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4*q(n). n**3 - 2*n**2 + 7*n - 5 Let u(s) = -31*s**2 + 7*s - 7. Let a(i) = 205*i + 16407. Let t be a(-80). Let m(g) = 16*g**2 - 4*g + 4. Let x be (-45)/(-12) - (-1)/4. Give t*m(y) + x*u(y). -12*y**2 Let t(b) = b**3 + b**2 - b - 1. Let q be (72/45)/(2/5). Suppose -5*r + q*r + 3 = 0. Let o(v) = -33 + 11*v + 36 - 5*v**2 - 4*v**r - 6*v. Give -2*o(i) - 10*t(i). -2*i**3 + 4 Suppose 0 = -170*s + 1252 + 788. Let o(b) = 32*b - 12. Let n(l) = -13*l + 5. Give s*n(q) + 5*o(q). 4*q Let g(k) = -51*k**3 + 4*k + 26. Let u(p) = 50*p**3 - 3*p - 24. Give -3*g(s) - 4*u(s). -47*s**3 + 18 Let r = 2724 + -2723. Let h(i) = i**3 - 4*i**2 + 6*i - 1. Let d(p) = -p**2 + p + 1. Determine r*h(a) - 6*d(a). a**3 + 2*a**2 - 7 Let n(d) = -8*d**2 - 724*d - 5. Let m(z) = -22*z**2 - 1450*z - 12. Determine -2*m(h) + 5*n(h). 4*h**2 - 720*h - 1 Let o = 3 - 7. Let n(d) = 3*d - 5. Let j(m) = m**3 + m**2 - 6*m + 5. Let y be j(-3). Let t(k) = 4*k - 2 - 4 + 2*k - 2*k. What is o*t(i) + y*n(i)? -i - 1 Let s(l) = 5*l + 26. Let p be 5 + 3 - (117/15 + (-20)/25). Let w(j) = j. Give p*s(a) - 4*w(a). a + 26 Let k(p) = 11*p**2 - 8. Let t(d) = 12 + 14 + 17 - 52 + 16 - 12*d**2. What is -5*k(l) - 6*t(l)? 17*l**2 - 2 Let j(u) = -2559*u**3 + 7*u + 49. Let z(r) = 3839*r**3 - 10*r - 70. What is 10*j(y) + 7*z(y)? 1283*y**3 Let n(h) = h - 3. Let g = -15 - -12. Let d(w) be the second derivative of w**3/2 - 7*w**2/2 + 1465*w. Give g*d(f) + 7*n(f). -2*f Let y = -953 - -959. Let i(v) = 2*v**3 + 7*v - 2. Let h(s) = -2*s**3 - 8*s + 2. Suppose -9 = 2*l - 23. What is l*i(f) + y*h(f)? 2*f**3 + f - 2 Let t(h) = 11*h + 5. Let x(s) = s - 4*s + 4 + 0 + 13*s. Suppose -102*i + 55 = -107*i - 5*u, 5*u = 3*i + 1. Calculate i*x(m) + 6*t(m). -4*m + 2 Let o(s) = 7*s**3 + 16*s**2 - 15*s - 7. Let t(a) = a**3 + 2*a**2 - a. Give o(g) - 5*t(g). 2*g**3 + 6*g**2 - 10*g - 7 Let h(l) = -18*l + 1. Let u(c) = -105*c + 605. Calculate -6*h(z) + u(z). 3*z + 599 Let a be (5/(-20))/(2/(-56)) + -3. Suppose -a*u - 67 = -59. Let o(v) = 2*v**2 - v + 1. Let l(n) = -2*n**2 + n - 2. What is u*l(p) - 3*o(p)? -2*p**2 + p + 1 Let y(v) = -544*v + 690. Let x(c) = 109*c - 130. Calculate 16*x(j) + 3*y(j). 112*j - 10 Let n(b) = -45*b - 42. Let g(i) = 41*i + 46. Give 2*g(t) + 3*n(t). -53*t - 34 Let q(t) = -1735*t + 5. Let b(a) = -1731*a + 4. Give 5*b(f) - 4*q(f). -1715*f Suppose -5*a + 4 + 11 = 0. Let l(p) = a - p - 3 - 2 + 1. Let b(h) = -h - 5. Let g(x) = -9*x - 29. Let w(s) = -5*b(s) + g(s). Determine -5*l(u) + w(u). u + 1 Let k(t) be the second derivative of t**3/3 - 3*t**2 + 51*t. Let x(o) = -24*o + 74*o - 27*o + 1 - 24*o. What is -2*k(g) - 10*x(g)? 6*g + 2 Let u = -7904 - -7896. Let p(a) = -3*a - 14. Let b(z) = z + 5. What is u*b(o) - 3*p(o)? o + 2 Let v(g) = -3089*g - 109. Let l(i) = -6177*i - 245. What is 4*l(z) - 9*v(z)? 3093*z + 1 Let u(j) = 5*j + 634. Let x(f) = -2*f - 20. Calculate -u(o) + 6*x(o). -17*o - 754 Let g(l) = 2*l. Suppose -106 + 88 = 18*b. Let m(t) = 25 - 13 - 12 - t. Let y(f) = -2*f**2 + 2*f - 1. Let k be y(1). Give b*g(w) + k*m(w). -w Let y(m) = -8*m**2 + 16*m + 25. Let g(p) = -7*p**2 + 13*p + 23. What is 6*g(r) - 5*y(r)? -2*r**2 - 2*r + 13 Let m(d) = -5*d + 2. Let f be -3*((-3)/(-24))/((-3)/(-8)). Let y be (-12)/(-78) - (1 - (-100)/(-26)). Let w(c) = -c + 1. Give f*m(z) + y*w(z). 2*z + 1 Let x(z) = 1147*z**3 - 18*z**2 + 5*z - 6. Let n(v) = -1146*v**3 + 16*v**2 - 4*v + 5. Determine -5*n(c) - 4*x(c). 1142*c**3 - 8*c**2 - 1 Let n(z) = -365*z**2 - 6*z - 2. Let d(w) = -3*w**2 - 3*w - 1. What is 10*d(h) - 5*n(h)? 1795*h**2 Let y(b) = -41*b**3 + 2*b**2 + 6*b. Let c(o) = -o. Suppose -5*t - d = -32, -73*d = t - 76*d. Determine t*c(r) + y(r). -41*r**3 + 2*r**2 Let g(h) = h - 4. Let p(i) = -i - 121582 + 4*i - 2*i + 121574. Give -9*g(l) + 4*p(l). -5*l + 4 Let b(y) = -y + 1. Let u(h) = 76*h - 522. Let p(c) = 38*c - 241. Let s(f) = 13*p(f) - 6*u(f). Determine 2*b(x) + s(x). 36*x + 1 Let f(g) = -119*g + 5. Suppose 283*s - 456 = -316*s + 637*s. Let x(d) = 298*d - 12. Determine s*f(z) - 5*x(z). -62*z Let t(y) = 1. Let b(p) = -5*p**2 - 10 + 18 + 5 - 2*p - 7 + 4*p. What is -b(z) + 5*t(z)? 5*z**2 - 2*z - 1 Let p(i) = -3*i**2 - 21. Let o(v) be the first derivative of v**3/3 + 5*v + 1520. Calculate -21*o(f) - 5*p(f). -6*f**2 Let g(n) = -5*n - 2. Let q(s) = -4*s - 1. Suppose -p - y + 7 = 0, -26 = -5*p - 4*y + 12. Let i = p + -5. Let r be 30/20 - i/(-2). What is r*q(v) - 3*g(v)? -v + 2 Let q(m) = 435*m**2 - 20*m. Let f(h) = 436*h**2 - 17*h. Determine 5*f(z) - 4*q(z). 440*z**2 - 5*z Let p(n) = 461*n + 19. Let f(r) = 461*r + 11. Give -3*f(s) + 2*p(s). -461*s + 5 Let i(o) = -138*o**3 + 115*o + 115. Let k(n) = -n**3 + 55153 + 0*n**3 - 55152 + n. Calculate -i(h) + 115*k(h). 23*h**3 Let j(o) = 18*o**2 + 7*o + 6559. Let b(t) = -13*t**2 - 5*t - 4374. Give 7*b(m) + 5*j(m). -m**2 + 2177 Let s be 384/(-768) + 10/4. Let j(p) = -p**3 + 7*p**2 - 3*p - 3. Let v(m) = m**2 - m - 1. What is s*j(h) - 6*v(h)? -2*h**3 + 8*h**2 Let x = 44 - 85. Let b = x + 49. Let z(f) = 9*f**3 + 8*f**2 - 14*f. Let l(y) = 5*y**3 + 9*y + 0*y - 45*y**2 + 40*y**2 - 11*y**3. Determine b*l(p) + 5*z(p). -3*p**3 + 2*p Let k(r) = -19*r - 88. Let p(o) = 45*o + 175. Calculate 9*k(f) + 4*p(f). 9*f - 92 Let q(y) = 97*y + 242. Let i(f) = 218*f + 485. Give 4*i(p) - 9*q(p). -p - 238 Let m(r) = 8*r**2 + 3*r + 11. Let u(q) = 3*q**2 + q + 4. Let i(g) = -8*g + 55. Let c be i(12). Let j = c - -37. Determine j*m(l) + 11*u(l). l**2 - l Let c(x) = -9 + 22 + 4*x**2 + 18 - 4*x - 86. Let d(m) = -5*m**2 + 5*m + 55. Calculate 3*c(o) + 2*d(o). 2*o**2 - 2*o - 55 Let i(d) = 72*d - 108. Let k(c) = 87*c - 108. Determine -6*i(z) + 5*k(z). 3*z + 108 Let s(m) = 53*m**3 - 42*m**3 + 10 + 1 + 5*m**2 - 4. Let h(p) = 12*p**3 + 4*p**2 + 6. Calculate 7*h(u) - 6*s(u). 18*u**3 - 2*u**2 Let y be 35/(-42) - 10155/18. Let a = -620 - y. Let n(f) = -3*f**2 - 2*f + 2. Let o(l) = 80*l**2 + 55*l - 55. Determine a*n(j) - 2*o(j). 5*j**2 Let g(y) = -9*y**3 + 5*y**2 - y - 45. Let d(n) = -8*n**3 + 4*n**2 - 2*n - 44. Give -5*d(z) + 4*g(z). 4*z**3 + 6*z + 40 Let g(s) = -1026*s - 34. Let v(o) = -205*o - 6. Give -2*g(z) + 11*v(z). -203*z + 2 Let a(k) = -5933*k - 10. Let n(y) = 2966*y + 6. Give 3*a(s) + 5*n(s). -2969*s Let x(v) = v**3 + v**2 + 1. Let k = -13891 - -13896. Let s(m) = -4*m**3 - 22*m**2 - 6. Determine k*x(h) + s(h). h**3 - 17*h**2 - 1 Let y(r) = -5*r**2 + 3*r + 4. Let p(h) = -h**3 - h**2 + h - 1. Let m = 18938 - 18935. Determine m*p(j) - y(j). -3*j**3 + 2*j**2 - 7 Let k(z) = -286*z + 65. Let t = -13113 - -13116. Let o(s) = 13*s - 3. Determine t*k(d) + 65*o(d). -13*d Let j(n) = 6*n + 34. Suppose -2*z = 4*a - 10, -69*a - 40 = -73*a + 4*z. Let g(f) = 5*f + 33. Give a*g(o) - 4*j(o). o + 29 Let u(s) = 3*s**2 - 34 + 36 - 22*s - 18*s + 42*s - 16*s**2. Let f(d) = -d - 1. Give -6*f(t) - 3*u(t). 39*t**2 Let n(i) = 2*i - 5. Let d(s) = 3*s - 8. Let c(p) = 5*d(p) - 8*n(p). Suppose -33 = -3*z + 3*w, 13 = -3*z + 6*z + w. Let t(g) = 5*g + 6. What is z*c(u) + t(u)? -u + 6 Let o(v) = -2*v**3 + 3*v**2 + 3*v + 23. Let g(r) = -4*r**3 + 5*r**2 + 5*r + 44. What is -3*g(k) + 5*o(k)? 2*k**3 - 17 Let t(z) = 8*z**2 - 2*z. Let w(j) = 7*j - 23. Let g be w(3). Let i(v) = -40*v**2 + 11*v. Suppose 44*c - 181 = -665. Calculate c*t(h) + g*i(h). -8*h**2 Let m(o) = -o**3 + o + 1. Let r = -50 + 116. Suppose -68*c + 71*c = -r. Let y(v) = -10*v**3 + 11*v + 11. Let f be 2 - (-1 + 0) - 1. What is c*m(i) + f*y(i)? 2*i**3 Let t = -12 - -10. Let f(u) = -349. Let h(g) = 1833. Let r(w) = 21*f(w) + 4*h(w). Let y(v) = -v + 1. What is t*r(m) + 6*y(m)? -6*m Let x(z) = -2*z**3 + 6*z**2 + 6*z + 15. Let o(a) = 4*a**3 - 11*a**2 - 11*a - 30. Let y(m) = -195*m - 1744. Let u be y(-9). Determine u*x(w) + 6*o(w). 2*w**3 - 15 Let o(z) = -6*z - 6. Let m be -3 + (15/(-10))/((-2)/(-4)). Let t(n) = n + 1. Give m*o(c) - 33*t(c). 3*c + 3 Let g(y) = 72*y**3 + 12*y**2 + 7*y + 20. Let i(n) = 32*n**3 + 6*n**2 + 3*n + 9. Calculate -3*g(r) + 7*i(r). 8*r**3 + 6*r**2 + 3 Let m(k) = 3*k**3 + 2*k - 1. Let x(p) = -23*p**3 - 29*p + 8. Give -5*m(b) - x(b). 8*b**3 + 19*b - 3 Let z(q) = 7744*q**2 + 3*q + 9. Let i(f) = -15489*f**2 - 7*f - 21. Give 3*i(p) + 7*z(p). 7741*p**2 Let i(m) = -63*m**3 + 5*m**2 - 5. Let y(a) = 188*a**3 - 13*a**2 + 17. What is -11*i(o) - 4*y(o)? -59*o**3 - 3*o**2 - 13 Let m(l) be the second deriv
{ "pile_set_name": "DM Mathematics" }
2 + 1/60*k**6 + 0*k + 0 - 1/20*k**5 - k**3. What is the units digit of d(4)? 0 Let n(l) = 3546*l + 51. Let q be n(-6). What is the tens digit of ((-2)/3)/(-5*(-10)/q)? 8 Let m(r) be the first derivative of -9*r - 1/3*r**3 - 1 - 11/2*r**2. What is the tens digit of m(-5)? 2 Suppose -30*f + 33*f = 21. Let p(t) = -4*t + 25. Let n be p(f). Let m = 163 + n. What is the hundreds digit of m? 1 Let o = -100 - -151. Let t = -7962 - -7989. Let h = o - t. What is the units digit of h? 4 Let y = -491 + 479. What is the hundreds digit of (y/5)/(18/(-5340))? 7 What is the units digit of 32949/7 - 0/(36/(-6))? 7 Suppose 4*w + w - 50 = 0. Suppose 4 + w = 2*c. Suppose -147 = -c*s + 7. What is the tens digit of s? 2 Suppose -312*n = -71*n - 6443321 + 1125174. What is the units digit of n? 7 Let r = 32 - 32. Suppose 0 = 5*x - t - 2*t - 1622, r = -x + 3*t + 322. What is the tens digit of x? 2 Suppose 2*b - 438 = 106. Let z be (1 + b/(-12))*3. What is the tens digit of (-1)/(-5) - 5707/z? 8 Let k = 897 - 897. Suppose k = c - 6*b + 8*b - 2123, -3*c + 6354 = b. What is the hundreds digit of c? 1 Let s be (-6*1)/((-3)/2). Suppose 98*v + 1368 = 100*v. Suppose 0 = t - 4, -t = s*o - 5*t - v. What is the hundreds digit of o? 1 Suppose -5*c = 878 + 47. Let f = 263 + c. What is the tens digit of f? 7 Let m = 29 - 13. Suppose -3*z + j = -m, -3*z - 2*j + 6 + 7 = 0. Suppose 0*t = -4*c + 5*t + 403, -189 = -2*c + z*t. What is the units digit of c? 7 Let a(u) = -25*u**2 - 8*u - 14. Let g be a(-5). Let b = g - -954. What is the hundreds digit of b? 3 Suppose 0*v = v - 17. Suppose -4*m + v = -u, 3*u - 8*u + 15 = 0. Suppose -m*a - 195 = -540. What is the tens digit of a? 6 Suppose -2*j = 2*m - 176402, 88237 = -12*m + 13*m - 5*j. What is the thousands digit of m? 8 Suppose -2 = o, 3*w - 1120 = w - 4*o. Let t = 368 - w. Let p = -115 - t. What is the tens digit of p? 8 Suppose -78684*d + 37332 = -78667*d. What is the units digit of d? 6 Let n(p) = 2*p**3 - 14*p**2 + 3*p + 15. Let q be n(11). Suppose l + j + 4*j = 1020, q = l + 3*j. What is the hundreds digit of l? 0 Suppose 0 = 2*z - b - 55208, 2*z + 8510 = 4*b + 63730. What is the hundreds digit of z? 6 Suppose -4*q - 2*f + 75910 = 0, 8*f - 10*f = -q + 18990. What is the tens digit of q? 8 Let f = 54 - 61. Let c = 364 + f. What is the hundreds digit of c? 3 Let u = 3451 + -1594. What is the units digit of u? 7 Let d(f) = -34*f**3 - 15*f**2 + 60*f - 17. What is the units digit of d(-7)? 0 Let a(z) = -z**2 + 192*z + 4. What is the hundreds digit of a(17)? 9 Let g(p) = -p**3 - 27*p**2 + 26*p - 53. Let m be g(-28). What is the units digit of (2 + m)*(-1)/(-6)*6? 5 Let a(k) = -15*k**3 + k**2 - 433*k - 3416. What is the thousands digit of a(-8)? 7 Let q(j) = j + 6. Let h be q(-6). Suppose x - 4*d = 2*x - 13, h = 3*x - d - 104. What is the units digit of x? 3 Let n(a) = a**3 + 3*a**2 - 52*a - 7. Let z be n(6). Let g(v) = 5*v**3 - 2*v**2 - 20*v - 1. What is the tens digit of g(z)? 7 Let s(m) = -15*m**3 - 2. Suppose 54 - 18 = -18*c. What is the tens digit of s(c)? 1 Let s(t) = -10*t + 368. Let z be s(36). Let a be (5/3)/((-1)/(-24)). Suppose -z = -3*u + a. What is the tens digit of u? 1 Let b(i) = 72*i**3 - i**2 + 2*i - 2. Suppose -5 + 13 = 8*u. Let t be u/(-3) + (-12)/(-9). What is the tens digit of b(t)? 7 Let m(h) = 5*h**2 + h + 70. Let f be m(13). Suppose 0*k + 2*k + 1854 = 4*p, -2*p + f = -2*k. What is the hundreds digit of p? 4 Let h = 69 - 6. Let n = h + -7. What is the units digit of n? 6 Let m(v) = -v**3 - 8*v**2 - 11*v + 6. Let f be m(-6). Suppose f = 3*z + 5*i + 37, 5*i - 7 = -32. What is the units digit of (-306)/z - 12/(-8)? 8 Let w(m) = m**2 - 7*m - 15. Let f = -25 + 27. Suppose -3*n - 2*l + 39 = 0, f*l + 1 - 29 = -2*n. What is the units digit of w(n)? 9 Let f = 296 + -124. Let t = -256 - -147. Let b = t + f. What is the tens digit of b? 6 Suppose -164*d + 656927 - 153499 + 560604 = 0. What is the hundreds digit of d? 4 Suppose -11*n + 9*n + 22 = 0. Suppose n*x = -x. Suppose 2*q + d = 6*q - 823, -3*q - 5*d + 646 = x. What is the hundreds digit of q? 2 Let g(w) = -30*w + 10*w + 11 - 13*w - w**2. What is the hundreds digit of g(-24)? 2 Suppose -5*x + u + 23043 = 5*u, 0 = 5*x - 5*u - 23070. What is the tens digit of (-1)/(-5) - x/(-145)? 3 Let u(v) = -70*v + 129. Let a be u(-21). Suppose -a + 4915 = 4*k. What is the units digit of k? 9 Let x be (-111)/(-15) + (-2)/5. Suppose -5 + 26 = x*a. Suppose 6*y = a*y + 165. What is the tens digit of y? 5 Suppose -10*o - 3*o + 1209 = 0. Let x = 258 - o. What is the units digit of x? 5 Let n(a) = a**3 - 3*a**2 - 22*a - 6. Let l be n(-4). Let s be 45/l*8/(-3). Suppose -2*q - h = -408, s*q + q + h - 1023 = 0. What is the tens digit of q? 0 Let t = 375 - 197. Suppose 2*w - 904 = -t. What is the units digit of w? 3 Let i be 10/(-1) + (4 - 6)*-2. What is the units digit of -2*(-372)/(-18)*18/i? 4 Let y be (-4)/6*(-108)/8 + -4. Let l be (-6 - -6) + y + -2. What is the tens digit of (2 - (-77)/2)*2 - l? 7 Let d(a) = 2*a**3 - 7*a**2 - 26*a - 2. Let l be d(6). Suppose 0*w - 4 = -2*w. Suppose 5*v - l = x, 0*x = 3*v + w*x - 21. What is the units digit of v? 5 Let s be (-3 + 1)/((-69)/(-2070)). Suppose -2*c + c - 18 = 0. Let r = c - s. What is the tens digit of r? 4 Let a = -27 + 33. Suppose 50 = a*k + 8. What is the units digit of k? 7 Let u = -34 - -38. Suppose u*j + 15 = w, 3*j = 4 - 13. Suppose -5*r = -4*f - r + 440, w*r = 4*f - 442. What is the hundreds digit of f? 1 What is the thousands digit of 32034 + 0 + -247*(-4)/76? 2 Suppose 0 = -2*w + 29 + 13. Let l(k) = -7*k - 7*k**2 + k**2 + 5*k**2 - 44 + 34*k. What is the tens digit of l(w)? 8 Let q(f) = f**3 + 7*f**2 - 9*f - 1. Let l be q(-8). Let h = 344 - -552. Suppose l*w + 7*w = h. What is the units digit of w? 4 Suppose -82*z + 2362 = -80*z. Let t = -841 + z. What is the tens digit of t? 4 Let q be (-22 - -18) + (-9 - (-1 + 2)). Let o = q - -205. What is the hundreds digit of o? 1 Let y = 706 - 670. What is the tens digit of 16/(-3)*(y - 258)? 8 Let d = 8749 - 3369. What is the thousands digit of d? 5 Let w = -2791 + 4726. Suppose w - 18302 = -13*d. What is the hundreds digit of d? 2 Let y = -9893 - -17252. What is the thousands digit of y? 7 Let p = 37 + -27. Suppose -2*h = 3*h - p. What is the hundreds digit of -4 + 1 - h/(10/(-885))? 1 Suppose 6*o + 4260 = 15246. Let n = o - 1240. What is the hundreds digit of n? 5 Suppose -5*s + 1439 = -3*i, -s - 4*s - 5*i + 1455 = 0. Suppose 0 = -2*k - 3*c + s, 4*k - k - 5*c = 424. What is the hundreds digit of k? 1 Suppose 20328 = 4*m - 0*h - 2*h, -3*m + 3*h = -15249. What is the tens digit of m? 8 Let l = 1587 - 184. Let f = l + -937. What is the units digit of f? 6 Let f = 1436 - 1429. Let p(b) = 3*b - 2 - 3*b - b - b**3 + 8*b**2. What is the tens digit of p(f)? 4 Let x = -11964 - -19861. What is the units digit of x? 7 Suppose 17*g = 18*g - 3. Suppose -5*u = p + 76, -4*p = g*u - 5*u + 260. What is the units digit of (-11)/(p/(-24)) + (2 - -250)? 8 Let r(w) = 2*w**3 - 15*w**2 - 17*w + 482. What is the units digit of r(17)? 4 Suppose 0 = 57*p - 92623 - 1086479. What is the ten thousands digit of p? 2 Let y = -125 - -135. Suppose -3*p - 14 = -2*g, 3*p = 6*p - 4*g + y. What is the tens digit of ((-120)/(-5))/p - -41? 3 Suppose -4*l + 1327 + 1421 = 0. Let u = 1060 - l. What is the hundreds digit of u? 3 Let k be ((-10)/3)/((-12)/(-36)). Let l(a) = -a**3 - 8*a**2 + 10*a - 16. Let q be l(k). What is the hundreds digit of (4 + 15/(-6))*q*1? 1 Suppose -3*d + 13 = 3*g - 17, 5*d = 2*g + 57. Let o(b) = b**2 - 14*b + 18. Let v be o(d). What is the units digit of 169/1 + v + 18? 2 Let s(f) = -f - 32. Let x be s(-12). Let m be x - -24 - 0*1/2. Suppose w - 4*t - 98 = 0, 0*w = m*w - 5*t - 381. What is the units digit of w? 4 Let g = -84 + 86. Let a be (g - -4)*3*2/9. Suppose -26 = 3*k + 3*j - 113, -3*k = a*j - 83. What is the units digit of k? 3 Let j be (-4)/(-50)*-5*215*-2. Let t = 228 + j. What is the tens digit of t? 0 Let f(i) = 4*i**2 - 4. Let c be f(-2). Let b(u) = 5*u**2 + 17*u + 14. What is the tens digit of b(c)? 3 Suppose 0 = 4*p + k - 28483, -4*k = p - 752 - 6395. What is the tens digit of p? 1 Let s = -123 - -1475. Suppose -3*x - 2038 = z, -x + 4*z + s = -3*x. What is the tens digit of ((-3)/(-6))/((-2045)
{ "pile_set_name": "DM Mathematics" }
t c(t) = 52699*t**3 - 1359*t**2 - 1359*t - 1359. Let z(d) = -155*d**3 + 4*d**2 + 4*d + 4. Give -4*c(p) - 1359*z(p). -151*p**3 Let j(i) = 671*i**2 + 715*i + 5357. Let o(g) = -16*g**2 - 17*g - 127. Let c(d) = 6*j(d) + 253*o(d). Let r(b) = -11*b**2 - 6*b + 6. Give 6*c(w) - 11*r(w). -11*w**2 Let p(d) = -276*d**2 - 18*d. Let j(r) = -4*r**2 + 5*r. Let b(i) = 27*i**2 + 70*i. Let w(n) = b(n) - 13*j(n). What is 5*p(v) + 18*w(v)? 42*v**2 Let x(l) = -6*l**3 - 7874*l**2 + 40*l - 17. Let m(o) = -o**3 - 1312*o**2 + 7*o - 3. Determine -34*m(z) + 6*x(z). -2*z**3 - 2636*z**2 + 2*z Let b(k) = -4*k**2 + 2*k - 12. Let s(w) = w**3 - 12*w**2 + 7*w - 37. Give -7*b(q) + 2*s(q). 2*q**3 + 4*q**2 + 10 Let u(n) = -n**2 - 2*n + 2. Suppose -2*c + 37 = 13. Let d be ((-3*1)/1)/((-18)/c). Let z(v) = -2*v**2 + 4*v**2 + 3*v + 3 - 8 + d*v. What is -5*u(g) - 2*z(g)? g**2 Let f(u) = -u - 7. Let s be f(-6). Let i(h) = -7*h**3 - 3. Suppose 2*o + 16 = -3*q, 3*o = -128*q + 129*q + 9. Let t(x) = x**3 + 1. Calculate q*t(v) + s*i(v). v**3 - 3 Let x(h) = -4*h + 8. Let u(d) = 5*d - 9. Let c be (16/20)/((-1)/(-35)). Let n be (42/c)/((-1)/4). Determine n*x(z) - 5*u(z). -z - 3 Let i(f) = 26*f + 3. Let z(r) = -27*r - 4. Let v be 8 + 195/(-25) - 7*6/(-15). Determine v*i(p) + 2*z(p). 24*p + 1 Let m(z) = 10*z**3 + 4*z**2 - 38*z - 1. Let t(d) = 10*d**3 + 3*d**2 - 26*d - 1. Give -5*m(f) + 6*t(f). 10*f**3 - 2*f**2 + 34*f - 1 Let d(z) = -416. Let g(o) = -49. Let k(c) = 2*d(c) - 17*g(c). Let s(r) = -2*r + 28. Give 10*k(i) - s(i). 2*i - 18 Let t be ((-4452)/112)/((-1)/12). Let i = t - 474. Let j(w) = 5*w - 2. Let q(g) = 6*g - 3. Determine i*j(m) - 2*q(m). 3*m Let z(j) = j**2. Let o(g) = -273*g**2 + 7*g + 6. Let s(k) = 317*k**2 - 8*k - 7. Let n(t) = 7*o(t) + 6*s(t). Determine n(d) + 3*z(d). -6*d**2 + d Let c(p) = 3*p**2 - 4*p - 2. Let h(i) = -9*i**2 - 3*i + 73. Calculate c(m) - h(m). 12*m**2 - m - 75 Let z(q) = -16*q**3 - 92. Let w(h) = 18*h**3 + 91. Determine -5*w(s) - 6*z(s). 6*s**3 + 97 Let j(k) = -11*k**2 + 95*k + 50. Let s(r) = 3*r**2 - 24*r - 12. Determine -4*j(b) - 15*s(b). -b**2 - 20*b - 20 Let i(a) = -18*a**2. Let g(x) = 56*x**2 - 2*x - 21. Calculate g(t) + 3*i(t). 2*t**2 - 2*t - 21 Let a(x) = -7*x**3 - 5*x**2 + 5*x + 13. Let f(w) be the first derivative of -2*w**4 - 2*w**3 + 3*w**2 + 14*w - 8544. Calculate -6*a(q) + 5*f(q). 2*q**3 - 8 Let p(s) = -1220*s**2 + 160*s - 160. Let d(a) = 27*a**2 - 6*a - 51. Let v(w) = 13*w**2 - 3*w - 27. Let i(b) = 10*d(b) - 19*v(b). Give 160*i(t) + 3*p(t). 20*t**2 Let i(c) = -108*c - 3. Let n(f) = 152*f + 4. Let g(z) = 7*i(z) + 5*n(z). Let p(w) = -w**2 - 11*w + 4. Determine -7*g(x) - 2*p(x). 2*x**2 - 6*x - 1 Suppose 2*o = k - 4, 0 = 4*k + 6*o - o - 81. Let r(t) = 10*t + 10. Let h(m) be the second derivative of -21*m + 0 + 1/3*m**3 + m**2. What is k*h(d) - 3*r(d)? -2*d - 2 Let z be (738/(-63) + 12)/(4/(-56)). Let b(t) = -11*t + 6. Let k(w) = 12*w - 7. Determine z*b(i) - 3*k(i). 8*i - 3 Let z(s) = -10*s**2 - 7238*s + 68. Let u(q) = -q**2 - 659*q + 6. What is -23*u(x) + 2*z(x)? 3*x**2 + 681*x - 2 Let o(t) = 20*t**2. Let b(u) = -28*u**2 - 140. Let w(j) = -j**2 - 4. Let m(x) = 3*b(x) - 105*w(x). Determine 4*m(i) - 6*o(i). -36*i**2 Let k(o) = -22*o + 4*o + 10*o - 4*o**2 + 5*o. Let w(d) = 3*d**2 + 4*d. Let m be (6/9)/((-20)/90). What is m*w(g) - 4*k(g)? 7*g**2 Suppose 5*y - 42 = -17. Suppose -29 = y*n - 9. Let p(w) = 5*w - 76 + 270 - 74 - 37 - 76. Let u(j) = -2*j - 3. What is n*p(g) - 9*u(g)? -2*g - 1 Let h(i) = -2*i**2 + 57*i - 13. Let a(q) = -2*q**2 + q - 7. Calculate 2*a(y) - h(y). -2*y**2 - 55*y - 1 Suppose 46*h + 195 = 13*h + 30. Let k(x) be the second derivative of -3*x**5/10 + x**4/12 - 7*x**2/2 + 2*x. Let o(j) = -j**3 - 1. Determine h*o(u) + k(u). -u**3 + u**2 - 2 Let t(f) = 118*f**3 + 30*f**2 - 25*f - 6. Let i(p) = -276*p**3 - 69*p**2 + 58*p + 14. What is -10*i(a) - 23*t(a)? 46*a**3 - 5*a - 2 Let l(x) = -2*x**2 - 3. Let h(y) = -2*y**2 - y - 3. Let t = 10435 + -10429. Give t*l(p) - 7*h(p). 2*p**2 + 7*p + 3 Let h(c) = -45*c + 51*c - 26*c. Let v(p) = -21*p. Calculate 4*h(z) - 5*v(z). 25*z Let p(a) = 93*a - 21*a - 26*a - 23*a - 29*a + 1. Let s(m) = -11*m + 1. Let y(c) = -c**2 + 5*c - 3. Let r be y(3). What is r*s(j) - 5*p(j)? -3*j - 2 Let p(t) = -109*t + 2001. Let u(m) = 31*m - 667. Give 2*p(i) + 7*u(i). -i - 667 Let l(u) = 3*u + 3. Let j(q) be the first derivative of 3*q**2/2 + 3*q - 1. Suppose 5*a = 7*r + 67, 4*r - 2*a + 296 - 262 = 0. Give r*j(i) + 5*l(i). -3*i - 3 Let g(s) = 57*s + 51*s - 107*s - 4 + 1. Let i(a) = -5*a + 15. Let q be 0 + 2/4*0. Let d be -1 - (2 + -5) - q. Determine d*i(u) + 11*g(u). u - 3 Let l(k) be the first derivative of -k**2/2 - k - 2959. Let m(h) = 31*h - 6. Give -6*l(d) + m(d). 37*d Let k(x) = -14*x**2 - 14*x + 11. Let v(d) = 26*d**2 + 27*d - 17. What is 7*k(m) + 4*v(m)? 6*m**2 + 10*m + 9 Suppose -85*x + 5760 = -725*x. Let a(z) = 3. Let p(b) = -b**2 - b - 12. Calculate x*a(g) - 2*p(g). 2*g**2 + 2*g - 3 Let h(z) = -15*z**2 - 13*z + 4. Let j(c) = 21*c**2 + 15*c - 5. Determine 4*h(o) + 3*j(o). 3*o**2 - 7*o + 1 Let g(i) = -1716*i - 12. Let j(o) = 429*o + 3. Give -2*g(r) - 9*j(r). -429*r - 3 Let h(c) = 24660*c + 3*c**2 - 49302*c + 24634*c. Let s(b) = -16*b**2 + 39*b - 1. Give -11*h(d) - 2*s(d). -d**2 + 10*d + 2 Let b(i) = 2*i**2 + 3*i + 6. Let v = 1 + 0. Let n = 328 + -1223. Let c = n - -899. Let a(y) = -y**2 - y - 1. Give c*a(s) + v*b(s). -2*s**2 - s + 2 Let j(u) = 85*u + 1157. Let g(v) = 234*v + 3472. Determine 4*g(p) - 11*j(p). p + 1161 Let o(x) = 56*x**2. Let u be 3 - (28/(-210) - (-47)/15). Suppose u = 5*q + 2*i + 239, 144 = -3*q - 0*i - i. Let d(k) = -7*k**2. Determine q*d(z) - 6*o(z). 7*z**2 Let j(v) = 1913*v**2 + 6*v - 18. Let t(s) = 3049322*s**2 + 9565*s - 28695. Give -9565*j(i) + 6*t(i). -1913*i**2 Let v(r) = r**3 + r**2 + 1. Let g = 968 + -958. Let j(o) = o**3 - o**3 - 2405 + 2399 - 3*o**2 - g*o**3. Calculate -j(k) - 6*v(k). 4*k**3 - 3*k**2 Let n(m) = 2*m**3 + 47*m**2 + 138*m - 48. Let w be n(-20). Let u(v) = 16*v**2 + 3*v - 3. Let j(s) = -49*s**2 - 8*s + 8. Give w*u(h) - 3*j(h). 19*h**2 Suppose 4*q + 8 = 8*q. Let x be -2*q/16 - 3/4. Let l(w) = 3*w**2 - 3*w. Let h(j) = j. What is x*l(n) - 4*h(n)? -3*n**2 - n Let k(n) = 7*n**2. Let o(g) = 9*g**3 - g**2 - g - 1. Let v be o(1). Let f(s) = 1. Let q(h) = h**2 + 4. Let p(l) = -4*f(l) + q(l). Give v*p(r) - k(r). -r**2 Let r be (-8670)/(-2125) - (-6)/(-75). Let p(q) = 29*q + 4. Let a(f) = 15*f + 2. What is r*p(v) - 9*a(v)? -19*v - 2 Let t(q) = -582*q**3 - 3*q - 32. Let y(p) = -583*p**3 - 2*p - 24. What is 3*t(v) - 4*y(v)? 586*v**3 - v Let q(y) = -1341*y**3 + 2*y**2 - y + 2. Let u(i) = -6719*i**3 + 11*i**2 - 6*i + 11. Give -22*q(c) + 4*u(c). 2626*c**3 - 2*c Let x be (13 + -27 + 4)*((-15)/6 - -2). Let l(z) = -6*z**3 + 2*z**2 - 4*z + 3. Let u(w) = -7*w**3 + 3*w**2 - 5*w + 3. What is x*l(q) - 4*u(q)? -2*q**3 - 2*q**2 + 3 Let p(d) = -7*d**3 - 2*d**2 - 2*d + 2. Let w be ((-16)/52)/(10/65). Let j(u) = -35*u**3 - 11*u**2 - 11*u + 11. What is w*j(r) + 11*p(r)? -7*r**3 Let h(a) be the third derivative of a**4/12 - a**3/6 + 2*a**2. Let f(l) = -l - 1. Let b = -330 - -343. Suppose 22*j - 27 = b*j. What is j*f(t) + h(t)? -t - 4 Let s(o) = o**2 + 2. Let i(z) = 107*z - 237*z + 129*z + 1. Calculate -i(t) + s(t). t**2 + t + 1 Let w(i) = 5 + i + 4 - 5. Let c(b) = -b**2 - 1. Let u = -514 + 512. Let h(j) = -2*j - 13. Let m be h(-6). Determine m*w(x) + u*c(x). 2*x**2 - x - 2 Let a(u) = 2*u**2 - 12*u + 13. Let k(i) = -i**2 + i - 2. What is a(y) + 6*k(y)? -4*y**2 - 6*y + 1 Let g(p) = 4*p**2 - 2*p + 4. Let v(s) = 25*s**2 - 41*s - 1. Let y(l) = 96*l**2 - 157*l - 4. Let u(k) = 23*v(k) - 6*y(k). Determine g(c) - 3*u(c). 7*c**2 + c + 1 Suppose -6*b - 13 = -5*u - 10*b, 0 = 4*u + 2*b - 8. Let p(o) = -o**2 - o - 1. Let j = -4051 - -4052. Let a(k) = -2*k + 1. Determine j*a(l) + u*p(l). -l**2 - 3*l Let m(v) = -v**3 + 280*v**2 - 6*v - 8. Let i(o) = o**3 - 279*o**2 + 5*o + 7. Determine 8*i(s) + 7*m(s). s**3 - 272*s**2 - 2*s Let z(a) = 637*a - 1250*a - 3 + 614*a. Let y(p) = 4. Calculate 2*y(q) + 3*z(q). 3*q - 1 Let p(v) = v - 5. Let s(q) be the first derivative of 3*q**2/2 - 10*q - 4460. What is -5*p(k) + 2*s(k)? k + 5 Let w(h) = -550*h**2 - 13*h - 2. Let l(i) = -1099*i**2 - 23*i - 3. What is 4*l(s) - 7*w(s)? -546*s**2 - s
{ "pile_set_name": "DM Mathematics" }
+ -7). -138 What is the value of (-5 - ((1 - -4) + -15)) + 35 + (-10 - -5)? 35 -54 + -96 + 217 + -72 -5 What is the value of 7 - (1 + -5 - (37 + (55 - 44)))? 59 (-3 - -1) + 15 + (4 + 11 - (58 + -75)) 45 Calculate 46 + -22 + 14 - (-71 - -39). 70 What is -86 - -19 - ((37 - 32) + -1 + 6)? -77 5 + 9 - 15 - 50 -51 What is -1 + -1 + (-37 - 0) - (-21165 + 21176)? -50 Evaluate -5 + (31 - (33 + -19) - 18) + -51. -57 What is the value of (11140 + -11129 - (-1 + 2 - -11)) + (-61 - 1)? -63 What is 139 + -91 + -44 + 47? 51 Evaluate -421 - -446 - (7 - (-6 + -109)). -97 Evaluate -7 + 8 + (246 - 349). -102 Evaluate 107 + 1 + 0 + -6 - (1772 + -1780). 110 Evaluate 7 + (-14 - (-35 - -67)) + -1 + 1 + 2. -37 Calculate (3 + -5 - 46 - (-275 - -266)) + -10. -49 What is (-23 - -39 - -17) + -35 + -54? -56 What is -161 - (-4 + (8 - -10 - 16 - 3) - 3)? -153 What is 11 + 37 + (3 - -6) - (-1 - -11)? 47 What is the value of (-10 + 14 - 9 - 22) + 16 + -36 + -1? -48 What is the value of -5 - (-36 + 11) - 30 - (26 + 0)? -36 Calculate 251 + -269 + 0 + 18 + 15. 15 (-7 - -3) + (-322 - -324) -2 Evaluate -34 + (3 - (138 - 108)). -61 What is the value of (56 - 6) + (289 - 361)? -22 What is -1 - -65 - (1246 + -1247 - (14 + 3))? 82 -592 + 711 - (115 + 6) -2 What is the value of 64 + (-6 - (90 + -73))? 41 -8 + 98 + -3 + -7 + 8 + (-12 - -1) 77 What is the value of 3 - (-31 - -8 - -39 - (-7 + 16))? -4 What is 15 + (133 - (-19 + 89))? 78 Evaluate (-39 - (39 + -22) - 20) + 8 + -1. -69 What is the value of 3 + (44 - ((-8 - -18) + -14 + -2 + -2))? 55 Calculate -29 - (-9 + 9 + 5 - -7 - 6). -35 What is the value of (76 + -113 - (2 + 12)) + -11? -62 Evaluate (-135 - (51 + -112)) + 59. -15 What is the value of ((1 - -36) + 39 - -26) + -10? 92 Evaluate -46 + -4 + (9 - (4 + 3) - -8) + -5. -45 Calculate 1 + 2 + -927 + 868. -56 Calculate -1 + -2 + -15 + -3 + -11 + 29 + -45. -48 (-5 - (-81 - (10 + -3 + -11))) + 4 + -8 68 What is the value of -1 + 83 + -18 + 5 + 7 + (7 - 6)? 77 Calculate 37 - (-21 + (-56 - -13) + -2). 103 What is the value of 22 + -2 + -3 + (1 - 12) + 10 + -9? 7 14 + -70 + 127 - 58 13 Evaluate 12 - 1 - (-1265 - -1286 - (24 + 1)). 15 What is (8 - 11) + 21 - (304 - 266)? -20 What is -43 + 34 + -17 - 31 - -18? -39 Calculate (3 - 2 - -21) + (-74 - -19 - -66). 33 Calculate (2 - -96) + (13 - ((10 - 12) + (-3 - -5))). 111 What is (7 - (6 + 4 + (75 - 6))) + 15? -57 What is the value of -1 + 18 + 1041 + -996? 62 Calculate -19 + 12 + 13 + 89 - (8 + 11 + -9). 85 125 - (141 + 114 + -165) 35 Evaluate (-1 + -5 - -4 - 4) + -17 + -8. -31 What is the value of -1 + (-32 + -8 - -15)? -26 What is the value of -17 - (-23 - 33 - 7)? 46 What is the value of (-37 - (55 + -65)) + (0 - -1)? -26 What is the value of (-199 - -158) + (1 - -4)? -36 Calculate -4 - (-37 + 88) - -52. -3 What is -1 + -4 - (-135 - -129)? 1 What is -93 - (-62 + -9 + -37)? 15 What is the value of -48 - (-11 + ((-18 - -2) + 7 - -22) - 11)? -39 (-17 - -49) + 18 + -43 - -12 19 What is 14 - 0 - (-260 + 134 + 28)? 112 28 + (-222 - -100) - -13 -81 Calculate -1 - (-11 + -7 + 11) - (52 - (15 + -8)). -39 Evaluate (12 - 18) + 1 + (-71 - (-27 - -19)). -68 What is the value of 24 + (-62 - (-60 + 37))? -15 -68 + -3 + 10 - ((2 - 5) + 6 + -6) -58 What is -16 + -16 + -3 - (-185 + 1)? 149 Calculate (14 - ((-19 - 11) + 21)) + -68 + 22. -23 Calculate -7 - (-24 + (2 - 6) - -21) - -120. 120 -59 + (116 - 64) + 20 13 Calculate (-4 - ((-17 - (10 - 12)) + 17)) + 18. 12 103 - ((-13 + 43 - 1) + -8) 82 Calculate (3 - 9) + (1 + 58 - (1 + -32 + 19)). 65 What is -456 + 509 + -4 + 8 + -7? 50 What is the value of -17 - (1532 + -1545 - (-1 + -1 - -1))? -5 What is 20 + (18 - (-9 + 43 + -9))? 13 What is 12 + -21 + 43 + (-1 - 9)? 24 What is the value of 41 - (-32 - -37 - -126) - 16? -106 6 - (-28 + (84 - 32) - -30) -48 What is -3 + -2 + (3 - (8 - -35)) + 8? -37 Evaluate 91 + (24 + (33 - 29) - 36). 83 Calculate -21 + -2 + 1 - (-10 + (15 - 22)). -5 8 - (7 + (6 - 3) + (-13 - 3)) - 13 1 Calculate -56 - -153 - 195 - ((0 - 2) + 1). -97 Calculate 1 + -36 + (81 - 60). -14 What is -78 + 52 - (-20 + -3) - (-55 + -1)? 53 Evaluate 15 + (1 - 3) + (-57 - -163 - 117). 2 -58 + (-94 - -217) - (31 + 2) 32 86 + (-65 - 133) + 152 40 What is 15 + -14 + 7 - (7 - 3 - 36)? 40 Evaluate -7 - (13 + -9 + 0) - (0 - (1 - 1)). -11 What is the value of -47 + -47 + (327 - 294)? -61 Evaluate 38 + (47 - 97) - (16 + 1 + 2) - 14. -45 3 + -2 + (4 - (-14 + 21) - -43) 41 Calculate -8 + (7 - 14 - -21) + -14. -8 (1 - 12 - (7 - 10)) + (1489 - 1419) 62 What is -20 - (1 - (-18 + 17 + -23))? -45 Evaluate -2 - -25 - (3 - (2 - 14)). 8 Evaluate (-61 - (-49 + -62)) + 5. 55 -77 - ((-22 - (33 + -51)) + 10) -83 (17 - (-10 - -41) - -14) + 3 3 What is the value of -27 + (49 - -19) + -20? 21 Evaluate (94 - 68 - 77) + -1 + 17. -35 Evaluate 33 + 28 + -79 - -36. 18 What is the value of -15 + (-5 + 1 - -14 - (11 + 7 - 10))? -13 What is the value of (-12 - -6) + 5 + -86 - (14 - (29 + -12))? -84 What is -46924 - -46921 - ((-1 - -3) + (0 - 0) + -67)? 62 Evaluate 20 + (-9 - 10) - ((60 - 16) + (0 - 1)). -42 -26 - 1 - (-102 + (88 - 76)) 63 What is 78 - ((-138 - -75) + 84)? 57 Calculate -13 - (-12 + (-5 - (2 + -6 + -4))). -4 What is 31 - (5 + (24 - 93) + 25)? 70 -1 + -11 + 3 - (40 - 44) - 6 - -58 47 What is the value of 11 - -81 - 70 - -52? 74 Evaluate -20 - 1 - ((-32 - -19) + 39). -47 Evaluate (533 - 594) + 0 + (-11 - 0). -72 Calculate 1624 + -1626 + -8 + 2 + -2. -10 Calculate -102 - (-24 + -41 + 27 - -26). -90 What is the value of -44 - (-68 - (-15 - 27))? -18 What is -7 + 6 + (0 - 1) + 17 + -78 + 72? 9 (33 + -12 + -1 - (0 + 10)) + -73 + 4 -59 50 + 78 + -94 + -7 27 Calculate (-3 + 3 - 5 - (-109 - -91)) + -114 + 8. -93 Calculate 22 + 68 + (3 - (-1 + (-10 - (-4 - 1)))). 99 What is (-11 - -27) + (12 - 4) + (17 - 5)? 36 Calculate 123 + -92 - (-14 + 49) - (39 - (2 + -3)). -44 73 + -21 + 26 - 37 41 Calculate -6 + -10 - -19 - (-44 + 39 + (0 - 33)). 41 Calculate (-1 - -22) + -1122 + 1122. 21 Calculate 5 - 29 - (-3 - 2 - 1 - -16) - 8. -42 Calculate (-3 + 12 - 14) + 13 + -43 + 24. -11 What is the value of 0 + 4 + (-19 - 19) + (1 + 19 - 7)? -21 Evaluate (-60 - (-22 - (24 - 33))) + 9 + 1. -37 What is 34 - (-147 + 86) - (-6 + -3)? 104 -74 - (28 - -2 - (-107 - -51 - -66)) -94 What is 18 - (1 - 5) - (466 - 434)? -10 Evaluate -16 - ((-84 - (4 - 1)) + 63 + -59). 67 Calculate (-8 - -14) + 8 + (-8 - 8). -2 What is 0 - 2 - (-10520 - -10558)? -40 Calculate (0 - -21 - 0 - (-13711 + 13815)) + -3. -86 Evaluate (-1 - (-1 - 1) - 47) + (-104 - (-84 - 10)). -56 What is -10 + (21 - 2) + (21 - 15) + (2 - 51)? -34 Calculate (73 - -12) + (17 - -6) + -28. 80 What is the value of (6 - -2 - (6 - -16)) + (23 - -15)? 24 -1 + (21 - (18 - (23 - -12))) 37 What is the value of (8 - (-10 - -20)) + 0 + (-21 - 42) + 2? -63 What is the value of (18 - (2 + -1 + -22)) + -2? 37 -20 + (-2 - -20 - (-511 - -475)) 34 Calculate 161 + -157 - (1 - -48) - -149. 104 Calculate -121 + 133 + -145 + 72. -61 What is the value of 7 + 12 + -5 - ((18 + -9 - 1) + -22)? 28 6 + 7 - (9 + -27 + 1) 30 What is 1 + (-37 - -13) + 13 - (-7 - -25)? -28 Calculate (18 - 70 - 63) + 130. 15 Calculate -24 - (-32 + 51 + -29). -14 What is 12 + (-31 - -7 - -143 - 25)? 106 Evaluate -35 + 2 + 6 + -3 + -22 + 10 + 19. -23 What is -6 - (-3 - -4) - (48 - (-77 + 144))? 12 What is the value of 645 + -660 - (-1 + -65) - 6? 45 What is (2 - -23) + (-17 - -6) + 12? 26 (-12 - (-19 + 4)) + (-1 - -93) - (7 - 0) 88 What is the value of 1 + -8 + (190 - (387 - 199))? -5 What is the value of 50 + -1 + 0 + (5368 - 5362) - 7? 48 What is the value of (-11 - -1) + (8 - 1) + -7 + (0 - 1)? -11 What is the value of 67 - (78 + 43 + -83)? 29 Evaluate 63 - 0 - (-28 - 2 - (25 + -37 - 30)). 51 Calculate -15 + -1 + 2 + -10 + 10 + -7. -21 Evaluate 5 + (3 - (-8 - (3 - 6))) + -3 + -55. -45 Evaluate (6 + 4 + -22 + -5 - (34 + -38)) + 95. 82 What is 73 + -34 + -95 - -91? 35 Calculate 8 + -5 + (4 - 8) + -12 - 8. -21 Evaluate -18 + (-24 - (-15 - 34)) + 3 + 25. 35 Calculate -34 + -1 + ((-13 - -2) + 13 - 12). -45 (19 - 33) + (-7 + 6 - (-94 - -1)) + 5 83 (24 + 3 - (0 + 1)) + -116 + 78 + 53 41 What is the value of (8209 - 8224) + (59 - 0)? 44 What is the value of -28 + (5 - 0 - -10) + (47 - 0)? 34 Calculate -2782 - -2839 - (-2 - -74). -15 What is 2 - (2 + 0
{ "pile_set_name": "DM Mathematics" }
0. 0, 1, 3 Let s(q) be the second derivative of -1/2*q**3 + 0 + 7/4*q**2 - 1/24*q**4 + 41*q. Factor s(n). -(n - 1)*(n + 7)/2 Let r = -1083 + 2181/2. Let m(v) be the first derivative of 1 - r*v**2 + 9/5*v**5 - 6*v + 15/4*v**4 - v**3. Determine n, given that m(n) = 0. -1, -2/3, 1 Factor -13 - 2*d + 13*d**2 - 16 + 7*d**3 + d**4 + 11 - d. (d - 1)*(d + 2)*(d + 3)**2 Let z = 3 - -2. Suppose -4*a + 2 = 2*k - 4*k, 0 = -3*k - 2*a + 13. Solve -x**4 + 3*x**z + 3*x**2 - 3*x**k + 3*x**4 - 5*x**4 = 0. -1, 0, 1 Let j = 1/3394 - -6779/30546. Determine v, given that 0*v**2 + 0*v + 2/9*v**5 + 0 + j*v**3 - 4/9*v**4 = 0. 0, 1 Let h be 7/1 - 572/132. Let -8/3*q + 2/3*q**4 + 4/3*q**2 + h*q**3 - 2 = 0. What is q? -3, -1, 1 Let i(k) = 8*k**2 + 10*k - 9. Let a(w) = 7*w**2 + 10*w - 6. Let m(l) = 3*a(l) - 2*i(l). Factor m(n). 5*n*(n + 2) Find d, given that -4/7*d**2 + 1/7*d + 4/7 - 1/7*d**3 = 0. -4, -1, 1 Let i(w) be the first derivative of w - 7 + 1/4*w**2 - 1/24*w**4 + 0*w**3. Let d(r) be the first derivative of i(r). Find t such that d(t) = 0. -1, 1 Solve 17/2*c**2 + 3/2*c**3 - 75/2 - 1/3*c**4 - 185/6*c = 0 for c. -9/2, -1, 5 Let v(l) = 54*l**2 - 24*l + 3. Let s(i) = 108*i**2 - 49*i + 6. Let k be 6/(((-8)/14)/((-10)/35)). Let h(y) = k*s(y) - 5*v(y). Factor h(t). 3*(3*t - 1)*(6*t - 1) Let y = -11821 + 11824. Determine r, given that 1/2*r**y - 1/2*r**4 + 1/2*r**2 + 0 - 1/2*r = 0. -1, 0, 1 Let s(y) be the third derivative of -1/40*y**5 + 0*y - 1/160*y**6 - 22*y**2 - 1/32*y**4 + 0*y**3 + 0. Factor s(k). -3*k*(k + 1)**2/4 Let k(m) be the first derivative of -2*m**5/15 - 7*m**4/6 + 2*m**3/9 + 7*m**2/3 + 136. Factor k(x). -2*x*(x - 1)*(x + 1)*(x + 7)/3 Let b(k) be the third derivative of k**7/70 - 17*k**6/10 + 396*k**5/5 - 1694*k**4 + 10648*k**3 + 83*k**2. Factor b(o). 3*(o - 22)**3*(o - 2) Let v be -6 + 8 + (-1 - 0). Suppose 2*s + 5 + 1 = 4*o, -3*s + v = -o. Suppose -1 - 7*p**o + 4*p + 3 + 9*p**2 + 0 = 0. What is p? -1 Let a(f) be the third derivative of -f**8/2240 - f**7/560 + f**5/80 + f**4/32 + f**3/6 - 31*f**2. Let y(u) be the first derivative of a(u). Factor y(s). -3*(s - 1)*(s + 1)**3/4 Let a(q) be the third derivative of q**7/105 - 13*q**6/540 - q**5/270 + 5*q**4/108 + 66*q**2. Solve a(r) = 0 for r. -5/9, 0, 1 Let z - 2*z**3 - 664*z**2 + 3*z**3 - 4*z - 17*z + 672*z**2 = 0. Calculate z. -10, 0, 2 Let l be 6/21 - (-20)/28. Suppose p - 1 = l. Factor 3*w**4 + 3*w**5 - 3*w**5 + 3*w**3 - 4*w**5 + 5*w**5 + w**p. w**2*(w + 1)**3 Let c(u) be the third derivative of 0*u**3 + 0 - 2/15*u**5 + 1/6*u**4 + 20*u**2 + 1/30*u**6 + 0*u. Factor c(x). 4*x*(x - 1)**2 Let s(j) be the first derivative of -3*j**5/10 + 77*j**4/8 - 479*j**3/6 - 221*j**2/4 + 169*j + 113. Suppose s(z) = 0. What is z? -1, 2/3, 13 Let v(c) be the third derivative of 0*c**4 + 2/105*c**5 + 0*c**3 + 0 + 0*c + 1/735*c**7 - 10*c**2 + 1/105*c**6. Factor v(f). 2*f**2*(f + 2)**2/7 Let r be -8 - (-2 - (5 + 5)). Factor 0 + 30/7*q**3 - 2*q**2 - 18/7*q**r + 2/7*q. -2*q*(q - 1)*(3*q - 1)**2/7 Let k(j) = -7*j**2 + 1. Suppose 5 = 2*m + 15. Let i(r) = 2*r**2 - 1. Let s(t) = t**2. Let v(g) = i(g) + 4*s(g). Let o(p) = m*k(p) - 6*v(p). Factor o(d). -(d - 1)*(d + 1) Let v = 50 + -48. Let 72 - 21*t - 6*t**2 - 9*t**2 - 74*t - v = 0. What is t? -7, 2/3 Suppose 0 = -70*x + 236*x - 830. Factor 2/13*i + 432/13*i**3 + 48/13*i**2 + 2592/13*i**x + 1728/13*i**4 + 0. 2*i*(6*i + 1)**4/13 Let i(b) be the second derivative of 5*b**4/12 + 125*b**3/3 + 245*b**2/2 - 10*b. Factor i(d). 5*(d + 1)*(d + 49) Suppose 232*o - 106*o - 252 = 0. Determine a so that -1 + 1/2*a**o + 1/2*a = 0. -2, 1 Let v(d) be the second derivative of -5/18*d**3 - 1/60*d**5 - 1/9*d**4 - 1/3*d**2 + 0 + 8*d. Let v(s) = 0. Calculate s. -2, -1 Let g(y) = -50*y**2 + 160*y - 135. Let i(f) = 25*f**2 - 80*f + 68. Let o(n) = 4*g(n) + 7*i(n). Factor o(s). -(5*s - 8)**2 Suppose 0*v - 3*s + 10 = 2*v, 2*s + 36 = 4*v. Suppose 13*o + v*o - 42 = 0. What is w in 0*w**o + 0*w + 2/7*w**5 - 6/7*w**4 + 0 + 4/7*w**3 = 0? 0, 1, 2 Factor -72/5*d + 0 + 3/5*d**3 + 3*d**2. 3*d*(d - 3)*(d + 8)/5 Let q(a) be the first derivative of -a**5/5 + a**4/2 - a**2 + a + 327. Solve q(l) = 0 for l. -1, 1 Let h(q) = q**3 - 5*q**2 - 2*q + 12. Let m be h(5). What is g in 58*g**m + 38*g**2 - 3*g**4 - 44*g**3 + 7*g**4 + 144*g = 0? -1, 0, 6 Let f be 24/(-5)*(-120)/36. Factor -25*v - 35*v**3 - 14*v**4 - f*v**4 - 20*v**4 - 55*v**2 + 45*v**4. -5*v*(v + 1)**2*(v + 5) Let a(v) be the third derivative of -v**5/90 + 13*v**4/36 + 30*v**2. Let a(m) = 0. Calculate m. 0, 13 Let z(p) be the third derivative of -p**8/840 + 4*p**7/525 + p**6/50 - 8*p**5/75 - 29*p**4/60 - 4*p**3/5 + 92*p**2. Solve z(y) = 0 for y. -1, 3, 4 Let a = 33 - 30. Factor -t**2 - 3*t**2 - 3*t**2 + 2*t**a + 9*t**2. 2*t**2*(t + 1) Let o be 18/(-81) - 4/(-36)*38. Let t(y) be the first derivative of -4*y - 9*y**2 - o - 8/3*y**3. Find q, given that t(q) = 0. -2, -1/4 Let x(p) = -4*p**4 - 33*p**3 + 88*p**2 - 61*p + 17. Let d(v) = v**4 + 11*v**3 - 29*v**2 + 21*v - 6. Let q(l) = -7*d(l) - 2*x(l). Suppose q(f) = 0. What is f? 1, 8 Let o = -2347 + 25961/11. Let c(y) be the first derivative of 72/11*y**3 + 128/11*y - 3 + 27/22*y**4 + o*y**2. Factor c(m). 2*(3*m + 4)**3/11 Let y(u) = -u**2 + 7*u + 3. Let l be y(8). Let p(q) = -2*q + 1. Let j(o) = -5*o**2 - 35*o - 25. Let t(d) = l*p(d) + j(d). Factor t(b). -5*(b + 2)*(b + 3) Let l be -6 - (-3)/1 - -28. Suppose 10 = 5*h - l. Factor -19*k - 135*k**3 - 54*k**2 + 14*k**4 - 18*k**2 - 89*k**4 + h*k. -3*k*(k + 1)*(5*k + 2)**2 Let q(s) be the third derivative of -5*s**8/336 + 274*s**7/21 - 18769*s**6/4 + 2571353*s**5/3 - 1761376805*s**4/24 + 510*s**2. Factor q(t). -5*t*(t - 137)**4 Let v(h) = -h**3 - 5*h**2 - 5*h - 4. Let u be v(-4). Suppose u = 5*k - k - 8. Factor -c**4 + 0*c**4 - 4*c**k + 0*c**4 + 3*c**2 + 2*c**3. -c**2*(c - 1)**2 Let k(h) be the second derivative of h**5/5 - 8*h**4 + 30*h**3 - 44*h**2 - 103*h. Factor k(d). 4*(d - 22)*(d - 1)**2 Let d(v) be the third derivative of v**6/120 - v**5/15 - v**4/24 + 2*v**3/3 + 108*v**2. Factor d(z). (z - 4)*(z - 1)*(z + 1) Let k(q) be the third derivative of q**9/40320 + q**8/6720 + q**7/3360 - q**5/6 - 13*q**2. Let h(c) be the third derivative of k(c). Factor h(x). 3*x*(x + 1)**2/2 Factor 4*h**2 - 7/2*h - h**3 + 1 + 1/2*h**5 - h**4. (h - 1)**4*(h + 2)/2 Factor 5/4*m**5 + 7/4*m**3 + 0*m + 11/4*m**4 + 0 + 1/4*m**2. m**2*(m + 1)**2*(5*m + 1)/4 Let z(a) be the second derivative of a**7/147 - 4*a**6/35 + 23*a**5/35 - 10*a**4/7 + 25*a**3/21 + a - 8. Factor z(y). 2*y*(y - 5)**2*(y - 1)**2/7 Suppose 0 = -4*r - 2*o + 7*o - 31, 0 = 3*r - 2*o + 25. Let b be (r - -5)*3/(-4). Let d**5 + 10*d**3 - 10*d**3 + 6*d**3 - 4*d**5 - b*d = 0. Calculate d. -1, 0, 1 Suppose -1650*l = -1645*l - 10. Factor 1/2*b**4 + b**3 + 1/2*b**l + 0*b + 0. b**2*(b + 1)**2/2 Let s(m) be the third derivative of -10*m**2 + 0 + 0*m**3 - 1/15*m**6 + 0*m + 1/105*m**7 - 1/6*m**4 + 1/6*m**5. Factor s(u). 2*u*(u - 2)*(u - 1)**2 Let f(s) = -s**2 - 1. Let u(l) = 3 + 16*l - 15*l + 5. Let a be u(-5). Let w(g) = 9*g**2 - 3*g + 10. Let z(x) = a*w(x) + 24*f(x). Factor z(t). 3*(t - 2)*(t - 1) Let g(i) = -i**2 + 5*i - 3. Let q be g(4). Let v = -76 + 80. Factor -q - 2*w**2 - 2*w**2 - 9*w + v*w. -(w + 1)*(4*w + 1) Let p(g) be the third derivative of -1/240*g**5 + 0 + 0*g**3 + 0*g**6 - 16*g**2 + 0*g + 1/840*g**7 + 0*g**4. Factor p(w). w**2*(w - 1)*(w + 1)/4 Let f be -5*(-4)/20*65/130. Suppose 1/4*r**4 + r**3 - 1/2*r + 1/4 - 1/2*r**2 - f*r**5 = 0. Calculate r. -1, 1/2, 1 Let c(o) = -o - 3. Let i be c(-3). Find g, given that -22*g + 31*g + 3*g**2 + i*g**2 = 0. -3, 0 Suppose 0 = 4*w - 3*u - 51, 3*w - 39 = u + 2*u. Let v be w/30 - (-4)/(-10). Determine d so that -4*d + 2*d**2 - 5*d**2 + d**2 + v*d**2 = 0. -2, 0 Find d, given that 2/11*d**4 - 38/11*d**2 + 8/11*d**3 + 0 + 28/11*d = 0. -7, 0, 1, 2 Let q = -1/13945 - -111563/41835. Find y, given that -q + 2/3*y**2 + 2*y = 0. -4, 1 Find w, given that 54*w**2 - 41*w - 57*w**2 + 33 + 11*w = 0. -11, 1 Let l(v) = v**3 - v**2 + 1. Let z(i) = 8*i**3 - 7*i**2 - i + 5. Let d(x) = -x + 6. Let u be d(3). Let p(t) = u*z(t) - 15*l(t). Factor p(b). 3*b*(b - 1)*(3*b + 1) Let u be ((-20)/45)/(5/(-60)). Factor u*s + 32/3 + 2/3*s**2. 2*(s + 4)**2/3 Suppose -257 = 6*w + 1039. Let b = w - -219. Suppose -3/4*l**4 - 11/
{ "pile_set_name": "DM Mathematics" }
)/5790). Calculate the highest common factor of x and 5. 5 Suppose 5*i = i + 48. Let l be i/(-42) - (-74)/14. Suppose 9*h + l = 10*h. What is the greatest common divisor of h and 25? 5 Suppose 5*j - 11 = -3*n, 4*n = 2*n + 4. Let g be (-4492)/(-24) - 3*j/18. What is the highest common factor of g and 17? 17 Suppose 0 = -11*o + 28*o - 918. Calculate the highest common divisor of o and 243. 27 Let s be (-14)/21 - 8/6. Let g(x) = -225*x + 3. Let l be g(s). Suppose -1 + 0 = -n, l = 5*q + 3*n. Calculate the greatest common divisor of q and 10. 10 Let l = 1275 - 1260. Calculate the greatest common divisor of l and 220. 5 Suppose 5*g - 200 = -4*n + 45, -g - 3*n + 38 = 0. Suppose 7*v = 10 + g. What is the highest common factor of v and 72? 9 Suppose 52 = p - 58. Suppose -4*m + 55 = -149. Let h = m - 41. What is the greatest common factor of p and h? 10 Suppose 5*w + 3*o - 3 = -5, -4*w - o = -4. Suppose -2*c + 3*g = -1, -g + 2 = g. Calculate the greatest common divisor of w and c. 2 Suppose -5*b = g - 11, -4*g = g - 3*b - 83. Calculate the highest common divisor of g and 120. 8 Let q(t) = t + 23. Let x be q(-8). What is the highest common factor of 3 and x? 3 Let r(d) = -2*d**3 - 3*d**2 + 212*d + 649. Let x be r(-3). Suppose -l = 2*l - 15. Let n be (0 - -1)*(3 + l). Calculate the greatest common factor of n and x. 8 Let i = 28 - -3. Suppose 29*h + h = 8370. Calculate the highest common divisor of i and h. 31 Let m = -1595 - -1765. Calculate the highest common factor of m and 544. 34 Suppose -7*j - 40 = -2*j. Let l(o) = o**3 + 6*o**2 - 19*o - 19. Let s be l(j). What is the highest common divisor of 15 and s? 5 Let m = -14 + 29. Let i = -16 + 31. Calculate the greatest common factor of m and i. 15 Suppose b - 23 = 32. Let a = -6 + 6. Suppose a = -3*r + 2*c + 43, 5*r + 3*c - 29 = r. What is the greatest common divisor of r and b? 11 Suppose -15 = -2*q - 5*s, -2*s - 45 = -5*q - 7*s. Calculate the greatest common divisor of q and 4. 2 Suppose 8*o = 9*o. Suppose o = -5*q - 2*i + 9 + 34, -5*q + i + 31 = 0. What is the greatest common divisor of 21 and q? 7 Let v be 6697/111 + (2*-1)/6. Suppose 0 = -28*y + 33*y - 20. What is the highest common divisor of y and v? 4 Suppose 35*o - 1000 = 15*o. Let r be (-295)/(-10) + 1/2. Calculate the greatest common divisor of o and r. 10 Suppose 38*p = 4071 + 1059. Calculate the greatest common divisor of p and 45. 45 Let u be 9/((-27)/40)*(-15)/10. Calculate the highest common factor of 50 and u. 10 Let j = 240 + -411. Let t be (-2)/8 + j/(-12). What is the highest common factor of t and 2? 2 Let a(n) be the first derivative of n**4/4 - 2*n**3/3 + 2*n + 2. Let m be a(2). Calculate the greatest common factor of 6 and m. 2 Let h(t) = 4*t + 26 + t + 3*t - 10*t. Let w be h(-23). Let b = 30 + -21. Calculate the greatest common factor of w and b. 9 Suppose -6*r + 759 = -393. Calculate the highest common divisor of r and 64. 64 Let a(x) = x**3 - 2*x**2 + 2*x. Let s be a(2). Suppose 2*i = 2*f + 56, -80 = 5*i + 3*f - 220. What is the highest common divisor of s and i? 4 Suppose 5*d + 25 = 5*i, 3*i = 2*d + 4*i + 7. Let g = 6 + d. Let o be g + 6/(-3) + 24. Calculate the greatest common factor of 16 and o. 8 Let h(c) = 6*c**2 + 33*c - 9. Let v be h(-6). Calculate the greatest common factor of v and 30. 3 Let y be ((-4)/3)/((-6)/126). Let o be 4472/y + 4/14. Calculate the highest common divisor of o and 20. 20 Let q(u) = u**3 - 2*u**2 - 2*u + 3. Let a be q(3). Suppose a*r = -111 + 273. What is the greatest common divisor of 27 and r? 27 Let o(k) = -k**3 + 4*k**2 - 3*k + 2. Let x be o(3). Suppose 12 - 530 = -x*b. What is the highest common divisor of b and 37? 37 Let i(r) = -3 + r + r - r + 2*r. Let o be i(5). Let w be -21*(0 + 24/(-14)). Calculate the highest common factor of o and w. 12 Let h be ((-5)/((-10)/(-2)))/((-2)/736). Calculate the greatest common factor of 23 and h. 23 Let h(l) = -l**2 - 15*l - 34. Let u be h(-8). What is the greatest common factor of 44 and u? 22 Suppose -2869 - 1376 = -3*l - 4*k, 3*l - 5*k = 4272. What is the highest common divisor of 33 and l? 33 Let i be 6 - (-1 + 5 + 0). Suppose -i*b - 6 = -2. Let o be 2 - b - (-4)/1. What is the highest common factor of 8 and o? 8 Let p be 0 - -1 - (1 + (3 - 6)). What is the greatest common divisor of p and 39? 3 Let u be -3 + 14/2 + -1. Suppose -f = -2*z + 6*z + 2, -3*f + 4*z + 10 = 0. Calculate the greatest common factor of f and u. 1 Let a be (-33)/(-2)*(16 + 38). What is the greatest common divisor of a and 81? 81 Let k be ((-12400)/(-500))/((-2)/(-140)). Calculate the highest common factor of k and 56. 56 Let s(l) = -3*l + 59. Let t be s(6). Suppose 3*v - 4 = -j - 3*j, 5*j = 2*v - t. Let a be (-3)/(30/16)*-25. Calculate the greatest common factor of v and a. 8 Let s = -82 - -120. Let k = 40 + s. What is the highest common factor of k and 6? 6 Suppose 0 = 5*i - 3 - 2, 4*q - 1442 = -2*i. Suppose v - q = -3*v. Let g be 1/(-2) + (-146)/(-4). Calculate the highest common factor of v and g. 18 Let w(g) = -48*g. Let m = 28 + -30. Let r be w(m). Calculate the highest common factor of 12 and r. 12 Let r be 107/7 - (99/(-21) + 5). What is the highest common factor of r and 255? 15 Let q = -284 + 400. Let v be q + 1/((-5)/(-20)). Calculate the highest common factor of 80 and v. 40 Suppose 4*u = -3*u + 3*u. Suppose -r - 4*k + 12 = -u*r, 0 = -2*r - 2*k + 24. What is the highest common divisor of 156 and r? 12 Suppose -2*h + 4*m + 18 + 18 = 0, 25 = 5*h + 3*m. Let t be 25 - (-4 + 5 + -4). Suppose 84 - t = a. What is the greatest common divisor of a and h? 8 Let q = -135 + 164. What is the greatest common divisor of q and 87? 29 Let n(j) be the first derivative of -j**3/3 + 3*j**2/2 + 5*j + 3. Let m be n(4). Let i be (43 + (2 - 5))/m. What is the highest common divisor of 10 and i? 10 Let t(w) = 5*w + 13. Let d be t(12). Let m = -43 + d. What is the greatest common divisor of 20 and m? 10 Suppose 265 = 157*u - 156*u. What is the greatest common factor of u and 5? 5 Let o be (-2 + 7)*(-4)/(-10). Let m(j) = -107*j - 315. Let h be m(-3). Calculate the greatest common divisor of o and h. 2 Suppose -3*u - m + 51 = 0, 4*u - 5*m - 51 = 36. Let l be 106/9 + 6/27. Calculate the greatest common factor of u and l. 6 Let i = 29 + -32. Let l be (7/2 + i)*66. Let t = l - 29. What is the highest common factor of t and 44? 4 Let d be (-2 - 758/(-4)) + 33/(-22). Calculate the highest common factor of d and 6. 6 Let w(i) = -13*i**2 + i - 17. Let u be w(-4). Let z = 592 + u. Calculate the highest common factor of 33 and z. 33 Suppose 5 - 20 = 5*q. Let k be q - -2 - -2 - -2. Calculate the highest common divisor of k and 12. 3 Let g = -61 + 66. Suppose 2*q = -2*b + 48, 0 = 6*q - 3*q - 2*b - 87. Suppose -g*h = 7 - q. Calculate the greatest common divisor of 28 and h. 4 Let o be (-134)/(-18) + 12/(-27). Calculate the highest common factor of 35 and o. 7 Let m(q) = 6 + 3 + 2 + 3 - q. Let z = -46 - -57. Let v be m(z). Calculate the highest common divisor of 1 and v. 1 Suppose 8*m - 22 = 7*m + v, -104 = -4*m - 4*v. What is the greatest common divisor of 36 and m? 12 Let d(c) = -c**2 + 8*c + 12. Let x be d(9). Suppose x*w - 3 = 117. What is the highest common factor of w and 10? 10 Let o(c) = -c**2 + 8*c - 7. Let w be o(6). Suppose 77 = l - 79. Suppose 3*b - w*b = -l. What is the highest common factor of 52 and b? 26 Let n be 4/10 + 296/10. Let j be ((-9)/(-6))/(5/n). Calculate the highest common divisor of j and 9. 9 Let t = 1129 + -236. What is the highest common factor of 141 and t? 47 Suppose 3*j - 4*j = 222. Let u = j + 387. What is the greatest common factor of u and 15? 15 Let x(c) = -3*c**3 + c**2. Let g be x(-2). Suppose -g = 6*a - 2*a. Let o = a - -18. Calculate the highest common factor of 33 and o. 11 Let w(i) = 10*i**2 - 50*i + 4. Let d be w(5). Calculate the highest common factor of d and 356. 4 Suppose 706*z = 705*z + 480. Calculate the greatest common factor of z and 336. 48 Suppose 2*p - 40 = -5*s, 2*s + 7*p - 16 = 6*p. Calculate the highest common factor of 24 and s. 8 Let q(w) = w**3 - 4*w**2 + 14*w - 16. Let l be q(4). What is the highest common divisor of l and 140? 20 Let j be 82*1/(-4)*2*1. Let z = j + 86. Suppose 0 = c - 6 - 24. Calculate the highest common factor of c and z. 15
{ "pile_set_name": "DM Mathematics" }
me factors of (2 - (-26)/(-10))*j? 3 Let p(h) = -6 - 3*h**2 - 3*h + 4*h**2 - 4*h - 2*h**2. List the prime factors of p(-5). 2 Suppose -p - 8 = -3*p. Suppose -p*z + 90 + 66 = 0. List the prime factors of z. 3, 13 Suppose k = x + 145, 4*x + 431 = 3*k - 0*x. List the prime factors of k. 149 Suppose 3*i - 198 - 21 = 0. List the prime factors of i. 73 Let c = -6 - -39. Suppose -2*q - 4*k = -7*k - c, 4*q - 55 = -5*k. List the prime factors of q. 3, 5 Let f(y) = y**2 + 5*y + 2. Let n = 7 - 13. List the prime factors of f(n). 2 Let u(b) = b**3 + 6*b**2 - 9*b - 4. What are the prime factors of u(-7)? 2, 5 Let p = -158 - -99. Let o = 91 + p. What are the prime factors of o? 2 Let o be ((-88)/3)/((-1)/(-3)). Let f = o - -134. List the prime factors of f. 2, 23 Suppose -z + 4 = z. What are the prime factors of z/(-4)*(3 - 21)? 3 Let j(r) = 11*r - 4. Let b be j(9). Let d = -59 + b. Let f = -20 + d. List the prime factors of f. 2 Let n = 30 - 22. List the prime factors of n. 2 Suppose 3*v = 4*p - 5*p + 30, -p - v = -34. What are the prime factors of p? 2, 3 Let x(i) = 2*i**2 + 9*i + 32. List the prime factors of x(-14). 2, 149 Let c(o) = -o**3 + 7*o**2 + 2*o - 7. Let g(p) = -p - 3. Let x be g(-10). List the prime factors of c(x). 7 Suppose 48 - 228 = -5*b. What are the prime factors of b? 2, 3 Suppose -3*q + 2*q + 4 = 0. Suppose 4*r - 4 = -0. Let n = q + r. What are the prime factors of n? 5 Let o = -97 - -152. Let c = o + -37. List the prime factors of c. 2, 3 Let o(s) = s**2 - 6*s. Suppose -2*y - 3*y = -35. What are the prime factors of o(y)? 7 Suppose 4*b - 17 = b - m, 0 = -5*b + 4*m. Suppose 0 = -w + b + 6. What are the prime factors of w? 2, 5 List the prime factors of ((-10)/25)/((-1)/10). 2 Let q(a) = -a**3 + 8*a**2 + 1. List the prime factors of q(4). 5, 13 List the prime factors of (204/(-12))/(1/(-1)). 17 Let p(s) = s**2 - 3*s - 4. Suppose b = -3*j + 10, 5*j = b - 3*b + 18. Let f be j/5 + (-46)/(-10). What are the prime factors of p(f)? 2, 3 Let t be 2 - -2 - (1 - 0). What are the prime factors of (-2)/(t/((-27)/6))? 3 What are the prime factors of 8/24 + (-71)/(-3)? 2, 3 Suppose 4*x = -27 - 1. What are the prime factors of (7 - 0)*(-10)/x? 2, 5 What are the prime factors of (0 - -14)*(-36)/(-21)? 2, 3 Suppose r = -5*t + 695, -t = 2*t + 2*r - 424. What are the prime factors of t? 2, 3, 23 Let u = 17 + -10. Suppose g + 2 - u = 0. What are the prime factors of g? 5 Let b be 4*((-9)/(-6) - 2). Let y = -1 - b. Let o(z) = 10*z**2 - z. List the prime factors of o(y). 3 Let o(s) = s**3 + s. Suppose 5*t + 4 - 9 = 0. Let i(h) = 3*h**3 - 5*h**2 + 9*h + 5. Let b(a) = t*i(a) - 4*o(a). List the prime factors of b(-6). 11 Let k(w) = -w**2 - 9*w - 4. Let u be -6*((-10)/(-3) + -2). Let r be k(u). Suppose -g + r*g = 27. List the prime factors of g. 3 Let h(b) = -2*b**3 + 4*b + 3. Let n be h(-2). Let t = 20 + n. What are the prime factors of t? 31 Let k = -35 - -69. List the prime factors of k. 2, 17 Let v(u) = -3*u + 3. Let c be v(2). List the prime factors of (-9)/c - (-135)/3. 2, 3 Let w = 23 - 16. Suppose 0 = -f + 9 + w. List the prime factors of f. 2 Let x be 1/(9/(-6) + 2). Suppose -172 = -5*p - 2*s - 11, 0 = 4*p - x*s - 136. List the prime factors of p. 3, 11 Suppose -s = s. Suppose -5*f = -s*f - 15. What are the prime factors of 9 + 1 - 6/f? 2 Suppose -1 = 3*b - 7. What are the prime factors of b? 2 Suppose -84 = 4*z - 996. List the prime factors of z. 2, 3, 19 Let s = -3 - -2. Let a(j) = 28*j**2. What are the prime factors of a(s)? 2, 7 Let k = -15 - -31. What are the prime factors of k? 2 What are the prime factors of -1 - -4 - (1 - 28)? 2, 3, 5 Let u(c) = -3*c + 22. Let z(n) = n - 7. Let p(r) = 3*u(r) + 8*z(r). What are the prime factors of p(0)? 2, 5 Let a be (1 + -9)/(1/(-1)). Suppose 4*p - 4 - a = 0. Suppose -p = y - 11. List the prime factors of y. 2 Let q be (-3 + 0)*(-7)/3. Suppose -3*n - 20 = -q*n. List the prime factors of n. 5 Let u = -3 - -7. Suppose -2*c + u*y + 2 = -6, 8 = -2*c - 4*y. Suppose -3*v - v + 88 = c. List the prime factors of v. 2, 11 Let f(o) = 4*o**3 - 1. Let d be f(-1). Let z be (1 - 2 - d)*2. Suppose -3*k = -k - 5*a - 22, 2*a - z = -2*k. List the prime factors of k. 2, 3 Let v(o) = o**2 - o - 23. What are the prime factors of v(13)? 7, 19 List the prime factors of 6/27 + (-2644)/(-9). 2, 3, 7 Let f(q) = -q**2 - q + 1. Let v(s) = -s**3 + s**2 + 5*s + 2. Let z(r) = f(r) + v(r). Suppose 0*b = 2*b + 4. What are the prime factors of z(b)? 3 Suppose 33 + 7 = 5*g. Suppose -2*p + 3*f = 24, -3*p - 3*f - g = 13. List the prime factors of 1*(-1 + -1 - p). 7 Let x be (-2)/3 - (-30)/(-9). Let i = x + 3. What are the prime factors of 14*(i - (-26)/14)? 2, 3 Let l = 26 - 6. What are the prime factors of l? 2, 5 Let g = -31 + 52. List the prime factors of g. 3, 7 Suppose 5*w = -37 + 7. Let y(m) = -3*m. What are the prime factors of y(w)? 2, 3 Suppose -5*o + 90 = -3*o. Suppose 9*w - 6*w - o = 0. List the prime factors of w. 3, 5 Let j(q) = -5*q**3 - q**2. Let s be j(-1). Suppose 0 = s*i + i - 20. Suppose 4*d = i + 8. What are the prime factors of d? 3 Suppose k + 2*u - 18 = -3*k, 2*u = -5*k + 21. Let v(q) = q + 2. Let f be v(-1). Let j = k - f. What are the prime factors of j? 2 Let y = -69 - -117. List the prime factors of y. 2, 3 Let b(t) = t**3 - t**2 + 1. Let r be b(-1). Let h(k) = 4*k**2 - 2*k - 1. List the prime factors of h(r). 5 Suppose -6*p + 309 = 57. What are the prime factors of p? 2, 3, 7 Suppose -7*n + 2*n = -55. Let t(s) = -3 - 9*s**2 + 7*s + n - s**3 + s + s. What are the prime factors of t(-10)? 2, 3 Let b be (-1)/((-3)/(-6)) - 1. Let k be (8/b)/((-8)/12). Let n = 9 + k. List the prime factors of n. 13 Let w(l) = 11*l**2 - 4*l. Let j(u) = 3*u - 1 - 10*u**2 + 1. Let s(d) = -5*j(d) - 4*w(d). List the prime factors of s(-1). 5 Let o = 39 - 19. Let s be 5/o - (-15)/4. Suppose -s*l = -14 - 14. List the prime factors of l. 7 Suppose 5*n = 4*w - w + 1229, -5*n + 5*w + 1225 = 0. What are the prime factors of n? 13, 19 List the prime factors of 6/4 + 531/18. 31 Suppose -134 = c - 3*c. List the prime factors of c. 67 Let p be 2/8 - (-3)/(-12). Suppose 3*v - 2*v - 4 = p. Suppose -4*i + v*s + 84 = 0, 0 = -0*s + 3*s + 6. List the prime factors of i. 19 Let f(c) = -c**2 + 11*c + 2. Let r be f(11). Suppose 0 = 2*x + r*z - 42, 2*z - 24 = -0*x - x. Suppose 3*q - x = -0*q. What are the prime factors of q? 2, 3 Let w(v) = v**3 + 8*v**2 + 5*v - 9. Let u be 7*(-2 + 2/2). Let l be w(u). Suppose s - l = -3. What are the prime factors of s? 2 Let d = 50 - 24. What are the prime factors of d? 2, 13 Let b(m) = -2*m**3 - 5*m - 4. What are the prime factors of b(-2)? 2, 11 Suppose -2*v = h - 25 - 25, -94 = -4*v + h. List the prime factors of v. 2, 3 Suppose 0*i = 2*i. Suppose i = -d - 0*d + 59. What are the prime factors of d? 59 Let y be (-2)/7 + (-160)/28. List the prime factors of (y/(-6))/(2/12). 2, 3 Let y(z) = z**3 - 2*z**2 - 4*z + 4. Let l be y(3). What are the prime factors of 76/4 + -2 + l? 2, 3 Let p be (2 - (4 - 1)) + -1. List the prime factors of ((-5)/p)/(2/4). 5 Suppose -6*f + 2023 = 145. List the prime factors of f. 313 List the prime factors of (39/(-26))/((-1)/64). 2, 3 Suppose -r - 3*t - 12 = -5, 2*r - 3*t - 13 = 0. Let d = -2 + 6. What are the prime factors of 22*(r/d + 0)? 11 Let c(a) = a**2 - 2*a + 9. List the prime factors of c(4). 17 Let d(x) = 2 + 2*x - 5 + 4. List the prime factors of d(10). 3, 7 Let w = -16 - -5. Let h = -9 - w. List the prime factors of h. 2 Let m = 77 + -39. Suppose i - m = -i. List the prime factors of i. 19 List the prime factors of -1*(-77 + (-2 - -3)). 2, 19 Let w be (-2)/(-10) + 18/10. Suppose -w*u - 66 = -4*b + 6, -6 = -3*u. What are the prime factors of b? 19 Let j be (0 - -2) + -2 + -2. Let s(v) = -2*v**2 - 4*v - 2. Let q(z) = 2*z**2 + 4*z + 2. Let l(d) = -6*q(d) - 7*s(d). List the prime factors of l(j). 2 Let o be (-6 - -1)*(-2)/2. Let h(i) = -i**2 + 9*i + 1. Let s be h(8). Suppose -6*b + o*b + s = 0. List the prime factors of b. 3 Suppose 7*w - 12 = 3*w. Suppose -m - 1 = -l - 3*m, 4*l - 22 = m. Suppose -61 - l = -w*k. What are the prime factors of k? 2, 11 Suppose -2*f = 2*g - 0*f + 22, -4*g - 24 = -f. Let k = g - -11. Suppose -5*d - 5 = 0, 0 = -2*q + d + k*d + 47. List the prime factors of q. 3,
{ "pile_set_name": "DM Mathematics" }
e of -2*g**7/21 + 13*g**6/5 + 163*g**4/6 - g**2/2 - 3580*g. What is the third derivative of y(u) wrt u? -240*u**2 + 1872*u Let x(h) be the first derivative of -121*h**5/20 - 123*h**2/2 + 21*h - 14. Let n(d) be the first derivative of x(d). Differentiate n(k) wrt k. -363*k**2 Let v(m) = 1158*m**5 - 4*m**4 - 17*m**2 + 4*m - 10. Let q(a) = -a**5 + a**4 - a**2 + a + 6. Let d(t) = -3*q(t) - v(t). Find the third derivative of d(b) wrt b. -69300*b**2 + 24*b Let m(q) be the third derivative of 1/24*q**4 + 0*q + 10/3*q**3 + 7*q**2 - 4 + 1/20*q**5. Find the first derivative of m(r) wrt r. 6*r + 1 Differentiate 31241*u**4 + 31534*u**4 + u**3 - 2181 - 63000*u**4 with respect to u. -900*u**3 + 3*u**2 Let a(j) = -j + 20. Let t(k) = -740*k - 63. Let x(s) = -4*a(s) + t(s). What is the first derivative of x(y) wrt y? -736 Find the third derivative of -2599 + 7802 - 2598 + 5885*o**2 - 5424*o**3 - 2605 wrt o. -32544 Let l(u) be the second derivative of -11*u**8/56 + u**6/5 + u**5/10 - u**4/6 - 6035*u**2/2 + 6451*u. What is the third derivative of l(c) wrt c? -1320*c**3 + 144*c + 12 Let u(g) = -g**3 + 7*g**2 + 8*g. Let b be u(8). Suppose 5*f - 129 - 96 = b. What is the second derivative of 0*w - 5*w + 4*w - f*w**4 + 62*w**4 wrt w? 204*w**2 Let h(n) = -7*n**2 - n + 2. Let q(o) = 2827*o**3 - 2206*o**2 + 3*o - 6. Let w(z) = -3*h(z) - q(z). Find the third derivative of w(s) wrt s. -16962 Let x = -55 - -58. Find the third derivative of -72*j**x - 5 + 148*j**3 + 3 - 69*j**3 + 13*j**2 wrt j. 42 What is the second derivative of 1410*k**4 + 85*k**3 + 7*k - 321 + 279 - 4*k - 84*k**3 wrt k? 16920*k**2 + 6*k Let w = 181 - 60. Let q = -65 + w. What is the third derivative of 45*b**4 - q*b**4 + 31*b**4 - 25*b**2 wrt b? 480*b Let d be (-20 + (-400)/(-20))/(1 + -5). Let k(u) be the first derivative of 9 + 0*u + 3*u**3 - 17/4*u**4 + d*u**2. What is the third derivative of k(g) wrt g? -102 Let v be ((-2)/(-5))/(6/60). Suppose -v*t = -4, 4*n - 7 - 32 = -3*t. What is the second derivative of n*g**4 + 4*g**4 + 9*g + g**4 - 18*g wrt g? 168*g**2 Let l(h) be the first derivative of -2180*h**3/3 + h**2/2 - 1650*h + 1019. What is the second derivative of l(w) wrt w? -4360 Find the third derivative of 4103*l**4 + 3*l**2 - 17*l + 1 + 5835*l**4 + 8 - 2 - 1844*l**4 wrt l. 194256*l Let m(s) be the second derivative of -205*s**7/14 + 212*s**3/3 - 20*s + 11. Find the second derivative of m(v) wrt v. -12300*v**3 Let w be 29849/133 - (-4)/7. Let s be w/525 - (0 + 67/(-7)). Differentiate s - 5*u**3 + 8 + 3*u - 3*u wrt u. -15*u**2 Let g be (30/20)/((-2)/(-24)). Suppose -g = -13*v + 12*v. What is the third derivative of d**5 - 6*d**5 - 8*d**5 + 3*d**5 - v*d**2 wrt d? -600*d**2 Differentiate -40*t + 13*t**2 + 43*t + 863 + 381 with respect to t. 26*t + 3 Let u(h) be the first derivative of 650*h**6/3 + 2*h**3/3 - 131*h**2/2 - 1520. What is the third derivative of u(n) wrt n? 78000*n**2 Let n(q) be the third derivative of -6487*q**4/24 - 6905*q**3/6 - 1782*q**2. What is the derivative of n(o) wrt o? -6487 Let p be (838/(-12))/((-2)/12). What is the third derivative of -207*s + 147*s**3 + p*s - 56*s**2 - 210*s wrt s? 882 Let t be (-144)/(-168)*(6 - -1). Suppose 5*u + t = 8*u. Differentiate -1 - 1 + 12*i**2 + 8*i**u + i**2 with respect to i. 42*i Let r = -566 + 572. What is the first derivative of 30 + 5*t**3 - r*t**3 - 191*t**4 + t**3 - 108 wrt t? -764*t**3 Let z(a) be the first derivative of 0*a**4 + 106 - 3/2*a**2 - 8*a + 0*a**3 - 121/5*a**5. Find the second derivative of z(h) wrt h. -1452*h**2 Let c = -23763 - -23767. Let x(s) be the third derivative of -23*s**2 + 0*s + 0 - 37/6*s**3 - 3/4*s**5 + 0*s**c. What is the derivative of x(o) wrt o? -90*o Let b be (54/(-12) + 3)*-13*2. Find the first derivative of -22*w**3 + 143 - 39*w - 76 + b*w wrt w. -66*w**2 Let w = 7 + -1. Let i = 9 - w. What is the second derivative of 3*p**3 - 7*p**5 - 12*p**i - 46*p + 9*p**3 wrt p? -140*p**3 Let f(z) = -6*z**2 + 4*z. Let k(m) = -43*m**2 + 246*m - 1070. Let o(p) = -8*f(p) + k(p). Find the first derivative of o(v) wrt v. 10*v + 214 Let d be (-100)/(-60)*(8 - -1). Differentiate 29*z - d*z + 289 - z + 3*z wrt z. 16 Suppose -17*s - 48 = -29*s. What is the third derivative of s*y**2 - 11*y**5 - 3*y**2 - 4*y**2 + 5*y**2 wrt y? -660*y**2 Let q(r) be the third derivative of 251/6*r**3 + 101/210*r**7 + 0*r**4 + 0*r + 0 - 148*r**2 + 0*r**5 + 0*r**6. Differentiate q(z) with respect to z. 404*z**3 Let u(n) = n + 33. Let p(y) = 17. Let z(h) = 5*p(h) - 3*u(h). Let a be z(-10). What is the third derivative of -33*x**3 - a*x**5 + 33*x**3 - 31*x**2 wrt x? -960*x**2 Suppose 0 = a + 3, 6 = -4*o - 5*a - 1. What is the third derivative of -1 - o*j**2 - 14*j**2 + 24*j**2 - 71*j**3 wrt j? -426 Find the second derivative of 287*d - 164*d**4 - 2*d**3 - 206*d**2 + 161*d**4 - 91*d**2 - 10 - 2*d**3 wrt d. -36*d**2 - 24*d - 594 What is the third derivative of 8195*u + 1537*u**3 + 1805*u**2 + 8195*u - 16390*u wrt u? 9222 Let u(q) be the third derivative of 2279*q**4/8 - 178*q**3/3 - 30*q**2 + 3*q + 5. Find the first derivative of u(m) wrt m. 6837 Let a = 158 - 145. Let i(f) be the second derivative of a*f - 4/5*f**5 + 0 + 0*f**4 + 1/2*f**2 + 0*f**3. What is the derivative of i(s) wrt s? -48*s**2 Suppose 0 = -2*k + 6 + 84. Suppose 15 + k = 5*l. What is the second derivative of l*a - 21*a + 0*a**2 - a**2 + 10*a wrt a? -2 Let i(r) be the first derivative of -5539*r**4/4 - 2*r**3/3 - 185*r**2/2 + 7*r - 879. Find the third derivative of i(z) wrt z. -33234 Let m(t) = -224*t - 96. Let w be m(-14). Differentiate w + 124*y**2 - 2859 + 9*y**2 wrt y. 266*y Let c(d) be the first derivative of 1795*d**4/4 + 2137*d**3/3 + d**2/2 + 4178. Find the third derivative of c(j) wrt j. 10770 Suppose 0 = 826*v - 823*v - 186. Find the third derivative of 114*a**3 - 58*a**3 + 3*a - 8*a**2 - v*a**3 wrt a. -36 Let k(s) be the third derivative of -3*s**6/40 - 19*s**5/20 + 1109*s**3/6 - 418*s**2. Differentiate k(i) wrt i. -27*i**2 - 114*i Let t = 59/49 - -166/147. Let z(y) be the second derivative of 5/6*y**3 + 0*y**2 + 0 + 2*y - t*y**4. Find the second derivative of z(i) wrt i. -56 Let s(k) = -10853*k**2 + 10077*k. Let h(n) = -2712*n**2 + 2519*n. Let v(l) = 26*h(l) - 6*s(l). What is the second derivative of v(d) wrt d? -10788 Let r = 60 + -51. Let y = 24 - r. Find the second derivative of -y*v + 18*v**2 + 7*v - 13*v - 7*v wrt v. 36 Let b = -4763 - -4766. Let k(m) be the first derivative of 0*m**2 + 4/3*m**b + 2*m**4 + 0*m - 15. What is the third derivative of k(v) wrt v? 48 Let g = 327 + -71. What is the first derivative of 48 - g*l + 256*l - 6*l**3 - 9*l**3 wrt l? -45*l**2 Let q(r) be the second derivative of 137*r**7/42 - r**5/20 + 3*r**4/2 + 4655*r**3/3 + 3*r - 1372. What is the second derivative of q(z) wrt z? 2740*z**3 - 6*z + 36 Let y(d) = 2*d**2 + 4. Let l(a) = -5171*a**3 - 4*a**2 + 1431*a - 8. Let n(x) = l(x) + 2*y(x). What is the second derivative of n(q) wrt q? -31026*q What is the second derivative of 14 + 83*c**2 + 21 + 25 + 82*c - 55 wrt c? 166 What is the third derivative of 29394*h**2 + 2103*h**6 - 58798*h**2 - 35 + 29393*h**2 wrt h? 252360*h**3 Let j(n) = 3*n**2 - 14*n - 22. Let d be j(6). Find the second derivative of -3*k - 31*k**2 - 2 + d + 32*k**2 + 47*k**4 wrt k. 564*k**2 + 2 Suppose 17 = -d + 18. Let w be 0 + d - 3/(-6)*2. Find the second derivative of 12 - 4*z**w - z**2 - 12 + 25*z wrt z. -10 What is the second derivative of -141 - 57 + 165*a - 164*a - 155 - 850*a**2 wrt a? -1700 Suppose -8*m + 9 = 2*c - 5*m, 0 = 2*c + 5*m - 11. Find the second derivative of 146*v**4 + 153*v**4 - 148*v - 64*v**4 + 1269*v**c - 1269*v**3 wrt v. 2820*v**2 Suppose 51 = 14*z + 3*z. What is the derivative of -126 + 63 - 2*p**z + 35*p**3 wrt p? 99*p**2 Find the second derivative of -312*z**2 - 1172*z**2 + 533*z + 473*z + 78 - 1002*z wrt z. -2968 Let l(c) be the first derivative of 0*c + 0*c**4 + 108/5*c**5 - 60 + 0*c**3 - 55/2*c**2. Find the second derivative of l(d) wrt d. 1296*d**2 What is the third derivative of 0 - 6511*a**6 - 7*a**2 - 1793515*a + 0 + 1794025*a wrt a? -781320*a**3 Let x(u) = -u**2 + 3*u - 1. Let n(p) = 3135*p**2 - 978*p + 12. Let a(d) = -n(d) - 12*x(d). What is the second derivative of a(q) wrt q? -6246 Differentiate 3148 - 2*x**3 - 6017 - 3*x**3 - 200
{ "pile_set_name": "DM Mathematics" }
ors of 26433. 3, 11, 89 List the prime factors of 6850. 2, 5, 137 List the prime factors of 1895. 5, 379 List the prime factors of 63482. 2, 31741 What are the prime factors of 4823? 7, 13, 53 List the prime factors of 3221. 3221 What are the prime factors of 3920? 2, 5, 7 List the prime factors of 3140. 2, 5, 157 What are the prime factors of 30798? 2, 3, 29, 59 List the prime factors of 44. 2, 11 What are the prime factors of 12676? 2, 3169 What are the prime factors of 5575? 5, 223 What are the prime factors of 39374? 2, 19687 What are the prime factors of 48358? 2, 24179 What are the prime factors of 40310? 2, 5, 29, 139 What are the prime factors of 4174? 2, 2087 List the prime factors of 16241. 109, 149 List the prime factors of 93. 3, 31 List the prime factors of 96408. 2, 3, 13, 103 What are the prime factors of 19359? 3, 239 What are the prime factors of 1616? 2, 101 List the prime factors of 34959. 3, 43, 271 What are the prime factors of 2277? 3, 11, 23 List the prime factors of 68265. 3, 5, 37, 41 List the prime factors of 1527. 3, 509 List the prime factors of 553. 7, 79 List the prime factors of 14326. 2, 13, 19, 29 What are the prime factors of 61060? 2, 5, 43, 71 List the prime factors of 33117. 3, 7, 19, 83 List the prime factors of 13516. 2, 31, 109 What are the prime factors of 263? 263 List the prime factors of 5672. 2, 709 What are the prime factors of 21278? 2, 10639 List the prime factors of 55755. 3, 5, 7, 59 List the prime factors of 2214. 2, 3, 41 What are the prime factors of 2196? 2, 3, 61 List the prime factors of 11970. 2, 3, 5, 7, 19 List the prime factors of 651. 3, 7, 31 What are the prime factors of 1440? 2, 3, 5 What are the prime factors of 855? 3, 5, 19 What are the prime factors of 4624? 2, 17 List the prime factors of 1397. 11, 127 What are the prime factors of 3479? 7, 71 What are the prime factors of 2319? 3, 773 List the prime factors of 4479. 3, 1493 List the prime factors of 2804. 2, 701 List the prime factors of 989. 23, 43 What are the prime factors of 5885? 5, 11, 107 What are the prime factors of 863? 863 List the prime factors of 48949. 31, 1579 What are the prime factors of 14645? 5, 29, 101 What are the prime factors of 22000? 2, 5, 11 What are the prime factors of 1704? 2, 3, 71 List the prime factors of 290. 2, 5, 29 What are the prime factors of 988? 2, 13, 19 What are the prime factors of 8266? 2, 4133 What are the prime factors of 3353? 7, 479 List the prime factors of 491. 491 List the prime factors of 6004. 2, 19, 79 List the prime factors of 5366. 2, 2683 What are the prime factors of 87649? 87649 What are the prime factors of 2089? 2089 What are the prime factors of 1406? 2, 19, 37 List the prime factors of 152668. 2, 38167 What are the prime factors of 3414? 2, 3, 569 What are the prime factors of 2580? 2, 3, 5, 43 What are the prime factors of 31784? 2, 29, 137 What are the prime factors of 4443? 3, 1481 List the prime factors of 1377. 3, 17 List the prime factors of 9938. 2, 4969 List the prime factors of 20237. 7, 59 What are the prime factors of 1056? 2, 3, 11 List the prime factors of 4249. 7, 607 List the prime factors of 205. 5, 41 What are the prime factors of 1062? 2, 3, 59 List the prime factors of 11710. 2, 5, 1171 What are the prime factors of 27416? 2, 23, 149 What are the prime factors of 39129? 3, 13043 List the prime factors of 182298. 2, 3, 23, 1321 List the prime factors of 106345. 5, 21269 List the prime factors of 526. 2, 263 List the prime factors of 8861. 8861 List the prime factors of 22821. 3, 7607 What are the prime factors of 7152? 2, 3, 149 What are the prime factors of 16951? 11, 23, 67 What are the prime factors of 1240? 2, 5, 31 List the prime factors of 719. 719 What are the prime factors of 2422? 2, 7, 173 What are the prime factors of 1303? 1303 What are the prime factors of 12976? 2, 811 List the prime factors of 2615. 5, 523 List the prime factors of 61712. 2, 7, 19, 29 What are the prime factors of 5094? 2, 3, 283 List the prime factors of 14264. 2, 1783 What are the prime factors of 180? 2, 3, 5 List the prime factors of 4965. 3, 5, 331 What are the prime factors of 4918? 2, 2459 What are the prime factors of 1794? 2, 3, 13, 23 List the prime factors of 2382. 2, 3, 397 What are the prime factors of 2858? 2, 1429 What are the prime factors of 5181? 3, 11, 157 What are the prime factors of 76184? 2, 89, 107 What are the prime factors of 15902? 2, 7951 List the prime factors of 4981. 17, 293 List the prime factors of 190. 2, 5, 19 List the prime factors of 1663. 1663 List the prime factors of 1014. 2, 3, 13 List the prime factors of 45557. 45557 What are the prime factors of 27864? 2, 3, 43 List the prime factors of 61. 61 What are the prime factors of 33848? 2, 4231 List the prime factors of 57624. 2, 3, 7 What are the prime factors of 1955? 5, 17, 23 What are the prime factors of 17964? 2, 3, 499 List the prime factors of 21862. 2, 17, 643 What are the prime factors of 785? 5, 157 What are the prime factors of 2384? 2, 149 What are the prime factors of 30500? 2, 5, 61 What are the prime factors of 13721? 13721 List the prime factors of 55402. 2, 27701 What are the prime factors of 22441? 22441 What are the prime factors of 1697? 1697 What are the prime factors of 30932? 2, 11, 19, 37 What are the prime factors of 2982? 2, 3, 7, 71 What are the prime factors of 123401? 123401 What are the prime factors of 7576? 2, 947 What are the prime factors of 50714? 2, 25357 List the prime factors of 9862. 2, 4931 What are the prime factors of 236? 2, 59 What are the prime factors of 2265? 3, 5, 151 What are the prime factors of 147950? 2, 5, 11, 269 List the prime factors of 1643. 31, 53 List the prime factors of 2542. 2, 31, 41 List the prime factors of 71437. 71437 What are the prime factors of 31620? 2, 3, 5, 17, 31 What are the prime factors of 2262? 2, 3, 13, 29 List the prime factors of 1347. 3, 449 List the prime factors of 2163. 3, 7, 103 List the prime factors of 25163. 25163 What are the prime factors of 118189? 118189 What are the prime factors of 3013? 23, 131 List the prime factors of 29079. 3, 359 What are the prime factors of 15171? 3, 13, 389 What are the prime factors of 2087? 2087 List the prime factors of 17632. 2, 19, 29 What are the prime factors of 13358? 2, 6679 List the prime factors of 582. 2, 3, 97 What are the prime factors of 12716? 2, 11, 17 List the prime factors of 52747. 52747 What are the prime factors of 456? 2, 3, 19 What are the prime factors of 226? 2, 113 What are the prime factors of 861? 3, 7, 41 What are the prime factors of 2159? 17, 127 What are the prime factors of 1610? 2, 5, 7, 23 List the prime factors of 416. 2, 13 List the prime factors of 8244. 2, 3, 229 What are the prime factors of 795? 3, 5, 53 What are the prime factors of 282? 2, 3, 47 List the prime factors of 1930. 2, 5, 193 What are the prime factors of 2373? 3, 7, 113 What are the prime factors of 19629? 3, 727 What are the prime factors of 285? 3, 5, 19 List the prime factors of 25558. 2, 13, 983 What are the prime factors of 475? 5, 19 What are the prime factors of 71494? 2, 35747 List the prime factors of 1755. 3, 5, 13 List the prime factors of 3441. 3, 31, 37 What are the prime factors of 4173? 3, 13, 107 What are the prime factors of 89674? 2, 13, 3449 What are the prime factors of 66396? 2, 3, 11, 503 List the prime factors of 788. 2, 197 What are the prime factors of 1482? 2, 3, 13, 19 What are the prime factors of 76151? 271, 281 List the prime factors of 714. 2, 3, 7, 17 List the prime factors of 760. 2, 5, 19 List the prime factors of 441. 3, 7 List the prime factors of 1359. 3, 151 What are the prime factors of 4844? 2, 7, 173 What are the prime factors of 33754? 2, 7, 2411 List the prime factors of 5956. 2, 1489 List the prime factors of 9067. 9067 What are the prime factors of 1662? 2, 3, 277 List the prime factors of 97924. 2, 24481 List the prime factors of 19983. 3, 6661 What are the prime factors of 3318? 2, 3, 7, 79 What are the prime factors of 4116? 2, 3, 7 List the prime factors of 4061. 31, 131 What are the prime factors of 1312? 2, 41 List the prime factors of 83447. 7, 13, 131 What are the prime factors of 48530? 2, 5, 23,
{ "pile_set_name": "DM Mathematics" }
lect the terms in -1979*n**2 - 8*n + 8*n + 1980*n**2. n**2 Collect the terms in 131*m**2 - 25 + 25. 131*m**2 Collect the terms in -4*n**3 + n**3 + n**3. -2*n**3 Collect the terms in 1 - 4*r**3 + 0*r**3 + 2 - 1. -4*r**3 + 2 Collect the terms in 3*o**2 - 4*o**2 - 3*o**2. -4*o**2 Collect the terms in -10*f + 7*f + 54 + 4*f - 54. f Collect the terms in -80*v**3 + 44*v**3 + 38*v**3. 2*v**3 Collect the terms in -11*x + 0 - 1 + 11*x + 50*x**2. 50*x**2 - 1 Collect the terms in -g**3 - 5*g**3 + 3*g**3 + g**3. -2*g**3 Collect the terms in -4*u**3 + 8*u**3 - 2*u**3. 2*u**3 Collect the terms in -v + 8 - v - 13 + 5. -2*v Collect the terms in -77 + 33 - 16*c**3 + 44. -16*c**3 Collect the terms in 21*k**2 - 11*k**2 - 9*k**2 - 9*k**2. -8*k**2 Collect the terms in 65 - 46*n**3 - 34 - 31. -46*n**3 Collect the terms in -24*a**2 - 47*a**2 + 10*a**2. -61*a**2 Collect the terms in 677*a + 2 - 2 - 727*a. -50*a Collect the terms in -515*z + 173*z + 169*z + 169*z. -4*z Collect the terms in -4*s**3 - 69*s**3 + 12*s**3. -61*s**3 Collect the terms in i**3 + 4*i**3 - 27*i**2 + 27*i**2. 5*i**3 Collect the terms in -7190*q + 7190*q + q**2. q**2 Collect the terms in -201*p**3 - 216*p**3 + 418*p**3. p**3 Collect the terms in -21*w**2 + 1 + 3 - 6 - 3. -21*w**2 - 5 Collect the terms in 6*d**2 - 6*d**2 + 2*d**2 + 16*d**2 + 1. 18*d**2 + 1 Collect the terms in -5*w**2 + 85*w + w**2 - 85*w. -4*w**2 Collect the terms in 0*n + 7*n - 9*n - 7*n**3. -7*n**3 - 2*n Collect the terms in -228*r - 18 + 18. -228*r Collect the terms in 6*t + 5*t + 20*t - 31*t - t**3. -t**3 Collect the terms in 8*k**3 - 13*k**3 - k**3. -6*k**3 Collect the terms in 39 - 39 + 9*o. 9*o Collect the terms in -349*p - 5 + 5 + 344*p. -5*p Collect the terms in 8047 - 8047 - d**3. -d**3 Collect the terms in 14*p**2 + 1 - 13*p**2 - 1. p**2 Collect the terms in -31*h**3 - 30*h**3 - 28*h**3 + 86*h**3. -3*h**3 Collect the terms in -2 + 295*h + 1 - 296*h. -h - 1 Collect the terms in 505*s**2 - 509*s**2 - 4 + 4. -4*s**2 Collect the terms in -10*y**2 + 5*y**3 + 10*y**3 + 10*y**2 - 17*y**3. -2*y**3 Collect the terms in -y**2 - 45440*y + 45440*y. -y**2 Collect the terms in -5*b - 2*b - 5*b + 10*b. -2*b Collect the terms in -2853 + 3*s + 2841 - 5*s. -2*s - 12 Collect the terms in 14*l**2 - 7*l**2 + 38*l - 12*l - 26*l. 7*l**2 Collect the terms in -t**2 - 4156*t + 8322*t - 4166*t. -t**2 Collect the terms in 5*p + 0*p**2 - 5*p + 6*p**2. 6*p**2 Collect the terms in -219*z**2 + 426*z**2 - 211*z**2. -4*z**2 Collect the terms in 2*t**3 - 7*t**3 + 5*t**3 + 2*t**3. 2*t**3 Collect the terms in 1746*h**2 - 7*h - 13*h**3 - 1746*h**2. -13*h**3 - 7*h Collect the terms in -19*t**3 - 36*t**3 - 2*t**3. -57*t**3 Collect the terms in 16*m - 3*m - 4*m. 9*m Collect the terms in 33 + 8*y - 20 - 11. 8*y + 2 Collect the terms in -17*i**2 - 8 - 47 + 13*i**2. -4*i**2 - 55 Collect the terms in 35*p - 17*p - 22*p. -4*p Collect the terms in 13*h**2 + 10*h**2 - 23*h**2 + 8*h**3. 8*h**3 Collect the terms in 8928 - 17858 - 2*m + 8930. -2*m Collect the terms in 55 - 5*i - 55. -5*i Collect the terms in -36*i - 46 + 46. -36*i Collect the terms in -a**3 + 44*a**2 - 26*a**2 - 18*a**2. -a**3 Collect the terms in y**2 - 10*y**2 + 2*y**2 - y**2 + 9*y**2. y**2 Collect the terms in -31*q**2 + 19*q**2 + 16*q**2. 4*q**2 Collect the terms in -75*c**2 + 112 + 63*c**2 - 112. -12*c**2 Collect the terms in 14*g - 259 - 251 + 510. 14*g Collect the terms in 19*v - 2*v + 34*v - 17*v. 34*v Collect the terms in 7*x - 5*x - 5*x. -3*x Collect the terms in -1404*n**3 - 1 + 1402*n**3 + 1. -2*n**3 Collect the terms in 1294 - 643 - 651 + 2*r**2 - 4*r**2. -2*r**2 Collect the terms in -1 + 1 + 9*f**2 - 2 - 39*f**2. -30*f**2 - 2 Collect the terms in -40*o + 775 - 775 + 39*o. -o Collect the terms in -26*k**2 - 17*k**2 + 45*k**2. 2*k**2 Collect the terms in 181*u**3 - 91*u**3 - 93*u**3. -3*u**3 Collect the terms in -11*z - 2*z + 2*z - 3*z. -14*z Collect the terms in -18 - 93 - 29 + 11 - s**2. -s**2 - 129 Collect the terms in -15*f**3 + 24*f**3 - 13*f**3. -4*f**3 Collect the terms in 0 + 20*a**3 - 1 + 1. 20*a**3 Collect the terms in q**2 + 202*q - 9*q - 26*q. q**2 + 167*q Collect the terms in 1 - 6*t - 5 + 4. -6*t Collect the terms in -100780 + 100780 + 9*l. 9*l Collect the terms in 1694*l**2 - 856*l**2 - 809*l**2. 29*l**2 Collect the terms in j - 3*j - 4*j + 11*j. 5*j Collect the terms in 3252 - 3252 + 4*x**2. 4*x**2 Collect the terms in 16*j - 21*j + 9*j. 4*j Collect the terms in 7*i**2 + 23*i**2 + i**2. 31*i**2 Collect the terms in -63*s**2 - 5*s**2 - 16*s**2. -84*s**2 Collect the terms in -3*s - 9*s - 19*s. -31*s Collect the terms in -42*b**3 + 8 + 41*b**3 - 8. -b**3 Collect the terms in -7*d**2 - 34 + 34. -7*d**2 Collect the terms in 459715 + 27*n - 459715. 27*n Collect the terms in -3*n**3 - 11 - 7 + 18. -3*n**3 Collect the terms in -3 - 105*a**3 - 109*a**3 + 3 + 207*a**3. -7*a**3 Collect the terms in -476*t + 120*t - 1158*t. -1514*t Collect the terms in -3*r + 12*r - 12*r. -3*r Collect the terms in 53*i**2 - 6 + 0*i**2 + 1. 53*i**2 - 5 Collect the terms in 20*k + 32 - 32 + 6*k. 26*k Collect the terms in -15*j**2 + 30*j**2 - 20*j**2. -5*j**2 Collect the terms in -24*v**2 + 7*v**2 + 3*v**3 + 17*v**2. 3*v**3 Collect the terms in 5*n + 77*n**2 - 5*n - 694*n**2. -617*n**2 Collect the terms in -16*w + 16*w - 8*w**2. -8*w**2 Collect the terms in 708*r + r**2 + 2*r**2 + 0*r**2. 3*r**2 + 708*r Collect the terms in 12*l + 12*l - 24*l + 3*l**2. 3*l**2 Collect the terms in m**2 + 5*m**2 - 8*m**2 - 18*m**2. -20*m**2 Collect the terms in -3*g - 12 + 12 + 16*g. 13*g Collect the terms in -42*m**2 + 6*m - 6*m. -42*m**2 Collect the terms in -20*o**2 + 16*o**2 - 16*o**2 - 31*o**2. -51*o**2 Collect the terms in 6 - 229*l - 6 - 10*l**3 + 229*l. -10*l**3 Collect the terms in 5*d**3 + 3*d**3 + 4*d**3 + 8*d**3. 20*d**3 Collect the terms in 19*r**3 + 1276 - 20*r**3 - 1276. -r**3 Collect the terms in 3*w**3 - 3*w**3 + 2*w**3 + 7*w**3. 9*w**3 Collect the terms in -2*g + 15 - 27 + 12. -2*g Collect the terms in 67*s**2 - 3*s - 22*s**2 + 3*s. 45*s**2 Collect the terms in 8*l**2 - 19*l**2 + 6*l**2. -5*l**2 Collect the terms in a**2 - 113763*a + 113763*a. a**2 Collect the terms in -11*a + 6*a + 29*a**2 + 5*a. 29*a**2 Collect the terms in 15*w**3 + 7*w**3 - 3*w**3 + 8*w**3. 27*w**3 Collect the terms in -l + 7*l - 8*l + 4*l**2. 4*l**2 - 2*l Collect the terms in -68*t**2 + 3 + 66*t**2 - 3. -2*t**2 Collect the terms in 1137*i - 541*i + 2*i**2 - 596*i. 2*i**2 Collect the terms in -3 + 3 - 2*n. -2*n Collect the terms in 21*u + 22*u - 71*u + 23*u. -5*u Collect the terms in 2082*m - 2082*m - 16*m**2 - 63*m**2. -79*m**2 Collect the terms in 37*t**3 - 7*t**3 - 15*t**3 - 14*t**3. t**3 Collect the terms in -25*q + 157*q - 15*q. 117*q Collect the terms in 47 - 47 - 46*s**2. -46*s**2 Collect the terms in 7*m**3 + 53*m**2 + 70*m**2 - 9*m**3. -2*m**3 + 123*m**2 Collect the terms in -8*l**2 - 10*l**2 - 6*l**2. -24*l**2 Collect the terms in -16*b**2 - 4*b**3 + 16*b**2. -4*b**3 Collect the terms in -8*m**2 + 17 + 26*m**2 - 17. 18*m**2 Collect the terms in x**2 + 2*x**2 - 2*x**2. x**2 Collect the terms in -9*x**3 + 8251*x - 8251*x + 25*x**3. 16*x**3 Collect the terms in -i**2 - 13*i**2 - 2*i**2 + 5*i**2 + 9*i**2. -2*i**2 Collect the terms in 3 - 4*r**3 - 2 + 7. -4*r**3 + 8 Collect the terms in 45*n + 1 - 4 + 3. 45*n Collect the terms in -69*c + 7*c + 19*c. -43*c Collect the terms in -58*k - 46*k + 105*k. k Collect the terms in -11*x + 34428 - 34428. -11*x Collect the terms in -43*m - 20*m + 62*m. -m Collect the terms in 6*x**3 - x**3 + 9*x**3. 14*x**3 Collect the terms in -2 + 52*r + 1 - 48*r. 4*r - 1 Collect the terms in -130*q**3 + 163*q**2 - 163*q**2 + 137*q**3. 7*q**3 Collect the terms in 11*q + 155 - 155. 11*q Collect the terms in 0 - 948*w**2 + 945*w**2 + 0. -3*w**2 Collect the terms in 30*r - 16*r - 8*r. 6*r Collect the terms in -395*k - 377*k + 773*k. k Collect the terms in 4 - 5 + 1 + 4*l**2. 4*l**2 Collect the terms in 10 - y + 15 - 25. -y Collect the terms in -1892 + 408*v**3 + 1892. 408*v**3 Collect the terms in -36 + 107*z + 5 - 108*z. -z - 31 Collect the terms in -648 + 7*c + 648. 7*c Collect the terms in -2*g + 6*g + 14*g**2 + 0*g - g. 14*g**2 + 3*g Collect the terms in 22 + k + 71 + k. 2*k + 93 Collect the terms in 9*
{ "pile_set_name": "DM Mathematics" }
ify ((-2*sqrt(5000) - sqrt(50)) + -2)**2 + (1*sqrt(126))/(sqrt(7) - -2*sqrt(567)) + 2. 7983*sqrt(2)/19 + 22056 Simplify (4 + sqrt(700) + 2)*-3 - (-2 + (sqrt(343) + (sqrt(343) + -5 - sqrt(343)) + 4)**2). -360 - 16*sqrt(7) Simplify 3*((((-1 + sqrt(108) + 3 - (sqrt(108) + 0 + 0))*1 + 4)*1)**2 + -4). 96 Simplify ((-3 + -2*(4*(-3 + sqrt(500)) + (-2 + sqrt(500))*-2))*2)**2. -4160*sqrt(5) + 32676 Simplify 3*(sqrt(720) - ((sqrt(720) - (-3 + sqrt(720))) + -5)**2) + ((sqrt(500)*-2 + -2)**2 - (0 + sqrt(500))*-1). 126*sqrt(5) + 1992 Simplify 4*(1 + (-5 + 2*(-5 + 2*sqrt(637) - (sqrt(637) + (5 + sqrt(637) + -1 - sqrt(637)))))**2). -2576*sqrt(13) + 12312 Simplify -3*(-3 + -5 + 2 + sqrt(108) + sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + 0 + 0) - sqrt(108)))**2 + -3. -1407 + 432*sqrt(3) Simplify (3*(sqrt(144) + 4*sqrt(144)*5))/((sqrt(726)*1 + sqrt(6))/(-2*(-1*sqrt(2) - sqrt(2)))). 84*sqrt(3) Simplify (1*(sqrt(1053) + -3))**2 - (6*-1*sqrt(1053))**2 - (sqrt(78)/(sqrt(36)/(sqrt(24)/sqrt(4))) + 3*sqrt(39)/sqrt(3)*-6). -36846 - 37*sqrt(13) Simplify -2*((6*(sqrt(84)*2 + sqrt(84)))/sqrt(3))**2 + ((sqrt(84) - sqrt(84)*-2)*1)/sqrt(12)*-2 + -3. -18147 - 6*sqrt(7) Simplify (((2*sqrt(88) - sqrt(88))*-5 - sqrt(88)) + 4*-1*sqrt(88))/(((sqrt(72)*2 + sqrt(72))*-6)/(sqrt(9) + (sqrt(729) + sqrt(729)*-2 - sqrt(729)) + sqrt(9))). -80*sqrt(11)/9 Simplify 4 + ((4*2*sqrt(405))**2 + sqrt(405) + -6*(sqrt(405)*2 - sqrt(405)) - ((sqrt(405) - -5*sqrt(405)*-2) + -5))*-3. -77771 - 108*sqrt(5) Simplify (4 + ((sqrt(110) + sqrt(110)*2)*5)/sqrt(10) + (sqrt(231)/sqrt(63))/(sqrt(432)*2 - sqrt(432)) + -3)**2. 541*sqrt(11)/18 + 3220787/1296 Simplify (-6*(sqrt(4320) + -1*sqrt(4320))*3)/((sqrt(1210)*-1 - sqrt(10)) + sqrt(280)/sqrt(7) + sqrt(40))*-5. 0 Simplify (5 + ((2*(-2*sqrt(162) - sqrt(162) - sqrt(162)) - sqrt(162)) + sqrt(162))/sqrt(9)*-6 + 4)*1. 9 + 144*sqrt(2) Simplify ((0 + (-1 + (sqrt(325)*-2 - sqrt(325)) - sqrt(325)) + (-3 + sqrt(325) + -2)*3)*5)**2. 4000*sqrt(13) + 14525 Simplify (-2*sqrt(112)*2*-3)**2 + 4 - (sqrt(84)*2*6)/(-1*sqrt(12)*4). 3*sqrt(7) + 16132 Simplify (((sqrt(48) - (-1 + sqrt(48)) - sqrt(48) - (sqrt(3) + -1*sqrt(3) + -4))*-4)**2 - (-1*(1*sqrt(825))/sqrt(11))**2) + 3. -640*sqrt(3) + 1096 Simplify (-4 + 2*(0 + (1 + (sqrt(832) - 2*sqrt(832)))**2))*1 + -4. -32*sqrt(13) + 1658 Simplify (-3*-5*(sqrt(448) + sqrt(448)*5) + 2 + ((sqrt(448) + -2)*-5 - sqrt(448)) + 4)**2 + 4. 21504*sqrt(7) + 3161348 Simplify 2 + 4*(-2 + (sqrt(1620)*1)**2 + ((sqrt(1620) + 1*sqrt(1620) - sqrt(1620))**2 - sqrt(1620)) + -3 - -1*(sqrt(1620) + 2)*-1). -144*sqrt(5) + 12934 Simplify (-2*-3*(0 + (-4 + sqrt(637) + -1*sqrt(637) + -4 - (3 + sqrt(637)*-1 + 1))))**2. -6048*sqrt(13) + 28116 Simplify (6*sqrt(396)*-1 + -5 + -4)**2 - (sqrt(396)*1*6 - ((sqrt(396) + 4 + sqrt(396) + sqrt(396) + sqrt(396))*6)**2). 7524*sqrt(11) + 243009 Simplify (-2*(sqrt(256)*6 + sqrt(16) + ((sqrt(160)*-2 - sqrt(160)) + sqrt(160))/sqrt(10)))/((sqrt(64)/sqrt(72) - sqrt(200)*1)*6). 23*sqrt(2)/14 Simplify (-3*(-2*(5 + sqrt(475) + 2) + (-2*sqrt(475)*-2 - (sqrt(475) + 1 + 4 - sqrt(475)))))**2. -3420*sqrt(19) + 20349 Simplify 4 + (6*(sqrt(396) + -1*sqrt(396)) - sqrt(396)) + 4 + -4*(3 + -1 + 2*sqrt(396)). -54*sqrt(11) Simplify (sqrt(90) + (sqrt(90)*2*-6 - sqrt(90)))/(2*sqrt(288)) - (3*sqrt(640)/sqrt(8) + -5*(sqrt(60)/sqrt(4))/sqrt(3))**2. -245 - 3*sqrt(5)/2 Simplify (-4*((sqrt(80) + 0)*2 + -1*(1 + sqrt(80)) - (1 + ((sqrt(80) - -5*sqrt(80)) + -5 - sqrt(80)))) + -4)**2. -2048*sqrt(5) + 20736 Simplify (4 + 2*(-3 + (3 + sqrt(76))*5 + -2*(sqrt(76) + (sqrt(76) - (sqrt(76) + 0)) + sqrt(76)))*-6)**2. 6720*sqrt(19) + 30544 Simplify 3 + sqrt(272) + 2*sqrt(272) + ((sqrt(272) + 1)*-6)**2 + (-3*(sqrt(153) + -2 + sqrt(153)) - (2 + sqrt(153))*-3). 291*sqrt(17) + 9843 Simplify -4 + 1*(0 + -4*(sqrt(243) + sqrt(243) + -2*sqrt(243)) + 5*(sqrt(243) + (2*(1 + sqrt(243)))**2))*2. 810*sqrt(3) + 9756 Simplify (sqrt(540)*-4*-6)/((sqrt(3200)*-1)/sqrt(10))*5. -90*sqrt(3) Simplify 1 + 3*-6*(sqrt(190)/(sqrt(5)*-4))/(sqrt(16)/sqrt(8)*1). 1 + 9*sqrt(19)/2 Simplify (sqrt(288) - (sqrt(288)*-3 + sqrt(288)) - ((3*sqrt(4))/sqrt(2) + 0))*5. 165*sqrt(2) Simplify -2*(0 + (1 + (3 + ((sqrt(1584) + 2*sqrt(1584))**2 - sqrt(1584)) - sqrt(1584)) - -2*(-1 + sqrt(1584) - sqrt(1584))*2)*-4). -192*sqrt(11) + 114048 Simplify 1*5*((((sqrt(18)*-1)/sqrt(3))/sqrt(2) + 4)*4)**2*5. -3200*sqrt(3) + 7600 Simplify -4*((-3*(sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) + 1 + sqrt(612))))))**2 + -5 + 2*sqrt(612)) - (sqrt(153)*-3*-6)/(6*2*sqrt(9)). -22048 - 963*sqrt(17)/2 Simplify -1*((sqrt(3078) + 1*sqrt(3078))*-2 - sqrt(3078))/(-1*sqrt(2)*5 + sqrt(4)/(-2*sqrt(2))) + 1 + 0. -90*sqrt(19)/11 + 1 Simplify 1*(5 + (0 + 3 + 1*sqrt(1872) + sqrt(1872) + -4 + -4)**2). -240*sqrt(13) + 7518 Simplify (sqrt(256) - sqrt(256)*2)/(sqrt(24)/(2*sqrt(60)/sqrt(5) - sqrt(12)))*-3. 24*sqrt(2) Simplify (-2*(sqrt(245) + -1)*6*1 + 1*((sqrt(245) - (sqrt(245)*-2 + -1)) + -4*(sqrt(245) - -2*sqrt(245))))**2*-3. -324642 + 11466*sqrt(5) Simplify -3*3*(sqrt(242) + -3)**2 - ((sqrt(2) - (sqrt(16)/sqrt(2) - sqrt(8) - sqrt(2))) + sqrt(16)/sqrt(8) + -2). -2257 + 591*sqrt(2) Simplify (-5*sqrt(5)*-3 + (sqrt(40)/sqrt(8)*-1 - sqrt(5)) + 4*1*sqrt(5) + sqrt(5) + (sqrt(605) - -1*sqrt(605)))**2. 8000 Simplify ((-2 + (sqrt(1053) - (-3 + sqrt(1053))) - sqrt(1053)) + sqrt(1053))**2*3 - (-6*-1*sqrt(78) - sqrt(78))/(sqrt(6) - sqrt(294)*-3). -5*sqrt(13)/22 + 3 Simplify 6*((6*(sqrt(500) + -3*sqrt(500))*-3)/(sqrt(120)/(-3*sqrt(588) + sqrt(12))))**2. 155520000 Simplify -4 + (6*sqrt(18)/(sqrt(81)/sqrt(36)))**2 + sqrt(288) + (sqrt(288) - (4 + -2*sqrt(288))) + ((sqrt(288) + -1)**2 - sqrt(288))*-6. -1454 + 264*sqrt(2) Simplify 5*(4 + sqrt(1088) + sqrt(1088) + sqrt(1088) + -1 - (sqrt(1088) + sqrt(1088) + 1*(1 + sqrt(1088)) + sqrt(1088))**2)*6 + -3. -522183 - 1200*sqrt(17) Simplify ((sqrt(100)/(sqrt(2)*5) - sqrt(200)/(sqrt(12)/sqrt(3)))/(3*sqrt(490)*5*-4))**2. 1/55125 Simplify (5*-3*sqrt(135)/sqrt(5)*4)/(((sqrt(18) + sqrt(36)/sqrt(2))*6)/((sqrt(20)*1)/sqrt(10))). -5*sqrt(3) Simplify (sqrt(500) - (sqrt(500) + (4*sqrt(500))**2 + 4)) + -3 + ((sqrt(5) - (1 + sqrt(5)))*5 + sqrt(5) - (sqrt(5) + 2)**2*-2). -7994 + 9*sqrt(5) Simplify (((sqrt(2000) - (sqrt(2000) - (-2*sqrt(2000)*-5 - sqrt(2000)))) + 5*sqrt(2000)*2)*4)/(-2*(sqrt(336)/sqrt(28))/(sqrt(108)*-1 + sqrt(12))). 1520*sqrt(5) Simplify 3*(sqrt(325) + 2 + sqrt(325)) + -1*sqrt(325)*-2 + -1 + 4*(-2*sqrt(325) + 4 - ((-1*sqrt(325) + sqrt(325))**2 + 5)). 1 Simplify -2 + ((3 + 1 + -2*(0 + sqrt(1377)))**2 - ((sqrt(1377) - sqrt(1377)*3*-3)**2 - (3*(1 + sqrt(1377)))**2)). -119776 + 18*sqrt(17) Simplify (1 + (sqrt(98) + 1 - sqrt(98))**2 + sqrt(98))*-3 - (sqrt(98) + (sqrt(98) - sqrt(98)*-2) + 1 + (-2*sqrt(98))**2*5). -1967 - 49*sqrt(2) Simplify (2*sqrt(208)*-2*4 - -5*3*((3*sqrt(637) - sqrt(13)) + sqrt(13)))**2 + -3. 819010 Simplify (-3*1*sqrt(228)*-1*5)/((sqrt(108) + sqrt(108) + -2*sqrt(108) - (sqrt(132)/(sqrt(99) - sqrt(11)) + sqrt(12)))*-1). 10*sqrt(19) Simplify ((sqrt(1620) - 1*sqrt(1620)*-2)*-3 - ((2*sqrt(1620) + -3 - sqrt(1620)) + 5 + sqrt(1620) + sqrt(1620)*2))**2 + -2. 936*sqrt(5) + 273782 Simplify 0 + 3*-5*(-3 + sqrt(1300) + sqrt(1300))**2 + (2 + -1 + sqrt(1300) - (-1*sqrt(1300) - sqrt(1300))*-2). -78134 + 1770*sqrt(13) Simplify (-2 + -1 + -3*-1*sqrt(1800) + -2*-3*sqrt(1800))*-1. -270*sqrt(2) + 3 Simplify (6*(sqrt(114)*3*6)/sqrt(3456)*-4*-2*5)**2. 615600 Simplify (4*sqrt(672)/((sqrt(60) - (sqrt(300)/sqrt(5) - sqrt(60)))/sqrt(5)))/(2*(sqrt(648) + sqrt(648)*-2*5 - sqrt(648))). -sqrt(7)/45 Simplify ((-3*sqrt(280)*1 + sqrt(280))/(sqrt(200)*2))/(6*(sqrt(20) + 2*sqrt(1620) + sqrt(20))). -sqrt(7)/1200 Simplify ((-6*(sqrt(91) + 1*sqrt(91)) + sqrt(91))*-1)/(4*sqrt(252) - sqrt(28)). sqrt(13)/2 Simplify 5*(3 + 6*-6*(sqrt(833) + sqrt(833)*5 + -4 - sqrt(833)))**2 + -4. -1852200*sqrt(17) + 135054041 Simplify -5*((0 + sqrt(180) + sqrt(180)*-1 + -4 + (1 + sqrt(180))*-3)*1*-2)**2. -33380 - 5040*sqrt(5) Simplify 4*(((sqrt(108) + sqrt(108) + sqrt(108)*1 + sqrt(108))*-2)/sqrt(9))/(sqrt(48)/(-2*sqrt(16)/sqrt(2))). 64*sqrt(2) Simplify -5 + -1 + (3 + sqrt(931) + 1 + sqrt(931) + 5 - (-2 + sqrt(931)*-1 + sqrt(931) - ((sqrt(931) - (sqrt(931) + -1))*1 + sqrt(931))))**2 + -3. 504*sqrt(19) + 8514 Simplify -1 + -5 + 1 + (2 + sqrt(9)/sqr
{ "pile_set_name": "DM Mathematics" }
4*c - 3*c - 10 = 0. Let f = 14 - c. What is the units digit of f? 4 Let s be (12/(-20))/((-1)/5). Let m(h) = 3*h**2 - 2*h - 5. What is the tens digit of m(s)? 1 Let q = 1 + -7. Let r = 13 + q. What is the units digit of r? 7 Let s be (-2)/(-3)*(87 - -6). Suppose -2*h = -0*h - s. What is the tens digit of h? 3 Let v = -8 - -9. What is the units digit of 4/4 + 1 - v? 1 Let m = -112 - -67. Let c be m/(-20) - (-2)/(-8). Suppose -h - c = -10. What is the units digit of h? 8 Suppose 5*y + 159 = 584. Let f = -57 + y. What is the units digit of f? 8 Suppose -33 = -g - 4*c, -5*g + 3*c + 94 = -140. Let x be 3*5/(g/6). Suppose -2*a - x*a = -8. What is the units digit of a? 2 Suppose -4*k + 8*k = -5*j, j - 5*k - 29 = 0. Let q be 3/((1 - 2)*-1). Suppose -h = 3*g - 3 - 13, -q*h - j*g = -23. What is the units digit of h? 1 Let k be -2 + 1 + (-56)/(-7). What is the units digit of ((-10)/k)/(3/(-21))? 0 Suppose 2*m = 2 + 2. Let w = 9 - 5. Suppose m = -w*v + 6*v. What is the units digit of v? 1 Suppose 3*v = -0*v + 18. What is the units digit of v? 6 Let x(v) = -6*v - 9. What is the units digit of x(-6)? 7 Suppose w - 12 = -w. Let k(x) = 2*x - 8. What is the units digit of k(w)? 4 Suppose -5*l + 23 = 2*r - 31, r + 51 = 4*l. Suppose g + g - l = 0. Let n(a) = -a**2 + 6*a + 1. What is the units digit of n(g)? 1 Let d(o) = 34*o**2 + 7*o + 3. What is the units digit of d(-2)? 5 Suppose 5*h - 19 = 6, -4*r + 4 = -4*h. Let g = r + -8. Let a = g - -6. What is the units digit of a? 4 Let a(h) = h. Let l be a(1). Let q be 4 - 3*l/3. Suppose -26 = -4*p + 2*s, q*p = s - 0*s + 18. What is the units digit of p? 5 Suppose 2*r = 3*r - 6. What is the units digit of r? 6 Suppose -2*o + 4*o - 4 = 0. Suppose -o*h + 38 = 4*v, -3*v = -3*h - 11 + 113. What is the units digit of h? 9 Suppose 0*z + 3*z - 84 = 0. What is the units digit of 8/z + (-47)/(-7)? 7 Let v(k) = k**3 - 6*k**2 + 4*k + 7. Let s be v(5). Suppose s*z = -4*q + 36, 41 = 6*q - 3*q - 2*z. What is the units digit of q? 1 Let b(i) = -3*i - 8. Let u(j) = j**2 + 13*j + 4. Let a be u(-12). What is the tens digit of b(a)? 1 Suppose -k - 64 = -5*k. Suppose 0 = i + x - k, 2*i + 2*i - 56 = 4*x. What is the units digit of i? 5 Let q(b) = -b + 10. Let t be q(7). Suppose -5*d = -l - 3*l + 21, 0 = 2*l + t*d - 5. Suppose -4*s + 4*a = -48, -l*a + 2 = -6. What is the units digit of s? 4 Suppose 2*c = -0 + 30. Let m = c + -8. Suppose q + m = 2*q. What is the units digit of q? 7 Suppose 5*a = -2*m - 15, 0 = -2*a + 2. Let p = 3 + m. Let i = 6 - p. What is the tens digit of i? 1 Let h(u) = -u**3 - 2*u**2 + 3*u + 4. Let j be h(-3). Suppose -j*y + 21 + 7 = 0. What is the units digit of y? 7 Let u = 8 - -39. What is the tens digit of u? 4 Let s(z) = -z**2 + 8*z + 3. Let i(g) = -g**2 + 15*g + 5. Let j(h) = 6*i(h) - 11*s(h). What is the units digit of j(2)? 1 What is the units digit of ((-43)/129)/((4/6)/(-2))? 1 Suppose -373 = -9*h - 49. What is the tens digit of h? 3 Suppose -4*g - 3*x + 3 = -2*x, 0 = -g + 4*x - 12. Let l(i) = g + 4 - 4 + 10*i. What is the tens digit of l(1)? 1 Let s(o) = o**2 - 7*o + 2. Let m be s(9). Suppose 2*l + m - 72 = 0. What is the units digit of l/8 - 3/12? 3 Let s(y) = -6*y + 2. Suppose -6 = 3*c - 0. What is the units digit of s(c)? 4 Suppose 639 + 1131 = 5*b. What is the tens digit of b? 5 Let d(q) = 2*q**2 + 4*q - 1. What is the units digit of d(4)? 7 Let w(z) = 2*z**2 + 6*z + 2. Let q be w(-5). Let s = q - 4. What is the units digit of s? 8 Let o = 37 - 1. What is the tens digit of o? 3 Let b(q) = -q**2 - 11*q - 10. Let l be b(-10). Suppose -5*j = -l*j - 15. What is the units digit of j? 3 Suppose 2*f - 5*d = -2*f + 659, 2*d = 3*f - 503. What is the units digit of f? 1 Let w be 0 - (0 - (3 + 1)). Suppose -w*u + 4*k - 4 = 0, u = -u - 2*k + 10. Suppose 0 = u*b - 0*b - 14. What is the units digit of b? 7 Let u(b) = -b**3 + b - 1. Let a = -3 + 1. What is the units digit of u(a)? 5 Let l(w) = w**3 + 2*w**2 - w + 73. What is the units digit of l(0)? 3 Let s = -1 + 4. Let o be 42/s - 3 - -2. Let h = -4 + o. What is the units digit of h? 9 Suppose 4*y + 8 = -3*z + 8*y, 4*y - 36 = -4*z. Let i = z + -1. What is the units digit of i? 3 Let v = -8 + 15. Suppose v*j = 2*j + 145. What is the tens digit of j? 2 What is the tens digit of 6/24*-2*(-2 - 260)? 3 Suppose -5*h = -3*o - 7, 2*h - 1 = -0*o + 3*o. Suppose 3 = f - h. What is the units digit of f? 5 Let j(f) = f**3 + 6*f**2 - f - 1. Let q = -11 - -5. What is the units digit of j(q)? 5 Let n(s) = 3*s**2 - 5*s + 7. What is the units digit of n(-11)? 5 Let d = 42 - 19. What is the units digit of d? 3 Let k be (-3)/(-12) + (-14)/(-8). Let q be ((-258)/(-9))/((-4)/(-6)). Suppose 0 = -4*u - 3*y + q, -3*u + 25 = k*u - 2*y. What is the units digit of u? 7 Suppose 3*m - 2*c - 2*c - 6 = 0, -4*c = 0. Let j = -13 - -14. What is the units digit of j/((1 - m)/(-8))? 8 Suppose -5*t - 3*z - 23 = 0, -2*z - 13 = 2*t + 3*z. What is the tens digit of -3*t/(-3)*-5? 2 Let s be (-3 + -1)/4*-23. Suppose -5*p = -123 + s. What is the units digit of p? 0 What is the units digit of (-80)/(-3) - (-2)/9*6? 8 Suppose 4*l + 28 = 8*l. Let h = l - 0. What is the units digit of h? 7 Let g = 6 - 7. What is the units digit of 18*g/(-2) - -2? 1 Suppose -2*x = 2, 7 = 5*z + x - 3*x. Suppose 7 = -b - 2*n, -b - 1 = n + z. What is the units digit of -16*(14/(-4) + b)? 8 Suppose 6 = 2*p, 0 = w + 2*p - 4 - 7. Suppose w*i + 2*g = 61, i + 5*g - 3 = -0*g. What is the units digit of i? 3 Let y be ((-38)/(-4))/((-4)/(-40)). Suppose -p - 4*p + y = 0. Let c = 29 - p. What is the tens digit of c? 1 Let f(v) = -v - 4. Let r be f(-6). What is the units digit of (-3 + 6 + 31)/r? 7 Let g(u) = 10*u**2 - 2*u**2 + 2*u**3 + 2*u**3 - 5*u**3 - 7*u + 7. What is the units digit of g(7)? 7 Let k(v) = v**3 + 3*v + 6*v**2 + 8 + 0*v + 2*v - 4*v. What is the units digit of k(-6)? 2 Suppose 0 = -n + 2*n. Suppose -12 = -n*o - 3*o. What is the units digit of o? 4 Let x(a) be the second derivative of -a**5/20 - a**4/2 + 2*a**3/3 + 5*a**2/2 + 2*a. What is the tens digit of x(-7)? 2 Suppose 40 = -2*q + 6*q. What is the units digit of q? 0 Suppose 72*d + 136 = 74*d. What is the units digit of d? 8 Let s be 0 + 2 + -2 - 0. What is the units digit of s + (-6)/(-2) + 17? 0 Let i(m) = -3*m + 2. Let x be 2*(-3)/(-6)*-2. What is the units digit of i(x)? 8 Suppose 10 = 41*y - 36*y. What is the units digit of y? 2 Suppose 0 = 5*o + 4*r - 76, 5*o = 3*o - 4*r + 40. Let s be 4/o - (-2)/(-6). Suppose s = -4*q - 3 + 27. What is the units digit of q? 6 Let b(k) be the second derivative of 0 + 1/6*k**3 - 2*k - 1/2*k**2. What is the units digit of b(4)? 3 Suppose -2*t + 918 = 7*b - 3*b, -1149 = -5*b - 4*t. What is the tens digit of b? 2 Let y = 92 + -7. What is the units digit of y? 5 Suppose 0 = 3*y - y. Suppose 4*l = -y*l + 16. What is the units digit of l? 4 Suppose 0 = r - 5. Suppose 0 = r*m - 3*m. Suppose m = -5*a + 1 + 4. What is the units digit of a? 1 What is the units digit of 1/(1/(-2)) + (96 - -15)? 9 Let l be (-9 - 0)*4 + 2. Let x be l/(-12) - (-4)/24. Suppose -k - k + 15 = -i, -x*i = -5*k + 38. What is the units digit of k? 7 Let m(c) = 71*c**2 - 2*c + 1. What is the units digit of m(1)? 0 Let z be (-2)/(-3) - (-26)/6. Suppose 88 = z*h - h. Suppose -3*p + 38 = -h. What is the tens digit of p? 2 Suppose -c - h = 31, -4*c - h - 127 = 4*h. What is the units digit of 8/c + 44/7? 6 Suppose -5*g + t - 7 = -25, 0 = -2*g - t + 10. Let p = g + -1. Suppose 40 = p*k + k. What is the tens digit of k? 1 Let q(u) = -u**2 + u. Let x = -4 - 0. Let d(h) = 5*h**2 - 15*h - 6. Let c(o) = x*q(o) - d(o). What is the tens digit of c(10)? 1 Suppose 5*u = 27 - 12. Suppose -71 = -u*j + 73. What is the units digit of j? 8 Let g(l) = 7*l - 1. What is the units digit of g(4)? 7 Suppose l + l = 8. Suppose 28 = l*m - 60. What is the tens digit of m? 2 Let r(f) = f**2 - 9*f - 7. Let c be r(10). Let k = c + 2. What is the units digit of k? 5 Suppose 0 = -7*u + 4*u + 162. What is the tens digit of u? 5 Let x be 2/(-8) - (-13)/4. Suppose 0 = x*j + j - 12. What is the units digit of j/(21/6 - 2)? 2 Suppose 0 = 4*u - 9 - 27. What is the units digit of u? 9 What is the units digit of 10 - 3/9*3? 9 Suppose -3*i + 2 = -13. Let r(a) = -a**2 + 6*a - 1. Let s be r(i). Suppose 0 = s*g - 0
{ "pile_set_name": "DM Mathematics" }
396 Multiply -4 and -0.169. 0.676 4 * -0.03 -0.12 Work out -325 * -0.17. 55.25 2.54 * -1 -2.54 Work out 351 * -9. -3159 Work out 517 * -0.2. -103.4 What is the product of 2 and -7491? -14982 What is the product of -0.46 and -0.4? 0.184 Work out 0.4 * -0.119. -0.0476 Work out -0.0248 * 15. -0.372 Calculate 2505*-3. -7515 What is the product of 45 and -0.8? -36 What is -0.372 times -14? 5.208 7 * 0.04 0.28 Work out 0.5 * 11.2. 5.6 -5.8 * 0 0 Product of 0.046 and 0.093. 0.004278 205 * 1 205 0.473*2 0.946 What is the product of -4124 and 0.2? -824.8 Product of 4.981 and -5. -24.905 What is -4 times 0.351? -1.404 0.4 times 163 65.2 What is the product of -5.195 and 4? -20.78 0.3*73 21.9 Product of -0.006 and -0.05. 0.0003 Product of 0.2 and -406. -81.2 Product of 4 and -11.8. -47.2 1*68 68 What is the product of -0.2 and 0.375? -0.075 Multiply -0.14 and -0.04. 0.0056 -0.7202*0 0 Calculate 385*-0.3. -115.5 Work out 14 * 186. 2604 What is the product of -0.033 and -59? 1.947 0.19 times 0 0 Work out -1 * 160. -160 What is 12 times -4? -48 Multiply 2.5 and -4. -10 317 times -54 -17118 3 * 0.864 2.592 What is the product of 1.1 and 0.219? 0.2409 Work out -212 * 0.4. -84.8 Calculate 552*-3. -1656 -0.0256*0.02 -0.000512 Calculate 580*-0.13. -75.4 Calculate -0.06*-38. 2.28 -0.1 times -4.9 0.49 What is 0.1555 times -0.1? -0.01555 12.92 * -12 -155.04 -0.172*-4 0.688 Work out 1 * 301. 301 Multiply -10937 and 0.4. -4374.8 What is the product of -88 and -3? 264 Multiply 0.01 and -24. -0.24 -1113 times -5 5565 Calculate 0.2*32. 6.4 Product of 0.4 and -92.6. -37.04 Multiply 0.3 and 295. 88.5 Product of -2.09 and 12. -25.08 What is the product of -3 and -3? 9 3*177 531 19508 times -0.4 -7803.2 Product of 2 and -399. -798 What is 0.1061 times 2? 0.2122 Product of 0.4 and 444. 177.6 Calculate -0.9*-0.52. 0.468 What is -90 times -0.1? 9 What is the product of -970.3 and -1? 970.3 -30*18 -540 Calculate 16*-0.584. -9.344 -68 times -3.42 232.56 -0.2*-1184 236.8 Product of 0.5 and -32. -16 -0.3 times 933 -279.9 0.6 * 7 4.2 Calculate 23.67*-1. -23.67 -0.5*46 -23 Product of 848 and -0.5. -424 Work out 3 * 0.048. 0.144 Calculate 0.4*-0.146. -0.0584 -0.7 times 94 -65.8 Multiply -6 and -0.13. 0.78 Multiply 13 and 1.81. 23.53 0.2648*-0.07 -0.018536 Work out -5 * -56. 280 Calculate 12*0.038. 0.456 Work out 0.5 * 367.8. 183.9 Calculate -8*73. -584 Product of -0.04 and -141. 5.64 1*-1 -1 Work out 0.1 * -24.9. -2.49 Product of -1406 and 0.3. -421.8 Multiply -0.19 and 0.53. -0.1007 Calculate 4*-511. -2044 -4 times 407 -1628 Multiply 1 and -1.69. -1.69 Product of 3 and 14. 42 Work out -0.02 * -2.24. 0.0448 Multiply -1.08 and 13. -14.04 -89*-3 267 Product of 0.3 and -0.07. -0.021 -6 * 0.23 -1.38 Calculate -5*991. -4955 0.003 * -3 -0.009 What is the product of 0.054 and -2? -0.108 Multiply -0.1 and -0.03. 0.003 What is the product of 5 and -770? -3850 What is the product of -18 and 1? -18 What is the product of 0.08697 and -1? -0.08697 Calculate -0.4*585. -234 Product of -4 and 0.11. -0.44 0.102 times -2 -0.204 What is -211 times -0.1? 21.1 -98 * -8 784 What is -0.05 times 139? -6.95 Work out 1.8 * -35. -63 5 times 32 160 What is -1619 times 0.4? -647.6 What is the product of 3 and -5.9? -17.7 Work out -0.6 * 106. -63.6 Product of -44 and 0.088. -3.872 What is 35 times -3? -105 Multiply -3 and 4. -12 -3.87 times 0.2 -0.774 Work out -0.1184 * -0.5. 0.0592 Calculate -3*74.71. -224.13 1.3 * -24 -31.2 Multiply 0 and -18. 0 Work out 4 * 840. 3360 What is the product of 73 and 0.5? 36.5 Product of 31 and 0. 0 What is the product of 17.8 and 0.02? 0.356 Work out -1 * -31. 31 Work out 6 * 1.9. 11.4 -7 * 94 -658 Calculate 80*-0.6. -48 0.4*146.9 58.76 -4 * 568 -2272 122 times 2.2 268.4 7 times 49 343 Calculate 0.03825*-0.1. -0.003825 Product of -379.3 and -0.2. 75.86 -0.07 * 622 -43.54 Multiply -0.4 and 575. -230 Work out 1.1 * 10. 11 -19 * -6.5 123.5 Product of 0.0225 and -2. -0.045 What is 0.1 times 0.072? 0.0072 What is the product of -81 and 59? -4779 -57*0.1 -5.7 What is -419 times 0.2? -83.8 Work out -0.1327 * -0.1. 0.01327 Work out -0.159 * -0.4. 0.0636 Work out -45.4 * 0.07. -3.178 Calculate -0.61*-0.057. 0.03477 What is the product of 4.2 and 1? 4.2 -0.25*-0.1 0.025 Calculate 30*10.7. 321 -2 times 0.357 -0.714 Product of 0.072 and 195. 14.04 0.0204 times 0.04 0.000816 What is 946 times -0.3? -283.8 Calculate -0.1*0.0299. -0.00299 -2 times 192 -384 Calculate 0.2*-3.775. -0.755 Calculate -0.01*0.24. -0.0024 Calculate -2.8*0.12. -0.336 Calculate -0.7*3.8. -2.66 Calculate 234*-7. -1638 Multiply 7 and 5. 35 Calculate 0.2*-0.774. -0.1548 Product of 122 and 0.14. 17.08 What is 0.1 times 3.3? 0.33 0.5 * -0.042 -0.021 -0.1 times 26.48 -2.648 Work out -0.312 * 0.4. -0.1248 -1602*0.3 -480.6 Calculate 0.5*-5583. -2791.5 What is -0.052 times -94? 4.888 -15421*-0.1 1542.1 -1818 * -5 9090 -0.1*0.218 -0.0218 Multiply -0.2 and -11.9. 2.38 Calculate 0.369*-0.019. -0.007011 -5*0.04 -0.2 Multiply -0.5 and 1.69. -0.845 What is the product of -643.4 and 1? -643.4 Product of -0.4 and -68. 27.2 -0.3 * 128 -38.4 0.031*-1 -0.031 Calculate -4*12.24. -48.96 Product of 3 and -4563. -13689 Calculate -0.4*0.012. -0.0048 24 times -52.9 -1269.6 6 times -0.198 -1.188 -1 * -3.7 3.7 What is the product of 0.391 and -0.7? -0.2737 Multiply -99 and -3. 297 -0.5*20 -10 0.1317 times 4 0.5268 -0.02 * -26 0.52 -436 times 3 -1308 Multiply -191 and -0.2. 38.2 -28.9 times -2 57.8 -5*237 -1185 Work out -205 * -34. 6970 Work out -4497 * -4. 17988 What is -335.2 times 0.2? -67.04 -8 * 359 -2872 Multiply 1.61 and 12. 19.32 -10465 times -0.2 2093 What is the product of -0.3 and -0.107? 0.0321 -27 times 1.01 -27.27 -38821*0 0 -11.6 * -4 46.4 0.10601*0.2 0.021202 1 * 25.47 25.47 Multiply -26 and 1.58. -41.08 Multiply -45 and -0.4. 18 -0.051 times 5 -0.255 8 times 9 72 27.2 * 0.9 24.48 Product of 680 and 0.2. 136 Product of -1135 and -1. 1135 Multiply -4 and -6.7. 26.8 0.5*-0.13 -0.065 0.0017 * 14 0.0238 1.159 * -0.3 -0.3477 -0.191 times -0.5 0.0955 What is the product of -0.07 and -314? 21.98 What is the product of -0.1 and -0.0991? 0.00991 Multiply 0.4 and 716. 286.4 -439*-1 439 What is the product of 5 and 1847? 9235 2 times 20 40 -8 times -0.897 7.176 Work out 5 * -28. -140 Calculate -0.183*-3. 0.549 Multiply 9.5 and 0.5. 4.75 Calculate 16*7. 112 Multiply -14 and -1.3. 18.2 Calculate -2*-88. 176 Work out 2426 * -0.2. -485.2 Product of -3 and -271.4. 814.2 What is the product of 0.66 and -5? -3.3 What is the product of 233 and 0.043? 10.019 What is the product of -0.1 and 288? -28.8 What is the product of -3.1 and 0.1? -0.31 What is the product of 710 and 0.6? 426 Work out 1.5 * 19. 28.5 0.02*-79 -1.58 Calculate -755*16. -12080 Calculate 0.1*-28. -2.8 Product of -0.3 and 1.11. -0.333 Product of 0.2 and 0.2. 0.04 What is the product of 29 and 1? 29 What is 0.08533 times -0.2? -0.017066 Calculate -0.4*0.3844. -0.15376 Work out -32 * 0.05. -1.6 8 * 0.007 0.056 Product of 253 and 0.03. 7.59 Multiply 0.456 and -0.08. -0.03648 Work out -1 * 0.027. -0.027 129*25 3225 -577 times 0.5 -288.5 Multiply -2.87 and -0.4. 1.148 What is -2 times 2.34? -4.68 Work out 168 * 0.4. 67.2 -1*-2.074 2.074 Product of -1.9 and 0.4. -0.76 What is 955 times -0.3? -286.5 Calculate -3073*-0.4. 1229.2 Work out 12 * 1. 12 -0.4*-0.01685 0.00674 What is the product of 0.19 and 11? 2.09 Calculate 3*-0.109. -0.327 5 times -97.3 -486.5 333 * -0.11 -36.63 -9388 * 2 -18776 Calculate 30*0. 0 -930 * 5 -4650 What is -2 times 89? -178 1.421 times -0.1 -0.1421 What is 4 times 23? 92 Multiply 0.4 and 1.1. 0.44 Multiply -0.3 and 2.7. -0.81 What is the product of -22 and 47? -1034 What is -2 times 3.76? -7.52 What is -0.2 times 2.9? -0.58 What is -3.3 times -11? 36.3 Product of -2102 and 5. -10510 Calculate -0.091*-49. 4.459 -0.00751*-0.2 0.001502 Work out -0.5 * -0.05. 0.025 Work out -128 * -5. 640 Product of -0.07 and 1. -0.07 Calculate 0.15*5.6. 0.84 Work out 4 * -178. -712 What is the product of -77 and -2? 154 -4 * 148 -592 Product of -108.4 and -3. 325.2 Multiply 5 and -30. -150 Calculate 58.9*2. 117.8 144 * 0.5 72 What is the product of 9.9 and -0.2? -1.98 What is the product of -556 and 22? -12232 10 times -0.33 -3.3 Product of -326 and 1. -326 -1 times 182 -182 0.3*12
