to -13? True Suppose -10 = -5*p - 5*j, 1 + 3 = 4*p + 2*j. Suppose -24 - 4 = -4*o. Suppose -4*z = -a, 3*a = 5 + o. Which is greater: p or z? z Let o be (-1 - (0 + -3))/1. Suppose o*h = 5 + 5. Let a be 1/h + 413/(-315). Is -2 bigger than a? False Let a(h) = -2*h - 85. Let m be a(-30). Is m at most as big as 3? True Let t = 43015/24 - 1792. Let q = -19/24 + t. Is 68 less than q? False Let k = 17 - 9. Let b be (-4)/(-8)*k/4. Is b < -1/30? False Let h be 1*(-3)/((-36)/(-3)). Let i be -2 - (0 + 98/2). Let d be i/42 + 3 + 6/(-4). Which is smaller: h or d? h Suppose -z = -0*z. Suppose z = -17*x + 13*x. Let a = -514/1915 - -2/1149. Which is greater: a or x? x Let w be (-20)/(-50)*(12 + -2). Let d(q) = q - 4. Let o be d(w). Are -3 and o nonequal? True Let f(a) = 2*a**2 + 6*a - 4. Let u be f(-3). Let z = -179 - -179. Which is greater: z or u? z Let k(w) = -20*w + 578. Let v be k(29). Which is greater: -29/27 or v? -29/27 Suppose -5*k = -0*k - 8*k. Is 2/159 >= k? True Let y(u) = 14*u + 69. Let o be y(-6). Let k = o - -13. Which is bigger: k or -17/8? k Let p = -115.1 - -115. Which is bigger: p or 0.3? 0.3 Let f = 34 + -32. Suppose -5*m - f = -3*m. Let n = -29/25 - -11/225. Which is bigger: m or n? m Let s(x) = x**3 - 6*x**2 - 7*x - 7. Let l be s(7). Suppose -633 = 116*t + 404 - 109. Which is smaller: t or l? t Let u = -526 - -526.177. Is u bigger than 0.1? True Suppose -4*q = -9 - 7. Suppose -2*g - 3*s = -q - 11, 5*g = 5*s + 100. Let y be (-7)/(-7) - 16/g. Is -1 greater than or equal to y? False Let a(p) = -2*p - 16. Suppose -15 = -0*g + g. Let z be a(g). Suppose -24 - 44 = 5*b - 4*n, -2*b = 5*n + z. Is -13 bigger than b? False Suppose 0 = -3*h + q + 446, 0 = -4*h - 2*q + 537 + 71. Which is smaller: 152 or h? h Let d(l) = l**2 + 11*l + 14. Let u be d(-10). Suppose u*f - 5*m + 4 = 0, -2*f - 5*m = -0*m - 28. Suppose f*r - 57 = 3*q + 17, 4*r - 2*q - 72 = 0. Is r >= 18? False Let f(j) = j**2 + 20*j - 475. Let t be f(14). Which is bigger: 2/1767 or t? t Let p = 0 + 0.02. Let f = 0.15 - 0.07. Let d = p + f. Is -0.26 at most as big as d? True Let n = 47 - 91/2. Let u(w) = 3*w**2 - w - 1. Suppose 4*g + 5 = 1. Let z be u(g). Is n at most as big as z? True Let q(n) = 7 - 15 + 8 - n**2. Let z(s) = 6*s - 6. Let r(c) = 2*q(c) - z(c). Let u be r(-5). Which is smaller: u or -13? u Suppose 5*m - 100 = -3*x - 25, -2*m + 30 = -x. Let g = 14 - m. Is g less than 2/11? True Let i be (-2)/4 + (-342)/(-668). Let x = 1177 - 1177. Is i < x? False Let a = -18 - -17.7. Let q = 120636 + -28711293/238. Let b = 1/34 - q. Is a bigger than b? False Let f = -1756 + 1812. Is f bigger than 52? True Let a(n) be the first derivative of n**5/4 + n**3/3 - n**2/2 + 5*n - 2. Let u(z) be the first derivative of a(z). Let v be u(1). Which is smaller: 2/3 or v? 2/3 Let h(u) = u**2 + 6*u + 2. Let p be 3 + (0 + 0 - 0). Let g be h(p). Let s = -26 + g. Is s greater than 2? True Let z = -29 - -28. Let c be ((-46)/11 + 4)/z. Is 1 smaller than c? False Let z = -27.37 + -0.63. Let w = -27.97 - z. Which is smaller: 0 or w? 0 Let y be 8/6*(-42)/20. Is y at most as big as -2/11? True Let q be -1 + 4/7 + (-1242)/10626. Which is smaller: q or 3.3? q Let h = 28.1069 + -0.0069. Let z = -28 + h. Which is greater: z or 6/11? 6/11 Let g = 5900 + -784712/133. Which is bigger: g or -1? g Let q = 1044 - 300. Is 746 equal to q? False Let m(u) = -21*u + 180. Let v be m(10). Is -31 less than v? True Let m(z) = 67*z - 401. Let u be m(6). Which is smaller: -18/137 or u? -18/137 Suppose 15*m = 21*m + 618. Let q = 150 + m. Which is greater: q or 45? q Let c be 0 + (-4 - 1 - -35 - -4). Which is smaller: c or 35? c Let y(v) = v**2 + 4*v - 6. Let j be y(-6). Suppose 2*w = j*w - 20. Let u(i) = -i**3 + 8*i**2 - 16*i. Let o be u(4). Which is greater: o or w? w Suppose -2*x - a = -2*a - 11, -4*x + 17 = -a. Let f be 15/99 - 1/x. Let l = 4574 + -4575. Is l at most as big as f? True Let m be (-32)/4 + (0 - 1). Let o = 7 + m. Let w be o/(-12) + (-175)/1554. Is w >= 1? False Let h be (0 + 0)/(-2) + 13. Let u(m) = -m**2 + 18*m + 20. Let k be u(19). Let s be 12/k - 0/(-31). Which is bigger: h or s? h Let w = -7271/393 - -1/786. Which is smaller: w or -19? -19 Suppose 3*i = -13 + 10. Which is smaller: 6 or i? i Suppose -4*b = 7 - 23. Suppose -i + 4*n + 25 = -0*i, b*i = -4*n. Let t be ((-22)/(-77))/(16/280). Is i > t? False Let j be 2*22*2/4. Which is bigger: j or 17? j Let a = 19 + -14. Suppose 5*h = -k + 9, 7 = -h + a*h + k. Let f(n) = -n**3 - 8*n**2 - 8*n - 6. Let j be f(-7). Which is smaller: j or h? j Suppose -2*t - 19 = -11, 0 = -3*c - t - 298. Is -96 less than or equal to c? False Let d = 6 + -11. Suppose -a + 10 = -0*a + 5*b, -3*b + 34 = 2*a. Let j be d/a*(-8)/18. Which is greater: j or 0? j Let b = -692211674511/214855 - -3221762. Let m = b + 1940355513/1718840. Let k = m + -1127. Is k smaller than 3? True Let k be ((-25)/(-125))/((-1)/5). Let n be 2856/4221 + (-16)/6 + 2. Is k at least n? False Let w(l) = 3*l - 7. Suppose 4*u = -10*y + 5*y + 25, 5*y + 3*u - 25 = 0. Let p be w(y). Let j be 3*(-12)/(-9) + 20/4. Which is smaller: j or p? p Let q be 0 - 4 - (7 - (18 + -5)). Suppose 0 = x - 3*f + 7, -3*x + 7*f = q*f + 33. Which is greater: -7 or x? -7 Suppose s + 10 = 6*s. Suppose l + 3 = -s*l. Let y be (l/25)/(2/2). Which is smaller: -1 or y? -1 Let y(c) = c**2 - c - 144. Let z be y(0). Let r = -1294/9 - z. Let s = 0.548 + 1.452. Is s less than r? False Suppose -3*z + 0*z + 4*x = -1472, 2*z - 5*x = 979. Are z and 492 nonequal? False Let v be (-276)/5616 + ((-4)/9)/(-2). Is -1 not equal to v? True Let s(l) = l**3 + 8*l**2 - 9*l + 5. Let p be s(-9). Suppose -2*q = 4*m + 18, -3*m = p*q - 4*q + 13. Does -1/8 = q? False Suppose 5*w + 629 - 124 = -5*g, 0 = -5*w - 4*g - 503. Let d be (-202)/18 - 22/w. Is d less than or equal to -4? True Suppose 23 = k - 7*j + 2*j, -2*j = 6. Let v be (3*-1)/((-156)/k). Let b = 31 - 32. Do v and b have the same value? False Suppose n + 0*n = 4. Suppose 0 = 4*h - n + 8. Which is smaller: h or -2/13? h Let o = -2277 - -2277. Let t = -0.1 + 0.15. Which is bigger: o or t? t Let p = -685 - -671. Which is bigger: p or -26? p Let h(m) = m**2 + m. Let f be h(-6). Suppose -17*r + 15*r = -f. Suppose 4*a - 5*x = r, -a - 5*x - 25 + 10 = 0. Which is smaller: -2/7 or a? -2/7 Let y = 2 - 2.2. Let i be 28/(-462) - 39/(-2277). Which is smaller: i or y? y Let p be (-33)/(-3)*(4 - 10). Let z = p - -79. Suppose 0 = -j + 3 + 10. Is z at least j? True Let t = 19 + -18. Let g be (-2)/(-6) - 9707/33. Let k = g + 294. Is k greater than or equal to t? False Let a be (-1)/20 + 3/(-15). Does a = 36? False Suppose o - 2*z + 10 = 0, -o + 2*z - 6 = -2*z. Let u(h) = h**3 + 13*h**2 - 16*h - 19. Let j be u(o). Let v = j + -17/2. Do v and 1 have different values? True Suppose -3*z + 3*a + 3 = 0, 2*a = -5*z + 13 + 27.
