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pile-dm_mathematics

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127. Let u(t) = -7 + 1 + 6 - v*t. Let f(w) = -w. Calculate u(f(b)). 18*b Let z(x) be the first derivative of 241*x**2/2 - 1715. Let m(h) = -2*h**2. Calculate z(m(c)). -482*c**2 Let i(j) = -3081881*j**2. Let v(l) = 44*l. Give i(v(w)). -5966521616*w**2 Let z(m) = 6*m. Let p(h) = 37299309*h**2. Calculate p(z(w)). 1342775124*w**2 Let z(a) = 24*a + 50. Let t(w) = -w**2 - 204*w - 401. Let h(m) = -2*t(m) - 17*z(m). Let s(f) = 26*f**2. What is s(h(d))? 104*d**4 - 4992*d**2 + 59904 Let f(h) = 236*h**2. Let b(q) = -41*q - 794. Give b(f(m)). -9676*m**2 - 794 Let c(p) = 3*p + 6. Let m(t) = -2*t - 5. Let h(a) = 5*c(a) + 6*m(a). Let w(o) = -o. Let x(d) = -16*d**2 - 2*d. Let b(g) = -10*w(g) + 5*x(g). Calculate h(b(k)). -240*k**2 Let y(u) = 6607899*u**2. Let b(k) = 2*k. Calculate y(b(n)). 26431596*n**2 Let q(a) = -52*a**2. Let g(c) = 3114204*c. Calculate q(g(d)). -504309860788032*d**2 Let j(r) be the second derivative of -14/3*r**3 + 5 + 0*r**2 - 10*r. Let i(m) = -3*m. What is j(i(c))? 84*c Let b(l) = 12*l. Let p(v) = 9*v - 10. Let y(q) = 53*q - 55. Let g(u) = -108*u + 110. Let w(i) = 4*g(i) + 9*y(i). Let j(a) = 11*p(a) - 2*w(a). What is j(b(s))? 108*s Let t(f) be the first derivative of 337*f**3 + 1256. Let h(p) = 2*p. Give h(t(b)). 2022*b**2 Let p(r) = 2*r. Let k(w) = w**2 + 8617*w + 65. Determine k(p(l)). 4*l**2 + 17234*l + 65 Let h(l) = 84*l**2 - 2. Let i(r) = -734821*r**2. Give h(i(c)). 45356799771444*c**4 - 2 Let m(q) = -2*q. Let l be (93/6)/(4*(-6)/(-48)). Let c = -9 + 25. Let a(n) = l - c + 5*n - 15. What is m(a(x))? -10*x Let o(k) be the first derivative of -61*k**2/2 + 1814. Let f(x) = 76*x**2 - 1. What is f(o(w))? 282796*w**2 - 1 Let w(n) be the first derivative of -n**3/3 - 61*n**2/2 + 2083. Let j(c) = 2*c**2. Determine j(w(h)). 2*h**4 + 244*h**3 + 7442*h**2 Let w(v) = 2*v. Let m(s) be the first derivative of 11094*s**2 - 2463. Give m(w(h)). 44376*h Let y(j) = -238801*j**2 - 17*j - 2. Let i(o) = 6*o. Calculate i(y(n)). -1432806*n**2 - 102*n - 12 Let i(v) = v**2. Let j(m) = -m**2. Let z(p) = 40*p**2 + 45*p. Let k(g) = -g**2 - g. Let u(b) = -90*k(b) - 2*z(b). Let y(t) = 36*j(t) + 4*u(t). What is y(i(w))? 4*w**4 Let o(h) = 3708495*h**2 - h. Let k(q) = 7*q**2. Give o(k(l)). 181716255*l**4 - 7*l**2 Let u(d) = -70*d. Let h(i) = -117379*i**2. What is h(u(n))? -575157100*n**2 Let b(t) = 2*t + 893. Let l(z) = 3*z**2 + 2609. Give b(l(c)). 6*c**2 + 6111 Let i(d) = 16*d. Let h(k) be the first derivative of -4*k**3 - 3*k + 756. What is i(h(y))? -192*y**2 - 48 Let f(r) = 17*r**2 + 5*r. Let i(a) = -4*a - 1882. Give i(f(v)). -68*v**2 - 20*v - 1882 Let h(s) = -2*s**2. Let p(b) = 1465*b**2 + 2995*b**2 - 372*b**2 + 331*b**2. Calculate h(p(y)). -39055122*y**4 Let d(x) = 3824*x + 16. Let m(z) = z - 22. Calculate d(m(f)). 3824*f - 84112 Let o(w) = -1584*w. Let x(k) = 21*k**2 - 7*k**2 - 12*k**2 - 1345 + 1345. Give x(o(u)). 5018112*u**2 Let m(q) be the first derivative of -q**3/3 - 57608. Let r(n) = 4*n - 61. Let h(g) = 3*g - 62. Let v(j) = -3*h(j) + 2*r(j). Give v(m(u)). u**2 + 64 Let g(m) = -5*m**2 + 65*m - 178. Let y be g(4). Let p(w) be the second derivative of -5/6*w**3 + 21*w + 0 + 0*w**y. Let i(f) = 3*f. Calculate p(i(b)). -15*b Let s(z) = 372*z. Let i(t) = -207 - 1840*t + 207 + 3677*t - 1832*t. Calculate s(i(h)). 1860*h Let u(n) = 4*n. Let w be (-16)/(14 + -6) - 6/(-3). Let j(m) be the third derivative of 0*m**4 + w*m**3 + 1/30*m**5 + 0*m + 5*m**2 + 0. Give j(u(q)). 32*q**2 Let u(n) = -716*n. Let z(q) = -8*q**2 - q**2 + 6*q**2 + 2*q**2 + 3*q**2. What is z(u(p))? 1025312*p**2 Let i(v) = 4*v. Let u = -1489 - -1491. Let d(r) be the third derivative of -15*r**u + 0*r + 1/8*r**4 + 0*r**3 + 0. Calculate i(d(l)). 12*l Let t(h) = -11*h. Let o be (-2)/10 + (-144)/(-45). Suppose -58 + 148 = o*i. Let z(s) = -59*s + 30*s + i*s. Give t(z(c)). -11*c Let h(y) be the third derivative of 33 + 1/12*y**4 + 1/2*y**5 + 0*y + 0*y**3 - y**2. Let b(p) = p. Determine h(b(o)). 30*o**2 + 2*o Let p(g) be the second derivative of g**6/180 - 19*g**4/12 + 59*g**3/2 + 190*g + 2. Let t(s) be the second derivative of p(s). Let v(x) = 2*x. What is t(v(n))? 8*n**2 - 38 Let t(h) = 6*h**2 - 26. Let s(g) = 61389 + 0*g**2 - 61389 - g**2. What is s(t(m))? -36*m**4 + 312*m**2 - 676 Let o(k) = 3*k**2. Let y(t) be the second derivative of 0*t**3 + 0 + 0*t**2 + 60*t + 7/12*t**4. Give o(y(j)). 147*j**4 Let r(f) = 11*f**2 - 2. Let o(l) = -517034*l. Calculate r(o(i)). 2940565728716*i**2 - 2 Let w(b) = 3*b - 4. Let c(q) be the third derivative of q**5/30 - 13*q**3/6 + 1880*q**2. What is c(w(i))? 18*i**2 - 48*i + 19 Let o(f) = -4846*f - 1. Let r(x) = 4076*x. What is r(o(z))? -19752296*z - 4076 Let i(h) = -39*h - 2. Let y(o) = -65*o + 31964 - 31964. What is y(i(r))? 2535*r + 130 Let s(r) = r**2. Let z(a) = 8 - 28*a - 4*a - 8*a - 3*a + 22. Let l(m) = -3397*m + 2365. Let w(b) = -6*l(b) + 473*z(b). What is w(s(g))? 43*g**2 Suppose 15 = -2*s + 5*t, -5*t = -22*s + 24*s - 35. Let n(v) = 13*v. Let g(c) = -19*c. Let m(q) = s*g(q) + 7*n(q). Let u(h) = 7*h**2 + 3*h. Give m(u(b)). -28*b**2 - 12*b Let y(r) be the second derivative of 8*r**3/3 - 4*r. Let x(z) = -9*z + 39*z - 18*z - 9*z. What is x(y(w))? 48*w Let n(f) = 2828*f**2 + 2825*f**2 - 5654*f**2. Let x(o) = -362*o + 1. What is n(x(v))? -131044*v**2 + 724*v - 1 Let f(y) = -1196*y. Let d(s) = -87*s**2 - 58*s. Determine f(d(q)). 104052*q**2 + 69368*q Let z(o) = -3 - 94*o + 3 + 42*o + 42*o. Let l(y) = 25*y**2 + 2*y. Give z(l(f)). -250*f**2 - 20*f Let p be (-241)/(-8) - 16/128. Suppose p*c - 12 = 26*c. Let q(m) = -c*m + 3 - 3 + m. Let k(l) = -15*l. What is q(k(n))? 30*n Let n(w) = -4*w**2. Let x(m) = 10288782*m. Calculate n(x(o)). -423436140174096*o**2 Let b(p) = 4*p. Let j(c) = -245*c**2 - 2*c + 214. Calculate b(j(h)). -980*h**2 - 8*h + 856 Let c(i) = -91*i + 3. Let q(v) be the third derivative of 15*v**4/2 - 5*v**3/6 - 22*v**2 + 3. Let s(w) = -10*c(w) - 6*q(w). Let u(z) = 2*z**2. What is s(u(k))? -340*k**2 Let j(o) = -13736*o**2. Let n(l) be the first derivative of -l**2 - 3953. Determine j(n(v)). -54944*v**2 Let d(w) = -956*w**2 + 141*w**2 - 518*w**2. Let j(u) = 2*u**2. Determine j(d(f)). 3553778*f**4 Let i(q) = -2*q. Let a(g) = 30*g + 33*g + 32*g - 123*g + 27*g. Suppose -6*b = -b - 25. Let d(y) = b*a(y) - 3*i(y). Let j(v) = 11*v. Determine d(j(n)). 11*n Let r(i) = -2*i. Let b be 7*(240/56 + -4). Let v(m) = 73*m**2 + 39*m**2 + 32*m**b - 2*m**2 + 25*m**2. What is r(v(f))? -334*f**2 Let j(t) = 9*t**2. Let q(w) = 42838986*w. Give j(q(m)). 16516608493573764*m**2 Let f(n) be the third derivative of -n**5/60 + n**2 - 211*n. Let j(p) = 51*p - 4. Give j(f(r)). -51*r**2 - 4 Let v(t) = 4*t**2 - 28*t + 28*t + 0*t**2. Let h be 8 - 1*(-3 + 0 - -6). Let g(j) = 8 - 13 + 5*j + h. Give g(v(i)). 20*i**2 Let v(h) = h**2. Let x(o) be the first derivative of 13*o**5/60 + o**2 + 42*o + 64. Let r(s) be the second derivative of x(s). Calculate v(r(a)). 169*a**4 Let l(q) be the second derivative of 23*q**4/12 + 96*q + 3. Let t(n) = 32*n. What is t(l(s))? 736*s**2 Let x(a) = -2*a. Let u(q) be the second derivative of q**4/3 - 2*q**2 + 57*q - 1. Let z(t) = -3*t**2 + 1 + 2 - t**2. Let v(b) = 3*u(b) + 4*z(b). Give x(v(f)). 8*f**2 Let w(b) = -8*b + 5. Let h(o) = -14*o + 10. Let q(n) = h(n) - 2*w(n). Let m(t) = 14*t**2 - 10*t. Calculate q(m(l)). 28*l**2 - 20*l Let v(i) = -2*i - 16. Let r be v(-11). Let n(d) = -10 - d - r + 16. Let c(h) = 65*h + 6. Let l(y) = -4*y - 1. Let s(a) = c(a) + 6*l(a). Give s(n(z)). -41*z Let u(i) be the first derivative of -223*i**2 + 1705. Let p(g) = -3*g. Give p(u(q)). 1338*q Let c(m) = 28 - 156*m**2 + 23 - 51. Let u(j) be the second derivative of -j**4/12 - 4*j - 37. Calculate c(u(v)). -156*v**4 Let h(o) = 2*o**2 + o**2 - o**2. Let s(n) be the second derivative of -7*n**3/3 - 77*n. What is h(s(u))? 392*u**2 Let h(r) = 12699*r. Let w(s) = 2*s**2 - 2594. Determine w(h(o)). 322529202*o**2 - 2594 Let y(v) = 6*v**2 - 11*v**2 + 8*v**2 - 2*v**2. Let q(a) = 3*a + 9. Let k(n) = 4*n + 2*n - 7*n - 1 + 0*n. Let i(g) = -36*k(g) - 4*q(g). Determine i(y(c)). 24*c**2 Let b(m) = 2*m**2 - 2*m**2 - 2*m**2. Let s(t) = -35*t**2 - 19*t + 96. Let y(l) = 11*l**2 + 6*l - 29. Let n(x) = -6*s(x) - 19*y(x). Give n(b(u)). 4*u**4 - 25 Let z(o) = -4225634*o**2. Let a(d) = 5*d**2. Calculate z(a(u))
{ "pile_set_name": "DM Mathematics" }
Let h(n) = -n + 1. Suppose -4*m - 22 = -s, -5*m = 2*s - 7*s + 35. Let q be (0 - (2 - s))/3. Let i be h(q). Solve u = b + i, 13 = 2*b + 3*u - 0*u for b. 2 Let w(x) = -28*x + 8. Let k be w(0). Solve k = -5*p - 3*y, 6*y + 2 = 2*p + 2*y for p. -1 Let d(i) = i**2 - 26*i + 36. Let t be d(25). Solve 0 = -j - 5*p + 4, -4*j + 5 + t = -3*p for j. 4 Let o be (-21)/(-6) + -3 + 153/34. Solve -3*g = -0*y - 2*y - o, -2*g - 3*y = -12 for g. 3 Let p(v) = -21*v - 201. Let u be p(-10). Solve 2*n = -m - 1, 7 = 3*n - 2*m - u for n. 2 Let z(t) = 2*t**3 + 5*t**2 - 1. Let d be z(-2). Solve 3*q + 2 = d*y + 4*q, -5*q = -3*y - 10 for y. 0 Let h(y) = y**3 + 6*y**2 - 5. Let l be h(-6). Let n be l/(1 + -4 + 2). Suppose n*j - 16 = j. Solve -20 = -j*i, 6*i - 2*i - 22 = 2*g for g. -1 Let m = -45 + 67. Suppose 13 + 11 = 4*s + 4*p, 0 = 4*s + 2*p - m. Solve -x - 4*z = -4, -28 = s*x + z - 5*z for x. -4 Let d(f) = 3*f**2 - 13*f - 7. Let l be d(5). Solve v = 2*o + 1, l*o + 6 + 2 = -5*v for o. -1 Suppose 0*g + g = 3. Let o = -27 + 37. Suppose 0 = o*y - 9*y. Solve k - 4 = -g*k, y = -3*r + 4*k - 10 for r. -2 Let u be -3*((-2)/7 - 110/105). Solve i + 2 = -r + 4, -2*i = u*r for r. -2 Let o(k) be the third derivative of -k**5/60 - 7*k**4/24 - 4*k**3/3 - 2*k**2 - 5*k. Let j be o(-4). Solve u - 4 = -5*n, 3*n = -5*u - j + 2 for n. 1 Suppose -2*t + 3*a - 216 = -47, 0 = -5*t - 2*a - 394. Let n = 84 + t. Solve n*l + 16 + 15 = 5*s, 0 = 3*s + l - 5 for s. 3 Let j = -19 - -43. Let a = -28 + j. Let c(f) = -f - 2. Let x be c(a). Solve x*v + 22 = 5*q + 3, -4*v - 8 = -4*q for q. 5 Let u(c) = -c**2 - 7*c + 4. Suppose 0 = -3*i - 10 - 11. Let s be u(i). Suppose s*j = 7*j - 9. Solve -40 = 5*n - 4*m, 0 = n + 2*n + j*m - 3 for n. -4 Let h = 0 + -9. Let g = h - -14. Solve -g*q + 4*j - 17 - 8 = 0, -2*q - 3*j = 10 for q. -5 Let w(i) = 2*i**2 + 2*i. Let j be w(0). Suppose -y + 0*y = j. Solve 11 = n + 3*f, 4*f - 15 + y = -n for n. -1 Let c be (315/20 + -15)/(6/16). Solve -5*k + 20 = 0, -5*r + 8*r + c*k - 2 = 0 for r. -2 Let z(u) = u**3 + 6*u**2 - u - 4. Suppose 3*d = 5*h - 3, 4*d - 2*h = 4 - 22. Let g be z(d). Solve g*r + 2*p + 3 = 9, -5*p - 6 = -2*r for r. 3 Suppose 0 = -5*d - v + 19, 3*v = -2*d - 2*d + 13. Suppose 5*s + m - 15 = 0, -d*s = -2*m + 5*m - 23. Solve 2*t + 5 = o + 2, s*o - 3 = t for t. -1 Let p(m) = m**3 - 9*m**2 + 10*m - 12. Let v be p(8). Solve -s - 5 = v*g, -2*g = -5*s + 2*g - 25 for s. -5 Let i(d) = -d**2 + 9*d + 10. Let s be i(10). Suppose 0 = 8*m - 3*m - 25. Suppose s = m*b - b - 12. Solve -2*j - 3*f = 0, -4*j + b*j = 3*f for j. 0 Let j be 5 + 0 + (-12)/4. Solve 5*p + 22 = 3*l, -j*l - 1 - 1 = 5*p for l. 4 Suppose 46*q + 24 = 52*q. Solve 24 = q*k - 3*w, 2*k - 11 = k + 2*w for k. 3 Let y be ((-6)/4 - 54/12)/(-3). Solve -3*c + 16 = -0*c - 4*n, y*c + 2*n - 6 = 0 for c. 4 Let y = -874 - -877. Solve -3 = -2*f + 4*h - 9, -y*h = -9 for f. 3 Let p be 1/(-2) - (-30)/4. Suppose 0 = -p*b + 2*b + 100. Suppose 4*s = -s + b. Solve 2*n = -3*h - 19, -22 = 5*n + 3*h - s*h for n. -5 Let m = -879 - -881. Solve 2 = -m*s, -4*s = u - 3*s + 2 for u. -1 Let w = -3 - -5. Suppose c - 49 = 2*u + w*u, 6 = -3*u. Let s = -29 + c. Solve -2*q = -5*x + x + s, x - 5*q - 3 = 0 for x. 3 Let q = -24 + 29. Suppose -6*p + p + 15 = 0. Solve -p*f - 22 = q*x - 6*f, 5*x = -5*f - 30 for x. -5 Suppose -3*g - 57 = -5*c, -4 = -3*g - 16. Let q(m) = m**2 + 6*m + 3. Let o be q(-7). Suppose o = 4*u - 2. Solve u*n - 4*w + c = -w, 4*w - 4 = 2*n for n. -4 Suppose 6*b + 85 = 23*b. Solve -b*d - 2*t = -2 - 0, -2*t + 2 = 3*d for d. 0 Let b be -2*(95/(-10) + 7 + 0). Solve b*s = -0*f - 4*f, 0 = -2*s - 5*f for s. 0 Suppose 2*r = -5*p - r + 56, -r - 18 = -2*p. Let n = -8 + p. Solve 4*v = 2*v - 3*z + 8, 10 = -v + n*z for v. -2 Suppose -j - 3*f = -22 + 8, -5*j + 2*f = -36. Let a = -6 + j. Solve 4*y - 20 = -x, 0*x = a*x + 3*y - 20 for x. 4 Suppose 0 = -2*y - 4*l + 6, 0 = y + 7*l - 3*l + 5. Solve 22 = 2*n + 5*t, -n + 3*t = y - 0 for n. 1 Let g = -49 + 50. Let o be ((-16)/(-40))/(g/5). Solve 4*m - 13 = 5*h - 0, -o*h + 5 = -5*m for m. -3 Let v be 1 + 1 - (3 + -6). Suppose 0 = -2*r + 5*p, 2*p = 2*r - 70 + 64. Solve 0 = -v*m + 4*o - r, -4*m - 4*o - 4 = -0*m for m. -1 Let z(s) = -s - 20. Let b be z(-17). Let d be (1 + b)*(3 + -8). Solve 5*h - j = -10, 4*j - 15 - d = 5*h for h. -1 Suppose 3*f + 38 + 40 = 0. Let v = 21 + f. Let k(z) = -z**2 - 8*z - 15. Let y be k(v). Solve y = 2*l + q + 7, 0 = 5*l + 5*q + 18 - 3 for l. -4 Suppose 6*n - 5*p = 3*n - 99, 0 = 5*p + 15. Let u = n - -52. Let s be 16/28 - (-482)/u. Solve 3*x + 4*k - 1 = 4, s = -2*x + 5*k for x. -5 Let m = 1 - -4. Let z = -9 - -24. Let f(a) = -a**3 - a**2 - a + 2. Let c be f(0). Solve m*b = -z, 2*b = 5*u - c*b - 27 for u. 3 Suppose -4*v + 19*m + 28 = 15*m, 5*v - 3*m - 31 = 0. Solve 6 = v*l - 4*x - 2, -10 = 5*x for l. 0 Let o = 5 + -1. Solve -21 = 3*d + 3*x, d - 3 = o*d - 3*x for d. -4 Let u be 2/6 - (139/3 + -2). Let x be (1 + u/8)*(-4)/6. Solve 3 = 3*t + 3*w, x*t + t - 10 = -w for t. 3 Suppose 12 = 2*f - 3*c, -37*f = -42*f - c + 13. Solve 0*w = -5*w + 3*u - 40, f*w = -5*u + 10 for w. -5 Let l be 384/66 - 2/(-11). Let m = 6 + l. Solve -6 = -3*b, 2*h - 4*b = -6*b + m for h. 4 Suppose 77 = 5*o - 43. Let m be (18/(-5) + 2)*(-60)/o. Solve 2*x = 2*a + m, x - 1 = 5*a + 1 for a. 0 Suppose o - s = -0*o + 6, 2*s = 4*o - 18. Suppose -4*a - 5*p = -19, o*a = -4*p + 2*p + 9. Solve -5*l + 4*u = -1 - a, 3*l - 8 = -u for l. 2 Suppose 3*v - 5*v + 6 = 0. Suppose -3*f - 2 = 2*u, v*u + u - 5*f = 18. Solve 0*x - u*x = 3*c - 1, 0 = -2*c - 6 for x. 5 Let k(c) = 2*c**2 - 84. Let v be k(7). Let t = -5 - -8. Solve -t*b - 12 = b - 4*j, -2*j = 2*b + v for b. -5 Let c(y) = -19*y + 551. Let h be c(29). Solve 5*s = -h*s + 5, 2*s - 2 = -3*a for a. 0 Let p be (1*123/(-3))/1. Let b = p - -43. Let r = -3 - -5. Solve -4*z + 2*l - 24 = -l, b*z - r*l = -14 for z. -3 Let g be (1332/555)/(3/5). Solve -3*v + 2*d = -g*v, -4*d + 10 = -3*v for v. -2 Let m = -1109 - -1113. Solve 2*k + m*t = 5*t, -3*k - 4*t + 11 = 0 for k. 1 Suppose 2*g - 4*x + 44 - 12 = 0, 5*g - 2*x + 64 = 0. Let c be ((-6)/(-12))/(1/g). Let t = c + 8. Solve t*a = a + 3*o, 0 = -5*a + 5*o for a. 0 Let x(m) = 21*m - 374. Let n be x(18). Solve n = -2*i + 6*i - 4*q, 3 = -5*i - 3*q for i. 0 Let o be -3 - -1 - 16/(-4). Solve -3*v + d = 15, v = 4*v + o*d + 15 for v. -5 Suppose 0 = 29*k + 4 - 91. Suppose 55 = 17*c + 4. Let l(r) = r**2 - 4*r. Let w be l(5). Solve 5*d + c = t + w, -12 = -5*t + k*d for t. 3 Let h = -7 - -27. Suppose -u + 4*g + 9 = 7*g, -3*g - 18 = -2*u. Solve 3*c + x = 2*c - u, h = -4*x for c. -4 Let l = 72 + -70. Suppose 5*n - 7 = -4*a, l*a - 2*n - 11 = -a. Solve -24 = 5*h + a*j, 3*h - 4*j = -1 + 4 for h. -3 Let n be (-8)/(1/((-6)/(-3))). Let z = n - -19. Solve -5*f + 2*d + z = 0, 2 = 4*f + 2*d - 4 for f. 1 Suppose 3*f + 4 = 2*f, 4*x + f + 144 = 0. Let c = x - -39. Solve 4*i + 4*q - 16 = -0*q, -8 = -2*i - c*q for i. 4 Let p be ((-8)/(-12))/(2/12). Suppose p*x + 37 = 3*y + 2*y, -y = 5*x + 10. Solve -y*i + i + 26 = 2*f, 1 = 2*i - 3*f for i. 5 Suppose 11 = -5*z + 4*t, 5*t - 14 = 3*z + 3. Solve 0 = 2*f, z = -5*w + 2*f - 9 for w. -2 Let p = 192 + -170. Solve -3*c = 2*t + 7, 5*c = -2*t - p + 5 for c. -5 Let u = -11 + -15. Let x = u - -33. Solve -3*a = -q, 3*a + q - x = -a for a. 1 Suppose -5*g + 11*s + 8 = 8*s, -3*s = -3*g. Solve -8 = 4*w + g*m, w = -3*m + 6*m + 6 for w. 0 Let a be (-14)/(-3)*(-18)/(-7). Let v(m) = -m**2 + 12*m + 5. Suppose -4*l = l - 60. Let r be v(l). Solve -3*z - a = -r*t + z, -2 = -z for t. 4 Let p be (-60)/(-1 - -6)*1/2. Let q be (3/p)/(6/(-12)). Solve 13 - q = -4*k - d, d + 4 = 0 for k. -2 Suppose -3*n + 4*f = -108, f + 72 = 2*n - 2*f. Let j = 36 - n. Solve -2*z - h = -2*h - 7, j = -2*z - h - 3 for z. 1 Let n be 3*(-11)/(-2)*2. Suppose 0 = -5*j - 4*b + 67, -1 = 2*j - b - n. Solve 5*x = 0, 4*t - 5*x = -3 + j for t. 3 Let u = -880 - -892. Solve 6 = 3*z + b, -5*z - 2 = 4*b - u for z. 2 Let h = 19 - 16. Suppose 11 - 2 = h*t. Solve -7 = 5*z - 3*d, d = -t*z - 4*d + 23 for z. 1 Let q(m) = 2*m - 12. Let o be q(9). Suppose -5*g = 5*h - o - 4, 0 = 5*g - h - 16. Solve j + 19 = -5*p, 3*p - g + 20 = 5*j for j. 1 Suppose -17 + 16 = t. Let h = t - -6. Suppose -u = h*u. Solve u = -7*w + 4*w + 4*c - 31, 5*c - 25 = w for w. -5 Let m(o) = -12*o**3 + 3*o + 24*o**3 + 4 - 13*o
{ "pile_set_name": "DM Mathematics" }
). Solve -33 + f = 9*s for s. 8 Suppose -y + 5 = 3*w, -5*y + 4*w + w = -105. Suppose -3*u = q - 6*q + 11, 3*u + 2*q = y. Let b be u/(-2)*(-160)/48. Solve 0 = z - 0 + b for z. -5 Suppose 4*q - 214 + 10 = 0. Let g = 55 - q. Solve g*v = 3*v for v. 0 Suppose -8*f + 4*f + 184 = 0. Let d = f + -45. Suppose -2*l = -5 + d. Solve -l = c - 0*c for c. -2 Let n(i) = -3*i - 50. Let c be n(15). Let j = -89 - c. Suppose 2*r = -2*a + 14, a + 2*a = 2*r + 11. Solve r*m = -m - j for m. -2 Suppose -13*g - 4067 - 1783 = -28*g. Solve -394 = r - g for r. -4 Let j = -106 + 110. Suppose 4*s - j = 3*s. Suppose -3*r = -7*u + 10*u - 30, -s*u - r + 31 = 0. Solve -3 = 4*n - u*n for n. 1 Suppose 0 = 434*c - 160*c + 10989 - 32909. Solve -c*u = -67*u + 13 for u. -1 Let l(w) = -w**3 - 4*w**2 - w - 4. Let i be l(-4). Let b be i/((-3)/1 - -2). Suppose 4*h - 8 + b = 0. Solve c - h = -c for c. 1 Suppose -4*y + 12 = -4*x, 10*x - 5*x = -2*y + 6. Suppose 27*d - 17*d - 10 = x. Solve -2*c + d = 5 for c. -2 Let o(j) = j**3 - 15*j**2 + 162*j - 2063. Let g be o(14). Solve g*s - 84 = -5*s for s. 6 Let c be 147/(-14)*69/(-14)*4. Suppose -p - 5*j + c = -5*p, -4*j = -4*p - 208. Let s = 55 + p. Solve s*h - 4*h = 2 for h. -1 Suppose 7*z = 8*z - 2*l - 127, -2*z = -l - 251. Let h = z + -117. Solve 4*k + h = -0*k for k. -2 Let k = -291 - -295. Suppose -b - 13 = -k*s, -20*b + 25*b + 11 = 2*s. Solve -s*c + 5 = -1 for c. 2 Let g = 134 + -49. Suppose g*h = 84*h + 5. Suppose 21 = -h*p + 21. Solve 6*u - 3*u = p for u. 0 Suppose t + 12*l = 15*l + 4, -t = 2*l - 4. Let k be (-3)/((-18)/48) + 4. Let a(u) = u**2 + 5*u + 6. Let x be a(-4). Solve x*b - t = -k for b. -4 Let o be 3*((-10)/(-5)*8 - 11). Solve 45*d - 42*d = o for d. 5 Let y = 23707 - 23707. Solve y = -75*d + 94*d + 76 for d. -4 Let f = -15233 - -15270. Solve f*j + 408 = -65*j for j. -4 Let q be 80800/(-136) - 4/(-34). Let b = -591 - q. Solve a + 5 = b for a. -2 Let z be ((-3)/9)/(40/(-12) + 3). Let o = z + -1. Suppose 4*t = -o*t. Solve -4*b + 0*b = t for b. 0 Suppose -4*u = -91 - 45. Suppose -2*o = -2*k - 62, -o = -2*k - u - 1. Suppose 21 = 30*t - o*t. Solve 0 = 4*l + 3 - t for l. 1 Let a be 0 + 7 + -1*17/68*-12. Solve 14*o + 20 = a*o for o. -5 Let k = -5607 + 5769. Solve -k*r + 152*r = 40 for r. -4 Suppose 287*x - 324*x + 851 = 0. Solve 4 = 24*b - x*b for b. 4 Let d(x) = -129*x + 2524. Let z be d(19). Solve 0 = -z*b + 50*b - 23 for b. -1 Suppose b + 0*b + 1 = 0, 5*b = z - 5. Solve 33*p - 13 + 46 = z for p. -1 Let l(s) be the second derivative of -s**5/20 + 5*s**4/6 + 3*s**2 + 14*s. Let k be 360/54*(-3)/(-2). Let n be l(k). Solve 2*f - n*f = 12 for f. -3 Suppose -45*n + 41*n = 8. Let b be (8/6)/(n + (-780)/(-387)). Let f = -81 + b. Solve -f = -5*s - 0 for s. 1 Let j be (492/(-20))/(-1) - (-2)/5. Let m = j - -26. Let n = 58 - m. Solve 2*f - 5 = n*f for f. -1 Let x be (4/1)/(2/3). Let q(v) = -2085*v - 210583. Let m be q(-101). Solve m - 14 = x*j for j. -2 Suppose 0 = -3*i, -i = -3*w - 3*i + 153. Solve -6*k + w = 21 for k. 5 Suppose 12 - 44 = -4*x. Suppose 298*m - 300*m = -x. Solve -2 = -6*g + m for g. 1 Suppose l + c = 5*c + 2, -l + 9 = 3*c. Let a be -11 + -32 + -21 + 79. Solve -15 - a = -l*y for y. 5 Let o be ((-30)/(-30))/(1*(-2)/(-26)). Suppose -o*l + 57 = -12*l. Suppose 43 = 5*p - l. Solve -5*d = -0*d + p for d. -4 Let i(a) = -a**2 + 147*a - 5122. Let b be i(58). Solve b*d = 36*d + 4 for d. 1 Suppose 1051*u - 1055*u = -16. Suppose 22*s - 19*s - u*f = 42, 0 = 3*s + 3*f - 42. Solve -9*w - 20 = -s*w for w. 4 Suppose 3*x - 36*x = -1221. Suppose -5*j + x = 2*u, 5*u - 7 = 4*j + 3. Solve u*t + 4 = 5*t for t. -4 Let z = -6176 + 6234. Solve -z*d + 54*d = 24 for d. -6 Let x = -1094 - -1129. Let y be 1/2 - 65/2. Let z = y + x. Solve b + z*b - 4 = 0 for b. 1 Let a be (-22)/((-7128)/4068) + 8/18. Solve -13*w - 65 = a for w. -6 Let r(g) be the second derivative of -g**4/12 + 2*g**3/3 - 3*g**2/2 + 2*g. Let y be r(3). Suppose 1107*s = 8904 + 4380. Solve y = 2*d - 5*d + s for d. 4 Let o = -252 + 256. Let k = 19 - 19. Solve -4 = -k*u - o*u for u. 1 Let c(j) = j - 32. Let o be c(12). Let t be -1 - o/24 - 39/(-18). Suppose -t*s = -s - 3. Solve 0*h = -s*h + 12 for h. 4 Suppose 21*a - 75 = 20*a + 8*q, 5*a = 5*q + 305. Solve -a = -21*b + 4 for b. 3 Let m = 238 + -220. Suppose 561*d - m = 552*d. Solve -d = -y + 2*y for y. -2 Suppose -4 = -17*p + 19*p. Let g be 1316/196 - p/7. Solve g*d = 5*d for d. 0 Suppose 120*b = 114*b + 168. Suppose -5*u + b = -2*z, 3*u - 2*z - 33 = -13. Solve -u*v + 2 = -2 for v. 1 Let b(h) = h**3 - 53*h**2 + 51*h + 133. Let i be b(52). Solve 6*x - i = -57 for x. 4 Let d = -6916 + 6927. Solve 19 = -15*l - d for l. -2 Let s(m) = m**2 + 4*m - 62. Let n be s(-10). Let t be -5 - (-10)/(0/4 - n). Solve t = 7*i - 3 - 4 for i. 1 Let c(n) = 43*n - 143. Let p be c(5). Solve 10*z + p = -8*z for z. -4 Let d be (6/(-4) + 8)/((-2)/4 - -1). Solve -d*x + 165 = 126 for x. 3 Suppose 4*u - 72 = 13*r - 15*r, 0 = 5*r + 4*u - 192. Solve -r + 30 = -5*w for w. 2 Suppose -3*z + 6 = -3. Let v be (0 - -140) + ((-56)/(-7))/4. Let w = 152 - v. Solve -d + w = -z*d for d. -5 Suppose 3*a + 15 = 6*u - 2*u, -5*u + 11 = 4*a. Let q be -1*(1 + (-5 - (-9)/u)). Let k be 0 - (q/(1/(-1)) + -7). Solve 4*g - k = 2*g for g. 4 Suppose -10*j + 5*j = -750. Let i = j + -148. Solve i*f - 7*f = 5 for f. -1 Suppose -5*h - 90 = h. Let b be h/(-20) + 25/20. Solve b*u = 7*u for u. 0 Let u = -148 - -153. Suppose -u*n = 4*x - 125, 4*n + 57 = 3*x + 2. Solve 0 = -28*h + 23*h + x for h. 5 Suppose 929*x = 467*x + 516*x - 4374. Solve 0 = 10*k + 91 - x for k. -1 Let x be 605/85 - (-22)/(-187). Let c(r) = r**2 + r - 48. Let d be c(x). Solve 28 = -d*o - 12 for o. -5 Let w(n) = 2*n**2 - 77*n + 491. Let u be w(8). Solve -3*z = u*z - 0*z for z. 0 Let i be -609 + 612 - 3/((-6)/4690). Solve 4 = 2352*a - i*a for a. 1 Let o(g) = -7*g**2 - 10*g - 77. Let d be o(-5). Let t = 205 + d. Solve v = -t*v + 20 for v. 5 Let p = 71 + -71. Suppose 5*y - 2*y = 0. Suppose -3*v = -4*b + 4, y*v - 2*v = b - 12. Solve p = -0*l + v*l + 20 for l. -5 Let s = 8437 - 8328. Solve -118*t + 54 = -s*t for t. 6 Let z be (-54)/18*(-3 - (-1 - 1)). Let k be (-6)/(-4) + 299/(-26). Let p(n) = n**3 + 10*n**2 - 3*n - 23. Let w be p(k). Solve z*f = w*f for f. 0 Let f be -4*(-1 + 0 - (8 + -10)). Let u be (-1)/(-5)*-5 - (f + -1). Solve 0 = r - u*r + 3 for r. 1 Let k(w) = w**3 + 5*w**2 - 5*w - 32. Let x be k(-4). Suppose 3*h + h - r - x = 0, 3*r + 12 = 5*h. Solve 4 = 4*s - h for s. 1 Let q(f) = f**3 - 8*f**2 + 7*f + 10. Let r be q(8). Let g be r/12 - (-27)/18. Solve -3*n + g*n = -8 for n. -2 Suppose -5*u + 55 = -8*m + 3*m, 2*u - 37 = 5*m. Solve u*z - 478 + 490 = 0 for z. -2 Let f(g) = 112*g + 2243. Let l be f(-19). Solve -l*u = 63 + 52 for u. -1 Suppose 4*k + 2 - 41 = -5*l, 5*k = -5*l + 40. Suppose 0 = -l*m - 2*m + 18. Solve -6*a + 16 = -m*a for a. 4 Suppose -73*h + 2002 = -138*h + 78*h. Solve -267*u = -245*u + h for u. -7 Let q be (-4 + 39/6)/(2/4). Suppose q*a - 309 = 186. Let l be 50/18 + 22/a. Solve 4*i - 1 = l for i. 1 Let n(a) be the first derivative of -2*a**3 + 5*a**2 + 1/4*a**4 - 5*a + 13. Let h be n(4). Solve h*r = 5*r for r. 0 Suppose -4*n - 2*w + 4 = 0, 0*w - 3*w - 24 = -4*n. Let q(d) = d**2 - d - 4. Let f be q(n). Suppose -32*x + 41 = -23. Solve -f*u = -4 - x for u. 3 Let z = -2041 - -2047. Solve 130 = z*w + 136 for w. -1 Let p = -2213 + 2220. Let x(b) = -b**3 + 8*b**2 + 9*b + 16. Let k be x(9). Solve -k = 3*o - p*o for o. 4 Let f(y) = 3*y**3 + 119*y**2 + 81*y + 122. Let w be f(-39). Solve -3*o + w = -7 for o. 4 Let q(k) = 3*k**2 - 43*k + 56. Let w be q(14). Let c(p) = p**2 - 6*p + 4. Let g be c(6). Suppose 46 = g*z + w. Solve -z + 5 = 4*m for m. 1 Let y be (-5 + ((-30)/3)/(-2))*1. Suppose -v + 3 = -y. Solve 1 - v = -i for i. 2 Let b(u) = -3*u**2 + 27*u - 3. Let a be b(8). Solve a = 8*f + 13 for f. 1 Suppose 170283 = 174*o - 600537. Solve 3*h - 4403 + o = 0 for h. -9 Let o = 7442 + -7430. Solve -10*v + o = 12 for v. 0 Suppose -2*u + 12 = 4*u. Let s be (7/21)/(u/36). Suppose 0 = 6*m - m, -2*i - 4*m + 4 = 0. Solve -s - i = 4*d for d. -2 Let u = 4366 - 4303. Solve 2*g + u = 73 for g. 5 Suppose 0 = 5*f + d, -15*d = f - 18*d. Solve f = -21*s + 5 + 16 for s. 1 Let i(a) = 6*a**2 - 2*a + 51. Let s be i(7). Let c = s + -320. Solve c*h - 11 = 44