{ "pile_set_name": "DM Mathematics" }
divided by ((-4)/(-10))/(-2 + 1881/f)? 30 Suppose k - 205 = 4*n, 178*k + 4*n = 176*k + 470. What is the remainder when 15524 is divided by k? 224 What is the remainder when 956 is divided by ((-3)/1)/(51/(-153)) - -179? 16 Let v = -22651 - -22905. Calculate the remainder when 1283 is divided by v. 13 Let p(l) = 12*l**2 - l - 8. Let g be p(-9). Suppose 2*d - g = d. What is the remainder when (-1)/3 + d/21 is divided by 12? 10 Let s = -287 - -307. Suppose z - 5*z + 3*i = -72, -5*i = s. Calculate the remainder when 778 is divided by z. 13 Suppose 5*y + 112 = -128. Let p = 50 + y. Suppose -5*m + p*k + 24 = -124, 5*k + 132 = 4*m. What is the remainder when m is divided by 8? 4 Calculate the remainder when 325 is divided by -3 - -3*575/15. 101 Let z be 57*(-9)/81*-3. Suppose -7*k - z*k + 4160 = 0. What is the remainder when k is divided by 82? 78 Let w(v) = 14*v**2 - v - 1. Suppose 3*r = -3*l + 327, r = -2*l + 245 - 130. What is the remainder when r is divided by w(2)? 50 Let t = -16024 - -16307. Calculate the remainder when t is divided by 59. 47 Suppose 169 = 8*m - 71. Let h be -7 + 8 + 2*-1. Calculate the remainder when h*(2 + -150 + -1) is divided by m. 29 Let z = 7 + 9. Let b = -2 - -21. Suppose b*o + 140 = 24*o. What is the remainder when o is divided by z? 12 Suppose 26 = g + 3*g - 3*z, -5*g - 3*z = -19. Suppose 0 = g*o - 5*d - 140, -5*d = -0*o - 2*o + 41. What is the remainder when 70 is divided by o? 4 Let q(v) = -20*v + 82. Let w(o) = -o**3 - 9*o**2 - o + 12. Calculate the remainder when w(-9) is divided by q(4). 1 Suppose 3*v - 4*h = 1417, 4*h = 28*v - 24*v - 1896. Let q = v - 466. Calculate the remainder when 22 is divided by q. 9 Suppose -2072 = -15*a - 1112. Suppose 2*g = -2*g + 88. What is the remainder when a is divided by g? 20 Let p be (72/39 - 2) + 5449/13. Suppose -p*a - 132 = -421*a. Calculate the remainder when 658 is divided by a. 64 Let u(t) = -44*t + 450. What is the remainder when u(-13) is divided by 8? 6 Let p(k) = 15*k + 13. Let r be p(6). Let v(c) = -5*c - 119. What is the remainder when (-2 - (-5 - -2))*r is divided by v(-28)? 19 Let q = 697 - 680. Suppose -4*m + 133 = 3*b, 14*b - 5*m + 128 = q*b. What is the remainder when 91 is divided by b? 40 Suppose -3*w - 5*k + 211 = 0, 2*w - 119 = 68*k - 67*k. Calculate the remainder when w is divided by 26. 10 Let v = 135 - 59. Suppose -1027*z + 1025*z = 3*w - 416, z - 3*w - 244 = 0. Calculate the remainder when z is divided by v. 68 Suppose -4*r - 16 = 0, -v + 10*v - 3*r = 237. What is the remainder when 3297 is divided by v? 22 Suppose -5*y - i - 416 = 0, 3*i = 17 - 5. Calculate the remainder when y/(-24)*2/1 is divided by 2. 1 Let r be (-2)/4 - 44/(-8). Suppose 2*w = r*w - 21. Calculate the remainder when (193 - 182)/(1/2) is divided by w. 1 Suppose w = 3, 2*l - w + 8 = 19. Let h(v) = v**3 - 34*v**2 - 336*v + 25. What is the remainder when h(42) is divided by l? 4 Let d(v) = -58*v**3 + 9*v**2 + 19*v. Calculate the remainder when d(-2) is divided by 15. 12 Suppose -6*z - 4 = -2*z. Let f = 26 + z. Let j = -34 - -80. Calculate the remainder when j is divided by f. 21 Suppose -868 = 647*j - 661*j. Suppose -2*v + j = 3*o + 24, -2*v + 26 = 2*o. Calculate the remainder when 58 is divided by o. 10 Suppose 197 = 3*k - 13*h + 11*h, 5*k + 2*h = 307. What is the remainder when k is divided by 16? 15 Let a(o) = -2*o**2 + 19*o + 6. Let b be a(10). Let f be 1*(-164)/(-1) - b. Suppose -5*p - 5 + f = d, -4 = -4*p. Calculate the remainder when d is divided by 54. 50 Suppose 2*v - 820 = 165 - 295. What is the remainder when v is divided by 125? 95 Suppose -2*k - 3*k = -90. Suppose -s + 173 = 5*j, s - 3*s = 4*j - 136. Suppose -10*z + 17*z - j = 0. Calculate the remainder when k is divided by z. 3 Let k = 1667 - 1568. Let h(y) = -y**2 + 7*y - 3. Let c be h(6). Suppose -c*v = -5*v + 40. What is the remainder when k is divided by v? 19 Suppose 2*n = 4*n, 0 = -5*s + 2*n - 1645. Let o = -62 - s. Calculate the remainder when o is divided by 21. 15 Let x = 34 - 4. Let l(a) = 20 - a**3 - 3*a**2 + 15*a - a**2 + 8*a**2 - 5*a. What is the remainder when x is divided by l(6)? 6 Let d be ((3 - (9 - 5))*-158)/2. Suppose f = -0*f. Suppose -a - 40 = -4*m + 264, m - a - d = f. What is the remainder when m is divided by 19? 18 Suppose -7*m + 13776 = 35*m + 70*m. Suppose 4*s - 12 = 0, 2*x - 92 = -4*s - 16. What is the remainder when m is divided by x? 27 Suppose -p = -s + 158, -s + 0*p + 143 = -4*p. What is the remainder when s is divided by 110? 53 Suppose 3 + 13 = -8*s. Calculate the remainder when (426/(-48)*-4)/(s/(-4)) is divided by 27. 17 Suppose 4*x = m + 21, 3*m - 5*x = 14 - 42. Let g = -685 - -693. What is the remainder when -2 + m + 34 + -3 is divided by g? 4 Let k = -97 + 97. Calculate the remainder when k + 146 + -2*(-4)/4 is divided by 50. 48 Let b = -136 + 165. Calculate the remainder when (-45346)/(-112) + 6/48 is divided by b. 28 Let p(r) = r**3 + 186*r - 898. What is the remainder when p(5) is divided by 151? 6 Suppose 89*d = 66*d + 1932. Suppose 8*b - 12*b - 2*a + 84 = 0, 4*b + 5*a - d = 0. Suppose -y + 0*y + 103 = 0. What is the remainder when y is divided by b? 19 Suppose -9*h - 33 + 123 = 0. Calculate the remainder when 62 is divided by h. 2 Suppose 12 = -4*p - 2*l + 6*l, 5*p = -5*l + 35. Suppose 13*f - 24 - p = 0. What is the remainder when 98 is divided by f*(-4)/((-16)/20)? 8 What is the remainder when 846 is divided by (-1)/(-44 + 39 - 714/(-143))? 131 What is the remainder when 650 is divided by 17 - (7 + 25) - -189? 128 Let j = -3858 + 4363. Calculate the remainder when j is divided by 52. 37 Suppose -6*x - 4*x + 190 = 0. Suppose k + 2*g - 296 - 87 = 0, -738 = -2*k + 3*g. Let j = k - 263. Calculate the remainder when j is divided by x. 17 Let m(i) = i + 7. Let g(c) = -c**2 + 9*c + 13. Let o be g(11). Let h be m(o). What is the remainder when 40 is divided by (6/10)/(h/(-50))? 10 Suppose 61*h - 25*h - 13032 = 0. Calculate the remainder when h is divided by 92. 86 What is the remainder when (11/33)/((-61)/(-31842)) is divided by (-87)/(-2) + (-1)/(-2)? 42 Let r(d) = -d**3 + 7*d**2 - 13*d - 6. Let t be r(7). Let g = -65 - t. Suppose -5*x - g = -3*v, x = 5*x - 8. What is the remainder when 41 is divided by v? 13 Suppose 16*w - 42 = 15*w + 4*n, 4*w - 181 = 3*n. Calculate the remainder when 104 is divided by w. 12 Let l(z) = -1 - 17 - 10 + 99*z - 13 + 11. What is the remainder when l(4) is divided by 23? 21 Let t(s) = 117*s + 6. Let u be t(6). Let l = u + -645. What is the remainder when 215 is divided by l? 26 Suppose -114*g - 4313 - 1391 = -145*g. What is the remainder when g is divided by 105? 79 Suppose 1823 = -34*m + 6243. What is the remainder when 428 is divided by m? 38 Suppose -68600 = -2*q - 2*y, -q = 558*y - 559*y - 34284. Calculate the remainder when q is divided by 19. 16 Let a(g) = -g**2 - 2*g + 3. Let m be a(-4). Suppose 0 = -t + 4 + 3. Let o = t - m. What is the remainder when 45 is divided by o? 9 Let n = 2366 + -1423. What is the remainder when n is divided by 79? 74 Suppose -4517*m + 4546*m - 1914 = 0. Let t = 29 - 63. Let i = t + 51. Calculate the remainder when m is divided by i. 15 Calculate the remainder when 80 is divided by (10/(-2))/((-2)/((-264)/(-55))). 8 Calculate the remainder when 399 is divided by (-11 + 1)/((4/(-6))/(150/225)). 9 Suppose -561 = -3*a + 4*p, -394 = -3*a + a - 4*p. What is the remainder when a is divided by 167? 24 Let k = 24 + -5. Suppose -2*m = -0*m - 12. Suppose -y + 0 + m = -5*r, 0 = 2*r - 2. What is the remainder when k is divided by y? 8 Calculate the remainder when ((-460)/(-92))/(1 + 0 + 300/(-302)) is divided by 75. 5 Let k(w) = -140*w - 8784. What is the remainder when 8063 is divided by k(-63)? 35 Let j = -196 - -196. Suppose -q + 7 = 3*n, 17 = 2*q - j*q + 5*n. What is the remainder when 155 is divided by q? 11 Let v = -3 + 13. Suppose -v*n - 4*n = -168. Suppose 387 = 4*h + 111. Calculate the remainder when h is divided by n. 9 Suppose 0*j - 6*j - 312 = 0. Let h = -41 - j. What is the remainder when 53 is divided by h? 9 Let m(w) = w**3 + 13*w**2 - 3*w - 10. Let x be m(-13). Let g = -46 - -176. Let a = g - x. What is the remainder when a is divided by 17? 16 Suppose 0*n - 5*p + 2035 = 5*n, 5*n = 3*p + 2011. Let g = n - 331. What i
{ "pile_set_name": "DM Mathematics" }
(t - 30)*(t - 27)*(t - 2)/7 Factor 3*s**2/4 - 45*s/2 - 462. 3*(s - 44)*(s + 14)/4 Determine b, given that -2*b**3/13 + 2492*b**2/13 - 315330*b/13 + 10550376/13 = 0. 69, 1108 Suppose 2*q**5/15 - 76*q**4/15 + 1048*q**3/15 - 6644*q**2/15 + 1306*q - 1440 = 0. Calculate q. 3, 5, 9, 16 Factor 2*k**3 + 132658*k**2 + 2199701790*k - 2199834450. 2*(k - 1)*(k + 33165)**2 Suppose 4*a**2 + 94348*a = 0. What is a? -23587, 0 Factor 2*c**3/3 - 79798*c**2/3 + 796004998*c/3 - 795925202/3. 2*(c - 19949)**2*(c - 1)/3 Determine s, given that -2*s**5 - 24*s**4 - 10*s**3 + 132*s**2 = 0. -11, -3, 0, 2 Suppose -2*o**5/7 - 8990*o**4/7 - 17972*o**3/7 + 4*o**2/7 + 17974*o/7 + 8986/7 = 0. Calculate o. -4493, -1, 1 Find c, given that -4*c**4/7 - 3016*c**3/7 - 12020*c**2/7 - 2144*c - 6000/7 = 0. -750, -2, -1 Suppose 2*t**4/9 + 722*t**3/9 + 3508*t**2/3 + 5560*t + 8304 = 0. Calculate t. -346, -6, -3 Factor 3*y**2 - 19*y - 154. (y - 11)*(3*y + 14) Find b such that -14*b**5/5 - 276*b**4/5 + 2516*b**3/5 - 1248*b**2 + 4986*b/5 - 972/5 = 0. -27, 2/7, 1, 3 Factor -2*k**3/11 - 44534*k**2 - 29997801782*k/11 - 89988996534/11. -2*(k + 3)*(k + 122467)**2/11 Factor -2*r**4 + 790*r**3 + 1588*r**2. -2*r**2*(r - 397)*(r + 2) Suppose a**4/4 + 33*a**3 + 1020*a**2 - 4624*a = 0. Calculate a. -68, 0, 4 Factor 5*o**4 + 4275*o**3 - 17160*o**2 + 17180*o. 5*o*(o - 2)**2*(o + 859) What is a in 121801*a**5/6 - 123197*a**4/6 - 364703*a**3/3 + 4186*a**2/3 - 4*a = 0? -2, 0, 2/349, 3 What is m in 4*m**3 - 432*m**2 - 137676*m - 6213592 = 0? -77, 262 Solve -5*v**3 - 173545*v**2 = 0 for v. -34709, 0 Solve 3*q**2 + 61593*q/2 - 15399 = 0 for q. -10266, 1/2 Let 5*r**5 - 520*r**4 + 9515*r**3 + 49500*r**2 - 58500*r = 0. What is r? -5, 0, 1, 30, 78 Find x, given that 4*x**2 + 328164*x = 0. -82041, 0 Find a such that -2*a**2/3 - 20924*a/3 = 0. -10462, 0 What is x in -15277*x**3 + 229157*x**2 + 244402*x - 32 = 0? -1, 2/15277, 16 Factor -t**3/4 + 77*t**2/4 + 349*t - 368. -(t - 92)*(t - 1)*(t + 16)/4 Factor 2*t**2/5 + 694*t - 3472/5. 2*(t - 1)*(t + 1736)/5 Suppose 1352*w**2/5 + 7176*w + 47610 = 0. Calculate w. -345/26 Solve 3*k**2 - 1839*k + 14520 = 0. 8, 605 Determine i so that -i**3/3 + 260*i**2/3 + 2679*i + 2592 = 0. -27, -1, 288 Factor l**2 + 240*l + 11036. (l + 62)*(l + 178) What is q in -3*q**5/4 + 15*q**4/2 + 75*q**3/4 - 15*q**2/2 - 18*q = 0? -2, -1, 0, 1, 12 Factor -417*f**4 - 411*f**3 + 6*f**2. -3*f**2*(f + 1)*(139*f - 2) Find n such that 2*n**3/11 - 68*n**2/11 - 310*n + 7076/11 = 0. -29, 2, 61 Factor -5*i**2 - 24740*i - 123575. -5*(i + 5)*(i + 4943) Let -4*f**3/3 + 8*f**2/3 + 284*f - 840 = 0. Calculate f. -15, 3, 14 Solve 4*r**3 + 8*r**2 - 2844*r + 8352 = 0. -29, 3, 24 Factor y**2/4 - 1567*y + 6267/4. (y - 6267)*(y - 1)/4 Suppose 46*g**5 + 11312*g**4 - 12392*g**3 - 10324*g**2 + 12346*g - 988 = 0. Calculate g. -247, -1, 2/23, 1 Determine a, given that 6*a**4 + 532*a**3 + 998*a**2 - 3616*a + 2080 = 0. -260/3, -4, 1 Let 2*l**4/13 + 1496*l**3/13 - 15182*l**2/13 - 16676*l/13 = 0. What is l? -758, -1, 0, 11 What is j in -3*j**5/5 + 1014*j**4 - 2162271*j**3/5 + 17075712*j**2/5 - 42517596*j/5 + 33949488/5 = 0? 2, 4, 841 Factor -2*g**2 - 28*g + 53694. -2*(g - 157)*(g + 171) Factor 2*b**3 - 20*b**2 - 214*b - 408. 2*(b - 17)*(b + 3)*(b + 4) Find h, given that -h**3/2 - 3157*h**2/2 - 852455*h/2 - 60278675/2 = 0. -2867, -145 Solve 4*b**3/5 + 3484*b**2/5 + 3464*b = 0. -866, -5, 0 Determine h, given that -2*h**4/13 - 4880*h**3/13 - 1404900*h**2/13 - 142884000*h/13 - 4919906250/13 = 0. -2125, -105 Suppose 3*p**4 + 499971*p**3/5 + 4166033346*p**2/5 - 2499999996*p/5 - 1666533336/5 = 0. What is p? -16666, -2/5, 1 Factor f**4/8 + 199*f**3/4 + 39197*f**2/8 - 10150*f - 15000. (f - 3)*(f + 1)*(f + 200)**2/8 Suppose 2*i**3/7 + 2*i**2/7 - 1992*i/7 + 3960/7 = 0. What is i? -33, 2, 30 Factor -5*a**3 + 305*a**2 + 158250*a. -5*a*(a - 211)*(a + 150) Let -2*a**3/5 - 3166*a**2/5 + 1268*a = 0. What is a? -1585, 0, 2 Let 2*p**3/3 - 878*p**2/9 - 2032*p/3 - 408 = 0. What is p? -6, -2/3, 153 Factor 5*q**3 - 50*q**2 - 43405*q - 257550. 5*(q - 101)*(q + 6)*(q + 85) What is v in -75*v**5/2 + 870*v**4 - 7347*v**3/2 + 2709*v**2 + 4158*v + 972 = 0? -2/5, 3, 18 Determine p, given that -3*p**4 + 96*p**3 + 13986*p**2 - 821400*p + 12004761 = 0. -79, 37 Solve -l**5/2 - 5*l**4/2 + 105*l**3 + 220*l**2 - 832*l = 0 for l. -16, -4, 0, 2, 13 Factor 2*i**2/19 + 11986*i/19 - 96016/19. 2*(i - 8)*(i + 6001)/19 Factor a**2/2 - 9485*a/2 + 42642. (a - 9476)*(a - 9)/2 Find t such that 24*t**5/11 + 2426*t**4/11 + 62600*t**3/11 + 64998*t**2/11 - 200*t/11 - 5000/11 = 0. -50, -1, -1/3, 1/4 Factor 4*i**2 - 1080*i - 18304. 4*(i - 286)*(i + 16) Suppose 5*t**5 - 75*t**4 + 290*t**3 - 420*t**2 + 200*t = 0. Calculate t. 0, 1, 2, 10 Factor -2*r**3/9 + 226*r**2/9 + 1442*r/9 - 1666/9. -2*(r - 119)*(r - 1)*(r + 7)/9 Factor 5*m**3 + 23380*m**2 + 140140*m + 186800. 5*(m + 2)*(m + 4)*(m + 4670) Find a such that 16*a**3 + 9556*a**2 + 1413600*a - 3960000 = 0. -300, 11/4 Factor -q**2 + 186*q + 567. -(q - 189)*(q + 3) Factor -2*w**3 + 39684*w**2 - 79354*w - 119040. -2*(w - 19840)*(w - 3)*(w + 1) Suppose -6*l**5 + 28*l**4 + 122*l**3 - 416*l**2 - 216*l + 288 = 0. What is l? -4, -1, 2/3, 3, 6 Factor n**2/2 + 461*n/2 - 16506. (n - 63)*(n + 524)/2 Find g such that g**2/3 + 2147*g/3 - 2868 = 0. -2151, 4 Factor 2*m**2/9 + 32*m - 3848. 2*(m - 78)*(m + 222)/9 Factor -j**4/5 + 472*j**3/5 - 23544*j**2/5 + 412128*j/5 - 2437776/5. -(j - 418)*(j - 18)**3/5 Factor -h**2/10 + 593*h/10 + 4249/5. -(h - 607)*(h + 14)/10 Solve 3*l**3 + 7623*l**2 + 4434597*l - 528747423 = 0 for l. -1321, 101 Factor 4*t**3 - 1180*t**2 - 4804*t + 5980. 4*(t - 299)*(t - 1)*(t + 5) Determine d so that 1428*d**5 + 134696*d**4 - 230544*d**3 - 87584*d**2 - 3072*d = 0. -96, -2/7, -2/51, 0, 2 Let 20*k**2 + 23801092*k - 9520440 = 0. Calculate k. -1190055, 2/5 Suppose -r**3/3 + 40*r**2/3 + 1243*r/3 + 7502/3 = 0. What is r? -11, 62 Suppose 3*q**2 + 7105158*q + 4206939183747 = 0. What is q? -1184193 Determine s, given that -9*s**2 - 24045*s - 16026 = 0. -2671, -2/3 Factor -v**2/2 - 107*v - 4800. -(v + 64)*(v + 150)/2 Factor 3*n**2/7 - 23208*n/7 + 44884272/7. 3*(n - 3868)**2/7 Factor l**3/2 + 101*l**2/2 - 3641*l/2 - 3741/2. (l - 29)*(l + 1)*(l + 129)/2 Factor -2*w**4/17 + 13512*w**3/17 - 81024*w**2/17 + 162016*w/17 - 108000/17. -2*(w - 6750)*(w - 2)**3/17 Factor -5*v**3 + 61315*v**2 - 190013680*v + 12457177340. -5*(v - 6098)**2*(v - 67) Factor -3*i**3/5 + 12864*i**2/5 + 12867*i/5. -3*i*(i - 4289)*(i + 1)/5 Find i, given that 5*i**5 - 1010*i**4 + 53960*i**3 - 299920*i**2 + 584080*i - 384160 = 0. 2, 98 Solve -5*c**3 - 970*c**2 + 2945*c - 1970 = 0 for c. -197, 1, 2 Suppose 4*p**2 + 28176*p - 56368 = 0. What is p? -7046, 2 Let 4*d**3 - 7004*d**2 + 2998380*d + 59525100 = 0. Calculate d. -19, 885 What is w in 3*w**4 - 378*w**3 - 108141*w**2 + 327024*w - 218508 = 0? -139, 1, 2, 262 Factor -2*w**2/3 + 15428*w/3 - 29752898/3. -2*(w - 3857)**2/3 Suppose -2*y**4/7 - 130*y**3/7 - 334*y**2 - 8030*y/7 + 1500 = 0. What is y? -35, -25, -6, 1 Factor 3*v**2/5 + 75162*v/5 + 470777187/5. 3*(v + 12527)**2/5 Determine o, given that o**5 + 72*o**4 + 1062*o**3 - 8428*o**2 + 13377*o - 6084 = 0. -39, 1, 4 Factor 5*l**3 + 16700*l**2 + 66740*l + 66720. 5*(l + 2)**2*(l + 3336) Factor -3*t**3/7 + 13470*t**2/7 - 13467*t/7. -3*t*(t - 4489)*(t - 1)/7 What is j in -9*j**4/2 - 3264*j**3 - 159591*j**2/2 + 3264*j + 79800 = 0? -700, -76/3, -1, 1 Find s, given that 2*s**4/7 - 14366*s**3/7 + 12306*s**2 - 129194*s/7 + 57416/7 = 0. 1, 4, 7177 Suppose -13*h**2/5 + 176*h/5 - 576/5 = 0. Calculate h. 72/13, 8 Let 2*y**2 - 20362*y - 61104 = 0. Calculate y. -3, 10184 Let b**3 - 27443*b**2/3 + 62755280*b/3 + 20921476/3 = 0. Calculate b. -1/3, 4574 Factor t**2/6 - 2110*t/3 + 4219/6. (t - 4219)*(t - 1)/6 Let -4*a**4/9 + 100276*a**3/9 - 93096980*a**2 + 2332916954396*a/9 + 4669186202344/9 = 0. Calculate a. -2, 8357 Factor r**3/5 - 208*r**2/5 - 1061*r/5 - 852/5. (r - 213)*(r + 1)*(r + 4)/5 Let 2*a**3/7 + 194*a**2/7 + 5310*a/7 + 4050 = 0. Calculate a. -45, -7 Factor 5*z**4 - 1880*z**3 + 176595*z**2 + 47000*z - 4418000. 5*(z - 188)**2*(z - 5)*(z + 5) Suppose -4*k**2 + 1154436*k + 2308888 = 0. Calculate k. -2, 288611 What is f in 3*f**3 - 18*f**2 - 1767*f + 1782 = 0? -22, 1, 27 What is b in 2
{ "pile_set_name": "DM Mathematics" }
o(a) = 4592*a**2 - 24*a - 1621. Let c(t) = 3*t**2 - 3*t + 2. Let k(f) = 8*c(f) - o(f). Differentiate k(v) with respect to v. -9136*v What is the third derivative of 4425*n - 1057 - 374*n**4 - 4424*n + 192 - 3*n**2 wrt n? -8976*n Let h(m) = 33455*m**5 - 9*m**3 - 7087*m + 9. Let w(k) = -8364*k**5 + 2*k**3 + 1772*k - 2. Let g(s) = -2*h(s) - 9*w(s). Find the second derivative of g(n) wrt n. 167320*n**3 Let o(n) = 135*n**2 + 2*n - 1. Let i(k) = -5688*k**2 - 6199*k - 2. Let f(r) = -i(r) + 2*o(r). What is the second derivative of f(h) wrt h? 11916 Let u(v) be the first derivative of 579*v**4/4 + 478*v - 1031. Differentiate u(o) wrt o. 1737*o**2 What is the derivative of -3015 - 496*t - 3*t**2 - 800 - 4*t**2 + 499*t + 3*t**2 wrt t? -8*t + 3 Suppose -2*o + 2*i = 3*i - 37, 4*i - 46 = -2*o. Let n(c) be the second derivative of -11/12*c**4 + 0 + o*c + 4*c**2 + 0*c**3. Differentiate n(k) wrt k. -22*k Suppose 2*p = 139 - 135. Find the third derivative of 158*v**4 - 132*v**p + 247*v**4 - 542*v**4 wrt v. -3288*v Suppose 2 = 5*z + 5*o - 3, -5*z + 3*o = 27. Let v be 6/4*(-8)/z. Find the second derivative of -140*k + 136*k + 4*k**4 + 12*k**v wrt k. 192*k**2 Let f(u) = -24*u**4 - 353*u**3 - 41*u + 26. Let m(v) = 14*v**4 + 176*v**3 + 21*v - 14. Let j(n) = -3*f(n) - 5*m(n). What is the second derivative of j(g) wrt g? 24*g**2 + 1074*g Let w(d) be the second derivative of 103*d**7/3 + 411*d**4/4 - 914*d. What is the third derivative of w(m) wrt m? 86520*m**2 Let b(t) be the third derivative of 1699*t**4/6 - 3589*t**3/6 - 24*t**2 + 106*t. What is the first derivative of b(u) wrt u? 6796 Let i(q) = q**3 - 9*q**2 - 12*q + 24. Let l be i(10). Suppose 3*w + l = 5*w. What is the derivative of -1650*p + w + 38 + 1659*p wrt p? 9 Let a(r) be the second derivative of -r**6/10 - 5*r**4 + 509*r**3/2 + 489*r. What is the second derivative of a(s) wrt s? -36*s**2 - 120 Let s(x) be the third derivative of -7/24*x**4 + 0*x**5 + 169/120*x**6 + 0*x - 75*x**2 + 5/3*x**3 + 0. What is the second derivative of s(j) wrt j? 1014*j Find the second derivative of -7*m**3 + 35*m**3 + 1363*m - m + 10*m**3 - 11*m**2 wrt m. 228*m - 22 What is the third derivative of -101*m**2 + 198*m**2 + 3*m**6 - 10*m**4 + 5*m**3 - 2*m**3 - 1697*m - 95*m**2 + 14*m**6 wrt m? 2040*m**3 - 240*m + 18 Let d(z) = -50*z + 111. Let h(v) = -1 - 2 + 0 + v + 2. Let j(u) = d(u) + 3*h(u). What is the derivative of j(s) wrt s? -47 Let l(r) be the third derivative of 411*r**8/56 + 323*r**5/20 - r**4/24 + 72*r**2. Find the third derivative of l(h) wrt h. 147960*h**2 Let t(n) = -n**3 - n**2 + 14. Let v(f) = -9*f**3 + 5*f**2 + 20*f + 457. Let c(l) = -5*t(l) - v(l). Differentiate c(q) with respect to q. 42*q**2 - 20 Let o(k) be the first derivative of 629*k**4/2 - 61*k + 1104. What is the first derivative of o(g) wrt g? 3774*g**2 Let q(m) be the first derivative of 1/3*m**3 + 3*m**2 + 0*m - 9/4*m**4 - 4/5*m**5 - 54. Find the third derivative of q(r) wrt r. -96*r - 54 What is the derivative of -13223 + 5309*v + 7582 + 38*v wrt v? 5347 Let i(s) be the third derivative of 521*s**4/12 + 373*s**3 - 931*s**2. What is the first derivative of i(p) wrt p? 1042 Let b(s) be the third derivative of -s**9/24 - s**6/24 - s**5/30 - 49*s**3/3 + 1020*s**2. What is the third derivative of b(a) wrt a? -2520*a**3 - 30 Let u = 19 - -4. What is the first derivative of -2*t**2 + 27 + u - 84 + 21 + 3*t**3 wrt t? 9*t**2 - 4*t Let c(g) be the second derivative of -1 + 17/12*g**4 - 1/10*g**5 + 1/6*g**3 - 29*g + 0*g**2 + 7/30*g**6. What is the third derivative of c(i) wrt i? 168*i - 12 Suppose v - 79 = 4*h, 3*h = -8 + 23. What is the first derivative of v - 68 + 67*s + 42 wrt s? 67 Let z = -34 - -83. What is the first derivative of 48 + 51*b + z*b - 52*b + 41*b wrt b? 89 Let u = -823 - -826. Differentiate -610*q**u + 353*q**3 + 317*q**3 - 209 + q wrt q. 180*q**2 + 1 Let d(w) be the third derivative of -1231*w**9/504 - w**7/210 - w**6/60 - 6137*w**5/60 - 4*w**2 - 61*w + 3. Find the third derivative of d(o) wrt o. -147720*o**3 - 24*o - 12 Let i(c) be the first derivative of 1116*c**5/5 + 578*c**3/3 - 2*c + 1. Find the third derivative of i(m) wrt m. 26784*m Let p be (13 - 0) + (-25 - -16). Let r(g) be the third derivative of 1/30*g**5 + 0*g - 3/2*g**p + 0*g**3 + 0 + 4*g**2. Find the second derivative of r(y) wrt y. 4 Suppose -4*i + 4 = k, -5*k - 39 = 4*i - 107. What is the first derivative of -12 - k + 3 - 12*p - 30*p wrt p? -42 Let u = -19 - -34. Suppose -2*n + 7 = -u. Differentiate -16 - x**4 - 13*x**4 + n with respect to x. -56*x**3 What is the third derivative of 69*j - 1601 + 84637*j**6 - 6*j**5 + 2*j**2 - 69*j - 7*j**3 - 84633*j**6 wrt j? 480*j**3 - 360*j**2 - 42 Let g = 217 - 129. What is the third derivative of g*a**4 - 25*a**2 - 85*a**4 - 79*a**2 + 7*a**3 wrt a? 72*a + 42 Let a = -8 - 36. Let y be (a + 40)*(0 + 3/(-4)). What is the third derivative of 529*v**2 + 1 - 520*v**2 - 16*v**y - 1 wrt v? -96 Let n = -43 - -65. Suppose -19*m - 48 = -n*m. What is the third derivative of -m*x**3 + 2 - 2 - 13*x**2 wrt x? -96 Suppose 3*q + 196 = 2*g + 5*q, 4*g = -5*q + 392. Find the first derivative of -108*l**2 - g + 170*l - 170*l wrt l. -216*l Let c = 37 + -16. Let n = 27 - c. What is the second derivative of -4*d**4 - 6*d**4 - n*d + d**4 - 8*d wrt d? -108*d**2 Let l(h) be the second derivative of -259*h**8/2 - h**4/6 + 29*h**2 + 16*h + 104. What is the third derivative of l(b) wrt b? -870240*b**3 What is the second derivative of 321*v + 256*v + 226044*v**4 - 228998*v**4 + 303*v - 269*v wrt v? -35448*v**2 Let i be 10 + -13 - (-3 + -2). Find the third derivative of 38*o**i - 7817*o + 36*o**3 + 1 + 7817*o wrt o. 216 Suppose -6*r + 7*r - 1 = 0. Let d = 9 + -8. What is the second derivative of 28*t**3 - 9*t - 9*t**3 + d - r wrt t? 114*t Let n(u) be the second derivative of 1/7*u**7 - 59/4*u**4 + 0*u**2 - 3 + 0*u**6 + 3/10*u**5 + 0*u**3 + 44*u. Find the third derivative of n(k) wrt k. 360*k**2 + 36 Let p(b) = -467*b - 1614. Let a(c) = -4*c + 4. Let d(y) = -3*a(y) + p(y). Differentiate d(r) with respect to r. -455 What is the first derivative of -2*f**3 - 7*f + 19*f - 20626 + f**2 - 2*f**3 + 16444 wrt f? -12*f**2 + 2*f + 12 Let b(p) be the second derivative of -313*p**6/10 + p**5/20 - 1847*p**4/12 + 175*p. Find the third derivative of b(c) wrt c. -22536*c + 6 Suppose 0 = -10*n + 4*n + 168. Let a = -25 + n. Find the third derivative of 6*t**6 - t**6 + a*t**6 - 2*t**2 wrt t. 960*t**3 Let f = -166 + 170. What is the second derivative of 63*a**f + 110 + 2*a + a - 115 wrt a? 756*a**2 Let c(v) = 597*v - 665. Let d(h) = 1791*h - 1984. Let b(t) = -17*c(t) + 6*d(t). Find the first derivative of b(z) wrt z. 597 Let j(y) be the second derivative of -68*y + 63/20*y**5 + 0 + 0*y**3 + 1/2*y**4 + 1/2*y**2. What is the third derivative of j(f) wrt f? 378 Let r(n) = 7 - 179*n + 180*n + 51*n**2 + 84*n**2. Let f(b) = 134*b**2 + 4*b + 6. Let o(m) = 7*f(m) - 6*r(m). Find the second derivative of o(d) wrt d. 256 What is the second derivative of 14870*w - 12783*w**5 - 8*w**3 + 31*w**3 + 1287*w**5 - 23*w**3 wrt w? -229920*w**3 Let z(r) be the first derivative of -39*r**5/20 - 45*r**2/2 + 187*r - 177. Let m(o) be the first derivative of z(o). Find the first derivative of m(t) wrt t. -117*t**2 Let w(i) be the third derivative of 2489*i**4/24 + 403*i**3/6 - 481*i**2 + 5*i. Find the first derivative of w(l) wrt l. 2489 Let i(t) = 1841*t**2 - 968*t - 2. Let q(f) = 5*f**2 + 4*f - 1. Let c(o) = i(o) - 2*q(o). What is the second derivative of c(y) wrt y? 3662 Suppose 8*v - 276 = -4*v. What is the second derivative of -65*t**2 - 64*t + v*t - 47*t wrt t? -130 Find the first derivative of -860 + 284*y**2 + 7*y**2 + 605*y**2 wrt y. 1792*y Differentiate -208 + 2411*p**2 + 3094*p**2 - 1608*p**2 wrt p. 7794*p Let b(v) = -690*v**3 + 9*v**2 + 31*v - 4. Let g(s) = 2069*s**3 - 28*s**2 - 92*s + 14. Let z(q) = -7*b(q) - 2*g(q). Find the third derivative of z(m) wrt m. 4152 Let c = -57985/4 + 14506. Let g(p) be the first derivative of 0*p + c*p**4 + 0*p**3 - 12 + 18*p**2. What is the second derivative of g(d) wrt d? 234*d Let h(z) = 73*z**4 - 6*z**3 - 3*z + 2420. Let y(k) = 73*k**4 - 8*k**3 - 3*k + 2420. Let x(u) = -4*h(u) + 3*y(u). Differentiate x(w) wrt w. -292*w**3 + 3 Let j(l) = -662*l**3 - 8*l - 169. Le
{ "pile_set_name": "DM Mathematics" }
-246 -64 Divide -11790 by 5895. -2 Calculate 7245 divided by 161. 45 Calculate -1161 divided by -3. 387 Calculate -5305 divided by 5. -1061 What is -69 divided by -112? 69/112 What is 6 divided by -1792? -3/896 840 divided by 168 5 Divide -590 by -2. 295 What is -440 divided by -44? 10 1286 divided by -2 -643 1512 divided by -24 -63 Calculate -462 divided by 22. -21 Divide -5 by 341. -5/341 Calculate -24 divided by -2. 12 Calculate 6905 divided by 1381. 5 What is 27 divided by 22? 27/22 Calculate 1915 divided by -383. -5 Divide -1 by -116. 1/116 What is -268 divided by 1? -268 -19 divided by -588 19/588 Calculate -1619 divided by -1. 1619 74 divided by 1 74 What is -5 divided by 831? -5/831 What is -3 divided by 78? -1/26 Divide 2 by 4. 1/2 What is -1189 divided by 1? -1189 2 divided by 1266 1/633 Divide 6032 by 4. 1508 -2490 divided by -498 5 What is -1 divided by -1? 1 -139512 divided by -4 34878 Divide -20 by -8. 5/2 4 divided by 166 2/83 5988 divided by 1497 4 Divide 43 by 53. 43/53 Divide 2 by 9. 2/9 1 divided by 1162 1/1162 Calculate -1 divided by 70. -1/70 Calculate 89 divided by 89. 1 Divide -7 by -1439. 7/1439 Calculate 4620 divided by -5. -924 What is -3 divided by 120? -1/40 568 divided by -568 -1 What is -3252 divided by 6? -542 Divide 518 by -5. -518/5 Divide 196 by 7. 28 193 divided by 10 193/10 What is 0 divided by -38? 0 1128 divided by -376 -3 Calculate -207 divided by 3. -69 What is -15 divided by 59? -15/59 Calculate 1565 divided by -313. -5 Divide 175 by 7. 25 What is -183 divided by -61? 3 Divide -3465 by 315. -11 Divide -82 by -1. 82 What is 3096 divided by 18? 172 -90 divided by 6 -15 Calculate 3696 divided by -616. -6 Divide -47 by -27. 47/27 1352 divided by -338 -4 Divide 4 by 3213. 4/3213 Divide 0 by 115. 0 6 divided by -350 -3/175 -190 divided by -4 95/2 Divide 4 by 295. 4/295 -2 divided by 10 -1/5 Divide -2160 by 216. -10 Calculate 1210 divided by 1210. 1 Divide 10 by -16. -5/8 Divide 7 by 1587. 7/1587 Divide 8050 by -1610. -5 -536 divided by 2 -268 Calculate 12 divided by 5. 12/5 -432 divided by 1 -432 Calculate 4 divided by 351. 4/351 16 divided by 2 8 Divide 615 by 8. 615/8 Calculate 4 divided by -193. -4/193 Calculate -182 divided by -2. 91 What is -8874 divided by 29? -306 Divide 7 by -25. -7/25 What is -390 divided by -130? 3 -57 divided by -181 57/181 12369 divided by 1767 7 What is 67 divided by -5? -67/5 5 divided by -4 -5/4 What is 8958 divided by -1493? -6 5 divided by -542 -5/542 Calculate -1799 divided by 1799. -1 Divide 39510 by -7902. -5 What is 4 divided by 192? 1/48 0 divided by -272 0 What is -7202 divided by 3601? -2 Divide -980 by 35. -28 Divide 32338 by 74. 437 What is 253 divided by 11? 23 228 divided by -6 -38 Calculate -53 divided by 5. -53/5 10842 divided by 3614 3 2840 divided by 4 710 What is 782 divided by -1? -782 Calculate 763 divided by 2. 763/2 0 divided by -228 0 4 divided by 1319 4/1319 Calculate -261 divided by 87. -3 Divide -27 by -7. 27/7 Divide 0 by -11. 0 Divide -1521 by 169. -9 738 divided by -6 -123 Divide 475 by -475. -1 Calculate 3804 divided by 951. 4 Divide 4 by -3. -4/3 -2 divided by -535 2/535 Divide -3 by -2106. 1/702 Divide -240 by 48. -5 Calculate -810 divided by 6. -135 What is -90 divided by -3? 30 -26 divided by 83 -26/83 -48 divided by 16 -3 Calculate -772 divided by -4. 193 Calculate -197 divided by 2. -197/2 Divide 663 by 3. 221 Divide 1803 by 3. 601 Calculate -2412 divided by 4. -603 21385 divided by -1 -21385 Divide -894 by -6. 149 What is 953 divided by -5? -953/5 Calculate 522 divided by -29. -18 Calculate 20 divided by -292. -5/73 Divide 520 by 260. 2 Calculate -647 divided by 2. -647/2 Calculate 0 divided by -7. 0 Divide 14 by 1036. 1/74 What is 5622 divided by 2? 2811 What is -57 divided by -57? 1 Calculate 11310 divided by 5. 2262 Divide -1 by -131. 1/131 Calculate 8 divided by -130. -4/65 What is -6 divided by 4? -3/2 -1 divided by -2665 1/2665 -159 divided by 34 -159/34 What is 585 divided by 585? 1 What is 26226 divided by 186? 141 Divide -1369 by 37. -37 What is -3924 divided by 4? -981 360 divided by 90 4 Divide 0 by 122. 0 What is -511 divided by 4? -511/4 -11163 divided by -183 61 Divide -131 by 10. -131/10 -1700 divided by -340 5 Divide -1166 by 11. -106 Divide -2 by -63. 2/63 -3972 divided by -1324 3 Calculate -7712 divided by 1. -7712 What is 5 divided by -909? -5/909 Divide -10 by 122. -5/61 2 divided by 132 1/66 Calculate 6054 divided by 2. 3027 3782 divided by 6 1891/3 What is -630 divided by -126? 5 9646 divided by 53 182 -136 divided by 68 -2 Calculate 2 divided by -55. -2/55 Divide -4 by 10. -2/5 Divide -5 by -24. 5/24 Divide 2 by -7. -2/7 1911 divided by -637 -3 What is 104 divided by -3? -104/3 -195 divided by -39 5 Divide 3 by -691. -3/691 Calculate -665 divided by 5. -133 Divide -456 by 8. -57 Calculate 0 divided by 1681. 0 -6 divided by 224 -3/112 What is 0 divided by -424? 0 Divide -1863 by 9. -207 Divide -169908 by 6. -28318 Calculate -644 divided by -14. 46 86 divided by -31 -86/31 Calculate -2840 divided by -20. 142 6 divided by 77 6/77 Calculate 355 divided by 5. 71 What is -70 divided by -18? 35/9 Calculate 344 divided by -86. -4 -5451 divided by 2 -5451/2 Calculate 1319 divided by 2. 1319/2 Divide 3327 by -1109. -3 What is -2 divided by -13? 2/13 What is -10 divided by -116? 5/58 What is 0 divided by 352? 0 Calculate 1174 divided by -4. -587/2 Divide -4884 by 2. -2442 What is 1 divided by 38? 1/38 Divide -14799 by 4. -14799/4 Divide -4182 by 1394. -3 4885 divided by 5 977 Divide -3 by 91. -3/91 Divide 14 by 500. 7/250 956 divided by -4 -239 -18 divided by 66 -3/11 What is 3 divided by -46? -3/46 Divide 110 by 22. 5 Calculate 135 divided by -45. -3 Calculate 24 divided by 24. 1 33822 divided by -6 -5637 Divide 29379 by -3. -9793 What is -4 divided by 22? -2/11 Calculate 1708 divided by -61. -28 Divide 232 by 58. 4 What is 20268 divided by -6? -3378 3783 divided by -13 -291 30 divided by 15 2 -1898 divided by -1 1898 Calculate 4062 divided by 3. 1354 Divide 166 by 4. 83/2 Divide 16592 by -4. -4148 Divide 9294 by 6. 1549 Calculate -2 divided by -267. 2/267 Divide -861 by 123. -7 -7 divided by -39 7/39 5660 divided by -1132 -5 1189 divided by 4 1189/4 What is -602 divided by 16? -301/8 What is 0 divided by 161? 0 Divide 1701 by 3. 567 Divide -5 by -129. 5/129 Divide 4788 by 6. 798 Calculate 10335 divided by -265. -39 What is 5 divided by 67? 5/67 Calculate -1 divided by -120. 1/120 Calculate -426 divided by -213. 2 -24 divided by -60 2/5 Calculate 382 divided by -1. -382 What is 342 divided by 3? 114 Divide 33368 by -6. -16684/3 12 divided by 161 12/161 1971 divided by -3 -657 Divide 51 by -451. -51/451 2 divided by -210 -1/105 What is -1 divided by -318? 1/318 Calculate 8 divided by -194. -4/97 -261 divided by 29 -9 Divide 5 by -74. -5/74 32300 divided by -5 -6460 Calculate -1795 divided by 5. -359 110 divided by -110 -1 Divide 4 by 13. 4/13 Divide 18519 by -3. -6173 -2771 divided by -2 2771/2 -5 divided by 320 -1/64 -57 divided by -119 57/119 4 divided by 1804 1/451 -15864 divided by 3966 -4 3234 divided by 14 231 -10144 divided by 634 -16 Calculate 1150 divided by 575. 2 Divide 5808 by -968. -6 Calculate 1 divided by -16. -1/16 What is 0 divided by 83? 0 Divide -1 by 3. -1/3 -876 divided by -6 146 Divide 17 by -90. -17/90 What is -1140 divided by -228? 5 Calculate 16014 divided by 3. 5338 Divide -450 by -1. 450 -5586 divided by 798 -7 Divide 1398 by -699. -2 Calculate -240 divided by -40. 6 56 divided by 14 4 Calculate -3480 divided by -29. 120 Calculate -55 divided by 4. -55/4 Divide 1596 by -798. -2 Calculate -8 divided by -206. 4/103 Calculate 232 divided by 58. 4 53 divided by -2 -53/2 What is -18 divided by 153? -2/17 What is 34 divided by -276? -17/138 What is -764 divided by -1? 764 0 divided by 44 0 What is 85188 divided by -3? -28396 -156 divided by 2 -78 362 divided by 181 2 Divide -120 by -34. 60/17 What is -1018 divided by -509? 2 -839 divided by 4 -839/4 Divide 5 by -198. -5/198 Divide 1352 by -4. -338 -2200 divided by -4 550 -479 divided by 18 -479/18 Divide 7144 by 4. 1786 Divide 187 by -3. -187/3 Calculate 5337 divided by 593. 9 Divide -2016 by -36. 56 What is 1468 divided by 367? 4 Divide -1 by 54. -1/54
{ "pile_set_name": "DM Mathematics" }
ose j*r + 1 = -4*u, 0 = -r + 2*u + 1 + 10. Let f be (-9)/42*-22 + 6/21. Solve -f*c + 23 - r = 0 for c. 4 Suppose 3*z - 8 = -z. Suppose -35*i + 40*i = 0. Suppose 10 = -3*g + 16. Solve i = g*p + z*p for p. 0 Let j(l) = 2*l - 3. Let d(s) = -2*s + 2. Let y(g) = 4*d(g) + 3*j(g). Let n be y(-2). Suppose 0 = -n*k - 0 + 6. Solve 7 - k = 5*c for c. 1 Let l be (-26)/(-8) - 2/8. Suppose l*f - 36 = f. Solve -3*j = -f + 3 for j. 5 Suppose -14*a + 10*a = -4*j - 16, -20 = -3*a - 5*j. Solve a*q + 11 = -4 for q. -3 Suppose 27 = -4*i + 47. Suppose -i*z - 12 + 77 = 0. Let j = z + 2. Solve -3*l = 2*l - j for l. 3 Let g(d) = -d**3 - 3*d**2 + 10*d. Let o be g(-5). Suppose o = -3*p - 3*t, -5*p = -0*p + t. Solve k = -3 - p for k. -3 Suppose 0*h = -2*h + 106. Let m = -49 + h. Solve m*a + 12 = 32 for a. 5 Let p = -31 + 33. Suppose -p - 2 = -2*u, 2*z - 4*u = 18. Suppose 3*r + 1 = -4*y + z, 4*y - 4*r = -16. Solve y*i - i - 1 = 0 for i. -1 Let j = 55 - 46. Solve 5*b + j = 19 for b. 2 Suppose -g + 5*x - 3 = -3*g, -g + 14 = 5*x. Let a(t) = -t**2 - 11*t - 6. Let j be a(g). Let p be 9*-1*2/j. Solve 0 - 6 = -p*b for b. 2 Let x be (2*15/18)/(30/252). Solve 5*f + 6 = -x for f. -4 Suppose 111 = 5*m + 3*s, 2*s = 2*m - 3*s - 63. Let u = 8 - m. Let o(b) = b + 16. Let t be o(u). Solve t = -3*x + 12 for x. 4 Suppose 4*z = -3*d + 13, -3*d - 5*z + 3*z = -11. Solve 7 - 22 = -d*p for p. 5 Let d(o) = -o + 10. Suppose 12 + 8 = 2*p. Let k be d(p). Solve -6*y + y - 20 = k for y. -4 Let a be (2 - (-10)/(-6))*30. Let f be (-5)/(-2) - 15/a. Suppose -f = 2*l + 3*r, -4*l - 3*r + 2 = l. Solve -l = 3*j - 7 for j. 2 Let i be (581/49 - 9)*(-7)/(-2). Let q = -1 + 7. Let z = i + q. Solve 2*b - z = 6*b for b. -4 Suppose -r - 5*p + 1 = -5, -4*p = 4*r - 72. Let n be (7/r)/((14/(-12))/(-7)). Solve n*l - 15 = -3*l for l. 3 Suppose 4*g - 25 = -g. Suppose 25 + 46 = 5*m - x, -4*x + 66 = g*m. Solve -m + 4 = -5*z for z. 2 Let u = 16 + 12. Suppose u*b = 24*b. Solve x - 5 + 0 = b for x. 5 Let h be (1 - 0)/(1/(-23)). Suppose -2*i - 7*t = -3*t - 72, -109 = -4*i - t. Let j = i + h. Solve 0 = j*l - l - 6 for l. 3 Let o = -192 - -201. Solve 0 = 4*k - o - 11 for k. 5 Suppose -2*w + 12 = -3*v, 11*w - 12*w = -5*v - 6. Solve -w = -t - 5 for t. 1 Suppose 6 = -h - 5*j - 2, 6 = h - 2*j. Suppose 4*v + h = 6. Let k be 88/22 + -2 + v. Solve -22 - k = 5*b for b. -5 Suppose -3*x = -6 - 21. Solve -x*b + 4 = -8*b for b. 4 Let s = -13 + 27. Suppose 30 = -8*d + s*d. Solve d*k - 2*k = 9 for k. 3 Let b be -3 + (2*-4)/(-2). Let u be (2 + -9)/(b - 2). Solve 5*d = -8 - u for d. -3 Suppose -w = 4*m - 1, -w + 4 = -4*m + 11. Let d = -1 + -1. Let s be d + (w + 4)*9. Solve 4*z + s = -1 for z. -2 Let l be 1*(2 + -3)/(-1). Suppose 3*t - 64 = -5*z, 3*z - 28 + 68 = t. Suppose -t = r - 5*r. Solve -4*x + r = -l for x. 2 Let d(f) = -f**3 + 7*f**2 + 5*f - 35. Let u be d(7). Solve 0 = -6*c - u - 12 for c. -2 Let n = 374 + -367. Solve 12 = -n*w - 2 for w. -2 Suppose -65 = -147*q + 142*q. Suppose 0 = 7*y - 1 - q. Solve y*n + n = 0 for n. 0 Let n be 103/(-7) - (-18)/(-63). Let w be (-33)/n + 3/(-15). Suppose -v + 9 = w*u - 0*u, 3*u - 31 = -5*v. Solve -3*o = -u*o for o. 0 Let m = -97 + 100. Suppose -l = q - 3*l - 6, -q + m*l + 7 = 0. Let u(t) = t**3 - 4*t**2 + 2. Let x be u(4). Solve -2*z + q*z = x for z. 1 Suppose 0 = 4*y - 2*f - 32, y = 2*y + 2*f - 18. Suppose 6*o + 16 = y*o. Solve o = -2*m - 0*m for m. -2 Suppose k - 2*k + 12 = -2*q, 3*k - 3*q = 42. Let g be (9/6)/(12/k). Suppose -4*z + g*d + 36 = 0, 0 = 2*d - d. Solve 5*u - z = 16 for u. 5 Let u(o) = -8*o - 14. Let k(l) = 7*l + 13. Let t(f) = 7*k(f) + 6*u(f). Let q be t(-7). Let x(a) = -a**2 - 3*a + 4. Let i be x(1). Solve i*h + h = q for h. 0 Let z(u) = -6*u**2 - 153*u + 93. Let j(n) = 2*n**2 + 51*n - 31. Let v(m) = 11*j(m) + 4*z(m). Let q be v(-26). Solve q*k - 2*k = 0 for k. 0 Let z be ((-9)/(-15))/((-1)/(-10)). Suppose m + 18 = 2*k - z, -4*k + 5*m + 60 = 0. Suppose -5*h + 15 = -2*h. Solve k = h*s - 5 for s. 3 Let p(t) = t**2 - 5*t + 6. Let h(x) = x + 8. Let s be h(-4). Let k be p(s). Suppose 3*i - b = 10, 2*b + 16 = -k*b. Solve -7 = -5*j - i for j. 1 Suppose -2*f + 22 = f + 2*a, -3*f = a - 17. Let u = f + 3. Solve -o + u = 3 for o. 4 Let y(l) be the second derivative of l**3/6 - 5*l**2/2 - 22*l. Let i be y(14). Solve o = -4 + i for o. 5 Let w = -41 - -41. Let v be (0/(0 - w - -2))/(-1). Solve 3*i - i = v for i. 0 Suppose 0 = -3*g + 4*g + 29. Let c = g - -31. Suppose 5*y = -4*z - 17, -3*z + 2*y + c = -7*z. Solve 5 = -q + z for q. -3 Suppose 0 = -4*g + 5 - 21. Let f(b) = -5*b - 16. Let h be f(g). Solve -j = -h*j for j. 0 Let u be ((-2)/(-4))/((-3)/(-36)). Suppose -6 = 7*s - 9*s. Let m be 4 - (10/(-2) + s). Solve u*n - m = 3*n for n. 2 Let i = -631 + 660. Solve -i*f + 2 = -27*f for f. 1 Let r be 27/(-2)*8/(-12). Let t = 6 - r. Let f be t*4/(-30)*15. Solve 0 = -2*j - f + 2 for j. -2 Suppose 0 = 3*l + 5*r - 64, -7*r + 2*r = -5*l + 80. Let s be (1/3)/(2/l). Suppose -t - 6 = -3*n, s*n + n = -t + 8. Solve t = -5*h - 11 + 1 for h. -2 Suppose -5*v - 3 = -6*v. Suppose v*m = y - 1, 4*m = -m - 4*y + 4. Solve 2*l = -m*l - 2 for l. -1 Let o = -1063 + 1092. Solve 10*p + 19*p = -o for p. -1 Let d(h) = -h**3 - 4*h**2 + 6*h + 7. Let x = 97 - 102. Let b be d(x). Solve -4*a - 10 = b for a. -3 Suppose 3*h = -29*h + 640. Solve -h + 19 = -d for d. 1 Let w = 1 - -2. Suppose -5 = w*v - 4*v. Suppose -8 = b - v*b. Solve -b*o = 6 - 2 for o. -2 Let h be 2/8 + (-30)/(-8). Let u = 6 - h. Let t be 1 + (2 - 1) - -2. Solve t*b - u*b = 2 for b. 1 Let r(m) = 2*m + 62. Let n be r(-15). Suppose 5*x = -3*x + n. Solve -4 + 16 = x*f for f. 3 Let m = 112 + -107. Solve 0 = -m*j - 10 - 10 for j. -4 Let l be (-3 - -3)*2/4. Suppose t + 0*t = l. Solve t = 3*a + 6 for a. -2 Let i(t) = -17*t - 13. Let o(j) = -50*j - 39. Let l(g) = 17*i(g) - 6*o(g). Let s be l(-1). Solve -4 = -0*k - s*k for k. 2 Suppose 0 = -2*q + 2 + 8. Let a = 17 + -7. Let b = -1085 + 1090. Solve -b*z - q = a for z. -3 Let d be 0/((-10)/40*8). Solve -u + 21 - 23 = d for u. -2 Suppose 5*d = 4*d + 23. Let j = d - 18. Solve t - 8 = j*t for t. -2 Let q be (-126)/9 - 2/1. Let z = -12 - q. Suppose 2*s + 2*s = z*v - 8, 5*s - v = 6. Solve 5*l + 15 = s*l for l. -5 Let a = -91 + -6. Let f = a - -97. Solve 6*q - q = f for q. 0 Let t = -379 - -463. Solve -o = -t + 89 for o. -5 Let u(o) = -2*o + 2. Let x be u(1). Suppose x = -10*w + 7*w + 78. Let a = 26 - w. Solve a = -0*y - 3*y + 9 for y. 3 Let s = 1 - -14. Suppose -2*y = s - 51. Suppose -2*p = -p - y. Solve 3 - p = 3*f for f. -5 Let h(n) = n**3 + 11*n**2 - 10*n + 2. Let k be 1278/(-108) - (-2)/(-12). Let f be h(k). Let w = 37 + f. Solve 3*r + w = -0*r for r. -5 Suppose w - 3*t - 13 = 0, -9*t + 4*t - 23 = -3*w. Solve -24 = -5*n + w for n. 5 Let g be 188/47 - (-3)/((-3)/2). Let c be (-8 + 7)*1*-5. Solve c*l = g*l - 9 for l. -3 Suppose -2*h + 3*b + 3 + 2 = 0, -2*b - 6 = -2*h. Suppose 5*s + 11 - 1 = 5*n, h*s = 5*n - 11. Solve -n = 3*t - 0 for t. -1 Let k = 11 + -13. Let r be k + (-1 - (-8)/1). Suppose -2*i - 2*d - 3*d = 16, r*d = -4*i - 12. Solve 0 = -o - 0*o - i for o. -2 Let t(p) = 5*p - 1. Suppose -v - 6 = -21. Suppose -3*j + 0*j = -3*z + v, -7 = z + 2*j. Let i be t(z). Solve 0 = 2*w + i + 2 for w. -3 Suppose -740 + 138 = -7*x. Suppose -67 = -p - 3*l, -2*p + l - 124 = -4*p. Let h = x - p. Solve -7*d = -2*d - h for d. 5 Let f = 281 + -274. Solve -f*a = -14*a - 28 for a. -4 Let w = 41 - 63. Let q = 23 + w. Suppose t + i = q, 3*i + 2 = -t + i. Solve t + 0 = -f for f. -4 Let i be 2 - (3 + -6) - 3/1. Suppose -i*r + 31 - 23 = 0. Solve r*v - 15 = v for v. 5 Let j be ((-34)/(-4))/(40/80) - 6. Solve j*x = 6*x + 25 for x. 5 Suppose -15 + 5 = -2*p. Solve 0 = -p*t - 0*t for t. 0 Let o(h) = h + 10. Let w be o(-8). Suppose -t + 3 = -w. Suppose -3*m + 13 = -2*m - l, -t*l - 17 = -2*m. Solve 4*k = m + 4 for k. 5 Suppose 5*g = 7 + 8, -4*g + 2 = -5*q. Suppose c - 4 = 0, q*h + 4*c = -2*h + 40. Solve 0 = -k + 1 - h for k. -5 Let k(z) = 7*z + 101. Let c be k(-12). Solve v = 12 - c for v. -5 Suppose 2*o + 5*i - 224 = -2*o, 4*i - 112 = -2*o. Suppose -o*r = -62*r + 48. Solve -f - r = -3*f for f. 4 Let o(b) be the first derivative of b**4/4 - b**3 + 4*b + 25. Let t be o(2). Solve t*x = 4*x - 16 for x. 4 Let o(g) = 4*g**3 + 2*g - 2. Let r be o(1). Solve 3*j - r*j -
{ "pile_set_name": "DM Mathematics" }
Calculate prob of sequence ug when two letters picked without replacement from skuusgssskkkksssg. 1/68 Four letters picked without replacement from ffxnll. What is prob of sequence lfxn? 1/90 What is prob of sequence apx when three letters picked without replacement from ppappppxpppppup? 2/455 What is prob of sequence yeyx when four letters picked without replacement from {g: 3, x: 6, y: 1, k: 2, e: 1}? 0 Calculate prob of sequence fr when two letters picked without replacement from rrrrrfrrrrf. 9/55 What is prob of sequence avvv when four letters picked without replacement from {v: 4, k: 4, i: 4, c: 5, f: 1, a: 1}? 1/3876 What is prob of sequence ypap when four letters picked without replacement from {s: 2, c: 1, y: 2, p: 2, a: 11, l: 1}? 11/23256 Two letters picked without replacement from {o: 4, b: 1, k: 8}. What is prob of sequence ok? 8/39 What is prob of sequence dkpd when four letters picked without replacement from jjdpgjkjgjddjjkgpjjj? 1/4845 Calculate prob of sequence hm when two letters picked without replacement from {h: 4, m: 2, y: 7}. 2/39 What is prob of sequence ull when three letters picked without replacement from luullulllllllll? 66/455 What is prob of sequence amg when three letters picked without replacement from {m: 1, a: 1, b: 3, g: 2}? 1/105 What is prob of sequence yxj when three letters picked without replacement from wjxxjxwxxxjhtyxx? 1/140 What is prob of sequence ww when two letters picked without replacement from {v: 1, w: 2}? 1/3 Calculate prob of sequence llg when three letters picked without replacement from rrlglrrlrrrrlg. 1/91 Three letters picked without replacement from {h: 1, w: 1, t: 3, m: 1, z: 7}. What is prob of sequence htw? 1/572 Two letters picked without replacement from qqxqquxxuxxxxq. What is prob of sequence xu? 1/13 Four letters picked without replacement from gtwlalltttggtl. Give prob of sequence aagl. 0 Four letters picked without replacement from aaaaaaaaaa. What is prob of sequence aaaa? 1 Calculate prob of sequence jlhw when four letters picked without replacement from lhhjwhhwhlwjhhhwjllh. 6/1615 Three letters picked without replacement from zrllzlrrzzz. What is prob of sequence zlr? 1/22 Two letters picked without replacement from vvvvvyvvvy. What is prob of sequence yv? 8/45 Calculate prob of sequence xcm when three letters picked without replacement from {m: 1, c: 1, l: 2, h: 1, r: 1, x: 1}. 1/210 Calculate prob of sequence sn when two letters picked without replacement from {e: 1, s: 2, n: 1}. 1/6 Four letters picked without replacement from pppvevppppppppe. What is prob of sequence pvpv? 11/1638 Calculate prob of sequence llkl when four letters picked without replacement from {n: 4, l: 3, k: 8, r: 2}. 1/1190 Calculate prob of sequence bbib when four letters picked without replacement from {i: 12, b: 6}. 1/51 Four letters picked without replacement from oosyypppopyypppmoyd. Give prob of sequence opso. 7/7752 Two letters picked without replacement from {x: 8, d: 5, m: 7}. Give prob of sequence dx. 2/19 Calculate prob of sequence caa when three letters picked without replacement from {a: 12, c: 7}. 154/969 Four letters picked without replacement from kyyya. Give prob of sequence yyyk. 1/20 Three letters picked without replacement from axeruarxrsa. What is prob of sequence aau? 1/165 Four letters picked without replacement from {k: 6, p: 4, o: 3}. What is prob of sequence pkkk? 4/143 Three letters picked without replacement from {p: 2, o: 1}. Give prob of sequence ppo. 1/3 Two letters picked without replacement from nfoxnffoeopnee. Give prob of sequence po. 3/182 Two letters picked without replacement from rxpppbpl. What is prob of sequence rb? 1/56 What is prob of sequence ss when two letters picked without replacement from {s: 6, k: 1, r: 2, x: 3, p: 1}? 5/26 Two letters picked without replacement from llwfigbblib. What is prob of sequence if? 1/55 Calculate prob of sequence hggl when four letters picked without replacement from {h: 2, w: 1, y: 4, g: 1, l: 2}. 0 Four letters picked without replacement from olvovvllilml. What is prob of sequence imvl? 1/792 What is prob of sequence fyy when three letters picked without replacement from {c: 1, b: 3, y: 9, f: 1}? 3/91 Calculate prob of sequence tml when three letters picked without replacement from {o: 3, t: 3, k: 1, l: 1, m: 8, r: 2}. 1/204 Three letters picked without replacement from aaazccc. Give prob of sequence cca. 3/35 Three letters picked without replacement from nbvanzzbvzvbvzqnzznz. Give prob of sequence nab. 1/570 Four letters picked without replacement from {m: 5, r: 3, y: 2, c: 2}. What is prob of sequence rcmm? 1/99 Calculate prob of sequence rz when two letters picked without replacement from {c: 1, p: 2, m: 8, z: 1, x: 3, r: 1}. 1/240 Three letters picked without replacement from {n: 11, t: 9}. What is prob of sequence nnn? 11/76 Calculate prob of sequence ijv when three letters picked without replacement from {j: 7, i: 1, v: 1, y: 3, g: 1}. 7/1716 Two letters picked without replacement from {l: 4, k: 2}. What is prob of sequence kl? 4/15 Three letters picked without replacement from mhjhajap. Give prob of sequence jmj. 1/168 Two letters picked without replacement from pppgpppggpp. Give prob of sequence gg. 3/55 What is prob of sequence qqqq when four letters picked without replacement from ttqtttttqttqtqqt? 1/364 What is prob of sequence yki when three letters picked without replacement from {y: 2, k: 4, i: 1, s: 3}? 1/90 Calculate prob of sequence natl when four letters picked without replacement from hntal. 1/120 What is prob of sequence haa when three letters picked without replacement from {a: 3, h: 1}? 1/4 Calculate prob of sequence nxmh when four letters picked without replacement from {h: 4, m: 2, s: 2, n: 3, x: 2}. 2/715 Four letters picked without replacement from iaaxiaxxaxxxx. Give prob of sequence xxxi. 7/286 Calculate prob of sequence ggkv when four letters picked without replacement from {w: 1, g: 3, k: 5, v: 6}. 1/182 Three letters picked without replacement from gxgxxxggggghgghghhg. What is prob of sequence xxx? 4/969 Two letters picked without replacement from {a: 1, k: 9, m: 1, s: 4, u: 2}. What is prob of sequence kk? 9/34 Two letters picked without replacement from roiqe. Give prob of sequence ei. 1/20 Calculate prob of sequence ka when two letters picked without replacement from {k: 3, g: 1, m: 2, i: 6, a: 4, x: 3}. 2/57 Three letters picked without replacement from {r: 3, w: 8, u: 1, g: 1, s: 4}. What is prob of sequence sgu? 1/1020 Four letters picked without replacement from jcjjcccccyyycyjj. What is prob of sequence cjcy? 1/52 Four letters picked without replacement from {n: 9, p: 3}. Give prob of sequence npnn. 7/55 Calculate prob of sequence ii when two letters picked without replacement from {i: 7, o: 4}. 21/55 Calculate prob of sequence vv when two letters picked without replacement from {v: 2, m: 4}. 1/15 Calculate prob of sequence wppw when four letters picked without replacement from fwawaaawapwgwwgwawpk. 14/14535 Two letters picked without replacement from {t: 6, a: 11, l: 2}. Give prob of sequence lt. 2/57 Calculate prob of sequence rph when three letters picked without replacement from {h: 2, c: 1, r: 1, p: 4, o: 2}. 1/90 Calculate prob of sequence vuj when three letters picked without replacement from {v: 1, j: 2, m: 4, h: 7, k: 1, u: 4}. 4/2907 Three letters picked without replacement from aabaabbabaaaaaab. What is prob of sequence bba? 11/168 What is prob of sequence nan when three letters picked without replacement from {n: 4, e: 8, l: 2, a: 3, h: 1, j: 2}? 1/190 Calculate prob of sequence vvss when four letters picked without replacement from {s: 13, v: 3, f: 1}. 39/2380 What is prob of sequence zf when two letters picked without replacement from {f: 2, n: 1, d: 1, c: 1, b: 1, z: 1}? 1/21 Three letters picked without replacement from {f: 6, g: 4}. Give prob of sequence ffg. 1/6 Two letters picked without replacement from ettwtttee. Give prob of sequence ew. 1/24 Two letters picked without replacement from csooososcssscoooo. Give prob of sequence os. 3/17 Calculate prob of sequence gb when two letters picked without replacement from gsggubhbubuubgx. 8/105 What is prob of seque
{ "pile_set_name": "DM Mathematics" }
? True Is 294 a multiple of 49? True Is 40 a factor of 6600? True Is 21 a factor of 126? True Is 110 a factor of 1355? False Does 11 divide 7985? False Is 4 a factor of 2321? False Does 8 divide 2048? True Does 259 divide 70280? False Does 15 divide 2895? True Is 42358 a multiple of 234? False Does 96 divide 115? False Is 10520 a multiple of 7? False Is 9 a factor of 6408? True Is 144 a multiple of 45? False Does 20 divide 4160? True Is 218 a multiple of 4? False Is 4 a factor of 16? True Is 26 a factor of 103? False Does 86 divide 111542? True Does 43 divide 3870? True Does 15 divide 1172? False Is 8 a factor of 632? True Is 21942 a multiple of 106? True Does 111 divide 15288? False Is 17 a factor of 692? False Is 3779 a multiple of 11? False Is 31 a factor of 389? False Is 23 a factor of 118795? True Is 29 a factor of 551? True Is 37108 a multiple of 72? False Is 31 a factor of 2694? False Is 112 a multiple of 28? True Is 24 a factor of 168? True Does 34 divide 2176? True Does 13 divide 3933? False Is 11988 a multiple of 162? True Is 13 a factor of 3090? False Is 12289 a multiple of 45? False Is 64 a factor of 64? True Is 69550 a multiple of 107? True Does 177 divide 16850? False Is 4 a factor of 26076? True Is 3 a factor of 84? True Is 179 a factor of 35621? True Does 61 divide 427? True Is 18 a factor of 72? True Is 265 a multiple of 43? False Is 2 a factor of 2990? True Does 7 divide 572? False Is 408 a multiple of 21? False Is 809 a multiple of 19? False Is 4 a factor of 153? False Is 5600 a multiple of 11? False Is 10 a factor of 7230? True Does 95 divide 42272? False Is 4875 a multiple of 13? True Does 17 divide 952? True Is 68 a factor of 4257? False Does 9 divide 37755? True Is 11 a factor of 7733? True Is 3066 a multiple of 7? True Does 32 divide 428? False Is 42788 a multiple of 19? True Is 2 a factor of 24? True Is 4810 a multiple of 10? True Is 2602 a multiple of 9? False Is 36 a factor of 1980? True Is 416 a multiple of 32? True Is 104 a factor of 26573? False Is 2168 a multiple of 13? False Is 2 a factor of 82? True Is 2958 a multiple of 102? True Does 128 divide 1024? True Does 16 divide 422? False Is 94 a factor of 1183? False Is 33 a factor of 6375? False Does 71 divide 8176? False Is 6 a factor of 16464? True Is 204 a multiple of 19? False Does 21 divide 7284? False Is 22 a factor of 483? False Does 38 divide 638? False Is 2320 a multiple of 16? True Does 10 divide 505? False Is 21 a factor of 24843? True Is 2108 a multiple of 17? True Does 22 divide 1957? False Does 93 divide 5892? False Does 113 divide 20856? False Is 12106 a multiple of 57? False Is 56871 a multiple of 15? False Is 12880 a multiple of 14? True Is 7 a factor of 228? False Does 61 divide 12749? True Is 704 a multiple of 38? False Is 123 a factor of 34440? True Does 20 divide 7460? True Is 118 a multiple of 18? False Does 43 divide 1221? False Is 16 a factor of 10067? False Is 84 a factor of 11768? False Is 29 a factor of 1095? False Is 3 a factor of 812? False Does 20 divide 12100? True Is 122 a factor of 44738? False Is 76740 a multiple of 158? False Is 3565 a multiple of 23? True Is 33390 a multiple of 7? True Does 10 divide 70? True Is 171 a multiple of 9? True Does 105 divide 606? False Is 1520 a multiple of 16? True Does 15 divide 1000? False Is 10868 a multiple of 44? True Is 1903 a multiple of 9? False Is 695 a multiple of 63? False Does 89 divide 2848? True Is 7 a factor of 571? False Does 12 divide 15096? True Is 320 a multiple of 20? True Is 125 a factor of 26360? False Is 1093 a multiple of 37? False Is 808 a multiple of 10? False Is 39401 a multiple of 31? True Is 37 a factor of 40922? True Does 46 divide 190? False Is 64 a multiple of 2? True Does 11 divide 2068? True Is 1120 a multiple of 6? False Is 11 a factor of 737? True Is 38 a factor of 21888? True Is 13 a factor of 2648? False Does 219 divide 59965? False Does 11 divide 495? True Is 19 a factor of 2185? True Does 125 divide 3000? True Is 2245 a multiple of 12? False Is 16550 a multiple of 191? False Is 199 a factor of 10149? True Is 8516 a multiple of 25? False Does 23 divide 51754? False Does 75 divide 620? False Is 120 a multiple of 15? True Is 336 a factor of 27552? True Does 33 divide 118998? True Is 37 a factor of 333? True Is 955 a multiple of 10? False Does 46 divide 568? False Is 1438 a multiple of 10? False Is 109113 a multiple of 37? True Does 4 divide 133? False Is 433 a multiple of 3? False Is 5 a factor of 840? True Is 1596 a multiple of 42? True Is 121 a factor of 32975? False Is 16 a factor of 967? False Does 118 divide 17936? True Is 111 a multiple of 4? False Is 123 a factor of 1230? True Is 18 a factor of 699? False Is 45450 a multiple of 14? False Does 2 divide 10068? True Is 3217 a multiple of 34? False Is 198 a factor of 30318? False Does 4 divide 337? False Is 7270 a multiple of 5? True Is 10 a factor of 5100? True Is 39 a multiple of 13? True Does 31 divide 651? True Is 14580 a multiple of 45? True Is 1142 a multiple of 10? False Is 6432 a multiple of 76? False Is 14 a factor of 2011? False Is 4092 a multiple of 66? True Is 2 a factor of 107? False Does 29 divide 1020? False Does 80 divide 21520? True Is 34 a factor of 2398? False Is 13 a factor of 46099? False Is 330 a multiple of 22? True Is 34 a factor of 13430? True Is 53 a factor of 29256? True Is 15 a factor of 89108? False Does 34 divide 832? False Is 7 a factor of 8540? True Is 15015 a multiple of 19? False Is 15 a factor of 13320? True Is 684 a multiple of 19? True Does 14 divide 679? False Is 990 a multiple of 3? True Does 8 divide 2163? False Does 167 divide 19870? False Is 648 a multiple of 24? True Is 429 a multiple of 11? True Is 3 a factor of 5316? True Is 55 a factor of 29590? True Does 42 divide 3780? True Does 5 divide 2328? False Does 289 divide 61458? False Is 108 a factor of 6481? False Does 16 divide 3275? False Is 290 a multiple of 23? False Is 7 a factor of 2199? False Is 2870 a multiple of 14? True Is 537 a multiple of 3? True Does 22 divide 969? False Is 1026 a multiple of 10? False Is 7638 a multiple of 134? True Is 16 a factor of 762? False Is 121 a factor of 10406? True Is 27 a factor of 581? False Is 693 a multiple of 9? True Is 7 a factor of 280? True Is 12 a factor of 1151? False Is 67 a factor of 12931? True Is 3814 a multiple of 5? False Does 46 divide 3956? True Is 2 a factor of 199? False Is 1552 a multiple of 63? False Is 13 a factor of 3007? False Does 13 divide 6149? True Is 12 a factor of 6972? True Is 4198 a multiple of 14? False Is 8 a factor of 4300? False Is 34236 a multiple of 108? True Does 2 divide 132? True Does 27 divide 2646? True Is 159 a multiple of 45? False Is 20 a factor of 599? False Is 8 a factor of 1109? False Is 20 a factor of 1555? False Is 33 a factor of 1056? True Is 4 a factor of 288? True Does 24 divide 47328? True Is 170 a factor of 1445? False Is 18144 a multiple of 72? True Is 11 a factor of 185764? False Does 12 divide 16306? False Is 2392 a multiple of 46? True Is 40939 a multiple of 12? False Is 11 a factor of 104? False Does 57 divide 2850? True Is 34505 a multiple of 22? False Does 52 divide 13588? False Does 10 divide 570? True Is 22 a factor of 748? True Does 13 divide 5870? False Does 116 divide 3255? False Is 12 a factor of 867? False Does 80 divide 11760? True Is 10032 a multiple of 152? True Is 17 a factor of 9418? True Does 24 divide 2459? False Is 2729 a multiple of 20? False Does 20 divide 4032? False Is 1366 a multiple of 34? False Is 1017 a multiple of 9? True Is 15336 a multiple of 71? True Is 3431 a multiple of 47? True Does 4 divide 1417? False Is 129869 a multiple of 14? False Is 3991 a multiple of 13? True Is 1029 a multiple of 64? False Does 102 divide 82212? True Does 131 divide 93046? False Is 2 a factor of 450? True Does 5 divide 77? False Is 1517 a multiple of 41? True Is 19452 even? True Is 6053 a multiple of 22? False Does 172 divide 3799? False Is 11844 a multiple of 42? True Is 39364 a multiple of 26? True Is 1181 a multiple of 11? False Does 14 divide 284? False Does 5 divide 584? False Does 11 divide 572? True Is 4212 a multiple of 156? True Does 16 divide 466? False Does 8 divide 195? False Is 14365 a multiple
{ "pile_set_name": "DM Mathematics" }
and (223*o + 2 + 264*o - 314*o)*((0*o**2 - 2*o**2 + 0*o**2)*(-4 + 6 + 0) - 1 - o**2 + 1). -865*o**3 - 10*o**2 Expand (6*u + 0*u**2 - 2*u**2 - 2*u)*(3 - 2 - 4)*(u + 0*u - 3*u). -12*u**3 + 24*u**2 Expand (0*t + 24*t - 8*t)*(t**3 + 3*t**4 - t**3 + (-4*t**2 + 0*t + 0*t)*(-t + t - 2*t**2)). 176*t**5 Expand (-2 + 5 - 1)*((o + 3*o - 2*o)*(7*o + o - 4*o) - 5 + 5*o**2 + 5). 26*o**2 Expand (-1 + 0 - 1)*(-3*a + 4*a + 2*a) + 3*a - 2*a + a + (-3 - 2 + 0)*(-a - a + 3*a). -9*a Expand (-x**2 - 92 + 25 + 27)*(x + 2 - 2). -x**3 - 40*x Expand 5*k - 3*k + k + (1 + 4 - 2)*(4*k - k + 0*k) + 9*k + 8 - 7 + 2. 21*k + 3 Expand (0 - 1 - 1)*(-4*l + l + l) + 4*l + 26*l - 6*l + (-1 - 4 + 4)*(-l + 4*l - 2*l) + 0*l + 3*l - 5*l. 25*l Expand (10636*n**2 - 10636*n**2 + 131*n**3)*(-2 + 2 - 2*n)*(2 - 1 - 2). 262*n**4 Expand (-i + 4*i - i)*(-73 - 461 - 179). -1426*i Expand ((4 - 1 - 4)*(4 - 2*c**4 - 4) + 2*c**4 + 2*c**4 - 5*c**4)*(-28 + 60 + 44). 76*c**4 Expand (2 - 2 - 3)*(0 + 4 + 2)*(-1 + 57*n**2 - 55*n**2 + 2). -36*n**2 - 18 Expand (r + 2 - 2)*(0*r**2 + 5*r**2 + r**2) + 7*r - 5*r**3 + 6*r**3 - r. 7*r**3 + 6*r Expand (3*k - 2*k + 0*k)*(-63*k**2 - 28*k**2 - 172*k**2). -263*k**3 Expand (0 + 0 - 1)*(-4 + 3 + 13)*(-3*c - 4*c + 4*c). 36*c Expand -15*q + 14 - 14 + 3*q - 3*q - q + q + 5*q - q + (1 - q - 1)*(4 + 0 - 2) + 2*q - 3*q - q + 1 - 1 - 2*q. -17*q Expand 2*x**2 - 2*x**5 - 2*x**2 + (-2 - 2*x + 2)*(4*x**3 + 2*x**4 - 4*x**3) + 4*x**5 + 2*x**5 - 5*x**5 - 4*x**2 - 23*x**5 + 3*x**2 + 21*x**5. -7*x**5 - x**2 Expand (-3*c**2 - 2*c**2 + 4*c**2)*(c**2 - 2*c**2 + 2*c**2) + (3926*c**2 + 11*c**3 - 3926*c**2)*(0*c - c + 3*c). 21*c**4 Expand 3*u**2 - 2*u**2 + u**2 + (-u + u + u)*(u - 2*u + 3*u)*(-92 + 9 + 14). -136*u**2 Expand (2 + 0 + 0)*(6 - 6 + 59*x) + (1 + 4 - 3)*(-x + 4*x - 2*x) - x + 3*x + x. 123*x Expand (s - 4 + 4)*(-2*s - 1 + 1) - 85*s**2 - 94*s**2 - 27*s**2 + (0*s - 3*s + 2*s)*(3 - 3 - s). -207*s**2 Expand ((3 + 0 - 2)*(-3*l**2 + 0*l**2 + l**2) - 2*l**2 + l**2 + 2*l**2 + 97*l - 97*l - 11*l**2)*(24*l + 45*l - l). -816*l**3 Expand (-3*f - 3*f - 4*f + (5 + 3 - 3)*(3*f - 2*f + 2*f))*(-3*f + 2*f + 3*f)*(-3*f**3 + 2*f**3 + 0*f**3). -10*f**5 Expand (-1 + 4 - 4)*(1 - 1 + t) - t + 3*t - 3*t - t - 4*t + 3*t + 5*t - 3*t - t - t + 3*t - 3*t + (t - 2*t - 4*t)*(4 - 3 + 1) - 2*t + 2*t - 2*t. -16*t Expand (1 + 1 + 0)*(-2*h**4 + h**4 + 3*h**4)*(-17*h + 102*h - 29*h). 224*h**5 Expand (-1 - 3 + 6)*(0*i**3 + i**3 + 0*i**3) - 6*i**3 + 2*i**3 + 5*i**3 + 5*i**3 - i**3 - 2*i**3 + (-427*i + 797*i - 634*i)*(-2*i**2 - i + i). 533*i**3 Expand (-6*q**3 - 27*q**3 + 30*q**3)*(-3*q + 2*q**2 + 3*q) + 3*q**5 - 4*q**5 - 2*q**5. -9*q**5 Expand -r**5 - r**3 + r**3 + (0*r + 2*r + 0*r)*(1 + 4*r**4 - 1) + (-7*r**3 - 333*r + 333*r)*(0*r**2 - r**2 + 0*r**2). 14*r**5 Expand (2*b - 1 + 1 + b + b + 0*b + (2 - 1 + 1)*(b + 0 + 0) + 3*b - 4*b + 3*b - 3*b + 5*b - 5*b - b - 2*b + 2*b)*(2*b**3 - 10*b**3 + 4*b**3). -16*b**4 Expand 4*k + 2 - k + 0 + 153*k + 733 - 733 + (0 + 3 - 2)*(3*k - k + 0*k). 158*k + 2 Expand (0 - 2*q + 0)*(0 + 4 + 6 + (0 - 6 + 4)*(5 - 2 - 1))*(-5 - 1 + 0). 72*q Expand (2*c**2 - 3*c**2 + 10*c**2)*(31*c - 114*c - 175*c + 54*c). -1836*c**3 Expand (-142 + 11*o + 73 + 70)*(0*o**3 - 3*o**3 + 0*o**3). -33*o**4 - 3*o**3 Expand -q**2 - 3*q**2 + 3*q**2 + (q + q + 0*q)*(3*q + 1 - 1) - 825 + 825 + 43*q**2. 48*q**2 Expand (0 + 2*r**2 + 0)*(0*r**3 + 4*r**3 - 3*r**3)*(4 - 2 + 3) - 8*r**3 + r**5 - 3*r**5 + 4*r**3. 8*r**5 - 4*r**3 Expand (12*y + 28*y - 7*y + 16*y)*(-4*y**3 + 3*y**3 + 3*y**3). 98*y**4 Expand (-31*z - 28*z + z**2 - 2 + 74*z)*(0*z + 3*z - 5*z). -2*z**3 - 30*z**2 + 4*z Expand (-63 - 23 + 938 + 94)*(-5*g + g + 2*g). -1892*g Expand (-l - 12*l - 4*l)*(0 + l + 0) + (-3 - 2*l + 3)*(-3*l - 46*l + 11*l). 59*l**2 Expand (-2*g + 2*g - g)*(-6 + 3 - 5 + (5 + 1 - 3)*(2 - 6 + 2))*(2 - 1 - 3). -28*g Expand -3*m**2 + 4*m**2 + 2*m**2 + (5*m - 2*m - m)*(87*m - 57*m - 77*m). -91*m**2 Expand (-k - k + 5*k)*(0 + 0 + 3)*(9*k + 9*k - 6*k)*(0 + 0 - 2). -216*k**2 Expand (-2*g - g + g)*(-4 + 3 + 2) - 2 + 2 + g - 4*g - 38 - 19 + 24. -5*g - 33 Expand 664*l**5 - 1144*l**5 + 567*l**5 + (-1 + 1 - 3*l**3)*(-l - l**2 + l). 90*l**5 Expand (-z + 0*z - 3*z)*(-2 + 2 - z + (2*z - 2*z + z)*(1 + 2 - 4) - z + 2 - 2). 12*z**2 Expand 10 + 11 - 26 - o + (-5 + 14 + 10)*(0*o + 4*o - 6*o). -39*o - 5 Expand -223*h + 28614 - 28614 + (-h + 4*h - 4*h)*(-3 + 0 + 4) + 0 + 0 + 2*h + 4*h - h - 5*h. -224*h Expand (-3*i**2 + i**3 + 3*i**2)*(3*i - 4*i - 2*i)*(i - 4*i + i). 6*i**5 Expand (4 - 3*u - 4)*(0*u + 0*u + 6*u)*(0 + 0 - 1) - u**2 - u**2 + 5*u**2 + (-2 + 2 - 2*u)*(2*u - u - 3*u). 25*u**2 Expand (-3 + 1 + 1)*(-130*a - 2*a - 22*a). 154*a Expand (2*c**3 + 0*c**3 - 4*c**3)*(2 - 2 - 2)*(6 - 4 + 0)*(-2*c + 0 + 0)*(38*c - 158*c - 26*c). 2336*c**5 Expand (2*d - d + 0*d + 2*d + 3*d - 3*d + 4 - 4 + 2*d + (-4*d + 2*d + d)*(-1 + 1 + 2) + d + 1 - 1 - 2*d + d + 3*d)*(634*d + 35*d + 327*d + 573*d). 9414*d**2 Expand ((4*a - a - 5*a)*(0 - 2 + 5) + 3 - 3 + a)*(-11*a + 118 - 118). 55*a**2 Expand (-2*i**3 + 2 - 2)*(-2*i + 0*i + 3*i + (3*i - 4*i + 3*i)*(0 - 6 - 1)). 26*i**4 Expand (-148 + 461 + 43 + 311)*(0*u**2 - 6*u**2 + 4*u**2 - 1). -1334*u**2 - 667 Expand (-8 - 4 + 16 + 7*m)*(-267*m + 267*m - 13*m**2). -91*m**3 - 52*m**2 Expand (0*y - 3*y + 8*y)*(-12*y**4 - y**2 + y**2) + (-y + y - y)*(3*y**4 + 0*y**4 - 5*y**4). -58*y**5 Expand ((3 - 1 - 3)*(5 + 0 - 1) - 9 + 3 - 4)*(2 - 2 - 2*v)*(-2*v**3 + 4*v**3 - 3*v**3). -28*v**4 Expand (8 + 2*d + 6 - 17)*(0*d**2 - d**2 - d**2)*(2 - 2 + 2)*(-d**2 + d**2 - d**2). 8*d**5 - 12*d**4 Expand (4*z - z - z)*(667 - 1356*z + 680 - 1347). -2712*z**2 Expand (-1 - 3 + 3)*(17*f - 15 + 15) - f + 0 + 0. -18*f Expand (28*x - 55*x - 56*x)*(4 - 4 - 1)*(-x**4 - 76 + 72 + 2*x**4) - x**3 + x**5 + x**3. 84*x**5 - 332*x Expand (-24 + 81 + 37)*(-5*n**2 + 3*n**2 + 3*n**2) + n**2 + n**2 - n**2 + (n - n + 2*n)*(4*n - 2*n - 3*n) - 4*n**2 + 3*n**2 - n**2 + 5 - 5 - 2*n**2. 89*n**2 Expand (w**2 - 2*w**3 - w**2)*(1 - 3 + 4)*(-51*w**2 + 1343*w - 1343*w). 204*w**5 Expand (0*x + 0*x + x)*(-15*x - 19*x - 9*x)*(3 - 2 - 2). 43*x**2 Expand (5 + 21 + 2)*(-8*d + 4*d + 5*d)*(-3 + 3 + d). 28*d**2 Expand (3 - 4 - 9)*(25*k + 736 - 736). -250*k Expand -3*l**5 + 3*l**5 + l**5 + l**4 - l**4 - l**5 + (l**2 + l**2 + 0*l**2)*(2*l**2 - 2*l**2 + l**3) + 16*l**5 - 28 + 8 + 14. 18*l**5 - 6 Expand (3 + 0 + 4)*((-3*s**3 - s**2 + s**2)*(0*s**2 + 4*s**2 - 3*s**2) - 5*s + 5*s - 2*s**5). -35*s**5 Expand (u**4 + 13*u**2 - 13*u**2)*(2*u - u + u) + 7*u**2 - 4*u**2 - 82*u**5 + 87*u**5. 7*u**5 + 3*u**2 Expand (-11*u**2 + 2*u**3 + 10*u**2 + 2*u**2)*(13*u - 17*u**2 - 13*u). -34*u**5 - 17*u**4 Expand (3 - 6 - 1)*(4*v - v - 5*v) + 7 - 7 - 3*v + (-1 + 0 - 4)*(-4*v + 3*v + 4*v). -10*v Expand 2 + 6*l**2 + 7*l**2 - 2*l**2 + 3*l**2 + 2 - 2 + (2 - 4 + 1)*(-1 + 1 - l**2). 15*l**2 + 2 Expand (0 - 1 - 4)*(-8 - 3 - 3)*(2*z - 3*z + 0*z). -70*z Expand (4 + s**2 - 4)*(-3*s + 3*s - 2*s) - 87*s**3 - 104*s**3 + 167*s**3 + (3*s**3 + 0*s**3 - 5*s**3)*(2 - 1 + 1). -30*s**3 Expand 11*f**4 + 8*f**4 - 13*f**4 + (3 + 0 - 1)*(-17*f**4 + 13*f**4 + 24*f**4). 46*f**4 Expand 0*w**4 - 2*w**4 + 0*w**4 + ((-3 + 0 + 5)*(2 - 9 + 43) + 0 - 4 - 6)*(w**4 + 3*w**4 - 3*w**4). 60*w**4 Expand (-1 + 2*v**3 + 1)*(-2 + v + 2) - 3*v**4 - 6*v**4 + 3*v**4 - 2*v**4 + 8*v**4 + 0*v**4 + (2*v**2 + 3*v**2 - 3*v**2)*(3*v**2 - v**2 + v**2). 8*v**4 Expand ((8 + 0 + 0)*(3 + 2 + 2) - 4 + 3 - 1)*(2*a**2 - 2*a**2 - a**2). -54*a**2 Expand (-788*k**3 + 1052*k**3 - 612*k**3)*(-k**2 + 0*k**2 + 3*k**2). -696*k**5 Expand (-3*c**4 - 2*c + 2*c)*(2*c - 1 + 1) + (-12 - 5 + 1)*(2*c**2 - 5*c**5 - 2*c**2) - 2*c**5 - 2*c**5 + 5*c**5. 75*c**5 Expand (-u + 0*u + 0*u)*(-4*u + 2*u - u)*(-10 + 75 + 15)*(-2*u + 0*u + 3*u). 240*u**3 Expand (-3*j**2 - 4*j + 4*j)*((3*j - 4*j + 2*j)*(-1 - 1 + 0) + (3 + 0 - 9)*(-94 + 0*j + 80 + 2*j)). 42*j**3 - 252*j**2 Expand -j**4 + 0*j**3 + 0*j**3 + (4*j**2 - 2*j**2 - j**2)*(2 - 2 - j**2) + (-8*j**2 - 3*j**2 - 23*j**2)*(j**2 - j + j). -36*j**4 Expand (208 - 208 + 13*h)*(2 + h - 2)*(2 - 3 + 2) + h**2 - h**2 + h**2. 14*h**2 Expand 2*i**2 - 4*i**2 - 2*i**2 - 2*i**2 + i**2 + 2*i**2 + 3*i - i**2 - 3*i + (0*i + i + i)*(-2*i + 2 - 2) + (2 - 2 + i)*(-28*i - 7753 + 7753). -36*i**2 Expand (-4 + 0 - 6)*(y - 2*y + 5*y). -40*y Expand (-13*d + 6*d + 16*d)*(-6 + 4 + 4)*(2
{ "pile_set_name": "DM Mathematics" }
eplacement from {k: 5, b: 3}? 3/28 Calculate prob of sequence em when two letters picked without replacement from omtxodommmmme. 1/26 Two letters picked without replacement from {m: 1, b: 1, v: 1, o: 1, w: 1}. Give prob of sequence vw. 1/20 Two letters picked without replacement from {u: 7, l: 7, e: 2, p: 1}. What is prob of sequence lp? 7/272 What is prob of sequence hkk when three letters picked without replacement from {d: 4, h: 8, k: 5}? 2/51 What is prob of sequence cb when two letters picked without replacement from ccbcccccbcccbc? 33/182 Calculate prob of sequence ypy when three letters picked without replacement from yppybypyyypyy. 56/429 Calculate prob of sequence vee when three letters picked without replacement from {e: 2, w: 2, v: 3, z: 6}. 1/286 Calculate prob of sequence jjzz when four letters picked without replacement from {z: 2, j: 11}. 1/78 Two letters picked without replacement from {y: 1, i: 1, q: 4, h: 1, c: 2}. Give prob of sequence qy. 1/18 What is prob of sequence ys when two letters picked without replacement from {q: 3, s: 6, k: 5, j: 5, y: 1}? 3/190 What is prob of sequence ccc when three letters picked without replacement from ccccccccc? 1 Two letters picked without replacement from phhhhhpipspzpzpupssp. Give prob of sequence ps. 6/95 What is prob of sequence em when two letters picked without replacement from epjbm? 1/20 What is prob of sequence hkwh when four letters picked without replacement from {o: 1, w: 1, c: 2, k: 1, h: 4}? 1/252 Calculate prob of sequence ctuu when four letters picked without replacement from uccctuatcctuuuc. 1/91 Four letters picked without replacement from eeaxeexeaaxee. What is prob of sequence eexa? 63/2860 Two letters picked without replacement from {z: 1, a: 2, d: 7}. Give prob of sequence dd. 7/15 What is prob of sequence ki when two letters picked without replacement from {h: 3, c: 1, p: 2, r: 4, k: 2, i: 2}? 2/91 Three letters picked without replacement from sssssss. What is prob of sequence sss? 1 Two letters picked without replacement from mmlmmmmmmmmmmlml. Give prob of sequence ml. 13/80 Calculate prob of sequence mspv when four letters picked without replacement from {m: 5, v: 1, p: 4, s: 3}. 1/286 Calculate prob of sequence nn when two letters picked without replacement from nnnnnn. 1 Three letters picked without replacement from gvgvrgrdgggggg. What is prob of sequence grd? 3/364 What is prob of sequence vzsl when four letters picked without replacement from {s: 1, v: 9, o: 3, l: 2, z: 3}? 1/1360 What is prob of sequence ii when two letters picked without replacement from {i: 5, r: 7}? 5/33 Two letters picked without replacement from {u: 4, b: 4, j: 1, z: 1, r: 6}. What is prob of sequence br? 1/10 Four letters picked without replacement from {b: 2, m: 6, l: 10}. What is prob of sequence llml? 1/17 Three letters picked without replacement from {f: 3, e: 6, o: 4, z: 1}. Give prob of sequence eof. 3/91 What is prob of sequence kx when two letters picked without replacement from {k: 1, m: 3, j: 2, a: 3, g: 2, x: 1}? 1/132 Four letters picked without replacement from giiiygixx. What is prob of sequence ixyx? 1/378 Two letters picked without replacement from quuqoquqquuqqouqq. Give prob of sequence oo. 1/136 Two letters picked without replacement from bmbbp. Give prob of sequence mb. 3/20 Calculate prob of sequence is when two letters picked without replacement from klsisvk. 1/21 Two letters picked without replacement from {d: 2, e: 2}. Give prob of sequence ed. 1/3 What is prob of sequence vv when two letters picked without replacement from {e: 1, v: 3}? 1/2 Calculate prob of sequence vrre when four letters picked without replacement from reerrvvrereeeeeer. 9/952 Three letters picked without replacement from {i: 4, v: 5, y: 1, w: 2, s: 2}. Give prob of sequence vii. 5/182 What is prob of sequence sl when two letters picked without replacement from dsmjl? 1/20 What is prob of sequence kr when two letters picked without replacement from {r: 1, k: 3}? 1/4 Four letters picked without replacement from {t: 1, i: 8, v: 11}. Give prob of sequence tivi. 77/14535 Two letters picked without replacement from fululi. Give prob of sequence ul. 2/15 What is prob of sequence qyy when three letters picked without replacement from qqqyy? 1/10 Three letters picked without replacement from ppppppbpbpp. Give prob of sequence bpb. 1/55 Four letters picked without replacement from wytayyyyaawyyaalaawm. What is prob of sequence myaw? 49/38760 Three letters picked without replacement from {i: 1, f: 2, g: 1, d: 3}. Give prob of sequence idf. 1/35 Three letters picked without replacement from {x: 2, i: 4, o: 4}. Give prob of sequence ixo. 2/45 What is prob of sequence ogh when three letters picked without replacement from {r: 3, h: 2, o: 5, g: 2}? 1/66 Two letters picked without replacement from atyyyatattttytyyaaty. What is prob of sequence at? 2/19 Three letters picked without replacement from kfmfkffiib. What is prob of sequence fbm? 1/180 Calculate prob of sequence ssyq when four letters picked without replacement from zszsnqyy. 1/420 What is prob of sequence vrrv when four letters picked without replacement from {r: 11, v: 3}? 5/182 What is prob of sequence cv when two letters picked without replacement from {m: 1, c: 1, v: 1, k: 1, y: 1, t: 2}? 1/42 What is prob of sequence hh when two letters picked without replacement from {h: 7}? 1 What is prob of sequence aaaa when four letters picked without replacement from {a: 9}? 1 What is prob of sequence pttt when four letters picked without replacement from ttpppppppt? 1/120 Two letters picked without replacement from {m: 5, j: 14}. Give prob of sequence mm. 10/171 Four letters picked without replacement from sspsppsepjesseps. Give prob of sequence jjpp. 0 What is prob of sequence vjn when three letters picked without replacement from vnnvnvjgqhqnqnjqvjj? 40/2907 Three letters picked without replacement from {u: 1, v: 6, i: 3, x: 2, h: 3}. What is prob of sequence xuv? 2/455 Two letters picked without replacement from {a: 11, j: 1, d: 1, p: 6, o: 1}. What is prob of sequence po? 3/190 Two letters picked without replacement from {v: 1, e: 11}. Give prob of sequence ev. 1/12 Two letters picked without replacement from {y: 5, e: 4, b: 4, g: 6}. Give prob of sequence by. 10/171 Two letters picked without replacement from {n: 4, k: 1, h: 2}. What is prob of sequence kn? 2/21 What is prob of sequence ndn when three letters picked without replacement from {n: 3, p: 1, d: 4}? 1/14 Two letters picked without replacement from ifkkkvkvykiki. What is prob of sequence fv? 1/78 Calculate prob of sequence vu when two letters picked without replacement from aabuaabquvqbboaoaoo. 1/171 What is prob of sequence yy when two letters picked without replacement from {f: 1, t: 1, b: 2, l: 1, j: 1, y: 2}? 1/28 Three letters picked without replacement from {g: 4, r: 3, z: 6}. What is prob of sequence rzz? 15/286 Three letters picked without replacement from rrrppoooorprorroorr. What is prob of sequence opp? 7/969 What is prob of sequence xhsx when four letters picked without replacement from shvvsvxvhshhvxs? 4/4095 Calculate prob of sequence aaff when four letters picked without replacement from {f: 12, a: 6}. 11/204 Four letters picked without replacement from {f: 5}. What is prob of sequence ffff? 1 Two letters picked without replacement from {o: 3, g: 1, n: 10, i: 1, q: 4}. What is prob of sequence ig? 1/342 Two letters picked without replacement from vyvpyppp. What is prob of sequence yp? 1/7 What is prob of sequence kvqw when four letters picked without replacement from kkqqkqqwkvqkqqqk? 1/910 Three letters picked without replacement from qqmqquqqquqqqumqrfr. Give prob of sequence uuf. 1/969 Three letters picked without replacement from fkdrfdrddfrfrkf. What is prob of sequence kfr? 4/273 Four letters picked without replacement from scodxdnxxoonsd. Give prob of sequence cssx. 1/4004 What is prob of sequence cdd when three letters picked without replacement from ddddddcdc? 1/6 What is prob of sequence yya when three letters picked without replacement from yptuyysuytsata? 1/91 What is prob of sequence pm when two letters picked without replacement from mqgpqppgp? 1/18 Two l
{ "pile_set_name": "DM Mathematics" }
(0 - (-6 - -4)). Let k(a) = 5*a**3 - 7*a**2 + 7*a - 7. Let l(w) = -4*w**3 + 6*w**2 - 6*w + 6. Give s*l(g) - 6*k(g). -2*g**3 Let q(w) = -9*w + 9. Let s(h) = 8*h - 8. Give -2*q(v) - 3*s(v). -6*v + 6 Let j(s) = -17*s. Let g(w) = -w. What is 6*g(o) - j(o)? 11*o Let f(u) = u**3 + 5*u**2 - 6. Let s(c) = -2*c**3 - 8*c**2 + 9. Let w(i) = -8*f(i) - 5*s(i). Let v(a) = 7*a**3 + 11. Determine -6*v(y) + 22*w(y). 2*y**3 Let u(y) = -16*y**2 - 7*y - 6. Let k(z) = -15*z**2 - 6*z - 5. Calculate 5*k(a) - 4*u(a). -11*a**2 - 2*a - 1 Let k(m) = 0 + m**2 - m - m**3 - 2*m**2 - 2. Let u be k(0). Let g(w) = -10*w**2 - 5*w - 10. Let f(s) = 3 + 0*s - 5 - 2*s**2 - s. Give u*g(z) + 11*f(z). -2*z**2 - z - 2 Let l(y) = -2. Let a(z) = 2*z**2 - 12*z + 8. Let x be a(5). Let i be 2/2 + (-5 - 1). Let r(q) = q + 5. What is i*l(g) + x*r(g)? -2*g Let f(x) = 19*x**2 - 2*x + 1. Let w(o) = -o**3 - 77*o**2 + 9*o - 4. Give -9*f(n) - 2*w(n). 2*n**3 - 17*n**2 - 1 Let c(s) be the first derivative of s**7/840 + 5*s**4/24 + 7*s**3/3 - 4. Let r(k) be the third derivative of c(k). Let y(v) = v**3 + 6. Give -3*r(q) + 2*y(q). -q**3 - 3 Let z = -4 - -12. Suppose -4*v + b = z, 0*v = 3*v - 3*b - 3. Let f(y) = 2*y**3 - 4*y**2 + 3*y - 3. Let u(p) = 3*p**3 - 7*p**2 + 5*p - 5. Give v*u(h) + 5*f(h). h**3 + h**2 Let n(o) = o**3 - 2*o - 2. Let r(z) = z**3. Give -n(m) + 4*r(m). 3*m**3 + 2*m + 2 Let r(a) = 4*a + 1. Let v(z) = z. Determine -2*r(s) + 4*v(s). -4*s - 2 Let y(u) = 5*u - 1. Let x(a) = 5*a. Let c(b) = -b. Let r(j) = -6*c(j) - x(j). Calculate 9*r(g) - 2*y(g). -g + 2 Let x(n) = n**2. Let k(s) = 3*s**2 - 4. Let v(o) = -k(o) + 2*x(o). Let u(m) be the second derivative of 3*m**2/2 + 3*m. Give -4*u(w) + 3*v(w). -3*w**2 Let r(m) = -2*m**3 + 6*m**2 - 2*m + 4. Suppose -5*n = 3*o + 12, -2*o + 8 = 3*o - n. Let v(w) = -w**3 + w**2 - w + 1. Calculate o*r(a) - 4*v(a). 2*a**3 + 2*a**2 + 2*a Let g = -9 - -17. Let u(a) = g*a - a**3 + 0*a**2 + 3 - 2*a**2 - 9*a. Let t(x) = -x**2 + 1. What is -3*t(n) + u(n)? -n**3 + n**2 - n Let t(a) = -a - 6. Let i be t(0). Let f(p) = p - 6. Let l(j) = j - 5. Determine i*l(r) + 5*f(r). -r Suppose -2*u + 0*u - 6 = 0. Let y(q) = 4*q - 3. Let n(b) = 13*b - 7. Let v(c) = c. Let t(x) = n(x) - 4*v(x). What is u*t(w) + 7*y(w)? w Let c(f) = 1. Let i(b) = -b**2 + 2*b - 3. Let m be (-29)/7*-1 - 1/7. What is m*c(u) + i(u)? -u**2 + 2*u + 1 Let q(n) = -5*n - 8. Let i(g) = 22 + 0*g - 27 - 3*g. Calculate 8*i(l) - 5*q(l). l Let g(x) = 4*x + 1. Suppose 0 + 16 = 4*p. Let t(u) = u - 1. Suppose 10 = 5*k - 0. Let r(n) = -2*n + 4. Let f(c) = k*r(c) + 7*t(c). Calculate p*g(v) - 6*f(v). -2*v - 2 Let p(i) = -3*i**3 - 3*i**2 - 5*i + 4. Let k(b) = 3*b**3 + 4*b**2 + 6*b - 4. Calculate -5*k(a) - 6*p(a). 3*a**3 - 2*a**2 - 4 Let t(x) = -8*x**2 - 3*x + 3. Let z(k) = 16*k**2 + 5*k - 5. Calculate 7*t(q) + 4*z(q). 8*q**2 - q + 1 Let j(s) = -111*s**2 - 15*s - 15. Let m(y) = 28*y**2 + 4*y + 4. Determine -4*j(z) - 15*m(z). 24*z**2 Let k(v) = 15*v**3 - 5*v**2 - 9*v + 5. Let i(n) = 8*n**3 - 5*n - 113*n**2 - 111*n**2 + 221*n**2 + 3. Calculate -5*i(q) + 3*k(q). 5*q**3 - 2*q Let n(k) be the second derivative of -k**3/6 + 2*k. Suppose -3*c = -4*f, 6 = -5*c + 26. Let s(m) = m**2 + 5*m + 2. What is f*n(o) + s(o)? o**2 + 2*o + 2 Suppose -3*x = 4 - 1. Let c be (-3)/(-3)*x*11. Let v(h) = -2*h**3 + 5. Let k(l) = 5*l**3 - 14. What is c*v(d) - 4*k(d)? 2*d**3 + 1 Let j(t) = t + 1. Let u(h) = -h - 1. Give -3*j(x) - 6*u(x). 3*x + 3 Let h(k) = 6*k**2 - 5*k. Let u(x) = -5*x**2 + 4*x. Give -4*h(t) - 5*u(t). t**2 Let b(m) = -6*m. Let q(h) be the first derivative of 7*h**2/2 + 12. What is 4*b(s) + 3*q(s)? -3*s Let f(c) = -c - 7. Suppose -18 = 7*m - 4. Let o(q) = -2. Calculate m*f(b) + 7*o(b). 2*b Let v(p) = 3*p**2 + p + 1. Let c(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 - 14*a. Determine -c(t) + v(t). 2*t**2 + 2 Let c(w) = -w**3 - 7*w**2 + 2*w + 4. Suppose -2*n = -7 + 3. Let a(z) = -z + 7*z + 0*z + 3 - 3*z**3 - 20*z**n + 8. What is 4*a(s) - 11*c(s)? -s**3 - 3*s**2 + 2*s Let c(n) = -n**2 - n + 1. Let z = 19 + -23. Let h(y) = -5*y**2 - 5*y + 3. Let j = -3 + 4. Give j*h(p) + z*c(p). -p**2 - p - 1 Let i(r) = -3*r**2 - 5*r + 5. Let c(m) = -16*m**2 - 28*m + 28. Determine -5*c(n) + 28*i(n). -4*n**2 Let r(u) be the second derivative of -3/2*u**2 - 1/3*u**3 - 6*u + 0*u**4 + 1/10*u**5 + 0. Let h(k) = -k**3 + 2*k + 2. What is 3*h(z) + 2*r(z)? z**3 + 2*z Suppose 0*t + 7 = -t. Let n be 5/7 + (-2)/t. Let i(z) = -z**3 + 1. Let x(l) = l + l**3 - 2*l**3 - 1 - l. What is n*i(g) + x(g)? -2*g**3 Let n be (-3 + (3 - -1))/(-1). Let u(f) = f**3 + 5*f**2 + 5*f. Let v(j) = j**2 + j. What is n*u(i) + 5*v(i)? -i**3 Let d = 4 + -2. Suppose -8 = 2*f + d*v, 2 = 5*f + 2*v + 28. Let n(x) = 0 + 6*x + 3 + 2*x + 4. Let a(k) = -k - 1. Give f*a(o) - n(o). -2*o - 1 Let v(h) = h**2 - h. Suppose -2*z = -2*f - 12, 0 = z - 2*z + 5. Let y(w) = w. Let s(n) = 3*n**2 - 5*n. Let t(c) = s(c) + y(c). Determine f*t(j) + 2*v(j). -j**2 + 2*j Let t(l) = 3*l**2 - 6*l + 3. Let i(j) = 4*j**2 - 7*j + 3. Let q(f) = -2*i(f) + 3*t(f). Let v(s) = s**2 - 3*s + 2. Calculate 4*q(d) - 5*v(d). -d**2 - d + 2 Let b(c) = c + 31. Let u be b(-28). Let g(o) = -6*o + 4. Let s(i) = -23*i + 17. Let r(p) = -8*p + 6. Let w(q) = 8*r(q) - 3*s(q). Determine u*g(x) + 4*w(x). 2*x Let z(x) = 4*x - 5. Let v(w) = -w. Let a(l) = 4*l - 8*l - 2 + 2*l. Let u(n) = a(n) - 4*v(n). Calculate -5*u(i) + 2*z(i). -2*i Let n(r) = -6*r**2 - 43*r - 7. Let c(w) = w**2 + 1. What is 14*c(y) + 2*n(y)? 2*y**2 - 86*y Let p(q) = -2*q**2 - 4*q + 5. Let s(h) = -3*h**2 - 5*h + 6. Suppose 4*d + 5 = -3*z, -2*d + 0 = 5*z - 1. Suppose -m - 4 = -z. Calculate m*s(l) + 4*p(l). l**2 - l + 2 Let x(z) = -5*z - 6 + 10*z**3 + 3*z**2 + 3*z**2 + 12 - 2*z**3. Let c(p) = 9*p**3 + 7*p**2 - 6*p + 7. Determine 6*c(d) - 7*x(d). -2*d**3 - d Let b(q) = -q**3 + q**2 - q + 1. Let k(i) = -133*i**3 + 152*i**2 - 152*i + 152. What is -456*b(g) + 3*k(g)? 57*g**3 Let w(t) = 8*t - 9. Let v be 0/(12/3) + -2. Let n(j) = -2*j + 2. Determine v*w(q) - 9*n(q). 2*q Let h(c) = -c**3 - 2. Let z(p) = 5*p**3 + p**2 + 9. Give 9*h(b) + 2*z(b). b**3 + 2*b**2 Let v(n) be the first derivative of -n**3/3 - n - 1. Let r = -9 - -8. Let u(d) = -4*d**2 - 6. Determine r*u(t) + 6*v(t). -2*t**2 Let v(u) = -u**3 + u + 1. Let g be 3/2*-2 + 5. Let b(l) = 3*l**3 - 2*l - 2. Determine g*v(a) + b(a). a**3 Let r(w) = -5*w + 4. Let m(v) = -14*v + 11. Give -3*m(a) + 8*r(a). 2*a - 1 Let u(l) = l**2. Let h(y) = -8*y**2 - 3*y**2 + y**2 + 16*y**2. Calculate -4*h(p) + 21*u(p). -3*p**2 Let i(q) = -4*q - 3. Let s = 19 + -27. Let r(t) = -11*t - 5. Let y(a) = -1. Let x(w) = -r(w) - 3*y(w). Calculate s*i(j) - 3*x(j). -j Let c(w) = -1. Let k(g) = -g + 5. What is -6*c(p) - 2*k(p)? 2*p - 4 Suppose 16 = -c + 8. Let b be c/24 + (-32)/(-6). Let x(j) = -6*j - 5. Let p(g) = -g - 1. Give b*p(m) - x(m). m Let a = 114 - 110. Let c(h) = 26*h**3 - 11*h**2 - 11. Let m(x) = 9*x**3 - 4*x**2 - 4. Determine a*c(s) - 11*m(s). 5*s**3 Let l(t) = t**2 + t. Let c = -14 - -18. Let f(j) = 5*j**2 + 4*j. Calculate c*l(n) - f(n). -n**2 Let p(k) = k + 1. Let z(w) = 7*w + 1. Give 2*p(f) - z(f). -5*f + 1 Let k(u) = -2*u**2 - 5*u. Let s = -23 + 17. Let b(f) = f**2 - 3*f + 5. Let r be b(5). Let d(q) = -q**2 - 2*q. Give r*d(n) + s*k(n). -3*n**2 Let t(g) = 11*g + 9. Let j(z) = -6*z - 5. Give -5*j(h) - 3*t(h). -3*h - 2 Let c be (-108)/120*5/(-3). Let z(x) be the first derivative of -x - c*x**2 + 2. Let f(d) = 16*d + 6. Calculate 2*f(k) + 11*z(k). -k + 1 Let b(p) = p**2 - p - 1. Let k(o) = 8*o**2 - 7*o - 5. Let w be (-2)/((10 + -4)/(-3)). Give w*k(f) - 6*b(f). 2*f**2 - f + 1 Let o(l) = -3*l - 5. Let i(p) = 2*p + 4. Suppose -10*g + 12 = -8*g. Calculate g*i(q) + 5*o(q). -3*q - 1 Let v(l) = l**3 + 2*l**2 - 5*l. Let m(u) = -2*u**3 - 4*u**2 + 9*u. Suppose -5*p + 3*p + 18 = -2*g, 3*p = -g + 11. What is p*v(h) + 3*m(h)? -h**3 - 2*h**2 + 2*h Let s(h) = 2*h**3 + 3*h**2 + 3*h + 3. Let a be (-1)/(-2) + 12/(-8). Let p be a*28*5/(-20). Let o(j) = 5*j**3 + 7*j**2 + 7*j + 7. Determine p*s(t) - 3*o(t). -t**3 Let u(y) = -y + 1. Let m(z) = -2*z - 6 - 3*z + 10*z. Suppose 3*r + 3 + 10 = 2*w, 2*w - 34 = -4*r. Calculate w*u(n) + 2*m(n). -n - 1 Let u(q) = -q + 1. Let v = -338 - -344. Let w(m) = -m. Let h(j) = j**2 - j - 2. Let k(n) = -h(n) + 3*w(n). Calculate v*u
{ "pile_set_name": "DM Mathematics" }
4*j. Solve 0 = b + j - 4 for b. 1 Suppose 0 = -2*k + 3*k - 130. Suppose -3*j + 242 = 2*z, 3*j - 348 + k = 4*z. Suppose -j - 76 = -14*t. Solve 2*r = 1 - t for r. -5 Let y(d) be the first derivative of 2*d**3/3 + 5*d**2/2 + 13*d + 154. Let s be y(-2). Solve 14*b = -s*b + 24*b for b. 0 Let s(m) be the third derivative of m**6/120 + 13*m**5/60 + 7*m**4/24 + 19*m**3/6 - 36*m**2. Let l be s(-13). Let n = l - -74. Solve -x = 1 + n for x. -3 Let d = -50 + 50. Let v be 12/((-12)/6) - -10. Solve -l - 3*l - v = d for l. -1 Let q(t) be the first derivative of t**3/3 + 13*t**2 - 51*t - 55. Let o be q(-28). Solve 17 = 4*u + o for u. 3 Suppose -28*y + 24*y + 84 = -4*n, -4*y + 56 = 3*n. Solve 4*d + 39 = y*d for d. 3 Suppose -85*d + 77*d - 48 = 0. Let a be (8/d)/((-11)/66*2). Solve a*g - 5*g = -4 for g. 4 Let x(t) = -16*t - 125. Let w be x(-8). Suppose -5*s - 4 = -3*m - 7, 0 = -2*s - 3*m - w. Solve -4*f - 8 = -s for f. -2 Let c(z) = -14*z + 185. Suppose -19*r - 48 = -23*r. Let l be c(r). Solve -6 = l*s - 14*s for s. -2 Let s(j) = -3*j + 77. Let z be s(16). Suppose -z = -m - 18*i + 23*i, -i + 275 = 5*m. Solve 36 = 6*y + m for y. -3 Let g be (-5)/45 - 5/(-45) - 9/(-3). Solve 0 = -5*r - 17 - g for r. -4 Let y(b) = 19*b - b**3 - 54*b**2 + 18 + 82*b**2 - 69 - 49*b**2. Let p be y(-22). Let z = p - 15. Solve -2*d + 6 = -z*d for d. 3 Let k(g) = -g**3 - 6*g**2 - 4*g - 5. Let a be k(-5). Let y be 30/9*(-12)/a. Let f(m) = -7*m**2 + 253*m - 31. Let b be f(36). Solve 0 = b*c - y*c for c. 0 Let r = 3279 - 3269. Solve 3*z = r*z for z. 0 Let j(i) = -i**3 + 44*i**2 + 100*i - 228. Let t be j(46). Solve -28*a - t = -0 for a. -5 Let a be (-27)/(-12) + 117/(-52). Solve 25*y - 17*y + 8 = a for y. -1 Let o = -146 - -224. Let w be 456/o + -6 + (-708)/(-39). Solve 5*l + w = -l for l. -3 Let r(g) = 4*g**2 + 6*g - 11. Suppose 77*l + 6 = 80*l. Let a be r(l). Solve 2 = 5*x + a for x. -3 Suppose 15110 - 4722 = 165*d - 2977. Suppose -2*x + n = -152, -5*x + n + 287 = -96. Let r = d - x. Solve -y = r*y for y. 0 Let x(g) = g**3 + 6*g**2 - 5*g + 17. Let d be x(-7). Suppose -203 + 188 = -d*o. Solve 3*k - o = -8 for k. -1 Let n(z) = -z**3 + 38*z**2 - 39*z - 1150. Let h be n(36). Solve -65 = -9*s - h for s. 3 Let l(y) = -y**3 - 10*y**2 + 11*y + 3. Let i(z) = -z**3 - 9*z**2 + 2*z + 7. Let u be i(-9). Let b be l(u). Suppose -3*a = -0*a - b. Solve -a = 2*q + 5 for q. -3 Suppose -14*q + 579 - 537 = 0. Solve -q*w - 338 + 320 = 0 for w. -6 Let w(o) = o**3 + 2*o**2 - 1. Let g be w(-1). Let k(r) = -r**3 - 2*r**2 + r + 1. Let t be k(0). Solve g = 2*z + 3 - t for z. -1 Let q be (1 + -42 + -1)/(-2). Suppose -2*y + q = 5. Let p(o) = -o + 13. Let u be p(y). Solve -3*z + 4*z - u = 0 for z. 5 Suppose 5*g = 2*n + n + 46, -g + 4*n - 1 = 0. Suppose 14*z - 9 = g*z. Suppose f = -f - 2*o + 14, 3*f + z = 3*o. Solve 0 = f*j + 1 + 2 for j. -1 Let g = -3793 + 3799. Solve 2 = 8*q - g for q. 1 Let l(t) = -t**3 + 8*t**2 + 5*t + 15. Let p be l(8). Let a = 58 - p. Suppose -4*u = -1 - a. Solve u = -4*j + 21 for j. 5 Let y(l) = -l**2 + 21*l - 5. Suppose 0 = -6*s + 3*s + 39. Let j be y(s). Let w = j + -97. Solve 3*v = -w*v for v. 0 Let z = -4370 + 4374. Suppose 11 = 4*s + d, 2*s = -3*d + 3 - 0. Solve i = -s + z for i. 1 Let p(j) = 7*j - 69. Let m(h) = -6*h + 71. Let x(c) = 3*m(c) + 4*p(c). Let f be x(7). Solve 0 = 8*r - f*r for r. 0 Let u(k) = 3*k**2 - k - 4. Let w be u(3). Suppose 2*t - 24 = -w. Solve -t*j - 9 = -15 for j. 3 Let b = 62 - 42. Let l = b - 18. Suppose -2*c + 5*o = -21, 4*c + l*o = o + 9. Solve 0*p = c*p + 9 for p. -3 Let z be (1*7)/(1 - 0). Suppose 69 = -60*u + 37*u. Let p be u/((-78)/(-12) + -8). Solve 3*j + p = -z for j. -3 Suppose 85*x = 87*x - 20. Suppose -5*q - x + 26 = -u, 0 = 4*u + 5*q - 36. Solve -9*h + 5*h = u for h. -1 Suppose -22*z + 273 = -35. Suppose 2 = -5*y - 3*r + z, -2*y + r + 7 = 0. Solve -3*d + 3 = -y for d. 2 Let i be (21/2)/((-84)/(-112)). Solve i*l = l for l. 0 Suppose -5*c = 5*b - 3*b - 74, 0 = 2*c - b - 35. Suppose -5*j + c = f, j + j = -3*f - 4. Solve -12 = 7*s - j*s for s. -4 Suppose -20*r - 13446 - 11850 = -156*r. Solve 158 - r = -4*s for s. 7 Let z = -2068 + 2072. Solve -29 = -11*w + z for w. 3 Suppose p = -4*p + 70. Suppose -51*t - p = -53*t. Solve -9 = 4*k + t for k. -4 Let o be ((-110)/88)/(2/8). Let b be (-1 - 0/2)*o. Suppose g + 1 = 0, -5*m + 3*g + 49 = 4*g. Solve m*f = b*f for f. 0 Suppose -5*t + 745 = 630. Solve 37 - 129 = t*h for h. -4 Suppose -3*f + 3*j + 15 = 0, 13 = 4*f - 2*j + 3. Let x be (f + -8)*((-3)/(-4) + -1). Suppose 0 = 2*b - 3*b. Solve b*q = q - x for q. 2 Suppose 5*v = 2*h + 954 + 308, 760 = 3*v - 4*h. Solve 29*d - v = -13*d for d. 6 Let j(a) = 13*a - 38*a - 8 + 24*a + 1. Let d be j(-9). Solve -14 = 4*c + d for c. -4 Suppose 7 - 103 = -16*r. Let p(w) = -2*w**2 + 13*w - 6. Let s be p(r). Let l be 1 - 3*2/6. Solve b + s*b = l for b. 0 Suppose 2*f = 7*f. Let d = 147559 - 147543. Solve f = g - 13 + d for g. -3 Suppose 0 = 2*t - 6. Suppose 3*k - 129 = -5*s, 5*k + 31 = 4*s - 50. Suppose 2*m = -5*w + s, -w + 6*m - 3*m = 2. Solve o + w = -t*o for o. -1 Suppose -119*u - 14 = -121*u, 3*y - 2*u = 1309. Solve -429*l + 108 = -y*l for l. -9 Let q be (189/45 - 4) + 68/10. Let i be (-1 + 1)/(q + -12 + 3). Solve 0 = -i*n + 2*n - 6 for n. 3 Let y = -4066 - -4075. Solve 0 = 29*t - 20*t - y for t. 1 Let d = 117 + -110. Suppose -c = 4*p + 2, 5*c - 3*p + 2*p = 11. Suppose 0 = -c*b - 2*b + 16. Solve -d*l - b = -5*l for l. -2 Let n(f) = -f + 15. Let j be n(-4). Suppose 5*a - 16 = j. Suppose 0 = -3*d - 1 + a. Solve d*v + 2*v = 16 for v. 4 Suppose 4*l = 10*n - 16, 14*n - 11*n + 2*l = 24. Solve -16 = -n*w + 20*w for w. -1 Let p = -7 - 3. Let g be (10863/(-136))/9 + (-2)/16. Let q be g/(-15) - 24/p. Solve 0 = q*k - 12 for k. 4 Let a(g) = -5*g - 25. Let k(c) = 1. Let f(x) = -a(x) - 15*k(x). Let v be f(-3). Let n be v + (120/3)/4. Solve n*p = -0*p - 15 for p. -3 Let c be (334/(-1503))/(1/(-27)). Solve -81 = c*w - 99 for w. 3 Suppose -4*y = -5*q + 26 - 0, 2*y = 12. Solve 0*j = -2*j - q for j. -5 Suppose -1312*g + 1316*g = r + 32, -4*g = r - 32. Solve r = -2*y - 1246 + 1242 for y. -2 Suppose 4*m - 971 = -4*w - 203, 3*w - 568 = -5*m. Solve 0 = -193*x + w*x - 12 for x. 4 Let m(u) = 2397*u - 23919. Let r be m(10). Suppose -f + 40 = -12. Solve r*l = f*l - 4 for l. 4 Let t(h) = 2*h**2 - 124*h - 381. Let u be t(-3). Solve 17 = -4*x + u for x. -2 Suppose -4*i = -5*t + 27, -t - 2*t - 2*i + 25 = 0. Let m be 42/(-8) + (-2)/(-8). Let z = t + m. Solve -z*v = 3*v - 5 for v. 1 Let g(q) = 7*q**3 - 17*q**2 + 15*q + 35. Let z(c) = 3*c**3 - 8*c**2 + 7*c + 17. Let d(r) = -2*g(r) + 5*z(r). Let f be d(3). Solve f = 12*a - 9*a for a. 1 Suppose 4*d = -3*c + 27, -8 = -3*d - 5*c + 15. Suppose 3*v - 5*v = -d. Suppose 2*z - 8 = -4*w, 2*w = -v*w + z + 24. Solve -4 - w = 4*j for j. -2 Suppose 86 + 13 = 5*j - 3*o, 0 = 3*j - 5*o - 69. Let y be (10 + -5)*j/15. Solve -f + y = 5 for f. 1 Let p(c) = 222*c**3 + 7*c**2 - 39*c + 38. Let k be p(2). Solve 0 = -k*x + 1766*x - 4 for x. 2 Let w be (1044/580)/(6/20). Solve w*t - 257 = -233 for t. 4 Let p = -2720 + 2724. Let f(w) = 4*w**2. Let a be f(-1). Solve p*k = 3*k + a for k. 4 Let j = 34 + -32. Let z(m) be the first derivative of -m**4/4 + 3*m**2/2 - 3*m - 6. Let o be z(-3). Solve -j*f - 3*f = o for f. -3 Suppose -550*o - 46*o + 6460 = 2288. Solve 26*b = o*b + 95 for b. 5 Let a = 8 - 2. Let g = -83 - -82. Let v be (-1)/((12/(-16)*g)/(-3)). Solve -2*y - a = v for y. -5 Let k(c) = c**3 - 5*c + 7. Let l be k(2). Solve l*b = -86 + 81 for b. -1 Let g be 3 + 11 + -7 + (6 - 4). Solve -65 + 29 = g*k for k. -4 Let d(b) be the third derivative of -b**5/30 - 4*b**4/3 - 25*b**3/3 - 62*b**2. Let c be d(-14). Solve -20*q + c*q - 14 = 0 for q. -1 Let n be (-10)/60*-273 + (-11)/22. Solve 50*q - n*q - 15 = 0 for q. 3 Suppose 2*u - 5*u = -27. Suppose 50 = z + u*z. Suppose -g = -0 - z. Solve 5 = g*k - 0 for k. 1 Suppose -44*v - 1105 = -57*v. Solve 182 = -v*t + 111*t for t. 7 Let f(y) be the third derivative of y**5/60 - 7*y**4/24 - 7*y**3/3 - 4*y**2 + 4. Let m be f(-2). Solve -10 = -m*g - g for g. 2 Suppose 0 = -49*h + 46*h - x + 140, 0 = -h + x + 52. Solve -5*d = -h*d + 172 for d. 4 Let y(g) = -g**2 + 18*g - 11. Let i be y(17). Suppose 0 = -i*n - 2*n. Solve -2*q + 6*q + 16 = n for q. -4 Let c(n) =
{ "pile_set_name": "DM Mathematics" }
? 4250 Convert 0.4732207 tonnes to milligrams. 473220700 How many tonnes are there in 508.3226 nanograms? 0.0000000000005083226 How many millilitres are there in fifty-four fifths of a litre? 10800 What is nineteen quarters of a litre in millilitres? 4750 Convert 9828.213 hours to minutes. 589692.78 What is 0.4205798 kilometers in micrometers? 420579800 What is 32/5 of a meter in millimeters? 6400 Convert 6200.236 centuries to decades. 62002.36 What is 1/10 of a minute in milliseconds? 6000 How many centuries are there in 876.9712 decades? 87.69712 How many kilograms are there in 43/2 of a tonne? 21500 Convert 2702.3523 months to centuries. 2.25196025 How many millilitres are there in three fifths of a litre? 600 How many centuries are there in 1/5 of a millennium? 2 What is 7/15 of a hour in minutes? 28 How many minutes are there in 17/6 of a week? 28560 What is seventeen quarters of a millimeter in micrometers? 4250 How many kilograms are there in 1/4 of a tonne? 250 How many minutes are there in fourty-five quarters of a day? 16200 How many millimeters are there in sixty-seven quarters of a meter? 16750 What is 13/4 of a litre in millilitres? 3250 What is 19/4 of a year in months? 57 Convert 9.760091 centimeters to millimeters. 97.60091 Convert 3183.282ng to milligrams. 0.003183282 How many micrograms are there in 66.79993 kilograms? 66799930000 What is eleven eighths of a kilogram in grams? 1375 What is 17/4 of a century in months? 5100 How many meters are there in 6/25 of a kilometer? 240 How many meters are there in 5872.876um? 0.005872876 What is 39430.59 millennia in years? 39430590 What is 3/40 of a litre in millilitres? 75 How many centimeters are there in 9/10 of a meter? 90 What is 25343.82 years in decades? 2534.382 What is 1/15 of a decade in months? 8 How many litres are there in 914.4671ml? 0.9144671 How many millilitres are there in eleven quarters of a litre? 2750 Convert 269186.2g to tonnes. 0.2691862 How many millilitres are there in 19995.1 litres? 19995100 What is two fifteenths of a millennium in months? 1600 How many minutes are there in 3/28 of a week? 1080 What is 0.2707125kg in grams? 270.7125 What is 17/4 of a litre in millilitres? 4250 Convert 831301.7ml to litres. 831.3017 How many millilitres are there in 76611.57 litres? 76611570 What is thirty-two fifths of a tonne in kilograms? 6400 What is 971.2073t in grams? 971207300 How many millimeters are there in 4474.978 meters? 4474978 How many decades are there in one fifth of a century? 2 How many millilitres are there in 1/10 of a litre? 100 What is one quarter of a millimeter in micrometers? 250 Convert 281.0033 litres to millilitres. 281003.3 How many days are there in thirteen sevenths of a week? 13 What is 94190.41 grams in milligrams? 94190410 How many nanograms are there in 0.818346mg? 818346 How many millilitres are there in 1/10 of a litre? 100 How many nanometers are there in 54321.03 millimeters? 54321030000 What is three eighths of a litre in millilitres? 375 What is 11/10 of a century in months? 1320 What is 792939.3 centuries in millennia? 79293.93 What is seven halves of a tonne in kilograms? 3500 How many centimeters are there in three fifths of a meter? 60 What is 0.9313581s in minutes? 0.015522635 How many minutes are there in 3/5 of a day? 864 What is three fifths of a milligram in micrograms? 600 What is 83517.47 minutes in milliseconds? 5011048200 What is thirty-one fifths of a decade in months? 744 What is 17/2 of a litre in millilitres? 8500 What is 8.261758 millimeters in micrometers? 8261.758 What is 8498.63 millilitres in litres? 8.49863 How many minutes are there in one ninth of a day? 160 What is 3.534419um in nanometers? 3534.419 Convert 69745.03 tonnes to milligrams. 69745030000000 What is fourty-five quarters of a century in months? 13500 How many seconds are there in 0.8563454us? 0.0000008563454 What is seventeen halves of a litre in millilitres? 8500 How many nanometers are there in three tenths of a micrometer? 300 How many months are there in 306.7598 decades? 36811.176 How many milligrams are there in fifty-four fifths of a gram? 10800 What is twenty-seven quarters of a litre in millilitres? 6750 How many seconds are there in 0.8551825ms? 0.0008551825 What is 44/5 of a decade in months? 1056 What is three fifths of a litre in millilitres? 600 What is twenty-five eighths of a day in minutes? 4500 What is 87.31 millilitres in litres? 0.08731 How many nanometers are there in 4808.212 centimeters? 48082120000 Convert 34.58672cm to kilometers. 0.0003458672 How many weeks are there in 519139.53 nanoseconds? 0.000000000858365625 What is 2/125 of a millennium in years? 16 How many millennia are there in 48425.79 years? 48.42579 What is 1/6 of a minute in milliseconds? 10000 Convert 6.754406ml to litres. 0.006754406 Convert 67.80796ml to litres. 0.06780796 How many centuries are there in 23851.155 months? 19.8759625 Convert 6.87403 centuries to years. 687.403 How many centimeters are there in 6/25 of a meter? 24 How many litres are there in 5.369817ml? 0.005369817 How many seconds are there in two fifteenths of a minute? 8 How many nanograms are there in 96581.67 micrograms? 96581670 Convert 8.9882325us to hours. 0.00000000249673125 How many seconds are there in one tenth of a day? 8640 What is eighteen fifths of a litre in millilitres? 3600 How many nanograms are there in 7/8 of a microgram? 875 How many months are there in seven eighths of a millennium? 10500 What is 21/8 of a litre in millilitres? 2625 How many grams are there in 15/4 of a kilogram? 3750 How many grams are there in thirty-one halves of a kilogram? 15500 What is 31/5 of a litre in millilitres? 6200 Convert 745739.1g to milligrams. 745739100 What is 0.9533995kg in nanograms? 953399500000 How many kilograms are there in six fifths of a tonne? 1200 How many millennia are there in 5703.937 years? 5.703937 What is eleven halves of a millennium in decades? 550 What is one fifteenth of a week in minutes? 672 What is 475.789 weeks in milliseconds? 287757187200 How many centimeters are there in 9/10 of a meter? 90 What is 0.7611484km in centimeters? 76114.84 What is 23/8 of a meter in millimeters? 2875 How many microseconds are there in 49/4 of a millisecond? 12250 What is 1/10 of a millennium in months? 1200 How many tonnes are there in 1.091918ng? 0.000000000000001091918 Convert 56810.7 millennia to centuries. 568107 What is eighteen fifths of a millennium in decades? 360 How many millilitres are there in 57/5 of a litre? 11400 How many nanoseconds are there in 6656.483 days? 575120131200000000 What is eleven tenths of a centimeter in micrometers? 11000 What is 2.34087nm in micrometers? 0.00234087 How many nanometers are there in three fifths of a micrometer? 600 How many litres are there in 92351.24 millilitres? 92.35124 How many minutes are there in 34/5 of a day? 9792 Convert 7497.861 decades to months. 899743.32 Convert 9.212095 nanometers to meters. 0.000000009212095 How many kilograms are there in 7/4 of a tonne? 1750 What is ten thirds of a minute in seconds? 200 What is 877.8394 millilitres in litres? 0.8778394 What is 31/5 of a millennium in decades? 620 How many grams are there in 55/2 of a kilogram? 27500 What is eighteen fifths of a litre in millilitres? 3600 Convert 0.085069cm to kilometers. 0.00000085069 What is 0.5356916 meters in kilometers? 0.0005356916 What is 86.3909 meters in micrometers? 86390900 How many decades are there in 1/5 of a millennium? 20 Convert 9.679669 millilitres to litres. 0.009679669 What is 3/8 of a litre in millilitres? 375 What is 1024.297 litres in millilitres? 1024297 Convert 44033.5 decades to centuries. 4403.35 How many years are there in 661.139 millennia? 661139 Convert 301.5107 micrometers to kilometers. 0.0000003015107 What is seventy-four fifths of a microgram in nanograms? 14800 What is 76/5 of a litre in millilitres? 15200 How many millilitres are there in 94.59293l? 94592.93 Convert 973091.4cm to meters. 9730.914 How many litres are there in 83293.02ml? 83.29302 What is 513950.5 decades in years? 5139505 Convert 5280.167 kilometers to centimeters. 528016700 How many millimeters are there in nine tenths of a meter? 900 Wh
{ "pile_set_name": "DM Mathematics" }