{ "pile_set_name": "DM Mathematics" }
**2 + 1 - 1 - 2*g**2 as q*g**2 + m*g + c and give q. 19 Rearrange (-x + 3*x - x + (2*x + x - 4*x)*(-5 + 2 + 1) - 1 + 2*x + 1)*(-9 - 5 - 13) to the form n*x + f and give f. 0 Express 0*l**2 + 2*l**2 - 4*l**2 + 26*l - 34*l - 1 + l**3 as t*l + s*l**3 + i + y*l**2 and give y. -2 Express (0*a - a + 2*a)*(3*a - 2*a + 0*a) - 5 + 18 - 13 - 593*a**2 as x*a + b + w*a**2 and give x. 0 Express (-23*h + 10*h - 32*h)*(-2 - 2 + 2) - 2*h - 2*h + 3*h in the form c*h + u and give c. 89 Express (3 - 5 - 2)*(4*c + 3 - 3)*(-3 - 3 + 5)*(4 - 4 + 2*c) in the form v*c + p*c**2 + w and give w. 0 Rearrange (-1 + 0 + 3)*(4055 + 156*f - 4055) to u*f + n and give u. 312 Rearrange -20*h**2 + 5*h**2 - 3*h**2 to the form q*h**2 + v*h + z and give v. 0 Rearrange (-3 + 2 + 2)*(3*m + 0*m + m + (3*m - 4*m - m)*(4 - 5 - 1)) to u + g*m and give u. 0 Rearrange 4*w**2 - 46 + 91 - 54 to f*w**2 + g*w + l and give f. 4 Rearrange 3 + 14*l**2 - 2*l**2 - 3 to the form o + f*l**2 + c*l and give f. 12 Rearrange (5*n - 5*n - n**3)*(2*n + 2 - 9*n - 30*n) to k + r*n**4 + o*n + v*n**2 + m*n**3 and give r. 37 Rearrange -q + 7*q**2 + 2*q**2 + 2 + 0*q to the form f*q + r*q**2 + z and give r. 9 Rearrange 0*h - 3*h + 4*h + (1 - 2*h - 1)*(3 - 1 - 3) - h - 1 + 1 - 10*h - 132 + 132 to o + m*h and give o. 0 Express (-2*s**2 - 12 + 12)*(2 - 6 + 0 + (0 + 2 - 4)*(2 - 2 + 1) + 2 + 1 - 1) as c + u*s + x*s**2 and give x. 8 Rearrange -5*k + 4*k + 2 - 2*k**3 + 2*k + 4*k to l + y*k**2 + s*k**3 + h*k and give l. 2 Rearrange -18*a + 53*a**2 + 6*a + 11*a to the form t*a**2 + i*a + v and give t. 53 Rearrange ((-5 - 3 - 5)*(-d + 2*d - 3*d) - d + 0*d + 0*d)*(2*d + 2 - 2)*(-3 + 4 - 3) to k + f*d**2 + q*d and give f. -100 Rearrange 12*a + 31*a - 15*a to z + o*a and give o. 28 Express (0*p**2 + p**2 + 0*p**2)*(-2*p**2 - 7 + 13 + p**2) as n*p**2 + o*p**3 + y*p + s*p**4 + w and give n. 6 Express -4 - 3*b**2 + 1 + 3 in the form l*b + z + d*b**2 and give d. -3 Rearrange (20*k + 34 - 34)*(3*k + 3*k + 2*k) to n + g*k + w*k**2 and give w. 160 Rearrange 2*m**3 + 0*m**2 + 15*m**4 - 5*m**4 + 2*m**2 - 9*m**4 - 2 to n*m**2 + d + t*m + b*m**4 + s*m**3 and give n. 2 Express -9*y - 7*y + 4*y in the form k*y + t and give k. -12 Express -6*c - 1 + 4*c + 0*c**2 + c**2 - 2*c**4 - 6*c as p*c**3 + w*c**4 + q*c + f + t*c**2 and give t. 1 Express 3*l + 14*l + 8*l as r*l + v and give r. 25 Express l**2 + 68 - 3*l**2 + l**2 as v*l + k*l**2 + n and give k. -1 Rearrange -3*q + 0*q + q + (3 + 1 - 3)*(3*q - 9 + 9) + (2*q - 4*q + q)*(2 + 1 - 2) + 1 - 1 - q + (4 + 1 + 3)*(4 - 4 - 2*q) to k + g*q and give g. -17 Express -2 + 3*f - f**2 + 20*f**4 - 21*f**4 + 6*f**2 - 2*f**3 in the form a + d*f**2 + x*f**3 + l*f**4 + w*f and give a. -2 Express (4*l - 6*l + 0*l)*(-2*l + 2*l - 2*l**2 + (-3 + 0 + 2)*(l**2 - 4*l**2 - l**2)) in the form q*l + g*l**2 + u*l**3 + m and give u. -4 Rearrange 38 + r**2 - r - 38 - 19*r**3 + (-2*r**2 + 3*r**2 + r**2)*(-2*r - r + r) + 3 + 3*r**3 - 3 to m*r**3 + b + g*r**2 + s*r and give g. 1 Express 0*b + 3*b**4 + 8*b**3 + 0*b - 2 - b**3 as a*b**3 + i*b**2 + u*b + g + o*b**4 and give a. 7 Rearrange (3 - 1 - 5)*(-5 + 7 + 1)*(3*p**2 - 4*p**2 - p**2) to the form u + k*p**2 + x*p and give k. 18 Express -2*w - 11*w + 32*w as f + h*w and give h. 19 Express 6 - 3 - 2*d**2 + 4*d**2 - 2*d**4 - 6*d + 5*d in the form g*d**3 + v*d**4 + p + q*d + w*d**2 and give w. 2 Rearrange (-4*o**2 + o**2 + 2*o**2)*(4 + 1 - 3 + (-4 + 0 + 2)*(4 + 2 - 4))*(o - 3*o - 2*o) to z + c*o**3 + j*o + q*o**2 and give c. -8 Rearrange (1 - 2 - 2)*(0 - 5 + 4)*(u - 3*u + u) to g + t*u and give t. -3 Rearrange -7*s - 4*s + 2*s to the form p + u*s and give u. -9 Rearrange -4*u**3 + 2*u - 4 + 2*u**3 + 4 - u**2 to the form k*u**3 + l*u + w*u**2 + x and give k. -2 Express (-3*o**3 + o**3 + o**3)*(36*o - 6*o + 3*o) as g*o**2 + j*o**3 + z*o**4 + r*o + y and give z. -33 Express (0 - 1 - 2 + (-4 - 1 + 3)*(-1 - 3 + 2))*(1 - 1 - 1)*(12*d**3 - 18*d**3 - 21*d**3) in the form v*d**2 + i + c*d**3 + x*d and give c. 27 Rearrange s**4 + 2*s**4 - 2*s - 4*s**4 - 4 + 4*s**4 - s**2 to the form v + c*s**3 + d*s**2 + r*s**4 + f*s and give d. -1 Rearrange (5 - 5 - 5*u)*(10 - 4 + 20) to o + b*u and give b. -130 Express (6 - 3 - 4)*(5 + 0 + 1)*(0*t - t - t) in the form q + u*t and give u. 12 Express (-438*r**2 - 548*r**2 + 1113*r**2)*(r**2 + 0 + 0) in the form u*r**2 + y*r**3 + g + s*r + l*r**4 and give l. 127 Rearrange -3*a - 9*a - 12*a + 3*a to the form g + h*a and give h. -21 Rearrange (-2 - 2 + 6)*(-22*m + 8 - 8) to the form o*m + l and give o. -44 Rearrange -1045*o**3 - 3*o + 1045*o**3 + 1 + 3*o**4 to the form i*o + f*o**3 + p*o**4 + v + q*o**2 and give p. 3 Express 5*c - 14 + 12 - 3*c**2 - 3*c + 22*c in the form t*c**2 + q + h*c and give t. -3 Rearrange -4*g + 5*g + 3 - 3 to n*g + v and give n. 1 Express -11 - 1 + 9 + 3*t**2 as x*t + u + j*t**2 and give j. 3 Rearrange 182 - 182 + 2*h**2 - 5*h**3 to the form j*h + z*h**2 + l + c*h**3 and give l. 0 Express 2*g - 25*g**3 + 18*g**3 + 3 + 8*g**3 + 3*g**2 in the form i + m*g**3 + x*g + u*g**2 and give u. 3 Rearrange -1 + 10*i - 33*i**2 - 22*i + 14*i to the form t*i**2 + n*i + m and give m. -1 Express -1 - 4*j**2 - 1 + 2*j**2 + 4 in the form x*j**2 + a*j + i and give x. -2 Rearrange -1 - 2*v**2 - v**2 - 5*v**3 - 4*v**3 + 5*v**2 to the form u*v**2 + s*v + d*v**3 + w and give u. 2 Express -2*u**2 + 10*u**3 + 7*u - 6*u**3 - 2*u as x*u**2 + y*u**3 + g + d*u and give x. -2 Rearrange (d + 4*d + 0*d)*(-1 - 1 + 5) + 0*d + 0*d + 3*d to the form y*d + u and give y. 18 Rearrange -k - 5*k - 2*k to b*k + m and give b. -8 Rearrange 10*c + 5*c + 7*c to the form t*c + h and give t. 22 Rearrange (-10 - 1 - 1)*(-3*x + 0*x + x)*(1 + 4 - 3) to v + q*x and give q. 48 Express (323*g - 184*g - 373*g)*(2 - g**2 - 2) in the form o + u*g + s*g**2 + x*g**3 and give x. 234 Express p + 2*p**4 - 2*p + 4*p**2 + 0*p**3 + p**3 as c + y*p + k*p**4 + o*p**3 + q*p**2 and give y. -1 Express -94*a**2 + 3*a**2 + 6*a**2 in the form g*a + l + f*a**2 and give f. -85 Rearrange ((1 - 2 + 3)*(3*m - 5*m + m) + 3 - 2*m - 3)*(m**2 - 3 + 2*m - 5*m**2 + 1) to w + q*m**3 + u*m + h*m**2 and give q. 16 Rearrange (4 - 6 - 4)*(-2*y - 2*y + 3*y) - 1 - y + 1 to z*y + r and give z. 5 Rearrange (-4*u + 5*u + 0*u)*(3*u + 8*u + 14*u) to the form f + q*u**2 + z*u and give f. 0 Express (-4*f**3 + f**3 + 5*f**3)*(-2*f - f + 4*f) + (-1 - 1 + 5)*(-f**4 - 2*f**4 + f**4) as y*f**4 + t*f**3 + v*f**2 + z + h*f and give y. -4 Express (5*p - 4*p - 2*p)*(8 - 27*p - 9 + 5) in the form b + q*p**2 + c*p and give b. 0 Rearrange (-2*f**2 + f**2 - 3*f**2)*(-34 - 12*f**2 + 34) - f + 2*f**4 + f to the form h*f**3 + z*f**2 + c + u*f**4 + s*f and give u. 50 Rearrange -k**2 - 164 + 62 + 52 + 61 to h*k + v + n*k**2 and give v. 11 Express -3*l**2 - 2 + l**2 - 4*l**3 + l**2 + 4 in the form w*l**2 + f + p*l + z*l**3 and give w. -1 Rearrange 1 - 21*y**4 - y**3 - 20*y**4 + 39*y**4 + 2*y**2 - 3 to w*y**4 + o*y + k*y**3 + p*y**2 + t and give k. -1 Express (1 + 2*u - 1)*(5*u + 5*u + 2*u)*(2*u + u - u) in the form a*u**2 + z + t*u**3 + x*u and give t. 48 Express -414*g + 414*g - 21*g**2 in the form a + y*g**2 + p*g and give y. -21 Express (i + 1 - 1)*(-9 + 28 + 17) in the form f*i + c and give f. 36 Rearrange 5*c - 4*c + 9*c + 6*c to the form v + q*c and give q. 16 Rearrange (-3*g + 13 + 8*g - 3*g)*(2 + 5*g - 2) to l*g + k*g**2 + j and give k. 10 Express -2*c**3 - c - c**4 - 2*c**2 + 31 - 29 + 4*c in the form u*c**4 + g*c**3 + t + s*c + f*c**2 and give s. 3 Express (-11 - 10 + 19)*(-4 + 2*a + 4)*(-4 + 6 - 1) in the form h + t*a and give t. -4 Rearrange (-3*l**2 - 5*l**2 + l**2)*(4*l**2 + 0*l**2 + 0*l**2) to the form k*l**4 + s + z*l**3 + j*l + c*l**2 and give k. -28 Rearrange -9 - 3 + 4*o**3 + 3*o**2 - 3*o**3 + 18 to the form q*o + i*o**3 + k*o**2 + l and give k. 3 Express 8*u - 48*u - 28*u as o + i*u and give i. -68 Express -8*v - 9*v + 0*v as y + o*v and give o. -17 Rearrange 47*n**2 + 37*n**2 - 6*n**2 to the form c*n**2 + u + r*n and give c. 78 Express -k + 5*k - 2*k + 3*k - k - k + (0*k - k + 2*k)*(-1 + 1 + 1) as f*k + h and give h. 0 Rearrange -3 + 4 - 25*p**2 - 12*p**2 + 6*p**2 to r*p**2 + w + c*p and give c. 0 Rearrange -33 + 2 - 25 + 16*a**3 - 2*a - 17*a**3 to o*a + m + q*a**2 + p*a**3 and give o. -2 Rearrange (2*h - 10 + 10)*((-4 +
{ "pile_set_name": "DM Mathematics" }