{ "pile_set_name": "DM Mathematics" }
What is the second smallest value in 4.385, -9, -3/10? -3/10 Which is the second smallest value? (a) -11543 (b) -8 (c) 123/4 b Which is the fifth smallest value? (a) 10/7 (b) -2/7 (c) 15 (d) 0.2 (e) -31634 c Which is the second biggest value? (a) -1 (b) -0.17 (c) -0.049 (d) -2508 (e) -4 b Which is the fourth smallest value? (a) 1 (b) -356 (c) -0.387 (d) -1/14 (e) -3 d Which is the third smallest value? (a) 0.7 (b) 36 (c) 7330 c Which is the fifth smallest value? (a) 106 (b) 0.5 (c) 266 (d) -1/10 (e) 3 (f) -0.5 a Which is the fifth smallest value? (a) -0.5 (b) 17 (c) -0.009 (d) 20 (e) 3 (f) 0.3 (g) 5 g Which is the third smallest value? (a) -16 (b) 0.3 (c) -1916.51 b Which is the second smallest value? (a) -16048 (b) -37 (c) -0.4 b Which is the second biggest value? (a) 46 (b) 461 (c) 498 b Which is the third smallest value? (a) 2/5 (b) -1/7 (c) 1/15 (d) 1 (e) -0.074 (f) -0.02 (g) -2/9 e What is the second biggest value in 2/3, -0.2, -4, -1, 4795.5? 2/3 Which is the sixth smallest value? (a) -4467 (b) -1 (c) 15 (d) -3/4 (e) 0 (f) -5.4 c Which is the sixth biggest value? (a) 4 (b) -1 (c) 1228 (d) 5 (e) -2 (f) -0.5 (g) -768 e Which is the fourth biggest value? (a) 13817 (b) 2/3 (c) 0 (d) 5 (e) 3 b What is the smallest value in -1/3, -0.1, 159135, 0.22, -4, 0.2? -4 Which is the second smallest value? (a) -7364 (b) 2/7 (c) 3445 b Which is the biggest value? (a) 346895 (b) 0 (c) 21 a What is the fourth smallest value in 0.5, 0.2, -224, 0.1, 0.187, 4? 0.2 What is the second biggest value in -4, 1, -24236/41? -4 What is the fourth biggest value in 5/2, -116/9, -5, -41? -41 Which is the smallest value? (a) 172 (b) -35 (c) 2/11 (d) 0.01 (e) -1 (f) 5 (g) 7 b Which is the fourth smallest value? (a) -8/5 (b) 4 (c) 0 (d) -0.1 (e) 6/91 e What is the sixth smallest value in -0.5, -69, 4/5, -2/11, 2/7, 3, 4? 3 Which is the second smallest value? (a) -9 (b) 5/4 (c) 0.66 (d) 0.2 (e) -3 (f) 0.4 e Which is the fourth biggest value? (a) -55 (b) 0 (c) -0.7 (d) 1.4603 a What is the second smallest value in 79, 1/8, 3, 1137? 3 What is the second smallest value in 0.5, -34, 8, 14/53? 14/53 Which is the second biggest value? (a) 29 (b) 0.5 (c) 4 (d) -1/3 (e) -2/3 (f) -108 c Which is the third smallest value? (a) -379541 (b) 0.06 (c) -0.1 (d) -0.4 (e) -5 (f) 1/7 d What is the fifth biggest value in 369, -2.16, 2/15, 0.4, -2/19? -2.16 Which is the biggest value? (a) -38/15 (b) 4 (c) -2/11 (d) 5 (e) -5 (f) -0.045 (g) -0.1 d What is the third biggest value in 1, 31, 4/25, -0.1, 0, 15/16, -0.3? 15/16 What is the smallest value in 2/3, 3, -48/360209? -48/360209 What is the sixth smallest value in -5, 7, 4, -0.238, -2, 8? 8 What is the smallest value in 132499, -4/5, 2, 7? -4/5 Which is the smallest value? (a) 823 (b) 0.3 (c) 1 (d) -409 d Which is the seventh biggest value? (a) -0.3 (b) 185 (c) 5 (d) -5/3 (e) -1 (f) -1.5 (g) 356 d What is the smallest value in -0.1, -1245, 5, -767, -1? -1245 What is the biggest value in -112, 14501, -7/4? 14501 What is the second smallest value in 2, 4, -100, 2/11, 8, 5, 2/53? 2/53 What is the smallest value in 1/12, -3/2, 1/318, -0.1? -3/2 Which is the fifth biggest value? (a) 14/9 (b) 14 (c) 0.5 (d) -5 (e) 0.0512 d What is the sixth smallest value in 1, -3, -4, 1/8, -5, -10048? 1 Which is the seventh smallest value? (a) -2/13 (b) 1 (c) 3 (d) -4/5 (e) 155 (f) -38 (g) -5 e What is the fifth biggest value in 648, 2, -1, 8, -8? -8 Which is the second smallest value? (a) -0.15 (b) -0.08 (c) -4/7 (d) 18/109 a Which is the second biggest value? (a) -0.2 (b) 1/4 (c) 4 (d) -0.11 (e) 100087 c Which is the third biggest value? (a) -15 (b) -4 (c) -31841 c What is the second biggest value in 19, 858, -1029? 19 What is the fifth smallest value in -0.3, 1/5, 92, -19.68, 1, -2? 1 What is the fourth smallest value in -25, -1, 2/11, -18/5, -265? -1 Which is the smallest value? (a) 1/5 (b) -4 (c) -2/3 (d) -5 (e) 199/4 (f) 3/4 (g) -2 d Which is the second smallest value? (a) -11 (b) -1/599 (c) 2 (d) 0.5 (e) -2/5 (f) -1 f What is the biggest value in -449, -2/23807, 0.3? 0.3 What is the smallest value in -2/15, 0.1, 0.957845, 0.5? -2/15 What is the third smallest value in 94, -39, 31/6, -19? 31/6 What is the fourth smallest value in -57.7, -1/5, 2, 6, -1/6, -18? -1/6 Which is the third smallest value? (a) -0.1 (b) -5599 (c) -6/23 (d) 0.8 a Which is the fourth smallest value? (a) 45/2 (b) 0.2 (c) -0.052 (d) -1/19 (e) 4 e Which is the fifth biggest value? (a) 7/18 (b) 1 (c) 4 (d) -0.1 (e) -2 (f) 54/55 d What is the third biggest value in -5, 17, 1, 13593, -1.7? 1 Which is the second biggest value? (a) 0.1 (b) 47/3 (c) 190843 b What is the sixth biggest value in 6, -0.1, -0.5, 355/2, -11, 58, 2? -0.5 Which is the sixth smallest value? (a) -3/5 (b) 2 (c) 1/6 (d) 32 (e) 3 (f) -0.483 d Which is the biggest value? (a) -1.32 (b) 2/3 (c) 0.4 (d) -117 b What is the second biggest value in 426, 0, -782? 0 Which is the biggest value? (a) 76 (b) 2/27 (c) 231 c What is the sixth smallest value in 1.11, -2, 2/7, -1, -5, 0.9? 1.11 What is the third biggest value in -24.2, -638.1, 3? -638.1 What is the fourth biggest value in 7, 4, -9, 36925.7? -9 What is the second biggest value in -3, -0.5, 3, 0.1, 0.5, -1.127099? 0.5 Which is the fifth biggest value? (a) -0.1 (b) 4651 (c) 1320/13 (d) -1 (e) 0.1 d What is the third smallest value in -25, -2595, 0.2? 0.2 What is the third biggest value in -14066, 2/9, -1/4, 4? -1/4 What is the smallest value in 566, 0.1, -1.452, -2.5? -2.5 What is the third smallest value in -7, 0, -321670? 0 What is the biggest value in -0.0033, -0.1, -2/3, 5, 1/6, -3? 5 What is the biggest value in -0.4, 2.7, 1/40026, -4/9, -5? 2.7 What is the second smallest value in 4, 310.3, -4, 0.5, 43? 0.5 Which is the second smallest value? (a) 3 (b) 4 (c) 1/2 (d) 299/6 (e) 0 (f) 0.3872 (g) -1 e Which is the third smallest value? (a) -0.3 (b) -1/14 (c) 2/7 (d) -12 (e) -1/9 (f) 6 (g) 0.4 e Which is the biggest value? (a) 466 (b) -6.5 (c) -18 a Which is the second smallest value? (a) -2 (b) -4 (c) -44/3 (d) 223805 b What is the fifth biggest value in 3, -0.84, 4, -0.29, 0.181? -0.84 Which is the third biggest value? (a) -0.4 (b) 452 (c) -1/20 (d) 1 (e) -2/3 c Which is the smallest value? (a) -3 (b) 83 (c) 5 (d) -568/9 (e) -5 (f) 18/7 d What is the second biggest value in -0.2, 1, -0.4, 0.021, -5, 859? 1 Which is the fourth smallest value? (a) -4/11 (b) -1 (c) 1/4 (d) 0 (e) -0.12 (f) 877 d Which is the biggest value? (a) -1/2 (b) -33 (c) 2/7 (d) -15 (e) 12 (f) -1 e What is the second smallest value in -2, 1/394, -7/3, -2741? -7/3 What is the sixth smallest value in 5, 2, 1, -3, 82, -5392? 82 Which is the biggest value? (a) 301157 (b) -0.07 (c) -34 a What is the third biggest value in 0, 0.4, 17510, 7, -5/6? 0.4 What is the second biggest value in 11/4, 1, 0.404, -30? 1 What is the third smallest value in -749, 108/7, 2/5, 1/6? 2/5 Which is the second biggest value? (a) -1/7 (b) 7/2 (c) -0.07 (d) 269 b Which is the smallest value? (a) 1.3 (b) 4/3 (c) -53/352 (d) 1 c What is the third biggest value in 20/11, 7468, -29/5? -29/5 Which is the fourth biggest value? (a) -5/4 (b) -0.4 (c) 2 (d) 0.5 (e) 5 (f) -756 (g) -105 b What is the biggest value in -22, -169.52, 0.05? 0.05 What is the fourth smallest value in 1/4, -2/3, 7, -4/63, -362, 2/3, -0.3? -4/63 Which is the second biggest value? (a) 2486 (b) -2/3 (c) -0.268 c What is the fourth biggest value in -6829, -0.3, -4, 1, -9, 10? -4 What is the fourth smallest value in 12020, -2/3, -0.1, 19, 3/5? 19 Which is the fourth biggest value? (a) 329 (b) -2/5 (c) -5/3 (d) 163 (e) -2 c Which is the smallest value? (a) -2 (b) -5466 (c) 2/25 (d) -4 b What is the fourth biggest value in -3/5, 2, 3, -425? -425 Which is the sixth smallest value? (a) -1 (b) 5 (c) -20220.5 (d) 3/7 (e) -12 (f) 0.5 (g) 0.1 f What is the third biggest value in 0.1, -30.53533, 0.2, 1/3, -3, 3? 0.2 Which is the smallest value? (a) 6 (b) -6/7 (c) -1666126 c What is the second smalle
{ "pile_set_name": "DM Mathematics" }
value in t, 3, o? 3 Let b = -31/3 + 11. Let z = -0.09 - -2.89. Let s = -3 + z. What is the smallest value in s, b, -2/11? s Let g = -59 + 64. Let y = 1.1 + -0.1. Which is the third smallest value? (a) g (b) y (c) -2 a Let i = -18 - -17.7. Which is the third biggest value? (a) -0.1 (b) 0.4 (c) i c Let a = 1.14 - -9.26. Let d = a + 0.6. What is the smallest value in -0.4, d, -0.1? -0.4 Let z = 45/2 - 1121/50. Which is the third biggest value? (a) z (b) -1/6 (c) -2 c Let z = 0.392 - 0.092. What is the biggest value in 1, z, 1/2, 5? 5 Let d = 82 + -2379/29. Let l = d + 61/87. Which is the second biggest value? (a) 1/6 (b) l (c) -1 a Let f = -1393/15 + 93. Which is the biggest value? (a) f (b) -2 (c) -3 a Let d(q) = -q**2 + 5*q + 10. Let r be d(7). Let o be r/12 - (-1)/3. Let j = -0.5 + 0. Which is the third biggest value? (a) j (b) o (c) 0.1 a Let v = -5 - -5.3. Which is the third smallest value? (a) -4 (b) 2/19 (c) v c Let n = 8 - 7.6. Let q = 0.6 - n. Which is the second smallest value? (a) q (b) -2 (c) -3 b Let n = 56659 - 2379383/42. Let w = -48/7 + n. Which is the third smallest value? (a) 0 (b) w (c) -2 b Let h be 6*(2 - 70/33). Let m = h + 35/33. Let f = 12 + -12. What is the smallest value in -0.3, m, f? -0.3 Let v = -7.2 + 10.2. Which is the second smallest value? (a) v (b) -1/7 (c) 1 (d) 2/3 d Let s be (30/(-100))/(((-18)/5)/3). What is the second smallest value in s, 8/5, -3? s Let u be (2/(-20))/(18/(-45)). Let z = -2 + -2. Which is the second smallest value? (a) u (b) z (c) -1 c Let u = 0.5 - -2.5. Let f = 2 - u. Let p = 5 + -1. Which is the second biggest value? (a) f (b) p (c) -0.5 c Let o be (-1 - -1)/(6 + -5). Suppose -10 = -5*v + 4*d + 15, -d - 5 = o. Let k = -0.3 - -2.3. Which is the smallest value? (a) k (b) v (c) -0.2 c Let f = 45 - 45.04. Which is the smallest value? (a) -4 (b) 4/9 (c) -5 (d) f c Let m = -2.52 - -2.3. What is the biggest value in -2, -3, m? m Let h = 7 + -3. Let i be 4 - 1 - 1/1. What is the biggest value in i, h, 1? h Let p = -21.2 - -21. Which is the biggest value? (a) -2 (b) 0 (c) p b Let t = 411 + -6985/17. Which is the second smallest value? (a) t (b) 1 (c) 0.06 a Let x be (-18)/(-6) + (2 - (-46)/(-8)). Which is the biggest value? (a) -0.6 (b) x (c) 5 (d) 3 c Let s = -0.64 + 0.3. Let g = s + -0.06. Let l = -20 + 19.7. Which is the second smallest value? (a) g (b) l (c) 2/7 b Let r = 2.9 - -0.1. What is the biggest value in r, -0.1, -0.5? r Suppose -h - 3*u - 9 = u, 4*h - 18 = 2*u. Which is the second biggest value? (a) 8 (b) h (c) 0.1 b Let w = -3 + -4. Let s be ((-1)/(-3))/(w/63). What is the biggest value in 3/7, s, -0.1? 3/7 Let j = 0.25 - -0.05. Let h = 5375/19 + -283. Which is the smallest value? (a) h (b) -4 (c) j b Let l = -13 + 12.74. Let n = 3 + -2.94. Let o = n + l. Which is the smallest value? (a) -2/9 (b) o (c) -2/5 c Let j be ((-2)/(-8))/((-63)/84). Which is the third smallest value? (a) -1 (b) j (c) -1/2 b Let h = -48.3 - -57. Let j = -0.7 + h. Let p = j - 7. Which is the third biggest value? (a) p (b) 3 (c) 2/5 c Let b = -0.037 + -0.163. What is the second biggest value in 1/4, 6, b? 1/4 Let m = -0.8 - 0. Let s = 9.8 + m. Let w = 14 - s. Which is the third biggest value? (a) 1 (b) w (c) -1/4 c Let n be ((-2 + 2)/2)/(-1). Let q = n + 3. Suppose -2*y + 15 = 3*w, -2*w = y - q*w. Which is the biggest value? (a) 5/3 (b) y (c) -0.3 b Let u = 13.044 + -0.044. What is the third smallest value in u, -1/6, 0.1? u Let l(o) = -3*o**2 + 1. Suppose m + 3*t = -2*t + 11, 3 = -5*m + 4*t. Let a be l(m). What is the third smallest value in 1/9, 1, a? 1 Let z = -3.8 + 0.8. Let p = -2.95 - z. Let f = 1.95 + p. What is the second smallest value in -2, f, -1? -1 Let u = -24 + 9. Let v be u/(-27)*(-4)/10. Which is the second smallest value? (a) v (b) -2 (c) 0.2 a Let q be 8/28 + (-74)/14. Which is the smallest value? (a) 1/4 (b) 5 (c) q c Let h = -100 - -102. Which is the smallest value? (a) -0.1 (b) 0.8 (c) h a Let o = 11 + -17. Let m be (-1 + (-4)/(-8))/o. Which is the second biggest value? (a) m (b) 1/5 (c) -4 a Let f = 12 - 11.8. Which is the third biggest value? (a) 1 (b) f (c) -0.1 c Suppose -7*j = -2*j + 70. Let u be 4/j + (-52)/14. Which is the smallest value? (a) -1 (b) u (c) 2 b Let m(l) = -l**2 - 5*l + 8. Let k be m(-6). Let g be -2*k*6/56. Let d be ((-8 - -2)/(-36))/((-2)/(-8)). What is the third biggest value in d, -3, g? -3 Let x = 66 + -860/13. Let h = 7 + -6.6. Let y = 0.9 - h. Which is the second biggest value? (a) y (b) x (c) 2/9 c Let i = -6 - 6. Let b be 27/12*2/i. Let n = -0.7 - -0.2. What is the third biggest value in n, 1/6, b? n Let i = -0.62 + 0.42. Which is the third biggest value? (a) i (b) -2 (c) -3/7 (d) -1/7 c Let s = -56 + 56.7. Let t = 1.4 + -0.8. Let y = t - s. Which is the third biggest value? (a) y (b) 3/4 (c) 3 a Let x = 81 + 49. Let f be (-3)/(-2)*x/39. Which is the second biggest value? (a) 0.1 (b) 0.5 (c) f b Let c = -0.5 - -0.6. Let k = c - 0.1. Let w = 67/3 - 23. What is the second smallest value in -1/3, k, w? -1/3 Let t = 0.14 - 0.34. Which is the smallest value? (a) 5/4 (b) t (c) -0.03 b Let f = 39 - 38. Which is the second smallest value? (a) 4 (b) f (c) 2/7 b Let x = 1.9 - 1.6. What is the smallest value in 4, x, 0.4? x Let j be 27/9 - 8/(-6)*-3. What is the fourth biggest value in j, 1, 7, 0.1? j Let f = 0.1 - -0.4. Let o = -15.6 + 20. Let u = o - 4. Which is the second smallest value? (a) f (b) u (c) -0.2 b Let w be (4/10)/(14/(-10)). Let s = 27/76 + -1819/5548. Let i = s + -152/219. What is the third smallest value in w, 2, i? 2 Let z be 2/(-3)*(0 - 3). Let s = 0.03 + -3.03. Let n = 8 + s. Which is the biggest value? (a) 2/5 (b) z (c) n c Let k = -15 - -17. Let h = 0.3 + -1.3. What is the second biggest value in h, 0.1, k? 0.1 Let w = -0.035 + 5.235. Let f = -0.2 + w. Let d = 8 + -6. Which is the biggest value? (a) d (b) f (c) -3 b Let s = 0.03 + 0.57. What is the smallest value in -1, 2/13, s? -1 Let t = -7 + 7.2. Let k = -5.2 + t. What is the third biggest value in -0.3, k, -0.5? k Let j(c) = c - 13. Let u be j(14). What is the fourth biggest value in 0.2, -4, -0.3, u? -4 Let i be (-90)/14 + (4 - 1). Let w = 89/28 + i. Which is the second smallest value? (a) -0.4 (b) 4/7 (c) w c Let o(g) = -7*g**3 - g**2 + 1. Let t be o(-1). Let p(h) = -h**2 + 9*h - 9. Let j be p(t). Let r = 0.08 + -3.08. What is the second biggest value in j, r, 0.3? 0.3 Let y = 0.2 - -4.8. Which is the second biggest value? (a) -1 (b) -3 (c) y a Let m be 0/(-6) - 1/(-7). What is the third biggest value in m, -16, 0.5? -16 Let o = -0.2 + 0. Let h be ((-3)/(-6))/(6 - 7). What is the second smallest value in h, o, 2? o Suppose -4*m + 2*o = 2, 0 = o - 2 + 1. Let k be (-26)/(-14) - (m - -2). Which is the third biggest value? (a) -0.6 (b) k (c) -5 c Let f = -14.16 - -14. Let n = f - 0.14. Which is the second biggest value? (a) -4 (b) -5 (c) n a Let s = 3 + -3.7. Let c = 0.7 + s. Let u = 6 + -6.4. What is the third smallest value in -5, u, c? c Suppose -3*s = 8 - 26. Which is the third biggest value? (a) -2/11 (b) s (c) -5 (d) 1/2 a Let b(u) = -2 - 1 + u + 1 + 10. Let w be b(-6). Let k = -507/35 + 71/5. What is the smallest value in 0.3, k, w? k Let g = -9 - -4. Let x = g - -5.4. Which is the third biggest value? (a) -4 (b) 1 (c) x a Let u = -59 - -55. Which is the third biggest value? (a) 0.4 (b) u (c) 7 b Suppose 0 = 4*g - 13 - 7. Let d = -7.3 + 2.3. Let s be ((-1)/4)/(1 + -2). Which is the third biggest value? (a) g (b) s (c) d c Let d = -919 + 911.83. Let t = d - -0.17. Let o = -7.3 - t. Which is the third biggest value? (a) o (b) -5 (c) 3/5 b Let k = 4.6 - 5.07. Let g = k - -0.17. Which is the biggest value? (a) g (b) 5 (c) -3/2 b Let r(d) be the first derivative of d**4/4 - d**3 + d**2/2 - 2*d - 6. Let v be r(3). Which is the biggest value? (a) -5/3 (b) -1/3 (c) v c Let g be (-7)/(-3) + -5 + 2 + 1. Which is the fourth smallest value? (a) 4 (b) g (c) -2/7 (d) 1 a Let i be (-1)/(-3) - (-99)/(-135). What is the smallest value in 1, i, -5/3? -5/3 Let x(h) = -h + 4. Let b be x(11). Let i = 10 + b. What is the third smallest value in 0,
{ "pile_set_name": "DM Mathematics" }