h is greater: 4438172 or 4438155? 4438172 Is -1 <= 220/865037? True Do -5452636 and -5452636 have the same value? True Is -0.049 less than -6377253? False Is -1844380 greater than or equal to 2/7? False Is -248.768 bigger than -4? False Which is bigger: -9512535 or 0.1? 0.1 Is -91155 not equal to -18777849/206? True Is 2 bigger than -5195862? True Which is bigger: 3678/203911 or 0? 3678/203911 Are -293/1032167 and -1 equal? False Are 0 and 31/193654 unequal? True Is -0.1 >= -66005/139? True Is -432272095 bigger than -432272095? False Do -270682 and -270194 have different values? True Which is smaller: -2.05427 or -1026? -1026 Is -14844 less than -15/202? True Is -1/2 >= -929328? True Which is bigger: -405534595 or -405534596? -405534595 Which is bigger: 4844217 or 53286380/11? 4844217 Is 3/1033736 at most 1? True Which is greater: 900872 or 3603483/4? 900872 Which is smaller: 9/953461 or 0? 0 Is 105978531 at least as big as 105978533? False Which is smaller: 276800 or 276804? 276800 Is -28934/1553 > -18? False Which is bigger: -50997708 or -560974786/11? -560974786/11 Which is bigger: 9286360/9 or 1031817? 9286360/9 Which is bigger: 985808 or -0.04? 985808 Is -5 equal to 44341307? False Are 21418 and 0.281 non-equal? True Which is bigger: 347215/49 or 7087? 7087 Which is smaller: 1/3 or -10195/3692? -10195/3692 Which is bigger: -324457 or -23.62? -23.62 Which is bigger: -1250937 or -1250879? -1250879 Is 0 < -5/67793718? False Which is greater: -6149011/4 or -1537253? -6149011/4 Which is bigger: -183398/561 or -328? -183398/561 Is -45862307 at most as big as -45862307? True Which is greater: -24361864 or -24361865? -24361864 Which is greater: -7251104/15 or -10? -10 Which is greater: 164/35039 or 1? 1 Which is smaller: 52705 or 47455? 47455 Does 684861 = 684834? False Which is bigger: 10011/1114 or 10? 10 Which is greater: -67771/235 or -289? -67771/235 Does -57442 = -3561401/62? False Is -33744696/7 <= -4820670? True Is -45 at most as big as -85831? False Do 337567 and 339591 have different values? True Which is greater: -87 or -13505? -87 Which is greater: 0.1 or -123681188? 0.1 Which is bigger: 2267270 or -3/2? 2267270 Which is greater: 4864/2351 or 2? 4864/2351 Is -56810 at least as big as -316? False Is -6 >= -28333/5343? False Is 0 != -1/100846112? True Are -40556/18425 and 0.1 unequal? True Are -7/16968009 and -1 unequal? True Is -62181035/11 not equal to -5652820? True Which is smaller: -2174/769 or -4? -4 Is 22715 <= 41812? True Do -9 and 7870462 have different values? True Is -2/80214431 bigger than 0? False Which is smaller: -2825545 or -2825555? -2825555 Is -10189 != -7.493? True Which is smaller: -596209 or -596208? -596209 Which is smaller: -9/4 or 1524176? -9/4 Which is smaller: 3/2 or 32164.616? 3/2 Is -1 not equal to 1/57540056? True Is -638763985 bigger than -638763987? True Which is smaller: 180219 or 180187? 180187 Is 1724424 at least 1724420? True Is 54088252 at least 1027676790/19? False Is 161705 bigger than -118/7? True Which is greater: 7/163012308 or 0? 7/163012308 Is -6069690 > -6069705? True Which is smaller: 0 or 1.691776876? 0 Is 39226240 less than or equal to 39226240? True Which is bigger: -220 or -516254/2333? -220 Which is greater: 497 or -42070? 497 Which is smaller: -3/8804 or -49052? -49052 Which is smaller: 0 or 8/986189? 0 Is -5093526/13 <= -391811? False Is -1490854 at most as big as 20/11? True Is -2454 at most -875690/357? True Do 3667 and -1248 have the same value? False Which is greater: -7597184 or -7597183? -7597183 Is 8520384 at least 8520364? True Which is smaller: -23593 or -23329? -23593 Which is smaller: -563377 or -563759? -563759 Are 202730 and 202729 non-equal? True Which is smaller: 3015239 or 3015219? 3015219 Which is greater: 290740 or 290454? 290740 Do -642/572509 and 0 have different values? True Which is bigger: -77632 or -77646? -77632 Does -56 = 298031? False Is -1 < -1/8523708? True Are -1/2293404 and 30 nonequal? True Is 109636.1 less than -57? False Is 837585 <= 837481? False Do 536698 and 536692 have the same value? False Is 1 != 2/88215097? True Is -988 at most -740? True Which is smaller: -5272856 or -5272870? -5272870 Which is smaller: 1/10031009 or -1? -1 Is 0 < -8395/27524? False Is 1 at most as big as 2/33074505? False Is 3643041 not equal to 3643043? True Is -1417314 bigger than -1417314? False Is 282366 not equal to 1411833/5? True Which is greater: 1286/7 or 4942? 4942 Is -53/389872 greater than or equal to -7? True Which is bigger: -56717 or -57031? -56717 Is 11385724 at least 11385723? True Is -1/2495322963 bigger than 0? False Which is smaller: -1/60928604 or 0? -1/60928604 Which is bigger: -0.077881 or -66? -0.077881 Is 1772881 greater than 8864412/5? False Is 15 less than 5707/394? False Which is smaller: -26007046 or -26007045? -26007046 Which is smaller: 79321398 or 79321394? 79321394 Which is bigger: 37121827 or 37121826? 37121827 Which is bigger: -10563967 or 0? 0 Is 24028 less than -1958? False Which is greater: -7/3115158 or 0? 0 Which is bigger: 0.1006 or 0.7801? 0.7801 Which is smaller: -1/86391 or 419/6? -1/86391 Which is bigger: -461 or -130117? -461 Which is smaller: 54.720358 or -2/9? -2/9 Which is bigger: 22 or 70828? 70828 Are -1277 and -100965/79 equal? False Which is bigger: 22813063 or 22813065? 22813065 Which is smaller: -49 or 2/25189571? -49 Which is smaller: 1 or -17666/15? -17666/15 Which is smaller: 49431 or 49449? 49431 Which is greater: 777386 or 777384? 777386 Is -34850 greater than -34875? True Does 12/455683 = -2.34? False Which is bigger: 535 or 744710/1393? 535 Which is bigger: 0.248 or -6304? 0.248 Is 159/790894 not equal to -1? True Is -6 != 854294? True Does 7279 = 1049? False Is 239143 bigger than 239221? False Which is smaller: 26057976/53 or 491661? 26057976/53 Is -15503779/7 at least -2214825? False Is 16027771/6 > 2671295? True Do 1374838/81 and 16973 have the same value? False Is 19440415 > 19440414? True Which is bigger: 67758 or 28? 67758 Which is smaller: 346 or 25303? 346 Do 12 and -10480110 have different values? True Which is greater: 106/2133 or -1/62? 106/2133 Which is bigger: -75121 or -75149? -75121 Which is smaller: -63860 or -63475? -63860 Is 1 greater than or equal to 2/165491131? True Which is smaller: 581/4 or -32496? -32496 Is 1 bigger than 6/13842491? True Which is smaller: 0 or 538/1708581? 0 Is -287436 greater than -0.28? False Is -376935 >= -376916? False Which is greater: -48 or -136765/2831? -48 Is -1860 at least as big as -4295? True Which is smaller: 95543423/2 or 47771711? 47771711 Are 1060 and -421 non-equal? True Is -1925324 at least -28879838/15? False Is 419/182 > 125? False Which is smaller: 413221 or -3/2? -3/2 Which is smaller: -947 or 3/7685? -947 Which is smaller: -24681838 or -24681834? -24681838 Is -101 at least as big as -65.1386? False Which is smaller: 53581186 or 3? 3 Which is bigger: -279983 or -278722? -278722 Is 3/8 at most as big as -235/1549? False Is 229229 equal to 229117? False Which is bigger: 1 or -205/29178? 1 Which is greater: 4613430 or 4613439? 4613439 Is 1472157/4 greater than 0.6? True Which is bigger: -2/17904727 or -1? -2/17904727 Which is smaller: -3 or -111186? -111186 Is -1/3 <= 2935156? True Which is smaller: -3/14 or -4919.598? -4919.598 Is -145339405/9 less than or equal to -16148824? False Is -1771108 greater than or equal to -1771113? True Which is bigger: 1 or -76/11429483? 1 Which is bigger: -609 or -7412? -609 Is 278180919 > 278180919? False Is 13518660 at least as big as 13518658? True Do 0 and -29/3361295 have the same value? False Which is greater: 29566454/7 or 4223780? 4223780 Which is smaller: -0.1 or 192663642? -0.1 Is 984131364 at most as big as 984131362? False Is 90917 < 274? False Which is bigger: 482038/157 or 3070? 482038/157 Which is bigger: -2/1072233047 or 0? 0 Is -16.52 < -2/11897? True Is 20482 <= -66? False Which is greater: 266111 or 265784? 266111 Is -5864980/3 < 0.7? True Which is smaller: 1581848 or 541? 541 Is 349/274455 at most as big as -1? False Which is smaller: 254086 or 0.064? 0.064 Are -392 and 205104 nonequal? True Is -182955 equal to -182925? False Do 50795546 and 50795546 have the same value? True Is -1 < -146/770151? Tru
{ "pile_set_name": "DM Mathematics" }
+ 6*d + 299? -7234 Find the third derivative of 373*u**5 - u**3 + 2763*u**2 wrt u. 22380*u**2 - 6 Differentiate -3*k**3*m**3 + 143*k*m**3 - 106*m**3 + 3*m**2 with respect to k. -9*k**2*m**3 + 143*m**3 Find the second derivative of 3*u**2*v - 17*u**2 - 73*u*v + v wrt u. 6*v - 34 Find the first derivative of 14976*a**2*b**3*y + 4952*a**2*b**3 wrt y. 14976*a**2*b**3 Find the second derivative of 51*m*t**2 + 4*m*t + 12*t**3 + 14 wrt t. 102*m + 72*t What is the second derivative of -106*c**5 - 21*c**3*t**2 + 3*c*t**2 - 209*t wrt c? -2120*c**3 - 126*c*t**2 Find the first derivative of g*l - 155*g - 78*l wrt l. g - 78 What is the third derivative of 29*f**2*j**3 - 12*f**2*j**2 + 4*f**2*j + 3*j**4 wrt j? 174*f**2 + 72*j What is the derivative of -q**4 - 4*q**3 + 23*q - 24128? -4*q**3 - 12*q**2 + 23 What is the second derivative of 10*l*p*q**2 + 21*l*p*q + l*p + 16*l*q**2 + 3*l*q + 2*p*q**2 - 4*q wrt q? 20*l*p + 32*l + 4*p Find the third derivative of -471*f**6 + 9*f**4 + 357*f**2 + 2*f + 1 wrt f. -56520*f**3 + 216*f What is the third derivative of -12200*q*u**3 - 394*q*u + 9*u**2 wrt u? -73200*q Differentiate -6*i*j*s**3 + 6*i*j + 52*i + 145*j*s**3 - 2*j with respect to s. -18*i*j*s**2 + 435*j*s**2 Find the third derivative of -2*g**3*j**3 + 2*g**3*j**2*z + 12*g**3*j**2 + g**2*j**3*z + 4*g**2*j*z + 1283*j**3 wrt j. -12*g**3 + 6*g**2*z + 7698 What is the second derivative of 195*b**2 + 117*b wrt b? 390 Find the second derivative of 3*b**2*c*p + 4*b**2*c + b**2*p - 133*b*p + c*p wrt b. 6*c*p + 8*c + 2*p What is the third derivative of 574*b*t**4 - b*t**3 + 22*b*t**2 - 5*b*t wrt t? 13776*b*t - 6*b What is the third derivative of -5*f**3*p**3 + 28*f**3*p**2 + 4*f**2*p + 103*p**3 wrt f? -30*p**3 + 168*p**2 What is the third derivative of b*h*t**2 + 117*b*t**3 + h**3*t**3 - 4*h**3*t - 15*t**2 wrt t? 702*b + 6*h**3 What is the third derivative of 207*m**5 - m**2 + 9*m wrt m? 12420*m**2 Find the second derivative of 4*a**3*v**2 + a**3*x + 2*a**2*x**3 + 2*v**2*x**3 - 13*v*x**2 + 2*v*x wrt v. 8*a**3 + 4*x**3 What is the first derivative of -9114*x**2 + 8799 wrt x? -18228*x What is the second derivative of -8*a**4*n + 2*a**4 + 22*a**2*n + 3*a + 919*n wrt a? -96*a**2*n + 24*a**2 + 44*n What is the first derivative of 3510*p + 8436 wrt p? 3510 Find the second derivative of -3*c**4*l**2 - 316*c**2 + 5*c*l**2 + c - 23 wrt c. -36*c**2*l**2 - 632 Differentiate 4*w**4 + 4*w**3 - 59*w**2 - 1239 wrt w. 16*w**3 + 12*w**2 - 118*w Find the third derivative of 30*x**4 - 3*x**3 + x**2 + 21. 720*x - 18 What is the second derivative of -1271*x**4 - 4196*x? -15252*x**2 Find the third derivative of -26*d**2*m**3 - 4*d**2*m**2 + 10*m**3 + 29*m**2 wrt m. -156*d**2 + 60 Find the second derivative of 46*a**5 - a**4 - 5*a - 11. 920*a**3 - 12*a**2 Find the first derivative of 920*p + 234. 920 Find the second derivative of -4*g**2*k**4 + 2*g**2*k - 50*g*k**4 - 4*g*k + g wrt k. -48*g**2*k**2 - 600*g*k**2 What is the third derivative of 228*h**2*s**3 + 3*h**2*s**2 + 69*s**2 wrt s? 1368*h**2 What is the second derivative of -1326*g*p**3 + 3*g*p**2 - 21*g*p + 2*p**3 - 32 wrt p? -7956*g*p + 6*g + 12*p What is the third derivative of -75*g**3*v*z**2 - g**3*v*z + 11*g**2*v*z**2 - 2*g**2*v - 2*g*v*z**2 - z wrt g? -450*v*z**2 - 6*v*z Find the third derivative of -2*j**4*l + 539*j**3 - 1927*j**2*l - 2*j*l wrt j. -48*j*l + 3234 Find the first derivative of 320*m*n + 5*m - 6206*n wrt m. 320*n + 5 What is the second derivative of 43*c**2 + 156*c wrt c? 86 What is the third derivative of 441*l**4*m - 3*l**3*m - 2*l**3 - 58*l**2*m + 14*l**2 wrt l? 10584*l*m - 18*m - 12 Find the second derivative of -2*o**5 + 2188*o**4*t**2 + 29*o*t**2 - 26*o*t - 2*o + t**2 wrt o. -40*o**3 + 26256*o**2*t**2 Differentiate 1073*h*j + 5894*h wrt j. 1073*h What is the third derivative of 37*a**4*d**2 + 5*a**4 + 2*a**3*d**3 + a**2*d**3 + 807*a**2 + 7*a*d wrt a? 888*a*d**2 + 120*a + 12*d**3 What is the third derivative of o**4*x**2*z + 17*o**4*x*z + 4*o**2*x**2*z - 3*o*x**2 + 5*x*z wrt o? 24*o*x**2*z + 408*o*x*z Find the second derivative of a**3*p**3 - 20*a**3*p**2 - 3*a**2*p**3 - 9*a*p**3 - a*p + p**3 wrt a. 6*a*p**3 - 120*a*p**2 - 6*p**3 Find the second derivative of 275*u**5 - 8*u - 37. 5500*u**3 Differentiate -840*t**3 + 2*t**2*y**3 + t**2*y + 1229*y**3 with respect to t. -2520*t**2 + 4*t*y**3 + 2*t*y What is the second derivative of 644*s**3*y**5 + 8*s**3*y**3 + 42*s**3*y - 184*y wrt y? 12880*s**3*y**3 + 48*s**3*y Find the third derivative of 4602*r*y**6 - 99*r*y**2 - 3*r*y wrt y. 552240*r*y**3 What is the second derivative of -5353*d**2 - 427*d + 2? -10706 Find the third derivative of 4*q**3*w**3 - 7*q**3*w - q**2*w**3 - 229*q**2 wrt q. 24*w**3 - 42*w Differentiate 2*h**2*l*z - 3*h*l*z + 2*h*l + 540*h*z - 155*l*z - 5*z wrt h. 4*h*l*z - 3*l*z + 2*l + 540*z Find the second derivative of 2*l**2*p**2*t + 185*l**2*t + l*t - 2*p**2*t + 10*p**2 + 2 wrt l. 4*p**2*t + 370*t Find the second derivative of -2*c**3 - 172*c**2 + 71*c. -12*c - 344 What is the third derivative of -2*a**3*j*r*z - 3*a**3*r**3*z + 3*a**2*r**2*z + 207*a*j*r - 29*a*r**3*z + j*r**3*z wrt r? -18*a**3*z - 174*a*z + 6*j*z What is the derivative of 1278*n**3 + 970 wrt n? 3834*n**2 What is the second derivative of -566*m**5 - 281*m wrt m? -11320*m**3 What is the second derivative of 877*x**4 + 2*x**2 + 271*x? 10524*x**2 + 4 Find the third derivative of -276*j**3 + 518*j**2. -1656 What is the first derivative of 146*p**3 - 166 wrt p? 438*p**2 Differentiate -1826*d**2*m - 2398*d**2 - 2*d*m**2 with respect to m. -1826*d**2 - 4*d*m Differentiate 2*n*r*z + 5*n*z**3 + 19*n - 3*r*z**3 + 3*r wrt z. 2*n*r + 15*n*z**2 - 9*r*z**2 What is the third derivative of -527*a**3 + 709*a**2? -3162 What is the second derivative of -2189*l*m**2 - 23*l*m wrt m? -4378*l Find the second derivative of -208*b**4 - 4*b - 9 wrt b. -2496*b**2 Find the first derivative of -20*d**3*i*k + 2*d**3 + d**2*i**2 - 3*d*k + 3*i**2*k - 224*i**2 wrt k. -20*d**3*i - 3*d + 3*i**2 Find the first derivative of -27*b*z - 59*b + z**4 wrt z. -27*b + 4*z**3 What is the second derivative of -156*p**5*y**2 - 4*p*y**2 + p - 4*y**2 wrt p? -3120*p**3*y**2 What is the second derivative of -2*g**5*p - 113*g**5 + 341*g*p wrt g? -40*g**3*p - 2260*g**3 Find the first derivative of -64*a**2*n**3 - 2*a*m*n + 31*m*n + n**3 wrt a. -128*a*n**3 - 2*m*n Find the first derivative of -9*d**3 - 12*d**2 + 853 wrt d. -27*d**2 - 24*d Differentiate 175*q**2 + q + 38 with respect to q. 350*q + 1 What is the second derivative of -845*l**4 - 645*l + 3 wrt l? -10140*l**2 Find the third derivative of 17617*i**3 + 12408*i**2 wrt i. 105702 What is the second derivative of 53*w**3*x**2 + 2*w**3 + 7*w**2*z - 154*w*x**2*z + 48*w*x*z - 4*w*x wrt x? 106*w**3 - 308*w*z What is the third derivative of -p**4 + 3*p**3 - 100*p**2 wrt p? -24*p + 18 What is the first derivative of 59*w**4 - w**3 + 63? 236*w**3 - 3*w**2 What is the third derivative of 101*k**3 - 44*k**2 wrt k? 606 What is the third derivative of 13*b*n**3*y + b*n**2 + 4*b*n*y - 2*b*n - 30*n**3*y + 2*y wrt n? 78*b*y - 180*y Find the third derivative of 6688*p**3 - 86*p**2 - 15*p. 40128 What is the second derivative of -486*b**3 + 2*b**2 + 76*b + 1? -2916*b + 4 What is the second derivative of -94*a**3 + 9*a**2 + 2*a - 114? -564*a + 18 What is the third derivative of 143*j**3 - 266*j**2 wrt j? 858 What is the derivative of 181*p**4 + 41 wrt p? 724*p**3 Differentiate 617*m + 545 wrt m. 617 Find the first derivative of 2*a**2 - 31*a - 82 wrt a. 4*a - 31 Find the first derivative of 556*u**4 + 511 wrt u. 2224*u**3 Find the second derivative of -734*t**2 - 3*t + 1239. -1468 What is the third derivative of 134*n**4 - 132*n**2 wrt n? 3216*n What is the second derivative of -2*l**3*t - 423*l**3 + 2*l**2*t**2 + 2*l**2 - 22*l*t - 18*t**2 wrt l? -12*l*t - 2538*l + 4*t**2 + 4 Differentiate 6*g**3*m**4 + 8*g**3 + g*m**2 - 50*g + 5*m**4 wrt m. 24*g**3*m**3 + 2*g*m + 20*m**3 Find the third derivative of 39*a**3*b**6*q + 3*a**3*b**2 + 2*a**2*b**2 - 7*a*b**4*q - 7*b**2*q - 1 wrt b. 4680*a**3*b**3*q - 168*a*b*q What is the first derivative of 8208*i**3 - 20723? 24624*i**2 Find the first derivative of -67*m*u + m - 18*u + 2 wrt m. -67*u + 1 What is the third derivative of -2*b**3*c**2 - 9*b**3*c*p**2
{ "pile_set_name": "DM Mathematics" }
Let a(f) = f. Let t(g) = 83644*g. What is t(a(c))? 83644*c Let l(y) = -2738*y - 5661. Let a(r) = -33*r - 68. Let b(c) = -333*a(c) + 4*l(c). Let z(v) = 34*v**2. What is b(z(w))? 1258*w**2 Let i(o) be the first derivative of o**2 - 3 - 5*o**2 + 0*o**2 + 0*o**2. Let d(x) = x + 4. Let q(c) = 1. Let s(g) = -d(g) + 4*q(g). What is i(s(w))? 8*w Let v(n) = 6*n. Let k be 36/10 - 18/(-45). Suppose -c - k = -6. Let d(f) = -4*f**2 + 0*f**2 + 2*f**2 + 4*f**c. Calculate d(v(b)). 72*b**2 Let v(x) = -2*x. Suppose -4*j = -3*c - 7*j + 21, -4*c + 5*j = -37. Suppose -20 + c = -4*s. Let m(n) = -n**2 - s*n**2 + n**2. Calculate m(v(z)). -12*z**2 Let j(w) = 2*w. Let n(k) = 355*k. Let u(s) be the second derivative of -s**3/6 + 34*s. Let a(x) = -n(x) - 426*u(x). Calculate a(j(v)). 142*v Let u(p) = 1857*p**2. Let o(i) = -2*i**2 - 2. What is u(o(v))? 7428*v**4 + 14856*v**2 + 7428 Suppose m = -5*n - 13, -4*n = 13 - 1. Let v(p) = p**m + 212*p - 104*p - 108*p. Let c(s) = 21*s - 2. Calculate v(c(o)). 441*o**2 - 84*o + 4 Let x(p) = 7*p. Let o(q) = 11*q. Let f(z) = 2*o(z) - 3*x(z). Let r(k) = 87*k - 1. Calculate r(f(c)). 87*c - 1 Let v(y) = -y**2. Let p(u) = 74*u - 6. Let h(i) = -81*i + 7. Let q(w) = 6*h(w) + 7*p(w). What is q(v(a))? -32*a**2 Let y(r) = 2*r**2. Let k = -586 - -589. Let h(p) be the third derivative of 0*p + 5*p**2 + 0 - 13/24*p**4 + 0*p**k. What is h(y(z))? -26*z**2 Let a(l) = 2*l + l - 2*l - 2*l. Let f(r) be the third derivative of -7*r**4/24 + 2*r**2. What is a(f(y))? 7*y Let t(y) = 676*y. Let b(k) be the first derivative of -k**2 - 309. Give t(b(w)). -1352*w Let u(q) be the first derivative of 3/2*q**2 + 0*q - 12. Let k(f) be the third derivative of -f**4/6 + 2*f**2. Calculate u(k(o)). -12*o Let k(x) = 4 - 1 + x - 4 - 6. Let i(u) = 3. Let q(t) = 7*i(t) + 3*k(t). Let f(g) be the third derivative of -g**5/20 - g**2. Calculate q(f(n)). -9*n**2 Let z = 23 + -3. Let o(t) = 20 + t - z. Let k(u) = 8*u. Let r(q) = k(q) - 4*o(q). Let y(p) = -p. Determine r(y(v)). -4*v Let r(w) = 10*w + 1. Let a(t) = 6*t**2 - 20*t. Let b(q) = 9*q**2 - 32*q. Let y(h) = 8*a(h) - 5*b(h). Give r(y(j)). 30*j**2 + 1 Let i(a) = 5*a**2. Let l(v) = 18159*v**2 - 1. What is l(i(q))? 453975*q**4 - 1 Let a(r) = -18*r. Let i(f) = -f**2 + 19667*f. What is i(a(w))? -324*w**2 - 354006*w Let q(x) = 7*x. Let d(z) = 2*z**2 + 4. Let w(k) be the first derivative of -2*k**3/3 - 3*k + 3. Let r(j) = 3*d(j) + 4*w(j). What is q(r(u))? -14*u**2 Let r(j) be the third derivative of 0 + 0*j + 25/24*j**4 + 25*j**2 + 0*j**3. Let k(q) be the second derivative of -q**3/3 - q. Give k(r(n)). -50*n Let l(u) = -169201 + 169201 - u**2. Let g(x) be the first derivative of -x**5/20 - 3*x**2/2 + 2. Let j(c) be the second derivative of g(c). Calculate j(l(f)). -3*f**4 Let p(k) be the first derivative of 2*k**3/3 - 26. Let w(a) be the third derivative of -2*a**2 + 0 + 1/12*a**5 + 0*a**3 + 0*a + 0*a**4. Determine w(p(b)). 20*b**4 Let q(n) be the second derivative of n**4/6 + 22*n. Let d(i) = -100*i**2. Give q(d(g)). 20000*g**4 Let s(h) = -h**2 - 6*h + 144. Let t(d) = -33*d**2 - 2. Calculate s(t(o)). -1089*o**4 + 66*o**2 + 152 Let d(m) be the third derivative of 2*m**5/15 + m**4/8 + m**2 - 8. Let k(s) = -2*s. Determine k(d(q)). -16*q**2 - 6*q Let i(t) = -3*t**2. Let n(c) be the second derivative of -185*c**3/6 - 43*c - 1. Give n(i(q)). 555*q**2 Let l(x) = -3*x**2 - 3*x + 2*x + 2*x - x. Let b(d) = 105*d**2. What is l(b(o))? -33075*o**4 Let d(c) = -3196*c**2. Let o(u) = 574*u. Calculate o(d(v)). -1834504*v**2 Let j(r) = 593*r. Let o(u) = u**2 - 77*u. Determine j(o(h)). 593*h**2 - 45661*h Let q(u) = 4*u. Let b(n) = -39*n + 175*n - 63*n + 93*n. Determine b(q(p)). 664*p Let l be (-5)/((-5)/(-4))*-3. Let q(f) = l - 6 - 16*f - 6. Let y(c) = -2*c. Give y(q(p)). 32*p Let g(o) = o**2. Let h(r) = -2513086*r**2. Give h(g(u)). -2513086*u**4 Let v(w) = 25*w - 6. Let s(u) = u + 6. Let q be s(0). Let l(b) = -1349*b + 323. Let h(n) = q*l(n) + 323*v(n). Let d(i) = 3*i + 0*i - 2*i. Give h(d(r)). -19*r Let s(b) = -29*b**2 - 11*b - 11. Let x(u) = -5*u**2 - 2*u - 2. Let p(n) = -2*s(n) + 11*x(n). Let j(w) = 18*w - 12*w**2 + 16*w - 34*w. Calculate p(j(a)). 432*a**4 Let c(y) = 5*y - 2. Let b(u) = 60*u - 25. Let v(d) = -4*b(d) + 50*c(d). Let h(w) be the second derivative of w**3/6 + 5*w. Calculate v(h(m)). 10*m Let g(r) be the second derivative of -5*r**3/6 + r - 12. Let j(b) = -26*b**2 + 1. Give j(g(q)). -650*q**2 + 1 Let a(u) = -23*u**2 + 3*u. Let r = -14 + 11. Let m(f) = -f. Let x(j) = r*m(j) - a(j). Let q(i) = i**2. Determine q(x(v)). 529*v**4 Let y(p) = -96*p. Let t(m) = -5*m**2 + 347837*m - 347837*m. Calculate t(y(g)). -46080*g**2 Let y(i) = 9*i**2. Let w(g) = 4*g**2 + 6. Let l(x) = x**2 + 15*x - 6. Let r be l(-15). Let j(u) = 7*u**2 + 11. Let p(b) = r*j(b) + 11*w(b). Calculate p(y(o)). 162*o**4 Let l(v) = -4717*v**2 + 212*v - 1060. Let t(k) = 111*k**2 - 5*k + 25. Let i(b) = 5*l(b) + 212*t(b). Let j(u) = u**2. What is j(i(o))? 2809*o**4 Let s(b) be the third derivative of -b**4/12 + 2*b**2. Let q(v) = -7*v**2 - 7*v - 7. Let m(x) = 7*x**2 + 6*x + 6. Let o(w) = 7*m(w) + 6*q(w). Give s(o(f)). -14*f**2 Let c(r) = -6*r**2. Let l(s) = s**2 + 1. Let j(t) = -3*t**2 - 4. Let a(m) = j(m) + 4*l(m). What is a(c(n))? 36*n**4 Let v(j) = 3*j**2 + 20. Let r(x) = -63*x**2 - 5*x. What is r(v(f))? -567*f**4 - 7575*f**2 - 25300 Let g(p) be the first derivative of -5*p**3/3 - 510. Let r be (-2)/4*(-6 + 2). Let o(b) = -3*b**2 + 3*b**2 - 3*b**r. Give o(g(i)). -75*i**4 Let x(r) = 52*r**2. Let t(l) be the second derivative of -l**4/4 - 11*l + 3. Determine t(x(g)). -8112*g**4 Let m(j) = -2*j**2 - 8*j + 165. Let v(i) = -47*i - 2. What is m(v(w))? -4418*w**2 + 173 Let x(h) = -8*h + 2*h + h + 0*h. Let w(m) = 5*m**2. Determine w(x(b)). 125*b**2 Let a(c) = 176*c**2. Let y(i) = -492*i**2. What is y(a(m))? -15240192*m**4 Let w(k) = -5*k. Let q(y) = 3 - 51 - 94*y - 94*y + 187*y - 32. What is w(q(t))? 5*t + 400 Let s(j) = -14*j**2 + 101*j + 1. Let r(q) = -257*q. Determine r(s(o)). 3598*o**2 - 25957*o - 257 Suppose -5*h - v + 1764 = 0, 2*v = 3*h + 4*v - 1064. Let y(f) = 1 + 350*f**2 - 1 - h*f**2. Let t(p) = -4*p. What is t(y(i))? 8*i**2 Let b(d) = 6*d**2. Let u(w) = 15*w - 2886 - 2887 + 5773. Give u(b(v)). 90*v**2 Let t(b) = 2*b. Let y(q) = -496465*q. Calculate y(t(i)). -992930*i Let o(a) = 37*a**2 + 158*a + 4. Let c(q) = 2*q**2. What is o(c(g))? 148*g**4 + 316*g**2 + 4 Let s(b) = 3 - 3 + b. Let l = 95 - 92. Let a(c) = -5*c - l*c + 2*c. What is a(s(m))? -6*m Let g(x) be the first derivative of -1/2*x**2 + 3 + 0*x. Let k(l) = -l - l + 6*l. Calculate g(k(t)). -4*t Let b(u) be the first derivative of 84*u**2 + 7. Let h(w) = w. Give h(b(l)). 168*l Let a(q) be the second derivative of -q**3 + 110*q. Let s(o) = 14*o**2. Calculate a(s(z)). -84*z**2 Let q(t) = -7*t. Let a(z) = -z. Suppose 0*f + f - 6 = 0. Let d(o) = f*a(o) - q(o). Let l(v) = -4*v. Let g(r) = 2*r. Let c(m) = -7*g(m) - 3*l(m). Give c(d(s)). -2*s Let u(m) = -2*m. Let x(a) = -7*a**2 + 6*a. Let y(p) = -7*p**2 + 7*p. Let w = 4 + -10. Let g(b) = w*y(b) + 7*x(b). What is g(u(h))? -28*h**2 Let w(r) = -18*r + 8. Let a(y) = -11*y + 5. Let m(b) = 8*a(b) - 5*w(b). Let o(f) = 27*f**2. Give o(m(t)). 108*t**2 Suppose b + 3*j = -2*b + 6, -b + 10 = -3*j. Let g(v) = b*v - 11*v - 7*v. Let l(i) = 2*i**2. What is l(g(m))? 392*m**2 Let q(o) be the second derivative of o**6/40 - 9*o**3/2 - 26*o. Let s(m) be the second derivative of q(m). Let b(a) = -5*a**2. Determine b(s(k)). -405*k**4 Let d(o) = -2*o**2. Let h(g) = 4*g**2 - 482. Calculate h(d(x)). 16*x**4 - 482 Let n(u) = u. Suppose -4*g + 12 + 8 = 0. Suppose i - g - 1 = 0. Let b(d) = d + d + 0*d + i*d. What is b(n(c))? 8*c Let c(p) = -p + 4*p + 12*p**2 - 223 + 223. Let q(r) = 4*r**2. Determine q(c(u)). 576*u**4 + 288*u**3 + 36*u**2 Let m(y) = -y**2. Let k(t) be the third derivative of -t**4/6 - 103*t**3/6 - 605*t**2. Determine k(m(d)). 4*d**2 - 103 Let d(r) be the first derivative of r**2 + 214. Let b(p) = 235*p. Give d(b(x)). 470*x Let i(y) = -2*y - 7. Let m be i(-6). Let x(s) = 2 - m*s**2 - 2 + 2*s**2. Let j(c) = -c. Let u(v) = 6*v. Let g(b) = 39*j(b) + 6*u(b). Calculate x(g(z)). -27*z**2 Let w(u) = -u**2. Let m(s) = -405 + 203 + 202 + 21*s + 7*s**2. What is w(m(j))? -49*j**4 - 294*j**3 - 4
{ "pile_set_name": "DM Mathematics" }
99 - 771? 79328 In base 9, what is -1172678038 + 0? -1172678038 In base 3, what is 20010 - 1110200011212? -1110122221202 In base 16, what is -7f85693 - -6? -7f8568d In base 3, what is -11 + -21111111112111? -21111111112122 In base 7, what is -163336233 + 134? -163336066 In base 3, what is -11 + -110121110122021? -110121110122102 In base 9, what is 638 - -16103? 16742 In base 9, what is -877305 + 16? -877278 In base 3, what is 112222201110022 + 110? 112222201110202 In base 15, what is 84a - 20c8? -177d In base 9, what is 62 - -10345726? 10345788 In base 13, what is 2b + 29622a4? 2962302 In base 10, what is -5 + -44863777? -44863782 In base 14, what is 4 + -c4642c7? -c4642c3 In base 2, what is -10000010100 + 10100101011001? 10010101000101 In base 15, what is -1c1 + 162b8? 160e7 In base 4, what is -1331030201 + 2? -1331030133 In base 12, what is -1308209 - 92? -130829b In base 6, what is -24 - -14103113? 14103045 In base 2, what is -100011101 + -1010010100111? -1010111000100 In base 16, what is -6ce23 + 17a? -6cca9 In base 2, what is -1110101110001001 - -1001011100001? -1101100010101000 In base 16, what is 7ecb + e9? 7fb4 In base 5, what is -132 + -4142333? -4143020 In base 9, what is 55852454 - 4? 55852450 In base 15, what is 0 + 11d869? 11d869 In base 9, what is 201 + 40042? 40243 In base 11, what is 112a321 - 2a? 112a2a2 In base 7, what is 13312322 + 11? 13312333 In base 2, what is -10 - 1010111110010001110011? -1010111110010001110101 In base 10, what is -2 + 8716339? 8716337 In base 9, what is 480667 + 74? 480752 In base 13, what is 171032a3 + 3? 171032a6 In base 8, what is 1023 - -100777? 102022 In base 3, what is 1211002211100 + -201? 1211002210122 In base 9, what is 142 + 6134860? 6135112 In base 6, what is -5024032023 + 3? -5024032020 In base 11, what is 23 - -834698? 834710 In base 13, what is -124 + 133858? 133734 In base 8, what is 154 + -70732? -70556 In base 6, what is -5 - -5351241? 5351232 In base 5, what is 31 + -2044021101? -2044021020 In base 2, what is -101 + 10110001111010111011011011? 10110001111010111011010110 In base 2, what is 101101 - -101000101011011000? 101000101100000101 In base 13, what is 14c7 + -ca4? 523 In base 7, what is 4 - -121342542? 121342546 In base 10, what is 0 + -1724538? -1724538 In base 9, what is -12567 + 30535? 16857 In base 13, what is -b220a2 - 140? -b22212 In base 12, what is -3 + 811570? 811569 In base 10, what is -5502935 + -1? -5502936 In base 14, what is 3151 + 79c8? ab39 In base 14, what is 4 - -1a5b963? 1a5b967 In base 13, what is 4 - -64b26c? 64b273 In base 9, what is 63754 - 1381? 62363 In base 2, what is 100 + -1001010111111101000011000000? -1001010111111101000010111100 In base 4, what is -110322233 + -1123? -110330022 In base 14, what is 4d0981 + 5? 4d0986 In base 8, what is -515 + 1153225? 1152510 In base 10, what is -890 + 29195? 28305 In base 11, what is 157a + -632? a48 In base 9, what is -27 + 1445578? 1445551 In base 7, what is 616344605 - -21? 616344626 In base 4, what is 22300 + 210003103? 210032003 In base 10, what is -3 + -1807688? -1807691 In base 2, what is 1001011000100100100 - -10101? 1001011000100111001 In base 15, what is 28854 + 43? 28897 In base 14, what is -8 - 47494ca? -47494d4 In base 11, what is -322 - 11001? -11323 In base 6, what is 11 + 451212355? 451212410 In base 11, what is 2 - 9467332? -9467330 In base 14, what is 0 - 115a9a7? -115a9a7 In base 9, what is -210442 - -10? -210432 In base 8, what is -4066642 - -156? -4066464 In base 9, what is 4 + -26406828? -26406824 In base 8, what is -3703002 - 10? -3703012 In base 16, what is -2 + 3948d11? 3948d0f In base 16, what is 272e - c1df? -9ab1 In base 4, what is 10012023332313 - -10? 10012023332323 In base 5, what is 0 + -142314110100? -142314110100 In base 10, what is 19543235 + -2? 19543233 In base 3, what is -121022001102102 - 2011? -121022001111120 In base 6, what is 145523333 + 111? 145523444 In base 5, what is 20 - 4204401003? -4204400433 In base 6, what is 40100205 - 3? 40100202 In base 14, what is 0 + -5281ab? -5281ab In base 14, what is -7212da + 2? -7212d8 In base 6, what is 10141 + -21354? -11213 In base 9, what is 431514430 + -5? 431514424 In base 8, what is -14 - 3047063? -3047077 In base 10, what is 563 + 53479? 54042 In base 3, what is 1111000200001 + 102? 1111000200110 In base 9, what is 716 + -205872? -205155 In base 2, what is -10110001011010100000 - -1010010? -10110001011001001110 In base 14, what is 3 - 59b8ca6? -59b8ca3 In base 16, what is -34e0 - -13da? -2106 In base 11, what is -4 - -383474? 383470 In base 9, what is -7 - 8802556? -8802564 In base 12, what is -12a772 + 224? -12a54a In base 14, what is 53 + -6d4496? -6d4443 In base 8, what is 1171333 + -11? 1171322 In base 8, what is 46 + 726261? 726327 In base 10, what is 34 + 2795204? 2795238 In base 13, what is 26797b1 - 0? 26797b1 In base 13, what is -35 + -266a486? -266a4bb In base 11, what is 31853 - -260? 32003 In base 14, what is -7192a - -48? -718c2 In base 6, what is 1 + -103202331333? -103202331332 In base 2, what is 1111101011101001 + -1000001000011? 1110101010100110 In base 16, what is -3b5d0 + 0? -3b5d0 In base 11, what is 8241a + -727? 817a3 In base 7, what is -4 - 4214506644? -4214506651 In base 11, what is -4082a5 + -483? -408778 In base 11, what is -694a85 + -16? -694aa0 In base 3, what is 1121101022221 - -2021? 1121101102012 In base 3, what is 12020201201010 + -11? 12020201200222 In base 3, what is 20020 - 120122011? -120101221 In base 13, what is 4 - 382b38? -382b34 In base 9, what is 1026 + 1602126? 1603153 In base 11, what is -57136 - -163? -56a83 In base 16, what is -4 - 6ddd2? -6ddd6 In base 11, what is -74966 - -142? -74824 In base 16, what is -18a + -1b66c? -1b7f6 In base 15, what is 4dc0ea2 + 3? 4dc0ea5 In base 11, what is 293 + 83a02? 84195 In base 11, what is -457051 - -2a4? -456858 In base 12, what is 11257118 - -3? 1125711b In base 3, what is -1000 - -110001021111012? 110001021110012 In base 15, what is 1 + -16b41a? -16b419 In base 11, what is 693a3447 - 2? 693a3445 In base 9, what is -218 - 1547610? -1547828 In base 4, what is -2 - -30323102233? 30323102231 In base 11, what is 7606644 + 1? 7606645 In base 3, what is -1002020 + -11022111121? -11100120211 In base 3, what is 20102 - -21000000? 21020102 In base 7, what is 1200461 - 444? 1200014 In base 16, what is 4 + -4858bb? -4858b7 In base 7, what is -46553650 + -2? -46553652 In base 12, what is bb + 1582a7? 1583a6 In base 7, what is 2 - 135513002? -135513000 In base 15, what is 296 + -312ab? -31015 In base 11, what is 29a903 - 4? 29a8aa In base 3, what is -10022 + 12102001022? 12101221000 In base 5, what is 2413441342 + 202? 2413442044 In base 7, what is -5425 - 15601? -24326 In base 8, what is -24 + -4421777? -4422023 In base 8, what is 232611 - -13771? 246602 In base 15, what is -15b945 + a? -15b93a In base 8, what is 5 - -17064064? 17064071 In base 14, what is -2 + -6cdb75c? -6cdb760 In base 13, what is 1 - b6c36b? -b6c36a In base 3, what is -10 - 1120211110111000? -1120211110111010 In base 6, what is 3102030 + 111? 3102141 In base 2, what is 1000110100000000 + 110100001? 1000111010100001 In base 2, what is 1011000001100001 + -1010100000? 1010110111000001 In base 16, what is -150f135 + 0? -150f135 In base 12, what is -1558a - -476? -15114 In base 12, what is -5 - 3632120? -3632125 In base 12, what is -88 - 224a80? -224b48 In base 12, what is -998a2260 + 4? -998a2258 In base 4, what is 11222 + -220100331? -220023103 In base 13, what is 0 - 1471023b? -1471023b In base 6, what is 132241143 + 550? 132242133 In base 13, what is 150a6a9 + -27? 150a682 In base 5, what is 14440 + -121424? -101434 In base 11, what is 0 + 1705786? 1705786 In base 3, what is -1002120021212 + 1012? -1002120020200 In base 16, what is 597 - 276d? -21d6 In base 9, what is -2 + 155882750? 155882747 In base 3, what is 20100 - 111000222? -110210122 In base 6, what is 4 + 350222240? 350222244 In base 5, what is 22 + -13001201? -13001124 In base 15, what is -1 - 1c0b47? -1c0b48 In base 6, what is 4305042544 - -3? 4305042551 In base 3, what is 12112022212 - -1120001? 12120212220 In base 2, what is 10101111 + 1010110011000001? 1010110101110000 In base 11, what is 9a5813856 + 0? 9a5813856 In base
{ "pile_set_name": "DM Mathematics" }
t n be o(1). Let u be l(n). Suppose 2*f + u*f = -10. Let s(m) = m**2 + 6*m. Calculate s(f). -5 Let k(a) = a**2 + 4*a. Let x be (-4)/10 + (-51)/(-15). Suppose -20 + 5 = x*v - 3*h, 4*h + 4 = -4*v. Give k(v). -3 Let t(z) be the first derivative of 5 - 3 - 3*z**2 + 2*z**2. Give t(3). -6 Let f(j) = -j**2 - 2*j + 5. Let k be f(-4). Let i(d) = 2*d**2 + 2*d - 4. Calculate i(k). 8 Let n(y) = -1. Let q(a) = 2*a + 3. Let z(c) = 4*n(c) + q(c). Let x be (-2)/(-4)*(1 - 3*1). Calculate z(x). -3 Let s(b) = -6*b**2 + 5. Let k = -4 + 1. Let u(h) = 5*h**2 - 4. Let m(t) = k*s(t) - 4*u(t). Suppose 0 = 5*v + 10. Calculate m(v). -7 Let a = -5 - -7. Let g(t) = 11 + t**a - 6*t - 1 - 3. Let w(c) = -c**3 + 6*c**2 + 7*c + 5. Let m be w(7). Determine g(m). 2 Let x(t) = t**2 + t - 5. Let u be x(-4). Let p(r) = -2 + u - 1 - 3*r. Suppose -4*c + 9 = -c. Calculate p(c). -5 Let k(i) = -i. Let c(n) = n - 1. Let h(v) = c(v) + 2*k(v). What is h(1)? -2 Let l be -5 - -6 - (-4 - -1). Let d = l - 2. Let n(a) = -a**2 + 6*a + 4. Let h(w) = 5*w**2 - 25*w - 15. Let b(s) = d*h(s) + 9*n(s). Calculate b(-4). 6 Let z(l) = 6*l**3 - 2*l**2 + 2*l - 1. Suppose 2*i + 0 = -d + 6, -4*d + 16 = 4*i. Let v be 0 + 0 - (2 + -3). Let w = d - v. What is z(w)? 5 Let o(h) be the third derivative of -h**6/120 + h**5/10 - h**4/24 + 2*h**3/3 + 27*h**2. Determine o(6). -2 Let k(g) = -g**3 + 5*g**2 - 4*g - 1. Let l(u) be the third derivative of -u**6/120 - u**5/15 - u**2. Let c be l(-4). Suppose c = 2*b + 3*b - 20. Calculate k(b). -1 Let i be -2 + 7/(28/(-8)). Let l(w) = -w + 3. Give l(i). 7 Let b(x) be the second derivative of x**4/12 - x**3/2 + 3*x**2/2 + 18*x. Determine b(3). 3 Let g = -12 + 9. Let d(h) = h**2 + 3*h + 4. What is d(g)? 4 Suppose 3*f + 74 = 83. Let h(r) = r - 8. Let s(c) = -c + 1. Let y(b) = -h(b) - 6*s(b). Give y(f). 17 Suppose -3*z = 10 - 1. Let w(f) be the third derivative of f**6/720 - f**5/120 - f**4/8 - f**2. Let a(c) be the second derivative of w(c). Calculate a(z). -4 Let t(a) = 3*a - 2*a + 3*a. Calculate t(2). 8 Let z(d) be the third derivative of -d**5/60 + d**4/4 - d**3/6 + 4*d**2. Let i = -7 + 11. Give z(i). 7 Suppose 0 = -5*y + y + 4. Let c = 4 - y. Let x(t) = t**2 - 3*t + 1. Determine x(c). 1 Suppose 7 = 2*l - 5. Suppose -3*w + 5*w - l = 0. Let g(t) = -1 + t**w + 6*t - 9*t**2 - 2*t**3 + 0 + 12*t**2. Calculate g(4). 7 Let y(b) = b**2 - 7*b + 7. Let l(r) be the second derivative of r**4/12 + 2*r**3/3 - r. Let s be l(-5). Give y(s). -3 Let c(w) be the first derivative of -w**2 - w + 1. Suppose 2 + 0 = q. Suppose -5 = -q*v - 7. Calculate c(v). 1 Let m(d) = -6*d**3 - 2*d - 2 + 6*d**2 - 3*d**2 + 0*d + 4*d**3. Let v(j) = -j**3 + 2*j**2 - j - 2. Let o(k) = 2*m(k) - 3*v(k). Calculate o(-2). 12 Let y(b) be the third derivative of 0 + 0*b**3 - 3*b**2 + 0*b + 1/24*b**4. Calculate y(-5). -5 Let w(v) be the second derivative of -v**5/20 + 5*v**4/12 - 2*v**3/3 + 3*v**2 - 2*v. Give w(4). 6 Let w(t) be the first derivative of 2/3*t**3 - 1/2*t**2 + 2 + 0*t + 1/2*t**4. Calculate w(-2). -6 Let i(j) = 3*j**3 - j**2 - j. Let f(g) be the second derivative of g**4/12 + 5*g**3/6 - g**2/2 - 2*g. Let v be f(-5). What is i(v)? -3 Suppose -5*z = -n - 2 - 7, -4*n + 5*z - 6 = 0. Let p(i) = -i**3 + n + 4*i**3 - 4*i**3 - 5 + 3*i**2 + i. Determine p(3). -1 Let z(f) = 5*f**2 + 4 + 4*f + 4*f**3 + 2*f - 3*f**3. Let n(u) = -2*u. Let r be n(-14). Suppose 2*g = -5*g - r. Give z(g). -4 Let w(d) = -d**3 - 5*d**2 - 5*d - 3. Let i(c) = c + 5. Let t(s) = 2*s + 5. Let n(y) = 3*i(y) - 2*t(y). Let p be n(0). Suppose 1 = -2*a - p. What is w(a)? -6 Suppose -3*c - 2*c = 0. Suppose 0*u + 2*u - 4 = c. Suppose -3*h - 14 = u*q - 4*q, 4*q + 5*h + 16 = 0. Let v(f) = -8*f + 1. Calculate v(q). -7 Let y(w) = w**3 - 3*w**2 - 10*w + 1. Let m(p) = p**3 - 2*p**2 - 9*p. Let f(i) = 6*m(i) - 5*y(i). Determine f(-4). -5 Let n(b) = 6*b**3 + 2*b**2 + 7*b + 5. Let f be (-32)/10 - 7/(-35). Let h(c) = -3*c**3 - c**2 - 3*c - 2. Let j(o) = f*n(o) - 7*h(o). Calculate j(1). 3 Let j(q) = -5*q + 1. Let z(c) = c**3 + 11*c**2 - c - 10. Let p be z(-11). Determine j(p). -4 Let c(y) = -2*y + y + 1 + 4*y - 2*y. What is c(5)? 6 Suppose -7*a - 7*a = -9*a. Let h(t) be the second derivative of -t**4/12 + t**3/6 + 5*t**2/2 + t. Calculate h(a). 5 Let x(n) = -3*n - n - 6*n**2 + n - n**3 + 2*n**2 - 3. Give x(-4). 9 Suppose 4*y + 3 = 5*y. Suppose 0 = 2*b - 3*b + 3. Let t(p) = -b*p**2 + p + 4*p**2 - p**3 + 3*p**y. Calculate t(-1). -2 Let d(i) be the second derivative of -i**7/840 - i**6/90 + i**5/60 + 5*i**4/24 - i**3/3 - 3*i. Let y(r) be the second derivative of d(r). Give y(-4). -3 Let y(g) be the second derivative of g**5/20 - 23*g. Determine y(2). 8 Let a(n) = -2*n**2 + 1 + 7*n**2 - 3 + 0*n**2 - 4*n - n**3. Suppose -4 - 4 = -2*i. What is a(i)? -2 Let i(p) be the first derivative of -3*p**4/4 + p**3/3 - p**2/2 + p + 6. What is i(1)? -2 Let u(n) = 4*n**2 - 6*n - 5. Let x(h) = 5*h**2 - 7*h - 6. Let c(t) = 6*u(t) - 5*x(t). Let a(p) = -p**2 - 5*p - 1. Let v be a(-5). Determine c(v). 0 Suppose -2*i - 1 + 11 = 0. Suppose -4*m + 1 = -7. Let c(h) = -h + 2. Let t(f) = 2*f - 3. Let v(z) = i*c(z) + m*t(z). Determine v(3). 1 Suppose -2*z - 21 = -3*u + 6, -2*z + 6 = 0. Suppose -u*l = -5*l + 18. Let j(p) = p**3 + 3*p**2 + 4*p + 4. What is j(l)? -8 Let t(p) = p**3 - 4*p**2 - 3*p - 6. Let n(k) = 5*k + k**3 - 6*k**2 + 0*k**2 + 3 + 2. Suppose 0 = -o - 1, -18 = -4*z - 0*o - 2*o. Let w be n(z). Determine t(w). 4 Let t(u) = -u**3 - 6*u**2 + 2*u + 4. Let b be t(-6). Let w(g) = -g**3 - 9*g**2 - 8*g + 5. Determine w(b). 5 Let z(g) be the second derivative of -g**5/20 - g**4/2 + g**3/6 + 5*g**2/2 + g. Let d be (3 - 4) + -7 + 2. Give z(d). -1 Let s(h) = -h + 1. Let b be s(4). Let q(y) be the second derivative of -y**5/20 - y**4/6 + 2*y**3/3 + 3*y**2/2 + 3*y. Calculate q(b). 0 Let b(j) = -j**2 - j + 4. Suppose -3*u - 2*u = 4*o + 24, -u = -o - 6. Let c be 12/20 + o/10. Determine b(c). 4 Suppose -9 + 7 = w. Let t(h) be the third derivative of -h**6/144 + h**5/120 + h**4/24 + 2*h**2. Let u(f) be the second derivative of t(f). Give u(w). 11 Let r(t) be the first derivative of -1/3*t**3 + 5/2*t**2 - 3*t - 2. Give r(3). 3 Let s(p) = -8*p**2 - 1. Suppose 0 = 2*q - 3*h - 5, 3*q - h = 2*q + 5. Let g = q - 9. What is s(g)? -9 Let r(o) = -o**3 - 7*o**2 - 5*o + 4. Let c be (-12)/(-2)*(5 - 6). What is r(c)? -2 Let f(i) be the second derivative of -i**6/180 + i**5/30 + i**4/24 - i**3/6 + 2*i. Let u(h) be the second derivative of f(h). Determine u(3). -5 Let k be -3*((-4)/(-12) + -1). Let i = 11 + -9. Let c(m) = 5 - i + m - 1. What is c(k)? 4 Suppose 26 = 4*b + 2*w, 4*b + 0*w + 3*w - 29 = 0. Let y = b + 0. Suppose 4*t + 3*m + 2*m = -25, -3*t = -y*m - 25. Let c(j) = j**3 + j**2. What is c(t)? 0 Let h(w) = -w**3 - 6*w**2 - 8*w - 7. Suppose 4*c + 0*c = 0. Let b = -5 - c. What is h(b)? 8 Let h = -18 - -10. Let i = 3 + h. Let v(w) = w**3 + 6*w**2 + 6*w + 7. What is v(i)? 2 Let n be (-8)/(-6)*(-12)/8. Let t(o) be the third derivative of 0*o - 1/12*o**4 + 0*o**3 - 1/30*o**5 + 3*o**2 + 0 - 1/120*o**6. Give t(n). 4 Suppose g - 6*g - 5 = 0. Let m(q) = q + 0 + 1 + 4*q**2 + 4*q**2 - 6*q**2. Determine m(g). 2 Let y = 206 + -213. Let q(k) = k**2 + 10*k + 10. Give q(y). -11 Let c(x) be the third derivative of -x**6/360 - x**5/20 + x**4/12 - 8*x**2. Let t(q) be the second derivative of c(q). Give t(-4). 2 Let x(k) be the third derivative of -k**6/360 + k**5/40 - k**4/24 - k**3/6 - 2*k**2. Let a(j) be the first derivative of x(j). What is a(2)? 1 Let l be (0 - 0) + 2/2. Let o be (l/(-1)*0)/(-2). Let q(t) = -t**3 - t**2 + 10. Determine q(o). 10 Suppose l + 4*l - 25 = 0. Suppose -l*k + 4*n - 35 = 0, -4*n = n - 25. Let y(i) = 2*i**2 + 1 - 7 - 3*i**2 - i + 8. Determine y(k). -4 Let a(p) = -p**3 - 8*p**2 + p + 10. Let r be a(-8). Let h(k) = k**3 - 1 - 2 + 0*k**2 - k**r + 4. Give h(1). 1 Suppose -5*n = b - 43 - 41, 0 = n + 4*b - 32. Let l be n/72 + (-68)/(-18). Suppose -l*m + 7*m + 15 = 0. Let q(u) = 2*u + 6. Give q(m). -4 Let p(q) = -q**2 - 4*q + 2*q**2 + 0*q**2. Let u = 4 - 4. Suppose -3*i - 9 = 0, u = f + 6*i - 5*i. What is p(f)? -3 Let x = 9 - 4. Let d = x - 3. Let j(o) = -o**2 + 2*o. Determine j(d). 0 Let v(y) be the first derivative of y**3/3 - 5*y**2/2 + 2*y + 3. Let l(o) = -o**2 + 5*o + 8. Let f be l(6). Calculate v(f). -4
{ "pile_set_name": "DM Mathematics" }
ermine b(2). 317 Let v(z) = -1306*z + 50799. What is v(39)? -135 Let p(r) = 7*r**2 - 1505*r + 80133. Give p(118). 11 Let n(f) = 9567*f - 24257. What is n(3)? 4444 Let l(r) = 5*r**3 - 7*r**2 - 10*r + 42. Calculate l(3). 84 Let t(v) = 1018*v + 141493. Determine t(-139). -9 Let j(p) = -115*p + 3134. Give j(26). 144 Let a(m) = m**3 + 167*m**2 - 1540*m - 230494. What is a(-168)? 2 Let u(k) = 11996*k - 36982. Calculate u(3). -994 Let j(l) = 22*l**3 + 3414*l**2 + 619*l + 185. Calculate j(-155). 340 Let r(y) = -61*y**2 + 209*y + 689. Calculate r(-2). 27 Let z(p) = p**3 + 133*p**2 + 1626*p + 7894. What is z(-120)? -26 Let t(r) = 2746*r + 5980. Calculate t(-2). 488 Let i(z) = 2*z**3 + 28*z**2 + 434*z + 6121. Give i(-14). 45 Let s(l) = 25500*l - 1632049. Give s(64). -49 Let n(u) = -499*u + 36479. Calculate n(73). 52 Let o(g) = g**2 - 8581*g - 146028. Determine o(-17). 138 Let n(i) = -i**3 + 11*i**2 + 1137*i - 8164. Determine n(7). -9 Let u(x) = 4790*x + 177375. Calculate u(-37). 145 Let c(n) = 10*n**2 + 11*n - 1084. Calculate c(-11). 5 Let j(a) = -a**3 - 257*a**2 + 157*a + 40348. Calculate j(-257). -1 Let a(z) = -3*z**3 + 742*z**2 - 255*z - 1285. What is a(247)? -3261 Let x(l) = l**3 - 95*l**2 + 2674*l - 105160. Calculate x(78). -16 Let y(q) = q**3 + 34*q**2 - 41*q + 621. Determine y(-31). 4775 Let m(n) = 2*n**3 - 2*n**2 - 34*n - 168. Give m(-9). -1482 Let p(u) = 8*u**3 + 106*u**2 - 128*u - 653. Determine p(-14). -37 Let m(c) = -579*c + 2482. Give m(7). -1571 Let i(x) = 4*x**2 - 4542*x + 266216. What is i(62)? -12 Let c(d) = -3941*d - 40825. Give c(-11). 2526 Let g(c) = -10833*c + 123358. Calculate g(11). 4195 Let r(b) = -b**2 + 625*b - 19541. Determine r(33). -5 Let w(h) = -105*h - 11190. Calculate w(-106). -60 Let c(b) = -64*b + 2033. Determine c(42). -655 Let o(l) = -l**3 - 15*l**2 + 305*l - 1645. Give o(-28). 7 Let y(n) = 5*n**2 + 4737*n + 56128. Determine y(-12). 4 Let q(f) = f**3 - 6*f**2 - 972*f - 6171. What is q(-7)? -4 Let g(d) = d**3 + 8*d**2 - 124*d - 761. Give g(-11). 240 Let s(n) = n**3 + 323*n**2 - 127*n - 45088. Give s(-323). -4067 Let h(p) = -37927*p - 113892. Determine h(-3). -111 Let o(i) = 18249*i + 2573143. What is o(-141)? 34 Let u(j) = -100117*j + 4004751. Give u(40). 71 Let x(i) = -i**3 + 10*i**2 + 289*i + 26. Determine x(23). -204 Let z(y) = -49*y**2 + 3834*y + 100693. What is z(99)? 10 Let h(j) = 144*j + 2200. Calculate h(-15). 40 Let y(d) = 3*d**2 + 569*d + 26377. Give y(-81). -29 Let o(s) = s**3 - 62*s**2 - 1053*s + 12217. Determine o(74). 7 Let x(y) = -9*y**3 + 580*y**2 - 1365*y - 1. Calculate x(62). -63 Let w(i) = -66683*i + 200019. What is w(3)? -30 Let n(z) = z**3 - 122*z - 31910. Give n(33). 1 Let z(c) = c**3 + 64*c**2 - 565*c + 148. Give z(-72). -644 Let v(t) = 2508*t + 30176. What is v(-12)? 80 Let y(c) = c**3 - 39*c**2 + 181*c - 3902. Give y(37). 57 Let h(j) = 15*j**2 + 8439*j - 16876. Determine h(2). 62 Let x(v) = -317*v**2 - 10468*v - 48. Determine x(-33). 183 Let m(k) = 2*k**2 - 1869*k + 9305. What is m(5)? 10 Let p(x) = 9950*x**2 - 69699*x + 337. What is p(7)? -6 Let v(a) = 1088*a**2 + 322051*a + 914. What is v(-296)? 26 Let h(n) = -2*n**3 + 35*n**2 + 5*n + 128. Calculate h(18). -106 Let l(c) = 8*c**2 + 22*c - 1637. Give l(-15). -167 Let f(g) = 489278*g + 3914226. Determine f(-8). 2 Let z(a) = -490*a - 19872. Determine z(-46). 2668 Let t(g) = 24*g**2 + 548*g + 78. Determine t(-23). 170 Let x(v) = -v**2 - 906*v - 4509. Calculate x(-5). -4 Let u(n) = 2196*n + 143034. Give u(-65). 294 Let o(j) = j**2 + 3261*j + 22805. Determine o(-7). 27 Let p(a) = a**3 - 37*a**2 - 25*a - 904. What is p(38)? -410 Let f(n) = -4*n**2 - 221*n - 2936. Calculate f(-48). -1544 Let n(t) = -2*t**2 + 330*t - 4924. Give n(16). -156 Let j(g) = 8903*g + 106843. Give j(-12). 7 Let y(u) = 360*u + 179667. What is y(-499)? 27 Let x(f) = -1159*f + 15021. Calculate x(13). -46 Let m(t) = -10363*t - 507767. What is m(-49)? 20 Let b(q) = 16481*q + 1499812. What is b(-91)? 41 Let f(k) = -21833*k + 523995. Calculate f(24). 3 Let a(q) = -3310*q + 132396. Determine a(40). -4 Let d(q) = 326*q**2 + 9769*q - 310. Give d(-30). 20 Let v(h) = -h**2 - 15551*h + 451822. Calculate v(29). 2 Let z(v) = 1694*v + 21252. What is z(-12)? 924 Let r(t) = t**2 - 3434*t - 107401. Calculate r(-31). 14 Let h(y) = -y**2 - 52129*y + 3079105. Give h(59). 13 Let r(a) = 12*a**3 - 5*a**2 - 997*a + 3972. Give r(4). 672 Let r(m) = 3*m**2 + 4*m - 2097. Calculate r(-38). 2083 Let p(i) = 3659*i - 600669. Determine p(164). -593 Let g(f) = f**3 - 13*f**2 + 140*f - 1810. Give g(13). 10 Let z(x) = 362*x**2 + 1836*x - 15. Give z(-5). -145 Let p(m) = -m**3 + 7*m**2 + 42*m - 286. Calculate p(5). -26 Let j(n) = 10936*n + 710815. Determine j(-65). -25 Let j(p) = -7*p**2 - 760*p - 3528. Determine j(-104). -200 Let z(g) = 14*g**2 - 5481*g + 8218. Determine z(390). 28 Let y(a) = 1076*a + 6392. Calculate y(-6). -64 Let t(y) = -2*y**3 + 116*y**2 + 1249*y - 53864. Determine t(61). -1 Let c(s) = 2*s**3 + 21*s**2 - 1775*s + 2208. Give c(-36). 12 Let c(b) = 509*b + 3772. What is c(-8)? -300 Let o(u) = 8*u**2 + 1327*u - 429. What is o(-165)? -1584 Let t(x) = -x**2 - 451*x + 45515. Give t(85). -45 Let l(r) = -10*r**2 - 38*r + 372. Give l(8). -572 Let k(b) = -23*b**2 + 35*b + 17. Calculate k(0). 17 Let w(n) = -436*n**2 + 27448*n + 1307. Determine w(63). 47 Let t(l) = 6094*l - 5161637. What is t(847)? -19 Let s(p) = -755474*p - 3777372. Give s(-5). -2 Let c(k) = 93*k**3 + 283*k**2 + 13*k + 49. Determine c(-3). 46 Let s(h) = -3*h**2 + 744*h - 5666. Determine s(240). 94 Let p(z) = -10133*z + 334487. Give p(33). 98 Let x(c) = -c**3 - 1523*c**2 + 13887*c + 151681. What is x(-1532)? 13 Let j(q) = 8*q**3 + 979*q**2 - 1755*q - 17733. Determine j(-124). -1 Let t(s) = -45*s**2 + 526*s - 1562. Determine t(6). -26 Let u(m) = -m**2 - 6352*m + 770096. Calculate u(119). 47 Let x(p) = -3983*p + 4349442. Give x(1092). 6 Let a(m) = 2*m**3 + 486*m**2 - 233*m + 62217. Determine a(-244). -3 Let c(v) = -4038*v + 56501. Give c(14). -31 Let q(u) = 6*u**2 + 872*u - 13841. Calculate q(-160). 239 Let k(l) = l**3 - 198*l**2 + 1398*l - 47255. Determine k(192). -23 Let g(i) = -6*i**2 + 138*i - 1638. Calculate g(9). -882 Let o(i) = -5*i**3 + 37*i**2 + 1119*i - 334. Calculate o(19). -11 Let r(d) = 67*d**3 + 2*d**2 + 10*d + 12. Give r(-3). -1809 Let s(v) = 4*v**3 - 217*v**2 + 1331*v - 68952. Calculate s(54). 6 Let c(a) = -1151364*a - 6908191. Calculate c(-6). -7 Let r(u) = u**3 - 25*u**2 - 106*u + 89. What is r(23)? -3407 Let q(k) = 12*k**3 + 85*k**2 - 1100*k - 7716. What is q(-7)? 33 Let g(p) = -271*p - 15286. Determine g(-66). 2600 Let f(c) = 6*c**2 + 119*c - 1349. What is f(9)? 208 Let v(k) = -165*k**2 - 25*k - 2612. Give v(0). -2612 Let k(d) = -6*d**2 - 6879*d - 360224. Give k(-55). -29 Let q(k) = 279*k**3 + 3346*k**2 + 50*k + 890. Give q(-12). 2 Let p(a) = -26706*a - 267105. Give p(-10). -45 Let d(p) = -p**2 - 6335*p - 233081. What is d(-37)? -55 Let t(g) = -g**3 - 131*g**2 - 374*g + 298. What is t(-128)? -982 Let y(d) = 56287*d + 7092171. What is y(-126)? 9 Let f(d) = -104*d**3 - 636*d**2 - 55*d + 95. Determine f(-6). -7 Let i(o) = o**3 + 58*o**2 + 49*o - 738. What is i(-57)? -282 Let c(g) = -2413*g + 101797. What is c(42)? 451 Let o(x) = 8*x**3 + 330*x**2 + 1326*x + 1. What is o(-4)? -535 Let m(n) = -n**2 - 167*n + 2164. What is m(12)? 16 Let q(h) = -316517*h - 3165174. What is q(-10)? -4 Let m(z) = z**3 + 33*z**2 - z - 1042. What is m(-32)? 14 Let a(f) = -8654*f + 6871398. Calculate a(794). 122 Let k(s) = 2*s**3 - 5*s**2 - 1265*s - 7928. Calculate k(-7). -4 Let z(g) = 1048*g**2 + 5235*g - 21. What is z(-5)? 4 Let a(b) = b**2 + 507*b + 28751. Calculate a(-65). 21 Let q(n) = 480*n**2 - 12474*n - 159. Determine q(26). -3 Let l(j) = -8185*j + 24545. Give l(3). -10 Let i(b) = -26659*b - 639823. Give i(-24). -7 Let g(d) = 26635*d + 2583586. Determine g(-97). -9 Let d(f) = -2*f**3 + 40*f**2 + 318*f - 5036. Give d(22). 24 Let o(t) = -10*t**3 + 1324*t**2 - 3859*t - 68. Give o(3). 1 Let p(v) = -642*v + 935. What is p(1)? 293 Let h(b) = b**3 + 11*b**2 - 1818*b - 20047. Calculate h(-11). -49 Let t(y) = y**3 - 42*y**2 + 514*y - 1544. What is t(16)? 24 Let f(a) = -5682588*a - 45460705. Calculate f(-8). -1 Let z(n) = 96482*n + 192869. What is z(-
{ "pile_set_name": "DM Mathematics" }
= 4*x + 9*f - 72, f - 78 = -5*x. Suppose -x*r + 7*r + 16 = 0. What is the nearest to 0 in -0.15, r, -5? -0.15 Let y = 14/687 - -215/687. Which is the closest to -3/2? (a) y (b) -0.5 (c) -0.3 b Let t be (-14)/(-12)*(-54)/189. Let x = 0.7 - 0.6. Which is the nearest to t? (a) -0.1 (b) -1.3 (c) x a Let f = -2.328 - -2.45. Let z = -0.322 + f. Let u be 1/(-2)*(-2 - -2). Which is the closest to u? (a) -1/2 (b) -1 (c) z c Let c be (-18)/(-6)*(12 - 13). Let m be (-2)/(-8) - 0/1. What is the closest to m in c, -5/2, 0.3? 0.3 Let h be 1/3 - -271*5/(-15). Let f be ((-36)/h)/(11/(-5)). Which is the closest to 53? (a) 3/4 (b) f (c) -1 a Let c = -0.07 + 0.1. Suppose 22*z - 12 + 78 = 0. What is the closest to z in c, -4, 2? -4 Let y = 6 - 3. Let t = -0.033 + -0.026. Let v = t - -0.159. What is the nearest to 3/4 in y, -0.3, v? v Let d = 5.3 + -1.87. Let t = -0.43 + d. Let w be (2/2)/((-1)/1). What is the closest to -1/3 in 2/9, w, t? 2/9 Suppose 3*i - f + 261 = 0, -i - 2*i = 2*f + 270. Let z = 351/4 + i. Which is the closest to 2/13? (a) -4/5 (b) -0.3 (c) z c Let h = 1.8 - 4. Let j = -2.789 - 0.211. What is the nearest to -1 in h, j, -6? h Let q be 2/(-3) - (-2)/3. Let p = -1341278/505 + 2656. Let y = 1016/1515 - p. What is the nearest to y in q, -4, -0.2? q Let r = -1028 - -1028.8. Let q = -182.06 - -182. What is the closest to 1/3 in r, q, 3? q Let v(n) = -7*n**3 + 46*n**2 + 98*n + 6. Let o be v(-2). What is the closest to 2 in 0.1, -12, 4, o? 0.1 Let t = 3861 + -3859. What is the nearest to -0.2 in 3, t, -8? t Let i = -0.1 - -0.6. Let p = 344992 - 344993. Which is the nearest to p? (a) 2/9 (b) -0.03 (c) 2 (d) i b Let w = 1507/5 - 6023/20. What is the closest to 2 in 97, 2/9, 0, w? w Let d = -54.1 + 35.1. Let k = -2.9 - -24.9. Let t = k + d. What is the closest to 1 in 2, -3/2, t? 2 Let w = -6 - -6.08. Let s = -5496 - -5494. What is the closest to -1/3 in 3, s, w? w Let m = -0.1142 + 0.6142. Which is the closest to -0.1? (a) 1/38 (b) 0 (c) m (d) -2/9 b Let r = 36 - 116. Let n = 78.9 + r. Which is the closest to n? (a) 5/4 (b) -0.4 (c) 0.2 b Let z be 1/(-2)*54*(-116)/(-1305). Which is the nearest to z? (a) -1 (b) 0.3 (c) -0.09 a Let n = -17.7 + 16.7. Let b = 77 - 386/5. Suppose t + 0 = 5. What is the closest to -0.3 in n, t, b? b Suppose 2013*u - 2010*u - 4*z = 41, -2*u - 2*z - 10 = 0. Let x = 2 - 0. What is the nearest to u in x, 0.3, -3? x Suppose -2648 + 2603 = 5*f. Let h be f/(-6) - (-209)/(-38). Let o = -0.4 + 0.3. Which is the nearest to o? (a) -0.4 (b) 0.3 (c) h a Let g be ((-12)/3 + 3)*5. Let m be g + 1 - -2*40/28. Let q be (-8)/(-4) - (0 - -1). Which is the closest to m? (a) 3 (b) q (c) -2 c Let i = 212353/7 + -30336. Which is the closest to 0.1? (a) -7 (b) 8 (c) -24 (d) i d Let u be (-56)/42*(11/(-24)*3 + 1). Let a = 3 + -3. What is the nearest to a in -2/15, u, 2? -2/15 Let m = 1112.98 - 1114. Which is the nearest to 1? (a) 1 (b) m (c) -2/7 a Let x(t) = -69*t + 1591. Let w be x(23). Which is the closest to -6? (a) w (b) -2/7 (c) 2/111 b Let i = -1260 + 1254.37. Let q = i + 5.73. What is the nearest to -1 in -0.1, 15, q? -0.1 Let k = 2 - 7. Let w = -29.2 - -27. Let l = w + 2. Which is the nearest to l? (a) -1 (b) k (c) 5 a Let l(v) = v**3 - 9*v**2 + 15*v - 2. Let y be l(7). Suppose 11*o - 50 = y. Which is the closest to 0? (a) 0 (b) 4 (c) o a Let y = -23.65 - -23.55. What is the closest to y in 68, -1/8, -3, 1? -1/8 Suppose 0 = 5*j - g, 0 = 2*j - 2*g - 2*g. Let b = -0.223 - -0.3102. Let i = b - 0.4872. What is the closest to j in i, -1, -3/5? i Let x = -18.292 + 0.092. Let j = x - -18.3. Which is the closest to 1? (a) 4 (b) j (c) -0.4 b Let q = -1.04 + 1.03. Let p = -4.211 - -4.511. What is the closest to 2/3 in p, -3, 1, q? 1 Let x = 17.41 + -8.41. What is the nearest to -1 in x, -28, -4? -4 Let m = 2044 + -2043. Suppose t - 2*h - 2 = 0, 2*t - 2*h + 1 - 7 = 0. Let s = -3.6 - -0.6. Which is the closest to m? (a) t (b) -5 (c) s a Let t = -0.348 - 0.032. Let k = -17.08 - t. Let n = k + 16. What is the closest to n in 1, 0.02, 0? 0 Let d be 66/17 + (-1 - (-3 + 6)). Let q = 30 + -21. Suppose -5*k - q = -2*k - 4*v, -k + 5*v = 14. Which is the closest to 3? (a) -0.5 (b) d (c) k c Let l = -687 - -687.3. Let p = -1.1 + 5.1. Let h = p + -2. What is the nearest to -1/3 in h, 0.5, l? l Let o = 0 - 38. Let p = 0.9 - -34.1. Let r = p + o. Which is the closest to 0.1? (a) r (b) 0.2 (c) 0.5 b Let u = 114 + -227/2. Let o = -294 - -294. Which is the closest to -13? (a) 3 (b) o (c) u b Let l = -38563/4 + 9641. What is the closest to 0.6 in -0.1, 0.1, 4, l? l Suppose -632*l - 5695 = -699*l. Which is the nearest to -2/7? (a) 2 (b) l (c) -2/7 c Let y = -1.163 - -293.663. Let w = y + -292. Suppose q - 2*q - 6 = -4*v, 7 = -q + 5*v. Which is the closest to -0.3? (a) q (b) 5 (c) w c Let o = -5218 + 26092/5. What is the closest to 0 in 24, -1, o, 1/11? 1/11 Let f = -1/31 + -88/155. Let o = -1401 - -1322.9. Let z = o + 77. Which is the closest to z? (a) 0.2 (b) 0.1 (c) f c Let i = 20024/17 - 1178. What is the closest to i in 0.26, -2/5, 0.4? -2/5 Let b = -104458 + 104457. Let h = 0.05 - -0.07. What is the closest to h in -1/3, 0.4, b? 0.4 Let q = 1486 - 1481. Let r = -2.9 + 2.93. What is the nearest to -0.1 in r, q, -0.1? -0.1 Let m = 352 - 270. Let x = -84.02 + 0.02. Let t = x + m. What is the closest to -1 in t, -5, 5? t Let z(o) = 515*o - 4641. Let t be z(9). Which is the closest to -7? (a) t (b) 3 (c) 3/4 (d) 1 a Let o = 284 - 254.9. Let z = o - 26.1. What is the closest to -0.2 in -0.3, 4/7, z? -0.3 Let d = 70 + -70.2. Let n(o) = o**2 + 7*o + 1. Let w be n(-7). Let i = 6 - w. What is the closest to d in 1, -1, i? -1 Let c = 0.2149 - 0.0149. Let u = -0.213 - 5.787. What is the closest to -1/3 in c, u, -1/4? -1/4 Let t = 3 - 2.8. Let o = -592.6 + 583.6. Suppose 6 = -2*s + 2. What is the nearest to s in t, o, 2/5? t Let d = 0.0684 + -397.0684. Let f = 394 + d. Which is the closest to -1? (a) f (b) -0.3 (c) -13 b Suppose 25 = 5*a, 2*z + 2*a + 4 = 22. Let v = -43 - -44. Let j = 0.13 + -0.03. What is the nearest to j in z, v, 3? v Let m = -13543/4 + 3386. Let k = 1.48 - 1.18. Which is the closest to 3? (a) 3 (b) 4/7 (c) m (d) k a Let p = 2/35 + -41/105. Let f be 40/(-100) + (-12)/20. What is the closest to p in f, 2, 1? f Suppose 2*k - k = 3*t + 197, -4*t + 947 = 5*k. Let u = 190 - k. Which is the closest to u? (a) -6 (b) 3 (c) 2/3 c Let h be (1 - 10)/(-9) - (-1 - 5). Suppose h*n - 95 = 26*n. Let d = 0.04 - -1.96. What is the closest to 1 in d, n, 1/3? 1/3 Suppose t + 2*t = -6. Let y be -1 - (-1 - (-1)/3). Let r be 10/(-20)*(-48)/228. What is the nearest to y in r, t, -1/4? -1/4 Let y(n) = -7*n + 62. Let i be y(10). Let u be -1 - -1 - (-7 - 1). Let x = u + i. What is the nearest to x in -2, 2/13, 1/9? 1/9 Let h = 50 - 128. Let r = 75.7 + h. Let q = 51 - 51. What is the closest to q in -3, -2/5, r? -2/5 Let y = 211.23 - 35.23. What is the closest to 1 in y, 0.5, -5? 0.5 Let q = 12482 - 12479. Let z be 2/(-10)*25/(-15). What is the nearest to 26 in q, 0.2, z? q Let p = 0.82 + -3.82. Let n = -1.508 - 0.492. Which is the nearest to 2/3? (a) p (b) 0.5 (c) n b Let m be (-244)/10*(9/2 - 1). Suppose -105 + 530 = -5*z - 3*i, -4*z + 3*i - 340 = 0. Let u = z - m. What is the closest to 0 in 0.5, u, -3/2? u Let f = 2344 - 2344.2. What is the nearest to -1/2 in f, 1/7, -0.04? f Suppose -4*v + 19*v = 0. Let t be (3 + 16/(-5))*3. What is the nearest to v in t, -1, 5? t Let q(d) = -d**2 - 61*d - 928. Let r be q(-31). Which is the closest to r? (a) 0.4 (b) 10 (c) 9 a Let g = -463.01 - -463. What is the closest to g in -0.32, -2, -1? -0.32 Let d = -28836/158719 + -2/14429. What is the nearest to -2 in -36, d, 0.3, -1? -1 Let o = -3898 + 479449/123. Let j = 139/615 - o. Let t = -21/2 - -109/10. Which is the closest to 1? (a) j (b) t (c) -5 b Let r = -0.3 - -0.4. Let l(h) = -h**3 + 17*h**2 - 82*h + 101. Let y be l(9). Which is the nearest to r? (a) y (b) 5 (c) 2/19 c Let u = 89 - 89. Suppose -2*q - 2*s = -26, 9 = 4*q - 3*q + 2*s. Suppose q*d + 70 = 3*d. What is the nearest to u in -1, 0.8, d? 0.8 Let d = -2815 + 2815.1. Which is the closest to -31? (a) -0.2 (b) d (c) -2/13 a Let q = 395
{ "pile_set_name": "DM Mathematics" }
ment from llqqqqqqqqqq? 1/11 Two letters picked without replacement from {p: 7, m: 1, o: 10}. What is prob of picking 2 o? 5/17 Three letters picked without replacement from qqbbbbbbbqeeqqb. Give prob of picking 2 q and 1 b. 16/91 Two letters picked without replacement from eeareaeaeeara. Give prob of picking 1 e and 1 a. 5/13 Calculate prob of picking 3 c when three letters picked without replacement from icccicccicccicccci. 143/408 What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 3, k: 3, e: 5}? 3/11 Calculate prob of picking 2 l and 1 u when three letters picked without replacement from uleuiuuuheiumlelel. 3/68 Two letters picked without replacement from hbnuabx. Give prob of picking 1 u and 1 n. 1/21 What is prob of picking 1 n and 1 x when two letters picked without replacement from {r: 3, n: 3, p: 1, u: 1, g: 2, x: 2}? 1/11 What is prob of picking 2 p when two letters picked without replacement from {r: 2, p: 7, y: 1, n: 4}? 3/13 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from qqppqpq. 4/7 What is prob of picking 2 f when two letters picked without replacement from vzfvvvvvvvvfffzf? 1/12 Two letters picked without replacement from eejoejeejo. Give prob of picking 2 o. 1/45 Calculate prob of picking 2 c when two letters picked without replacement from {r: 1, c: 7}. 3/4 Four letters picked without replacement from bbhbs. Give prob of picking 2 b, 1 h, and 1 s. 3/5 Four letters picked without replacement from bubbmuuubmuuuu. Give prob of picking 2 m and 2 b. 6/1001 Four letters picked without replacement from {m: 9, x: 2, k: 8}. Give prob of picking 3 m and 1 k. 56/323 Three letters picked without replacement from eeueuuuuuu. What is prob of picking 3 u? 7/24 Calculate prob of picking 1 t and 1 v when two letters picked without replacement from qqtvqstqtql. 3/55 Calculate prob of picking 1 f and 2 e when three letters picked without replacement from efhhpefpfeef. 6/55 What is prob of picking 1 u and 2 b when three letters picked without replacement from {u: 2, b: 8}? 7/15 Four letters picked without replacement from {f: 2, a: 1, v: 5, h: 11}. What is prob of picking 2 f, 1 a, and 1 h? 11/3876 Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 3, f: 1, b: 11}. 1/35 Calculate prob of picking 4 w when four letters picked without replacement from {w: 7}. 1 Four letters picked without replacement from isiiississiii. Give prob of picking 1 i and 3 s. 16/143 Three letters picked without replacement from ghgrhuzl. Give prob of picking 1 u, 1 z, and 1 h. 1/28 Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {j: 2, f: 8, h: 2}. 8/33 Three letters picked without replacement from {k: 4, e: 4, u: 6, d: 2, s: 1, b: 3}. What is prob of picking 2 s and 1 k? 0 Four letters picked without replacement from fdfffd. What is prob of picking 4 f? 1/15 Two letters picked without replacement from vxvvvx. Give prob of picking 2 v. 2/5 Calculate prob of picking 1 c, 2 e, and 1 n when four letters picked without replacement from vvcvlrevecreren. 4/455 Three letters picked without replacement from {l: 1, z: 3, d: 10, h: 1}. Give prob of picking 1 d, 1 l, and 1 z. 6/91 Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 7, a: 2, w: 1, u: 5, y: 1}. 7/120 Two letters picked without replacement from {r: 2, q: 8, t: 5}. What is prob of picking 1 r and 1 q? 16/105 What is prob of picking 3 d when three letters picked without replacement from zddzzzd? 1/35 Calculate prob of picking 2 c when two letters picked without replacement from {k: 3, e: 1, c: 7, v: 1}. 7/22 Two letters picked without replacement from mvmmmvmv. Give prob of picking 1 m and 1 v. 15/28 Two letters picked without replacement from auwawdauaaawdau. What is prob of picking 1 d and 1 u? 2/35 What is prob of picking 1 a, 1 q, and 1 j when three letters picked without replacement from qjqujaqqq? 5/42 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {h: 1, g: 1, s: 1}. 1/3 Calculate prob of picking 4 p when four letters picked without replacement from {p: 3, z: 5}. 0 What is prob of picking 2 m when two letters picked without replacement from zzmmmmz? 2/7 Three letters picked without replacement from {j: 2, p: 1, k: 1, h: 2, g: 1, d: 1}. What is prob of picking 1 k, 1 p, and 1 g? 1/56 Two letters picked without replacement from {m: 1, t: 3, y: 1, b: 4, w: 1, u: 2}. What is prob of picking 1 w and 1 u? 1/33 Two letters picked without replacement from aaaddafaadadaf. What is prob of picking 2 d? 6/91 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 1, n: 9, z: 2, c: 8}. 4/95 What is prob of picking 1 c and 1 y when two letters picked without replacement from wfyrcmmc? 1/14 Four letters picked without replacement from {m: 2, w: 11}. What is prob of picking 2 w and 2 m? 1/13 Four letters picked without replacement from {o: 2, g: 7, d: 5}. Give prob of picking 2 d and 2 g. 30/143 Two letters picked without replacement from {b: 1, x: 2, j: 2, k: 8}. Give prob of picking 2 x. 1/78 Calculate prob of picking 4 k when four letters picked without replacement from {k: 13, f: 3}. 11/28 Four letters picked without replacement from cfccfccccccccccfcc. What is prob of picking 4 f? 0 Two letters picked without replacement from ggffajfjqf. Give prob of picking 1 j and 1 g. 4/45 Two letters picked without replacement from tiiiiliioilio. What is prob of picking 1 o and 1 i? 8/39 Four letters picked without replacement from lkpeelkukklxueulppup. Give prob of picking 2 k, 1 e, and 1 l. 24/1615 What is prob of picking 2 g when two letters picked without replacement from {a: 1, y: 5, g: 3, h: 5, j: 4}? 1/51 Three letters picked without replacement from {w: 3, l: 6, k: 4, g: 2, p: 2}. Give prob of picking 1 g, 1 w, and 1 l. 9/170 Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiiiiwiiiiiiii. 7/9 Calculate prob of picking 2 z when two letters picked without replacement from zzzzzpzdzzzpzpz. 11/21 Four letters picked without replacement from {u: 14, l: 1}. What is prob of picking 3 u and 1 l? 4/15 Calculate prob of picking 1 r and 2 s when three letters picked without replacement from bbsssrrsb. 1/7 What is prob of picking 1 o and 2 x when three letters picked without replacement from xsssxodssxsxssosxdds? 1/57 What is prob of picking 1 g, 1 h, and 1 s when three letters picked without replacement from hsgsh? 2/5 Calculate prob of picking 3 p when three letters picked without replacement from {j: 1, a: 3, p: 12}. 11/28 What is prob of picking 1 x and 1 g when two letters picked without replacement from {e: 7, g: 1, s: 1, q: 4, x: 2, p: 2}? 1/68 Calculate prob of picking 3 m when three letters picked without replacement from sdwsmdssgmgmmsgwss. 1/204 Calculate prob of picking 2 q when two letters picked without replacement from nqnqfuquffufufuhuf. 1/51 Two letters picked without replacement from ukjhbuj. Give prob of picking 1 h and 1 j. 2/21 What is prob of picking 3 s when three letters picked without replacement from {z: 2, d: 4, t: 1, s: 12}? 220/969 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from unegcnc. 2/21 Calculate prob of picking 1 c, 1 e, and 1 l when three letters picked without replacement from {e: 2, n: 1, o: 1, l: 1, b: 1, c: 2}. 1/14 What is prob of picking 2 u when two letters picked without replacement from {c: 1, i: 5, u: 5}? 2/11 Two letters picked without replacement from {y: 3, j: 2, b: 1, e: 1, d: 3, o: 5}. Give prob of picking 1 j and 1 e. 2/105 What is prob of picking 1 w and 1 g when two letters picked without replacement from {i: 4, y: 2, g: 1, w: 2, r: 1}? 2/45 Two letters picked without replacement from rdpplldrpdrdppor. Give prob of picking 2 p. 1/12 What is prob of picking 2 o when two letters picked without replacement from {o: 9, v: 5}? 36/91 Two letters picked without replacement from {l: 2, j: 2, h: 8}. Give prob of picking 1 h and 1 j. 8/33 Calculate prob of picking 1 t, 1 b, and 1 c when three letters picked without replacement from bbbcbctttnnb. 3/22 T
{ "pile_set_name": "DM Mathematics" }
-1 - -12) + -2 + 11 + -4. 16 Calculate 3 + 32 + -25 - (-10 - 7). 27 What is 10 - ((-14 - 6) + 17)? 13 What is -13 + 10 + (-11 - -1) + -7? -20 -7 + (1 - -3) - ((40 - 28) + -6) -9 What is 3 - (20 - 2 - 3)? -12 (-1 - 11 - (16 + 1)) + 10 -19 Calculate -6 - ((18 - 21) + (-1 + 3 - 6)). 1 Evaluate 2 + (5 - (10 + -7)) + 10. 14 What is the value of -1 + (0 - (10 + -11) - 3)? -3 36 - 36 - (3 - 3) - 6 -6 Evaluate 1 - -5 - (-25 + -21 + 32). 20 (-1 + 12 - -5) + 4 + -30 -10 What is 4 - (4 - (13 + -5) - -9)? -1 Evaluate (-2 - 1) + (-8 + 10 - 1 - -11). 9 Evaluate 11 + 13 + 6 + -16 + -1. 13 Evaluate -7 + (2 - -48) + -24. 19 Evaluate 15 + ((-9 - -10) + 8 - 17). 7 What is the value of 2 + 3 + -4 + -6 + (3 - -1)? -1 What is the value of (-34 - -20) + 13 - 17? -18 What is (-23 - (-5 - 4)) + -13 + 2? -25 Evaluate (-2 - (-11 - 0)) + -5 + -23. -19 What is -12 + -2 + 0 + 10 + -110 + 100? -14 Calculate (-2 - -30) + (12 - -4) + (12 - 34). 22 Evaluate 8 + -1 - -4 - 9 - -1 - -22. 25 What is (14 - -41 - 52) + 0 + -4 + 0? -1 Evaluate -13 + 10 + 23 + -13 + (-18 - 0). -11 Evaluate 3 + -7 - 5 - (-6 + 5 + 1). -9 What is -5 + -1 + -4 - (10 - 7)? -13 What is 15 + 34 + -28 + 1? 22 Calculate -45 + 3 + 324 + -313. -31 What is 0 + -9 + (-1 - -10) + 2? 2 Evaluate 2 + (-5 - -3) + -8 + (-1 - -27). 18 What is the value of 3 + -6 + 0 + 9 + (-16 - 4)? -14 6 + (7 - (-8 - -17)) + 0 + 1 5 -15 - -13 - (1 - 12 - (-20 + 18)) 7 (-1 - -3) + -12 - (38 + (66 - 100)) -14 1 - -1 - (-172 - -189) - -3 -12 Evaluate 25 + -17 + 14 - 13. 9 Calculate 7 + (-26 - -8) + 16 - (0 + 4). 1 Evaluate 10 - -5 - (-22 - (11 + -35)). 13 -4 + (-6 - 1 - (-28 - (10 - 12))) 15 Calculate (16 + 11 - 19) + (5 - (1 - 3)). 15 What is 9 - (7 + 6 + -14)? 10 What is (-34 - (-7 - 20)) + 12? 5 -18 - (12 - 28 - (25 + -43)) -20 What is the value of (-53 - ((9 - 19) + -3)) + 6? -34 Calculate (-4 + -2 - (-13 + 16)) + 2. -7 What is the value of 0 - (-3 + (-9 - (4 + 0 - -3)))? 19 What is the value of (5 + -1 - 0) + (-1 - 0)? 3 What is 63 + -116 + 56 + (-13 - -1)? -9 Calculate 16 - (-8 + -4 + 47). -19 Calculate 3 + (-4 - (12 - 17)). 4 What is 6 + -1 - -2 - (111 + -107)? 3 Calculate 4 - (-2 + 23) - -12 - (-2 - -1). -4 (-2 - (6 - 19 - -6)) + 20 + -15 10 Evaluate 6 - (2 - -1 - (1 + -3 + -4)). -3 What is (21 - 1) + -8 - -1? 13 7 + 1 + (5 + 10 - 13) 10 Evaluate 11 - ((-4 - -1) + 23 + -21). 12 What is the value of 2 + 0 + 5 + -14 - -15? 8 Evaluate 9 + -13 + 8 + 4 - -20. 28 (18 + -9 + -9 - -3) + -31 - -12 -16 Calculate -38 + 15 + (-39 - -38). -24 Evaluate (15 - (4 + -5)) + (-1 + 30 - 19). 26 4 + (-2 - (8 + -7)) + 1 + -11 -9 What is 0 + -11 + 8 + 3 + -16 + 6? -10 (-55 - 7 - -25) + 66 29 4 - (-248 - -266 - (1 - 8)) -21 -12 - -14 - -12 - 11 3 Calculate (-19 - (9 - 31)) + 2. 5 What is 2 + 1 + (22 - 12) + -4 + -25? -16 Evaluate -32 - ((-5 - -27 - 27) + 2 + 2). -31 Calculate (12 - (4 + (-4 - -7))) + 6. 11 Calculate 6 + (-12 - -1 - -21) + -14. 2 Evaluate -1 + -1 + (43 - 29). 12 Calculate 6 - (-14 + -13 + 19). 14 What is 4 + (-6 - 4 - (-24 - -23))? -5 Calculate 16 - (-10 + 21 + (-6 - 1)). 12 What is the value of -8 + 41 + -31 + -7 + -1 + 17? 11 4 + (-4 - 2) + (10 - 8) - -2 2 What is (25 - 79) + 14 - -25? -15 What is the value of 3 + 3 + -9 + -3 + 19? 13 What is -85 - -77 - (5 + 0 + 1)? -14 What is -24 - (-17 + 0 + 5)? -12 Calculate 8 - (39 + -10 + -12 - 18). 9 What is the value of -2 - (-19 + 20 + 1)? -4 What is 9 - (2 - (12 - 5) - 1 - -7)? 8 -5 - (-4 + -4 - (15 + -10 + 5)) 13 -8 + (6 - 3 - (-1 - 10) - -6) 12 Calculate -5 + 8 + (-1 - -1) + (19 - 49). -27 Evaluate 2 + -12 + 0 + -2548 + 2592. 34 Calculate -17 - (15 + (-4 - 17)). -11 Calculate 5 - (1 + (-11 + 19 - 0)). -4 What is the value of 0 + (4 + -7 - (-22 - -5))? 14 Evaluate -6 - (-35 + (-2 - -19)) - 8. 4 Calculate -10 + (12 + -8 - 9) + (-3 - -5). -13 What is 46 + -19 - (-12 + 7 + 13)? 19 Calculate (12 + (-2 - 5) - 16) + 12. 1 What is 7 + -4 + (-11 - -20) + -5 + 20? 27 (6 - (-24 - -15)) + -11 4 What is the value of 2 + 1 - (-7 - (7 + -16))? 1 What is -9 + 18 - -24 - 13? 20 -18 - -21 - (-13 - -2) 14 Evaluate -9 + -13 + 27 - -1. 6 Calculate 10 - (17 - 3) - -7. 3 Evaluate (16 - 13) + (0 + -1 - -1). 3 What is (29 - 24) + (0 - 3) + -7? -5 -6 - ((-14 - -8) + 13 - 9) -4 11 + -36 + 30 + 24 29 What is the value of -23 + 17 + -6 + 1? -11 What is the value of -18 + (4 - -8) + -3 + 2? -7 5 - (4 + -3 + 3) 1 What is 208 - 224 - (2 + -4)? -14 What is the value of (4 - 1) + 521 + -509? 15 What is the value of -8 + 0 + (206 - 216)? -18 Evaluate -3 + 4 + (-17 - -30). 14 Calculate -54 - -65 - (2 + 0). 9 Evaluate 24 + (-13 - -11) + -11 - 21. -10 What is 3 - (9 + 8 + -6)? -8 Evaluate 12 + (13 + -26 + -7 - -7). -1 What is the value of 41 + 26 + -43 + 13? 37 What is the value of -73 - -79 - (2 - 3) - 30? -23 What is the value of (31 + -33 - (-1 - -5)) + -61 + 51? -16 6 + (12 - (-12 - -16)) 14 (0 + -19 + 3 - -3 - -7) + 7 1 What is the value of 12 - (-11 + 7 - (2 - 2 - -20))? 36 Evaluate 24 + -24 + 5 + -17. -12 Evaluate 6 + (-14 - -7) + -2 + -6. -9 Calculate -6 + -5 - ((-6 - -2) + 2). -9 What is 8 - ((20 - 27) + (14 - (-3 - -2)))? 0 17 + -19 + (11 - 3) 6 Calculate (-100 - -95) + -2 + 3 + -3 + -2. -9 -31 + 16 + 11 + -21 -25 Calculate -1 + -15 + -42 + (49 - 16). -25 What is -141 + 116 - (4 + -1 + 1)? -29 Calculate (1 - 2) + -8 + (26 - (5 + -6)). 18 Calculate -80 - -83 - ((2 - 3) + 1). 3 Evaluate ((1 - 7) + -9 - -2) + 1 + 0. -12 What is the value of -1 + (-2 - -2) + (-21 - (37 + -65))? 6 What is (-20 + 43 - 26) + (1 - 8)? -10 Evaluate -4 + 9 + -13 - (-3 - 0). -5 -8 + 4 + 29 - (13 - 4 - 6) 22 What is 20 + (-26 + 7 - -3)? 4 -2 + -19 - (3 - -3 - 6 - 3) -18 Evaluate (-8 - -20) + 2 + (0 - 4). 10 -4 + -5 + (-7 - (-2 - 12)) -2 What is (11 - 5) + 11 + 11? 28 Calculate -6 - -1 - (2 + 2 + -12) - 7. -4 What is the value of -12 + -1 - (-3 - -3 - 2)? -11 What is -15 - -3 - -13 - -7 - -3? 11 What is the value of -1 + (-3 - (-2 + 5))? -7 What is the value of 2 - (-1 - (13 - 19))? -3 What is -2 + -3 + (-2 - (0 + 2)) + 9? 0 Calculate -10 - (18 - 13 - 22). 7 Evaluate 13 + (-5 - 12) + 12. 8 Evaluate (6 - (12 - -2)) + 3 + 10. 5 (-1 - 17) + 16 + 1 -1 Calculate -76 - (-33 + 18 + -28). -33 What is the value of 63 - 30 - 27 - (-1 + (26 - -3))? -22 Evaluate -3 + -23 + 24 + -13 + 0. -15 -4 - (2 + -3 + -8) 5 What is 9 + 0 - (2 + -13 - (-22 + 11))? 9 Evaluate -6 + (-6 - -32) - (-4 + 5 - 6). 25 Evaluate 4 - (-2 + 13 + -7 + 0). 0 14 - (-7 + 7 - -8) - (3 + -6) 9 Evaluate (0 - -7) + 208 + -193 + 0 + -8. 14 Evaluate -3 - (-2 + -4 - (5 - 8)). 0 Evaluate 18 + (-13 + -5 - 22). -22 What is the value of -10 + 11 - (4 - -4 - 20)? 13 9 + (25 - 18 - -5) 21 Evaluate -11 + -11 + (28 - 12). -6 Calculate 11 + -6 + (-7 - -5) + -1. 2 Evaluate 28 + 1 + -1 + 0 - (-119 - -125). 22 Calculate -11 + (2 - 1) - (-206 + 196). 0 Calculate -46 - -53 - (6 + -7 - 2 - -21). -11 Calculate (36 - 15) + (-15 - -1). 7 What is the value of (-64 - -82) + 0 + 17 + 2? 37 What is the value of 33 + 8 + (-16 - 7 - 1)? 17 Evaluate (-36 - (-1 - 4)) + 11 + 6. -14 What is 0 + -3 - -18 - (-28 - -35)? 8 -18 + (15 + 0 - 1) -4 What is the value of -10 - -10 - (-6 + 1) - 1? 4 Calculate (-266 - -214) + 31 + 0. -21 1 + (6 - (-2 + 6)) - 6 -3 (-24 - -22) + (4 - (-1 + 10)) - -17 10 What is the value of (-6 - (9 + -5 - (6 - 1))) + 1? -4 What is the value of -4 - (11 + -29 + 8)? 6 -35 - (16 + -52 + 16) -15 Calculate 287 - 283 - ((-1 - -3) + -1 + 11). -8 Evaluate 13 + (-5 - (0 - -2)) + 5 - 1. 10 Calculate (-3 + 16 - 2 - 6) + 4. 9 What is the value of -1 + 5 - (31 + -29 + -1 + -2)? 5 Evaluate -4 + -3 - ((-2 - 7) + -5). 7 What is the value of -1 + 8 + (17 - 23)? 1 What is -20 + 0 - -21 - (-1 - 1)? 3 22 - 3 - (85 + -62) -4 Evaluate 32 + -17 + 17 + -20. 12 Calculate 4 - 0 - (146 - 140). -2 What is the value of (-2 - (3 - 4) - 4) + 17 + -1? 11 Evaluate (-2 - -1) + 2 + -8 + -1 - -6. -2 What is the value of (226 - 260) + (74 - 0)? 40 What is the value of (-8 - (26 + -10)) + 37? 13 Calculate (-11 - -5 - 1 - -7) + -14 - 2. -16 What is 9 + -14 - 4 - -16 - (1 + -15)? 21 What is (-11 - -7) + (8 - (4 - -9))? -9 Calculate 2 + 7 + (11 - 29) - (0 - 9). 0 -21 + 4 + -44 + 56 -5 What is -8 - (-5 + (-7 - -16) + -3 + -2)? -7 What is the value of 1 + (1 - 0) + 78 + -13 + -103? -36 -4 + (-4 - -9 - (3 - 1)) -1 Evaluate 1 - -3 - (13 + -29
{ "pile_set_name": "DM Mathematics" }
) = -9*p**3 - 11*p**2 - 5*p + 4. Let n(y) = -5*y**3 - 6*y**2 - 3*y + 2. Calculate -3*m(t) + 5*n(t). 2*t**3 + 3*t**2 - 2 Let h(r) = 20*r - 4. Let c(q) = 9*q - 2. Let o(y) = -7*c(y) + 3*h(y). Let i(m) = -3*m + 2. Determine -6*i(t) + 7*o(t). -3*t + 2 Let o(c) = c + 1. Let r(t) = 5*t - 3*t - t - 5 - 5*t. What is -15*o(y) - 3*r(y)? -3*y Let q(m) = 7. Let u(p) = -7*p + 15 - p + 14*p - 5*p. Give -13*q(l) + 6*u(l). 6*l - 1 Let i(p) = 46*p**3 + 4*p - 4. Let o(c) = 46*c**3 + 5*c - 5. What is -5*i(r) + 4*o(r)? -46*r**3 Let c(l) = -52*l + 14. Let n(h) = 18*h - 5. Determine 4*c(a) + 11*n(a). -10*a + 1 Let m(a) = -9*a**2 + 7*a - 7. Let g(s) = -4*s**2 + 3*s - 3. Determine -7*g(c) + 3*m(c). c**2 Suppose 2*s - d = -8, -3*s + d = -2*d + 18. Let b(m) = -m**2 + 2. Let v(g) = -g**2 + 1. Give s*b(j) + 4*v(j). -2*j**2 Let p(d) = 4*d + 1 - d - 11*d + 7*d. Let s(r) = -r + 1. Give 5*p(u) - 4*s(u). -u + 1 Let h(i) = i**3 - i**2 + 0*i**2 - 4*i**3. Let q(p) = p**3 + p**2. Let v be 18/12*8/12. Let g be (-16)/56 - 18/(-14). What is g*q(y) + v*h(y)? -2*y**3 Let i(k) be the second derivative of 3*k**5/20 + 11*k**3/6 - 11*k**2/2 + k - 36. Let n(d) = d**3 + 4*d - 4. Give 4*i(o) - 11*n(o). o**3 Let q be (-30)/(-6) + 5/((-10)/6). Let w(o) = -4*o**2 - 3*o + 3. Let s(t) = t**2 + t - 1. Let g(l) = 2*l + 2. Let h be g(2). Give h*s(f) + q*w(f). -2*f**2 Let n(f) = -7*f + 3. Let o(q) = -q. Let b(y) = n(y) - 5*o(y). Let s(v) = v. Let h(d) = 2*d + 1. Let z(g) = 2*h(g) - 6*s(g). Calculate 2*b(j) - 3*z(j). 2*j Let p = 72 - 67. Let y(r) = -2*r**3 - 4*r**2 + 5*r - 4. Let v(m) = m**2 - m + 1. Determine p*v(u) + y(u). -2*u**3 + u**2 + 1 Suppose -4*y + 4*f - 6 - 14 = 0, -2*y - 10 = -4*f. Let t(r) = 11*r - 5. Let u(j) = -16*j + 7. Determine y*u(h) - 7*t(h). 3*h Let w(u) = -3*u**3 - 7*u + 7. Suppose z - 2 = 1. Suppose -14 = z*h - h. Let k(a) = -2*a**3 - 4*a + 4. Give h*k(l) + 4*w(l). 2*l**3 Let g(h) = 2 + 3*h + 5*h**2 - h + 2*h + h**3. Let s = 14 + -17. Let x(u) = u**3 + 4*u**2 + 3*u + 2. What is s*g(q) + 4*x(q)? q**3 + q**2 + 2 Let f(j) = -5*j**2 - 5*j + 1. Let r(d) = 27*d - d**2 - 28*d + 0*d**2. Calculate -f(s) + 6*r(s). -s**2 - s - 1 Let j(d) = -d**2 - 1. Let h(o) = -o**3 + 1. Let c(n) = -n - 14. Let b be c(-8). Let r = 7 + b. Determine r*j(t) + h(t). -t**3 - t**2 Let v(d) = -36*d**3 + 16*d + 10. Let x(w) = 7*w**3 - 3*w - 2. Calculate -3*v(c) - 16*x(c). -4*c**3 + 2 Let w(k) = k - 1. Let c(h) = 2*h - 1. Determine 3*c(y) - 5*w(y). y + 2 Let l(r) = r**2 - r + 1. Let w(i) = -9*i**2 + 3*i - 2. Determine 2*l(z) + w(z). -7*z**2 + z Let a(p) = p**2 - p. Let s(t) = 10*t - 4*t + 3 - 2 - 5*t**2. Calculate 11*a(l) + 2*s(l). l**2 + l + 2 Let x(g) = -3*g**3 + g**2 + 2*g. Let t(s) = -19*s**3 + 7*s**2 + 13*s. Determine -6*t(w) + 39*x(w). -3*w**3 - 3*w**2 Let b(i) = i**3 - 5*i**2 + 5*i. Let u(q) be the third derivative of -q**6/60 + q**5/10 - q**4/4 + 14*q**2. What is 6*b(l) + 5*u(l)? -4*l**3 Let s(u) = -49*u + 3. Let d(c) = 24*c - 1. Calculate 7*d(w) + 3*s(w). 21*w + 2 Let n(l) = -2*l**2 + 3*l + 5. Let x(q) = -6*q**2 + 4*q + 6. Let f(o) = 7*o**2 - 4*o - 6. Let z(g) = -4*f(g) - 5*x(g). What is -5*n(w) - 4*z(w)? 2*w**2 + w - 1 Let o(u) = -u**2 + u - 1. Let k(f) = -2*f**3 + 3*f**2 - f. Let r be k(2). Let y(z) = -2*z**2 + 2*z - 2. Determine r*y(s) + 10*o(s). 2*s**2 - 2*s + 2 Let l(y) be the second derivative of -5*y**4/6 + 13*y**3/6 + 7*y**2/2 - 4*y. Let k(d) = -7*d**2 + 9*d + 5. Suppose u - 6*u = -25. Determine u*l(s) - 7*k(s). -s**2 + 2*s Let t(z) = 7*z**3 - 5*z**2 + 5. Let m(u) = 15*u**3 + 2*u**2 - 2 - 10*u**3 - 9*u**3. Determine 5*m(w) + 2*t(w). -6*w**3 Let u = -36 + 32. Let b(z) = -6*z**3 - z**2 + 4*z + 3. Let d(g) = 7*g**3 + 2*g**2 - 5*g - 4. Give u*b(t) - 3*d(t). 3*t**3 - 2*t**2 - t Let x(c) = 65 - c**2 + 0*c**2 - 70 - 3*c. Let y = -2 + 4. Let d(q) = q**2 + 2*q + 4. What is y*x(m) + 3*d(m)? m**2 + 2 Let s(x) = -14*x**2. Let m = -19 - -10. Let f = 4 + m. Suppose 5*b = -3*w - 4, -w - w + 4 = 5*b. Let q(d) = 9*d**2. What is f*s(k) + w*q(k)? -2*k**2 Let v(m) = -20*m**3 - 8*m**2 + 11. Let l = -156 + 152. Let z(s) = 7*s**3 + 3*s**2 - 4. Calculate l*v(x) - 11*z(x). 3*x**3 - x**2 Let i(v) = 8*v**3 + 11*v**2 + 5*v. Let p = -2 - -6. Let g(m) be the first derivative of 1 + 0*m + 3/4*m**4 + 4/3*m**3 + m**2. What is p*i(q) - 11*g(q)? -q**3 - 2*q Suppose -33 = 2*l - 5*b, 3*b - 21 = l - b. Let k(m) = 4*m**3 + 13*m**2. Let u(a) = -a**3 - 3*a**2. Determine l*u(r) - 2*k(r). r**3 + r**2 Let u(x) be the third derivative of -7*x**5/60 + 5*x**3/6 + 8*x**2. Let h(i) = -3*i**2 + 2. Calculate -10*h(y) + 4*u(y). 2*y**2 Let p be 68/7 - 8/(-28). Suppose -i - 1 = 2*c + 4, c = -2*i - p. Let t(f) = -7 + c*f**2 + 7*f**2 + 2. Let d(x) = 11*x**2 - 8. Determine -5*d(o) + 8*t(o). o**2 Let v(x) = 4*x - 1. Let p(b) = -6*b + 6. Let d(y) = -5*y + 5. Let f(z) = -7*d(z) + 6*p(z). Let l be (6 - 5)/(1 + -2). Calculate l*v(i) - f(i). -3*i Let x(z) = -3*z + 17. Let v(w) be the third derivative of w**4/24 - 2*w**3/3 - 23*w**2. Give 9*v(t) + 2*x(t). 3*t - 2 Suppose -10 = 4*f + 2. Let l(y) = 2*y - 1. Let w(v) = -10 + 0 + 9. Determine f*w(m) + l(m). 2*m + 2 Let v(x) = 5*x - 1. Suppose -j = 4*j. Let a(z) = 1 + 0 + j*z - 4*z. Suppose 0 = 4*y - 17 + 5. What is y*a(p) + 2*v(p)? -2*p + 1 Let r(j) = 5*j**3 - 4*j**2 + 4*j - 8. Let i(o) = o**3 - o**2 + o - 1. Suppose -x + 0 = -3*h + 1, 4*x = -16. Calculate h*r(y) + 4*i(y). -y**3 + 4 Let v(t) = 3*t**2 - 2*t + 2. Let q(y) = -15*y**2 + 11*y - 11. Let a be 6*(50/15 - 3). Determine a*q(c) + 11*v(c). 3*c**2 Let d be (-231)/(-189) - (-2)/(-9). Let o(m) = -2*m**2 + 3. Let h(q) = -q**2 + 1. Calculate d*o(n) - 3*h(n). n**2 Let g(v) = 2*v**2 + 6*v + 7. Let y(j) = j**2 + 3*j + 4. Give -4*g(d) + 9*y(d). d**2 + 3*d + 8 Let d = -6 + 6. Suppose -b + d*b + 2 = 0, -3*h = -3*b + 3. Let x(i) = -i - 1. Let a(n) = 2*n**2 - 5*n - 5. Calculate h*a(l) - 5*x(l). 2*l**2 Let u(l) = -1. Let q(s) = 3. Let h(i) = -2*q(i) - 5*u(i). Let c(a) = -a - 1. What is c(t) - 3*h(t)? -t + 2 Let c(k) = -2*k**2 + 0*k**3 + 0*k + 2 - 2*k - k**3. Suppose 4*d + 0 = 8. Suppose 55 = 8*s - 3*s. Let o(r) = 5*r**3 + 11*r**2 + 11*r - 11. Give d*o(x) + s*c(x). -x**3 Let u(t) = -5*t**2 + 6*t + 7. Let n be (-2 - -1) + 0 - 5. Let q(o) = -4*o**2 + 5*o + 6. Give n*q(j) + 5*u(j). -j**2 - 1 Let i(a) = -4*a**2 + a + 2. Let n(c) = -23*c**2 + 5*c + 11. What is -34*i(t) + 6*n(t)? -2*t**2 - 4*t - 2 Let d(n) = 4*n - 6. Let j(a) = 2*a - 3. Suppose 0*o + 6 = -2*o - 2*x, 10 = 5*x. Calculate o*j(s) + 2*d(s). -2*s + 3 Let c(m) = m + 1. Let v(y) = 32*y + 10. What is 10*c(x) - v(x)? -22*x Let h(d) = -33*d + 7. Let a(g) = -11*g + 2. What is 21*a(m) - 6*h(m)? -33*m Suppose 0 = 5*r - 6 - 4. Let h(x) = -5*x**2 - 2 + r*x**2 + 2*x**2. Let v = -1 - -3. Let y(m) = 3*m**2 + 5. What is v*y(f) + 5*h(f)? f**2 Let r(g) = g**2 + 7*g + 5. Let q be r(-4). Let u(x) = 13*x**2 - 7*x + 4. Let h(c) = -6*c**2 + 3*c - 2. What is q*h(k) - 3*u(k)? 3*k**2 + 2 Let u(d) = -d**2 + 5. Let x(s) = -3 + 11 - 9. Give u(l) + 5*x(l). -l**2 Let u(d) = -252*d - 28. Let b(a) = 28*a + 3. Calculate -28*b(p) - 3*u(p). -28*p Let a(i) = i - 1. Let v(b) = -4*b**2 + 6*b - 11. Give 6*a(h) - v(h). 4*h**2 + 5 Let g(c) = 4*c + 9. Let d(t) = 2*t + 4. Calculate 13*d(k) - 6*g(k). 2*k - 2 Let u(s) = s**2 - 6*s + 1. Let j(q) = q - 1. Suppose y - 2*y = -1. Determine y*u(d) + 3*j(d). d**2 - 3*d - 2 Let r(p) = -12*p + 8. Let b(x) = 6*x - 4. Give 13*b(k) + 6*r(k). 6*k - 4 Let k(t) be the third derivative of t**6/30 + t**5/12 + t**4/4 + 2*t**3/3 - 4*t**2. Let p(s) = -5*s**3 - 6*s**2 - 7*s - 5. Determine -6*k(b) - 5*p(b). b**3 - b + 1 Let a(g) = -g**2 - 2. Let l(t) = 3*t**2 + 4. Determine 5*a(u) + 2*l(u). u**2 - 2 Let r(m) = 1 + 0*m - m + 0*m + 3*m. Let s(x) = 10*x + 5. What is 11*r(b) - 2*s(b)? 2*b + 1 Let m(i) = -3*i**2 + 4*i - 4. Let v(h) = 15*h**2 - 21*h + 21. Let k(j) = -j**2 + 4*j + 1. Let x be k(3). Calculate x*v(l) + 21*m(l). -3*l**2 Let w(m) = 6*m**2 - 5*m + 2. Let a(z) = z**2 - z. Give 4*a(b) - w(b). -2*b**2 + b - 2 Let f(v) = -v. Let t(d) = -2*d. Let b(m) = -3*f(m) + 2*t(m). Let z(l) = 4*l - 1. Let k(g) = g**2 - 4*g + 2. Let s be k(3). Calculate s*z(j) - 6*b(j). 2*j + 1 Let w be ((-20)/(-25))/(4/(-170)). Let q(t) be the third derivative of -t**4/12 + t**2. Let d be 1 - (-2 - -3) - 6. Let r(h) = 11*h. What is d*r(c) + w*q(c)? 2*c Let
{ "pile_set_name": "DM Mathematics" }
1630000 Convert 917843.1ms to seconds. 917.8431 How many minutes are there in 8/15 of a hour? 32 How many seconds are there in 3/25 of a hour? 432 What is thirty-two fifths of a millennium in years? 6400 How many days are there in 11/7 of a week? 11 Convert 36452.09 micrograms to kilograms. 0.00003645209 Convert 0.7045211 days to hours. 16.9085064 Convert 66635.883 seconds to hours. 18.5099675 How many micrograms are there in 11494.4 tonnes? 11494400000000000 How many millimeters are there in 5/4 of a meter? 1250 How many hours are there in two sevenths of a week? 48 How many milligrams are there in 31945.99 nanograms? 0.03194599 How many milligrams are there in 21/4 of a gram? 5250 How many grams are there in 6/5 of a kilogram? 1200 What is sixty-two sevenths of a week in minutes? 89280 How many milligrams are there in six fifths of a gram? 1200 Convert 6989.815m to centimeters. 698981.5 What is 91.15287cm in micrometers? 911528.7 What is one fifth of a tonne in kilograms? 200 What is twenty-two ninths of a week in minutes? 24640 What is 1/20 of a minute in seconds? 3 What is thirteen fifths of a centimeter in millimeters? 26 How many meters are there in 31/2 of a kilometer? 15500 How many months are there in 80.37608 centuries? 96451.296 What is 691.2309 kilograms in micrograms? 691230900000 How many months are there in five sixths of a century? 1000 How many nanograms are there in twenty-seven fifths of a microgram? 5400 Convert 47.68088 days to microseconds. 4119628032000 What is 8/25 of a milligram in micrograms? 320 How many kilograms are there in 17/2 of a tonne? 8500 What is 0.039234 decades in years? 0.39234 How many kilograms are there in 7/2 of a tonne? 3500 What is thirty-four fifths of a litre in millilitres? 6800 What is twenty-seven halves of a decade in years? 135 What is eleven quarters of a millimeter in micrometers? 2750 What is 87/5 of a century in years? 1740 What is 85.83781 milligrams in tonnes? 0.00000008583781 How many millilitres are there in eleven quarters of a litre? 2750 Convert 41.34166 weeks to nanoseconds. 25003435968000000 How many millilitres are there in 1/10 of a litre? 100 Convert 83.78851 nanograms to micrograms. 0.08378851 What is 1/4 of a meter in centimeters? 25 How many milligrams are there in 476214.5ug? 476.2145 How many millilitres are there in 870.721 litres? 870721 What is 0.300788 litres in millilitres? 300.788 How many months are there in twenty-five halves of a decade? 1500 How many microseconds are there in 3/8 of a millisecond? 375 How many seconds are there in 7.63595us? 0.00000763595 What is seven quarters of a litre in millilitres? 1750 How many centuries are there in 23.48975 decades? 2.348975 What is 490367.3um in millimeters? 490.3673 How many years are there in fourty-seven quarters of a century? 1175 What is 60.35848km in nanometers? 60358480000000 What is 16485.24 millennia in decades? 1648524 How many grams are there in 9.09455 kilograms? 9094.55 How many milligrams are there in 8964.844 kilograms? 8964844000 How many millilitres are there in one quarter of a litre? 250 What is 80236.6425s in weeks? 0.13266640625 How many millilitres are there in 5539.465 litres? 5539465 What is 0.3547989mg in nanograms? 354798.9 How many milligrams are there in one fifth of a gram? 200 What is 25/4 of a litre in millilitres? 6250 Convert 0.749168g to nanograms. 749168000 How many millimeters are there in 27.3615 centimeters? 273.615 How many kilograms are there in 64/5 of a tonne? 12800 How many minutes are there in four thirds of a hour? 80 How many millilitres are there in fifty-one halves of a litre? 25500 How many micrograms are there in 85232.92t? 85232920000000000 Convert 59083.64 hours to minutes. 3545018.4 How many months are there in fourty-three quarters of a century? 12900 What is 63.62666 centuries in years? 6362.666 How many micrograms are there in eleven quarters of a milligram? 2750 What is 5870.779 decades in centuries? 587.0779 How many months are there in 29/6 of a year? 58 How many microseconds are there in fifty-one halves of a millisecond? 25500 Convert 8531.683 millennia to years. 8531683 Convert 89887.27 centuries to years. 8988727 What is three eighths of a kilogram in grams? 375 How many millilitres are there in 7/8 of a litre? 875 How many micrometers are there in nineteen quarters of a centimeter? 47500 What is 1/10 of a kilometer in millimeters? 100000 How many milligrams are there in 3/32 of a kilogram? 93750 How many milligrams are there in seventeen halves of a gram? 8500 Convert 973341.09 nanoseconds to days. 0.000000011265521875 What is one fifth of a milligram in micrograms? 200 How many millilitres are there in 7/2 of a litre? 3500 What is 3272.658ng in grams? 0.000003272658 What is five quarters of a millimeter in micrometers? 1250 How many grams are there in one quarter of a kilogram? 250 What is three fifths of a microgram in nanograms? 600 What is 3/16 of a century in months? 225 What is 6560.842 nanometers in meters? 0.000006560842 What is 1/9 of a week in minutes? 1120 What is 0.6559494 millilitres in litres? 0.0006559494 What is 3.51084 micrograms in grams? 0.00000351084 How many nanometers are there in 3/50 of a millimeter? 60000 Convert 99.59014mg to tonnes. 0.00000009959014 Convert 14.47819 centuries to millennia. 1.447819 How many years are there in 1/4 of a millennium? 250 How many micrometers are there in 258181.3 kilometers? 258181300000000 How many millilitres are there in six fifths of a litre? 1200 How many kilometers are there in 70.26794 nanometers? 0.00000000007026794 How many micrometers are there in 42/5 of a millimeter? 8400 What is 15.26037 kilometers in nanometers? 15260370000000 How many micrometers are there in 32/5 of a millimeter? 6400 How many nanometers are there in 870.9728 kilometers? 870972800000000 What is 17/10 of a litre in millilitres? 1700 How many litres are there in 60603.9ml? 60.6039 What is 2889.0885 hours in days? 120.3786875 What is 781.6078km in centimeters? 78160780 How many micrometers are there in 17/2 of a centimeter? 85000 What is seventeen quarters of a milligram in micrograms? 4250 Convert 6.6893 nanograms to grams. 0.0000000066893 Convert 77090.07ug to tonnes. 0.00000007709007 What is 39274.47 days in microseconds? 3393314208000000 How many millilitres are there in one twentieth of a litre? 50 What is 0.151074 hours in nanoseconds? 543866400000 What is seventy-six fifths of a hour in minutes? 912 How many millilitres are there in 0.0028433 litres? 2.8433 How many litres are there in 30.40293ml? 0.03040293 What is fifty-two fifths of a litre in millilitres? 10400 How many nanometers are there in 3/50 of a millimeter? 60000 What is 1/16 of a gram in micrograms? 62500 Convert 1.752589 millilitres to litres. 0.001752589 How many litres are there in 412.7165 millilitres? 0.4127165 What is 47/4 of a litre in millilitres? 11750 How many seconds are there in 1/24 of a hour? 150 How many millilitres are there in 742.598 litres? 742598 What is two fifteenths of a week in seconds? 80640 Convert 259795.8 days to microseconds. 22446357120000000 Convert 5351.119um to kilometers. 0.000005351119 Convert 25465.48 years to millennia. 25.46548 What is 212666.8l in millilitres? 212666800 What is 27/4 of a microgram in nanograms? 6750 How many micrograms are there in one fifth of a milligram? 200 What is 5/8 of a millisecond in microseconds? 625 How many milligrams are there in eighteen fifths of a gram? 3600 What is 1/5 of a microgram in nanograms? 200 Convert 0.5962399m to millimeters. 596.2399 What is 39.92239 decades in centuries? 3.992239 What is thirty-seven fifths of a litre in millilitres? 7400 How many tonnes are there in 23.5997ng? 0.0000000000000235997 How many litres are there in 74529.53ml? 74.52953 How many years are there in one tenth of a millennium? 100 What is six fifths of a minute in milliseconds? 72000 What is five quarters of a millisecond in microseconds? 1250 Convert 424418.6nm to micrometers. 424.4186 What is seventy-three quarters of a millennium in years? 18250 What is 7/2 of a micrometer in nanometers? 3500 What is fifteen quarters of a centimeter in micrometers? 37500 How many millilitres are ther
{ "pile_set_name": "DM Mathematics" }
, 0.5, -339? -1 Which is the closest to -0.6? (a) -1 (b) 68 (c) -2 (d) 0.1 a Which is the nearest to 1? (a) -0.2 (b) -4649 (c) 4 (d) -1/7 (e) -6 d What is the closest to -4 in 0, -4947, -0.2, 4? -0.2 What is the nearest to -3 in 641, 3, -9/35, 0.4, 2? -9/35 Which is the nearest to -26? (a) 6/13 (b) -0.1 (c) -528 b Which is the closest to 7/5? (a) -40 (b) 18.9 (c) 0 c Which is the nearest to 1? (a) 56 (b) 2/7 (c) -1/143 b Which is the closest to 0.1? (a) -2/15 (b) -2 (c) -6.3 (d) 151 a Which is the closest to 0.2? (a) -3/2 (b) 0.4 (c) 17 (d) 169 b What is the nearest to 5 in -0.5, -21, -2, -7? -0.5 Which is the closest to 2557? (a) 0.2 (b) 2/17 (c) 7 c Which is the closest to 2/77? (a) 16 (b) 0.4 (c) -1/4 (d) -0.3 c What is the nearest to -2 in -4, 73, -2, -0.3, -2/7? -2 What is the closest to -4.3 in -0.1, -2.8, 26? -2.8 Which is the nearest to -8? (a) 4 (b) -1/9 (c) -2/5 (d) -1/10 (e) 162 c What is the closest to -1 in 0.2, -2, 4.7? -2 What is the nearest to -305 in 8, -0.3, 0.05? -0.3 Which is the closest to -0.0331? (a) -4 (b) -6 (c) -2/15 c Which is the nearest to 2/3? (a) 2110 (b) 13/2 (c) -0.5 c Which is the nearest to 0? (a) -136 (b) 2 (c) 1/2 c Which is the closest to -0.1? (a) 9 (b) -4/9 (c) -2 (d) -2/11 (e) 300 d What is the closest to -1 in -61, 0.02, 2/11, 9? 0.02 Which is the closest to 20/13? (a) -17 (b) 1 (c) 26/23 c Which is the nearest to -1/4? (a) -43 (b) -7 (c) 19 b Which is the closest to -2/11? (a) -12 (b) 107 (c) -2 c What is the closest to 34 in -3/4, 2/11, 5, 2? 5 Which is the nearest to 0.7? (a) -2/5 (b) -0.5 (c) -5 (d) 2/19 (e) -216 d What is the closest to -7 in 15, 5, -0.1, -4/45, 0.5? -0.1 What is the closest to 19 in 5, -1/5, -0.1, 592? 5 What is the closest to -0.03 in 103, 1/3, -8? 1/3 What is the nearest to -0.002 in 0.3, 26, 17? 0.3 What is the closest to -1/6 in -0.9, -1, -1/2, -6, -3? -1/2 Which is the nearest to -1/2? (a) 4 (b) 4/5 (c) -23 b What is the nearest to -3/5 in -2/17, 17.6, -4, 1? -2/17 What is the closest to 0.1 in 57, -2/5, -2, 82? -2/5 Which is the closest to 36? (a) 0.8 (b) 0.5 (c) -5 (d) 0.012 a Which is the nearest to -2? (a) 35 (b) -1 (c) -14 (d) -4 b Which is the nearest to 0.06? (a) 4/29 (b) -2/11 (c) -0.5 (d) 1/13 d What is the nearest to -1 in 6, 124, 3/1025? 3/1025 What is the nearest to -3.6 in -0.1, -6, 14.8, 2, -3? -3 Which is the nearest to 63? (a) 0.3 (b) 1/8 (c) 0.5 (d) -47 c Which is the closest to 0.2? (a) 0.3 (b) 5 (c) 14/15 (d) 0.4 (e) 3 a Which is the nearest to -0.01? (a) 0 (b) -5 (c) -34129 a Which is the nearest to -4/3? (a) -3 (b) 2/15 (c) 261 b Which is the closest to -1/4? (a) 53 (b) 1/16 (c) 0.07 (d) -3 b Which is the closest to 1/8? (a) -0.075 (b) -14 (c) 3 (d) 2/3 (e) 0.2 e Which is the nearest to 23? (a) -5/9 (b) -7 (c) -5 a What is the nearest to -0.71 in -2/7, 0, 4? -2/7 What is the closest to -2 in 0.1, -2/5, -17/2, -0.9? -0.9 What is the nearest to 3 in 0, -2/63, -3/4, 3/4, -1/9? 3/4 What is the nearest to -0.1 in -4/7, -353, 3, 55? -4/7 What is the closest to -0.1 in 1/3, -64, 17, -2? 1/3 Which is the closest to -1? (a) 2.9265 (b) 0 (c) -0.1 c What is the nearest to 568 in 1/6, 1, 5, -1, 0.5? 5 What is the nearest to 0.1 in -3, 14179, -1? -1 What is the nearest to 1 in -1.7, -42, -12? -1.7 What is the nearest to 0.2 in 0.14, 3, -3, -2, 2/13? 2/13 What is the closest to 1 in 0.84, 1/6, 5, 0.5? 0.84 Which is the closest to 2? (a) 34 (b) -2/11 (c) 0.05 (d) 0.3 d What is the closest to -1290/7 in -1, 5, 1.1, 0.1, 0.2? -1 Which is the closest to -2/5? (a) -0.5 (b) -3/29 (c) 937 (d) 2/7 a Which is the nearest to -0.2? (a) 1168 (b) -1/3 (c) -5 b Which is the closest to -0.53? (a) 0.7 (b) -0.5 (c) -0.08 (d) -5 (e) -1/9 b Which is the nearest to -13? (a) -23 (b) -0.2 (c) -1.08 a Which is the closest to -1? (a) 4 (b) 0.1 (c) -20/7 (d) -1/6 (e) -2/11 e What is the closest to 2/5 in 5, -7/13, 3/8, 3/4, -152? 3/8 Which is the nearest to -0.1? (a) -5 (b) 1/7 (c) 9 (d) 7 (e) -6/7 b What is the closest to 2/35 in -3, 1/2, 31, -4? 1/2 Which is the closest to 6/5? (a) 15/2 (b) -0.3 (c) 4/13 (d) 5 c Which is the nearest to 2/7? (a) 4 (b) 465 (c) -20 (d) -0.5 (e) 1 e What is the closest to 0.1 in 3/5, 9, -0.01, -2, 3? -0.01 What is the closest to 0.1 in -52, 5, 8, -11, 1/6? 1/6 What is the nearest to 1 in -1, 2/3, 0.2, 2/17? 2/3 Which is the nearest to 17? (a) 2/13 (b) 5 (c) 7 (d) -2 c Which is the nearest to 37? (a) 0.5 (b) -1/29 (c) -5 a Which is the nearest to 0.2? (a) 609.54 (b) 4 (c) -4/9 c What is the closest to 1/3 in 0.1, -0.5, 3, -0.05, 1.6? 0.1 What is the nearest to -2 in -2/3, -0.1, -1/1379, 5? -2/3 What is the nearest to 1 in 1, -1, 5/3, 28/3, -4? 1 Which is the nearest to 4? (a) 3/4 (b) 5 (c) 33583 b What is the nearest to -2 in 1/3, -460, 8, 2/15? 2/15 What is the nearest to -2/5 in 0.7, -3, 0.334? 0.334 Which is the closest to 0.2? (a) 1/32 (b) 2/53 (c) 3 b What is the closest to 0 in -4, 3/11, -10, 5, -2/11? -2/11 Which is the nearest to -1/3? (a) 5 (b) -1.5 (c) -5 (d) -21 b What is the closest to 3/8 in -1, -3.7, 155? -1 Which is the closest to 2? (a) -20 (b) -4/607 (c) 6 b Which is the closest to 7? (a) -2 (b) 2/13 (c) 5 (d) -2/807 (e) 3 c Which is the closest to -0.07? (a) 2/9 (b) -0.4 (c) 0.049 c What is the nearest to 1/5 in -4, -1/3, 0.0534? 0.0534 What is the closest to 2/13 in 58, 33, -1/2? -1/2 What is the nearest to -248 in 0, 0.3, -2, 5/7, -0.4? -2 Which is the nearest to -2/7? (a) 0.3 (b) -5 (c) 26 (d) 0.1 d Which is the nearest to 3/5? (a) 0.1 (b) -2 (c) 5 (d) -4 (e) -0.13 a Which is the closest to -0.1? (a) 4 (b) -0.04 (c) -199 (d) -1 b What is the nearest to -4 in -32, -5, -0.044? -5 Which is the nearest to -27? (a) -35/193 (b) 0.1 (c) -3/5 c Which is the nearest to 7? (a) 1 (b) 1/7 (c) 2 (d) -9 (e) 5 e Which is the closest to 2/7? (a) -0.02 (b) 119 (c) 1.2 a Which is the closest to 64? (a) -4 (b) -36 (c) 5/2 (d) 0 (e) -6/7 c What is the closest to -0.2 in -0.049, 5, 2? -0.049 Which is the closest to -0.2? (a) -8 (b) 5 (c) 0.5 (d) 2/5 d Which is the nearest to 0? (a) 3 (b) -6740 (c) -1/10 (d) 5 (e) -1 c Which is the nearest to -0.392? (a) -0.11 (b) 0.5 (c) -0.42 c Which is the closest to -4? (a) 1.2 (b) 0.05 (c) 1/4 (d) -17 b What is the nearest to 6/49 in 1/3, -835, -2? 1/3 Which is the nearest to -1/2? (a) -102 (b) -0.02 (c) 16 (d) -1/3 d Which is the nearest to 0.1? (a) -1/13 (b) 3.1 (c) 4 (d) -0.06 (e) 0 e Which is the closest to 0.4? (a) -1/7 (b) -2 (c) 6/5 a What is the nearest to -2/7 in -1/12, 0.1, -7/2, -553? -1/12 Which is the closest to 11? (a) 2 (b) 1/4 (c) 1/19 (d) -1/8 a What is the closest to 2/5 in 1/3, -5, -0.01, -2/8777? 1/3 Which is the closest to -1? (a) 2/19 (b) -23 (c) -79 (d) 3/5 (e) -0.2 e What is the closest to 10/9 in -2/13, -0.1, 8, 0.5? 0.5 Which is the nearest to 1/42? (a) 2/5 (b) 0.2 (c) 1 b What is the closest to 2 in 0, -1/146, -0.3, -1/2? 0 Which is the nearest to 0? (a) -8 (b) 321 (c) 0.2 c Which is the nearest to -0.12? (a) -0.04 (b) -3/7 (c) -1/119 (d) -3/4 a What is the closest to -46/5 in -5, 3/4, -207/2, 0.17? -5 Which is the nearest to 0.06? (a) 145/51 (b) -1/11 (c) 1/8 c Which is the nearest to -0.1? (a) 8 (b) 4 (c) -82 b Which is the closest to 0? (a) -1/2 (b) -1 (c) -500/23 a What is the closest to 4/3 in -44, -0.4, -26? -0.4 What is the nearest to 2 in 3, -2/35, -5/7? 3 Which is the closest to 8.4? (a) 0.5 (b) -2 (c) -0.2 a What is the closest to -3 in 0.5, 5, -1/3, -10, -0.3? -1/3 What is the nearest to -1 in 4722, -5, 1/10? 1/10 Which is the nearest to -3? (a) 1 (b) 0.017 (c) 146 b Which is the closest to 1? (a) -37 (b) -9 (c) 32/19 (d) -0.3 c Which is the nearest to -18? (a) 0.5 (b) -80 (c) -2/9 (d) -5 (e) -0.3 d What is the nearest to 0.1 in -1, 31, 0.052? 0.052 What is the closest to 1.1 in -8, -1.2, 1/3, 4? 1/3 Which is the closest to -0.73? (a) 4/9 (b) -3 (c) -260 (d) 1 a Which is the nearest to -0.1? (a) -33 (b) 1 (c) -4/11 (d) 0 d What is the nearest to -1/2 in 0, 0.4, -5, -1690? 0 What is the closest to 2 i
{ "pile_set_name": "DM Mathematics" }
0 How many minutes are there in 29/3 of a day? 13920 What is eight thirds of a week in minutes? 26880 What is 68.91758 tonnes in grams? 68917580 What is seven sixths of a year in months? 14 What is 31.61116 kilograms in grams? 31611.16 How many millimeters are there in 7306.075cm? 73060.75 What is five eighths of a kilometer in centimeters? 62500 How many meters are there in 18/5 of a kilometer? 3600 What is 31/6 of a week in hours? 868 How many milliseconds are there in five eighths of a second? 625 How many decades are there in 21/2 of a century? 105 How many milliseconds are there in 5/8 of a minute? 37500 How many grams are there in 6/5 of a kilogram? 1200 How many micrometers are there in 547169.3 nanometers? 547.1693 How many kilograms are there in three tenths of a tonne? 300 How many nanograms are there in six fifths of a microgram? 1200 What is 1/4 of a millennium in months? 3000 What is eleven tenths of a millennium in months? 13200 How many millilitres are there in five quarters of a litre? 1250 What is one fifth of a tonne in kilograms? 200 How many minutes are there in 2.7170364s? 0.04528394 Convert 28.329612 months to centuries. 0.02360801 What is thirteen quarters of a meter in centimeters? 325 What is 88234.79 years in centuries? 882.3479 Convert 347.4303 litres to millilitres. 347430.3 What is 9.241605 kilometers in micrometers? 9241605000 Convert 48212.2 centuries to months. 57854640 What is five quarters of a century in months? 1500 What is 13/5 of a millennium in years? 2600 Convert 0.8156008 decades to centuries. 0.08156008 What is 5774.659ms in seconds? 5.774659 What is 960.7468 nanograms in milligrams? 0.0009607468 Convert 0.0797411kg to micrograms. 79741100 How many grams are there in 19/4 of a kilogram? 4750 What is 94996.75 grams in kilograms? 94.99675 How many litres are there in 0.8007811 millilitres? 0.0008007811 What is 13/8 of a century in months? 1950 What is eleven tenths of a litre in millilitres? 1100 Convert 914.1015 kilograms to tonnes. 0.9141015 How many nanometers are there in 3/50 of a micrometer? 60 How many millimeters are there in five quarters of a meter? 1250 What is six fifths of a millennium in decades? 120 What is 3/40 of a kilometer in millimeters? 75000 What is 684.8204 meters in centimeters? 68482.04 What is 11/10 of a millennium in centuries? 11 How many millilitres are there in 0.8324823 litres? 832.4823 What is 2.562168 hours in seconds? 9223.8048 What is 6926.23 grams in kilograms? 6.92623 What is 1/5 of a microgram in nanograms? 200 Convert 0.7808847 millilitres to litres. 0.0007808847 How many centimeters are there in 3.31535 millimeters? 0.331535 Convert 534.0136 nanograms to kilograms. 0.0000000005340136 What is one quarter of a meter in millimeters? 250 What is 3/25 of a microgram in nanograms? 120 How many millilitres are there in three tenths of a litre? 300 How many micrograms are there in 9/10 of a milligram? 900 What is 53/4 of a litre in millilitres? 13250 How many years are there in 5/4 of a millennium? 1250 How many milligrams are there in three eighths of a gram? 375 What is one twentieth of a second in microseconds? 50000 What is 32/5 of a millimeter in micrometers? 6400 How many months are there in 6/5 of a millennium? 14400 How many nanograms are there in one quarter of a microgram? 250 How many nanoseconds are there in 33/5 of a microsecond? 6600 What is nineteen quarters of a tonne in kilograms? 4750 How many kilometers are there in 0.4458532 nanometers? 0.0000000000004458532 What is 11/4 of a litre in millilitres? 2750 What is one twentieth of a microgram in nanograms? 50 What is 636943.4nm in meters? 0.0006369434 How many micrograms are there in 1.354871g? 1354871 What is 288.7328 decades in years? 2887.328 How many years are there in 13/5 of a decade? 26 How many millilitres are there in 75.82996 litres? 75829.96 How many micrometers are there in 21/4 of a centimeter? 52500 How many kilograms are there in three tenths of a tonne? 300 How many microseconds are there in 11/4 of a millisecond? 2750 What is 25.03437s in milliseconds? 25034.37 What is 9/10 of a litre in millilitres? 900 What is 1/10 of a century in decades? 1 How many milligrams are there in 81/4 of a gram? 20250 Convert 965.3358 centuries to millennia. 96.53358 How many nanometers are there in 5.481721 centimeters? 54817210 How many months are there in 61/2 of a decade? 3660 What is 2/125 of a litre in millilitres? 16 How many kilograms are there in 46/5 of a tonne? 9200 What is one quarter of a millimeter in micrometers? 250 What is 292835.3 millilitres in litres? 292.8353 What is 21/5 of a millennium in years? 4200 How many nanoseconds are there in 0.1213594 minutes? 7281564000 What is 35330.04l in millilitres? 35330040 How many years are there in 3/25 of a millennium? 120 How many centimeters are there in 5/4 of a meter? 125 How many litres are there in 169938.2ml? 169.9382 How many litres are there in 743.7236 millilitres? 0.7437236 What is 6.279614 micrometers in meters? 0.000006279614 How many millilitres are there in 15/4 of a litre? 3750 How many months are there in 0.5171567 centuries? 620.58804 What is 3/25 of a litre in millilitres? 120 How many centimeters are there in 695.5689m? 69556.89 What is 7/4 of a day in minutes? 2520 Convert 92589.26m to nanometers. 92589260000000 What is 4857.544 litres in millilitres? 4857544 What is 22.218l in millilitres? 22218 What is 77/5 of a millimeter in micrometers? 15400 What is 7/8 of a litre in millilitres? 875 Convert 0.3226929l to millilitres. 322.6929 How many kilograms are there in 3/8 of a tonne? 375 How many milliseconds are there in eight fifteenths of a minute? 32000 What is 74.153 millimeters in nanometers? 74153000 What is twenty-one halves of a litre in millilitres? 10500 How many meters are there in 5/8 of a kilometer? 625 What is 98217.02 centuries in months? 117860424 What is 3/8 of a litre in millilitres? 375 Convert 957.4368ng to micrograms. 0.9574368 What is 12.95493mm in nanometers? 12954930 Convert 2.49699 years to decades. 0.249699 What is 6/5 of a millennium in months? 14400 What is 1.5221064 months in decades? 0.01268422 How many milligrams are there in 3/8 of a gram? 375 How many minutes are there in 4/3 of a hour? 80 How many months are there in 6/25 of a millennium? 2880 Convert 2.833148 decades to millennia. 0.02833148 Convert 0.4305847 years to millennia. 0.0004305847 What is fourty-three quarters of a week in hours? 1806 What is 7.896384 litres in millilitres? 7896.384 How many centimeters are there in 27/4 of a meter? 675 How many days are there in 24616.548us? 0.00000028491375 How many kilograms are there in 61/4 of a tonne? 15250 How many milligrams are there in 42/5 of a gram? 8400 What is nine tenths of a micrometer in nanometers? 900 What is 3/5 of a centimeter in millimeters? 6 What is 5.572625 meters in kilometers? 0.005572625 How many grams are there in thirteen fifths of a kilogram? 2600 How many millilitres are there in three eighths of a litre? 375 What is 28559.43ml in litres? 28.55943 How many millimeters are there in five quarters of a meter? 1250 What is 4169.337 micrograms in nanograms? 4169337 How many decades are there in 21444.16 millennia? 2144416 What is 1/4 of a meter in millimeters? 250 What is seven eighths of a millennium in months? 10500 How many millilitres are there in 1.572609l? 1572.609 Convert 843214.4 millennia to months. 10118572800 What is 3/40 of a hour in seconds? 270 Convert 27.15719cm to micrometers. 271571.9 Convert 813334.7km to meters. 813334700 How many litres are there in 1.94114 millilitres? 0.00194114 What is 9.77775um in millimeters? 0.00977775 What is 8054.44 millilitres in litres? 8.05444 How many months are there in 86689.04 years? 1040268.48 Convert 0.5650828mm to micrometers. 565.0828 How many months are there in 6745.95 millennia? 80951400 What is 33/5 of a week in minutes? 66528 How many millimeters are there in eleven quarters of a meter? 2750 How many meters are there in 7/2 of a kilometer? 3500 How many nanoseconds are there in 3/10 of a microsecond? 300 Convert 959.169 tonnes to micrograms. 959169000000000 How many kilograms are there in 1.99625mg? 0.00000199625 How
{ "pile_set_name": "DM Mathematics" }