alculate the lowest common multiple of 1216 and 8512. 8512 Find the common denominator of 91/9480 and -133/7920. 625680 What is the common denominator of 73/149176 and 27/298352? 298352 What is the common denominator of 23/144 and 87/800? 7200 Find the common denominator of 67/70720 and 58/221. 70720 Find the common denominator of 107/2646 and 43/378. 2646 Calculate the lowest common multiple of 2 and 210802. 210802 Calculate the lowest common multiple of 75412 and 85. 377060 Calculate the common denominator of 24/200123 and -38/60907. 1400861 What is the common denominator of 85/66 and 79/6372? 70092 Find the common denominator of 41/140336 and -15/128. 1122688 Calculate the common denominator of -53/39802 and -5/45488. 318416 What is the smallest common multiple of 6228 and 180? 31140 Calculate the smallest common multiple of 12 and 163924. 491772 Calculate the common denominator of -50/4441 and 19/3. 13323 Calculate the common denominator of -113/28 and -15/1232. 1232 Calculate the lowest common multiple of 1569 and 2031. 1062213 Calculate the smallest common multiple of 103180 and 1005. 309540 Calculate the smallest common multiple of 56 and 1880. 13160 Calculate the common denominator of 41/133732 and 85/4. 133732 What is the common denominator of -2/2441 and 119/10? 24410 Find the common denominator of -21/99968 and -87/32. 99968 What is the lowest common multiple of 35448 and 47264? 141792 What is the least common multiple of 25900 and 6660? 233100 Find the common denominator of 69/249268 and -37/124634. 249268 Calculate the common denominator of -95/8944 and 113/58824. 1529424 Find the common denominator of 79/7990 and -121/1700. 79900 What is the common denominator of -38/152901 and 22/225? 3822525 Calculate the common denominator of -167/13818 and -103/18518. 2722146 Calculate the least common multiple of 350 and 8190. 40950 What is the least common multiple of 71262 and 1332? 142524 What is the smallest common multiple of 92 and 10192? 234416 What is the common denominator of 61/1421 and -31/667464? 4672248 Calculate the common denominator of -43/2396 and -77/1108. 663692 What is the least common multiple of 12528 and 6264? 12528 What is the smallest common multiple of 1527077 and 564? 18324924 What is the lowest common multiple of 2002 and 7238? 94094 Find the common denominator of 55/271512 and -64/56565. 1357560 What is the lowest common multiple of 6435 and 2715? 1164735 Calculate the common denominator of 27/5 and 109/200916. 1004580 What is the common denominator of -47/16 and 43/17975? 287600 What is the lowest common multiple of 38 and 18267? 694146 Calculate the common denominator of 43/56 and -97/5992. 5992 Calculate the least common multiple of 6016 and 1632. 306816 What is the common denominator of -23/43912 and -17/11976? 131736 Calculate the common denominator of -157/28620 and 67/5300. 143100 Calculate the smallest common multiple of 1162 and 94122. 94122 What is the common denominator of -54/8173 and 69/110? 81730 Calculate the lowest common multiple of 240 and 858. 34320 Find the common denominator of -11/1968 and -109/16236. 64944 Calculate the common denominator of -97/792 and -34/99. 792 What is the smallest common multiple of 696 and 4305? 998760 Calculate the least common multiple of 12384 and 36. 12384 Find the common denominator of 1/808 and -27/100192. 100192 What is the common denominator of -41/313300 and 19/125320? 626600 What is the lowest common multiple of 41085 and 1485? 123255 Calculate the lowest common multiple of 62713 and 1729. 15490111 Find the common denominator of -35/282 and 35/1002. 47094 What is the smallest common multiple of 8 and 1424270? 5697080 What is the common denominator of -67/468 and 70/36621? 146484 What is the least common multiple of 216 and 2197968? 19781712 What is the lowest common multiple of 94656 and 1479? 94656 Find the common denominator of -155/66 and -29/1756524. 1756524 Find the common denominator of 12/7 and -25/9638. 67466 Calculate the common denominator of -23/436774 and -7/104. 1747096 Calculate the common denominator of -115/95418 and -1/2356. 190836 Calculate the smallest common multiple of 84 and 15120. 15120 Find the common denominator of -29/5 and -75/1091864. 5459320 What is the least common multiple of 3 and 379958? 1139874 What is the lowest common multiple of 132 and 142263? 569052 What is the smallest common multiple of 313 and 458858? 458858 Find the common denominator of 69/9464 and -23/4368. 56784 Calculate the common denominator of 151/52632 and 37/2021. 2473704 What is the lowest common multiple of 3105 and 759? 34155 What is the common denominator of -47/81 and -65/6588? 19764 Calculate the common denominator of 137/513036 and 26/441781. 15904116 Find the common denominator of 50/9 and 49/302116. 2719044 Calculate the common denominator of 197/26730 and 103/540. 53460 What is the smallest common multiple of 624 and 330408? 660816 What is the common denominator of 47/1672 and -47/374? 28424 Calculate the common denominator of 23/1144 and -51/105886. 5506072 Calculate the common denominator of 7/684135 and 63/3305. 684135 What is the common denominator of 49/36788 and -113/12? 110364 Calculate the smallest common multiple of 27952 and 66386. 531088 Calculate the lowest common multiple of 5 and 37240. 37240 Calculate the common denominator of -45/242 and -43/414018. 4554198 Find the common denominator of 43/496 and 54/6293. 100688 What is the common denominator of 163/143040 and -19/800? 715200 Calculate the smallest common multiple of 1431 and 810. 42930 What is the smallest common multiple of 637837 and 3? 1913511 What is the smallest common multiple of 43 and 1285? 55255 Calculate the common denominator of -67/1112 and -11/28. 7784 Find the common denominator of 77/16092 and -67/4172. 112644 Calculate the common denominator of -137/1812 and 115/16308. 16308 What is the lowest common multiple of 23864 and 11932? 23864 What is the smallest common multiple of 7905 and 6545? 608685 What is the least common multiple of 810 and 25992? 1169640 Calculate the common denominator of -85/414 and 67/92. 828 What is the least common multiple of 165 and 9552? 525360 Calculate the common denominator of 79/8 and 79/34070. 136280 What is the smallest common multiple of 14987 and 8564? 59948 What is the common denominator of -121/2118 and -47/7766? 23298 Find the common denominator of 139/15070 and 23/33154. 165770 What is the common denominator of 161/3894 and 55/708? 7788 What is the least common multiple of 4188 and 7329? 29316 What is the common denominator of 89/10 and -95/2688? 13440 What is the lowest common multiple of 4112 and 192? 49344 Calculate the smallest common multiple of 20677 and 92. 82708 Calculate the common denominator of 89/7360 and -11/191360. 191360 Calculate the common denominator of -10/7 and 68/954081. 6678567 Calculate the smallest common multiple of 93020 and 483704. 2418520 Calculate the common denominator of 101/2 and -4/229. 458 Find the common denominator of 119/1780 and -193/1020. 90780 What is the common denominator of 121/50 and -131/1616250? 1616250 Calculate the least common multiple of 110 and 4488. 22440 Calculate the least common multiple of 1480 and 216376. 1081880 Find the common denominator of 28/6927 and 37/3. 6927 What is the common denominator of 93/433202 and -16/59073? 1299606 Calculate the lowest common multiple of 11 and 200966. 2210626 What is the lowest common multiple of 12408 and 5264? 173712 What is the least common multiple of 342 and 12? 684 What is the smallest common multiple of 37620 and 1980? 37620 What is the common denominator of -101/5466 and 149/5634? 5132574 What is the lowest common multiple of 4704 and 504? 14112 What is the common denominator of 70/33 and -77/88563? 974193 Calculate the common denominator of 35/22 and -87/113830. 1252130 Calculate the lowest common multiple of 640 and 48720. 389760 What is the common denominator of 17/2 and 35/5657683? 11315366 Calculate the lowest common multiple of 36270 and 157170. 471510 Calculate the smallest common multiple of 176 and 2736. 30096 Calculate the common denominator of 29/38 and 77/1301044. 1301044 Calculate the smallest common multiple o