vative of -2*f**3*q - f**3 + 4479659*f**2 + 4328452*q wrt q. -2*f**3 + 4328452 Find the second derivative of -42778100*y**2 + 2*y - 707932 wrt y. -85556200 Find the second derivative of 9883744*o**3 + 803*o - 5399 wrt o. 59302464*o Find the third derivative of -24*g**5 + 14*g**4 + 11698*g**3 + 145*g**2 + 4325*g + 7 wrt g. -1440*g**2 + 336*g + 70188 What is the first derivative of 7*b**2*u + 100332*b*u - b - 12095506*u wrt b? 14*b*u + 100332*u - 1 Differentiate 140*t**4 - 10884*t - 1831897. 560*t**3 - 10884 What is the second derivative of 7436719*l**3 + 3651627*l wrt l? 44620314*l What is the second derivative of 282115388*f*k**4 + 3*f*k**2 - 50351*f*k + 4*f - 494 wrt k? 3385384656*f*k**2 + 6*f What is the derivative of -101022133*d - 81126922? -101022133 Find the third derivative of 5998177*q**3 + 30*q**2 - 1716*q - 19. 35989062 What is the second derivative of 4687*l**3 + 7066*l**2*y + 15391*l*y - 71*y wrt l? 28122*l + 14132*y What is the derivative of -106282*i**3 + 11*i + 34868638? -318846*i**2 + 11 What is the second derivative of -27924690*n**2 + 10*n + 1057992 wrt n? -55849380 What is the second derivative of -243235453*g**3 + 63539625*g - 1? -1459412718*g Find the second derivative of -17360210*c**2 + 5396436*c. -34720420 Find the second derivative of 2*b**4 - 349*b**3 + 379*b**2 - 364460*b - 13 wrt b. 24*b**2 - 2094*b + 758 What is the third derivative of 14*a**3*u**3*y**2 + 420817*a**3*y**2 + a**2*u**2*y - a*u**3 + 964721*u**3*y**2 wrt a? 84*u**3*y**2 + 2524902*y**2 Find the second derivative of -1196826*a**2*f*l**3*p + a**2*f*l*p - a*f*l**3 + 2*a*f*l**2*p + 11*a*l**3*p + 539*a*l**3 - a*l**2 + 10*f*l**2*p wrt a. -2393652*f*l**3*p + 2*f*l*p Find the third derivative of -59*m**4 - 1608476*m**3 - 17209*m**2 - 2334. -1416*m - 9650856 Find the third derivative of 64*w**5 + 58*w**4 + 55*w**3 - 1727020*w**2 - 3. 3840*w**2 + 1392*w + 330 Differentiate -138*f*u**2 + 22*f*u + 19942044*f - 737*u**2 with respect to u. -276*f*u + 22*f - 1474*u Find the second derivative of 283574*h**5 - 16*h**3 + 2*h**2 + 46*h - 25905 wrt h. 5671480*h**3 - 96*h + 4 What is the first derivative of 46*u*z**3 + 16*u*z**2 + 9*u*z - 2*u + 1924*z**3 + 1232*z wrt u? 46*z**3 + 16*z**2 + 9*z - 2 Differentiate 5*k*q**3 - k*q**2 + 927796*k*q + q**3 + 20733*q + 91 with respect to k. 5*q**3 - q**2 + 927796*q Differentiate 7917110*w - 5462226 wrt w. 7917110 What is the second derivative of 407012999*x*z**2 + 1222*x*z + 2*x + z - 2689 wrt z? 814025998*x Find the first derivative of -34071530*b**2*q**2 + 18996*q**2 + 782*q wrt b. -68143060*b*q**2 What is the derivative of 33066077*y + 17268198 wrt y? 33066077 Find the third derivative of 629493077*s**4 + 8348414*s**2 - 1. 15107833848*s Differentiate 152745*v**4 - 3*v - 4029444. 610980*v**3 - 3 What is the third derivative of -11271581*s**4 + 7618915*s**2 wrt s? -270517944*s Find the second derivative of -638403749*j**2 + 310536881*j. -1276807498 What is the first derivative of -535*s**2*w**2 + 56441406*s**2 - 68209*w**3 wrt w? -1070*s**2*w - 204627*w**2 What is the second derivative of -122*p**4 - 116947*p**3 + 2*p**2 - 28733877*p wrt p? -1464*p**2 - 701682*p + 4 Find the second derivative of 1176*m**2*t**2*z**3 + 19*m**2*t*z**2 - 2314*t**2*z**3 + 1944*t*z**3 + t wrt t. 2352*m**2*z**3 - 4628*z**3 Differentiate -k**2 + 3*k*q - 1641962*k + 11*q - 14205223 wrt k. -2*k + 3*q - 1641962 What is the third derivative of -10061787*s**4 - 3*s**3 + 392889544*s**2? -241482888*s - 18 Find the third derivative of -354873*k**2*s**3 - k**2*s + k*s**2 + 34990*k*s + s**2 - 4 wrt s. -2129238*k**2 What is the third derivative of -1071527665*v**3 - 288*v**2 - 1576908*v? -6429165990 What is the third derivative of j**5 + 905678*j**4 - 2*j**3 - 172*j**2 - 57*j - 12? 60*j**2 + 21736272*j - 12 Find the first derivative of 18298918*b**2*g**2 + 21*b**2 + 5*b*g**2 - 3771*b + 293 wrt g. 36597836*b**2*g + 10*b*g Find the second derivative of 84389*q**3 + 187*q**2 - 804644*q - 4. 506334*q + 374 Differentiate -k**4 - 6*k**3 - k**2 + 3845*k - 3466508. -4*k**3 - 18*k**2 - 2*k + 3845 Find the third derivative of 334*d**6 + 233053*d**3 + 20313*d**2 + 62*d + 16 wrt d. 40080*d**3 + 1398318 What is the second derivative of -97*b*z**2 + 7167*b*z - 30*b - 247625*z**2 wrt z? -194*b - 495250 Differentiate -98408030*q*w + 6*q - 2*w**2 + 12801994 wrt w. -98408030*q - 4*w Find the third derivative of 2*l*u*v**3 + 3*l*u*v**2 - 27*l*v**3 + 56*u*v**3 + 2426791*u*v + 260*v**3 wrt v. 12*l*u - 162*l + 336*u + 1560 What is the third derivative of -363623527*m**4 - 2*m**3 + 402*m**2 - 317218 wrt m? -8726964648*m - 12 What is the derivative of -8785*d**3*q**2 - 15196*d**3 - 28330487*q**2 + 4*q wrt d? -26355*d**2*q**2 - 45588*d**2 Find the second derivative of 2*a**4 - 1913018*a**2 + 9306759*a wrt a. 24*a**2 - 3826036 Find the third derivative of -35*i*p**3 - i*p**2 + 333638*p**4 + 45524103*p**2 wrt p. -210*i + 8007312*p What is the first derivative of 126848272*c*i**2 + 388107237*i**2 wrt c? 126848272*i**2 Differentiate 2*d**2*q**2 + 1830043*d**2*q + 2985647*d**2 + 23*d - 45*q wrt q. 4*d**2*q + 1830043*d**2 - 45 What is the second derivative of 120*j**2*s + 16623*j**2 + 66*j*s - j - 34*s - 64 wrt j? 240*s + 33246 Differentiate -259410682*c*p**2*z - c*p**2 + 3*c*p + 37*p**2 - 263806*p wrt z. -259410682*c*p**2 What is the second derivative of -9463026*u**3*v**2 - 21*u*v**2 + 19*u*v + u + 2*v**2 + 1287*v wrt u? -56778156*u*v**2 What is the third derivative of 244*f**4 + 347080*f**3 - 24293896*f**2 - 2 wrt f? 5856*f + 2082480 Find the third derivative of 6*n**6 - 5510404*n**3 - 54248672*n**2. 720*n**3 - 33062424 What is the third derivative of -14377852*t**3 + 11*t**2 + 2*t - 16729? -86267112 Find the second derivative of -5360208*b**2*f**2 + 6690*b**2*f + 2*b*f**4 + b + 38 wrt f. -10720416*b**2 + 24*b*f**2 What is the derivative of -53*m**4 + 2402981*m**2 + 542237561? -212*m**3 + 4805962*m Differentiate 17*j**2*t + 1758979*j**2 - 2*j*t**3 - 3*j - 217066*t + 3 with respect to t. 17*j**2 - 6*j*t**2 - 217066 What is the second derivative of 105800*n**2*v + 357*n**2 - n*v - 2*n - 1425955*v + 8 wrt n? 211600*v + 714 Find the third derivative of 2*j**4*n**3 - 29316808*j**3*n**3 - 821315*j**2*n**3 + 85*j*n wrt j. 48*j*n**3 - 175900848*n**3 What is the derivative of -3*l**3 + 2192340*l - 14853305 wrt l? -9*l**2 + 2192340 What is the second derivative of -9380909*o**4 + 3*o**2 - 241*o + 2512? -112570908*o**2 + 6 What is the derivative of 2*m**4 + 2*m**3 - 8335113*m - 194765268 wrt m? 8*m**3 + 6*m**2 - 8335113 Find the third derivative of -2048496*h**4 + 5*h**2 - 883*h + 8. -49163904*h Differentiate -q**2*w - 5203712*q**2 + 49801589*w with respect to q. -2*q*w - 10407424*q Differentiate 368405931*w + 475045139 wrt w. 368405931 Find the second derivative of -446598*h**4 - 2*h**3 - h**2 + 2688*h + 704. -5359176*h**2 - 12*h - 2 What is the third derivative of 5106950*c*j**4 - 9*c*j**2*o**2 - 3*c*j**2*o - 3*c*j**2 - 156*c*o**2 - j**4*o**2 + 3*j - 2*o wrt j? 122566800*c*j - 24*j*o**2 What is the third derivative of 94191924*z**3 + 6495349*z**2 - 11 wrt z? 565151544 What is the second derivative of -4*u**3 - 1101228*u**2 + 38543968*u? -24*u - 2202456 Find the first derivative of -5377725*q**3 - 12*q**2 - 129791038. -16133175*q**2 - 24*q What is the third derivative of -41584793*w**4 - 8714*w**2 + 6*w - 7 wrt w? -998035032*w What is the derivative of -341169*p*q + 18332*p*y**3 - 12*q*y**3 + q*y + 2*q - 1233*y**3 wrt q? -341169*p - 12*y**3 + y + 2 What is the second derivative of 907*o**3 + 4095*o**2 + 1785241*o wrt o? 5442*o + 8190 Find the first derivative of 438*u*v**2 - 6*u*v + 72053*u + 62040489*v**2 wrt u. 438*v**2 - 6*v + 72053 What is the first derivative of -39858*d*v*z**3 + 859*d*v*z**2 + 888*v*z**2 + 89*v + z**3 + 4 wrt d? -39858*v*z**3 + 859*v*z**2 What is the third derivative of 44406927*k**3 - k**2 + 20306001*k? 266441562 Find the second derivative of 26165*x**3 - 2395*x**2 + 2882*x + 20004. 156990*x - 4790 What is the first derivative of b*j - 6*b + 6217160*j**4 - 280188 wrt j? b + 24868640*j**3 Differentiate -x**4 + 2495598*x**2 + x - 40893306. -4*x**3 + 4991196*x + 1 What is the third derivative of 28704515*p**5 - 24*p**2 + 7680*p - 10 wrt p? 1722270900*p**2 What is the third deriv
{ "pile_set_name": "DM Mathematics" }
+ 3*p + 14. Let h = j - k. Solve -4*i + 9 = -h for i. 5 Let a = -91 - -98. Solve 2*d = a*d - 20 for d. 4 Let b(x) = -3*x + 69. Let z be b(23). Solve 4*g = -z*g + 16 for g. 4 Let u be 72/42 - 2*3/(-21). Solve -u*i = -5*i - 9 for i. -3 Suppose 0 = n - 5*f - 11 + 1, -10 = 5*n + 5*f. Suppose -48 = -4*h - 4*p, -6*h + 5*h + p + 6 = n. Solve h = j + 2*j for j. 3 Suppose 5*v - 10*v + 70 = 0. Solve -11*w = -v*w for w. 0 Let a(y) = -y**3 + 5*y**2 - 6*y + 4. Let r be a(3). Solve 0*c = r*c - 16 for c. 4 Suppose -5*t - 9 = n - 0*n, -5*n - 21 = t. Let h be t*2*(-3)/3. Solve 3 = h*l + 1 for l. 1 Suppose 2*j = -3*j + 30. Suppose -j = -4*v + v. Solve q + v = 4 for q. 2 Let p(x) = x**3 + 10*x**2 - x - 14. Let r be p(-10). Let s be -3*(r/3)/4. Let o be 0 - s - (-6 - -5). Solve -3*w + 9 - 3 = o for w. 2 Suppose -12*v + 13*v - 3 = 0. Solve -2*s = v*s for s. 0 Let q be 4/(((-2)/1)/(-1)). Solve q*g - 6*g + 8 = 0 for g. 2 Let r be 18/(-81) + 724/18. Suppose -r = -5*a + 5*o, 3*a + 5*o = 4*a - 24. Solve -9 = -a*f + 7 for f. 4 Suppose -5*l + 80 = -2*x + 4*x, l + 3*x = 16. Solve 0 = 5*g - l + 1 for g. 3 Suppose 0 = 4*d - 4 - 16. Let w be 3 - 1 - (d + -3). Let l be 2/((-39)/15 - -3). Solve 4*i - l*i = w for i. 0 Suppose -q = -5*q. Suppose 4*l - 4*w = -q*w + 28, -5*w - 29 = -2*l. Solve 0 = 3*z + l*z + 5 for z. -1 Suppose 0 = m - 2, a - m = 4*a - 17. Solve 4*k - a = -k for k. 1 Let q(v) = -7*v + 7. Suppose 4*w - 24 + 4 = 0. Let o be q(w). Let h be (-132)/o - 2/(-7). Solve 2*p = h*p + 6 for p. -2 Suppose 4*k + 0*k - 20 = 0. Let o(n) = -n**2 + 0*n + 4*n + k + 0*n**2. Let y be o(5). Solve -2*f + 12 - 4 = y for f. 4 Let d = -55 - -56. Solve d = 2*y - 3 for y. 2 Suppose 1 + 3 = 2*g. Suppose -g*j - 2*j = -4. Solve -5*n = j + 14 for n. -3 Let d = -98 + 104. Solve -d*i - 15 = -9*i for i. 5 Let z(q) = q - 4. Let l be z(6). Let f be 3*4/6*1. Solve -l*p = -0 - f for p. 1 Suppose 1 = t, 2*t = 5*o + 2 - 0. Solve 4*v + v = o for v. 0 Let f(y) = y**3 + 3*y**2 - 5*y. Let i be f(-4). Suppose 2*n + 3*g = -g + 18, -i*n + 29 = g. Suppose -7*d + 10 = -5*d. Solve 4*h + d = -n for h. -3 Suppose 0 = p - 0 - 3. Suppose -3*x - 3*q = 0, -p*x + 3*q = -q. Solve 0*g - g - 4 = x for g. -4 Let q be 16/6 + 12/(-18). Suppose -3*t - 4*y = y - 31, -5*t + 2*y = 0. Solve 0 = 4*x + q + t for x. -1 Let l = 3 + -5. Let j = l + 7. Solve j*n - n = -12 for n. -3 Let n(o) = -3*o + 2*o - 3 - o**2 - 5*o. Let j be n(-5). Suppose q + 2*r + 1 = 16, -j*r = 3*q - 25. Solve -3 = -2*a - q for a. -1 Let d be (-12)/42 + (-32)/(-14). Suppose 4*l - 3*v = -6, 4*v = -2*l + d*v + 4. Solve 0*r + 4*r - 12 = l for r. 3 Let p(o) = -2*o**2 - 25*o - 8. Let v be p(-12). Solve 1 = 5*w - v*w for w. 1 Suppose -27 = -2*a + 3. Let x be a/7 - 7/49. Solve -8 = -3*c - x for c. 2 Suppose -8 = -2*n - 0*a + a, 2*a - 2 = -5*n. Let f = -9 - -9. Let r(l) = l**3 - 6*l**2 + l - 4. Let m be r(6). Solve f = -n*p - m*p for p. 0 Suppose -68*d = -67*d - 4. Solve d*y + 4 = -4 for y. -2 Let k(j) = -j**3 - 4*j**2 - 6*j - 7. Let o be k(-3). Let v be 2 - (0 + 0 + -1). Suppose -3*n + 51 = 3*u, 5*n - 49 = v*n - 5*u. Solve 0 = -o*z - 2*z + n for z. 3 Let s = 2 + -3. Suppose -4*i + 2*z + 32 - 10 = 0, 2*i + 5*z = -19. Let m = i + s. Solve -10 + 0 = m*k for k. -5 Suppose 1 = 3*t - 20. Solve -3 + t = -2*v for v. -2 Suppose -4*x + 4 + 8 = 0. Solve x*r - 4*r - 5 = 0 for r. -5 Suppose -2*b - 3*b - 30 = 0. Let d be (b/(-6))/(1 + 0). Let w be 4 - (4/2)/d. Solve 11 = -w*h + 1 for h. -5 Let x(d) = d. Let o be x(-4). Let a be 4/14 + o/14. Suppose 3*f = -q + 4, -5*q = -a*f - f + 12. Solve -f*w + 7 = 3 for w. 2 Let d be (-62)/8 - 3/12. Let l(j) = j**2 + 6*j - 11. Let s be l(d). Solve -19 + 4 = -s*h for h. 3 Let g = -14 - -16. Suppose 15 = -4*t - g*q - 3*q, -9 = -4*t + 3*q. Solve m + m + 10 = t for m. -5 Suppose 0 = -18*n + 14*n + 12. Solve h = -n*h + 8 for h. 2 Suppose 0*c = -c + 2. Solve -c*p + 10 = -0*p for p. 5 Suppose -23 = -4*y + 17. Suppose 5 + 3 = 4*p. Let n(q) = -q**3 + 8*q**2 - 6*q - 5. Let j be n(7). Solve -y + p = -j*v for v. 4 Let m(r) = -4*r + 22. Let y be m(5). Solve y*k = -6 - 4 for k. -5 Let k(h) = 3*h**2 + h. Suppose 4*n - o = -4*o, 0 = -3*n + o. Suppose -2 + n = -2*b. Let r be k(b). Solve r*y = 9 - 29 for y. -5 Let b = 21 - 19. Solve -4 - b = 2*u for u. -3 Let d(k) = k**2 - 7*k - 4. Let a be d(7). Let r be a/22 + (-229)/11. Let x be (-48)/r - (-4)/(-14). Solve 5*y = x*y - 12 for y. -4 Suppose -27 = -3*o - 0*o. Let b be (3/o)/((-1)/(-15)). Let t = -7 + 18. Solve -t = 4*a + b for a. -4 Let d(p) = -7 + 0 + 3*p + 3. Let j be d(3). Suppose x + 2*u = 0, -4*u = -j + 13. Solve -2 = x*b - 6 for b. 1 Let i(f) = -f**2 - 4*f - 3. Let s be i(-3). Suppose y = -a - 4*a + 20, 2*y + 4*a - 16 = s. Let o = -133 + 134. Solve -z + o + 0 = y for z. 1 Let a(u) = 2*u - 5. Let w be a(4). Let o = 17 + -12. Suppose 2*h - 2 = -3*q + 4, 2*h = -5*q + 10. Solve h = 4*k - o - w for k. 2 Let o be (-3 - -5) + (3 - (-2 + 2)). Solve 12 = o*k - 9*k for k. -3 Let b be (-3)/(-6)*-6 - 3/(-1). Solve b*k + 2*k + 2 = 0 for k. -1 Let r(x) be the third derivative of x**4/12 + x**3/3 + 2*x**2. Let p be r(6). Let h be (-4)/p - (-48)/21. Solve 0 = h*d - 7*d - 20 for d. -4 Suppose -12*w + 13*w = 3. Suppose -2*f = -s - 3, s = -s + f + w. Solve -2*h - 3 = -s*h for h. 3 Let m(j) = -j**2 - j + 5. Let i be m(0). Suppose 0 = 2*c + h - 6, -5*h - 2 = -i*c + 28. Solve 0*d = -c*d for d. 0 Let a = -28 - -37. Solve -a = -0*z - 3*z for z. 3 Suppose 3*d + 2*t = 75, 0 = -3*d + 3*t - 2*t + 84. Solve -5*g - d = -12 for g. -3 Let j be (-2)/((-2)/(-20)*4). Let v be j*(1 - 21/15). Suppose 0 = -n - v + 5. Solve -p = n*p for p. 0 Let g be -3*(-2 + 4/3). Suppose -5*b - 4 = 2*s - 37, 5*s - g*b - 39 = 0. Let m(n) = 3*n - 12. Let x be m(s). Solve 0*v + 3*v = x for v. 5 Let q = 11 - 8. Let r = 7 - q. Let v = r - 2. Solve v*a = 3 - 5 for a. -1 Let c(m) = -4*m - 13. Let w be c(-7). Let g be 0 + 0 + 0 + 2. Solve g*j + w = -j for j. -5 Suppose 4*n + 1 = 17. Let b = -4 + n. Solve b = -7*q + 3*q + 4 for q. 1 Let f(c) = -c + 4. Let h be f(8). Let r be h/(-18) + (-50)/(-18). Suppose -u - 2 = o, -r*o + 0*u = u + 2. Solve o = -m - 2*m for m. 0 Suppose 3*o - 4*c - 2 = 0, -4*o + 3*c - 24 = -6*o. Solve -2*d = -o*d + 16 for d. 4 Suppose -2*o = 2*o - 3*f + 1, -2*o + 2*f - 2 = 0. Suppose -4*x + o = m, m = x + 5*m - 8. Suppose c - 2*c + 9 = 0. Solve 3*d + c = -x*d for d. -3 Suppose -4*y + 5*y + 10 = -5*j, -2*y - j = -7. Suppose 0*x + 5*i = -y*x + 50, 0 = -5*x - 4*i + 45. Suppose 0 = -2*w - 4 + 28. Solve 13 + w = x*m for m. 5 Let o = 3 + 1. Suppose -4*z = 2*t + 12, -o*t + 4 + 8 = -4*z. Solve t = -5*q - 0 - 5 for q. -1 Let o(w) = -w - 1. Let c be o(-5). Suppose -2*q - 2*t = 14, -2*q - 2 = 3*t - c*t. Let u be -1 - q - (1 + -2). Solve u*r - 6 = -0 for r. 2 Let b(z) = -z - 5. Let g be b(-9). Solve -g*i = -5*i for i. 0 Let y = -12 - -24. Suppose 4*z - 4*b + y = 0, 4*z - 2 = 5*b - 17. Solve -3*j + z*j - 12 = 0 for j. -4 Suppose -4*h - 5*d + 17 + 46 = 0, 5*h = 4*d + 48. Solve 3*j - h + 3 = 0 for j. 3 Let i(y) = y + 7. Let h be i(-5). Let u = 0 - h. Let x be (-1)/(u + (-6)/(-4)). Solve -x*k + 3 = -5 for k. 4 Let q(d) = 13*d**3 - d + 1. Let o be q(1). Solve -3 + o = 2*a for a. 5 Let m = -13 + 18. Solve -a + m - 2 = 0 for a. 3 Let n be (-1)/((-114)/18 + 6). Solve -n + 23 = -5*h for h. -4 Let g(q) = -q - 4. Let t be g(-5). Let n = t + 2. Solve -n = -a - 4 for a. -1 Let w(n) = n**2 + 5*n - 9. Let s be w(-7). Let h(b) = -4*b + 1. Let v be h(-1). Suppose 0 = -5*g - 0*g + v*a, 2*g = -s*a + 35. Solve 0 = -4*o - 7 - g for o. -3 Suppose -4*i = 2*h + 10, -h + 2*i = -0 - 11. Solve h*q - 20 = -5 for q. 5 Suppose 2*d - 2*u - 8 = -3*u, 14 = d - 2*u. Solve 4 = 2*i - d for i. 5 Let w(k) = 5*k. Let u be w(-2). Let i(s) = -s**2 - 12*s - 15. Let x be i(u). Solve -3 = -x*n + 2*n for n. 1 Let m be (28/(-21))/(1*(-12)/45). Suppose -2*h = r + 3, -12 = -6*h + 4*h + 4*r. Solve h = -2*w + 7*w + m for w. -1 Let n(f) = f**2 - f + 1. Let v be n(0). Suppose a + 2*w = 8 - v, 37 = 4*a - w. Suppose -3*s + 21 = -a. Solve m + m + s = 0 for m. -5 Suppose -2*w - 7 = -3*m, -7*m + 3*m + 7 = -5*w. Solve -12 = m*a - 6*a for a. 4 Let u(b) = 4*b + 10. Let i be u(-1). Let w = -24 - -34. Solve -4*f - w = i for f. -4 Suppose -2*b - 3*b = 0, 3*n + 4*b = 3. Let m be -1 + (-3)/9*-3. Let d = m - -1. Solve -d
{ "pile_set_name": "DM Mathematics" }
3*q = 949*p + 951*p - 15 for p. 3 Solve 3*o = 6*r + 42, -5*o - 3*r + 110 = 92 for o. 6 Solve 3*n + 42 - 58 = -5*w, 11*w = 2*n + 61 for w. 5 Solve 3*m - 5*x + 32 = 7*m, 0 = 5*x - 20 for m. 3 Solve -5*w - 26*a - 37 = -30*a, -3*w - 2*a - 9 = 0 for w. -5 Solve -23*g + 20*g + 31 = 2*m, 4*g + 5*m = 60 for g. 5 Solve 4*l + 2 = -2*g, -5*l + 733 - 698 = -5*g for l. 2 Solve -45*b + 3*y = -40*b + 30, 0 = -b - 3*y + 12 for b. -3 Solve 0 = 3*x - 8*j + 21, x - 350 = 2*j - 357 for x. -7 Solve 0 = -5*h + 677*x - 680*x - 8, 3*x - 12 = 0 for h. -4 Solve -3*d + 54*x + 12 = 50*x, -d - 5*x + 4 = 0 for d. 4 Solve 4*k + 0*k + 4*c = -24, 46 = -k - 9*c for k. -1 Solve 38 = k + 5*r + 8, -5*k = -13*r + 40 for k. 5 Solve -5 = 3*z - 5*y, -166*z - 4*y - 23 = -163*z for z. -5 Solve -13399 = 5*s + 5*c - 13409, 0 = -6*s - 2*c + 20 for s. 4 Solve 3*u + 207 = -2*n + 235, -14 = 5*n - 3*u for n. 2 Solve -46*a - 2*d = -42*a + 2, 0 = 5*a + 3*d + 1 for a. -2 Solve -254*b - 38 = -5*l - 250*b, -2*l - 6*b - 76 = 0 for l. -2 Solve 5*a + 2 = -4*f + 38, -a + 4*f - 8 - 4 = 0 for a. 4 Solve 4*c = 52, -25 = -n - 5*c + 36 for n. -4 Solve 0 = -2*c - 2*x - 12, c - x = -173 + 179 for c. 0 Solve 2 = o + 3*p, -o + 28 - 22 = -p for o. 5 Solve 5*m + 17 = -r, 9 = 35*m - 37*m + 7 for r. -12 Solve 4*m = -4*q - 40, -5062*q + 5060*q + 3*m + 5 = 0 for q. -5 Solve 7*w - 5*w - 3 = 3*p, -14*p - 45 = w for w. -3 Solve -3*t - 40 = 5*q, -2*q + 3*q + 8 = 0 for t. 0 Solve -2*m - 5*d - 58 = -54, 11 = m - 4*d for m. 3 Solve 0 = -6*j + 2*d + 16, 3*j + j - 2*d = 10 for j. 3 Solve 21948*s + m = 21952*s - 14, -5*s = -m - 18 for s. 4 Solve -5*m = -3*l + 43, 449 - 414 = 5*l - 5*m for l. -4 Solve -28 = 4*q + 4*r, 108*r + 89 = -31*q + 109*r for q. -3 Solve -10 = -6*a + 4*a - 3*a, -3*w + 9*a - 6 = 0 for w. 4 Solve -m + 7 = -2*h, 0 = 2*h + 7*h + m + 15 for h. -2 Solve 4*o + 4*o = -30*k + 5*o + 4*o, 2*k + 2*o = 0 for k. 0 Solve 5*y = -4*v - 40, 0 = 2*v + 3*y + 47 - 29 for v. -15 Solve -389 = o - 4*h - 409, 3*h = -5*o - 15 for o. 0 Solve b - 2141 + 2140 = -4*z, 3*b + 3*z - 12 = 0 for b. 5 Solve -15 = -3*j, x + 54 = 6*j + 14 for x. -10 Solve 3*h + 11 = 5*b, 0 = -4*b + 5*h - 470 + 484 for b. 1 Solve 3*i = 6*b - 48, 2*b - 4*i - 52 = -2*b for b. 3 Solve 2*j + 3 + 25 = 14, 4*j + 12 = 4*d for d. -4 Solve 6 = -3*i - 3*u, -3*i - 1615*u = -1614*u + 12 for i. -5 Solve -76*o + 83*o = -5*z - 48, 0 = 3*o + 2*z + 19 for o. 1 Solve -7*x - 2*x = -5*x - 8, 4*x + 8 = 3*v + 2*x for v. 4 Solve -n + 101 = w + 108, n - 33 = 4*w for n. 1 Solve -2*l - 3*q - 25 = 0, -1554*q + 1559*q = -2*l - 35 for l. -5 Solve 0 = 4*s + 4*v + 351 - 343, 5*v = s - 34 for s. 4 Solve z - k = -13, 4*k - 76 = 4344*z - 4348*z for z. 3 Solve 30*a + 40 = 7*h + 32*a, -4*h + 4*a - 8 = 0 for h. 4 Solve -3*y + 2589*n - 2593*n = 60, 0 = 5*y + 2*n + 114 for y. -24 Solve 2*r + 2 = -4*x - 20, 21 = -3*r - 3*x for r. -3 Solve -d - 3*l = -14, 4*l - 11440 + 11423 = -3*d for d. -1 Solve 3*g = 7*o + 3, 4*o + g = 264 - 263 for o. 0 Solve 32 = 4*r + 1266*f - 1265*f, 3*r + 4*f = 37 for r. 7 Solve -5*v - 45*v + 70 = 123*g - 119*g, 0 = 4*g - 5*v - 15 for g. 5 Solve 4*l - 343 = -3*v - 346, 4*l + 4*v = -8 for l. 3 Solve -2*z + 31 = -4*w + 31, 6 = -3*z for w. -1 Solve -31*u + 38*u - 7*g - 77 = -14, -21 = -5*u - g for u. 5 Solve 3*o + 2*h - 2 = 0, 5*h = -51*o + 50*o - 8 for o. 2 Solve 52 = -327*f + 323*f + 4*j, f + 23 = -4*j for f. -15 Solve 56*t + 11 = 60*t - 3*s, 0 = 4*t + s - 23 for t. 5 Solve 3*f - 9023*o = -9026*o + 6, 0 = -5*f - 3*o + 8 for f. 1 Solve -d + 193 = l + 204, 2*d - 2*l = -14 for d. -9 Solve -8*o - 1733 + 1772 = -5*w, -3*o - 5*w = 61 for o. -2 Solve 3*b = -5*q - 20, 7*b - 5*q - 65 - 5 = 0 for b. 5 Solve 3554*m - 3557*m - z - 18 = 0, -m - 5*z = 48 for m. -3 Solve h - 3*t + 19 = 12, -4*h = -5*t + 21 for h. -4 Solve 6*c - 464*o + 459*o - 32 = 0, -2*c + 2*o = -12 for c. 2 Solve 18 = -4*t + 228*m - 226*m, -5*m = -15 for t. -3 Solve 10 - 2 = l + l, 13*l = -r + 58 for r. 6 Solve u = -h + 3, -22504*h = -22508*h + 2*u + 30 for h. 6 Solve -6*h + 2 = -5*b - 5*h, 11 = -2*b - 3*h for b. -1 Solve 5*c - 288 = -4*t - 333, 3*c + 15 = 0 for t. -5 Solve 5*m + 81 = -4*q, -224*m + 38 = 4*q - 226*m for q. 1 Solve 2282*z - 8 = 2286*z + 5*v, -2*v + 40 = -20*z for z. -2 Solve 61*t - 4*h = 64*t + 20, -3*h - 15 = -5*t for t. 0 Solve -9*c + 1296*j = 1295*j - 6, 0 = -4*c - 4*j + 16 for c. 1 Solve 12 = 2*x, 27 - 9 = 53*j - 57*j + 3*x for j. 0 Solve 25 = 24335*c - 24331*c - 3*s, 5 = 2*c + s for c. 4 Solve -35 = -5*t - 13*b + 18*b, -5*b - 25 = -3*t for t. 5 Solve 0 = -2*m + 7437 - 7447, -5*t = -2*m - 20 for t. 2 Solve -9*h + 4*g = -12*h - 25, g = -h - 7 for h. -3 Solve 4*y + 5*a = -31, -428 = 4*y - 4*a - 424 for y. -4 Solve v - 5 = -4*r, -5*v + 3 = -r + 20 for v. -3 Solve -10 + 0 = 4*a - 2*t, -5*t + 34 = -a for a. 1 Solve 0 = 40*m + 80, 2*m - 6 = -133*o + 128*o for o. 2 Solve -4*p - 24 = 4*v, -5*p - v - 87 = -61 for p. -5 Solve -3*d - 2 = -k, -4*k - 730*d = -734*d - 16 for k. 5 Solve -2*r + 257*p - 255*p - 18 = 0, -5*p = -3*r - 45 for r. 0 Solve -3 = 3*x, 10 = -n + 7*n - 4*x for n. 1 Solve -q - 80 = -1120*x + 1113*x, 4*x - 56 = -2*q for q. 4 Solve 5*f = -2*i - 35, 5*i + 2310*f = 2314*f - 5 for i. -5 Solve -1038*p - 21 = -1040*p + 5*i, -4*p = -2*i - 18 for p. 3 Solve -5*t = -2*x + 31, 224*x - 225*x = -t - 5 for t. -7 Solve 5*f - 29 = -3*d, 2*d + 5*f + 7 = 38 for d. -2 Solve 0 = -3*o - 1516*r + 1517*r + 16, o - 2*r + 3 = 0 for o. 7 Solve 4*c = 12*k + 164 - 84, 0 = -3*c + 3*k + 30 for c. 5 Solve 5*p + 17 = -2*w + 51, 2*p + 44 = 4*w for p. 2 Solve 4*b + 8*l - 5 = 11*l, -2*b + 4*l = 10 for b. 5 Solve -5*o + 5 = x, 3*x - 7*x = -4*o - 44 for x. 10 Solve -137*l = -142*l + 2*u, 3*u - 9 = 3*l for l. 2 Solve -2 = -159*z + 158*z - h, -z - 3*h - 2 = 0 for z. 4 Solve -5*n - 6 = -w, -69*n - 4*w + 2 = -67*n for n. -1 Solve 2*m = -5*f - 32, -4722*f + 4725*f = 6*m + 60 for f. -2 Solve 10*d - 29 + 46 = -2*n - 49, 18 = -3*d for n. -3 Solve -n = 4*y - 8, -114*n + 111*n + 5*y = 27 for n. -4 Solve 175*g + u = 175*g, -12 = -3*g + u for g. 4 Solve -6*g + 3*s - 32 = 5*s, -2*s - 183 = 2*g - 171 for g. -5 Solve 34*l - 35*l + 4*n = -29, 5*l = -5*n - 5 for l. 5 Solve 2*n + 3*b - 2 = -0*n, 0 = 5*n + 4*b + 7 + 2 for n. -5 Solve 4*x - 24 = -4*o, 0 = -3*x - 32*o + 23*o + 18 for x. 6 Solve 9*r + 272*z = 275*z - 84, -r = -z + 20 for r. -4 Solve 0 = -k + 5*j - 40, 161*k - 4*j = 165*k - 56 for k. 5 Solve -15*v + 12*v = -4*y - 30, 27 = y + 5*v for y. -3 Solve 4*w = 3*n - 10, 0 = 2*w + 4*n + 197 - 181 for w. -4 Solve -y + 8 = 2*h + 9, -5*y + h = -6 for y. 1 Solve -5*t + 5 = -5*v, -5*t = -60*v + 62*v - 33 for v. 4 Solve 0 = -2*g + 5*y + 1, -3 = 2*g - y for g. -2 Solve -4*b - 4*l - 77 = -13, -b + 4*l + 49 = 0 for b. -3 Solve -5*k - 22 = 38*m - 37*m, -2*m - 31 = -3*k for m. -17 Solve 5*f - 5 = 5*v, -3*f - 420*v + 419*v - 1 = 0 for f. 0 Solve 4*x = 5*d + 31, 77 - 54 = -d + 2*x for d. 5 Solve 4*v + 41 = -2*x + 3, -5*v = 4*x + 55 for v. -7 Solve 2*p = 4*b - 16, 2*b + 581*p + 76 = 576*p for b. -3 Solve 0 = 5*n + 5*v + 339 - 289, v = -2*n - 7 for n. 3 Solve -5*h = -l + 28, 30*h + 0*l + 3*l = 35*h + 34 for h. -5 Solve -g = -3*k + 9, -4*g - 3 = -7960*k + 7959*k for g. 0 Solve -4*n + 6 = -2*o, -24*o - 13 + 8 = -25*o + 4*n for o. -11 Solve -5*m = 25, -r + 5*m + 139 = 114 for r. 0 Solve -2*n + 89 = -k + 96, 21 = -5*k - 4*n for k. -1 Solve 2*z = -3*i + i - 12, 0 = -38*z + i - 189 for z. -5 Solve 3*i + r - 11 = 0, -i - 198*r + 1 = -197*r for i. 5 Solve 4*a = -m - 25, 4391 = -5*m + 4366 for a. -5 Solve 4*h - 7 = 3*y, -6*h - 102430 + 102451 = -y for h. 4 Solve -2*k = 3*t + 2, -304*k + 21 = -4*t - 303*k for t. -4 Solve 102*s - 28 = 100*s - 3*j, 128 = 4*s + 15*j for s. 2 Solve -6*c + 3*c + 15 = -3*l, -2*c - 2*l = 6 for c. 1 Solve -4*u + 5*d = 9*d + 4, 2*u + 5 = -d for u. -4 Solve -6*y = u + 23, -8*u - 34 = 37*y - 39*y for u. -5 Solve 4*o + 12 = -5*l, 115*o = 112*o + 6*l - 9 for o. -3 Solve 5*m - 2*z - 2*z = -3*z - 36, -z - 4 = 0 for m. -8 Solve 37 - 17 = -l + 3*v, 0 = -l + 4*v - 26 for l. -2 Solve 0 = -3*d - 2*b + 13, 0 = 15*b - 18*b + 24 for d. -1 Solve -30*d + 31*d + 46 = 10*s, 0*d - 5*d = -4*s for s. 5 Solve -9642*c - 2 = -9644*c + f, -2*f + 17 = 3*c for c. 3 Solve -2*g - 4*n - 14 = 0, 805*n = 5*g + 792*n + 104 for g. -13 Solve -4*q + 40 = 4*y, 12 = -5*y - 7*q +
{ "pile_set_name": "DM Mathematics" }