-7)? 2, 3 List the prime factors of (1 + 118/4)/(22/1364). 31, 61 Suppose -5 + 3 = -t. Let o = 15 + -11. Suppose t*k = 5*q - 4*q + 46, o*k = -4*q + 116. List the prime factors of k. 5 Let a(w) = -8*w + 6. Let z(g) be the second derivative of 3*g**3/2 - 7*g**2/2 + 2*g. Let u(h) = -6*a(h) - 5*z(h). List the prime factors of u(1). 2 Suppose -4*q = -0*q - 304. List the prime factors of q. 2, 19 Let i = 12 - -24. What are the prime factors of i? 2, 3 Let o(b) = 341*b**2 + 5*b - 2. List the prime factors of o(-1). 2, 167 Suppose 2*s = -2*s + 12. Suppose -b - 76 = -2*u, -3*u + 2*u + 24 = s*b. List the prime factors of u. 2, 3 Let b(n) = -n**3 + 18*n**2 + 21*n + 4. Let u be b(19). Let h = 100 - u. List the prime factors of h. 2, 29 Let f(b) = b**3 - 10*b**2 - 9*b + 2. Let k be f(11). Let g be 6/(k/100)*-3. What are the prime factors of ((-60)/g)/((-2)/(-10))? 2 Let m = 315 - -949. What are the prime factors of m? 2, 79 What are the prime factors of (-3 - 130)*-1*15? 3, 5, 7, 19 Let x = 139 - 131. Suppose 0 = x*h - 2117 + 413. List the prime factors of h. 3, 71 Suppose -2*r + g = -5, 6 = 3*r - 3*g - 3. Let a = 4 - r. Let l = 4 - a. List the prime factors of l. 2 Suppose 0 = -2*i + 4, 0 = 4*n + 2*i + i - 38. Let k(o) = 2*o**3 - 14*o**2 + o - 8. List the prime factors of k(n). 2 Suppose 0 = 2*m - 4*g - 1997 - 1071, 0 = 3*m + 5*g - 4591. What are the prime factors of m? 2, 383 Suppose 0 = -3*v + 16 + 11. Let z be (-4)/6 + (-318)/v. List the prime factors of -3*4/z*45. 3, 5 Let o be 0 - (-12 - (0 + -1)). Let j = -47 - -14. What are the prime factors of o/j*3*-38? 2, 19 Suppose -14*s + 62 = -15*s. Let v = 217 + s. Suppose -5*w + 90 = 2*x, 4*x + 4*w - 25 = v. What are the prime factors of x? 3, 5 Suppose -647*x = -646*x - 523. What are the prime factors of x? 523 Let g be (-12)/60 - 32/(-10). Suppose -3*q = q + 2*b - 56, 3*q = -g*b + 48. List the prime factors of q. 2, 3 Suppose 0 = -h + 4*h - 15. Let s = -29 + 63. Suppose h*j + 56 = 4*v, v - s = -j - 11. What are the prime factors of v? 19 Suppose 8*j = -846 + 3294. List the prime factors of j. 2, 3, 17 Suppose 2*o + 4*j - 1390 = 2*j, -2081 = -3*o - 2*j. List the prime factors of o. 691 Let s = 1410 - -1484. List the prime factors of s. 2, 1447 List the prime factors of (-9832)/(-18) - 15/1620*24. 2, 3, 7, 13 Suppose -f + 1925 = -5*g, -g + 162 = -3*f + 5951. What are the prime factors of f? 2, 5, 193 Suppose 0 = 3*d - 4*d + v + 17, -3*d = v - 43. Suppose -3*y + 0*y = -d. Suppose -6*o + y + 13 = 0. What are the prime factors of o? 3 Let r = -2762 + 4530. What are the prime factors of r? 2, 13, 17 Let m(a) = 17*a**2 + 1. Let r be m(3). Let p be (-4)/10 - r/(-35). Suppose 6 = 3*c + 2*v - 91, 5*v = c - p. List the prime factors of c. 29 Let g(d) = -135*d - 3. Suppose 1 = -4*x - 3. List the prime factors of g(x). 2, 3, 11 Let p(j) be the third derivative of -j**6/120 + j**5/12 - j**4/24 + j**2. Let b be p(4). Suppose b*h + 162 = 15*h. What are the prime factors of h? 2, 3 Let a be (6 - 3) + 0 - -17. Suppose -6*z = -3*z - 5*q + a, 0 = 4*z + 5*q - 20. Suppose 0*f - f + 24 = z. What are the prime factors of f? 2, 3 Suppose -4005 = -x + 1020. List the prime factors of 2/(-3) - (x/9)/(-5). 3, 37 Suppose -172 - 55 = -3*m - 2*z, 4*z = -8. Suppose -m = -2*s - 5. What are the prime factors of s? 2, 3 Let b = 4 + 1. Suppose 5*w = 20 + b. Suppose -5*r = 0, -w*r - 7 = -5*p + 8. What are the prime factors of p? 3 Suppose -5*x - 9 = -19. What are the prime factors of x*((-338)/(-4) + -4)? 7, 23 Suppose 0 = -5*t + 2*a + 508, -3*t + 404 = 4*a + 120. What are the prime factors of t? 2, 5 Let u = -11 + 42. Let y = -13 + -6. Let v = u + y. What are the prime factors of v? 2, 3 Let o(v) = 5 + 20*v + 4*v + 9*v. What are the prime factors of o(2)? 71 Let a = 248 + -27. List the prime factors of a. 13, 17 Suppose -4*q + 40 = -12*q. Let m(w) = 7*w**2 - 8*w + 11. What are the prime factors of m(q)? 2, 113 Let z(y) = 239*y - 40. List the prime factors of z(2). 2, 3, 73 Suppose 0 = 6*a - 5174 + 284. List the prime factors of a. 5, 163 Let k(b) be the first derivative of b**4/4 + 4*b**3/3 + 3*b**2/2 + 4*b + 12. Let i be k(-4). List the prime factors of (32/(-2))/(i/20). 2, 5 Suppose 7*q - 8617 - 42 = 0. List the prime factors of q. 1237 Suppose -5*k + 3746 = 4*b, -5*b = -3*k - 2626 - 2075. List the prime factors of b. 3, 313 What are the prime factors of (5 + (-27)/2)*-60? 2, 3, 5, 17 Let f(b) = b**3 - 6*b**2 + b - 8. Let d be f(6). List the prime factors of 192 + 0 + 7 + (d - 7). 2, 5, 19 Let n(a) = -a. Let r(m) = 2*m**2 - 11*m + 8. Let q(y) = 2*n(y) + r(y). List the prime factors of q(7). 3, 5 Suppose -2631 + 615 = -4*r. Suppose -2*j = -8*j + r. What are the prime factors of j? 2, 3, 7 Let c = -1472 + 2949. What are the prime factors of c? 7, 211 Let z(t) = 4*t**2 + 4*t**2 - 7*t + 6 - t**3 - t**2 + t**2. Suppose -5*y = 4*v - 50, -4*v + 1 = -4*y + v. List the prime factors of z(y). 2, 3 Suppose -12 = -2*f + y - 1, -5*y = -2*f + 7. Let j = -5 + f. Suppose -2*p = -3*u - j, -5*p + 0*u = -4*u - 20. List the prime factors of p. 2 Suppose -4*h = 2*v + 6, -4*h - 4*v + 8 = -h. What are the prime factors of h/(-6)*126/28? 3 Let b(h) = -h**2. Let u(c) = c**3 + 18*c**2 + 18*c - 1. Let r(g) = 3*b(g) + u(g). What are the prime factors of r(-13)? 103 Suppose 5*p + 3*s - 1199 = 0, 3*p = 5*p + s - 479. List the prime factors of p. 2, 7, 17 Suppose -623 = 4*j - 1807. List the prime factors of j. 2, 37 Let s be (-5*3)/(6 - 7). Suppose 357 - s = 9*f. What are the prime factors of f? 2, 19 Let j = 5 + -1. Suppose -25 = -5*p, -4*v - 105 = v + j*p. Let n = v - -53. List the prime factors of n. 2, 7 Let r be (-593)/(-7) + 1 + (-30)/(-105). Let l = r - 47. What are the prime factors of l? 3, 13 Let x(r) = r**2 + r - 1. Let y be (-6)/4*(-20)/30. Let i(d) = 6*d**2 - 8. Let p(s) = y*i(s) - 4*x(s). What are the prime factors of p(5)? 2, 13 Suppose 4*d - 3*d = -3*q + 11, -3*d - 4*q + 28 = 0. Suppose d*x = 12*x - 20. Suppose -3*g = -x*g + 140. List the prime factors of g. 2, 5, 7 Let q = -318 - 120. List the prime factors of (-3 + 20/6)/((-2)/q). 73 Suppose 7*r + 16 = 2. Let c(y) = 23*y**2 - 4*y - 3. What are the prime factors of c(r)? 97 Let g(i) = -i + 7. Let z be g(5). Let q(f) = 8*f**2 + 3*f - 6. What are the prime factors of q(z)? 2 Suppose 21 = -7*d + 14*d. Suppose -27 = -t + 4*s, t + 3*s + 5 = -d. What are the prime factors of t? 7 Let g(i) = 55*i - 1. Let p be g(-2). Let v be 6/(-16)*2*16. What are the prime factors of (-5)/20 + p/v? 3 What are the prime factors of (-9)/6*-1*5530/21? 5, 79 Let k = 4691 + -3220. What are the prime factors of k? 1471 Let z(n) = 27*n**2 - 1. Let x be z(1). Let m be -15 + x + 3*-1. Suppose 0 = -m*v + 3*v + 190. List the prime factors of v. 2, 19 Suppose -1908 = -8*l - 4*l. List the prime factors of l. 3, 53 Suppose 0 = -3*m + 4*g + 35, 6*m - 2*g - 35 = m. Suppose m*v - 2*v - 750 = 0. List the prime factors of v. 2, 5 Let z(a) = a**2 - a + 1. Let w(x) = 4*x**2 + 2*x + 4. Let d(q) = -w(q) + 5*z(q). Let j = 19 - 11. List the prime factors of d(j). 3 Let m be -4*(-2 - 1/(-2)). Let t(p) = -5*p**2 + 69*p + 24. Let v be t(14). Suppose s - m*s = -v. List the prime factors of s. 2 Let p(a) = 2*a + 71. Let l be p(0). Suppose -z + l = w - 3*z, -5*z + 325 = 5*w. List the prime factors of w. 67 Suppose 0 = -2*v + g - 2*g + 1501, 3*g + 2229 = 3*v. List the prime factors of v. 2, 11, 17 Suppose -2*d + 7 = 3. Suppose -2 = d*c - 2*l, -2*l + 8 = -0*l. Suppose 3*s - i + 0*i = 199, s - 77 = c*i. What are the prime factors of s? 5, 13 Suppose 0 = -3*t + 6 + 9. List the prime factors of (35 - 2) + 0 + (2 - t). 2, 3, 5 Let q(d) = -d**3 - 6*d**2 - 8*d + 3. Let p be q(-4). Suppose 2*a = p*a - 68. List the prime factors of a. 2, 17 Suppose 14 = 3*x + 2. Suppose -2*m - 2*a - a = -63, -m + 15 = -x*a. Suppose h - 13 = 3*d + 6, 3*h - 3*d = m. List the prime factors of h. 2 Let t(h) = 4*h - 6. Let i be 44/14 - 2/14. Let b be t(i). What are the prime factors of 4/b*(-1974)/(-28)? 47 Let p(k) be the first derivative of k**5/20 - k**4/12 - 5*k**3/6 + k**2 - 6*k - 4. Let l(o) be the first derivative of p(o). What are the prime factors of l(3)? 5 Suppose 3*n + 4 = l, -2*l + 3 = -3*n - 5. Suppose n = -r - 0*r + 5. Let k = 8 + r. List the prime factors of k. 13 L
{ "pile_set_name": "DM Mathematics" }
91, 42089 List the prime factors of 7849532. 2, 23, 41, 2081 What are the prime factors of 13247026? 2, 13, 29, 17569 What are the prime factors of 239553? 3, 43, 619 What are the prime factors of 73524? 2, 3, 11, 557 List the prime factors of 229845. 3, 5, 7, 11, 199 List the prime factors of 8948576. 2, 7, 13, 439 List the prime factors of 1409749. 11, 128159 What are the prime factors of 18084? 2, 3, 11, 137 What are the prime factors of 180730? 2, 5, 11, 31, 53 What are the prime factors of 14743843? 947, 15569 List the prime factors of 287206. 2, 163, 881 List the prime factors of 21269638. 2, 13, 233, 3511 List the prime factors of 2446611. 3, 19, 42923 What are the prime factors of 2193156? 2, 3, 7, 967 What are the prime factors of 5923039? 61, 89, 1091 List the prime factors of 2288938. 2, 149, 7681 What are the prime factors of 239837? 13, 19, 971 List the prime factors of 4132753. 751, 5503 What are the prime factors of 582675? 3, 5, 17, 457 List the prime factors of 11182963. 11, 19, 53507 What are the prime factors of 727430? 2, 5, 11, 17, 389 What are the prime factors of 3092838? 2, 3, 7, 211, 349 What are the prime factors of 3100543? 41, 47, 1609 What are the prime factors of 1439500? 2, 5, 2879 What are the prime factors of 9430305? 3, 5, 628687 List the prime factors of 774295. 5, 23, 6733 List the prime factors of 7767960. 2, 3, 5, 19, 3407 What are the prime factors of 1061724? 2, 3, 103, 859 What are the prime factors of 5902961? 17, 347233 What are the prime factors of 2098903? 2098903 What are the prime factors of 23284? 2, 5821 List the prime factors of 14291. 31, 461 List the prime factors of 7866. 2, 3, 19, 23 What are the prime factors of 310279? 31, 10009 What are the prime factors of 851244? 2, 3, 70937 List the prime factors of 2271991. 43, 52837 List the prime factors of 3035723. 3035723 What are the prime factors of 1943664? 2, 3, 40493 List the prime factors of 733735. 5, 257, 571 List the prime factors of 87251. 87251 What are the prime factors of 4559258? 2, 11, 207239 What are the prime factors of 900786? 2, 3, 150131 What are the prime factors of 524567? 47, 11161 List the prime factors of 5079913. 5079913 What are the prime factors of 83007? 3, 23, 401 What are the prime factors of 215171? 11, 31, 631 What are the prime factors of 17668862? 2, 401, 22031 List the prime factors of 2103401. 181, 11621 List the prime factors of 1458927. 3, 47, 3449 List the prime factors of 18525594. 2, 3, 3087599 What are the prime factors of 4088797? 29, 277, 509 What are the prime factors of 140349? 3, 11, 4253 What are the prime factors of 12472951? 17, 43159 What are the prime factors of 6781756? 2, 1695439 What are the prime factors of 416822? 2, 7, 19, 1567 What are the prime factors of 223353? 3, 13, 23, 83 What are the prime factors of 1799688? 2, 3, 11, 17, 401 What are the prime factors of 1835186? 2, 917593 List the prime factors of 754288. 2, 47143 List the prime factors of 2871946. 2, 7, 11, 17, 1097 List the prime factors of 4147454. 2, 811, 2557 List the prime factors of 535177. 17, 31481 List the prime factors of 1609363. 7, 61, 3769 What are the prime factors of 1566320? 2, 5, 7, 2797 List the prime factors of 3697580. 2, 5, 184879 What are the prime factors of 749677? 749677 List the prime factors of 26470818. 2, 3, 11, 133691 List the prime factors of 11213883. 3, 167, 829 List the prime factors of 108652. 2, 23, 1181 What are the prime factors of 6275041? 53, 197, 601 What are the prime factors of 140588? 2, 7, 5021 What are the prime factors of 415706? 2, 347, 599 What are the prime factors of 8567744? 2, 59, 2269 List the prime factors of 6625971. 3, 11, 17, 31, 127 List the prime factors of 1288012. 2, 11, 73, 401 List the prime factors of 30998. 2, 11, 1409 What are the prime factors of 182239? 182239 List the prime factors of 3641669. 131, 27799 What are the prime factors of 1243286? 2, 11, 31, 1823 What are the prime factors of 7092431? 7092431 What are the prime factors of 512169? 3, 7, 29 What are the prime factors of 936506? 2, 468253 List the prime factors of 3267592. 2, 233, 1753 List the prime factors of 238051. 11, 17, 19, 67 List the prime factors of 6165614. 2, 7, 13, 19, 1783 List the prime factors of 381197. 19, 20063 List the prime factors of 1254681. 3, 139409 List the prime factors of 3490722. 2, 3, 127, 509 List the prime factors of 1298339. 7, 185477 List the prime factors of 296993. 47, 71, 89 List the prime factors of 4391175. 3, 5, 58549 List the prime factors of 12508728. 2, 3, 107, 4871 List the prime factors of 754637. 13, 58049 List the prime factors of 3848245. 5, 23, 109, 307 What are the prime factors of 596431? 11, 59, 919 What are the prime factors of 23708142? 2, 3, 1317119 What are the prime factors of 309961? 17, 18233 List the prime factors of 4125. 3, 5, 11 List the prime factors of 387875. 5, 29, 107 List the prime factors of 682153. 682153 List the prime factors of 421641. 3, 11, 4259 What are the prime factors of 677179? 19, 29, 1229 List the prime factors of 1344516. 2, 3, 19, 5897 List the prime factors of 65231. 37, 41, 43 What are the prime factors of 11217339? 3, 7, 59351 What are the prime factors of 2658385? 5, 19, 27983 What are the prime factors of 279807? 3, 11, 61, 139 What are the prime factors of 41698? 2, 20849 What are the prime factors of 127595? 5, 13, 151 What are the prime factors of 141767? 141767 What are the prime factors of 8984987? 11, 816817 List the prime factors of 3039121. 107, 28403 List the prime factors of 590740. 2, 5, 29537 List the prime factors of 79282. 2, 7, 809 List the prime factors of 33269159. 7, 11, 432067 What are the prime factors of 23313? 3, 19, 409 What are the prime factors of 12952747? 12952747 What are the prime factors of 165240? 2, 3, 5, 17 What are the prime factors of 14909133? 3, 227, 21893 List the prime factors of 77376. 2, 3, 13, 31 List the prime factors of 1100074. 2, 61, 71, 127 List the prime factors of 2313568. 2, 197, 367 List the prime factors of 157588. 2, 39397 What are the prime factors of 1893470? 2, 5, 189347 List the prime factors of 3601427. 3601427 List the prime factors of 2100237. 3, 700079 What are the prime factors of 2002229? 2002229 List the prime factors of 6201002. 2, 3100501 List the prime factors of 199453. 199453 What are the prime factors of 1835671? 29, 63299 List the prime factors of 15194676. 2, 3, 7, 53, 3413 List the prime factors of 16750609. 19, 881611 What are the prime factors of 383193? 3, 42577 What are the prime factors of 9426574? 2, 61, 77267 List the prime factors of 12726543. 3, 127, 33403 List the prime factors of 290202. 2, 3, 11, 4397 What are the prime factors of 16140619? 11, 1467329 List the prime factors of 3258800. 2, 5, 8147 List the prime factors of 543368. 2, 7, 31, 313 List the prime factors of 533992. 2, 66749 What are the prime factors of 723135? 3, 5, 7, 71, 97 What are the prime factors of 994282? 2, 497141 List the prime factors of 1802476. 2, 13, 17, 2039 List the prime factors of 1817622. 2, 3, 241, 419 What are the prime factors of 251481? 3, 17, 4931 List the prime factors of 8035553. 8035553 List the prime factors of 210958. 2, 11, 43, 223 List the prime factors of 7106814. 2, 3, 11, 13, 251 List the prime factors of 7553474. 2, 17, 222161 List the prime factors of 6092949. 3, 467, 4349 List the prime factors of 80374. 2, 7, 5741 List the prime factors of 15303. 3, 5101 List the prime factors of 187318. 2, 73, 1283 What are the prime factors of 6858247? 11, 623477 List the prime factors of 221991. 3, 7, 11, 31 What are the prime factors of 671811? 3, 7, 31991 What are the prime factors of 500972? 2, 125243 What are the prime factors of 1418827? 659, 2153 List the prime factors of 27897415. 5, 7, 13, 19, 461 List the prime factors of 991104. 2, 3, 29, 89 List the prime factors of 154637. 7, 22091 What are the prime factors of 21127783? 21127783 List the prime factors of 5676637. 271, 20947 What are the prime factors of 65865? 3, 5, 4391 What are the prime factors of 809982? 2, 3, 17, 2647 List the prime factors of 8174105. 5, 137, 11933 What are the prime factors of 6715559? 29, 231571 List the prime factors of 1378073. 1378073 What are t
{ "pile_set_name": "DM Mathematics" }
common factor of 8757720 and 339624. 3816 Calculate the greatest common divisor of 391 and 4757042. 17 What is the greatest common divisor of 7173649 and 23323? 281 Calculate the greatest common factor of 21 and 552556508. 7 Calculate the greatest common divisor of 4440 and 44277456. 888 What is the greatest common divisor of 222456171 and 12? 3 Calculate the greatest common factor of 3780 and 406290465. 945 What is the highest common factor of 609208 and 808? 8 Calculate the highest common factor of 10284 and 1400. 4 What is the highest common factor of 14 and 669119878? 14 What is the greatest common factor of 152 and 5614500? 76 What is the highest common divisor of 638 and 116326192? 58 What is the highest common factor of 143925096 and 24? 24 What is the greatest common divisor of 796906 and 5518? 178 What is the greatest common factor of 20966688 and 416? 32 What is the greatest common divisor of 6308 and 257944? 76 Calculate the highest common divisor of 112443210 and 440. 110 Calculate the highest common divisor of 2368 and 39140672. 2368 What is the greatest common factor of 510 and 11342550? 30 Calculate the highest common factor of 194066729 and 103. 103 Calculate the greatest common divisor of 1470 and 137420745. 735 Calculate the greatest common divisor of 9002387 and 1895. 379 Calculate the highest common factor of 170 and 682430. 10 Calculate the greatest common divisor of 3114675 and 187325. 3175 Calculate the highest common divisor of 100 and 1759700. 100 Calculate the highest common factor of 502440 and 458200. 3160 What is the highest common factor of 48184075 and 5509? 787 What is the highest common factor of 278883 and 9703? 313 What is the highest common factor of 16744 and 755027? 91 Calculate the highest common divisor of 90204 and 182204563. 7517 Calculate the highest common divisor of 24970129 and 11716. 101 Calculate the highest common factor of 126 and 43533738. 18 What is the highest common factor of 559544 and 14184? 8 Calculate the highest common factor of 619 and 4765681. 619 What is the greatest common factor of 68 and 2805641852? 68 Calculate the greatest common factor of 425691 and 144942. 609 What is the highest common divisor of 307142 and 207? 23 What is the greatest common factor of 1204030 and 10260? 190 What is the highest common factor of 213492 and 954? 6 Calculate the greatest common factor of 11333641 and 1771. 253 Calculate the highest common divisor of 8 and 4628735040. 8 What is the highest common factor of 453530 and 990? 110 What is the greatest common factor of 884646 and 16380? 126 What is the greatest common divisor of 830352 and 1156? 4 What is the greatest common factor of 170574270 and 60? 30 What is the greatest common divisor of 76 and 72857704? 76 Calculate the greatest common divisor of 24070 and 150075. 145 Calculate the greatest common divisor of 60392732 and 296. 148 Calculate the highest common divisor of 1218087 and 52. 13 What is the greatest common factor of 9108 and 259923? 69 What is the greatest common divisor of 4587 and 228987? 33 Calculate the highest common divisor of 1297659 and 33. 33 Calculate the greatest common factor of 18810085 and 70. 35 What is the greatest common divisor of 550396 and 4886? 14 What is the highest common factor of 109 and 43866941? 109 What is the highest common divisor of 338077614 and 588? 42 Calculate the greatest common divisor of 297 and 1945917. 27 What is the highest common divisor of 65297 and 406249? 391 What is the greatest common divisor of 158750 and 4826? 254 Calculate the highest common factor of 1936 and 80115673. 121 Calculate the highest common divisor of 2198964 and 204. 12 What is the highest common factor of 7520 and 851593? 47 Calculate the greatest common factor of 171644 and 264704. 2068 Calculate the highest common divisor of 18 and 40932009. 9 What is the greatest common factor of 4410 and 932890? 70 What is the highest common factor of 203001 and 2023887? 471 What is the greatest common divisor of 128836 and 1211976? 124 What is the greatest common factor of 1260 and 20316? 12 Calculate the highest common factor of 3227636 and 322. 46 Calculate the highest common divisor of 453092 and 121672. 908 Calculate the greatest common factor of 3317 and 226519. 107 Calculate the highest common factor of 43741 and 17385761. 2573 Calculate the greatest common factor of 149515 and 578. 17 What is the greatest common divisor of 10991238 and 2468? 1234 Calculate the highest common divisor of 22052072 and 417. 139 Calculate the greatest common divisor of 40770 and 141210. 270 Calculate the highest common factor of 1311200 and 15840. 1760 Calculate the highest common divisor of 64445974 and 262. 262 What is the highest common divisor of 54 and 322950294? 54 Calculate the greatest common factor of 12261483 and 1755. 351 What is the highest common divisor of 24641529 and 165? 33 Calculate the highest common factor of 602 and 225062. 86 What is the greatest common divisor of 391651 and 1504? 47 What is the greatest common factor of 67 and 4217047? 67 What is the highest common divisor of 11137 and 452473? 259 What is the highest common factor of 9088 and 261833232? 1136 What is the greatest common factor of 11977 and 6107916? 59 What is the highest common divisor of 296190 and 60345? 135 What is the greatest common divisor of 226408864 and 1216? 608 What is the highest common factor of 3536 and 376265760? 3536 Calculate the highest common factor of 439720 and 4528. 8 Calculate the greatest common factor of 580 and 1925890. 290 Calculate the greatest common factor of 97011 and 36801. 27 Calculate the highest common divisor of 16420 and 38932. 4 Calculate the greatest common divisor of 39291175 and 2695. 385 What is the greatest common divisor of 32 and 187703792? 16 What is the greatest common divisor of 579 and 3817227? 3 What is the highest common factor of 1565 and 290635? 5 Calculate the highest common factor of 2349 and 186246. 27 Calculate the greatest common factor of 58 and 308255674. 58 What is the highest common divisor of 155 and 16818430? 155 Calculate the highest common divisor of 26 and 47047013. 13 What is the highest common divisor of 263495190 and 14? 14 Calculate the highest common divisor of 2064 and 242445696. 2064 Calculate the greatest common divisor of 52988528 and 1328. 1328 Calculate the highest common divisor of 673265978 and 10780. 1078 Calculate the highest common divisor of 10702549 and 231. 11 Calculate the highest common factor of 4635788 and 8603. 1229 Calculate the highest common divisor of 25435 and 5855. 5 What is the greatest common divisor of 4879773 and 12? 3 Calculate the greatest common factor of 3673103 and 2709. 301 Calculate the highest common divisor of 5146 and 230408. 166 What is the highest common divisor of 3312 and 9432972? 36 What is the greatest common factor of 1706241 and 9447? 141 Calculate the greatest common factor of 13958 and 16794465. 997 Calculate the highest common factor of 6698 and 2905334. 34 What is the greatest common divisor of 18178 and 1823462? 298 What is the highest common divisor of 2026998 and 297? 27 Calculate the highest common factor of 3023481 and 3. 3 What is the highest common divisor of 833 and 1225735? 49 Calculate the greatest common factor of 45 and 93812409. 9 What is the highest common factor of 84 and 15763419? 21 Calculate the greatest common divisor of 121261 and 2099755. 119 Calculate the greatest common divisor of 5093345 and 10. 5 Calculate the highest common divisor of 11 and 616565147. 11 What is the highest common factor of 74000 and 73200? 400 What is the highest common divisor of 974308 and 756? 4 Calculate the greatest common divisor of 56940 and 974805. 195 What is the greatest common divisor of 2867 and 3509025? 61 What is the highest common divisor of 12024864 and 64? 32 Calculate the highest common divisor of 2349 and 2167518. 87 Calculate the greatest common divisor of 263670707 and 53. 53 Calculate the highest common factor of 11099550 and 99. 33 What is the greatest common factor of 1359188723 and 2773? 2773 Calculate the greatest common factor of 189621 and 190431. 81 Calculate the highest common factor of 6157 and 19860779. 131 C
{ "pile_set_name": "DM Mathematics" }
-8. -2 -31 + 25 - (-8 + -1) - -5 8 (-78 + 73 - ((6 - -1) + -1)) + 2 -9 Evaluate 11 - (-21 - (-29 + -19)). -16 Calculate -13 - (-2 - (2 - 3) - -4). -16 What is the value of 1 + -7 - (18 + (18 - 12) + -15)? -15 Calculate -476 + 442 - (-38 + 2). 2 Evaluate -4 + -2 + (2 - 21) + (2 - 0). -23 (9 - (-7 + 14) - 3) + 9 8 (-19 - -2) + -52 + (66 - 3) -6 Evaluate (1 - -8) + 40 + -58. -9 Evaluate 8 + 21 + (-1 - (3 - (1 + -4))). 22 What is the value of -50 + 10 - (91 - 103)? -28 -8 + (35 - 17 - -7) 17 2 + -6 + (-1 - 0) - -9 4 What is the value of 3 + (5 - (-4 - (-5 - 7))) + -2? -2 Evaluate 42 + (-17 - 19) + -7 + 1. 0 (-5 - 20 - 4) + 4 -25 -2 - 1 - 1 - (65 + -40 - 34) 5 Calculate 762 + -787 + (1 - -28). 4 Evaluate 16 + (9 + -24 - -23). 24 Calculate 26 - ((11 - 15) + -2 + 6). 26 What is the value of -13 + 34 + -5 + -3? 13 (1 + -4 - (11 - 7)) + -5 + 1 -11 Calculate (2 + -12 - -2) + 2 - (-26 - -9). 11 -1 - -2 - 1 - (83 + -80) -3 Evaluate 0 + -2 + (605 - 599). 4 What is -8 + 0 + -3 + (-4 - 4)? -19 What is the value of 11 + -12 - (2 + -11)? 8 What is -1 + -5 - (4 + -17 + (13 - 11))? 5 Calculate 15 - (46 + (-40 - -23)). -14 -4 - (8 - (18 - -1)) 7 (7 - -1) + 40 + -47 1 Evaluate -2 + (32 - 15) - 23. -8 Calculate -24 + 2 + -16 + (11 - -2). -25 4 + -11 - 0 - ((-3 - 0) + 5) -9 What is the value of 18 - 4 - (-1 - -15)? 0 What is the value of 3 + -7 + -4 + 7 + 4 + -2? 1 Evaluate -19 - (-17 - -3) - 1. -6 Calculate -1 + 6 + -20 + (3 - 14). -26 Evaluate (1 + 15 - 17) + (1 - (13 + -2)). -11 -20 + 8 + 31 - (3 - -4) 12 What is the value of 19 - (0 + -1) - (41 + (-11 - 25))? 15 Evaluate 4 + 0 + -34 + -1 - (-310 + 305). -26 What is the value of 0 + (-2 - (-1 + 1)) + -1? -3 (-6 - -8 - -1) + 0 + -1 + -2 0 Evaluate -18 + (9 - (-5 + -7)). 3 What is the value of 17 + -49 + 49 - (1 + 8)? 8 26 + -15 - 8 - 3 0 What is the value of 31 - (15 - -57 - 6)? -35 Evaluate (42 - 20 - 15) + 1 + -3. 5 What is the value of 0 + 9 - (1 + 16 + -10 + -11)? 13 Evaluate -11 - (4 - (-2 - -12)). -5 What is the value of 21 + 1 + -26 + -1 + -3? -8 (-5 - -18 - 26) + 11 -2 What is the value of -12 - (-31 - (-18 + -4))? -3 What is 20 - (4 + 6 + 15)? -5 What is 5 + -22 + (-63 - -92)? 12 Evaluate -8 + -7 + 4 - (0 + 6) - 6. -23 What is -1 + (-13 - (-1 + -4) - -10)? 1 What is 25 + 1 + 245 + -268? 3 ((25 - 22) + (-3 - 1) - -22) + -7 14 What is -2 - -1 - (-10 + (7 - (-3 + 7)))? 6 1 + 7 - (-8 - -28 - 11) -1 Calculate (-22 - 50) + 44 - -64. 36 Calculate -1 + 9 + (-130 - -112). -10 Calculate 19 - (-1 + 7 + 16). -3 -2 + (-2 - 1 - (-31 + 26)) - -4 4 (3 - 5 - (-3 - -9)) + 1 -7 Evaluate 9 - (-25 - -39 - 13). 8 What is 1 + (14 - 25) + -5? -15 What is 8 + (4 - 0) + -12? 0 Calculate -9 + 1 + (21 + -8 - -1 - -4). 10 Evaluate 11 - (13 - (-9 - (-11 + 4))). -4 Calculate 8 + -35 + 27 - ((4 - 1) + 6). -9 What is the value of 1 - (2 + 8) - ((-3 - 48) + 6)? 36 1 + -31 + -14 + 12 + 11 -21 What is -3 + 5 + 4 + -2? 4 2 - (8 - (-7 + 6 + 10)) 3 218 - 196 - (24 - -2) -4 What is (3 - 6) + -12 + 18 + 8? 11 19 - (-8 + 0 + -1 + 10) 18 4 - 0 - -20 - 14 - -17 27 6 + 5 + -16 - ((-2 - -2) + 1) -6 Calculate -43 + 52 + -15 + 3. -3 Evaluate -85 + 38 - (21 - 51). -17 Evaluate (8 - (-2 + 17)) + 2 + -3. -8 What is the value of -9 + (-1 - (-5 - 1))? -4 What is the value of -16 - (-4 - -2) - (-3 + -3 + 4)? -12 What is (-2 - (27 + -4 + -6)) + 5? -14 -12 + (-9 - -12) + -2 + -19 -30 What is (0 - 9) + 9 + 15? 15 Calculate 47 + -1 + (47 - (31 + 31)). 31 Evaluate 25 - (-41 - -24) - 9. 33 Evaluate 4 - -16 - (-2 - 1). 23 121 + -121 - (3 + 6) -9 13 + -24 + 31 + (-9 - 1) 10 What is the value of (10 + -8 - -7) + (4 - -7) + 1? 21 What is -17 - (34 - 14) - -27? -10 What is (1 + 15 - 3) + -7 + -9 + 9? 6 -227 - -236 - (15 + 2) -8 Calculate -4 + -5 + 14 + -1 + -16. -12 -16 + 33 + 1 + -13 5 Evaluate -13 + 20 + -8 + 16 + -9. 6 What is -19 + (4 - (19 - 26))? -8 -15 - (2 + (-36 - -54)) -35 Evaluate (-1 - -8) + -4 - (-4 - (-9 + 3)). 1 What is -21 + 7 + (2 - (2 + -1))? -13 What is the value of -20 + 14 + 42 + -21? 15 What is the value of 3 - -1 - (8 + (-15 - -5))? 6 Calculate 10 + 10 + -8 + (1 - 2). 11 What is the value of 11 - (4 - (3 + (-22 - -5)))? -7 -2 - (-5 + (3 - -1)) - (11 + 1) -13 What is -8 + 0 + -2 + -21 + -4 + 5? -30 What is 14 + (9 + -6 - (0 - (-4 - 3)))? 10 Evaluate (20 - (5 + -4 + 6)) + 11. 24 What is (816 - 774) + (-1 - 10)? 31 Evaluate 15 - 15 - (-43 + (-1 - (-2 - 3))). 39 -2 - (-20 + 41 + -18) -5 What is the value of (-12 + 1 - (-5 + -1)) + -5 - 5? -15 What is the value of (8 - 2) + 0 + -7 + 17? 16 Evaluate -14 + 13 + 4 + -2 + (0 - -4). 5 Evaluate 15 - 2 - 12 - (-2 + -3). 6 Calculate 0 + -6 + (2 + 9 + -7 - -1). -1 What is -15 + (47 - (-19 - -28)) + -8? 15 Calculate -4 + 13 + -19 + (2 - 2). -10 What is the value of 27 - (28 + 1 - 21)? 19 What is the value of 9 + -9 + 22 + -13 + 6? 15 -7 - (-2 + 9 + -7 + 4) -11 -21 + -19 + 12 + 48 20 What is -2 + (4 - 3) - (-8 + 0)? 7 Evaluate (-1 + 1 - (8 + -7) - -5) + 1. 5 (-5 - 0) + -10 + 19 - 1 - -14 17 What is 5 + -3 + -6 + 0 - (-21 - 5)? 22 What is -8 - 1 - (8 + (-2 - (7 - 2)))? -10 Evaluate 51 + -56 + (1 - (7 - (1 + 1))). -9 Evaluate -9 + (-10 - -7 - (-25 + (-2 - -11))). 4 5 - (12 + -22 + 13 + -24) 26 What is the value of 9 + -14 + 2 + -2 + -4? -9 Evaluate (24 - 8 - (14 - 15)) + -6. 11 What is the value of 1013 + -1008 + (1 - 38) + -1? -33 What is the value of -16 + -3 + 0 + -2 + 3 + 4? -14 What is -503 + 499 + (1 - -21)? 18 -3 + 16 - (-6 + 4 - -10) 5 Calculate (-71 - -79) + -3 + 2 + (2 - 5). 4 Evaluate (3 - -1) + 20 + -16 + -7. 1 (8 - 15) + (-3 - (-4 - -10)) -16 What is (7 - 2) + 2 + 2 - (52 - 51)? 8 Calculate -12 - (0 - 23) - 8. 3 What is 8 - (-7 - (-4 - 12))? -1 Calculate (15 - ((-3 - -4) + 11)) + 0 + -10. -7 Evaluate 754 + -797 + (11 - 1 - -2) + -1. -32 Calculate 0 + 3 + 16 - (-19 - (22 + -31)). 29 11 - (-42 + -11 + 57) 7 Calculate -11 - -19 - -28 - 28. 8 (-10 - -8) + (-131 + 136 - (0 - -2)) 1 What is the value of -3 + -10 - ((-40 - -20) + 13)? -6 What is 1 - (-7 - (-7 + -3))? -2 Calculate -25 + (27 - 33 - (-3 - 7)). -21 Evaluate (11 - (-1 - -1)) + 90 + -92 + -28. -19 Evaluate (16 - (21 - 5)) + -10. -10 Evaluate -2 + (1 - (16 + -11)) + -1. -7 (-13 - -35) + -17 + 10 15 (2 - 0) + -8 + 0 - (-14 - -6) 2 Evaluate (9 - ((-4 - -2) + (38 - 10))) + 8. -9 What is the value of -8 + -1 + 11 - (-10 + 0)? 12 What is the value of 7 + 7 + -13 + -2 + 13? 12 What is -24 - (-16 + 17 + -28)? 3 What is 6 + -38 + 21 + -4? -15 Calculate (1 - -14) + -45 + (88 - 31). 27 Evaluate 8 + 2 - (12 - (-10 + 24)). 12 Evaluate -15 + 0 + -44 + 55 + -7. -11 What is -5 + 3 - (-51 - (-45 + 13))? 17 What is the value of (-7 - -5) + (-9 + 0 - (-28 - -23))? -6 7 + 2 + -51 + 45 - (0 - -6) -3 Calculate -25 - (17 + -22 + 9 + (-1 - 7)). -21 Evaluate 6 + 1 - 5 - -5 - 2 - -5. 10 Evaluate 24 + -4 - ((2 - 8) + 40). -14 -1 - -3 - ((-3 - 0) + (-6 - -2)) 9 What is 0 + -4 + 1 - (0 + -7)? 4 Evaluate 5 - (-17 + 1 - -10 - (1 - -2)). 14 Calculate -13 - (-3 - (24 - 24)). -10 Evaluate (-11 - 1) + (712 - 693). 7 What is -2 + 3 + 2 + (13 - 27)? -11 What is the value of 16 + (-14 - -3) + -12? -7 What is the value of -32 - (25 - 6 - 29)? -22 What is the value of 3 + -1 + 8 + 12 + -21? 1 Evaluate -24 - ((-3 - 0) + -15). -6 Calculate (0 - -34) + (-28 - -5 - -17). 28 What is -19 - 3 - -2 - (-8 + 8 + -4)? -16 What is (-4 - (0 - 2)) + (-3 - -31 - 32)? -6 5 - (15 - (19 + -10 + -2)) -3 Calculate (12 - (0 + 14 + 8)) + -6. -16 Calculate -2 - ((-39 - -20) + 31 + 4). -18 Evaluate -10 + (-1 - -2) + 5 + -8 + 5. -7 -30 - -8 - ((-12 - -4) + 1 + -1) -14 Evaluate -14 + 26 + (-20 - 2). -10 What is (-100 - -94) + (-1 - 0 - (-14 + 2))? 5 13 + -12 - (42 + -24) -17 What is the value of -5 + 14 + -7 - (-6 - (-8 - -18))? 18 -1 + -18 - (480 + -499) 0 What is -17 + 2 - (47 - 37)? -25 What is (-1 + 4 - -3) + (-7 - (-11 + 7))? 3 Calculate 15 + 8 + (-22 + 7 - -19). 27 Calculate 3 + -11 + (9 - 15 - -10). -4 What is 21 - (18 - 17 - -11)? 9 What is the value of -38 + (10 - (19 - 16 - 2))? -29 Calculate (85 - 60) + (7 + -2 - 13). 17 13 - (-20 + -19 + 17 + 7) 28 (-15 - 1) + (5 - -7) -4 Evaluate 3 + (-12 - (3 - (9 - 6)) - 3). -12 Calculate (-4 - 9) + 13 + 9. 9 1 + 6 + -1 + 132 + -137 1 Calculate -14 + -4 + 0 + (19 - 9) + -7. -15 What is the value of 32 - 23 - (0 + -2)? 11 Evaluate -26 + (-7 - ((-9 - -16) + -1)
{ "pile_set_name": "DM Mathematics" }
- 270. What are the prime factors of i? 2, 5, 41 Suppose -90 = 11*u - 640. List the prime factors of u. 2, 5 Let h(z) = -z**3 + 13*z**2 + 29*z - 44. List the prime factors of h(10). 2, 3, 7, 13 Suppose 41*t = 43*t - 10. Suppose -241 = -2*y + t*b, 5 = 5*b - 0*b. What are the prime factors of y? 3, 41 Suppose -14*o - 17*o = -15469. What are the prime factors of o? 499 Suppose 20*u - 52*u = -8832. List the prime factors of u. 2, 3, 23 Let d(r) = -2*r**2 - 58*r - 57. What are the prime factors of d(-24)? 3, 61 Let i(k) = -k**2 + 8*k + 11. Let m be i(9). Let g = -13 + 19. Suppose -50 = -m*u + 2*y, 0 = 5*y - g*y. What are the prime factors of u? 5 Let x(m) = 7*m**2 + 3*m. Let y be x(-3). Let g(t) = -36*t + 1. Let b be g(-1). Let u = y - b. List the prime factors of u. 17 Suppose 3*j + 18 = 7*j - 2*p, -3*j = -2*p - 12. Let t = -7 + 11. Suppose c = -3*q + j, 0*q + q = t*c - 63. What are the prime factors of c? 3, 5 Let a be (4 + -6)*(0 - 1). Suppose 0 = p - 3 - 0. Suppose p*g = -a + 47. List the prime factors of g. 3, 5 Let l(g) = 17*g**2 - 3*g - 13. Let z be l(6). Suppose 0 = -f - 4*w + 90, 4*f - z = -4*w - 173. What are the prime factors of f? 2, 53 Suppose -5*m - 3*w = -273 - 109, 0 = 3*m + 3*w - 234. List the prime factors of m. 2, 37 Suppose -4*f + 1100 + 316 = 0. Suppose 3*z + f = 9*z. Suppose 27 = 2*b - z. List the prime factors of b. 43 Suppose 5*f + 15 = -5*h, 0 = -3*f - 0*f - 5*h - 15. Suppose v + 1 = 6. Suppose f = -5*q + 4*u + 32, -3*u = v*q - 6*q + 2. List the prime factors of q. 2 Suppose 9*g - 5173 - 281 = 0. List the prime factors of g. 2, 3, 101 Let g be (-11968)/(-14) + (-3)/(-21). Suppose 0*p = 9*p - g. List the prime factors of p. 5, 19 Suppose 0 = 5*m - 4*h - 5290, -2*m - 2*h + 1187 = -947. What are the prime factors of m? 2, 3, 59 Let d = 1946 + -706. List the prime factors of d. 2, 5, 31 Let m(b) = 2*b**2 - 20*b + 269. What are the prime factors of m(14)? 3, 127 Suppose -3*x + 12535 - 3340 = 0. List the prime factors of x. 5, 613 Let h(b) = 3*b - 5*b**2 + 4 + 6*b**2 - 16 + b. List the prime factors of h(-7). 3 Let z = -69 - -69. Suppose z = -5*u + 4*u + 198. What are the prime factors of u? 2, 3, 11 Let s(v) = -88*v**3 + 5*v + 4. Let z(k) = -88*k**3 - k**2 + 6*k + 5. Let p(u) = 3*s(u) - 2*z(u). List the prime factors of p(-1). 89 Suppose 0 = 453*l - 447*l - 8814. What are the prime factors of l? 13, 113 Let c = 1652 - -1401. List the prime factors of c. 43, 71 Let o(b) = -b + 21. Let p be o(-9). Let j = p + -4. Suppose -5*y = -d + 5*d - 131, 0 = d - y - j. What are the prime factors of d? 29 Let i be (-2)/(-1) + 14 + 1 + -2. Let r be (-2)/(-4) + 33/6. What are the prime factors of 295/i - (-2)/r? 2, 5 Let p = 1868 - 1800. Suppose -3*b = -8 + 2. Suppose -4*w + p = -b*w. What are the prime factors of w? 2, 17 Suppose 0 = -11*t + 6*t + 3550. What are the prime factors of t? 2, 5, 71 Suppose -107*c + 109*c - 3104 = 0. List the prime factors of c. 2, 97 What are the prime factors of (4/10)/(2/2230)? 2, 223 Suppose 4*g + 1 = 13. Suppose -5*a + 57 = -2*a - g*i, 0 = -2*a + 3*i + 43. List the prime factors of a. 2, 7 Suppose x = 3*s - 0*s - 1224, -416 = -s + 3*x. List the prime factors of s. 11, 37 Let d = 2850 + -1542. Suppose -6*l - 306 = -d. List the prime factors of l. 167 Suppose -4*q - 8 = 0, -2*r - 3*q - 10 = -0*r. Let f = 9 + r. Suppose -10*o + f*o + 54 = 0. What are the prime factors of o? 2, 3 Let o(y) = y**3 + 10*y**2 + 7*y + 11. Let d(k) = -3*k + 3. Let i be d(-6). Suppose -3*l - i = -2*v, -5*v = l - 0*v + 24. What are the prime factors of o(l)? 29 Suppose 2*i = -2*i + 4680. Suppose -28*c = -34*c + i. What are the prime factors of c? 3, 5, 13 Suppose 4348 = -9*y + 14329. What are the prime factors of y? 1109 Suppose 4*u + 78 - 16 = t, -4*t + 200 = -4*u. Suppose -5*x = -5 - 10. List the prime factors of t/4 - x/(-2). 13 Suppose 0 = -1196*v + 1200*v - 7000. What are the prime factors of v? 2, 5, 7 Suppose 5*w - 4*x = 13, -2*w + 3*x + x = 2. Suppose 4*c - 12 = -3*d + 3, 0 = -w*d + c + 25. Suppose -3*y - 36 = -d*y. List the prime factors of y. 2, 3 List the prime factors of (75/4)/5*(54 + 10). 2, 3, 5 Let b(f) = f**3 + f**2 + 2*f - 2. Let n be b(3). Let m(s) = -s**3 + 10*s**2 - 8*s + 7. Let o be m(9). Let z = n - o. List the prime factors of z. 2, 3 Suppose -4*x - 18 = 5*x. What are the prime factors of (x - 148)/(6/(-12) + -1)? 2, 5 Suppose -z - 99 = 5*n, n + z + 15 = -4. Let m = -11 - n. List the prime factors of m. 3 Suppose 5*o + 4 = -226. Let l(w) = 14*w + 11. Let k be l(-8). Let n = o - k. List the prime factors of n. 5, 11 Suppose 2*o = -3*o - 30. What are the prime factors of (-3)/2 + (-141)/o + -5? 17 Let r be -3 - ((-53 - 0) + 2). Let s = r - -11. What are the prime factors of s? 59 Let b = 76 + -51. Suppose s - b = 6*s. Let l = s + 18. List the prime factors of l. 13 Let q(n) = 31*n**2 - n + 7. List the prime factors of q(4). 499 Suppose 5*q - 2098 = q + 2*m, 1546 = 3*q + 4*m. List the prime factors of q. 2, 3, 29 Suppose 0 = 213*h - 216*h + 1506. What are the prime factors of h? 2, 251 Let z(a) = -3*a + 6. Let q be z(-4). Suppose 3*n = -2*l + l - q, -3*n - 30 = 5*l. Let g = 27 + l. What are the prime factors of g? 2, 3 Suppose -2*n + 3*r + 25 = 0, -3*n + 5*r = -8*n + 125. Let d be 48/n - 2/5. Let v(y) = y**3 + 1. List the prime factors of v(d). 3 Let y(z) = -56 + 6*z + 56. Let g be y(6). Let c = g + -8. List the prime factors of c. 2, 7 Let b(p) = -69*p**2 + 3*p + 10. Let u be b(-8). What are the prime factors of (-4)/34 - u/85? 2, 13 Let p(r) = -r**2 + 12*r - 11. Let q be p(9). Suppose 0 = -0*l - 4*l + q. List the prime factors of 2*l*(-68)/(-16). 2, 17 Let n(r) = r**3 + 6*r**2 + 14. Suppose -6*v - 24 = 12. List the prime factors of n(v). 2, 7 Let w = 366 + -257. Suppose v = -3*d + 277, 3*v = -d + 6*v + w. What are the prime factors of d? 2, 47 Let n(t) = -1. Let r(d) = 85*d + 8. Let j(g) = 4*n(g) + r(g). What are the prime factors of j(1)? 89 Suppose -2*s = z - 1019, -s = -z - 0*z + 1022. List the prime factors of z. 1021 Suppose 0*i + 35*i - 46935 = 0. List the prime factors of i. 3, 149 Suppose 5*b = 5*q + 20620, -4*b + 36*q = 40*q - 16496. List the prime factors of b. 2, 1031 Let w be (-14)/(-21) - 1/(-3). What are the prime factors of (23/w)/((-5)/2 - -3)? 2, 23 Let x be 0/(-2) + (7 - -1). Suppose -6*z + 5*z + 8 = 3*w, -5*w - 3*z = -x. Suppose 1 + 27 = w*c. What are the prime factors of c? 7 Let a be (5/(-10))/((-2)/12). Suppose t - 2*g - 518 = -4*t, 2*t - 4*g = 204. Suppose 4*l = -a*f + t, 134 + 49 = 5*f - 3*l. What are the prime factors of f? 2, 3 Suppose -2*a + 16 = j, -a - 44 = -4*j - 4*a. Let b be (-10)/70 + 40/(-14). What are the prime factors of (j/24)/(b/(-459))? 3, 17 Let b = -233 + 390. What are the prime factors of b? 157 Let y = -265 - -131. Let k = y + 269. List the prime factors of k. 3, 5 Let y = -1172 + 1583. What are the prime factors of y? 3, 137 What are the prime factors of 159978/350 + (-8)/100? 457 Let f(h) = h + 1. Let u be f(0). Let c(m) = 10*m**2 - 3*m**2 + 76 - 77. List the prime factors of c(u). 2, 3 Suppose 3*y - 3 = -3*r, -2*y - 4*r = -3*y - 19. List the prime factors of 211 - ((-6)/y - 1). 2, 3, 5, 7 Let f(s) = 143*s + 121. List the prime factors of f(9). 2, 11 Let t(f) = 3*f**3 + 1. Let y be t(1). What are the prime factors of (-1)/((y/118)/(-2))? 59 Suppose -3*y = 40 - 46. Suppose 4 = -4*x, 0*p = -y*p + 3*x + 341. What are the prime factors of p? 13 Suppose 6*x - 3582 = -3*x. What are the prime factors of x? 2, 199 Suppose o = 2*s - 8, 2*s + 0*o - 4 = 3*o. Suppose b = -5*q + s*b + 248, q + b = 55. List the prime factors of q. 2, 13 Suppose 14 = u + 56. Let h = u + 63. What are the prime factors of h? 3, 7 Let t(d) = 3*d**2 + 2*d - 1. Let y be t(-3). Suppose -12*r - 664 = -y*r. List the prime factors of r. 83 Let p(q) = q**3 - 5*q**2 - 2*q - 6. Let h be p(7). Let c be (-12)/3 - h - 1. Let y = c - -132. What are the prime factors of y? 7 Let i(s) = s**2 - 9*s + 16. Let x be i(7). Let f be 2/x - (3 + 70). Let d = -45 - f. What are the prime factors of d? 3 Suppose -17*o + 2148 = -9276. What are the prime factors of o? 2, 3, 7 Suppose -2*o - 146 = f + 2*o, 3*o = -5*f - 696. Let m = f - -349. List the prime factors of m. 211 Let p(s) = 11 - 52*s - 45*s + 105*s. List the prime fact
{ "pile_set_name": "DM Mathematics" }
4*z = -20, z = 5. Solve -q - w + 1 = -d, 3*w - 11 = -5*q for q. 4 Let f be (-1)/(2/12*-1). Let o = 7 + -16. Let r(z) = -z**2 - 10*z - 4. Let t be r(o). Solve -8*d = -f*d - 5*c + 18, t*d = -4*c - 12 for d. -4 Let r(b) = -b + 1. Let k be r(-3). Let n(g) = -g**2 + 5*g - 1. Let w be n(k). Solve 4*t + 2 = 3*d - 3, 40 = -5*t - w*d for t. -5 Let q(d) = d**3 - 2*d**2 + d + 1. Suppose 5*m - 12 = m. Let h be q(m). Let o be (42/9)/(1/3). Solve -o = -b + 5*g, 2*b - 4*b + 5*g = -h for b. -1 Let y = 9 - 10. Let p = y + 2. Let g = 5 - p. Solve g*o - 18 = -2*a, 0 = -4*o + 4*a + 22 + 2 for o. 5 Let c(j) = -2*j**2. Let i be c(-1). Let v be (1 + i)*-1 + 3. Solve 0*z + v*n = 3*z - 1, 0 = z - 3*n - 2 for z. -1 Let o be (-6)/4 - 30/(-4). Let q be 0 + -5*o/(-15). Solve 4*a + 13 = -a - q*s, 4*s = 4 for a. -3 Let t be (4/2 - 8)*-1. Suppose 5*f - t = 4. Solve -3*y - 12 = -f*k, -4*k + k = 0 for y. -4 Suppose -3*j - 4*s = -2*j + 13, -5*s = 20. Solve j*h + t + 4 = 5, -5*h = 4*t + 3 for h. 1 Suppose -v + 260 = v. Let g = v + -82. Suppose -2*b + 4*t + 44 = t, 2*b = 2*t + g. Solve -4*p - b = 2*i, 0 = 2*p - p - 2*i - 3 for p. -5 Let r be 16/20*(-10)/(-4). Let u(h) = -h + 1. Let q be u(-3). Solve f + p = -r*p + 1, -4*f = q*p - 4 for f. 1 Let n = 0 - 0. Let i be (n/(3 + -1))/2. Suppose -j - 4*c + c = 15, i = -4*j + 3*c + 15. Solve g + 5*z + 18 = j, -14 = -4*g + 3*z + 6 for g. 2 Let f(c) = -c**3 - c**2 - c - 22. Let g be f(0). Let l = g - -24. Solve w - 2*q = -w - 8, 2*q = -l*w for w. -2 Let p = 32 + -28. Solve -p*q + 8 = -w - 3*w, -4*q - 4*w + 24 = 0 for q. 4 Let w(k) = -3*k - 8 + 7*k - 3*k. Let x be w(11). Suppose -j - j - 11 = 3*f, x*j = -f + 1. Solve s + 21 = -4*b, -s + j*s = -b - 9 for s. -5 Suppose 59 = -10*h + 279. Solve -3*g - 19 = -2*x + 6*x, 0 = 2*g + 5*x + h for g. -1 Suppose -4*w + 3*w + 8 = 0. Solve 0 = 3*y + 2*k + w, 5*y + k - 1 = -5 for y. 0 Suppose -3*g + 6*g = 12. Let x be g/6 - (-84)/9. Let z be (1 - (-2)/(-2))/2. Solve b + z*c = c - x, 2*b = -c - 5 for b. -5 Let d = 5 + 2. Suppose 0*c + 3*t - d = 4*c, 4*c + 4*t = 28. Suppose p + c*u = 6*p - 70, 2*u + 38 = 3*p. Solve -r + 9 = 3*b, 0*r - 4*r = -b + p for r. -3 Suppose 0 = 3*u + 5*w - 2, -2*u = -w - 3*w - 16. Solve -29 = 4*a + a - u*q, -3*a + 3*q = 18 for a. -5 Let c(y) = -4*y + 9. Let v(s) = 3*s - 8. Let h(p) = -2*c(p) - 3*v(p). Let g be h(4). Solve -f + 4 = 3*r, -2*r + 0 - g = 3*f for f. -2 Let z be (20/(-3))/((-4)/6). Let q be z/(-45) - (-20)/9. Let v be (-2 - -3) + q + 0. Solve 3*u = v*y, -5*u = 1 - 16 for y. 3 Suppose 0 = -2*k - 3*k + 10. Let m be k - ((-2)/(-2) - 1). Solve -q - 2*q - 6 = 0, -2*h - 4*q + m = 0 for h. 5 Let n(o) = -o**3 - 7*o**2 - o - 4. Let z be n(-7). Solve 4*c - z*v = -c - 30, -2*v = -c - 13 for c. -3 Let w(d) = -d**2 - 7*d + 7. Let i be w(-7). Solve 2*g - 2*x - i = -5*x, 3 = g + 2*x for g. 5 Let d be (-5 + 4 - -3)*1. Solve d*k - 5*y = -20, -k = -4*k + 2*y - 8 for k. 0 Let v = -1 + 3. Suppose k - v*k = -10. Solve -2*t = -h - 8, -5*h + 4*t = 9*t + k for h. -4 Let l be (-9)/(-15) - (-12)/(-20). Solve -3*y + 0*q - 16 = -q, -5*y + q - 26 = l for y. -5 Suppose -5*h - 5 = -75. Solve 5*r = -5*s + 1 + 19, 2*s + 4*r = h for s. 1 Suppose 0 = 2*v + 5*m - 7, -4*v - 5*m + 3 = 14. Let h = 12 + v. Solve 5*q - 2*y + 26 + 3 = 0, 0 = -3*q + h*y - 21 for q. -5 Suppose -4*h + 49 = -3*a + 16, -5*a = -3*h + 33. Solve n = 3*g - h, -4*n + 9 + 1 = 5*g for n. 0 Let i(s) = 14*s + 1. Let m be i(1). Suppose -5 = 2*n + v, -n - 3*v - m = -0*v. Suppose q - 6*q = n. Solve -4*g - g - 3*d + 13 = q, -2 = -2*d for g. 2 Let w be (-8)/(-6)*3/1. Suppose -3*d = -4*z + 6 + 18, -4*d = -3*z + 25. Solve 3*p - 17 = 2*u, w*u = z*p + p - 28 for u. -4 Let m(g) = g**2 + 4*g - 3. Let z be m(1). Solve z*u + 9 = 3*h, -6*h = -7*h + 3*u - 4 for h. 5 Let f = 17 + -13. Solve 0 = -f*c - y + 4*y + 4, 4*y + 6 = 5*c for c. -2 Let y = -90 + 90. Solve 5*b - 2*m - 17 = y, 5*b - 6*m - 18 = -3*m for b. 3 Suppose 5*x - 3*i + 85 = 0, -27 = 2*x + i + 18. Let o be (2/1 + -3)*x. Solve -5*z + q = 3 + 10, 4*q - o = 4*z for z. -2 Suppose -6 = -3*m + 3. Solve 0 = 2*n, -5*n + 9 + m = 3*o for o. 4 Let x = 23 - 23. Solve -3*h + 0*h - 6 = x, h = 2*k + 4 for k. -3 Let z = 7 - 4. Suppose 0 = t - 3*c - 15, 3*t - 6*c = -5*c + 61. Solve 0 = -z*r - 4*g - 8 + t, -4*r + g - 8 = 0 for r. -1 Let o(c) = -c - 12. Let v be o(-12). Suppose -2*l + 6*l - 8 = v. Solve 4*z - 20 = 2*y - 6, -z - y + l = 0 for z. 3 Let a(d) = -d + 3. Let r be 2 + 3 + 4/(-1). Let z be a(r). Solve 0 = m + 3*l + 7, -m - 1 - 1 = -z*l for m. -4 Suppose 4*i = 5*f - 2*f + 12, -5*f - 2*i = 46. Let s = -5 - f. Solve 3*h = s*u + 3, 3*u = -u + 2*h - 10 for u. -4 Let t(b) = -b + 1. Let u be t(-9). Suppose -3*l = -u + 1. Suppose -w - 8 = -l*w. Solve -2*o - 4 = -0*o - 2*j, w*o = -3*j + 6 for o. 0 Let g = 35 - 35. Solve -3*f + 6 = -g*y + 5*y, f = 2*y - 9 for y. 3 Suppose 5*w - 5*h - 10 = 0, -3 = -w + 2*h - 2. Suppose c = -w*c. Solve 20 = -4*r - 2*l, c = 5*r - 3*l + 1 + 24 for r. -5 Suppose 4*h + 160 = -3*f, 3*f + 154 = -h - 12. Let t be (-52)/(-14) + (-16)/f. Solve -4*c = t*k - 2*c + 14, 14 = -5*k + c for k. -3 Suppose 2*p + 0*p - 3*w = -11, 23 = -3*p - 2*w. Let l = p - -12. Solve -3*q = -3*r + 3, l*r + 3*q + 40 = -q for r. -4 Suppose 3*x - 4 = -5*d + 17, -x - 10 = -4*d. Solve 2*u + x*z - 8 = -0*u, -3*u + 8 = -z for u. 3 Let x = -4 + -104. Let r = -60 - x. Let p be (2 - r)/(-2) + 2. Solve -3*o + 23 = 4*m + 3, 5*m = o + p for m. 5 Let n(w) be the third derivative of -w**5/60 + 7*w**4/24 + 5*w**3/3 - 3*w**2. Let q be n(8). Solve l - 6*l = q*t + 30, 35 = -5*l - 3*t for l. -4 Let u be (-9)/(-18) - 10/4. Let x be (u/(-1))/(8/16). Solve -5*f = x*n - 37, 3*n + 3 = 2*f + 2 for f. 5 Let i = -2 + 7. Suppose 0 = i*a + 3 - 18. Solve 15 = 6*s - a*s + 2*d, 20 = 4*s - d for s. 5 Suppose 5*l = 4*v + 5 + 6, 2*l = 2*v + 4. Suppose 6 = 3*g - l. Solve -g*x = -3*c + 15, 5*c + 4*x = 2*c + 15 for c. 5 Suppose c - 4 = -0. Let w be ((-3)/4)/(-3) - 165/(-44). Solve 3*g = -r - 9, 0*g + w*g + 28 = c*r for r. 3 Let h(v) = v**3 + 3*v**2 - 4*v + 3. Let u be h(-4). Solve b + 7 = c + 2, -3*c = 3*b + u for c. 2 Let z(y) = 124*y**2 + 2*y - 1. Let w be z(1). Suppose -2*i + w = 3*i. Suppose 0*s = 5*s - i. Solve -b = -0*b - 2*m + 7, 0 = -s*b + 3*m for b. 3 Let o be 6/(-1)*(-3)/2. Let g(k) = -k**2 - 5*k - 8 - o*k + 2*k. Let u be g(-11). Solve -3*i = -15, 2*a + u*a + i = -10 for a. -3 Let c(f) = f**3 + 6*f**2 - 1. Let j be c(-6). Let z be (2 + (-1)/j)*1. Solve -z*s - 2*k = 11, 14 = -3*s - 2*s + k for s. -3 Let z be (-10)/5*9/(-2). Suppose 0 = -n + 3*d - z, 4*n + d - 3 + 0 = 0. Suppose -4*t + n*t + 28 = 0. Solve 0 = -i + 5*o + 8 - 4, 2*i = -5*o - t for i. -1 Suppose 2*a = 1 + 3. Suppose 0 = -k - 0 + a. Solve -2*q = z, -3*q = -k*z + 5*z + 3 for q. 1 Suppose 6 = i + 4. Suppose -i*g - g = -12. Suppose -g*j - j + 110 = 0. Solve 4*h = -y - 11, 0 = -3*h - 2*h - 4*y - j for h. -2 Let v be (-1)/2*(21 - 23). Solve -2*j - v = -3*j + o, 5 = 5*j + 3*o for j. 1 Suppose 4*c + 24 = 3*s + c, 36 = 5*s - 4*c. Suppose a - v - 6 = 8, s*a + 5*v = 38. Suppose -4*p + 8 = -a. Solve -5*q = 2*t + 19, -4*t + t = -p*q - 9 for t. -2 Let r(u) be the second derivative of -1/12*u**4 + 0 - 2/3*u**3 - 3*u + 1/2*u**2. Let w be r(-3). Solve -11 = 3*d + j, -3*j - 11 = w for d. -2 Let n be (1 + -1)/(4 - 3). Suppose h + 4*h - 20 = n. Solve 3*u - 5 = 3*s + h*u, 2*s + 3 = -u for s. -2 Let z(t) = t**3 + t**2 - 3*t - 1. Let l be z(-2). Let a = 1 + l. Solve 0 = -4*d - 2*c - 2 - 24, a*d + 3*c = -23 for d. -4 Let g(r) = -r**3 - 9*r**2 + 10*r. Suppose -18 - 2 = 2*p. Let m be g(p). Solve -4*j - 3*c + 2*c + 13 = 0, m = -j - 2*c - 2 for j. 4 Let b be 24/9*30*1/8. Let v be 3/(-12) + (-93)/(-4). Solve 0 = 2*f - b, 2*f - v = -3*h - 2*f for h. 1 Suppose -8 = 4*u + 4*w, -2*w = -5*u + 2*w + 17. Let g be u/3*36/6. Solve -8 = -5*q - 2*v, g*q = -7*v + 2*v + 20 for q. 0 Let x(h) = 4 - 4 - 3 + 2*h. Let y be x(3). Solve -i = -2*m - 2*i + 1, y*m - 5*i = -18 for m. -1 Let j be (-10)/(-15) + (-110)/3. Let u = -6 - j. Solve 5*o = 3*w - u, 2*o - 3*o - w = -2 for o. -3 Let h = 10 - 8. Suppose -x = -6*x - 5. Let g be x*9/(-3)*1. Solve -h*q - 7 = -5*q - k, 5*q + g*k = 17 for q. 1 Let b(r) = -r**3 + 6*r**2 - 4*r + 2. Let p be b(2). Solve -31 = -4*q + 3*d - p, -3*d - 15 = -2*q for q. 3 Let m be ((-21)/(-14))/(9/66). Solve p
{ "pile_set_name": "DM Mathematics" }
ivative of 36898855*l + 12339608? 36898855 What is the derivative of -945950*b**3 - 11402262? -2837850*b**2 What is the first derivative of -2114*c**2 - 1455*c + 7265549 wrt c? -4228*c - 1455 What is the second derivative of -1063*k**5 - 18417*k**2 - k + 140076415? -21260*k**3 - 36834 Find the second derivative of 85*g**3*s - 663*g**3 + 31*g**2*s - 886812*g*s - 12*g wrt g. 510*g*s - 3978*g + 62*s Find the second derivative of -22743118*y**4 - 20745718*y. -272917416*y**2 Find the second derivative of -3818862*y**3 + 99721*y - 11. -22913172*y Differentiate 16066634*h**3 - 13435846 wrt h. 48199902*h**2 What is the second derivative of 6*u**2*x**3 - 66*u**2*x - 6739*u**2 + 3*u*x**3 - 2254*u*x**2 - 3*u - 40 wrt u? 12*x**3 - 132*x - 13478 Differentiate -1065741*k**2*q + 58*k*q - 193199388*q with respect to k. -2131482*k*q + 58*q What is the derivative of -41544641*f - 17122490? -41544641 Differentiate -4240709*q**3 - 4782730. -12722127*q**2 Find the second derivative of -92676*p**3*s**3 - p**3*s**2 - 521*p**3*s + 2*p**2 - 6*p*s - 34*s**2 + 247 wrt s. -556056*p**3*s - 2*p**3 - 68 What is the second derivative of -2482353*p**4 - 2*p**3 + 11497900*p wrt p? -29788236*p**2 - 12*p Differentiate 846894*f*h**4 - 114*f*h - 6*f - 12331793 with respect to h. 3387576*f*h**3 - 114*f Find the first derivative of 116320316*m - 317246665. 116320316 What is the third derivative of 29483279*a*p**3 - 37*a*p**2 - 2*a*p + 99070*a + p**2 + 2 wrt p? 176899674*a Differentiate -512853*h**2 + 98*h - 80332899 with respect to h. -1025706*h + 98 What is the second derivative of -148158411*h**4*j - h*j + h - 2*j + 2593684 wrt h? -1777900932*h**2*j Find the second derivative of 6361620*f**3 - 1429594*f. 38169720*f Find the second derivative of -4651378*m*y**2 + 2*m*y - 3*y - 2051552 wrt y. -9302756*m Find the third derivative of -72814228*g**3 - 24517*g**2 + 186*g + 1. -436885368 Find the third derivative of -l**6 + 2882466*l**4 - 780*l**2 - 169*l wrt l. -120*l**3 + 69179184*l Find the second derivative of -149264928*i**5*o + 618079*i*o + 88*i wrt i. -2985298560*i**3*o Find the second derivative of -2*q**3 - 51850587*q**2 + 235763926*q wrt q. -12*q - 103701174 Differentiate -9*a*w - 21213*a*y + 6*a - 198*w*y - 21*w + 2550 wrt y. -21213*a - 198*w What is the derivative of -3*g*o**2 + g - 31834647*o**2 - 11516764 wrt o? -6*g*o - 63669294*o Find the first derivative of -1339568*g**3 + 5*g**2 + 23213086 wrt g. -4018704*g**2 + 10*g Differentiate 1072*s**3*w - 45*s**3 - 62642*s**2 + 36218*s*w**4 - 1 wrt w. 1072*s**3 + 144872*s*w**3 Differentiate 90333324*w - 135254526 with respect to w. 90333324 Find the first derivative of -22*o**4*w**2 + 104389*o**2 + 8230701*w**2 wrt o. -88*o**3*w**2 + 208778*o What is the second derivative of 205059*n**3 + n**2 + 6957916*n? 1230354*n + 2 Find the second derivative of 1459*x**5 - 35271*x**3 - 100*x + 2052180 wrt x. 29180*x**3 - 211626*x What is the second derivative of 221772584*f**3*q**2 - 35*f**3*q + 164*f**2*q + 6938*q wrt q? 443545168*f**3 Find the second derivative of 4*j*k**2 + 12*j*k - 636134*j - 1419*k**3 - 165*k**2 wrt k. 8*j - 8514*k - 330 What is the second derivative of 318793195*b**3 + 363618594*b wrt b? 1912759170*b What is the first derivative of -5040*c**3 - 1743*c**2 + 3356653 wrt c? -15120*c**2 - 3486*c Find the first derivative of -8552*s**3*z + 3*s**2*z**2 + 2*s - 4*z**2 + 70928*z + 1 wrt s. -25656*s**2*z + 6*s*z**2 + 2 Differentiate -1490828463*x + 67765409 with respect to x. -1490828463 Find the second derivative of -2*v**4 + 212219*v**3 - 23*v**2 - 141269571*v wrt v. -24*v**2 + 1273314*v - 46 What is the third derivative of 7863987*d**3*m**2 - d**2*m**2 + d**2*m - d*m**2 + 29*m**2 + 7959 wrt d? 47183922*m**2 What is the derivative of -11759575*r*y**2 - 7250090*r wrt y? -23519150*r*y Find the second derivative of -120131492*c**2*z**2 + 3*c**2*z + 660*c**2 - c*z - 4*c - 2*z**4 - 2 wrt z. -240262984*c**2 - 24*z**2 Find the third derivative of 81*x**5 + 3559*x**4 - 144*x**3 - 489252893*x**2. 4860*x**2 + 85416*x - 864 Differentiate -k**2 + 6793349*k - 27375729. -2*k + 6793349 Find the first derivative of -11645618*j**2 + 14*j - 35051175. -23291236*j + 14 Find the first derivative of 410515921*m*n**3 - 812*n**3 + 6*n - 1513 wrt m. 410515921*n**3 What is the second derivative of -8134*d**4 - 6*d**3 - 121*d**2 + 30406654*d wrt d? -97608*d**2 - 36*d - 242 What is the second derivative of -37096002*w**4 + 1884533*w + 8? -445152024*w**2 Find the first derivative of -5013502*h**4 - 2*h**2 - 36341576. -20054008*h**3 - 4*h What is the second derivative of 2*v**5 + v**3 - 4567504*v**2 + 342*v - 36642? 40*v**3 + 6*v - 9135008 Differentiate 89630007*j**3*q - 123866117*j**3 - j**2*q - 3*j**2 - 2 wrt q. 89630007*j**3 - j**2 Find the third derivative of -2*o**5 + 51909*o**4 - 10751*o**2 + 944. -120*o**2 + 1245816*o What is the second derivative of -6*f**4 + 1364485*f**2 - 1479180*f - 2 wrt f? -72*f**2 + 2728970 Differentiate 3633096*g*l**2 - g*l + 17*g - 27660584*l**2 with respect to g. 3633096*l**2 - l + 17 What is the second derivative of 22269659*u**3 + 20255756*u wrt u? 133617954*u Find the second derivative of 19182983*u**2 + 1413202*u. 38365966 Find the second derivative of -7151411*m**2*q + 2*m**2 + 1417732*m*q - 2*m - 5 wrt m. -14302822*q + 4 Find the first derivative of -173176*i**4 - 55*i**3 + 173854432. -692704*i**3 - 165*i**2 Differentiate -l**4 + 485*l**3 - 607*l**2 - 3418122 wrt l. -4*l**3 + 1455*l**2 - 1214*l What is the first derivative of 111185577*p*r**3*s + 32208*r**3*s - 33*r**2 + 16*r*s wrt p? 111185577*r**3*s What is the second derivative of -58581*l**3 + 33*l**2 - 63889568*l wrt l? -351486*l + 66 Find the first derivative of -459657374*h**2*o**2 - 62003*h**2 + 444*h + 1 wrt o. -919314748*h**2*o Find the third derivative of 34425763*n**4 - 6769*n**2 + 575*n wrt n. 826218312*n What is the second derivative of 569976*j**2*w - 4*j**2 - 2*j*w - 42140*j - 2*w - 22 wrt j? 1139952*w - 8 What is the first derivative of 8*l**2*p - 539*l**2 - 347430*l*p**2 + 8*l - 50 wrt p? 8*l**2 - 694860*l*p Find the second derivative of -285733505*t**2 + 763738795*t wrt t. -571467010 What is the third derivative of 121*a**6 - 14357*a**5 - 2*a**3 + 2756214*a**2 - 4? 14520*a**3 - 861420*a**2 - 12 Find the third derivative of -203175078*o**3 + 33203*o**2 - 1233 wrt o. -1219050468 Find the third derivative of 555497*n**6*v**2 + 18*n**3*v**2 + n**2*v**2 - n**2 - n*v**2 + 20504*n*v - 2*v**2 wrt n. 66659640*n**3*v**2 + 108*v**2 Differentiate d**3*l*t + 4*d**3*l - 5*d**2*l*t + 4*d**2 - 493003*d*l*t - 2997*d*l + d + 4 with respect to t. d**3*l - 5*d**2*l - 493003*d*l What is the derivative of -34*w**4 - 86*w**3 - 533*w + 9514013? -136*w**3 - 258*w**2 - 533 What is the third derivative of -99*r**5 + 154*r**4 + 23*r**3 + 109*r**2 - 46*r + 152? -5940*r**2 + 3696*r + 138 What is the third derivative of -2*a*g**3*n + 6*a*g**3*r**3 + 404*a*g**2*n*r**2 - 2*a*g**2*n + 1004*g**3*n*r + 128*g**2*r**3 + 2*n*r - 4*r**2 wrt g? -12*a*n + 36*a*r**3 + 6024*n*r What is the third derivative of 1073341*l**4 - 2*l**3 + 567237*l**2 + 4 wrt l? 25760184*l - 12 What is the first derivative of 77813325*n**3 - 54124830? 233439975*n**2 What is the second derivative of -35237*w**3 + 5574*w**2 + 90*w - 2893057 wrt w? -211422*w + 11148 What is the third derivative of -t**5 - 295930560*t**4 + t**2 - 139531337 wrt t? -60*t**2 - 7102333440*t What is the second derivative of -32*r*w**3 + 3055*r*w**2 + 231*r*w + 2*w**3 + 13*w**2 - 48551*w wrt w? -192*r*w + 6110*r + 12*w + 26 Find the first derivative of -67227263*d**3*i**2 + 2*d**3 + 13798066*d**2 - 2*d*i**2 + 2*d + 1 wrt i. -134454526*d**3*i - 4*d*i Find the second derivative of -259377468*p**2 + 84120348*p wrt p. -518754936 What is the derivative of -169038*y**2 + 133012303 wrt y? -338076*y Find the first derivative of -217846126*q**3 - q**2 + 244869988. -653538378*q**2 - 2*q What is the third derivative of -5*p**4 - 9111187*p**3 + 8*p**2 + 870145*p? -120*p - 54667122 What is the derivative of -12952683*b*i**3 - 133*i**3 - 298*i**2 - i - 10 wrt b? -12952683*i**3 What is the derivative of -46*d**2*f - 9*d**2*s - d**2 + 10*d*f - 13*f*s + f - 4451*s + 29512 wrt s? -9*d**2 - 13*f - 4451 What is the derivative of -31*z**3 + 108*z**2 - 1313*
{ "pile_set_name": "DM Mathematics" }
))/((o**(1/5)*o)/o*(o*o**(-2/7))/o*o)*(o**0)**(-8)/(o**(-5/3)/(o/((o*o**(-2))/o))) assuming o is positive. o**(1501/420) Simplify (l/(l/l**(4/5))*l)/(l/(l*l**8)*l*l)*l**(6/11)*l*(l/l**(-9)*l)/l*(l**2)**(-30)*(l*(l/(l*l*l**0))/l)**(-13/7) assuming l is positive. l**(-14937/385) Simplify ((h**(-3)/h**(-4))/(h**0)**(1/5))/(h**(-3/8)*h**2*(h**(-1/6)/h)/(h*(h/(h**(-1/3)/h))/h*h)) assuming h is positive. h**(31/8) Simplify (((((c*c**(-10)*c)/c)**(-43))**(-6))**(-20))**(-2/21) assuming c is positive. c**(-30960/7) Simplify (z**(16/7)/(z/(z/(z/z**(-2/21)))*z)*(z**(3/19))**(19/3))**(-2/103) assuming z is positive. z**(-50/2163) Simplify ((h/((h/h**(-1))/h))**(-2/17)*(h*h**(-5/2)*h)/h**(-6))/(h**(-1/6)*h/h**0)**35 assuming h is positive. h**(-71/3) Simplify ((g/(g*g*g**(-8/5)*g))**6*(g*(g**(4/7)/g)/g)**(-40))**(-13/2) assuming g is positive. g**(-3354/35) Simplify (((y**(3/7)*y)/(y/(y**(-3/5)*y)))/((y*y**16/y)/y)**30)**17 assuming y is positive. y**(-267257/35) Simplify (l**(2/59)/l*l)**(-21)/(l**(-5/3)*l*l*(l**(-7)/l)/l) assuming l is positive. l**(1408/177) Simplify ((z*z/(z**(-3/2)/z))**(1/26)*(z**21*z)/z*z*(z*z/(z**(15/2)/z)*z)/z)**(-46) assuming z is positive. z**(-21137/26) Simplify ((t**(-1/4))**(-2/23)*t**(-1/7)/(t/(t*(t**0*t)/t)*t))/(t**(-1/2)/((t/(t*t*t/(t**5*t)))/t))**(-3/10) assuming t is positive. t**(-6991/3220) Simplify ((v/(v*v**1/v))/(v**(-1)/v))**(-1)/((((v/(v*((v**8*v)/v)/v*v))/v)/v*v**(-3/4)*v)/((v/((v/v**(-6))/v))/(v**4/v))) assuming v is positive. v**(-1/4) Simplify (h/(h/(h/(h/(h**(-35)/h)*h*h))))/h**(-30)*(h*h*h**17)/(h**(-37)/h) assuming h is positive. h**49 Simplify ((s/(s**11*s*s)*s*s/(s**(-17)/s*s))**(-4/21))**(-2/33) assuming s is positive. s**(8/99) Simplify ((((r*r**(-9)*r*r)/(r*r*r*r**(-1/9)))/(r**0*r/(r*r**(-11))))**(16/5))**(-2/37) assuming r is positive. r**(5728/1665) Simplify ((((x**39)**(1/3))**(22/5))**47)**(-50) assuming x is positive. x**(-134420) Simplify q**(-1)*q/(q*q*q*q**(-1/3))*q*(q*q**(-2/9)*q*q)/q**(5/4)*(q**(-1))**(-17)/(q/((q**(-1/3)*q*q)/q)*q)**(2/11) assuming q is positive. q**(6581/396) Simplify ((y**(1/8)/y)**(-20/7)*y**7*y**(-1/18))**(-42) assuming y is positive. y**(-1190/3) Simplify n*(n*n**4)/n*n**7*(n*n*n*n*n**0*n)**(-5/4)*((n*(n**(-1)/n)/n)/(n*n**(-4)/n*n))/((n/(n**(-2/19)/n))/(n*n/(n**(-1/8)*n))) assuming n is positive. n**(877/152) Simplify (n**(-6/19)*n*n*n)**(3/8)/(n**(-24)*n)**(4/33) assuming n is positive. n**(19033/5016) Simplify ((n*n**(1/2))/(n**(-1/6)*n)*(n*(n/((n/(n*n/(n/n**(-3/8)))*n)/n))/n)/n*n**6)/((n**0)**(-46)/(n/n**0*n*n**5)) assuming n is positive. n**(319/24) Simplify ((l*l**(-4)/l)/(l*l**(1/10)))**50/((l**0)**2/(l**(-1/4)/((l*l/(l**(-5)*l))/l*l))) assuming l is positive. l**(-1045/4) Simplify ((g*g**4*g)/g*g*g*g**(-6)*g*g**6*g*g**7)/((((g*g/(g*g*g**1*g))/g)/g**(-3/2))/((g/g**8)/g**(-2/13))) assuming g is positive. g**(277/26) Simplify (z**(-6/13)*z**1*(z**(-1/4)*z)**(-5/12))**(2/19) assuming z is positive. z**(47/1976) Simplify (((x/x**3)**(-39)/(x**9/x*x**(3/4)))**13)**(8/7) assuming x is positive. x**(7202/7) Simplify ((i**0)**(-38)/(i/i**(-1))**4)/(((i**(-1/4)*i)/i)/i*i**(-1)*(i/(i*i*i**(-2/5))*i)**(-23)) assuming i is positive. i**(69/20) Simplify x**1*x*x/x**(-7)*x**(-5)*x**(-1/5)/x*(x**(-7)/((x*x**(-5))/x))**(-23) assuming x is positive. x**(249/5) Simplify (y**32/(y/(((y*y**(-1/43))/y)/y)))/(y**11*y*y/y**(-1/2)) assuming y is positive. y**(1417/86) Simplify (o**1*o)**(-3)*(o**(-1)*o)**(-26/3)*(o**(-1))**48*(o*o**(-7)*o)/(o*o**(-5/2)) assuming o is positive. o**(-115/2) Simplify (((i*i**(-19))/(i**(1/3)/i))/((i**(-1/7)*i)/i**(-40)))**(-6/35) assuming i is positive. i**(2444/245) Simplify ((r*r*r/((r/r**(1/3))/r)*r)**(-6/7))**(16/3)*r**(-4/7)*r/r**(-2/9)*(r**(-1))**(-37) assuming r is positive. r**(1124/63) Simplify (((s/((s/(s/(s*s**4))*s)/s)*s)/s**(1/4))/(s/(s*s/(s/(s*s**1))))**50)/((((s**7*s)/s)/s**(-6))/((s**3*s)/(s/(s**(-1/7)*s*s)))) assuming s is positive. s**(2481/28) Simplify (((s**5/s)/s)**(1/24))**22*(s/(s/(s*s**0)*s))**(-4/17)*(s**(-3)/s*s*s)/(s*s/s**(1/9)*s) assuming s is positive. s**(-77/36) Simplify (x**1*x)**(-14)*(x**(2/7))**(-35)*x**(-6)/x*x*x**(-3)*(x/x**1)**(-2/3) assuming x is positive. x**(-47) Simplify ((p**(-2/3))**0*(p/(p/(p/p**(-2/9)*p*p)))/p*p**(-1/7))/((p**(2/7))**(20/11))**30 assuming p is positive. p**(-1337/99) Simplify (v**(-12/5)*v**(1/9)*v**(3/8)/v**(-24))**(4/13) assuming v is positive. v**(7951/1170) Simplify (d**(2/7)/((d*d/d**(3/5))/d))**(2/123)/(d**(-5)*d/(d**(-6)/d)*d)**(-14) assuming d is positive. d**(241072/4305) Simplify ((h/h**(-1))**22)**18/((h**(-1/9)*h/h**5)/(h**4*h*h/(h*(h**(-1/3)/h)/h*h))) assuming h is positive. h**(7222/9) Simplify (((((g/g**(-1/4))/g)/g)/g)**0)**(5/13)*((g**(-5)/g)/(g**2/g))/(g/(g*g/g**1))**(4/9) assuming g is positive. g**(-7) Simplify (a**4/((a/a**(-2/15))/a)*(a/a**(-1)*a)**(-47))/((a**0*a**7)/(((a/(a/a**7))/a)/a**6)) assuming a is positive. a**(-2162/15) Simplify ((w*w**(-11))/(w/(w**(-2/13)/w))*w**(-1/3)/w*w**(1/11))**(-15) assuming w is positive. w**(28735/143) Simplify (c**0/((c*c**(2/3))/c))/(c**(-4/7)/(c*c**(-5)*c))*c**(-7)*c**(-2/3)*(c*c**(-1/4))**6 assuming c is positive. c**(-263/42) Simplify (p*p**(-5))/((p/p**(-3))/p)*((p/((p**(-1/2)*p*p)/p))/p)/p**(-6)*p*p**(-3)/p*p**(2/11)*(p**(1/9)*p)/(p/p**(-8)) assuming p is positive. p**(-2417/198) Simplify ((x/(x*x**15*x*x*x*x))/x*x**16*x*x*x/(x*x**(1/20))*x*x*x**12)**(2/13) assuming x is positive. x**(239/130) Simplify (b**(-4/3)/b*b*b**(-1/4))**14*((b*(b*b**(-5))/b)/((b*b*b/(b/b**(2/9)))/b))/((b*b**(-2/5)*b)/b)**(31/2) assuming b is positive. b**(-1651/45) Simplify ((j/j**(3/8))/j*j*j**7*j*(j/(j/j**(-1))*j)**(-5/4))/(((j/(j*j**(5/4)*j))/j**(-8))/(j*j**5*j**(1/5))) assuming j is positive. j**(363/40) Simplify q/(q/(q*q*q**(-9/4)*q))*q**(1/27)*q*q*(q/(q/((q**(-25)*q)/q)))**19 assuming q is positive. q**(-50999/108) Simplify (n*n/(n*n/((n**8*n*n)/n))*n/n**(-3/8))**5*n**4*n**(-3/4)*n/(n/(n/(n**(-3/5)*n)))*n*(((n*n**(-2))/n*n)/n)/n assuming n is positive. n**(2149/40) Simplify (((s**(-3/5)/s)/s**(-1/6))/(s/((s**0*s)/s)*s/(s**(-3)*s)))/(((s/s**(-3/2))/(s**0/s))/(s**(-1/3)/s)**(-42)) assuming s is positive. s**(706/15) Simplify (((c*c*c/((c**(2/11)*c)/c)*c)/c*c)/((c**(-4)/c)/c)*c**(-2/7)/c**(2/27))/(c**5/(c*c**(-1/7)))**(4/17) assuming c is positive. c**(299836/35343) Simplify (m**(-1/2))**(-47)/(m**(-3/4)*m/m**(-2/9))*((m*m*m*m/m**(-2/5)*m*m)/((m*m**(3/4))/m))/((m**(-6)/m*m)/m**(3/4)) assuming m is positive. m**(6377/180) Simplify ((n*n/n**6*n)/n**0*(n**(1/2))**12)/(n**4/n*n**(-2/9)*n/(n/n**(-2/5))*n*n**(-3/8)*n) assuming n is positive. n**(-361/360) Simplify (h**32)**31*h*h*h/h**(10/11)*h**41 assuming h is positive. h**(11386/11) Simplify (l**(4/19)/l*l*l**(1/5)*(l*l**(-1)*l)/(l**(-8/3)*l*l))**35 assuming l is positive. l**(4144/57) Simplify w**(-2/13)/w*w*w**(-39)*w**(-3/10)/(w**(-7)/w*w) assuming w is positive. w**(-4219/130) Simplify (((i*i/i**8*i**(-3))/(i**(-7)*i*i**(3/2)))**27)**(9/2) assuming i is positive. i**(-2187/4) Simplify (m**(-7)*m*m**(-2/21))**32/(((m*m**(-2/7)/m*m)/m)**(-15)/(m/(m*m**(-1)*m))**31) assuming m is positive. m**(-598/3) Simplify ((h/h**1)**12)**(21/4)/((h*h/(h*((h*h**1)/h*h)/h*h)*(((h/(h*h/(h*h**(4/3)))*h)/h)/h)/h*h)/(h**(2/17)*h*h**(7/2)*h*h*h)) assuming h is positive. h**(845/102) Simplify ((c/(c*c**1))**25)**(15/8)*(c**(-1/3)/c**(5/6))**(1/4) assuming c is positive. c**(-283/6) Simplify a**(-1/3)/a*a**5*a/a**0*a*a*a**4*((a*a**1)**(-1/18))**29 assuming a is positive. a**(67/9) Simplify (a**(-21/5)/(a/a**(15/2)*a))/(a*a**(-5/11)*a*a**(-2/5)) assuming a is positive. a**(17/110) Simplify (p**(-6/7)/(p**(-11)*p))/(p**(1/14)/(p/(p*p*p**(-11/7)*p*p))) assuming p is positive. p**(107/14) Simplify (j**(1/3))**(-39)*((j*j**0/j)/j)**(-28)*((j/(j*j/(((j**(10/7)*j)/j)/j))*j)/j*j*j**(-4/11)/j*j*j)**33 assuming j is positive. j**(351/7) Simplify ((y*y**(-1))/y*y**(1/9))/(y**5/(y**(-4)/y))*((y/(y*y**2))/(y**(2/9)/y))**1 assuming y is positive. y**(-109/9) Simplify (u**(1/15)/(u*u*u**(-1/11))*(u**(-3/4))**(-2))**43 assuming u is positive. u**(-4859/330) Simplify (((((f**(-15)*f)/f)/f)/f*f*f)/(f/(f*f**(-2/7)*f)*f))**(-1/22)*(f**(-1)/f)**(2/83)*((f/(f*f**2))/f)**(10/9) assuming f is positive. f**(-103025/38346) Simplify ((((t/(t**(
{ "pile_set_name": "DM Mathematics" }
prime factors of k/20*(3 + 18/4)? 2, 3 Let t be 7 + -10 + (-4)/2. Let d(v) = v**3 + 6*v**2 - 3*v - 4. List the prime factors of d(t). 2, 3 Let w(t) = 510*t - 64. List the prime factors of w(3). 2, 733 Suppose -h + 1844 = 3*h. Suppose 5*d = -3*k + 148 + h, d + 5*k = 113. What are the prime factors of d? 3, 41 Suppose 0 = -2*l + 6*l - 8. Let n be l/(12/(-3))*8. List the prime factors of 16 + n*(-4)/8. 2, 3 Suppose -f + 3764 = 4*j, 5*j - 4*f - 6054 = -1370. List the prime factors of j/6 - 65/39. 5, 31 Suppose -9*b = -8*b + 365. Let y = 575 + b. List the prime factors of y. 2, 3, 5, 7 Let z be 1 + (2 - (-1 + 0)). Suppose 500 = 4*v - z*k, 3*v - 3*k = 2*v + 117. Suppose 48 = -3*i + v. List the prime factors of i. 3 Let q = 99 + 258. List the prime factors of q. 3, 7, 17 Let p(o) = -61*o - 24*o - 26*o. What are the prime factors of p(-1)? 3, 37 Let w(y) = -y**2 + y - 1. Let f(u) = 16*u**2 - 3*u + 5. Let h(t) = f(t) + 4*w(t). List the prime factors of h(-1). 2, 3 Let a be -1 + (1 + 1 - 1). Suppose -127 = -5*g + 3*h, 3*g + g + 5*h - 72 = a. Suppose -c = -5*r - 67, -2*c + 150 = -3*r + g. List the prime factors of c. 2, 31 List the prime factors of (-2 + -1 + 13)/(64/4352). 2, 5, 17 Let f(c) = -c**3 - 12*c**2 + 12*c - 3. Let s be (-14 - (3 - 4)) + 0. Let v be f(s). List the prime factors of v/(-35) - 956/(-14). 2, 17 Let m(j) = -10*j**3 - 15*j**2 - 30*j - 8. List the prime factors of m(-7). 2897 Suppose -4*u + 5*k + 379 = 0, 4*u + 0*k - 387 = -3*k. Let q = u + -23. List the prime factors of q. 73 Suppose -33 = -z + 2*d, 3*z - 2*d - 34 = 45. Let x = 32 - z. What are the prime factors of x? 3 What are the prime factors of 173 + (-16)/(7 - 15)? 5, 7 Suppose 22*b = -22988 + 134154. What are the prime factors of b? 31, 163 Let q(u) = 79*u**2 + 24*u + 14. What are the prime factors of q(4)? 2, 3, 229 Let o(h) = -h**3 - h**2 + 5*h + 2. Let m be o(-3). Let q be 1 - (-140)/4 - 0. Suppose 5*c = 3*s - 55, 9 = 2*s + m*c - q. What are the prime factors of s? 2, 5 Let u(r) = 3*r**2 - 2*r. Let k be u(2). Suppose 5*n = k*n. Suppose 1 = 2*t - 1, n = -3*d - 3*t + 108. List the prime factors of d. 5, 7 Let l(t) = -20*t - 13. Let q(w) = 13*w + 9. Let p(d) = -5*l(d) - 8*q(d). Let c be p(-4). List the prime factors of (c - 15)/(0 + -1). 2, 3 Let g = 10 + -9. Let o be (2 + (-75 - 0))*g. Let y = -50 - o. What are the prime factors of y? 23 Let g be -1 + -2*((-1884)/8 + -4). Let d = -227 + g. List the prime factors of d. 251 Suppose 19*v - 804 = 7499. List the prime factors of v. 19, 23 Suppose -45 = -o - 2*o. Let w = 15 - o. Suppose w = f - 30 - 8. What are the prime factors of f? 2, 19 Let x = -6859 + 10272. What are the prime factors of x? 3413 Let v be 1/(-3) - 40/15. Let f be (-15)/v + -2 - -8. Suppose 0*s - 3*p - 23 = -s, p = -2*s + f. What are the prime factors of s? 2 Suppose 846 = y - 0*y - a, -846 = -y - a. What are the prime factors of y? 2, 3, 47 Let y(h) = 167*h - 25. List the prime factors of y(3). 2, 7, 17 Suppose -4*z + z + 2*y = -5666, 0 = -5*z - 2*y + 9438. List the prime factors of z/72 + (-2)/9. 2, 13 Suppose 3*p - z - 119 = 0, -2 = -2*z - 0. Let r = -15 + p. List the prime factors of r. 5 Let o = -32 + 32. Let m(r) = -r + 51. What are the prime factors of m(o)? 3, 17 Let z = 1310 + -755. What are the prime factors of z? 3, 5, 37 Suppose 0 = 3*s - 5*z + 1030, -z - 1692 = 5*s + 3*z. List the prime factors of (42/35)/((-4)/s). 2, 3, 17 Let j(t) = -t**3 - 8*t**2 - 5*t - 1. Suppose -6 = 3*c - 2*h, -2*h + 11 - 5 = -2*c. Suppose -4*a - a - 40 = c. List the prime factors of j(a). 3, 13 Let r = 24 - 19. Suppose s - 2*y - 63 = 0, -3*s + r*y = 2*y - 186. List the prime factors of s. 61 Suppose 2*w = -3*w + d - 593, w + 129 = -5*d. Let j = -67 - w. What are the prime factors of j? 2, 13 Suppose -f - 922 = -c, 3*f - 3479 = -3*c - 743. List the prime factors of c. 7, 131 Suppose 21*p = 7803 + 1374. List the prime factors of p. 19, 23 Suppose -922 - 2561 = -27*f. What are the prime factors of f? 3, 43 Let g be (4 - (-1 + 6))*42. Suppose 3*t - 115 = 74. Let z = g + t. List the prime factors of z. 3, 7 Let l(a) = -a**3 - 3*a**2 - 5*a + 451. List the prime factors of l(0). 11, 41 Suppose 0 = 4*p + p - 3*k - 332, -2*k + 248 = 4*p. What are the prime factors of p? 2 Let t be (-16)/((-3)/(-9)*-2). Let v = t + 7. What are the prime factors of v? 31 Let z(a) = -a - 35 + 67 - 5*a**2 - a**3 + 124 + 4*a**2. List the prime factors of z(0). 2, 3, 13 Let v(c) be the first derivative of 11*c**2/2 + 5*c + 5. Let g(x) = -120*x - 55. Let b(f) = -6*g(f) - 65*v(f). What are the prime factors of b(4)? 5 List the prime factors of (-9 - (-47637)/(-18))*-2. 47, 113 Let x(p) = 4*p**2 + 15*p - 4. What are the prime factors of x(-11)? 3, 5, 7 Let w be 2 - 1 - (1 + -1 - -1). What are the prime factors of (-1)/(1/(-157) + w)? 157 Let h(q) = -2*q**2 - 36*q + 10. Let d be h(-16). Suppose -3*g + 4*f + 151 = 0, -5*g + 5*f - d = -334. List the prime factors of g. 3, 19 List the prime factors of (-9 + (-70)/(-6))*6756/8. 2, 563 Let g(q) = 9*q + 5. Let x = 40 - 26. What are the prime factors of g(x)? 131 Let b(i) = 3*i**2 - 1 - 5*i - 1 + i**3 + 2 - 3. Let w be b(-3). Suppose o - 2*z - 9 - 4 = 0, w = 3*z. List the prime factors of o. 3, 7 Let w(p) = 2 - 6*p + 6*p + 2*p**2 - p. Let h be w(-3). Let v = 32 - h. List the prime factors of v. 3 Let h(q) = 9*q**2 - 6*q + 41. What are the prime factors of h(7)? 2, 5, 11 Let n(c) = 86*c**2 - 2*c - 5. List the prime factors of n(5). 5, 7, 61 Let g = 4 - -3. Let m be 30/(-9)*(4 - g). Suppose 3*l - m = l. List the prime factors of l. 5 Suppose 4*w - 1106 - 1310 = 0. What are the prime factors of w? 2, 151 Let y(c) = 55*c**2 + 13*c - 74. List the prime factors of y(6). 2, 31 Suppose -148 = q - u + 143, 879 = -3*q - 3*u. Let y be 3/(-9) - q/3. Let a = y + -37. List the prime factors of a. 2, 3, 5 Let l(a) = 14*a**2 + 7. Let p(y) = 1. Let t(x) = l(x) - 6*p(x). Let u be t(-1). Let b = 18 - u. What are the prime factors of b? 3 Suppose 3*j = -3*a + 21, -4*j + a = -a - 10. Suppose j*x - 2*r - 8 = 0, -2*r = r. Suppose -4*d - 13 = 3, -x*c = 5*d - 80. What are the prime factors of c? 2, 5 Suppose -3*d - 43 = 5*y - 0*y, 0 = 2*d - 8. Let q(o) = o**2 - o - 4. List the prime factors of q(y). 2 Suppose -6 = 7*a - 10*a. Suppose -v + 228 = 4*g, 0 = 4*v - 5*v - a*g + 224. What are the prime factors of v? 2, 5, 11 Suppose 0 = 4*s - 0*s + 16, 0 = -3*x - 3*s - 9. Suppose r - x = 5. What are the prime factors of r? 2, 3 Let b = 1843 + -1099. List the prime factors of b. 2, 3, 31 Let j = 15 - 7. Let g(u) = -u**2 + 9*u + 2. Let v be g(j). Suppose -3*h - 5*x + v = 0, -4*x + x - 12 = 0. List the prime factors of h. 2, 5 Suppose -3*b + v + 6 = b, -2*b - 3*v = -10. Suppose b*l = 45 - 21. What are the prime factors of l? 2, 3 Suppose -10 = d - 8. What are the prime factors of d/(-4) + -1 - (-1164)/8? 5, 29 Let d be (10 - -4) + (-1 - 3). Let o(s) = s**2 - 5*s - 7. What are the prime factors of o(d)? 43 List the prime factors of (-3995)/(-20) + (-15)/(-12) + -1. 2, 5 Suppose 3*z + 5*j = 100, 3*z = -4*j + 42 + 56. Suppose 5*p = z - 5. Suppose 16 = p*l - 244. List the prime factors of l. 2, 13 Suppose s - 2*m - 19 = 0, 5*s + 5*m = -0*s + 140. Suppose -2*i = -5*j + 22 - 3, -4*i - 3*j = s. Let c = i - -32. What are the prime factors of c? 5 List the prime factors of 26902/8 + 50/40. 2, 29 Let w = -188 + 318. List the prime factors of w. 2, 5, 13 Suppose 4*d = -3*b - 0*b + 107, 9 = b - 4*d. Let r = -9 + b. List the prime factors of r. 2, 5 Let w(v) be the first derivative of v**2/2 + 2*v - 9. What are the prime factors of w(4)? 2, 3 Let r be (912/30)/(2/15). Let m = -116 + r. List the prime factors of m. 2, 7 Suppose -271 = -t + 66. List the prime factors of t. 337 Let a = 2439 - 1330. What are the prime factors of a? 1109 Suppose 147 = -6*s + 4965. What are the prime factors of s? 11, 73 Let u = -229 - -436. What are the prime factors of u? 3, 23 Let k(w) be the first derivative of -w**4/4 + 11*w**3/3 - 9*w**2/2 + 2*w - 2. Let h(u) = -6*u - 2. Let q be h(-2). What are the prime factors of k(q)? 2, 3 Suppose 59*h - 1540 = 1587. Let j(a) = -a**3 + a**2 + 3. Let s be j(-4). Let w = s - h. List the prime factors of w. 2, 3, 5 Let z(x) = -x + 5. Let k be z(0). Suppose 2*o + 135 = k*o. List the prime fact
{ "pile_set_name": "DM Mathematics" }
s the a'th term of -913411, -1826820, -2740229, -3653638, -4567047? -913409*a - 2 What is the x'th term of 731249, 731245, 731241? -4*x + 731253 What is the s'th term of 18931, 37893, 56857, 75823, 94791, 113761, 132733? s**2 + 18959*s - 29 What is the f'th term of 66, 138, 236, 354, 486, 626? -f**3 + 19*f**2 + 22*f + 26 What is the w'th term of -599, -682, -765? -83*w - 516 What is the t'th term of -22, -142, -326, -562, -838, -1142? 2*t**3 - 44*t**2 - 2*t + 22 What is the b'th term of 370, 750, 1136, 1528, 1926, 2330, 2740? 3*b**2 + 371*b - 4 What is the c'th term of -10141, -20289, -30425, -40543, -50637, -60701, -70729, -80715? c**3 - 10155*c + 13 What is the t'th term of -27330, -54662, -82000, -109344? -3*t**2 - 27323*t - 4 What is the t'th term of 3114, 6233, 9352, 12471, 15590? 3119*t - 5 What is the w'th term of 7, -92, -331, -770, -1469? -10*w**3 - 10*w**2 + w + 26 What is the w'th term of -17381, -34769, -52157? -17388*w + 7 What is the o'th term of 5148, 5146, 5144, 5142, 5140? -2*o + 5150 What is the r'th term of 94817, 94821, 94825, 94829, 94833, 94837? 4*r + 94813 What is the q'th term of 46665, 46673, 46687, 46707, 46733, 46765, 46803? 3*q**2 - q + 46663 What is the l'th term of -11707, -46748, -105159, -186946, -292115, -420672? -l**3 - 11679*l**2 + 3*l - 30 What is the f'th term of 1765, 1784, 1801, 1816? -f**2 + 22*f + 1744 What is the i'th term of -5468, -5463, -5446, -5417? 6*i**2 - 13*i - 5461 What is the x'th term of -20542, -41163, -61784? -20621*x + 79 What is the v'th term of 898, 711, 528, 349, 174? 2*v**2 - 193*v + 1089 What is the p'th term of 908, 809, 710, 611, 512, 413? -99*p + 1007 What is the y'th term of 74, -57, -238, -481, -798? -2*y**3 - 13*y**2 - 78*y + 167 What is the d'th term of -1743, -3508, -5275, -7044, -8815, -10588? -d**2 - 1762*d + 20 What is the g'th term of 8069, 8076, 8091, 8120, 8169, 8244, 8351, 8496? g**3 - 2*g**2 + 6*g + 8064 What is the g'th term of -1102, -5130, -12086, -21970, -34782, -50522, -69190? -1464*g**2 + 364*g - 2 What is the k'th term of 5728, 23000, 51792, 92110, 143960, 207348? k**3 + 5754*k**2 + 3*k - 30 What is the j'th term of 90627, 90625, 90621, 90615? -j**2 + j + 90627 What is the j'th term of 199, 66, -149, -446, -825, -1286, -1829? -41*j**2 - 10*j + 250 What is the k'th term of -370229, -370225, -370221? 4*k - 370233 What is the u'th term of -137, -564, -1273, -2264, -3537, -5092, -6929? -141*u**2 - 4*u + 8 What is the n'th term of -29, -6, 37, 106, 207? n**3 + 4*n**2 + 4*n - 38 What is the s'th term of 1054, 1129, 1204? 75*s + 979 What is the o'th term of -9802, -17311, -24810, -32293, -39754, -47187, -54586? o**3 - o**2 - 7513*o - 2289 What is the q'th term of 110985, 110986, 110985, 110982, 110977, 110970? -q**2 + 4*q + 110982 What is the i'th term of 518901, 518902, 518903? i + 518900 What is the m'th term of -463, -919, -1375, -1831? -456*m - 7 What is the x'th term of 26674, 53439, 80204, 106969, 133734? 26765*x - 91 What is the o'th term of -11016, -11006, -10996, -10986, -10976, -10966? 10*o - 11026 What is the x'th term of -13605, -13583, -13561, -13539? 22*x - 13627 What is the x'th term of -6405, -5878, -5003, -3780? 174*x**2 + 5*x - 6584 What is the i'th term of 104888, 104874, 104852, 104822, 104784? -4*i**2 - 2*i + 104894 What is the w'th term of 39890, 79799, 119720, 159659, 199622? w**3 + 39902*w - 13 What is the m'th term of 349, 2468, 7993, 18556, 35789, 61324? 272*m**3 + 71*m**2 + 2*m + 4 What is the m'th term of -48643, -97301, -145955, -194605, -243251, -291893? 2*m**2 - 48664*m + 19 What is the m'th term of -3213, -11766, -26009, -45936, -71541, -102818, -139761? m**3 - 2851*m**2 - 7*m - 356 What is the b'th term of -37971, -37972, -37973? -b - 37970 What is the b'th term of -191, -505, -939, -1493, -2167, -2961, -3875? -60*b**2 - 134*b + 3 What is the p'th term of -78, -33, 32, 117, 222, 347, 492? 10*p**2 + 15*p - 103 What is the s'th term of 1555, 1538, 1535, 1552, 1595, 1670? s**3 + s**2 - 27*s + 1580 What is the x'th term of -51855, -51865, -51875, -51885, -51895? -10*x - 51845 What is the j'th term of -38332, -38332, -38330, -38326, -38320, -38312, -38302? j**2 - 3*j - 38330 What is the p'th term of -1489, -5402, -11925, -21058, -32801? -1305*p**2 + 2*p - 186 What is the b'th term of -5, -240, -709, -1478, -2613, -4180, -6245? -11*b**3 - 51*b**2 - 5*b + 62 What is the l'th term of 1571, 1757, 1949, 2147, 2351, 2561, 2777? 3*l**2 + 177*l + 1391 What is the h'th term of 698, 624, 550, 476, 402? -74*h + 772 What is the l'th term of -6484, -13011, -19538, -26065, -32592, -39119? -6527*l + 43 What is the d'th term of -926, -2068, -3206, -4340, -5470, -6596, -7718? 2*d**2 - 1148*d + 220 What is the a'th term of -54587, -109163, -163753, -218363, -272999? -a**3 - a**2 - 54566*a - 19 What is the a'th term of 83529, 83516, 83485, 83430, 83345, 83224? -a**3 - 3*a**2 + 3*a + 83530 What is the o'th term of 70499, 70498, 70497, 70496? -o + 70500 What is the h'th term of -1137, -2296, -3471, -4662, -5869, -7092? -8*h**2 - 1135*h + 6 What is the j'th term of 937, 965, 1017, 1093, 1193? 12*j**2 - 8*j + 933 What is the q'th term of -6196647, -6196646, -6196645, -6196644, -6196643? q - 6196648 What is the d'th term of -1792, -6480, -14292, -25228, -39288, -56472, -76780? -1562*d**2 - 2*d - 228 What is the y'th term of 341, -70, -481, -892? -411*y + 752 What is the j'th term of -2741, -2757, -2783, -2819, -2865? -5*j**2 - j - 2735 What is the b'th term of -4355, -4273, -4199, -4139, -4099, -4085, -4103? -b**3 + 2*b**2 + 83*b - 4439 What is the p'th term of -42, -341, -1118, -2601, -5018, -8597? -38*p**3 - 11*p**2 + 7 What is the z'th term of 2656, 2685, 2746, 2845, 2988, 3181? z**3 + 10*z**2 - 8*z + 2653 What is the b'th term of -116, -79, 92, 397, 836, 1409? 67*b**2 - 164*b - 19 What is the c'th term of 50, 385, 986, 1847, 2962, 4325, 5930, 7771? -c**3 + 139*c**2 - 75*c - 13 What is the u'th term of 531, 4225, 14279, 33873, 66187, 114401, 181695? 530*u**3 - 16*u + 17 What is the n'th term of 9743, 19485, 29227? 9742*n + 1 What is the h'th term of 34404, 68802, 103200, 137598? 34398*h + 6 What is the v'th term of 1736, 3426, 5116, 6806, 8496, 10186? 1690*v + 46 What is the q'th term of -7430, -7399, -7368? 31*q - 7461 What is the y'th term of -355, -280, -175, -40, 125? 15*y**2 + 30*y - 400 What is the m'th term of 21052, 21054, 21058, 21064? m**2 - m + 21052 What is the n'th term of 39886, 79774, 119662, 159550, 199438? 39888*n - 2 What is the t'th term of -26, -95, -188, -305, -446, -611, -800? -12*t**2 - 33*t + 19 What is the m'th term of -15109, -30158, -45219, -60298, -75401? -m**3 - 15042*m - 66 What is the m'th term of -187045, -187042, -187039, -187036, -187033, -187030? 3*m - 187048 What is the o'th term of -1811, -2472, -3119, -3746, -4347? o**3 + o**2 - 671*o - 1142 What is the u'th term of -368, -1610, -3666, -6524, -10172? 2*u**3 - 419*u**2 + u + 48 What is the w'th term of -465479, -465478, -465477, -465476, -465475? w - 465480 What is the v'th term of -867, -2004, -3143, -4284? -v**2 - 1134*v + 268 What is the l'th term of 2231, 2174, 2127, 2096, 2087, 2106? l**3 - l**2 - 61*l + 2292 What is the c'th term of 9062, 9041, 9010, 8969? -5*c**2 - 6*c + 9073 What is the l'th term of 669, 1369, 2067, 2763? -l**2 + 703*l - 33 What is the x'th term of -317, -655, -1045, -1511, -2077, -2767, -3605? -4*x**3 - 2*x**2 - 304*x - 7 What is the i'th term of 206, 1521, 5042, 11873, 23118, 39881, 63266? 184*i**3 - i**2 + 30*i - 7 What is the z'th term of -7054, -14119, -21190, -28273, -35374, -42499, -49654, -56845? -z**3 + 3*z**2 - 7067*z + 11 What is the g'th term of 2226, 4523, 6832, 9159, 11510? g**3 + 2290*g - 65 What is the x'th term of 2624, 4835, 7046, 9257? 2211*x + 413 What is the s'th term of 18488, 36688, 54890, 73094, 91300, 109508? s**2 + 18197*s + 290 What is the p'th term of -38732, -38648, -38418, -37970, -37232? 12*p**3 + p**2 - 3*p - 38742 What is the s'th term of -95658, -95750, -95896, -96090, -96326, -96598? s**3 - 33*s**2 - 95626 What is the w'th term of 207054, 207045, 207030, 207009, 206982? -3*w**2 + 207057 What is the j'th term of -439623, -439625, -439627? -2*j - 439621 What is the i'th term of 829, 1081, 1333, 1585, 1837, 2089?
{ "pile_set_name": "DM Mathematics" }
at is w rounded to the nearest one million? 11000000 Let h(d) = -d**2 - 3*d + 13. Let g be h(-5). Suppose -g*x = -0*x + 18444. Let n = -9078 - x. Round n to the nearest one hundred. -2900 Suppose 0 = 3*i - 4*w + 5013904, -w + 1831047 = -2*i - 1511554. What is i rounded to the nearest 100000? -1700000 Let t be 1 - (-845359968)/4 - (-2 - 5). Round t to the nearest 1000000. 211000000 Let m = 259 + 44. Let k = -303.000000103 + m. Round k to 7 decimal places. -0.0000001 Suppose 100*m - 44*m = -3627680. Round m to the nearest ten thousand. -60000 Let w = -55.80335 + -0.50265. Let x = 56 + w. What is x rounded to one decimal place? -0.3 Let a(i) = 127*i**2 - 3*i - 3. Let t be a(5). Let u(n) = 41*n**2 + 23*n - 13. Let s be u(7). Let g = s - t. Round g to the nearest one hundred. -1000 Let b(x) = x**2 - 2*x - 4. Let n be b(-2). Let u be (-1)/(n/((-33568)/(-4))). Let r be 1*u - 2 - 0/2. What is r rounded to the nearest 1000? -2000 Let c = -1651015.79711 - -1651034. Let o = -18.2 + c. Round o to three decimal places. 0.003 Suppose y - 4*d + 5 = 0, -5*y = -0*y + 2*d - 19. Suppose 0 = y*c + 3*j - 651, 3*c + 3*j = -j + 656. Let i be (c/(-6))/((-2)/6). Round i to the nearest ten. 110 Let d be 42/8 + (-3)/12. Suppose -5*t - u + 2*u + 46600000 = 0, d*t = 5*u + 46600000. What is t rounded to the nearest one million? 9000000 Suppose -3*c = -d + 2*c + 5, 0 = 4*d - 3*c - 3. Suppose d = -6*o + 3830 + 45256. Let g = 1881 - o. What is g rounded to the nearest 1000? -6000 Let d = 1.4982 - 1.498231512. What is d rounded to 6 decimal places? -0.000032 Let k = 280 - 133. Let a = 146.9948 - k. Round a to four dps. -0.0052 Let i(p) = -2*p**3 + 3*p**2 + 2*p - 312309. Let b be i(0). Let h = b - 1075691. Round h to the nearest ten thousand. -1390000 Let p = -313.9549 - 0.0451. Let b = 6.51118978 + 307.48827322. Let m = p + b. What is m rounded to four decimal places? -0.0005 Let u = -58.4 + 58.4271. Let c = u + -0.026026. What is c rounded to 4 decimal places? 0.0011 Let i(n) = -n**2 - 6*n + 77. Let y be i(-12). Suppose j = 5*w - 7989980, -4*j + y*j = -3*w - 7990012. What is j rounded to the nearest one million? -8000000 Let o = 0.9695003499 - 0.9695. Round o to six decimal places. 0 Let p be ((-90)/(-72)*-221150)/((-1)/32). What is p rounded to the nearest 100000? 8800000 Let n = 2632.7 - 2638. What is n rounded to one decimal place? -5.3 Let f = 1.414207 + -1.48320605. Let a = -0.069 - f. Round a to 6 decimal places. -0.000001 Let n = -22476.5237 - -22478. Round n to one decimal place. 1.5 Let k = -1051922467.86147 - -1051880087. Let o = k + 42351.76. Let y = o + 29.1. What is y rounded to 4 decimal places? -0.0015 Let t = -1366.6 + 3066. What is t rounded to the nearest one hundred? 1700 Let y = -131.368 + 131. Let j = 0.368435 + y. What is j rounded to 4 decimal places? 0.0004 Let f = 0.05815 + -980.95815. Let k = -987 - f. What is k rounded to the nearest integer? -6 Let c be 7*6*(-2 + 4 - 468/(-21)). Round c to the nearest one hundred. 1000 Let a = -2.0548 + 2.05557982. What is a rounded to five dps? 0.00078 Let i = 9.49 + -304.99. Let s = i + 311. Round s to the nearest ten. 20 Let j(i) = -i**2 - 42*i + 181. Let f be j(-45). Suppose 0 = -3*d + 2*n - 859192, -3*n - 1432012 = -41*d + f*d. What is d rounded to the nearest ten thousand? -290000 Let a be (1334/10 - 3)*(-36 + 1). Let c be (-3 - -2)/((-4568)/a + -1). What is c rounded to the nearest one hundred? -1100 Let h = 747 + -738. Let x be h/((-3)/(75*-30400)). Round x to the nearest one hundred thousand. 6800000 Let g = -5.02868 - -1.1198. Let r = g - -0.30933. Let p = r - -3.6. Round p to four dps. 0.0005 Let g = 915456 - 564485. Suppose -g - 25829 = 6*d. Round d to the nearest ten thousand. -60000 Let r = -240777 + 450837. Round r to the nearest ten thousand. 210000 Suppose 2*b = u + 23, 5*b - 94 - 46 = 5*u. Let z be 1 - 6283/(-3) - 22/u. Suppose z = -3*t - t. What is t rounded to the nearest one hundred? -500 Let r = 48.254 + -37.39. Round r to zero decimal places. 11 Suppose 0 = 11*v - 138354 - 122291. Let d = v + -14925. Round d to the nearest 1000. 9000 Let j = 474.72 - -6.28. Let t = j + -479.772. What is t rounded to one decimal place? 1.2 Suppose 27 - 2 = 5*o + 4*a, 4*a = -4*o + 24. Let g be (o + (4 - -1992) - -3)*641. Round g to the nearest 100000. 1300000 Let h = -6881532644 + 6881532683.99999967. Let t = 40.058 - 0.058. Let s = t - h. Round s to 7 dps. 0.0000003 Let w(j) = -2745 - 27*j - 101*j + 2843. Let m be w(16). What is m rounded to the nearest 100? -2000 Let j = -0.82 - 298.18. Let g = 299.29 + j. Round g to 1 decimal place. 0.3 Let l = 0.3292 - 0.32931768. Round l to 5 dps. -0.00012 Let y = 54465 - 30899. Let b = 23565.73009 - y. Let r = b + 0.27. What is r rounded to five dps? 0.00009 Let q = -78 - -215. Let w = q - 269.8. Round w to the nearest ten. -130 Let r = 68896.8 - 62932. What is r rounded to the nearest 100? 6000 Let w = -87.40819 + -0.10181. Let o = w - -88. Let b = 0.4899977 - o. What is b rounded to 7 decimal places? -0.0000023 Let u = -14.9312 + -1387.6528. Let d = u - -1397. Let k = -5.4 - d. What is k rounded to 2 decimal places? 0.18 Suppose -10 = 5*z - 6*z. Let i(a) = 118*a**3 - 8*a**2 - 9*a - 10. Let v be i(z). Round v to the nearest 10000. 120000 Let p(n) be the second derivative of -5795*n**3/2 - 15*n**2/2 + 224*n. Let l be p(-39). Round l to the nearest 10000. 680000 Let v = -2983.2029456 + 2983.2. What is v rounded to 5 dps? -0.00295 Let h = 8738 + -8737.959644. Round h to two decimal places. 0.04 Let z = -107311 - -97746.9. Let i = z + 9603.0964. Let l = 39 - i. What is l rounded to three decimal places? 0.004 Let v(j) = 6*j + 10. Let u be v(3). Let t be (-9385)/(-5) + u/(-4). What is t rounded to the nearest one thousand? 2000 Suppose -5*u - 3*u = 8. Let k be u*(3/2)/(8/(-944)). What is k rounded to the nearest ten? 180 Let h = 55240 - 55235.99048. Let x = h + -4. Round x to 3 dps. 0.01 Let j = -150186 + 240289. Let u = 50978 + 2019. Suppose -9*t + u = -j. Round t to the nearest 1000. 16000 Let r = -34 - -37. Let x(p) = -600*p**3 + 4*p**2 - p - 6. Let n be x(r). Let w = n + -13827. Round w to the nearest 10000. -30000 Let n = -878 + 877.9734. Let q = n + -12.6934. What is q rounded to zero decimal places? -13 Let n = 0.046056 - -56.319944. Let q = -85.33 + n. Let r = q + 29. What is r rounded to 2 dps? 0.04 Let x = -1066859.8559 + 1066740. Let p = x - -119.355571. Let w = p - -0.5. Round w to 5 dps. -0.00033 Let z = 44.65834 - -0.72866. Let q = 41.529 + z. Let w = q + -87. Round w to 2 dps. -0.08 Suppose 3*z - 646404 = -5*j + 602108, 6*z = -j + 249724. Round j to the nearest ten thousand. 250000 Let o = 0.05 - 1.55. Let p = 1.491 + o. Let t = p - -0.0058. What is t rounded to 3 dps? -0.003 Let d = -33730.209 + 33708. What is d rounded to one decimal place? -22.2 Let o = -0.111 - -0.161. Let l = o - -0.01. Round l to two dps. 0.06 Suppose -4*j = -20 - 16. Let o = j + -9. Suppose 5*b + 28 + 47 = o. Round b to the nearest 10. -20 Let u = -14252.999987197 - -14253. Round u to five dps. 0.00001 Let l = 134 + 37. Let n = l - 170.99999979. Round n to seven decimal places. 0.0000002 Let d = 308 - 262.9. Let z = d - 45.09883. What is z rounded to four dps? 0.0012 Let g = 7.6489993502 + -7.649. What is g rounded to 7 dps? -0.0000006 Let j = 537575.629744 - 537581. Let f = -5.37 - j. Round f to five dps. 0.00026 Let k = -17.3 + 5.3. Let g = -350196.99988 + 350185. Let m = g - k. What is m rounded to five dps? 0.00012 Let u = 0.088492501 + -0.0885. What is u rounded to seven decimal places? -0.0000075 Let z = 0.254 - 0.2648. Let b = 0.0462 - z. What is b rounded to 2 dps? 0.06 Let i = 1974.5 + -4120.6. What is i rounded to the nearest 10? -2150 Let j = -10863 - -10821.815. Round j to zero dps. -41 Let s = -0.85 + 1.5. Let y = s - 0.35. Let b = y - 0.3014. Round b to 3 dps. -0.001 Suppose 4*m - 30 = -3*d, d + 1 - 33 = -5*m. Let o be 640/6*(-7 + (-633)/m). Round o to the nearest one thousand. -12000 Let y = -677 + 677.0003957. What is y rounded to 4 dps? 0.0004 Let r = 33 - 48. Let f = r + 102. Let k = 87.0087 - f. What is k rounded to three dps? 0.009 Let i(f) = 3625*f**2 - 108*f - 53. Let w be i(-41). What is w rounded to the nearest 100000? 6100000 Let m be -5 + 3 + (29332 + -15 -
{ "pile_set_name": "DM Mathematics" }
(-6))/(36/54). Let n be c - 16334*x*3. What is n rounded to the nearest ten thousand? 50000 Let s = 730 - 729.689. Let o = s + -0.207059. Let q = o - 0.104. Round q to 5 decimal places. -0.00006 Let k = -3.8 + 2.5. Round k to 1 dp. -1.3 Let z = -142.044719 - -80.04468. Let b = -62 - z. What is b rounded to five decimal places? 0.00004 Let c = -24 - -24.45. What is c rounded to 1 dp? 0.5 Let h = -0.118 - 1.112. Round h to 1 dp. -1.2 Suppose 5*n - 2*g - 30 = 0, -3*n + 5*g = 2*n - 30. Suppose -2*a = -n*a. Suppose a = -2*f + 64 - 2. Round f to the nearest 10. 30 Let f = 55 + -52.7. Let v = 0.7 + f. Let w = v - 3.00046. What is w rounded to 4 dps? -0.0005 Let w(n) = -283334*n**2 + 4*n - 6. Let r be w(3). What is r rounded to the nearest 100000? -2600000 Let g = 491863 + -491863.1299986. Let z = -6.87 - -7. Let b = z + g. Round b to 6 decimal places. 0.000001 Let j = -177 - -169.84. Round j to the nearest integer. -7 Let c = 3.8 + 12.2. Let b = -16.67 + c. Round b to one decimal place. -0.7 Let p(s) = -37999*s**2 - 3*s + 2. Let k be p(2). Round k to the nearest 10000. -150000 Let r = -10504 - -15149. Let d be -1 + (-3)/((-3)/r). Suppose 5*n - 9856 = d. Round n to the nearest 1000. 3000 Let q = -73 + 515. Let f = 87 - 85. Let a be (f - 4) + q + 0. Round a to the nearest 100. 400 Let d = 10.087 - 9.65. Let n = -1.433 - d. Let b = n + 0.71. What is b rounded to one dp? -1.2 Let w = -15.513896 + 15.464. Let m = w + 0.05. What is m rounded to 5 dps? 0.0001 Let g = 8037 - 7962.93. Let x = -0.07 + g. Let t = x - 73.933. What is t rounded to 2 decimal places? 0.07 Suppose 8 = 2*g + 18. Let h be (-35502)/(-5) + 2/g. What is h rounded to the nearest 1000? 7000 Let x be 27000010/50 + (-1)/5. Round x to the nearest one hundred thousand. 500000 Suppose -p - 144 = 56. Round p to the nearest 100. -200 Let v = -0.27 - 25.73. Let y = -63 - v. Let m = y + 36.999966. What is m rounded to 5 decimal places? -0.00003 Let s be (-5 - -1255)/(1/2720). Round s to the nearest one million. 3000000 Let t = -28 - -6. Let g = -1 - t. Let m = g - 20.9978. Round m to three decimal places. 0.002 Let o = -17.136 + 17. Let b = 1.6 + -1.75. Let m = o - b. What is m rounded to two dps? 0.01 Let y = 22197 - 33197. Round y to the nearest 1000. -11000 Let z = 17420.970068 - 17421. Let i = 0.08 + -0.11. Let c = i - z. Round c to five dps. -0.00007 Let o(g) be the second derivative of g**5/10 - 13*g**4/12 + g**2/2 + 2*g. Let z be o(11). Round z to the nearest one hundred. 1100 Let a = -15.6 - -16. Let w = a - 0.40045. Round w to 4 decimal places. -0.0005 Let r = -58 - -182. Let j = 12624 + -12748.61. Let v = r + j. Round v to one decimal place. -0.6 Let z = -1.1 + 1. Let m = z - 11.9. Let o = m + 11.999966. Round o to five decimal places. -0.00003 Let f(b) = b. Let k be f(-1). Let l be 9 - ((-2)/k - 0). Suppose l*q - 2*q = 6500. Round q to the nearest one thousand. 1000 Suppose -157 = -11*x + 10*x. Round x to the nearest 10. 160 Suppose 0 = -2*q - 5*h - 13775, 0*q + 4*h + 6880 = -q. Round q to the nearest 1000. -7000 Let x = 108 + -187. Round x to the nearest ten. -80 Let h = -546.2 + 606.77. Let s = 60 - h. What is s rounded to 1 decimal place? -0.6 Suppose 3*v + v + 10316 = -5*m, -3*v = 3*m + 6192. Round m to the nearest 100. -2100 Let r be -18500*4/(-6)*-51. Round r to the nearest 10000. -630000 Let b be (188/(-5))/(15/75). What is b rounded to the nearest 10? -190 Let j be ((-12)/(-5))/((-4)/(-10)). Suppose -2*x - b + 4037 = 0, j = -0*b - 2*b. What is x rounded to the nearest one hundred? 2000 Let y = 8.4 - 9. Let r = 0.5992 + y. Round r to 3 dps. -0.001 Let x = 1207719094.37780764012 + 679421.32219292988. Let n = 1208398522 - x. Let o = n + -6.3. What is o rounded to 7 decimal places? -0.0000006 Let s = -471 - -323. Let w = 148.0000134 + s. What is w rounded to 6 decimal places? 0.000013 Let r = -5.52 + 3.9. Let u = r + -0.48. What is u rounded to the nearest integer? -2 Let l = -4247 + 4115.35. Let h = l + -3.35. Let x = -144.3 - h. Round x to the nearest integer. -9 Let y = 2.43 - 0.15. Round y to zero decimal places. 2 Let c(m) = 54320*m**2 - 8*m + 8. Let y = -3 + 1. Let b = y - 7. Let r be c(b). What is r rounded to the nearest one million? 4000000 Let a = 0.69 + -0.6900039. Round a to 6 dps. -0.000004 Let l(u) = -4 + 3 + 3*u - 4*u. Let m be l(-4). Let t be ((-1030)/15)/((-2)/m). Round t to the nearest ten. 100 Let x = 0.007 + 65.993. Let h = -69.3 + x. Round h to zero dps. -3 Let q = -2.08 - -2.08087. Round q to four decimal places. 0.0009 Let g = 92.99967 - 93. What is g rounded to 5 dps? -0.00033 Let r = 121075 + 122925. Round r to the nearest 10000. 240000 Let b(j) = j + 1. Let h be b(5). Suppose g - h*g - 5150000 = 0. Round g to the nearest one hundred thousand. -1000000 Let m = 0.14 + 0.16. Let c = -4.37092 + 4.671. Let d = m - c. What is d rounded to 5 decimal places? -0.00008 Let m(p) = -14064*p**3 + 7*p**2 - 3*p - 4. Let x be m(4). What is x rounded to the nearest 1000000? -1000000 Let o = -0.1 + -6.9. Let q = o + 6.99999946. Round q to seven dps. -0.0000005 Let w = -184 + 31. Let b = 94 + w. Let k = b + 60.24. What is k rounded to 1 dp? 1.2 Let w = 0.8 - 0.84. Let k = w + 5.04. Let t = k - 4.999992. What is t rounded to six decimal places? 0.000008 Let i = 1793 + -1789.961. Let w = i - 3. What is w rounded to two dps? 0.04 Let a = 656.9 - 709. Let b = a - 0.9. Let w = -53.108 - b. What is w rounded to 2 dps? -0.11 Let l = -153263.00005 + 153258. Let k = -5 - l. Round k to five dps. 0.00005 Suppose 3*s - 800000 = 4*s. Round s to the nearest one million. -1000000 Suppose 3*x - 4*n - 9 = 0, 4*n + 10 = 5*x - 5. Let u(g) = 0 - x - 1 + 826*g. Let b be u(4). Round b to the nearest 1000. 3000 Let f be 10*1*(-1)/(-2). Suppose 0 = -f*j - 0*j + 7000000. Round j to the nearest 100000. 1400000 Suppose 334812 = -0*n - 4*n. Suppose -383114 = 3*h + 5*z, -3*h + 4*z = z + 383106. Let s = n - h. What is s rounded to the nearest ten thousand? 40000 Let p(h) = h + 10. Let z be p(-5). Suppose 0 = 2*l - 3*t + 2820015, 3*t + 2*t - 7050025 = z*l. What is l rounded to the nearest one hundred thousand? -1400000 Let m = -28.000233 + 28. Round m to 5 dps. -0.00023 Let i = -518.8 + 517.79952. Let p = i + 1. What is p rounded to four dps? -0.0005 Let h = 674333 - 398333. Suppose -15*m + h = -11*m. Round m to the nearest ten thousand. 70000 Let f = -172.10239821 - -0.10108821. Let z = -172 - f. Round z to four decimal places. 0.0013 Let c = 76 - 75.99929. What is c rounded to four dps? 0.0007 Let v(o) be the first derivative of o**3/3 - 7*o**2 + 2*o - 6. Let b be v(11). What is b rounded to the nearest 10? -30 Let d = -44.6 + -47.9. Let t = d - -104.379. Let h = -0.221 - t. Round h to zero dps. -12 Let i = -0.638 - 0.142. What is i rounded to one decimal place? -0.8 Let q = -142.00059 - -142. Round q to 4 dps. -0.0006 Suppose 0 = -3*z + 2*x - 3*x - 22621, 5*x = -3*z - 22625. What is z rounded to the nearest 1000? -8000 Let x = 17 + -17.0000042. Round x to six dps. -0.000004 Let w be 898*(0 + 2 + -3). Let j = 959 - w. Suppose -j + 7857 = -3*n. Round n to the nearest ten thousand. 0 Suppose -3*l = -5*l + 4. Let n = 1 - l. Let c be (n/(-2))/(7/(-952)). Round c to the nearest 10. -70 Let c = -733 - -747.44. Let m = c + -13. What is m rounded to 1 dp? 1.4 Let i be -2917242*(-4 - (-184)/(-12)). Suppose 4*r = 2*z + i, -2*r = -5*z - 106293970 - 34706036. What is z rounded to the nearest 1000000? -28000000 Let l = 307 - 806. Let x = l + 499.533. Let q = -0.5 + x. Round q to two decimal places. 0.03 Let v = 47.9986 + -48. Round v to three decimal places. -0.001 Let b = 0.0896 + -0.078. What is b rounded to 3 decimal places? 0.012 Let d = -9675 + 70675. What is d rounded to the nearest 10000? 60000 Let q = -80 + 188. Let g = 108.0000059 - q. What is g rounded to six dps? 0.000006 Let d(a) = -a**2 + 4*a + 1. Let t be d(2). Suppose -2*z + n + 17 = -5*z, 3*z + 1 = -t*n. Let i = z - 118. Round i to the nearest ten. -130 Let a(l) be the second derivative of 20333*l**4/4 + 5*l**3/3 + l. Let v = -7 - -17. Let q be a(v). Round q to the nearest one million. 6000000 Let h = 22 - 16. Let r = 5.99999936 - h. Round r to 7 decimal places. -0.0000006 Suppose 0 = -9*z + 10*z - 131. Round z to the nearest ten. 130 Let a = -4 -
{ "pile_set_name": "DM Mathematics" }
0 = -r. What are the prime factors of f? 2, 3 Suppose 23240 = -3*z + 38*z. What are the prime factors of z? 2, 83 Let r(k) = -3*k + 12. Let c be r(3). Let d(q) = 24*q**2 - 9*q - 7. What are the prime factors of d(c)? 2, 7, 13 Let l be -12*(-4)/8*79. Suppose 43*a - 49*a = -l. What are the prime factors of a? 79 Let t(f) = f + 11. Let y be t(-6). Suppose -576 = -y*s - 156. List the prime factors of s. 2, 3, 7 Let d(b) = -3*b**3 - 5*b**2 - 4*b - 4. Let u be -1 + 0 + 1 + -4. Let h be d(u). Suppose -3*m + 60 = o, 5*m = 2*o + 7*m - h. List the prime factors of o. 3, 7 Let x(f) = -f**3 + 3*f**2 + 11*f. Let s be x(5). Suppose 4*z = -s*v + 60, 5*v - z - 60 = -0*z. List the prime factors of v. 2, 3 Suppose 133 = 3*t + 31. Let d be 3/(10 + 1518/(-150)). Let j = t + d. What are the prime factors of j? 3 Let j(u) = -302*u**3 - 2*u**2 - 2*u + 1. List the prime factors of j(-1). 3, 101 Let i(m) = 28*m**2 + 37*m - 77. List the prime factors of i(-14). 3, 7, 233 Suppose -6178 - 5276 = -6*k. List the prime factors of k. 23, 83 Let v be 6 - -1 - 0/7. Suppose -2*d + 4*o = -3*d + 29, -2*d - 5*o = -49. Let h = d - v. List the prime factors of h. 2, 5 Let n = -206 - -364. Suppose 0 = -0*x + 2*x + 2, n = c + x. List the prime factors of c. 3, 53 Let q(a) = 22*a**2 - 17*a - 29. List the prime factors of q(-14). 3, 11, 137 Let q(c) = 14*c - 15. Let m be q(-4). Let w = 151 + m. List the prime factors of w. 2, 5 Suppose -39*g = -23*g - 26480. What are the prime factors of g? 5, 331 Let b(i) be the third derivative of 7*i**4/12 + 11*i**2. List the prime factors of b(4). 2, 7 Let j = 77 - 65. Suppose -1270 = 2*f - j*f. List the prime factors of f. 127 Suppose l = 3*l - 4. Let d(v) = -v**2 + 5*v + 1. Let h be d(4). Suppose 5*b - 40 = -3*t, h*b - t - 10 = l*t. What are the prime factors of b? 5 Let a(c) = 33*c - 2. Let d be a(6). Suppose 6*f - 2 - d = 0. Suppose 3*g - f = i + 2*i, 19 = g - 3*i. What are the prime factors of g? 7 Suppose 2*h + 57 = 9. What are the prime factors of (-1040)/h - 12/9? 2, 3, 7 Let w = 97 + -65. Suppose -2*o = -6 - 26. Let x = w - o. What are the prime factors of x? 2 Suppose 0 = -62*v + 36*v + 48724. What are the prime factors of v? 2, 937 Let j = 1767 - 864. What are the prime factors of j? 3, 7, 43 Let c be (8/1)/(1 + -2). Let h = c - -10. Suppose -h*n - 28 + 106 = 0. What are the prime factors of n? 3, 13 Suppose 2*d + 16 + 8 = 0. What are the prime factors of (-8)/d - (-139)/3? 47 Let y = 4249 + -1935. List the prime factors of y. 2, 13, 89 Let v be (0 - 0) + (-240)/(-8). Let k = 43 - v. List the prime factors of k. 13 Let r(a) = -259*a + 46. What are the prime factors of r(-6)? 2, 5 Let h = 13 + -3. Suppose -h + 1 = -3*o. Suppose o*q = -3, 3*q + 18 = -3*l + 66. List the prime factors of l. 17 Suppose -2*p - z = -6*z - 16, 4*p + 5*z - 2 = 0. Suppose -p*k + 0*k = 0. Suppose -3*t - 4*h = t - 104, -2*h + 4 = k. List the prime factors of t. 2, 3 Suppose 4*r + 4*u = 5476, -2750 = -2*r + 25*u - 23*u. What are the prime factors of r? 2, 7 Suppose 8*g = 3*g + 20. Suppose -3*j - 11 - 3 = -g*t, 0 = -2*j + 4*t - 16. Suppose 76 = 3*u - j. List the prime factors of u. 2, 13 Let u(t) = -158*t + 183. List the prime factors of u(-24). 3, 5, 53 Suppose 723 = 2*v - 4*a - 1139, 0 = 4*v + a - 3760. List the prime factors of v. 3, 313 Let j = 11 - 9. Suppose -j*v + 3*l - 1 = -3, l + 18 = 5*v. Suppose -t = -5*t + u + 57, 51 = v*t + 5*u. What are the prime factors of t? 2, 7 Suppose -165858 = -12*s - 54*s. What are the prime factors of s? 7, 359 Let k = 6778 - 1023. List the prime factors of k. 5, 1151 Let f(s) = 15*s + 6. Let q be f(3). Suppose 11*n = 14*n - q. List the prime factors of n. 17 Let z = -28 - -31. Suppose 13 = z*d - 8. What are the prime factors of d? 7 Suppose 15 = -2*z - 7. Let b be (5 + z)*(-2)/3. List the prime factors of -2*(-3 + (-38)/b). 5 Let l = 311 - 299. What are the prime factors of l? 2, 3 Let y(t) = t**2 - 8*t - 30. Let h be y(11). Suppose -h*q - 1134 = -10*q. What are the prime factors of q? 2, 3 Suppose l - 2 = 0, -4*r - l - 3*l + 2924 = 0. What are the prime factors of r? 3 Let a be ((-2)/(-6))/((-6)/(-72)). Suppose -2*o + 164 = d, -4*o + 2*d + 285 + 35 = 0. Suppose a*z = 47 + o. What are the prime factors of z? 2 Let h = 1106 - 450. What are the prime factors of h? 2, 41 Let d(o) = 6*o - 8. Suppose -2*v + 4*r = r + 4, 5*v + 5*r = 15. Let k = v - -5. What are the prime factors of d(k)? 2, 7 Suppose 691 = 2*u - 1971. List the prime factors of u. 11 Suppose -2*c + 529 = 5*l, 1208 = 3*c + 4*l + 411. What are the prime factors of c? 3, 89 Let g = -49 - -27. Let x = -16 - g. What are the prime factors of 15*(-4)/x*-7? 2, 5, 7 Suppose i - 668 = -a, -3348 = 3*i - 8*i - a. List the prime factors of i. 2, 5, 67 Suppose 5*m - 315 - 1230 = 0. List the prime factors of m. 3, 103 Let z be -1 - 0 - (4 - 7). Suppose 2 = j - z. Suppose 3*q - j*h + 3*h = 97, -q + h + 29 = 0. List the prime factors of q. 2, 17 Suppose 0 = -2*y - 2*o + 30, -4*y = 2*o - 6*o - 20. Suppose -8*i + 4*i = -28. What are the prime factors of 100/i + y/(-35)? 2, 7 Suppose 12 - 3 = g + 2*j, 0 = 3*g - j + 1. Let a(v) = 201*v**2 + 1. List the prime factors of a(g). 2, 101 Let z(g) = 2*g - 30. Let k be z(14). List the prime factors of (5 - (1 - k)) + 45. 47 Let r = -79 + 76. List the prime factors of r/((-6)/(-314))*-1. 157 Suppose 0 = -0*a + a - 43. Suppose 2*p - a = -m, 0*m = 2*p + 2*m - 48. What are the prime factors of p? 19 Let l(m) = 2*m**3 + 7*m**2 + 7*m + 3. List the prime factors of l(5). 463 Let r(g) = g + 4. Suppose 4*a + 22 - 6 = 0. Let d = 7 - a. What are the prime factors of r(d)? 3, 5 Let m(g) = -g**2 + 6*g - 5. Let s be m(5). Suppose 23 = 2*y - 11. Suppose y = a - s. List the prime factors of a. 17 Let s = -847 - -1322. List the prime factors of s. 5, 19 Let k(c) = -4*c + 53. Let h be k(0). Suppose -2*d + 3*i = -82, -2*i + h = 2*d - 9. What are the prime factors of d? 5, 7 Let q(k) = -k**3 - 14*k**2 - 13*k. Let b be q(-13). Suppose b = 2*a - o - 47, 5*a - 3*a + o = 49. What are the prime factors of a? 2, 3 Suppose -3*o + 1509 = -x - 0*x, 3*x + 495 = o. List the prime factors of o. 2, 3, 7 Suppose 4875 = 66*x - 51*x. What are the prime factors of x? 5, 13 Let r be (2001/(-18))/23 + (-1)/6. Let t(b) = 8*b**2 + 7*b - 7. List the prime factors of t(r). 2, 79 Let t(u) = -u**2 - 7*u. Let d be t(-7). Suppose -4*v + 2 = 2*a + 28, a - 2*v + 5 = d. List the prime factors of (3 - a) + 1 - 0. 13 Let v(z) = 44*z**2 + 23*z + 43. What are the prime factors of v(-6)? 1489 Suppose -2*y + 541 = -533. What are the prime factors of y? 3, 179 Let m be 8/(-32) + 45/4. Let y be (-27)/(-6)*(-4)/(-6). What are the prime factors of (1 - m)*y/(-6)? 5 Suppose s - 10 = 115. Suppose 0 = -5*g + 5*q + s, 6*g - 5*g = -3*q + 29. List the prime factors of g. 2, 13 Let w be ((-4450)/15)/5*9. Let u = -327 - w. List the prime factors of u. 3, 23 Let p(x) = -x - 14. Let z be p(-14). Suppose 4*y + 1 - 29 = z. What are the prime factors of ((-3)/2)/(y/(-126))? 3 Let l(o) = 9*o**2 - 41*o + 32. What are the prime factors of l(8)? 2, 5, 7 Let r(h) = h**3 + 7*h**2 - 19*h - 7. Let i be r(-9). Suppose -2*t + 4*l + 134 = -210, i*t - 5*l - 345 = 0. What are the prime factors of t? 2, 5, 17 Let i(d) = 90*d - 76. What are the prime factors of i(6)? 2, 29 Suppose -a = a - 4. Suppose -327 = -4*k + 3*n - 6*n, 0 = a*k + n - 163. What are the prime factors of k? 3 Suppose 0*a + 4*h = 5*a - 28, a - 4*h - 12 = 0. Suppose -5*w = -3*o - 38, o = a - 5. List the prime factors of w. 7 Let c(z) = -z + 3. Let s be c(1). Suppose -h + 7 + s = 0. Suppose l - h - 23 = 0. List the prime factors of l. 2 Suppose -2*d + 2*l = 2*d - 276, -3*d + 5*l = -193. Let c(v) = 2*v**2 - v + 2. Let r be c(-3). Let w = d - r. What are the prime factors of w? 2, 3 Suppose -5*g = 3*x - 13, -x - 4*x + 7 = g. Let w be (1 - -5) + g + 1. Suppose -b + w + 21 = 0. List the prime factors of b. 2, 3, 5 Suppose 2*t + 4*n - 6511 = 1819, -5*t + 5*n + 20870 = 0. List the prime factors of t. 43, 97 List the prime factors of (-23)/((-621)/33138) + 1/(-3). 3, 409 Let u = -89 - -91. Suppose 136 + 268 = u*f. What are the prime factors of f? 2, 101 Let x = 11997 + -8048. List the prime factors of x. 11, 359 Let w(o) = -51*o + 33. What are the prime factors of w(-9)?