{ "pile_set_name": "DM Mathematics" }
y + 54*y + 8 = 0. Let u(g) = g + 8. Let p be u(y). Sort -4, p, 5, -2 in decreasing order. 5, p, -2, -4 Suppose 2*b - 5 = 5. Let r(v) = -2*v - 12. Let q be r(-8). Put q, b, 0 in ascending order. 0, q, b Let c = -941 - -943. Sort 1, 169, c in descending order. 169, c, 1 Let x = 16.02 - 15.02. Let n = 1 - 3. Put 2/17, 4, x, n in decreasing order. 4, x, 2/17, n Let t = -32 + 31. Let u = 202/5 + -206/5. Put u, t, 1/6 in decreasing order. 1/6, u, t Let y(o) = o**3 - 15*o**2 + 13*o + 4. Let k be y(14). Let f = k + 7. Let g = -1.1 + 0.1. Put 0.5, g, f in decreasing order. 0.5, g, f Suppose -14 = 5*t + 2*s, 3*s - 2*s = 4*t + 19. Let m = -23 + 30. Suppose -7*y + m = -0. Put t, y, 3 in descending order. 3, y, t Let d be 4/((15/(390/8))/(-2)). Sort d, -5, 3 in ascending order. d, -5, 3 Let r = -2.756 - 0.044. Let t = 2.4 + r. Let x = 65/6 - 61/6. Put x, 3, t in descending order. 3, x, t Suppose -3*c = -3*h - 2*h - 78, -h - 11 = 4*c. Suppose 2*k + 8 = -4*j, 0*k - 5 = j + 2*k. Put 3, 1, h, j in descending order. 3, 1, j, h Let f(b) = 44*b - 5. Let r be f(1). Suppose 0 = 41*y - r*y - 2. Suppose -4*l = 3 + 17. Sort -4, l, y in decreasing order. y, -4, l Suppose -2*z = 5*b - z + 22, 22 = -3*b - 5*z. Suppose 2*h + 0*h + 18 = 0. Let s = -8 - h. Put -1, b, s in descending order. s, -1, b Let w = 2 + -2.3. Let c = 901 + -906. Let p = -3 - 0. Sort p, w, c. c, p, w Let q = -464 + 463. Put -3/7, q, 3 in increasing order. q, -3/7, 3 Let q be (-8)/12*9/(-4). Suppose -5*j + 191 = 4*i, -12 = -j + 5*i + 32. Suppose -4*m + 3*r - j = -2*r, 3*m + 24 = 2*r. Put q, m, 1 in decreasing order. q, 1, m Let p(z) = -z**2 + 7*z + 35. Let o be p(11). Sort -2, 3, o in descending order. 3, -2, o Let u = 2/393 - 1195/3144. Let i = -402 - -400. Put u, 3, i in increasing order. i, u, 3 Let b(j) = j - 1. Let i be b(-2). Let o be i/(-1) - 3 - 18. Let m be 2/3 + 57/o. Sort -0.4, -1, m. m, -1, -0.4 Let o = 7.09 + 0.31. Let l = o + -3.4. Sort -0.1, l, -2/17. -2/17, -0.1, l Let h(b) = b**2 - 2*b - 51. Let t be h(9). Put t, 0, -3 in ascending order. -3, 0, t Let r = -2 + -3. Suppose -171*d - 6 = -174*d. Suppose -6*z - d*z = -3*z. Sort z, 2, r. r, z, 2 Let v = -6015/4 + 1504. Let m = -3.7 - -0.7. Sort v, m, -0.3 in descending order. v, -0.3, m Suppose -2*x - 5 - 17 = -2*j, -2*x = -3*j + 37. Let t be (0 - 5/j)*15. Put 0, -4, t in descending order. 0, -4, t Let a = -381 - -380.6. Sort a, -48, -1/3 in decreasing order. -1/3, a, -48 Suppose m + 2*k - 69 = 0, 0 = -3*m - m + 4*k + 264. Let r = -62 + m. Suppose -5*f - 4*i = -15, 4*i + 8 = 2*f + 2. Sort r, f, -5 in descending order. r, f, -5 Suppose -5*d - l = 71, 4*d + 0*l = -3*l - 59. Let i = d - -44/3. Let a = -10 + 5. Put -1/6, i, a in increasing order. a, -1/6, i Suppose -4 = -2*c - 2*v + 2, -1 = -c - 3*v. Suppose 4*r - 2*y + 8 = 0, 5*r - 11*y + 7*y + 7 = 0. Let h be r*2/(-3)*(-3)/3. Put h, c, 0.05 in descending order. c, 0.05, h Let b = -16.3 + 16.6. Let c = -6 + 8. Let q be 0/c + (-6 - -1). Put q, 0, b in ascending order. q, 0, b Let u be -3 + (-7)/((-7)/(-2)). Let l = 1.38 + 1.62. Sort u, -3, l, -0.3 in ascending order. u, -3, -0.3, l Let m be 35/10*2 - 4. Suppose 0 = -m*f - 8 + 20. Suppose f*z = 3*z - 5*y + 20, -3*y + 12 = 4*z. Put -6, z, -1 in descending order. z, -1, -6 Let z = -156 - -1402/9. Let o be 5 - 1 - -35*24/(-224). Sort z, o, -1, 4/9 in ascending order. -1, z, o, 4/9 Let r(j) = 3*j + 43. Let h be r(-14). Suppose -4*k + 137 = -23. Suppose 9*p = 4*p - 2*d + 15, -3*p + k = -5*d. Sort 4, p, h in increasing order. h, 4, p Let c = -1106 + 1111. Put -0.4, c, -2 in decreasing order. c, -0.4, -2 Let y be 48/27 - (-4)/18. Suppose -9*m + 6 = -12. Suppose 0 = f + k - 7, -3 = m*f - k - 5. Put 0, y, f in descending order. f, y, 0 Let i(j) = j**2 + 5*j - 3. Suppose 5*s + 9 = 6*s. Let m = s + -15. Let c be i(m). Sort c, -1, 1 in descending order. c, 1, -1 Let c = -2155 + 1495. Let o be 6/(-8) + c/400. Sort -4, -0.4, -1, o in increasing order. -4, o, -1, -0.4 Let i = -0.249 + -0.051. Sort i, -4, -0.5, 4 in descending order. 4, i, -0.5, -4 Suppose -3*p + 2*j - 64 = 0, j + 42 = -4*p - 36. Let u be p/(-30) + (-22)/6. Put -1, 3, u in ascending order. u, -1, 3 Let y = 22 + -36. Let r = -10 - y. Let m = -13 + 12.9. Put 1, r, m in descending order. r, 1, m Let w = -10.3 + -0.7. Let d = -1.1 + 12.1. Let i = d + w. Put i, 3, -1 in decreasing order. 3, i, -1 Suppose -15 = -3*c, -5*d - 5*c - 46 = -61. Suppose 0 = -3*f - 4 - 5. Sort 4/3, f, -0.5, d in decreasing order. 4/3, -0.5, d, f Let x = -204 + 206. Sort 5, 3, x in decreasing order. 5, 3, x Suppose 27*z = 22*z - 10. Put 2, -4, -21, z in ascending order. -21, -4, z, 2 Let i be ((4/6)/(-2))/((-707)/(-606)). Let n = 0.1 + -0.3. Sort -2, n, i, 0.1 in increasing order. -2, i, n, 0.1 Let z be (4 - (-14)/(-4))*-66. Let c = z + 22. Let a be (4/c)/((-2)/3). Put a, 2/13, -0.5 in increasing order. -0.5, 2/13, a Let m be (15/(-35))/(-3)*1. Sort 9/4, -4, -1, m in decreasing order. 9/4, m, -1, -4 Let a(t) = -t + 3. Let v be a(3). Let n be (5 - (-1 + -2))/2. Let i = -1 - n. Put 4, i, v in decreasing order. 4, v, i Let p = 199 + -194. Sort p, -5, -7. -7, -5, p Suppose -y - 32 = -35. Sort y, 4, -5 in ascending order. -5, y, 4 Suppose 3*c + 48 = 3*k, 0*k + c + 50 = 3*k. Suppose k = 5*y - 3. Suppose -8 + 24 = y*t. Sort t, -4, -5. -5, -4, t Let b = -51 + 46.4. Let k = b - -4.7. Put -0.8, 1/3, k, -2 in descending order. 1/3, k, -0.8, -2 Let v(q) = 3*q + 3. Let u(n) = n. Let p(y) = -2*u(y) + v(y). Let f be p(2). Suppose -f + 17 = -3*d. Sort 3, 0, d. d, 0, 3 Suppose -832*c = -842*c. Let l = -4 + 9. Let z(s) = -s**3 - 3*s**2 + 3*s + 4. Let p be z(-3). Sort p, l, c in descending order. l, c, p Let j = -1.862 - -1.662. Sort j, 0.2, 0.04. j, 0.04, 0.2 Let v = 17.3 + 4.7. Let k = 40 - v. Let n = k + -21. Sort -2/15, 0.1, n in ascending order. n, -2/15, 0.1 Let d be (-2)/(-7) + (-38)/(-14). Suppose -v - 21 = 4*o, 5*v - 20 = 3*o + 2*o. Sort -2, d, -5, v in descending order. d, v, -2, -5 Suppose -b + 13 = -4*b + 5*h, 0 = 5*b - h + 7. Sort -16, b, 10, 2 in decreasing order. 10, 2, b, -16 Suppose i - 2*i - 8 = 4*l, 4*l = -4*i + 4. Suppose -4*j = w - 0*w - 32, -i*j + 8 = -5*w. Put j, 4, 3, 5 in descending order. j, 5, 4, 3 Let r be ((-2)/6)/(42/(-144)). Let l = 327/5 + -65. Put -1/6, l, r in increasing order. -1/6, l, r Suppose -140*j + 132*j = 0. Sort 8, j, -1.2 in decreasing order. 8, j, -1.2 Suppose -8*f - 15 = 3*a - 4*f, -a = -2*f - 5. Let q = -5 + 9. Put q, a, 0 in descending order. q, 0, a Let i(t) = -t. Let q(v) = 5*v - 26. Let a(x) = -6*i(x) - q(x). Let k be a(-24). Sort 4, -4, k, -3 in ascending order. -4, -3, k, 4 Suppose 0 = 4*l - t + 4*t - 32, -2*l + t + 26 = 0. Let r(d) = d + 34. Let o be r(l). Put o, 0, 3 in decreasing order. o, 3, 0 Suppose 4*w + 5 - 11 = n, -n - 15 = -w. Put n, 18, 1, 0.2 in decreasing order. 18, 1, 0.2, n Let a = 0 + -6. Let o = -0.17 + -3.63. Let x = o - 0.2. Sort a, x, 2/13 in descending order. 2/13, x, a Let x = 11/31 - -65/341. Let u = 4.08 - 4. Put 0.2, 5/2, x, u in ascending order. u, 0.2, x, 5/2 Let c = -119.5 - -61.5. Sort c, -5, -0.1, -1. c, -5, -1, -0.1 Suppose -236*r + 231*r = -10. Suppose -u = 2 - 0. Let b(s) = s**3 - s**2 + s - 2. Let n be b(2). Put n, r, u in decreasing order. n, r, u Let v = 1/33 - 4/11. Let i = 5 - 4. Sort i, 3/4, v in descending order. i, 3/4, v Suppose 10*c - 42*c + 96 = 0. Put -208, c, 1 in decreasing order. c, 1, -208 Suppose -6*q - 16 = 14. Put q, 4, 1 in descending order. 4, 1, q Suppose p + 2 = -0*p. Let r = -7.22 - -7.82. Put r, 3, p in descending order. 3, r, p Let r(n) = -21*n + 73. Let b be r(4). Put -4, -1, b, 5 in decreasing order. 5, -1, -4, b Let z = -469 + 466. Sort -7, 1/7, z. -7, z, 1/7 Suppose -2*l + v = -0*v, -4*l + v - 2 = 0. Let y be 0/1 - 0 - l. Let w = 151 - 152. Sort w, 0, y. w, 0, y Let k = -357 - -357.3. Sort 0, k, 0.07. 0, 0.07, k Let k be -1*2 - 20/(-11). Let u = -18.1 - -18. Let q = -2909/19 + 153. Put q, k, u in increasing order. k, q, u Suppose 4 = -l + 7. Let o be 2 + (-4)/(l - 7). Suppose -o - 1 = 2*n. Put -4, -5, n in increasing order. -5, -4, n Let d = 8 - 54. Let l = 45 + d. Sort l, -0.3, 2. l, -0.3, 2 Let u = 1026/7 + -146. Let a = -127.45 - -128. Sort 1/3, u, a in decreasing order. u, a, 1/3 Suppose 0*s + s - 5 = 0. Let l(n) = -n +