-4038, -3721, -3404, -3087, -2770, -2453? -2136 What is the next term in -62428, -62414, -62378, -62308, -62192, -62018, -61774? -61448 What is the next term in -245, 234, 1539, 4084, 8283, 14550? 23299 What comes next: 1878999, 1878998, 1878997, 1878996? 1878995 What is next in -35668, -71328, -107002, -142696, -178416, -214168? -249958 What comes next: -3304, -3341, -3382, -3427, -3476, -3529, -3586? -3647 What is next in 395, 387, 381, 377, 375, 375? 377 What is next in -51, -152, -251, -294, -227, 4, 453? 1174 What is next in 96, 696, 1696, 3096, 4896, 7096, 9696? 12696 What is next in 1615015, 1615026, 1615051, 1615096, 1615167, 1615270, 1615411, 1615596? 1615831 What is the next term in 182, 1626, 5544, 13172, 25746, 44502? 70676 What is the next term in 329, 2532, 8515, 20168, 39381, 68044, 108047, 161280? 229633 What comes next: -416, -449, -488, -527, -560, -581, -584? -563 What is next in 1500, 2995, 4478, 5943, 7384, 8795, 10170, 11503? 12788 What is next in -1403, -1409, -1413, -1415, -1415? -1413 What is next in 11, -37, -149, -325, -565, -869, -1237? -1669 What comes next: 228, 50, -448, -1428, -3052? -5482 What is the next term in 263, 666, 1083, 1520, 1983, 2478, 3011, 3588? 4215 What is next in -3724, -3716, -3708, -3700, -3692? -3684 What is next in -1291, -2604, -3893, -5146, -6351? -7496 What is the next term in 9050, 8977, 8892, 8789, 8662, 8505, 8312? 8077 What is the next term in -935, -1753, -2571, -3389? -4207 What is the next term in -27590, -55169, -82748, -110327, -137906? -165485 What is next in -418, -973, -1528? -2083 What comes next: 1121, 1119, 1117, 1115, 1113, 1111? 1109 What comes next: -14, -50, -128, -266, -482, -794? -1220 What is the next term in -1058685, -1058688, -1058693, -1058700, -1058709? -1058720 What comes next: 3750900, 3750897, 3750892, 3750885, 3750876? 3750865 What is the next term in 10374, 20691, 31008, 41325, 51642, 61959? 72276 What comes next: -7, -206, -451, -760, -1151, -1642? -2251 What comes next: 410, 1587, 3542, 6275, 9786, 14075? 19142 What is next in 56, 280, 670, 1232, 1972, 2896, 4010, 5320? 6832 What is next in 15093, 15234, 15615, 16356, 17577, 19398, 21939? 25320 What comes next: -31091, -31098, -31105, -31112, -31119? -31126 What is next in 239, 517, 863, 1313, 1903? 2669 What is the next term in -1208, -9496, -31918, -75542, -147436, -254668? -404306 What is next in -3478, -3469, -3422, -3319, -3142? -2873 What comes next: 2704, 5404, 8102, 10798? 13492 What is the next term in 907164, 907166, 907170, 907176? 907184 What is the next term in -8896, -8902, -8912, -8926, -8944, -8966, -8992? -9022 What is next in -37829, -75666, -113511, -151364, -189225, -227094? -264971 What is next in 16, -72, -162, -254, -348, -444, -542? -642 What comes next: 1163, 2325, 3487, 4649, 5811? 6973 What is next in 63143, 126288, 189433? 252578 What is the next term in -28155, -112628, -253419, -450528, -703955, -1013700? -1379763 What comes next: 8022432, 8022431, 8022430, 8022429, 8022428? 8022427 What is next in 92, 105, 142, 215, 336, 517, 770, 1107? 1540 What is the next term in 34476, 34479, 34484, 34491, 34500? 34511 What comes next: 595, 634, 673? 712 What is the next term in 11, -196, -761, -1864, -3685, -6404, -10201? -15256 What comes next: -2724, -2831, -2938, -3045, -3152, -3259? -3366 What comes next: 7174, 7227, 7280, 7333, 7386? 7439 What is next in 63303, 126605, 189907, 253209, 316511? 379813 What is the next term in 16535, 16546, 16591, 16688, 16855, 17110? 17471 What is the next term in 32311, 64620, 96929? 129238 What is the next term in -275, -1066, -2385, -4232, -6607? -9510 What comes next: 356, 938, 1510, 2066, 2600? 3106 What is the next term in -3164, -3349, -3846, -4811, -6400, -8769? -12074 What is next in 1543, 3023, 4503, 5983? 7463 What is the next term in 3248, 13033, 29344, 52181, 81544, 117433, 159848? 208789 What is next in -34, -80, -142, -220? -314 What is next in -61892, -123780, -185668, -247556? -309444 What comes next: 385740, 385745, 385762, 385797, 385856, 385945, 386070? 386237 What comes next: 63, 271, 765, 1689, 3187, 5403, 8481, 12565? 17799 What is next in 1062, 4210, 9440, 16740, 26098? 37502 What comes next: -299, -797, -1295? -1793 What is the next term in 75993, 75994, 75995? 75996 What is next in 58426, 116855, 175286, 233719, 292154, 350591, 409030? 467471 What is next in -392, -1527, -3408, -6035, -9408? -13527 What is next in -117, -168, -243, -354, -513, -732, -1023? -1398 What is next in 50, 483, 1684, 4037, 7926, 13735, 21848, 32649? 46522 What is next in 630, 1412, 2194, 2976, 3758? 4540 What is the next term in -403, -1051, -2181, -4033, -6847? -10863 What is the next term in 2231, 3972, 5711, 7448? 9183 What is the next term in -6670869, -13341737, -20012605? -26683473 What comes next: -1980, -1933, -1886, -1839, -1792, -1745? -1698 What comes next: -214206, -214213, -214224, -214239, -214258, -214281? -214308 What comes next: -2672, -5339, -8020, -10715, -13424, -16147? -18884 What is the next term in -12441, -12481, -12583, -12777, -13093, -13561, -14211? -15073 What is next in 1473, 2763, 4059, 5361, 6669, 7983, 9303? 10629 What is the next term in -5169, -20679, -46529, -82719, -129249, -186119, -253329? -330879 What comes next: 3269, 3261, 3229, 3173, 3093, 2989? 2861 What is next in 114, 170, 184, 138, 14, -206, -540, -1006? -1622 What is the next term in -1127, -4521, -10173, -18077, -28227, -40617, -55241, -72093? -91167 What comes next: 226, 2344, 5874, 10816, 17170, 24936? 34114 What is next in -1598, -6447, -14528, -25841? -40386 What is the next term in -657364, -657362, -657358, -657352, -657344? -657334 What is next in 21192, 21192, 21180, 21150, 21096, 21012, 20892, 20730? 20520 What is the next term in 382, 1538, 3492, 6262, 9866? 14322 What comes next: -1108, -8801, -29644, -70213, -137084, -236833, -376036, -561269? -799108 What is the next term in 6593, 13193, 19793, 26393? 32993 What is the next term in 991, 1966, 2931, 3886? 4831 What comes next: 2627, 2620, 2599, 2552, 2467, 2332, 2135, 1864? 1507 What comes next: -1753, -1753, -1751, -1747, -1741, -1733, -1723? -1711 What is next in 18, 182, 464, 864, 1382? 2018 What comes next: -6474, -6460, -6446, -6432, -6418, -6404? -6390 What is next in -65515, -65522, -65529, -65536? -65543 What comes next: 1685, 1741, 1797, 1853, 1909, 1965? 2021 What comes next: 14505, 14498, 14487, 14472, 14453? 14430 What comes next: -33, -179, -335, -507, -701, -923? -1179 What is the next term in -1014, -4087, -9210, -16383, -25606? -36879 What comes next: -10475, -18279, -26093, -33923, -41775, -49655, -57569, -65523? -73523 What is the next term in 5752, 7201, 9610, 12973, 17284, 22537, 28726? 35845 What is next in -986, -1954, -2914, -3866? -4810 What is the next term in 12140, 12123, 12094, 12053, 12000, 11935? 11858 What comes next: -2131, -3653, -5175, -6697, -8219, -9741? -11263 What comes next: 562, 2258, 5108, 9124, 14318, 20702, 28288? 37088 What is next in -288, -280, -266, -246, -220, -188, -150? -106 What is next in 184, 554, 1124, 1894, 2864, 4034, 5404? 6974 What comes next: -4877, -4860, -4835, -4802, -4761, -4712? -4655 What is the next term in 695, 1266, 1825, 2366, 2883, 3370, 3821, 4230? 4591 What is the next term in 12, 14, -12, -72, -172, -318, -516? -772 What is next in 91, 331, 719, 1255, 1939, 2771, 3751? 4879 What is the next term in -33, 1391, 5291, 12915, 25511, 44327, 70611, 105611? 150575 What is the next term in -191, -13, 283, 697? 1229 What comes next: 114, 425, 792, 1215, 1694, 2229? 2820 What is next in 149, 568, 1235, 2132, 3241? 4544 What comes next: -2802, -11203, -25204, -44805, -70006? -100807 What is next in 181, 175, 157, 121, 61, -29? -155 What is the next term in 205037, 410077, 615119, 820163, 1025209, 1230257? 1435307 What is next in 33, -30, -119, -246, -423, -662? -975 What is the next term in -30173, -30179, -30209, -30275, -30389, -30563, -30809, -31139? -31565 What is next in 5697, 6780, 7863, 8946? 10029 What is next in -21093, -42170, -63237, -84294, -105341? -126378 What comes next: 160, 199, 260, 337, 424? 515 What comes next: 4004, 4670, 5336? 6002 What comes next: -428768, -857543, -1286318? -1715093 What is next in -
{ "pile_set_name": "DM Mathematics" }
-10 + 0 -1 What is (-7 + 12 - 34) + 19 + -9? -19 What is 3 + -1 - (-4 - ((32 - 14) + 3))? 27 What is the value of 33 - (33 - (46 + -17))? 29 What is (0 + -4 - 11 - 8) + (-2 - 0)? -25 7 + -5 + 10 - (6 - 2) - 6 2 Evaluate 24 + (8 - 15) + (-6 - -1 - -2). 14 (10 - (8 - 6)) + 5 + (2 - -7) 22 What is the value of -20 + 45 - (-21 + 48)? -2 Evaluate -32 + (23 - 17) + 45. 19 What is the value of 5 - (14 - ((13 - 3) + -5))? -4 Evaluate (8 + -15 - -12) + (3 + 1 - 9). 0 What is 10 - (-2 + -2 - -13)? 1 Evaluate 9 + (-2 + (-2 - -15) - 7). 13 Calculate 185 + -182 + (0 - 0) - (1 - 4). 6 What is -5 - ((-10 - -5) + 1) - (-4 - -8)? -5 -30 - ((-4 - (-8 + 1)) + -17) -16 -16 + (33 - 32) - 7 -22 -5 + (-27 - -28) - (6 - 1) -9 What is the value of 12 + 8 + -40 - (-7 + 0 + 0)? -13 Evaluate -141 + 156 + -29 + 1 + -3. -16 What is the value of -42 - (32 + -27 - 35)? -12 What is the value of -251 - -248 - (2 + -1 - (-6 + 10))? 0 What is the value of -3491 - -3484 - (-21 + -1 - 1) - 12? 4 (14 - 2) + -45 + 42 9 Calculate -2 + -19 + 13 + 28. 20 (-25 - -15 - (0 - 12)) + -7 -5 Evaluate 4 + (-3 + 0 + -10 - 7). -16 Evaluate 4 + -13 + 24 - 19. -4 What is the value of 26 - (-30 + 49) - 14? -7 What is the value of -12 + 19 + -16 + 5? -4 Evaluate (2 - 2) + (-6 - -2) - (-137 + 165). -32 What is (2 - (18 + -34) - 13) + -33 + 1? -27 Calculate -8 + 2 + -3 + 5 + -2. -6 What is (18 - 40) + 21 - (2 + -2 + -5)? 4 (40 - -3 - 26) + 7 + -2 22 Evaluate 26 - (10 + 0 + -3). 19 Evaluate -24 + (14 - 18) + 37. 9 Calculate 134 - 130 - (-5 + -2). 11 What is the value of 24 + -3 + 10 + -14 - 8? 9 What is the value of 3 + ((-4 - 4) + 4 - (13 - 2))? -12 Calculate -5495 + 5508 + (1 - (0 + 20)). -6 What is the value of (-8 - (-5 + 9) - -3 - -4) + -8? -13 (-17 - (0 - 20)) + -26 + 4 - 6 -25 Calculate -26 - -2 - (-175 - -160). -9 What is the value of 2 - (-14 - (3 - 0) - (-30 + 27))? 16 Evaluate (-30 - (-12 - 23)) + 0 + 10. 15 15 + (-30 - (3 + -5)) -13 What is the value of 3 + -5 + 10 + (-45 - -48) - 7? 4 What is the value of (-26 - (2 + -19)) + -21 + (0 - -7)? -23 Calculate 9 + (-4 - 9) + 12. 8 1 - (7 - -2 - 5 - 14) 11 What is (-34 + 51 - 61) + 24? -20 What is the value of (8 - (13 - -1)) + (2 - 4 - 9)? -17 Evaluate (14 - (2 - -2 - -1)) + -35 + 5. -21 What is the value of -32 + -25 + 14 + 64? 21 Evaluate -8 + -4 + 10 + -1 - -3. 0 What is the value of 2 + -3 - (-1 + (-15 - -7 - -9))? -1 (1 - (1 + -3)) + 0 - (-46 - -59) -10 Calculate 2 + (-14 - -6) + 3. -3 What is 1 - -24 - (-885 + 888)? 22 Calculate 9 - ((-17 - -10 - -12) + 4). 0 -40 + 15 - -9 - -10 -6 Evaluate -6 + 0 + (-63 - -74) + -5 + -1. -1 What is the value of (10 - (1 + -3)) + -198 + 202? 16 Evaluate 13 - (6 - (-15 - 29)) - -9. -28 13 - 1 - 8 - -5 - (-2 - -4) 7 What is (9 - ((-11 - -16) + 21)) + 1 + -3? -19 Calculate 1 + -32 - 2 - -23. -10 What is -15 - (19 + -13 + -6)? -15 Evaluate (-32 + 31 - (5 + -10)) + -5. -1 What is the value of 5 + 13 + -8 + -6? 4 What is the value of 14 + -12 + 0 - 10? -8 Calculate -2 + -10 + (10 - 1) + 9. 6 What is the value of 1 + -2 + (-38 - -49) + 7? 17 What is -6 + 0 + -931 + 921? -16 Calculate (0 - -18) + (381 - 398). 1 What is the value of -1 + 19 - (206 - 192)? 4 What is the value of -8 - -5 - -8 - -2 - 29? -22 -1 - 7 - (-129 + 111) 10 Calculate -4 - (9 + (-1 - -1 - -7)). -20 -1 + -4 - 8 - -2 -11 What is 24 + -12 + -16 + 11? 7 3 + -17 - (51 - 56) -9 Evaluate -17 - (-46 - (15 - (17 - 2))). 29 (-16 - -1) + -103 + 115 -3 -8 + -8 + (-70 - -73) -13 What is the value of 30 + (0 + -47 - -27)? 10 Evaluate (-2 + -15 - (-34 + 35)) + 36. 18 4 + 11 + 20 + -29 6 Evaluate -32 - (-27 + -5 + 22). -22 Calculate (2 - -24 - 0) + -7 + 0 + -4. 15 27 + (-10 - (11 + (18 - 47))) 35 Calculate (79 + -20 - 34) + -51. -26 What is -6 + (16 + -1 - 9) - (6 - 2)? -4 Evaluate (-7 - 8) + (4 - (17 + -40)). 12 (4 - 5) + -12 + -1 + -2 + 11 -5 -18 + 9 - (1 + -8) - 3 -5 (17 - 11) + -2 - 17 -13 What is (2 - (-9 + 10 + 6)) + 19? 14 Calculate -3 - (3 + -6 + -3 + 152 + -162). 13 Calculate 18 + -25 - (-9 + (-8 - -8)). 2 What is -72 + 67 - (-28 + 0) - 7? 16 0 - (10 + 3 + -25) - 4 8 What is the value of (19 - 7) + (-16 - -7)? 3 Evaluate -16 - ((-11 - -14) + -18) - 7. -8 Calculate 16 - (15 + -15 + 23). -7 What is the value of (7 - 5 - (-2 + -5)) + -3? 6 0 - ((-4 - -7) + -8 + -15) 20 What is the value of -7 - -1 - (15 - 35) - 8? 6 11 + -28 + 5 + 5 -7 -13 + (9 - -10) + -2 4 Evaluate (-1151 - -1135) + 54 + -2 + -1. 35 What is 4 + -17 - -3 - 26? -36 What is 7 - 1 - (1 + -3 - (1 - 2))? 7 9 - (-5 - (7 - -1 - 14 - 2)) 6 What is the value of -5 - (0 + (4 - 3)) - (8 - 10)? -4 Calculate -4 + (-14 + 15 - -1). -2 Calculate (8 - 4) + (2 + 2 - (-60 - -83)). -15 What is the value of (4 - -1 - (4 + 12)) + -1? -12 Evaluate 7 - (-4 - (-34 - 3)) - -7. -19 What is -9 - (-5 + 1 - (-7 - -9))? -3 What is the value of (17 + -13 - 1) + 16? 19 Calculate -18 + 3 + (-24 - -27) + 0 + 1. -11 17 + 8 + (15 - 19 - 0) 21 -3 + -9 + 2 - 1 -11 Calculate 10 - (-11 + (-12 - -30) + 2). 1 -4 - (-4 + 3 - 8) - (-1 + 22) -16 Calculate (9 - 6) + -8 + 12 - 5. 2 13 + (-30 - -13) + (0 - -2 - 2) -4 Calculate 18 + 25 + -32 - (13 - 2). 0 Calculate -12 - -2 - -19 - 21. -12 What is -5 + (5 - ((1 - -5) + 0))? -6 -2 + 2 - (6 - (-6 - -4)) -8 What is (-3 - 11) + 20 - (-2 + 8)? 0 Evaluate -17 + 16 + -1 + (1 - 7) - -2. -6 6 - (-8 - (1 + -10)) - (-13 - -3) 15 What is -13 + 47 - (1 + 12)? 21 Evaluate 4 - -3 - (-8 - -1 - (28 + -36)). 6 Calculate (-20 - (3 - (-1 - (3 - 7)))) + 6. -14 Evaluate -22 - (6 + -5 + (-3 - -3) + -2). -21 What is (-1 - 16) + -38 + 63 + -36? -28 What is (-1 - (-4 + 0)) + (-56 - -62)? 9 What is the value of -5 - -5 - 1 - (0 - (-4 - -3))? -2 What is the value of 6 + -1 + (-7 + 4 - -1)? 3 What is the value of -7 + (7 + -12 + 21 - 5)? 4 What is the value of (3 - -36 - 62) + (-1 - -10)? -14 5 + -9 + 8 + -8 - -6 2 Evaluate -22 + -5 + 18 + -1. -10 What is the value of -10 - -15 - -27 - 19? 13 Evaluate 6 + (-6 - (8 + (2 - -5) + -22)). 7 (0 - -5) + (-11 - -20) 14 Calculate (-7 + 1 - -6) + -2 + -9 + 3. -8 What is (11 + -12 - -6) + (-2 - 3)? 0 Calculate -5 - -22 - (-3 + 7 + 17 + -26). 22 What is the value of (2 + -8 - (-80 - -67)) + (1 - -7)? 15 Calculate 71 + -66 + (0 + 4 - -3). 12 What is the value of (0 - 1 - -12) + (-21 + 32 - 16)? 6 Calculate 400 + -415 + (1 - -2) + 0 + -1. -13 Evaluate 16 - (-3 + 6 + -15 + 13 + -4). 19 Evaluate -21 - (-8 + -12 - -14). -15 (9 - 2) + (-4 - 1) + -11 + 4 -5 (-12 - (-16 - -10)) + -10 -16 What is 63 + -33 - (0 - 2 - (-4 - 3))? 25 What is the value of 19 + -11 + (-3 - -7) - 17 - 5? -10 What is -5 + (10 - (-3 - 2)) + (5 - 9)? 6 What is the value of 8 - (27 - 4) - -3? -12 Evaluate 7 + (23 - 53) - -23. 0 124 - 148 - ((-2 - 0) + (-2 - -5)) -25 -17 + 0 + (-27 - -38) -6 15 - -5 - 12 - (-2 + 21) -11 Evaluate 18 - (3 - -26 - 4). -7 What is 1 - -17 - (-2 + (-10 - (-3 + -6)))? 21 Evaluate -1 - 10 - (-6 + 6). -11 Evaluate -10 - (-22 - -9) - 2. 1 Calculate -47 + 57 + -21 - (-24 + 1). 12 Evaluate 13 - 15 - (2 - -1). -5 Calculate 0 - 9 - (27 + -36). 0 -20 + 16 - (-3 + 0) -1 Calculate (-1 - 19 - (26 - 23)) + 9 + 3. -11 What is 3 + -7 + 6 + 0 + -5? -3 Calculate 5 - (8 + -6 + 7 + -7). 3 What is the value of -9 + 2 + (6 - 9) - 2? -12 What is 18 - (-10 - (26 - 42))? 12 What is the value of (-8 - (-1 + 1 + -5)) + (87 - 102)? -18 What is the value of 9 - (17 - (45 - 26))? 11 (0 - -6 - 1) + 12 + -10 - -15 22 What is the value of 2 + -10 + (9 + (-25 - -1) - -4)? -19 Evaluate 8 + -19 - -25 - -17. 31 What is the value of -10 - (-3 + (-3 - -11) + -8)? -7 Evaluate -8 - (-32 - -36 - (10 - -1)). -1 -8 + 2 - (5 + 18 + (0 - 2)) -27 What is the value of -32 - -43 - (21 - -1)? -11 What is the value of 3 + -32 + -2 + 24? -7 Evaluate (-1 - 1) + 9 - (576 - 537) - 1. -33 Calculate 4 + (7 - 10) + -5 + 1. -3 2 - 17 - 2 - (-1111 + 1095) -1 Calculate 0 + -4 + 4 + (3 - 3) + -15. -15 -8 - 19 - 7 - -17 -17 Evaluate 4 - (1 + -11 + (-19 - -18)). 15 13 - (-20 - -19) - (2 - (-1 - 1)) 10 Evaluate 1 + (3 + -11 - -6 - -7 - 6). 0 Calculate 0 + 8 + (-11 + 9 - (1 - -33)). -28 Calculate -10 + (18 - 16 - -31). 23 What is the value of (-5 + 12 - -7) + -1? 13 Calculate (0 - -1) + (92 - 132) - -15. -24 What is ((-1 - -5) + (40 - 53) - -14) + -23? -18 Evaluate (1 - -2) + -1 - (-22 - -17). 7 What is 3 - (-1 + (15 - 7) + -4)? 0 What is the
{ "pile_set_name": "DM Mathematics" }
hat is the closest to 48 in -1/4, -15/13, 0.5, 0.3, 0, 2? 2 What is the closest to 90 in -0.06, -3, 41, 82? 82 What is the closest to -0.1 in -505/27, -5, -162, 0.4? 0.4 Which is the closest to -0.1? (a) 2725 (b) -1 (c) 24 (d) -4/5 d What is the closest to 28 in -2/17, -8, 0, -16, -2/13? 0 What is the nearest to 245 in -4, -1/10, 1988? -1/10 Which is the nearest to 0? (a) -48 (b) 34 (c) -1/3 (d) -2/5 (e) 1 (f) 0 f Which is the closest to -0.1? (a) 3 (b) 112 (c) 0.3 (d) 1 (e) 18/1387 e Which is the nearest to 0.1? (a) -238 (b) 11 (c) -18 (d) 1/6 (e) -13 d What is the closest to 6 in 112/905, 0.3, -2/11, -2? 0.3 What is the nearest to 0.3 in 0.3, 1, 4, -0.08, 24068? 0.3 What is the nearest to -2 in -25/88, -2/55, 2.7? -25/88 What is the closest to 2/13 in -5, 4/73, 0.05, -1/43? 4/73 Which is the closest to 0? (a) -0.4 (b) 4/7 (c) -68 (d) 223/3 (e) -39 (f) -2/15 f What is the closest to 1/3 in 5, 121/14, -2/5, 0, 1/8? 1/8 Which is the closest to -0.1? (a) 1712 (b) -2 (c) -2972 b What is the nearest to 1 in 2/11, 0.5, -1089.564, -0.3? 0.5 What is the closest to -8/55 in -2/9, 0.5, 6209, 4/7, 0.1? -2/9 Which is the closest to -23? (a) 4 (b) -17.8573 (c) -5 b What is the closest to -14/5 in -2/539, 40, 0, 1/9? -2/539 Which is the closest to 50.81? (a) -82/5 (b) -5 (c) 0.1 c What is the nearest to -7 in 1/4, -2.8, 10/37, 2? -2.8 What is the nearest to -4 in -0.3, 3, 0.43, 1285? -0.3 Which is the nearest to 2? (a) 4.2 (b) -2/235 (c) -120 b What is the closest to -26.9016 in 4, 0.2, -1, -0.4, 1/3, 5? -1 Which is the nearest to 1? (a) -1300 (b) 2/7 (c) -107/7 b What is the closest to 1/10 in 0.19, 4, -1, -2/7, -1/6, -5? 0.19 What is the closest to 9 in 16, 6/11, -117/7? 16 Which is the nearest to -51.9? (a) -5 (b) 4 (c) -8/61 (d) 1 a What is the nearest to -0.26 in 2/15, 9, 1/7, 605? 2/15 Which is the nearest to -30? (a) -15 (b) 3 (c) 0.173 a Which is the closest to -63? (a) 17 (b) 0.2 (c) 6/5 (d) 3 (e) 0.5 b Which is the closest to 0.189? (a) -17 (b) -0.1027 (c) -0.1 c Which is the nearest to -0.278? (a) -0.3 (b) 35/2 (c) 23.7 a Which is the nearest to -0.2? (a) -4 (b) 0.4 (c) 20 (d) 66.18 b Which is the closest to -5/3? (a) 1.7 (b) -27 (c) -14 (d) -0.5 (e) 0.14 d Which is the nearest to 0.34? (a) -20/9 (b) -3 (c) -2/21 (d) -5 (e) -4 c What is the nearest to -13 in 2/71, 1/5, 16/33, 2, -1/5? -1/5 Which is the nearest to 2? (a) -450815 (b) 14.5 (c) 4 c Which is the nearest to 1? (a) -14.441 (b) 0.2 (c) 0.012 (d) 0.3 (e) 1 (f) 5 e What is the nearest to 1 in -0.33, 3, -6946, -15? -0.33 What is the closest to -2 in -14, -0.1, -3/5, -298, -33? -3/5 What is the closest to -393.98 in -3/2, 17, 2/37? -3/2 What is the closest to 1/5 in -2.6, -1/3, -236673? -1/3 What is the closest to 4.1 in 8/19, 307, -3, 4? 4 Which is the nearest to -2? (a) 0.03 (b) -288/59 (c) -4 (d) 0.5 (e) 1 c Which is the nearest to -1? (a) 4/7 (b) -0.3 (c) 0.04 (d) -6/131 (e) 2/9 b What is the nearest to 0.1 in 4, 250/3, 3/7, 9.23? 3/7 Which is the closest to 0? (a) -1/4 (b) -13 (c) -542 (d) 2 (e) -3/7 (f) -0.143 f What is the closest to 3 in 120, 14, 0.2, -4? 0.2 Which is the closest to 2? (a) -376 (b) 432 (c) 3/5 (d) 6 c What is the closest to -1/2 in -0.1, -1/16, 0.2, 30/37, 35/3, -5? -0.1 Which is the nearest to 3/79? (a) 1/3 (b) 1 (c) 449 a What is the nearest to 2 in 5, 1.2, 0.5, -8661, 1? 1.2 What is the nearest to 256 in -3, -8, -9773? -3 What is the closest to -11 in 9/5, -1/8, -8, 1/3, -5? -8 Which is the closest to 0.76? (a) 0.82 (b) 2/149 (c) 2/21 (d) 3 a Which is the nearest to -2/7? (a) -1 (b) -2/13 (c) -6 (d) 3297 (e) 0.6 b Which is the closest to -2? (a) 0 (b) 6/7 (c) 27.43 (d) -1/6 d Which is the closest to 29? (a) 202/31 (b) -2/13 (c) 2/7 (d) 4/9 a What is the nearest to 0.4 in 691, -3, 4, -20/9, -46? -20/9 What is the closest to 2/735 in -2, 0.04, -2085/8? 0.04 What is the nearest to -1.07 in 0.5, -3/4, -8906, 5, 2/15? -3/4 Which is the nearest to -0.1? (a) -2/7 (b) -92 (c) -0.12549 c Which is the closest to -34? (a) 9 (b) -2 (c) 159 b What is the closest to -43 in 586/7, -1, 186? -1 Which is the closest to -0.2? (a) -0.4 (b) -5 (c) -1443 (d) 1/30 (e) -0.1 e Which is the closest to 4? (a) -0.3 (b) 1369 (c) 0 (d) 3 d Which is the closest to 3/2? (a) 5 (b) 254 (c) 3/22 (d) 8 c What is the nearest to 0 in -15/34, 267, 0.3, -6/11, -1? 0.3 Which is the nearest to 167? (a) -18 (b) 0.3 (c) 0.39 c What is the closest to -23.738 in -0.5, -9, -2/11, 0.12? -9 What is the nearest to -0.1 in 3378, 3, 2/73? 2/73 What is the nearest to -1 in -283, -528917, -4? -4 Which is the closest to -0.16? (a) -2/7 (b) 4/5 (c) -1/4 (d) 5 (e) -0.78 (f) 0.4 c Which is the closest to 1/1038? (a) -3 (b) -2 (c) -2/7 (d) -0.3 (e) 7/47 e Which is the nearest to -4/15? (a) 4 (b) -21 (c) -0.028 (d) -0.04 (e) -0.7 d Which is the nearest to -8? (a) 62 (b) -165 (c) 5 (d) 4 d What is the nearest to -20 in 5, -1/4, 3.5, -2, 1? -2 Which is the nearest to 1? (a) -1 (b) -3/4 (c) 2.3 (d) 2 (e) -1867 d What is the closest to 2 in 0.2, 4/515, 24/25, -4? 24/25 What is the nearest to 71/2 in -55, 1/3, 14, 2, 25? 25 Which is the nearest to 3? (a) 19 (b) -0.5 (c) -2 (d) 176243 b Which is the closest to 2453/4? (a) -0.4 (b) 0 (c) 16 (d) -3 (e) -0.1 (f) 2 c Which is the nearest to 1/24? (a) 1/6 (b) -0.4 (c) 5 (d) 0.5 a Which is the nearest to 0.7? (a) 29 (b) -1/4 (c) 0 (d) -2/213 c What is the nearest to -705 in 0.3, 0.01, -47.7? -47.7 What is the nearest to -3245 in -33/10, 4, -7, -4/5, 3/2? -7 Which is the nearest to -5? (a) 141 (b) -2/5 (c) 5 (d) -1 (e) 6/11 (f) 1/2 d What is the nearest to -7 in 18/713, -0.6, -1, 0.1, 1? -1 Which is the nearest to 1? (a) 2/29085 (b) 181 (c) 3 a What is the nearest to -13 in -75, 2, -3/7, 0.57? -3/7 Which is the nearest to 1/6? (a) -1 (b) 22 (c) -7 (d) -0.07 (e) -0.3 (f) -2/133 f Which is the closest to -5? (a) -2 (b) -6.6 (c) -0.2 (d) -0.4 (e) -4/9 (f) -1/2 b What is the nearest to 1 in -79/6, 1, -0.4, -1958? 1 Which is the nearest to -0.101? (a) 2/7 (b) -25.79 (c) -1 a What is the nearest to 0.1 in 1, -7/5, 1.3, 0.08388? 0.08388 What is the nearest to 6 in 3, 0.4, -1/8, -2317? 3 Which is the nearest to -2/3? (a) -0.14 (b) -0.1 (c) 8/7 (d) 70494 a Which is the nearest to 0.1? (a) 538 (b) -3/220 (c) 60 b Which is the closest to 41? (a) 56 (b) 3/5 (c) 270 (d) -1/5 (e) -27 a What is the nearest to 117423 in 2.3, 2/5, -0.8? 2.3 What is the nearest to 3/65 in -830, 3, 1/8, 0.4, -2/7? 1/8 Which is the nearest to 0.1? (a) 3 (b) -147723 (c) -1/3 c What is the closest to 0 in -4, -2/31, 0.4, -1/83, -0.2, -527? -1/83 What is the closest to 1771 in 9, 1/9, -2/5, 4/3, -1/3? 9 What is the nearest to 1 in -332, -330, -10/17, -4? -10/17 What is the nearest to -4/9 in 25, -3, 5, 13, 3, -289? -3 What is the nearest to 0 in 4.9, 0.1, -25663? 0.1 What is the closest to 2 in -3, -4, 32.1, -3/25, 2, -0.2? 2 What is the closest to 0.052 in -2, 4, 0.1, 0.024, 5, 9? 0.024 What is the nearest to -0.1 in 1/36, 3, 1, -1/2, -46.834? 1/36 What is the closest to -1 in 57.82, -1/9, -23? -1/9 Which is the nearest to -0.1? (a) -26 (b) -1 (c) 1/7 (d) -1079 c Which is the nearest to 0? (a) 1/4 (b) 8/1209 (c) 4 (d) 0.15 (e) -10 b Which is the nearest to -676? (a) -5 (b) -0.14 (c) 0.8 (d) -0.7 a What is the nearest to -0.2 in -1, -4, 1490034, -3? -1 What is the nearest to 0.15 in 3, -1, 88, -9, -0.7? -0.7 What is the closest to -4 in 1, 173/312, 3, -4, 0.3? -4 Which is the closest to 7? (a) -50 (b) 26 (c) -3 c What is the closest to -3 in -17/5, 2/1689, 1/4, -0.7? -17/5 What is the closest to 0.3 in 155, -14807, -1/7? -1/7 Which is the nearest to 1? (a) 1/6 (b) -1/5 (c) -7/5 (d) -1/6 (e) -1/8 a What is the closest to 546/661 in 310, 2, 3? 2 What is the closest to -0.1 in -64, 3290, -6? -6 Which is the closest to -70? (a) -4 (b) -1/4 (c) -3 (d) 0.93 (e) -0.1 a What is the nearest to 1/9 in 12467, -0.3, -0.6, 2, -5? -0.3 What is the nearest to 0.04 in -1/7, 86, -36, -13, -2/7? -1/7 What is the closest to -1 in -58, 4, -3, 5, 0.5? 0.5 What is the closest to 0.15 in -0.3,