{ "pile_set_name": "DM Mathematics" }
-5*p = u - 169, 7*p = 8*p - 3*u - 21. Solve -270 = 12*r + p*r for r. -6 Let q(s) = 13*s**3 + 8*s**2 - 5*s + 4. Let l be q(2). Solve 13*f = 91 - l for f. -3 Let m be (22 - 25)*((-4)/12 - 0)*17. Solve -108 + 23 = -m*h for h. 5 Let v(j) = 2*j**2 + 331*j + 2526. Let n be v(-8). Let f = -8 - -2. Let t be 2/(8/f + 2). Solve n = -t*s + 3 for s. -1 Suppose 397 = 26*z - 398 + 145. Solve 22*h - z = 63 for h. 4 Let r(d) = 14*d**2 + 291*d - 59. Let x be r(-21). Solve -318*p - x = -320*p for p. 2 Let z(a) = -5*a - 18. Suppose -5*j = 10 + 10. Let u be z(j). Solve 4*o + u = 10 for o. 2 Let k(w) = w**3 - 10*w**2 - w + 10. Let t be 3/((-12)/(-10) + -1). Suppose 0 = -18*j + t*j + 30. Let v be k(j). Solve 0 = -4*p - 8 - v for p. -2 Suppose -297*y + 50444 = -21258 + 10223. Solve -19*m - y = -321 for m. 6 Let u be (2 + 1)/(1/(-95)*-5). Let y be (-7)/7 - (0 - -1)*u. Let g = 61 + y. Solve g*o - 2*o = 3 for o. 3 Let k be ((-720)/(-42))/((-104)/364). Let s = -11 + 8. Let x be (s/4)/(1/k*5). Solve -x*f = -10*f for f. 0 Let z(f) = -f + 9. Let m be z(0). Suppose 0 = 8*g - 12*g + 4*y + 1144, 2*g + y = 572. Let t = g + -265. Solve -3*r = -m + t for r. -4 Let j = 437 - 428. Let h be (-8 + -1)/((-3)/2). Solve b + h = j for b. 3 Suppose 0 = 4*d - 12, -8*y - d - 3111 = -11*y. Solve 3*f = 1044 - y for f. 2 Let l(p) = -6*p**2 - 95*p + 36. Let d be l(-16). Suppose -d + 880 = 43*n. Solve 5 = 15*f - n*f for f. -1 Let g be (-34)/(-2805)*5 + (97/33 - 3). Solve -141*m + 127*m + 56 = g for m. 4 Suppose 34*x - 104*x + 2450 = 0. Solve x*g + 164 + 11 = 0 for g. -5 Let w be (-3*1 - -2)/(9 + 640/(-70)). Solve -w*q + 31 = 59 for q. -4 Let y = 3351 - 3330. Solve -15*d - y*d - 36 = 0 for d. -1 Let c be (-22)/(-671) - (24 + (-30702)/1281). Suppose 4*j + 3 = 19. Solve c = y - 1 - j for y. 5 Suppose 70911 = -12*n + 92*n + 22431. Solve n*o - 608*o = 14 for o. -7 Suppose 5*j = -4*k + 107 + 8, 0 = 5*k - j - 151. Solve -k*w - 34*w + 192 = 0 for w. 3 Let l(d) = -d**2 + 13*d - 61*d + 22*d - 46. Let h be l(-24). Solve 0 = 4*r - 6*r + h for r. 1 Let f = -395 - -403. Solve -3 = -f*o + 5 for o. 1 Suppose -931 = -556*t + 507*t. Solve -t*k - 42 = -4 for k. -2 Let d be 60 - (-12 + 18 - 18 - -9). Solve -72*n - 9 = -d*n for n. -1 Suppose r - 23 = -19. Suppose -2*z = 2*b - 2, -2*b - 1 = 5*z - 0. Solve -b*l + r = 12 for l. -4 Let n = -32 - -33. Let j be (15/6)/(n/(-4)). Let u be 216/45 + (-2)/j. Solve -u*l - 16 + 6 = 0 for l. -2 Let y(q) = -38*q - 844. Let c be y(-23). Solve 0 = 37*d - c*d for d. 0 Let r(l) = 3*l**3 - 4*l**2 + 3*l + 3. Let u(i) = 2*i**2 - 9*i + 12. Let c be 5/((-5)/(-3)) + 3/(-3). Let m be u(c). Let t be r(m). Solve t = 5*x + 2 for x. 3 Let s be (11 - 8)*(44/6 - 2). Suppose 2*b = 10*b - s. Solve -1 = -b*w + w for w. 1 Let i be ((-42)/(-18) - -2) + (-1)/3. Suppose 0 = -5*u + i + 36. Solve 0 = 5*x - 12 - u for x. 4 Suppose -68*w - 184 = -51*w - 1204. Solve 3*x = -w + 57 for x. -1 Suppose -4*s - 19 + 133 = o, s - 1 = 0. Suppose 29*m = o + 180. Solve -8*v = -13*v - m for v. -2 Suppose 11*a = 4*a + 56. Suppose 0*d = a*d - 584. Suppose 0 = -4*c + d - 57. Solve -5*h + c = -6 for h. 2 Let m be (8 + -2)*(-7)/((-63)/6). Let k(o) = o**2 + 1 - 4 - 5*o + 2 - 3. Let l be k(6). Solve 6 = l*j + m for j. 1 Suppose -10*c + 7*c - 3 = 0, 3*g = 2*c + 26. Solve -17*k = -9*k - g for k. 1 Let s be 40*(4 - 18/4)*(-12)/5. Solve -120*i + 108*i = s for i. -4 Let g(w) = -w**3 - 2*w + 5. Let t be g(0). Suppose t*h = k - 28, -k - 2*h + 5 = 12. Suppose -s - 2 - 5 = -2*l, -k*l + 13 = s. Solve -2*j - s = -3 for j. 1 Suppose -15*y = 369 - 909. Solve -16 = -32*n + y*n for n. -4 Suppose -4 - 22 = -4*p + 2*b, -40 = -5*p - 5*b. Solve 56*o - 63*o + p = 0 for o. 1 Let q = 161 - 146. Suppose 0 = -7*s + q*s. Solve s = r + 4*r for r. 0 Let j(p) = -p**2 - 6*p + 9. Let q(b) = -b**2 - 7*b - 7. Let g be q(-7). Let n be j(g). Let x = 626 + -626. Solve -n*c + c - 1 = x for c. -1 Let n = 236 + -176. Suppose -543*m + n = -538*m. Solve m*l = 9*l for l. 0 Suppose -141*o = -143*o + 1828. Let a = -895 + o. Solve 8*p + 5 = -a for p. -3 Let a(w) = -3*w + 51. Let t be a(12). Let j be ((-2 - -1) + -1)*-5. Suppose n + p = j, -4*n - p + 3*p = -10. Solve 0*k - t = -n*k for k. 3 Let d(y) = 25 + 2*y - 4*y - 13 + 21. Let b be d(14). Suppose 0*v + 2*j = -3*v + 18, -b*v + 5*j = -5. Solve v*n - 10 = -n for n. 2 Let f be (-1)/4 - (-189)/36. Let c = -6442 + 6447. Solve -c*l - 5 = f for l. -2 Suppose -807 = -38*d + 1245. Solve d = 59*v - 41*v for v. 3 Let m be (26*7/(-7))/(-6 - -4). Solve r + 12 = m for r. 1 Suppose 0 = -10*u + 16*u - 30. Suppose d + u*t - 4 = 0, 2*d - 32 = -d - 5*t. Let w = -3 - -7. Solve -5*s - w = -d for s. 2 Suppose 108 - 382 = -4*j + 2*t, 0 = 2*j + 7*t - 193. Solve -170 = j*s + 190 for s. -5 Let p be (-50)/(-2)*(-9 - (11 + (-408)/20)). Solve -18*m + 16*m - p = 0 for m. -5 Let o be 2 + (13 - -1) - 0. Let m = -9 + o. Let y be 3 + -2 + (m - 6). Solve -k + y = k for k. 1 Suppose -97*c + 1124 = -2368. Solve -5*g = 7*g + c for g. -3 Let x(r) = 61*r - 1068. Let u be x(18). Solve -15 - 15 = -u*a for a. 1 Let n(a) = 0*a**2 + 177 - 183 + 3*a - 5*a + 2*a**2. Let x be n(4). Suppose 3*w + x = 3*p, 2*p + w = -w + 16. Solve -p*m = -4*m for m. 0 Suppose u + 152 = -3*b, 728 = -5*u - 5*b + 6*b. Let a = u - -148. Suppose 3*g = -5*y + a, 0 = -3*y + 4*g - 6*g + 1. Solve 2*w = -1 - y for w. -1 Suppose 5*x + 0*x = 30. Suppose 21 = -2*b + 3*h, h - 7 = 5424*b - 5420*b. Solve x + b = 6*v for v. 1 Suppose 5*p + 3*l = 250, 93*l - 92*l = -2*p + 99. Solve -53*i = -p*i + 18 for i. -3 Let g = 22 - 47. Suppose 92*t - 432 = 76*t. Let i = g + t. Solve -i*c + 8 = -0 for c. 4 Let i be (1 - -2)/(((-14)/8)/(371/(-159))). Solve -4*k = -24 + i for k. 5 Let w be (-2 + 0)*13/(-2). Let m = 20106 + -20106. Solve m = -11*d + w*d for d. 0 Let g(m) = -m**2 - 36*m - 76. Let p be 60/(-9)*(-192)/(-40). Let t be g(p). Solve 3*q + 61 = t for q. -3 Suppose 286*g = -2*m + 288*g + 24, -3*m - 2*g + 61 = 0. Solve -m*h = 116 - 31 for h. -5 Suppose -b + 4 = b - 2*w, 3*w = -2*b + 9. Let t(y) = -6*y + 52. Let a be t(6). Solve -a = -b*o + 7*o for o. -4 Let f be (2/(-6))/((-2)/12). Let t(r) = r**2 - r - 1. Let g(u) = -u**3 + u**2 - 2*u + 6. Let d(v) = -g(v) + 6*t(v). Let y be d(-5). Solve -5*o = -f - y for o. 2 Let v(j) = 7*j - 11. Let t be v(-5). Let z = -41 - t. Suppose -5*c + z = -10. Solve -2*u - 3 = -c*u for u. 3 Suppose -26 = -20*y + 19*y. Let x = 30 - y. Let j(t) = -t + 4. Let l be j(x). Solve -9 = -3*u - l*u for u. 3 Let s be 4*25/(-60)*3. Let l(g) = g + 10. Let c be l(s). Suppose o = 2*o + 5*a + 12, -c*o - 5*a = 0. Solve o*p + 4 = 2*p for p. -4 Suppose 0 = -2*v + 5*h - 9 + 43, 4*v + 3*h - 16 = 0. Let g be 1 - 4 - (3 + -34). Suppose 4*m - g = 60. Solve v = -5*b + m for b. 3 Let t = 3163 + -3148. Solve -t*q - 21 = 24 for q. -3 Let h(g) = g**3 + 12*g**2 - 27*g + 18. Let x be h(-14). Suppose 15 = -2*k - 3*o, 0 = 2*k - x*o - 0 - 20. Solve k*y = -4*y - 12 for y. -3 Let y(l) = -13*l - 14. Let d be y(-5). Suppose -6*k - d = 477. Let x = 94 + k. Solve -3*s + s = x for s. -3 Let d(g) be the third derivative of -5*g**4/6 + 37*g**3/3 + 61*g**2. Let f be d(3). Solve 4*l + 10 = f*l for l. 1 Suppose -3*x = -2*k + 1 - 0, -2*k + 4*x - 2 = 0. Suppose 20 = k*p - 0. Suppose 180 = -9*z + 99*z. Solve -t + z*t - p = 0 for t. 4 Let y be 0/(-7 - -15)*2/8. Suppose 2*a - 2*s - 60 = 0, -2*s - 135 = -5*a - y*a. Solve 0 = -50*g + 45*g + a for g. 5 Suppose -103*z + 1674 = -77. Solve 0 = -z*n + 11 - 113 for n. -6 Let j be (-72)/(-5) + (-807)/(-1345). Solve -j = -95*d + 80 for d. 1 Suppose -34*w = -37*w + 3*u + 120, -u - 87 = -2*w. Solve -65*h + w*h = -72 for h. 4 Suppose 61*b - 8 = 57*b, -3*b - 68 = -2*i. Solve 92 = -i*q - 9*q for q. -2 Let a(l) = -l**2 - 12*l + 25. Let n be a(-13). Suppose 0 = -3*c + 7*c + 8. Let f be -3 + (c - -9 - -1). Solve f*k - k - n = 0 for k. 3 Let k = 15904 + -15888. Solve 10*g - 26*g - k = 0 for g. -1 Suppose -19*t - 140 = -24*t. Suppose -69 + 13 = -t*l. Solve 0 = l*j - 5*j for j. 0 Suppose -11*z = z + 61 - 73. Solve 39*l = 79 - z for l. 2 Let v be 6 + (-10)/(130/(-117)). Solve -15*r = -10*r + v for r. -3 Let a(l) = -l**3 - 40*l**2 - 38*l + 64. Let h be a(-39). Suppose -5*o - h = 0, 122*u - 125*u + 2*o = -16. Solve -c - c = u for c. -1 Let m = 513 + -511. Suppose w - h = -2, 14*h - m = -2*w + 13*h.
{ "pile_set_name": "DM Mathematics" }
ive p. 2 Express 12*v**3 + v**3 + 30*v + 6*v - 23*v**3 + 9*v**3 - 3*v**4 in the form a + x*v**2 + n*v**3 + o*v + f*v**4 and give n. -1 Express 1045227 + 96*m - 1045227 in the form s + p*m and give p. 96 Rearrange (1 - 3 + 4)*(27914*o**3 + 3*o**2 + 26*o**4 - 27914*o**3) to the form h*o + t*o**4 + p*o**3 + z*o**2 + q and give t. 52 Express (149 + 18 - 30)*(-4 + 3 + 0*o + o)*(2*o - 4*o + 0*o) in the form b*o + s*o**2 + c and give b. 274 Express -6 - 2*f**3 - 13*f + 9 + 14*f in the form l*f**3 + k + v*f + b*f**2 and give l. -2 Express -8*m**2 - m**2 - 4*m**3 + 204 - 204 as z + i*m**3 + v*m**2 + t*m and give i. -4 Express -4*s**2 + 4 + 14*s - 5*s**2 - 4 - 3*s**2 as n*s + v + r*s**2 and give n. 14 Express -1217 + 203*c + 1217 + (3*c - 2*c + 0*c)*(3 - 2 + 1) as v + d*c and give d. 205 Express (0 + y + 0)*(13 - 27 - 593*y + 13 + 1) as a*y**2 + h + b*y and give a. -593 Rearrange 0*n + 0*n + 3 - 33*n**2 + 28*n**2 to the form u*n**2 + r*n + s and give s. 3 Rearrange (-a - 7*a**2 + a)*(0 - 1 + 0)*(9 + 1 + 1) to the form h*a**2 + f + d*a and give h. 77 Express (-1 - 1 + 3)*(-975 - 491 + 301)*(4*i - 4*i + 2*i**2) as z + s*i + v*i**2 and give v. -2330 Rearrange 33*o**3 + 1 - 208*o**3 + 3*o + 34*o**3 to the form s + j*o + i*o**3 + c*o**2 and give i. -141 Rearrange -6*d**2 - 10 - 3*d**3 + 25 + d**3 to r + m*d**2 + u*d + b*d**3 and give u. 0 Express -5*k**4 + k**4 + k**4 + (88*k**2 + 55*k**2 - 10*k**2)*(-k**2 + 0*k**2 + 2*k**2) as i + q*k**3 + p*k**4 + s*k + h*k**2 and give p. 130 Express (-284 + 284 + 23*d)*(0*d + 0*d - 4*d)*(-2 - 5 + 6)*(3 - 1 - 3 + (1 - 4 + 4)*(4 - 4 - 2)) in the form w*d + s*d**2 + o and give s. -276 Rearrange (-3*a**2 + 3*a**2 - a**2)*((5*a + 0*a - 3*a)*(3 - 11 + 0)*(-88 + 127 - 117) + (2 - 2 + 2)*(a - 1 + 1)) to o*a + j + l*a**3 + g*a**2 and give l. -1250 Rearrange -69 - 6*a - 2*a + 146 - 76 to x + s*a and give x. 1 Rearrange 333*g**2 - 407*g - 388*g + 795*g to the form p*g**2 + b + u*g and give p. 333 Rearrange 49*x**2 + 3*x**3 - 2*x**3 - 1 - 3841*x + 3839*x to w*x + r*x**2 + t + u*x**3 and give w. -2 Rearrange 168000*q**4 + 0*q**2 - 168003*q**4 + 2 - 2*q**3 - 5*q**2 to a*q**4 + m*q**3 + j*q**2 + s*q + t and give a. -3 Express (2*b - 3*b - 4*b)*(74 - 409 - 139) as x + g*b and give g. 2370 Rearrange (-3 + 1 + 3)*(2*h**4 + 3*h**2 - 3*h**2)*(-1077 - 1152 + 772) to w*h**2 + p*h + f*h**4 + s + j*h**3 and give f. -2914 Rearrange q**2 + 2*q**2 + 22*q**3 - 24*q**3 - 3 + 8 to the form m*q + a + v*q**3 + o*q**2 and give o. 3 Rearrange (v - v - 2*v)*(4 + 0 - 2) + (-26 - 4 + 17)*(4*v + 2 - 2) to the form m*v + k and give m. -56 Rearrange -660*u + 46*u**4 + 0*u**2 + 8 + 658*u + 0*u**2 + 3*u**4 to l*u + t + w*u**3 + j*u**2 + a*u**4 and give t. 8 Express (2*q**3 - q + q)*(5 - 1 - 1)*(0 + 0 - q) - 151*q + 151*q + 122*q**4 as o*q**3 + r*q**2 + g*q**4 + n*q + s and give g. 116 Rearrange c**2 - 10*c**4 - c**2 + (-2*c + 0*c + c)*(0 + 0 + 3*c**3 + (0*c**3 - 2*c**3 + 0*c**3)*(0 + 7 - 5)) to v + a*c**4 + d*c**3 + f*c + j*c**2 and give d. 0 Express -35*s + 22*s**2 + 58*s + 87*s - 14*s**2 - 7*s**2 in the form z*s + r*s**2 + o and give r. 1 Express 2*a**2 + 0 + 109*a**4 - 98*a**4 - 2*a**3 + 1 + 0*a**3 as w + c*a**2 + h*a + n*a**4 + b*a**3 and give n. 11 Express -h**2 + 9 + 0 - 1 - 3 - 4 + 10*h + h**3 - 37*h**4 as u*h**2 + d + w*h**4 + f*h**3 + y*h and give w. -37 Express (-2*n + 2*n - 2*n**2)*(1840 - 1840 - 203*n**2) as b*n**2 + f*n**3 + u + g*n + l*n**4 and give l. 406 Rearrange -8078 + 33*b**2 + 8078 + 8*b + 36*b**2 to u + s*b**2 + z*b and give s. 69 Rearrange (-3*u**2 - u**2 + 9*u**2)*(-14 + 33*u + 7*u + 17) to the form d*u**2 + k*u**3 + t*u + a and give d. 15 Rearrange (-1 - 4*o + 3*o - 1)*(-1 + 0 + 0)*(-1 + 2 + 1)*(101*o - 92 + 92) + (0 + 0 + o)*(2*o + 2*o - 3*o) to the form b*o + m + k*o**2 and give b. 404 Express 7*h + 0 + h**3 - 13*h**4 - h - 2*h - 2 - 3*h as g*h**2 + o*h + u*h**3 + c*h**4 + s and give c. -13 Express -2*p**2 + 3*p - 3*p**2 + p**2 + 3*p**2 - 4*p in the form i*p**2 + n*p + b and give n. -1 Rearrange -36 + 1 + 7*p - 4*p + 3 to h + k*p and give h. -32 Rearrange (5*n + 2*n**3 + 22*n - 12*n)*(23 - 8 - 2) to the form z + p*n**2 + l*n + y*n**3 and give y. 26 Express 2*a - 8*a**2 + 11*a**3 + 10*a**2 - 7*a**3 - 4*a**2 - 3 + 0*a in the form c*a**2 + h + d*a + t*a**3 and give d. 2 Rearrange 139*n - 4*n + 99*n - 30*n to r*n + h and give r. 204 Express -2*l**4 + 3*l**3 + 22*l**2 + 7 - 21*l**2 + 22 in the form u*l**2 + b*l + z + p*l**4 + v*l**3 and give v. 3 Express (0 + 2*o**2 + 0)*(o + 0 + 0) + o**2 + o**3 - o**2 + 3*o**3 + 0*o**3 - 2*o**3 - 4*o**3 - 14*o**3 + o**3 as x + g*o + f*o**3 + y*o**2 and give g. 0 Rearrange (-4*q - 4*q + q)*(3 - q - 3) - q + q**2 + q + (0*q + 0*q - q)*(-48 - 6*q + 48) to the form c + u*q**2 + m*q and give u. 14 Rearrange -1 + 11*t + 0 + t - 10*t + 14 to the form j + w*t and give j. 13 Rearrange (-1 + 2*o**4 + 1)*(-1 + 2 + 1) + 85*o**4 - 167*o**4 - 426*o**4 to f*o + n*o**2 + b + s*o**4 + d*o**3 and give s. -504 Express -2*r**2 - 3 - 23*r + 1 + 47*r - 35*r**3 - 25*r in the form c*r**3 + x*r**2 + s*r + j and give j. -2 Rearrange 18*t**2 - 8*t**2 - 8 + 8 + 10*t + 94*t**2 to y*t + g + i*t**2 and give y. 10 Rearrange -64 - 65 + 193 - 50 - 8*y to the form m*y + w and give m. -8 Rearrange (46 + 9 - 17)*(1 + 1 - 3)*(31 - 3*o**3 - 31) to y*o**3 + r*o**2 + m + f*o and give m. 0 Rearrange -3 - 3*j**2 + 3 + (j + 0*j + j)*(4 + 2*j - 4) + j**2 + j**2 + 0*j**2 + 3*j**2 - 4*j**2 + 0*j**2 - 7*j**2 + 83*j - 83*j to b*j**2 + h + l*j and give b. -5 Rearrange (-2*o + 3*o + o)*(2*o**2 + 3*o**2 - 3*o**2) + (-3*o**3 + 170*o**3 + 784*o**3)*(1 - 2 + 2) to n*o**2 + s*o + j + t*o**3 and give j. 0 Rearrange -3*c - 5628*c**4 + 8*c**2 + 0 - 2 + 3*c**3 + 5626*c**4 to the form v + l*c**3 + p*c + z*c**2 + k*c**4 and give k. -2 Rearrange -1856*z**2 - 3 + 4 + 1918*z**2 to the form f + v*z**2 + q*z and give v. 62 Rearrange -3*k**2 - 18 + 12*k**2 + 2*k**2 to v + b*k**2 + j*k and give b. 11 Express (0 - 4 + 0 + (-2 + 0 + 0)*(-1 + 1 + 5))*(v - 2 - 4*v + 0) as o + p*v and give p. 42 Rearrange (q + 0 - 2 - 2*q)*(73*q - 101*q - 123*q)*(-3 - 2*q + 3)*(-3 + 6 - 1) to z*q**3 + p + t*q + l*q**2 and give l. -1208 Express -4*y**3 + 4*y**3 - 37*y - y**3 + (-2*y**3 - 4 + 4)*(3 + 1 - 2) + 0*y**3 + 3*y**3 + y**3 in the form g*y**2 + l*y + v + q*y**3 and give q. -1 Express -3*g + 1283*g**2 + 4 - 2 - g**4 - 3*g**3 - 1280*g**2 as x*g**4 + f*g + m*g**2 + t + h*g**3 and give x. -1 Express (-4*t - t + 4*t)*(-2 - 1 + 1 + (1 - 3 - 1)*(-35 + 8 + 80)) as o*t + d and give o. 161 Express (17*q - 6*q**3 - 17*q)*(-6 + 4 + 4 + 45*q) + 3*q**4 - 4*q**4 + 3*q**4 as d + l*q + h*q**3 + v*q**4 + r*q**2 and give v. -268 Rearrange 5*i - 3*i + 2*i + 1 - i - 1 + (-2 - 1 + 5)*(-19*i + 20*i + 7*i) + 4*i + 2*i - 4*i + (-3 + 2 - 1)*(i + 5*i - 4*i) to w + a*i and give w. 0 Express -1 + 4 - 15 - 27 - 3*g in the form n*g + q and give q. -39 Express 409*v**4 - 9*v + v**2 - 2*v**3 - 408*v**4 + 9*v - 6 as t*v + a*v**4 + p*v**3 + m + u*v**2 and give u. 1 Express 4 - 70*d**2 - 12 + 1036*d**2 + 8 as x*d + z*d**2 + o and give z. 966 Express (2*m**2 + 2*m**2 - 2*m**2)*(-6 + 6 - 3*m)*(0*m - 4*m + 6*m) - m**4 - 7*m + 7*m as v*m**4 + a*m**2 + i*m + r*m**3 + d and give v. -13 Rearrange 16*g**4 + 2*g**3 - 4*g**2 - 3*g**4 - 3*g**4 - 4*g**4 - 3*g**4 - 4*g to s*g**4 + b*g + a + p*g**3 + n*g**2 and give p. 2 Rearrange (-i**2 + 7*i**2 + 3*i**2)*(6 - 4 + 3)*(-52*i + 42*i - 25*i) to the form w*i**2 + q*i + s + l*i**3 and give l. -1575 Rearrange 236*l - 23 - 17 + 40 to the form f*l + x and give f. 236 Express 71 - 2*s - 71 + 55*s**2 as p*s**2 + g*s + k and give k. 0 Rearrange 11*v - 6*v - 1 + 0*v - 1 to the form f*v + a and give a. -2 Express 9*t - 12*t - 12*t - 8*t + 3 in the form v + a*t and give v. 3 Express (-100 + 2496*x + 229 - 129)*(3*x - 3*x + 2*x) in the form d*x**2 + n + k*x and give d. 4992 Rearrange 8*a**3 - 2 + 2*a**3 + 8*a**3 + 17*a**3 to the form k + h*a + m*a**2 + x*a**3 and give k. -2 Express (4 + 1 - 3)*(1 - 1 + 5)*(-2 - 7*q + 2 - 1) + (0*q - 4*q + 5*q)*(-4 + 4 + 5) in the form s*q + m and give s. -65 Express 10*h**2 - h**3 + 10*h**2 - h**2 + 6 - 8*h**2 + 5*h**2 as x*h**2 + n + u*h**3 + m*h and give n. 6 Express -34 - 2*h**2 + h**3 + 45 - 4*h**2 + h - 20 + 0*h**3 in the form f*h**3 + u + t*h + z*h**2 and gi
{ "pile_set_name": "DM Mathematics" }
-28*c - 43 = -31*c - 0*v + v - 14 for c. 2 Solve -5*o + 654937 - 654928 = -12*g, 0 = -2*g + 4*o - 30 for g. 3 Solve -107*o - 4*k = -123*o + 16, -5*o - 41*k - 2*k + 7*k = 591 for o. -3 Solve 6*c - 2 = 4*c + 9*n + 1, 644*n = 3*c + 641*n + 6 for c. -3 Solve -3*s = -3*v - 14669 + 14765, 5*s = -5*v + 110 for s. -5 Solve 0*j - 3*z + 1966 - 2056 = 3*j, -5*z = 6*z + 341 for j. 1 Solve -3*z - 2*y = -30, -5*z = 3*y - 48462 + 48416 for z. 2 Solve -z + 2*g = 12, 606*z - 609*z + g - 5 = 1 for z. 0 Solve 3*b + 10 = -5*w + b + 1 - 23 - 3, 3*b = 0 for w. -7 Solve -139*z = -v - 8*z, -4*v - 74*z + 72*z = 0 for v. 0 Solve 2*s - 177 = -4*y + 64 - 77, 0 = -2*y + 4 for s. 78 Solve 10*k + k + 8 = 11*k - 2*d, 3*k - 6*d + 6 = 0 for k. -10 Solve 64 + 78 = 2*r + 8597*m - 8599*m, 5*m = -355 for r. 0 Solve 0 = -w + 4*u - 3976 + 3938, -5*w - 2*u - 102 = 0 for w. -22 Solve -900*x = -904*x - 5*g + 106, 2*x - g - 60 = 0 for x. 29 Solve 5*g + 0*g - g = -11*r - 116, -g = r + 8 for r. -12 Solve 0 = -16*f - 5656*j + 5653*j - 82, -2*j - 42 = -2*f for f. -1 Solve d = 3*x + 331 - 355, 625 = -3*d + 88*x for d. -3 Solve 2507*i = -y + 2503*i + 18, 19*i = 3*y + 101 for y. -2 Solve -136 = 27*b - m, 2*b + 236*m + 98*m - 336*m + 12 = 0 for b. -5 Solve 0 = 3*v + h - 4368 + 4399, -873 = -147*v + 3*h for v. 5 Solve -2*z + 3*u - 7 = -2, -24*z + 26*z = -2*u + 20 for z. 5 Solve -j - 4*j - 71 + 1 = 2*r, -2*j = 5*r + 28 for r. 0 Solve 5*k + 25 = -30*g, 35 = 5*k - 5*g + 25 for k. 1 Solve -x - 6 = 3*x - r + 12 + 10 - 8 + 4, -27*r = 0 for x. -6 Solve 4*k + 4 - 43 = 6*u + 13, -5*k + 21 = -2*u for k. 1 Solve -x - 2 = w - 40, 207 = -12*x - 423*w + 428*w for x. -1 Solve 0 = 14*j + v - 31, -4*j + 4*v - 151 = 4*v + v - 142 for j. 4 Solve -165*w + 163*w = 2*v - 14, 5*v + 2*w - 15 = 14 for v. 5 Solve 2*t + 21*w - 15 = 41 + 35, 2*t + 5*w = 43 for t. 14 Solve 0*s + 2*k + 203 = 3*s - 4*k - 7, 5*s = 3*k + 98 for s. -2 Solve 117*u + 13*b + 916 = -10*b + 18*b, -4*b + 8 = u for u. -8 Solve 2*g - 17*j + 384 = 0, 2*g - j + 14 + 14 = -4 for g. -5 Solve -5*n + 3*n = -3*l + 82, -5*n + 230 = -76*l + 83*l for l. 30 Solve 29 = o + 114102*x - 114106*x, -2*o + 55 = -5*x for o. 25 Solve -n - 3*h - 12 = 4*h - 4*h, -2*n = 4*h + 16 for n. 0 Solve b - 175*t + 27 = -173*t, 2*t - 45 - 11 = 2*b for b. -29 Solve -20*s = t - 465, -4*s + 237*t + 232*t - 466*t = -77 for s. 23 Solve t + 11 = 5*t + 5*f + 32, -3*t - 2*t + 2*f = 51 for t. -9 Solve 0 = t - 4*g - 25, 2600*t - 273*g = 2600*t + 1638 for t. 1 Solve 3*g = -132*h - 27, 3*g + 4*h + 1105 = 1078 for g. -9 Solve -2*c - c = -5*s + 14, 0 = 68*c + 637*s - 634*s + 201 for c. -3 Solve 2*o - 2*f - 12 = 0, -6006*o + 3007*o = -3003*o - 5*f - 3 - 36 for o. -1 Solve -5*h = 3*g - 7, 4*h + 22802 = g + 22777 for g. 9 Solve 123 = -6*q + 4*k + 45, -12*q + 10*q + 54 = 4*k for q. -3 Solve m + 21743 = -143*b + 144*b + 21734, -2*m = 5*m + 3*b - 57 for m. 3 Solve -240157*w + 240162*w + 3*c + 303 = 0, 0 = 3*w + 6*c + 186 for w. -60 Solve -144459*f + 144455*f = o - 16, -8 = -o + 4*f for o. 12 Solve 15*x - 6*x - 18 = 4*x - j, -4*x + 188*j - 1496 = 0 for x. 2 Solve 84*t - 26*t = -5*d + 120, 348 = 9*d - 5*d - 4*t for d. 82 Solve 0 = -11*y - 5*y + 15*y + 90*a - 196 - 65, 3 = 2*y - 5*a for y. 9 Solve -22*s - 3*a - 15 + 5 - 3 - 7 = 21, 3 = 3*a for s. -2 Solve 19*s - 17*s = 73*o + 653, 2*o = -3*s + o - 15 for s. -2 Solve u - 4*z = -0*z + 7, 4*u - 25*z - 2298 + 2185 = -26*z for u. 27 Solve 0 = f - 192*v + 207*v + 27, 4*v + 148 = 4*f for f. 33 Solve -1355*q = 5*n - 3557*q - 10, 4*q - 14 + 4 = -5*n for n. 2 Solve 3*r = f + 23, 24*r - 58*f + 57*f - 323 = -58*r + 19*r for r. 5 Solve -931*r - 2*c - 128 = 2*c, -4*r - 3*c - 40 - 38 = 18 for r. 0 Solve 51*d + 2*q + 3 - 16 = 47*d + q, -11*d = -5*q - 59 for d. 4 Solve -5*z = 167*i - 162*i + 145, -5*i + 5*z + 191 - 6 = 0 for i. 4 Solve s + 8 - 20 = a, -5*a - 5*s = -481 + 431 for a. -1 Solve 226*g + 80 = 4*f - 2*f, -3*f + 120 = -210*g + 208*g for g. 0 Solve 2*h = -8, 24 - 85 = 20*g - 17*g + 4*h for g. -15 Solve 30 = 2*s + 2200*f - 2197*f, -5*s = 4*f - 40 for s. 0 Solve -3*c = 4*q - 29, 17813807*q = 17813810*q + 5*c - 52 for q. -1 Solve -52*s = -104*s + 47*s - 5*x + 185, -3*s + 152 = 4*x for s. -4 Solve j + 5*y + 8 = 0, 3*j + 274147 = 14*y + 274152 for j. -3 Solve -4*z + 32309 - 32345 = -68*s, 2*z + 2*s = 54 for z. 25 Solve 3*r - 135978393 + 135978398 = -7*a, 5*r + a - 13 = 0 for r. 3 Solve -p - 36 = -5*p, 2*c - p + 0 = 1 for c. 5 Solve 529 = -4*h + 4*a + 241 + 236, 0 = 3*h - a + 45 for h. -16 Solve 6781163*j - 6781156*j - 14 = q, 28 = -2*q for j. 0 Solve 45836*h - 5*d - 3 = 45838*h, -9 = -5*h + 4*d for h. 1 Solve 0 = -20*o - 40, -234749*o + 42 = -2*z - 234753*o for z. -17 Solve 0 = -14*v + 19*v - 7*n + 81, -11*v - 7 = -8*v - n for v. 2 Solve 9*s + 59 = -k, -23241 = 2*s - 23231 for k. -14 Solve -2*j = 46, -116*k - 90 = -118*k + 4*j for k. -1 Solve 2383*i = -o + 2388*i + 61, 7*o + i = 355 for o. 51 Solve -2*p - a - 91 = 4*a, -4*p - 4*a = 94 + 70 for p. -38 Solve 3*g + 19 = 2*r, -91*r - 27*r = -117*r - 2*g - 13 for r. -1 Solve 2*k - 4 = -5*b + 4*k, 2*b + 64*k = 70*k + 38 for b. -2 Solve -4802*y - 2 = -r - 4806*y, -29*y - 108 = -5*r for r. 10 Solve 8*j = 3*g - 7*g, -5*g + 149 = j + 167 for j. 2 Solve -83*r + 36*r + 3*n + 2*n = -4*n + 188, 2*n + 4 = -r for r. -4 Solve 68*h - 72*h + 24*d = 13*d + 9, 2*d = -4*h - 22 for h. -5 Solve -5*a - 5*f + 36 = -34, -1904*f + 1863*f + 656 = 0 for a. -2 Solve 137*u - 132*u - 1952*f - 70 = -1957*f, 0 = 4*f - 68 for u. -3 Solve 342991*g - 342992*g + 15 = 2*w, -2*w = -5*g + 87 for g. 17 Solve 319*v + 16*h = 317*v + 88, 0 = -3*v + 3*h - 315 + 285 for v. -4 Solve 4*z + 345 = 3*c, -26*c = 329264*z - 329262*z + 90 for c. 3 Solve -792 = 41*l - 19*l, -86*o + 81*o - 5*l - 68 = 87 for o. 5 Solve 6*b - 27 = -5*w, 696*b - 5*w - 2 = 349*b + 349*b - 21 for b. 2 Solve 0 = -2*h + 233*u - 156*u + 10, 3*h = -5*u + 15 for h. 5 Solve -17 = -2*z + l, -10*z + 0*l + 2245 - 2177 = -5*l + l for z. 0 Solve -2*k - o + 6 = -3*o, -30437*k + 30435*k = 3*o - 1 for k. 2 Solve 44*m + 342 = 2*f + 182, 4*f - 5*m = 71 for f. 14 Solve 5*g + 0 + 37 = 3*c, 3*g + 11*c + 4*c - 14*c - 31 = 0 for g. 4 Solve -55*o = -4*p - 54*o - 6, 0 = -2*p - o + 6 for p. 0 Solve -12*x - 7*b - 6 = 0, -4*x + 1461 = 5*b + 1447 for x. -4 Solve 120 = 4*l + 6674349*o - 6674351*o, -9*l + o = -277 for l. 31 Solve -48624*q + 29 = c - 48620*q, 0 = -3*c - c + 4*q - 24 for c. 1 Solve -3*g + 49 = -3*r + 94, 63*r - 213 = 2*g for r. 3 Solve x - 21 = 10*p + 16 - 10, -x + 3*p + 6 = 0 for x. -3 Solve g + 66 - 67 = 0, -13*i + 31 = 5*g for i. 2 Solve 5*l = -3823*b + 3828*b + 80, 0 = -14*l + 182 for b. -3 Solve -3*q + 6 + 10 = -5*j - 8 + 1 + 33, j = -74*q - 744 for q. -10 Solve p + 5*d = 29 - 55, 21*p - 2*d + 652 = -7*p + 10*p for p. -36 Solve 4*w = 40*u + 15*u + 67, -u = -7*u + 11*u + 4*w - 7 for u. -1 Solve -10*s + 5*z = 35, -87 + 48 = 4*s - 7*z for s. -1 Solve 590*i - 16 = y + 585*i, -2*y - 11*i + 25 = -2*i for y. -1 Solve -57*r + 30*r + 31*r = 3*t - t + 4, -3*r + 29 = 5*t for r. 3 Solve 0*c = -4*a + c + 87, -a + 14*c - 5*c = 4*c - 36 for a. 21 Solve w + 5*j = 73, 5*j - 1250 = 5*w - 1615 for w. 73 Solve 326 = -5*y - 4*r, 252926*y + 3*r = 252930*y - 2*r + 228 for y. -62 Solve -y + 2*v + 29 = 0, 45*v + 63 = -4*y + 338 for y. 35 Solve 4*u - 11 = x, -u = 167*x - 75*x - 88*x + 78 for u. -2 Solve 0 = 4*m - 52*s + 53*s - 111, -76 = -2*m - 4*s - 24 for m. 28 Solve -2*q - 561*v = -566*v - 1, -2*q + 3*v + 1 = 2 for q. -2 Solve -174*p + 168 = -178*p + 3*g, 0 = -4*p - 5*g + 9*g - 224 for p. 0 Solve 3*m + 2*t = m - 0*m - 16, -4*m - 12*t = 69*t + 8*t + 797 for m. 1 Solve -14*r + 3*q - 1986 = -963 - 958, 0 = -5*r - q - 17 for r. -4 Solve 256 = -q - 111*g, 5*q + 13*g = -4*g + 16*g - 172 for q. -34 Solve 3*j = 3*p + 3, 0 = 42*p - 4*j - 63 + 181 for p. -3 Solve -3 = -w, 11*a - 5*w - 10 + 7 + 1 - 47 = -5*a for a. 4 Solve -5*a = -2*h - 33, -3*a + 5*a + 3232*h - 7780 = a + 11621 for a. 9 Solve -202*k + 134*k - 3*z = 269, -2*k = -2*z + 2*z - 2*z + 10 for k. -4 Solve 3*d + 5 = k, 5*k - 8*d - 445 + 392 = 0 for k. 17 Solve -78*j + 73*j + 3*g + 9 = -2*j, 2*j = -3*g + 26 for j. 7 Solve -232*k = 30*a - 34*a + 3964, k - 4 = -5*a + 4 for k. -17 Solve 0 = 241*k - 239*k + 2*v + 4, -5*k + 3*v - 18 = 0 for k. -3 Solve 3*l - 6 = 6*h, -6*l - 3*h + 4 +
{ "pile_set_name": "DM Mathematics" }
lest common multiple of 14 and 18? 126 Calculate the common denominator of -41/73 and 47/6. 438 Calculate the lowest common multiple of 35 and 21. 105 What is the least common multiple of 105 and 3? 105 Calculate the least common multiple of 12 and 1758. 3516 Calculate the smallest common multiple of 1271 and 205. 6355 What is the common denominator of 23/352 and 103/288? 3168 Calculate the least common multiple of 50 and 40. 200 Calculate the least common multiple of 112 and 2142. 17136 Find the common denominator of -47/80 and -81/208. 1040 Calculate the common denominator of 55/351 and 29/39. 351 What is the lowest common multiple of 711 and 79? 711 Calculate the common denominator of -37/6900 and -54/575. 6900 What is the lowest common multiple of 70 and 126? 630 What is the least common multiple of 11 and 27? 297 What is the smallest common multiple of 380 and 204? 19380 Calculate the least common multiple of 10 and 634. 3170 Find the common denominator of 47/78 and -31/5. 390 What is the common denominator of -55/21 and -29/182? 546 What is the lowest common multiple of 236 and 14? 1652 Calculate the smallest common multiple of 280 and 368. 12880 Calculate the common denominator of -131/90 and -16/783. 7830 What is the least common multiple of 1212 and 2121? 8484 Calculate the common denominator of 55/5958 and 17/117. 77454 What is the smallest common multiple of 1030 and 220? 22660 Calculate the common denominator of -91/318 and -37/48. 2544 Calculate the common denominator of -101/336 and 23/12. 336 Calculate the lowest common multiple of 58 and 76. 2204 Calculate the smallest common multiple of 80 and 80. 80 Calculate the least common multiple of 33 and 255. 2805 What is the least common multiple of 11 and 180? 1980 What is the common denominator of 10/11 and -7/4? 44 Calculate the lowest common multiple of 51 and 12. 204 What is the common denominator of 23/3168 and -163/528? 3168 What is the common denominator of 28/59 and -97/118? 118 Calculate the least common multiple of 756 and 6. 756 What is the least common multiple of 684 and 96? 5472 What is the lowest common multiple of 55 and 55? 55 Find the common denominator of -65/16 and 67/10. 80 Calculate the common denominator of -59/286 and -85/26. 286 Calculate the common denominator of -43/16 and -37/9498. 75984 Calculate the common denominator of -95/28 and -35/264. 1848 What is the smallest common multiple of 35 and 49? 245 What is the smallest common multiple of 2580 and 1720? 5160 Calculate the lowest common multiple of 8 and 15462. 61848 What is the common denominator of -39/437 and 95/276? 5244 Find the common denominator of -53/72 and 67/1053. 8424 What is the smallest common multiple of 5 and 4? 20 Calculate the common denominator of 1/918 and -125/24. 3672 What is the common denominator of 71/5334 and 37/22? 58674 Calculate the common denominator of 19/68 and -119/80. 1360 Calculate the common denominator of 60/1337 and 6/955. 6685 Find the common denominator of 59/1005 and 47/1608. 8040 What is the least common multiple of 1106 and 474? 3318 Calculate the smallest common multiple of 108 and 12. 108 Calculate the common denominator of -87/34 and -58/7. 238 Calculate the common denominator of 75/94 and 1/1032. 48504 Calculate the smallest common multiple of 126 and 21. 126 What is the common denominator of -22/7 and -149/6? 42 Calculate the lowest common multiple of 2 and 161492. 161492 Calculate the common denominator of -23/72 and -70/81. 648 What is the least common multiple of 45 and 120? 360 Calculate the least common multiple of 220 and 120. 1320 What is the common denominator of 187/1500 and 41/152? 57000 Calculate the least common multiple of 12 and 3208. 9624 What is the least common multiple of 84 and 52? 1092 Calculate the lowest common multiple of 136 and 51. 408 Calculate the common denominator of 95/22 and 57/104. 1144 Calculate the common denominator of 34/3 and -4/27. 27 What is the lowest common multiple of 114 and 76? 228 Calculate the lowest common multiple of 220 and 132. 660 What is the common denominator of -91/138 and -173/60? 1380 Find the common denominator of 14/9 and 46/149. 1341 Find the common denominator of -3/608 and 9/11. 6688 Find the common denominator of -38/27 and -109/4344. 39096 What is the common denominator of 83/110 and -57/44? 220 Find the common denominator of -97/1298 and 37/10. 6490 What is the least common multiple of 44 and 1496? 1496 Calculate the least common multiple of 45 and 24. 360 Find the common denominator of 89/10 and 41/184. 920 What is the lowest common multiple of 48 and 20? 240 What is the smallest common multiple of 7 and 77? 77 Calculate the lowest common multiple of 1265 and 110. 2530 Find the common denominator of 11/390 and -95/6. 390 Calculate the least common multiple of 21 and 21. 21 What is the common denominator of 65/207 and -24/5? 1035 Calculate the common denominator of 49/936 and 17/16. 1872 Calculate the smallest common multiple of 7 and 4235. 4235 Calculate the lowest common multiple of 490 and 12. 2940 What is the smallest common multiple of 71 and 6? 426 Calculate the common denominator of 41/22 and -97/468. 5148 What is the common denominator of -43/1028 and -103/76? 19532 What is the common denominator of -40/23 and 44/7? 161 Find the common denominator of -131/2142 and 55/952. 8568 What is the common denominator of -71/60 and 27/4? 60 Calculate the least common multiple of 1298 and 10. 6490 What is the common denominator of 85/192 and 103/48? 192 Calculate the lowest common multiple of 16 and 506. 4048 Calculate the common denominator of -129/520 and -137/30. 1560 What is the common denominator of 13/53 and -91/6? 318 Find the common denominator of 47/270 and 5/72. 1080 Find the common denominator of 31/96 and -53/12. 96 What is the lowest common multiple of 54 and 18? 54 Find the common denominator of 89/60 and -71/90. 180 Calculate the least common multiple of 234 and 546. 1638 Calculate the lowest common multiple of 3740 and 396. 33660 Find the common denominator of -63/104 and 58/1833. 14664 What is the common denominator of -55/28 and 97/3864? 3864 What is the lowest common multiple of 20 and 702? 7020 Calculate the common denominator of -61/9 and -155/234. 234 What is the lowest common multiple of 44 and 352? 352 Find the common denominator of 93/2 and 34/151. 302 Calculate the lowest common multiple of 132 and 36. 396 What is the common denominator of -167/1218 and -59/106? 64554 Find the common denominator of 121/156 and 63/32. 1248 Calculate the common denominator of -71/870 and -32/725. 4350 What is the common denominator of -37/45 and 67/1530? 1530 What is the common denominator of 133/30 and 53/11? 330 What is the smallest common multiple of 20 and 2? 20 Find the common denominator of -65/297 and 53/108. 1188 Calculate the least common multiple of 35 and 56. 280 Calculate the smallest common multiple of 3 and 1375. 4125 What is the least common multiple of 649 and 236? 2596 Calculate the common denominator of -107/18 and -1/1026. 1026 Find the common denominator of -31/3846 and -4/5. 19230 Find the common denominator of 127/18 and 131/6. 18 What is the least common multiple of 10 and 14? 70 What is the common denominator of 11/1502 and 119/160? 120160 What is the smallest common multiple of 5019 and 3? 5019 What is the least common multiple of 126 and 14? 126 Calculate the common denominator of -139/12 and 63/136. 408 Find the common denominator of -67/1182 and -143/12. 2364 What is the common denominator of 61/870 and 119/24? 3480 What is the common denominator of 49/60 and 107/70? 420 What is the lowest common multiple of 234 and 18? 234 Find the common denominator of -69/1714 and -87/8. 6856 Find the common denominator of 91/20 and -109/80. 80 Find the common denominator of 71/132 and 52/27. 1188 What is the least common multiple of 123 and 18? 738 Calculate the smallest common multiple of 7724 and 16. 30896 Find the common denominator of 23/2 and 81/448. 448 What is the smallest common multiple of 165 and 135? 1485 Calculate the lowest common multiple of 44 and 1388. 15268 What is the smallest common multiple of 27 and 198? 594 Find the common denominator of 103/250 and 5
{ "pile_set_name": "DM Mathematics" }
vative of s**5/30 + s**4/12 + 5*s**3/2 - 6*s**2. Suppose 0 = 3*k - 5*x + 4, 33 + 1 = 2*k + 4*x. Is c(k) prime? True Suppose -22*a + 32 = -26*a. Let f be (-60435)/(-20) - (-6)/a. Suppose 5*k = 8*k - f. Is k composite? True Suppose 14*h - 32 = 38. Suppose 2*x + 2*x - 55812 = -h*f, -f - 55812 = -4*x. Is x composite? True Let o(l) = -20 + 7 + 30*l - 27*l. Let g be o(5). Suppose 5*n - g*s - 4587 = 0, -3*s = n - 398 - 533. Is n prime? True Suppose 5*v + g - 15 = 0, -2*v + 2*g + 12 = 2*v. Is 10900 + -7 + v + 7 a composite number? False Let z = -16230 + 286081. Is z prime? True Is (-2)/35 - (-444153547)/6335 a composite number? False Let k(t) = 400*t - 183. Suppose 14*b - 104 = 78. Is k(b) a prime number? False Suppose -r = 16 - 20. Suppose -n + 567 = -y, r*n - 2260 = -5*y + 7*y. Is n prime? True Let i(h) = h**3 + 114*h**2 + 26*h - 437. Is i(-108) prime? True Is (-15)/55 - (-10280598)/33 composite? False Suppose 0 = 5*h + 2*u - 23, -5*h - 5*u + 18 = -2. Suppose h*s = 0, 131824 - 43110 = 2*y - 4*s. Is y prime? True Suppose 179*n + 52263461 = 164885070. Is n prime? True Let k(u) = -u**3 - 12*u**2 + 10*u + 41. Suppose -5*r - 52 = -r. Let o be k(r). Suppose 0 = -3*f + 2 - 14, -o = -4*c - 5*f. Is c composite? True Let n be (-1 - -1)*(-98)/588. Suppose 6*t - 25233 - 4581 = n. Is t composite? False Let d(h) = -4*h**3 + 7*h**2 + 10*h + 2. Let n be d(-2). Let s = n - 46. Is s/((-12)/9)*137 prime? False Suppose -59866 = -3*c - 4*n, 2*n + 27664 + 32160 = 3*c. Is c a prime number? False Suppose -5*h - 2*w + 81012 + 302739 = 0, -2*h = 14*w - 153606. Is h a prime number? False Suppose -20*d + 159 = -17*d. Let t = -1241 + d. Let v = 2987 + t. Is v a composite number? True Let h(p) = 21*p - 128. Let j be h(7). Suppose j*d - 26427 = 16*d. Is d prime? False Let u = -590 - -1275. Is 381/(1385/u + -2) prime? False Suppose -7 = -6*a + 5. Suppose -a*k + 5*k = -2*h + 200, -2*k - 384 = -4*h. Suppose 3*g = 2*g + h. Is g composite? False Let z(t) = 11*t**2 - t - 13 + 7 - 21*t. Is z(7) a prime number? True Suppose 6*f = -h + 7*f + 4, 30 = 4*h + 3*f. Is (5/((-10)/(-20323)))/(3/h) a composite number? False Let q(p) = p**3 + 8*p**2 + 2*p - 15. Let k be q(-7). Is (-31470)/(-50) - 8/k prime? False Let v(a) = -30*a**3 - 3*a**2 - 19*a - 5. Is v(-4) a composite number? True Is (4 - -1) + ((-1)/2)/(2/(-92696)) composite? True Let w(u) = u**3 - 8*u**2 - 8*u + 11. Let s be w(9). Let z(o) = s*o + 7 - 26 + 50. Is z(18) a composite number? True Let d = 9 + -9. Let y be (-27 + 11)*(d + 1)/(-2). Suppose -4*z = -y*z + 492. Is z prime? False Let q = -76 - -84. Let b(z) = 37*z**2 - 3*z + 27. Is b(q) composite? False Let d(m) = 37*m + 26. Let q = 91 - 86. Is d(q) a prime number? True Suppose -824333 + 1118988 = 16*c - 5792017. Is c prime? True Let g = 5670 + -1926. Let l = g + -1585. Is l a prime number? False Let j(r) be the second derivative of r**4/12 - 4*r**3/3 - r**2 - 5*r. Let o be j(8). Is (-6)/o*1534/26 composite? True Let m(r) = 596*r + 14. Let b be m(-6). Let n be b/(-10) + 12/15. Suppose n + 8911 = 4*q. Is q a prime number? False Suppose 3*m = -p + 13831, -5*p + 33369 = 3*m - 35810. Is p composite? True Let u be (30/(-1) - -1)*(-11 + 10). Let h = u - 24. Suppose -5*b - 2143 - 1277 = -h*y, y - 678 = -b. Is y prime? False Let k be (-3595)/(-45) - (-5)/45. Is 2 + k/(-36) + (-128189)/(-9) a prime number? True Let v be 576/(-18) + (-2)/2. Let k be (-1)/3 + (-308)/v. Let u(g) = 2*g**3 - 10*g**2 - 10*g - 1. Is u(k) prime? True Suppose 0 = -4*b + 5*t + 308241, -116*b + 121*b + 4*t = 385373. Is b composite? False Is (20714/(-5))/((-292)/2190) a prime number? False Suppose -6*s - 5*t = -4795701, 2667221 + 529925 = 4*s + 2*t. Is s a composite number? False Let v(o) = o**3 - 12*o**2 - 14*o + 12. Let l be v(13). Let j = -14 - l. Is (-787)/(-3)*(-39)/j a prime number? True Let f(d) = 6*d - 168. Let b be f(36). Is (24/b)/(3/155646) a prime number? False Is ((-3234)/(-735))/(4/67330) a prime number? False Is (-45328)/24*(25/(-2) - -2) prime? False Let m be (-3 - (-602)/5) + (-4)/10. Let t = 113 + m. Let v = 444 - t. Is v composite? True Suppose -5*v = -0*v - 15, -3*k + 1314 = 4*v. Suppose r - w - 58 = k, 3*r + 4*w = 1511. Is r prime? False Let k(q) = 12256*q + 719. Is k(6) composite? True Let i(c) be the second derivative of 179*c**4/12 - c**3/6 + 3*c**2/2 - c. Let w be i(-2). Suppose -5*x - w = -6*x. Is x a prime number? False Let w(a) = -57*a**2 + 14*a + 7. Let l(u) = -28*u**2 + 7*u + 3. Let x(o) = -5*l(o) + 2*w(o). Is x(-3) a prime number? False Let l(h) = 1359391*h**3 - 13*h**2 + 29*h - 16. Is l(1) prime? False Is (1 - 15/10)*(6 + 51218*-4) a prime number? True Let u(g) = 45702*g**2 + 10*g - 19. Is u(2) a composite number? True Let r = -2 + 4. Let t = -114 - -190. Suppose 36 = r*x - 0*y + 4*y, 5*y + t = 3*x. Is x a prime number? False Suppose 41*l = -4*m + 43*l + 39152, -4*l - 39160 = -4*m. Let o be (8/5)/((-1)/(-5)). Suppose 2*n = o*n - m. Is n a composite number? True Suppose 0 = 39*l - 46*l - 137347. Let f = 31692 + l. Is f prime? True Is 1 - (53052/10)/((-13)/390) prime? True Suppose 4*a - 425223 - 111570 = -3*c, 0 = 2*c - a - 357884. Is c a prime number? True Let g be (15/22 + (-8)/44)*-19752. Let u = g + 14645. Is u a composite number? True Let v = 558 + -550. Is (-2)/(1*v/(-69604)) prime? True Let h = -6350 + 12661. Is h a prime number? True Let f be 16/(-6) - 5/15. Is ((-6)/(-4))/(7/((-4634)/f)) a prime number? True Let x = 23 + -18. Suppose 0 = -2*s + 2*z + 3*z + 1668, 4*s = -z + 3292. Suppose x*p - 2859 + s = 0. Is p a prime number? False Let v = 2654 + -4475. Let w = v - -3476. Is w prime? False Let l be (-3 - ((-9)/3 - 2)) + 1. Suppose l*j - 12556 = -5*q, 20936 = 5*j + 6*q - 7*q. Is j a composite number? True Suppose -4*b = y - 4352, -2*b + 0*b = -y - 2170. Is b a composite number? False Suppose -9*d + d = 704. Let v be (-8)/3*198/d. Suppose -3 = 7*q - v*q, -3*z + 1734 = 5*q. Is z composite? True Suppose -8405 = 30*i - 1925. Is 1840/6 + -12*6/i a composite number? False Suppose -4*l = -3*l - 2*s - 31, 0 = 3*s - 6. Is ((-814950)/l)/(-6) - (-2)/7 composite? False Is 14/25*(-561995600)/(-280) - (-2)/(-10) a composite number? True Suppose 147*g + 3*r - 5022 = 144*g, 2*g - 2*r - 3328 = 0. Is g a prime number? True Suppose -5*x + 2*x - 5*a = -353120, 3*x - 2*a - 353134 = 0. Suppose 132883 + x = 7*f. Is f a prime number? False Is 1*-478334*(8 - (-434)/(-56))*-2 composite? False Let r = -193299 + 1276828. Is r composite? True Suppose -9 = -6*g + 9. Suppose -g*p + 3598 - 323 = 2*o, 8153 = 5*o - 4*p. Let r = o - 930. Is r composite? True Suppose 25*b - 670 - 755 = 0. Suppose 71*h - b*h = 53354. Is h prime? False Suppose 3270 = -5*k - 3*c, 3*k + 2594 = -k + 2*c. Suppose -3*a + 1545 + 1575 = 0. Let n = a + k. Is n composite? False Suppose -21*d = -19*d - 22. Let u be 15530/(-80) + 2/16. Let s = d - u. Is s composite? True Suppose 0 = -33*j + 492679 + 2361722. Is j composite? True Let o = 682 - 673. Suppose 293805 = o*s - 0*s. Is s composite? True Let s be 4*(1 - (-1 + -1 - -12)). Let k = -30 - s. Is 4*k/(-36)*2361/(-2) a prime number? True Let u = 25 + -15. Suppose -u*d + 3*d + 26817 = 0. Is d prime? False Let o = -177 - -138. Let n = 44 - o. Is n a prime number? True Suppose -9*d = d - 110. Suppose -3*l + d*t = 7*t - 14351, l - t - 4785 = 0. Is l composite? False Let x(n) = 238*n**3 + 2*n + 1. Let f(j) = 5*j - 16. Let m be f(3). Let w be x(m). Let b = 1017 + w. Is b composite? True Let o be (-5)/1 - (-267327)/9 - 1. Suppose 3*v + 3*i = 29697, -14*v = -11*v - 3*i - o. Is v composite? True Suppose -3*k + 11 = -5*s - 16, -3*k = -2*s - 18. Let w(p) be the third derivative of 73*p**5/60 + p**4/3 - 7*p**3/6 - 18*p**2. Is w(k) prime? True Let n be (-454748)/3 + 36/54. Is (-2 - 0)*n/76 a composite number? False Let h(z) = z**3 - 3*z + 319201. Is h(0) prime? True Let m = -11 + 28. Suppose -2*r - 7 = -1, 5*t = -r + m. Suppose 2*u - 286 = -0*u + t*v, 3*u = v + 444. Is u composite? False Let s = -32727 - -110404. Is s prime? False Suppose 77*a + 33*a = 5351170. Is a composite? False Suppose 34*p - 1389233 = -297561. Suppose 2*w + 64200 = 4*z, 15*z - 13*z - p = -3*w. Is z a prime number? False Suppose 7474163 - 56170364 = -27*z. Is z a prime number? True Suppose -18*f = -6*f - f - 7022653. Is f a composit
{ "pile_set_name": "DM Mathematics" }
0)*(-4*i + 3*i - i)*(79 - 160 + 71 - 2*i). 12*i**2 + 60*i Expand -4*c**5 + 0 + 0 + 12*c + 14*c**5 - 12*c + (-3*c**2 + 2*c**2 - c**2)*(0*c**2 - c**3 + 0*c**2). 12*c**5 Expand (-58*n - 30*n + 20*n)*(-4*n + 0*n + 2*n) + 0*n + 0*n - 4*n**2. 132*n**2 Expand (o**2 - 4*o + 4*o)*(-958*o + 958*o - 183*o**2). -183*o**4 Expand 0*p + p + p - 49*p - 14*p - 43*p + (2*p - 3*p + 2*p)*(-1 + 0 + 4). -101*p Expand 3*b**4 - 5 + 5 + (-b**2 + 3*b**2 - b**2)*(-39*b + 39*b - 12*b**2). -9*b**4 Expand 3*b - 7*b**2 + 0*b + 6*b**2 + (b + 8*b - 5*b)*(b - 3*b + 3*b). 3*b**2 + 3*b Expand 0*w**2 + 2*w**2 + w**2 - w**2 + 0*w**2 + 6*w**2 + 35 - 35 + 30*w**2 + (-4 - 2*w + 4)*(-4*w + 4*w + 2*w). 34*w**2 Expand (-d**2 + 2*d**2 - 2*d**2)*(2*d - 22*d - 31*d) + (0*d - 2*d - 5*d)*(2*d**2 - 2*d**2 + d**2). 44*d**3 Expand (-4 + 6 - 10)*(3 - 2*j**3 - 3)*(2*j + 20*j - 10*j). 192*j**4 Expand (208*v + 264*v - 68*v + 844*v + 1234*v)*(3*v**2 - 7*v**2 + 2*v**2). -4964*v**3 Expand (-1 + 1 - 2 + 0 + 2 - 3 + (-2 + 3 - 2)*(1 - 3 - 2))*(-3*s + 2*s - 3*s). -4*s Expand (-v + 0 + 0)*(2*v**2 - v**2 + 2*v**2)*(-3 + 3 + 2)*(v - 4*v + 4*v). -6*v**4 Expand (3 - 3 + 3*u**3)*(-31 - 33 - 21 - 47 - 28). -480*u**3 Expand (3*m - 3*m - m)*(3*m - m - 3*m) + (-m - m + 0*m)*(-3 + m + 3) + (0*m + 0*m - 2*m)*(5 - 5 - m) + m - m + 3*m**2. 4*m**2 Expand -5*g**3 + 2*g**3 + 4*g**3 + 3*g**3 + 0*g**3 - g**3 + (-3*g + 2*g - g)*(-2*g**2 + 5*g**2 + 2*g**2) + (2*g**2 - 3*g**2 + 2*g**2)*(2*g - 5*g + 0*g). -10*g**3 Expand (-l**4 + 2*l**3 - 2*l**3)*((9*l - 5*l - 43*l)*(-1 + 3 - 1) + 2 - 2 - l). 40*l**5 Expand (-t + t + 2*t)*(222*t - 107*t + 91*t). 412*t**2 Expand (-v - 2*v - 2 + 4*v)*(-4*v**2 + 530*v**3 + 5*v**2 - 523*v**3). 7*v**4 - 13*v**3 - 2*v**2 Expand (5*k**2 + k**2 - 3*k**2)*(4*k**2 + 0*k**2 - k**2) + 0*k - 2*k**4 + 0*k + (-3*k**2 + 0*k**2 + 8*k**2)*(-4*k - k**2 + 4*k). 2*k**4 Expand 7*z + 8 + 4*z**2 - 8 + (-2 + 2 - 2*z)*(-z + 2 - 2). 6*z**2 + 7*z Expand ((-b + 6*b - 3*b)*(-2*b**3 + 2*b**3 - 2*b**3) + 4 - 4 - b**4 - 2*b**4 + b**4 + 0*b**4 + b**4 - 2*b**4 + 0*b**4)*(-77*b + 2*b - 47*b). 854*b**5 Expand -17 + 31*s**2 + 15 - 6*s**2 - s**2 + 2*s**2 + s**2 - s**2 + 0*s + 0*s + (0 + 0 + 2*s)*(-s + 0*s + 2*s) + 2*s**2 + 1 - 1. 30*s**2 - 2 Expand (3*y**2 - 2*y**2 - 3*y**2)*(2*y + y - y) - 3*y**3 - 15*y**3 - 31*y**3. -53*y**3 Expand (3 + 6 - 13)*(-21*n - 5*n - 20*n). 184*n Expand (-51 + 96 - 86)*(-103 + 103 + 10*w**2). -410*w**2 Expand (8 + 0 - 4)*(-3 + 3 - 3*z)*(2 + 10 + 12). -288*z Expand (4*l - 4*l + 4*l**4 - 1 + 2*l)*(4*l + 3*l - 5*l) + 8*l**5 - 8*l**5 - 5*l**5. 3*l**5 + 4*l**2 - 2*l Expand (-2*f**3 - 40708*f**2 + 40705*f**2 + 5*f**3 - 2 - 4*f)*(9 - 3 - 7). -3*f**3 + 3*f**2 + 4*f + 2 Expand (v - v - 3*v)*(39*v**2 - 590*v**4 + 586*v**4 - 125*v**2). 12*v**5 + 258*v**3 Expand (-3 + 3 - 3*i**3)*(-1 + 1 + 4)*(3*i - 3 + 3) - 4*i**4 + 3*i**4 + 3*i**4 + (-i - i**3 + i)*(5*i - 4*i - 3*i). -32*i**4 Expand (-12*z**2 + 4*z**2 - 11*z**2 + (-1 + 0 + 3)*(-3*z**2 - 3*z**2 - z**2) - 4*z**2 - 2 + 4*z**2 - 2*z**2)*(-2*z + 0*z + 0*z). 70*z**3 + 4*z Expand (2*v - 5*v - 13 - 2)*(-4 - 1 - 3). 24*v + 120 Expand (-i - i + 0*i)*(76*i - 71*i + 0*i**2 - 7*i**2 + (0*i + 3*i - 4*i)*(-2*i - 3*i + 4*i) - i**2 - 4*i**2 + 6*i**2). 10*i**3 - 10*i**2 Expand (-2*j**2 - j**3 + 2*j**2)*(-j + 8*j - j) - 14*j**4 - 2 + 2. -20*j**4 Expand (-2 + 2 - 1)*(0*j**2 + 0*j**2 + j**4) + 4*j**4 + 2*j**4 - 4*j**4 + 2*j**4 - 317*j**2 + 691*j**2 - 290*j**2. 3*j**4 + 84*j**2 Expand (3*i**2 + i**2 - 3*i**2 + (0*i - 2*i + 0*i)*(0*i + 5*i - 6*i))*(9*i + 6*i - 19*i) + 4*i**3 + 13*i**3 + 7*i**3. 12*i**3 Expand (-a - a + 5*a)*(4 - 3*a - 4)*(20*a - 20*a - 13*a**3). 117*a**5 Expand (0 - 1 + 0)*(-2*c**4 + c**4 + 0*c**4) + (-38 + 38 + 8*c**2)*(0*c + 0*c + 2*c**2) + (11*c - 18*c + 42*c)*(2*c**3 - 5*c**3 + 2*c**3). -18*c**4 Expand -o**5 - 4*o**5 + 0*o**5 - o**5 + 0*o**5 - 4*o**5 + (5*o**2 - 3*o**2 + o**2)*(0*o + 0*o + 3*o**3). -o**5 Expand (0*y - y + 0*y)*(-10 - 273*y + 116*y + 141*y). 16*y**2 + 10*y Expand (25*q**2 + 81*q**2 + 28*q**2)*(-2 + 2 - 4). -536*q**2 Expand y + 4*y - 3*y + (-69*y + 11 - 5 - 4)*(-4 + 1 + 5) + (3*y + 2*y - 7*y)*(-2 + 4 - 1). -138*y + 4 Expand (-18 + 3 - 463*m + 6 + 9)*(0*m**2 - 3*m**2 - 3*m**2). 2778*m**3 Expand 3*i**5 + 5*i**3 - 5*i**3 + (-4*i**4 + 5*i**4 - 3*i**4)*(4*i - 2*i - i). i**5 Expand (-4*t + t + 4*t)*(-2 + 2*t**4 + 2) + (2*t**3 - t**2 + t**2)*(11*t**2 - 33*t**2 - 87*t**2). -216*t**5 Expand (16 - 42 + 99)*(-4*h + 5*h - 3*h). -146*h Expand -1 + 2*b + 1 + (-5*b + 3*b + 0*b)*(-216 - 325 - 79). 1242*b Expand (-5*h - h**2 + 5*h)*((-2*h - 1 + 1)*(2*h - 3*h - h) + 2 - h**2 - 2 - 2*h**2 - h**2 + h**2 - 33*h + 107*h - 43*h - 3*h**2). 2*h**4 - 31*h**3 Expand -266*f**2 - 16252 + 16252 + (-f + 1 - 1)*(f - 3*f + f). -265*f**2 Expand -4*p**4 + 5*p**4 + p**4 + (0 + 0 - p)*(-80*p**3 - 57*p**3 + 45*p**3). 94*p**4 Expand (-4*i + 3*i + 3*i)*(-2 + 7 + 7) + 60 - 60 - 10*i. 14*i Expand (2*d - d + d)*(7*d - 12 + 12) + 0*d**2 - 3*d**2 + 2*d**2 + (-2*d + 5*d - d)*(d - 4*d + 2*d). 11*d**2 Expand -4*k + 4*k - 3*k**3 + 4*k**3 + 0*k**3 - 2*k**3 + (4*k - 7*k + 2*k)*(-41*k**2 + 39*k**2 + 169*k**2). -168*k**3 Expand (3 - 2 + 1)*(5*f**2 + 15*f**2 + 5*f**2). 50*f**2 Expand 3*w - 2*w + 5*w + (-2 + 2 - 1)*(-4 - 7*w + 4) + 2 - 3*w - 2. 10*w Expand (1 - 1 + q)*(-14 - 48 + 11)*(q - 1 + 1 + 0*q + 5*q - 4*q + (-q + 2 - 2)*(1 - 6 + 3)). -204*q**2 Expand (1 + 0 - 3)*(-1 + 1 - f**3) + 6*f**2 - 8*f**3 - 6*f**2 + 7*f**3 - 2*f**3 - 6*f**3. -7*f**3 Expand (16*x - 6*x + 1 - 5*x)*(2*x + 24 - 24) - 6*x**2 + x**2 + 3*x**2. 8*x**2 + 2*x Expand (516 - 73*p - 516)*(-17 - 10 + 3). 1752*p Expand (2*u - 10*u - 4*u)*(-8*u**2 + 8*u**2 - 3*u**2). 36*u**3 Expand 7 + 1 + 1 - 2*x + (-3*x - x + 2*x)*(1 + 2 - 1) - 3*x - 3*x + 3*x + (0 + 3 - 2)*(-2*x - 1 + 1) + 2*x + 0 + 0. -9*x + 9 Expand 150*x**3 + 29*x**2 - 146*x**3 + 13*x**2 + (-3 + 3 - 1)*(5*x**3 + x - x). -x**3 + 42*x**2 Expand ((-q + q - 3*q)*(-3*q + 1 - 1) + (-3*q + 4*q + q)*(5*q - 4*q + 2*q))*(2*q + 4*q + 4*q). 150*q**3 Expand (0*n**4 + 0*n**4 - 2*n**4)*(-3*n + 0*n + n + (0 - 1 + 2)*(-n + 0*n + 0*n) - 86*n + 39*n - 66*n). 232*n**5 Expand (-1010*m - 6*m**2 + 1010*m)*(-4*m**2 + 1 - 1). 24*m**4 Expand -60*x + 1685*x + 607*x + (-2*x + 3*x - 2*x)*(-1 + 5 - 3). 2231*x Expand ((-3*f + 0*f + 7*f - 4)*(2*f**3 - 2*f + 2*f) + (5*f**3 - 5*f**3 + f**3)*(-f + 2*f - 2*f))*(-5*f + f - f). -35*f**5 + 40*f**4 Expand 105*i**4 + 163*i**4 - 128*i**3 + 128*i**3 + 4*i**4 + 0*i**4 - 3*i**4 + (-2*i**2 - i + i)*(-2 + i**2 + 2) - 3*i**3 - i**4 + 3*i**3. 266*i**4 Expand (16 - 31 - 2*v + 18)*(v**3 - 5*v**3 + 2*v**3) - 46*v**3 - 38*v**4 + 46*v**3. -34*v**4 - 6*v**3 Expand (-3 + p + 3 + (p + 3*p - 2*p)*(0 - 2 + 8))*(5*p**3 - 4*p**3 + 3*p**3). 52*p**4 Expand (-4*w**2 + w**2 - 2*w**2)*(2*w**2 - 3*w**2 + 2*w**2 + (2 + 2 - 3)*(3*w - 3*w + w**2) - 7214*w + 7214*w + 121*w**2). -615*w**4 Expand (0*c + c + c)*(-16 - 7 - 11 + (3 - 6 + 1)*(4 + 0 - 3) + 6 - 4 - 3)*(0 - 2 + 4)*(-3 + 5 - 8). 888*c Expand g + 4*g + 2*g**5 - 6*g + (17 - 17 + 16*g**4)*(-2*g - 2*g + 3*g) + (3*g**3 - g**3 + 0*g**3)*(g - 2*g**2 - g). -18*g**5 - g Expand -l**3 + 2*l**5 + l**3 + 32*l**5 - 5*l**5 - 2*l**5 + (3 - 3 - l**4)*(-3 + 3 + l). 26*l**5 Expand (-7*s**2 + 43 - 43)*(-22*s + 101*s - 52*s + 111*s + 162*s). -2100*s**3 Expand (2*f - 13*f + 3*f)*(2 + 1 + 3) - 2*f + 1 - 1 + (3*f + f - 5*f)*(7 - 2 - 3) - 2*f - 4 + 4 + 0 + 0 + f + 2*f + 2*f - 2*f. -51*f Expand ((-3 + 0 + 16)*(3 + 1 - 2) - 1 + 1 - 3 - 5 + 1 + 1)*(5 - 5 + 2*j) - j - 2 + 2. 39*j Expand (-1 - 1 + 0)*(0*i**2 - 5*i**2 + 4*i**2)*(i**2 - 2*i + 2*i + (3 - 1 - 4)*(-1 + 1 + i**2) - 3*i**2 - 5*i**2 + 6*i**2 - 4*i**2 + 0*i**2 + 9*i**2). 4*i**4 Expand (-1 + 1 + v**2)*(-30 - 7*v**2 + 30)*(4*v + v - 4*v + (-2 + 1 + 0)*(6*v + 3*v - 4*v))*(-1 + 4 + 0). 84*v**5 Expand (-u + 11*u - 4*u)*(37 - 2*u - 37) - u**2 + 0 + 0. -13*u**2 Expand (76*r + 90*r + 22*r)*(0*r**2 + r**2 - 3*r**2 + (-r + 0*r - r)*(-r + 4*r - r)). -1128*r**3 Expand (2*w**3 + 6 - 6)*(-109*w + 0 + 7 - 6). -218*w**4 + 2*w**3 Expand (-11*r**3 + 3*r**3 + 4*r**3)*(69 + 68 - 105 + 4 - 1 - 1 + (0 - 4 + 2)*(-4 + 0 + 2) + 4 - 1 - 2 - 6 + 2 + 3 + 1 - 2 + 3). -160*r**3 Expand (4 - 3 - 4)*(6*p**4 + 15*p**4 - 9*p**5 - 19*p**4). 27*p**5 - 6*p**4 Expand 21*h - 9*h + h**3 - 10*h + 9*h**2 + (0 - h**2 + 0)*(17 - 17 - 2*h). 3*h**3 + 9*h**2 +
{ "pile_set_name": "DM Mathematics" }
ve 248 = -3*f + 266 for f. 6 Solve 6 - 2 = -m for m. -4 Solve 0 = -5*j - 1 + 1 for j. 0 Solve -15 = -233*q + 228*q for q. 3 Solve -34*a - 25 = -29*a for a. -5 Solve 14*q + 4 = 18 for q. 1 Solve 7*a = -58 - 12 for a. -10 Solve -84*y + 66*y = 126 for y. -7 Solve -99*u - 8 = -95*u for u. -2 Solve -29*n + 69*n + 80 = 0 for n. -2 Solve 36 = 4*q + 5*q for q. 4 Solve 21*v = 17*v - 8 for v. -2 Solve 6*l - 10 = l for l. 2 Solve 0 = 7*z - 266 + 245 for z. 3 Solve 3*z - 10 = z for z. 5 Solve 6*a = 10*a - 15*a for a. 0 Solve 14*p - 6 = -62 for p. -4 Solve 0 = 27*v - 11 + 173 for v. -6 Solve 0 = 85*o - 81*o + 8 for o. -2 Solve 60 = -11*u + 5 for u. -5 Solve 28 = -17*f - 11*f for f. -1 Solve 0 = 7*l + 668 - 675 for l. 1 Solve 8*n - 194 = -138 for n. 7 Solve -42*p - 791 = -581 for p. -5 Solve -3*d = -6*d + 18 for d. 6 Solve -42*b + 10 = -40*b for b. 5 Solve 0 = -17*j + 80 - 46 for j. 2 Solve -14 + 16 = 2*x for x. 1 Solve 8*a - 2 + 2 = 0 for a. 0 Solve -105 = 24*r + 15 for r. -5 Solve 23*f = -25*f - 384 for f. -8 Solve -3*k + 8 = -k for k. 4 Solve 0 = -3*l + 73 - 88 for l. -5 Solve 66*j = 62*j - 20 for j. -5 Solve -246 = -59*d + 344 for d. 10 Solve 0 = -5*g - 0 + 5 for g. 1 Solve 816*h = 812*h + 8 for h. 2 Solve -168 = -35*x + 7*x for x. 6 Solve 0 = -2*v - 10*v + 72 for v. 6 Solve -256*s + 12 = -244*s for s. 1 Solve 10*v = -91 + 121 for v. 3 Solve 0 = -2*p + 22 - 24 for p. -1 Solve -3 = 19*b - 20*b for b. 3 Solve 12*s - 15*s - 3 = 0 for s. -1 Solve -27*t - 194 = 49 for t. -9 Solve 0 = -8*r - 6*r - 56 for r. -4 Solve 0 = -12*b + 26 - 86 for b. -5 Solve 79 = -115*b - 266 for b. -3 Solve 0 = -4*b + 1 - 13 for b. -3 Solve 0 = 21*a - 26*a + 35 for a. 7 Solve -7*u = 21*u - 168 for u. 6 Solve 50 = 11*g - g for g. 5 Solve 14 = -f + 11 for f. -3 Solve -9*b = -14*b - 5 for b. -1 Solve -24*r + 5*r + 76 = 0 for r. 4 Solve 76*x = 82*x + 24 for x. -4 Solve -21 = 6*x + x for x. -3 Solve 98*h + 4*h = 1020 for h. 10 Solve 5 + 1 = 2*b for b. 3 Solve -3*p + 139 = 160 for p. -7 Solve -5*x + 58 - 33 = 0 for x. 5 Solve 2*w = -4*w - 18 for w. -3 Solve 5*q - 24 = 11*q for q. -4 Solve -p - 11 = -14 for p. 3 Solve 2*x = 18*x + 16 for x. -1 Solve -12*z + 17*z = 5 for z. 1 Solve 3*a = -302 + 284 for a. -6 Solve 1 = -4*o + 17 for o. 4 Solve 4*j = 12*j - 8 for j. 1 Solve 63*n - 48 - 15 = 0 for n. 1 Solve 0 = 19*v - 24*v + 10 for v. 2 Solve 4*f + 3 - 7 = 0 for f. 1 Solve 564 = -117*h - 21 for h. -5 Solve -i + 6 = 7 for i. -1 Solve -8*h - 16 = -0*h for h. -2 Solve -5*o = 6 - 11 for o. 1 Solve 42*r - 39*r = 15 for r. 5 Solve 13*n - 35 = 20*n for n. -5 Solve 7*y + y + 32 = 0 for y. -4 Solve 2*n + n + 9*n = 0 for n. 0 Solve -22*o - 24 = 42 for o. -3 Solve -111*m = -135*m for m. 0 Solve 0 = -12*g + 19*g + 7 for g. -1 Solve 10*l - 80 = -6*l for l. 5 Solve 0 = 3*j + 6*j + 27 for j. -3 Solve 389*i + 15 = 384*i for i. -3 Solve 60*b = -30*b - 720 for b. -8 Solve 10*y - 21*y - 44 = 0 for y. -4 Solve -7*r + 12*r = -25 for r. -5 Solve 0*t = 15*t + t for t. 0 Solve 0 = -65*i + 68*i + 6 for i. -2 Solve -12*b + 1820 = 1856 for b. -3 Solve 39*o - 38*o = -7 for o. -7 Solve -2*g = 6*g - 2*g for g. 0 Solve 2*q = -15 + 11 for q. -2 Solve 0 = 105*i - 110*i + 20 for i. 4 Solve -23*l + 30 = 7 for l. 1 Solve 2*i = -12 + 4 for i. -4 Solve 2*c + 37 = 37 for c. 0 Solve 15*q = 13*q for q. 0 Solve -15*s - 2 = -14*s for s. -2 Solve 37*d = 26 + 48 for d. 2 Solve 3*h - 63 = -66 for h. -1 Solve -5*w - 44 + 59 = 0 for w. 3 Solve -31*g - 145 = -52 for g. -3 Solve -16*j + 60 = -6*j for j. 6 Solve 7*z = -16*z + 115 for z. 5 Solve 16*v = -104 + 24 for v. -5 Solve -12*j + 18 - 66 = 0 for j. -4 Solve 476 = -3*g + 458 for g. -6 Solve -60 = -44*n + 54*n for n. -6 Solve -15*l + 163 - 133 = 0 for l. 2 Solve -19*u - 5 = -14*u for u. -1 Solve -683*c + 64 = -691*c for c. -8 Solve -9*t + 35 + 10 = 0 for t. 5 Solve -2*b - 5 = -3 for b. -1 Solve 28*r = 17*r - 77 for r. -7 Solve -f - 28 = 6*f for f. -4 Solve 9*x - 4*x + 5 = 0 for x. -1 Solve 77*j - 80*j = 21 for j. -7 Solve 10 = 39*y - 29 for y. 1 Solve 5*g + 13 = -2 for g. -3 Solve -88 = 4*b - 88 for b. 0 Solve 9 = 17*a - 8 for a. 1 Solve 18*v = 142 - 124 for v. 1 Solve -4*b - 4 = -8*b for b. 1 Solve 97 + 50 = -21*s for s. -7 Solve 75*a + 180 = 45*a for a. -6 Solve 27 = -45*r - 18 for r. -1 Solve -14*q - 20 = 8 for q. -2 Solve 0 = -10*s - 39 - 11 for s. -5 Solve -154*j = -132*j + 44 for j. -2 Solve -3*i = 5*i + 24 for i. -3 Solve 14*y = 30*y + 64 for y. -4 Solve 596*u - 34 = 613*u for u. -2 Solve -3*h + 1 = -4*h for h. -1 Solve 0 = -4*f + 998 - 990 for f. 2 Solve 91 = 6*y + 7*y for y. 7 Solve 7 = -3*q + 10*q for q. 1 Solve 30*m - 40*m - 10 = 0 for m. -1 Solve -2*g + 16 - 10 = 0 for g. 3 Solve 641*k - 12 = 638*k for k. 4 Solve 0 = -14*t + 181 - 69 for t. 8 Solve -3*r + 15 = -0*r for r. 5 Solve 48*q - 52*q = -4 for q. 1 Solve 5*y = -8*y + 52 for y. 4 Solve 0 = -l + 37 - 37 for l. 0 Solve 16 = -13*b - 88 for b. -8 Solve 92*j = 40*j + 52 for j. 1 Solve 40 - 80 = 10*n for n. -4 Solve 9*v - 7*v = 8 for v. 4 Solve 77*j + 279 - 48 = 0 for j. -3 Solve 0 = 2*g - 8*g + 6 for g. 1 Solve 54 = 9908*s - 9899*s for s. 6 Solve 0 = -4*k + 3*k + 5 for k. 5 Solve -7*b = 14*b - 21 for b. 1 Solve 0 = -0*o + 5*o + 25 for o. -5 Solve 38*f + 6 = 41*f for f. 2 Solve 0 = -160*n + 156*n for n. 0 Solve -4*n = 6*n + n for n. 0 Solve -15*t = -20*t - 15 for t. -3 Solve -47*d + 104 = -21*d for d. 4 Solve u + 33*u = -136 for u. -4 Solve 14*u = 8*u - 30 for u. -5 Solve -5*u + 0*u - 11*u = 0 for u. 0 Solve 2*g + 35 = 25 for g. -5 Solve -2*m + 12 = 6 for m. 3 Solve 3*u - 42 = -27 for u. 5 Solve -13*o + 3 = 68 for o. -5 Solve 69 = -11*w + 47 for w. -2 Solve 2*v + 14 = 6 for v. -4 Solve -3*y + 0*y = -5*y for y. 0 Solve 42*l + 119 = 161*l for l. 1 Solve -140*i = -135*i for i. 0 Solve 0 = -17*j - 34*j - 102 for j. -2 Solve 0 = -2*u + 14*u - 24 for u. 2 Solve -23*n + 13*n = 0 for n. 0 Solve 6*i - 35 + 5 = 0 for i. 5 Solve -5*q = 3 + 22 for q. -5 Solve -75 = -27*t - 48 for t. 1 Solve -47 + 40 = 7*u for u. -1 Solve 5*c + 2 = 32 for c. 6 Solve 0 = -97*m - 307 - 275 for m. -6 Solve -58 + 58 = -3*b for b. 0 Solve -l - 2*l + 12 = 0 for l. 4 Solve 483*w - 495*w = -48 for w. 4 Solve -4*i - 63 = -13*i for i. 7 Solve f = 3*f - 2 for f. 1 Solve 24 = -31*n + 37*n for n. 4 Solve 15*k = -27*k - 210 for k. -5 Solve -8*l = -34 + 18 for l. 2 Solve -24*q + 29*q = 5 for q. 1 Solve 49*f = 44*f - 20 for f. -4 Solve 7*n = 3*n for n. 0 Solve 14*u + 12 = 11*u for u. -4 Solve -4*u = -8*u - 3*u for u. 0 Solve -402 + 442 = 8*l for l. 5 Solve 0 = 4*o + 6 - 2 for o. -1 Solve 4*i - 159 + 159 = 0 for i. 0 Solve 48 = -1083*u + 1067*u for u. -3 Solve -3*s + 2 = 8 for s. -2 Solve 10*f + 11 = -f for f. -1 Solve -18 = -3804*s + 3806*s for s. -9 Solve -9*b + 483 - 411 = 0 for b. 8 Solve -10*t + 54 - 14 = 0 for t. 4 Solve -68*n - 20*n + 352 = 0 for n. 4 Solve 4*l - 11 = 13 for l. 6 Solve 0 = -15*c + 13*c + 10 for c. 5 Solve -8 - 6 = 7*l for l. -2 Solve -279*q + 281*q = 6 for q. 3 Solve 16*r - 5*r + 22 = 0 for r. -2 Solve 3*i + 18 = 6 for i. -4 Solve 222*u = 250*u - 112 for u. 4 Solve 77*b - 27*b = 400 for b. 8 Solve 1 = -t + 2*t for t. 1 Solve -14 = 5*h - 19 for h. 1 Solve 5 = 3*y - 1 for y. 2 Solve -35*s + 62 = 27 for s. 1 Solve 136*d + 50 = 161*d for d. 2 Solve 444*g - 445*g + 1 = 0 for g. 1 Solve -60*z + 12*z + 192 = 0 for z. 4 Solve -2*x + 96 = -18*x for x. -6 Solve 0 = 587*b - 598*b + 66 for b. 6 Solve 27 = -6*o - 3*o for o. -3 Solve -38*p + 204 = 13*p for p. 4 Solve -33*l = 1373 - 1175 for l. -6 Solve -23 - 4 = -9*q for q. 3 Solve -125*k = -129*k + 8 for k. 2 Solve 0 = 5*z + 1 - 21 for z. 4 Solve -95*d + 60 = -107*d for d. -5 Solve 20*h = 8 + 12 for h. 1 Solve -8*p = -378 + 362 for p. 2 Solve -38*t = 8*t - 322 for t. 7 Solve 19*k + 4 = 18*k for k. -4 Solve -26*q = -67*q + 164 for q. 4 Solve -110*z + 45 = -119*z for z. -5 Solve 3*i - 96 + 111 = 0 for i. -5 Solve 12*a - 17 = -5 for a. 1 Solve 112 = 10*i + 192 for i. -8 Solve 68*c + 138 = -270 for c. -6 Solve 7*m + 474 = 460 for m. -2 Solve -407*n - 136 = -390*n for n. -8 Solve -14*u - 2990 = -3116 for u. 9 Solve -2*x - 4 + 12 = 0 for x. 4 Solve 0 = 16*t - 17 - 127 for t. 9 Solve 1187*h - 1176*h = 77 for h. 7 Solve -1782 + 1770 = -12*l for l. 1 Solve -24*o - 18*o + 210 = 0 for o. 5 Solve -92*z + 88*z = -8 for
{ "pile_set_name": "DM Mathematics" }
u = 0, -r + 5*d + 4 = 11. Suppose -2*i + 25 = r*i. What are the prime factors of i? 5 Let i(u) = -u**2 - 6*u. Suppose -7 = 3*o - z, -2*o + 0*o = 5*z + 16. List the prime factors of i(o). 3 Let a(p) be the first derivative of p**2/2 + 13*p - 5. What are the prime factors of a(-6)? 7 Let b be ((-8)/10)/((-2)/5). Suppose -5*j = -b*p + 53, -p - 5*j - 82 = -4*p. What are the prime factors of p? 29 Suppose 0 = -0*u - 6*u + 732. List the prime factors of u. 2, 61 Let i = 34 + -9. What are the prime factors of i? 5 Suppose -2*h = 3*w - 186, -w - 5*h + 305 = 4*w. Let t = 94 - w. List the prime factors of t. 2, 3, 5 Let r(h) = -h**3 + 7*h**2 - 5*h + 2. Let v be r(5). Suppose -3*a + z + 2*z = -v, -3*z - 40 = -4*a. What are the prime factors of a? 13 Let n(q) = -q**3 - q + 6. Let z(w) = -w**3 + w**2 + 1. Let y(c) = n(c) - 2*z(c). Let a be 42/15 - 2/(-10). What are the prime factors of y(a)? 2, 5 Suppose 2*y = -2*y + 12. Suppose b = 2*h + 14, 2*b + 4 = -h - y*h. List the prime factors of b. 2, 3 Let d(p) = p**3 - 5*p**2 + 2*p. Let w be d(4). List the prime factors of (4/w)/((-1)/20). 2, 5 Suppose -624 = 4*l - 17*l. What are the prime factors of l? 2, 3 Suppose -2*v = -v - 4. Let i = v - 2. List the prime factors of i. 2 Let f = 19 + 25. What are the prime factors of f? 2, 11 Let l(y) = 2*y**2 + 17*y - 5. List the prime factors of l(-13). 2, 7 Let n(m) = m**3 + 7*m**2 - 2*m - 7. Let c be n(-7). Let p(f) = f**2 - 7*f + 9. What are the prime factors of p(c)? 3 Let g = -6 + 6. Let h be (-3 + 0 - -2)*0. Suppose -4*n + h + 12 = g. List the prime factors of n. 3 Suppose -2 = v - 1. What are the prime factors of (v + 3)*33/6? 11 Let b(n) = n**2 - 5*n + 2. Let p be b(3). List the prime factors of (3/p)/(1/(-24)). 2, 3 Let a be -35 + (4/(-2))/1. Let r = a - -62. What are the prime factors of r? 5 Let y(i) = 4*i**2 + 2*i + 1. Let u be y(-1). Let x = 5 + u. List the prime factors of x. 2 Suppose 12*u - 19*u = -1253. List the prime factors of u. 179 Let v(k) = k**2 + 7*k. Suppose -5*a - 29 = 11. List the prime factors of v(a). 2 Let j(a) = -8*a + 3. Let x(m) = -m + 1. Let w(n) = -j(n) + 6*x(n). List the prime factors of w(5). 13 Suppose 7 - 17 = -d. Let x = 14 - d. Suppose 2 - 38 = -x*p. What are the prime factors of p? 3 Suppose -2*c + 10 = 2*q, q - 4*c - 61 = -4*q. Let g = q + -6. Suppose -g*m - 2*m = -40. List the prime factors of m. 2 Let j be 0*3/12*2. Let o be (-9)/2 - 2/(-4). What are the prime factors of o/(-10)*(j + 20)? 2 Let q = 3 - 1. Suppose 0 = j - 6 + q. List the prime factors of j. 2 Suppose -3*k - 5 = 13. List the prime factors of ((-3)/k)/((-2)/(-48)). 2, 3 Let o = -97 - -140. List the prime factors of o. 43 Let v = -6 + 9. Suppose 3*s + 1 = 4, v*d - 29 = s. Suppose 0*t = t - d. What are the prime factors of t? 2, 5 Let a be ((-3)/(-6)*4)/1. Suppose -o - 17 = -4*p, a*p + 14 = -4*o - 0*o. What are the prime factors of (-82)/(-6) + (-2)/p? 13 Let u(j) = 11*j**2 + 2*j - 1. What are the prime factors of u(-2)? 3, 13 Let f be (2 - (-24)/(-10))*-30. List the prime factors of 1/(-6) - (-110)/f. 3 Let s = 45 + -26. List the prime factors of s. 19 Suppose c + c = 10. Suppose -7 = -4*u - 5*m, c*u - 3*m = m + 19. Suppose -13 + 1 = -u*g. What are the prime factors of g? 2 What are the prime factors of -7*(1 + -2 + 0)? 7 Let g(o) = o**2 - 6*o - 6. What are the prime factors of g(-3)? 3, 7 Suppose -17*r + 12*r = -630. Let a = r - 89. What are the prime factors of a? 37 Let j(k) = -7*k + 13. Let r be j(-11). Suppose -4*q + 3*v = -r, -4*v - 6 - 2 = 0. Let g = q - 8. List the prime factors of g. 13 Let k(y) = y**3 + 8*y**2 + 9*y + 1. Let g be (-6)/4 - (-116)/8. Suppose 17 = -4*w + 2*w - f, 5*f + g = 2*w. List the prime factors of k(w). 19 Let c(j) = -j**3 + 5*j**2 - 4*j + 2. Let f be c(2). Let z be 5 + 0 + -6 + f. Suppose z*t = 3*g - 46, -7*g + 2*g = t - 58. List the prime factors of g. 2, 3 Let h = 14 - 38. What are the prime factors of h/(-9) - (-1)/3? 3 Let l(k) = k + 6. Let y be l(-6). Suppose y*h = 3*r + h - 25, 5*r + 5*h - 55 = 0. What are the prime factors of r? 7 Let k(w) = w**3 + 6*w**2 - w - 5. Let s be k(-5). Let m = -18 + s. List the prime factors of m. 7 Let v be (4 + -2)*-5*1/2. Let s = -20 - -43. Let z = v + s. List the prime factors of z. 2, 3 Let y(l) = 22*l - 99. What are the prime factors of y(5)? 11 Suppose -3*h + 351 = -462. What are the prime factors of h? 271 Suppose 3*q - 5*s = 18, s = -2*q - 2*q + 24. Let b(c) = 4*c - 2. List the prime factors of b(q). 2, 11 Let t be -1 + (-1)/((-1)/13). Suppose u - 71 = -5*m + m, 5*u = 4*m - 101. Let i = m - t. What are the prime factors of i? 7 Let b(s) = 6*s - 3. Let y be b(3). List the prime factors of (-2624)/(-120) - (-2)/y. 2, 11 Let x be (-12)/(-8)*-2 + -18. Let o = x - -33. List the prime factors of o. 2, 3 Let c(n) = n**2 + 11*n - 9. List the prime factors of c(-13). 17 Let q be (1 + 6)/((-2)/(-22)). Let w = q - 51. What are the prime factors of w? 2, 13 Let g be 72/(-15)*(-30)/4. Suppose 0 = -2*t + g - 8. List the prime factors of t. 2, 7 Let f(o) = o**3 + 11*o**2 + 9*o + 7. Suppose 5*v - 2*q + 54 = 0, 4*q - 8 = -0*q. What are the prime factors of f(v)? 17 Let r = 225 - 49. What are the prime factors of r? 2, 11 Let j = 82 + 237. List the prime factors of j. 11, 29 Let y = -7 - -7. Suppose q = 5*l - 7, -3*q + 3*l - 2*l - 21 = y. Let u = q + 21. What are the prime factors of u? 2, 7 Suppose 2*h + g - 4*g + 26 = 0, 8 = 2*g. Let b(x) = x**2 + 2*x - 8. What are the prime factors of b(h)? 3 Let r = 23 - 12. Let p = 18 - r. List the prime factors of p. 7 Suppose -10*c = -6*c - 8. Suppose -3*k + 2*k + 2 = -5*x, -6 = -c*x. List the prime factors of k. 17 Suppose -g - 4*m = -9 - 2, -4*g = 4*m - 20. Suppose -l = 4*o + 1, -g*o + 2*o - 3*l = 3. Suppose -4*c + 2*c + 20 = o. List the prime factors of c. 2, 5 Suppose -2*x + 2*z + 700 = z, 4*x - 5*z - 1394 = 0. List the prime factors of x. 3, 13 Let o(v) = v**2 - 8*v + 2. Let m be o(8). Suppose -6*n = -m*n - 144. Suppose -n = -5*h + 14. List the prime factors of h. 2, 5 Let k(t) = t**2 - 3*t - 8. Let l be k(5). List the prime factors of 143/4 + l/8. 2, 3 Suppose -4*d = -38 - 102. What are the prime factors of d? 5, 7 Let r = 40 + -19. Let m = 19 - 42. List the prime factors of (-6)/r - m/7. 3 Let d(o) = -1 + 2*o + 12 - 2*o + 2*o. Let w be d(8). Let u = -15 + w. List the prime factors of u. 2, 3 Let a(s) = -s**2 - 6*s - 1. Let g be a(-6). Let o = g - -3. What are the prime factors of o? 2 What are the prime factors of (-3)/((-4)/(-64)*-3)? 2 Suppose 0 = 4*j - 5*i - 20 - 84, 0 = -2*i. What are the prime factors of j? 2, 13 Suppose 5*l + 20 = 0, -3*y + 32 = -y + 4*l. Suppose 2*w - 90 = -y. What are the prime factors of w? 3, 11 Let o be -2*(3 - 7 - -1). What are the prime factors of 3/(-9) + 158/o? 2, 13 Let f be (2 - 1)/((-1)/9). Let p(q) = -q**2 - 9*q + 9. What are the prime factors of p(f)? 3 Suppose -3*n + 3 = -q + 4*q, 4*n = q + 14. What are the prime factors of (q - -6)*7 - -1? 29 Let q = 9 + -18. Let c be 3 - 0/(q/(-3)). Suppose 0*p + 25 = 2*p - i, -c*p - 3*i + 15 = 0. List the prime factors of p. 2, 5 Suppose 1 = y - 1. Suppose 0*n - y*n = 0. Suppose 2*c + s - 3 - 14 = n, 2*c - 5*s = 47. List the prime factors of c. 11 Suppose 176 = 5*c - 184. List the prime factors of c. 2, 3 Suppose 2*n - 4*n + 18 = 0. What are the prime factors of 6/(-12) - n/(-2)? 2 Suppose -w + 6*w = 4*n + 20, 3*n = 3*w - 15. Let m(h) be the first derivative of h**3/3 + 2*h**2 - 3*h - 1. List the prime factors of m(n). 2 Let r = -13 + 15. Suppose -r*q = 2*l - 18, 2*l = 4*q - 0*l - 42. List the prime factors of q. 2, 5 Suppose -5*g - 19 = z - 7, -2*z + 12 = -2*g. Suppose -z*h + 60 = 2*h. Suppose 7*a - h = 3*a. What are the prime factors of a? 3 Let l be -2 + 2 + 2 + 2. Suppose 3*x - l = 50. List the prime factors of x. 2, 3 Let v(n) = -n**2 - 12*n - 7. Let x be v(-12). Let p = x - -22. List the prime factors of p. 3, 5 Let o be (-25)/4*(-9 + 5). Suppose 10 = -5*t + o. Suppose 0 = -a + 2*a - t. What are the prime factors of a? 3 Let r be 14 - (0/4 - 3). Suppose t - 10 = r. What are the prime factors of t? 3 Suppose a - 207 = 13. List the prime factors of a. 2, 5, 11 What are the prime factors of 12/9*285/10? 2, 19 Suppose -21*d + 15*d + 558 = 0. List the prime factors of d. 3, 31 Let b
{ "pile_set_name": "DM Mathematics" }
c = -10 - -5. Put c, -2, 2 in increasing order. c, -2, 2 Suppose -4*k = 0, -s + 4*s + 4*k = -15. Let x be (8/6)/(3/(-18)). Let j(w) = -w**3 - 7*w**2 + 8*w + 4. Let q be j(x). Sort s, 3, q in decreasing order. q, 3, s Let w = 0.2 + -0.3. Let t = -0.8 + 1.3. Put -4, t, w in descending order. t, w, -4 Suppose -h - 5*r = 3*h + 24, -r = -3*h + 1. Let v(z) = z**3 - 2*z**2 - 3*z + 4. Let p be v(3). Suppose p*q = -6 + 14. Sort q, h, 3 in descending order. 3, q, h Let m(t) = t**2 - 5*t + 10. Let a(n) = -n + 1. Let k(d) = 5*a(d) - m(d). Let f be k(0). Let u be -1 - (-1)/(1/(-1)). Put 4, u, f in ascending order. f, u, 4 Let a = 12 - -3. Suppose -3*t - a = 2*t. Suppose 4*d + w + 18 = d, -d = 3*w + 14. Sort t, 1, d. d, t, 1 Let f be (-2 + 37)/(-5) - 4*-1. Sort 5, 12, 0, f in increasing order. f, 0, 5, 12 Let r be (12/16)/(6/(-20)). Let q = -5 + 9. Put r, q, 2/11 in descending order. q, 2/11, r Let j = 8 - 11. Let y be (-2)/28*-2*j. Suppose 0 = 3*w - 5*x - 1 + 9, -x - 16 = -5*w. Sort y, 3, w. y, 3, w Let j = 0.2 + -1.2. Put j, 1/2, -1/5 in descending order. 1/2, -1/5, j Suppose -10 = 2*g - 2*q, 0*q = -4*g + 5*q - 25. Sort g, 3, 1 in descending order. 3, 1, g Let b = 1.1 + -1.1. Put 6/5, 1, b in ascending order. b, 1, 6/5 Let u = -5 + 5. Sort 3, u, -12. -12, u, 3 Let c = 90 - 80.6. Let u = -9 + c. Put u, 4, -1 in ascending order. -1, u, 4 Let s be 5*(44/24 - 2) - -1. Suppose 15 = -4*m - j, 4*j = m - 10 + 1. Put m, -1/9, s in ascending order. m, -1/9, s Suppose w = -2*w. Put 0.3, w, 1/4 in decreasing order. 0.3, 1/4, w Let p = -7 - -7. Sort 1, p, -3 in increasing order. -3, p, 1 Suppose 0 = -5*k + 4 + 1. Let w = 9 - 16. Let n = w + 11. Put k, n, -5 in descending order. n, k, -5 Suppose -b - 4*b + 10 = 0. Suppose x + 5 = -0*x + 2*l, -12 = 5*x + 3*l. Let y(g) = -g + 1. Let j be y(x). Sort j, -5, b in ascending order. -5, b, j Let p = 8 - 5. Put -4, p, 2 in decreasing order. p, 2, -4 Let x = 0.3 - 0.5. Let y = 1.2 + x. Let u = 1.9 + 3.1. Put y, u, -2 in ascending order. -2, y, u Let l = 19029/5 - 3837. Let y = -31 - l. Put 1/3, 0.5, y in decreasing order. 0.5, 1/3, y Let v be 9/(-11) + 2/(-11). Let u(w) = -w**3 - 16*w**2 - 16*w - 10. Let z be u(-15). Sort 4, z, v. v, 4, z Let p(x) = x + 1. Let a be p(-4). Let f = -1.23 - 0.77. Put a, f, 0 in decreasing order. 0, f, a Let x = 50 - 49. Let w = -7 - -2. Sort w, x, -2 in descending order. x, -2, w Let t be (-1 + 0)/(2/8). Suppose 0 = 5*q - 2*q. Sort q, 1, t. t, q, 1 Let f(b) = b**3 + 4*b**2 - 3. Let p be f(-4). Let q be (-14)/p - (-2)/6. Sort 4, q, -4 in decreasing order. q, 4, -4 Let q = -9 - -16. Let o = -9 + q. Let h(c) = -c. Let z be h(-2). Sort o, z, 2/7 in ascending order. o, 2/7, z Let q(t) = 2*t - 4. Let r be q(8). Let k be 3*((-80)/r)/(-4). Put 2, 3, k in decreasing order. k, 3, 2 Let b = 192 + -189. Put 1, 5, b in increasing order. 1, b, 5 Let f be -4 + (-1)/(-1) + -1. Let j(m) = -m**3 - 7*m**2 - 7*m - 4. Let s be j(-6). Let d be (s + 0)*(-15)/6. Put -0.5, d, f in descending order. -0.5, f, d Let n = 7 - 12. Let i = n - -8. Put -1/6, -0.4, i in decreasing order. i, -1/6, -0.4 Let a(b) = -b**3 + 20*b**2 - b + 19. Let f be a(20). Sort -18, 3, 5, f in descending order. 5, 3, f, -18 Let t(i) = i**2 - 3*i - 4. Let c be t(4). Suppose 8 - 24 = 4*h. Sort 5, h, c in ascending order. h, c, 5 Let g = 74 + -74.39. Let i = g + -0.01. Sort i, 2, 3 in decreasing order. 3, 2, i Let j = -0.3 - -0.8. Let r = 3.5 - 4. Let w = r + j. Sort -2/17, 5, w in ascending order. -2/17, w, 5 Let q = -4.6 - -0.6. Put 158, 4/3, q in decreasing order. 158, 4/3, q Let a = 2 + -11. Let j = a + 8. Put -4, -2, j in descending order. j, -2, -4 Let d = -1.9 + 0.9. Put d, 0, 2 in increasing order. d, 0, 2 Let n = 38 + -42. Sort n, 4, 5 in ascending order. n, 4, 5 Suppose 0 + 24 = -12*x. Put 1, 8, x in increasing order. x, 1, 8 Let x be ((-1)/(-2))/(3/60). Suppose -i + 3*i = -x. Let g(y) = -y**3 + 5*y**2 + 15*y - 8. Let s be g(7). Sort 3, i, s in increasing order. i, s, 3 Let k = 24 - 14. Suppose 3*f = 5*f - k, 2*f = -3*q - 5. Put q, 3, 5 in increasing order. q, 3, 5 Let z(l) = -l**2 + 8*l - 4. Let h be z(8). Sort -2, h, 31 in increasing order. h, -2, 31 Let d = -5 - 4. Put -5, -3/2, -0.2, d in ascending order. d, -5, -3/2, -0.2 Let f be 2 + 3/(-6)*0. Sort 3, f, 5 in decreasing order. 5, 3, f Let j = -0.5 + 0.2. Let b = -0.5 - j. Let l = 63 - 63. Sort l, b, -0.5 in decreasing order. l, b, -0.5 Let z be 4 + (-2 + 0 - -2). Let n = -1 + 4. Suppose n*d - 6*d = -4*f, 0 = -z*f. Put d, 1, -3 in increasing order. -3, d, 1 Let v = 0.03 - -0.07. Let r = 66 - 62.7. Let h = -3 + r. Sort v, h, 0. 0, v, h Let k = 19 - 19.9. Let h = 0.1 - k. Put h, 4, -0.5 in increasing order. -0.5, h, 4 Let r be -5*1 + (-3)/(-3). Let x(f) be the first derivative of -f**3/3 - 5*f**2/2 - 6*f + 27. Let a be x(r). Put a, -5, 4 in decreasing order. 4, a, -5 Let a be (-2)/6*(-7 - -1). Let n be a/(-7) + (-76)/28. Suppose 2*c + 2*l + 2 = 3*c, c = l. Sort -4, c, n in increasing order. -4, n, c Let a = -18 + 24. Sort a, -4, -5 in descending order. a, -4, -5 Let g = -19 + 18. Let f(j) = -j + 13. Let y be f(8). Put y, g, 1/4 in descending order. y, 1/4, g Let f(p) = p - 1. Let y be f(-2). Let q(m) = 3*m + 3. Let n be q(y). Let h be n/45 + (-1)/5. Put 0, -0.2, h in descending order. 0, -0.2, h Suppose 4*n - 2*x = -2, n + 3 - 20 = -3*x. Suppose h + 3*u + 2 = 3, 5 = -5*u. Let r(q) = q**2 + 6*q + 3. Let c be r(-4). Put n, h, c in decreasing order. h, n, c Let x = -1 + 1. Let a(d) = 7*d**2 + d - 1. Let c be a(-2). Let i = c + -27. Put i, -0.1, x in decreasing order. x, -0.1, i Let p be 14/(-10) - 2/(-5). Let v be 2 + (p + 1)*-1. Sort v, -5, -4. -5, -4, v Suppose 25 = -0*o - 5*o. Let v = -6 + 9. Sort v, -4, o in descending order. v, -4, o Let p be 12/2 + -2*1. Let c = -0.7 - -0.5. Put -3, c, p in ascending order. -3, c, p Let n = -179/4 + 46. Let l = 0.3 + -0.3. Sort l, -1, n in decreasing order. n, l, -1 Let m = -47 + 47.1. Let c = 0.1 + -0.1. Put 0.4, m, c in increasing order. c, m, 0.4 Let n = 0 - -2. Let k = -3 + 2.6. Put k, 0.1, n in decreasing order. n, 0.1, k Suppose -2*n - 4*w = -0 - 10, 0 = -4*n + 5*w - 6. Let f be n*(-3 - 10/(-2)). Suppose -14 - 1 = -3*g, -5*g = 5*i - 25. Sort i, -1, f in ascending order. -1, i, f Suppose 0 = -2*x - x - 2*s + 13, 0 = 2*s + 8. Let m(j) = j**3 + 12*j**2 - 3*j - 11. Let n be m(-12). Suppose -2*t = -x*t - n. Sort t, 1, -2. t, -2, 1 Suppose 0 = h - 4*q - 9, 0 = 3*h + q - 12 - 2. Sort h, 0, 8 in ascending order. 0, h, 8 Let p(n) be the third derivative of n**4/12 - 5*n**3/6 - 2*n**2. Let f be p(5). Put 0, -3, f in descending order. f, 0, -3 Suppose -8*v + 10 = -10*v. Let q(g) = g**2 + 5*g - 2. Let z be q(v). Sort z, 3, 2/13. z, 2/13, 3 Suppose -4*f - 10 = f. Let b = f + 2. Let h = 0 + b. Sort h, -5, 0.3. -5, h, 0.3 Let g = -0.0183 + 5.2103. Let h = g - 0.172. Let s = -0.02 + h. Put 2/7, s, 2 in descending order. s, 2, 2/7 Let g = 5.17 + -0.17. Let l = -8 + g. Put l, 5, -0.2 in decreasing order. 5, -0.2, l Let t(z) = z**2 + 4*z + 3. Let h be t(-4). Suppose 5*a + 3*m - 5 = 0, 3*a = 4*m - 3*m + 3. Let j = 3 + -4. Put h, j, a in descending order. h, a, j Let m = 1 - 3. Suppose 3*p - 5*p + 2*q = 4, 0 = 4*q + 12. Put m, p, 0.2 in descending order. 0.2, m, p Let f = 2.984 - -0.016. Sort -0.5, 5, f in increasing order. -0.5, f, 5 Let f = -1.92 + 2. Let j = 41.08 - 41. Let o = j - f. Put 0.06, o, -1 in descending order. 0.06, o, -1 Suppose 11 = 2*o + 3*o - 2*x, 2*o = -x - 1. Sort -5, 0, o in decreasing order. o, 0, -5 Let o(b) = b**3 + 8*b**2 - 9*b + 5. Let j be o(-9). Suppose 4*v - 40 = -j*c, -4*v + 15 = -v. Put -1, -2, c in descending order. c, -1, -2 Let r(u) = u**2 - 6*u + 7. Let x be r(5). Sort x, -4, 4 in descending order. 4, x, -4 Let j = 4 + -1. Let s = 0.423 - 0.023. Sort s, -0.2, j. -0.2, s, j Let o = -5 + 0. Let c = 8 + -4. Let w = -5 + c. Put 3, w, o in increasing order. o, w, 3 Let q = 8 + -9. Sort -5, 6, q in descending order. 6, q, -5 Let a be -1*(-15)/25*-5. Sort a, 4, -5 in ascending order. -5, a, 4 Let f = -12 - -7. Let v(c) = -c**3 - 2*c**2. Let b be v(-2). Put 4, f, b in ascending order. f, b, 4 Let m(p) = -7*p**2 + 7*p - 1. Let k be m(-6). Let v = k - -2357/8. Let t = -0.12 + -4.88. Put t, 0.1, v in decreasing order. 0.1, v, t Let m be 3 +
{ "pile_set_name": "DM Mathematics" }
1, -1, 15 Factor -2*n**5 + 86*n**4 - 1256*n**3 + 6496*n**2 - 3136*n - 10976. -2*(n - 14)**3*(n - 2)*(n + 1) Factor -q**3/5 + 38*q**2/5 + 79*q/5 + 8. -(q - 40)*(q + 1)**2/5 Factor b**5 - 21*b**3 - 20*b**2. b**2*(b - 5)*(b + 1)*(b + 4) Factor -j**2 + 33*j - 32. -(j - 32)*(j - 1) Suppose 2*d**4/7 + 12*d**3 + 986*d**2/7 + 600*d + 728 = 0. Calculate d. -26, -7, -2 Find b, given that -324*b**4 + 180*b**3 + 156*b**2 - 4*b - 8 = 0. -1/3, 2/9, 1 Factor 5*k**2/2 + 30*k - 160. 5*(k - 4)*(k + 16)/2 Find c such that 5*c**2/4 + 575*c/2 + 66125/4 = 0. -115 Factor 4*m**4 + 88*m**3 + 672*m**2 + 2048*m + 2048. 4*(m + 2)*(m + 4)*(m + 8)**2 Determine r so that -2*r**5 - 10*r**4 + 2*r**3 + 10*r**2 = 0. -5, -1, 0, 1 Factor -5*f**3 - 755*f**2 - 28875*f - 28125. -5*(f + 1)*(f + 75)**2 Suppose 52*o**2/5 - 106*o/5 + 4/5 = 0. Calculate o. 1/26, 2 Solve 2*s**4/5 - 32*s**3/5 + 22*s**2/5 + 128*s/5 - 24 = 0. -2, 1, 2, 15 Solve -3*s**5 - 66*s**4 - 423*s**3 - 984*s**2 - 624*s = 0. -13, -4, -1, 0 Determine g, given that 2*g**3 + 102*g**2 + 292*g + 192 = 0. -48, -2, -1 Factor 4*b**4 + 72*b**3 + 320*b**2 - 72*b - 324. 4*(b - 1)*(b + 1)*(b + 9)**2 Factor 12*a**2/5 + 44*a/5 + 24/5. 4*(a + 3)*(3*a + 2)/5 Suppose -10*a**5/9 + 56*a**4/9 - 20*a**3/3 - 32*a**2/9 + 70*a/9 - 8/3 = 0. Calculate a. -1, 3/5, 1, 4 Solve 11*b**5/6 + 7*b**4 + 29*b**3/3 + 16*b**2/3 + b/2 - 1/3 = 0. -1, 2/11 What is z in -z**3/7 + 28*z**2 + 395*z/7 + 198/7 = 0? -1, 198 What is b in -b**5 + 308*b**4 - 24324*b**3 + 93632*b**2 - 92416*b = 0? 0, 2, 152 Suppose j**3 + 7*j**2 + 11*j + 5 = 0. Calculate j. -5, -1 Determine k, given that 3*k**3 - 216*k**2 + 4959*k - 35322 = 0. 14, 29 Let -4*w**3/3 + 49*w**2/3 - 152*w/3 + 35/3 = 0. Calculate w. 1/4, 5, 7 Factor 5*c**5 + 5*c**4 - 5*c**3 - 5*c**2. 5*c**2*(c - 1)*(c + 1)**2 What is l in -9*l**5/7 - 25*l**4/7 - 3*l**3 - 3*l**2/7 + 2*l/7 = 0? -1, 0, 2/9 Factor -3*v**4 - 156*v**3 - 2826*v**2 - 20748*v - 53067. -3*(v + 7)**2*(v + 19)**2 Factor -4*z**3/5 - 20*z**2 - 504*z/5. -4*z*(z + 7)*(z + 18)/5 Suppose y**2/2 + 233*y/2 + 231 = 0. Calculate y. -231, -2 Find y such that -2*y**3/5 + 882*y**2/5 - 96798*y/5 - 97682/5 = 0. -1, 221 Determine m so that 3*m**5/5 - 3*m**4/5 - 18*m**3 - 222*m**2/5 - 201*m/5 - 63/5 = 0. -3, -1, 7 Factor 5*i**4 + 110*i**3 - 5*i**2 - 110*i. 5*i*(i - 1)*(i + 1)*(i + 22) Determine c, given that 2*c**2/13 - 724*c/13 + 65522/13 = 0. 181 Factor c**4 - 3*c**3 - 13*c**2 + 51*c - 36. (c - 3)**2*(c - 1)*(c + 4) Let 4*a**2 - 360*a = 0. What is a? 0, 90 Suppose -5*f**5 - 75*f**4 + 750*f**3 + 2650*f**2 + 2775*f + 945 = 0. Calculate f. -21, -1, 9 Find w such that w**5/8 + 197*w**4/8 - 3*w**3/8 - 593*w**2/8 - 197*w/4 = 0. -197, -1, 0, 2 Factor 121*x**3 + 2134*x**2 - 788*x + 72. (x + 18)*(11*x - 2)**2 Factor -2*b**2/7 - 2728*b/7 - 930248/7. -2*(b + 682)**2/7 Factor 4*m**4 + 192*m**3 - 400*m**2. 4*m**2*(m - 2)*(m + 50) Find u such that 3*u**3/2 + 3*u**2 - 36*u = 0. -6, 0, 4 Find h such that -2*h**3 + 74*h**2 - 684*h = 0. 0, 18, 19 Let -9*a**4/7 - 60*a**3/7 - 51*a**2/7 + 24*a - 48/7 = 0. What is a? -4, 1/3, 1 Factor -5*t**5 + 25*t**4 - 20*t**3. -5*t**3*(t - 4)*(t - 1) Solve 2*r**2/3 + 4*r/3 + 2/3 = 0. -1 Factor -4*q**3 + 104*q**2 + 340*q + 232. -4*(q - 29)*(q + 1)*(q + 2) Factor 3*a**4/5 + 3*a**3 - 33*a**2/5 - 99*a/5 - 54/5. 3*(a - 3)*(a + 1)**2*(a + 6)/5 Factor -3*f**2/7 + 159*f/7 - 156/7. -3*(f - 52)*(f - 1)/7 What is n in 14*n**5/13 + 242*n**4/13 + 1496*n**3/13 + 3992*n**2/13 + 320*n + 896/13 = 0? -7, -4, -2, -2/7 Factor 3*t**2 + 60*t. 3*t*(t + 20) Factor 450*z**3 - 1540*z**2 + 1472*z - 256. 2*(5*z - 8)**2*(9*z - 2) Factor 2*a**2/11 - 236*a/11 + 234/11. 2*(a - 117)*(a - 1)/11 Determine c, given that c**4/4 - 8*c**3 - c**2/4 + 8*c = 0. -1, 0, 1, 32 Determine j so that -6*j**4/5 + 768*j**3/5 - 23796*j**2/5 - 9984*j - 5070 = 0. -1, 65 Suppose 3*x**5/8 - 19*x**4/8 - 15*x**3/4 + 63*x**2/4 - 101*x/8 + 21/8 = 0. What is x? -3, 1/3, 1, 7 Factor 8*k**2 + 84*k - 44. 4*(k + 11)*(2*k - 1) Determine p, given that -3*p**4 + 3*p**3 + 9*p**2 - 3*p - 6 = 0. -1, 1, 2 Factor z**3/9 - 63*z**2 + 26696*z/3 + 80656/9. (z - 284)**2*(z + 1)/9 Suppose 2*t**4/11 - 2*t**3/11 - 6*t**2/11 + 2*t/11 + 4/11 = 0. Calculate t. -1, 1, 2 Factor -2*d**2/7 + 28*d - 930/7. -2*(d - 93)*(d - 5)/7 Let -2*m**2/11 - 7114*m/11 - 7112/11 = 0. What is m? -3556, -1 Factor 3*t**4 + 255*t**3 - 1884*t**2 + 4380*t - 3312. 3*(t - 3)*(t - 2)**2*(t + 92) Factor -x**2/2 - 9*x/2 + 18. -(x - 3)*(x + 12)/2 Solve -17*v**5 - 8*v**4 + 51*v**3 + 58*v**2 + 16*v = 0. -1, -8/17, 0, 2 Find a such that -3*a**4/8 + 15*a**3/4 - 45*a**2/8 - 15*a/4 + 6 = 0. -1, 1, 2, 8 Solve -3*c**3 + 819*c**2 - 3240*c + 3228 = 0 for c. 2, 269 Solve y**3/2 - 187*y**2/6 + 211*y/3 - 20 = 0. 1/3, 2, 60 Factor 3*y**3 - 32*y**2 + 20*y. y*(y - 10)*(3*y - 2) Factor -10*w**3 + 118*w**2 - 176*w - 40. -2*(w - 10)*(w - 2)*(5*w + 1) Find k, given that -5*k**3 - 250*k**2 - 2860*k + 6760 = 0. -26, 2 Factor -t**2/5 + 44*t/5 - 43/5. -(t - 43)*(t - 1)/5 Find y, given that 15*y**5 + 175*y**4 + 390*y**3 - 1650*y**2 - 5125*y + 1875 = 0. -5, 1/3, 3 What is k in -3*k**5/5 - 3*k**4/5 + 33*k**3/5 + 27*k**2/5 - 54*k/5 = 0? -3, -2, 0, 1, 3 Factor -5*m**4 - 25*m**3 + 120*m**2. -5*m**2*(m - 3)*(m + 8) Solve 36*r**5 + 296*r**4 - 2240*r**3 - 18944*r**2 - 4096*r = 0 for r. -8, -2/9, 0, 8 Factor 5*b**5 - 15*b**4 - 120*b**3 - 140*b**2. 5*b**2*(b - 7)*(b + 2)**2 Suppose 5*i**5 + 25*i**4 - 10*i**3 - 140*i**2 - 40*i + 160 = 0. What is i? -4, -2, 1, 2 Factor 4*a**3 - 4*a**2 - 128*a + 240. 4*(a - 5)*(a - 2)*(a + 6) Factor -2*k**2/11 - 4626*k/11 - 9244/11. -2*(k + 2)*(k + 2311)/11 What is t in 3*t**4 - 33*t**3 + 105*t**2 - 75*t = 0? 0, 1, 5 Factor -a**4 + 28*a**3 - 100*a**2 + 96*a. -a*(a - 24)*(a - 2)**2 Find w, given that -4*w**4/5 + 34*w**3/5 + 12*w**2 + 2*w/5 - 4 = 0. -1, 1/2, 10 Factor -4*d**2 - 2752*d - 473344. -4*(d + 344)**2 Determine v, given that 266*v**2 - 526*v - 12 = 0. -3/133, 2 Factor 5*h**2 + 9710*h + 4714205. 5*(h + 971)**2 Solve 72*t**5 - 570*t**4 + 1089*t**3 + 213*t**2 - 216*t - 48 = 0 for t. -1/3, -1/4, 1/2, 4 Factor -5*c**2 + 570*c - 16245. -5*(c - 57)**2 Factor 8*l**2/13 + 2342*l/13 - 586/13. 2*(l + 293)*(4*l - 1)/13 What is q in -q**4 - 109*q**3 - 2915*q**2 + 3025*q = 0? -55, 0, 1 Solve -2*f**3/13 - 3156*f**2/13 - 1660056*f/13 - 291063152/13 = 0 for f. -526 Determine x, given that 4*x**5 - 30*x**4 + 38*x**3 + 116*x**2 - 192*x + 64 = 0. -2, 1/2, 1, 4 Solve -17*m**2/2 - 3*m = 0 for m. -6/17, 0 Suppose -4*g**4 + 16*g**3 + 8*g**2 - 48*g - 36 = 0. What is g? -1, 3 Let -10*y**4/9 - 22*y**3/3 - 92*y**2/9 + 16*y/3 = 0. What is y? -4, -3, 0, 2/5 Factor -2*d**2 - 704*d - 702. -2*(d + 1)*(d + 351) Factor -w**4/7 + 2*w**3/7 + 63*w**2 - 126*w. -w*(w - 21)*(w - 2)*(w + 21)/7 Factor 3*n**2 - 12408*n + 12829872. 3*(n - 2068)**2 Determine r so that -2*r**2/11 + 58*r/11 = 0. 0, 29 Factor -2*d**3/5 + 16*d**2/5 - 8*d + 32/5. -2*(d - 4)*(d - 2)**2/5 Determine t so that 3*t**5/5 - 603*t**4/5 - 609*t**3/5 + 603*t**2/5 + 606*t/5 = 0. -1, 0, 1, 202 Factor -o**2/6 - 11*o/3 - 35/2. -(o + 7)*(o + 15)/6 Suppose 2*t**2/11 - 28*t/11 + 26/11 = 0. What is t? 1, 13 Suppose -o**5/2 - 117*o**4/2 + 60*o**3 + 118*o**2 = 0. What is o? -118, -1, 0, 2 Solve -2*r**4 + 8*r**3 + 12*r**2 - 8*r - 10 = 0 for r. -1, 1, 5 Find d such that -35*d**3/3 - 40*d**2/3 + 695*d/3 + 100/3 = 0. -5, -1/7, 4 Factor 2*g**2/5 + 2*g - 28/5. 2*(g - 2)*(g + 7)/5 Let 11*o**4/2 + 19*o**3/2 + 4*o**2 = 0. What is o? -1, -8/11, 0 Determine t, given that 15*t**2/2 - 19*t/2 - 17 = 0. -1, 34/15 Factor 28*y**4/3 + 32*y**3/3 + 4*y**2/3. 4*y**2*(y + 1)*(7*y + 1)/3 Factor g**3 - 30*g**2 + 29*g. g*(g - 29)*(g - 1) Solve -5*j**2 - 75*j - 250 = 0. -10, -5 Determine j so that j**3/4 + 11*j**2/4 + 7*j = 0. -7, -4, 0 What is o in 4*o**3 - 96*o**2 - 2500*o - 2400 = 0? -15, -1, 40 Factor -2*q**2/15 - 142*q/15 - 44. -2*(q + 5)*(q + 66)/15 Factor -2*u**2/9 + 1660*u/3 - 344450. -2*(u - 1245)**2/9 Find t, given that -9*t**4 - 69*t**3 - 177*t**2 - 183*t - 66 = 0. -11/3, -2, -1 What is c in c**2/3 + 5656*c/3 + 7997584/3 = 0? -2828 What is n in -2*n**3/9 + 514*n**2/9 - 7840*n/9 + 30848/9 = 0? 8, 241 Let -2*p**2 - 84*p - 304 = 0. What is p? -38, -4 Suppose -g**3/4 + 7183*g**2/4 - 3223820*g - 3225616 = 0. What is g? -1, 3592 Factor -o**4/8 - 1333*o**3/8 - 443555*o
{ "pile_set_name": "DM Mathematics" }
ts digit of i? 3 Let x be (-8)/10*(-4 + -1). Suppose 56 = 2*j + x*y, -2*j = -8*y + 3*y - 11. What is the tens digit of j? 1 Let o(d) = -d - 10. Let l be o(-9). Let p(k) = -8*k**3 + 2*k**2 - k - 2. What is the units digit of p(l)? 9 Let g(r) = -r**3 + 10*r**2 + 5*r - 14. What is the hundreds digit of g(5)? 1 Let c be ((-10)/(-3))/((-2)/24). Let m = c - -60. Suppose 0 = -2*w - 2*w + m. What is the units digit of w? 5 Suppose -4*b + 101 + 59 = 0. What is the units digit of b? 0 Suppose 3350 + 1318 = 12*y. What is the tens digit of y? 8 Let u(m) = -2*m. Let p be u(1). Let x(j) = -2*j + 1. What is the units digit of x(p)? 5 Suppose 0 = 3*z - 2*y - 3*y + 99, -3*y = -3*z - 93. What is the units digit of (-14)/z + 31/2? 6 Let j be (1*-2)/2*3. Let o be 0 + 1 - (j - -2). Suppose 0 = -b - 3, 7 = 3*p + 3*b - o. What is the units digit of p? 6 Let c = 12 - 18. What is the units digit of (-3 - -1)/4*c? 3 Let d be ((-1)/(-2))/(2/12). Suppose 73 = 5*j + 3*i, -5*j + d*i + 71 = 4*i. Suppose -3*u + 7 = -j. What is the units digit of u? 7 Let a = 11 - 5. Suppose -2*x = -4*b + 30, -b = -a*b + 5*x + 50. What is the units digit of (-1)/b - 41/(-5)? 8 Suppose -13 = 3*h - 1. Let k = -3 - h. What is the units digit of k? 1 Suppose 5*q - 295 = -5*b, 5*q - 70 - 107 = -3*b. What is the tens digit of b? 5 Let o(q) = q**2 + 9*q - 18. What is the units digit of o(-17)? 8 Let k(m) = 2*m + 5. Let q be k(-5). What is the tens digit of (q/(-3))/((-3)/(-45))? 2 Suppose -2*l + 41 + 43 = 0. Let z be l/1*(1 + -2). What is the units digit of -1*1 - z/6? 6 What is the tens digit of (5 - 6)/((-1)/292)? 9 Let v(b) = b + 9. Let t be v(-11). Let p = 2 + t. Suppose -3*n = -5*y - 46, -2*n - 3*y + p = 1. What is the units digit of n? 7 Let x(z) be the second derivative of z**4/12 + 16*z**2 + 6*z. What is the units digit of x(0)? 2 Let z = 34 - 28. What is the units digit of z? 6 Let c be 1/(-1)*0/(-4). Suppose -q + 2*q = c. Suppose -2*o + 8 + 14 = q. What is the tens digit of o? 1 Let d(w) = w + 11. Let u be d(-8). Let j(g) = g**3 - g**2 + g + 30. Let i be j(0). Suppose u*f + 6 = i. What is the units digit of f? 8 Suppose -6*d + d + 3*p = 4, 5*p - 16 = -d. What is the units digit of (-2 - d) + (0 - -12)? 9 Let a(k) be the second derivative of -2*k - 1/12*k**4 + 0*k**2 + 0 - 4/3*k**3. What is the units digit of a(-7)? 7 What is the tens digit of (-8)/((-466)/(-94) + -5)? 8 Let v be (-1)/(1 + 8/(-10)). What is the units digit of ((-24)/(-5))/((-1)/v)? 4 Suppose -5*k = -0*k + f - 2044, 0 = 2*k - 3*f - 804. What is the tens digit of k? 0 Suppose 17*m - 10*m - 777 = 0. What is the units digit of m? 1 Let w(f) = -11*f - 98. What is the tens digit of w(-30)? 3 Suppose o - 2*o - 3*u = -349, o - 355 = -5*u. What is the tens digit of o? 4 Let s(l) = l**3 - 6*l**2 + 7*l - 7. Let p(o) = o**3 - 12*o**2 + o - 7. Let n be p(12). What is the units digit of s(n)? 3 Suppose 0 = -5*z + 167 + 93. What is the tens digit of z? 5 Suppose -1770 + 42 = -6*w. What is the tens digit of w? 8 Let l(g) = g - 2. Let t be l(5). Suppose t*z - z - 10 = 0. What is the units digit of z? 5 Suppose 190 + 92 = 2*x. Let f = x - 88. What is the units digit of f? 3 Suppose 3*y - 4*l - 66 = 0, 0 = 5*y + 4*l - 135 + 25. Let r be -3 + 1 - (-8)/2. Suppose 0*i + y = r*i. What is the units digit of i? 1 Let n = 1 - -4. Suppose n*s - 3*s = 36. What is the tens digit of s? 1 What is the tens digit of 6/(1 + 76/(-88))? 4 Let b(d) be the second derivative of -2*d**3/3 + 3*d**2 + 2*d. Let u be b(5). Let h = u - -21. What is the units digit of h? 7 Let l(a) = 7*a - 3. What is the tens digit of l(8)? 5 Let i be (3/(-1))/3 - -4. Suppose 2*v = i*t + 23, 0 = -v - 0*v - t - 1. Suppose -v*k - 10 = -9*k. What is the units digit of k? 2 Suppose 2*x + 24 = 3*x. Suppose -86 = -5*d + x. Suppose 0 = -y - 2 + d. What is the tens digit of y? 2 Let b(r) = -r**3 + 12*r**2 - 10*r - 9. Let v be b(11). Suppose v*u = 5*n - 128, -5*n - 3*u + 151 = 18. What is the tens digit of n? 2 Let x = -247 - -533. What is the tens digit of x? 8 Let x be (5 + 1)*5/15. Let h(s) = 2*s**2 + 1 - s**2 + 9*s - x + 2. What is the tens digit of h(-10)? 1 Suppose -2*k = -6*k + 36. What is the units digit of k? 9 Let o be 3/3*1/1. Let i(x) = 36*x - 1. Let m be i(o). Suppose 3*s + m = 8*s. What is the units digit of s? 7 Suppose -8 = g - 4. Let v(z) = z**3 + 6*z**2 + 5*z + 4. What is the tens digit of v(g)? 1 Let y be -1 + 6 + -1 + 0. Suppose y*h = -h + 5. Suppose 0 = u - 0 - h. What is the units digit of u? 1 Suppose 5*c = 3*k - 835, -5*c - 127 - 433 = -2*k. What is the units digit of k? 5 Let c(q) = q**2 - 4*q + 2. Let z be c(4). Let i(j) = 2*j**2 - 3*j + 3. What is the units digit of i(z)? 5 Let h(q) = q**3 + 4*q**2 + 3*q. Suppose -5*u - 17 = -7. Let b be h(u). Suppose -2*n + 12 = b. What is the units digit of n? 5 Suppose 0 - 6 = 2*l, 0 = -4*w - 5*l - 399. Let f = -41 - w. What is the units digit of f? 5 Let u(w) = -6*w - 1. Let f be u(-1). Suppose 2*m + 63 = f*m. What is the units digit of m? 1 Suppose 2*i = -3*p + 11, 5*i - 3*p - 11 - 6 = 0. Let t(n) = -n**3 + 10*n**2 - 7*n - 11. Let a be t(9). Suppose -i*j = -a*j + 12. What is the units digit of j? 4 What is the tens digit of 11/(-33) + 1622/6? 7 Let o(j) = -j**2 + 17*j + 37. What is the tens digit of o(18)? 1 Suppose 7*c + 39 = 10*c. What is the units digit of c? 3 Let z be (-8)/(-12) - 650/(-6). Let a = -77 + z. Suppose 4*u = q - 8, -4*q - 2*u = -3*u - a. What is the units digit of q? 8 Suppose 0 = 3*x - 4*u - 30, -5*u + 9 = 3*x - 21. What is the units digit of x? 0 Suppose 0 = 3*f - 29 - 7. What is the tens digit of f? 1 Let a be 2 + -12 - (0 - -2). Let n be 16/a + (-2)/3. Let o = n - -6. What is the units digit of o? 4 Let t(m) = 5*m + 10. Let b(o) = 4*o + 9. Let k(u) = 4*b(u) - 3*t(u). What is the units digit of k(-3)? 3 Let b(i) = 2*i**2 - 9*i - 24. What is the units digit of b(10)? 6 Let h(k) = 2*k**2 - 5*k + 4. Suppose 4*c - 3 = 3*c. What is the units digit of h(c)? 7 Let u(a) = 1 + 2*a**2 - 2*a**2 + 2*a**2. What is the units digit of u(-2)? 9 Let x(m) = 32*m - 1. Let g be x(1). Let o = g - 18. What is the tens digit of o? 1 Let y(f) = f**2 - 11*f + 8. Let i(p) = p**2 - 6*p + 4. Let r(u) = 5*i(u) - 3*y(u). What is the units digit of r(2)? 0 Let o = 46 - 28. What is the tens digit of o? 1 Let q(s) = 63*s**2 - 3*s + 3. What is the tens digit of q(1)? 6 Suppose -3 - 3 = 3*f. Let o(z) = -2*z**2 - 9*z - 6. Let b(j) = -3*j**2 - 14*j - 9. Let p(y) = 5*b(y) - 8*o(y). What is the units digit of p(f)? 3 Suppose -12 = -b + 3*b. Let v be -3*(-2 + (-4)/b). Suppose x + v*t = 25, 3*x - 2 = 4*t - 7. What is the units digit of x? 5 Let k be 24/(-6)*1/(-2). Suppose -4*i = -q - 68, -4*q + 32 = 5*i - k*i. What is the units digit of (i/(-20))/((-2)/5)? 2 Let c = -1 + 4. Let o be (9/c - -1)/(-1). What is the units digit of o/(-2) + (-42)/(-6)? 9 Let j = -1 + 0. Let n = j + -1. What is the units digit of 5 - (0 - -1)*n? 7 Suppose -5*q = -244 - 196. What is the tens digit of q? 8 Let u be 3 + -3 + (-1 - -5). Let o(i) be the third derivative of i**5/60 - i**4/12 - i**3/6 - i**2. What is the units digit of o(u)? 7 Let c be (-1)/(3/(-12)) + -2. Let m be c/(-3 + 2)*-2. Let a = m + 3. What is the units digit of a? 7 Let w be -2 + 4 + (2 - 2). Suppose 3*g - w = 2*g. Suppose g = -4*z + 14. What is the units digit of z? 3 Suppose 0 = -5*g - 2*g + 140. What is the tens digit of g? 2 Suppose 80 + 4 = 2*w. Suppose -3*r = -r - w. What is the tens digit of r? 2 Let z(c) = c**3 - 4*c**2 - 10*c + 6. What is the units digit of z(7)? 3 Let j(y) = -2*y**2 + 11*y. Let w be j(8). Let o be ((-6)/(-15))/(2/w). Let c = o - -22. What is the tens digit of c? 1 Let u(v) = 16*v + 30. What is the hundreds digit of u(10)? 1 What is the units digit of 8*42/72*(-1 + 58)? 6 Let q be (-4)/3 - 57/(-9). Suppose q*f + 4 + 1 = 0, s + f = 5. What is the units digit of s? 6 Let m(b) = 4*b**2 - 7*b - 15. What is the tens digit of m(-3)? 4 Let m = 20 - 9. Suppose -4*c + m + 17 = 0. What is the units digit of 1 + c - (-1 - -3)? 6 Let g be (1/(-2))/(1/2). Let s be (-1 + 2 + 0)/g. What is the units digit of (-2)/4*(s + -1)? 1 Suppose -3*t + 5*u + 3 = -23, -5*t + 4*u = -26. Suppose -t*s + 48 = -0*s. What is the tens digit of s? 2 What is the tens digit of 0 + -1 + -2 + 308? 0 Let x(y) =
{ "pile_set_name": "DM Mathematics" }
35*q - 27*q = -14*q - 23232. Calculate the remainder when q is divided by 158. 10 Calculate the remainder when 48 is divided by (957/(-44))/29*-4. 0 Let n = -376 + 376. Let h(g) = -g**2 - 17*g + 17. Suppose -3*t - f + 22 = 0, 4*t = -0*f + 2*f + 16. What is the remainder when h(n) is divided by t? 5 Let l be (6 - 1) + -1 + 0 + 1. Suppose 0 = -l*q - 10, 0 = 3*o - 0*q - 5*q - 34. Calculate the remainder when 37 is divided by o. 5 Let l(m) = m**3 + 32*m**2 + 85*m + 788. Let t(v) = 30*v - 1. Calculate the remainder when t(5) is divided by l(-30). 35 Let w(h) = 2*h - 8. Suppose -6*u + 5*u = -18. What is the remainder when 75 is divided by w(u)? 19 Suppose -z = -7*z + 18. Let v = 301 + -296. What is the remainder when v is divided by z? 2 Suppose -30 = 127028*z - 127034*z. What is the remainder when 2949 is divided by z? 4 Calculate the remainder when (18822/1)/((-29)/(464/(-32))) is divided by 5. 1 Suppose 0 = 5*w - 5, 9 = r + 5*w - 10. Let f = 14 - 36. Let j = f + 49. What is the remainder when j is divided by r? 13 Let i(u) = 3 - u**3 + 14*u**2 - 6*u - 18 - 2. What is the remainder when i(13) is divided by (22 - 2) + -1 - -1? 14 Suppose 0 = -13*b + 5614 - 557. Suppose q - b = 3*c, 3*c + 3*q = 6*q - 387. Calculate the remainder when 69 is divided by 5/((-25)/c) - 2. 21 Let s = 3 - 3. Suppose 3*b + 6 = 0, s*v = v + b - 13. Suppose -x - 4*x = 5*i - v, 0 = -2*i. What is the remainder when 16 is divided by x? 1 Let g be (1 + -2)/((-45)/2475*(0 - -1)). Let q(t) = t**3 + 4*t**2 - 11*t - 8. Let y be q(-8). Calculate the remainder when (-15 + 0)*y/g is divided by 13. 9 Let r = 6 + -4. Suppose -12 = h - r*h. Calculate the remainder when h is divided by (-42 + 44)*(-6 + 10). 4 Let i(a) = -5*a**2 + 6*a + 2. Let o(t) = t**2 - t. Let v(y) = i(y) + 4*o(y). Let w be v(-1). Calculate the remainder when 46 is divided by w/(4/12)*48/(-9). 14 Suppose -56 = -5*i - 16. Suppose -99*u + 96*u + 2*o + 307 = 0, 2*u - 5*o - 212 = 0. Calculate the remainder when u is divided by i. 5 Let y = -292 - -306. Let n = 622 - 385. What is the remainder when n is divided by y? 13 Let q(k) = -k - 3. Suppose 454 = 15*b - 13*b. Suppose 3*u = -u + 2*g + 196, 5*u = -2*g + b. Calculate the remainder when u is divided by q(-10). 5 Suppose -k + 67 - 25 = 0. What is the remainder when (9*7/k)/(2/8) is divided by ((-3)/(-6))/(2/20)? 1 Let i(j) = 1 + 3*j**2 + 3*j + 3 - 2*j**2 + 13. What is the remainder when i(9) is divided by 42? 41 Suppose 4*z - 383 = -147. Calculate the remainder when z is divided by 8*(-42)/((-357)/17). 11 Let s = 260 + -255. Suppose -4*n + 86 = 2*g + 12, 5*n = -s*g + 95. Calculate the remainder when 700 is divided by n. 16 Suppose -97*s - 851499 = -394*s. Calculate the remainder when s is divided by 99. 95 Let z = 4787 - 4772. Calculate the remainder when 53 is divided by z. 8 Suppose 2*l - 70 = 306*t - 304*t, 2*t - 2 = -l. What is the remainder when 1/((-1)/(-83)) - 0 is divided by l? 11 What is the remainder when 110 is divided by -3*(-32 - (-10 - -14))? 2 Let g = 23639 + -23626. Calculate the remainder when 1633 is divided by g. 8 Suppose -12*t + 205 + 59 = 0. Suppose -963 - 71 = -t*p. Calculate the remainder when p is divided by 24. 23 Suppose 0 = 87*w - 477 - 393. What is the remainder when 165 is divided by w? 5 Calculate the remainder when 195 is divided by ((-322)/(-21) + -14)/(2/6). 3 Let s = -1 + 4. Suppose 0 = s*y - 78 - 18. Calculate the remainder when (18/(-21)*-1)/((-148)/(-10360)) is divided by y. 28 Suppose 5*c - 26 = 4*r, -c - 11*r = -6*r + 18. Suppose -3*x = -4*f + 891, c*f + 871 = 6*f + x. Calculate the remainder when f is divided by 55. 54 Let j = 7684 - 7336. Calculate the remainder when j is divided by 31. 7 Let j be 10/(-4)*(1 - 3). Suppose 20*v - 2*l + 20 = 21*v, 3*v - 49 = j*l. Calculate the remainder when 35 is divided by v. 17 Suppose -11*b = z - 15*b - 37, -5*z + 147 = -b. Calculate the remainder when 747 is divided by z. 22 Let l(u) = -u**2 + 5*u + 10. Let c be l(6). Suppose -77 = c*v - 11*v. Let b = v - -14. Calculate the remainder when b is divided by 17. 8 Suppose 0 = -32*d + 1015 + 17097. Suppose -7*u + d - 559 = 0. What is the remainder when 12 is divided by u? 0 Suppose 20*z = 38888 - 588. Suppose 51*c - z = 1604. Calculate the remainder when 270 is divided by c. 63 Let i(x) = 12*x**3 + x - 1. Let q(a) be the second derivative of a**3/2 + 4*a**2 + 2*a. What is the remainder when q(5) is divided by i(1)? 11 Suppose -1507 = -20*w + 9*w. Let b = 234 - w. Let i = -14 - -31. Calculate the remainder when b is divided by i. 12 Let t = -7674 + 7700. Calculate the remainder when 1323 is divided by t. 23 Let v be 1*2*(21 - -3). What is the remainder when 8/((-128)/(-5640))*9/(90/4) is divided by (-1 + -9)*v/(-10)? 45 Let d = 348 - 326. Suppose 0 = u + 3, 0 = 2*k + 3*u - d - 27. Calculate the remainder when 345 is divided by k. 26 Let p(r) = 68*r + 1820. Calculate the remainder when p(74) is divided by 11. 10 Let z be (-11)/(-3) - (69/9 + -8). Suppose -z*s - s = -215. Suppose -2*o = 2*o + 4*f - 84, -3*o + s = -2*f. What is the remainder when 64 is divided by o? 13 Suppose -1046 = 101*c - 4035 - 2061. What is the remainder when 96 is divided by c? 46 Suppose 3*h = -n - 18 - 67, -4*n + 2*h - 354 = 0. Let b = n + 97. Suppose -b*g + 12 + 33 = 0. Calculate the remainder when 69 is divided by g. 4 Let o(d) = d**3 - 5*d**2 + 4*d - 6. What is the remainder when 43590/330 + (-6)/(-1) - 5/55 is divided by o(5)? 12 Calculate the remainder when (-335 + 4)/((-6)/6) is divided by 49. 37 Suppose -3*j = -2*z - 167, 2*j - 7*j + 280 = -3*z. Calculate the remainder when 290 is divided by j. 54 Let g(m) = 7*m + 51. Let w be g(-7). Suppose -a = -2*r - 104, 7*a - 6*a = -w*r + 92. Calculate the remainder when a is divided by 20. 18 Suppose -5*l - 22 = -12. Let b be (0 - l) + -3 + 6. Suppose -b*c = -152 - 263. What is the remainder when c is divided by 17? 15 Let f(v) = -v**2 - 6*v + 4. Let l be f(-6). Suppose -l*u + 5*u + 5*q - 71 = 0, -4*q = -5*u + 210. Calculate the remainder when u is divided by 13. 7 Let y(n) = -2*n**3 - 39*n**2 - 138*n + 10. What is the remainder when 10008 is divided by y(-15)? 53 Let f(k) = 76*k**2 - 475*k + 1405. What is the remainder when f(3) is divided by 43? 19 Let f be 28*((-15)/10 - 0). Let c = f - -57. Suppose -12*t + c*t - 45 = 0. Calculate the remainder when 28 is divided by t. 13 Let j be (-8)/16*30/(-5). Suppose 2*s - 61 = j*g - 20, -2*s = -4*g - 38. What is the remainder when 248 is divided by s? 23 Let v(j) = -299*j - 181. What is the remainder when 271 is divided by v(-1)? 35 Let b = -39 + 55. Let h be (344/(-12))/(2/(-3)). What is the remainder when h*1 - (-5)/((-45)/18) is divided by b? 9 Suppose 2*g - 39 = 47. Let p = 27 - 16. Suppose -194*m - p = -195*m. Calculate the remainder when g is divided by m. 10 Suppose 48 = 2*g + 2*g. Suppose 0*w - a = -3*w + 189, 3*a + 177 = 3*w. What is the remainder when w is divided by g? 5 Suppose -2 = -l + 16. Let b = 59284 - 59199. What is the remainder when b is divided by l? 13 Let h(a) = -a**3 + 3*a**2 + 2*a + 6. Let b be h(4). Let f(k) = 2*k**2 + 7. Let l be f(-5). Let i = l - b. Calculate the remainder when 174 is divided by i. 56 Let u(n) = -12*n**2 + 2*n - 2. Let o be u(-2). Let b(g) = -g**2 - 51*g + 165. Calculate the remainder when 9/2 - 1/(-2) is divided by b(o). 2 Let k be ((-72)/48)/((-2)/(-464)). Let t = 405 + k. Calculate the remainder when 209 is divided by t. 38 Suppose -14 = -5*w + 131. Let k(t) = t**2 + 15*t + 22. Let b be k(-13). Calculate the remainder when 109/(b + 0 - -5) is divided by w. 22 Let q = -175 - -178. Suppose q*b + 15*b - 1008 = 0. What is the remainder when b is divided by (-9)/6 - (-82)/4? 18 Suppose -6412 = -113*k - 176*k - 1788. What is the remainder when 1373 is divided by k? 13 Let i(b) = -2*b**3 - 7*b**2 - 10*b + 2. Let l be i(-2). Suppose -l*d + 5*d = -50. Calculate the remainder when d is divided by 10. 0 Suppose -39*v = 1315 + 1454. Let n = v - -111. Let i(a) = -a**3 + 9*a**2 + 9*a - 4. What is the remainder when i(6) is divided by n? 38 Let v = -5763 + 5970. What is the remainder when v is divided by 53? 48 Let q = -16309 + 16440. What is the remainder when 916 is divided by q? 130 Let p(f) = f**3 - 17*f**2 + 20*f - 72. Let y be p(17). Calculate the
{ "pile_set_name": "DM Mathematics" }