{ "pile_set_name": "DM Mathematics" }
3, 1699853 What are the prime factors of 6113152? 2, 163, 293 List the prime factors of 638940646. 2, 113, 241, 11731 What are the prime factors of 1850282793? 3, 47, 139, 31469 List the prime factors of 11687178. 2, 3, 607, 3209 List the prime factors of 73206399. 3, 7, 3486019 What are the prime factors of 3842328659? 13, 295563743 What are the prime factors of 582153590? 2, 5, 53, 59, 18617 List the prime factors of 1239191450. 2, 5, 7, 1487, 2381 List the prime factors of 337830527. 181, 1866467 List the prime factors of 473850355. 5, 11, 8615461 List the prime factors of 12296679. 3, 41, 257, 389 List the prime factors of 341158676. 2, 1213, 70313 List the prime factors of 671659794. 2, 3, 13, 131, 21911 What are the prime factors of 72112405? 5, 14422481 List the prime factors of 83341374. 2, 3, 23, 603923 What are the prime factors of 41688470? 2, 5, 19, 313, 701 List the prime factors of 139164296. 2, 661, 26317 What are the prime factors of 96864672? 2, 3, 1009007 What are the prime factors of 44614304? 2, 7, 37, 769 List the prime factors of 37065046. 2, 37, 47, 10657 What are the prime factors of 2570378054? 2, 29, 773, 57331 List the prime factors of 68743246. 2, 11, 13, 21851 List the prime factors of 44344957. 44344957 What are the prime factors of 38410033? 37, 28057 What are the prime factors of 58149284? 2, 71, 204751 What are the prime factors of 205872218? 2, 23, 29, 37, 43, 97 List the prime factors of 774658222. 2, 13, 569, 52363 List the prime factors of 284182455. 3, 5, 17, 29, 83, 463 List the prime factors of 1346694935. 5, 571, 471697 List the prime factors of 321380615. 5, 64276123 What are the prime factors of 221756124? 2, 3, 18479677 What are the prime factors of 6560804? 2, 1640201 What are the prime factors of 2619061084? 2, 8053, 81307 What are the prime factors of 2258434310? 2, 5, 11, 997, 20593 List the prime factors of 167614023. 3, 55871341 What are the prime factors of 1252626435? 3, 5, 29, 959867 List the prime factors of 308170021. 308170021 List the prime factors of 39690892. 2, 43, 230761 What are the prime factors of 79726059? 3, 7, 421831 List the prime factors of 515087536. 2, 179, 179849 List the prime factors of 15806276. 2, 29, 136261 What are the prime factors of 1330831229? 7, 13, 160709 What are the prime factors of 12181377? 3, 13, 312343 List the prime factors of 117827493. 3, 7, 17, 19, 29, 599 List the prime factors of 2478291812. 2, 619572953 List the prime factors of 3164934294. 2, 3, 175829683 What are the prime factors of 18753597? 3, 2083733 List the prime factors of 1502295212. 2, 11, 34143073 What are the prime factors of 169088332? 2, 7, 797, 7577 What are the prime factors of 319603026? 2, 3, 17, 29, 103, 1049 What are the prime factors of 22940549? 241, 95189 What are the prime factors of 52088947? 191, 272717 List the prime factors of 9638283. 3, 223, 14407 What are the prime factors of 308283622? 2, 47, 69779 List the prime factors of 60627854. 2, 7, 2081 What are the prime factors of 2060510150? 2, 5, 53, 777551 What are the prime factors of 4531400253? 3, 2389, 23417 What are the prime factors of 234750592? 2, 29, 63241 What are the prime factors of 5507361629? 7, 11, 47, 1521791 List the prime factors of 573034877. 317, 1087, 1663 What are the prime factors of 459921347? 179, 2569393 What are the prime factors of 59407247? 59407247 List the prime factors of 49986916. 2, 7, 83, 137, 157 List the prime factors of 231796494. 2, 3, 12877583 List the prime factors of 322971646. 2, 317, 1607 What are the prime factors of 655399696? 2, 7, 53, 15773 What are the prime factors of 1354669642? 2, 2017, 335813 What are the prime factors of 1404216607? 173, 1913, 4243 List the prime factors of 3799149945. 3, 5, 253276663 List the prime factors of 901096855. 5, 71, 2538301 List the prime factors of 1696367264. 2, 191, 277547 List the prime factors of 1255782141. 3, 137, 1018477 What are the prime factors of 1914362828? 2, 7, 47, 1454683 What are the prime factors of 947003634? 2, 3, 52611313 What are the prime factors of 1730518304? 2, 54078697 What are the prime factors of 14430073? 7, 41, 137, 367 What are the prime factors of 3476951017? 61, 56999197 List the prime factors of 92663238. 2, 3, 137, 139, 811 What are the prime factors of 341358159? 3, 29, 829, 4733 List the prime factors of 10876971. 3, 7, 61, 1213 List the prime factors of 608498121. 3, 7, 11, 53759 What are the prime factors of 2579977131? 3, 673, 1277849 What are the prime factors of 483245474? 2, 241622737 What are the prime factors of 141285820? 2, 5, 13, 543407 What are the prime factors of 3863648862? 2, 3, 103, 694651 What are the prime factors of 98371403? 13, 7567031 List the prime factors of 83733894. 2, 3, 127, 36629 What are the prime factors of 794786465? 5, 11, 17, 89, 9551 List the prime factors of 11748552. 2, 3, 59, 8297 List the prime factors of 229070449. 29, 7898981 List the prime factors of 164275659. 3, 18252851 What are the prime factors of 8953236658? 2, 19, 43, 131, 151, 277 List the prime factors of 2515454333. 7, 107, 367, 9151 What are the prime factors of 741023094? 2, 3, 7, 41, 653, 659 List the prime factors of 871183422. 2, 3, 443, 109253 List the prime factors of 426196901. 13, 32784377 What are the prime factors of 3563942820? 2, 3, 5, 29, 2048243 List the prime factors of 720875773. 37, 97, 353, 569 What are the prime factors of 6204972247? 103, 60242449 What are the prime factors of 9848098? 2, 13, 47, 8059 List the prime factors of 331876079. 1291, 257069 List the prime factors of 1090251283. 11, 43, 487, 4733 What are the prime factors of 46560793? 683, 68171 List the prime factors of 970187096. 2, 121273387 List the prime factors of 48357195. 3, 5, 3223813 List the prime factors of 2493636087. 3, 89, 227, 41143 What are the prime factors of 1169666356? 2, 109, 1579, 1699 List the prime factors of 2858195. 5, 523, 1093 What are the prime factors of 2156029601? 11, 196002691 What are the prime factors of 65011601? 65011601 What are the prime factors of 107862740? 2, 5, 1901, 2837 List the prime factors of 31610328. 2, 3, 31, 42487 List the prime factors of 2048434234. 2, 7, 11, 23, 578327 List the prime factors of 4867277680. 2, 5, 60840971 What are the prime factors of 3486872622? 2, 3, 31, 71, 229, 1153 List the prime factors of 865699970. 2, 5, 7121, 12157 What are the prime factors of 953139300? 2, 3, 5, 41, 77491 What are the prime factors of 450887663? 433, 1041311 List the prime factors of 13973916. 2, 3, 11, 105863 List the prime factors of 73495518. 2, 3, 107, 114479 What are the prime factors of 4564759? 4564759 List the prime factors of 402677759. 11, 17, 181, 11897 What are the prime factors of 295202480? 2, 5, 3690031 What are the prime factors of 876539066? 2, 13, 4729, 7129 What are the prime factors of 6169408947? 3, 13, 1733, 30427 What are the prime factors of 35953766? 2, 61, 294703 List the prime factors of 132161904. 2, 3, 7, 131113 List the prime factors of 104414818. 2, 52207409 What are the prime factors of 892579553? 41, 59, 71, 5197 List the prime factors of 29717373. 3, 7, 29, 6971 What are the prime factors of 1751687443? 11, 109, 1460957 What are the prime factors of 607461841? 7, 86780263 List the prime factors of 583789719. 3, 59, 3298247 List the prime factors of 1777871268. 2, 3, 19, 288803 List the prime factors of 4129012542. 2, 3, 113, 167, 36467 What are the prime factors of 51951245? 5, 10390249 List the prime factors of 647133846. 2, 3, 107855641 List the prime factors of 560666487. 3, 186888829 What are the prime factors of 2333151659? 16183, 144173 List the prime factors of 228388699. 7, 11, 167, 17761 List the prime factors of 4889496332. 2, 7, 587, 297487 List the prime factors of 35567057. 2729, 13033 List the prime factors of 698548253. 13, 139, 193, 2003 List the prime factors of 15819650. 2, 5, 7, 11, 587 List the prime factors of 981899415. 3, 5, 7, 346349 List the prime factors of 715295958. 2, 3, 13, 751, 12211 What are the prime factors of 27109618? 2, 19, 713411 What are the prime factors of 40881826? 2, 20440913 List the prime factors of 69298069. 17, 43, 47, 2017 What are the prime factors of 68824701? 3, 11, 97, 2389 What a
{ "pile_set_name": "DM Mathematics" }