{ "pile_set_name": "DM Mathematics" }
(-4)/((-216)/9) and 85/284? 284 Let u(x) = x**3 - 6*x**2 + 4*x - 3. Let l be u(5). What is the common denominator of (l/5)/((-108)/(-20)) and 17/3? 27 Let z be (-3)/1 + 6 - -14. Suppose 2*y - 4*r + z = r, y = r - 4. Let d(s) = -31*s**3. Calculate the common denominator of d(y) and -11/3. 3 Let b = -18047/84 - -643/3. What is the common denominator of b and -20/7? 84 Suppose -156 = -3*w + 9*w. Let m = 38 + w. Calculate the least common multiple of 6 and m. 12 Let t = 2421 + -2251. What is the lowest common multiple of t and 340? 340 Let q(c) = 3*c + 26. Let p = -2 - 16. Calculate the common denominator of q(p) and (-23)/3 - (2 - -1). 3 Let l be (4/10)/(15/(-525)). Calculate the common denominator of 5/11 and 1/(-20)*2*l. 55 What is the common denominator of -1/4 and (-14)/(-852)*56/(-20)? 4260 Let n = 57 - 1. Suppose 3*i + n = 11*i. Suppose -4*j + 30 = j. Calculate the smallest common multiple of i and j. 42 Calculate the lowest common multiple of 232/60 + 5 - 6/(-45) and 20. 180 Suppose 2*k + f + 33 = 0, 5 = -3*f + 20. Let h = k - -30. Calculate the smallest common multiple of h and 9. 99 Suppose -96 = -3*f - 10*c + 6*c, 0 = -3*c + 9. Suppose -f*a = -22*a - 18. What is the least common multiple of 27 and a? 27 Calculate the lowest common multiple of (-1)/(-4) - 3/((-12)/59) and 18. 90 What is the lowest common multiple of 39 and 4 + 8/4 + 3? 117 Suppose 14 = -0*p + p - 3*i, -2*i - 10 = -p. What is the least common multiple of 12 and p? 12 Suppose 0 = -2*t + 3*o - 6, t - o + 5*o + 3 = 0. What is the least common multiple of t - (-7 + -2 + 4) and 5/(-20) + 17/4? 4 Let w(b) = 64*b - 556. What is the lowest common multiple of w(9) and 170? 340 Let w = 293/26 + 55/13. Calculate the common denominator of -1 + ((-98)/15)/(-2) and w. 30 Let c = 12 + -3. Let p(w) = -w**2 + 10*w - 5. Suppose 4*v = -3*h + 133, 0*v - 4*v + 135 = h. What is the smallest common multiple of v and p(c)? 68 Let q(d) = -d**3 - 19*d**2 + 15*d - 46. What is the lowest common multiple of 36 and q(-20)? 108 Let y(j) = 4*j - 42. Let n be y(12). Suppose s = 2, n*o - 9*o - s = -101. Calculate the lowest common multiple of o and 18. 198 Let v = -8623/6 - -1450. Let k = -30931/13819 + 8/1063. Let w = -719/130 - k. Find the common denominator of v and w. 30 Let a(d) = 9*d - 33. What is the smallest common multiple of a(7) and 36? 180 Calculate the common denominator of (-42)/231 - 215/(-33) and 31/24. 24 Suppose -6*y = y + 140. What is the common denominator of -15/16 and 2 + -3 + (-222)/y? 80 Let o(f) = 4*f**3 + 2*f - 2. What is the lowest common multiple of 16 and o(1)? 16 Suppose -2*t = 3*j - 172, -3*t + 128 = 2*j - 5*t. Calculate the smallest common multiple of 96 and j. 480 Suppose 2*d = 2*g - 16, -9 + 5 = -2*d. Suppose 25 = 2*m + 7. What is the least common multiple of g and m? 90 Let i = -2558 + 7645/3. What is the common denominator of i and -92/195? 195 Let v = 185573/8758 + -614/29. What is the common denominator of -85/8 and v? 1208 Calculate the common denominator of -49/36 and -11 + 10 + (-510)/(-162). 108 Calculate the common denominator of 10605/(-1904) - (-16)/(-136) and 169/60. 240 Suppose -12*d - 45 = -17*d. Calculate the common denominator of 107/6 and (-12)/15*(-165)/d. 6 Let l be (10 + 3)/(9/(-557)). Let n = -809 - l. Find the common denominator of n and (-1)/7*854/(-12). 18 Suppose 3*j - 7*j + 4 = 0. Let h be 156/(-24) - j/2. Let p(y) = -y**3 - 6*y**2 + 6*y + 5. What is the lowest common multiple of 18 and p(h)? 36 Suppose 0 = -3*m - 9. Let x be 6 + (m - (-3 + 2)). Let b = x - -12. What is the lowest common multiple of b and 18? 144 Let z = 36101/12 - 3005. What is the common denominator of -61/60 and z? 60 Let m = -426 - -9375/22. Let i = 13 + -7. What is the common denominator of 9/i*(-2)/24 and m? 88 Suppose 0 + 4 = 2*i. Suppose -i*r = -8 - 28. Let j = 61 - 51. Calculate the common denominator of r and j. 1 Let m = -414 - -2491/6. What is the common denominator of m and -2/11? 66 Let t(n) = -n**3 - 5*n**2 + 3*n - 12. Let p be t(-6). What is the smallest common multiple of 14 and (-4)/p - (-4 - 156/18)? 84 Suppose -g - 15 = -52. Let m = -1707/7 + 10697/42. Calculate the common denominator of g and m. 6 Suppose -n - 4*n + 70 = 0. Suppose -p = -q + 13, -3*p - 1 = n. Calculate the least common multiple of q and 1/4 - (-110)/8. 56 Suppose -3*j - 11 = -77. Calculate the least common multiple of j and (-3 + (-11)/(-2))*20/5. 110 Let x(z) = 5*z**2 + 6*z + 6. Calculate the lowest common multiple of (-4)/(-10) + 24/15 and x(-1). 10 Suppose 3*j = 15, -4*i - 107 = -3*j - 136. Calculate the common denominator of -47/194 and i. 194 Suppose 22 = 2*h - 0. Suppose -11*z = -0*z - h. Calculate the lowest common multiple of 7 and z. 7 What is the common denominator of -35/3 and (-2)/(-16)*(13734/(-99))/(-7)? 132 Let i = -195769/64 + 3058. Calculate the common denominator of i and (-228)/210 - 4/(-14). 320 Let u(j) be the second derivative of -5*j**3/6 - 8*j**2 + 29*j. Calculate the lowest common multiple of u(-6) and 6. 42 Let d(p) = -10*p + 79. Let c be d(8). Suppose -4*l + 16 = 4*r, -2*l + 6*l - 17 = -3*r. Let q = l - c. Calculate the lowest common multiple of 2 and q. 6 Let y = 1157/5 + -6397/30. What is the common denominator of y and -2 - -2 - (-39)/108? 36 Let u = -2598/5 - -35817/70. What is the common denominator of 145/84 and u? 84 Suppose 13 = d + 5*b - 9, 2*d + 3*b - 37 = 0. Calculate the lowest common multiple of 15 and d. 255 Let o(r) be the second derivative of r**3/6 - 4*r**2 - 4*r. Let v be o(9). Suppose 5*n - 59 - v = 0. What is the least common multiple of n and 18? 36 Suppose 20*o - 240 = 4*o. Let x(b) = -b**3 + b**2 + 5*b + 3. Calculate the least common multiple of o and x(-3). 120 Let z(u) = -2*u - 1. Let v be (-6 - -8)*(-2)/(-4). Let t be z(v). Calculate the least common multiple of 8 + -1 + t + 3 and 11. 77 Let n = -1435 + 1585. Calculate the lowest common multiple of n and 200. 600 Let u = -150 - -853/6. Find the common denominator of u and 103/18. 18 Let j(s) = 2*s**2 - 26*s + 16. Let m be j(12). Calculate the common denominator of (-2)/(-12) + 22/m + 0 and (-557)/(-30) - 4/10. 12 Let u be (-4)/(12/119) - 5/15. Let t = u - -49. Calculate the smallest common multiple of t and 3. 9 Let m be 32/((-1)/7*(-12 + 1)). Let o be (-226)/(-10) - 3/5. Let q = m - o. What is the common denominator of 9/10 and q? 110 Suppose 16 = 6*h - 8. Suppose h*a - 40 = -24. Calculate the least common multiple of a and 36. 36 Let m = 2/6621 + -351001/291324. Find the common denominator of 119/36 and m. 396 Suppose -60*b + 51*b + 2304 = 0. What is the lowest common multiple of 4 and b? 256 What is the common denominator of 18/55 and 81/(-120) + (5 - 7) - -2? 440 Calculate the least common multiple of 42 and ((11 - 8) + -2)*3. 42 Calculate the common denominator of 69/64 and ((-6)/36)/(48/136). 576 Find the common denominator of -137/48 and ((-28)/10)/(768/(-1360)). 48 Suppose -59*m + 64*m = 60. Let b be (15/9)/((-1)/3). What is the least common multiple of 82/10 + b/25 and m? 24 Suppose -7*t = 50 - 71. Let v = 9 - 6. Calculate the smallest common multiple of t and v. 3 Let x = -3847015077783499/1898606669844100 - 1794/14153918815. Let s = x + -3/35300. What is the common denominator of s and 70/3? 114 Let k be (0 + -3 + -3)/(-3). Find the common denominator of k - (0 + (-94)/28) and -97/6. 42 Suppose -2*b = 2*b. Suppose b = -2*u - 3*u + 5. Suppose -2*d + 5 = -u. What is the least common multiple of 1 and d? 3 Let y = -284 + 290. What is the smallest common multiple of y and 41? 246 Let x be (-1)/2475*(-86620)/24. Let p = -1/270 + x. What is the common denominator of p and -25/2? 22 What is the common denominator of 38 and (-16)/(-40)*5*11/(-502)? 251 Let w = 2/17011 + -799565/408264. Find the common denominator of 93/2 and w. 24 Suppose 10*z - 5*z - 7 = -3*i, 22 = -2*i + 2*z. Let j = i + 13. Suppose -7*r + 5*t = -5*r - 39, 0 = -4*t - 20. Calculate the lowest common multiple of j and r. 7 Let c = -745 - -835. What is the smallest common multiple of 30 and c? 90 Let q be 9 + 0 - 1*-1. Let u be (-1975)/38 + 4/q. Let m = -788/19 - u. Find the common denominator of -131/6 and m. 30 Let q = 1 + 2. Calculate the common denominator of ((-2)/(8/(-141)))/(18/4) and -23*(38/12 - q). 6 Let r
{ "pile_set_name": "DM Mathematics" }
ding order. -5, 2, 3, 28, 385 Put -4, 2, 5, -194, -1, 30, -10 in increasing order. -194, -10, -4, -1, 2, 5, 30 Sort -2, -5, 36, 5, -1, 347 in descending order. 347, 36, 5, -1, -2, -5 Put -1, -8501, -1357 in increasing order. -8501, -1357, -1 Sort 0, 8, 67, 4, 2, -4, -95 in increasing order. -95, -4, 0, 2, 4, 8, 67 Sort -4, 5940832, -3 in descending order. 5940832, -3, -4 Put 5/6, -3/2, 3, -0.2, -88, -1.63 in decreasing order. 3, 5/6, -0.2, -3/2, -1.63, -88 Put -1107, -3/5, 1, -3, 3, 46 in increasing order. -1107, -3, -3/5, 1, 3, 46 Sort -59, 334, 402, 0.1 in descending order. 402, 334, 0.1, -59 Sort 5, -14, 74, -31, 14, -2 in descending order. 74, 14, 5, -2, -14, -31 Put 1, -4/5, 39, 0.4, 0.5, -4, -7 in decreasing order. 39, 1, 0.5, 0.4, -4/5, -4, -7 Sort -2, 52012, 309 in descending order. 52012, 309, -2 Sort 1, 6, -16137026 in descending order. 6, 1, -16137026 Put -4369, -686, 7 in descending order. 7, -686, -4369 Put 4, -5, -7, 94925, -1, -4 in increasing order. -7, -5, -4, -1, 4, 94925 Sort 465470191, 5, 0.1 in decreasing order. 465470191, 5, 0.1 Sort 15.9, -21, 1/8, 5, 4562 in ascending order. -21, 1/8, 5, 15.9, 4562 Put -53567.965, 3, -0.1, -2 in descending order. 3, -0.1, -2, -53567.965 Put -6, -3, -4, -1, 215, -5, 3714 in descending order. 3714, 215, -1, -3, -4, -5, -6 Sort 0, 0.5, 3/16, 2/55, 2/47, -3 in ascending order. -3, 0, 2/55, 2/47, 3/16, 0.5 Put 0.1, 187371, 0.3, -315 in decreasing order. 187371, 0.3, 0.1, -315 Sort -4, -21, 2347.2, -73 in decreasing order. 2347.2, -4, -21, -73 Put -12, 4, 5, -1, -99, 21, -3 in decreasing order. 21, 5, 4, -1, -3, -12, -99 Sort 1162798, -0.2, 0.1, 3 in descending order. 1162798, 3, 0.1, -0.2 Sort -51, 3, -1910, -3, 1, 8 in descending order. 8, 3, 1, -3, -51, -1910 Put 3, 36, 21, -1, -131, 5 in descending order. 36, 21, 5, 3, -1, -131 Sort 0, 135, -20, 4, -2, -8, -83 in increasing order. -83, -20, -8, -2, 0, 4, 135 Put -3/2, -0.785894, -0.8 in increasing order. -3/2, -0.8, -0.785894 Sort -1/3, -0.2, -12/11, 1.9, 1294 in decreasing order. 1294, 1.9, -0.2, -1/3, -12/11 Put 0, 2, -11, -20, 4, -22, -3 in increasing order. -22, -20, -11, -3, 0, 2, 4 Sort -14, 3, 8, -50, 5, -9, 2. -50, -14, -9, 2, 3, 5, 8 Put 3, 2, -351774 in descending order. 3, 2, -351774 Sort 16.88026, -4, 49 in descending order. 49, 16.88026, -4 Sort 3, -4, -8905, -3, 7 in decreasing order. 7, 3, -3, -4, -8905 Put -4/9, -4/391, 1, 5.8, -1 in descending order. 5.8, 1, -4/391, -4/9, -1 Put -0.11, 4, 53/10, 10/13 in increasing order. -0.11, 10/13, 4, 53/10 Sort -3100, 227, 44 in increasing order. -3100, 44, 227 Sort 0.1, 464, 0.21, 4, 2/73, 0.6 in descending order. 464, 4, 0.6, 0.21, 0.1, 2/73 Sort 0.3, -1/934, -1, -1.5, -62 in increasing order. -62, -1.5, -1, -1/934, 0.3 Sort -0.1, -6, -1, -399266, -1/6 in ascending order. -399266, -6, -1, -1/6, -0.1 Put 33, 822, 63 in ascending order. 33, 63, 822 Put -4, 5, 7, -2, -19631 in increasing order. -19631, -4, -2, 5, 7 Sort -0.1996, 0.5, 0.0595 in descending order. 0.5, 0.0595, -0.1996 Sort -0.1, 6, -2/131, 0.3, -369 in decreasing order. 6, 0.3, -2/131, -0.1, -369 Put -169, 4, -3699 in increasing order. -3699, -169, 4 Put 0.09, 146361, -0.04 in increasing order. -0.04, 0.09, 146361 Sort 10, -45955, -4, 17/4 in decreasing order. 10, 17/4, -4, -45955 Sort -17, 0, 342181, -1. -17, -1, 0, 342181 Put 0, -1, 49392 in decreasing order. 49392, 0, -1 Sort 111, -0.218, -1.1, -3 in decreasing order. 111, -0.218, -1.1, -3 Sort -0.4, 0, 121, 1799 in decreasing order. 1799, 121, 0, -0.4 Put -12, 11, 4, 66, -2 in descending order. 66, 11, 4, -2, -12 Put -5, -87, 13754 in descending order. 13754, -5, -87 Put -24, -18, -4/5, -167110 in increasing order. -167110, -24, -18, -4/5 Put -6.9, 94, -10, 6/11 in increasing order. -10, -6.9, 6/11, 94 Put -207977, -4, 10 in descending order. 10, -4, -207977 Put -5, -2, -4, -62, 10168 in decreasing order. 10168, -2, -4, -5, -62 Put 9773, -196, -3.6 in descending order. 9773, -3.6, -196 Sort -1.431, 0.2, 1/3, 166 in increasing order. -1.431, 0.2, 1/3, 166 Put -1/138614, -21, -1, 1/9 in increasing order. -21, -1, -1/138614, 1/9 Sort -31226, 1, -19 in descending order. 1, -19, -31226 Sort -41/4, -0.15, -0.1, 3983/10 in descending order. 3983/10, -0.1, -0.15, -41/4 Sort 39, 233331, 5 in descending order. 233331, 39, 5 Sort -1/10, -4/11, 0, 0.0476 in increasing order. -4/11, -1/10, 0, 0.0476 Sort -2, -23, 11, 2, -20, -3 in decreasing order. 11, 2, -2, -3, -20, -23 Put 2, 4, 103, 10, -21, 5 in decreasing order. 103, 10, 5, 4, 2, -21 Put -3313, 24, -3, 33 in decreasing order. 33, 24, -3, -3313 Put -2/1497, -23, 0.1 in decreasing order. 0.1, -2/1497, -23 Put -390, -1/5, -3, 5/6, -6.9 in decreasing order. 5/6, -1/5, -3, -6.9, -390 Put 5, -1383, -2, 4, -405 in descending order. 5, 4, -2, -405, -1383 Put -3181, 0, -35, -3 in ascending order. -3181, -35, -3, 0 Sort -5, 606, 222, 2, -59 in increasing order. -59, -5, 2, 222, 606 Sort -4497, -2, -452 in descending order. -2, -452, -4497 Put -3/7, -4, -3, 158.365 in descending order. 158.365, -3/7, -3, -4 Put 6/7, -9, 13, 3, -90, -3/2 in descending order. 13, 3, 6/7, -3/2, -9, -90 Put -2320, 4, -1526, 5, -5, -3 in decreasing order. 5, 4, -3, -5, -1526, -2320 Sort 6, -6495, 7, -10, -3 in decreasing order. 7, 6, -3, -10, -6495 Sort 11, 0, 13179, -13/6, 5 in descending order. 13179, 11, 5, 0, -13/6 Sort -1, 37, 0, 2, 5, -4, 34 in decreasing order. 37, 34, 5, 2, 0, -1, -4 Put -7, 16, -2, 1, -6, -26, 4 in decreasing order. 16, 4, 1, -2, -6, -7, -26 Put -0.4, -0.5, -1549, 2/1203 in decreasing order. 2/1203, -0.4, -0.5, -1549 Put -1, 1986242, -1/8 in descending order. 1986242, -1/8, -1 Put 11, -3, 13, -51517, 3 in decreasing order. 13, 11, 3, -3, -51517 Sort -5, 3, 0.0917282, -2, 1/5 in decreasing order. 3, 1/5, 0.0917282, -2, -5 Sort 26278, 2, -22, -0.5 in descending order. 26278, 2, -0.5, -22 Put -264, -1, 1, -3, 15 in descending order. 15, 1, -1, -3, -264 Put -2/3, -0.2, 1/6022, 2/17, -2 in descending order. 2/17, 1/6022, -0.2, -2/3, -2 Sort 2, 0, -4, 3, -1, 243563. -4, -1, 0, 2, 3, 243563 Sort -0.5, 1/2, -2/689, 0.1311, 4/3. -0.5, -2/689, 0.1311, 1/2, 4/3 Sort -2/11, 2, -1, -13995, 13 in descending order. 13, 2, -2/11, -1, -13995 Put 2409204, -2, -3 in ascending order. -3, -2, 2409204 Sort -2096.7, 18.4, -9, 3 in descending order. 18.4, 3, -9, -2096.7 Sort -0.3, 1, 2, 85/59, -15, -5 in decreasing order. 2, 85/59, 1, -0.3, -5, -15 Put 10, -5, -4, 9, 37, 17, 5 in ascending order. -5, -4, 5, 9, 10, 17, 37 Put -2/10887, 1701, 3/7 in decreasing order. 1701, 3/7, -2/10887 Put 246, 0, -1961, 4 in ascending order. -1961, 0, 4, 246 Put -1/4, -0.4, -231/25, 0.04 in ascending order. -231/25, -0.4, -1/4, 0.04 Sort 16, -0.53, 4, -4/7, 0.3. -4/7, -0.53, 0.3, 4, 16 Sort -1, 2, 10, 64, 6, 1. -1, 1, 2, 6, 10, 64 Put 96/227, -1/11, 2, 1/9, -0.07 in increasing order. -1/11, -0.07, 1/9, 96/227, 2 Sort -1, 10, 31, -5, -2 in increasing order. -5, -2, -1, 10, 31 Sort -116, 2, 0, 5861, 9. -116, 0, 2, 9, 5861 Sort -2, -4, 55, -14795, -1, -3 in descending order. 55, -1, -2, -3, -4, -14795 Put 9, 3, 2, -104, 5, -3, -5 in descending order. 9, 5, 3, 2, -3, -5, -104 Sort -6, 80, -23630. -23630, -6, 80 Sort 12, 3, 69, 1, -5, -4 in increasing order. -5, -4, 1, 3, 12, 69 Sort 0.06, -2872240, 1/2 in descending order. 1/2, 0.06, -2872240 Put -5, -7, 0, -3236, -2/21 in ascending order. -3236, -7, -5, -2/21, 0 Sort -34, -1448274, 1. -1448274, -34, 1 Sort -1, 5, 2, 47, -610, 62 in decreasing order. 62, 47, 5, 2, -1, -610 Put 71, -4054/97, -2 in descending order. 71, -2, -4054/97 Sort 4/5683, 0.09, -3. -3, 4/5683, 0.09 Sort -5, -0.3, 4, 0.4, 19034 in decreasing order. 19034, 4, 0.4, -0.3, -5 Put 3.4, 1046, 0.3, 3/38, 3, -3 in decreasing order. 1046, 3.4, 3, 0.3, 3/38, -3 Put 4, -2743, 0, -0.013, 2/17 in descending order. 4, 2/17, 0, -0.013, -2743 Sort -220486, -0.4, -2/3, 0.9 in decreasing order. 0.9, -0.4, -2/3, -220486 Sort -3564476/3, 5, -0.6 in ascending order. -3564476/3, -0.6, 5 Sort -60, 10/7, 2, 4, -81.9 in descending order. 4, 2, 10/7, -60, -81.9 Sort 5, 18, 29, 105, -4 in descending order. 105, 29, 18, 5, -4 Put 4, 115, -181, -3/44 in descending order. 115, 4, -3/44, -181 Sort 22215/29, -907, -0.3 in decreasing order. 22215/29, -0.3, -907 Put -3, 4, -4, 2, -1
{ "pile_set_name": "DM Mathematics" }