*x**2 Let x(w) = -48*w**2 + 90*w + 2. Let v(c) = c. Determine v(x(d)). -48*d**2 + 90*d + 2 Let w(r) = -10*r**2. Let n(s) be the second derivative of s**4/12 - 5*s. Calculate w(n(z)). -10*z**4 Let o(c) = 3*c. Let i(j) = -826*j. What is i(o(m))? -2478*m Let x(y) = -2*y. Let v = -10 - -31. Suppose 54 = 2*z + 12. Let r(g) = -v + z + 2*g. Determine x(r(m)). -4*m Let q(x) = 2*x**2. Let n(i) = 2*i. Let d(u) = -u. Let b be (2 + (-3)/3)*3. Let m(v) = b*n(v) + 4*d(v). Determine q(m(z)). 8*z**2 Let v(y) = -y**2 - 2*y - 2. Let z(j) = -6*j**2 - 11*j - 11. Let l(t) = 11*v(t) - 2*z(t). Let r(d) = d. What is l(r(g))? g**2 Let t(v) = -2*v + 2*v + 5*v. Let l(m) = m**2 - 6*m + 6. Let j(b) = -b**2 + 5*b - 5. Let r(q) = 6*j(q) + 5*l(q). Give t(r(i)). -5*i**2 Let w(r) = -682*r**2. Let u(s) = -s**2. Determine w(u(k)). -682*k**4 Let g(q) = 21*q**2. Let l(m) = -127 + 127 + m**2. Give g(l(j)). 21*j**4 Let i(g) = 4*g. Let t(j) = 111*j. Give t(i(y)). 444*y Let c(a) = -10*a + 4. Let w(f) = 9*f - 3. Let r(u) = 3*c(u) + 4*w(u). Let t be (-12)/(-15) - (-1)/5. Let p(v) = -1 - v + t. Determine r(p(b)). -6*b Let s(f) = -2*f**2. Let a(p) = 49*p + 2. What is s(a(l))? -4802*l**2 - 392*l - 8 Let i(l) = l**2 + 2. Let y(n) = 27*n. Calculate i(y(p)). 729*p**2 + 2 Let y(m) = m + 1. Let d(g) = g**3 - 5*g**2 + 3*g - 3. Let k be d(5). Let a(h) = 8*h + 12. Let p(j) = k*y(j) - a(j). Let b(q) = q. What is p(b(c))? 4*c Let l(m) be the first derivative of -5*m**3/3 - 3. Let g = -7 + 3. Let q(h) = -h. Let w(z) = -3*z. Let n(f) = g*q(f) + 2*w(f). Give l(n(b)). -20*b**2 Let a(s) = -280*s**2 + 15*s + 1. Let x(z) = 2*z. What is a(x(i))? -1120*i**2 + 30*i + 1 Let r(o) be the second derivative of 2*o**3/3 + 5*o - 2. Let m(v) = -4*v**2. Calculate m(r(l)). -64*l**2 Let c(r) = -r**2 + 2. Let w(x) = 2. Let s(i) = -3*c(i) + 2*w(i). Let o(n) = -16*n**2 + 11. Let u(q) = -2*o(q) - 11*s(q). Let v(k) = -3*k**2. Calculate v(u(m)). -3*m**4 Let c(j) = 4*j**2. Let g(i) = 47*i. Determine g(c(b)). 188*b**2 Let f(a) = -2*a**2 + 9*a. Let y(m) = 294*m**2. Determine f(y(k)). -172872*k**4 + 2646*k**2 Let m(o) = -7*o**2. Let k(x) = 15*x**2 - 13. Let g(i) = 7*i**2 - 6. Let z(j) = -13*g(j) + 6*k(j). Calculate m(z(h)). -7*h**4 Let i(a) = -19*a**2. Let s(l) = 12*l**2. Give s(i(b)). 4332*b**4 Let a(b) = 68*b**2 + 30*b - 1. Let y(x) = -x. Calculate a(y(p)). 68*p**2 - 30*p - 1 Let t(h) = -3*h. Let o(v) = v**3 - 2*v**2 - 3*v + 2. Let b(j) = j + 10. Let y be b(-7). Let c be o(y). Let q(p) = p**c + p**2 - 3*p**2. What is q(t(s))? -9*s**2 Suppose -3*d = 2*v + 3, -v = 2*v + 2*d - 3. Let a(z) = -2*z - v + 3. Let m(f) be the third derivative of -f**4/12 + f**2. What is a(m(g))? 4*g Let i(l) be the second derivative of l**3/3 - 18*l. Let n(j) = -6*j**2 + 11*j. Let t(m) = -m**2 + 2*m. Let z(r) = 2*n(r) - 11*t(r). Calculate i(z(y)). -2*y**2 Let q(s) = 9*s**2. Let t(z) = -4*z**2 - z - 1. Let d(r) = r**2 + r + 1. Let a(h) = d(h) + t(h). Calculate a(q(x)). -243*x**4 Let t(p) = -p. Let s(w) = 5*w**2 - 2*w. Give s(t(u)). 5*u**2 + 2*u Let k(x) = -3*x + 4. Let d(q) = 5*q - 7. Let j(y) = 4*d(y) + 7*k(y). Let v = 9 - 4. Let t(a) = v*a - 2*a + 2*a. Calculate j(t(i)). -5*i Let x(k) be the first derivative of k**3 - 8. Let v(c) = -5*c. Give x(v(g)). 75*g**2 Let n(p) = -15*p. Let w(q) = q**2 + q + 1. Let x(r) = -r - 1. Let m be -3 + -3 + 2 + 3. Let o(f) = m*w(f) - x(f). Calculate o(n(s)). -225*s**2 Let f(w) = -w**2. Let y be -1 - -3 - 0/6. Let o(u) = -y*u - 6*u + 0*u - 6*u**2. Let q(c) = -2*c**2 - 3*c. Let r(l) = -3*o(l) + 8*q(l). Calculate r(f(h)). 2*h**4 Let f(m) = 2*m. Let b(d) = -2*d**2 - 6. Let l(j) = -j**2 - 9. Let g(q) = 6*b(q) - 4*l(q). Give f(g(y)). -16*y**2 Let a(b) be the third derivative of -5*b**4/24 + b**2. Let g(d) be the third derivative of d**4/24 + 18*d**2. Determine g(a(v)). -5*v Let r(p) = 15*p. Let d(f) = 46*f. Calculate r(d(l)). 690*l Let v(d) = -5*d + 6. Let j(n) = 5*n - 5. Let y(i) = -6*j(i) - 5*v(i). Let x(m) = 2*m. What is x(y(l))? -10*l Let j(r) = -r**3 - 7*r**2 - 6*r + 1. Let n be j(-6). Let q(z) = -n + z + 1. Let f(w) = 2*w**2. Calculate f(q(s)). 2*s**2 Let t(s) = -s. Let x(w) be the third derivative of w**5/30 + 4*w**2. Determine x(t(o)). 2*o**2 Let q(y) = 13*y**2. Let g(l) = 140*l. What is g(q(b))? 1820*b**2 Let t(v) = -14*v**2 - 12. Let f(y) = -y**2 - 2 + 3 - 2. Let i(q) = -12*f(q) + t(q). Let u(o) be the first derivative of -o**2/2 + 1. Determine i(u(d)). -2*d**2 Let d = 0 + 2. Let t(c) = -2*c**2 - 2*c**d + 3*c**2. Let y(a) = 5*a**2 - 7. Let f(p) = -2*p**2 + 3. Let g(l) = -14*f(l) - 6*y(l). Determine t(g(x)). -4*x**4 Let f(o) be the third derivative of o**5/24 + 2*o**3/3 - 5*o**2. Let g(u) be the first derivative of f(u). Let j(b) = b. Calculate g(j(t)). 5*t Let b(l) = -l. Suppose -7*z + 2*z - 23 = -3*q, 4*q + 4*z - 84 = 0. Let u(i) = -q*i**2 + 28*i**2 - 11*i**2. What is u(b(y))? y**2 Let x(z) = -z**2. Let d(o) = 384*o. What is x(d(j))? -147456*j**2 Let q(v) = -v**2. Let c(g) be the first derivative of 13*g**2/2 - 4. Give c(q(u)). -13*u**2 Let v(q) = 2*q**2. Let t(w) = 2085*w. Calculate t(v(b)). 4170*b**2 Let p(o) = -5*o. Let m(j) be the second derivative of -j**3/3 + 6*j. What is m(p(x))? 10*x Let i(d) = -d. Let f(y) be the third derivative of -13*y**4/24 + 11*y**2. Calculate f(i(c)). 13*c Let i(y) = -y + 1. Let b(z) = z**2 - 9*z + 9. Let u(d) = 2*b(d) - 18*i(d). Let m(h) = -3*h**2 + h**2 - h**2. Calculate u(m(a)). 18*a**4 Let c(i) = 50*i**2. Let z(v) = -4*v**2. Give c(z(o)). 800*o**4 Let v(f) = 6*f. Let z(h) = -6*h. Determine v(z(k)). -36*k Let y(h) = -3. Let s(i) = -1. Let a(b) = 5*s(b) - 2*y(b). Let c(n) = -4*n + 6. Let u(g) = -6*a(g) + c(g). Let k(m) = -2*m. Give k(u(j)). 8*j Let j(z) = -11*z. Let u(w) = w. Let q(c) = 2*j(c) + 18*u(c). Let i(r) = 9*r. Calculate q(i(x)). -36*x Let l(z) be the second derivative of -z**4/4 + z. Let i(d) be the third derivative of -d**4/8 - d**2. Give l(i(j)). -27*j**2 Let a(m) = m - 72. Let v(t) be the first derivative of -2*t**3/3 + 27. Calculate a(v(w)). -2*w**2 - 72 Let p(y) = -y. Let g(j) = 2*j**2 - 5*j. Let w(m) = -3*m**2 + 7*m. Let q(n) = 7*g(n) + 5*w(n). Determine q(p(a)). -a**2 Let d(n) = 13*n + 7. Let y(o) = -17*o**2. What is d(y(g))? -221*g**2 + 7 Let m(s) = 3*s + 0 + 0. Suppose 0 = -4*j + x - 4, -2*j - x + 4 = -j. Let l(c) = j - 2*c**2 - 3 + 3. What is l(m(v))? -18*v**2 Let u(l) = -9*l**2 + 2*l - 18*l**2 - 7*l**2 + 4*l**2. Let s(h) = -h**2. What is s(u(b))? -900*b**4 + 120*b**3 - 4*b**2 Let n(z) = 7*z - 5. Let h(m) = -3*m + 2. Let u(i) = 5*h(i) + 2*n(i). Let b(f) be the second derivative of 0*f**2 + 0 + 3*f + 1/3*f**3. Give u(b(g)). -2*g Let q(g) = 2*g**2. Let p(a) be the third derivative of -a**4/12 + 6*a**2. Determine p(q(f)). -4*f**2 Let g(o) = 35*o + 13. Let b(f) = -2*f**2. Give b(g(h)). -2450*h**2 - 1820*h - 338 Let z(n) = 17*n. Let b(w) = 41*w**2. Calculate z(b(h)). 697*h**2 Let j(m) = -m - 5. Let v(w) = -3*w - 21. Let k(c) = -21*j(c) + 5*v(c). Let d(u) be the third derivative of -u**5/20 - 116*u**2. Determine d(k(q)). -108*q**2 Let d(m) = -92*m**2. Let t(v) = -5*v**2. Calculate d(t(z)). -2300*z**4 Let q(j) = -2*j - 7. Let n(v) = -v - 4. Let f = 12 + -16. Let p(b) = f*q(b) + 7*n(b). Let h(x) be the first derivative of 4*x**3/3 + 1. Give p(h(k)). 4*k**2 Let g(s) = 82*s - 2. Let j(h) = 8*h**2. Determine j(g(l)). 53792*l**2 - 2624*l + 32 Let t(x) = 4*x - 2. Let y(z) = 17*z - 9. Let b(k) = 9*t(k) - 2*y(k). Let m(n) = -n + 1. Let c(g) = -1. Let q(h) = c(h) + m(h). Determine b(q(i)). -2*i Let u(o) = 2*o. Let v(y) = 13*y**2 + 3. Give v(u(d)). 52*d**2 + 3 Let a(p) = 2*p**2 - 3*p - 3. Let k(n) = n**2 - 2*n - 2. Let f(u) = -2*a(u) + 3*k(u). Let w(j) = 4*j**2. What is w(f(y))? 4*y**4 Let b(x) = -5*x**2. Let a(f) = 3. Let l(j) = j**2 - 8. Let c(s) = -8*a(s) - 3*l(s). Determine b(c(p)). -45*p**4 Let z(c) = -25*c**2. Let h(w) = w - 18. Calculate z(h(x)). -25*x**2 + 900*x - 8100 Suppose -8 = -2*n - 2*n. Let y(i) = -1 - n*i + 1. Let r(d) = 1. Let x(t) = -t - 1. Let a(b) = r(b) + x(b). Give y(a(m)). 2*m Let v(j) = -46*j**2. Let d(x) = -2*x. What is d(v(q))? 92*q**2 Let l(i) = -21*i**2. Let x(j) be the first derivative of -j**5/60 + 2*j**3 + 8. Let s(d) be the third derivative of x(d). What is l(s(r))? -84*r**2 Suppose 2*b - 15 = -b. Let v(a) = 4*a**2 - a**2 - b*a**2. Let i(m) =
{ "pile_set_name": "DM Mathematics" }
k: 1, i: 2, g: 3, q: 1}. 0 Two letters picked without replacement from bojoybsas. What is prob of sequence yb? 1/36 What is prob of sequence aiii when four letters picked without replacement from {a: 13, i: 6}? 65/3876 Three letters picked without replacement from zucuczpucu. What is prob of sequence cuc? 1/30 What is prob of sequence yy when two letters picked without replacement from yyyyypypyypy? 6/11 Three letters picked without replacement from {t: 1, c: 2}. Give prob of sequence ctc. 1/3 What is prob of sequence crhh when four letters picked without replacement from {r: 7, h: 1, c: 1}? 0 What is prob of sequence bu when two letters picked without replacement from buttbbubu? 1/6 Calculate prob of sequence cw when two letters picked without replacement from {w: 6, l: 4, c: 4}. 12/91 Two letters picked without replacement from {w: 2, x: 5}. Give prob of sequence wx. 5/21 Two letters picked without replacement from svsssscvsrooosoo. What is prob of sequence sr? 7/240 What is prob of sequence oxoo when four letters picked without replacement from xoooxx? 1/20 Two letters picked without replacement from hmgmmmhf. What is prob of sequence hh? 1/28 What is prob of sequence ky when two letters picked without replacement from iycccikiibpckcip? 1/120 What is prob of sequence edd when three letters picked without replacement from eeedeeed? 1/28 Two letters picked without replacement from jcjccccjhchjqccchc. What is prob of sequence cc? 5/17 Two letters picked without replacement from {t: 1, a: 6, g: 4}. What is prob of sequence gg? 6/55 Four letters picked without replacement from {p: 1, u: 3, x: 3}. Give prob of sequence uxux. 3/70 What is prob of sequence zdd when three letters picked without replacement from nznidnnneiendddeeedi? 1/342 Two letters picked without replacement from {q: 9, x: 1, w: 1, y: 1}. Give prob of sequence qw. 3/44 Two letters picked without replacement from kkkkkkkwkwkwwk. Give prob of sequence wk. 20/91 Calculate prob of sequence sjb when three letters picked without replacement from {i: 4, j: 4, s: 3, b: 5}. 1/56 Three letters picked without replacement from xhxuuymxxxymucx. What is prob of sequence cxy? 2/455 Two letters picked without replacement from afefafafatffatatvva. What is prob of sequence tv? 1/57 Two letters picked without replacement from {t: 2, l: 3, j: 4, z: 3, o: 2, y: 1}. Give prob of sequence jy. 2/105 Four letters picked without replacement from xzzqzwxwzwvz. What is prob of sequence wzzz? 1/66 Three letters picked without replacement from uveeijn. What is prob of sequence jun? 1/210 Calculate prob of sequence rn when two letters picked without replacement from igsmrsgn. 1/56 Four letters picked without replacement from cbboobbycbocbyb. Give prob of sequence bobc. 3/260 Four letters picked without replacement from eekekebbebmbeekme. What is prob of sequence bemk? 2/595 What is prob of sequence kp when two letters picked without replacement from {p: 1, k: 1, m: 1}? 1/6 What is prob of sequence gyy when three letters picked without replacement from {y: 14, g: 5}? 455/2907 Three letters picked without replacement from lxcxxzwluwwlllcwulww. What is prob of sequence wxu? 1/190 Four letters picked without replacement from {v: 1, s: 1, r: 1, b: 2}. Give prob of sequence bsrb. 1/60 Calculate prob of sequence zkp when three letters picked without replacement from {e: 2, p: 1, q: 1, w: 1, z: 1, k: 1}. 1/210 Three letters picked without replacement from dstdpwtppt. What is prob of sequence pwt? 1/80 Four letters picked without replacement from gtfffftgtf. What is prob of sequence fgfg? 1/126 Three letters picked without replacement from dwwgdgwdd. What is prob of sequence wdw? 1/21 Two letters picked without replacement from bkbege. What is prob of sequence bg? 1/15 Four letters picked without replacement from yfnqvwvy. Give prob of sequence ywnv. 1/420 Four letters picked without replacement from chkkddkdbbhkkdkbk. Give prob of sequence ddbb. 3/2380 What is prob of sequence luq when three letters picked without replacement from {c: 2, q: 1, n: 5, l: 3, u: 1, t: 3}? 1/910 Two letters picked without replacement from vptgp. Give prob of sequence tg. 1/20 Four letters picked without replacement from {w: 1, s: 2, m: 14}. Give prob of sequence wmss. 1/2040 Three letters picked without replacement from safacsiisrar. Give prob of sequence iaf. 1/220 Four letters picked without replacement from {a: 4, q: 3, k: 8, o: 2, j: 2, w: 1}. What is prob of sequence qako? 8/4845 What is prob of sequence ht when two letters picked without replacement from khhkhkkkhthtkhhhtttk? 2/19 Calculate prob of sequence gb when two letters picked without replacement from {r: 2, s: 1, b: 4, g: 9}. 3/20 Calculate prob of sequence tk when two letters picked without replacement from {z: 1, t: 1, k: 1}. 1/6 Calculate prob of sequence rt when two letters picked without replacement from artkg. 1/20 Calculate prob of sequence eeet when four letters picked without replacement from {e: 4, t: 7, g: 7}. 7/3060 What is prob of sequence wh when two letters picked without replacement from {h: 8, w: 2}? 8/45 Calculate prob of sequence ro when two letters picked without replacement from {o: 12, r: 1}. 1/13 What is prob of sequence gcxv when four letters picked without replacement from {c: 1, g: 1, x: 1, b: 3, v: 1}? 1/840 Three letters picked without replacement from {y: 3, e: 9}. What is prob of sequence yyy? 1/220 Two letters picked without replacement from yyyyjylcjljyyyyy. Give prob of sequence yj. 1/8 Three letters picked without replacement from qwswqwqsqwszszsqwsk. Give prob of sequence sss. 20/969 What is prob of sequence vo when two letters picked without replacement from jbvbobvb? 1/28 Calculate prob of sequence qq when two letters picked without replacement from {q: 19, i: 1}. 9/10 Two letters picked without replacement from {c: 6}. What is prob of sequence cc? 1 What is prob of sequence ou when two letters picked without replacement from {u: 1, o: 4, k: 2, i: 2, g: 1}? 2/45 Calculate prob of sequence kap when three letters picked without replacement from caucpckupdpkckdu. 3/1120 Calculate prob of sequence wwm when three letters picked without replacement from wwmwmwwwwwwww. 5/39 What is prob of sequence mbmb when four letters picked without replacement from xmmbmxjmmxbmbmj? 1/130 Three letters picked without replacement from ffyzpyycfpd. What is prob of sequence yfy? 1/55 Two letters picked without replacement from ffffffnfffnnnffffff. What is prob of sequence nf? 10/57 Calculate prob of sequence ek when two letters picked without replacement from {k: 1, i: 2, e: 1, h: 3}. 1/42 Two letters picked without replacement from hylinji. Give prob of sequence yl. 1/42 Two letters picked without replacement from mkfm. Give prob of sequence mm. 1/6 Three letters picked without replacement from {j: 1, r: 1, t: 3, y: 1, x: 1}. Give prob of sequence yrt. 1/70 Calculate prob of sequence sy when two letters picked without replacement from syyyyyyy. 1/8 Calculate prob of sequence ytn when three letters picked without replacement from {r: 1, p: 3, y: 1, n: 1, t: 5, q: 4}. 1/546 Three letters picked without replacement from {p: 5, y: 1, r: 7}. Give prob of sequence ryr. 7/286 Two letters picked without replacement from {w: 2, r: 2, d: 1}. What is prob of sequence wr? 1/5 Two letters picked without replacement from ppp. What is prob of sequence pp? 1 What is prob of sequence cwc when three letters picked without replacement from {c: 2, w: 1, n: 1}? 1/12 What is prob of sequence dddm when four letters picked without replacement from mmmmmmmmmmmddmdmmdd? 35/3876 What is prob of sequence hnh when three letters picked without replacement from hjnnh? 1/15 Two letters picked without replacement from {n: 6, y: 3, v: 7, d: 1}. What is prob of sequence yd? 3/272 What is prob of sequence tggq when four letters picked without replacement from qqtttgqtt? 0 Two letters picked without replacement from {s: 1, z: 7, h: 11}. Give prob of sequence hz. 77/342 Calculate prob of sequence hlel when four letters picked without replacement from lllhrlhre. 1/126 Two letters picked without replacement from eyerrryryoro. Give prob of sequence re. 5/66 Four letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
- 13*j**3 + 35*j**2. Let r(c) = c**3 - c**2. Determine o(l) + 15*r(l). -5*l**3 Let s(o) = -o**3 + 7*o - 4. Let h(w) = -w**3 + 8*w - 5. Suppose 0 = 5*i - 4*i - 39. Let g be i/2*(-4)/(-6). Let v = g + -7. Determine v*s(b) - 5*h(b). -b**3 + 2*b + 1 Let z(d) = 0*d + 0 - d - 1. Let h(j) = -j**2 - j - 5. Let q(y) = 2*h(y) - 6*z(y). Let p(t) = t**2 - t + 1. Determine 4*p(n) + q(n). 2*n**2 Let w(n) = -5*n + 3. Suppose -40 = 5*z - 2*o, -4*o = -3*z - 25 - 13. Let l(d) = -d**2 - 9*d - 8. Let t be l(z). Let h(b) = -16*b + 10. Give t*w(m) - 3*h(m). -2*m Let t(s) = s. Let q(i) = -3. Give q(u) - t(u). -u - 3 Let x(j) = -1. Let q(i) = -2*i - 5. Let f(w) = w**3 - 4*w**2 + 4*w - 4. Suppose 2*b = -8, 2 - 1 = 3*d + 2*b. Let n be f(d). Calculate n*q(v) + 6*x(v). 2*v - 1 Let g(s) = -s + 1. Let y(f) = -41 + 18 + 24. What is g(a) - y(a)? -a Let t(x) = 5*x - 11. Let d(n) = 17*n - 23. Let g(j) = 8*j - 11. Let y(f) = -6*d(f) + 13*g(f). Let l = 0 + 3. Calculate l*t(r) - 7*y(r). r + 2 Let u(z) = -5*z**2 - z + 2. Suppose l + 6 = -3*n, l - 5*n = -n + 15. Let c(p) = 6*p**2 + 2*p - 2. What is l*u(d) + 2*c(d)? -3*d**2 + d + 2 Let g(l) = -l**2 + 1. Let r(x) = 2*x**3 - 12*x**2 + 12. Suppose 3*k = -5 + 8. Give k*r(b) - 12*g(b). 2*b**3 Let v(j) = 5*j**2 - 2*j + 2. Let h = -1 - -3. Let x(c) = 5*c**2 + h + 5*c**2 - 4*c**2 - 3*c. What is -4*v(b) + 3*x(b)? -2*b**2 - b - 2 Let l(w) = w + 4. Let u(q) = -2*q + 1. Let i(m) = m + 1. Let g(j) = -4*i(j) - u(j). Give -2*g(v) - 3*l(v). v - 2 Let m(h) = 15*h**3 - 6*h**3 - 8*h**3. Let y(k) = -k + 1. Let i(z) = -m(z) - y(z). Let p(c) = -3*c**3 + 6*c - 6. Calculate -6*i(g) + p(g). 3*g**3 Let w(d) = -2*d**3 - 17*d**2 + 6*d - 18. Let z be w(-9). Let t(q) = -7*q - 4. Let x(n) = 15*n + 9. Calculate z*t(r) + 4*x(r). -3*r Let b(x) = -x**3 + 14*x**2 + x - 11. Let z be b(14). Let h(g) = -5*g**2. Let f(r) = -7*r**3 - r + 1. Let i be f(1). Let v(q) = -2*q**2. Give i*v(d) + z*h(d). -d**2 Let o = -3 - -4. Let u(m) = 3 + 1 + 6*m - o - 2*m**2 - 3*m. Let c(f) = -f**2 + f + 1. Calculate -6*c(l) + 2*u(l). 2*l**2 Let b(w) = -126*w**2 + 16. Let l(x) = -42*x**2 + 5. Determine -5*b(h) + 16*l(h). -42*h**2 Let o(g) = 6*g - 2. Let c(f) = -7*f + 3. Determine 3*c(r) + 4*o(r). 3*r + 1 Let t(l) = l**3 + 2*l + 57. Let b(f) = 4*f**3 + 7*f + 172. What is 2*b(o) - 7*t(o)? o**3 - 55 Let g(c) = 15*c**2 - 8*c + 2. Let o(f) = -16*f**2 + 8*f - 1. Let i(l) = 7*g(l) + 6*o(l). Let h(z) = z + 0 - 1 + 0 - z**2. What is 24*h(t) + 3*i(t)? 3*t**2 Let d(b) = -b**2 - 2*b - 4. Suppose -5*n - 18 = -2*n. Let k be (-12)/(-8)*16/n. Let p(h) = h**2 + h + 3. What is k*p(z) - 3*d(z)? -z**2 + 2*z Let m(y) = 22*y**2 - 7*y + 8. Let c(k) = -7*k**2 + 2*k - 3. Let r(z) = 7*c(z) + 2*m(z). Let l(o) = -5*o**2 - 4. Determine -5*l(w) + 4*r(w). 5*w**2 Let b(j) = 5 - 179*j - 1 + 172*j. Let g(n) = 8*n - 5. Let m(z) = -z**3 + 6*z**2 + 8*z - 2. Let a be m(7). Determine a*g(y) + 6*b(y). -2*y - 1 Let m(v) = -v. Let b(j) be the second derivative of j**6/240 + j**5/60 + j**4/6 - 3*j. Let k(g) be the third derivative of b(g). Give k(f) + 5*m(f). -2*f + 2 Let o(u) = u + 1. Let p(m) = -2*m**3 - 2*m**2 + 6. Calculate -o(d) - p(d). 2*d**3 + 2*d**2 - d - 7 Let t(q) = q**3 - 6*q - 2. Let o(y) = y. What is 4*o(b) + t(b)? b**3 - 2*b - 2 Suppose -17*a + 14*a = 9. Let x(s) = -2*s**2 + 5*s + 5. Let i(m) = m**2 - 3*m - 3. Determine a*x(o) - 5*i(o). o**2 Let w(g) = 2*g**3 + 4*g**2 + 4*g + 5. Suppose 0 = -f - 1 - 19. Let i = -21 - f. Let p(x) = -2 - 1 - x**2 + 2 - x. What is i*w(n) - 4*p(n)? -2*n**3 - 1 Let r(j) = 84*j**3 + 27. Let w(u) = u**3 + 1. What is -2*r(c) + 54*w(c)? -114*c**3 Let b(t) = 6*t**3 + 6*t**2 - 2*t. Let j be 2/(-5) - 18/5. Let o(k) = 4*k**3 - 3*k**3 + 4*k**3 - k + 5*k**2 + 0*k**3. Calculate j*o(s) + 3*b(s). -2*s**3 - 2*s**2 - 2*s Let p = 12 - 8. Let w(k) = -5*k + p + 6*k - 4 + k**2. Let u(g) = -g**2 + 1. Calculate -u(z) + w(z). 2*z**2 + z - 1 Let h(k) = -k**3 + 2*k**2 + k - 2. Let z(u) = u**3 - u**2 + 1. Let o(l) = -7*l**3 + 11*l**2 + 5*l - 10. Let w(t) = o(t) + 2*z(t). Determine 9*h(v) - 2*w(v). v**3 - v - 2 Let q(c) = c**3 + 4*c**3 + c**2 - c + c**3 - 4*c**3. Let p(r) = r**3 + r**2 - r. Determine 2*p(o) - 2*q(o). -2*o**3 Let u(t) = -4*t + 2. Let r(s) = s + 1. What is 5*r(b) + u(b)? b + 7 Let a(g) be the third derivative of g**5/12 - 25*g**3/6 + 8*g**2. Let r(v) = -v**2 + 6. What is -6*a(m) - 25*r(m)? -5*m**2 Let d(j) = 9*j - 2*j - 2*j - 2*j - 1. Let h(l) = -7*l + 2. Calculate -13*d(g) - 6*h(g). 3*g + 1 Let s(u) = -u**3 + u**2 - 1. Let p(w) = 2 - w**3 + w + 2*w**3 - w. Let l = 6 + -8. Determine l*s(t) - p(t). t**3 - 2*t**2 Let n(x) = 3*x**3 - 3*x**2 + 3*x - 1. Let g be 3 + 2/(-3 - -1). Let a(t) = 3*t**3 - 2*t**2 + 2*t - 1. Determine g*n(k) - 3*a(k). -3*k**3 + 1 Let m(r) = 9*r**2 - 3*r - 7. Let a(q) = 46*q**2 - 16*q - 36. Let u(s) = 2*a(s) - 11*m(s). Let n(g) = 11*g**2 - 2*g - 8. Give 5*n(d) + 8*u(d). -d**2 - 2*d Let r(p) = -14*p**2 + 11*p - 11. Let t(j) = 5*j**2 - 7*j - 2. Let o(y) = y + 2. Let h(v) = 3*o(v) + t(v). Let s = -11 + 7. Calculate s*r(a) - 11*h(a). a**2 Let v(g) = -g**3 - g**2. Let h(m) = 72*m**3 + 66*m**2. Determine 2*h(y) + 132*v(y). 12*y**3 Let d(c) = c + 6. Let b be d(-5). Suppose -u - b = 4. Let x(h) = 3*h**3 - 5*h + 4. Let s(y) = -y**3 + y - 1. Calculate u*s(r) - x(r). 2*r**3 + 1 Let k(s) = -7*s**3 + s**2 + 5*s. Suppose -1 = i - 6. Let l(m) = -6*m**3 + m**2 + 4*m. Determine i*l(a) - 4*k(a). -2*a**3 + a**2 Let a(h) = 17*h. Let b(o) = -4*o. Let i(v) = v. Suppose -t = -3*t - 2. Let u(g) = t*b(g) + 4*i(g). What is 6*a(c) - 13*u(c)? -2*c Let s(y) = 3*y - 4. Let l(n) = -7*n + 9. Let i be 84/48 - (-2)/8. What is i*l(c) + 5*s(c)? c - 2 Let q(z) = -2*z**2 - z + 4. Suppose -3*u = -3*w, -2*w = -5*u + 6 + 6. Let j(a) = -1. Determine u*j(s) + q(s). -2*s**2 - s Let d(u) = -4*u - 1. Let m(y) = 12*y + 3. Give 17*d(c) + 6*m(c). 4*c + 1 Let k(y) = -26*y**3 - 6. Let c(u) = -u**3 - 8*u**2 + 11*u + 14. Let b be c(-9). Let j(l) = 9*l**3 + 2. What is b*k(i) - 11*j(i)? 5*i**3 + 2 Let v(w) = -7*w**2 - 5*w + 3. Let d be (-8)/(-12) + 17/(-3). Let y(z) = -3*z**2 - 2*z + 1. Determine d*y(u) + 2*v(u). u**2 + 1 Let s(k) = -2*k - 21. Let v(f) = -f - 7. What is -3*s(w) + 8*v(w)? -2*w + 7 Let k(t) = 3*t + 11. Let x(d) = 2*d + 7. Let a(z) = -5*k(z) + 8*x(z). Let n(l) = 3*l + 3. Let u be (2 + -2)/(-1) - -11. Determine u*a(w) - 4*n(w). -w - 1 Let p(f) = f**3 + f**2 + 1. Let s(l) = 10*l**3 + 6*l**2 + 7. What is -5*p(n) + s(n)? 5*n**3 + n**2 + 2 Let t(a) = -4*a**3 - 2*a**2 - 31*a - 3. Let f(s) = -s**3 - s**2 - s - 1. What is -3*f(g) + t(g)? -g**3 + g**2 - 28*g Let o(x) = 8*x - 7*x + 8*x + 0*x + 3. Let v = 8 - 15. Let y(p) = 5*p - 1. Let f(l) = -5*l. Let j(q) = 3*f(q) + 2*y(q). Determine v*j(k) - 4*o(k). -k + 2 Let m(j) = -6*j**2 + 3*j. Let u(a) = 7*a**2 - 3*a. Let q(h) = 3*m(h) + 2*u(h). Let l(k) = 5*k**2 - 4*k - 1. Give 2*l(t) + 3*q(t). -2*t**2 + t - 2 Let n(t) = t + 5. Let l(r) be the third derivative of -r**4/12 - 5*r**3/3 - 50*r**2. What is 4*l(v) + 9*n(v)? v + 5 Suppose 4*d - 3*d = 6. Let b(o) = -2*o - 1. Let q(w) = -2*w - 1. Determine d*b(g) - 7*q(g). 2*g + 1 Let g(v) = 4*v**2 - 5*v + 1. Suppose 0*m + 3 = -h - 3*m, -2*h - 5*m = 4. Let f(d) = 2*d**2 - 3*d + 1. Calculate h*g(t) - 5*f(t). 2*t**2 - 2 Suppose -2*b - 27 = -5*t, 3*b - 25 - 22 = -5*t. Let f(q) = -5 - 7*q + 3*q + t*q**3 - q. Let w(z) = -3*z**3 + 2*z + 2. Determine 2*f(k) + 5*w(k). -k**3 Let o(m) = 3*m + 1. Let l(c) = 10*c + 2. Determine -2*l(r) + 7*o(r). r + 3 Let m(k) = 5*k + 4. Let d(t) = -2 + 6*t + 6 + 1. Suppose -5*h + 12 = -13. Give h*m(f) - 4*d(f). f Let b(r) = -9*r**2 - r - 3. Let d(s) = s**2 + 1. What is b(o) + 5*d(o)? -4*o**2 - o + 2 Let b(a) = 21*a + 1. Let c(h) = -64*h - 3. Calculate -8*b(x) - 3*c(x). 24*x + 1 Let h(g) = -3*g - 7. Let r be 5/40 - 92/(-32). Let z(v) be the third derivative of -3*v**2 + 1/24*v**4 + 1/3*v**r + 0 + 0*v. Determine -2*h(i) - 7*z(i). -i Let q be (-2 + 2)*-1 + -5. Let w(a) = 9*a + 18. Let c(o) = -6*o - 12. Let d(y) = -8*c(y) - 5*w(y). Let h(l) = 3*l + 5. What is q*d(r) + 6*h(r)? 3*r Let x(y) = 1. Let p be 7 - 16/((-4)/(-1)). Let w(b) = -1 - 6 - p*b + 4. Give w(f) + 3*x(f). -3*f Let r(i) = 5*i + 19. Let w(p) = -p - 1. Determine r(k) + 2*w(k). 3*k + 17 Let j(n) = -n**2 - n - 2. Let a(d) = -3*d**2 - 4*d - 9. Determine 2*a(k) - 9*j(k)
{ "pile_set_name": "DM Mathematics" }
. Let u = 149 + -140. Calculate the remainder when a is divided by u. 4 Suppose -d = 5*o - 44, 4*o = -0*d - 4*d + 48. Let l = -499 - -189. What is the remainder when (-2)/(-4)*l/(-1 + -4) is divided by o? 7 Let j be (56 + -55)*5*1. Suppose j*w + 5*h - 40 = 0, w + 30 = 6*w + 3*h. Calculate the remainder when 88 is divided by w. 1 Let x = 5443 + -5339. What is the remainder when 302 is divided by x? 94 Let a(o) = 13*o**2 + 3*o + 1. Let b = 4135 - 4111. What is the remainder when a(-2) is divided by b? 23 Let p(t) = 4*t**2 - 69*t - 312. Calculate the remainder when p(-13) is divided by 75. 61 Suppose 0 = -7*x + 2200 + 1559. Let d = x + -529. What is the remainder when 53 is divided by d? 5 Let q = -11856 - -11870. Calculate the remainder when 2593 is divided by q. 3 Calculate the remainder when -108*27/(-18) - (4 + -14) is divided by 89. 83 Let p = -8 + 12. Suppose 0 = 2*l + p + 2, -5*l - 53 = -2*o. Calculate the remainder when o is divided by ((437/95)/(-23))/(((-8)/(-10))/(-4)). 0 Let v(n) = 2*n - 51. Let g be v(14). Let f = g - -26. Suppose 0 = 2*l + f*s - 93, 4*l - 116 = s + 91. What is the remainder when 152 is divided by l? 50 Let y(p) = -1410*p + 580. What is the remainder when y(-1) is divided by 662? 4 Suppose -26*m - 16*m = -3*m - 1482. What is the remainder when m is divided by 31? 7 Let k = 3788 - 3749. Calculate the remainder when 69 is divided by k. 30 Calculate the remainder when (15 - 21)*395/(-10) is divided by 61. 54 Suppose -256 - 851 = -20*g + 153. What is the remainder when 509 is divided by g? 5 Suppose -4*v + 9 = 2*d - 29, 5*d + v - 86 = 0. Suppose -378 = -d*b + 10*b. What is the remainder when 376 is divided by b? 52 Let g(q) = -264*q + 1839. What is the remainder when g(6) is divided by 139? 116 Let i(g) = 180*g**2 - 43*g - 168. What is the remainder when i(-4) is divided by 78? 76 What is the remainder when 8019 is divided by ((-4)/(-6))/(354/7434)? 11 Suppose -40 = -2*q + 5*j + 35, 4*q - 125 = 5*j. Let i = -23 - -10. Let h = q + i. Calculate the remainder when 31 is divided by h. 7 Let w = -5070 - -5105. What is the remainder when 2587 is divided by w? 32 Let v(z) = -z**2 - 8*z - 10. Suppose -12*p - 21 = -777. What is the remainder when p is divided by v(-4)? 3 Suppose -5*o = -7*o - 164. Let b = o + 95. What is the remainder when 37 is divided by b? 11 Let q(a) = -3*a - 1. Let o = -18 + 3. What is the remainder when (1/(5/(-21)))/(3/o) is divided by q(-2)? 1 Suppose k - c - 3*c = -1053, -3*k + 5*c = 3194. Let t = 2133 + k. Suppose 0 = 30*z - 25*z - t. Calculate the remainder when z is divided by 43. 40 Let v be (-6)/(-15) - (-219)/15. Suppose 0 = -3*o + v. What is the remainder when 21/14*156/18 is divided by o? 3 What is the remainder when 96/30 + -3 - 6924/(-30) is divided by 116? 115 Let o = -34 + 0. Suppose -8*h = -9*h - 9. Let c = h - o. Calculate the remainder when 148 is divided by c. 23 Let s(a) = -a + 3. Let d be s(-1). Suppose d*c - 66 = 194. Suppose -5*b + c = -50. Calculate the remainder when b is divided by 12. 11 Suppose -8*p - 44 = -12*p. Suppose -3*n + p - 5 = 0. What is the remainder when 84 is divided by n + (-1 - -2) + 26? 26 Let g(q) = -16*q + 82. Let l(y) = 16*y - 79. What is the remainder when l(6) is divided by g(5)? 1 Suppose -3806*t + 1081 = -3783*t. What is the remainder when 57 is divided by t? 10 Let g(r) = -26*r + 2146. Suppose -16 = -2*p + n, -3*p - 3*n + 0*n + 6 = 0. Let u = 25 - p. Calculate the remainder when g(76) is divided by u. 18 Let g(w) = -5 + 3 + 5*w - 3. What is the remainder when g(6) is divided by (-1026)/(-78) + (-4)/26? 12 Let k(g) = -2*g**3 - 23*g**2 + 66*g - 7. Calculate the remainder when 103 is divided by k(-14). 5 Let j = -46 + 47. What is the remainder when ((-71 + 0)*j)/(3 + -4) is divided by 25? 21 What is the remainder when 9/(-19 - 107) - (-19307)/14 is divided by 14? 7 Let n(s) = -254 + s - 2*s**3 + 131 - 4*s**2 + 139. Let b be n(-5). Suppose -b = -4*f + t, 0 = 5*f - t + 71 - 273. What is the remainder when f is divided by 17? 7 Let z = -81 - -341. Suppose y - 205 - z = 2*d, -1390 = -3*y + 5*d. Calculate the remainder when y is divided by 38. 37 Calculate the remainder when 757 is divided by 23/((-2990)/(-20)) - 3274/(-13). 1 Suppose -z - i = -4*z + 10436, -4*z = i - 13910. Suppose -12*w = -z + 826. What is the remainder when w is divided by 32? 29 Suppose -3*r = -3*n + 231, 2*n - 17*r = -20*r + 184. What is the remainder when 1825 is divided by n? 82 Let f = 5364 + -5335. What is the remainder when 170 is divided by f? 25 Suppose -k = -71 + 1. Suppose -97*g - k = -99*g. What is the remainder when 68 is divided by g? 33 Let n(u) = -u**3 - 42*u**2 + 43*u + 6. Let y be n(-43). Suppose 3*x + h - 75 = 0, 3*x - y*x + h + 75 = 0. What is the remainder when x is divided by 6? 1 Let d(w) = -w**2 - 16*w + 3. Calculate the remainder when ((-104)/234*141)/((-5)/3 - -1) is divided by d(-13). 10 Let f(n) = -2*n**3 - 3*n**2 + 11*n + 7. Calculate the remainder when f(-4) is divided by 8 - (16 + -24 + 6/1). 3 Let b(i) be the third derivative of i**5/60 + i**4/12 - i**3/3 + 13*i**2. Let x(a) = -a**2 - 16*a - 6. Calculate the remainder when x(-13) is divided by b(-5). 7 Suppose -5*q - 72 - 83 = d, -3*d - 478 = 2*q. Let c = 290 + d. Let i = c + -100. What is the remainder when 56 is divided by i? 26 Let p = 2086 - 2083. Calculate the remainder when 1009 is divided by p. 1 Let t = -999 + 1095. Calculate the remainder when 10556 is divided by t. 92 Let p = -105 - -108. Let a be (-1)/p*0 + -2. What is the remainder when 63 is divided by (77/(-21))/(a/6)? 8 Let d = -639 + 672. Calculate the remainder when 554 is divided by d. 26 Let k(d) = 31 - 17*d - 14 - d**2 + 15. Calculate the remainder when k(-12) is divided by 5. 2 Let j(x) be the first derivative of x**4/4 - 20*x**3/3 + 39*x**2/2 - 20*x - 12. Calculate the remainder when j(18) is divided by 18. 16 Let n = 11592 - 11533. Calculate the remainder when 2366 is divided by n. 6 Let h(g) = 16339*g + 1 - 16355*g + 18. Let s(q) = q**2 - q + 26. What is the remainder when h(-2) is divided by s(0)? 25 Let t(l) = 8*l - 17. Let y be t(8). Suppose 0 = -5*u + 57 - y. Suppose 5*s = -u*k + 29, 6*k = k - 3*s + 101. Calculate the remainder when 40 is divided by k. 18 Suppose -11*b = -15*b + 4*h + 24, 3*h + 14 = 2*b. Suppose -14*m - b*i = -10*m - 284, -5*i - 315 = -5*m. What is the remainder when m is divided by 34? 33 What is the remainder when (-18)/2*((-3895)/57 - -29) is divided by 113? 15 Suppose -5*j + 113 = -137. Let p be j/14 + ((-6)/14)/(-1). What is the remainder when 38 is divided by (-1)/(248/(-336) + p/6)? 10 Let x = 46678 - 46673. Let h = -2 - -6. What is the remainder when x is divided by h? 1 Let z = -86 - -109. Suppose -z*t + 10979 + 11538 = 0. Calculate the remainder when t is divided by 98. 97 Let f = 5490 - 5336. Calculate the remainder when f is divided by (-104)/(-3) - 1/(-3). 14 Let w = -1998 + 2015. Calculate the remainder when 447 is divided by w. 5 Let z = -11438 + 13039. What is the remainder when z is divided by 271? 246 Let c(y) = -19*y**2 - 228*y - 2. What is the remainder when 3425 is divided by c(-6)? 15 Let h = 16434 + -16403. Calculate the remainder when 294 is divided by h. 15 Let t(k) = -k - 9. Let x be t(-5). What is the remainder when 3 + (-322)/(-10) - x/(-20) is divided by 8? 3 Suppose -x = -k - 4*x + 119, -4*x = 5*k - 562. Let q = -79 + k. What is the remainder when q is divided by (18/15)/(3/20)? 7 Calculate the remainder when (-29)/(5 + 1632/(-324)) is divided by 23. 1 What is the remainder when 2857 is divided by ((-96)/(-15))/((-64)/(-160)) - 1*5? 8 Let y = -112 - -22. What is the remainder when 87 is divided by y/4*(-24)/30? 15 Let h(t) = t**3 - 45*t**2 + 2*t - 63. Let l be (-12)/48 + (-21)/(-4) - -40. What is the remainder when 71 is divided by h(l)? 17 Suppose -33577 + 9443 = -22*d. Calculate the remainder when d is divided by 48. 41 Let p = -19 + 57. What is the remainder when -101*(-270)/145 + 4*(-13)/754 is divided by p? 36 Let j(f) = -5*f**2 + 18*f - 53*f - f**3 - 10 + 31*f. Suppose -5*x - k - 39 + 10 = 0, 5*x + 5 = 5*k. What is the remainder when 38 is divided by j(x)? 8 What is the remainder when 458 is divided by (-2526)/2105 + 1552/10 + 0? 150 Let k = 1 - 78. Let o be (594/k)/(1/(-7)). Sup
{ "pile_set_name": "DM Mathematics" }
316 + -192. What is the remainder when j is divided by 24? 4 Suppose -z - 3*v + 30 = 0, 2*z - 70 + 10 = v. What is the remainder when z is divided by 21? 9 Suppose 5*c = 4*p + 16, 2 = -3*p + 5*c - 10. Let o = p - -9. Suppose -4*s + 2*v + 8 = 0, -4*s + 5*v + 4 = -4. What is the remainder when o is divided by s? 1 Suppose 0 = -5*w + 71 + 304. Suppose 0 = -8*z + 3*z - w. Let y(o) = o**3 + 16*o**2 + 8*o - 16. Calculate the remainder when y(z) is divided by 23. 20 Suppose -3*m - 3 = -27. Suppose -m*r + 3*r + 80 = 0. Calculate the remainder when 30 is divided by r. 14 Let t(f) = f + 31. Calculate the remainder when 559 is divided by t(-26). 4 Suppose 2*w + 16 - 6 = 0. Let n(r) = -r**3 - 3*r**2 + 5*r - 6. Let p be n(w). Suppose 0*c + p = c. Calculate the remainder when 36 is divided by c. 17 Suppose -v + 105 = -6*u + 11*u, -4*v + 437 = 3*u. Calculate the remainder when v is divided by 23. 18 Let y(q) = -q**2 + 10*q + 11. Let u be y(7). Suppose -15 = 3*s + 51. Let w = u + s. What is the remainder when 29 is divided by w? 9 What is the remainder when 154 is divided by (4/48*4)/((-7)/(-1092))? 50 Suppose -b + c = -3*b + 37, -3*b = 2*c - 53. Suppose b*w - 24*w = -6. Suppose 0 = -a - w*a + 225. Calculate the remainder when a is divided by 19. 18 Let s be (-4)/26 - 132/(-13). Suppose -10*c = -5*c - s. Suppose 6 = b + n, -b - c*n = 3*n - 10. Calculate the remainder when 18 is divided by b. 3 Suppose 8*t = -n + 3*t + 21, n = 4*t + 21. Suppose n = 5*j - 234. Suppose -3*h + j = 3*d, -2*d + 3 = -5*h - 3. Calculate the remainder when 24 is divided by d. 11 Suppose -2*d + 1 = -3. Suppose -m - 28 = -g, 5*g + 3*m - 170 = d*m. Let s = -43 - -55. What is the remainder when g is divided by s? 9 Let f(z) = 33*z**3. Let u be f(1). Let n = u - 21. Let j = -7 + n. What is the remainder when 19 is divided by j? 4 Let f be (18/5)/((-16)/(-40)). Suppose -4*w = -2*d - 5214, f*w = 6*w + 5*d + 3900. Calculate the remainder when 4/(-5)*w/(-18) is divided by 15. 13 Let j be 2*1/(-8) - 3180/(-48). Let b = -32 + j. What is the remainder when 67 is divided by b? 33 Let u be 2/(-6)*(-2 + -4). Suppose -u*h - h - 228 = 0. Let o = h - -109. Calculate the remainder when o is divided by 17. 16 Suppose -4*y = 5*h + 4, 4*y - 4*h - 27 - 5 = 0. Suppose -y*p = -172 + 24. Suppose s + 0*s = 13. What is the remainder when p is divided by s? 11 Suppose 4*d - 34 = -3*z, 5*z + 9 + 1 = 0. Let m = 7 - -32. What is the remainder when m is divided by d? 9 Suppose -70*z - 4*j = -69*z - 95, -3*z + 293 = 4*j. What is the remainder when z is divided by 26? 21 Suppose 0*p = 5*p - 110. What is the remainder when p is divided by ((-8)/(-16))/(((-21)/(-36))/7)? 4 Let q = -118 - -123. Suppose -q*b - 25 = -60. Calculate the remainder when b is divided by 6. 1 Let u(a) be the second derivative of a**5/10 - a**4/4 + a**3/3 - a**2/2 + 9*a. Calculate the remainder when u(2) is divided by 5. 2 Let j = -7 + 10. Suppose -4*l - 4*d + 149 = 29, j*d = 2*l - 60. Calculate the remainder when l is divided by 8. 6 Suppose -79*b = -6*b - 12702. Calculate the remainder when b is divided by 13. 5 Let t(x) = -x + 70. What is the remainder when 189 is divided by t(21)? 42 Let m = -81 - -126. Let s(f) = f**2 - 3*f - 4. Calculate the remainder when m is divided by s(7). 21 Suppose x = -4*j - 0*x + 29, 2*j + x - 17 = 0. Let t(y) = -y**2 + 7*y + 28. What is the remainder when t(j) is divided by 13? 8 Let m = 2760 - 2722. Calculate the remainder when m is divided by 10. 8 Let c(x) = -x**2 - 11*x + 17. Let l(k) = -k**2 - 11*k + 18. Let d(b) = -5*c(b) + 4*l(b). What is the remainder when 89 is divided by d(-13)? 11 Let j = 13 + -3. What is the remainder when j is divided by (-87)/(-15) - 3/(-15)? 4 Suppose 21 = 5*l - 3*y, -4 - 2 = 3*y. Suppose 0 = -l*n + 13 + 14. What is the remainder when 17 is divided by n? 8 Let o = 252 - 186. Calculate the remainder when o is divided by 18. 12 Suppose 4*g - g = 66. Let r(a) = -3*a**3 - 3*a**2 + 1. Let v be r(-2). Let t(q) = q**3 - 13*q**2 + q - 7. What is the remainder when g is divided by t(v)? 4 Suppose -2*x - 16 = -6*x, -4*x = -2*b + 26. Calculate the remainder when 38 is divided by b. 17 Suppose -18*j + 15*j - 135 = 0. Let y = j + 65. Calculate the remainder when 78 is divided by y. 18 Let x = -60 + 76. Suppose -5*u + 2*k + 36 = -14, 0 = -u + 2*k + 10. Calculate the remainder when x is divided by u. 6 Let j = 34 - 14. Calculate the remainder when 53 is divided by j. 13 Suppose -5*p + 2*l + 662 = 0, -3*l + 69 + 77 = p. Calculate the remainder when p is divided by (-2)/((-24)/68)*3. 15 Let w = -178 + 408. Let v = -125 + w. What is the remainder when v is divided by 27? 24 Let q(x) = 3*x**2 - 10*x - 78. Let l(k) = k**2 - 3*k - 26. Let m(n) = 7*l(n) - 2*q(n). Calculate the remainder when 228 is divided by m(9). 44 Suppose 0 = -3*f + f - z + 40, 2*z - 44 = -2*f. Let w be (1 + 8)/(9/(-282)). What is the remainder when w/(-8) + (-5)/20 is divided by f? 17 Let r be ((-40)/(-50))/(2/75). Let m = r - 27. Calculate the remainder when 11 is divided by m. 2 Let o be (3/(30/5))/((-1)/(-26)). Suppose -2*b + s + o = 4*s, -b - s = -7. What is the remainder when 26 is divided by b? 2 Suppose -298 = -4*l + 5*o, -21 - 62 = -l - 3*o. What is the remainder when l is divided by 27 - (-3)/(1 + -4)? 25 Suppose v - 3*v = -168. Suppose 0 = -a - 9 + 11. Suppose 2*f + a*f = v. Calculate the remainder when 83 is divided by f. 20 Let g = -1 + 14. Let f(m) = -46*m**3 + m. Let j be f(-1). Let d = 6 + j. What is the remainder when d is divided by g? 12 What is the remainder when 100/(-175) + -486*5/(-14) is divided by 29? 28 Suppose 165 + 187 = 8*m. What is the remainder when 81 is divided by m? 37 Let p(l) = -l - 3. Let o be p(-6). What is the remainder when 125 is divided by (2 + 26/o)*3? 29 Suppose -4*n - 28 + 192 = 4*b, -b + n = -39. What is the remainder when 157 is divided by b? 37 Suppose 9*m - 284 - 67 = 0. What is the remainder when 154 is divided by m? 37 Let o(x) = 14*x**2 - 11*x + 19. Calculate the remainder when 329 is divided by o(3). 105 Suppose 10*u - 414 + 344 = 0. Calculate the remainder when u is divided by 5. 2 Let u be 858/(-5) - 51/(-85). Let p = u + 200. Calculate the remainder when p is divided by 11. 7 Suppose 8*i = 12*i + 32. What is the remainder when 47 is divided by (-96)/18*(-1 - (-22)/i)? 7 Suppose 3 = -5*o + 3*s + 4, 0 = 5*o - 5*s + 5. Let t = -363 - -365. What is the remainder when o is divided by t? 0 Suppose -3*k = k. Let m(g) = -g**3 - g**2 + g + 29. What is the remainder when m(k) is divided by 8? 5 Let t = -68 + 71. Suppose 0 = -t*f - 3*m + 54, 3*f - m - 17 = 17. What is the remainder when f is divided by 7? 6 Let f = 106 - 81. What is the remainder when (-9)/((-3)/16 - 0) is divided by f? 23 Let y be 3123/21 - ((-16)/14)/4. Suppose 9*s = 94 + y. Calculate the remainder when 79 is divided by s. 25 What is the remainder when 92 is divided by (-765)/(-50) - (-12)/(-40)? 2 Let b = 313 + 56. Calculate the remainder when b is divided by 22. 17 Suppose 0 = -m + 5*m + 2*r - 118, 0 = -5*m - 5*r + 150. Let z be -7 - (3 - 5) - -88. Suppose -g - 27 = -z. Calculate the remainder when g is divided by m. 27 Let l = -495 + 533. What is the remainder when l is divided by 7? 3 Let c = 74 - 37. Let h = c - 28. What is the remainder when 33 is divided by h? 6 Suppose -13 - 49 = -3*u - 2*p, 2*p = -2*u + 44. Suppose -5*x + 68 = u. Calculate the remainder when 14 is divided by x. 4 Let z(y) = 2*y + 23. Let v be -6*(-12)/45*5. Calculate the remainder when z(v) is divided by 21. 18 Let l be (4/(-10))/((-4)/20). Suppose l*p + 0*p = 6. Suppose -8 - 7 = -5*f. What is the remainder when f is divided by p? 0 Let v = 52 + -50. Suppose 2*y - 133 - 41 = 0. Suppose v*b - y = -b. Calculate the remainder when b is divided by 16. 13 What is the remainder when 106/10 - (-30)/75 is divided by 9? 2 Suppose 4 = 3*i + 2*i - 3*c, 10 = 5*c. Let a = 211 + -151. Suppose -2*j + 5*h = -j - 4, -i*j + a = 3*h. What is the remainder when 71 is divided by j? 23 Let s(b) = -779*b**2 + 3*b - 54 + 780*b**2 + 3*b. Let x(k) = -19*k**3 + k + 1. Calculate the remainder when s(7) is divided by x(-1). 18 Let u = 14 + -12. Suppose -u*l + 132 = 2*l. Let f(d) = d**3 + 6*d**2 - 2*d. What is the remainder when l is divided by f(-6)? 9 Suppose 3 = -2*q
{ "pile_set_name": "DM Mathematics" }
6. 886.171861 Total of -48694 and -0.037. -48694.037 -2179092515 - -0.3 -2179092514.7 Total of -0.07205 and -1.255. -1.32705 Calculate -21.529 - -1401528. 1401506.471 Add together 89405961 and -10. 89405951 What is the distance between -81.36 and 3348.5? 3429.86 Calculate 14.7 + 34362. 34376.7 What is 0.2 - 24479851? -24479850.8 Total of 0.3 and -5.38589738. -5.08589738 What is 782999751 plus 0.2? 782999751.2 Calculate -0.314 + 1495213.5. 1495213.186 What is the difference between 4183 and 34982? 30799 What is 37 plus -6964422? -6964385 Add together -94048120 and 12. -94048108 What is the difference between 632 and 27174.704? 26542.704 Calculate -0.2 + -4.13267. -4.33267 -697011+-1859 -698870 What is 0.025 + -15636143.6? -15636143.575 What is -15420.924 plus 21.9? -15399.024 What is the distance between 5917965364 and 1.8? 5917965362.2 What is -95101248 take away -39? -95101209 Work out -2.37046 - -0.018. -2.35246 What is 2 minus 27441497? -27441495 4.138 + 33268446 33268450.138 What is -0.6147635 + 25? 24.3852365 Put together 244 and -722569. -722325 Work out -2.70545 + 0.3712. -2.33425 Put together 0.21 and -1256828. -1256827.79 Calculate -0.48 + -200678.3. -200678.78 What is -49732 - 0.096007? -49732.096007 What is -1 minus 0.0472942565? -1.0472942565 Total of -25.944545 and 210. 184.055455 Put together 0.0395034 and 9.241. 9.2805034 -82 - -766.9677 684.9677 Calculate -2577467 - 215. -2577682 What is -1142.73 less than -1262? -119.27 Put together 0.5 and 3.748483641. 4.248483641 0.1 - 26714290766 -26714290765.9 What is 30.5 - -2540.543? 2571.043 What is the difference between -619.923 and -0.219? 619.704 Work out -40.4 - -1954967.4. 1954927 -32077410 - 0.02 -32077410.02 Put together 2 and 685873.014. 685875.014 -0.321 - 942854 -942854.321 Subtract -0.072698937 from 13. 13.072698937 -322568+0.4 -322567.6 What is the difference between -1.942601 and 0.7? 2.642601 Calculate 22075 + -65031. -42956 What is 199 take away 2.19916? 196.80084 Calculate -240888.05 + 0.03. -240888.02 Calculate 575 + 8784675. 8785250 Put together -1736012017.6 and 0.5. -1736012017.1 What is 2 minus -0.0175966806? 2.0175966806 Add together -72597152 and -0.3. -72597152.3 What is the distance between 0.0292 and -3183? 3183.0292 What is -247173070.3 - -2? -247173068.3 Subtract 216 from 2105086. 2104870 Work out 107 - 42343. -42236 Put together -18.22466 and 6.459. -11.76566 Put together 15658146 and -7. 15658139 Subtract 18655 from 0.554. -18654.446 Add -0.0861965 and 18802. 18801.9138035 What is 23385 minus -2.88571? 23387.88571 What is -0.06 less than 78389881.8? 78389881.86 Calculate -2 - 5267389. -5267391 Put together 112 and -4070777. -4070665 What is -0.4 + -38083162? -38083162.4 -672+-185699.2 -186371.2 What is the difference between -7092.9077 and -16? 7076.9077 Work out 18971054 + -1271. 18969783 Calculate -59630743 - 67. -59630810 Add 225 and 292088. 292313 Calculate 0 - -1.600670504. 1.600670504 Sum -0.036 and 9898052.14. 9898052.104 What is the distance between 1320953.63 and 3? 1320950.63 What is the distance between 483.87 and 0.403? 483.467 Put together 22 and -0.01073677. 21.98926323 What is -3597059 - -2? -3597057 What is 9700 plus 0.1185? 9700.1185 Add together -1.65 and 260047009. 260047007.35 Put together 766.8 and 326025. 326791.8 What is -0.05 - 5905898? -5905898.05 What is 8.7 + -1.26305? 7.43695 Total of 0.17405 and -0.017736. 0.156314 Work out 65.1 + 9539.6. 9604.7 Total of 0.0309 and -217.8474. -217.8165 Sum -4 and 975954852. 975954848 Work out 0.63556974 + 61. 61.63556974 5+2811769 2811774 Sum 109217 and -6. 109211 2.5 + -276828 -276825.5 What is the difference between -7517942 and 277? 7518219 What is 0.2 - 4809889? -4809888.8 Total of -2249866.45 and -5. -2249871.45 What is -52953541 minus -1.6? -52953539.4 What is -0.434 + 6223659? 6223658.566 Work out 99.3 + 68299812. 68299911.3 18104439 - -3.8 18104442.8 Work out -6803.3 - -17. -6786.3 323+46.70782 369.70782 11.088747+0.6 11.688747 What is 63961 + -1.5017? 63959.4983 Put together 1 and -1678.3837072. -1677.3837072 What is -151.241 plus 404? 252.759 Put together 0.1 and -31718019. -31718018.9 What is 4186.7 + -189.1752? 3997.5248 Subtract -0.8 from 1747954507. 1747954507.8 Calculate 443.3361 - 1031. -587.6639 Calculate 69 - 24880.4. -24811.4 Calculate 321 + 166621. 166942 Add 0.1 and 839.087334. 839.187334 What is the difference between 38413448 and -0.3? 38413448.3 Work out 2 + 1517271607. 1517271609 Sum 287 and -116043. -115756 Work out -0.3 + 1651837885. 1651837884.7 What is -0.3 less than 516080824? 516080824.3 Work out 531.869 + 32.78. 564.649 Total of -71892678696 and 0.2. -71892678695.8 Add together -1.2 and -279.880156. -281.080156 Add together 0.112 and 1.7001. 1.8121 What is 293.618074 plus -5? 288.618074 Calculate -10029 + 5.673. -10023.327 Sum 4689201 and 7. 4689208 Total of 6826 and -170868. -164042 Add -0.5 and 24287.7. 24287.2 Work out 178.1602 - -95. 273.1602 Work out -0.4 + 1157191.572. 1157191.172 Calculate 1 + 0.2124167. 1.2124167 What is 128919 take away 144? 128775 Work out -112550937 + 8. -112550929 Work out -0.4 - -603587511. 603587510.6 Subtract 0.14 from -498548122. -498548122.14 Work out -1.7273165 + -0.4. -2.1273165 What is 2964.2 - 15735? -12770.8 -5042 - 13794 -18836 Calculate -47 + 144633577. 144633530 -56005.875 + 118 -55887.875 What is 7 plus -4781.653? -4774.653 -137+-3.47 -140.47 Add 14092182 and 1.2. 14092183.2 Subtract 0.2892786 from -6.1. -6.3892786 Total of 3 and 8.35943. 11.35943 Subtract 0.8 from -19369177272. -19369177272.8 Work out -195256 - -15.7. -195240.3 3.51746 - 10 -6.48254 Calculate -7987 + 297837. 289850 Put together -3.53 and 840035. 840031.47 Add together -15 and 30062. 30047 What is -925.61 minus -1377? 451.39 Work out 194.9 + -12210. -12015.1 Add together 1082 and -339.5512. 742.4488 What is 22792325 + 1? 22792326 134161+58 134219 -0.62+-785.8014 -786.4214 Put together -11872 and -129963. -141835 Calculate 3 + 188193014. 188193017 What is -0.1465932 plus 0.098? -0.0485932 85 + -9964649 -9964564 -0.167 - -0.06874629 -0.09825371 Sum -62.23 and 411650. 411587.77 Calculate 0.031 + -5694107. -5694106.969 What is the distance between -0.8 and 3255.823? 3256.623 -2010+68.66 -1941.34 -2774625 - -0.1 -2774624.9 Calculate 382 + 4.291. 386.291 Work out 23852827.208 - 0.1. 23852827.108 Work out -11286775063 - -2. -11286775061 Subtract -56889.0369 from 0.05. 56889.0869 What is 22.318231 less than -63? -85.318231 Calculate -0.2 + -5993.776007. -5993.976007 Sum -96.4791 and -35. -131.4791 Put together -167.36449 and 4. -163.36449 What is the distance between 0.5 and 28679058? 28679057.5 643 - 0.44456 642.55544 Total of 184507 and -8403. 176104 Total of 22083 and -27263. -5180 What is -12 plus 875670300? 875670288 Subtract -24006854.3 from 110. 24006964.3 Put together -1005 and -201.13. -1206.13 Calculate -2729.2964 + 44. -2685.2964 Work out -56357 - 37.2372. -56394.2372 Subtract -926407844 from 0.58. 926407844.58 -0.6 - 13193.45153 -13194.05153 What is 86958911 less than 0.1? -86958910.9 Sum -0.06 and -18.8922502. -18.9522502 Put together 13.739 and -95. -81.261 Work out -62 + 263189. 263127 Calculate -0.553 - 11092852. -11092852.553 199713 + -41129 158584 184823 - 0.56962 184822.43038 What is -37.408 less than -0.058063? 37.349937 Total of 0.01571569 and -14.9. -14.88428431 Add together -166196155 and 4. -166196151 Subtract -0.44189 from -319. -318.55811 What is -187.8 minus -5476? 5288.2 1281423 + 46097 1327520 -978.78 - -8654 7675.22 647.410329 - 1.4 646.010329 Sum -0.1 and -1636897.799. -1636897.899 What is 416248011 less than -0.15? -416248011.15 What is the difference between -169.307 and 42.328? 211.635 Subtract -53.6 from -29124. -29070.4 Put together -6 and 3113558. 3113552 Put together -0.19 and -80984654. -80984654.19 Calculate 16164686.94 + 0.4. 16164687.34 What is 522732 minus 0.148? 522731.852 Put together 525 and 1.17862. 526.17862 What is 325469 minus -15211? 340680 What is the distance between 283 and -230344464? 230344747 What is -4 + 0.108913048? -3.891086952 What is 0.0528516 take away -8.5? 8.5528516 Calculate 2688 - 33129. -30441 Sum 913 and 119309. 120222 -18593750 - -0.09 -18593749.91 -5679122+-10370 -5689492 Add together -5
{ "pile_set_name": "DM Mathematics" }
-14, -5, -58? -14 Which is the nearest to 2/13? (a) -0.1 (b) 5 (c) 3 (d) -0.2 a Which is the nearest to -5? (a) 81 (b) 2 (c) -4 (d) -3 (e) 0.5 c What is the closest to -5 in -2/9, -2/11, 1/10, 0.124, -4? -4 Which is the closest to 0.1? (a) 77106 (b) 9 (c) -1/2 c Which is the nearest to 0? (a) -1/2 (b) -141 (c) -6/5 (d) -5 (e) 0.02 e What is the nearest to 0 in -416, 0, 102, -5? 0 Which is the closest to 0.04? (a) 0.2 (b) -2/11 (c) -2 (d) -629 a Which is the closest to -2817? (a) -23 (b) -1/7 (c) -4 a What is the nearest to -2/17 in -3, 0.5, -0.3, 0.2, -54? -0.3 What is the nearest to 2/5 in 0.4, -48, 6, -263? 0.4 What is the closest to 0.21 in 0, -0.07, -42, 2? 0 Which is the closest to -0.1? (a) -24 (b) 5 (c) 2/13 (d) -4/5 (e) 1/2 c What is the nearest to 0 in 8.3, -0.3, -4, 9/4? -0.3 Which is the nearest to 1? (a) 2 (b) 2/23 (c) -1/5 (d) -5 b Which is the closest to 76? (a) -5 (b) 88 (c) -2 (d) -3 b What is the closest to 104 in -0.38, -0.17, 0.3, 0.5? 0.5 What is the nearest to 2 in -0.6, -0.017765, -4? -0.017765 Which is the nearest to -0.2? (a) -0.12 (b) 5 (c) 0.038 a Which is the closest to 4? (a) -80 (b) 0 (c) 0.4 (d) -3/8 c Which is the nearest to -2? (a) 0.44 (b) 1/5 (c) 0.11 c Which is the closest to 13? (a) 2/29 (b) 4 (c) 0.6 (d) 0 b What is the closest to 1/3 in -16/375, -2, -0.3, 5/6? -16/375 What is the nearest to 47 in -0.4, -56/17, 3, 2/15? 3 Which is the closest to 3/5? (a) 7 (b) 0.2 (c) -5 b What is the nearest to 55.196 in -1/2, -0.01, 0.02? 0.02 Which is the nearest to -1/15? (a) -4 (b) -1 (c) -1/3 (d) -0.12 d Which is the closest to 2? (a) -7 (b) 0.1 (c) 1/139 (d) 2/11 d Which is the closest to -0.11? (a) 0 (b) -0.2 (c) -23 (d) 1/2 b Which is the closest to 8/7? (a) 0 (b) 3/2 (c) 0.4 (d) -74 b What is the nearest to -0.04 in -4/7, -1, 0.3, 2? 0.3 What is the nearest to 1/4 in 0.1, -2/171, 17, -2? 0.1 What is the nearest to -7 in 8, -2, -1/4, 0.06? -2 What is the nearest to 1/2 in -0.019, 66, -4? -0.019 Which is the nearest to -1? (a) 6 (b) 5 (c) -4 (d) 0.06 (e) -3/7 e What is the nearest to 1 in -2.5, -3/11, 0.0035? 0.0035 Which is the closest to -0.87? (a) 0.2 (b) 6/533 (c) -1/8 (d) 1 c What is the nearest to -2/7 in 2, 3, 2/5, -6081? 2/5 Which is the nearest to 0.2? (a) -1/2 (b) -1 (c) -1/5 (d) 5/8 c What is the closest to 4 in -4/5, 0, -903? 0 What is the nearest to -0.3 in 0.2, 37, 1/3, -2/3, 5? -2/3 What is the nearest to -0.1 in 1, 0.12, 0.4, -576.7? 0.12 Which is the nearest to -2/7? (a) 25 (b) -1/19 (c) 0.2 (d) -4 b What is the closest to 0.2 in 4/89, 5, 26? 4/89 What is the nearest to -0.4 in -2/17, -5, -141? -2/17 What is the nearest to -0.04 in -0.3, 6315, 0? 0 What is the closest to 0 in -1/24, 0.02, -13, -1? 0.02 Which is the nearest to -1? (a) -2/19 (b) -1/90 (c) 2 (d) -3/7 d Which is the closest to 1/4? (a) 4.5 (b) -9 (c) -17 (d) 2 (e) -2/7 e What is the closest to 15 in -0.3, 0.107, 3, 4? 4 What is the closest to -0.3 in 75.96, 2/9, 6, -5/3? 2/9 Which is the nearest to 0? (a) 0.02 (b) -0.3 (c) -1 (d) -0.14 (e) -2/5 a What is the nearest to -7 in 13, 0.3, 634? 0.3 Which is the nearest to 0.306? (a) -0.5 (b) -2 (c) -1.5 a What is the nearest to 0.1 in 0.9, 0.5, 25/2, -0.13? -0.13 Which is the closest to -3/88? (a) 40 (b) 5 (c) 1 c Which is the nearest to 12? (a) 0.7 (b) 0.41 (c) -0.1 (d) 4 d Which is the closest to 2/9? (a) -4 (b) 0.14 (c) 0.3 (d) -277 (e) 3 c Which is the nearest to -1? (a) 2 (b) -5 (c) 1/75 (d) -3 c What is the nearest to -0.45 in -1, 189, 65? -1 Which is the nearest to 0? (a) -6 (b) -33/2 (c) 0.04 c What is the closest to -4 in 0.1301, 4, -0.1, -2, 0.5? -2 Which is the nearest to 0? (a) -5 (b) 3/4 (c) 4 (d) 0.0722 d Which is the nearest to 0? (a) -72 (b) 0 (c) 143 (d) -1 b What is the closest to 0.64 in -7, 3, -4, -9? 3 What is the nearest to 5 in 2/11, 4, 0.4, -42, 4/7? 4 Which is the nearest to -0.8? (a) 0.2 (b) 48 (c) -2/15 (d) 1 c Which is the nearest to 91? (a) -6 (b) 19 (c) 0.3 b What is the closest to 0 in 0.1, -9/47, 4, 1/4? 0.1 Which is the closest to 0.1? (a) 2 (b) 8/49 (c) 390 (d) 2/15 d Which is the nearest to 34.3? (a) -12 (b) 2 (c) -3/5 (d) -1 b Which is the nearest to 2? (a) 0 (b) -107 (c) -14 (d) 1/4 (e) -1 d Which is the nearest to 0.1? (a) 0.6 (b) 0.4 (c) -62.3 (d) 2 (e) 2/3 b What is the nearest to -0.2 in 0.5, 5, 18, -2/17, 23? -2/17 Which is the closest to -4? (a) 132.3 (b) -3/8 (c) 3 b What is the closest to 0.2 in -11, -0.15, 53? -0.15 Which is the closest to -1? (a) -103/4 (b) 0.4 (c) -49 (d) 1/6 d What is the nearest to -0.7 in -43/4, -29, -3, -4? -3 What is the nearest to 0.01 in -11, 3, 6, -0.1? -0.1 Which is the nearest to 0? (a) 4/13 (b) 5 (c) 249 a What is the closest to -0.03 in -2/177, -1/13, 0.25? -2/177 What is the nearest to -1 in 0.61, -3, 0.3, 3/4? 0.3 Which is the closest to -4? (a) -0.7 (b) 43 (c) 0.13 a Which is the nearest to -274/21? (a) 8 (b) 5 (c) 7 b What is the nearest to 3/2 in 0.2, -3/4, 0.5, -0.4, -588? 0.5 Which is the closest to 2/3? (a) -0.01 (b) -16 (c) -1/2 (d) -0.07 a Which is the nearest to -1/4? (a) -0.5 (b) -1 (c) 7105 (d) 33 (e) -3 a What is the nearest to -1 in -90, 2/5, 5, -4? 2/5 What is the closest to 0.1 in 119, 184, -0.3? -0.3 Which is the nearest to -1? (a) 3 (b) -37 (c) 2 (d) 0.02 d Which is the nearest to -12? (a) -10 (b) 7 (c) 0.5 a Which is the nearest to 1? (a) 3 (b) -5/2 (c) 0.5 (d) 0 (e) -11/13 c Which is the nearest to 21/8? (a) -4 (b) -6 (c) -32 a Which is the nearest to -9/4? (a) -0.43 (b) -2 (c) 5 (d) -30 (e) -0.1 b Which is the closest to 223? (a) 5 (b) -0.2 (c) 57 c Which is the nearest to 2/3? (a) -0.4 (b) -21.9 (c) -61 a Which is the closest to 2? (a) 1163 (b) 9/4 (c) -0.2 b What is the closest to -0.4 in -2509, -4, -5? -4 What is the nearest to 2/3 in 47, -2/13, 11, -0.4? -2/13 Which is the nearest to 0.02? (a) 0 (b) 1/2 (c) -0.1 (d) -19 (e) 115 a Which is the closest to -17? (a) -5 (b) -0.4 (c) 0.2 (d) -8 (e) -0.2 d Which is the closest to -1? (a) 34 (b) -12 (c) -4 (d) -0.4 (e) 18 d What is the closest to -18363 in -3/8, -5, 4? -5 What is the nearest to 2 in -4/353, 1/4, 0.03? 1/4 What is the nearest to -0.54 in 3/19, 3, -1? -1 What is the nearest to -1 in 17, 114, 4, 0.3? 0.3 Which is the closest to -1/4? (a) 0.4 (b) 10/11 (c) -1/4 (d) -4/9 c Which is the closest to 2/5? (a) -3/32 (b) -0.1 (c) -44 (d) -3 a Which is the closest to 0.17367? (a) 0.5 (b) -4 (c) 4/5 (d) -0.4 a Which is the closest to -1/3? (a) 673 (b) 9 (c) -1/8 (d) -1/2 d What is the nearest to -5 in 0.02, 2/5, 2/9, 2, -0.7? -0.7 What is the closest to 1 in 3, 0.96, -103/17? 0.96 Which is the nearest to 12? (a) -57 (b) -0.3 (c) 2.5 c What is the closest to 102 in 2.9, 3, 4? 4 Which is the closest to 15? (a) 26 (b) -2/81 (c) -0.3 a What is the nearest to -2/7 in 5892, -5, -2/11? -2/11 Which is the closest to 0.0281? (a) 0.4 (b) 1/3 (c) 5 b Which is the closest to -0.21? (a) 2 (b) -0.751 (c) 2/3 b What is the nearest to 2/9 in 5, -0.08, 2/81, -1/2, -5? 2/81 What is the closest to -5.63 in 3, -2/21, -1? -1 What is the closest to 2 in 0.5, -19/5, -0.4, -4.2? 0.5 What is the nearest to -2/7 in 73.9, -1, -3, 2/15? 2/15 What is the nearest to -66 in 32, 5, -0.2? -0.2 What is the nearest to -1 in -9/8, -2/3, -3, -11, -2/11? -9/8 What is the nearest to 2/3 in -12, 211, 1/3, 0.5? 0.5 Which is the closest to -0.1? (a) 1/6 (b) -5 (c) -139 a Which is the nearest to 0? (a) -0.02 (b) 10 (c) -9 a Which is the closest to -4/129? (a) 3/5 (b) -0.5 (c) 1 (d) -1 (e) 0.1 e What is the nearest to -3 in -1/92, -6, -469? -1/92 What is the closest to -0.2 in 2/13, -0.1, 0.22? -0.1 Which is the nearest to -2/383? (a) 5 (b) 2 (c) -1/2 (d) 1/12 d Which is the closest to 1/3? (a) 1 (b) -0.09 (c) -2.03 b What is the closest to 0.1 in -38, 0.3, 4, 28, -2? 0.3 What is the nearest to 4 in -1/2, 6.5, -0.3, -2? 6.5 Which is the nearest to 247? (a) -1 (b) -4 (c) 0 (d) 10 d What is the nearest to 0.1 in -8, 0.4, 66, -1.5? 0.4 What is the nearest to -4 in -1/93, 0.03, 0, -0.1? -0.1 Which is the closest to -
{ "pile_set_name": "DM Mathematics" }
+ 175*f + 1437. Determine a(-28). 7 Let u(q) = -q**3 + 7*q**2 - 15*q + 9. Let j be 2 - (-6 + (2/14 - 675/(-175))). What is u(j)? -3 Let a(f) = -f + 2. Let z(l) = -2*l - 21 - 7 + 8. Let o be z(-11). Suppose 5*m = -5*d, 3*m + 3*d = o*m + 6. What is a(m)? 5 Let h(y) = 10*y**2 - 18*y**2 - 11*y**3 - 4 - 6*y + 3*y**2 + 7*y**2 - 5*y**2. Calculate h(-1). 10 Suppose 0 = -p - 27 + 31. Let f(z) = 23*z + p - z**3 - z - 10*z - 5*z**2 - 5*z. Let w = -2 + -4. Determine f(w). -2 Let l(r) = r**3 - 4*r**2 - 2*r - 3. Let h be 3*(2 + (-64)/24). Let s be (-1 - 25/15)*3/h. What is l(s)? -11 Suppose 3*j + j = 20. Suppose m + 2 = -3*l + 1, -l = -j*m + 11. Suppose 4*h - 4 + 5 = -5*x, 5*x = -m*h - 3. Let u(r) = 7*r**2 + 1. Give u(h). 8 Let n(k) = 2*k**2 + 12*k - 27. Let t be (20 + -17)*((-28)/12 + 3). Calculate n(t). 5 Let i be 320/(-24)*(30/(-24) + 5/10). Let t(x) = -2*x - 21. What is t(i)? -41 Let v(u) be the first derivative of -u**3/3 - 3*u**2 - 7*u - 2. Suppose 5*h - 1245 + 1235 = 0. Suppose -4*x - 5*r - 43 = -h*r, 4*x + 3 = 5*r. Give v(x). -14 Let z = 162268/97359 + -1/32453. Let q(d) be the first derivative of 34 - 4*d + d**2 + z*d**3 - 1/4*d**4. Determine q(5). 6 Let a(m) = -2*m**2 + 21*m - 5. Let l(p) = -3*p**2 + 41*p - 11. Let v(k) = -5*a(k) + 3*l(k). Let c be v(-9). Let t = -88 - c. Let y(u) = 4*u - 1. Determine y(t). 3 Suppose g = 2*h + 3, 4*h + 33 = -2*g + 7. Let y(b) be the second derivative of 1/3*b**3 - 3*b**2 + 0 + 1/12*b**4 - 5*b. What is y(g)? 9 Let m(s) be the second derivative of -26 + s + 1/2*s**2 + 5/3*s**3. Suppose 3*f = -0*g - g - 7, -2 = -f + 4*g. Determine m(f). -19 Let v(t) = -t**3 + 9*t**2 + t - 2. Let m(s) = -4*s - s - s + 37 + 4*s. Let r be m(14). What is v(r)? 7 Let q = 72 - 69. Suppose -15 = q*h - 42. Let a(i) = -i**3 + 8*i**2 + 11*i - 7. What is a(h)? 11 Let v(x) = -x**3 - 11*x**2 - 6*x + 10. Let j(s) = -5 - 92*s + 93*s + s**2 + 0 + 1 + 3. Let c(i) = -5*j(i) - v(i). What is c(-6)? -11 Let z(t) = t + 7. Let o be z(-5). Let l(c) = -6 - o*c + 4 - 8. Let v be ((-16)/22)/(21756/(-462) - -47). Determine l(v). -26 Let f(z) be the first derivative of -z**3/3 + 2*z**2 - 2*z - 5859. Let h be (-2 + 0)*(-9)/6. Determine f(h). 1 Let q(o) = o**3 - 5*o**2 + 3*o. Let m be 28/7 - ((-28)/2 - -2). Suppose -m*j + 10 = -22. Determine q(j). -6 Let x(i) be the third derivative of 0*i + 1/3*i**3 + 0 - 1/60*i**5 + 0*i**4 + 94*i**2. Determine x(2). -2 Let u(w) = 3*w**2 + 2*w - 1. Suppose 6*b - 9*b = 5*r - 28, -b - 3*r + 16 = 0. Let m be 11/(33/(-5)) - b/3. Calculate u(m). 7 Let l(g) = 48*g**2 + 12*g**3 - 19*g**2 + 2*g - 1 - 11*g**2 + 2 - 16*g**2. Determine l(-1). -11 Let v(t) = -t**2 + 16. Let m be v(4). Suppose m = -3*p - 0*p + 18. Let j(w) = w - 2. What is j(p)? 4 Let t(h) = h**2 + 4*h + 1. Let y(n) = -n + 11. Let r be y(8). Suppose 0*d = 2*d - 2, r*o - d = 5. Suppose -3*m - 9 = o*p, 0 = 5*p - 9*m + 4*m + 10. Give t(p). -2 Let f(d) = 19*d**2 - 12*d + 8. Let w(h) = -2*h**2 - h + 2. Let r(l) = -f(l) - 9*w(l). Give r(20). -6 Let x(g) = -g**3 + 8*g**2 - 11*g - 3. Let o(q) = q**2 + 2*q + 6. Let m = 659 + -659. Let p be o(m). Give x(p). 3 Let s(j) be the first derivative of 2*j**2 - 3*j - 2. Let f(u) = -5*u + 52. Let t be f(6). Let h be ((-8)/t)/(22/(-121)). Determine s(h). 5 Let j = 14 - 7. Let m(t) = 11*t + 21. Let o(d) = 31*d + 54. Let z(w) = -11*m(w) + 4*o(w). Calculate z(j). 6 Let t(o) = o**2 - 18*o - 3. Let g be t(18). Let c(z) = 1 + 3*z**2 + z**3 - 86*z + 86*z + 0*z**3. What is c(g)? 1 Let t(i) = -i**2 - 25*i + 387. Let y be t(-36). Suppose -2*g + 35 - 15 = 0. Let a(h) = 4 - h**3 + 3 - g*h**2 - 9*h - 6. Calculate a(y). 1 Let p(d) be the second derivative of -d**3/3 - 14*d**2 - 16*d - 44. Determine p(-10). -8 Let y(a) be the third derivative of a**5/60 + a**4/3 + 49*a**3/6 - 5*a**2 + 2*a - 23. Determine y(0). 49 Let y(v) = 2*v**2 - 3*v - 4. Let t = -6410 - -6412. Determine y(t). -2 Suppose 0 = -9*s + 18. Let t(p) = 1508*p**2 + 3 - s*p - 1 + 3*p - 1509*p**2. Calculate t(4). -10 Let s(w) = -7*w - w - w - 2 + w + 15*w - 8*w. Suppose -4*l + 2*l + 4 = 0, 4*r + 3*l - 26 = 0. Calculate s(r). -7 Let i(f) be the second derivative of -1/12*f**4 + 1/6*f**3 + 0*f**2 - 3/10*f**5 - 7*f + 4. Calculate i(1). -6 Let y be (1/(-1))/(2 - (-11)/(-5)). Suppose -6*l = -y*l. Let z(a) = -a**2 + a + 3. Give z(l). 3 Let z(u) be the first derivative of 3 + 11*u + 0*u**2 - 10/3*u**3. Let g(v) be the first derivative of z(v). Determine g(1). -20 Let q(n) = 4*n + 45. Suppose 297*m - 253*m + 396 = 0. Determine q(m). 9 Let p = -25 - -30. Suppose -p*g - 264 = -4*y, 0*g + 2*g + 198 = 3*y. Let h(s) = 32*s - y*s + 37*s + 4. What is h(-3)? -5 Let b(s) = -s**3 + 9*s**2 + 8*s - 64. Let v be b(9). Let y(i) = -2*i + 3*i - 5*i**2 + 0*i + v - 7. Calculate y(1). -3 Let r(d) = 3*d - 17. Suppose 3*m + 4*k = 752, 0 = -3*m + 2*k + 288 + 470. Suppose -13*q + 34*q - m = 0. What is r(q)? 19 Let p(j) be the third derivative of 0*j**3 - j**2 + 0*j - 1/24*j**4 + 0. Let o = 2116 + -2118. What is p(o)? 2 Let l(q) = q - 4. Let m = -714 + 716. Let c be 51*2/18*3. Suppose 0 = 4*f - n - m*n - c, 3*f - 2*n = 13. What is l(f)? 1 Let u(p) = -2*p - 1. Suppose 8*h - 4 = 6*h. Suppose -b = 3 + h, -3*x + 5*b = -43. Determine u(x). -13 Let m(c) = -c**2 + 2*c + 1. Suppose 0 = -3*n + 12, -6 = 5*v + n + 5. Let z(w) = 4*w**2 - 4*w - 4. Let l(q) = v*m(q) - z(q). Give l(-4). -7 Let a(z) be the third derivative of -11*z**4/24 - 7*z**3/2 + 2048*z**2. Calculate a(-3). 12 Let g(f) be the third derivative of f**6/120 - f**5/5 + 3*f**3/2 - 3*f**2 + 41. What is g(12)? 9 Let r(a) = a**2 - 19*a - 129. Let j(o) = o**3 + 30*o**2 + 47*o - 258. Let z be j(-28). Calculate r(z). 21 Let y be (-5)/(-2)*9/(-30)*-4. Let p be -41*((-2)/5 + y/(-5)). Suppose -p = -4*j - 29. Let l(a) = 2*a - 2. Calculate l(j). 4 Let x(h) = -h**2 - 14. Let y be 5*10/(100/6). Let r be -12 + 5 + 10 - y. What is x(r)? -14 Let q = -53 - -53. Suppose -g + f - 59 = q, 5*f + 2 = 3*g + 189. Let p = g + 47. Let b(m) = m + 5. Give b(p). -2 Suppose 83*y = 82*y - 2*m, 0 = y + m. Let j(i) = -i + 11. Determine j(y). 11 Suppose -26*a - 72 = -27*a. Let x(b) = 144 + b - 65 - b**3 - a. Give x(0). 7 Suppose 10 = 2*w - n, 3*w = 3*n + 6 + 15. Suppose 0 = -3*x + 15 - 6. Let c(m) = w - 9*m**3 + 7*m**2 + 19*m**x + 2 - 9*m**3 + 6*m. Determine c(-6). 5 Let m(t) = 92611 - t**2 - 92594 + 84*t - 90*t. Determine m(-11). -38 Suppose -3*z - 3 = -3*l, 61*l - 4*z = 64*l - 31. Let i(f) be the third derivative of f**4/12 + 5*f**3/6 + 151*f**2. Give i(l). 15 Let y(f) = -f + 12. Let t be (-6 + 8)/(-1 + 3/5). Let p = t + 12. What is y(p)? 5 Let c = 1808 - 1814. Suppose 5*w = 2*w + 12. Let q(o) = -2 + 4 - w - 3*o. Calculate q(c). 16 Let w = 232 + -230. Let z(q) = 7 + 4*q**w + 9*q - 3*q**2 + 2*q + q**2. Give z(-5). 2 Let t = 2 - -5. Let y be (-16)/104 - (0 + 513/(-39)). Suppose u = -y + t. Let p(j) = -j**2 - 5*j + 8. What is p(u)? 2 Let l = 9 - 15. Let q(k) = k**3 + 6*k**2 + 5*k + 63. Let c(v) = 2*v + 20. Let f(r) = 3*c(r) - q(r). Determine f(l). -9 Let f(u) = u**3 + 17*u**2 + 56*u + 14. Suppose 408*p - 406*p + 2*v + 30 = 0, -33 = 2*p + 3*v. Determine f(p). 62 Let v(b) = -b**3 + 5*b**2 + 4*b - 1. Let q be 1/2*1/((-1)/(-10)). Suppose -4*g + 21 + 15 = -5*i, q*i + 16 = -g. What is v(g)? 31 Suppose 4*j = -4*w - 228, j - 3*j - w - 113 = 0. Let s = -50 - j. Let g(u) = u**3 - 7*u**2 + 5*u + 2. Determine g(s). -4 Let z(d) = -2*d**3 - 11*d**2 + 5*d - 10. Suppose -3*p - 1 = -3*x - 10, 0 = 2*x - 5*p - 6. Calculate z(x). 102 Let s(t) = t**3 + t**2 - 14*t + 7. Let b be s(3). Let o(l) = b + 6 - 2 + l - 4 + l. Determine o(-3). -5 Let p(f) be the first derivative of -27 - 4*f - f**2 + 1/3*f**3. Suppose -2*z - 5*j = -26, -2*z - 4*j + 12 + 10 = 0. What is p(z)? -1 Let i = -3074 + 3083. Let c(p) = p**3 - 9*p**2 + 4*p + 3. Calculate c(i). 39 Let c(l) = -23*l**3 + 60*l**2 - 13*l - 97. Let u(o) = 5*o**3 - 15*o**2 + 3*o + 24. Let v(n) = -2*c(n) - 9*u(n). What is v(-15)? -7 Suppose b - 4 - 8 = 0. Let j(m) be the second derivative of m**5/20 - 11*m**4/12 - 11*m**3/6 + 2*m**2 + 8240*m. Give j(b). 16 Let g(s) = s**3 - 5*s**2 + 5*s - 3. Let p be (-3 - 14/(-6))*(22 - -2). Let y be 246/9 - (-2 - p/12). Suppose -25*j + 18*j + y = 0. Give g(j). 1 Let f be 713/(-161) - 9/(-21). Let x(k) = 11*k + 6. Give x(f). -38 Let o be (-6)/(-93) - (-424
{ "pile_set_name": "DM Mathematics" }
late the remainder when 102864 is divided by 38. 36 What is the remainder when 7584 is divided by 1083? 3 What is the remainder when 33435 is divided by 138? 39 What is the remainder when 8834811 is divided by 93? 90 What is the remainder when 16953 is divided by 29? 17 What is the remainder when 58515 is divided by 90? 15 Calculate the remainder when 36382 is divided by 21. 10 What is the remainder when 27797 is divided by 2312? 53 What is the remainder when 40100 is divided by 56? 4 Calculate the remainder when 26987 is divided by 1799. 2 What is the remainder when 54240 is divided by 402? 372 Calculate the remainder when 196748 is divided by 66. 2 What is the remainder when 240 is divided by 107? 26 Calculate the remainder when 4190 is divided by 233. 229 What is the remainder when 653021 is divided by 4186? 5 Calculate the remainder when 8409 is divided by 50. 9 Calculate the remainder when 3770 is divided by 79. 57 Calculate the remainder when 240020 is divided by 119. 116 Calculate the remainder when 25781 is divided by 25780. 1 Calculate the remainder when 3547 is divided by 235. 22 What is the remainder when 24649 is divided by 4090? 109 What is the remainder when 27873 is divided by 9222? 207 What is the remainder when 128932 is divided by 568? 564 What is the remainder when 365 is divided by 241? 124 Calculate the remainder when 59226 is divided by 1849. 58 Calculate the remainder when 98829 is divided by 49408. 13 What is the remainder when 100876 is divided by 33492? 400 Calculate the remainder when 13225 is divided by 71. 19 What is the remainder when 52009 is divided by 473? 452 Calculate the remainder when 14687 is divided by 12. 11 What is the remainder when 1101 is divided by 275? 1 What is the remainder when 8737 is divided by 107? 70 Calculate the remainder when 650583 is divided by 54215. 3 What is the remainder when 17217 is divided by 46? 13 What is the remainder when 6612 is divided by 3254? 104 Calculate the remainder when 879 is divided by 148. 139 Calculate the remainder when 2871 is divided by 477. 9 Calculate the remainder when 562347 is divided by 427. 415 What is the remainder when 7049 is divided by 835? 369 Calculate the remainder when 3909 is divided by 204. 33 Calculate the remainder when 2273637 is divided by 10. 7 What is the remainder when 1029247 is divided by 47? 41 What is the remainder when 9781 is divided by 32? 21 Calculate the remainder when 197 is divided by 153. 44 What is the remainder when 5050 is divided by 47? 21 Calculate the remainder when 2870 is divided by 12. 2 Calculate the remainder when 1458 is divided by 76. 14 Calculate the remainder when 1511570 is divided by 68. 66 Calculate the remainder when 15273 is divided by 204. 177 What is the remainder when 2144 is divided by 443? 372 What is the remainder when 235301 is divided by 102? 89 What is the remainder when 275632 is divided by 68903? 20 What is the remainder when 23913 is divided by 1964? 345 Calculate the remainder when 952 is divided by 415. 122 What is the remainder when 5004 is divided by 582? 348 Calculate the remainder when 1706083 is divided by 17. 14 Calculate the remainder when 2299917 is divided by 105. 102 What is the remainder when 7991 is divided by 80? 71 What is the remainder when 4558 is divided by 1851? 856 What is the remainder when 4521 is divided by 265? 16 Calculate the remainder when 578 is divided by 54. 38 What is the remainder when 194413 is divided by 58? 55 What is the remainder when 48293 is divided by 1069? 188 What is the remainder when 314 is divided by 122? 70 What is the remainder when 33035 is divided by 320? 75 What is the remainder when 179384 is divided by 132? 128 What is the remainder when 53699 is divided by 274? 269 Calculate the remainder when 171274 is divided by 10. 4 What is the remainder when 9395 is divided by 336? 323 Calculate the remainder when 3619 is divided by 3419. 200 Calculate the remainder when 63136 is divided by 308. 304 What is the remainder when 572 is divided by 85? 62 Calculate the remainder when 69686 is divided by 410. 396 Calculate the remainder when 2266 is divided by 18. 16 What is the remainder when 158255 is divided by 28? 27 Calculate the remainder when 80765 is divided by 40381. 3 What is the remainder when 783 is divided by 16? 15 What is the remainder when 2333 is divided by 481? 409 Calculate the remainder when 1847038 is divided by 39. 37 What is the remainder when 43734 is divided by 61? 58 Calculate the remainder when 420 is divided by 282. 138 What is the remainder when 18898 is divided by 209? 88 Calculate the remainder when 300246 is divided by 24. 6 What is the remainder when 1933031 is divided by 538? 535 Calculate the remainder when 28276 is divided by 22. 6 Calculate the remainder when 208429 is divided by 2. 1 Calculate the remainder when 164862 is divided by 435. 432 Calculate the remainder when 61310 is divided by 10. 0 What is the remainder when 28310 is divided by 120? 110 What is the remainder when 14330 is divided by 111? 11 What is the remainder when 3956 is divided by 72? 68 What is the remainder when 184994 is divided by 151? 19 What is the remainder when 772 is divided by 12? 4 Calculate the remainder when 255517 is divided by 24. 13 What is the remainder when 14208 is divided by 4721? 45 Calculate the remainder when 1443553 is divided by 1153. 1150 Calculate the remainder when 8509 is divided by 21. 4 What is the remainder when 2107 is divided by 1036? 35 Calculate the remainder when 5133 is divided by 2556. 21 Calculate the remainder when 3523 is divided by 3495. 28 Calculate the remainder when 67837 is divided by 132. 121 What is the remainder when 29180 is divided by 34? 8 What is the remainder when 453304 is divided by 903? 901 Calculate the remainder when 67930 is divided by 1132. 10 What is the remainder when 50758 is divided by 16892? 82 What is the remainder when 3670 is divided by 209? 117 What is the remainder when 811 is divided by 266? 13 What is the remainder when 6583 is divided by 412? 403 Calculate the remainder when 24369 is divided by 78. 33 Calculate the remainder when 113971 is divided by 247. 104 Calculate the remainder when 122181 is divided by 55. 26 Calculate the remainder when 13641 is divided by 2725. 16 What is the remainder when 8771 is divided by 57? 50 What is the remainder when 827 is divided by 69? 68 What is the remainder when 40087 is divided by 156? 151 What is the remainder when 723384 is divided by 65760? 24 What is the remainder when 431095 is divided by 94? 11 What is the remainder when 2317 is divided by 232? 229 What is the remainder when 9577 is divided by 80? 57 What is the remainder when 2880 is divided by 1329? 222 What is the remainder when 13683 is divided by 4276? 855 Calculate the remainder when 115870 is divided by 229. 225 What is the remainder when 68532 is divided by 252? 240 Calculate the remainder when 10399 is divided by 1199. 807 Calculate the remainder when 10905 is divided by 1209. 24 What is the remainder when 56735 is divided by 4048? 63 What is the remainder when 10177 is divided by 13? 11 What is the remainder when 28028 is divided by 4001? 21 Calculate the remainder when 24996 is divided by 472. 452 What is the remainder when 381441 is divided by 84? 81 Calculate the remainder when 439838 is divided by 219911. 16 Calculate the remainder when 12476 is divided by 457. 137 Calculate the remainder when 1533649 is divided by 50. 49 Calculate the remainder when 17903 is divided by 5872. 287 Calculate the remainder when 47935 is divided by 510. 505 What is the remainder when 113607 is divided by 28388? 55 Calculate the remainder when 22071 is divided by 26. 23 Calculate the remainder when 51209 is divided by 388. 381 What is the remainder when 1281 is divided by 340? 261 Calculate the remainder when 25314 is divided by 4218. 6 Calculate the remainder when 12772 is divided by 142. 134 What is the remainder when 154111 is divided by 47? 45 Calculate the remainder when 15725 is divided by 1138. 931 What is the remainder when 10834 is divided by 55? 54 What is the remainder when 9276 is divided by 381? 132 What is the remainder when 2149 is divided by 307? 0 What is the remainder
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common divisor of x and 26. 26 Let j(u) be the first derivative of -u**2/2 + 25*u + 1. Let g be j(11). What is the highest common divisor of 21 and g? 7 Let j = -6 - -38. Let r = 46 - j. Let g = r - 5. Calculate the greatest common divisor of g and 45. 9 Let h(r) = 3*r**2 - r - 3. Let k be h(2). What is the greatest common divisor of k and 35? 7 Suppose 3*f + g - 289 = 0, -2*g + 33 = -4*f + 435. What is the greatest common factor of f and 14? 14 Let l(a) = -4*a + 5. Let r(c) = 15*c - 19. Let w(n) = -22*l(n) - 6*r(n). Let k be w(-3). Let h = -133 + 183. Calculate the greatest common divisor of h and k. 10 Suppose -5*t + 4*t = -56. Suppose -w - 2*n + 12 = 0, 0*w - 3*w - 2*n + 28 = 0. What is the highest common factor of t and w? 8 Let q be 16 + 1 - -1*(1 + -3). Calculate the highest common factor of q and 20. 5 Suppose 20*r - 2430 = 14*r. Let t be 2/(-7) + (-4)/(-14). Suppose 0*p - 5*p + r = t. What is the greatest common factor of 9 and p? 9 Let v(g) = g**2 - 14*g + 26. Let r be v(12). What is the greatest common factor of 5 and r? 1 Let z be -3*(8/(-3) + 1). Let f(q) = -q**3 + q**2 + q + 45. Let b be f(0). Calculate the highest common divisor of z and b. 5 Suppose 3*p + 3*l = 102, 2*p - 4*l - 63 = -1. Let s(z) = -z**2 + 7*z - 3. Let c be s(6). Calculate the greatest common factor of p and c. 3 Let p = 1 - 3. Let n be (p/6)/(4/(-156)). Calculate the greatest common divisor of n and 104. 13 Let r = 10 + -8. Suppose y + 2 = -5*t + 21, 2*y + 3*t = 17. Let z be (-14)/(-8) + 1/y. What is the highest common divisor of z and r? 2 Suppose -5*t + 252 = -2*t. Let y be (-4)/(-10) - t/(-15). Suppose -n = -y*n + 280. Calculate the greatest common factor of 14 and n. 14 Suppose 0*z - 74 = -2*o + 3*z, 5*o - z = 198. Calculate the highest common factor of 40 and o. 40 Suppose -10*o + 9*o = -7. What is the greatest common factor of o and 35? 7 Let y(d) = -35*d - 3. Let g(s) = -69*s - 6. Let z(p) = 4*g(p) - 7*y(p). Let v be z(-3). Calculate the highest common divisor of v and 10. 10 Let y(q) = 6*q + 8. Let v be y(-6). Let w be ((-1)/4)/(1/v). Suppose -14 = -o + 14. What is the greatest common divisor of o and w? 7 Let y be (-3 + 8)*(0 + 1). Let h = y + -3. Suppose -4*w + 2 = -h. What is the highest common divisor of 1 and w? 1 Let v(s) = 3*s**2 + 2*s - 19. Let c be v(3). Calculate the greatest common divisor of 140 and c. 14 Let n = 98 - 2. What is the greatest common divisor of n and 24? 24 Let o(k) = k + 8. Let x be o(0). Suppose -2*w = -11 + 59. Let c = -16 - w. Calculate the highest common divisor of x and c. 8 Suppose 5*x = -5*n + 570, 0*x + 2*x = -n + 224. Calculate the greatest common divisor of x and 44. 22 Suppose 4*i + 141 = v, 0 = 3*v + 4*i - 174 - 297. Suppose -4*n = 31 - 99. What is the greatest common divisor of v and n? 17 Let w = -1 - -7. Let z = 8 - 2. What is the greatest common divisor of w and z? 6 Suppose -103*z = -108*z + 845. What is the highest common divisor of z and 13? 13 Let r(m) = -m + 24. Let w be r(0). Let b = -10 + 70. What is the highest common factor of w and b? 12 Let s = -1 + 1. Suppose -4*h + s = -2*z + 8, h = 5*z - 20. Suppose -307 = -5*m + 2*q, 5*m + z*q - 425 = -94. What is the highest common divisor of m and 7? 7 Let b be 1 + -4 - (2 - 5). Let o(d) = -d**2 + 28. Let k be o(b). Calculate the greatest common factor of 28 and k. 28 Suppose 0 = g + 3*s - 13, 3*g = 7*g + 2*s - 22. What is the greatest common factor of 8 and g? 4 Let y(m) be the third derivative of m**5/20 + m**4/8 + 2*m**3/3 + 7*m**2. Let l = 15 + -9. Let f be y(l). What is the greatest common divisor of f and 52? 26 Let j be 2*(8/(-28) + (-319)/(-14)). Let q be (0 - (2 + -1))*-5. What is the highest common divisor of j and q? 5 Suppose -3*w + 43 = i, -3*w + 2*i + 21 = -37. What is the highest common divisor of w and 24? 8 Suppose 0 = 2*y - 6*y + 12. Let b(x) = 19*x - y*x - x. Let s be b(2). Calculate the greatest common factor of 12 and s. 6 Let l be 1 + 1 + 1 - 2. Let o = 7 + -4. Suppose -4*u = -0*u - 2*j - 10, -4*u + o*j + 9 = 0. What is the highest common factor of u and l? 1 Suppose 4*o = 4*c + 68, c - 6 = -3. Calculate the greatest common factor of o and 20. 20 Let r = 18 + 2. Let v be 2/(24/(-15) + 2). Suppose 0 = v*k - 14 + 4. Calculate the highest common divisor of k and r. 2 Let j(g) = 5*g - 2. Let z be j(4). Let w = -59 - -257. What is the greatest common factor of z and w? 18 Let l be 1/2*1*-12. Let c be ((-16)/l - 0)*-3. Let n = c - -12. What is the highest common factor of 12 and n? 4 Suppose -2*v - 18 = -0*v. Let r be ((-6)/5)/(v/30). Suppose 14 = 5*l + r. Calculate the greatest common divisor of 6 and l. 2 Let a = 6605 + -1831. Let t be a/99 - 2/9. Let v = 35 + -23. What is the greatest common divisor of v and t? 12 Let m(f) = -10*f + 9. Let c be m(-3). Suppose 3*g + 12 = c. What is the greatest common factor of 54 and g? 9 Suppose 4*l - 8 = 0, 4*l + 0*l = 2*p - 64. Let q = -52 - -142. What is the greatest common factor of q and p? 18 Let w be 10/((-3)/(9/(-6))). Let y = w - 1. Suppose -4*n - y*s = 8, -5*n + 2*s + 40 = -3*s. Calculate the highest common divisor of n and 9. 3 Suppose -8*o + 105 + 63 = 0. What is the greatest common factor of 3 and o? 3 Let j(q) = -52*q**3 + q**2. Let p be j(-1). Let l be p/4 - (-1)/(-4). Suppose -10 = 5*o, -5*o + o - 164 = -4*b. What is the greatest common divisor of l and b? 13 Suppose -3*i - b + 200 = 0, -i + 4*i - 208 = -5*b. Calculate the greatest common factor of i and 6. 6 Suppose 0*f = -f + 1. Let b(d) = d**3 - 8*d**2 + 8*d - 5. Let h be b(7). Suppose h*s - 4 = -0. Calculate the highest common factor of s and f. 1 Suppose 2*j = -2*j + 12. Let a = j - 1. Suppose -4*f - 16 = l - 101, a*f = l - 85. Calculate the greatest common divisor of 17 and l. 17 Let h = -12 - -35. What is the greatest common divisor of 161 and h? 23 Let h = -11 + 16. Let x be (2/(-1) - -3)*2. Suppose -t - x*g + 100 = 3*t, 0 = 2*g. Calculate the greatest common divisor of t and h. 5 Suppose -74*c - 55 = -79*c. Calculate the greatest common factor of 99 and c. 11 Let l(u) = 12*u**2 + 3*u + 3. Let r be l(-1). What is the highest common divisor of r and 12? 12 Suppose -2*r = -34 - 2. Let q = r - -21. What is the highest common factor of q and 13? 13 Suppose 8*v = 3*v + 25. Suppose -5*n = -3*y + v*y - 244, -y - 3 = 0. What is the highest common factor of 5 and n? 5 Let w(v) = 179*v + 1. Let m be w(1). What is the highest common divisor of m and 20? 20 Let g be 6/21 - (-1 + 356/(-28)). Calculate the greatest common divisor of g and 6. 2 Let y be (-24)/30*(-70)/4. Let v = y + -7. Calculate the greatest common divisor of 28 and v. 7 Let s(v) = 4*v - 3. Let j be s(7). What is the highest common divisor of 25 and j? 25 Let h = -32 - 14. Suppose -10*f + 6*f - 616 = 0. Let y = h - f. What is the greatest common factor of y and 12? 12 Suppose -4*i + 8*u - 3*u = -140, -i - 2*u + 48 = 0. What is the greatest common factor of 10 and i? 10 Suppose -15 = -4*t - 7. Calculate the greatest common factor of 5 and t. 1 Suppose 4*q = -4*j + 556, -j + 3*q - 2*q = -131. Calculate the highest common divisor of 15 and j. 15 Suppose -8 = -2*g + 2. What is the greatest common factor of 5 and g? 5 Let r = -453 - -688. Calculate the greatest common divisor of 47 and r. 47 Suppose -d - 5*x + 15 = 0, 15 = -d + x + 4*x. Let l be 220/18 - (-2)/(-9). Let r = l + d. What is the greatest common factor of 6 and r? 6 Suppose 3*s = 3 + 12. Let i = 0 + 1. Calculate the greatest common divisor of i and s. 1 Let m be (84/8)/((-2)/4)*-1. What is the highest common factor of 42 and m? 21 Let q(f) = -f**3 - 4*f**2 - 2*f + 3. Let h be q(-3). Suppose -2*m = -3*r - 29, -4 + h = 3*m + 5*r. Calculate the greatest common factor of 63 and m. 7 Suppose 2 = o - 3. Suppose 0 = -d - 4*d + o. Let z = d - -2. What is the highest common divisor of 33 and z? 3 Let z(l) = -5 + 6 + 26*l**2 + 0. Let c be z(-2). Calculate the greatest common factor of 15 and c. 15 Let l = -1 + 9. Suppose 0 = -5*n + 2*p + 20, 3*n = 3*p - p + l. Calculate the greatest common factor of 66 and n. 6 Let n = 13 - 9. Suppose -n*v = -v + 18. Let d = 10 + v. What is the greatest common factor of d and 36? 4 Suppose 8*l + 1080 = 13*l. What is the greatest common divisor of 24 and l? 24 Let l be 61 +
{ "pile_set_name": "DM Mathematics" }
6? 2, 3, 277, 599 What are the prime factors of 2252773? 19, 139, 853 List the prime factors of 608955. 3, 5, 40597 List the prime factors of 12258294. 2, 3, 127, 16087 List the prime factors of 248149. 11, 17, 1327 List the prime factors of 228929. 228929 What are the prime factors of 3383937? 3, 41777 List the prime factors of 46135. 5, 9227 List the prime factors of 318424. 2, 53, 751 What are the prime factors of 236423? 11, 21493 List the prime factors of 3838611. 3, 7, 26113 List the prime factors of 3850. 2, 5, 7, 11 What are the prime factors of 332668? 2, 7, 109 List the prime factors of 2369692. 2, 13, 199, 229 What are the prime factors of 301456? 2, 83, 227 What are the prime factors of 234190? 2, 5, 11, 2129 List the prime factors of 797912. 2, 17, 5867 What are the prime factors of 8276667? 3, 7, 73, 5399 What are the prime factors of 1257727? 157, 8011 What are the prime factors of 539630? 2, 5, 7, 13, 593 List the prime factors of 255910. 2, 5, 157, 163 List the prime factors of 185010. 2, 3, 5, 7, 881 What are the prime factors of 933416? 2, 11, 10607 What are the prime factors of 2356126? 2, 137, 8599 List the prime factors of 188171. 188171 What are the prime factors of 9372008? 2, 241, 4861 List the prime factors of 906954. 2, 3, 71, 2129 List the prime factors of 241691. 241691 List the prime factors of 8661366. 2, 3, 7, 53, 1297 List the prime factors of 38415377. 7, 11, 13, 38377 List the prime factors of 72952. 2, 11, 829 What are the prime factors of 95783? 95783 List the prime factors of 12596960. 2, 5, 131, 601 What are the prime factors of 334785? 3, 5, 11, 2029 What are the prime factors of 1590851? 19, 101, 829 List the prime factors of 4290579. 3, 17, 29, 967 List the prime factors of 6961239. 3, 19, 40709 What are the prime factors of 20534073? 3, 7, 977813 List the prime factors of 3842236. 2, 71, 83, 163 List the prime factors of 2700146. 2, 1350073 What are the prime factors of 13293? 3, 7, 211 List the prime factors of 2581893. 3, 41, 6997 List the prime factors of 644041. 47, 71, 193 List the prime factors of 4488438. 2, 3, 181, 4133 What are the prime factors of 1256176? 2, 78511 What are the prime factors of 19728586? 2, 31, 318203 List the prime factors of 4998722. 2, 647, 3863 List the prime factors of 1253416. 2, 156677 List the prime factors of 9830770. 2, 5, 191, 5147 What are the prime factors of 40242533? 40242533 List the prime factors of 399735. 3, 5, 7, 47 List the prime factors of 8275110. 2, 3, 5, 275837 What are the prime factors of 2858792? 2, 357349 List the prime factors of 30278627. 1459, 20753 List the prime factors of 424677. 3, 11, 17, 757 What are the prime factors of 106580? 2, 5, 73 What are the prime factors of 580801? 13, 43, 1039 List the prime factors of 3524622. 2, 3, 587437 What are the prime factors of 985511? 19, 51869 List the prime factors of 22376. 2, 2797 List the prime factors of 497598. 2, 3, 239, 347 List the prime factors of 7320186. 2, 3, 135559 List the prime factors of 19831522. 2, 83, 193, 619 List the prime factors of 2125516. 2, 691, 769 What are the prime factors of 194727? 3, 13, 4993 List the prime factors of 10233333. 3, 11, 9397 What are the prime factors of 796367? 11, 13, 5569 List the prime factors of 15958273. 31, 514783 What are the prime factors of 6043258? 2, 13, 232433 What are the prime factors of 61124? 2, 7, 37, 59 What are the prime factors of 413019? 3, 5099 What are the prime factors of 946596? 2, 3, 7, 59, 191 What are the prime factors of 147698? 2, 73849 What are the prime factors of 8923792? 2, 443, 1259 What are the prime factors of 9693146? 2, 43, 269, 419 What are the prime factors of 6229273? 419, 14867 What are the prime factors of 5724343? 397, 14419 List the prime factors of 234128. 2, 14633 List the prime factors of 11248047. 3, 887, 1409 List the prime factors of 1915096. 2, 239387 List the prime factors of 10760823. 3, 398549 List the prime factors of 431557. 7, 61651 What are the prime factors of 34634271? 3, 7, 1649251 What are the prime factors of 37136520? 2, 3, 5, 43, 2399 List the prime factors of 1664626. 2, 59, 14107 List the prime factors of 1764368. 2, 110273 What are the prime factors of 329718? 2, 3, 179, 307 What are the prime factors of 441506? 2, 13, 16981 List the prime factors of 424690. 2, 5, 7, 6067 List the prime factors of 2455012. 2, 7, 87679 What are the prime factors of 485660? 2, 5, 7, 3469 List the prime factors of 77084. 2, 7, 2753 List the prime factors of 3654830. 2, 5, 17, 21499 What are the prime factors of 17517076? 2, 23, 190403 List the prime factors of 574036. 2, 143509 What are the prime factors of 769476? 2, 3, 64123 What are the prime factors of 5641? 5641 What are the prime factors of 6159612? 2, 3, 37, 13873 What are the prime factors of 1678177? 83, 20219 What are the prime factors of 4566942? 2, 3, 9397 What are the prime factors of 3983489? 241, 16529 What are the prime factors of 1240417? 29, 42773 List the prime factors of 2148. 2, 3, 179 List the prime factors of 1206869. 1206869 List the prime factors of 137781. 3, 7 List the prime factors of 710536. 2, 88817 List the prime factors of 13584592. 2, 7, 121291 List the prime factors of 11802610. 2, 5, 19, 62119 What are the prime factors of 5839? 5839 List the prime factors of 166022. 2, 17, 19, 257 What are the prime factors of 30340208? 2, 1896263 What are the prime factors of 92788? 2, 23197 List the prime factors of 20608. 2, 7, 23 What are the prime factors of 2250877? 47, 83, 577 List the prime factors of 14065100. 2, 5, 7, 71, 283 List the prime factors of 4219854. 2, 3, 703309 List the prime factors of 2117472. 2, 3, 7, 23, 137 What are the prime factors of 5630709? 3, 7, 73, 3673 What are the prime factors of 18106074? 2, 3, 7, 143699 What are the prime factors of 331843? 331843 What are the prime factors of 312512? 2, 19, 257 List the prime factors of 5509376. 2, 21521 List the prime factors of 3436067. 3436067 List the prime factors of 421015. 5, 7, 23, 523 What are the prime factors of 165036? 2, 3, 17, 809 What are the prime factors of 171848? 2, 21481 What are the prime factors of 37149? 3, 7, 29, 61 What are the prime factors of 2832058? 2, 1416029 What are the prime factors of 3969846? 2, 3, 23, 43, 223 What are the prime factors of 199080? 2, 3, 5, 7, 79 List the prime factors of 125727. 3, 7, 5987 List the prime factors of 6536230. 2, 5, 653623 List the prime factors of 5107818. 2, 3, 851303 What are the prime factors of 40702? 2, 47, 433 List the prime factors of 445349. 17, 23, 67 What are the prime factors of 123992? 2, 11, 1409 List the prime factors of 2150075. 5, 17, 5059 What are the prime factors of 103792? 2, 13, 499 What are the prime factors of 296161? 73, 4057 List the prime factors of 335882. 2, 19, 8839 What are the prime factors of 299276? 2, 23, 3253 What are the prime factors of 1756077? 3, 43, 13613 List the prime factors of 7634008. 2, 83, 11497 List the prime factors of 296009. 7, 863 What are the prime factors of 147608? 2, 18451 What are the prime factors of 2417272? 2, 11, 13, 2113 What are the prime factors of 308101? 308101 List the prime factors of 4228207. 41, 281, 367 What are the prime factors of 4451613? 3, 73, 20327 List the prime factors of 363929. 23, 15823 List the prime factors of 9322. 2, 59, 79 List the prime factors of 388623. 3, 281, 461 What are the prime factors of 454409? 454409 List the prime factors of 532758. 2, 3, 88793 What are the prime factors of 17648? 2, 1103 What are the prime factors of 1022288? 2, 181, 353 List the prime factors of 11324214. 2, 3, 11, 57193 List the prime factors of 140208. 2, 3, 23, 127 What are the prime factors of 155481? 3, 51827 What are the prime factors of 337365? 3, 5, 7, 17 What are the prime factors of 9017073? 3, 13, 77069 List the prime factors of 1220490. 2, 3, 5, 71, 191 What are the prime factors of 12492665? 5, 79, 31627 What are the prime factors of 1002276? 2, 3, 11, 2531 What are the prime factors of 661389? 3, 113, 1951 What are the prime factors of 45448? 2, 13, 19, 23 What are the prime factors of 72485? 5, 7, 19, 109 What are the prime factors of 619569? 3, 7649 What are the prime factors of 1372489? 101, 107, 127 List t
{ "pile_set_name": "DM Mathematics" }
et j(s) = s**2 - 5*s - 15. Let h be j(-3). Let z(d) = 6*d - 14*d + h*d. Let p(b) = 5*b. Calculate z(p(y)). 5*y Let k(a) = 90*a - 21. Let u(r) = -1. Let q(i) = -18*i + 2. Let o(p) = -q(p) + 2*u(p). Let z(c) = -4*k(c) + 21*o(c). Let m(l) = -440 - l + 440. What is m(z(s))? -18*s Let x be 925/6 + 3 + 171/(-54). Let j(s) = x*s - 310*s + 156*s - 2*s**2. Let v(m) = 52*m. Calculate v(j(i)). -104*i**2 Let l(w) = -5152*w. Let t(n) = -134*n**2 + 2. Give l(t(i)). 690368*i**2 - 10304 Let v(j) = -1263*j**2 - 416 + 208 + 207 - 843*j**2. Let s(m) = m. Give v(s(f)). -2106*f**2 - 1 Let k(w) = -2*w. Let m(o) = 11656*o**2 - 35*o - 15. Let b(i) = 13573413*i**2 - 40761*i - 17469. Let j(q) = -5*b(q) + 5823*m(q). Calculate k(j(y)). -11646*y**2 Let c(v) = -v - 2*v + 14*v - 7 - 4. Let n(f) be the second derivative of -f**3/6 - f**2/2 + f + 2. Let q(i) = -c(i) + 11*n(i). Let b(o) = 2*o**2. Give b(q(y)). 968*y**2 Let b(w) = 17*w**2 - 3*w + 9. Let k = 94 - 98. Let j(h) = -16*h**2 + 4*h - 12. Let m(a) = k*b(a) - 3*j(a). Let d(q) = -4*q**2. What is m(d(i))? -320*i**4 Let g(u) = -2*u**2 - 917 + 917. Let h(l) = 13*l. Suppose -15 - 17 = 5*c - q, -5*q - 8 = -c. Let m(j) = 4*j. Let a(d) = c*m(d) + 2*h(d). Determine g(a(r)). -8*r**2 Suppose j + 8 = -4*h, -4*j + 2 = 51*h - 52*h. Let d(z) be the second derivative of 1/6*z**3 + 20*z + 0 + j*z**2. Let p(o) = o**2. Give d(p(n)). n**2 Let y(t) = 2257615*t. Let x(c) = 496*c**2. Determine x(y(k)). 2528025442159600*k**2 Let j(c) = -339*c. Let h(f) = 20609 + 0*f + 14*f - 20609. Determine j(h(g)). -4746*g Let r(p) = p. Suppose 8*h - 7*h = -41. Let b = h + 54. Let q(t) = -b + 13 - 4*t. Determine q(r(i)). -4*i Let r(o) = -2*o**2 + 47. Let x(a) = -2*a - 2. Suppose 23*t + 42 = 19. Let v(j) = -6*j - 8. Let g(h) = t*v(h) + 4*x(h). What is r(g(d))? -8*d**2 + 47 Suppose 6*a = -4*a + 50. Let x(q) be the first derivative of -a*q**2 + 12*q**2 + 4 - 11*q**2. Let f(l) = -3*l**2. Determine x(f(u)). 24*u**2 Suppose 20*v + 15 = 25*v, 0 = 4*x + v - 3979. Let d(s) = 994 - x + 0*s + 4*s. Let u(j) = 49*j. What is d(u(t))? 196*t Let t(k) = 2*k**2. Let a(i) = -16211845*i**2 - 3*i. Determine a(t(n)). -64847380*n**4 - 6*n**2 Let w(y) = 2*y + 1. Let h(n) = 2*n + 78. Let s be h(-32). Let x(d) = 43 - 18 - d - s - 11. What is x(w(j))? -2*j - 1 Let m(i) = 2*i + 572. Let t(n) = -n - 57. Let s(w) = -2*w - 190. Let o(p) = -3*s(p) + 10*t(p). Determine o(m(q)). -8*q - 2288 Let q(x) = -4*x + 8. Let k(l) = l**2 + 23*l - 46. Let v(j) = -4*k(j) - 23*q(j). Let s(f) = -7*f - 1. Calculate v(s(c)). -196*c**2 - 56*c - 4 Let t(w) = -w. Let i(s) = 256*s**2 - 29*s + 6. Let x(o) = -255*o**2 + 39*o - 8. Let n(z) = -4*i(z) - 3*x(z). Calculate n(t(l)). -259*l**2 + l Suppose m - 3 = 3*b, 727*b + m = 723*b + 3. Let p(q) be the second derivative of b - 1/3*q**3 + 0*q**2 - 12*q. Let i(r) = 45*r. Determine p(i(w)). -90*w Let d(j) = 347*j + 1647. Let v(n) = 7*n. Determine v(d(y)). 2429*y + 11529 Let x(c) = -44*c - 3. Let l(k) be the third derivative of -k**5/30 - 4*k**2 + 20*k - 1. Give l(x(i)). -3872*i**2 - 528*i - 18 Let i = 943 + -706. Suppose -305 = -2*t + 169. Let w(c) = -t - c + i. Let r(l) = 14*l. Give r(w(d)). -14*d Let t(s) = -7*s + 3*s - 4*s + 6*s + 12*s. Let x(y) = -22*y**2 + 4. Let w(m) = 44*m**2 - 7. Let q(a) = -4*w(a) - 7*x(a). What is t(q(b))? -220*b**2 Let u(g) be the third derivative of -g**8/6720 + 13*g**5/30 + g**3/6 - 285*g**2. Let s(f) be the third derivative of u(f). Let b(v) = -33*v. Determine s(b(q)). -3267*q**2 Let t(h) = -277*h + 724*h - 220*h + 393*h + 482*h. Let r(d) = 12*d**2. Calculate r(t(g)). 14572848*g**2 Let f(c) = -477*c. Let t(v) = 301*v**2 - 42*v. Let q(n) = -7*n**2 + n. Let z(l) = -42*q(l) - t(l). Give f(z(x)). 3339*x**2 Let r(l) = 11*l. Let v(y) = -132192*y - 235. Give r(v(w)). -1454112*w - 2585 Let r(b) = -258*b. Let s(o) = 6*o - 10. Let w(m) = 8*m - 12. Let u(f) = -6*s(f) + 5*w(f). Calculate u(r(z)). -1032*z Let b(g) = -18*g. Let l(m) = -50*m + 20. Let d(u) be the second derivative of -7*u**3/6 + 3*u**2/2 + 17*u + 2. Let w(o) = -20*d(o) + 3*l(o). Determine b(w(z)). 180*z Let w(u) = -2496*u. Let y(i) = -24*i**2 - 7. Let x(q) = -17*q**2 - 5. Let n(k) = -7*x(k) + 5*y(k). Calculate w(n(f)). 2496*f**2 Let n(a) = -2*a + 78. Let y(v) be the first derivative of -v**4/6 + 83*v - 27. Let l(q) be the first derivative of y(q). Determine l(n(m)). -8*m**2 + 624*m - 12168 Let c = -37 - -32. Let v be -1*(c + 4) - -1. Let f(r) = -8*r**2 + 0*r**2 + 10*r**v. Let l(d) = 82*d. Determine f(l(h)). 13448*h**2 Let n(g) = 2*g. Let d(t) be the second derivative of 0*t**2 - 5 + 0*t**3 - 9*t + 4/3*t**4. Calculate n(d(k)). 32*k**2 Let b(h) = 69*h**2 + 12*h - 5. Let x(m) = -2 - 4 - 8*m + 2 + 67*m**2 + 18*m. Let a(j) = 5*b(j) - 6*x(j). Let n(k) = 5*k - 4*k + 0*k. Determine n(a(w)). -57*w**2 - 1 Let m(p) be the second derivative of p**4/12 - 46*p**3/3 - 243*p - 17. Let a(b) = 9*b. Determine m(a(u)). 81*u**2 - 828*u Let v(z) = z + 41. Let o(p) be the second derivative of -29*p**3/6 + 591*p. Determine v(o(b)). -29*b + 41 Let a(y) = -134*y. Let o(j) be the first derivative of -2*j**3 - 1428. Calculate o(a(r)). -107736*r**2 Let g(u) = 3*u. Let r(m) = 125*m + 2413. Let y(b) = -312*b - 4826. Let d(v) = 5*r(v) + 2*y(v). Calculate d(g(s)). 3*s + 2413 Let v(c) = -29616202*c**2. Let g(r) = -2*r**2. Determine g(v(n)). -1754238841809608*n**4 Let f(o) = 26932*o + 17. Let u(a) = -3*a + 1. Determine f(u(l)). -80796*l + 26949 Let g(q) = -8*q. Let a be (38540/(-80))/((-1)/4). Let v(t) = a*t - 1 + 1 - 1919*t. Determine v(g(j)). -64*j Let c(k) = 701*k. Let v(g) = -89896*g - 1. What is c(v(t))? -63017096*t - 701 Let u(g) = -4*g**2. Let o(a) be the first derivative of 25*a**4/24 - 259*a**2/2 + 90. Let c(v) be the second derivative of o(v). Determine u(c(p)). -2500*p**2 Let f = 18 + -13. Let a(n) = 7*n**2 + 6*n. Let j(r) = -r**2 - r. Let x(h) = f*a(h) + 30*j(h). Let v(d) = -4*d. Give x(v(p)). 80*p**2 Let a(w) = 1409*w**2 + 749*w. Let y(i) = -i**2. Give a(y(u)). 1409*u**4 - 749*u**2 Let z(q) = 2959*q - 10 - 2958*q - 5 + 15. Let i(o) = -6*o - 1. What is i(z(d))? -6*d - 1 Let x(r) be the first derivative of 29*r**4/24 + r**2 - 52*r + 36. Let y(o) be the second derivative of x(o). Let u(c) = -5*c**2. Give y(u(g)). -145*g**2 Let b(l) = -3*l**2. Let v(q) = 643620*q**2 - 34680*q - 5780. Let u(g) = 334*g**2 - 18*g - 3. Let m(s) = -11560*u(s) + 6*v(s). Determine b(m(x)). -1387200*x**4 Let g(m) = 6*m. Let x(q) be the third derivative of q**7/840 - 91*q**5/60 + 6*q**2 - 3*q. Let c(z) be the third derivative of x(z). Give g(c(s)). 36*s Let i(g) = 5262*g. Let z(f) = 2*f - 1576. Calculate z(i(y)). 10524*y - 1576 Suppose 2*x - 22 + 10 = 0. Let q(h) = 19*h + 69. Let o(y) = -16*y - 68. Let s(u) = x*o(u) + 5*q(u). Let m(r) = 2*r**2. What is m(s(z))? 2*z**2 + 252*z + 7938 Let l(x) = -2*x**2 - 106. Let c(t) = -17*t**2 - 7716. Determine c(l(k)). -68*k**4 - 7208*k**2 - 198728 Let j(q) = -6*q. Let i(d) = -21*d**2 + d + 1. Let l(c) = 184*c**2 - 10*c - 9. Let s(t) = -18*i(t) - 2*l(t). Give j(s(h)). -60*h**2 - 12*h Let v(y) = -35*y + 117. Let l(a) = 7*a - 22. Let c(u) = 11*l(u) + 2*v(u). Let z(m) = -6*m. Let o(b) = b. Let h(k) = -16*o(k) - 3*z(k). Calculate c(h(r)). 14*r - 8 Let a(g) = 7*g**2 - 3*g. Let l(r) = -6*r**2 + 2*r. Let q(m) = -2*a(m) - 3*l(m). Let t(j) = -j. Let x(y) = -21*y. Let v(o) = 42*t(o) - x(o). Calculate q(v(n)). 1764*n**2 Let a(f) = -f**2. Let l(o) be the first derivative of 2*o**2 - 28*o + 1099. Determine a(l(s)). -16*s**2 + 224*s - 784 Let m(t) = -t**2 - 2. Suppose -n - 11 = 5*l - 9, 2 = -n + 4*l. Let g(r) = -2*r**2 - r + 2. Let s(u) = 5*u**2 + 2*u - 4. Let v(z) = n*g(z) - s(z). Give m(v(a)). -a**4 - 2 Let o(w) be the first derivative of 8*w**2 + 8*w + 220. Let t(v) = -3*v. What is o(t(r))? -48*r + 8 Let c = -35 - -24. Let s = -8 - c. Let d(u) = -10*u**2 - s*u - 3*u + 6*u. Let i(v) = -4*v**2. Determine d(i(k)). -160*k**4 Suppose -i = -3*n + 16, n = -0*n + 5*i + 24. Let q(y) = -n + 2 + 2 + 3*y. Let r(x) = 2*x - 6. Let z(p) = 3*p - 7. Let c(s) = 7*r(s) - 6*z(s). What is q(c(a))? -12*a Let k(n) = 12*n**2 + 2*n - 46. Let h(u) = 32*u. Determine h(k(a)). 384*a**2 + 64*a - 1472 Let i(j) = 23*j**2. Let u be (-58)/(-12) + 5/30. Suppose 0 - 12 = -2*k. Let d(l) = -4*l. Let c(x) = 5*x. Let f(z) = k*d(z) + u*c(z). What is
{ "pile_set_name": "DM Mathematics" }