. 3/2 Evaluate ((-1056)/10)/(-11) + -9. 3/5 What is -2 + (-1)/((-6)/8)? -2/3 Evaluate (-12)/42*(-49)/91. 2/13 (0 - 10/105)/(1/(-3)) 2/7 What is 11/(-22)*8 - 23/(-6)? -1/6 266/76*(15/14)/5 3/4 (-4)/(-2) - (-125)/(-25) -3 Evaluate 1/(8 + (-341)/33). -3/7 (6 + -2)/(5 - (8 + -1)) -2 Calculate 5/63*(-48)/(-40). 2/21 (-4)/(-72)*4 - 5/(-18) 1/2 Evaluate (8/(-10))/(4*(-10)/(-100)). -2 What is the value of -5 + 0 + (-925)/(-175)? 2/7 What is the value of 5 - ((-3)/16)/(51/(-1258))? 3/8 Evaluate -5 + ((-6)/(-24)*3 - -5). 3/4 What is 216/(-270)*60/(-8)? 6 Evaluate -3 - (-71 - -73)*(-2)/(-4). -4 Evaluate 3*10/(-9) - (-21)/63. -3 ((-4)/24)/((15/(-10))/(-3)) -1/3 Calculate (-122)/18 - (130 + -137). 2/9 Evaluate (-210)/(-56) - ((-5)/4 - -1). 4 384/144*12/40 4/5 What is 1/(-3)*(-9)/(0 + -1)? -3 Evaluate (-3)/(-12) - 242/(-88). 3 Evaluate -1 - 137/(-70) - (-1)/(-10). 6/7 (41/(-328))/(2/(-4)) 1/4 What is (-24)/135 - 2/(-5)? 2/9 What is the value of 1620/(-468) + 18/39? -3 Evaluate -9*1/2 + 4. -1/2 Calculate (-3)/(36/24*(-70)/(-15)). -3/7 What is ((-1)/(-13))/(-71 + 70)? -1/13 What is the value of (497/355)/(1/(-10)*2)? -7 Calculate (-3 - -2)*(-2 + 28/4). -5 Evaluate 5 + (0/(-3) - 0). 5 Evaluate (-980)/420*18/(-7). 6 Evaluate (17/68)/((-14)/16). -2/7 (-15)/42*(-28)/35 2/7 Calculate (-465)/90 + 3/18. -5 Calculate (45/(-18))/((-6)/(-4)). -5/3 (-18)/(-10)*(-210)/(-126) 3 What is 80/(-30)*9/6? -4 (-4)/6*(-30)/(-40) -1/2 Calculate 5*((-231)/35 + 8). 7 Calculate 5*6/(-150)*-15. 3 Evaluate (-2)/(-4 + 3 + 6). -2/5 What is the value of (-203)/42 + (-1)/6? -5 What is the value of (3 + 10/(-6))*-3? -4 What is 36/10 + 3*20/(-15)? -2/5 (-2)/(12/(-2))*(-48)/(-8) 2 What is the value of ((-32)/(-20))/(-4) + 1 + 0? 3/5 What is 3/(175/10 - 14)? 6/7 What is 3/2 - (-70)/(-35)? -1/2 Evaluate (-1 - 0)*((-8)/(-14))/4. -1/7 What is the value of -4 + (-822)/(-210) + 3/(-15)? -2/7 What is 6 - 29/((-1914)/(-360))? 6/11 What is the value of 0 - (4/6)/((-60)/(-9))? -1/10 Evaluate (2/8)/((-189)/108). -1/7 Evaluate (-1)/(-5) - 189/270. -1/2 What is the value of 1/(-3)*4 + (-37)/(-21)? 3/7 Evaluate (-4 - -2)*2/16. -1/4 What is the value of (-5 - 0 - -2) + (-28)/(-9)? 1/9 What is 7 - (-1 + 2) - (-2 + 1)? 7 Calculate (-2)/(-8) - 4/(8 - 4). -3/4 Evaluate ((-8)/(-60)*-3)/(275/(-125)). 2/11 2 + 2 + -11 + 6 -1 Evaluate (6/(-12) - -1)/2. 1/4 Calculate 1*(168/(-32) - (-1)/4). -5 15 + -15 - 1/4*1 -1/4 Calculate ((-16)/(-10))/(14/35). 4 Evaluate 111/168*-1 - (-4)/14. -3/8 What is the value of -5*(-1)/(-4) - -1? -1/4 What is the value of (10/15 + -1)/(2/6)? -1 What is the value of (-5 + -4 + 2)*4/14? -2 Evaluate 1 - (-1)/((-2)/(-3)). 5/2 Calculate ((-1)/3)/(4 + 0 + -3). -1/3 Evaluate (160/(-200))/(4*1). -1/5 What is the value of (-11 - 559/(-39))*9/(-5)? -6 3/2*16/(-24) -1 What is (-22)/(-110)*-4*(-3 - 2)? 4 What is the value of (1/6)/(1*(-20)/(-16))? 2/15 Evaluate (0 - 1)*(-19 - -18). 1 Calculate -5*((-460)/1925 + 4/22). 2/7 What is the value of 2/(-3)*99/154? -3/7 Evaluate 8 + -5 + 7/(-1). -4 Calculate 128/(-252) - (-6)/27. -2/7 What is 0*(-8)/(42 + -2)? 0 Evaluate 42/(-105) + (-26)/60. -5/6 What is the value of -5*(-3 - -2) - 10? -5 What is ((-196)/24 - -9)*(-6)/(-15)? 1/3 What is the value of 14/4 - 1050/(-140)? 11 What is (-4 - (-168)/45)*(-5)/2? 2/3 What is the value of -4*8*(-1)/(-32)? -1 Evaluate ((-12)/21)/(26/273). -6 Evaluate (1 - (-218)/(-234)) + 22/(-99). -2/13 (-6 - -1 - -6) + 28/(-16) -3/4 8/(128/52) - 4 -3/4 What is (-24)/16*60/105? -6/7 What is (-31)/(-21) - 8/6? 1/7 Calculate 85/51*(-1)/5*-15. 5 Evaluate (4/(-5))/(2158/(-415)). 2/13 What is the value of 5/(-15)*-1 + (-34)/(-6)? 6 Evaluate (-2)/(-6) + (-2)/(-42)*2. 3/7 1/2 + (-2)/(-8) 3/4 Calculate ((-7280)/77)/(-10) + -10. -6/11 (7/((-98)/(-24)))/(4/14) 6 2 - 62/30 - 6/(-9) 3/5 Calculate -2*(-4 + 36/8). -1 4/(-6)*(4/(-8) - -1) -1/3 Evaluate (2/44)/((-2)/(-8)). 2/11 What is the value of 2*((-3)/(-4))/(6/(-4))? -1 Evaluate ((5/(-1))/(10/(-4)))/2. 1 What is the value of (-21)/6 - (-2)/8*-6? -5 What is 47/5 + 5*(-6)/75? 9 (-648)/(-72) - -1*(1 - 1) 9 Evaluate (-32)/14 - (-52)/182. -2 What is ((-3)/6)/(4 + -2)? -1/4 Evaluate 2/7 + ((-576)/(-140))/(-6). -2/5 Evaluate 4/(-22) + 40 + -40. -2/11 Calculate 1/8 + (-725)/232. -3 What is (1/(-6)*2)/((-159)/106)? 2/9 Evaluate (-1)/7 - 43/3913. -2/13 Evaluate -38 + 30 + 27/3. 1 Calculate ((-26)/6 + 4)/(8/(-6)). 1/4 Evaluate 6/(-3) - (-25 + 20). 3 (-1)/(1/(3 + 8/(-2))) 1 15/10*8/(-6) -2 (-253)/66 - (3 + 92/(-24)) -3 (-12 + 13)/(-4 - -3) -1 What is the value of (-7)/(-49)*3*4/6? 2/7 Calculate ((-6)/(-24))/(1 + (-15)/24). 2/3 Evaluate (-14)/6 - 26/(-78). -2 Evaluate ((-4)/(-5))/((-17)/17). -4/5 What is the value of 16 - 11 - (7 + 4)? -6 (12/8)/((-2)/4) -3 Calculate (3 - (-44)/(-12))*18/12. -1 What is (1/4 + 0)/((-7)/(-56))? 2 Evaluate 16/(-4) - (1 + -1). -4 What is the value of ((-156)/(-130))/(6/(-15))? -3 6*((-4)/90)/(-2) 2/15 Calculate ((-5 - 0)/(-5))/(-1). -1 What is the value of 4/(-20) - (0 - (-18)/(-15))? 1 What is (-64)/(-12) + (-3)/9? 5 Evaluate 141/47*(-1)/(-7). 3/7 Evaluate -6 - (3 - (-3 + 7)). -5 Calculate 4/(-16) - (-147)/28. 5 Calculate 0/1 + (4 - 1). 3 -4 + 1 + 5 + (-20)/8 -1/2 What is (4/6)/(15/(1800/16))? 5 Evaluate 8/(-60)*(33/(-6) + 4). 1/5 Calculate (15/(1575/60))/(172/14). 2/43 Evaluate (-20)/(-250)*-5*(-10)/14. 2/7 What is the value of 54/315 + (-3)/(-7)? 3/5 What is the value of (-8)/(-18)*(-1)/(-2)? 2/9 What is the value of 7/14 + 2/4 + 3? 4 What is the value of 62/30 + (-272)/(-24) + -13? 2/5 Evaluate (42/(-35))/((-2)/(-5)). -3 What is the value of 6/(-39) - 3/((-117)/123)? 3 What is (130/65)/((0 + -18)/(-3))? 1/3 6 - 1/(6/30) 1 What is the value of (168/(-280))/((-2)/10)? 3 Calculate (-2)/9*(4 - 19 - -6). 2 What is the value of (-55)/(-15) + 1/3? 4 What is the value of (1 - (-8 - -3))/2? 3 98/(-980) - 9/10 -1 What is the value of (3/2)/((-363)/(-44))*-1? -2/11 What is the value of (3/2)/((-26)/(-8) - 4)? -2 Calculate 3/(-3)*(-2)/4*-2. -1 What is the value of 5 - (3 - (-5 + 2))? -1 What is the value of (-1)/28 - (-54)/189? 1/4 9/(-378) - 2/(-12) 1/7 What is ((-2)/10)/1 - (-39)/65? 2/5 Evaluate ((-6)/(-15))/((-10)/(100/(-6))). 2/3 What is the value of (2/8)/(((-1296)/(-256))/(-27))? -4/3 What is the value of 253/690 - (-1)/(-6)? 1/5 What is (-12*(-2)/9)/((-4)/(-6))? 4 What is (154/198)/((-7)/(-3))? 1/3 What is the value of 441/343 - 4/14? 1 (-10)/10 + 4/5 -1/5 What is the value of (-15)/(-56) - 46/322? 1/8 Calculate 104/110 + (-150)/375. 6/11 What is 20/90 + 102/27 + -1? 3 What is 1 - 11 - (-20)/4? -5 Evaluate (-74)/(-20) + (-9)/45. 7/2 Evaluate 8509/(-1016) - 3/(-8). -8 What is the value of (-21)/5 - (-7)/35 - -7? 3 Calculate 1*(-3 - (-38)/12). 1/6 Calculate ((-4)/(-5))/((-14)/70). -4 Evaluate 2*(1595/160 - 10). -1/16 Evaluate -6*(-6)/84 + 32/7. 5 What is the value of (2 - 2)*(3/6)/1? 0 Calculate (-6)/22 + (-315)/1155. -6/11 3 - ((-195)/(-30) - 1*3) -1/2 4/(-6)*3 + (-276)/(-46) 4 (-6)/(-33) - 472/176 -5/2 What is ((-6)/(-10))/((-576)/(-240))? 1/4 What is (-3 + -2)*(-2)/8? 5/4 (8/4 - 6) + 5 1 What is 6/14 - (-93)/(-217)? 0 What is (-472)/413*1/4? -2/7 Evaluate 3/(-6)*0/1. 0 Calculate (-12 + 210/10)/(-3). -3 Evaluate (24/20)/((-14)/5). -3/7 2 - -3 - (2 - 1) 4 What is (9/(-6))/((-6)/(-4))? -1 What is 60/10 - -2 - (4 - 2)? 6 4/(-6) - ((-20)/4 - -5) -2/3 Evaluate 2*1 + (-36 - -36). 2 Evaluate 6 - (15/204*148 - 5). 2/17 Calculate (7 + -4)*(-3 + 1). -6 Evaluate (-3)/22*(-212)/(-318). -1/11 (-6 + 3 - -8) + -2 - -2 5 Calculate (-144)/45 - (-7)/(-14)*-6. -1/5 Evaluate 9/(504/(-16))*3/(-9). 2/21 Evaluate (4 + 5 - 4)/1 + -3. 2 Calculate (-10)/6 - -2 - (18 + -18). 1/3 Calculate (-378)/28 - -5 - 6/(-4). -7 Calculate (-21)/(-35) + 33/(-30). -1/2 Evaluate 415/83 + ((-1)/(-1) - 7). -1 Evaluate 3*(3 + 5 + -11). -9 Calculate 12/3*(-7)/(-126)*3. 2/3 What is 6*(12/(-36) + (-12)/(-38))? -2/19 2 - (1 + 1)*(61 - 62) 4 (35/(-14) - -4) + 2/(-1) -1/2 What is the value of (3/1 - 1)/(10 - 18)? -1/4 Calculate -2*3 - 33/((-1716)/304). -2/13 What is -2*(3/(-12))/(2/(-4))? -1 What is (-15)/10*11/(55/(-20))? 6 (-3)/(2142/(-246)) + 8/(-136) 2/7 Evaluate (-62)/33 + (-618)/(-1133). -4/3 Evaluate ((-14)/231)/(2/6). -2/11 What is 11 + (2 + 0)*-3? 5 (2/12)/((-7)/28) -2/3 What is 168/40 - (3 + 2)? -4/5 Evaluate 6/30
{ "pile_set_name": "DM Mathematics" }