ided by -10255? 3 What is -5 divided by -1664? 5/1664 What is 247 divided by -4432? -247/4432 -1409177 divided by -201311 7 What is -81335 divided by -5? 16267 What is -654705 divided by 1? -654705 Calculate 20254 divided by -247. -82 Calculate 327932 divided by 1. 327932 0 divided by 26005 0 45 divided by 393 15/131 Calculate -2 divided by 645003. -2/645003 -28 divided by 1136 -7/284 Calculate 175004 divided by -134. -1306 -9528 divided by -1 9528 What is 55839 divided by 3? 18613 32 divided by -5076 -8/1269 Divide -2 by -448094. 1/224047 What is 227166 divided by 6? 37861 Divide 22 by -16374. -11/8187 Calculate -907508 divided by -453754. 2 What is 290 divided by -394? -145/197 -5 divided by -511903 5/511903 Divide 348126 by -116042. -3 Calculate 2165874 divided by -1. -2165874 Calculate -118 divided by -6815. 118/6815 What is -11076 divided by 923? -12 What is -515440 divided by 6? -257720/3 791693 divided by -7 -113099 Divide 21 by -518. -3/74 103141 divided by -2 -103141/2 Calculate 112250 divided by 22450. 5 What is 4 divided by 135667? 4/135667 18744 divided by 142 132 Calculate 3395181 divided by 1. 3395181 Calculate -714480 divided by -780. 916 Divide -52493 by -3. 52493/3 Divide -292640 by 58528. -5 What is -502 divided by -27? 502/27 Divide 271 by 2283. 271/2283 Calculate -71685 divided by -14337. 5 What is 12354 divided by -87? -142 -33568 divided by 33568 -1 What is 924042 divided by -898? -1029 Divide 0 by -36617. 0 Calculate 0 divided by -939017. 0 Calculate -97332 divided by 1. -97332 595 divided by -1305 -119/261 What is -231268 divided by -19? 12172 What is -5234973 divided by -1? 5234973 What is -1507801 divided by 1103? -1367 What is -32085 divided by 23? -1395 What is -13586 divided by -13586? 1 Divide 5 by 99986. 5/99986 Divide 6 by -17460. -1/2910 What is 319998 divided by 319998? 1 What is 1494 divided by 26? 747/13 Calculate 2459 divided by -101. -2459/101 Divide -1569618 by -6. 261603 What is 663343 divided by -3? -663343/3 Calculate -2498 divided by 2. -1249 Divide -3442 by -198. 1721/99 What is -460 divided by -359? 460/359 -6168 divided by -24 257 Divide 690148 by -4. -172537 Calculate -315742 divided by -14. 22553 What is -9 divided by 43745? -9/43745 Calculate 38382 divided by 6. 6397 Calculate -45728 divided by -8. 5716 Calculate -1731340 divided by 26. -66590 What is -4 divided by 5358? -2/2679 -1309 divided by -255 77/15 Calculate 4345 divided by -6. -4345/6 411252 divided by -4782 -86 Divide -4327131 by 3. -1442377 Calculate 22601 divided by 4. 22601/4 Calculate 4703 divided by 19. 4703/19 Divide 11420 by 2284. 5 Calculate 2 divided by -755697. -2/755697 Calculate 0 divided by 5783. 0 30306 divided by 3 10102 What is 14 divided by -67763? -14/67763 -6 divided by 30650 -3/15325 Divide 0 by -4790. 0 What is -1662144 divided by -4? 415536 -3 divided by -18411 1/6137 Divide 44915 by 2. 44915/2 What is -128 divided by -1403? 128/1403 Divide 34305 by 60. 2287/4 What is 79050 divided by 75? 1054 Calculate 6711 divided by -22. -6711/22 -55266 divided by -61 906 -7 divided by 17620 -7/17620 2945879 divided by -2533 -1163 Calculate -506256 divided by 8. -63282 What is 2226204 divided by 18? 123678 Calculate -32967 divided by 13. -32967/13 What is 240 divided by 7332? 20/611 What is 332 divided by 8086? 166/4043 -1 divided by -20293 1/20293 Divide 4 by -1135. -4/1135 What is 100355 divided by 18? 100355/18 Divide 65249 by -919. -71 What is 7 divided by -2219? -1/317 2413129 divided by -4 -2413129/4 Calculate -181324 divided by 2. -90662 Calculate -5 divided by 32792. -5/32792 What is -13 divided by -25581? 13/25581 Calculate -40689 divided by -1507. 27 Calculate 0 divided by 530430. 0 3 divided by -25156 -3/25156 0 divided by -55747 0 7858 divided by -3929 -2 -7302 divided by 2 -3651 Divide 134940 by -33735. -4 Calculate -2 divided by -17164. 1/8582 What is -1226688 divided by 32? -38334 Divide 320 by -9742. -160/4871 Divide 31556 by -161. -196 What is 444 divided by 2? 222 What is -30024 divided by -15012? 2 Calculate 212352 divided by -2. -106176 Calculate 14394 divided by 2. 7197 What is -612984 divided by -3? 204328 What is 197659 divided by 17? 11627 Calculate 2703594 divided by 901198. 3 -7 divided by -78540 1/11220 What is -33241 divided by 1? -33241 Divide 5 by -45457. -5/45457 What is -4164795 divided by 5? -832959 -12 divided by -798 2/133 Calculate 2366172 divided by 1. 2366172 Calculate -234585 divided by -13. 18045 What is -242753 divided by 3? -242753/3 Divide 0 by -1780. 0 What is -214575 divided by 14305? -15 What is 1 divided by -2911? -1/2911 Divide -3375 by 5. -675 Calculate -347 divided by 7731. -347/7731 -112041 divided by 633 -177 Divide -17046 by 1. -17046 42435 divided by -205 -207 Divide 86346 by -28782. -3 What is 9408 divided by -672? -14 3 divided by 160502 3/160502 -1932635 divided by -2 1932635/2 Calculate -187915 divided by 2065. -91 Divide 199434 by -33239. -6 Calculate -494965 divided by 5. -98993 Divide -1280 by 575. -256/115 Divide -3 by -582. 1/194 What is -17706 divided by 227? -78 Divide 118570 by 59285. 2 Calculate -194508 divided by 32418. -6 212 divided by 10 106/5 Divide -30 by -1136. 15/568 What is 1190475 divided by 117? 10175 Divide -45 by 248. -45/248 What is 44180 divided by 11045? 4 Divide -455516 by 1. -455516 Calculate -53568 divided by -1. 53568 Calculate 29862 divided by 79. 378 Calculate 435 divided by 5011. 435/5011 51060 divided by 1702 30 Divide 150220 by -4. -37555 What is 14 divided by 567? 2/81 What is 168696 divided by -44? -3834 -63000 divided by 5 -12600 Divide 3 by -2553. -1/851 0 divided by 9524 0 336186 divided by 336186 1 209 divided by 1989 209/1989 Divide 506115 by -2. -506115/2 Calculate -9666 divided by 6. -1611 What is -230535 divided by 327? -705 What is 332210 divided by 2? 166105 -38 divided by -324 19/162 0 divided by 15734 0 112375 divided by -29 -3875 Divide 16076 by -13. -16076/13 What is 33 divided by -154550? -3/14050 Divide -48 by 456. -2/19 What is -39660 divided by 1? -39660 -3 divided by -687784 3/687784 What is 42 divided by -3458? -3/247 Calculate 1862775 divided by -2435. -765 What is 4 divided by 12432? 1/3108 -2268 divided by 5 -2268/5 What is 4725 divided by -4725? -1 What is 232 divided by 69? 232/69 Calculate -15728 divided by -983. 16 886528 divided by -3 -886528/3 -1304815 divided by -1601 815 What is -426705 divided by -28447? 15 Divide 47114 by 2. 23557 Calculate -131557 divided by -131557. 1 Divide -15317 by 10. -15317/10 What is -94360 divided by -18872? 5 Divide -2186448 by -2706. 808 What is -46 divided by -2552? 23/1276 Divide 212 by 1275. 212/1275 Calculate 7950 divided by -159. -50 59744 divided by -7468 -8 Divide -7023 by 4. -7023/4 Calculate -242288 divided by -304. 797 -563596 divided by 22 -25618 Calculate 2 divided by 222662. 1/111331 5265 divided by -49 -5265/49 Divide -38386 by 2258. -17 Calculate -317125 divided by -63425. 5 Divide -168786 by 18. -9377 Calculate -24 divided by 716. -6/179 What is -323000 divided by -161500? 2 Calculate -649 divided by 213. -649/213 263814 divided by -3 -87938 -11913 divided by -4 11913/4 Divide -443300 by -130. 3410 5732247 divided by -3 -1910749 Calculate 6551 divided by 4. 6551/4 Divide -6 by -9989. 6/9989 Calculate -5 divided by 8850. -1/1770 What is -13986 divided by 54? -259 Divide 6650 by 950. 7 8056416 divided by -6 -1342736 What is -3 divided by 18237? -1/6079 What is 100 divided by -133? -100/133 What is 351670 divided by 1? 351670 Calculate -369900 divided by -540. 685 Divide 52 by -6803. -52/6803 151856 divided by 4 37964 Divide 112700 by -56350. -2 -28881 divided by 3209 -9 Calculate -469352 divided by 1. -469352 Calculate 1 divided by 1156382. 1/1156382 Divide -31520 by 2. -15760 What is -743 divided by 23? -743/23 156046 divided by 3806 41 Divide 1160 by -10. -116 298814 divided by -53 -5638 Calculate 8645 divided by 1. 8645 1167720 divided by 526 2220 Calculate 2240665 divided by 5. 448133 Calculate 6665 divided by -6. -6665/6 Calculate -3706 divided by 15. -3706/15 Divide 354600 by -1. -354600 Calculate 2888 divided by -8. -361 Divide 4922 by -152. -2461/76 -632352 divided by -158088 4 Calculate 2637984 divided by 4. 659496 Calculate 120342 divided by -1203
{ "pile_set_name": "DM Mathematics" }
t x = -197 + 200. Solve -x*p + b = 11, 2*p - 3*p + b = 1 for p. -5 Let z(k) = k**2 - 7*k - 34. Let o be z(13). Suppose -o = 22*u - 26*u. Let p(j) = -j - 2. Let n be p(-4). Solve -8 = n*t, 0 = 5*d - 4*t - 20 - u for d. 3 Let x(k) = k**3 - 7*k**2 + 4*k + 8. Let n be x(6). Let o be (0 - -3)/((-6)/n). Solve -4*q - 6 = 2*y, -22 = -2*y + o*q + q for y. 5 Suppose 3*g + 31 = 2*t, -10 = -5*t - 4*g + 56. Suppose 3*f + 2*p = t, -p - 2 + 0 = -3*f. Solve 14 = -5*o - 2*i, f = 6*o - 2*o - 5*i for o. -2 Suppose -4 - 2 = -2*s. Let f be (28/8 - 0)*6. Let n be (f/(-18) - (-1)/2)*-3. Solve 2*q + 0*t - 3*t - 5 = 0, s*q = n*t for q. -2 Suppose 53*n - 36 = 44*n. Solve -9 = 3*y - n*f, -4*y + 6*y + 5*f - 17 = 0 for y. 1 Let o = -17 - -39. Let k = 26 - o. Solve k*n - 3*l - 24 = 0, -n - 5*l = 12 + 5 for n. 3 Suppose 0 = 4*k - 1 + 161. Let s = 45 + k. Solve -s*l = -5*t + 10, -l = -4*t + 2 - 3 for t. -1 Let b = -2 - -4. Suppose -b*l + 11 - 3 = 0. Let v = -76 - -80. Solve 5*o = -3*p + 18, -4*p - v = -l*o + 4 for p. 1 Let o(a) = 11*a + 45. Let y be o(-4). Let k be (-10)/y*(-5)/25. Solve 5*r = 2*f + r + 10, -r = -f - k for f. 1 Let u be (-1)/(((-28)/(-70))/((-8)/10)). Solve -5*h + 2*r = -u*r + 2, -2*h = -2*r for h. -2 Suppose 14*p = 10*p + 60. Suppose t = -13 + p. Solve 0*d - t*d + o - 9 = 0, 4*d - 3*o = -23 for d. -2 Let k = -2 + 5. Suppose k*t - 15 = 0, 5*v + 4*t - 30 = 3*t. Suppose 3*r - 43 = -13. Solve -v*o + r = -u, 4*o - 4 - 20 = 4*u for u. -5 Let o = 9 + 6. Suppose -2*h + o + 11 = 4*k, 4*h - 28 = -2*k. Solve -5*d + k = 3*i, -i - 2*i = -4*d - 13 for i. 3 Suppose 21*n - 151 = 22*n. Let u = n + 153. Solve u*h = -c, -5*c + c = 2*h + 6 for c. -2 Let i(l) = l**2 - 8*l - 5. Let s be i(7). Suppose -2*z - 5*j = 44, 3*z - 3*j + 43 = j. Let f = s - z. Solve -9 = -2*v + h, v = -0*v - f*h - 23 for v. 2 Suppose -4*j + 12 = 6*y - 10*y, -10 = -2*j. Solve -5*a = -y*a + 3*v + 6, 0 = v for a. -2 Let y(r) = r**3 - 8*r**2 + 6*r - 33. Let b be y(8). Solve -a = a - 5*n - 6, 3*n = -5*a + b for a. 3 Let w(s) = -22*s + 2. Let q be w(-1). Let p = 29 - q. Suppose 0*c + p*i + 5 = 2*c, 5*i - 45 = -3*c. Solve -3*t = -2*v - c, -2*v + 4 = 5*t + v for t. 2 Let g(u) = -9*u - 10. Let l be g(-6). Suppose 0 = a - 3*a + l. Suppose z = -5*j - 0*z + 24, -4*j + 2*z = -a. Solve 2*p - 13 = p - j*d, 5*p = 2*d + 11 for p. 3 Suppose -j = 3*j - 16. Suppose -2*c - 60 = -u, -5*u + 270 = j*c - 16. Suppose -u = x - 3*x. Solve 0 = 4*y + 4*n - 28, -2*n - x = -5*y - 5*n for y. 4 Let a = 12 - 2. Let i(t) = -t**2 + 18*t - 14. Let g be i(17). Suppose y = 3*v - 9, 2*y - a = -g*v + 2*v. Solve -3*l + 5*q = 3, 28 = l + y*l + 4*q for l. 4 Let z be (-1 + 4 + -4)*-86. Let n = z - 83. Solve -5*y - 24 = 2*j, j - n*j - 16 = 3*y for y. -4 Let i be -2*(7/2)/7*6. Let s be (3 + -1)*1 + i/(-2). Suppose -6*c = -2*c. Solve 4*p = -s*x - 8 - c, -x + 8 = -4*p for x. 0 Let u be 2/1 + 0/(-2). Suppose u*q = 4*m - 10, -3*m + 3 = -3*q - 0*m. Suppose -q*r = -3 - 12. Solve 6 = 2*f + x, r*f = 6*x - x - 15 for f. 1 Let m(p) = -2*p**3 - 3*p**2. Let g be m(-2). Suppose s - g*s = -v + 15, v = -3*s - 3. Let c = -4 + v. Solve -5*h - c*r = 2, 7*h - 3*h - 4*r - 4 = 0 for h. 0 Suppose -3*x = -2*v - 2, 3*x - 20 = -v - 3. Solve -c - 7 = -2*d, -4*c = -4*d - v*c + 11 for d. 3 Let j be (-1 - -4) + 8 + -5. Let w = 483 + -479. Solve -w*s + 9 = -5*q + 1, -3*s + j = -5*q for s. 2 Let u be -1 + 33/3 + 5/(-1). Solve 3*b + 5*f + 15 - u = 0, 2 = 5*b - f for b. 0 Let u(b) = -22*b - 239. Let w be u(-11). Solve -s = 4*j + 23, -j = -4*s + 2*j + w for s. -3 Suppose 7*v = v + 54. Suppose -12 = -v*y + 3*y. Solve 0 = 5*o + y*i - 2, 4*o + o + 4*i + 6 = 0 for o. 2 Suppose -3*p + 64 = 4*u - 9*u, -5*u - p = 52. Let i = 208 + -219. Let t = i - u. Solve -16 = -5*x - 4*h, 5*x + 0*x + 2*h - 18 = t for x. 4 Let z be (-1)/(((-1)/3)/((-10)/(-3))). Solve -z = -5*u, u = -3*x + 3*u + 2 for x. 2 Suppose -7*b + 4*b = -6. Suppose 4*v = -5*f + 7 + 13, b*v - 10 = f. Solve -v*j - 6 + 1 = 5*w, j = 5*w + 5 for j. 0 Let v(n) = -n**3 + 9*n**2 + 12*n - 13. Let f be v(10). Let j be -8*(2 + 10/(-4)). Solve j*h - g - f = 12, -5*h - 5*g = -30 for h. 5 Let b = -282 - -287. Solve -3*x = -2*q + 19, q - b*x + 5 = 5*q for q. 5 Suppose -404 = -18*a - 350. Solve 5*u - a*r = -37, 0 = 2*u + u + r + 11 for u. -5 Let p(o) = -2*o**3 + 14*o**2 - 14*o + 14. Let w be p(6). Suppose -2 + 12 = 4*k - 2*q, -2*k - 2*q = -w. Solve 16 = k*n - 4*t, 3*n + t = -n + 5 for n. 2 Let s(u) = -u**3 - 15*u**2 - 15*u - 10. Suppose -k = -0*k - 3, 3*b = -k - 39. Let j be s(b). Solve -3*w = -m + 2*w - 11, -w = j*m - 19 for m. 4 Let o = -1017 - -1018. Solve 3*r - o = -13*q + 17*q, 5 = -4*q - r for q. -1 Suppose -t = 2*k + t + 4, 5*k + 16 = t. Let a(p) = 16*p - 5. Let i be a(k). Let c be (-2)/(-6)*(-2 - i). Solve -r - 4*w + 10 = -0*r, 5*w = r + c for r. -2 Suppose -3*y = -75 + 21. Suppose -y = -3*g + 2*g. Solve -5*a - b = -7 + 21, 5*b + g = a for a. -2 Suppose 0*g + 1 = -g. Let l be ((-6)/(-2))/(-1) - g. Let k be l/(-4) + (-17)/(-2). Solve d + o - 3 = 0, -4*d + k = -d - 5*o for d. 3 Let y be 1 - 1 - 165/(-33). Solve 5*k = -d + 10 + 4, -k + y = -2*d for d. -1 Suppose 48 = 31*i - 15*i. Let h(k) = -3*k - 3. Let q be h(-2). Solve 0 = -5*z - q*t - 8, i*z + 3*t = -t - 7 for z. -1 Suppose -3 = -h, -u - 41 = -2*h + 4. Let p = u - -55. Solve 4*l = -4*d + p, -2*d + 4 + 4 = -3*l for l. 0 Suppose 8*y - 8 = 16. Suppose 3*j + 12 = 3*i, y*j + 3*i - 14 = -2. Suppose j = -8*s + 3*s. Solve -2*a - 13 = -3*k, s = -4*a - 5*k - 1 + 8 for a. -2 Let q be (15 - -1)/8 - 0. Solve -q*z = f - 1 + 14, -5*f = 3*z + 37 for f. -5 Let q(u) = -u**2 + 3*u + 1. Let p(m) = -m**2 + 5*m + 8. Let j be p(6). Let r be q(j). Suppose 8 + 4 = r*y. Solve -5 - 3 = -y*v + 3*k, -3*k + 12 = 0 for v. 5 Suppose 4*s = 3*b - 15, 0 = -2*b - 0*s + 3*s + 10. Suppose b*t + 5 = 25. Solve -t*x - 26 = -2*g, -3*x - 29 = -3*g - 2 for x. -4 Suppose -4*m + 173 = -5*d, 3*m - 5*d - 220 = -2*m. Suppose -12*s + 13 = -m. Solve h = 4*h - g + 11, -3*g = s*h + 23 for h. -4 Let s = 386 - 382. Solve -p + b = 0, -2*p + 3*p - 9 = s*b for p. -3 Let u be -1*(0/(-9))/((-1)/(-1)). Suppose -f + 0*f = 0. Suppose 3*z + 4*q - 10 = u, 2*z = -f*q + 3*q + 1. Solve 2*t - 2 + 12 = 4*w, -3*w - z*t = 3 for w. 1 Suppose -12 = 2*i + 2*i - 2*j, 5*i + 4 = -3*j. Let z = i - 5. Let w be z/28 + 50/8. Solve -f - 3*b + 8 = -w*f, 3*b - 1 = -2*f for f. -1 Let c(f) = 4 + 7 + 5*f - 2 - 14. Let a be c(2). Solve -2*z + 0*b = 2*b - 4, -2*z = a*b - 10 for z. 0 Let u(z) = -z**2 - 24*z. Let l be u(-24). Solve l = -o + k + 7, 3*o - k = -5*k + 7 for o. 5 Suppose 2*o - 3*g + 2 = 0, o + 0*g + 3*g = 17. Solve -o*k - 6 = -3*t + 4*t, 5*k = 5*t for k. -1 Let p(v) = -v**2 + 9*v - 5. Let a be p(6). Suppose 8*b - a*b + 15 = 0. Solve 0 = -0*x + 4*x + b*t + 20, 2*t = 0 for x. -5 Let k(c) = -c**2 + 8*c - 7. Let t be k(7). Suppose 2*n + 16 = -t*n. Let y be 6*-4*1/n. Solve y*g - 3*q - 25 = 2*q, -5*q - 35 = -5*g for g. 5 Let d be (8/6)/((-3)/((-117)/2)). Let h = 14 + -9. Suppose -2*c - d = -5*q, 2*c + 32 = h*q - 2*c. Solve l - 4*y + 7 = 0, -3*l + 8*l + q*y - 13 = 0 for l. 1 Let d(s) = s**2 + 18*s + 5. Let b be 21*(60/(-21) + 2). Let j be d(b). Solve -5*l = 4*x + 40, 2*x - 3*x - j = 0 for l. -4 Let t be (4/8)/(5/240). Solve 3*z + z + 4*f - 16 = 0, 0 = 4*z - 4*f + t for z. -1 Let c be 5*2/(-10)*-19. Solve -u - 3*g = -c, 0*g = -5*u - 3*g + 35 for u. 4 Let q be (-1 + 20/8)*2. Suppose -3*d - q*k = -12, 4*d - 4*k = 6*d - 10. Suppose 2*z + 21 = d*p, 0 = 2*z - 6*z. Solve -t + 3 = i - 0, 5*t - p = -i for i. 2 Let s(p) = -p**2 - 4*p - 4. Suppose -5*f = z + 21, 2 = -f - f - 2*z. Let m be s(f). Let b be (-2)/(-3*(-2)/m). Solve 0 = b*t - q - 6, 3*q + 0 - 9 = 0 for t. 3 Let r(k) = -k**3 + 18*k**2 + 42*k - 35. Let j be r(20). Solve 32 = l - j*l + 4*d, 0 = 3*l + d + 8 for l. -4 Let d = 2099 + -2097. Solve -13 = -r + 3*m, -d*r + 2*m - 1 + 15 = 0 for r. 4 Let y = 6 - 3. Let r = -98 + 152. Suppose 2*v = o + 4*o + r, 30 = 2*v + o. Solve -3*a + 4*t - v = 0, a - y*t = -4*a - 10 for a. 1 Suppose 0*n = n - 5. Let g(b) = -2*b**3 + 19*b**2 + 13*b - 20. Let v be g(10). Solve -n*p + 20 = 3*h, -h - v = -3*p + 2 for h. 0 Let m = 3 - 2. Let a be ((-28)/(-16))/(m/4). Let z = 34 + -23. Solve -3*t - 3*s - a = -2*t, 0 = -4*t + 5*s - z for t. -4 Suppose -19*v - v = -60. Solve 2*j + 5*o + 22 = 0, 4*j + o -
{ "pile_set_name": "DM Mathematics" }
rder. 3/4, -0.05, c, -0.3 Suppose 10 = 5*p + 70. Let m be (2 - 0) + 21/p. Put 0.1, -1/3, m, 5 in decreasing order. 5, m, 0.1, -1/3 Let o = -0.59 + -0.11. Suppose -2*l = 1 - 7. Let u be ((-245)/60)/(-7) - 1/l. Put -0.5, u, o in increasing order. o, -0.5, u Suppose 2*v - 51 = 67. Let w = v - 63. Put w, 7, 0 in increasing order. w, 0, 7 Let s = -11 + 12.4. Let d = s - 1.7. Let p = 17 + -12. Sort d, p, 0 in descending order. p, 0, d Let j = -6.8 - -7. Let p be ((-118)/1947)/(1/((-3)/2)). Put j, p, -2 in descending order. j, p, -2 Let r be ((-87)/65)/(-3) - (-3)/(-5). Let m = 8280427/11930317 - 1/490287. Let h = -2/73 + m. Put h, -2, r in descending order. h, r, -2 Let f = 17.2 + -17. Let t = -69 + 68.7. Put f, -0.2, -0.5, t in descending order. f, -0.2, t, -0.5 Let u = 33.944 + -34. Let v = -2.944 + u. Sort 2/9, v, 0.09 in decreasing order. 2/9, 0.09, v Let y be (8/(-6)*1)/(8/12). Let s = -5 + 4.7. Sort -3, s, y. -3, y, s Let p = -56.8 + -1.2. Put 0.4, 3, -3, p in decreasing order. 3, 0.4, -3, p Let y(z) = z**3 - 2*z**2 - 6*z - 6. Let l be y(4). Let c be 4*(-2 + 5/4). Sort c, l, -1, 3 in descending order. 3, l, -1, c Let t = 40 - 34. Let g = -6 + 1. Put g, t, 1 in increasing order. g, 1, t Let r = -77.9 - -78.9. Sort 0.06, 1/5, 9/4, r. 0.06, 1/5, r, 9/4 Let j = 305 - 310. Put 1, j, 15, -2 in descending order. 15, 1, -2, j Let c = 63.92 - 65. Let s = c - -1. Sort 1/4, s, -0.1 in descending order. 1/4, s, -0.1 Let k be -24 + (0 - -14) - (0 - 6). Put 53, k, 2 in descending order. 53, 2, k Let w = 2 + -4. Let a = -816 + 815.9. Sort 0.3, 0, a, w in decreasing order. 0.3, 0, a, w Let b = -0.2 + 1.2. Let y(n) = 53*n + 26. Let p be y(4). Let g = 240 - p. Sort g, 0.2, b. 0.2, b, g Let f be 12/5*(-165)/(-66). Put 0, -3, f in increasing order. -3, 0, f Let f = -43 + 44. Sort -1, -9, f. -9, -1, f Suppose 0 = 5*k + 10, -4*j = -5*j - 4*k - 6. Let z be 0 - (-1 + 4 + j). Let m be ((-2 - -2) + -10)/(-2). Sort m, z, 0. z, 0, m Suppose 0 = 23*u - 92 - 0. Sort 2/7, -1, u, 11 in increasing order. -1, 2/7, u, 11 Let j = 819 - 819. Let y be 1*(0 + 1 + 2). Sort 25, j, -3, y in increasing order. -3, j, y, 25 Let y = -222.4 + 220.443. Let v = 0.043 - y. Put v, -3, -1 in decreasing order. v, -1, -3 Let d be -4*3/(-24)*6. Suppose -2*i = v + 4*v + 30, d*v - 2*i = -18. Sort -3, v, -1 in descending order. -1, -3, v Let p = -1.6 - -2. Let u = 169 - 173. Let b = -7.9 + -2.1. Sort u, b, p. b, u, p Let t be 9/15 + ((-165)/(-50))/(-1). Let s = t + 26/5. Put s, -2/11, -29, -3/7 in descending order. s, -2/11, -3/7, -29 Let o(c) = -3*c. Suppose -10*p = -9*p - 4. Let l be o(p). Let h be 5/15*l/(-2). Put h, -2, -4 in descending order. h, -2, -4 Suppose 580 = 31*s + 2843. Put 0, s, 4 in descending order. 4, 0, s Suppose 5*h + 6*x = 3*x + 92, 2*x + 72 = 5*h. Suppose -21 = 5*s - h. Let l(i) = -i**3 - 2*i**2 + 3*i - 3. Let p be l(-3). Put s, 0, p in increasing order. p, s, 0 Let z be (240/(-192))/(10/(-8)). Put -7, 5, z in decreasing order. 5, z, -7 Let b(a) = 5*a. Let c be b(-1). Let q be (2/6)/((-16)/96). Put q, c, -4 in ascending order. c, -4, q Let b = -0.36 - 0.04. Put 2/9, b, -9 in decreasing order. 2/9, b, -9 Suppose 2*h + 2*g = -14 - 2, -5*h + 2*g = 12. Let r = 10 - 5. Suppose 0 = -s + r*s - 4. Sort s, 4, h in increasing order. h, s, 4 Suppose -a = -5*t + 64, -3*t + 32 = -0*t + a. Suppose 2*l - 6 = 0, -4*l = -3*k - 2*l - t. Let b = -40 + 42. Sort b, 0.3, k. k, 0.3, b Let f(w) = 7*w + 74. Let r be f(-10). Suppose -2*g = r*q - 10, -2*g = -q + g - 1. Sort -1, 1/9, q, -1/7. -1, -1/7, 1/9, q Suppose 0 = 5*g - t - 8, -4*t + 0*t - 12 = 0. Put g, -14, 3 in ascending order. -14, g, 3 Suppose l = 1341 - 1336. Sort l, -53, -3 in descending order. l, -3, -53 Let u = -22 - -17.5. Let j = -0.5 + u. Let x = 65 - 64.8. Sort j, x, 2 in increasing order. j, x, 2 Let v(o) = o. Let d be v(-3). Let p = 1/623 - -1864/3115. Sort 1/3, -1/10, p, d in decreasing order. p, 1/3, -1/10, d Suppose -2*s - 2 - 4 = 0. Suppose 0 = 4*n - n - 6. Suppose -5 + 11 = n*u. Put s, -1, u in decreasing order. u, -1, s Let b be ((-324)/(-1))/6*(-14)/(-21). Sort -5, b, 4, -4 in decreasing order. b, 4, -4, -5 Suppose -4*w = 3*w - 35. Suppose -w*l = 3*m - 1, 3*l = 3*m - 12 + 3. Sort 1, -4, m in increasing order. -4, 1, m Let s be (56/(-112))/((-2)/(-44)). Sort 5, s, -3. s, -3, 5 Let l = -26 - -22. Let c be -1*2*(-1 - -2). Put l, c, 1 in decreasing order. 1, c, l Let v = -5 - -5.1. Let x = 1.64 - 1.94. Put x, -3/5, v in decreasing order. v, x, -3/5 Suppose 5*m + 7 - 2 = 0. Let t be 3*(8/(-6))/(-1). Let w = t + m. Put 5, -5, w in descending order. 5, w, -5 Let v(b) = -45*b + 496. Let z be v(11). Put 2, z, -163 in ascending order. -163, z, 2 Let g = -91 - -32. Let d = 56 + g. Sort d, -1/3, 0.4 in ascending order. d, -1/3, 0.4 Let w(a) = -a**3 + 3*a**2 + a - 1. Let l be w(3). Sort -1, -4, l, 3. -4, -1, l, 3 Let j be ((-5)/(-10))/((-8)/(-112)). Put 4, 1, j in decreasing order. j, 4, 1 Let h = 20 - 20. Let u = 6 + -1. Sort h, -1, 0.3, u in decreasing order. u, 0.3, h, -1 Suppose -3*s + 4*a - 126 = a, 0 = -s + 4*a - 45. Let z = -41 - s. Sort 3, z, -0.01 in descending order. 3, z, -0.01 Let z = 0.9 + 0. Let b = z - 1. Let y = 2 + 3. Sort -3, y, b. -3, b, y Let s be -8 + ((-5)/(-6) - -7). Let m = 0.73 - -0.07. Let i = -6.8 + m. Sort s, i, 3 in descending order. 3, s, i Let n be 0*2/8 - -4. Let i be (5 - 2) + (3 - (n - -1)). Let k(c) = c + 2. Let z be k(-7). Put i, 4, z in descending order. 4, i, z Let l = -47.7 + 42.7. Sort 3/2, l, 84, 1 in descending order. 84, 3/2, 1, l Let n = 20.3 + -19.8. Put 2, -0.3, 1.9, n in decreasing order. 2, 1.9, n, -0.3 Let h = 1588 + -1719. Sort 0, -1, h in descending order. 0, -1, h Let x = 23 - 27. Let u = 1 + 14. Let i = 14.5 - u. Sort x, -5, i in decreasing order. i, x, -5 Suppose 70*p = 74*p - 4. Suppose 4*j + 4*r + 2 = -18, 2*r = -4*j - 16. Let y = -3 - j. Sort -5, p, y in descending order. p, y, -5 Let a = -4.161 - -1.161. Sort a, 4/9, 6. a, 4/9, 6 Let p = 6 - 10. Let d be (-10)/(-3)*(-63)/(-14) - 2. Suppose -3*k + 10 = 4*m, 0 = -5*k - 5*m + 2*m + d. Put -3, p, k in increasing order. p, -3, k Suppose -2*d = -3*y - 17 + 3, -y = -d + 7. Suppose -5*q + 13 + d = 0. Put -3, 1, q, 5 in descending order. 5, q, 1, -3 Suppose -r + 10 = 13. Sort 5, r, 169 in decreasing order. 169, 5, r Suppose -2*b = 5*q - 14, -3*q + 1 = 5*b + 4. Suppose 5*o + 3*v = 32, 2*v - 28 = -q*o - v. Suppose 30*y - 25*y - 15 = 0. Put o, y, -4 in ascending order. -4, y, o Let u(y) = y - 1. Let m be u(0). Let v be (-3)/(-6) + 9/2. Suppose -6 = -b - 2*a, -9 = -v*b - 4*a + a. Sort m, -4, b. -4, m, b Let l(f) = -f**3 + 6*f**2 + 6*f + 7. Let y be l(7). Suppose y = 2*s + 6, m + 2*s - s + 3 = 0. Sort 1, m, 4, 2 in decreasing order. 4, 2, 1, m Let p = 1 + -0.9. Let l = 4.9 + p. Let d = 0.37 + 0.13. Sort l, d, -0.02 in decreasing order. l, d, -0.02 Let h be 3*(7/3 + 1). Let u be (486/(-126) - 1/7) + 0. Sort h, -5, u. -5, u, h Let t = 14.47 - 18.47. Sort -5/14, t, -1, -6 in ascending order. -6, t, -1, -5/14 Suppose -12*y = -18*y - 282. Put y, -2, -3/5 in ascending order. y, -2, -3/5 Let b = -5.08 + 5. Let d be 60/(-8) + (-3)/(-6). Let x be ((-9)/18)/(d/(-6)). Put x, -5, b in decreasing order. b, x, -5 Suppose 0 = -35*r + 93 + 292. Put 0, r, 5, 3 in descending order. r, 5, 3, 0 Let h be (-24)/(-18)*(-1)/(-2). Let g = -33 - -22. Let u = g + 6. Put u, -0.2, h in descending order. h, -0.2, u Let w = 0.4 - -0.1. Suppose 28 = -3*x + 4*n, -32 = 7*x + 10*n - 11*n. Sort 0.2, w, x in increasing order. x, 0.2, w Let x be (19 - 17)*(66 + -4). Sort 3, 2, 0, x in descending order. x, 3, 2, 0 Let r = -103 + 108. Suppose 3*o + 28 = r*l + 2*o, -22 = -5*l + 4*o. Put 0, l, 1, -0.1 in decreasing order. l, 1, 0, -0.1 Let u(l) = -l**3 - 16*l**2 - 17*l - 1. Let t be u(-15). Suppose -4*j + 5*y + t = 0, -2*j = -5*y - 7 - 20. Put j, 1/5, 5 in descending order. 5, j, 1/5 Let b = -327 - -334.85. Let c = -10 + b. Let k = c - -0.15. Put 3, -0.3, k in decreasing order. 3, -0.3, k Suppose 0 = 4*o - 2*g - 10 + 2, 0 = -o - g + 8. Suppose 3*f + 26 = f - 4*v, -o*v = 16. Sort f, 4, -3 in increasing order. f, -3, 4 Let n be -2*(-5)/(-2) - (-816)/164. Sort n, -0.5, -1/7. -0.5, -1/7, n Let i = -3.788 - 0.212. Put i, -5, -2/3 in decreasing order. -2/3, i, -5 Let c = -0.3614 - -0.0614.