or of 120512 and 1792. 448 Calculate the greatest common factor of 40 and 9920. 40 Calculate the greatest common divisor of 297810 and 180. 90 What is the highest common divisor of 128 and 29912? 8 Calculate the greatest common factor of 5120 and 400. 80 Calculate the highest common factor of 11 and 511753. 11 Calculate the highest common divisor of 2305 and 570257. 461 What is the greatest common factor of 56 and 15896? 8 What is the greatest common factor of 8455 and 6745? 95 What is the greatest common factor of 38024 and 24? 8 What is the greatest common factor of 8 and 5237608? 8 Calculate the greatest common factor of 37943 and 76. 19 What is the greatest common divisor of 4803 and 4? 1 What is the highest common factor of 200 and 2775? 25 Calculate the highest common factor of 176620 and 55. 5 Calculate the highest common divisor of 37752 and 416. 104 What is the greatest common divisor of 249347 and 1592? 199 What is the greatest common divisor of 164 and 3960518? 82 Calculate the greatest common factor of 12992 and 2291. 29 What is the highest common factor of 16948 and 608? 76 What is the highest common factor of 379412 and 352? 44 What is the highest common divisor of 510 and 755140? 170 What is the greatest common factor of 10793544 and 2672? 1336 What is the greatest common factor of 150 and 1896690? 30 Calculate the greatest common factor of 32 and 3426704. 16 Calculate the highest common divisor of 286638 and 5151. 303 What is the highest common factor of 160 and 16190? 10 Calculate the highest common factor of 84 and 528492. 12 Calculate the highest common divisor of 54488 and 28. 28 What is the highest common divisor of 114 and 63312? 6 Calculate the greatest common factor of 53760 and 1050. 210 What is the highest common factor of 440 and 49184? 8 Calculate the highest common divisor of 1450 and 263600. 50 What is the highest common divisor of 427 and 3660? 61 What is the greatest common factor of 520 and 3029? 13 Calculate the highest common divisor of 42 and 492198. 42 Calculate the highest common factor of 14 and 180. 2 What is the greatest common divisor of 17970 and 30? 30 What is the highest common divisor of 3346 and 4063? 239 What is the highest common divisor of 3804592 and 32? 16 What is the highest common divisor of 561496 and 416? 104 Calculate the greatest common divisor of 4007300 and 2200. 1100 What is the greatest common divisor of 16670 and 960? 10 Calculate the highest common divisor of 70 and 129066. 14 Calculate the greatest common divisor of 712 and 11624. 8 What is the highest common divisor of 11 and 13927243? 11 Calculate the highest common divisor of 616 and 4697. 77 What is the highest common factor of 4094491 and 79? 79 Calculate the greatest common factor of 3070411 and 356. 89 Calculate the highest common divisor of 20434 and 4318. 34 What is the highest common divisor of 84 and 1368? 12 What is the highest common divisor of 12726 and 630? 126 Calculate the greatest common divisor of 721277 and 31. 31 What is the greatest common factor of 105448 and 1421? 49 What is the highest common factor of 4590 and 72590? 170 What is the greatest common divisor of 75631 and 265? 53 Calculate the highest common divisor of 34400 and 28165. 215 What is the highest common divisor of 22 and 39226? 22 What is the highest common divisor of 193 and 9001327? 193 What is the highest common factor of 1761264 and 6342? 906 What is the greatest common divisor of 48927 and 235? 47 What is the greatest common divisor of 44 and 381645? 11 What is the highest common factor of 95354 and 1029? 343 Calculate the highest common factor of 3329250 and 6. 6 Calculate the highest common factor of 816 and 4764. 12 What is the greatest common factor of 54 and 2318? 2 What is the highest common factor of 804 and 172? 4 Calculate the highest common factor of 434 and 39900. 14 What is the greatest common divisor of 4876 and 115964? 212 Calculate the highest common factor of 104 and 22558. 2 Calculate the highest common divisor of 50952 and 594. 66 What is the greatest common factor of 23964 and 306? 6 What is the highest common divisor of 1380 and 26680? 460 Calculate the greatest common factor of 119025 and 2116. 529 Calculate the greatest common divisor of 177 and 382438. 59 What is the highest common divisor of 117 and 225774? 9 Calculate the highest common factor of 132301 and 13. 13 What is the greatest common divisor of 23870 and 5621? 77 What is the highest common divisor of 1224 and 221? 17 What is the greatest common divisor of 17516 and 4234? 58 Calculate the greatest common divisor of 362 and 777757. 181 Calculate the highest common divisor of 22 and 1506. 2 What is the highest common divisor of 128 and 40200? 8 What is the greatest common factor of 199 and 30049? 199 What is the highest common factor of 41069 and 98? 7 Calculate the highest common divisor of 1326 and 73190. 26 Calculate the greatest common divisor of 647 and 673. 1 What is the greatest common divisor of 87 and 504? 3 Calculate the highest common divisor of 1008 and 37548. 252 What is the highest common factor of 6706 and 154? 14 Calculate the highest common factor of 8250 and 18. 6 Calculate the greatest common divisor of 55328 and 12008. 152 What is the highest common factor of 89068 and 56? 28 What is the highest common factor of 708483 and 2085? 417 What is the highest common divisor of 1700 and 8908? 68 What is the greatest common factor of 232326 and 18? 18 Calculate the greatest common divisor of 1998 and 9288. 54 Calculate the greatest common factor of 9783 and 279. 9 Calculate the greatest common factor of 42159 and 94. 47 Calculate the highest common divisor of 279 and 215512. 31 What is the highest common divisor of 138141 and 9? 9 Calculate the greatest common factor of 15463 and 987. 329 Calculate the greatest common factor of 4935 and 3108. 21 Calculate the greatest common factor of 137 and 1509329. 137 What is the greatest common divisor of 34596 and 161820? 1116 What is the highest common divisor of 19 and 58235? 19 What is the greatest common divisor of 108 and 2085966? 54 What is the highest common factor of 183285 and 90? 45 What is the greatest common factor of 71 and 1046327? 71 Calculate the greatest common divisor of 855 and 5065020. 855 Calculate the greatest common divisor of 13611 and 63867. 1047 What is the greatest common divisor of 336 and 222? 6 Calculate the greatest common factor of 6386 and 1442. 206 Calculate the highest common divisor of 1840 and 80477. 23 What is the highest common factor of 23424 and 1281? 183 Calculate the highest common factor of 433 and 37. 1 Calculate the greatest common divisor of 27856 and 4160. 16 Calculate the greatest common divisor of 1968 and 6027. 123 Calculate the greatest common factor of 8797 and 103249. 463 Calculate the greatest common factor of 8184 and 14784. 264 Calculate the highest common factor of 305 and 70272. 61 What is the highest common factor of 1886 and 5198? 46 What is the greatest common factor of 996465 and 45? 15 Calculate the highest common divisor of 14 and 41594. 14 What is the greatest common factor of 33189 and 1521? 39 What is the highest common divisor of 270 and 328060? 10 What is the highest common factor of 1042 and 150? 2 What is the highest common factor of 1896926 and 3544? 886 What is the greatest common divisor of 264603 and 2895? 579 What is the greatest common divisor of 62237 and 4522? 119 What is the highest common divisor of 4410 and 770? 70 What is the highest common factor of 7063 and 23207? 1009 Calculate the greatest common factor of 37 and 275909. 37 Calculate the greatest common factor of 39 and 291239. 13 Calculate the highest common factor of 644 and 1148. 28 Calculate the highest common divisor of 18 and 95994. 18 Calculate the highest common divisor of 168 and 205926. 42 What is the greatest common divisor of 597 and 1479167? 199 What is the greatest common factor of 12206 and 351102? 718 Calculate the greatest common factor of 40 and 7168. 8 Calculate the greatest common factor of 686571 and 1179. 393 Calculate the greatest common factor of 14200 and 2885. 5 Calculate the greatest common divisor of 669632 and 64. 64 Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
7 + v. Is y a prime number? False Suppose -4*b - 1279711 = -35*b. Is b composite? False Suppose -h = -2*h - 107. Let j(k) = -k**3 - 11*k**2 + 17*k + 36. Let d be j(-13). Let r = d + h. Is r composite? True Suppose -4*y = -9*y + 15. Suppose -y*k = -2*k - 2, -5532 = s - 5*k. Is ((-1)/2)/(11/s) a composite number? False Let j(u) be the second derivative of u**4/3 - 3*u**3/2 + 7*u**2/2 + 16*u. Is j(8) prime? True Let a = -1 - -2. Let b(k) = 65*k - 8. Let d(w) = 66*w - 10. Let v(h) = 3*b(h) - 2*d(h). Is v(a) composite? False Let p(i) = 11*i**2 - 28*i - 11. Is p(-12) composite? True Suppose 6*b = b. Suppose -2*k + 6 = -5*f, b*k - 3*k = 4*f - 9. Suppose 3*n + f*n + 196 = u, 0 = 2*u - 2*n - 380. Is u composite? True Suppose -4*i = -5*o + 90981, -o + 4*i + 7999 = -10194. Is o composite? True Let x = 229 + 228. Suppose 0 = -3*j + 475 + 263. Let f = j + x. Is f a composite number? True Suppose 0 = 3*c, -3*m = -4*m + 2*c + 541. Is m prime? True Let q(m) = m**3 - 4*m**2 + 2*m + 2. Suppose 2*f = w + 4 + 37, -4*f = -3*w - 87. Let r = -13 + f. Is q(r) composite? False Let c(z) = z**2. Let g(a) = -10*a**2 + 13. Let x(l) = 2*c(l) - g(l). Is x(-6) a composite number? False Suppose i - 5*b = -2*i - 76, -3*i = -b + 68. Let c = -18 - i. Is ((-259)/c)/((-1)/4) a prime number? False Let s be (1 + -2)*(-2 - -3)*-1. Is 140*1 + (5/s - 3) prime? False Let h = 41 + -41. Is -1 + -2 + 1052 + h composite? False Let s(g) = g**2 + 6*g + 4. Let k be s(-9). Let n be 60*1 - (2 + -6). Let r = n - k. Is r composite? True Suppose 0*l = 4*l - 8. Suppose -5*v - l = -7, -5*s + 5*v = 510. Let b = 286 + s. Is b composite? True Let c(z) = -43*z**3 + 8*z**2 + 6*z - 20. Is c(-3) a prime number? False Let a be 39/52*184*2. Suppose -4*f + 1280 - a = 0. Is f a prime number? True Let y = 3771 - 2210. Is y prime? False Let a = 18146 + -1891. Is a composite? True Let l(x) = 52*x + 91*x - 4 - 12. Is l(3) a composite number? True Suppose -6907 = -17*i + 6472. Is i a prime number? True Is (4/(4/15))/(114/30286) a composite number? True Let u be -1794 - 3/9*-3. Let w = 5640 + u. Is w composite? False Let q = 457 + -274. Is q a composite number? True Let n = 172 + 2457. Is n a prime number? False Let r = 0 + -4. Let p = 6 + r. Suppose p*o - 20 = 54. Is o a composite number? False Suppose -3*c - 16 = -4*c. Suppose -2*p = -70 - c. Is p a prime number? True Let u = 10 - 6. Suppose u*l - 2*l = 526. Is l composite? False Suppose 0 = -4*r + u - 3132, 7 = -4*u - 9. Let w = -293 - r. Is w prime? True Suppose 7*i - 2*i - 25 = 0, 3*d + 2*i = 10429. Let t = d + -2002. Is t a prime number? True Let y(w) = w**3 + 6*w**2 - 8*w - 3. Let f be y(-7). Is 2*(0 + 1538/f) a prime number? True Suppose -9*y + 344182 + 86045 = 0. Is y a prime number? False Suppose -392 = -2*x - 5*f, 5*x - 7*f - 1013 = -3*f. Is x composite? True Let p be 168220/36 + (-8)/(-36). Suppose 0 = 5*c + 138 - p. Is c composite? False Suppose 5*n = b + 37, -5*b + 39 = 3*n - 0*b. Suppose -5*h + n = -4*h - 2*q, h - 5*q = 20. Suppose k + h*d + 5*d = 282, 5*k - 3*d = 1550. Is k a prime number? True Let h(n) = 80*n**2 + 2*n + 1. Suppose 3*s - 18 = s + 5*u, -2*u - 5 = -3*s. Let w be h(s). Suppose 5*r = -m + 360 + 91, -r - 3*m = -w. Is r a prime number? False Let y(f) = 56*f**2 + 6*f + 7. Let n = -35 - -29. Is y(n) prime? True Suppose 54742 + 272856 = 5*n - 3*i, 5*n - i = 327596. Is n a composite number? False Let j(f) = 10*f**3 - 2*f**2 + 3*f - 2. Let t be j(1). Suppose t = 3*p + 3. Suppose -6*z = -2*o - p*z + 280, 5*o - 4*z - 706 = 0. Is o prime? False Let a = 44196 + -7389. Is a prime? False Let r(w) = 125*w**2 - 21*w + 87. Is r(-16) a prime number? True Let r be ((-1)/1)/((-1)/419). Let m be r - 0 - -2 - 3. Is 2/(1 + m/(-422)) prime? True Suppose -5*p + 4*k = -196, -6*k - 155 = -4*p - k. Suppose p = s - 51. Let o = s - 33. Is o composite? True Suppose 3*w + 1135 = -2*q + 3*q, -5*q + 5699 = -3*w. Is q a prime number? False Let a = -7 - -12. Suppose 0 = q + 5, -k - 2*k - a*q = 19. Is (6 + k)/(-4) - -151 composite? False Let n = 5770 - 2499. Is n a prime number? True Let x(q) = -q**3 - 8*q**2 + 21*q + 65. Is x(-17) a prime number? True Let r(t) = 7*t**2 - 2*t + 2. Let q(l) = l**2 + 6 - 11 - l**3 + 0*l**2 + l. Let n be q(0). Is r(n) composite? True Is -2 + 3*36870/18 a composite number? False Let v = 12884 + -7405. Is v prime? True Is 23876/20*(-5)/(-1) composite? True Let y = -3 - -7. Suppose -243 - 136 = -q + j, q = y*j + 379. Is q composite? False Let v = -18475 - -29502. Is v a prime number? True Let v(m) = 3*m**2 - 21*m + 29. Let p(h) = -h**2 + 7*h - 10. Let j(z) = -17*p(z) - 6*v(z). Let y(r) be the first derivative of j(r). Is y(-13) prime? False Let j(c) = 48*c + 119. Is j(25) a composite number? False Let g(u) be the first derivative of u**2/2 + 83*u + 11. Is g(0) a prime number? True Let s be (-8)/(-6) + (-33)/(-9). Is -2 + 2 + (16025/s - 0) a prime number? False Suppose -3*q - 19 = y - 5*y, 2*y - 10 = 2*q. Let n(k) = y - 3*k - 2*k + 5*k + 2*k + 3*k**2. Is n(3) composite? False Let f = 502 + -196. Suppose -4*v + 2*o + f = -346, 0 = 2*o + 8. Is v prime? False Suppose -q + 1 = -4*c + 13, -8 = -3*q + c. Suppose 5*a + 705 = 3*h, -2*h + q*a = h - 705. Is h a composite number? True Suppose 192665 - 509037 = -28*j. Is j composite? False Suppose 6*d + 6 = 9*d. Let v(f) = 18*f**2 + 3*f - 2*f + 4*f**2 + d - 4*f. Is v(-3) a composite number? True Suppose 3*q - 17 = -3*v - q, -q - 8 = -v. Suppose -2*z + 6 = -2*w, 3*z + 2*z - 4*w - 18 = 0. Suppose v*g - 257 = z*g. Is g a composite number? False Let m(q) be the first derivative of 5*q**2 + 467*q + 36. Is m(0) prime? True Let n(i) = 13 - 15 - 2*i + 2*i**2 - 5*i**3 + 2*i. Suppose -13*c + 15*c = -4. Is n(c) prime? False Suppose 3 = w - 0. Suppose -z + 3*j - 10 = -2*j, -2*z = w*j - 32. Suppose 4*g + 973 = 3*i - 258, 0 = -5*g + z. Is i prime? False Let a be ((-30)/(-9)*8)/((-2)/15). Let x = a + 1413. Is x a prime number? True Let g be (11 - (-20)/5) + 3. Let n = 23 - g. Suppose 2422 = n*o - 3*o. Is o a prime number? False Let z(s) = -s**3 + s**2 - 1. Let c be z(2). Let b be (1/3)/(c/(-15)). Is (-118)/4*(-10)/b a prime number? False Let a(r) = 4*r**2 + 20*r + 27. Let s be -13*((-3)/(-1) - 2). Is a(s) a composite number? False Suppose -2*r - 5*p + 2525 = 3*r, 4*r - 3*p = 1992. Suppose 3*d - r = -0*d - 3*a, -4*d = -5*a - 677. Let z = 235 - d. Is z a composite number? False Suppose 4*v + 9 = 7*v. Suppose -5*r + 46 = 3*t, r = -v*t + 8 + 6. Is (2 + (-164)/r)*-2 a prime number? True Suppose -26*p + 14024 = -18*p. Is p prime? True Let d(g) = 1976*g**2 + 4*g + 13. Is d(-2) a prime number? False Let m(o) = 13*o + 1. Let b be (12/9)/((-4)/30). Let i be -2 - -2 - (b - 0). Is m(i) a prime number? True Suppose -2*y + 3181 = 5*d - 9128, 4*y + 9836 = 4*d. Is d prime? False Suppose -3*b = 2*d + 4, 2*b + 0*b = 5*d + 29. Is -16*(-5 - -4) + d a composite number? False Suppose -5*i - 3 = 7, 3*s = 4*i + 20. Is 2145/12 + 1/s prime? True Let v be (72/120)/(3/10). Suppose 0 = 5*n - v*c - 601, c = 4*n - 384 - 95. Is n composite? True Let v(n) = -n**2 - 14*n - 15. Let b be v(-13). Suppose 3*h - 16 = -h. Is (-16)/h + (b - -145) a composite number? False Let z(q) be the third derivative of -2*q**2 + 0*q + 0*q**3 + 1/10*q**5 - 7/24*q**4 + 0. Is z(5) composite? True Let j(y) = 415*y**2 - 5*y + 25. Is j(8) a prime number? False Suppose 3*j - 8 = -j. Let x(d) = -4*d - 9*d**j + 9 + 12*d**2 - d. Is x(5) prime? True Let i = 41 - 21. Is 61 - -5*(-8)/i prime? True Suppose -3*q + 78 = -2*q. Is (-4)/(-3) - (-6838)/q composite? False Let q(r) be the first derivative of -149*r**2/2 + 3*r - 10. Let a(y) = 149*y - 2. Let k(s) = -4*a(s) - 5*q(s). Is k(4) a composite number? True Let v(o) = 24*o**2 + 19*o - 7. Is v(14) a prime number? False Suppose -2*k - k = -18. Let b(x) = x**2 - 6*x. Let g be b(k). Is (-2)/(6/(-1041) - g) composite? False Let q = 1499 + 6108. Is q a composite number? False Let a(t) = 91*t**2 - 33*t + 85. Is a(16) a prime number? True Suppose 0 = -l - l + 6. Suppose -4*a + l*a = -619. Is a prime? True Let j(d) = d**3 + 2*d + 3989. Is j(0) prime? True Let q = -5991 - -18412. Is q composite? False Let s be ((-16)/(-6))/((-5)/((-15)/2)). Suppose 0 = s*v - 2145 + 373. Is v composite? False Let v(w) = w**3 - 8*w**2 - 4. Let k = 47 + -38. Is v(k
{ "pile_set_name": "DM Mathematics" }
r u. -21 Solve -354 = 25*n - 54 for n. -12 Solve 15272*v - 15525*v = -8096 for v. 32 Solve -2016 = -626*q + 698*q for q. -28 Solve -6448*i + 4968 = -6862*i for i. -12 Solve -14*h + 38836 = 53*h + 40779 for h. -29 Solve -9*v = -197*v - 188 for v. -1 Solve -28*j + 7*j - 120 = 90 for j. -10 Solve 8513 - 8585 = 8*s for s. -9 Solve -1704 = -14*x - 69*x + 537 for x. 27 Solve -224 + 78 = 20*c + 334 for c. -24 Solve 4*k + 3*k = 84 - 14 for k. 10 Solve -451 = 49*h - 114 + 55 for h. -8 Solve 3994*c - 9546 = 4252*c for c. -37 Solve 101*g + 101*g - 2709 = -185*g for g. 7 Solve 1073 - 676 + 1696 = -161*w for w. -13 Solve 4156 = 517*o - 3599 for o. 15 Solve -34 + 49 = 17*f + 32 for f. -1 Solve 182 = -22*g + 87 + 95 for g. 0 Solve -14*t + 21*t - 16*t - 180 = 0 for t. -20 Solve -39*l = -21*l + 126 for l. -7 Solve 1034*j + 2140 = 1248*j for j. 10 Solve 26*o = 74817 - 75415 for o. -23 Solve 2924*p - 33 = 2935*p for p. -3 Solve 5 - 48 = -9*n + 38 for n. 9 Solve -128698*f + 128699*f = 19 for f. 19 Solve -215*u + 1575 = 10*u for u. 7 Solve -199*x - 144*x + 464 = -227*x for x. 4 Solve -38*y - 77 = -152 - 685 for y. 20 Solve 12*u = -12*u + 36*u - 168 for u. 14 Solve -110*v - 1814 = -494 for v. -12 Solve -395 = -80*k + 405 for k. 10 Solve 21576*y - 584 = 21561*y - 149 for y. 29 Solve -1740 = 123*b - 1617 for b. -1 Solve 32969 = -3*x + 32915 for x. -18 Solve -42*r - 5 + 555 = 13*r for r. 10 Solve -105*j + 189 + 118 = -533 for j. 8 Solve 1051*a + 15496 = -886*a for a. -8 Solve 10*z + 26503 - 26413 = 0 for z. -9 Solve -69*d + 144*d = -406*d - 10101 for d. -21 Solve 982 = -13*k + 774 for k. -16 Solve 92*n + 675 = -59*n + 222 for n. -3 Solve -v - 220 = -113 - 116 for v. 9 Solve 0 = -47*k - 1489 + 690 for k. -17 Solve 150*l - 1299 = -87 + 1488 for l. 18 Solve 967*m = 957*m + 20 for m. 2 Solve 3402*t = 2630*t - 20844 for t. -27 Solve 155*z - 787 = -25*z + 113 for z. 5 Solve -34*i - i + 354 = 24*i for i. 6 Solve 0 = -3755*p + 3672*p + 1162 for p. 14 Solve 0 = -3*l - 1456 + 1483 for l. 9 Solve -9970*q + 9999*q - 232 = 0 for q. 8 Solve -140*v - 113*v - 9156 = 74*v for v. -28 Solve -54 = -168*i + 195*i for i. -2 Solve -192*c - 955 = -c for c. -5 Solve 116*h + 112*h - 232*h = -12 for h. 3 Solve -87*p + 6*p + 751 = -221 for p. 12 Solve 1151*k - 1132*k + 38 = 0 for k. -2 Solve 89*a + 1591 = 3282 for a. 19 Solve 0 = -751*o - 8120 - 2394 for o. -14 Solve 26*l + 80*l - 636 = 0 for l. 6 Solve 5*x + 99 = 14*x for x. 11 Solve 25*y = -29*y + 33*y + 315 for y. 15 Solve -407*u = -5385 - 313 for u. 14 Solve -87*a + 1227 = -141*a - 177 for a. -26 Solve -22*a - 45*a = -358*a + 2910 for a. 10 Solve -151 - 2009 = 99*w + 45*w for w. -15 Solve -5*m + 38 - 48 = 0 for m. -2 Solve 0 = 101*y + 95*y - 182*y - 140 for y. 10 Solve -1423 = -1468*m + 573 - 528 for m. 1 Solve -22*v - 37 - 98 = 23*v for v. -3 Solve 0 = 35*d - 47*d + 69*d - 855 for d. 15 Solve -355*o + 381*o = 104 for o. 4 Solve 290*w - 307*w = -255 for w. 15 Solve -781*f + 12442 = 1508 for f. 14 Solve -749*w - 412*w = -76*w + 31465 for w. -29 Solve 407 = 84*i - 879 - 814 for i. 25 Solve -51*r = 471*r - 8874 for r. 17 Solve 208*g = 1120 + 1168 for g. 11 Solve -676*k + 642*k = -442 for k. 13 Solve 166 + 3066 = -28*v - 174*v for v. -16 Solve 12*s = 17*s - 18*s - 26 for s. -2 Solve -12*h + 5 - 133 - 16 = 0 for h. -12 Solve 44*d - 209*d + 14*d - 3020 = 0 for d. -20 Solve 0 = 226*m - 48 + 416 + 762 for m. -5 Solve -281*o + 11746 = 7250 for o. 16 Solve -314 = 14*n - 722 + 268 for n. 10 Solve 1819 = -28*z - 79*z for z. -17 Solve -10*h + 331 = -40*h + 241 for h. -3 Solve -563*k - 954 = -510*k for k. -18 Solve -98*q - 189*q = 414*q - 13319 for q. 19 Solve 5362 = -272*f - 1710 for f. -26 Solve -3124 = -109*s - 175*s for s. 11 Solve -60*a + 261 = 30*a - 369 for a. 7 Solve -31*a - 33*a = -74*a - 70 for a. -7 Solve -307 - 365 = -32*l for l. 21 Solve -25*m = -453 + 228 for m. 9 Solve -7*c + 29 = 87 - 44 for c. -2 Solve 2181 + 2292 + 433 = 223*x for x. 22 Solve -175*a + 93*a = -1230 for a. 15 Solve 666*y + 2620 = 11944 for y. 14 Solve -30*d = 66 + 264 for d. -11 Solve 10193 = -2*z + 10219 for z. 13 Solve 29377*h + 3105 = 29512*h for h. 23 Solve 60*w - 20*w + 920 = -190*w for w. -4 Solve 22*l + 52*l + 203 = -129*l for l. -1 Solve -22 - 61 = 9*q - 38 for q. -5 Solve 201 - 226 = 12*w + 119 for w. -12 Solve 22*f = 210*f + 157*f + 6555 for f. -19 Solve -2*h - 292 + 1020 = -28*h for h. -28 Solve -644*a + 642*a + 8 = 0 for a. 4 Solve 450*b + 454*b + 3962 = 338*b for b. -7 Solve -46*n = 36 + 10 for n. -1 Solve 6725 = 55*j + 7055 for j. -6 Solve -39*p + 231 = 633 - 285 for p. -3 Solve 5331*c + 3572 = 5237*c for c. -38 Solve 20*o = -67*o + 17*o - 1260 for o. -18 Solve 0 = -135*u + 90*u + 93*u for u. 0 Solve -2034 = 428*q + 2674 for q. -11 Solve 6387 - 2047 = -124*i for i. -35 Solve 6*j - 4*j + 204 = -15*j for j. -12 Solve -65 = 14*z + 4*z - 5*z for z. -5 Solve -56*j + 195*j + 14180 = -570*j for j. -20 Solve -72*u = 20*u - 644 for u. 7 Solve 9 - 69 = 24*k - 18*k for k. -10 Solve -10*s + 176 = 56 for s. 12 Solve 26*s + 69 + 152 + 169 = 0 for s. -15 Solve -35 + 30 = -18*p - 185 for p. -10 Solve 277 = -17*r + 73 for r. -12 Solve 41*p + 42 - 575 = 0 for p. 13 Solve 1780*p = 1809*p + 174 for p. -6 Solve 4494 = -373*n + 52*n for n. -14 Solve 711*i = -8793 + 4350 - 6222 for i. -15 Solve 115 - 701 = -81*z + 386 for z. 12 Solve -41 = -a - 40 for a. 1 Solve 97*k - 33*k = -168*k - 2552 for k. -11 Solve 131*a + 1577 = 48*a for a. -19 Solve -65*s = 137*s + 3232 for s. -16 Solve -100 - 129 = 15*o - 79 for o. -10 Solve -3585 = 15*i - 3675 for i. 6 Solve 92*z = 14044 - 13860 for z. 2 Solve 0 = 183*m - 47 + 230 for m. -1 Solve 4655 = 966*k - 7903 for k. 13 Solve 311*f + 2160 - 7447 = 0 for f. 17 Solve 153*y - 32*y + 4589 = -232*y for y. -13 Solve 12 = -38*r - 156 - 212 for r. -10 Solve 15*k = -35923 + 36043 for k. 8 Solve -58*r - 29 + 145 = 0 for r. 2 Solve -43596*u + 43633*u = 963 - 1 for u. 26 Solve -2673 = 550*a + 9427 for a. -22 Solve 819053*m = 819024*m + 377 for m. 13 Solve -4*d + 28930 - 28854 = 0 for d. 19 Solve -95 = -14*n + 93 + 162 for n. 25 Solve 0 = -53*k - 14706 + 14706 for k. 0 Solve -1340 = -536*c - 8308 for c. -13 Solve 418*o + 8 = 419*o - 8 for o. 16 Solve -645*v + 24 = -642*v for v. 8 Solve 19*z - 53 = 4 for z. 3 Solve 8*h - 93 = -7 - 30 for h. 7 Solve 150*j + 4025 = 325*j for j. 23 Solve -4*c + 29308 - 29364 = 0 for c. -14 Solve -2320 = 157*c + 192 for c. -16 Solve -67*r + 30*r = 54*r + 1547 for r. -17 Solve -124 = 131*a - 124*a - 19 for a. -15 Solve 0 = 76*q - 10*q + 220 + 176 for q. -6 Solve -106 + 108 = -46*n - 458 for n. -10 Solve 0*x + 7*x + 113 = 1 for x. -16 Solve 19*m - 7 - 73 = 3*m for m. 5 Solve 0 = -50*s + 426 + 124 for s. 11 Solve -40*g - 9*g = -881 + 440 for g. 9 Solve 18072 = 66*p - 1070*p for p. -18 Solve -798 = -2*o - 810 for o. -6 Solve 9*h + 9*h - 10*h = -32 for h. -4 Solve 25*v + 16 = 316 for v. 12 Solve 38*h + 390 - 5 = -185 for h. -15 Solve 0 = 42*q - 164 + 464 + 330 for q. -15 Solve 0 = 443*k - 499*k - 672 for k. -12 Solve 3*u - 17*u - 260 = 12*u for u. -10 Solve -13024 = -60*h - 754*h for h. 16 Solve -272*m - 756 = 4*m - 5172 for m. 16 Solve 297*l + 7 = 290*l for l. -1 Solve -40*d - 445 = -165 for d. -7 Solve 19*v - 102 = 22*v - 20*v for v. 6 Solve 38*u = 13*u - 125 for u. -5 Solve 0 = -40*r + 4*r - 60*r + 960 for r. 10 Solve 0 = -12*x - 2573 + 2321 for x. -21 Solve -62*u = -191*u + 2064 for u. 16 Solve 640 = -28*j - 43*j + 7*j for j. -10 Solve 0*a - 3*a - 53*a = -56 for a. 1 Solve -9408 = 121*u + 271*u for u. -24 Solve -4*p + 79*p - 762 = -52*p for p. 6 Solve 210*c - 11032 + 33752 = -358*c for c. -40 Solve -6358 = 17*c - 6358 for c. 0 Solve -58*q - 381 = 141 for q. -9 Solve 32*j + 191 + 53 = -12 for j. -8 Solve 4*c + 0*c - 18*c + 56 = 0 for c. 4 Solve -7956*l + 7949*l - 63 = 0 for l. -9 Solve 249 + 24724 = -1299*b - 622*b for b. -13 Solve -8*i - 424 = 98*i for i. -4 Solve 540 = 1352*i - 1292*i for i. 9 Solve -37*v + 93 = -240 for v. 9 Solve 0 = -154*x + 2276 + 496 for x. 18 Solve -59*g = 462 + 246 for g. -12 Solve 585 = -28*k - 17*k for k. -13 Solve 17*u + 37 + 35 = 21 for u. -3 Solve -35 = -7*v + 14 for v. 7 Solve -522 = -29*p + 392 - 247 for p. 23 Solve 118*g - 581 = 89*g + 318 for g. 31 Solve -22*b + 1995 = 1885 for b. 5 Solve -657*
{ "pile_set_name": "DM Mathematics" }
te the greatest common factor of z and w. 4 Let v(y) = y**2 - 5*y + 5. Let b be v(6). Calculate the highest common factor of 77 and b. 11 Let p(s) = 4*s**2 + 7*s - 9. Let v be p(6). Suppose -2*n = -5*n - 306. Let i = n + v. Calculate the highest common factor of 30 and i. 15 Let i(z) = 3*z**2 - 3*z. Let o be i(2). Calculate the greatest common divisor of 9 and o. 3 Let r(y) = y**3 + 2*y**2 - 5*y + 4. Let m be r(2). What is the greatest common divisor of 230 and m? 10 Let f = 32 - 12. Let x be 1*-2 - (-15)/3. Suppose 0 = 4*u + 4, x*d - 5*u - 81 = 14. Calculate the highest common factor of f and d. 10 Suppose -2*f = -o - 2, -5 - 2 = -f - o. Let s be (-4 + f)/(1/(-2)). Calculate the greatest common divisor of 18 and s. 2 Let j(i) = 42*i**3 - 1. Let f be j(1). Let n = f + -21. Calculate the highest common divisor of n and 60. 20 Suppose 3*t + 2 = 2*t. Let a be (-2)/t + (1 - -28). What is the greatest common factor of a and 20? 10 Suppose -2*k - 25 = -89. What is the highest common divisor of 4 and k? 4 Let a(g) = g**3 + 3*g**2 - 5*g + 5. Let h be a(2). What is the highest common divisor of 45 and h? 15 Suppose 2*u + 18 = 7*u + 2*c, -2*u + 12 = 2*c. Suppose 0 = -3*x + 3*o - 6, 3*x + 0*o + 2 = u*o. What is the highest common factor of x and 10? 2 Let c = 116 + -32. Calculate the greatest common divisor of 12 and c. 12 Suppose -v = -2*l + 93, 2*v = -1 + 11. Suppose l = 5*b - 31. Calculate the greatest common divisor of b and 144. 16 Let y be (-6 - (-3)/1) + 14. Let c be 2*62/4 - -2. What is the greatest common factor of c and y? 11 Let h = -20 - -23. Let x be 45 + (8 - 2 - h). What is the highest common divisor of x and 72? 24 Let g(o) = o**2 - 5*o + 7. Let f be g(5). Calculate the highest common factor of f and 49. 7 Let d(p) = -p**3 - 9*p**2 + 4*p - 10. Let m be d(-10). Let i = 13 - 3. Calculate the greatest common divisor of i and m. 10 Suppose 0 = -5*y + 10, -r - 18 = 5*y - 54. Calculate the highest common factor of 156 and r. 26 Suppose 2*z = -4*g + 232, -4 = -g - 0*g. What is the highest common divisor of z and 12? 12 Let s = -8 - -9. Suppose 5*v + 21 = s. Let w be ((-22)/4)/(v/8). What is the highest common divisor of w and 11? 11 Suppose -5*t + 4*n = -244, -t + 17*n + 44 = 21*n. What is the highest common divisor of 4 and t? 4 Suppose -5*c + 48 = 3*c. What is the greatest common divisor of c and 4? 2 Let m be -1 + (26 + 0)*-1. Let f = 47 + m. What is the greatest common factor of 50 and f? 10 Let p = -5 - -9. Suppose -71 - 25 = -p*x. Suppose 48 = 4*j + 3*n, j - 5*n = 5*j - 48. What is the highest common factor of j and x? 12 Let v(y) be the third derivative of 0*y + 0 + 1/6*y**3 + 2*y**2 - 119/24*y**4. Let q be v(-1). Calculate the highest common factor of 15 and q. 15 Suppose -2*q + 55 = -q. Suppose 0 = -2*v + 41 + 3. What is the greatest common divisor of q and v? 11 Suppose -3*o + 4*x + 32 = 0, o - 3 = -o - x. Let d(r) = r**2 + 11*r - 24. Let m be d(-13). Calculate the greatest common divisor of m and o. 2 Let g = 35 + 145. Suppose -2*q + g = q. What is the highest common divisor of q and 15? 15 Let x = -34 + 58. Let n = x + 31. Let w = n - 25. What is the greatest common divisor of 20 and w? 10 Let f = -19 + 27. Calculate the greatest common divisor of f and 88. 8 Suppose -41 = -2*k + 5*x + 109, -4*x - 8 = 0. What is the highest common factor of 28 and k? 14 Let s(v) = v**2 + 2*v - 16. Let t be s(6). Suppose 15 = 3*b, -q + 4*b + 76 = 2*q. What is the highest common divisor of q and t? 32 Let b be (-836)/(-26) + 15/(780/(-8)). Calculate the highest common divisor of b and 72. 8 Let l be -87*(2 + (-21)/9). Suppose 0 = -3*z + l + 1. Calculate the highest common divisor of z and 100. 10 Let p = 15 - -1. Let q = p - 12. Calculate the highest common divisor of q and 12. 4 Suppose -4*t + 34 = 2. What is the greatest common factor of 64 and t? 8 Let k = 83 - 69. What is the highest common divisor of 70 and k? 14 Let x(n) = -n + 13. Let w be x(-9). Calculate the highest common divisor of 44 and w. 22 Let t be (18 + 0)/(2/5). Calculate the greatest common divisor of t and 5. 5 Suppose 3*q - 5*r - 15 - 29 = 0, -36 = -4*q + r. Let d be ((-12)/(-20) - 0)*5 + 5. What is the greatest common factor of d and q? 8 Let x be ((-8)/(-6))/(1/3). Suppose -5*s + 59 = 4*m, x*m = 3*s - 0*m - 29. Let k = 73 - 40. What is the greatest common factor of k and s? 11 Let b = -26 - -40. Suppose -m - 3*w = -8, 2*m = -5*w + 4*w + 6. Suppose 2*g = -m*g + 280. What is the greatest common divisor of b and g? 14 Let t be ((-34)/(-8))/((-4)/(-1*32)). What is the highest common factor of t and 102? 34 Let y(x) = -x + 9. Let l be y(7). Suppose l*c + c = 153. Let h(w) = -17*w. Let v be h(-1). Calculate the greatest common divisor of v and c. 17 Let p(n) be the first derivative of n**4/4 + n**2/2 + n + 1. Let k be p(3). Let i = k - 22. Calculate the greatest common divisor of i and 99. 9 Let s = 45 - 18. What is the highest common factor of s and 27? 27 Let z = 90 - 60. What is the highest common divisor of z and 15? 15 Let v be (4/10)/(3/480). What is the greatest common divisor of 16 and v? 16 Let p be 17/(-5)*-1*5. Calculate the highest common divisor of p and 85. 17 Suppose 0 = 2*v - 2*g - 18, -2*v - 2*v + 6 = 2*g. Suppose 0 = -s - 4*s + 160. What is the highest common divisor of s and v? 4 Let x be 76/(-5)*25/(-10). Calculate the highest common divisor of x and 57. 19 Let v(j) = -j - 10. Let c be v(-10). Suppose -14 = -3*m + h, -4*h + h + 3 = c. Calculate the greatest common factor of 55 and m. 5 Let a be -13 + 101 + (-1 - -3). Let z = 83 + -47. Calculate the highest common factor of z and a. 18 Let b = 223 + -80. What is the highest common factor of b and 11? 11 Let i(x) = -2*x + 1. Suppose -5*l = -5*w - 0*w + 5, 30 = 2*w + 5*l. Let k be i(w). Let q be 0 + -3 + 1 - k. Calculate the highest common factor of 49 and q. 7 Let l(t) = -t**2 + 12*t + 6. Let h be l(8). Suppose u - 1 = 18. What is the greatest common divisor of u and h? 19 Suppose -70 = -2*q - 4*i, 2*q + 5*i - 6 = 67. Let h = q - 26. Calculate the highest common factor of h and 3. 3 Suppose 2*h - 7*h + 2*p = -58, 2*h + p - 16 = 0. Suppose 5*b - h*b = -1300. Calculate the greatest common divisor of b and 26. 26 Let i be (-3 + 0)/((-18)/24). Calculate the highest common divisor of i and 12. 4 Let l(d) = 12*d - 6. Let t(w) = 4*w - 2. Let c(k) = 2*l(k) - 7*t(k). Let n be c(-6). Calculate the highest common divisor of n and 104. 26 Suppose -k = 1 + 3. Let j be k/(-10) + 66/10. What is the highest common divisor of j and 63? 7 Suppose 4*u - 16 = -2*i, -2*i + 10 = 4*u - 3*u. Let y be (66/(i/(-2)))/(-1). Suppose 10*c - 260 + 40 = 0. What is the highest common factor of y and c? 11 Let d be 2/(-1) + (-9 - -29). Let v be (-314)/(-7) - 5/(-35). Calculate the highest common factor of d and v. 9 Suppose 3*l - 150 = -3*t, 3*t - 2*l = -3 + 158. Suppose -i = 4*i - 170. What is the highest common divisor of t and i? 17 Let f(i) = -i + 14. Let u be f(5). Let t be 23/2 - u/(-6). Suppose 2*k + 3*w - 88 = 114, k - 4*w = 112. What is the highest common divisor of t and k? 13 Let m(r) = r**3 - 3*r**2 + r - 2. Let a be m(4). Calculate the greatest common factor of 18 and a. 18 Let q(z) = z**3 + 11*z**2 - 11*z + 16. Let l be q(-12). What is the highest common divisor of l and 20? 4 Let z(b) = b**2 + b + 26. Let i be z(0). Let s(v) = v**2 - 2*v - 6. Let o be s(6). Let t = i - o. Calculate the highest common divisor of t and 2. 2 Let k(z) = z + 18. Let t be k(-8). Let o be (116 - 6) + -2 + 2. What is the highest common divisor of o and t? 10 Let u = 320 - 302. Suppose -2*n + 2 = -n. Suppose -n*w = -f - 74, -w + 5*f + 9 + 37 = 0. What is the greatest common factor of w and u? 18 Suppose -44 = -2*a + 34. Suppose j + 4 = a. Calculate the greatest common divisor of j and 5. 5 Let k = -7 - -13. Let t = 0 - -1. Let m(j) = 47*j + 1. Let r be m(t). What is the greatest common divisor of r and k? 6 Let l(a) = -20*a - 10. Let q be l(-3). Suppose 5*p = -4*i - 0*i + 475, -5*i + 650 = -5*p. Calculate the greatest common factor of i and q. 25 Suppose 0 = 11*l - l - 560. Calculate the greatest common factor of l and 8. 8 Let j = 75 + -61. What is the greatest common divisor of j and 49? 7 Let a(y) = -y**3 + 9*y**2 - 1. Let m be a(8). Suppose 3*t + 4*v +
{ "pile_set_name": "DM Mathematics" }
c What is the nearest to -1 in 0.02, -0.15, 5, -0.1, -5? -0.15 Which is the nearest to 13? (a) 12/11 (b) 0.5 (c) 27 a What is the nearest to -29 in -1306, -5, 0.2? -5 What is the nearest to -0.1 in 7/4, 15, 0.7? 0.7 Which is the nearest to -3/2? (a) 3 (b) -23/5 (c) -2 c Which is the closest to 2/7? (a) -22 (b) 4 (c) -0.123 c What is the nearest to 2/7 in 0.4, 39/4, 4, 4/7? 0.4 What is the closest to -0.1 in 3, 19, -1, -1/5? -1/5 Which is the closest to 2/7? (a) 0 (b) 17 (c) -5 (d) -1.2 (e) 1 a Which is the closest to 0.19? (a) 1.1 (b) -5 (c) 41 a Which is the closest to 9? (a) 471 (b) -0.5 (c) -0.2 (d) 1/3 (e) -3 d Which is the closest to 3? (a) 0.5 (b) -0.1 (c) 0.08 (d) -1 a What is the nearest to -2/9 in 0.05, 1, 114, -2? 0.05 Which is the nearest to 0.24? (a) 3 (b) 5 (c) 0.5 (d) -1.4 c Which is the closest to -52? (a) 0.1 (b) 4 (c) -222 a What is the nearest to -2/13 in -1, -0.3, 0.061, -1/3? -0.3 Which is the nearest to 0.2? (a) 218 (b) -1 (c) -1/2 c What is the nearest to 6/7 in 4, 0.3, -1/9, -0.1, 0? 0.3 What is the closest to 1/4 in 46, 0.07, -0.4, 0.059? 0.07 What is the nearest to -2/5 in 39.2, 28, -0.3? -0.3 Which is the closest to -1.5? (a) 68/7 (b) -54 (c) 0.3 c Which is the nearest to 3? (a) -1/5 (b) -0.41 (c) 2/5 (d) -4/3 c What is the closest to -0.1 in 9, 0.77, 0.7? 0.7 Which is the closest to -2? (a) -0.2 (b) -5 (c) 2/17 (d) 3.9 (e) -0.4 e What is the nearest to -3 in -10, -3, -9/4, -8/7, -2/19? -3 Which is the closest to -0.02? (a) 62/3 (b) 13 (c) -2 (d) -5 c What is the closest to 0.1 in -1, 0.04, 23, 1, -15? 0.04 Which is the nearest to -2/9? (a) -15 (b) 2/19 (c) -2 (d) -3 b Which is the nearest to -1/6? (a) -1 (b) -2/9 (c) 0.24 (d) -1/7 (e) -3/5 d What is the closest to 7/8 in -0.02, 0.2, 2/13? 0.2 Which is the nearest to -29? (a) 7 (b) 9 (c) 2 c What is the nearest to -0.2 in 1/3, -1/2, -1/8, -24/5? -1/8 Which is the nearest to 0.3? (a) -3 (b) -5 (c) -0.2 (d) -2/2259 d What is the nearest to 520 in 0.4, -12, -0.2, -2/5? 0.4 What is the nearest to -0.3 in -1/4, 16, 2, 124? -1/4 Which is the nearest to -23/2? (a) 5 (b) 0.04 (c) -2/5 (d) -0.3 c Which is the closest to -1? (a) -28.7 (b) -45 (c) -0.3 (d) 1/9 c What is the nearest to 55 in -4/9, -0.3, -2, -1? -0.3 Which is the closest to 8/163? (a) -17/5 (b) -3/5 (c) -3 b What is the closest to 19/4 in 1, 471, -2/7? 1 What is the nearest to 3 in -5, -504, -1/2, -2, 3? 3 Which is the nearest to 0.09? (a) 2 (b) -0.5 (c) 2/9 (d) 116 c Which is the closest to -16.8? (a) -3 (b) 0 (c) -1/2 (d) 2/5 (e) -0.2 a What is the nearest to -547 in 0.67, 5, 0.5, 1? 0.5 Which is the closest to 289? (a) 0.1 (b) 1 (c) 0.06 b What is the closest to 1/4 in -1609, -5, 4, 5, -4/3? -4/3 What is the nearest to -29 in 0, 0.274, 0.1, -2? -2 Which is the closest to 2/5? (a) 5/6 (b) -4 (c) -2.105 a Which is the closest to -21/2? (a) -2 (b) 0.3 (c) -1 (d) 180 (e) -0.3 a What is the closest to -193 in -1/5, -1/41, -2? -2 What is the nearest to 1 in 3, -5, -2/13, -33, -2666? -2/13 Which is the closest to 0.021? (a) 0.4 (b) 0.078 (c) 3/2 (d) 5 b Which is the closest to -0.1? (a) -2 (b) 5/12767 (c) 0 (d) -5 (e) 4/7 c Which is the closest to 0.1? (a) 2/15 (b) -0.03 (c) -0.018 (d) -10 (e) 0.01 a Which is the nearest to -0.5? (a) 0.35 (b) 38 (c) -9/4 a What is the closest to -8/9 in 0, -4, 3/41, 0.4? 0 Which is the closest to 1? (a) -1 (b) -3 (c) -16 (d) -2 a What is the nearest to -785/6 in -0.1, 16, 4? -0.1 Which is the nearest to -7.3? (a) 4/5 (b) -3 (c) 3 (d) -1/69 (e) -1/9 b Which is the nearest to -1? (a) 82 (b) 13/2 (c) 1 (d) 3/4 (e) -0.3 e Which is the closest to -15705? (a) -2/3 (b) -4 (c) 4 b Which is the nearest to 0.1? (a) 1 (b) 0.09 (c) 11 (d) -3 (e) -1/3 b Which is the closest to 2? (a) 24 (b) -0.5 (c) 1/2 (d) 3 (e) -2/3 d What is the nearest to 0.1 in 0.007, -1/45, -0.2, 5/2? 0.007 Which is the nearest to 2? (a) -12 (b) -4/31 (c) 0.3 (d) -1 c Which is the closest to -0.3? (a) 4 (b) -1.43 (c) 1 (d) -5 b Which is the nearest to 4? (a) -0.3 (b) 41 (c) -1.1 a Which is the closest to 1? (a) -2/5 (b) -3 (c) 56.09 a What is the nearest to -1/108 in -4/7, 2, 54, -0.5? -0.5 Which is the closest to -0.3? (a) 125/3 (b) 4/9 (c) -7/5 b Which is the nearest to -0.5? (a) -1 (b) 0.3 (c) -53 a Which is the closest to -2003? (a) 6 (b) 1 (c) 5 (d) 0.1 (e) -0.4 e Which is the closest to -6? (a) -5 (b) -0.5 (c) 427 a Which is the closest to 4/11? (a) -0.4 (b) -5 (c) 7 (d) 1/44 d What is the nearest to 1 in 4171, -32, 1? 1 What is the nearest to 13 in -4, -25, -3? -3 What is the closest to 0.1 in -1.1, 2, 0.9, 0.029? 0.029 What is the nearest to 1/21 in 0.4, -3.6, -1, -2/5, 162? 0.4 What is the nearest to -18 in -5, 2, -97/5, 10? -97/5 Which is the nearest to -0.1? (a) 0.4 (b) -1/458 (c) 5 (d) -9 b Which is the nearest to -4? (a) 681 (b) 5 (c) -6/31 (d) -2/7 d What is the nearest to -1/2 in 2/19, -3/7, -26, -2.5, 2/27? -3/7 Which is the closest to -1? (a) -5 (b) 1/122 (c) 18837 b Which is the closest to -0.2? (a) -6/7 (b) 5 (c) -36774 a What is the closest to 1/8 in 0.3, -0.09, -23? 0.3 Which is the nearest to -1? (a) -16.52 (b) -4 (c) -3 (d) -1 d Which is the closest to -0.6? (a) -0.3 (b) -3 (c) 2 (d) -241 a Which is the closest to 2/5? (a) -1000 (b) -0.1 (c) -2 (d) 0.2 d Which is the nearest to -1/4? (a) -1/8 (b) -0.2 (c) 5 (d) -14787 b Which is the closest to -1/3? (a) 0.3 (b) -1 (c) -3/1085 (d) 1/4 (e) -1/5 e What is the closest to 28 in 0, 22, 3/2? 22 Which is the closest to 2640? (a) 0.1 (b) 0 (c) 3 (d) -0.4 (e) 5 e What is the nearest to -2/1825 in 5/3, -2, 0, -3? 0 What is the closest to 0 in 12, 3, 0, -0.052, 1.28? 0 Which is the nearest to 0.0623? (a) 3/2 (b) -0.5 (c) 29 b Which is the nearest to -0.08? (a) -5 (b) 0 (c) -8 (d) -3/13 b What is the nearest to -1 in -0.1, -11, 22? -0.1 Which is the nearest to 2/11? (a) 340/9 (b) -5/4 (c) -4 (d) -0.2 d Which is the closest to 1? (a) 0.04 (b) 5 (c) 153/7 (d) -0.07 a What is the closest to 4 in -2/87, -2/13, 7/3, -0.1, 136? 7/3 Which is the closest to 4/3? (a) 30 (b) -1123 (c) -2 c Which is the nearest to -1/46? (a) 1/6 (b) 0 (c) -4/5 b Which is the closest to 13? (a) 3/4 (b) -0.079 (c) 0.1 a What is the closest to -9/4 in -17, -5, -2/3? -2/3 What is the closest to -19 in 5, 0.19, -1/4, -3? -3 What is the closest to 2 in 0.3, 2/15, 1, -1659? 1 Which is the closest to -5? (a) 0 (b) -5 (c) 31 (d) 2 (e) -0.004 b What is the closest to 0 in -1/3, 1, -10, -136? -1/3 Which is the nearest to -24? (a) -2/9 (b) 14 (c) -0.4 (d) -0.5 d What is the closest to 2 in -5/173, 1.31, -1/5? 1.31 What is the closest to 102 in 4, 10/11, 0? 4 Which is the nearest to -208? (a) -12 (b) -0.5 (c) 1/3 a Which is the nearest to -2/23? (a) -0.3 (b) -2/7 (c) 0.1 (d) -6/5 (e) -0.1414 e Which is the nearest to -0.107? (a) 4 (b) 0.1 (c) -1/214 (d) 6 c What is the closest to -1/4 in -4, -2, -3/4, 20460? -3/4 Which is the nearest to 2/3? (a) -5 (b) -0.2 (c) 3/128 (d) -0.06 c What is the closest to 1/2 in 39, -1/2, -1/9? -1/9 Which is the nearest to 53? (a) 2.5 (b) -2/9 (c) 0.1 (d) -5 a What is the nearest to 0.1 in 3/4, 5, 1, -120? 3/4 What is the nearest to 0 in 2, -3, -4, 13? 2 Which is the nearest to 0? (a) 367 (b) -3 (c) 1/6 c What is the nearest to -0.2 in -0.1, -3/619, -0.5? -0.1 What is the closest to -0.1 in -654/25, -4/7, -1, 0.3? 0.3 What is the nearest to 1 in -0.056, 3/2, -0.05, -64, 0.4? 3/2 What is the nearest to 1 in 4, 0.5, -139, 3? 0.5 What is the closest to -35 in -0.2, -2/3, 204? -2/3 What is the nearest to -270/13 in 2, 41, 3? 2 Which is the closest to -6/5? (a) -13 (b) -0.1 (c) 3 b What is the nearest to 1/3 in -3/4, -1/5, -11, 0.01? 0.01 Which is the nearest to 0.19? (a) 50 (b) 4/3 (c) 0.9 c What is the nearest to 4 in -5, -2/9, -477/14, 2/11, -3? 2/11 Which is the nearest to 2? (a) -4/3 (b) -134 (c) -2 a Which is the nearest to -1/9? (a) 5 (b) 3/4 (c) 0.2 (d) -3 (e) 2/7 c Which is the closest to 2/3? (a) -1.5785 (b) 4 (c) -4 (d) -2/3 (e) 0.4 e What is the closest to -2 in 0, 0.4, 3/13, 10
{ "pile_set_name": "DM Mathematics" }
35, 2199, 563? -1636*k + 5471 What is the f'th term of -5629348, -5629346, -5629344, -5629342, -5629340, -5629338? 2*f - 5629350 What is the a'th term of 11835, 10325, 8817, 7311? a**2 - 1513*a + 13347 What is the k'th term of -51892, -52031, -52168, -52303, -52436, -52567? k**2 - 142*k - 51751 What is the j'th term of -129877, -519313, -1168309, -2076865, -3244981, -4672657, -6359893? -129780*j**2 - 96*j - 1 What is the r'th term of -32555, -66552, -100549, -134546, -168543, -202540? -33997*r + 1442 What is the g'th term of -49946, -399342, -1347708, -3194528, -6239286, -10781466, -17120552, -25556028? -49914*g**3 - g**2 + 5*g - 36 What is the s'th term of -466, -795, -1112, -1423, -1734? -s**3 + 12*s**2 - 358*s - 119 What is the q'th term of 639992, 639481, 638970, 638459? -511*q + 640503 What is the z'th term of 1999114, 3998221, 5997328, 7996435? 1999107*z + 7 What is the p'th term of 1854126293, 1854126294, 1854126295, 1854126296, 1854126297, 1854126298? p + 1854126292 What is the t'th term of -1730869, -1730687, -1730185, -1729201, -1727573, -1725139? 27*t**3 - 2*t**2 - t - 1730893 What is the s'th term of 176, 306, 696, 1478, 2784, 4746? 22*s**3 - 2*s**2 - 18*s + 174 What is the d'th term of 142059, 278229, 414411, 550611, 686835, 823089, 959379, 1095711? d**3 + 136163*d + 5895 What is the d'th term of -12615, -24712, -36795, -48864, -60919, -72960, -84987? 7*d**2 - 12118*d - 504 What is the j'th term of 28409, 57382, 86357, 115334, 144313, 173294? j**2 + 28970*j - 562 What is the t'th term of -1547079, -3094164, -4641251, -6188340, -7735431, -9282524? -t**2 - 1547082*t + 4 What is the g'th term of 39703, 39463, 39219, 38971, 38719? -2*g**2 - 234*g + 39939 What is the f'th term of 8621, 8409, 8197, 7985, 7773, 7561? -212*f + 8833 What is the j'th term of 708, 1086, 1464, 1842? 378*j + 330 What is the f'th term of -1439, -1650, -1867, -2090? -3*f**2 - 202*f - 1234 What is the x'th term of -134796, -134828, -134860? -32*x - 134764 What is the h'th term of 3059525, 6119047, 9178591, 12238169, 15297793, 18357475? 2*h**3 - h**2 + 3059511*h + 13 What is the h'th term of 366286, 366894, 367908, 369328, 371154? 203*h**2 - h + 366084 What is the l'th term of 1142, 2728, 4748, 7196, 10066, 13352, 17048? -l**3 + 223*l**2 + 924*l - 4 What is the i'th term of -9584, -76180, -256950, -608984, -1189372? -9515*i**3 + 3*i**2 - 72 What is the w'th term of -900041, -900114, -900183, -900248? 2*w**2 - 79*w - 899964 What is the q'th term of -39330, -78718, -118106, -157494, -196882, -236270? -39388*q + 58 What is the n'th term of -12553, -12590, -12627, -12664, -12701, -12738? -37*n - 12516 What is the d'th term of 466, 593, 832, 1183, 1646, 2221, 2908? 56*d**2 - 41*d + 451 What is the j'th term of -115, -380, -631, -862, -1067, -1240, -1375? j**3 + j**2 - 275*j + 158 What is the o'th term of 27698286, 55396572, 83094858, 110793144, 138491430? 27698286*o What is the d'th term of -179229, -360031, -540833, -721635, -902437, -1083239? -180802*d + 1573 What is the l'th term of -117779, -241360, -364941, -488522? -123581*l + 5802 What is the o'th term of -3616, -14374, -32312, -57430, -89728, -129206? -3590*o**2 + 12*o - 38 What is the c'th term of -16978570, -33957125, -50935680, -67914235, -84892790, -101871345? -16978555*c - 15 What is the n'th term of 1491295, 1491373, 1491451, 1491529, 1491607, 1491685? 78*n + 1491217 What is the c'th term of -94209, -188408, -282607, -376806, -471005, -565204? -94199*c - 10 What is the x'th term of 19659, 78416, 176361, 313512, 489887? 3*x**3 + 19576*x**2 + 8*x + 72 What is the w'th term of -500926, -500558, -500192, -499828, -499466? -w**2 + 371*w - 501296 What is the o'th term of -33268, -65818, -98368, -130918, -163468, -196018? -32550*o - 718 What is the y'th term of 53379, 53428, 53511, 53628? 17*y**2 - 2*y + 53364 What is the b'th term of -4334, -34872, -117766, -279194, -545334? -4363*b**3 + 3*b + 26 What is the w'th term of -24949, -48434, -71919, -95404, -118889? -23485*w - 1464 What is the q'th term of 93636, 749054, 2528078, 5992512, 11704160, 20224826, 32116314? 93634*q**3 - q**2 - 17*q + 20 What is the k'th term of -463431, -926737, -1390043, -1853349? -463306*k - 125 What is the p'th term of -3049, -10412, -22531, -39400, -61013? p**3 - 2384*p**2 - 218*p - 448 What is the c'th term of 3852, 16231, 37148, 66603, 104596, 151127? 4269*c**2 - 428*c + 11 What is the v'th term of 713, 1597, 2537, 3539, 4609, 5753, 6977, 8287? v**3 + 22*v**2 + 811*v - 121 What is the z'th term of -425766, -851894, -1278022, -1704150? -426128*z + 362 What is the l'th term of 216641, 216625, 216613, 216605? 2*l**2 - 22*l + 216661 What is the l'th term of -43635, -43818, -44001? -183*l - 43452 What is the u'th term of 39522, 316884, 1069712, 2535738, 4952694, 8558312, 13590324, 20286462? 39622*u**3 + u**2 + 5*u - 106 What is the w'th term of 51807831, 51807832, 51807833, 51807834? w + 51807830 What is the r'th term of 9776, 39193, 88256, 156965, 245320, 353321? 9823*r**2 - 52*r + 5 What is the n'th term of 267644, 536053, 804462, 1072871, 1341280, 1609689? 268409*n - 765 What is the f'th term of -64813903, -129627811, -194441719? -64813908*f + 5 What is the y'th term of 4468462, 4468452, 4468442? -10*y + 4468472 What is the z'th term of -4257968, -4257969, -4257970, -4257971, -4257972, -4257973? -z - 4257967 What is the j'th term of -1933, -3790, -5515, -7042, -8305, -9238, -9775? 11*j**3 - 1934*j - 10 What is the o'th term of 47570616, 95141231, 142711846, 190282461? 47570615*o + 1 What is the d'th term of 411, 1116, 2273, 3882, 5943, 8456, 11421? 226*d**2 + 27*d + 158 What is the p'th term of 25194, 26834, 28474, 30114? 1640*p + 23554 What is the k'th term of 5776, 11499, 17224, 22951, 28680, 34411, 40144? k**2 + 5720*k + 55 What is the m'th term of 45022662, 45022671, 45022686, 45022707, 45022734? 3*m**2 + 45022659 What is the s'th term of -59574, -57766, -55958, -54150? 1808*s - 61382 What is the z'th term of -3807, -9620, -25405, -56148, -106835? -831*z**3 + 4*z - 2980 What is the t'th term of -10524561, -21049125, -31573691, -42098259, -52622829, -63147401, -73671975? -t**2 - 10524561*t + 1 What is the y'th term of -85490, -85476, -85456, -85430, -85398, -85360, -85316? 3*y**2 + 5*y - 85498 What is the b'th term of 6049003, 12098010, 18147017? 6049007*b - 4 What is the m'th term of 87870806, 87870805, 87870806, 87870809, 87870814, 87870821, 87870830? m**2 - 4*m + 87870809 What is the y'th term of 101425, 101443, 101471, 101509, 101557, 101615, 101683? 5*y**2 + 3*y + 101417 What is the z'th term of -2318, -3214, -4084, -4934, -5770, -6598? -z**3 + 19*z**2 - 946*z - 1390 What is the u'th term of 25530648, 25530654, 25530660? 6*u + 25530642 What is the p'th term of -55123, -86005, -116901, -147817, -178759? -p**3 - p**2 - 30872*p - 24249 What is the f'th term of 8333, 17943, 28811, 40931, 54297, 68903, 84743? -f**3 + 635*f**2 + 7712*f - 13 What is the x'th term of 49515, 99643, 149775, 199911? 2*x**2 + 50122*x - 609 What is the a'th term of -131646, -131500, -131104, -130332, -129058, -127156? 21*a**3 - a**2 + 2*a - 131668 What is the k'th term of -10124667, -10124666, -10124665, -10124664, -10124663, -10124662? k - 10124668 What is the u'th term of 13702620, 54810447, 123323492, 219241755, 342565236, 493293935, 671427852? 13702609*u**2 + 11 What is the n'th term of 860, 6277, 20942, 49469, 96472? 769*n**3 + 10*n**2 + 4*n + 77 What is the j'th term of -695476, -695415, -695354, -695293, -695232? 61*j - 695537 What is the y'th term of 555319, 1110626, 1665921, 2221204, 2776475, 3331734, 3886981? -6*y**2 + 555325*y What is the o'th term of 93764, 94548, 95332, 96116? 784*o + 92980 What is the o'th term of -12999137, -12999133, -12999129, -12999125? 4*o - 12999141 What is the w'th term of 4651, 16220, 34705, 60106, 92423, 131656, 177805? 3458*w**2 + 1195*w - 2 What is the v'th term of 40848, 92393, 143940, 195489, 247040? v**2 + 51542*v - 10695 What is the s'th term of -5494, -20755, -46184, -81775, -127522, -183419? s**3 - 5090*s**2 + 2*s - 407 What is the n'th term of -218376, -436715, -655054? -218339*n - 37 What is the m'th term of -827142, -1654493, -2481844, -3309195, -4136546, -4963897? -827351*m + 209 What is the l'th ter
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from cjcbabjbgjj. 1/165 Calculate prob of sequence sh when two letters picked without replacement from {s: 4, u: 1, e: 4, k: 6, h: 1}. 1/60 Calculate prob of sequence zzb when three letters picked without replacement from {b: 7, z: 12}. 154/969 Two letters picked without replacement from vvvvvlllvvvlvvlvvvv. Give prob of sequence vv. 91/171 What is prob of sequence bb when two letters picked without replacement from xxxxbxxbxx? 1/45 Two letters picked without replacement from {x: 2, h: 1, s: 2, m: 4}. Give prob of sequence mx. 1/9 Calculate prob of sequence as when two letters picked without replacement from {s: 2, a: 6, u: 4}. 1/11 Two letters picked without replacement from crevcr. What is prob of sequence vr? 1/15 Two letters picked without replacement from {q: 11, p: 2}. What is prob of sequence pq? 11/78 What is prob of sequence ffc when three letters picked without replacement from pvcpfsfr? 1/168 Three letters picked without replacement from jjigjggjj. Give prob of sequence jgg. 5/84 Calculate prob of sequence zf when two letters picked without replacement from {i: 1, z: 1, f: 7}. 7/72 Calculate prob of sequence ab when two letters picked without replacement from {a: 2, z: 1, k: 1, b: 1}. 1/10 Four letters picked without replacement from {b: 2, s: 7}. Give prob of sequence sbss. 5/36 Three letters picked without replacement from gbbghbbggbgghbg. Give prob of sequence ggh. 2/65 What is prob of sequence eei when three letters picked without replacement from deddddddei? 1/360 Three letters picked without replacement from nnqqqnnn. Give prob of sequence nnn. 5/28 Calculate prob of sequence ca when two letters picked without replacement from {c: 1, p: 3, a: 6, t: 4}. 3/91 What is prob of sequence yyy when three letters picked without replacement from {f: 2, y: 5, s: 2, i: 3}? 1/22 What is prob of sequence mv when two letters picked without replacement from {y: 1, m: 8, v: 2, c: 4}? 8/105 Calculate prob of sequence cs when two letters picked without replacement from {e: 4, c: 3, s: 2, v: 1}. 1/15 Calculate prob of sequence cd when two letters picked without replacement from ccvcvvvccdvvcv. 3/91 Calculate prob of sequence sss when three letters picked without replacement from ssssssssss. 1 Two letters picked without replacement from rkmym. What is prob of sequence rm? 1/10 Calculate prob of sequence owm when three letters picked without replacement from {w: 1, m: 2, o: 4, d: 1, k: 3, g: 4}. 4/1365 Two letters picked without replacement from soo. Give prob of sequence oo. 1/3 What is prob of sequence ljl when three letters picked without replacement from jjllhlp? 2/35 What is prob of sequence bd when two letters picked without replacement from {o: 1, v: 1, q: 1, d: 1, b: 1}? 1/20 Three letters picked without replacement from vzvpzhr. Give prob of sequence vvz. 2/105 Calculate prob of sequence hp when two letters picked without replacement from {t: 4, h: 2, p: 7, m: 1, g: 1}. 1/15 Calculate prob of sequence obtd when four letters picked without replacement from {o: 1, b: 1, d: 1, r: 1, t: 1}. 1/120 Calculate prob of sequence zpzp when four letters picked without replacement from {p: 7, z: 4}. 7/110 What is prob of sequence yyy when three letters picked without replacement from oyoyyoyyyo? 1/6 What is prob of sequence nrr when three letters picked without replacement from dinirrr? 1/35 Two letters picked without replacement from sdssssssssvssss. What is prob of sequence dv? 1/210 Calculate prob of sequence ese when three letters picked without replacement from suuesuleuusuleyele. 5/408 What is prob of sequence zvz when three letters picked without replacement from {v: 1, z: 2, r: 2, j: 6, n: 5, p: 1}? 1/2040 Calculate prob of sequence ay when two letters picked without replacement from {m: 2, y: 2, l: 1, a: 2, n: 1}. 1/14 Three letters picked without replacement from tgutlum. Give prob of sequence tut. 2/105 Calculate prob of sequence cw when two letters picked without replacement from wqnwgcg. 1/21 Two letters picked without replacement from fifififq. Give prob of sequence iq. 3/56 Calculate prob of sequence dd when two letters picked without replacement from llldldldldllldlllll. 10/171 Calculate prob of sequence hs when two letters picked without replacement from {y: 11, s: 2, h: 6}. 2/57 Three letters picked without replacement from {r: 6, e: 1, l: 1, k: 2, a: 9}. Give prob of sequence lre. 1/969 Four letters picked without replacement from rgzxgzrxggzxxr. Give prob of sequence rxzr. 3/1001 Three letters picked without replacement from uaumhfmama. What is prob of sequence ahf? 1/240 What is prob of sequence ojjo when four letters picked without replacement from {o: 2, j: 3}? 1/10 Calculate prob of sequence sv when two letters picked without replacement from {x: 1, t: 2, v: 1, y: 1, c: 1, s: 1}. 1/42 Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}. 1 Two letters picked without replacement from {u: 5, l: 7}. What is prob of sequence ll? 7/22 Calculate prob of sequence fvx when three letters picked without replacement from {v: 2, x: 1, m: 1, r: 2, n: 1, f: 2}. 1/126 Calculate prob of sequence do when two letters picked without replacement from pcdpccudpdcdodruu. 5/272 Two letters picked without replacement from yyyyyyyyy. What is prob of sequence yy? 1 What is prob of sequence sm when two letters picked without replacement from {w: 1, s: 5, m: 3, v: 1}? 1/6 What is prob of sequence ssaa when four letters picked without replacement from {s: 2, a: 2, p: 5}? 1/756 What is prob of sequence igmq when four letters picked without replacement from {q: 4, v: 1, g: 3, m: 4, i: 1}? 2/715 Calculate prob of sequence na when two letters picked without replacement from {u: 1, p: 1, f: 1, a: 1, n: 1}. 1/20 Calculate prob of sequence ttr when three letters picked without replacement from rtrtrt. 3/20 Calculate prob of sequence tt when two letters picked without replacement from {t: 3, r: 7}. 1/15 Four letters picked without replacement from {v: 2, o: 8}. What is prob of sequence vvoo? 1/45 Two letters picked without replacement from {o: 1, f: 1, w: 1, j: 2}. What is prob of sequence jo? 1/10 Four letters picked without replacement from {o: 10, t: 4}. Give prob of sequence ooto. 120/1001 Calculate prob of sequence dw when two letters picked without replacement from {q: 5, d: 1, u: 3, w: 1}. 1/90 Calculate prob of sequence qx when two letters picked without replacement from xqxxqxx. 5/21 Three letters picked without replacement from vpzvpvvxvxv. What is prob of sequence zxv? 2/165 What is prob of sequence bh when two letters picked without replacement from bbhhhhhgglghb? 3/26 Two letters picked without replacement from {m: 1, f: 2, z: 2}. What is prob of sequence ff? 1/10 Three letters picked without replacement from ndznnrr. What is prob of sequence dnz? 1/70 Two letters picked without replacement from uxdryzyux. What is prob of sequence xx? 1/36 Two letters picked without replacement from {s: 2, z: 1, q: 1, t: 1}. What is prob of sequence ss? 1/10 Calculate prob of sequence pus when three letters picked without replacement from aazcussssssspsz. 4/1365 Calculate prob of sequence kk when two letters picked without replacement from {k: 1, v: 2}. 0 Calculate prob of sequence dhhz when four letters picked without replacement from {z: 2, h: 2, d: 10}. 5/3003 Calculate prob of sequence mv when two letters picked without replacement from {v: 3, m: 12, y: 3}. 2/17 What is prob of sequence ny when two letters picked without replacement from ysvsn? 1/20 Four letters picked without replacement from nnnnnnrnnnnrrnnnnnr. Give prob of sequence nrnn. 455/3876 Calculate prob of sequence qu when two letters picked without replacement from luoooussusluuqsus. 3/136 Calculate prob of sequence xzs when three letters picked without replacement from xxxxzzszs. 1/21 Two letters picked without replacement from {g: 1, f: 1, i: 5, l: 1, b: 2, u: 3}. Give prob of sequence iu. 5/52 Three letters picked without replacement from {u: 3, z: 3, g: 2, t: 1, x: 2, d: 4}. What is prob of sequence zgt? 1/455 Two letters picked without replacement from ppb. What is prob of sequence pb? 1/3 Calculate prob of sequ
{ "pile_set_name": "DM Mathematics" }
(-3))/(1/(-3)). Put 4, f, 3 in increasing order. f, 3, 4 Let c(p) = p**2 - 2*p + 2. Suppose g = -5*f - 17, -2*f = -g - g + 14. Let v be c(g). Suppose -13 = -v*q + 2. Sort q, -5, 7. -5, q, 7 Let z(o) = 2*o**2 + 72*o - 79. Let h be z(-37). Put -2, 10, h in descending order. 10, -2, h Let z(y) = -4*y - 26. Let b be z(-8). Put -0.21, b, 1 in descending order. b, 1, -0.21 Let l be 14 - (3 - 0/2). Suppose 5*u - 3*z = 17, 4*z - z = -u - l. Let i = -1 - u. Put -5/2, -0.2, i in decreasing order. -0.2, i, -5/2 Let r = -637 + 690. Sort r, 2, -1 in decreasing order. r, 2, -1 Suppose -5*m + 11 = -2*f, -2*m - 213*f + 14 = -209*f. Sort -2, 4, 119, m in descending order. 119, 4, m, -2 Suppose 0 = -5*l - 21 + 136. Suppose 17*y + 52 - 1 = 0. Put l, y, 4 in increasing order. y, 4, l Let m be 12/8*(-12)/(-9). Suppose -16*f = -5*f + 44. Sort f, m, 1 in ascending order. f, 1, m Let l = -4 - -18. Let h = l - 14.02. Let o = h - -1.02. Put 5, 0, o in decreasing order. 5, o, 0 Let p = -12 + 11.7. Let z = -105.8 + 106. Put p, z, -14 in ascending order. -14, p, z Let h = -51 - -52. Suppose 0 = -4*y - y + 4*v + 21, 2*v = -4*y + 22. Put -5, h, -3, y in descending order. y, h, -3, -5 Let a = 0.389 + -0.389. Put 0.5, -0.2, a in descending order. 0.5, a, -0.2 Let c be 1/(-4) - (370/(-52) - -6). Let m = 63/26 - 30/13. Let u = c - m. Sort -3/2, u, 0.13. -3/2, 0.13, u Let l be (-52)/910 - (-440)/1575. Sort 1/2, l, -5, 0.3 in decreasing order. 1/2, 0.3, l, -5 Let q = -29.4 - -29.2. Put 3/14, -2/3, q, 0.3 in descending order. 0.3, 3/14, q, -2/3 Let v be -1 + -2 + 1 - 2/(-1). Sort -9, 4, v in ascending order. -9, v, 4 Let v be (-12 + 10)/((-3)/(-24)*-2). Let a be -2 - (0 - -2 - 3). Let w = a - -2. Sort -3, w, v in ascending order. -3, w, v Let p be (30/(-75))/(1/(-10)). Suppose v = -2*v + 9. Sort -2, 2, v, p in decreasing order. p, v, 2, -2 Let b(z) = -z**3 + 4*z**2 + 9*z. Let h be b(-2). Put 2, 3, h in increasing order. 2, 3, h Suppose 0 = -4*x + 5*x + 2, -4*x - 24 = 4*k. Let r be (1128/279 + k)*3/(-2). Let c = -0.06 + 4.06. Sort 0.4, r, c in ascending order. r, 0.4, c Let r be -1 + -4 - 440/(-90). Sort r, -0.072, -1 in increasing order. -1, r, -0.072 Let v = 183 - 181. Sort v, 4, 1/3, 3 in descending order. 4, 3, v, 1/3 Let u = 370 - 373. Sort 58, u, -4 in ascending order. -4, u, 58 Let u be ((-64)/24)/((-7)/21). Sort -0.3, 2, -2/13, u in descending order. u, 2, -2/13, -0.3 Let j = 2 + 1. Let v = -16 + 16. Let t = v + 1. Put -3, t, j in descending order. j, t, -3 Suppose v - 15 = -2*v + 4*p, -3*v + 3*p + 15 = 0. Sort 485, v, -4 in decreasing order. 485, v, -4 Let m(a) = -a**3 - a**2 + 2*a - 2. Let n be m(-3). Suppose 0 = -2*r + z - 11, 5*z - 2*z = 2*r + 21. Let y be 3 - (r/(-1) - 3). Sort y, 4, n in increasing order. y, 4, n Let t = 294 - 296. Sort t, 5, 2 in descending order. 5, 2, t Let o = -0.12 + -4.88. Let t = -330 + 4288/13. Let k = 0.0176 + -1.0176. Sort o, k, t in descending order. t, k, o Let k = 5 + -14. Let q = 49 - 48. Put k, q, 3, -1 in ascending order. k, -1, q, 3 Let k(m) = -m**2 + 7*m - 7. Let r be k(6). Let t be (-16)/6 + 0 - (-11)/(-33). Put r, 5, t, 0 in increasing order. t, r, 0, 5 Let s = 2 + -3. Suppose -3*z + 4*z + 74 = 2*y, -5*z - 20 = 0. Let d be ((-21)/y)/((-2)/(-20)). Put -3, d, s in decreasing order. s, -3, d Let x = -1468 - -1464. Suppose 12 = 3*m + 3. Sort 0, m, x in descending order. m, 0, x Suppose -j = -5*k - 31 + 8, -5*j + 3*k + 27 = 0. Suppose -6*c + 4*r + j = -3*c, 4*r = -5*c + 37. Suppose 30 = c*l + 10. Put -5, l, 5 in decreasing order. 5, l, -5 Let x(p) = -p - 3. Let c(m) = m - 3. Let v be c(5). Suppose v*i - 6 = 3*q, -2*q = 4*i + 1 - 13. Let w be x(q). Put 2, -2, w in ascending order. w, -2, 2 Let h = 592.9 + -593. Let k = 0.32 - 0.3. Sort 2/7, k, h. h, k, 2/7 Suppose -3*x + 2*l + 18 = 0, 5*l + 5 - 2 = -3*x. Sort 12, 0, -2, x. -2, 0, x, 12 Let g = -26/11 + 471/176. Sort -2/3, g, -0.3 in ascending order. -2/3, -0.3, g Let f = -65 + 60. Let g = 30 + -52. Let i = 27 + g. Sort -17, i, f. -17, f, i Suppose -12 + 3 = 2*u + b, -u - 4 = b. Let f be u/((-6)/(-4 - -2)). Let q = 320.5 + -321. Sort f, -5, q in ascending order. -5, f, q Let g = 137 - 136. Sort 0, 4, g in decreasing order. 4, g, 0 Let s = -195 + 192. Let l = 10 + -8. Put l, s, -7 in decreasing order. l, s, -7 Let q be (-1)/(-4)*-3 - (-22)/8. Sort q, 1/4, 1/2, 4 in descending order. 4, q, 1/2, 1/4 Let c = 2.95 - 2.45. Sort 3, c, 0, -3/2. -3/2, 0, c, 3 Let y = -4.0309 + 0.0309. Let p = 0.8 + -0.3. Put 4/5, p, y in decreasing order. 4/5, p, y Let n be ((-100)/15)/((-5)/(-15)). Let h be (-5*12/n)/(3 - -2). Sort -0.5, -2, -3, h in ascending order. -3, -2, -0.5, h Let r = -346 - -342. Let j = 5 + -6. Sort 21, j, 0, r in decreasing order. 21, 0, j, r Let w be 70/10*(-6)/(-14). Sort -4, 0, 10, w in decreasing order. 10, w, 0, -4 Suppose -3*p + 3*v = -72, -4*v = -3*p - 2*p + 117. Let j be 0 - -4 - 78/p. Put 0.3, -2/5, j in ascending order. -2/5, j, 0.3 Suppose y = 7 - 1. Suppose y*r - r + 2*d = 49, d = 2. Suppose 6*n = r*n. Put 1/5, n, 3/4 in descending order. 3/4, 1/5, n Suppose -8 - 10 = 3*q. Let a be (187/q)/11 + 3. Let v = -0.6 - -0.6. Sort v, a, 2 in descending order. 2, a, v Let m = -1.718 + -8.282. Let r be (1/(-2))/(2/8). Put m, r, 1/7 in increasing order. m, r, 1/7 Suppose -5*y = 0, 2*b - y - 35 = 7. Sort 4, 3, 0, b. 0, 3, 4, b Let x be 330/(-5) - (0 + 0). Let k = 71 + x. Put 6, k, -5 in decreasing order. 6, k, -5 Let c(n) = 114*n**3 + n**2 - n + 2. Let y be c(1). Let h = -119 + y. Put 2, h, 7, -2 in ascending order. h, -2, 2, 7 Let o = -2 - -4. Let s be 4/(-16)*-2 - 3/6. Let k = -2 + 1. Sort o, k, s in ascending order. k, s, o Let j be -9 + ((-23936)/664)/(-4). Sort 2, -1, -5, j in ascending order. -5, -1, j, 2 Suppose 12 = -3*x + 3. Suppose 16*h + 357 = 293. Sort x, 2, h, -2. h, x, -2, 2 Let l = -4 + 20. Suppose 5*v - 1 = -l. Sort v, 0, 2. v, 0, 2 Let f(u) = 3*u + 25 + 0*u + 3 - u. Let j be f(-14). Suppose 0*p - p + 3 = 0. Sort 6, j, p in increasing order. j, p, 6 Let h be -6*(-11)/(-66)*3. Let w be 8/(-12) - (-17)/3. Put 3, w, -2, h in decreasing order. w, 3, -2, h Suppose 0 = 4*m - 5*m. Suppose 3*k - 30 = -3*j, m*k - 3*k = 2*j - 25. Let l be 247/(-65) - 1/j. Sort l, -1, 0 in decreasing order. 0, -1, l Suppose 781*y - 1 = 782*y. Sort 5, y, 1, 6. y, 1, 5, 6 Let d = 13 - -35. Let o = d - 56. Sort o, 2, -3. o, -3, 2 Let b(q) = q**3 - 4*q**2 + q + 6. Let f be b(3). Suppose f = -2*k - k - 21. Suppose -32 = 4*m + 4*j, -4*m = -5*m - 2*j - 12. Sort m, k, 3. k, m, 3 Suppose -3*i + 9*o + 3 = 6*o, -2*o - 6 = 0. Sort 10, -5, 2, i in descending order. 10, 2, i, -5 Let o be 135/23 - (56 + -50). Put -4, 1/10, o in descending order. 1/10, o, -4 Suppose 54*u = 19*u. Sort u, -55, 4 in decreasing order. 4, u, -55 Let u = 15 - 14. Suppose 3*m - 10 = 2*k - k, k + 6 = 2*m. Put u, 5, k in descending order. 5, k, u Let l(q) = -18*q + 49. Let o be l(3). Sort 2, o, 5, -4. o, -4, 2, 5 Let x be ((-1)/(-3))/(42/(-324)*-3). Let q = x + -32/21. Sort 3/17, q, -5 in ascending order. -5, q, 3/17 Let k(o) = -27*o**2 - 80*o + 6. Let g be k(-3). Sort -1, 5, -167, g in increasing order. -167, -1, g, 5 Suppose 0 = 4*p, 4*p + p = -g + 30. Let m = g + -40. Sort 1, m, 5 in ascending order. m, 1, 5 Let u be (11/44)/((-2)/(-12)). Let z = -646/7 - -92. Sort z, u, -0.1 in decreasing order. u, -0.1, z Suppose 5*s = -3*r - 4, 0 = 5*s - 5*r - 18 - 2. Let t = -4 + 5. Let o = t + s. Put o, -4, -5 in descending order. o, -4, -5 Suppose -3*t = -k + t + 6, 0 = -k + 2*t + 4. Suppose 3*p + 3*m + 35 = -p, 15 = -5*p + k*m. Sort 1, -3, 0, p in descending order. 1, 0, -3, p Suppose 3*m - 4*j = -11, 2*m + 3*j = -2*m + 27. Suppose 20 = -28*s + 32*s. Sort s, m, -0.6. -0.6, m, s Let j = 184 + -187. Sort 1/6, j, 3/26 in decreasing order. 1/6, 3/26, j Let i = -2 - -1.5. Suppose -9326 = 3*h - 9323. Put i, h, -0.2 in descending order. -0.2, i, h Suppose 10 = -3*r + 2*c - 7*c, 30 = 4*r - 2*c. Put r, 432, -2 in descending order. 432, r, -2 Suppose -2*g = -5 + 9. Let t = -6 - g. Sort t, -13, 3 in decreasing order. 3, t, -13 Let y = -277/148 - -60/37. Let i(t) = -4*t**3 - t**2 + 1. Let m be i(-1). Let z = 9 - m. Sort 1, y, z in descending order. z, 1, y Let r(s) = 0*s**3 + 1 - s**2 - 5*s - 4*s**2 - s**3. Let l be r(-4). Let x = 1041 + -1038. Put x, l,
{ "pile_set_name": "DM Mathematics" }
er when 772 is divided by 139? 77 Calculate the remainder when 1214 is divided by 69. 41 Calculate the remainder when 3414693 is divided by 948. 945 What is the remainder when 8026 is divided by 187? 172 Calculate the remainder when 3469 is divided by 429. 37 What is the remainder when 9562 is divided by 563? 554 Calculate the remainder when 216831 is divided by 40. 31 What is the remainder when 12312 is divided by 308? 300 What is the remainder when 19150 is divided by 25? 0 Calculate the remainder when 146865 is divided by 190. 185 What is the remainder when 5709 is divided by 167? 31 Calculate the remainder when 6490258 is divided by 540. 538 What is the remainder when 4952 is divided by 207? 191 Calculate the remainder when 988 is divided by 326. 10 What is the remainder when 21599 is divided by 625? 349 Calculate the remainder when 597815 is divided by 1368. 1367 Calculate the remainder when 385456 is divided by 96362. 8 Calculate the remainder when 4351 is divided by 403. 321 What is the remainder when 3860 is divided by 1904? 52 What is the remainder when 43874 is divided by 402? 56 Calculate the remainder when 13918 is divided by 6910. 98 Calculate the remainder when 216237 is divided by 84. 21 What is the remainder when 16529 is divided by 262? 23 Calculate the remainder when 368617 is divided by 7372. 17 Calculate the remainder when 8311 is divided by 1527. 676 What is the remainder when 401 is divided by 191? 19 Calculate the remainder when 1293 is divided by 319. 17 What is the remainder when 10389 is divided by 1486? 1473 What is the remainder when 938 is divided by 35? 28 What is the remainder when 24941 is divided by 12448? 45 Calculate the remainder when 11120 is divided by 657. 608 What is the remainder when 12679 is divided by 15? 4 What is the remainder when 4123 is divided by 262? 193 What is the remainder when 2639 is divided by 5? 4 Calculate the remainder when 7707 is divided by 89. 53 Calculate the remainder when 39497 is divided by 158. 155 What is the remainder when 50199 is divided by 9? 6 Calculate the remainder when 282349 is divided by 260. 249 Calculate the remainder when 1907 is divided by 1907. 0 Calculate the remainder when 108151 is divided by 4. 3 What is the remainder when 163132 is divided by 342? 340 What is the remainder when 57122 is divided by 1120? 2 What is the remainder when 534 is divided by 18? 12 What is the remainder when 8984 is divided by 833? 654 Calculate the remainder when 2036 is divided by 130. 86 Calculate the remainder when 21674 is divided by 126. 2 What is the remainder when 32270 is divided by 6451? 15 What is the remainder when 3874 is divided by 297? 13 What is the remainder when 6584 is divided by 183? 179 Calculate the remainder when 9285 is divided by 3093. 6 Calculate the remainder when 5783 is divided by 161. 148 Calculate the remainder when 1595297 is divided by 1075. 1072 Calculate the remainder when 67914 is divided by 2716. 14 Calculate the remainder when 103035 is divided by 11. 9 Calculate the remainder when 650834 is divided by 3874. 2 Calculate the remainder when 10275 is divided by 1005. 225 What is the remainder when 2863 is divided by 175? 63 What is the remainder when 2070 is divided by 1849? 221 What is the remainder when 542589 is divided by 18? 15 What is the remainder when 21608 is divided by 2506? 1560 What is the remainder when 2558 is divided by 1540? 1018 What is the remainder when 11934 is divided by 1989? 0 What is the remainder when 348 is divided by 238? 110 Calculate the remainder when 14048 is divided by 1404. 8 Calculate the remainder when 1686 is divided by 21. 6 Calculate the remainder when 3039 is divided by 2965. 74 Calculate the remainder when 35620 is divided by 3550. 120 What is the remainder when 722 is divided by 124? 102 What is the remainder when 62965 is divided by 15? 10 Calculate the remainder when 2128 is divided by 174. 40 Calculate the remainder when 69 is divided by 58. 11 Calculate the remainder when 131073 is divided by 34. 3 What is the remainder when 162964 is divided by 54312? 28 Calculate the remainder when 3300 is divided by 186. 138 What is the remainder when 30767 is divided by 10252? 11 Calculate the remainder when 87575 is divided by 89. 88 Calculate the remainder when 7821 is divided by 24. 21 What is the remainder when 775475 is divided by 698? 695 What is the remainder when 13628 is divided by 673? 168 What is the remainder when 4503 is divided by 3491? 1012 Calculate the remainder when 9387 is divided by 150. 87 What is the remainder when 6430 is divided by 3101? 228 Calculate the remainder when 640337 is divided by 10672. 17 What is the remainder when 103250 is divided by 17206? 14 What is the remainder when 3664 is divided by 21? 10 What is the remainder when 438 is divided by 61? 11 Calculate the remainder when 2759 is divided by 60. 59 What is the remainder when 1042 is divided by 355? 332 What is the remainder when 4392382 is divided by 64? 62 What is the remainder when 22757 is divided by 714? 623 Calculate the remainder when 1904361 is divided by 28. 25 Calculate the remainder when 40481 is divided by 135. 116 Calculate the remainder when 295317 is divided by 149. 148 Calculate the remainder when 430378 is divided by 20. 18 Calculate the remainder when 323097 is divided by 106. 9 What is the remainder when 602187 is divided by 10? 7 Calculate the remainder when 108118 is divided by 204. 202 What is the remainder when 62715 is divided by 20877? 84 Calculate the remainder when 48075 is divided by 7. 6 Calculate the remainder when 112437 is divided by 209. 204 Calculate the remainder when 2937598 is divided by 1836. 1834 Calculate the remainder when 52993 is divided by 13216. 129 Calculate the remainder when 24311 is divided by 105. 56 Calculate the remainder when 1353 is divided by 17. 10 Calculate the remainder when 1770050 is divided by 86. 84 What is the remainder when 29082 is divided by 1817? 10 Calculate the remainder when 1465294 is divided by 147. 145 What is the remainder when 4172 is divided by 322? 308 Calculate the remainder when 421 is divided by 417. 4 What is the remainder when 335625 is divided by 55937? 3 Calculate the remainder when 17525 is divided by 373. 367 What is the remainder when 52205 is divided by 2747? 12 Calculate the remainder when 86320 is divided by 43156. 8 Calculate the remainder when 14986 is divided by 884. 842 Calculate the remainder when 920784 is divided by 20017. 2 Calculate the remainder when 21399 is divided by 187. 81 What is the remainder when 1004 is divided by 20? 4 Calculate the remainder when 166410 is divided by 83198. 14 What is the remainder when 1299 is divided by 39? 12 What is the remainder when 251943 is divided by 2768? 55 Calculate the remainder when 240126 is divided by 2825. 1 Calculate the remainder when 41177 is divided by 349. 344 What is the remainder when 4617 is divided by 110? 107 What is the remainder when 344512 is divided by 28? 0 Calculate the remainder when 10874 is divided by 75. 74 Calculate the remainder when 446249 is divided by 63744. 41 Calculate the remainder when 273782 is divided by 9777. 26 What is the remainder when 1512 is divided by 1509? 3 Calculate the remainder when 14646 is divided by 3638. 94 Calculate the remainder when 171548 is divided by 243. 233 What is the remainder when 426876 is divided by 74? 44 Calculate the remainder when 8384 is divided by 556. 44 What is the remainder when 59207 is divided by 29600? 7 Calculate the remainder when 5060 is divided by 839. 26 Calculate the remainder when 72616 is divided by 18153. 4 Calculate the remainder when 147227 is divided by 340. 7 What is the remainder when 2659 is divided by 1094? 471 Calculate the remainder when 3080 is divided by 82. 46 What is the remainder when 28985 is divided by 475? 10 What is the remainder when 3063 is divided by 160? 23 What is the remainder when 11942 is divided by 746? 6 Calculate the remainder when 3443 is divided by 16. 3 What is the remainder when 316 is divided by 2? 0 What is the remainder when 2065 is divided by 847? 371 What is the remainder when 123819 is divided by 30941? 55 Calculate the remainder when 14780 is divided by 7386. 8
{ "pile_set_name": "DM Mathematics" }
f w. 17, 29 Suppose -22 = -2*q + 6. Suppose i = 5*f + 2238 - 583, -4*i + 3*f + 6722 = 0. What are the prime factors of i/7 - q/(-49)? 241 Let f be (-14435 - (-4 - -10)) + -3. What are the prime factors of (f/(-138))/((-1)/(-3))? 2, 157 Suppose 80*d + 3348 = 98*d. What are the prime factors of d? 2, 3, 31 Suppose 2*b - 10303 = -5*r, -12364 + 2070 = -5*r - b. List the prime factors of r. 11, 17 Suppose 5*q + 115 = -0*m - 5*m, 5*m + 7 = -q. List the prime factors of (-12786)/(-8) - q/36. 3, 13, 41 Suppose -2*d = -5*s + 1288, d + 3*s - 6 = -628. Let r = 1350 + d. List the prime factors of r. 2, 179 Let j(g) = -4*g - 5. Suppose 0 = -0*b + 8*b - 520. Suppose -b*z + 64*z = 22. List the prime factors of j(z). 83 Let t(p) = -5*p**3 - 17*p**2 - 10*p + 19. Let u(h) = -h**3 - h**2 - 1. Let g(i) = -t(i) + 4*u(i). List the prime factors of g(-6). 13 Let o = -236 + 331. List the prime factors of 10/o + (-93)/(-19) - -26. 31 Let h(b) = b**2 + 3*b + 1. Suppose -64*z = -67*z - 12. Let d be h(z). Suppose d*s + 250 = 10*s. List the prime factors of s. 2, 5 Let y = -161 + 177. Suppose -u + 163 = l, -5*l + 807 = y*u - 13*u. What are the prime factors of l? 3, 53 Suppose -78*m = -86*m + 8. What are the prime factors of (2 - m) + 55 + 0? 2, 7 Let z = -3185 - -3191. Suppose -2*m + 3 = -m. Suppose z*d - 2*d - 138 = -2*p, -m*p + 223 = -2*d. What are the prime factors of p? 73 Let l be 10/4*(3 - (-4 + 5)). Suppose 0 = 2*s + 4*b - 32, l*b = 6*s - s - 65. List the prime factors of s. 2, 7 Suppose 0 = -9*l + 88053 - 28725. What are the prime factors of l? 2, 103 Suppose 45866 + 161867 = 43*j. What are the prime factors of j? 4831 Let v(w) = -145*w - 11. Let n be v(-2). What are the prime factors of 4 - (3 - (n - -5))? 3, 5, 19 Let l(a) = 4*a - 6*a + 3*a**2 - a**3 - 4*a + 15 - 9 - 14. Let g(t) = -t**2 + 6*t - 4. Let s be g(6). What are the prime factors of l(s)? 2 Suppose 4*t - 144244 = 5*j, -241817 = -5*t - 3*j - 61512. What are the prime factors of t? 36061 Suppose 11*r = 10*r + 3. What are the prime factors of (r/(-9))/((-6)/8388)? 2, 233 Let o be (-6)/21 - (-90)/21. Let g(q) be the second derivative of q**4/4 + 3*q**2/2 + 38*q. What are the prime factors of g(o)? 3, 17 Let r = 19795 - 10566. List the prime factors of r. 11, 839 Let c be 1133*(-1 - (-3 + 3)). Let f = -463 - c. List the prime factors of f. 2, 5, 67 Suppose 0 = -2*b - 0 + 4. Suppose -r - 5*f + 3*f = -206, -222 = -r + b*f. What are the prime factors of r? 2, 107 Suppose -2*y - 5 = -15. Suppose 5*x + 5*s = 4*s + 6048, -4*x - y*s + 4851 = 0. List the prime factors of x. 3, 13, 31 Suppose -6*q = -2087 - 373. List the prime factors of q. 2, 5, 41 Let o(f) = -903*f - 497. What are the prime factors of o(-56)? 7, 23, 311 Let j(x) be the third derivative of x**6/10 - x**5/15 + 7*x**4/24 + 22*x**2. What are the prime factors of j(3)? 3, 103 Let j(l) = -2*l**2 - 11*l - 10. Let n be j(-4). Let v be (-2)/(n - 0/(-3)). Let x(i) = -72*i**3 - 2*i**2 + i + 2. List the prime factors of x(v). 71 Let c(q) = 10*q**3 - 121*q**2 - 20*q - 42. List the prime factors of c(18). 2, 3, 3119 Suppose -2*r + 3504 = u, 12*r + 1779 = 13*r - 4*u. What are the prime factors of r? 3, 5, 13 Let p be ((-7)/14 + -2)*-2. Suppose 0 = -0*n + 3*n + g - 1388, -p*n + 2311 = 4*g. List the prime factors of n. 463 Suppose -14*b = -21909 - 41049. List the prime factors of b. 3, 1499 Let w(i) = -2*i + 11. Let h(y) = -5*y + 23. Let a(q) = -3*h(q) + 7*w(q). Let x be a(-4). Suppose -x*l + 153 = -l. What are the prime factors of l? 3, 17 Let d(w) = -2*w**2 + 9*w + 21. Let g be d(9). What are the prime factors of (g/(-35))/((-2)/(-392)*1)? 2, 3, 7 Let k(h) = -4148*h**3 + 4*h**2 - 61*h - 64. What are the prime factors of k(-1)? 3, 461 What are the prime factors of (-31639205)/(-1170) - (-1)/(-18)? 2, 3, 4507 Suppose 28*y + 11*y - 2*y = 352906. List the prime factors of y. 2, 19, 251 Suppose -5*t = -72 - 303. Let k be (t/(-125))/((-2)/330). Suppose 22 - k = -g. List the prime factors of g. 7, 11 Let m(p) = -2*p - 17*p + 15*p**2 + p**3 + 0*p**3 - 7*p + 18. List the prime factors of m(-16). 2, 89 Let z = 4055 - 2624. List the prime factors of z. 3, 53 Let p be 1437 + 7 + (-4 - 7). Suppose p = -3*u + 4097. List the prime factors of u. 2, 3, 37 What are the prime factors of (-40)/48 - 65561*(-1)/6? 2, 3, 607 Suppose d + 5*l = -4 + 7, d = 5*l + 3. Suppose 5*o + 30 = 5*a - 0*o, 5*o = -d*a + 2. Suppose -y - a*y + 4*s = -646, 2*s + 134 = y. List the prime factors of y. 2, 3, 7 What are the prime factors of 14 - (15 - 93089 - 1)? 93089 Let a be (-4)/48*-39 - 2/8. Let n(c) = -9 - 4 + a*c**2 - 3*c + c**2 - 4*c. What are the prime factors of n(-3)? 2, 11 Suppose -g = 5*k - 409, -2*k - 15*g + 10*g = -159. Suppose k = 2*y - 3*m, -2*y + 99 = -2*m + 13. List the prime factors of y. 47 What are the prime factors of (11708/12)/(-1*(-10)/30)? 2927 Let b = -8 + 30. Suppose -11*w + 8*w = -1701. Suppose 19*l = b*l - w. List the prime factors of l. 3, 7 Let i(k) = -9*k**3 - 3*k**2 + 243*k + 6. List the prime factors of i(-18). 2, 3, 3929 Suppose 0 = -r - 6*p + 11413, -4*p + 27553 = 3*r - 6686. What are the prime factors of r? 101, 113 Let n(s) = -52*s - 8. Let h = -23 - -29. Let q(p) = p**2 - 5*p - 8. Let o be q(h). List the prime factors of n(o). 2, 3 Suppose 0*i = -i + 5, -5*i = -2*j + 1031. Suppose -4*d + 16*d = j. What are the prime factors of d? 2, 11 Suppose -376 = 3*r - 337. What are the prime factors of (-102 - -98)*(r - -1 - 1)? 2, 13 Let c(j) = 265*j**2 - 64*j - 425. What are the prime factors of c(-9)? 2, 7, 193 Let b(f) be the first derivative of -13*f**2 + 30*f - 50. What are the prime factors of b(-6)? 2, 3, 31 Let d = -204 - -194. Let p(w) = -50*w - 7. List the prime factors of p(d). 17, 29 List the prime factors of 11479/5 - (1/10*58 + -6). 2, 7, 41 Let g(n) be the third derivative of -n**4/8 + 31*n**3/6 + n**2 + 18. Let i be 1 + -3 - (-3 - -1). What are the prime factors of g(i)? 31 Suppose -21*g = -15*g - 5382. Let k = -539 + g. List the prime factors of k. 2, 179 List the prime factors of 14/77 - 265559/(-77). 3449 Let m(s) = s**2 - 10*s + 14. Let c be m(7). Let g(u) = 0*u**2 - u**3 + u**2 - 4*u**2 + 16 + 11*u - 2*u**2. What are the prime factors of g(c)? 37 Suppose 15*k = 12*k. Let q be (27/45)/(k + (-3)/(-15)). Suppose -q*h + 234 + 216 = 0. List the prime factors of h. 2, 3, 5 Let l(a) = 125 + 126 + 118 - 2*a - 3*a - 365 + 14*a**3. Let d be (5/(-3) - -2)*6. List the prime factors of l(d). 2, 53 What are the prime factors of (2/3 - 112/(-210)) + 282672/65? 2, 3, 5, 29 Let x(q) = -3*q**3 - 4*q**2 - 51*q + 14. List the prime factors of x(-18). 2, 4283 Suppose 0 = -4*s - 2*f - 238 + 11702, -5*f + 5724 = 2*s. What are the prime factors of s? 47, 61 Suppose -774134 = 177*y - 223*y. List the prime factors of y. 16829 Let i(r) = -3*r**3 - 4*r**2 - 17*r + 323. What are the prime factors of i(-27)? 5, 11383 Suppose -103*p + 1353931 + 440623 = -9*p. List the prime factors of p. 17, 1123 Suppose 8 = -3*a + 4*a. Let n(b) = b + 5 + 2 + b**2 + 1. List the prime factors of n(a). 2, 5 Suppose 0 = -4*v + v + b + 23137, 5*v - 2*b = 38560. List the prime factors of v. 2, 7, 19, 29 Suppose 1103127 = 58*m + 7*m + 6*m. What are the prime factors of m? 3, 5179 Let f(y) = -2*y**2 - 37*y - 16. Let x be f(-18). Suppose 2*a = -x*a + a. Suppose -9*z - 5*g + 975 = -4*z, z - g - 185 = a. What are the prime factors of z? 2, 5, 19 Suppose 0 = -2*q - 5 + 51. Let g = q + -12. Let p(w) = -w**3 + 10*w**2 + 12*w + 4. List the prime factors of p(g). 3, 5 Suppose -233 = 12*m - 437. Suppose -23*x - m*x + 51200 = 0. List the prime factors of x. 2, 5 Let y(f) = 3*f + 5. Let w be y(-2). Let c = 3 - w. List the prime factors of (c/1 + 11)*3. 3, 5 Let x(b) = 25*b**3 + 3*b**2 + 7*b - 53. List the prime factors of x(8). 5, 23, 113 Suppose 2*p + 84 = 9*p. Suppose 0 = -3*j - p*j + 2475. What are the prime factors of j? 3, 5, 11 Suppose o - 2*o - 11 = -4*v, -18 = -2*o - 2*v. Suppose 156 = o*d + 2*f, -d + 4*d - 78 = 4*f. Suppose 25*x - d*x = -565. List the prime factors of x. 113 Suppose -4*d + 3*d - 3 = 0. Let j be -1 - d - 1 - -5. Suppose 28 = o + 5*s, s = 5*o - j - 4. What are the prime factors of o? 3 Let l(d) = 8*d**3 - 6*d + 7. Suppose -r - b - 2 = -3, -r = -5*b - 7. Let j be l(r). Suppose -61*p + j*p + 8
{ "pile_set_name": "DM Mathematics" }
2*l + 7, -2*m = -5*l - 17 - 10 for l. -5 Solve 15*g = 5*u + 17*g - 15, 0 = 5*u + 5*g - 15 for u. 3 Solve 12*l = 7*l - p - 23, -11 = 5*l - 3*p for l. -4 Solve 3*j = 2*k + 10, 4*k = 2*j - 0*j - 4 for j. 4 Solve 0 = 4*b + q, 0 = 4*b - b - 5*q + 23 for b. -1 Solve -4*w - 28 = 4*h - 8*w, -4*w + 30 = -5*h for h. -2 Solve -4*n + z + 6 = 2*z, -n + 5 = 2*z for n. 1 Solve -3*l + 2*j + 2 = 4*j, l - 4*j = 24 for l. 4 Solve -2*o + 10 = h - 3*h, -5*h - 25 = 3*o for o. 0 Solve 2*g + 3*t + 20 = 0, -t - 86 = -2*g - 90 for g. -4 Solve -9*l + 1 = -7*l - 3*n, 3*n = 9 for l. 5 Solve -5*p + l + 25 = 0, -p - 2 = 5*l + 19 for p. 4 Solve 25*k - 23*k + y + 10 = 0, 5*y = -20 for k. -3 Solve -2*i = 2*w + 6, 169*i = -w + 164*i - 19 for w. 1 Solve 4*d + 1 = -19*p + 24*p, -2*p = d - 3 for d. 1 Solve 0 = -33*l + 36*l + 4*g - 31, 5*l + 4*g = 41 for l. 5 Solve 5*w + 5*p = -0*p + 10, 2*w = 4*p - 8 for w. 0 Solve -h + 3 = 2*j, -2*h - 5*j - 1 = -7 for h. 3 Solve -4*x = -p + 8, 3*x + 9*p - 14*p + 23 = 0 for x. -1 Solve -3*o + 1 + 7 = 2*y, -4*o + 20 = -2*y for o. 4 Solve 0 = -5*r - 25, -6*q + 5*r = -q - 50 for q. 5 Solve -11*k + 3*b + 12 = -7*k, -16 = 4*b for k. 0 Solve -21*c + 7 = u + 73, 9 = -u - 2*c for u. -3 Solve -5*r = -6*r - 4*s - 3, -4*r - 12 = -3*s for r. -3 Solve -2*c + 6 = -t, 0*t - 4*c = -5*t for t. 4 Solve -3*b + 3*s = -9, 7*b = 11*b - 2*s - 16 for b. 5 Solve -5*p + 15 = 3*q, -4*q - 4*p + 20 = -0*q for q. 5 Solve -q - 9 = 3*n + 2*q, -3*q - 9 = 0 for n. 0 Solve -4*f - 4*q - q + 1 = 0, q = 4*f + 5 for f. -1 Solve 0 = 2*i - y - 5, -4*i = -0*y + 5*y - 45 for i. 5 Solve -3*r + 1 = -4*g - 0*g, 5*r - 3*g = -13 for r. -5 Solve -5*c - 40 = 9*k - 6*k, 10 = -5*c + 3*k for c. -5 Solve 5*r + n - 18 = 0, -3*n + 0 = 3*r - 6 for r. 4 Solve 5*o - 2*d - 20 = 0, 5*o - 4*d + 44 - 74 = 0 for o. 2 Solve 3*l + l + 2*k = 0, 0 = -l - 4*k for l. 0 Solve 3*u + u + 2*x = 4, -21 = u - 5*x for u. -1 Solve -4*g + g + 26 = -5*a, -3*a = 4*g + 4 for a. -4 Solve 2*g + 4 = 0, 4*a + 2*g - 11 = 9*a for a. -3 Solve -4*o = -4*f - 16, -4*o + 11 = -9 for f. 1 Solve 3*m + 20 = 5*u + 32, -2*u - 6 = 0 for m. -1 Solve -3*f + 5*x + 10 = -11, 5*f + 2*x - 4 = 0 for f. 2 Solve -m + 1 = z, -z - 98 + 111 = 5*m for m. 3 Solve -8*g - 2*j = -10*g, 0 = 3*g - 2*j for g. 0 Solve 5*t = 25, 26 = 4*z + 5*t + 9 for z. -2 Solve -2*l + 4 = 5*x, 7*l - 9 = 12*l + 3*x for l. -3 Solve 28*k = 27*k - a + 2, 2*k - 4*a - 10 = 0 for k. 3 Solve 0 = 3*z - 5*j - 17, -6 - 2 = 2*j for z. -1 Solve 0 = 11*d - 14*d + 12, -5*j + 2*d = -12 for j. 4 Solve -4*u + k - 2 = -6*u, 3*k = -5*u + 7 for u. -1 Solve -72*j - 2 = -67*j + 2*l, 2*j + 1 = -l for j. 0 Solve -4*j + 2*c + 22 = 0, -3*j + 8 = c - 1 for j. 4 Solve -b - 13 = -5*v, 3*v + 5*b - 4 = 15 for v. 3 Solve -8*q - 4*i = -3*q - 6, -i = -4*q + 9 for q. 2 Solve -4*q - 5*l - 7 = 0, 4*q + 3*l = 8*q + 15 for q. -3 Solve 0 = -4*n - 3*f + 25 - 0, f = 2*n - 5 for n. 4 Solve 4*w - 5*n + 12 = 0, -4*w + 2*n + 28 = 7*n for w. 2 Solve 5 + 13 = 5*c + 4*g, 2*c + g - 6 = 0 for c. 2 Solve x + 0*x - 4*f = 11, 11 = -3*x + f for x. -5 Solve 6 = q - 2*w + 1, 4*q - 3*w = -5 for q. -5 Solve -21 = 3*a + 3*r, 0 = -5*r - 9 - 6 for a. -4 Solve 4*l + 5*g = 21, -5*g + 23 = 5*l - 2*g for l. 4 Solve 0 = i + 3*v - 7, -v = 2*i - 3 - 1 for i. 1 Solve 7*q = 5*q - 4, 4*q = -3*k + 4 for k. 4 Solve 5*z + 9 = -2*a, -2 - 10 = 2*z - 2*a for z. -3 Solve 5*t - 20 = 5*a, a - 261*t - 16 = -265*t for a. 0 Solve 14 = 3*r - 85*f + 81*f, 3*f = 3*r - 12 for r. 2 Solve 4 = 2*t + 2*z - 6, 3*t - 5*z + 9 = 0 for t. 2 Solve 0 = 2*u + 18*l - 20*l + 16, -4*u = -2*l + 26 for u. -5 Solve 4*u = 3*c - 3, 5*u - 30 = -14*c + 29*c for u. -3 Solve 0 = -5*q - 2*w - 13, 3*q - 4*w + 13 = -0*q for q. -3 Solve -35 = 5*q + 5*s, 0*q = -2*q + 4*s + 16 for q. -2 Solve 4*j + 2*w = 6, 6*j = j - 5*w + 15 for j. 0 Solve 4*r - 1 + 4 = 5*h, 4*r - 3 = 3*h for h. 3 Solve c - r = -1, 2*c + 13 = -2*c + r for c. -4 Solve 4 = 395*h - 396*h - 2*r, 2*r + 6 = -2*h for h. -2 Solve 14*d - 13*d - w - 4 = 0, 8 = 2*d + 4*w for d. 4 Solve -4*n - 16*r - 12 = -11*r, -14 = n + 4*r for n. 2 Solve 0 = 5*b + 5*d, -b - 4*d + d = 10 for b. 5 Solve 6*q - 4*w = q + 15, -5*q - 3*w = -15 for q. 3 Solve t + 4*i + 40 = 6*t, t + 5*i + 21 = 0 for t. 4 Solve 0 = -3*r + 2*z + 23, 15*r + 9 = 20*r + 4*z for r. 5 Solve 3*s - 5*v = -18, 5*v + 6 = 4*s + 25 for s. -1 Solve -4 = 5*w - 3*k + 25, -3*k = 5*w + 11 for w. -4 Solve -18 = 4*d - 6*d + 3*q, 4*q + 16 = 0 for d. 3 Solve 2*b = 2*z - 6, -4*b - 3*z + 5*z = 12 for b. -3 Solve -2*j + 2*k + 10 = 0, -k - 1 = -5*j - 4*k for j. 2 Solve -5*m = -7*b + 4*b + 4, -2*m - 13 = -5*b for b. 3 Solve 5*q + 17 = -3*w, w + 11 = 5*q - 3*w for q. -1 Solve 6 = -3*v + 6*v, 3*v = 2*s + 10 for s. -2 Solve 3*v - 9 = -4*j, 5*v + 4*j - 8 = -1 for v. -1 Solve 2*r = -2*p + 14, 3*r - 5*p + 3*p - 11 = 0 for r. 5 Solve -3*u + 4 = -2*d, 5*u = 7*d - 2*d + 5 for d. 1 Solve 4*t - 5*b - 22 = 0, -2*t - b = 2*t - 10 for t. 3 Solve 8 = b + 3*u, 184*u = 185*u - 1 for b. 5 Solve -2*h = u + 6, -22 = 2*h + 4*u + u for h. -1 Solve h + 3*a - 6 = 0, 0 = h - 3*h + 3*a + 3 for h. 3 Solve 5*y + 17 = 3*c, c = y - 3*c for y. -4 Solve -3 = 5*v - 4*v - 3*n, v = 2*n - 1 for v. 3 Solve -8 - 6 = -c + 4*n, c + n = -6 for c. -2 Solve 4 - 3 = 5*d - 4*z, 3*d - 3*z = 3 for d. -3 Solve 4*k - 20 = 0, -4*p - 5*k = -10 - 3 for p. -3 Solve 2*y = 2*v - 14, y - 4*v + 10 = -3 for y. -5 Solve -2*s - 26 = -5*d, -5*d - 4*s + 3*s = -17 for d. 4 Solve 0 = -2*a - 3*w - 7 + 3, 3*a + 4*w + 6 = 0 for a. -2 Solve -2*q + 4 = 2*p, 4*q = q - p + 2 for q. 0 Solve 2*q - 9 = -3*c, 8*q + 6 = 6*q + 2*c for q. 0 Solve 4*u - 6*u - 2*p = -6, 0 = 4*u + 5*p - 12 for u. 3 Solve -30*w + 27*w + 12 = 3*s, -5*w + 5*s - 20 = 0 for w. 0 Solve -3*n + 2*s - 19 = -0*s, -3*s + 15 = 0 for n. -3 Solve 32 = -4*v - 4*q, 3 = -2*q - 7 for v. -3 Solve 5*f - 17 + 3 = -4*u, -7*f = 2*u - 16 for f. 2 Solve 2*n + 12 = -2*w, -3*w - 11 = 4 for n. -1 Solve -4*l - 13 = -f, 20*f + l = 15*f + 23 for f. 5 Solve -f - 2*a - 6 = 0, a = 3*f + 5*a + 14 for f. -2 Solve 3*x - 3 + 1 = -m, 5*x = -5 for m. 5 Solve g = -v + 5*v + 17, 0 = -3*v + 4*g - 29 for v. -3 Solve -16*q + 15*q + 14 = 3*l, -4*l - 2*q = -20 for l. 4 Solve 8 = -2*v - 3*i, 12 = -3*v - 0*v + 4*i for v. -4 Solve -11*t - 18 = -7*t - 2*p, 4*t + 21 = 5*p for t. -4 Solve 3*s - t = -10, -2*s + 5 + 7 = 4*t for s. -2 Solve 0 = -2*a + 49*n - 52*n + 14, 0 = n - 2 for a. 4 Solve 8*j - 6*j + 2*r = 2, 5*j = r + 29 for j. 5 Solve -5*u = 3*z - 48, -4*z = 4*u - 0*z - 40 for u. 9 Solve -42*o + 46*o = 3*m - 31, -2*o = 3*m - 7 for o. -4 Solve -n - 4*k = -6*n, -2*n - k = 0 for n. 0 Solve -2*f + 10 = -4*x - f, -f = -2 for x. -2 Solve 5*t + 5*o = -15, -5*t + 62*o - 65*o - 17 = 0 for t. -4 Solve -4 = -y, 3 + 2 = -3*m - y for m. -3 Solve -s = 2*k - 5*s + 8, k - 4 = -2*s for k. 0 Solve -3*s = -5*q + 10*q - 15, 0 = -5*q - 4*s + 20 for q. 0 Solve g + 4*t + 43 = -4*g, 2*t = 3*g - 5 for g. -3 Solve -2*k + 0*k - 28 = 6*n, 0 = -2*k - 4*n - 18 for k. 1 Solve 9*g + 3*y - 14 = 4*g, -5*g + 2*y = -24 for g. 4 Solve -4*b - 3*c = -6*b + 1, -3*b + 8 = 2*c for b. 2 Solve 5*c - 5*d + 8 = -12, 21 = -4*c + 5*d for c. 1 Solve -17 = 4*b - s, 7*b + 30 = 2*b + 3*s for b. -3 Solve -4*x + 2*h = -7*x - 19, -3*x - 4*h - 23 = 0 for x. -5 Solve -3*w + 21 = 5*o, -5*w - 2 = -12 for o. 3 Solve 15 = 3*l - 6*b + 3*b, 0 = 4*b for l. 5 Solve -3*m = -4*z + 2*z - 6, 3*m + 3 = 5*z for m. 4 Solve 3*n + p = -4 - 0, -14 = -2*n - 4*p for n. -3 Solve l - 30*f = -29*f, -4*f = 4*l for l. 0 Solve 4*a = 5*a + r - 3, 4*a + r = 0 for a. -1 Solve -3 = 2*k + 3*r + 22, -4*r + 5 = -5*k for k. -5 Solve -4*j + 11 = -2*r + r, 3*r + 7 = -j for r. -3 Solve 0*l + 4*l = 4*j - 24, 5*l = 2*j - 27 for j. 1 Solve 5*t = 2*z - 13 + 19, 5*t = 0 for z. -3 Solve -p - 4 = 4*s - 2*s, -3*s = -3*p + 6 for s. -2 Solve -4*g = 3*z - 5*z - 18, -3*z = -4*g + 19 for g. 4 Solve 0*b + 5*b - 32 = -4*o, -2*b + 3*o = 1 for b. 4 Solve -z - 9 = -5*c, 12*c - 4*z + 2 = 11*c for c. 2 Solve -4*u + 2 = -5*s - 6, -s + 11 = -5*u for u. -3 Solve -28 = 4*f - 3*m, -8*f + 24 = -9*f + 5*m for f. -4 Solve 20 = -4*t + 2*b, 4*b + 0*b = 5*t + 31 for t. -3 Solve 0 = -2*u + 4*m + 16, -u - u + 3*m + 14 = 0 for u. 4 Solve -5*x - 2*g = -20, 3*g - 2 = 2*x - 10 for x. 4 Solve -3*j - 3*u = -12, 2*u - 8 = -6*j + 2*j for j. 0 Solve 5*y + 29 = -4*h, h + 2*y - 7
{ "pile_set_name": "DM Mathematics" }
-d**2 + 113 - 15*d + 121 + 116 + 122 - 480. Determine l(-13). 18 Let x(y) = 2*y**3 + 4*y + 16. Let p(m) = -m**3 - 3*m - 15. Let i = -139 + 137. Let z(s) = i*x(s) - 3*p(s). What is z(0)? 13 Suppose 2*v - g - 4 = 0, -g - 4*g = -2*v + 4. Let o(u) = u. Let b(a) = -15*a - 3. Let h(f) = -b(f) - 18*o(f). Determine h(v). -3 Let w(m) = -m - 3. Let u(o) = o**3 - o**2 - o + 2. Let p be u(0). Suppose -3*f - 8 = -2*i, -3*i - i = p*f. Let n = 6 + f. Give w(n). -7 Let b(n) = n**2 - n - 3. Let u be 18/(-4)*(-6)/(-9). What is b(u)? 9 Let y(r) = -8*r**2 - 22*r + 28. Let w be y(-4). Let z(f) = f**2 + 16*f - 4. Calculate z(w). -52 Let n(u) be the second derivative of u**4/12 - 3*u**3/2 + 3*u**2/2 + 16*u + 5. Determine n(7). -11 Let c(s) = -s**3 + 12. Suppose -4*y + 100 = -0*y. Suppose y*i = 27*i. Calculate c(i). 12 Let t(i) = -2*i**2 - 12*i - 2. Let g(x) = -2*x**2 - 10*x - 2. Let k(z) = -4*g(z) + 3*t(z). What is k(-5)? 32 Suppose -3*o - 4*s + 3472 = s, 3*o - 3478 = s. Let f = -771 + o. Let r(q) = 390*q - 1 - f*q + 2. What is r(-4)? -7 Let l(y) be the third derivative of 0*y + 0 - 1/6*y**3 - 1/12*y**4 + 4*y**2. Suppose -c - 4*g + 2*g = 7, -4*c + 2 = -2*g. Calculate l(c). 1 Let l(a) = -2*a**2 - 2*a - 4. Let v = 112 - 117. Determine l(v). -44 Let w(s) be the second derivative of 4*s**3 - 2*s - 237. What is w(-1)? -24 Let v be ((-88)/(-55))/((-4)/(-10)). Let k(x) = -x**2 + 6*x - 6. Let u be k(v). Let i(m) = -2*m**2 + m + 2. Give i(u). -4 Let q(p) be the third derivative of -p**4/8 + p**3/2 + 3*p**2. Let t(s) = -5*s - 87. Let d be t(-18). Determine q(d). -6 Let o(s) = s - 5. Suppose 64 - 58 = -a. Give o(a). -11 Let o(n) be the first derivative of -n + 1/2*n**2 + 15. Calculate o(-4). -5 Let a(t) be the second derivative of -t**3/2 - 3*t**2 + 16*t. Let w be 5/15 - (-13)/(-3). Calculate a(w). 6 Let c(m) be the second derivative of -m**7/504 - m**5/120 + m**4/6 - 2*m. Let p(n) be the third derivative of c(n). Determine p(1). -6 Let v(l) = 41369*l**2 + 3*l - 41370*l**2 + 5*l - 9. Determine v(4). 7 Let f(g) = 3*g - 17. Suppose -113*b = -104*b - 45. Calculate f(b). -2 Let p(o) = -4*o - 19. Let q(x) = 12*x + 54. Let a(s) = 17*p(s) + 6*q(s). Calculate a(7). 29 Let y(d) = 6*d**2 - 5*d - 18. Let r(j) = -j**2 + 2. Let q(p) = 5*r(p) + y(p). Determine q(6). -2 Let m(x) = -x**2 - 5*x + 11. Let d be m(-6). Let i(j) = 2*j**2 - 2*j. Let b(r) = 3*r**2 - 5*r + 1. Let y(v) = d*i(v) - 3*b(v). Give y(-5). -3 Let m(t) be the first derivative of t**3/3 + t**2/2 + 2*t + 48. Let c = -9 - -13. Suppose -3*n - 31 = 5*j, -2*n + c*j = -j - 21. Calculate m(n). 4 Let l(u) be the second derivative of 0 + 1/20*u**5 + 1/3*u**3 - 1/2*u**2 + 1/12*u**4 - 33*u. Give l(2). 15 Let b(x) be the second derivative of x**7/210 + x**6/360 - x**5/120 + 2*x**3 + 10*x. Let w(m) be the second derivative of b(m). Determine w(1). 4 Let v(l) = -l**2 - 6*l + 3. Let u be (-520)/(-50)*(-2)/((-12)/15). Let q = u + -33. What is v(q)? -4 Let s(j) = j**2 + 11*j - 6. Let k be s(-14). Let y = -40 + k. Let a(m) = 3 - 25*m + 27*m - 1. Give a(y). -6 Let k(g) = 2*g**2 - 21*g + 2. Suppose 50 = 3*m + 4*o, -4*o - 20 = -8*o. Determine k(m). -8 Let y be (-2 + 1 - -4) + (-43 - -44). Let d(j) = 2 - 3*j**2 - 1 + 6 + y*j**2 - 5*j. Determine d(5). 7 Let n(z) be the second derivative of -1/2*z**3 - 5/12*z**4 + 1/20*z**5 + 2*z**2 + 0 + 15*z. What is n(5)? -11 Let j(d) = d**2 + 9*d + 12. Suppose -151 = 13*s - 73. Determine j(s). -6 Let k(u) = 4*u + 10. Suppose -2*a = n + a + 23, 2 = n - 2*a. Give k(n). -22 Let c(n) = -5*n - 20. Let t(g) = 2*g + 7. Let m(r) = -3*c(r) - 8*t(r). Suppose 8 = -3*a + 4*d, 5*d - 49 = -a - 20. Calculate m(a). 0 Let g(l) = 2*l**3 + 0*l**3 + 8*l**2 - 8*l + 4 - l**3. Let y be 5*15/(-10)*(-36)/(-30). Calculate g(y). -5 Let y(g) be the third derivative of g**6/120 - 2*g**5/15 + g**4/4 - 3*g**3/2 - 4*g**2 + 13. Calculate y(7). -16 Let l(a) = a + 7. Suppose 18*t - 13*t = 30. Suppose -11*q - 35 = -t*q. Give l(q). 0 Let v(y) = -y + 11. Suppose -13*u = -9*u - 16, 4*u + 4 = 2*w. Determine v(w). 1 Let f(w) = w**3 + 3*w**2 - 4*w - 7. Let q(b) = 3*b**3 + 8*b**2 - 13*b - 22. Suppose 0 = -7*z + 12*z + 10. Let x(h) = z*q(h) + 7*f(h). Give x(-5). 5 Let d = 15 - 8. Let l(u) be the third derivative of u**5/60 - 7*u**4/24 + u**3 + 3*u**2 - 3. Determine l(d). 6 Let n(b) = -13 - 4*b**3 + b - 16 - b**2 + 29. Suppose -4*x + 2*x + 5 = -o, -2*x + 6 = -2*o. Let u = 2 + o. What is n(u)? -4 Let b(v) = v**3 - v**2 - 5. Let u(d) = -d + 5. Let r be u(4). Let c be 1/(-2 + 1/r). Let i be 0/((-2)/(-1) + c). Determine b(i). -5 Let o be (-40)/(-6) + (-2)/3. Suppose 8*c + 2*c = 20. Let a(p) = 8*p - 32 + 17 - 8*p**c + 6 + p**2 + p**3. Determine a(o). 3 Let k(b) = b**3 - b - 1. Suppose -8*m = -5*m + 9. Let f(i) = 4*i + 4. Let z(y) = m*k(y) - f(y). Suppose 0*q = 2*q + 2. Calculate z(q). 3 Suppose 0 = 5*v + 4*t - 1, 7*v - 2*t = 3*v - 20. Let p = 12 - 12. Let m(a) = 2*a + p + 3 + 10*a**3 + 4*a**2 - 5*a**2 - 11*a**3. Determine m(v). 15 Let a(v) = v**2 + 8 - 15*v**3 - v - 103*v**3 + 117*v**3. Give a(0). 8 Suppose 5*a - 4 = a. Let l(h) = 19*h**2 - 2*h + 7. Let y(z) = -42*z**2 + 4*z - 15. Let p(n) = -13*l(n) - 6*y(n). Determine p(a). 6 Let x(o) = o**3 + 26*o**2 - 314*o - 15. Let i be x(9). Let y(u) be the third derivative of -u**4/24 - 2*u**3/3 - u**2. What is y(i)? 2 Let z = 104 - 111. Let m(h) = h**3 + 8*h**2 + 7*h - 15. Give m(z). -15 Let v(l) = l**3 - 5*l**2 - 6*l + 2. Suppose 0 = -81*x + 8*x + 438. What is v(x)? 2 Let f(b) = 10*b**2 + b**3 + 3 - 11*b**2 + 4*b**2 + 0 + b + 2. Calculate f(-3). 2 Let o(t) = 3*t**2 - 4*t + 4. Let u = 683 + -681. What is o(u)? 8 Suppose 3*h = 2*c - 12, 0 = h + 4*c - 6*c. Let i(b) = -b**2 - 5*b + 4. Calculate i(h). -2 Let z(s) = s + 1. Let r be z(2). Suppose 5*c - r*c = 60. Let n(t) = 21 + c - 45 - 2*t. Give n(7). -8 Let s(w) = -w**2 - 17*w - 20. Let u(b) = b**2 + 8*b + 11. Let h(c) = 3*s(c) + 5*u(c). What is h(8)? 35 Suppose 9*f - 206 + 170 = 0. Let k(p) = -p**3 + 4*p**2 - 4*p + 3. Give k(f). -13 Let l = 83 + -89. Let m(k) = -k**2 - 7*k - 1. What is m(l)? 5 Let b(y) = -136 + 2*y + 135 - 5*y + 0*y. Calculate b(5). -16 Let k = -60 + 61. Let d = 6 - 4. Let m be (k*(0 - d))/1. Let a(p) = -2*p + 1. Determine a(m). 5 Let a(r) = 5 + 0*r - 3*r - 6 + 2*r. Let h be (-4)/(-10) + 264/15. Let d = -13 + h. Give a(d). -6 Let l = -1506 - -1515. Let v(g) = -g**3 + 14*g**2 - 45*g - 3. Calculate v(l). -3 Let i(a) = -15*a**3 - 22*a**2 + 5*a + 21*a**2 - 12*a + 6*a. Calculate i(-1). 15 Let l(y) = 2*y**3 + y**2 + y + 1. Let b(z) = -80*z**3 - 3 - 4*z**2 - 3*z - 88*z**3 + 163*z**3. Let k(v) = -3*b(v) - 8*l(v). Determine k(4). 5 Suppose 0 = -0*c + 3*c - 15. Suppose 3*v = -4*m - 4 + 2, -c*v - 2*m = 22. Let t(d) = d**3 + 6*d**2 + d + 4. Determine t(v). -2 Let k = 95 + -77. Suppose 0 = -j - 4*d + k, 4*d - 11 = 3*j - 1. Let a(z) = z + 2. What is a(j)? 4 Let b(s) = -s**2 - 15*s - 50. Let o = 79 + -90. Let a be b(o). Let f(l) = -l**2 - 6*l - 8. Give f(a). -8 Let q(p) = 5*p**3 - 11*p**2 - 52*p - 36. Let w(j) = -j**3 + 2*j**2 + 10*j + 7. Let l(g) = -2*q(g) - 11*w(g). Give l(3). 4 Suppose -2*a + 6 = -5*n, 4*n - 9 = -2*a - a. Let y(f) = 5*f + f**a - 7*f**2 + f**3 - 2 - f**3. Give y(6). -8 Let q(n) = n - 64 + 120 - 58. What is q(-5)? -7 Let n(q) = -q - 17. Let u be n(-21). Suppose -u*k = 5*m, 5*k + m - 9 - 12 = 0. Let b(s) = 3 - 5*s - 5 + s + s**2. What is b(k)? 3 Let s(t) = t**2 + 7*t - 1. Let j(v) = 8*v**2 + 44*v - 13. Let q(d) = j(d) - 6*s(d). What is q(-3)? 5 Let v(z) be the second derivative of -z**4/12 - z**3/6 - 8*z**2 + 62*z. Give v(0). -16 Suppose 5 = 2*m - 7*m. Suppose 0 = 5*l - 3*c - 0*c - 13, c = -5*l + 9. Let i(k) = l + 8*k + 6*k - 1 - 4*k. Calculate i(m). -9 Let h = 17 + -13. Suppose 4*z - 3*z - h = 0. Let l(f) = 4*f - 5*f - z + 15 + 2*f. What is l(0)? 11 Let y = -220 - -229. Let w(i) = -2*i + 12. Give w(y). -6 Let p(d) = -7*d**3 + 3*d**2 - 2. Let c be p(2). Let o = c + 39. Let k(a) = 6 + 0*a + a + 4. Give k(o). 3 Let i = 29 + -34. Let a(d) = 6*d - 5. What is a(i)? -35 Let a(h) be the first derivative of -h**4/4 - 5*h**3/3 - h**2 - 3*h - 117. Determine a(-5). 7 Suppose -39 - 3 = -14*i. Let a(y) = y + 5 - 379*y**3 + y**2 - 1 + 378*y**i. Calculate a(0). 4 Let c(u) = 2*u**2 - u - 2. Let y(j) = -5*j**2 + 5*j + 4. Let r(v) = 4*c(v) + y(v). Give r(3). 26 Let x
{ "pile_set_name": "DM Mathematics" }
6816, 205966, 275116, 344266? 413416 What comes next: 72342, 72394, 72538, 72822, 73294, 74002, 74994? 76318 What is next in 2764072, 5528128, 8292184? 11056240 What is the next term in 1411809, 2823224, 4234639, 5646054, 7057469? 8468884 What is the next term in -7350567, -14701133, -22051699, -29402265? -36752831 What is the next term in -120, -2068, -7724, -18942, -37576, -65480? -104508 What is the next term in -51165488, -51165494, -51165500, -51165506, -51165512? -51165518 What comes next: 11623, 46500, 104621, 185986, 290595, 418448, 569545? 743886 What is the next term in -591449, -1182899, -1774349, -2365799? -2957249 What comes next: 2148001, 2147990, 2147981, 2147974, 2147969, 2147966, 2147965? 2147966 What is next in 219, 300, 373, 396, 327? 124 What comes next: 1719, 3394, 5037, 6648, 8227, 9774, 11289? 12772 What comes next: 82115050, 164230102, 246345154, 328460206, 410575258, 492690310? 574805362 What comes next: 3622969, 7245954, 10868939? 14491924 What is next in 599, 356, -303, -1588, -3709, -6876, -11299, -17188? -24753 What is the next term in 208, 313, 598, 1147, 2044? 3373 What is next in -13225025, -26450050, -39675075? -52900100 What comes next: -498, -659, -878, -1173, -1562, -2063, -2694? -3473 What is next in 918379, 918383, 918413, 918481, 918599, 918779, 919033, 919373? 919811 What is next in 836, 2927, 6268, 10859? 16700 What is the next term in 1591907159, 1591907166, 1591907185, 1591907222, 1591907283, 1591907374, 1591907501? 1591907670 What comes next: -8884, -17392, -25524, -33280, -40660, -47664, -54292? -60544 What comes next: -1472432, -2944866, -4417298, -5889728, -7362156? -8834582 What comes next: 76729, 306880, 690465, 1227484, 1917937, 2761824, 3759145? 4909900 What is next in 11318, 45334, 102028, 181400? 283450 What comes next: 587458, 586822, 586186, 585550, 584914? 584278 What comes next: 988420386, 988420388, 988420390, 988420392? 988420394 What is next in 228, 1298, 3932, 8826, 16676, 28178, 44028? 64922 What comes next: -916, -2026, -3144, -4270, -5404? -6546 What comes next: 567, -4353, -9263, -14157, -19029, -23873, -28683? -33453 What is the next term in 229538, 457065, 684592, 912119, 1139646, 1367173? 1594700 What is next in 1748509, 3497024, 5245539, 6994054, 8742569, 10491084? 12239599 What is next in 3976, 7956, 11886, 15748, 19524, 23196, 26746, 30156? 33408 What comes next: -2394, -2282, -1958, -1314, -242, 1366, 3618, 6622? 10486 What is the next term in 43307, 39640, 35973, 32306, 28639? 24972 What is next in 14633, 29269, 43873, 58445, 72985, 87493, 101969? 116413 What is the next term in 6813380726, 6813380727, 6813380728, 6813380729, 6813380730? 6813380731 What comes next: -6993, -8462, -9929, -11394, -12857, -14318? -15777 What is the next term in 8186, 32802, 73822, 131234, 205026, 295186? 401702 What is the next term in -134137, -134159, -134213, -134311, -134465? -134687 What is the next term in 222084, 222092, 222108, 222132? 222164 What is the next term in 58409, 467332, 1577287, 3738794, 7302373, 12618544? 20037827 What is next in 135392, 270827, 406262, 541697? 677132 What comes next: 3327554, 6655107, 9982660, 13310213? 16637766 What comes next: 27165, 108433, 243843, 433389, 677065, 974865, 1326783? 1732813 What comes next: 55389388, 55389390, 55389394, 55389400, 55389408? 55389418 What is the next term in -115538906, -231077805, -346616704, -462155603, -577694502? -693233401 What is next in 7082, 13646, 20212, 26780, 33350, 39922, 46496? 53072 What is next in 47615641, 95231284, 142846927, 190462570, 238078213? 285693856 What is next in 6264208, 12528417, 18792626, 25056835, 31321044, 37585253? 43849462 What comes next: -180409, -360769, -541129, -721489, -901849? -1082209 What is the next term in 245, 2123, 7287, 17405, 34145, 59175? 94163 What is the next term in -1060, -4970, -11730, -21340, -33800? -49110 What is the next term in 239172, 239168, 239160, 239148, 239132, 239112? 239088 What comes next: -21, -1916, -5187, -9834, -15857, -23256? -32031 What is the next term in 4244285, 8488570, 12732855, 16977140, 21221425, 25465710? 29709995 What is next in -5434, -5188, -4594, -3478, -1666, 1016? 4742 What is the next term in -6006301, -6006289, -6006261, -6006211, -6006133, -6006021, -6005869, -6005671? -6005421 What comes next: -15777, -14092, -12407, -10722, -9037? -7352 What is next in -31082443, -31082417, -31082375, -31082317, -31082243? -31082153 What is the next term in -21636, -23058, -24480, -25902? -27324 What is the next term in -5636, -44894, -151448, -358946, -701036, -1211366, -1923584? -2871338 What is next in -7324, -26628, -58798, -103834, -161736, -232504, -316138? -412638 What comes next: 4798, 4878, 4978, 5098, 5238, 5398, 5578? 5778 What is next in 57896, 58421, 58946? 59471 What comes next: 482, 2065, 5858, 12965, 24490, 41537? 65210 What comes next: -343, -1166, -2541, -4468, -6947? -9978 What is next in -1370, -2655, -3862, -4991? -6042 What comes next: -36739821, -36739823, -36739825, -36739827, -36739829, -36739831? -36739833 What is next in -1290, -2621, -4012, -5463, -6974, -8545, -10176? -11867 What is the next term in 5088229, 5088219, 5088209, 5088199, 5088189? 5088179 What comes next: 162976, 162589, 162202, 161815? 161428 What is next in -186640, -373337, -560034? -746731 What is next in -339562, -339565, -339568, -339571? -339574 What is the next term in 1378, 2663, 3948? 5233 What is the next term in 199, 312, 257, 58, -261, -676? -1163 What comes next: -701, -279, 1005, 3583, 7887, 14349, 23401, 35475? 51003 What is next in 356051179, 356051177, 356051175, 356051173, 356051171? 356051169 What is the next term in 3190, 14799, 34838, 63319, 100254, 145655, 199534? 261903 What is next in -7172, -15697, -25578, -36815, -49408, -63357? -78662 What is next in -3998867, -3998863, -3998859? -3998855 What is the next term in 7376, 14696, 21976, 29222, 36440, 43636, 50816, 57986? 65152 What is the next term in -1016, -2828, -5768, -9842, -15056, -21416? -28928 What is the next term in 15519, 15192, 14865, 14538, 14211, 13884? 13557 What comes next: 91670, 366955, 825764, 1468097, 2293954, 3303335? 4496240 What is the next term in 72639, 290664, 654083, 1162896, 1817103, 2616704, 3561699? 4652088 What is the next term in 101, 209, 321, 437, 557, 681? 809 What is next in 135566, 271961, 408354, 544745, 681134, 817521, 953906? 1090289 What is next in -1391, 757, 4337, 9349, 15793, 23669? 32977 What comes next: -905, -4450, -10387, -18710, -29413? -42490 What is the next term in 15921, 31787, 47657, 63531, 79409, 95291, 111177? 127067 What comes next: 10361, 26180, 41999, 57818? 73637 What is the next term in 143250, 286249, 428754, 570519, 711298? 850845 What is next in -56, 6, 300, 952, 2088, 3834? 6316 What is next in 43316, 173749, 391298, 695963? 1087744 What comes next: 210, 876, 2034, 3720, 5970, 8820, 12306? 16464 What comes next: -17912067, -17912066, -17912065, -17912064, -17912063? -17912062 What comes next: 146661, 293456, 440383, 587442, 734633, 881956, 1029411? 1176998 What comes next: -7451, -12209, -16967? -21725 What is next in -1624, -2460, -3592, -5014, -6720, -8704, -10960? -13482 What comes next: 1215, 4783, 10649, 18747, 29011, 41375, 55773? 72139 What is the next term in 383716, 383630, 383488, 383290, 383036, 382726? 382360 What comes next: -5128849, -5128850, -5128851, -5128852, -5128853, -5128854? -5128855 What comes next: -2997008, -2997011, -2997014, -2997017, -2997020? -2997023 What is the next term in 13096987, 13096991, 13096995, 13096999, 13097003, 13097007? 13097011 What is the next term in -85629, -85658, -85707, -85782, -85889, -86034, -86223? -86462 What is next in -3388, -14674, -33864, -60970, -96004, -138978, -189904, -248794? -315660 What is next in 81503510, 81503511, 81503512, 81503513, 81503514, 81503515? 81503516 What comes next: 1019948, 1019975, 1020002, 1020029, 1020056, 1020083? 1020110 What comes next: 1761, 12803, 42777, 101151, 197393, 340971, 541353? 808007 What is the next term in -1198282, -1198278, -1198254, -1198198, -1198098, -1197942? -1197718 What comes next: 5356407, 10712788, 16069169, 21425550, 26781931, 32138312? 37494693 What is the next term in 6914741, 6914736, 6914735, 6914