*b + 2 = -5*m + 14, 2*m = b - z. Let g(i) = 2*i - 5. Let y be g(5). Solve -y = -b*v - 20 for v. -5 Suppose 0 = 6*q - 13 - 11. Solve n - q*n = 3 for n. -1 Let z be -1 - 41*(-1 + 0). Suppose 4*o - z = -o. Solve 3 = -u + o for u. 5 Let a(r) = r**2 + 11*r - 14. Let h be a(-13). Solve h = 2*t + t for t. 4 Let f(t) = -t + 2. Let m be f(0). Let w(p) = -4*p - 2. Let c be w(m). Let h(g) = g**2 + 9*g - 7. Let l be h(c). Solve 17 - 2 = -l*a for a. -5 Suppose 10 = -w + 3*o - o, -18 = w + 2*o. Let c = -12 - w. Solve -7 = -c*h + 3 for h. 5 Let i(m) = m**2 + m + 1. Let l(k) = 3*k**2 - 5*k + 9. Let n(s) = 2*i(s) - l(s). Let q be n(7). Let o be 4*(-1)/(-2) - q. Solve -o = -2*w - 3 for w. 3 Let h(j) = -2 - 15 + 5 + j**2 - 6*j. Let u be h(9). Solve -u = 2*l - 7*l for l. 3 Suppose 3 = -5*w + 43. Let y be (-1)/((-56)/560*(0 + 2)). Solve -y*j + w = -j for j. 2 Let n(z) = 2*z**2 - 16*z + 3. Let b be n(8). Solve 6*d - b*d = 0 for d. 0 Suppose 0 = g - l - 2, -4*l = -0*l + 8. Suppose g = -2*f - 3*i + 12, -4*f + 2*f + i + 4 = 0. Solve -3 = -6*a + f*a for a. 1 Suppose -r + 15 = 2. Let j = -9 + r. Let n = 6 - j. Solve 3*g = -n*g - 5 for g. -1 Let u(p) be the second derivative of -p**3/6 + p. Let a be u(-1). Suppose 7 = 4*f - a. Solve f*c = -2*c for c. 0 Suppose 3*h - 3 = -5*i + i, -2*h = -3*i + 15. Let j = -1 - h. Solve 0 = -j*l + 6 + 2 for l. 4 Suppose 0 = -u - u. Solve -20 = 5*i - u*i for i. -4 Let n = -43 - -18. Let a = -25 - n. Solve a = 6*s - s for s. 0 Suppose -3*q - 5 + 14 = 0. Solve 0*g + q*g = -12 for g. -4 Let x = -12 + 20. Solve m = 3*m + x for m. -4 Let w be ((-22)/(-3))/((-4)/66). Let k be 4/22 - (-22)/w. Solve -6*c + 3*c = k for c. 0 Let n be (6/(-8))/(2/(-24)). Solve -n = 3*j + 6 for j. -5 Let h = 4 + -8. Let a = 5 + h. Solve w + 3 + a = 0 for w. -4 Suppose -8*m = -4*m. Let u(a) = -a**3 - a**2 - a + 10. Let x be u(m). Let s = x + -10. Solve s*q - 4 = 2*q for q. -2 Let u = -10 - -14. Let o = -44 + 51. Suppose -3*h = k - 14, 5*h + u*k - 35 = -o. Solve -h*b - b + 15 = 0 for b. 3 Suppose 0 = 5*a + 10, 0*r + 3*a = 5*r - 81. Suppose g = 5, -5*b - 2*g = -4*g - r. Let t(d) = d**3 + 4*d**2 + 4. Let v be t(-4). Solve b = -c + v for c. -1 Suppose -3*u - 10 = 2*u. Let w(j) = -2*j**3 - 2*j**2 + 3*j + 3. Let x be w(u). Suppose 2 = -x*c + 7. Solve 0 = 2*k + 7 - c for k. -3 Let c = 31 - 26. Solve 0*j = j + c for j. -5 Let c = 8 - 5. Let j = -135 - -137. Solve -c*u = -j*u + 4 for u. -4 Suppose 4*t - 19 = -3. Suppose 0 = -m - 3*r - 9, -2*m - 5*r - 14 + 0 = 0. Solve m = t*j - 5 for j. 2 Suppose -3*x + 3*z + 21 = 0, 5*x - 15 = z + 8. Suppose 5*p = -4*g + 36, 45 = 5*g - 0*g + 3*p. Solve -x*q + 5 = -g*q for q. -1 Let p be (-4)/6 - 132/(-36). Solve p*y + 13 - 1 = 0 for y. -4 Let p be 3 - (4/2 - -18). Let t = 19 + p. Solve -2*s + 4 - t = 0 for s. 1 Let q be 6/4*16/12. Solve 2 = q*r - 8 for r. 5 Suppose -26 = -10*h + 14. Solve -2 = -3*d + h for d. 2 Let q(b) = 2*b - 4. Let s be q(5). Suppose -n + 4*g = -18, 3*n + s = -2*g - g. Let p be (6/(-8))/(n/(-8)). Solve -4*u + u = p for u. -1 Suppose -4*p - 7 = 2*r - 17, 2*r + 3*p - 10 = 0. Solve -3*c - 2*c = r for c. -1 Suppose 3*w - 4 = 2*v, 0*w = 5*w - 20. Suppose i = v*i. Solve f - 4*f = i for f. 0 Let v = 2 + -4. Let l be (-24)/v*(-4)/(-6). Solve l = -2*i - 2 for i. -5 Let m(a) = -a - 5. Let f be m(-5). Suppose -5*x + 4*x + 2 = f. Suppose 0*j - 3*j = -3*c - 18, -c - 5 = 0. Solve -x*p = -3 + j for p. 1 Let u be 6/(-2) - -2 - -1. Solve u = -v + 3*v + 2 for v. -1 Suppose -s = -2, s + 39 = 5*q - 2*s. Solve -5*v = -q - 16 for v. 5 Let d be (-229)/(-11) - 8/(-44). Let o = -13 + d. Solve -z - o = -3*z for z. 4 Let k(c) = -c. Let s(m) = -2*m + 1. Let r(t) = -7*k(t) + 4*s(t). Let d be r(-4). Solve y + y + d = 0 for y. -4 Let h = -10 + 22. Solve -a - 3*a = -h for a. 3 Suppose -4*z = -3*l - 9, -2*z = -z + 4*l + 12. Let n be 2 + 0/(z - 2). Let d = 1 + 1. Solve -6 = -n*v - d for v. 2 Let g be (-12)/(-8) + 3/2. Let u be -1 + 6/(5 - g). Suppose 0 = u*f + f. Solve f = -5*p - 4 - 6 for p. -2 Suppose 0 = 10*k - 13*k. Solve -2*d + 7*d + 15 = k for d. -3 Let y be ((-4)/5)/(8/(-180)). Let f be 184/y + (-2)/9. Suppose -3*z = 2*a + 2, 2*z - z = 4*a - f. Solve a*j = -3 + 1 for j. -1 Suppose 0 = -3*g + q + 17, 3*g + q = 10 - 3. Suppose 4*a + o + 0*o = -10, -4*a = -g*o. Let n(u) = u**2 + 2*u + 2. Let l be n(a). Solve -9 = l*y + y for y. -3 Let l(d) = -4*d - 62. Let r be l(-17). Solve -5*w = -2*w + r for w. -2 Suppose -3*i - 5*b = -b + 2, 44 = 4*i - 4*b. Let r(o) = -o**3 - 2*o**2 - o - 3. Let g be r(-3). Solve i = 5*w - g for w. 3 Let s = 94 + -76. Solve s = 5*p - 2 for p. 4 Let s be (-10)/35 + 6/21. Solve 10 = -s*n - 2*n for n. -5 Suppose 20 = 6*b + 14. Solve 0*f - f = -b for f. 1 Let m(i) = -i**2 + i + 4. Let t be m(2). Solve t = 3*r - r for r. 1 Let u be (-2)/(-5) + 10/(-25). Suppose -p - 2*p = u. Suppose -2*w + 2*r = 2, p*w + r - 13 = -2*w. Solve -w*t - 15 = t for t. -3 Let f(q) = q**2 + q - 3. Let x(g) = -4*g + 5. Let y be x(2). Let h be f(y). Solve 3*o - 2*o + h = 0 for o. -3 Let y(d) = d - 2. Let g be y(-2). Let m be (-4)/((-1 - -3) + g). Suppose -5*h + 8 = -3*t - 11, -m*t = -h + 1. Solve 0*k = t*k for k. 0 Let q = -10 + 10. Solve -4 = -q*s + s for s. -4 Let y be 12/15*(0 + 5). Suppose -5*m + 43 = 3*b - 10, -y*b = -5*m - 24. Solve b + 1 = 4*h for h. 3 Let t(n) = -n**2 - 6*n - 5. Let g be t(-4). Suppose -4*y + 7 = -2*a - 3, -20 = -4*y + 4*a. Suppose y = 3*c - 2*c - 1. Solve -z = c - g for z. 2 Let s be 1*2/(2/3). Suppose -s*f = -5*f + j + 11, 2*f = -4*j + 16. Solve r = f*r for r. 0 Let y(k) = -k**3 - 3*k**2 - 2*k + 1. Let p be y(-2). Let r = p - -3. Solve r*m + 5 = -m for m. -1 Let h be (-65)/(-9) - (-14)/(-63). Let u(s) = -s + 10. Let j be u(h). Let w(t) = -3*t - 6. Let o be w(-6). Solve j*i + i + o = 0 for i. -3 Let h be ((-6)/10 - 6/(-10))*-1. Solve h = d - 0*d + 1 for d. -1 Let m be 1 - -1 - (14 + -17). Solve -m*b + 4 = -1 for b. 1 Let g(d) = -2*d + 0*d + 3 + 3*d + 0*d. Let k be g(-3). Solve u + 0 - 1 = k for u. 1 Let n(u) = -u**2 + 6*u + 6. Let o be n(7). Let m = o - -1. Suppose m*a = -a. Solve 10 = -a*y - 2*y for y. -5 Suppose 3*u - 2*u - 6 = 0. Let o be 36/4*2/u. Solve -o - 17 = 4*c for c. -5 Let a(j) = -j - 1. Let l be 1 + -3 - (-1 - 1). Let s be a(l). Let z be s + 1 - (1 - 4). Solve -6 - 9 = -z*r for r. 5 Let p = -22 - -14. Let v = p - -13. Solve v*k + 20 = k for k. -5 Let d = 28 + -15. Let a(w) = -w**2 - 9 - 2 + 0 - 3 + d*w. Let x be a(10). Solve 6 = -5*k + x for k. 2 Let t = 2 + 0. Suppose 3*w - 5*p = -0*w - 10, -4 = -3*w - t*p. Solve -x - 1 - 3 = w for x. -4 Let v = 60 + -57. Solve v*c = -c + 4 for c. 1 Suppose -5*d + 30 = -4*a, -3*d - 3*a = 10 - 1. Solve 0 = d*r - 6*r + 16 for r. 4 Suppose -2*s + 46 = -0*s. Suppose 5*n + 8 = s. Solve i - 8 = n*i for i. -4 Let j be (5/10)/((1/6)/1). Solve j*a - 13 = -4 for a. 3 Let b = 31 + -31. Let d = 3 + -1. Suppose -3 = -4*w + h, 0 = 6*w - d*w - 2*h + 2. Solve -w*g + 3*g + 2 = b for g. -2 Suppose -16 = 6*w - 10*w, v + 12 = 3*w. Let l be (2 + -4)*2/(-4). Let n = 2 - l. Solve -s + 3 - n = v for s. 2 Let y be 1*(0/1)/3. Solve y = v - 1 - 1 for v. 2 Suppose -d + 4 = 2. Let r = -17 + 22. Let b be 6/r*30/12. Solve -d*w - b = -7 for w. 2 Let l be 4 - (-3)/3*81. Suppose 4*d + 2*v = 50 + 40, 0 = -4*d - 3*v + l. Solve d = -0*a - 5*a for a. -5 Suppose -5*a = -3*c - 14, 4*a + 10*c = 5*c + 26. Suppose 5 = -w - 5*u, -w + a*u = 4*w - 4. Suppose -d = -2*d + 2. Solve w = -d*p + 4*p + 8 for p. -4 Let b(v) = -2*v - 17. Let i be b(-12). Solve i*s - 20 = 2*s for s. 4 Let w be 9 - 0*(-1)/(-1). Suppose w = -t + 4*t. Solve t = -5*r - 17 for r. -4 Let j(t) = 2*t**2 + t. Let o be j(1). Suppose 4*r + r = 5. Solve -r - o = 4*n for n. -1 Let o(q) = 2*q + 8. Let d be o(-4). Solve 5*t + 37 - 12 = d for t. -5 Suppose -4*u + 3*u = 0. Suppose 4*i = -p + 3*p + 34, 3*i = 2*p + 26. Suppose -3*z = -2*a - 27 + i, u = -5*z + 5*a + 30. Solve -z*l = -4*l + 15 for l. -5 Let s(v) be the first derivative of v**4/4 - 4*v**3/3 - 3*v**2 + 7*v - 3. Let p be s(5). Solve -p = -2*b - 0*b for b. 1 Suppose 0 = -5*n - v + 49 + 23, 3*n = -4*v + 33. Solve -w - n = 2*w for w. -5 Let w be -3 + (2 - (2 + -7)). Suppose 0 + w = f. Solve -f*x = -0*x for x. 0 Suppose 3*x + 2 = x - 2*v, -v + 2 = 2*x. Solve -x*h = -5*h + 10 for h. 5 Let i = 0 - 0. Let z be 2 + (1 - (-
{ "pile_set_name": "DM Mathematics" }