{ "pile_set_name": "DM Mathematics" }
Suppose t = 3 - 4. Is 11 a factor of t/(-5) - (-438)/10? True Let s(m) = 3*m + 5. Let i be s(7). Suppose 4*n + 2*r + 22 + 12 = 0, i = -2*n - 4*r. Let l = n - -23. Is l a multiple of 8? True Does 8 divide 54 - (1/(-1))/(-1)? False Let q be 4/(-6)*(0 - -12). Let c(m) = -m**2 - 8*m - 8. Let l be c(q). Let t(h) = -h + 3. Is 8 a factor of t(l)? False Let u(v) = -13*v - 16. Does 24 divide u(-6)? False Suppose 4*l = 2*l + 50. Suppose -4*c - 339 = -5*n, -5*n = 5*c - 350 - l. Is 20 a factor of n? False Let x(f) = f**2 + 8*f - 11. Let h = -10 + -1. Let m be x(h). Let s = -5 + m. Does 8 divide s? False Let v be (-1 - 3/(-2)) + (-9)/18. Suppose 3*i = 5*i - 140. Suppose 0 = -v*b - 5*b + i. Is 4 a factor of b? False Suppose 14*a + 36 = 15*a. Let h = -23 + a. Does 2 divide h? False Is -4 + (62 - 0 - -4) a multiple of 16? False Let x(c) = c**3 + 4*c**2 - 2*c - 5. Let g be x(-4). Suppose -z = -4*z + g. Does 15 divide ((-3)/(-4))/(z/60)? True Let w(o) = -o**3 + 5*o**2 - 4*o - 1. Let n be w(4). Let m be n - -3 - 36/(-2). Suppose -r - 4*r + m = 0. Is 3 a factor of r? False Let u(d) = -d**3 - d**2 + 3*d + 4. Is 8 a factor of u(-5)? False Suppose 3*i = -3*s + 181 + 44, 0 = 4*s - 3*i - 307. Does 13 divide s? False Suppose -8 = -3*y + 4. Let s(z) = -z**2 + 8*z + 3. Is s(y) a multiple of 4? False Let l(r) = -8*r - 14. Let c be l(-6). Let m = c + 4. Is m a multiple of 19? True Suppose -2*v + 3*x = 5, -4*v + x - 2*x = -25. Suppose v*c - 44 = c. Is 11 a factor of c? True Suppose -84 = -0*o - 4*o. Suppose 0 = -3*t + 4*t - o. Is 21 a factor of t? True Let i be (0/2)/2 + 6. Let o be (-17)/(2 - 7/4). Does 7 divide o/i*12/(-8)? False Let d(v) = -4 + 6 - 1 + 6*v. Let l(f) = -f - 1. Let z be l(-8). Does 17 divide d(z)? False Suppose 14*o - 78 = 13*o. Is 3 a factor of o? True Is 6 a factor of 12/4 + 23 + -2? True Let z = 54 + -91. Let c = 63 + z. Is c a multiple of 13? True Is 24 a factor of (-160)/(0 - 1) + -3? False Suppose -4 - 14 = -3*o - b, 3*b - 29 = -4*o. Suppose 14 = o*n - 3*w - 68, 2*n + 3*w = 16. Does 10 divide n? False Suppose -38 = -3*g + 163. Let l = 106 - g. Does 18 divide l? False Suppose -2*x = -4*u - 268, 0 = -5*x + 8*u - 9*u + 725. Does 39 divide x? False Let q = 103 - 23. Is 13 a factor of q? False Let d(m) = 116*m**3 - m**2. Does 10 divide d(1)? False Is 14 a factor of 595/21 + 2/(-6)? True Let p(w) be the third derivative of w**5/60 + w**4/24 + w**3/2 - 3*w**2. Let d be p(0). Suppose 0 = -y - d*y + 48. Does 6 divide y? True Suppose -55 = -6*j + 449. Is j a multiple of 12? True Let i = 19 - 13. Suppose 2*g - 4 - i = 0. Is g a multiple of 3? False Let y = 92 + -69. Does 11 divide y? False Does 4 divide 1/5 - 147/(-15)? False Let a = -126 - -182. Does 21 divide a? False Let z = -35 - -81. Does 42 divide z? False Let l(o) be the third derivative of -o**4/24 + o**3/3 + o**2. Let v be l(2). Suppose v*p - 8 = -p. Is 7 a factor of p? False Let p(o) = -o**3 + 3 + 2*o**2 - 2*o**2 + o**2 + o. Let z be 1/((-8)/12)*2. Is p(z) a multiple of 18? True Let j = 2 - 0. Suppose 0 = 3*p - 3*i, j = 5*i - 13. Is 0 + 11 - (1 - p) a multiple of 13? True Let o be (-2 + 5)*6/(-9). Let d = 0 + o. Is 34/3 + d/(-3) a multiple of 6? True Does 5 divide (-1*3)/(18/(-132))? False Let v = -9 + 106. Is v a multiple of 12? False Suppose 0 = -4*g + 1 - 5. Let f be (-1 - 17) + 2 + g. Let u = 7 - f. Does 17 divide u? False Let c be (3*-13)/(6/4). Let s = c + 37. Let b = s + -6. Is b even? False Let f = -5 + 10. Suppose 3*g + 105 = -f*n, 2*n + g - 49 = 5*n. Let h = n + 30. Is h a multiple of 12? True Let b(s) = -8*s + 64. Does 28 divide b(-13)? True Suppose 3 = -y - 2, 14 = -2*z - 2*y. Let b be -33*z/3 - -1. Suppose 0 = 3*t + 2*u - b, -2*t + 22 = u + 6. Is t a multiple of 9? True Suppose 99 = 4*w - 141. Is w a multiple of 15? True Suppose -2*p - v + 10 = -0*v, v = 4*p - 14. Suppose p*z = 7 + 17. Suppose q = z + 20. Is q a multiple of 13? True Let b(v) = -v**3 - 7*v**2 - 5*v - 7. Let f be b(-5). Is f/(-12)*6/4 a multiple of 4? True Let k(s) = s**3 + 16*s**2 + 10*s - 15. Let g = -39 + 24. Does 20 divide k(g)? True Suppose -3*w - w = 3*h + 3, 3*h - 2*w = -21. Suppose -3*d - 108 = -4*y, 4*d - 3*y = -16 - 135. Is 5 a factor of (6/h)/(6/d)? False Let y(j) = -j. Let w(k) = -18*k + 4. Let l(z) = -w(z) + 10*y(z). Let c be l(4). Let h = -15 + c. Is 13 a factor of h? True Let z(o) = 12*o - 8. Is 26 a factor of z(4)? False Suppose p = -p + 4. Let y(i) = 12*i**2 - i + 2. Let b be y(p). Suppose -2*n = 2*n - b. Does 6 divide n? True Let o(l) = 22*l**3 - l**2 + 2*l - 1. Let a be 5/15*(-1 + 4). Let u be o(a). Suppose -u = -2*v + d + 3*d, 5*d - 46 = -v. Is v a multiple of 10? False Suppose 2*a - 3*f = -7, -5*a - 14 = -0*a - 4*f. Let c be (0 - a)*3 - 3. Suppose c*y - 32 = y. Is y a multiple of 11? False Let j(u) = 13*u**2 + 2*u - 1. Let n(b) be the third derivative of b**5/60 - 7*b**4/24 + b**3/6 - b**2. Let m be n(7). Is 14 a factor of j(m)? True Let c be (-77)/(-5) + 12/20. Suppose -3*m - 3*u = -0*u - 108, c = -4*u. Is 10 a factor of m? True Is 13 a factor of 1/(-3) - (-236)/6? True Let l = -23 + 34. Does 2 divide l? False Suppose 3*l - 20 = 5*v, -v = -5*l - 3*v + 54. Let c be 66/l - 2/(-5). Suppose 0 = -c*q + 3*q + 124. Is 12 a factor of q? False Let k = -34 - -24. Let c = 46 + k. Is c a multiple of 9? True Let k(m) = -4*m**3 + 2*m**2 - 2*m - 2. Suppose 2*i + 3*r = -i, -3*i - 2*r = 2. Let n be 4/(-2) - (i + 2). Is k(n) a multiple of 21? True Let m(o) = -o**2 + 10*o - 6. Let p be m(9). Suppose 0 = -5*z + 2*r + 289, p*z - 6*r - 181 = -r. Is z a multiple of 15? False Let s = -2 + 1. Is 308/12 + s/(-3) a multiple of 9? False Let l(s) = s**2 + 6*s + 2. Does 16 divide l(-10)? False Let y be (-1 - 0)/(2 - 3). Let n(h) = 1 - 12*h - 2 - 4 - y. Does 21 divide n(-4)? True Let r(q) = q**2 + 5*q + 2. Let k be r(-4). Let f be 1*(k + 4) - 2. Suppose -x = -3*n + 54, n - 3*x - 18 = -f*n. Is 11 a factor of n? False Let i(j) = -21*j - 42. Does 12 divide i(-10)? True Let f(i) = -i - 2. Let p be f(-6). Suppose -p*r = -7*r + 117. Is 13 a factor of r? True Let z(q) = q**2 - 8*q + 7. Let f be z(7). Does 14 divide (-5 - (f - 2)) + 17? True Suppose 0 = -4*n - 2 - 2. Is ((-15 - 2)/n)/1 a multiple of 17? True Is 6 a factor of 4/24 + (-483)/(-18)? False Let b be (-2 - -7 - 3)*2. Suppose -3*m - b*s = -29, -37 = -m - 2*m + 4*s. Does 9 divide m? False Let f = 11 - 6. Suppose -2*y = -4*p - 92, -138 = 2*y - f*y + 3*p. Does 17 divide y? False Let u(x) = 4*x + 3. Suppose -4*a = -4*k - 0*k - 16, -4*a + 2*k + 8 = 0. Let j = 3 + a. Is 15 a factor of u(j)? True Let q = -3 - -5. Suppose 0 = -3*v - 3*l - 9, 5*v + 0*l + 8 = q*l. Is 9 a factor of 94/4 - v/4? False Suppose f = -2*s + 8, 0 = -4*s + 3 + 17. Does 5 divide 15/(-12)*(f + -2)? True Let q = -17 - -32. Let a be (13/3)/(1/q). Suppose -5*y + 0*y + a = 0. Is y a multiple of 6? False Suppose -t - 31 + 81 = 0. Does 25 divide t? True Let t(z) = -2*z - 1. Let c be ((-18)/(-3))/1 + -1. Suppose 0 = -4*i - 7 - c. Does 5 divide t(i)? True Let l be ((-12)/(-15))/(2/20). Suppose 55 = -3*w + l*w. Is 3 a factor of w? False Does 2 divide (3 - 93/12)*-4? False Suppose -8 = 2*x - 0. Let q(o) = o**2 + 2*o. Does 8 divide q(x)? True Let h(s) = 7*s - 3. Does 30 divide h(9)? True Suppose -4*r - 8 = -20. Let k be r - (0 + 1) - -3. Suppose -k*w + 190 = -0. Is w a multiple of 19? True Suppose 5*h - 4 = 6. Suppose 2*k = k + h. Suppose -l = 3*q - 25, -l - k = -2*q + 8. Is 4 a factor of q? False Suppose -4*a + 10 - 2 = 0, -2*a = 2*h - 144. Is h a multiple of 10? True Suppose -l = -3 - 4. Is l a multiple of 7? True Let a(u) = u + 2. Let b be a(10). Suppose -g - 2 = -b. Suppose p - g = -3*i, -4*p + 2*i = -2*i - 8. Is 2 a factor of p? True Let i = -236 - -427. Is i a multiple of 13? False Let d(p) be the first derivative of -p**4/2 - 5*p**3/3 - 2*p**2 - 3*p - 3. Let g be d(-3). Let j = g + 3. Does 21 divide j? True Let f(d) = -d**3 + 11*d**2 - 7*d - 1. Is 59 a factor of f(4)? False Let t be 2/(-3) - 4/(-6). Suppose -6 = -2*p, 0 = -f - t*f + 4*p - 11. Is f/((0 - 1)/(-38)) a multiple of 19? True Let b = 376 + -187. Is b a multiple of 27? True Let s(k) = -k - 2. Let o be (-2)/(0 - (-3)/6). Let a be s(o). Does 6 divide a/8 + (-55)/(-4)? False Let y(k) = -k**3 + 8*k**2 + 2*k. Does 5 divide y(8)? False Let w = 8 + -5. Suppose 0 = -
{ "pile_set_name": "DM Mathematics" }
5, -16/7, -1, -5? -1 What is the closest to 3 in 3, -1, 2/263, -4? 3 Which is the closest to 0? (a) 4 (b) -0.14 (c) -0.1 c Which is the nearest to 1? (a) 0.5 (b) 2/7 (c) 20/469 (d) 3 a Which is the closest to 0.1? (a) -2/9 (b) -2 (c) -41 (d) 1/3 d Which is the nearest to 42/5? (a) -5 (b) -3 (c) -0.2 (d) 2 d Which is the nearest to 1/2? (a) -1 (b) 25 (c) 0.028 c What is the nearest to -3/4 in -4, 3, -22? -4 What is the closest to 13 in -4, 0.2, 4, 1/4? 4 What is the nearest to -1/4 in -1/132, 4, -1? -1/132 What is the closest to -18/13 in -1/3, -0.2, 1? -1/3 Which is the nearest to 40? (a) -0.1 (b) -2/103 (c) 1 c Which is the nearest to -0.1? (a) 5 (b) -2/21 (c) 1 (d) 350 b Which is the closest to -2? (a) -2/3 (b) -123 (c) 1 a Which is the closest to -4? (a) 2 (b) -16 (c) 2/9 c Which is the nearest to 1? (a) -2 (b) -13/9 (c) -19 b Which is the closest to -2? (a) 11.8 (b) 2 (c) 15 (d) 3 b What is the nearest to 8 in 3, 0, 2? 3 Which is the closest to 2/9? (a) 0.2 (b) 0.1 (c) -2 a What is the nearest to -1 in 0.06, -0.5, 1/55, 0.03? -0.5 Which is the nearest to 31? (a) -5 (b) 1/4 (c) -22 b Which is the closest to -2/7? (a) -1/2 (b) 1.3 (c) -1 (d) -0.1 d What is the nearest to -2 in 100, 2, -2/3? -2/3 Which is the nearest to 0.1? (a) 10 (b) -5 (c) -1/10 c Which is the closest to 0.2? (a) -4 (b) 6 (c) -18/19 (d) 4 c Which is the closest to 1/5? (a) -0.8 (b) -5 (c) -2/3 (d) 2 c What is the nearest to 2/23 in -3, 0.03, 0.3, -0.3? 0.03 Which is the nearest to 1? (a) -2/7 (b) 15 (c) -1 (d) 0.5 d Which is the nearest to 2/5? (a) 0.5 (b) -1 (c) -15 a What is the closest to 0.1 in -6/5, 2/3, -10? 2/3 What is the closest to 2/9 in -8, 4, 0.5, 13? 0.5 What is the closest to -0.7 in 1/4, 26, 2/3? 1/4 What is the nearest to -68 in 0.3, -2, 0, -1/6? -2 Which is the closest to -0.1? (a) -2 (b) 3/2 (c) -0.4 (d) -44 c Which is the nearest to -21? (a) 0 (b) 0.1 (c) 2/7 a Which is the closest to -1? (a) 5 (b) -0.5 (c) 23 b Which is the nearest to 0.2? (a) -0.1 (b) -1 (c) 1/3 (d) 5 c Which is the nearest to -1/46? (a) -0.5 (b) 3 (c) -1 (d) 4 a What is the closest to 0 in 0.23, 0, -3? 0 What is the nearest to 3/4 in 2/17, 0.08, -5? 2/17 Which is the closest to -0.2? (a) 5 (b) 2/5 (c) -0.03 (d) 0.2 c What is the nearest to 1/10 in 5, 2/15, 1/4? 2/15 Which is the nearest to 0.06? (a) 1/12 (b) -5 (c) 4 a What is the nearest to 2/9 in 0.14, 4, 3? 0.14 Which is the nearest to -15? (a) -2/23 (b) -2/7 (c) 0.135 b Which is the nearest to -1/4? (a) 1/9 (b) 0.3 (c) 1 a Which is the closest to 0.2? (a) -0.5 (b) -5 (c) -1/5 (d) 2/11 d What is the closest to 1 in -4, -1, 2/7, 0.47? 0.47 Which is the nearest to 0.2? (a) -0.1 (b) -41 (c) 5 a Which is the closest to -0.1? (a) -1/11 (b) 2 (c) -6/161 a Which is the nearest to 489? (a) 0.4 (b) 1 (c) -2 b What is the closest to -1/4 in 4, 1/2, -5, 1/63? 1/63 What is the nearest to 2/5 in 0.3, 6, 0.2, 5? 0.3 What is the nearest to 2 in 5, 4, 5/4, 1? 5/4 Which is the nearest to -2? (a) -2 (b) 1/2 (c) -36/133 a Which is the closest to 1? (a) -24 (b) 8 (c) 3/8 c What is the nearest to 3 in 3, -0.4, 0.9? 3 Which is the closest to -1/4? (a) 1154 (b) 0.4 (c) 0.3 c Which is the closest to -1/3? (a) -0.46 (b) -0.3 (c) 1/10 (d) 1/4 b What is the closest to -1 in -18, 1, -0.1, 2? -0.1 Which is the closest to 1? (a) 7 (b) 39 (c) 3/17 c Which is the nearest to 1/4? (a) -1 (b) 0 (c) 48 (d) -5/6 b What is the closest to 0.9 in -0.4, -77, -2/7, 5/3? 5/3 Which is the closest to 0? (a) -0.3 (b) -17 (c) -3/11 c What is the nearest to 0 in -3, 2/5, -1/6? -1/6 What is the nearest to 0 in 1/10, 4, -391? 1/10 What is the nearest to -38/5 in 1/7, -1/4, 2, 0.2? -1/4 What is the closest to 1 in 0.1, 1.2, 0, -2/7? 1.2 What is the nearest to -3 in -13, 0, 3/2? 0 What is the closest to -1 in -2/11, 14, 9, -3? -2/11 Which is the closest to -0.2? (a) -0.3 (b) 1/4 (c) -1 a Which is the nearest to 0? (a) 4 (b) 10/17 (c) -11 b Which is the closest to 55? (a) -7 (b) -1/4 (c) -0.1 c Which is the closest to -2? (a) 3 (b) 0.5 (c) -91/2 b What is the closest to 2/13 in -2, -1751, 5? -2 What is the closest to 7.9 in 0.2, 4, -3? 4 Which is the nearest to 2? (a) 1/3 (b) -0.4 (c) -35.8 a What is the nearest to -2/5 in 0.26, -4, -3? 0.26 Which is the nearest to -1/4? (a) -0.1 (b) -4 (c) -5 (d) 0.14 a Which is the nearest to 2/9? (a) 4/5 (b) -1 (c) -2 (d) 4 a Which is the nearest to 1? (a) -56 (b) -3 (c) 2/7 c What is the nearest to 22 in 3, -1, 0.08, 0.3? 3 What is the closest to -0.06 in 0.2, 134, 3? 0.2 What is the closest to -1/2 in -3, 0.43, 1/49? 1/49 Which is the closest to -4? (a) 0.5 (b) 4 (c) 0 (d) 1/4 c What is the nearest to 0.1 in -3, 0.2, 9, -4? 0.2 Which is the nearest to -36? (a) 2 (b) 0 (c) -0.5 (d) -4 d What is the closest to 0.1 in 0.06, 5/4, 0.5, 1/10? 1/10 What is the nearest to 1 in -387, 5, 2/7? 2/7 Which is the nearest to 0.1? (a) 0.4 (b) -2/7 (c) -0.1 (d) -18 c Which is the closest to 2? (a) -2/11 (b) 1/4 (c) -12/31 (d) 0.7 d What is the closest to 0.1 in -14, 1/5, 0.5, -1/5? 1/5 Which is the nearest to 0? (a) -12 (b) 4 (c) -5 b What is the closest to -2 in -3, -2/423, -0.3, 3? -3 Which is the nearest to -0.2? (a) 0.3 (b) -4 (c) -5 (d) -1.3 a What is the nearest to 1 in -0.2, 2, 1, 0.4? 1 Which is the nearest to -4? (a) 2 (b) 4/9 (c) 18/7 b Which is the closest to 0.1? (a) -5 (b) 10.5 (c) 0.2 c Which is the closest to -1? (a) 1/2 (b) -2/11 (c) -1/8 (d) 6 b What is the nearest to -0.1 in 11/4, 1, -3, 5? 1 Which is the closest to -2? (a) -0.4 (b) 1/3 (c) 0 (d) 1/11 a Which is the nearest to 0? (a) 3 (b) 2 (c) 0.2 (d) -7 c Which is the closest to 3? (a) -5/3 (b) -0.5 (c) 4/3 c What is the nearest to -90 in -2/3, 2/7, -1/6? -2/3 Which is the closest to -1/36? (a) 1/3 (b) -0.4 (c) 43 a What is the closest to -32 in 3, -1, 1, -6? -6 What is the closest to 30 in -3, -0.1, 1, -4? 1 What is the nearest to 0.2 in -4, -0.2, -0.3, 1/4? 1/4 What is the nearest to 0 in -3, 2, -1/6, 1245? -1/6 Which is the closest to 14? (a) 1 (b) 5 (c) -1/3 (d) 2/11 b Which is the closest to -2/7? (a) -5 (b) 16 (c) 0 (d) -0.61 c What is the nearest to 0.1 in -22, 2/13, -4? 2/13 Which is the closest to 0.15? (a) 1/2 (b) 3/8 (c) -0.02 (d) 3 c What is the nearest to 0.3 in -2/3, 2, -273? -2/3 What is the nearest to 0.2 in -0.01, 4/483, -2/9, -2/3? 4/483 Which is the nearest to -1/7? (a) -1/3 (b) 0.2 (c) 5 (d) -2 a Which is the nearest to 0? (a) 1/2 (b) -4 (c) -0.091 (d) 5 c What is the nearest to 2/13 in 6, -3, -0.4? -0.4 What is the nearest to 2.1 in -0.5, 0.4, 0.04, 1/7? 0.4 What is the nearest to -0.3 in -3, -2/13, -0.6? -2/13 Which is the closest to 1? (a) -0.1 (b) 0 (c) -19.1 b Which is the closest to 1? (a) 31 (b) -4 (c) -5 b What is the nearest to 0.1 in -0.2, 55, 3, 1? -0.2 Which is the nearest to -2? (a) -4 (b) 0.5 (c) -1/2 (d) 11 c What is the nearest to 1/4 in 44, 2.4, 0, -2/9? 0 What is the nearest to -0.046 in 0.5, -0.4, 5? -0.4 What is the closest to -264 in -2/7, -5, 2/7? -5 Which is the nearest to -0.5? (a) 0 (b) -1/2 (c) -2/7 (d) 3 b Which is the nearest to -10? (a) -0.7 (b) 1/2 (c) -5 (d) 1 c Which is the closest to -133? (a) -9 (b) -1 (c) -2 (d) 4 a What is the nearest to -0.2 in 94, 0.2, 2? 0.2 What is the closest to -0.1 in 6, 2, 0.5, -0.2? -0.2 What is the nearest to -0.1 in -5, 5, 2/5, -3? 2/5 What is the nearest to -0.1 in 101, 4, 3? 3 What is the closest to 6 in 1/5, -9/7, -1/5? 1/5 Which is the closest to -0.03? (a) -20 (b) -2 (c) -3 b Which is the closest to -0.06? (a) -1 (b) 1/3 (c) 0.1 (d) -2 c Which is the closest to 3? (a) -1/2 (b) 2 (c) 3/8 (d) -3/8 b What is the closest to 5/9 in 0.3, -3, 4/5, -0.5? 4/5 Which is the closest to -6? (a) 14 (b) -3/7 (c) 0.5 (d) 0 b Which is the closest to -1.8? (a) 0 (b) 0.03 (c) -11 a Which is the nearest to 1? (a) 1 (b) 0.4 (c) -2/41 (d) -3/2 a What is the nearest to -13 in 2/7, -1/8, 3, -0.2? -0.2 What is the closest to 4 in 3, 4, 7, -0.4? 4 What is the closest to 0 in 1/11, 1.4, -0.1, -3? 1/11 What is the nearest to -0.8 in 0.3, -3, -2, -5? 0.3 What is
{ "pile_set_name": "DM Mathematics" }
*t + 2*c, -4347 = -6*t + t + c. Does 58 divide t? True Suppose -5*c + 0*s - 1 = -s, 3*c + 5*s = 5. Suppose 71*q - 74*q + 735 = c. Does 15 divide q? False Let s = 1098 - 737. Suppose s = 4*g - 55. Is 13 a factor of g? True Let p(l) = l**2 + 4*l - 7. Let f(s) = -s**2 + 10*s - 6. Let a be f(10). Let g be p(a). Suppose 23 + 7 = g*m. Is 3 a factor of m? True Suppose 0 = 2*f + w - 90 - 129, 4*w = 12. Suppose -10*u + 11*u - f = 0. Does 39 divide u? False Suppose -x - 1554 = -5*y, 4*y - 1010 = 4*x + 246. Is 8 a factor of y? False Let c(p) = p - 8. Let m be c(15). Suppose -8 = -5*z + m. Suppose 11 = z*s - 133. Is 16 a factor of s? True Suppose -5*q + 28 = -2*z, 5*q - 40 = 5*z - 0*z. Suppose q*m - 152 = 2*m. Does 19 divide m? True Suppose -10*u - 2190 = -11*u - 2*r, 2*u = -r + 4374. Is u a multiple of 17? False Suppose a + 260 = -5*q + 2*q, 2*a = 4*q + 340. Let s = q - -189. Is 10 a factor of s? False Let t = 441 + -199. Is 22 a factor of t? True Let o(q) = -q + 20. Let p be o(0). Suppose -4*n = -9*n + p. Suppose -n*t + t + 63 = 0. Is t a multiple of 10? False Does 17 divide 1768 + (-1 - (-1)/(7/35))? False Let w be 94/10 + 2/(-5). Suppose -2*n + 3 = w, -4*n - 188 = -4*v. Is v + -4 + 0/1 a multiple of 10? True Let k be (6 - 0)*6/4. Suppose -11 - k = -5*x. Suppose 15 - 79 = -x*z. Does 4 divide z? True Let u(v) = -v**2 + 16*v - 15. Let g be u(14). Suppose 4*z = 869 - g. Does 21 divide z? False Suppose -4*x - 16 = 0, 0 = 3*u + 3*x + 6663 - 20196. Is 35 a factor of u? True Let b be (4 - 2 - 1)*3. Suppose 3*h - 6 = -g + 9, -h - 5 = -b*g. Suppose 0 = -g*n - n + 36. Does 6 divide n? False Is 6 a factor of (423/(-2))/(4 - 133/28)? True Does 4 divide 2*(-856)/(-64) + 2/8? False Suppose 4*v - 54 = 4*s - 6*s, 0 = -3*v - 4*s + 48. Let p(c) = 2*c + 23. Does 16 divide p(v)? False Let h(s) = 26*s - 35. Is 17 a factor of h(37)? False Suppose -5*p + 40 = -j + 6*j, 0 = j. Suppose -3602 = -p*i - 1410. Does 31 divide i? False Suppose -v = -11 + 6. Suppose -h + v + 5 = 0. Let b(c) = c - 7. Is b(h) a multiple of 2? False Suppose 21*l - 4*i - 12740 = 16*l, -5*l - 3*i = -12740. Is l a multiple of 26? True Let d = 20 - 18. Suppose -2*h + 5*a - d + 5 = 0, -4*h - a = -17. Is h even? True Let q be (-3)/3*0*8/(-32). Suppose 9*o - 5*o - 84 = q. Does 7 divide o? True Suppose 106 = a - 3*p, -5*a + 476 = -9*p + 12*p. Is 5 a factor of a? False Suppose 5*v - 5*d = -325, -274 = 5*v - 3*d + 47. Suppose 0*z + 26 = 3*a + z, 15 = 5*a - 4*z. Is 9 a factor of 173/a - 18/v? False Let k(y) = 3*y**2 + 4*y + 1. Let r be k(-10). Suppose 5*a = 3*m + r + 656, 0 = -5*m + 5. Does 11 divide a/6 + (-2)/3? False Let t be -4*5/(-8)*2. Is -1 - (-210)/t - -4 a multiple of 9? True Suppose 34*v = 3715 + 2643. Is v a multiple of 29? False Let w = -121 - -127. Let b(o) = 4*o + 32. Is b(w) a multiple of 7? True Suppose 0 = -11*j + 3950 - 452. Does 53 divide j? True Does 74 divide (4/6)/(36/31968)? True Let s(o) = 831*o - 26. Is 22 a factor of s(2)? False Let u(p) = 3*p**2 - 7*p + 9. Suppose -2 = 4*z + 6. Let g be (-56)/(-10) + z/(-5). Is u(g) a multiple of 15? True Let a(r) = r**3 - r**2 + r - 36. Let n be a(0). Is 3 a factor of (3 - n/8)*2? True Suppose n + 10 - 34 = 0. Suppose 2*t = -t + n. Is 24 a factor of (142/t)/(10/40)? False Let w be (-32)/(-24) - (-260)/3. Let k = w - 53. Does 8 divide k? False Let u(b) = -13*b + 302. Is 2 a factor of u(23)? False Suppose 5*r - 459 - 381 = 0. Does 21 divide r? True Let s = -58 - -590. Is 33 a factor of s? False Does 8 divide 88 + 915 - (-7 - (-2)/1)? True Let f = 134 - 39. Does 6 divide f? False Let d(x) = x - 4. Let h be d(2). Is 7 a factor of 16/(3/((-9)/h))? False Suppose 2*i = -3*s + 29 + 2223, -i = s - 752. Is s a multiple of 34? True Suppose 3*i + 2*o + 0*o - 2151 = 0, 0 = -2*i - 3*o + 1434. Does 11 