{ "pile_set_name": "DM Mathematics" }
- 835*g + 2 What is the w'th term of 2, 29, 64, 101, 134? -w**3 + 10*w**2 + 4*w - 11 What is the o'th term of 70, 76, 92, 124, 178, 260? o**3 - o**2 + 2*o + 68 What is the w'th term of -46, -42, -36, -28, -18? w**2 + w - 48 What is the m'th term of 3, -5, -35, -99, -209? -2*m**3 + m**2 + 3*m + 1 What is the n'th term of 16, 49, 82, 115, 148? 33*n - 17 What is the j'th term of -218, -432, -644, -854? j**2 - 217*j - 2 What is the c'th term of 70, 64, 58, 52? -6*c + 76 What is the y'th term of 3, 27, 67, 129, 219? y**3 + 2*y**2 + 11*y - 11 What is the k'th term of 135, 275, 429, 603, 803, 1035? k**3 + k**2 + 130*k + 3 What is the w'th term of 288, 567, 846, 1125? 279*w + 9 What is the u'th term of -52, -104, -156? -52*u What is the y'th term of -13, 5, 29, 65, 119, 197, 305, 449? y**3 - 3*y**2 + 20*y - 31 What is the f'th term of -1362, -2729, -4082, -5415, -6722? f**3 + f**2 - 1377*f + 13 What is the n'th term of -12, -14, -12, -6? 2*n**2 - 8*n - 6 What is the v'th term of -645, -640, -633, -624, -613? v**2 + 2*v - 648 What is the g'th term of 290, 285, 280? -5*g + 295 What is the b'th term of 7, 20, 57, 130, 251, 432, 685, 1022? 2*b**3 - b + 6 What is the b'th term of -1028, -2064, -3114, -4184, -5280? -b**3 - b**2 - 1026*b What is the i'th term of -2376, -4747, -7116, -9483, -11848, -14211? i**2 - 2374*i - 3 What is the i'th term of 1501, 1498, 1493, 1486, 1477? -i**2 + 1502 What is the o'th term of 7756, 15513, 23270, 31027, 38784, 46541? 7757*o - 1 What is the f'th term of 52, 41, 24, 1, -28, -63? -3*f**2 - 2*f + 57 What is the s'th term of 243, 487, 731, 975, 1219? 244*s - 1 What is the x'th term of -66, -259, -582, -1041, -1642, -2391, -3294? -x**3 - 59*x**2 - 9*x + 3 What is the z'th term of -21, -6, 35, 114, 243, 434? 2*z**3 + z**2 - 2*z - 22 What is the r'th term of 32, 40, 48, 56? 8*r + 24 What is the q'th term of -2421, -2423, -2425, -2427? -2*q - 2419 What is the i'th term of -119, -235, -353, -473, -595? -i**2 - 113*i - 5 What is the i'th term of -42, -65, -88? -23*i - 19 What is the c'th term of 62, 119, 168, 203, 218, 207, 164, 83? -c**3 + 2*c**2 + 58*c + 3 What is the g'th term of 9, 5, -25, -93, -211? -2*g**3 - g**2 + 13*g - 1 What is the t'th term of 9, 21, 45, 87, 153, 249? t**3 + 5*t + 3 What is the m'th term of -680, -682, -684, -686, -688? -2*m - 678 What is the s'th term of 9040, 9038, 9036, 9034, 9032? -2*s + 9042 What is the a'th term of -66, -81, -110, -159, -234, -341? -a**3 - a**2 - 5*a - 59 What is the j'th term of -45, -78, -101, -108, -93, -50, 27, 144? j**3 - j**2 - 37*j - 8 What is the q'th term of -1801, -1802, -1803? -q - 1800 What is the m'th term of 53, 220, 507, 920, 1465, 2148, 2975? m**3 + 54*m**2 - 2*m What is the u'th term of 39, 94, 191, 336, 535, 794, 1119, 1516? u**3 + 15*u**2 + 3*u + 20 What is the r'th term of -584, -582, -580, -578, -576? 2*r - 586 What is the s'th term of -910, -911, -912? -s - 909 What is the s'th term of -532, -1062, -1592, -2122, -2652, -3182? -530*s - 2 What is the d'th term of 46495, 46502, 46519, 46552, 46607, 46690, 46807? d**3 - d**2 + 3*d + 46492 What is the o'th term of -2, -11, -38, -95, -194? -2*o**3 + 3*o**2 - 4*o + 1 What is the w'th term of -15, 22, 127, 336, 685, 1210, 1947, 2932? 6*w**3 - 2*w**2 + w - 20 What is the n'th term of 3800, 7596, 11390, 15182? -n**2 + 3799*n + 2 What is the i'th term of 231, 467, 705, 945? i**2 + 233*i - 3 What is the w'th term of 55, 79, 81, 49, -29, -165, -371, -659? -2*w**3 + w**2 + 35*w + 21 What is the y'th term of -1123, -1117, -1107, -1093? 2*y**2 - 1125 What is the n'th term of 4621, 4633, 4647, 4657, 4657? -n**3 + 7*n**2 - 2*n + 4617 What is the k'th term of 11, 45, 103, 185, 291, 421, 575? 12*k**2 - 2*k + 1 What is the c'th term of -364, -357, -338, -301, -240, -149? c**3 - 365 What is the l'th term of -129, -127, -125, -123, -121, -119? 2*l - 131 What is the i'th term of -57, -124, -191, -258, -325, -392? -67*i + 10 What is the t'th term of -2287, -2288, -2289, -2290, -2291? -t - 2286 What is the p'th term of 93, 182, 271, 360, 449, 538? 89*p + 4 What is the x'th term of -10, -16, -22? -6*x - 4 What is the q'th term of -6, 3, 24, 57, 102, 159? 6*q**2 - 9*q - 3 What is the s'th term of -27, -47, -63, -75, -83? 2*s**2 - 26*s - 3 What is the f'th term of 1181, 4721, 10621, 18881, 29501, 42481, 57821? 1180*f**2 + 1 What is the n'th term of 2, 44, 122, 242, 410, 632, 914, 1262? n**3 + 12*n**2 - n - 10 What is the q'th term of -23, -33, -59, -107, -183? -q**3 - 2*q**2 + 3*q - 23 What is the y'th term of -100, -428, -974, -1738, -2720? -109*y**2 - y + 10 What is the d'th term of -2322, -4646, -6970, -9294, -11618, -13942? -2324*d + 2 What is the r'th term of 55, 192, 329? 137*r - 82 What is the l'th term of 116, 118, 118, 116, 112, 106? -l**2 + 5*l + 112 What is the n'th term of -4057, -8132, -12217, -16318, -20441? -n**3 + n**2 - 4071*n + 14 What is the n'th term of -97, -72, -47, -22, 3, 28? 25*n - 122 What is the f'th term of 116, 220, 308, 374, 412? -f**3 - 2*f**2 + 117*f + 2 What is the i'th term of 85, 88, 103, 136, 193, 280? i**3 - 4*i + 88 What is the k'th term of -48, -81, -66, 21, 204, 507, 954? 4*k**3 - 61*k + 9 What is the j'th term of -22, -19, -6, 17? 5*j**2 - 12*j - 15 What is the s'th term of -105, -225, -347, -471, -597, -725, -855? -s**2 - 117*s + 13 What is the n'th term of -1224, -1228, -1234, -1242, -1252, -1264, -1278? -n**2 - n - 1222 What is the f'th term of -10982, -21963, -32944, -43925, -54906, -65887? -10981*f - 1 What is the f'th term of -1135, -2268, -3399, -4528? f**2 - 1136*f What is the d'th term of 353, 1409, 3169, 5633, 8801, 12673? 352*d**2 + 1 What is the y'th term of -70, -66, -62? 4*y - 74 What is the b'th term of -2, 6, 20, 40, 66? 3*b**2 - b - 4 What is the x'th term of 3020, 3050, 3100, 3170, 3260? 10*x**2 + 3010 What is the j'th term of -97, -63, -29, 5? 34*j - 131 What is the w'th term of 5, 22, 55, 110, 193, 310? w**3 + 2*w**2 + 4*w - 2 What is the i'th term of -148, -611, -1388, -2485, -3908, -5663, -7756? -i**3 - 151*i**2 - 3*i + 7 What is the p'th term of 658, 1315, 1962, 2593, 3202, 3783? -p**3 + p**2 + 661*p - 3 What is the b'th term of 163, 630, 1409, 2500, 3903, 5618, 7645? 156*b**2 - b + 8 What is the p'th term of -317, -1268, -2853, -5072, -7925, -11412? -317*p**2 What is the b'th term of -5, 16, 39, 52, 43, 0, -89, -236? -2*b**3 + 13*b**2 - 4*b - 12 What is the j'th term of 16, -24, -82, -152, -228? j**3 - 15*j**2 - 2*j + 32 What is the x'th term of -2472, -2465, -2446, -2409, -2348? x**3 - 2473 What is the b'th term of 27, 16, -9, -54, -125, -228, -369? -b**3 - b**2 - b + 30 What is the m'th term of 727, 729, 731, 733? 2*m + 725 What is the w'th term of 254, 509, 760, 1007, 1250, 1489, 1724? -2*w**2 + 261*w - 5 What is the p'th term of -111, -108, -107, -108, -111? -p**2 + 6*p - 116 What is the k'th term of -107, -433, -977, -1739? -109*k**2 + k + 1 What is the z'th term of -364, -506, -648, -790, -932? -142*z - 222 What is the g'th term of 112, 114, 116, 118, 120, 122? 2*g + 110 What is the l'th term of 40, 67, 94, 121, 148? 27*l + 13 What is the n'th term of 20, 61, 124, 203, 292, 385, 476, 559? -n**3 + 17*n**2 - 3*n + 7 What is the r'th term of 27, 22, 13, 0? -2*r**2 + r + 28 What is the q'th term of 1140, 2281, 3422? 1141*q - 1 What is the x'th term of 27, 29, 33, 39, 47, 57, 69? x**2 - x + 27 What is the z'th term of -2, -6, -12, -20, -30? -z**2 - z What is the a'th term of -199, -205, -213, -223? -a**2 - 3*a - 195 What is the f'th term of -172, -100, -28, 44, 116, 188? 72*f - 244 What is the a'th term of 25, 48, 75, 106, 141? 2*a**2 + 17*a + 6 What is the o'th term of -1049, -2097, -3145, -4193, -5241? -1048*o - 1 What is the q'th term of 68, 277, 630, 1127, 1768, 2553, 3482? 72*q**2 - 7*q + 3 What is the g'th term of -34, -139, -314, -559? -35*g**2 + 1 What is the h'th term of -26, -36, -46, -56, -66, -76? -10*h - 16 What is the h'th term of 504, 516, 540, 582, 648? h**3 + 5*h + 498 What is the l'th term of 77, 166, 257, 350, 445, 542, 641? l**2 + 86*l - 10 What is the l'th term of -69, -131, -191, -249, -305, -359, -411? l**2 - 65*l - 5 What is the h'th term of 405, 421, 453, 507, 589? h**3 + 2*h**2 + 3*h + 399 What is the u'th term of -681, -690, -711, -750, -813
{ "pile_set_name": "DM Mathematics" }
culate prob of picking 2 b when two letters picked without replacement from bbbbnbbbnnb. 28/55 Two letters picked without replacement from {t: 1, m: 1, d: 1}. What is prob of picking 1 t and 1 d? 1/3 Calculate prob of picking 3 m and 1 p when four letters picked without replacement from mmcpczmmp. 4/63 Two letters picked without replacement from sfsdsrtfsastad. What is prob of picking 1 t and 1 f? 4/91 Calculate prob of picking 2 f and 1 n when three letters picked without replacement from {f: 5, z: 1, n: 5, j: 1}. 5/22 Two letters picked without replacement from qqoqttqttqtthtqtht. What is prob of picking 1 q and 1 o? 2/51 What is prob of picking 3 q when three letters picked without replacement from {o: 8, q: 3, c: 6}? 1/680 Two letters picked without replacement from zizi. Give prob of picking 2 z. 1/6 What is prob of picking 3 n and 1 f when four letters picked without replacement from {c: 3, n: 5, f: 3}? 1/11 Calculate prob of picking 1 z and 2 l when three letters picked without replacement from lzlallzlall. 14/55 Three letters picked without replacement from wssldggzgzsszz. Give prob of picking 1 z, 1 d, and 1 g. 3/91 Four letters picked without replacement from {m: 2, c: 1, q: 1, g: 1, h: 1, k: 1}. What is prob of picking 1 h, 1 c, and 2 m? 1/35 What is prob of picking 1 g, 1 n, 1 i, and 1 k when four letters picked without replacement from {k: 1, n: 1, i: 1, g: 2}? 2/5 Two letters picked without replacement from {j: 1, k: 3}. What is prob of picking 2 k? 1/2 Two letters picked without replacement from {y: 1, j: 2, q: 8, l: 4}. What is prob of picking 1 l and 1 q? 32/105 Three letters picked without replacement from {e: 3}. What is prob of picking 3 e? 1 Three letters picked without replacement from ninifit. Give prob of picking 1 f and 2 n. 1/35 Four letters picked without replacement from {c: 1, v: 7, q: 1, g: 2, e: 2, a: 1}. Give prob of picking 2 g and 2 v. 3/143 Calculate prob of picking 1 e and 1 r when two letters picked without replacement from jnegr. 1/10 What is prob of picking 1 t, 1 i, and 1 l when three letters picked without replacement from {i: 9, l: 6, t: 2}? 27/170 What is prob of picking 1 v and 1 u when two letters picked without replacement from {q: 2, w: 2, v: 1, u: 1, p: 4}? 1/45 Four letters picked without replacement from {m: 3, k: 4}. What is prob of picking 4 k? 1/35 Two letters picked without replacement from qqqqqllqq. Give prob of picking 2 q. 7/12 What is prob of picking 1 h and 1 e when two letters picked without replacement from cccccehhehhheecc? 1/6 Three letters picked without replacement from czxkczxncskkx. Give prob of picking 1 s, 1 k, and 1 n. 3/286 Three letters picked without replacement from {q: 2, j: 6, w: 3, s: 1}. Give prob of picking 2 q and 1 w. 3/220 Calculate prob of picking 4 k when four letters picked without replacement from kkpppkpppkppppkp. 1/364 What is prob of picking 1 s and 1 k when two letters picked without replacement from {s: 6, g: 2, k: 7}? 2/5 Calculate prob of picking 2 p when two letters picked without replacement from pppp. 1 What is prob of picking 1 y and 2 f when three letters picked without replacement from fffffyffffyffyffffff? 34/95 What is prob of picking 2 u and 1 y when three letters picked without replacement from {o: 1, u: 7, d: 4, y: 1, a: 4}? 21/680 What is prob of picking 3 o when three letters picked without replacement from uuomluemonou? 1/220 What is prob of picking 1 n and 2 b when three letters picked without replacement from {n: 3, b: 13}? 117/280 Four letters picked without replacement from aazaaaazaaaaaaaaaa. Give prob of picking 4 a. 91/153 Calculate prob of picking 2 w and 2 g when four letters picked without replacement from {a: 9, w: 6, g: 2}. 3/476 What is prob of picking 4 n when four letters picked without replacement from {n: 13, v: 5}? 143/612 What is prob of picking 2 s and 1 l when three letters picked without replacement from lsllsssssnlllll? 24/91 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {l: 1, u: 1, s: 4, t: 1, a: 1}. 1/28 Three letters picked without replacement from {o: 4, g: 4, s: 1, y: 2, w: 3, a: 3}. What is prob of picking 1 o, 1 w, and 1 y? 3/85 Four letters picked without replacement from {e: 5, r: 6, o: 5, g: 1, v: 1, n: 2}. What is prob of picking 2 e, 1 r, and 1 n? 8/323 Four letters picked without replacement from {r: 5, u: 1, y: 11}. Give prob of picking 1 u and 3 y. 33/476 Four letters picked without replacement from oogogogo. What is prob of picking 4 o? 1/14 Calculate prob of picking 2 x when two letters picked without replacement from {j: 2, t: 1, x: 2, a: 1, m: 1}. 1/21 Two letters picked without replacement from {c: 1, n: 1, p: 2, d: 1}. What is prob of picking 1 n and 1 c? 1/10 Four letters picked without replacement from {b: 4, z: 5, u: 1, m: 3, c: 1}. Give prob of picking 2 z and 2 b. 60/1001 Four letters picked without replacement from {p: 3, z: 3, x: 6, e: 1, m: 3}. What is prob of picking 1 m and 3 p? 3/1820 What is prob of picking 1 a and 3 n when four letters picked without replacement from {a: 2, n: 3}? 2/5 What is prob of picking 1 n, 2 g, and 1 r when four letters picked without replacement from gngcgnccnmgrcgng? 3/91 Four letters picked without replacement from {o: 8, p: 4, h: 3, d: 2, e: 2}. Give prob of picking 3 p and 1 h. 1/323 Calculate prob of picking 1 w and 1 v when two letters picked without replacement from wwwvwv. 8/15 Three letters picked without replacement from {x: 1, v: 1, q: 1, k: 1, d: 4}. What is prob of picking 1 x, 1 v, and 1 q? 1/56 Two letters picked without replacement from {w: 2, y: 2}. What is prob of picking 1 y and 1 w? 2/3 Two letters picked without replacement from rzzrzkkrzlszszzsrk. What is prob of picking 1 s and 1 r? 4/51 Two letters picked without replacement from juu. What is prob of picking 2 u? 1/3 Three letters picked without replacement from igrrzgyzzz. What is prob of picking 1 y and 2 g? 1/120 Three letters picked without replacement from ailkr. What is prob of picking 1 i, 1 r, and 1 k? 1/10 Four letters picked without replacement from ooolloldlolllldolll. Give prob of picking 2 l and 2 o. 275/1292 What is prob of picking 4 c when four letters picked without replacement from {x: 4, h: 2, q: 2, c: 5, e: 1}? 5/1001 Two letters picked without replacement from {q: 5, w: 2}. What is prob of picking 2 w? 1/21 Calculate prob of picking 2 d and 2 q when four letters picked without replacement from {d: 4, o: 7, q: 6, m: 1, f: 2}. 6/323 Calculate prob of picking 3 l and 1 n when four letters picked without replacement from lknymmnsmlsnl. 3/715 Four letters picked without replacement from rrcrrccrrrcrrc. What is prob of picking 4 r? 18/143 Three letters picked without replacement from lblbblbb. What is prob of picking 3 l? 1/56 What is prob of picking 1 o and 1 u when two letters picked without replacement from okjukwd? 1/21 What is prob of picking 3 g when three letters picked without replacement from {z: 10, v: 4, g: 5}? 10/969 What is prob of picking 2 c when two letters picked without replacement from {f: 5, h: 5, c: 4}? 6/91 Two letters picked without replacement from {r: 1, j: 4, o: 1, y: 1, x: 1}. Give prob of picking 2 j. 3/14 What is prob of picking 1 q and 1 i when two letters picked without replacement from {c: 3, a: 1, i: 2, q: 1}? 2/21 Four letters picked without replacement from uruxuggrgxuggxrgu. What is prob of picking 1 r, 1 g, 1 u, and 1 x? 27/238 Four letters picked without replacement from hssxcyscsxccycsc. Give prob of picking 1 s and 3 c. 5/91 Two letters picked without replacement from {h: 14, e: 1, g: 2, t: 2}. What is prob of picking 2 h? 91/171 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {i: 2, u: 4}. 8/15 Calculate prob of picking 1 c and 3 q when four letters picked without replacement from cqqqqccmqcmq. 16/99 Two letters picked without replacement from {k: 1, p: 1, h: 6, e: 1, q: 1, a: 1}. Give prob of picking 1 h and 1 k. 6/55 What is prob of picking 1 h and 2 i when three letters picked without replacement from ihiiiiiiiiihi? 5/13 Calculate prob of picking 4 k when four letters picked without replacement from xkkxkkkk. 3/14 Three letters picked without
{ "pile_set_name": "DM Mathematics" }
is the first derivative of 4*t - t + 4 + 3*t + u wrt t? 6 Let x(v) be the second derivative of 7*v**6/30 + v**4 - 8*v. Find the third derivative of x(z) wrt z. 168*z Let f(y) = -y**2 - 1. Let b(j) = -7*j**2 - 2*j - 6. Let q(o) = -b(o) + 6*f(o). Let p be q(-3). Find the second derivative of 2*s - s**3 + s**p + 2*s**3 wrt s. 12*s Let s(h) be the second derivative of -h**9/2160 + h**6/90 + h**4/3 + h. Let c(f) be the third derivative of s(f). Find the second derivative of c(y) wrt y. -84*y**2 What is the third derivative of 33*p**4 - 2*p**3 - 227 - 56*p**2 + 227 wrt p? 792*p - 12 Suppose -4*t + 0*t - 4*b = -36, 3*t - 5*b = -13. Find the third derivative of -67 + 67 + t*g**5 - 8*g**2 wrt g. 240*g**2 Let a be -1 + -1 - 8/(-2). Suppose -2*l = v + 4*v + 11, 0 = 2*l + v - 1. Differentiate d**l + 3*d**2 - 1 - 6*d**a with respect to d. -4*d Suppose -50 = -4*s - 5*u, -4*u + 25 = 2*s + 3. What is the third derivative of -q**3 + 8*q**2 + s*q**2 - 14*q**2 wrt q? -6 Let u(f) = 12*f**2 + 14*f + 6. Let w(g) = 12*g**2 + 13*g + 5. Let r(l) = 5*u(l) - 6*w(l). What is the second derivative of r(j) wrt j? -24 Let b(y) be the second derivative of 3/2*y**2 + 0 + 0*y**3 + 2*y + 3/20*y**5 + 0*y**4. Differentiate b(v) wrt v. 9*v**2 Let t(u) be the third derivative of -u**9/42 - u**5/6 + 4*u**2. What is the third derivative of t(y) wrt y? -1440*y**3 Let r(f) = -66*f**4 + 54*f**3 - 27*f + 105. Let n(s) = -5*s**4 + 4*s**3 - 2*s + 8. Let y(w) = 27*n(w) - 2*r(w). Find the first derivative of y(u) wrt u. -12*u**3 Find the first derivative of 384*l**2 - 9 - 384*l**2 + 5*l**4 wrt l. 20*l**3 Let m(s) = 3*s - 3*s + 3 - 2 - 2*s**2. Let z(u) = -5*u**2 + 3. Let d(x) = -9*m(x) + 4*z(x). Differentiate d(t) wrt t. -4*t Let q(j) be the second derivative of -1/3*j**3 + 0*j**6 + 1/42*j**7 - j + 0*j**5 + 0 + 0*j**2 + 0*j**4. What is the second derivative of q(w) wrt w? 20*w**3 Let r(d) = 12*d**4 - 22. Let a(c) = -25*c**4 + 43. Let b(m) = -6*a(m) - 11*r(m). What is the derivative of b(g) wrt g? 72*g**3 What is the second derivative of -9*x + 8*x**5 - 2*x**2 + 4*x**2 - 2*x**2 wrt x? 160*x**3 What is the third derivative of 77*o**2 - 36*o**2 + 5 + 10*o**4 - 39*o**2 + 4*o**5 - 5*o**5 wrt o? -60*o**2 + 240*o Let a(x) = -x + 6. Let k be a(9). Let r = k + 8. Find the second derivative of -n - n**5 + 2*n**r + 0*n wrt n. 20*n**3 Let h(j) be the second derivative of j**4/12 + j**3 + j**2 + 2*j. Let k be h(-6). What is the third derivative of -2*u**k + 5*u**4 - u**4 - 3*u**4 wrt u? 24*u Suppose 3*j + x - 17 = -4*x, -5*j - 5*x + 25 = 0. Find the second derivative of 2 - 2 - 7*f - 8*f**j wrt f. -96*f**2 Let p(l) = 30*l**3 + 7*l**2 - 39*l + 7. Let w(g) = -15*g**3 - 4*g**2 + 20*g - 4. Let j(h) = 4*p(h) + 7*w(h). What is the second derivative of j(t) wrt t? 90*t Let p(t) be the second derivative of t + 0*t**4 + 0*t**2 + 0*t**5 - 1/2*t**3 + 0 + 0*t**6 - 1/42*t**7. What is the second derivative of p(s) wrt s? -20*s**3 Let y(i) be the third derivative of i**7/840 + i**5/30 - i**4/6 + 4*i**2. Let f(q) be the second derivative of y(q). Find the first derivative of f(m) wrt m. 6*m Let h(i) be the first derivative of -2*i**7/105 - 2*i**3/3 + 2*i**2 - 4. Let f(v) be the second derivative of h(v). Find the first derivative of f(u) wrt u. -16*u**3 Suppose 0*i - 3*z = -4*i + 22, 2*z = 5*i - 24. What is the third derivative of 6*l**6 - 4*l**5 + i*l**5 - 3*l**6 + 2*l**2 wrt l? 360*l**3 Let b(t) = t + 11. Let y be b(-10). Find the second derivative of -1 + y - c**4 - 9*c + 11*c wrt c. -12*c**2 Let n(z) be the second derivative of -5*z**4 - z**3 + 3*z**2/2 - 68*z. Find the second derivative of n(m) wrt m. -120 Let s(k) = -17*k**3 + 7*k**2 + 7*k + 9. Let y(v) = -9*v**3 + 4*v**2 + 4*v + 4. Let x(a) = 4*s(a) - 7*y(a). Differentiate x(z) with respect to z. -15*z**2 Let o(t) = -t**3. Let w(g) = -24*g**3 - 10*g. Let m(y) = -5*o(y) + w(y). What is the second derivative of m(p) wrt p? -114*p Let j(m) be the second derivative of 3*m**5/10 - 23*m**4/12 - 23*m. Find the third derivative of j(g) wrt g. 36 What is the third derivative of 4*p**2 - 6*p**4 - p**4 + 12*p**4 wrt p? 120*p Let c(u) be the second derivative of -13*u**7/42 - u**3/6 + 4*u**2 - 6*u. What is the second derivative of c(k) wrt k? -260*k**3 Suppose -7 = -c + a, 3*c + 0*a - 2*a = 16. Suppose 0 = -c*k + s, -k - 6 = -3*s + 4. Find the second derivative of j**3 - 2*j**3 - 3*j + k*j**3 wrt j. 6*j Suppose 12 = w + 3*w. Let f = 1 + w. Find the second derivative of o**2 + o**2 + f*o - 2*o wrt o. 4 Let u(n) = -n**2 + 5*n - 3. Let h be u(2). Suppose h + 0 = 3*w. Find the first derivative of r**3 + w + r**3 - r**3 wrt r. 3*r**2 Suppose 4*h + j + 2*j = -1, -4*h + 2 = 2*j. What is the third derivative of 3*b**2 + b**2 - 2*b**6 - 6*b**h wrt b? -240*b**3 Let r(q) = -q**3 - q**2 - q. Let i(l) = 7*l**3 - 58*l**2 + 4*l. Let f(g) = -i(g) - 4*r(g). Find the third derivative of f(k) wrt k. -18 Let c(v) be the first derivative of -v**5/20 + v**4/6 - 2*v**3 - 6. Let l(b) be the third derivative of c(b). What is the derivative of l(x) wrt x? -6 Let x(d) = 3*d + 5*d**2 + d - 3*d**2 + 3. Let g be x(-2). Find the third derivative of -y**2 + g*y**5 + 3*y**5 - 9*y**5 wrt y. -180*y**2 Find the second derivative of 10*w - 3*w**5 + 2*w**5 + 0*w**5 - w**5 wrt w. -40*w**3 Let h(i) = -11*i**4 - 2*i**2 + i. Let g(w) = 32*w**4 + 7*w**2 - 3*w. Let s(l) = -2*g(l) - 7*h(l). What is the second derivative of s(m) wrt m? 156*m**2 Let a be (-6*3/12)/(-3). Let m(q) be the second derivative of 2*q + a*q**3 + 0*q**5 + 0 + 0*q**4 + 1/10*q**6 + 0*q**2. Find the second derivative of m(b) wrt b. 36*b**2 Let k(g) be the first derivative of -g**5/5 + g**4/6 + 6*g + 4. Let n(y) be the first derivative of k(y). Find the third derivative of n(c) wrt c. -24 Let o(h) = -9*h**4 - 3*h**2 + h. Let v(s) = -28*s**4 - 10*s**2 + 2*s. Let l(q) = -10*o(q) + 3*v(q). What is the second derivative of l(z) wrt z? 72*z**2 Let w be (-16)/(-6) + (-3)/(-9). Let d = -1 - -4. Differentiate -2*i**4 + 3 - 2*i**w + 2*i**d - 1 wrt i. -8*i**3 Suppose -x + 2*w + 6 = 0, 4*w + 18 = 4*x + 2*w. What is the third derivative of -5*y**2 + 7*y**2 + x*y**2 + 4*y**5 + 0*y**2 wrt y? 240*y**2 Let a(v) = -3*v + 5. Suppose 0 = s + 1 + 5. Let q(c) = -c + 1. Let l(p) = s*q(p) + a(p). What is the derivative of l(g) wrt g? 3 Let o(f) = -f - 3. Let l be o(-5). What is the derivative of -6*j**2 - 4 + 3*j**l + 7 wrt j? -6*j Let p(m) = -22*m**5 - 3*m**4 - 5*m + 3. Let r(x) = 21*x**5 + 2*x**4 + 4*x - 2. Let q(u) = -2*p(u) - 3*r(u). What is the second derivative of q(t) wrt t? -380*t**3 Let p be -1*2 + -2 - -2. Let b = p - -4. Find the third derivative of 3*i - 3*i - i**5 - b*i**2 wrt i. -60*i**2 Let w(u) be the first derivative of -u**6/30 - 3*u**2/2 + 3*u + 1. Let t(y) be the first derivative of w(y). Differentiate t(k) wrt k. -4*k**3 Let v(j) = -63*j**3 - 147*j**2. Let p(d) = -16*d**3 - 37*d**2. Let u(x) = -15*p(x) + 4*v(x). Find the third derivative of u(h) wrt h. -72 Let n(x) = 13*x**3 - 7*x**2. Let k(p) = 26*p**3 - 13*p**2. Let l(d) = 6*k(d) - 11*n(d). Find the third derivative of l(i) wrt i. 78 What is the first derivative of -10 - 10*v**2 + 6*v**2 + 0*v**2 wrt v? -8*v Let p(x) be the first derivative of -25*x**6/6 + 19*x**3/3 - 27. Find the third derivative of p(y) wrt y. -1500*y**2 Let x(k) be the first derivative of 0*k**5 + 2/3*k**3 + 0*k**4 + 0*k + 0*k**2 - 1/3*k**6 + 1. Find the third derivative of x(v) wrt v. -120*v**2 Let h(q) be the third derivative of -q**7/70 + q**6/40 + 13*q**4/12 - 3*q**2 + 9. What is the second derivative of h(y) wrt y? -36*y**2 + 18*y Let d(n) be the first derivative of 3*n - 1 + 3/2*n**2. Differentiate d(t) wrt t. 3 Let h(k) = k**2 + 6*k - 3. Let b be h(-7). Find the second derivative of 5*g**b - 2*g + 0*g**4 - g**4 wrt g. 48*g**2 Let i(y) = y**3 + y**2 - 1. Let p(k) = 7*k**4 + k**3 + k**2 + 4*k - 1. Let n(v) = i(v) - p(v). What is the second derivative of n(z) wrt z? -84*z**2 Find the first derivative of 3*y**2 + 49*y**2 - 40 - 37 + 22 wrt y. 104*y Let r be ((-1 - -1)*-1)/1. Let l = r - -2. What is the third derivative of -2*u**l + 2*u**2 - 2*u**6 + 2*u**2 wrt u? -240*u**3 Let j(u) be the second derivative of 3*u + 0*u**3 + 0 - 1/6*u**4 + 0*u**6 + 0*u**5 + 0*u**7 + 1/28*u**8 + 0*u**2. What is the third derivative of j(x) w
{ "pile_set_name": "DM Mathematics" }
(-98 - -24) + 63 + -24. -35 Evaluate -6 + -3 + 14 + -7 + 1 - 14. -15 What is the value of -13 + (-26 - -6) - -27? -6 What is (3 - 0) + -1 + 8 + -7 + -21? -18 28 - (-5 + -8 + 62) -21 Evaluate 4 + (-5 - (6 + -13 + 3 + -7)). 10 What is (2 - 5 - -8) + -13? -8 What is the value of 7 - (1 - 2) - (-5 - (-19 - 0))? -6 21 + (-23 + -21 - -17) -6 What is -15 + -9 + 39 + 3? 18 10 + (-6 - 0) - (2 - 12) 14 What is (-32 - (-66 + 15)) + -34? -15 What is 7 + 10 + (-3 - (-5 - -1)) + -2? 16 (6 - (17 - 9)) + 3 1 (-1 + (-9 - -14) - 7) + -1 + 1 -3 Calculate -13 + 2 + -1 + 3 - (-10 - -16). -15 Calculate -8 + (-7 + 0 - (222 + -215)). -22 What is 23 + (56 - 53 - (2 + -1 - -7))? 18 What is -12 + (46 - 1) + -14 + -2? 17 What is the value of -18 + 8 + 1 + 2? -7 What is 17 + -33 + -5 + 15? -6 Calculate (1 - 3) + 3 - (26 + -1 - 19). -5 (-2 - (-10 + (15 - -6))) + 5 - 11 -19 What is the value of 21 + (-34 - 8) + 2? -19 Evaluate 0 + -17 + (-22 - -20 - 10). -29 What is 241 - 239 - (0 - -21)? -19 -23 + (49 - 21) - 7 -2 What is -1 + -1 - (-17 - (4 + -17 - 3))? -1 Calculate -7 + (26 - 26 - (-2 + 0)) + -9. -14 What is 5 + -14 + (3 - -13) + -11? -4 1 + 4 + (13 + -5 + 8 - 5) 16 -2 - 0 - (8 + (9 - 9) + -13) 3 What is -18 + 15 + -16 + 14? -5 -7 + (14 - -1 - 0) 8 What is the value of (29 - 0) + 0 + -1 + -23 + 15? 20 Evaluate 13 + 3 + -3 - 19. -6 Evaluate (-1 - (2 + -10)) + -17. -10 What is -10 - ((0 - 6) + (29 + -22 - -5))? -16 What is the value of 4 - (-7 - (-8 - 4) - -9)? -10 -83 + 62 + -2 + 4 + 7 -12 Calculate (4 - 0) + -61 + 58 + (2 - -2). 5 What is the value of 2 + (-23 - -68) + -16? 31 What is the value of -21 + 24 + (-4 - 4)? -5 Calculate ((-3 - -6) + 6 - 2) + -15 + 5. -3 What is 9 - (1 - (14 - 18))? 4 What is the value of 15 + ((7 - 0) + -8 - 0)? 14 What is the value of 4 + -1 - (-6 + -1 + 3)? 7 Calculate -13 + (26 - 31 - -33). 15 -14 - ((-28 - -21) + -1) -6 What is the value of 5 - (17 - 5) - 4? -11 Evaluate (5 - 12 - (-8 - 3)) + -20 + 2. -14 What is the value of 4 + (13 - 0) + 1 - -12? 30 Evaluate 9 + (0 - (10 + 0 + -4)). 3 Evaluate -19 + 14 + 12 - (0 + -2 + 6). 3 What is the value of -7 - 0 - (-95 - -99) - (-6 + 4)? -9 Evaluate 10 - 19 - (-12 - -17). -14 Evaluate 2 + 1 - (4 - 8) - 4 - -6. 9 (-7 - (-10 - 2)) + (0 - 1) - 10 -6 -57 - -23 - (10 - 17) -27 Calculate -24 + -2 - (5 - 11). -20 Calculate 6 + -2 + -34 - -28. -2 Calculate 4 - (-18 + (-33 - -38)). 17 What is 16 + (4 - (38 + -16))? -2 Evaluate 14 + 6 + 96 + -86. 30 Calculate -4 - (-16 - -2) - (-110 + 109). 11 Calculate -2 - -20 - (6 - 14 - (18 - 25)). 19 (2 + 23 - (-24 + 22)) + -8 19 What is the value of 0 + 2 + 50 + -25 - 1? 26 -2 - (-19 + 3) - (377 + -347) -16 Calculate 1 - -1 - (-9 - -2 - (22 - 24)). 7 What is the value of -20 + 21 - -1 - -14? 16 Evaluate -3 - (14 + (4 - 3) + -6 + -1). -11 156 - 205 - (1 - 30) -20 89 - 62 - (4 + 15) 8 What is the value of -9 + -19 - -12 - 8 - (0 - 7)? -17 Calculate (42 - 28 - 13) + -26. -25 (47 - 8 - 21) + -18 - (14 + 1) -15 What is the value of 4 + 0 - 3 - (1 + 5)? -5 (6 - (1 - -1 - 7) - 25) + -9 -23 What is ((9 - 3) + 3 - (3 + 0)) + -8? -2 -23 - 6 - (3 + -19) - (-1 + -1) -11 What is 4 + 8 + (-14 - (6 + -16))? 8 What is the value of 18 + (-28 - (16 - 33)) - (-18 + 1)? 24 Calculate -4 + 23 + -11 + -31 - 3. -26 -8 + -5 + 53 + -30 10 659 + -658 - (26 + (-1 - 1)) -23 (25 - (1 + -1)) + (240 - 248) 17 What is the value of -20 + (-16 + 16 - -9)? -11 What is the value of -8 + 6 + (1 - 3) - 9? -13 10 + -2 + -23 + 14 + 5 4 Evaluate -9 + (8 + -7 - -10). 2 Evaluate -14 + (-19 + 28 - -16). 11 Evaluate -11 + (-4 - -8) + -3 + -7 + -20. -37 (7 + -23 - -2) + -22 + 1 + 2 -33 Calculate (-15 - (-2 + -5)) + 14. 6 -5 + (4 - 4) + -3 + -1 + 0 -9 -14 + 12 - 2 - 0 -4 What is -5 + 18 + -35 - -20? -2 Calculate -68 + 93 + (3 - 8). 20 (-3 + (5 - -12 - -6) - 10) + -4 6 What is -6 - (-13 + 14 + 10 - 15)? -2 Calculate 1 + 3 + -2 + 1 - 1 - 12. -10 What is the value of (-2 + 1 - (-9 - (-11 + 3))) + -10? -10 -8 - (7 + (1 - 7) + -7) -2 Calculate (-7 - -16 - (8 - (2 + 6))) + -27. -18 Calculate (9 - 3 - 20) + -5. -19 11 + -8 + 1 + (-4 - -4) 4 Evaluate (-31 - -10) + 7 + -7. -21 -207 + 216 + 0 + (2 - 12) -1 Calculate (-12 - (3 + -7) - -19) + -4 + 0. 7 What is -34 + (-7 - (-13 - 20))? -8 What is 0 + -8 + (37 - 31) + 13? 11 Calculate (6 - (25 + -8 - 5)) + 21. 15 What is the value of -2 - ((19 - 34) + (-18 - 1))? 32 Evaluate 8 + 2 + -1 + 3 + -7 - -5. 10 Calculate 30 + -7 + -38 + (-13 - 0). -28 Evaluate 5 + (-12 - -7 - -11) + -2 + -1. 8 -196 + 232 + -3 + -20 13 What is 8 - 1 - (-43 - (-85 + 72))? 37 -14 + (-1 - 7 - (-30 - -24)) -16 What is the value of 16 + -9 + 4 - 17 - -3? -3 What is 7 + (5 + -12 - (-1 - 2) - 22)? -19 What is -2 - (0 + 7 - 7) - (2 - -2)? -6 Calculate 3 + -50 + 57 + -7 + 0 + 21. 24 What is -15 + 11 + -4 - (-4 - 1)? -3 Evaluate (1 - (-1 + 11) - (-9 + 2)) + -2. -4 -11 + -1 + (-22 + 10 - -2) -22 What is (0 + 7 + -17 - 5) + (3 - 1)? -13 Evaluate ((-1 - -2) + 0 - (-23 - -27)) + 4. 1 Calculate 57 + -46 - (0 - (2 + 2)). 15 Calculate 5 + -4 - (-28 + 22) - -8 - -9. 24 What is 6 - (2 - 6 - -7) - (6 + 0)? -3 What is the value of 28 - (1 + 3 + (17 - (-2 + 23)))? 28 Evaluate -5 + (-96 + 112 - (0 - 2 - -1)). 12 Calculate (69 + -66 - (1 - (0 - 1))) + 14. 15 0 - 1 - 11 - (2 + (-19 - -14)) -9 What is 27 + -14 + -14 + -14 - (5 + 2)? -22 What is 4 + -11 - (-24 - -14)? 3 What is the value of 16 + 3 + (-16 - 2) + 14? 15 What is the value of (2 - (0 + 4)) + (-10 + -1 - -9)? -4 What is the value of -29 + (-9 - -3) + (-1 - -12)? -24 What is -18 - -15 - (4 + -1 + 2) - 5? -13 What is the value of (1 - (-13 + 19)) + -3 + 3? -5 -3 - ((4 - (5 - 6)) + 3) -11 1 - (-1 + -12 + 15) -1 What is -4 + (0 - 4) + (-36 - -33)? -11 Calculate -43 - -65 - (25 + 0). -3 What is the value of 9 - (8 - (1 - -4)) - 1 - -5? 10 What is the value of -8 - (2 - (-4 + 5 - (17 + -7)))? -19 -10 + (5 - (14 + -7)) + 1 -11 What is -2 + -10 + (21 - -8) + -4? 13 Calculate -20 + (38 - 33) + (4 - 2). -13 Evaluate (14 - 1) + (9 - 16) - -5. 11 What is the value of (-3 - (14 - -2)) + (4 - -7)? -8 What is 13 + (4 - 9 - 19)? -11 What is the value of -8 + 1 + (2 - 22) + (4 - -7)? -16 Evaluate (5 - -3) + (14 - 10) - 2. 10 9 + (5 - (2 - (0 + -5))) 7 12 - (28 + 10) - -3 -23 What is the value of -61 - (26 + -50) - -53? 16 Calculate 13 - (-13 - -13 - -14). -1 What is -2 + 0 - (437 - 451)? 12 What is -4 + (8 - 3) + -4 + 3 + -11? -11 What is (0 - (60 - 36)) + 4? -20 -4 + (-3 - (18 + 0)) -25 What is -4 + (10 - 8) + -5 + 12 + -1? 4 What is the value of -115 - -105 - ((-21 - -3) + -5)? 13 (10 - -2) + 3 - 27 -12 4 + (8 + -6 + 1 - 7) + 8 8 Evaluate (1 - -2) + (-20 + -12 + 20 - 6). -15 Evaluate -115 - -91 - (0 - 39). 15 Calculate 9 - (-3 + 0 + 1 + -4 - -2). 13 What is 59 + -41 + 0 + -2 + -3 + -6? 7 Calculate 3 - (14 + -8 + -8 - -1). 4 What is -7 - (-52 - -24) - (0 + -1 + -2)? 24 What is 9 + -18 - (10 + (-9 - 15))? 5 7 - ((-10 - -6) + 2 + -3 + 12) 0 Evaluate (15 + -2 - 3) + 14 + -16 - -5. 13 (-10 - -5) + (-22 - -13) -14 Evaluate 0 + 10 + 0 + 39 + (5 - 46). 8 What is (-2 - (-1 + -7)) + (-10 - -5) + -4? -3 What is the value of 0 - (4 + -13) - (64 - 41)? -14 37 - ((5 - 5) + (-12 - -5 - -12)) 32 -1 + (-6 - (-2 - 9)) + 22 + -1 25 (35 - 8) + -5 + -12 10 What is the value of -36 + 18 - -2 - (0 + -33)? 17 What is 19 - (-18 - -69 - 18)? -14 Calculate -12 - 1 - ((-31 - 39) + 83). -26 Calculate 2 + 4 + 36 + -44. -2 What is the value of -30 + (-27 + 9 - -77)? 29 186 - 161 - (10 + -2) 17 What is the value of -556 + 570 + 2 + -1? 15 (12 - 14 - 13) + -5 - -8 -12 (16 + -8 - ((23 - 2) + -3)) + -3 -13 What is -2 - (19 - 13 - (2 - 1)) - -3? -4 What is -9 + -1 - (-115 - -116)? -11 Calculate -8 + (-9 - -3 - 7) - -2. -19 What is 12 + 21 + 1 + -42? -8 What is the value of 44 + (17 - 22 - 25)? 14 Evaluate 3 - -2 - (11 + (11 + -10 - 13)). 6 Evaluate -17 + 16 + (-16 - -18) + 6. 7 Calculate -13 + (-3 - ((-1 - 5) + 8)). -18 -8 + 19 + (-1 - 4) + 13 19 Calculate 27 + (6 - 50) + 15. -2 -32 + 13 + (-9 + 2 - -16) + -15 -25 Evaluate 0 + -7 + (18 - -15) + -20. 6 Evaluate 4 + 19 + (11 - 20). 14 What is -2 - (-42 + 22) - 36? -18 Evaluate 28 + 8 + -16 + -29. -9 -13 - (3 - (48 + 12 + -24)) 20 Evaluate -8 + -2 - (-4 + -9). 3 -4 - (2 + 9 + -2 + -13 - -20) -20 Evaluate -31 - (-17 + 16 - 54). 24 -14 - -6 - -18 - 2 8 What is the val
{ "pile_set_name": "DM Mathematics" }
Is 0.5 != 20616? True Is 93161/74 bigger than 1260? False Which is smaller: 1058/251 or 4? 4 Is 14652 > 6? True Is 1 > -6/211759? True Which is bigger: -972 or -1/6? -1/6 Is 2262 greater than or equal to 0.157? True Is -452019 less than -452016? True Which is smaller: -19/73 or -1? -1 Is -20294 at most as big as -20296? False Is 2358629 > 2358630? False Are 1153/74 and -17 equal? False Which is greater: 1160556 or 1160558? 1160558 Which is greater: -246472 or -1/5? -1/5 Which is greater: -3/2644661 or 1? 1 Is 177 >= -6703? True Which is smaller: 434/4861 or -1? -1 Which is bigger: -16855 or -219099/13? -219099/13 Does 29223/11 = 2658? False Is -2386 > -2469? True Are -1/631 and -0.4 equal? False Is -1 smaller than -145/31348? True Is -1 <= -1/311? True Which is bigger: 22229/13 or 1711? 1711 Which is smaller: -1 or 1/8638179? -1 Which is smaller: -45/1957 or -1? -1 Which is greater: 1999 or 1985? 1999 Which is bigger: 42 or 2749? 2749 Is -1 bigger than -3/167086? False Which is smaller: 1105078 or 1105077? 1105077 Is 0 <= 8/16249? True Is 1468/35 at most -0.8? False Is 39/6634 > -1? True Which is bigger: 2/3 or 52234? 52234 Which is greater: 1600 or -59? 1600 Which is bigger: 6/13 or 127.9? 127.9 Which is smaller: 3408.9 or -0.13? -0.13 Is 0 < 2/402423? True Which is bigger: 7.199 or 4.6? 7.199 Which is smaller: 124/4401 or -1? -1 Is -0.1 at least as big as -127837? True Is 303219/4 less than or equal to -6? False Are -278/5 and -0.35 equal? False Is 3 smaller than -6.885? False Is -1 greater than or equal to -25/16556? False Is 453828 bigger than 453827? True Is 3589/1108 not equal to 3? True Are 1430035 and 1430035 non-equal? False Is -0.723 smaller than -602? False Which is smaller: 3 or -125113/6? -125113/6 Which is greater: 1 or -5/69322? 1 Is -170 >= -4610/27? True Which is smaller: -1 or 2/617? -1 Which is smaller: -4 or -0.06078? -4 Is -234 equal to -1313? False Is -158/2811 equal to 0? False Is 25217 bigger than 25213? True Do 424678 and 424675 have different values? True Which is bigger: 353.352 or 3? 353.352 Which is smaller: -117 or 148/7? -117 Are 1/1560348 and 0 nonequal? True Is 146634 bigger than 146633? True Which is smaller: 66278 or 66277? 66277 Are -27628 and -27627 equal? False Which is smaller: -6 or -1470? -1470 Which is greater: 19.29 or -1/6? 19.29 Which is greater: -4.809 or -364? -4.809 Are 979/5376 and 0 equal? False Which is bigger: -13222 or -13242? -13222 Which is smaller: 5785 or -1.2? -1.2 Is 3 greater than or equal to 0.08433? True Is 93/530 greater than or equal to -1? True Is -3 <= 351? True Which is smaller: 17/101614 or 1? 17/101614 Which is smaller: -0.03 or 97064? -0.03 Are -119013 and -119016 unequal? True Which is smaller: 6652 or 6713? 6652 Which is smaller: -3.1 or 159.08? -3.1 Which is bigger: -20286/1213 or -17? -20286/1213 Is 209455 greater than 209453? True Is -571 at most -318? True Which is bigger: 1/157717 or 1? 1 Which is bigger: 59 or 3371/57? 3371/57 Do -82010 and -82008 have the same value? False Which is smaller: -1486 or -1.16? -1486 Which is smaller: 369 or 266? 266 Which is smaller: -10189 or -10191? -10191 Are 27 and -18290 nonequal? True Which is bigger: 47061 or 141? 47061 Which is greater: 3 or 20870? 20870 Is 1662 smaller than 54893/33? True Which is smaller: 47 or 4323/92? 4323/92 Which is smaller: 26089 or 26086? 26086 Which is greater: -465 or -470? -465 Which is greater: 2019597 or 2019599? 2019599 Which is greater: -16190/11 or -1471? -1471 Is 1 >= 2/7469687? True Which is greater: 678854/3 or 226284? 678854/3 Is 0 equal to -7216328? False Which is bigger: -1567 or -6267/4? -6267/4 Is 109762 bigger than -0.34? True Is -937937 > -937937? False Do 1 and 52/44905 have different values? True Which is bigger: -980 or -51999/53? -980 Is -7640 at most as big as -7627? True Is -284333/25 at least as big as -11374? True Is 2/5 bigger than -133? True Which is smaller: 2/5 or 15730? 2/5 Which is smaller: 40472 or 40498? 40472 Are 248 and -329 equal? False Is -1 > -1415/577? True Is 1/119709 < 0? False Which is smaller: 1494 or 19416/13? 19416/13 Which is smaller: -21340/423 or -50? -21340/423 Which is smaller: 51300 or 51299? 51299 Which is smaller: 157 or 3439/22? 3439/22 Is -3.309 greater than 1.6? False Is -1/169938 >= 0? False Which is greater: 181 or -0.021? 181 Which is smaller: -1014 or -11146/11? -1014 Is 261247 > 261245? True Which is greater: -1003782 or -1003783? -1003782 Is 7657 at least 166? True Is 777 greater than 29485/38? True Which is greater: 563 or -0.2912? 563 Which is greater: -59029 or -59023? -59023 Which is bigger: 0.0607 or -266? 0.0607 Is 64 <= 294? True Is 1076463 > -1? True Are -3588 and -3587 equal? False Which is smaller: -1/5 or 3361/3? -1/5 Is 1 less than 50/45797? False Is 0 not equal to 1702031? True Which is smaller: 15509/67 or 231? 231 Which is bigger: -1792 or 135? 135 Which is bigger: 199180 or 995904/5? 995904/5 Is 1 at least as big as 26/10483? True Which is smaller: 38647 or 38650? 38647 Is -271469 smaller than -0.6? True Which is smaller: 17 or 430875? 17 Is 0.278 bigger than -2.9? True Are 38377 and 38410 equal? False Is 90300/29 != 3115? True Which is smaller: 5.482621 or -1/3? -1/3 Which is smaller: -13/10 or -3418? -3418 Which is bigger: -281854 or -281851? -281851 Which is smaller: -1 or -11/11433? -1 Which is smaller: -170036/69 or -2463? -170036/69 Which is smaller: -35836 or -179186/5? -179186/5 Is 1067450 greater than or equal to 1067450? True Which is greater: -780 or 2/25? 2/25 Is 1/183636 at least as big as 1? False Which is bigger: 7/9832 or 0? 7/9832 Which is bigger: -2371/91 or -25? -25 Is -1 at least as big as -294/4679? False Which is smaller: 25529 or 25504? 25504 Which is greater: 12207 or 134268/11? 12207 Are 10760 and 10805 equal? False Which is smaller: 0 or 1/30306? 0 Is 43364 not equal to 5? True Is 9/1418 equal to 1? False Is -1827/214 at most as big as -10? False Is 1603825 not equal to 1603825? False Which is greater: -734843 or -734844? -734843 Which is smaller: -2713 or -51570/19? -51570/19 Is -49068 less than or equal to -49070? False Which is bigger: 329169 or 329168? 329169 Is -20635 > -20650? True Which is greater: -33219 or -33224? -33219 Are 86 and 333 non-equal? True Is 1/53 at most as big as 13106? True Which is greater: -9817 or -49078/5? -49078/5 Is -1497840 at most as big as -1497840? True Is -1 at least 180/2261? False Which is smaller: -1432/213 or -6? -1432/213 Is -1/5643 less than 1? True Which is smaller: -2227 or -1532? -2227 Is -0.7 less than or equal to -12.04? False Is 65383 greater than or equal to 65383? True Which is smaller: 447471/13 or 34422? 447471/13 Is 1 at least as big as 304/1689? True Is -388 at least -568? True Is -1 not equal to -2/975463? True Is 50840 at least as big as 50830? True Which is smaller: -156/14387 or 0? -156/14387 Is -28369 less than -28369? False Is -31/3 >= -0.11896? False Is -77 > -0.1? False Is 22/5 less than or equal to -1007? False Is -2 less than 58002? True Is 1 less than or equal to 6/118321? False Which is bigger: -520200 or -520197? -520197 Which is bigger: 1 or -61/3631? 1 Is -684960 >= -684961? True Is 324292/9 at least 36031? True Do -6455 and -6457 have different values? True Does 198656 = 198653? False Which is bigger: -1 or -16032.8? -1 Is 10953 equal to 11006? False Which is smaller: -697125/31 or -22487? -697125/31 Is -73829/79 smaller than -935? False Which is bigger: -17 or 54859? 54859 Which is bigger: 474832/11 or 43167? 43167 Which is greater: -11 or 221666? 221666 Is 5633 smaller than 2? False Which is smaller: 205/3 or -66? -66 Which is greater: 166732 or 166731? 166732 Which is greater: 5673/5 or 1136? 1136 Is -1753 < -177100/101? False Is -9030 at least -9018? False Which is smaller: 47 or 707? 47 Is -228938 equal to -6? False Which is bigger: 3234457 or 3234458? 3234458 Is -5/1058 bigger than 10? False Is 1.3887 smaller than 22? True Which is smaller: -29 or 2891? -29 Is -13097 less than -13300? False Which is smaller: 0 or -384.1? -384.1 Which is smaller: -27 or -8.8731? -27 Which is greater: -43090 or -2? -2 Which is smaller: -147115 or -0.2? -147115 Which is smaller: 0 or -0.2738? -0.2738 Is -1956 != -1880? True Which is smaller:
{ "pile_set_name": "DM Mathematics" }
5*s = -4*k - r. What are the prime factors of k? 3 Let u(n) = 19*n - 4. List the prime factors of u(1). 3, 5 Let b(a) = -a**2 - 12*a - 8. Let p be b(-11). Suppose -j + p*j - 78 = 0. What are the prime factors of j? 3, 13 Let j be (3/(-2))/((-9)/210). Let q = -20 + j. What are the prime factors of q? 3, 5 Suppose -4*f + 2*f + 6 = n, -2*f = -3*n + 42. Suppose 0*d = d - n. What are the prime factors of d? 2, 3 Let s(d) = d**3 - 6*d**2 - d + 7. Let m be s(5). Let g = -12 - m. What are the prime factors of g? 11 Suppose 2*h - 5 = -3*g, 2*h + 2*g + 2*g = 8. Let a = h + 6. List the prime factors of a. 2 Let j(w) = 7*w + 1. Let d be j(1). Let o(i) = i**2 - 8*i + 3. What are the prime factors of o(d)? 3 Suppose 12 = -t - t - 3*x, t = x + 4. Let o = 6 + -2. Suppose o*s = -t*s + 40. List the prime factors of s. 2, 5 Suppose 5*g - 4 + 29 = 0, 3*i + 2*g = 2. Suppose i = 4*l + 3*c - 15, 0 = l + 2*c - 1. What are the prime factors of l? 7 Let i = -290 + 474. What are the prime factors of i? 2, 23 Suppose g - 2 = 2*g. Let t be (0 - 0)/(1 - 2). What are the prime factors of g/(-1) - (-2 - t)? 2 Let a = -220 + 379. List the prime factors of a. 3, 53 Suppose 27*s + 140 = 32*s. What are the prime factors of s? 2, 7 Suppose 6*k - 3*k - 6 = 0. What are the prime factors of k? 2 Let b be 3/(3 + 3)*0. Let h = -2 - -12. List the prime factors of h + b - 0/(-1). 2, 5 Suppose g - 55 = b, 0 = -g - b + 16 + 29. Let f = 30 - g. What are the prime factors of (-1)/(-5) + (-76)/f? 2 Let v(g) = g**2 + 3*g + 2. Let y be v(-2). Suppose 7*p - 5*p - 48 = y. What are the prime factors of p? 2, 3 What are the prime factors of 1 - (-4 - (-5 - -11))? 11 Let m be (-2)/7 + (-6)/(-21). Suppose m = -6*i + 3*i. Suppose 0 = 5*t - 10 - i. What are the prime factors of t? 2 Let z be 2/7 - (-18)/(-14). Let r = 3 - z. What are the prime factors of r? 2 Suppose -g - 15 = -42. Let z = g + 3. List the prime factors of z. 2, 3, 5 Let q(m) = 7*m**2 - 2*m + 2. What are the prime factors of q(-3)? 71 Suppose 0*s - 93 = -3*s. Suppose 0 = 2*g - 5 - s. Suppose 2*c - g = -0*c. List the prime factors of c. 3 Suppose -m - 3 - 4 = 0. What are the prime factors of -2*(m - (1 + -3))? 2, 5 Let l be (-1 - 0) + (-7 - -3). Let j = 8 + l. Suppose j*z - 24 - 9 = 0. What are the prime factors of z? 11 Suppose 30 = -3*a + 90. List the prime factors of a. 2, 5 Let x(d) = -d**2 - d + 3. Let r be x(4). Let y = r + 31. List the prime factors of y. 2, 7 Let p be 1*(-10)/(-2) + -1. Suppose -4 = -4*g + p. What are the prime factors of g? 2 Let a(x) = 6*x**2 + 4*x + 3. Let l(y) = y**3 + 5*y**2 - 3*y + 8. Let m be l(-6). Let o be (8/(-6))/(m/(-15)). List the prime factors of a(o). 19 Let j(d) = 3*d - 1. Let x be j(2). Let c = x - -6. List the prime factors of c. 11 Let v(t) = 5*t**2 + 17*t + 51. List the prime factors of v(-7). 3, 59 Let q be 28/12 + (-4)/(-6). Let b(t) = t**2 - 4*t + 1. Let o be b(q). What are the prime factors of 2 - (0/(-3) + o)? 2 Let x(o) = -o + 4. Let n = 21 + -13. Let w be x(n). List the prime factors of (34/w)/((-1)/2). 17 Let a(p) = -4*p**3 + 3*p**2 - 2*p + 5. Let b(x) = -3*x**3 + 2*x**2 - 2*x + 4. Let q(c) = 2*a(c) - 3*b(c). List the prime factors of q(2). 2, 5 Let l be ((-6)/3)/(4/38). Let n(d) = d**3 - 4*d**2 - 1. Let q be n(3). Let s = q - l. What are the prime factors of s? 3 Let x(y) = y**3 - 4*y**2 + 2*y - 5. Let b be x(4). Suppose 0 = -3*o + 4*o + 4*s - 33, -s = -b*o + 34. List the prime factors of o. 13 What are the prime factors of 6540/24 + 1/(-2)? 2, 17 Suppose -5*y - 100 = -4*u, -3*y - 3*u + 0 = 60. Let p = -4 - y. List the prime factors of 2*p*1/2. 2 Suppose -4*t = -31 - 29. Let s(p) = -p - 11. Let x be s(0). Let b = t + x. What are the prime factors of b? 2 Suppose k = 5*k - 204. What are the prime factors of k? 3, 17 Suppose 0 = -5*n + 37 - 7. List the prime factors of n. 2, 3 Suppose -2*h - 44 = 2*h. Let u = h - -19. What are the prime factors of u? 2 Suppose 2*h - 4*h = -4. What are the prime factors of h? 2 Let j(l) = -6*l - 1. Let v be j(-3). Let t = v + -12. Suppose -t*c + 0*a = -a - 67, 0 = a + 2. List the prime factors of c. 13 Let s(t) = 8*t - 1. Let b be s(-2). Let y = -10 - b. List the prime factors of y. 7 List the prime factors of -5*(-2 + -1)/3. 5 Let n(c) = -5*c - 2. List the prime factors of n(-6). 2, 7 Let b(w) = w**2 - 14*w + 40. Let g be b(13). Suppose -45 = -l - 4*l. Let t = g - l. List the prime factors of t. 2, 3 Suppose 0 = -b + 22 + 23. Suppose 2*w - b = -5*y, 0*y = 3*w - 4*y - 56. What are the prime factors of w? 2, 5 Let i be (16/6)/(10/15). Suppose -i*r = -6*a + a - 56, 3*a = 3*r - 42. What are the prime factors of r? 2, 7 Suppose -3*g = 5*n - 33, -4*n + 1 - 29 = -g. Suppose -2 - g = -2*r. What are the prime factors of r? 3 Let p(h) = -h + 13. List the prime factors of p(-10). 23 Let u(l) = l**3 - 18*l**2 + 29*l + 30. What are the prime factors of u(17)? 2, 3, 13 Let u = 12 + -23. Let v(b) = -b**3 - 10*b**2 + 12*b + 14. What are the prime factors of v(u)? 3 Let z(n) be the first derivative of -n**4/4 + 2*n**3 + 7*n**2/2 + 6*n - 1. Suppose 12*p = 8*p + 28. What are the prime factors of z(p)? 2, 3 Let q = 69 + -39. Let n = -19 + q. What are the prime factors of n? 11 Let k(n) = 6*n**2 + 15*n - 7. List the prime factors of k(-5). 2, 17 Let a(s) = 2*s**2 + 6*s + 1. List the prime factors of a(-5). 3, 7 Let k(r) be the first derivative of r**2/2 - r + 3. List the prime factors of k(7). 2, 3 Let q be (-6)/15 - (-134)/10. Suppose 0 = r + 2*u + 18, r + 33 = -u - 4*u. Let k = r + q. What are the prime factors of k? 5 Suppose -28 - 16 = -2*f. What are the prime factors of f? 2, 11 Let h(i) = -i + 2. Let f be h(-5). Suppose 2*n + f = -3. What are the prime factors of n/((-45)/(-6))*-3? 2 Suppose -l + 0 = 7. Let t = l - -11. Suppose 0 = -t*u + 5*y + 38, -36 = -2*u - 2*u + 4*y. What are the prime factors of u? 7 Let p = 3 - 1. Suppose p*r - 2*a - 28 = 0, 3*r - 24 = 4*a - 7*a. Suppose -r = 5*v - 81. What are the prime factors of v? 2, 7 Suppose 0*p + 3*p = -5*y - 3, 6 = 3*p + 2*y. Suppose -p = 5*c + 11, 5*c - 8 = -n. What are the prime factors of n? 23 Let u be (7/14)/((-1)/(-6)). Suppose 2*g - u*g + 4 = 0. List the prime factors of g. 2 Let u be ((-4)/2)/((-5)/10). Suppose -4*i + 64 = u*a, -3*i - a - 22 = -64. What are the prime factors of i? 13 List the prime factors of (13/(-3) + 3)*-12. 2 Let r = 9 - 6. Let v be 26*(-1)/3*r. What are the prime factors of (-152)/v - (-4)/26? 2, 3 Suppose 0 = -z - 7 + 6, 2*z = -4*s + 802. List the prime factors of s. 3, 67 Suppose 0 = -2*o + 6, 3*o = -3*u + 77 + 28. Suppose -4*g + 0*g = -u. What are the prime factors of g? 2 Let y = 209 - 111. What are the prime factors of y? 2, 7 Let o = -395 + 616. What are the prime factors of o? 13, 17 What are the prime factors of (4/(-6))/(1 + 514/(-510))? 5, 17 Let y = 4 - -1. Let r(x) = -3*x**3 - 27*x**2 - 10*x + 23. Let j(k) = -2*k**3 - 18*k**2 - 7*k + 15. Let w(a) = y*r(a) - 8*j(a). List the prime factors of w(-8). 11 Let h(b) = -b**2 - 9*b + 3. Let u be h(-10). Let t = 5 - u. List the prime factors of 4/t*1*12. 2 Suppose -2 = 3*a - 17, 4*a = 2*c - 274. What are the prime factors of c? 3, 7 Let n(g) = g**2 + 2*g - 4. Let v(j) = 2*j**3 + 2*j**2 - j. Let r be v(1). List the prime factors of n(r). 11 Let h(g) = g**3 + 3*g - 1. Let p(u) = -5*u**3 - u**2 - u - 1. Let q be p(-1). Suppose -4*j - 2 = q*i - 6, 3*i - 2*j = 8. List the prime factors of h(i). 13 Let v = 92 + -51. What are the prime factors of v? 41 Let z(l) = 3*l**2 + 3*l - 5*l + 0*l**3 - l**3 + 2. Let o be z(2). Suppose -4*n + o*n = 0, -4*x + 2*n + 8 = 0. List the prime factors of x. 2 Let i = 3 + -3. Let w(c) = 0*c + 4 - 2*c + c**2 + i*c**2 + 0*c. List the prime factors of w(4). 2, 3 Let o = -6 - -3. Let m be o*(24/(-9))/(-1). List the prime factors of 12/m*(-4)/3. 2 Suppose -115 = -3*p + h, 0*h - 8 = -4*h. List the prime factors of p. 3, 13 Let j(d) = -12*d - 1. Suppose 0 = 2*h + 2*s + 18, -s - s = -2*h - 6. Let a be (2/(-6))/((-2)/h). List the prime factors of j(a). 11 Let q = -29 - -47. List the prime factors of q. 2, 3 Let y(a) = 286*a**3 - a**2 - 3*a + 4. What are the prime factors of y(1)? 2, 11, 13 What are the prime factors of (-43*2)/(28/(-98))? 7, 43 Suppose 6 = 2*s, -4*h - 3*s - 6 = -9*h. Suppose 5*n - 4*n = -h*u, -5*u -
{ "pile_set_name": "DM Mathematics" }
Calculate -33 divided by -1214. 33/1214 What is 93688 divided by -3? -93688/3 What is -464 divided by 275? -464/275 Divide 5 by 97962. 5/97962 What is 1 divided by -123349? -1/123349 -497 divided by 5375 -497/5375 Divide 2 by 45055. 2/45055 What is 77628 divided by 3? 25876 Calculate -29070 divided by 323. -90 What is 5526 divided by 287? 5526/287 Calculate -31410 divided by -45. 698 Calculate -6709658 divided by -6. 3354829/3 What is -1488 divided by -384? 31/8 Calculate -12810648 divided by -4. 3202662 What is -138 divided by 1477? -138/1477 -1662 divided by 974 -831/487 92988 divided by -1722 -54 60672 divided by 4 15168 What is -406 divided by -29? 14 What is -1 divided by -16645? 1/16645 Divide 1096935 by 5. 219387 What is 30821 divided by -1? -30821 Divide 16 by -400. -1/25 Divide -2 by 15962. -1/7981 Calculate 18033 divided by 96. 6011/32 Divide 7563 by -2. -7563/2 1422 divided by 23 1422/23 149940 divided by -204 -735 -3169 divided by -62 3169/62 Divide 38 by -6588. -19/3294 What is 388364 divided by -79? -4916 Divide -4 by -11030. 2/5515 29863 divided by -29863 -1 -192 divided by -249 64/83 15015 divided by 29 15015/29 What is 13049 divided by 5? 13049/5 What is -4080280 divided by 3320? -1229 Calculate 3113057 divided by -3. -3113057/3 -18 divided by -181581 6/60527 -14170 divided by 2834 -5 Calculate 891 divided by 99. 9 Calculate 7 divided by 8829. 7/8829 Divide -5 by -6637. 5/6637 47421 divided by -33 -1437 2154 divided by 21 718/7 Divide 212 by -35. -212/35 Divide -431291 by 7. -61613 43209 divided by 1 43209 What is -1305480 divided by -23736? 55 Divide -148410 by 85. -1746 What is -2 divided by 9861? -2/9861 -103615 divided by -23 4505 Calculate 187674 divided by -31. -6054 What is 118084 divided by -3? -118084/3 What is -363625 divided by -2? 363625/2 Calculate 12457 divided by 25. 12457/25 567385 divided by 113477 5 Calculate -389292 divided by -32441. 12 Divide 2886048 by 72. 40084 Divide 18 by -11376. -1/632 Calculate -21201 divided by -191. 111 Divide 1848444 by -616148. -3 What is 275 divided by -125? -11/5 Calculate 5082287 divided by -7. -726041 -4 divided by 53592 -1/13398 Calculate -54899 divided by 3. -54899/3 Divide -202827 by -3. 67609 -14 divided by 71252 -7/35626 What is -1892527 divided by 13? -145579 Calculate -525 divided by -28. 75/4 Calculate 15 divided by -573. -5/191 Divide 0 by -27979. 0 Calculate 96016 divided by 4. 24004 What is -20044 divided by -24? 5011/6 Divide 389424 by -5. -389424/5 392712 divided by -196356 -2 Calculate -80934 divided by 574. -141 -6082482 divided by 6 -1013747 Divide 3 by -1503045. -1/501015 Divide -2219024 by -16. 138689 What is 5 divided by 3436? 5/3436 7430 divided by -5 -1486 Divide -76790 by 2. -38395 Calculate 1318 divided by -1. -1318 What is 37235 divided by -55? -677 Divide 2068 by -1034. -2 -446420 divided by 8585 -52 What is 401491 divided by 3? 401491/3 What is -68088 divided by -6? 11348 Calculate 610 divided by -822. -305/411 What is 19040 divided by 28? 680 190591 divided by -1 -190591 What is -65504 divided by -46? 1424 12 divided by 6726 2/1121 5 divided by -10293 -5/10293 Divide -189162 by -189162. 1 What is -378896 divided by -189448? 2 217548 divided by -6 -36258 What is -2 divided by -169066? 1/84533 25890 divided by 6 4315 What is -69 divided by -5890? 69/5890 36651 divided by 16 36651/16 Divide 455120 by -4. -113780 Calculate -5 divided by 83286. -5/83286 72535 divided by -163 -445 -21989 divided by 21989 -1 Divide -20800 by 5. -4160 Divide 81466 by -1771. -46 Divide -1247970 by -51. 24470 What is 566568 divided by -24? -23607 What is -1917331 divided by -5? 1917331/5 Calculate -426347 divided by -1. 426347 Calculate 222 divided by 566. 111/283 What is 6772 divided by -53? -6772/53 Divide 1830612 by -4588. -399 Calculate -2 divided by -435484. 1/217742 Calculate 14931 divided by 4977. 3 Divide 1664 by -128. -13 Divide 162364 by 4. 40591 -42 divided by -1084 21/542 Divide -2385372 by -596343. 4 -884130 divided by -10 88413 Calculate 65632 divided by 6. 32816/3 What is 114746 divided by 5? 114746/5 What is -113576 divided by 1? -113576 Calculate 29552 divided by -4. -7388 -23 divided by 4965 -23/4965 What is 12620 divided by 2524? 5 Divide 1459977 by 486659. 3 Divide 121729 by 3. 121729/3 Divide 976810 by 31. 31510 Calculate 50710 divided by -2. -25355 8806 divided by -4 -4403/2 Calculate -5 divided by -14004. 5/14004 7768 divided by -3 -7768/3 Divide -103252 by 4. -25813 -2708680 divided by 52090 -52 Divide -1 by -4188. 1/4188 -899 divided by 1 -899 Divide -1465 by 169. -1465/169 What is -35 divided by -1296? 35/1296 What is -253440 divided by 3? -84480 Divide -5 by -548273. 5/548273 Calculate 18417 divided by 11. 18417/11 Divide 627965 by -125593. -5 What is 110189 divided by 5? 110189/5 What is 3 divided by 72698? 3/72698 7219755 divided by 1443951 5 What is 7 divided by 74731? 7/74731 What is -475365 divided by 737? -645 Divide -55093 by 28. -55093/28 What is -1174 divided by 6? -587/3 Divide -437 by 244. -437/244 What is 1788498 divided by -6? -298083 Calculate 5302770 divided by 16069. 330 Divide 1389140 by -1389140. -1 What is -9570 divided by 1? -9570 What is -1202 divided by -39? 1202/39 Calculate -2 divided by -4601. 2/4601 What is -149121 divided by 1841? -81 -107070 divided by 3 -35690 Calculate 723360 divided by 10. 72336 Calculate -1161936 divided by -1. 1161936 Calculate 91776 divided by 2. 45888 What is 450 divided by -45? -10 Divide 2217 by 37. 2217/37 What is -3 divided by -85043? 3/85043 What is 7874 divided by -9? -7874/9 -51264 divided by -48 1068 Calculate 17300 divided by 8650. 2 234525 divided by -295 -795 Calculate 6201 divided by 8. 6201/8 Calculate 86 divided by -355. -86/355 Divide 144455 by -173. -835 -19737 divided by 6 -6579/2 What is -305214 divided by -39? 7826 -701757 divided by -77973 9 Divide 2154 by 61. 2154/61 Calculate -393216 divided by 4. -98304 -4456 divided by -2228 2 -1085084 divided by -98644 11 -49818 divided by 2166 -23 -14089 divided by -9 14089/9 -23 divided by -37972 23/37972 Divide -6 by -19999. 6/19999 11495 divided by -2299 -5 Divide -321516 by -4122. 78 Calculate -3934 divided by -562. 7 Divide -496901 by 1. -496901 What is 1 divided by 22135? 1/22135 Divide 93758 by -2. -46879 What is -105 divided by 5018? -105/5018 -19 divided by -171796 19/171796 Calculate -44 divided by 791. -44/791 What is 384177 divided by -3? -128059 What is 20 divided by -3732? -5/933 Calculate 126675 divided by -5. -25335 Divide -2 by 136533. -2/136533 -518935 divided by -5 103787 Calculate 5051235 divided by 2555. 1977 What is 505101 divided by -101? -5001 Calculate 729050 divided by -2. -364525 Calculate 557256 divided by 8. 69657 -17158212 divided by -6 2859702 Calculate 6 divided by -32028. -1/5338 Calculate -48 divided by 6928. -3/433 Divide 1737344 by -3878. -448 Divide 8832 by 20. 2208/5 Calculate 19248 divided by -12. -1604 Calculate -172 divided by 1191. -172/1191 -181 divided by -15 181/15 What is -36034 divided by 838? -43 What is 178 divided by -358? -89/179 Divide -1 by 375601. -1/375601 What is -2380 divided by -98? 170/7 Divide -2 by 32574. -1/16287 Calculate 0 divided by -2678. 0 What is 202609 divided by 15? 202609/15 223405 divided by -5 -44681 Calculate -95 divided by 173. -95/173 -1 divided by 1817544 -1/1817544 Divide -5334 by -381. 14 What is 20 divided by -8789? -20/8789 What is 17448 divided by 2908? 6 What is 142520 divided by -20? -7126 Divide 3033722 by 5177. 586 Divide 41 by -184. -41/184 What is -4 divided by -170988? 1/42747 Calculate 9738 divided by -68. -4869/34 Divide 27384 by -14. -1956 What is 114950 divided by -190? -605 816 divided by 122 408/61 What is -4 divided by -5950? 2/2975 -803 divided by -144 803/144 1335554 divided by 7142 187 What is -23893 divided by -2? 23893/2 Calculate -5 divided by 21192. -5/21192 Divide -5 by -8875. 1/1775 What is -73635 divided by 14727? -5 682 divided by 826 341/413 -35789 divided by 13 -2753 What is 686900 divided by -34345? -20 175118 divided by 87559 2 Calculate -512820 divided by -36630. 14 Divide -9030 by 70. -129 Divide 304 by -538. -152/269 Calculate 12795 divided by 10. 2559/2 -2 divided by -48308 1/24154 What is -73899 divided by 9? -8211 Calc
{ "pile_set_name": "DM Mathematics" }
t(95)*3)/(-4*-3*(sqrt(5) + (sqrt(5) - -1*sqrt(5)))). 5*sqrt(19)/36 Simplify sqrt(2736) - (1 + -1 + sqrt(2736)) - (sqrt(171) + sqrt(171) + -1 + -5)**2. -720 + 72*sqrt(19) Simplify (-4*-1*sqrt(132) - sqrt(132) - sqrt(132) - (sqrt(132)*2 + sqrt(132))*-5)/((sqrt(120) - sqrt(120)*1*-2)/sqrt(10)). 17*sqrt(11)/3 Simplify -4*(((((sqrt(209) + sqrt(209)*-2)*3)/sqrt(11))**2 - (-1 + sqrt(19)*-2 + 1)) + -2). -676 - 8*sqrt(19) Simplify (-1*-3*(sqrt(1216) + (sqrt(1216) - (sqrt(1216) + -2)*4))*2)**2. -9216*sqrt(19) + 177408 Simplify (-1*sqrt(7344) + sqrt(51) + (sqrt(255)*1 + sqrt(255))/sqrt(5))/(-1*sqrt(3)*-3 - sqrt(36)/(-1*sqrt(12))). -9*sqrt(17)/4 Simplify 1*5*(3 + (sqrt(3) + -1 + sqrt(3) + 0 - sqrt(3))**2 + -4) + -4. -10*sqrt(3) + 11 Simplify (-6*(5*2*sqrt(180) + sqrt(180)) + -3)**2*3. 7128*sqrt(5) + 2352267 Simplify (3 + (-1*sqrt(180) - ((sqrt(5) - sqrt(20)/sqrt(4)*-2) + sqrt(5)))**2)*-3 + 2. -1507 Simplify (-3*sqrt(130)*2*-1)/(sqrt(2560) - (sqrt(2560) + sqrt(2560)*-2)). 3*sqrt(13)/16 Simplify ((sqrt(1782) - 2*sqrt(1782)) + sqrt(22) - (sqrt(22) + (sqrt(22) - (sqrt(22)*-1 + sqrt(22)) - sqrt(22)))*2)/(sqrt(96)/(-2*sqrt(3))). 5*sqrt(11) Simplify (2*(sqrt(1008) - (0 + sqrt(1008))*4) - (-2 + sqrt(1008))*-1*4)**2. 384*sqrt(7) + 4096 Simplify (sqrt(243) + 0 - (sqrt(300) - (sqrt(300)*-2)**2 - sqrt(300))) + -4*((sqrt(168)/sqrt(7))/sqrt(8) + sqrt(3)). sqrt(3) + 1200 Simplify ((sqrt(28) + sqrt(196)/sqrt(7))*-3)/((sqrt(324) - 5*sqrt(324)) + sqrt(324)). 2*sqrt(7)/9 Simplify 0 + sqrt(10)/sqrt(2) + -5 - ((sqrt(110)/sqrt(2))/sqrt(11) + sqrt(15)/sqrt(3)*3)**2. -85 + sqrt(5) Simplify (-5*(-1 + sqrt(275) + (sqrt(275) - (sqrt(275) + 0 - sqrt(275)) - sqrt(275) - sqrt(275)) + -5 + -4))**2. 2500 Simplify ((sqrt(114) + sqrt(114) + (sqrt(114) - sqrt(114)*-1))*-5 - sqrt(114) - 2*sqrt(114)*1)/(sqrt(54)/(-3*sqrt(27)/sqrt(3)))*6. 414*sqrt(19) Simplify ((((sqrt(224) - ((-2*sqrt(224) - sqrt(224)) + sqrt(224)))*-1)/sqrt(8))/(-4*-2*sqrt(100)))**2. 63/1600 Simplify ((sqrt(153) - (0 + sqrt(153) + (sqrt(153) - (-1 + sqrt(153)))))*-3 + -1)**2*-1. -4 Simplify ((-1*sqrt(128)*-1 + sqrt(128) + 1*sqrt(128)*5)*-6)**2. 225792 Simplify -1*(3*sqrt(405) + sqrt(405))**2*-4*-4*2. -207360 Simplify 2*(sqrt(72)*2)/(1*sqrt(400)) + 5. 6*sqrt(2)/5 + 5 Simplify 5*(1 + sqrt(6912))**2 + -5. 480*sqrt(3) + 34560 Simplify -2 + (sqrt(847) - -4*(sqrt(847) + -3)**2) + (sqrt(847) - 5*(sqrt(847) + -1 + sqrt(847) - sqrt(847))). -297*sqrt(7) + 3427 Simplify (sqrt(77)/(3*sqrt(7)))**2 + 1*sqrt(11)*-4 + -1. -4*sqrt(11) + 2/9 Simplify (-4*sqrt(56)/sqrt(8)*6 - (3 + 0 + sqrt(567)))**2. 198*sqrt(7) + 7632 Simplify (sqrt(55) + (sqrt(165) - (sqrt(165) + 2*sqrt(165)))/sqrt(3))/(-4*sqrt(99)) + -3. -3 + sqrt(5)/12 Simplify (0 + (4*(sqrt(99) + -2 + -5) - (4*sqrt(99)*1 + sqrt(99) - (-1*sqrt(99) + 0 - sqrt(99)))))**2. 504*sqrt(11) + 1675 Simplify 3 + 2 + sqrt(252) + 2*sqrt(252) - (-1 + sqrt(7) + 0 + 5)*-6. 29 + 24*sqrt(7) Simplify ((sqrt(96) + sqrt(96)*1*1 + sqrt(96))/(sqrt(15)/(sqrt(5)*3) + sqrt(3)))**2*-4. -648 Simplify (-4*(sqrt(2400) - sqrt(2400)*-2 - sqrt(24)))/((-1*sqrt(968) - sqrt(968)) + (sqrt(96)*-1)/sqrt(12)). 116*sqrt(3)/23 Simplify ((sqrt(1377) - (sqrt(1377) + -2 + sqrt(1377) + sqrt(1377)))*2 + 5)*2. -72*sqrt(17) + 18 Simplify 1*((sqrt(135)/sqrt(5) + -1)*6 + -2). -8 + 18*sqrt(3) Simplify (((-6*sqrt(190)*-2 - sqrt(190)) + sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190)*-2*1)/(sqrt(250) + 2*sqrt(250) + sqrt(90)*-1))**2. 19 Simplify (3*(-5*-2*sqrt(204))/(sqrt(972) + sqrt(972)*1)*-6)**2. 1700 Simplify (1*(2*sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114))*1)/(-1*sqrt(216)*-6). -sqrt(19)/36 Simplify (-1 + sqrt(448)*-2)**2 + sqrt(448) + (sqrt(448)*-2 - sqrt(448) - sqrt(448)) + -2. 8*sqrt(7) + 1791 Simplify 4 + 1*sqrt(500) - (3*sqrt(5)*2 - (sqrt(20)/sqrt(4) + 1)). 5 + 5*sqrt(5) Simplify -3 + (sqrt(45) + sqrt(45)*-1*-6)/(1*sqrt(9)*6). -3 + 7*sqrt(5)/6 Simplify (sqrt(225)/(sqrt(9) + (sqrt(108)*1)/sqrt(12)))/(sqrt(245)*2 + (-1*sqrt(15)/sqrt(3) - sqrt(5))). sqrt(5)/24 Simplify (4*(sqrt(7) - sqrt(112)) + -1 + 6*sqrt(84)/(2*sqrt(12)))**2. 18*sqrt(7) + 568 Simplify -2*-1*(1 + (sqrt(243)*3 - sqrt(3) - (sqrt(3) + 3)*5)**2). -1260*sqrt(3) + 3098 Simplify 0 + 2*(sqrt(304) - (-2*sqrt(304) + 5)) + -3. -13 + 24*sqrt(19) Simplify (sqrt(96) - (sqrt(96) - (sqrt(96) - -5*sqrt(96))))/sqrt(12) + (5*sqrt(288) + sqrt(288) - sqrt(8)) + 3. 3 + 82*sqrt(2) Simplify -1 + -6*4*(-2 + sqrt(300)) + -1 + -5. -240*sqrt(3) + 41 Simplify 1 + ((-2*sqrt(1331) - sqrt(1331))**2*-3 + 1*(sqrt(1331) + sqrt(1331)*-1) + sqrt(1331) + 4)*-5. -55*sqrt(11) + 179666 Simplify 2 + 2 + -6*(sqrt(2) + -5 + sqrt(10)/sqrt(5) + sqrt(2)). -18*sqrt(2) + 34 Simplify -6*(-5 + 1*sqrt(3645)*3 + ((2 + sqrt(3645))*2)**2). -87546 - 3078*sqrt(5) Simplify (-6*(sqrt(425) + sqrt(425)*1 + sqrt(425) + sqrt(425)) + -2)*5 + -2. -600*sqrt(17) - 12 Simplify 0 + ((2*(sqrt(14) - -3*sqrt(14)))/(sqrt(22)/(sqrt(77)/sqrt(7))))**2. 448 Simplify (-1 + (sqrt(891) + -2)**2 + sqrt(891) + sqrt(891) + 0 + 5)*2. -36*sqrt(11) + 1798 Simplify 4 + sqrt(19) + sqrt(171) + -3 - (sqrt(228)/(sqrt(12)*-2) - (-3 + (sqrt(19) - (sqrt(19) + 1 + sqrt(19))))). -3 + 7*sqrt(19)/2 Simplify 3*(1*-1*sqrt(99)*3)/(sqrt(18)/(sqrt(10)/sqrt(20))). -9*sqrt(11)/2 Simplify (((3*sqrt(42) + sqrt(42))*-2)/(sqrt(54)/(sqrt(63)/sqrt(7))))**2. 448 Simplify (sqrt(108) - (sqrt(108) + 2)*-1)**2 + ((sqrt(3)*2*-1)**2 - sqrt(3)) + ((-2 + sqrt(3) - sqrt(3))*2)**2. 47*sqrt(3) + 464 Simplify (sqrt(117) + 2 + sqrt(117) + 1 - (sqrt(117) + -1 + sqrt(117) + 3))**2*-5*1. -5 Simplify (((sqrt(468) + sqrt(468)*1 + sqrt(468))*1)/sqrt(9))/(sqrt(64)/sqrt(4) - (sqrt(256) - sqrt(16))). -3*sqrt(13)/4 Simplify ((sqrt(25)/sqrt(5) + sqrt(5))*5 - ((sqrt(5) + sqrt(15)/sqrt(3) - sqrt(5)) + 2))**2 - (3 + 4*sqrt(5) + -4)**2. -28*sqrt(5) + 328 Simplify (-2 + sqrt(72)*1 + sqrt(72) + ((sqrt(72) - (0 + sqrt(72))) + 5)**2)*-4. -92 - 48*sqrt(2) Simplify (4 + sqrt(1088)*2 + -3 + sqrt(1088))**2 - -3*(-4 + (sqrt(17)*2)**2 - (sqrt(1700)*-2 - sqrt(1700))**2). -35915 + 48*sqrt(17) Simplify (sqrt(72)*-1)**2 + sqrt(72) + 3 - sqrt(72) - sqrt(72) - (sqrt(72) + -1)*1 - ((sqrt(72) - (5 + -1 + sqrt(72))**2) + 4). 30*sqrt(2) + 160 Simplify (3 + sqrt(7) + 1)*-3 - (-1 + 3 + sqrt(1008) - sqrt(1008)). -14 - 3*sqrt(7) Simplify (sqrt(660)/(1*sqrt(1200)))/(sqrt(396)*1*-5). -sqrt(5)/300 Simplify 5 + ((2*sqrt(88)*-3)/sqrt(8) - sqrt(88)/(sqrt(800) + (sqrt(800) - (sqrt(800) + (sqrt(800)*2 - sqrt(800)))) + sqrt(800))) + -1. -61*sqrt(11)/10 + 4 Simplify ((-5*2*sqrt(99))/((sqrt(9)*-2 + sqrt(9))*4) + -4 + -4)**2. -40*sqrt(11) + 531/4 Simplify -3*((-1*sqrt(833) + sqrt(833) + -5)**2 + 2)*-5. 405 Simplify (0 + 5*(sqrt(405) - (sqrt(405) + -1 + sqrt(405) + sqrt(405))**2))*3 + 2. -54688 + 945*sqrt(5) Simplify 6*((-1 + sqrt(1584) - sqrt(1584)) + -4)*5*-4. 600 Simplify (sqrt(3) + (sqrt(432)*3)**2 - (4 + sqrt(6)/sqrt(2))) + (-6*(sqrt(3) - (sqrt(3) + -1)**2 - sqrt(3)) + -3)*-6. 72*sqrt(3) + 3758 Simplify (((-1 + sqrt(243))*-1*6 + -4*-2*sqrt(243)*2)*6)**2. 38880*sqrt(3) + 876096 Simplify (-5*2*((-1 + sqrt(76))*-6 + -5) + -5)**2. -3600*sqrt(19) + 273825 Simplify (sqrt(104)/(sqrt(1152)*4 - sqrt(1152) - sqrt(8)) + ((sqrt(325) + sqrt(13))*5 - (sqrt(208)/sqrt(4) - sqrt(52) - sqrt(52))))**2. 16336333/1225 Simplify (-1 + (sqrt(1300) + -1)*6 + 4 + 2)*-1. -60*sqrt(13) + 1 Simplify 3*(((sqrt(238)*1 + sqrt(238) - sqrt(238))/sqrt(7))/sqrt(2) - (sqrt(425) - (sqrt(425) + 1*sqrt(425) + -1))). -3 + 18*sqrt(17) Simplify -2 + ((sqrt(500) - sqrt(500)*-1)**2 + -1 - (sqrt(500) + 1)**2*-3) + 4. 60*sqrt(5) + 3504 Simplify (3*-6*1*(sqrt(1573) + sqrt(1573)*-1 - sqrt(1573))*1)**2. 509652 Simplify (-5*(sqrt(153)*-3 - sqrt(153))*4)/(3*(sqrt(1089) + (1*sqrt(1089) - sqrt(1089)))). 80*sqrt(17)/33 Simplify -2*(2 + sqrt(180) + -2 + sqrt(180) + sqrt(180) + sqrt(180) + (sqrt(180) - (1 + sqrt(180) - sqrt(180))*2)). -60*sqrt(5) + 4 Simplify ((-2*sqrt(156))/sqrt(12) + 0 + sqrt(13) + sqrt(117) + sqrt(13))**2*-3*1. -351 Simplify 1 + (3*(sqrt(2) + 2 - sqrt(2)) - (-5*sqrt(32))**2) + 2 + (sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2))*3. -791 + 9*sqrt(2) Simplify 0 + -5*(((sqrt(1216) + -2 + sqrt(1216))*-1 + -3)**2 + 5). -24350 - 160*sqrt(19) Simplify (-3 + sqrt(27)/(sqrt(90)/sqrt(640)))*-1. -8*sqrt(3) + 3 Simplify ((3*(sqrt(208)*3 + sqrt(208)))/(sqrt(100)*-4))**2. 468/25 Simplify
{ "pile_set_name": "DM Mathematics" }
vided by 16? 12 What is the remainder when 590 is divided by 81? 23 What is the remainder when 363 is divided by 186? 177 Calculate the remainder when 306 is divided by 28. 26 Calculate the remainder when 2544 is divided by 38. 36 What is the remainder when 562 is divided by 47? 45 Calculate the remainder when 35 is divided by 13. 9 What is the remainder when 241 is divided by 9? 7 What is the remainder when 28 is divided by 17? 11 What is the remainder when 82 is divided by 28? 26 What is the remainder when 559 is divided by 87? 37 What is the remainder when 23 is divided by 2? 1 What is the remainder when 1428 is divided by 43? 9 Calculate the remainder when 1817 is divided by 228. 221 What is the remainder when 1255 is divided by 88? 23 Calculate the remainder when 15265 is divided by 34. 33 What is the remainder when 40 is divided by 16? 8 Calculate the remainder when 6888 is divided by 83. 82 What is the remainder when 714 is divided by 25? 14 Calculate the remainder when 283 is divided by 147. 136 What is the remainder when 241 is divided by 21? 10 Calculate the remainder when 11974 is divided by 36. 22 What is the remainder when 162 is divided by 87? 75 What is the remainder when 157 is divided by 68? 21 What is the remainder when 358 is divided by 36? 34 What is the remainder when 244 is divided by 36? 28 Calculate the remainder when 14180 is divided by 14. 12 Calculate the remainder when 301 is divided by 18. 13 What is the remainder when 5459 is divided by 195? 194 Calculate the remainder when 152 is divided by 66. 20 Calculate the remainder when 443 is divided by 115. 98 Calculate the remainder when 333 is divided by 42. 39 Calculate the remainder when 229 is divided by 18. 13 Calculate the remainder when 72 is divided by 21. 9 Calculate the remainder when 2459 is divided by 85. 79 What is the remainder when 268 is divided by 69? 61 Calculate the remainder when 452 is divided by 76. 72 Calculate the remainder when 8082 is divided by 43. 41 Calculate the remainder when 1323 is divided by 338. 309 Calculate the remainder when 79 is divided by 49. 30 Calculate the remainder when 750 is divided by 53. 8 What is the remainder when 1357 is divided by 8? 5 What is the remainder when 150 is divided by 42? 24 Calculate the remainder when 1507 is divided by 24. 19 What is the remainder when 579 is divided by 76? 47 Calculate the remainder when 645 is divided by 27. 24 Calculate the remainder when 6637 is divided by 9. 4 What is the remainder when 879 is divided by 98? 95 What is the remainder when 186 is divided by 95? 91 What is the remainder when 303 is divided by 30? 3 Calculate the remainder when 222 is divided by 21. 12 What is the remainder when 1452 is divided by 26? 22 What is the remainder when 306 is divided by 151? 4 What is the remainder when 789 is divided by 60? 9 Calculate the remainder when 8025 is divided by 75. 0 Calculate the remainder when 2002 is divided by 34. 30 What is the remainder when 129 is divided by 24? 9 What is the remainder when 2204 is divided by 49? 48 Calculate the remainder when 208 is divided by 44. 32 Calculate the remainder when 15 is divided by 9. 6 What is the remainder when 16493 is divided by 141? 137 What is the remainder when 490 is divided by 309? 181 What is the remainder when 1826 is divided by 874? 78 What is the remainder when 235 is divided by 65? 40 What is the remainder when 521 is divided by 36? 17 What is the remainder when 2179 is divided by 137? 124 Calculate the remainder when 940 is divided by 59. 55 Calculate the remainder when 2136 is divided by 98. 78 Calculate the remainder when 39431 is divided by 318. 317 Calculate the remainder when 62326 is divided by 168. 166 Calculate the remainder when 467 is divided by 68. 59 Calculate the remainder when 8747 is divided by 36. 35 Calculate the remainder when 274 is divided by 55. 54 What is the remainder when 25 is divided by 15? 10 What is the remainder when 1011 is divided by 83? 15 What is the remainder when 254 is divided by 47? 19 What is the remainder when 3038 is divided by 87? 80 Calculate the remainder when 580 is divided by 31. 22 What is the remainder when 1245 is divided by 29? 27 What is the remainder when 356 is divided by 40? 36 What is the remainder when 359 is divided by 8? 7 Calculate the remainder when 2738 is divided by 20. 18 Calculate the remainder when 2879 is divided by 48. 47 What is the remainder when 4267 is divided by 16? 11 Calculate the remainder when 503 is divided by 7. 6 Calculate the remainder when 362 is divided by 53. 44 Calculate the remainder when 976 is divided by 320. 16 What is the remainder when 8 is divided by 2? 0 What is the remainder when 103 is divided by 17? 1 What is the remainder when 228 is divided by 204? 24 Calculate the remainder when 73 is divided by 19. 16 Calculate the remainder when 68 is divided by 17. 0 What is the remainder when 1041 is divided by 202? 31 Calculate the remainder when 146 is divided by 95. 51 Calculate the remainder when 867 is divided by 46. 39 Calculate the remainder when 78 is divided by 29. 20 What is the remainder when 6327 is divided by 5? 2 What is the remainder when 751 is divided by 379? 372 What is the remainder when 80 is divided by 19? 4 Calculate the remainder when 1089 is divided by 84. 81 What is the remainder when 37 is divided by 14? 9 What is the remainder when 677 is divided by 132? 17 Calculate the remainder when 139 is divided by 12. 7 What is the remainder when 79 is divided by 21? 16 What is the remainder when 89 is divided by 13? 11 What is the remainder when 13019 is divided by 124? 123 Calculate the remainder when 1225 is divided by 407. 4 Calculate the remainder when 438 is divided by 34. 30 Calculate the remainder when 4276 is divided by 62. 60 What is the remainder when 2087 is divided by 36? 35 Calculate the remainder when 2098 is divided by 70. 68 Calculate the remainder when 2099 is divided by 30. 29 What is the remainder when 108 is divided by 13? 4 What is the remainder when 139 is divided by 10? 9 Calculate the remainder when 634 is divided by 129. 118 What is the remainder when 49 is divided by 10? 9 What is the remainder when 22108 is divided by 330? 328 Calculate the remainder when 6046 is divided by 27. 25 Calculate the remainder when 4649 is divided by 25. 24 What is the remainder when 670 is divided by 180? 130 What is the remainder when 519 is divided by 31? 23 What is the remainder when 439 is divided by 422? 17 Calculate the remainder when 539 is divided by 36. 35 Calculate the remainder when 2196 is divided by 729. 9 Calculate the remainder when 39799 is divided by 31. 26 What is the remainder when 70 is divided by 29? 12 What is the remainder when 61375 is divided by 41? 39 Calculate the remainder when 115 is divided by 14. 3 What is the remainder when 258 is divided by 33? 27 What is the remainder when 119 is divided by 26? 15 What is the remainder when 532 is divided by 67? 63 Calculate the remainder when 83 is divided by 28. 27 What is the remainder when 9316 is divided by 77? 76 Calculate the remainder when 25 is divided by 3. 1 What is the remainder when 162 is divided by 33? 30 What is the remainder when 161 is divided by 15? 11 Calculate the remainder when 58 is divided by 47. 11 Calculate the remainder when 152 is divided by 14. 12 Calculate the remainder when 3480 is divided by 52. 48 Calculate the remainder when 1042 is divided by 209. 206 Calculate the remainder when 1228 is divided by 611. 6 What is the remainder when 191 is divided by 31? 5 Calculate the remainder when 2127 is divided by 16. 15 Calculate the remainder when 8005 is divided by 45. 40 What is the remainder when 310 is divided by 39? 37 What is the remainder when 193 is divided by 80? 33 Calculate the remainder when 46 is divided by 13. 7 Calculate the remainder when 289 is divided by 153. 136 Calculate the remainder when 77347 is divided by 35. 32 What is the remainder when 93 is divided by 32? 29 What is the remainder when 4768 is divided by 45? 43 What is the remainder when 1229 is divided by 82? 81 Calculate the remainder when 4759 is divided by 10. 9 What is the remainder when 324 is divided by 71? 40 What is the remainder when 165
{ "pile_set_name": "DM Mathematics" }
u + 16 = 4*h - u, -q*u - 18 = -3*h for h. 1 Suppose 6*i + 145 = 3*i + 5*u, -122 = 2*i + 3*u. Let g = -29 - i. Solve 2*o + g + 5 = 5*f, f - 5 = 0 for o. -3 Let t be (-76)/(-6) + 4/(-6). Let r = 15 - t. Let d(v) = -v + 7. Let a be d(5). Solve 0 = 3*i - 5*p + 19, 0 = -r*i + 2*i - a*p + 12 for i. 2 Let q(s) = -15*s**3 - 5*s**3 - 11*s**3 + 30*s**3 - 15 + 8*s**2 - 9*s. Let r be q(6). Solve r*o = -3*a, 0 = -2*a + 3*a - o + 6 for a. -3 Suppose -7*w + 56 = 14. Solve -4*r = -w*f + 4*f + 6, -2*f + 11 = r for f. 5 Let a be 2/5 + 169/65. Solve -2*c = -j - 7, -j - 5 = 3*c - a for j. -5 Let i be 448/(-252) + 4/(-18). Let r be 0 - (0 - -1)*4. Let m = i - r. Solve -m*y - 15 = 3*z, -z - 2*y = 1 + 8 for z. -3 Let d(w) = w**3 - 7*w**2 - 28*w + 98. Let b be d(9). Solve 0 = -4*i + 5*l + b, 6 + 3 = i - 3*l for i. -3 Let o(n) = -n**3 - 35*n**2 - 33*n + 39. Let w be o(-34). Solve 2*q + 2*k + 4 + 0 = 0, -5 = -w*q - 2*k for q. 3 Let d = 1314 + -1312. Solve 0 = -5*t + 4*v - 40, -27 = t - 5*v + d for t. -4 Suppose -12 = 4*o - 2*v, 6*o = o - 5*v - 45. Let j = o - -6. Let c = j + 1. Solve 4 = -2*l - 2*n, 3*l - 4*n + 11 = -c*n for l. -3 Suppose 3*a - 6 - 3 = 0. Let d be (3/(-4))/(1/(-4)). Suppose -52*k + 324 = 2*k. Solve a*o + 2*l + k = -3, -d*o - 3 = 4*l for o. -5 Suppose -74 = -23*n + 41. Let c(j) = -5*j - 1. Let t be c(-1). Solve 2*h - 3 = t*h + x, h = n*x - 7 for h. -2 Let a be (-75)/(-45) + ((-20)/15)/(-4). Solve -5*y = -2*l, -3*y = -a*l - 4*y for l. 0 Suppose -2*i - 2 = -3*p, 106*i - 10 = 102*i - p. Solve -t + 2*j + 0*j = 11, i*j = -t + 5 for t. -3 Let n be (0 + 4)/(2/1). Suppose 0 = p - 5. Suppose 4*j = p*j. Solve 2*r = 3*l + 16, j = n*r - 3*r + 4*l + 18 for r. 2 Let n be ((-4)/6)/((-8)/(-12)). Let a = 1 - n. Suppose 3*f + 6*c - 21 = c, -f + 5*c = 13. Solve f*v + 2*s - 6 = -2*s, a*s = -4*v for v. -1 Suppose 2*m + 10 = 4*m, 15 = -n + 4*m. Let u = 28 + -26. Solve -4*q = -n*k - 35, 31 = 6*q - q - u*k for q. 5 Let a be ((-24)/36)/(((-2)/6)/1). Let n be 3 + (2 - a)/(-1). Solve 4*g - 24 = 4*r, -3*g + r + 8 = n*r for g. 4 Suppose 32*w - 3*w - 145 = 0. Solve d = -3*d - w*a + 1, -2 = -d - 3*a for d. -1 Let h(m) = m**3 - 3*m**2 - 4*m + 6. Let f be h(4). Suppose f*a + 5 = 7*a. Solve -5*c - 8 = -a*g - 33, g + 5 = -2*c for g. -5 Let n = -1708 - -1718. Solve -x - 20 = 4*r, -2*x + 5 - n = r for x. 0 Suppose 0*o - 28 = -14*o. Suppose -3*y + 22 = 4*u, o*u = 3*y - 3*u + 14. Solve 3*f + 20 = 3*n - n, f + y*n - 4 = 0 for f. -4 Let d = 41 - 14. Let x = -23 + d. Suppose 0*q = -x*q + 8. Solve 3*i + 19 = -2*o, -q*i + 7*i + 19 = 3*o for i. -5 Let k(r) = 3*r + 5. Let b be k(-15). Let h = b - -62. Solve 5*n = -0*a + 5*a + 30, -5*a + n - h = 0 for a. -4 Suppose 0 = -3*z + 13*z + 60. Let x be 6 - 1/((-3 - 0)/z). Solve x*a - 6*a = -k - 5, -3*k - 15 = 4*a for k. -5 Let k(i) = i**2 + i - 7. Suppose -29 = -6*t - 11. Let h be k(t). Let q be (-1)/(-4) + (-22)/(-8). Solve 3*w + 0*z - q*z = 27, -h*w + 37 = -3*z for w. 5 Suppose 3*g + 3 = -5*x - 2, g + 1 = -x. Let s = x + 17. Solve 2*o - 4*v = 5*o + s, 16 = -2*o - 4*v for o. 0 Let w be (3/(-9)*-2)/(11/66). Solve p + p - w = u, 3*u + 4*p - 18 = 0 for u. 2 Suppose 29 = t - 48. Let o be (-14)/t + (-568)/22. Let m = o + 42. Solve -h + 4*h - m = 4*g, 3 = 5*g + 2*h for g. -1 Let o(h) = -5*h + 15. Let k be o(2). Solve 4*x - 4*s = -2*s - 12, 0 = -4*x + k*s for x. -5 Suppose m - 19 = -11*o + 6*o, 4*m + 16 = 3*o. Suppose o*q + 16 = 2*v, -2*v = 3*q + 10 - 5. Solve 4*x + 3*f + 6 + 15 = 0, 12 = -2*x - v*f for x. -3 Suppose 0 = 4*g - 18 - 6. Let z = 9 - g. Solve -t - o = -z, t + 2 - 3 = o for t. 2 Suppose 4*g + 4*l = 32, 5*g = l + l + 19. Suppose 10 = -3*r - g. Let q = r - -5. Solve -2*u = 2*j, q - 3 = -3*u - 2*j for u. 3 Suppose 60 = 115*y - 100*y. Solve 4*r = 5*n - 41, -33 = -5*n + y*r - 2*r for n. 5 Let o = 540 - 537. Solve -2*b + 7*b = 3*j - 31, 0 = o*j - 3*b - 21 for j. 2 Suppose 6*b - 3*b - 2*c + 8 = 0, 2*b = -5*c + 20. Suppose b*p + 3*p = 6. Let m(l) = 10*l. Let k be m(p). Solve -3 - 1 = 4*n + 2*u, -4*n - k = -2*u for n. -3 Let l be (-1)/((-1)/26) - (11 + -14). Suppose 2*q + l = 5*z, -5*z - q + 24 + 14 = 0. Solve -o + 1 = 0, -3*j - o = -z*j + 19 for j. 5 Suppose 1 = 4*y + 4*b + 9, 3*y = 3*b + 24. Solve -5*j - 45 = 4*p, -2*p - j = -y*p for p. -5 Let b = -8 + 4. Let y(q) = 4 + 44*q + q**2 + 47*q - 89*q. Let h be y(b). Solve 5*v = 4*z - 7, -2*v - 3*z = v - h for v. 1 Let u(t) = t**2 + 6*t + 9. Let r be u(-4). Let c be (2 + 37)/3 - r. Solve 5*p + w = c, -2*p + w + 6 = 2*w for p. 2 Suppose -x + 3 = -4*r + 12, -5*r - 5*x + 5 = 0. Let j be r/(-4 + (-1 - -3)). Let q be j/(-5) + (-1)/5. Solve 2*b - a = 0, q*a = 4*b + 4*a + 24 for b. -2 Suppose -a + 13 = -5*h, a = 2 + 1. Let p = h - -5. Suppose p*w + 0*w = 42. Solve w = 4*g - m, g + g - 12 = -2*m for g. 4 Suppose -n + 6 = 4*z, -z - 4*n = z + 4. Suppose p - 4 = z*k, 4*p + k + 2*k - 5 = 0. Solve -4*u - p*f - 2 = -5*f, -2*f = -4*u for u. 1 Suppose -11 = 4*b - p, -p - 15 = 3*b - 4*p. Let v(l) = 5*l**2 - 2*l. Let f be v(b). Solve 5*w - 21 = -k, 0 = -k - w + 5*w - f for k. -4 Let j be 123/(-82) - (-14)/4. Solve -2*s + 5 = 5*v, s + 5 = j*s for v. -1 Let j = -61 - -70. Suppose -o = -5*d + 15, -5*o = 3*d - 10*o - j. Solve 3*g - d*f + 22 = f, 5*f - 18 = -g for g. -2 Let u be 0/3 - (-1 + 3). Let f be (-27)/(-6) - 1/u. Solve 2*r = -10, 5*r = f*q - 12 - 18 for q. 1 Let w(u) = -u**3 - 3*u**2 + 3*u - 2. Let f be w(-4). Let d = -16 + 28. Solve 3*l - 6 = 5*n + l, -d = f*n - 4*l for n. 0 Let d(y) = -5*y + 14 - 4*y + 10*y - y**3. Let r be (0 - 0)*-1*1. Let n be d(r). Solve -2*u = -3*j - n, 5*u + 1 = -2*j + 17 for u. 4 Let y = 501 - 499. Solve 4*r + 22 = -3*b - 3, -y*r = b + 11 for r. -4 Suppose 0 = -g + 5 - 4, 2*k = -3*g + 201. Let f be (-90)/(-11) - 18/k. Suppose -3*c = -f*c. Solve 0*h - 5*h - 4*d + 19 = c, 5*h - 3*d - 12 = 0 for h. 3 Suppose 0 = 5*r + 7 - 22. Suppose 4*w + 14 = 2*v, -5 = -2*v + r*v + 4*w. Solve 2*a - 4*a - 3 = g, 0 = v*g + a + 14 for g. -5 Suppose 0 = -3*o + 15, d = -d - o + 9. Solve 3*l + 5*t = -0*l + 7, -d*l = 3*t - 4 for l. -1 Let o(u) = -2*u**3 + 11*u**2 + 25*u - 28. Let h be o(7). Solve -2*w + 4*w - k + 11 = h, -w = 3*k + 2 for w. -5 Suppose 6 = 2*y - 2. Solve -3*z = -s - 15, -y*z + z + 15 = -2*s for s. 0 Let p = 983 + -981. Let j(s) = 6*s**2 + 1. Let t be j(-2). Suppose -m + 5*o - t = 0, -4*m + 5*o - o = 20. Solve 2*b - p = -2*f, -b + 6*b = m for f. 1 Suppose 0 = 15*f - 16*f + 12. Suppose 0*g = 5*g + 20. Let z = 4 + g. Solve -4*x - 3*k - f = -z*x, -3*k = 0 for x. -3 Let n(v) = v**3 + 3*v**2 + 5*v + 25. Let h be n(-3). Solve -5*b - h = -2*c - 3*b, -2*b - 9 = -c for c. 1 Let f(w) = -2*w - 7. Let u be f(-6). Let g = u - 2. Suppose 5*l + 4*x = 137, l - x + 0*x = 22. Solve -g*b = 2*j - 6*b + 10, l = -5*j + 3*b for j. -5 Suppose 4*t + 5*a = 62, 5*t - 6*t + 7 = -3*a. Let b be (2 + -3)/(1/(-5)). Suppose -l = -b*l. Solve 2*w - 4 + 0 = l, i - 5*w + t = 0 for i. -3 Let n(m) = m**2 + 17*m + 77. Let x be n(-8). Solve 2*q - 4*q = y - 8, y = -q + x for y. 2 Let r = -550 + 562. Solve -i + r = 4*i + s, -2*i - 3*s - 3 = 0 for i. 3 Suppose 5*r + 760 = -5*r. Let z = r - -85. Solve -3*k - 6 = 3*x, -2*k + 0*x - 3*x - z = 0 for k. 3 Let i(l) = -6*l + 23. Let x be i(3). Solve 0 = -f - 2*u + 7*u + 22, 12 = -4*f - x*u for f. 2 Let j = 20 - 15. Let l(c) be the second derivative of c**3 + 11*c. Let f be l(2). Solve -g = 5*u + 17, -2*g - 7 = j*u + f for g. -2 Let a be 3 + (2/16 - 1/8). Solve 0 = 2*j - 2*s + 12, -2*j + a*s = 13 for j. -5 Let p = 69 - 57. Suppose 2*n + p = 5*n. Solve -n*a + 0*a = 5*w, 0 = 4*a + 2*w + 12 for a. -5 Let d be (3 - 8)*(1 - (-9)/(-5)). Solve k + 32 = -d*q + 5*k, -4*q + k - 17 = 0 for q. -3 Suppose -67*s + 73*s - 18 = 0. Solve 3*b + 0*m = 4*m - 9, -3*m + 6 = -s*b for b. 1 Suppose -5*d - 4*d = -504. Let x = d + -54. Suppose -a - 3 = p, 2*a + p = 6*a - 13. Solve -40 = -4*h - 4*k, x*k = a*h - 0*k for h. 5 Suppose 56*n = 66*n - 30. Solve -n*u + 9 = 2*l, -3*l = -5*u + l + 15 for u. 3 Let m = 100 - 169. Let t = m + 73. Solve 2*o - 5*u = 6, 2*o - o - 3 = -t*u for o. 3 Let s(x) = 3*x + 13. Let z be s(-7). Let c = 6 + z. Let d be 0 + c - (-2 + 0). Solve -4*f + u = d, -2*u = -4*f - 7*u for f. 0 Let s be ((-1)/(-4 + 36/8))/(-1). Solve -3*u + 18 = 3*k, -s*k + 4*k - 14 = -3*u for k. 4 Let a = -41 + 46. Suppose 6*c = a*c. Let d
{ "pile_set_name": "DM Mathematics" }
? 220 Let f be ((-11)/22)/(2/3713). Let u = f + 9327/10. Find the common denominator of u and (-3)/22*(-67)/3. 220 Let k(a) = a**3 - 9*a**2 + 13*a + 10. Let z be k(7). What is the least common multiple of 5 and ((-2)/z)/(12/(-36))? 10 What is the common denominator of -41/64 and (-655)/15*1/6? 576 Let b be ((-1697)/(-15))/((-3)/(-245)*-2). Let k = -4616 - b. What is the common denominator of k and (-1035)/(-100) + (-4)/(-10)? 36 Let c(j) = -j**2 - 11*j - 26. Let s be ((-147)/9)/(2/6). Let y = 71 + s. What is the smallest common multiple of c(-7) and y? 22 Let p = 42527/12 + -3546. Let y = -1064 + 506465/476. Let w = -3691/952 + y. Calculate the common denominator of w and p. 24 Let j be (-6)/9*(-5)/(10/216). Suppose -2*z + j = 7*z. What is the lowest common multiple of z and 10? 40 Let l = 85 - 1189/14. Let t = -2/6017 - 11483/12034. What is the common denominator of t and l? 154 Let z(c) = -c**3 - 6*c**2 + 4. Calculate the smallest common multiple of 1124 and z(-6). 1124 Suppose 4*k = 3*v + 47, 9 - 11 = 2*v. What is the least common multiple of 10 and k? 110 Let n = 104 - 87. Suppose n*b - 22 = 16*b. What is the lowest common multiple of 8 and b? 88 Let y = -9323/78 + 3935/13. Let f(d) = -78*d - 2. Let z be f(2). Let w = z + y. What is the common denominator of w and -55/6? 6 Let a(g) = 8 - 29*g**2 + g**3 + 9*g + 21*g**2 + 3*g. Calculate the lowest common multiple of a(6) and 1. 8 Calculate the lowest common multiple of 10 and (7 - 7) + (-3 - 75/(-3)). 110 Suppose 2*u = 16 + 4. Suppose -4*s - 3*r + u = s, -4*r = -4*s + 8. What is the lowest common multiple of s and 3 - 8 - (12/15)/(2/(-30))? 14 Let c = -3443/2 - -1717. Find the common denominator of 81/68 and c. 68 Suppose 32 + 32 = 2*l. Let a = 3198 + -3184. Calculate the smallest common multiple of a and l. 224 Let c = 4/1731 + 40927/17310. Calculate the common denominator of 393/360 - (2340/100)/13 and c. 120 Calculate the common denominator of (-1 + (-117)/(-81))*-33 and 30/767. 2301 Let y(l) = 2*l + 13. Let f be y(-4). Suppose -6 = -f*m + 39. Calculate the lowest common multiple of 15 and m. 45 Suppose -2*a + 1554 = a. Let o be a/13 - 6/(-39). Calculate the lowest common multiple of 35/10*o/14 and 6. 30 Let r(c) = c + 10. Let h be r(-6). Let t(p) = p**3 - 3*p**2 - 3*p + 2. What is the least common multiple of 11 and t(h)? 66 Let p be -1 + 3/21 + (-720)/(-7). Let j = 120 - p. Calculate the smallest common multiple of 6 and j. 18 Let x = 15089 + -663879/44. Find the common denominator of x and 29/8. 88 Suppose -5*r = -2*c - 2 + 5, -3*c = -r - 11. Calculate the common denominator of c/(-10) + 1210/525 and -125/6. 42 Let y(k) = -k + 7. Let i be y(5). Suppose 2*f - 4*f - i*u = -36, 2 = -u. Suppose -4*g + f + 68 = 0. What is the lowest common multiple of 18 and g? 198 Let g be 28/(-49) - 140878/7. Let j = g + 482953/24. Find the common denominator of j and -91/20. 120 Suppose -2154 = 2*n - 468. Let h = n + 4232/5. Calculate the common denominator of h and 47/8. 40 Let p = 688/7 - 5343/56. Let m = 46 + -49. Find the common denominator of 11/((-55)/(-6)) - m/(-2) and p. 40 Let v = 10542/5 - 2100. Let y be 9/(-6) + (-3322)/(-4). Let s = y + -11595/14. Calculate the common denominator of s and v. 70 Suppose 4*h - 142 = 682. Let f = 344 - h. What is the common denominator of -51/10 and f/(-16) - (-12)/(-4)? 40 What is the common denominator of -25/8 and 26/16 + -1*(-4 - -6)? 8 Let o = -1361869/42 - -32428. Find the common denominator of -85/42 and o. 42 Calculate the lowest common multiple of (2/(-4))/(4/(-8)) and -21*(-5)/75 - 6/(-10). 2 Let i = 140 + -133. Calculate the least common multiple of i and 49. 49 Let a be (40/(-24))/(((-3)/(-171))/1). Let x = 373/4 + a. Find the common denominator of 19/18 and x. 36 Let u be 0/(-2) - (10 + -2). Let m = -20 - u. Find the common denominator of -57/16 and (46/(-14))/(m/(-30)). 112 Suppose -3*k - 4*l = -8*k + 1066, -4*k - 2*l + 832 = 0. What is the lowest common multiple of k and 21? 210 Find the common denominator of -51/88 and (-1)/(550/(-60)) - (-2)/10. 440 Let d = -366 - -436. What is the least common multiple of 6 and d? 210 Calculate the least common multiple of 217 and (-340)/(-102)*(-27)/(-15). 1302 Let x be ((-45)/(-6))/((-38799)/50859). Let c = 1/479 - x. Find the common denominator of -11/4 and c. 12 Suppose 0 = -i + 35 + 20. Let d be 6/2 - (-1 + 2). Suppose -d*b + 7*b = i. What is the lowest common multiple of b and 5? 55 Let s be 3/(4/(-16)*1)*1. Find the common denominator of ((-1)/s)/(4/(-63)) and 75/16. 16 Suppose -4*w + 0*w - 2*a = -90, 4*a - 12 = 0. Suppose -4*o = 3*p - 75, 5*p - 24 + 73 = 3*o. What is the lowest common multiple of o and w? 126 Let s = -399 - -407. Let y(l) = l**3 - l**2 + 4*l - 3. Let j be y(2). Let u = -2 + j. Calculate the least common multiple of s and u. 56 Let u = -7 + -31. Suppose -a + 4*f = -6*a - 11990, 3*a + 2*f = -7196. Let h = 26372/11 + a. What is the common denominator of u and h? 11 Let u(r) = -2*r + 22. Let t be u(7). Suppose 2*o + t = 3*o. What is the least common multiple of o and 4? 8 Suppose -2*a + 78 = -7*x + 5*x, 4 = 4*x. Calculate the common denominator of (158/a + -4)/((-3)/(-378)) and -56/3. 30 Let r = 47 - 94. Let p = r - -85. What is the lowest common multiple of 4 and p? 76 Let x = 57410 + -40766. Let u = 6873976/413 - x. Let h = 61585/4956 - u. Calculate the common denominator of h and 101/12. 12 Find the common denominator of -85/132 and -4 + (7/6)/(14/(-98)). 132 What is the common denominator of (310/(-50)*2)/((-4)/(-15)) and -6/119? 238 Suppose 0 = 2*h - h. Let o be 0/(-3 - h/(-3)). Suppose v - 3*w = 10, -4*w = -2*v - o + 28. What is the smallest common multiple of v and 14? 154 Let j = -2704737/106 + 25516. What is the common denominator of 61/424 and j? 424 Let b(f) = f**2 - 17*f + 36. Let z be b(16). Suppose 0 = 2*r - 3 - 3, -2*a = -4*r - z. Calculate the lowest common multiple of a and 2. 16 Let w(n) = 2*n**3 + n + 5*n**3 - 2*n**2 + 2*n**2. Calculate the smallest common multiple of 18 and w(1). 72 Let v = 772/21 + -2489/42. Let t be (-2)/(-9) - 3704/63. Let u = t - -3788/63. Calculate the common denominator of u and v. 18 Calculate the smallest common multiple of (-104)/(-28) - (-2)/7 and 220. 220 Let b = 8/4575 - -487957/896700. Find the common denominator of b and 99/28. 196 Let i = -306 + 311. What is the least common multiple of 10 and i? 10 Let y = 360 + 944. What is the least common multiple of 18 and y? 11736 What is the smallest common multiple of 6 and 2245/7 - 206/(-721)? 642 What is the common denominator of (15/(-250))/((-18)/15) and 42/(-8)*(-5)/((-45)/(-26))? 60 Let n = 14 + -12. Suppose -3*d = n*b - 140, 2*d + 3*b + 12 - 102 = 0. What is the least common multiple of d and 14? 336 Let y = 102075 - 5104137/50. Let h = -8017/800 - y. Calculate the common denominator of -55/14 and h. 224 Let g(r) = -3*r + 51. Let d be g(17). Suppose d*p - 40 = -4*p. Calculate the least common multiple of p and 20. 20 Let x = 87/2 - 45. Let y = x + -53/3. Calculate the common denominator of 1/2 and y. 6 Suppose 3 = -w + 2*m, -2*w - m = 4*m - 39. What is the lowest common multiple of w and 4? 28 Let q(t) = -2*t**2 - 68*t - 110. Let x(c) = 22*c - 2. What is the smallest common multiple of x(2) and q(-32)? 126 Let c = 591/140 - -19/28. Find the common denominator of c and 5/206. 1030 Let w(j) = j**3 - 3*j**2 - 4*j + 2. Let k be w(4). Let z = 6 + k. Calculate the lowest common multiple of 9 and z. 72 What is the least common multiple of (93/4)/(48/192) and 27? 837 Let y = 544575/44 - 12378. Find the common denominator of y and 71/12. 132 Let s be (5/10)/((-9)/7149). Let w = 387 + s. Calculate the common denominator of 1/6 and w. 6 Let u = 1760/9 + -9286/45. What is the common denominator of u and ((-765)/495)/(2 - 1)? 55 Let f = -1229/36 + 23/36. What is the common denominator of f and (-2)/(-7)*4578/144*2? 6 Let q = -19290 + -21759. Let h be q/6*(-3)/(-168). Let z = h - -818/7. What is the common denominator of 47/54 and z? 432 Suppose -6*w + 736 = -938. Calculate the smallest common multiple of w and 310. 2790 Let h(t) = t**3 - 4*t**2 + 3*t - 4. Let w be h(5). Suppose 2*x - 6*x = w. Find the common denominator of -33/40 and (x/(-18))/((-10)/61). 40 Let n = -147 + 326. Suppose -5*i + 6*i -
{ "pile_set_name": "DM Mathematics" }
Let o = -4532 - -4535. Solve l + 7 = n - 1, -5*n + 34 = -o*l for n. 5 Let t = -14743 - -14746. Solve 4*f = t*u - 11, 2*u - 6 = 38*f - 34*f for f. 1 Let d(q) = -2*q**2 - 61*q + 28. Let u be d(-31). Let a be (-68)/(-12) + u - (-8)/24. Solve 0 = -5*r + 2*g - 12, -r + 0 = a*g - 1 for r. -2 Suppose 3*m + 1 = f, 5*m + 0*m = -2*f + 24. Let p = 183 + -158. Let k be 295/p - 1/(-5). Solve 3*v - 2*g = 6, 5*v - f*g = -3*g + k for v. 0 Suppose -5*d = -3*r - 25, 9*r - 10 = -30*d + 28*d. Solve 3*m + 6*q - 10*q + 5 = 0, -2*m = -d*q + 15 for m. 5 Suppose 28*d = 14578 - 13906. Solve k = 4*x + 3*k + d, 3*k = -6 for x. -5 Suppose x + 3*c = 15, 0 = 13*c - 8*c + 15. Suppose 7*q - x = q. Solve -2 = y, -4*y = q*z + y + 14 for z. -1 Let s be (-6)/(-21) - (-4)/(-14). Suppose s*y = 5*y. Suppose 6*o + 3302 - 3314 = 0. Solve y*p + o*p = v, -5*v + 12 = -4*p for p. 2 Let n be 12/16 - 2/(-8). Let k be (-1)/(n/(-18)) + 6 + -2. Suppose 25*s - 9 = k*s. Solve 5*f + i + 10 = 5*i, s*i = -4*f - 8 for f. -2 Let c = 145 + -143. Suppose 2*v + 4 = 2*l, c*v + 0*v - 3*l = -9. Solve 3*h + v*x - 30 = 8*h, x = 2*h + 11 for h. -3 Let w = -14974 - -14979. Solve -38*z = -37*z + w*x, 2*z - 4*x + 14 = 0 for z. -5 Suppose -55*c + 33*c + 4104 = 14*c. Solve l + 4 = -4*z, -4*l + c - 130 = -2*z for l. -4 Let w(y) = -3*y**2 - 322*y - 419. Let s be w(-106). Solve s*j + 5 = -5*t, -135 = -3*t - j - 138 for t. -1 Let v be (88/40 + -3)*10/(-4). Suppose v*a + 23 = 5*m, -8*m - a + 2 = -6*m. Solve -3*z + 2*u + 4 = 0, -m*u + 10 = -8*u for z. 0 Suppose 7 = 2*g + f, 4*g + 2*f = -3*f - 1. Suppose -4*s = -301 + 333. Let a be -12*g/s - 5. Solve -a*q + 2 = 2*x, 0 = 4*q - 0*q - 5*x - 9 for q. 1 Suppose -62*r - 34 + 158 = 0. Suppose -f + r*n + 3 = 0, n - 2 + 1 = 0. Solve f*p + 4*g + 11 = 0, -5*g - 9 = 11 for p. 1 Suppose 2*a = g - 17, 35*g - 30*g + 5 = -5*a. Solve -7*f + 3*v + 0*v + 29 = 0, f - g*v = -5 for f. 5 Suppose 0 - 3 = -m. Suppose -48*k + 83*k = 175. Let q(p) = -p**3 - 12*p**2 - 10*p + 15. Let s be q(-11). Solve -k*d = 0, 3*d = m*j - s - 2 for j. 2 Suppose 0 = -0*i - 11*i. Suppose 0 = -3*g - 4*g + 42. Suppose 12 = -2*o + g*o. Solve -4 = 5*f - o*x - i, -f - x = -4 for f. 1 Let y(h) = 3*h**2 + 1. Let g be y(-1). Let n be 5/((-5)/6) + (-18)/(-3). Solve n = g*d, 0*v + 2*v = -4*d + 10 for v. 5 Let i = 98 - 83. Suppose -2*t - i = 5*k - 5*t, 0 = 3*k + 5*t - 25. Let l be -5 + k/1 - -5. Solve -4*c + 3*w = 10, l = 3*c - 5*w + 1 + 1 for c. -4 Let s be 84 + 7 + 2 + 5/(-1). Let h(a) = s*a**2 - 3*a - 85*a**2 - 1 + a. Let z be h(-1). Solve 5*q = 2*u - u - 3, -z*q - 3*u = -9 for q. 0 Let p(o) = 5*o - 78. Let m be p(16). Solve 3*u - 6 = m*f - 21, -f = 0 for u. -5 Let d(b) = -b + 21. Suppose 5*c - 33 = 27. Let p be d(c). Let t = -75264 - -75266. Solve 2*f - 4 = 5*y, -y - t*y = -5*f - p for y. -2 Suppose -w = 3*w - 36. Let m be -2*6/(48/628) + -1. Let b = 162 + m. Solve b*i - 12 = h, -h + 5*i - 6 = w for h. 0 Suppose r - 3*h + 29 = 14, 0 = -2*r - 5*h + 36. Solve 11 = -2*f - s, 2*f + r = -4*s - 11 for f. -5 Suppose 12*c - 7*c - 20 = 0. Suppose -c*u + 51 = -d - 20, 2*d = -2*u + 38. Suppose 4*b - 2 = u. Solve -w + 2 = 2*i + i, -b*w - 24 = -2*i for w. -4 Let o(l) = 2*l**2 + 945*l - 1893. Let q be o(2). Solve -3*i - q*g + 10*g = -31, -i = 3*g + 13 for i. 2 Let w = -170 + 171. Let t = -98 - -101. Solve 7*d - 3*d = r - w, -t*d = r + 6 for r. -3 Let m(s) = 51*s**2 + 3058*s - 101. Let g be m(-60). Solve -4*p - 4*a = -4, -p = -21*a + g*a - 10 for p. 4 Suppose -3*h + p + 26 + 28 = 0, -4*h - p = -79. Solve 0 = -10*a + 5*a - 3*r - h, 10 = -2*a - 2*r for a. -2 Let f = -202 - -212. Let v be -9 + f - (1 + -3)*1. Solve -p + 8 = j, 6 + 6 = v*p for j. 4 Let n be (-63)/(-15) + 0 + 5/(-25). Solve -7 = 4*o - g, 3 = 3*o - 2*g + n*g for o. -1 Let x be 4*1 + (385/(-220) - (-2)/(-8)). Solve 4*q = 4*l - 4, -2*l - 1 = -q + x for l. -4 Let p be (5 - 6) + 1 - -31. Suppose s + 2*w - p = 0, w = -s - 0*w + 28. Suppose s*a - 28*a + 51 = 0. Solve -a = 5*r + 2*v, -2*r - 2*r - v = 16 for r. -5 Let o(m) = -24*m - 2415. Let d be o(-101). Solve d*b - 21 = z + 4*b, 5*z + 2*b - 3 = 0 for z. -1 Suppose 2*f + 96 - 132 = -g, -66 = -3*g + f. Solve q - 4*v - g = 5*q, 27 = -5*q - 4*v for q. -3 Let o be -463 - (11 - 2/1). Let c = -466 - o. Solve 2*l - 8 = -2*x + c*x, -5*l = -4*x - 14 for x. -1 Let u(d) = -2 + 5*d**3 + 3*d**3 - 2*d**2 + 4*d - 7*d**3. Let g be 28/8 - 3/2. Let t be u(g). Solve -5*j + 2*j + 2*z = 8, -5*z + t = -4*j for j. -4 Suppose -190*y + 4*b + 16 = -188*y, -2*b = 5*y + 8. Solve -2*v - 3*p + 0 + 2 = y, -3*v = -p - 14 for v. 4 Let g(o) = o**3 + 4*o**2 - 23*o - 31. Let z be g(4). Solve -8 = 9*b - 12*b + z*s, 4*s = -3*b - 1 for b. 1 Suppose 0 = 5*f - 25, -8*u + 5*u + 61 = 5*f. Solve -7*s - u = -i + 30, -2*i = 0 for s. -6 Suppose -2*y + 137 - 163 = 4*k, 0 = -3*y + k + 24. Let h = 5 + 1. Solve -2*d = -y*n - h*d + 10, 0 = 2*n - 4*d + 24 for n. -2 Let b(k) = k**3 - 7*k**2 + 6*k - 6. Let n be b(5). Let f = 30 + n. Suppose f*j = 9*j - 10. Solve -c - j*m = -3*m + 3, -15 = c - 4*m for c. 1 Let o(g) = g**3 + 3*g**2 - 211*g + 69. Let b be o(13). Solve -m + 14 = -108*y + 110*y, 5*m = -2*y + b for y. 5 Let t(b) = -b**2 - 12*b - 16. Let l be t(-10). Let p be (-273)/(-126) + 8/(-48). Solve 14 = -3*u + l*w, 0*u + 5*u = -4*w - p for u. -2 Suppose -l + 10 = 4*l. Let d(q) = -q + 1. Let j be d(1). Suppose -144 + 60 = -42*p. Solve -l*v - 4*i = 2*v, -p*v - 5*i + 12 = j for v. -4 Let f = 291 - 284. Suppose 0 = f*s + 8 - 64. Solve 0 = 2*p + 2*g + 8, 4*p = s*p + 2*g + 12 for p. -2 Suppose -11 = -4*m - 4*n + 37, m - n - 8 = 0. Let s be (-15)/(-5) + m/5. Solve 2*c - 28 = -4*x, 3*x + 11 = -s*c + 46 for x. 5 Suppose -4*x + 2*x + 16 = 0. Suppose 0 = 2*a - 4*j - x, 2*a + j - 11 = -3. Let l be 12/(-2)*90/(-27). Solve 3*t + 5*o + 18 = o, 0 = -a*t - 4*o - l for t. -2 Let w be (-13)/(26/10)*-2 - 7. Solve w*p + 4*j - 14 = 0, -35*p + j + 3 = -39*p for p. -2 Let v(i) = -5*i**3 - 2*i**2 + 1. Let g be v(-1). Let s be (0 - (-3 + 123/42)) + (-293)/(-14). Solve -w + 4*p = -s, -7 - 9 = g*p for w. 5 Suppose 11*l - 169 = 18. Solve 3*f + 22 = -5*m, -l*m + 18*m = -f - 4 for m. -5 Suppose 10*n = 14*n + 4*k - 8, 3*n - 3*k = 6. Solve -n*j = -4*t + 18, -4*j = -5*j - 1 for t. 4 Let z be ((-30)/(-27) - 1) + (-19)/171. Let d be (-53)/(-3) - (-5)/15. Suppose -d = -9*i - z. Solve f = i*k + 1, 3*f - 3*k + 12 = -2*k for f. -5 Suppose -7 = 4*a + 4*t + 9, -3*t - 12 = 0. Suppose 0 = 5*f - 5*v - 20, -2*f = -v + 6*v - 15. Solve a = -3*j + f*w + 6, -15 = -3*w + 8*w for j. -3 Let i be 4*(1/16)/(56/448). Solve -2*d - 4*s = 0, 35*d + i*s = 32*d + 8 for d. 4 Suppose 0 = 5*n + 4*g - 20, n - 3*g = -65 + 69. Solve 0 = -4*r - 4, 4*r + 395 = -n*y + 403 for y. 3 Let d(z) = -z**3 - 18*z**2 - 18*z - 14. Let x be d(-17). Solve 3*t = 4*n - 4, 2*t = 3*n - 6 + x for t. 0 Let a(s) be the first derivative of 5*s**2 - 23*s + 24. Let o be a(3). Let t = -54 - -59. Solve 4*v - o = -0*v - t*u, -3 = 3*u for v. 3 Let z(d) = -d**2 + 22*d - 37. Let i be z(20). Solve 2*k + 5 = -i*c, -2*k + 33 - 26 = -c for k. 2 Let p(x) = -x**3 - 29*x**2 - 76*x - 43. Let w be p(-25). Let f = w - -647. Solve f*m - 14 = h, 5*h + 16 + 9 = 5*m for m. 3 Suppose 0 = -12*c - 7 + 175. Let t be 24/c*(-7)/(-2). Solve -t - 2 = x - 4*n, n - 2 = 0 for x. 0 Let n = 1870 - 1868. Solve -l = -5*w - 14, 7 = -2*w + n*l - 5 for w. -2 Let r be (-1 - -2)/((-50)/(-250)). Solve -16 = 2*u - x - x, -u - r*x + 16 = 0 for u. -4 Let u(m) = -352*m + 2115. Let o be u(6). Solve -3*z = -8*z - 2*q + 11, -2*z - o*q + 11 = 0 for z. 1 Let f(i) = 5*i**2 + 179*i + 163. Let s be f(-35). Solve 5*p + n = -14, -2*n + 15 - s = 0 for p. -2 Let a be (-21)/(-8 - -1)*3. Suppose 4*h - 4*g + 2 = -a*g, 10 = h - 4*g. Solve 0 = -t + h*v, -5*t + 3*v + 0*v = 0 for t. 0 Let d be (-1)/((-3)/10) + (-4)/(-6). Suppose 4*l + v = 13, -d*l - 3*v + 23 = -0*v. Solve -2*y - o + 3 = 2, 4*y - 2*o = -l for y. 0 Suppose 10*o - 5*o = 2*i + 65, -39 = -3*o + i. Solve -2*s = -a - 14, 2*a - 5*s + 20 = -o for a. -4 Suppose 0 = -3*y - y + 20. Let z(p) = p**3 - 3*p**2 + 23*p - 9. Let k be z(4). Suppose k = 29*s + 4*s. Solve 15 = -t + y*o, 2*t + s*o - 31 = 7*t for t. -5 Let q be (21/28)/((-3)/36). Let t be 3/(q/3) + 22. Solve 0 = 5*p - 3*o - 7 - 15, -4*p - o + t = 0 for p. 5 Let m be (-1)/((37/152662)/((-1)/(-2))). Let d = m - -2063. Let b(c)
{ "pile_set_name": "DM Mathematics" }