onvert -15450131 (base 6) to base 7. -4452664 What is 4524142 (base 7) in base 16? 88ef4 What is 1431334303 (base 5) in base 11? 2150069 Convert 54006672 (base 8) to base 5. 10423202400 Convert 3225c (base 13) to base 14. 24d9a What is -4380a (base 11) in base 10? -63535 What is -18494 (base 13) in base 10? -46934 Convert -100010001111110011001011 (base 2) to base 16. -88fccb What is 4b541 (base 13) in base 3? 21002002121 What is 638078 (base 9) in base 14? 9c624 Convert -79597a (base 12) to base 7. -22322353 -624615 (base 9) to base 10 -370832 What is 172323 (base 10) in base 9? 282340 2321200030 (base 4) to base 10 759820 Convert 55604 (base 14) to base 6. 4234124 What is -22021000221210 (base 3) in base 16? -42fc75 Convert 16817a (base 12) to base 11. 244aa0 -5505043 (base 6) to base 4 -1002231303 What is 1388511 (base 10) in base 4? 11102333133 177814 (base 11) to base 9 456564 Convert -2243012 (base 5) to base 6. -510542 457473 (base 9) to base 14 7206a What is -2811942 (base 13) in base 3? -212211000011200 -102210232 (base 4) to base 12 -3803a What is 22011011211200 (base 3) in base 2? 10000100010000011011100 Convert 366624 (base 9) to base 7. 1611316 -17901 (base 14) to base 16 -e7fd Convert -30505251 (base 6) to base 10. -879871 What is 201203123 (base 4) in base 7? 1111454 1c63528 (base 13) to base 3 122210200021101 What is 41c01 (base 13) in base 11? 81010 Convert 10101010011101111010000 (base 2) to base 9. 11453334 Convert -15437251 (base 8) to base 11. -2008a05 -6504102 (base 8) to base 10 -1738818 Convert -175748 (base 12) to base 2. -1100010100011101000 55416a (base 12) to base 6 45013014 Convert -370181 (base 11) to base 16. -8f07a Convert 34351aa (base 11) to base 2. 10110111011001101101010 70684 (base 9) to base 16 b599 Convert -117511 (base 8) to base 2. -1001111101001001 What is 10223303424 (base 5) in base 12? 372a934 What is -4c988 (base 14) in base 15? -3aca1 Convert 153533043 (base 6) to base 11. 1929358 Convert -26a9046 (base 12) to base 15. -a1cd86 -18051b5 (base 12) to base 6 -254505145 Convert -112854 (base 10) to base 15. -23689 What is -e3db (base 16) in base 5? -3331311 1b83b21 (base 12) to base 16 59f689 Convert -37975 (base 13) to base 9. -165757 What is 83d96e (base 15) in base 12? 212617b 1323838 (base 11) to base 6 121021114 Convert -225609 (base 12) to base 2. -10000101111100101001 Convert 12254264 (base 7) to base 6. 35412132 f5f6b (base 16) to base 3 1220011222121 What is -1d87a (base 16) in base 13? -43092 Convert 101001101 (base 3) to base 16. 1c9f What is 31ab (base 12) in base 10? 5459 Convert 49cdeb (base 16) to base 6. 251400443 Convert 6005736 (base 8) to base 16. 180bde Convert 10110010010110001100110 (base 2) to base 15. 7a689a -12500456 (base 7) to base 3 -2011002001112 Convert -2043145 (base 6) to base 14. -28225 Convert 779b43 (base 14) to base 16. 3df5af Convert 53501 (base 6) to base 9. 11021 What is -56861 (base 9) in base 6? -451214 Convert -2a310d (base 16) to base 7. -32334266 What is 111101000011011101001 (base 2) in base 10? 2000617 Convert 10572544 (base 9) to base 2. 10011100011011110011100 Convert -53333241 (base 6) to base 15. -20e724 Convert -368165 (base 12) to base 11. -554977 -545583 (base 13) to base 2 -111100100000010110110 What is -101001110101110001100 (base 2) in base 4? -11032232030 What is -792197 (base 10) in base 4? -3001122011 -2cc25 (base 13) to base 11 -592a9 -200222012100 (base 3) to base 7 -3113415 132310222333 (base 4) to base 6 445103411 What is b67515 (base 12) in base 13? 79843a -297da (base 15) to base 8 -404435 What is -1011110100100010111 (base 2) in base 14? -a123d Convert -27899 (base 11) to base 5. -2232200 What is -36d406 (base 16) in base 12? -12534b2 -2ab29 (base 16) to base 11 -10a440 Convert -1001100000011000011 (base 2) to base 13. -aba1b What is f6c67 (base 16) in base 6? 33355331 Convert -92221 (base 10) to base 15. -1c4d1 Convert -10530034 (base 6) to base 14. -8587c -23834 (base 13) to base 16 -fe54 What is -63895 (base 12) in base 14? -35997 255525233 (base 6) to base 2 10011001101001101010101 -172a78 (base 11) to base 16 -414e7 What is 180483 (base 14) in base 11? 528718 Convert -371138 (base 9) to base 13. -7abc7 -2130130142 (base 5) to base 6 -241121213 Convert -17860e (base 15) to base 7. -12464531 What is 12322333 (base 4) in base 14? a491 Convert 21cea6 (base 16) to base 13. 5c7600 Convert 260330 (base 10) to base 8. 774352 What is 20026216 (base 7) in base 11? a2a799 Convert -f3703 (base 16) to base 5. -223401443 Convert -13635625 (base 7) to base 13. -3607a5 What is -140343340 (base 5) in base 2? -10101110101011001110 -114761 (base 12) to base 5 -32340221 What is -11100001110100000001001 (base 2) in base 3? -111220221010002 175255 (base 13) to base 15 b795d What is -70ffc4 (base 16) in base 7? -116642255 What is 1193e7 (base 15) in base 4? 3031120303 450032 (base 8) to base 3 21200221000 Convert 24048173 (base 9) to base 2. 101100101110010010010101 Convert -222c8 (base 14) to base 10. -82888 -1101000100101111100100 (base 2) to base 5 -1334133200 What is a41731 (base 14) in base 15? 7454ad Convert 1001220210102 (base 3) to base 8. 2127556 What is -1063033 (base 7) in base 11? -91008 Convert 200210221202000 (base 3) to base 16. 988ede Convert 155185 (base 12) to base 6. 11425045 What is -11200120110 (base 3) in base 14? -258ab Convert -4a8286 (base 11) to base 15. -10c79d 3472442 (base 8) to base 13 27235b Convert 1038b (base 15) to base 10. 51431 535141 (base 11) to base 7 10163424 -14454024 (base 7) to base 16 -14fa2a 116472 (base 10) to base 8 343370 Convert -767b86 (base 12) to base 2. -111001010111111010110 Convert -100100011101010000 (base 2) to base 9. -246750 What is -213068 (base 9) in base 12? -61538 What is 87166 (base 9) in base 4? 32012010 2330124 (base 6) to base 4 131130010 What is -42020210 (base 5) in base 3? -122112022211 -7ac73 (base 14) to base 9 -504785 What is -31131031 (base 8) in base 15? -8a54b3 121133030033 (base 4) to base 8 31371417 1027413 (base 9) to base 8 2062162 7a2c3b (base 13) to base 10 2891133 -5235b (base 13) to base 10 -147782 Convert -211212301 (base 4) to base 7. -1211035 Convert 100001001101011000011110 (base 2) to base 5. 4212034231 What is -84b1a (base 12) in base 16? -2a946 Convert -60b09 (base 14) to base 8. -706325 Convert 1211541 (base 6) to base 4. 33212311 What is -571187 (base 13) in base 3? -10212121020102 What is -26341100 (base 7) in base 15? -32a132 What is 141442431 (base 6) in base 5? 1214223044 What is 31325104 (base 6) in base 4? 3133001200 What is -15476a0 (base 14) in base 16? -9e950c -430515 (base 7) to base 12 -37280 -94635 (base 11) to base 15 -2aca7 -25042410 (base 7) to base 6 -120045200 Convert -1451507 (base 10) to base 5. -332422012 What is -120672 (base 9) in base 10? -72722 What is 412893 (base 12) in base 16? f936f Convert 81a46 (base 14) to base 3. 120212010001 -1273316 (base 8) to base 12 -153292 What is 10000303031 (base 4) in base 3? 1222102212112 What is 373484 (base 10) in base 7? 3113606 Convert -18300b4 (base 12) to base 16. -4ce388 -1011000001101111101 (base 2) to base 16 -5837d Convert -1542545 (base 7) to base 10. -212252 What is -765434 (base 8) in base 12? -104738 Convert -103012302200 (base 4) to base 11. -2910aa2 62238 (base 10) to base 2 1111001100011110 What is 100121220033 (base 4) in base 7? 51354225 -1633552 (base 7) to base 11 -145609 Convert 101010111101001100110 (base 2) to base 9. 2574758 2022122110 (base 3) to base 16 b265 2135153 (base 8) to base 2 10001011101001101011 What is -4801603 (base 9) in base 3? -11220001200010 What is 44184 (base 10) in base 7? 242550 -11100011001110010110101 (base 2) to base 5 -3401230220 -15a93 (base 12) to base 10 -30927 What is 222220102010 (base 3) in base 9? 886363 Convert 502135 (base 8) to base 3. 22101021112 -103112130 (base 4) to base 5 -10014020 3303333301 (base 4) to base 6 33230521 -30140 (base 6) to base 15 -1283 -122221010222100 (base 3) to base 7 -143666466 What is -62553 (base 7) in base 16? -3c0f What is -10210212112 (base 3) in base 12? -37495 33310000 (base 4) to base 10 64768 -1221011221 (base 3) to base 5 -2204131 Convert -10b5408 (base 12) to base 10. -3223304 Convert -8bc16b (base 15) t
{ "pile_set_name": "DM Mathematics" }