divide i? False Let s(b) = 7*b**2 + b + 1. Let k be s(-4). Suppose -4*j - 5*t + 253 = 0, -143 = -4*j - 4*t + k. Is j a multiple of 31? True Let k = 192 + -84. Suppose i = 2*b - k, b + 20 - 74 = 5*i. Is 9 a factor of b? True Let m(s) = 2*s**2 + 4*s + 3. Let d be m(-2). Let o = 3 + d. Let z(l) = l**2 - 6*l + 9. Is 3 a factor of z(o)? True Let q = 28 + -19. Let g(z) = 3*z**3 - 7*z**2 + 4*z - 9. Let w(j) = 7*j**3 - 13*j**2 + 9*j - 17. Let f(p) = 5*g(p) - 2*w(p). Does 3 divide f(q)? False Let c(y) = -15*y + 2. Let o be (0 + 1)/((-1)/5). Let q be (-2)/o - (-418)/(-95). Is c(q) a multiple of 14? False Let b = 31 - 32. Does 6 divide (-275)/22*(b - 1)? False Let j(v) be the third derivative of 59*v**6/720 - v**5/60 - 13*v**4/24 - 10*v**2. Let g(i) be the second derivative of j(i). Is g(1) a multiple of 17? False Let f = 80 - -282. Is f a multiple of 20? False Suppose -4*a = -0*a + 5*z - 1137, -2*z - 294 = -a. Let p = -168 + a. Is p a multiple of 24? True Let d = 224 + -450. Let g = 343 + d. Does 39 divide g? True Let l(m) = -2*m**3 + 20*m**2 - 11*m + 18. Does 20 divide l(-10)? False Let n(h) = -h - 6. Let x be n(1). Is (x/140*5)/((-1)/596) a multiple of 16? False Suppose 4*a - 2*a + 92 = 0. Is 23 a factor of (8 + -4)/(-4)*a? True Let m(j) = 3*j**2 + 15*j + 3. Let p be m(-10). Let w = p + -51. Does 11 divide w? False Let v = -772 + 1876. Does 24 divide v? True Does 80 divide (12/(-18))/((-207992)/51996 - -4)? False Suppose 3*r = -4*j - 1275 + 13743, r + 12484 = 4*j. Does 30 divide j? True Let y be 4/(4*-1)*0. Suppose p = 3 - y. Does 5 divide p/1 - (1 - 5)? False Suppose j = -3*t + 38, 2*j + j + 4*t - 104 = 0. Let f = j + -22. Does 5 divide f? True Suppose -2*t + m = -54 + 17, 3*t + 4*m = 72. Is t a multiple of 2? True Let q(w) = w**3 + 2*w**2 - 10*w + 7. Is 15 a factor of q(-3)? False Let x(w) be the first derivative of w**6/180 - 3*w**5/40 + w**4/6 - 7*w**3/3 - 3. Let o(m) be the third derivative of x(m). Does 6 divide o(6)? False Let v = -33 - -36. Suppose -2*g + 74 = 2*d, -80 = -v*g + g + d. Is g a multiple of 14? False Suppose 0 = 12*g - 14*g - 2*p + 840, 5*p = 5*g - 2080. Is 19 a factor of g? True Suppose 22 = -3*d - 26. Let y be (9/(-6))/(4/d). Suppose -227 = -4*c - j, -2*c - j = -y*c + 221. Is c a multiple of 8? True Suppose -2*v = -3*v + 5343. Let b be v/(-5) + (-30)/(-50). Is 9 a factor of b/(-30) - 4/(-10)? True Let c = -2257 + 3492. Is c a multiple of 19? True Let r = 269 - -2121. Does 57 divide r? False Let k(z) = z**2 - 11*z + 4. Let y be k(11). Suppose -3*u + 2*b + 394 = 0, -y*u + 4*b + 762 = 230. Does 4 divide 10/(-4)*u/(-40)? True Let z = 36 - 12. Let c be 12/z + 2/(-4). Suppose -r + h + 25 = c, 3*r - 5*h + 55 = 7*r. Is 10 a factor of r? True Is 63 a factor of 1387 - 88/(15 - 7)? False Suppose -5*p + 4*l + 336 = 0, 0*l + 4*l = 4. Is 34 a factor of p? True Suppose 0*d + d + q - 251 = 0, -2*q + 1249 = 5*d. Does 49 divide d? False Suppose -3*r - r = -168. Does 14 divide r? True Suppose -3*s + 420 = 3*p, 41*s - 40*s - 124 = -5*p. Is 8 a factor of s? True Let d(l) = 608*l**2 + 3*l - 3. Is d(1) a multiple of 16? True Suppose 0 = 5*l + 4*n - 26, 0 = 4*l + 3*n - 1 - 19. Is 14 a factor of ((-430)/(-25))/(l/5)? False Let b(q) = 2*q**3 - 2*q**2 - 3*q + 9. Let m(v) = 3*v - 2. Let i be m(2). Is 31 a factor of b(i)? True Let z(k) = k**3 - 24*k**2 - 69*k - 109. Is 54 a factor of z(28)? False Let y = -2 - -7. Let l = 5 - y. Let p = l + 7. Is p a multiple of 4? False Suppose -2 + 8 = 3*b. Suppose -3*y = -b*y + 5*l - 62, -5*l = -20. Does 7 divide y? True Let p(a) = 3*a**3 - 3*a**2 + 3*a + 4. Let z be p(4). Suppose z = 5*x + 5*c, 0 = x - 5*c - 1 - 7. Is x a multiple of 18? False Let t(s) be the first derivative of 76/3*s**3 - s + 13 + 0*s**2. Is 25 a factor of t(1)? True Suppose 2*p + 2*z + 30 = 4, -5*p + 3*z - 73 = 0. Let t = 28 + p. Does 26 divide (-4)/t - (-604)/7? False Let r = -895 - -999. Is r a multiple of 8? True Suppose 3*a - 58 - 17 = 0. Suppose k + a = 61. Is k a multiple of 16? False Suppose 0*l + 5*l - 30 = 0. Suppose 19 = -0*g + g + y, 0 = 2*y + 10. Suppose -2*t + g = 3*w, -l*t - 9 = -3*w - 3*t. Is w a multiple of 3? True Suppose -3*s + 511 = -5*m, 5*s - m - 2*m = 825. Let z = s + -116. Is 13 a factor of z? False Let x be 3*(25 + 1) + 2. Suppose -x = -5*a + a. Is a a multiple of 5? True Let f(c) = -6*c + 53. Let x be f(10). Let n(p) = 2*p**2 + 6*p + 4. Does 10 divide n(x)? True Suppose -5*n + i = -150, 5*n - 176 + 26 = 5*i. Suppose 0 = -31*o + n*o + 66. Is 11 a fac
{ "pile_set_name": "DM Mathematics" }
s = -11*m + 9*m - 38. Solve 0 = 9*w - s + 3 for w. 2 Let j be 7/2*(-300)/(-21). Suppose -l = 0, -2*i - 3*i + j = 4*l. Suppose 4*k - 3*m - 43 = 0, -2*m = -k - m + i. Solve -5*f - k - 12 = 0 for f. -5 Let a be (2/(-6))/((-17)/102). Let f be (5/3)/(20/72). Let q be (3/2)/((-6)/(-8)). Solve q = -a*x + f for x. 2 Suppose -3*f - 12 = 0, -2*d + 3*f - 76 = 26. Let v = d - -63. Solve -v*p + 12 = -2*p for p. 3 Let s be 598/(-5) + 21/35. Let d = s + 124. Solve -2*r + d = 3*r for r. 1 Let l = -150 - -154. Solve -l*c + 1 = -3 for c. 1 Let z be 13*(-5)/(-2) + (-17)/34. Suppose -4*q - 12*q = -z. Solve 0*r + 6 = q*r for r. 3 Let d be (-36)/2*(-46)/92. Solve -3*s + d*s = -18 for s. -3 Let h(o) = -o**3 - o**2 - o - 1. Suppose 0 = -d + 4*j + 1 - 5, 2*j + 2 = 0. Let t = -9 - d. Let i be h(t). Solve i*y = 2*y + 2 for y. -1 Let u = 51 + -37. Suppose -u = 5*p + 4*h - 36, -3*h + 15 = 3*p. Solve 0*f = p*f + 10 for f. -5 Suppose -22*j + 55 = -17*j. Solve -j*t = 11 + 11 for t. -2 Suppose 0 = -3*h + 21. Let z be 2/6*(-3 - 0). Let x(o) = -13*o - 1. Let u be x(z). Solve -h*y + 3*y - u = 0 for y. -3 Suppose 12*l - 14 = 5*l. Solve 3 = l*h + 1 for h. 1 Let k(a) = -4*a - 51. Let g be k(-13). Solve -3 = v - g for v. -2 Suppose 0 = 3*d + d - 20. Suppose -5*w = -5, 2*w - 5*w = -d*g + 7. Solve -p - g = 2 for p. -4 Let t be (-184)/(-18) - (-88)/(-396). Solve -9*z = -t*z + 2 for z. 2 Let k be ((-63)/24 + 3)/(9/72). Solve -c - 7 + k = 0 for c. -4 Suppose 0 = 5*t + 30 + 5. Let f = -434 + 429. Let h = f - t. Solve -l - 2 = -h*l for l. 2 Let l be 6/8 - 85/(-68). Suppose 3*s + 5*k = 8*k + 6, k + l = -5*s. Solve s = -c - 5 - 0 for c. -5 Let d be (-3*(-17)/(-12))/((-11)/44). Solve 5*n = 7 - d for n. -2 Suppose -5*i - 2*v = -21, 2*i - v - 5 = 7. Let g(p) = p**2 - p + 1. Let s be g(2). Let u = i - s. Solve u*l + 3*l = 0 for l. 0 Let h be 1/(-2)*(4 + -4). Let p(t) = 2*t - 2*t**3 + 3*t**3 - 2 + h*t + 5*t**2 - 2. Let z be p(-4). Solve -8*d - 8 = -z*d for d. -2 Let d(x) be the second derivative of -x**4/12 - 5*x**3/6 + 13*x**2/2 + 2*x. Let j be d(-6). Suppose 8*v = j*v. Solve v = -2*w - 3*w for w. 0 Let k(m) = -4*m + 3. Let d be k(-7). Let p = d + -27. Solve 0 = -p*l - 1 + 17 for l. 4 Let v(b) = -b + 10. Let j be v(8). Suppose 3*x + 11 = 2, -x - 3 = -3*u. Suppose u = -y - 13 + 17. Solve y*g - 2 = j*g for g. 1 Suppose -33*k = -11*k. Solve k = -t - 0*t for t. 0 Let j(i) = 9*i + 315. Let t be j(-34). Solve -3 - t = -3*a for a. 4 Let s(b) = 57*b. Let i be s(3). Suppose -4*m = -5*u - 25 + i, -4*u + 5*m = -115. Solve -4*a + u = 10 for a. 5 Suppose 8*q - 4*v - 4 = 3*q, 5*q - 5*v = 5. Solve -3*i + q*i = 6 for i. -2 Let x(i) = -i**3 - i**2 + 6*i + 16. Let j be x(-3). Solve j = -3*k + 1 for k. -5 Let i be 0 - (4 + (0 - 22)). Suppose 2*m - i = -0*m. Suppose -5*q - 2*s + 1 + m = 0, 3*q - 4*s - 32 = 0. Solve 15 = -o - q*o for o. -3 Let q(a) = 6*a**2 - 40*a - 5. Let b(n) = 2*n**2 - 13*n - 2. Let s(g) = 14*b(g) - 4*q(g). Let k be s(6). Suppose 0 = 4*m + m - 30. Solve 0 = m*u - k*u for u. 0 Suppose -3*b = s + 8, 2*s + 1 = 8*b - 11*b. Solve -9 = 4*w - s*w for w. 3 Let l(t) = -t**3 - 7*t**2 + 8*t. Suppose -2*f + 8 = -3*f. Let y be l(f). Let v be 1 - (-5)/(10/4). Solve -v = -y*p + p for p. -3 Let d(x) = -x**3 + 11*x**2 + 26*x + 2. Let n be d(13). Solve -n*o - 5 = 3*o for o. -1 Let k = -433 - -436. Solve k*r + r = 20 for r. 5 Let a be (40 - 38)*5/2. Solve -a*w + 15 = -0 for w. 3 Let w = -19 + 24. Suppose 0*i + 3*i - 27 = 0. Suppose 0 = -w*o + 8*o - i. Solve -o*b = -4*b - 5 for b. -5 Suppose 3*q = 117*w - 121*w + 23, -4*w - q = -13. Let t = -2 - -3. Solve -3*n - w = t for n. -1 Suppose -3*k + 1 = -29. Suppose -8*m = -k*m. Solve m = 3*n + 1 + 2 for n. -1 Let f = 128 - 128. Solve f = 3*d - 0 - 15 for d. 5 Suppose -9*f + 5*f + 15 = 3*o, -f - o + 3 = 0. Solve f*b + 15 = 3 for b. -2 Let j(b) = -5*b - 2 + 0 + 2 + 1. Let p(x) = x. Let r(t) = j(t) + 6*p(t). Let m be r(1). Solve 0 = d - m*d for d. 0 Let z(r) = -r**3 - 3*r**2 - 4*r + 8. Let d be z(1). Solve d = 8*t + 11 + 5 for t. -2 Let s be ((-2)/(-3))/(4/(-24)). Suppose 21*r - 26*r + 55 = 0. Let z = r + s. Solve 2*w - z*w + 25 = 0 for w. 5 Let z(x) = -44*x - 25. Let c be z(-2). Solve -m + 60 = c for m. -3 Let o be (-4*10)/(-2) - -4. Let z = o + -21. Solve -z*l = l - 16 for l. 4 Let j = 129 + -127. Suppose l - 3*t = -8*t + 11, -t = -j*l. Solve -l = -0*m + m for m. -1 Suppose 8*g + 1165 - 1197 = 0. Solve 0 = 8*y - g*y for y. 0 Let c(n) = 2*n**3 + n + 7. Let i be c(0). Solve -2*g - i = -1 for g. -3 Let a be 4/(-18) - (-249)/27 - 4. Solve -2*r = -a*r + 15 for r. 5 Let l be 80/(-60)*6/4. Let p be (2 - 0)*6/4. Let n be (-15)/(-2) + p/l. Solve -n*r = -2*r for r. 0 Suppose -13 = -2*u - 2*u + 5*h, -2*h = -3*u + 8. Suppose -y + 10 = u. Suppose 5*j = 3*n, 3*n = -4*j - n. Solve 4*l + 4 + y = j for l. -3 Let h = 1151 + -1149. Solve -h*q = -226 + 236 for q. -5 Let z be (-1)/2 + (-50)/4. Suppose -2*l - 69 = -43. Let x = z - l. Solve -4*a + x*a + 12 = 0 for a. 3 Let f be 4 + -1 - (-12 - -8). Suppose f*w - 8 = 6*w. Let t be (-5)/(-10)*(-2 + w). Solve t*y = 5*y for y. 0 Let c be (-14)/(-3) + (-3)/(-9). Suppose 135 = c*o + 45. Suppose 20*t = o*t. Solve t = -4*z - 2 - 14 for z. -4 Suppose 4*c = -m - 0*m + 124, -5*c - 3*m = -155. Let k = -31 + c. Let r(v) = 2*v**3 - v**2 + v. Let b be r(1). Solve -b*o + 2 - 10 = k for o. -4 Let k be -2 - -1 - 4/12*21. Suppose 2*f + 22 = 4*z, 0*f - 5*f + 3*z - 27 = 0. Let g = f - k. Solve -25 = -g*u - 0 for u. 5 Let q be (-12)/(-6)*(3 - 1). Suppose -s + 4*u - 5 = 0, u = 3*s - 3 - q. Suppose -2*p - 7 = -3*p. Solve -s = -m - p for m. -4 Suppose 11*i - 46 = 53. Suppose -i*o = -1 + 1. Solve o*z = z - 1 for z. 1 Let j be (12/6 - 1) + -1. Let n(u) = u**2 + u + 1. Let d be n(-2). Suppose -d*h = -16 + 1. Solve -i + j - h = 0 for i. -5 Suppose -61*f = -59*f - 4. Solve f*k = -7*k - 27 for k. -3 Let c(o) = -o**2 - 5*o + 3. Let n be c(0). Let z be n/(-1 - (-4)/3). Solve -q - 2*q = z for q. -3 Let b(z) = 6*z + 74. Let g be b(-10). Solve g*i + 66 = -8*i for i. -3 Let s be (30/(-9))/(2/(-9)). Solve -10*p - 10 = -s*p for p. 2 Suppose 0 = h - 0*s - s, h - 4*s = -9. Suppose h*f - 66 = 9. Solve -7*g - f = -2*g for g. -5 Let v be 1/(((-2)/10)/1). Let p = 10 + v. Suppose -2*o - 4 = -4*b, 6*b + p = b + 5*o. Solve 9 = -0*r + b*r for r. 3 Let u(s) = -2*s + 90. Let d be u(41). Solve a = 2*a + d*a for a. 0 Suppose -2*s - 70 = -5*r + 3*s, 4*r - 3*s - 52 = 0. Solve r*v - 15 = 13*v for v. -5 Let z = 563 + -538. Solve 15*q = 20*q + z for q. -5 Suppose 0 = 5*x - 3*u - 60, -15 = -0*u + 3*u. Suppose 7*j - x*j = -12. Let g be (2/4)/(6/36). Solve 5*k - j = g*k for k. 3 Let j(n) = 1 - n - 766*n**2 - 2 + 771*n**2. Let d be j(1). Solve 0 = d*v + v + 8 for v. -2 Let c be 66/54 - (-4)/(-18). Let q be 12/(-4) + c + 3. Suppose 5*n - 22 = -x, 0 = -4*n - 0*n + 16. Solve q = -x*k - 3 for k. -2 Let h(f) = -2*f**3 - 131*f**2 - 189*f + 193. Let a be h(-64). Let o(m) = -m**3 - 5*m**2 - 6*m - 3. Let z be o(-4). Solve 2*b + z = -a for b. -3 Let j be 8/32 - 27/(-4). Solve 2*t + j = 13 for t. 3 Let q(z) = z**3 + 6*z**2 + 6*z + 7. Let w be q(-5). Solve -16*y + 34 - w = 0 for y. 2 Let l be 2/12 + 75*(-345)/(-270). Solve -3*z - l = -90 for z. -2 Suppose 3*m = 4*j - 43, 2*j - 3*j - 5*m + 5 = 0. Suppose -5*l - 12 = 2*b - 0*l, -4*b - l - 6 = 0. Let i be (b - 0)/((2/(-6))/1). Solve f = i*f - j for f. 5 Let c(z) = -z**3 - 6*z**2 + 7*z - 6. Suppose 5*g - 3*q + 35 = 0, -2*g = -7*g + q - 35. Let y be c(g). Let r be 50/15 + 2/y. Solve 4*w - 1 - r = 0 for w. 1 Suppose 4*r - 2*y - 261 = -11, 3*r + 5*y = 181. Let k = r + -59. Solve 1 + 5 = -k*f for f. -2 Suppose y = 2*d - 4*d + 22, 0 = -y. Let m = d - 6. Suppose 5*h + 6*p = p + 15, 5*p + 1 = 3*h. Solve -h*o = -m*o + 9 for o. 3 Suppose -40*h + 53*h = -3 + 3. Let u be ((-4)/2)/(-2)*3. Solve h = u*s + 9 for s. -3 Let q = -26 - -61. Let s = q + -28. Solve s*l = 3*l - 20 for l. -5 Suppose 5*k - 7 = 18. Suppose 2*i = -k*n + 20, 3*n + 0*i = 3*i + 12. Let a be 3 + 14 - 4/n. Solve 5*x = x - a for x. -4 Suppose 8 = 5*v - 2. Let n be v/(-4) + 11/2. Solve 7 = -n*u + 17 for u. 2 Suppose -17*j + 97 = -124. Solve 0 = 3*t - j + 22 for t. -3 Let g be -1*-16*6/12. Solve 14*w - g = 12*w for w. 4 Let i(d) = d**3 + 16*d**2 - 35*d + 24. Let g be i(-18). Solve g = k + 1 for k. 5 Suppose -92 = -2
{ "pile_set_name": "DM Mathematics" }
1273*d - 1273*d + d**2 in the form n*d + v*d**2 + t and give n. 0 Express (0 - 2 + 1)*(0*g + g + g)*(1 - 3 + 4) - g + 6*g - 2*g in the form u*g + x and give u. -1 Rearrange (2*y + y - 5*y)*(7 + 10 - 6) to the form i*y + d and give i. -22 Rearrange h - h - h**4 + (-5*h + 2*h + 0*h)*(-46 - 10*h**3 + 46) to the form s*h + f*h**2 + j + c*h**3 + v*h**4 and give v. 29 Express 5*g - 4*g + 0*g**4 - 2*g**4 + 1 - 3 as i*g**3 + j + y*g**2 + c*g**4 + k*g and give k. 1 Express -5*z - z + 5*z + (5*z - 6*z + 5*z)*(-5 + 10 + 4) in the form p*z + c and give p. 35 Rearrange (-2*b - 2*b + 2*b)*(-3 + 2 - 1)*(-2 + 2 + 3*b)*(0 - 1 + 0) to the form k*b + d*b**2 + p and give d. -12 Rearrange 56*t - 26*t - 36*t - 2*t**4 + 2*t**3 + 1 to the form m*t + b*t**2 + j*t**3 + q + p*t**4 and give j. 2 Express (-4 - 1 + 3)*(-10*n + 0*n - n) + 5*n + n - 4*n in the form j*n + d and give j. 24 Rearrange -3*l - 2*l - l - 13*l to the form o + m*l and give m. -19 Express 2 - 9*y + 10*y - 3 + 2*y in the form v + n*y and give v. -1 Rearrange -74*u**3 + 5*u + 74*u**3 - 4*u - u**4 + 2*u**2 to the form w + n*u**4 + t*u**2 + m*u**3 + f*u and give n. -1 Rearrange -28*k**2 + 34*k**2 - 4*k + k + 49*k**2 to w + u*k**2 + r*k and give r. -3 Express (c - 4 + 4)*(-7 + 1 + 0) as n + q*c and give q. -6 Rearrange -294*b**2 + 292*b**2 - 5*b + 0*b to the form g + k*b + w*b**2 and give k. -5 Rearrange 109 - 132 + 3*i**2 - 5*i**2 to the form z + y*i**2 + p*i and give z. -23 Express -11*z + 1 + 5*z**2 - 3*z**2 + 1 + 0 in the form g*z + m + i*z**2 and give g. -11 Rearrange w + 0*w - 10*w to s*w + k and give s. -9 Rearrange (0 + 3 - 2)*(-1 - 4 - 4)*(-1 + 3*o**3 + 1) to b*o + c*o**3 + h*o**2 + r and give c. -27 Express (111*o - 2 + o**2 + 132*o - 160*o)*(4*o + 0*o - 3*o)*(-2 - 1 + 2) as h*o**2 + z*o + w*o**3 + n and give w. -1 Rearrange 10*i - 20*i**3 + 2 - 10*i to n*i + g*i**3 + c + k*i**2 and give c. 2 Rearrange -4*x + 7*x + 18*x to g + p*x and give p. 21 Rearrange 2*g + 2*g + 0*g + 9*g**3 - 2*g - 1 to the form q + h*g**2 + t*g + k*g**3 and give t. 2 Rearrange 6057*q + 13*q**2 - q**2 - 2 - 6059*q to the form j*q + b + t*q**2 and give b. -2 Express 92*c**2 - 48*c**2 - 52*c**2 as z*c**2 + d*c + s and give s. 0 Rearrange (g**3 - 3*g**2 - 6*g**2 + 7*g**2)*(-3 + g + 0*g + 4) to r*g + k*g**2 + i*g**4 + f + y*g**3 and give i. 1 Rearrange -1 - 2*b**3 + 1 + b**2 - 3*b**3 to l + s*b**2 + h*b + p*b**3 and give l. 0 Express (2 - 6 + 0)*(-5*x - 3*x + 4*x) as j*x + s and give s. 0 Express -34*p**2 - 75*p**2 - 19*p**2 + 25*p**2 in the form d*p + h*p**2 + s and give h. -103 Rearrange (4*j**2 + 2*j - 2*j + 1)*(3*j**2 + 9*j**2 - 2*j**2) to the form g + o*j**4 + r*j**2 + i*j**3 + t*j and give r. 10 Rearrange (-5 + 4 + 4)*(0*d**3 - d**3 - 3*d**3) to l*d**3 + x*d**2 + b + r*d and give l. -12 Rearrange -19 + 66 + 2*f + 8 + 47 to the form s*f + w and give s. 2 Rearrange p**4 - 5*p**3 - 16*p**2 - 6*p**2 + 2*p**3 + 24*p**2 + 1 to the form z*p + m*p**2 + d + y*p**4 + o*p**3 and give m. 2 Express (-k**2 + 4*k**2 - k**2)*(50*k**2 + 52*k**2 - 99*k**2 + 3*k) as i*k**3 + u*k + d*k**2 + h*k**4 + o and give h. 6 Rearrange 19*y - 18*y + 2*y**2 - 3*y**2 to the form l*y + g + r*y**2 and give r. -1 Express (247 + v - 121 - 551*v**2 - 125)*(3*v**2 - 2*v**2 - 3*v**2) in the form k*v**2 + o + m*v**4 + l*v**3 + w*v and give l. -2 Express (-r - 4*r + 3*r)*(2*r**3 - 5*r**3 + r**3) + 15*r**4 + 0*r**4 - 9*r**4 - 2 - 2*r**4 + 2 in the form x*r**3 + g*r**4 + s*r**2 + t + p*r and give g. 8 Rearrange x + 3*x + 4*x + 3*x**2 to v*x**2 + o + c*x and give c. 8 Rearrange 5*a**2 - 9 - 10 + 18 - 2*a**4 - 6*a**2 to the form s*a + o*a**4 + q*a**2 + y*a**3 + z and give o. -2 Rearrange 7*r**4 - 14*r**3 - r - 1 + 14*r**3 to the form n*r**3 + a*r**4 + b*r**2 + u*r + x and give u. -1 Express 25*r - 16*r + 7*r + 1 as t*r + w and give w. 1 Express (3*g - g - g)*(30*g + 32*g - 66*g) in the form d + y*g**2 + w*g and give y. -4 Rearrange -135*i**2 + 3 + 136*i**2 - 1 + 8*i + (-1 - 1 + 0)*(-3*i**2 + 4*i**2 - 2*i**2) to w + o*i**2 + g*i and give w. 2 Express (124*n**2 + 73*n**2 + 8*n**2 + 77*n**2)*(-3*n**2 + n**2 + 3*n**2) as r + c*n**3 + f*n + p*n**2 + b*n**4 and give b. 282 Express 4 - 13*q**2 - 7*q**2 - 8*q**2 + 32*q**2 as m + u*q + g*q**2 and give m. 4 Express 2*z**2 - 2*z**2 + 2*z**3 - z**4 - 2*z**2 + 2*z in the form m + l*z + n*z**4 + y*z**3 + q*z**2 and give q. -2 Express 1549*v - 2*v**3 - 56*v**2 - 1549*v - 2*v**3 + 5*v**3 - 2*v**3 + 2*v - v**3 - 2*v + (-5 - 2 + 5)*(v**3 - 1 + 1) as i*v + h*v**2 + s*v**3 + q and give h. -56 Express (5*j - j - 2*j)*(5*j + 10*j + 7*j) + 0*j**2 - j**2 - j**2 in the form n + a*j + t*j**2 and give t. 42 Rearrange ((3 - 1 - 1)*(2 - 3 - 1) + 1 + 0 - 3 - 9 - 15 + 8)*(-2*d**3 - 5*d**3 + 5*d**3) to w + x*d**3 + k*d + m*d**2 and give x. 40 Rearrange -4*i**3 + 13*i**2 + 0 - 3*i + 1 - 15*i**2 to n*i**3 + z + c*i**2 + t*i and give t. -3 Rearrange 0 + z**4 - 3*z + 1 + 0*z**2 - 4*z**2 to v*z**4 + w + m*z**3 + h*z + f*z**2 and give v. 1 Rearrange -33*w - 39*w + 39*w to p*w + o and give p. -33 Express (-137 + 137 + 40*r**2)*(-2 - 1 + 1) - 2*r + 2*r**2 + 3*r + 0*r as u + g*r + h*r**2 and give h. -78 Express (2 + 48*b**2 - 52*b**2 - 39*b**2)*(1 - 1 - 3*b**2) in the form w*b + z*b**3 + q*b**4 + t*b**2 + a and give t. -6 Rearrange 0*g - g**3 + 7*g**2 + 0*g - 2*g**3 to the form r*g**2 + s + m*g + z*g**3 and give z. -3 Rearrange (-x**4 - x**4 + x**4)*(16 + 20 + 3)*(2 - 1 - 3) to the form t*x**3 + u*x + z*x**2 + o + m*x**4 and give m. 78 Express -127*m + m**4 + 125*m + 5*m**3 + 2*m**3 as v*m**2 + p*m**3 + u*m + f + r*m**4 and give u. -2 Rearrange (-3 - 1 + 0)*(3 - 3 + 1)*(0 + 0 - x + (-3*x + x + x)*(3 - 4 + 3))*(0 - 3 + 5) to o*x + a and give o. 24 Rearrange 7*a**3 + a**2 - a - 13*a**3 + 0*a**3 - 2*a to the form l*a**2 + c*a + r*a**3 + g and give c. -3 Rearrange (-5*o + 0*o - 3*o)*(2*o - 240*o**2 - 3*o + 241*o**2) to y*o**2 + w + b*o**3 + k*o and give y. 8 Rearrange -i**2 - 532 + 532 + i - 9*i to the form g*i + a + z*i**2 and give g. -8 Express -1 - 2*y**3 + 2*y**4 - 2 - 2*y**2 + 0*y**3 in the form n*y**3 + k + b*y**2 + g*y**4 + o*y and give k. -3 Express -u + 4*u - 2*u + (-3 + 0 + 0)*(-u - 7*u + u) in the form d + g*u and give g. 22 Rearrange -3*u**2 + u - 2*u**2 + 4*u**2 to the form x + w*u + v*u**2 and give v. -1 Express -3*d + 2*d - 5*d + 8*d - 20 in the form n*d + g and give n. 2 Rearrange (14 - 14 + f)*(f**2 - 5*f**2 + 6*f**2)*(2*f + 2 - 2) to y*f**4 + a*f + m*f**2 + h*f**3 + o and give h. 0 Rearrange (-a + 2*a - 3*a)*(0 + 4 - 3) + (-2 - 2 + 2)*(7 - 3 - 3)*(3*a - 9*a + 2*a) to u + l*a and give l. 6 Rearrange -4*d**4 + d**4 - 39*d**3 - 775*d**2 + 770*d**2 + (3 - 3 + 2*d)*(-2*d**3 + 0 + 0) + 1 - 1 + 2*d**4 to t*d**4 + g*d**3 + l*d**2 + a*d + u and give t. -5 Rearrange 2*t - 2*t - 8*t - 2*t to k + w*t and give w. -10 Rearrange -2 - 3 + 1 + 7*r**2 + 3 + 2*r**3 to x*r**2 + n*r + j + q*r**3 and give q. 2 Rearrange 58*d - 57*d + d**3 + d**3 + 5*d**2 to z*d**3 + x*d**2 + u*d + i and give u. 1 Rearrange (0*f**4 + 0*f**4 - f**4)*(35 - 26 + 48) to y*f**2 + q*f**4 + c*f**3 + h*f + m and give q. -57 Express -3*h**2 - 13*h**2 + 5*h + h - 4*h in the form q*h**2 + g*h + y and give q. -16 Express 93*b - 37*b + 6 - 8 in the form l + w*b and give l. -2 Rearrange 0*t**2 - 51*t**4 + 4 - 6 + t**2 + 53*t**4 to h*t**3 + q*t**2 + o*t + v*t**4 + r and give o. 0 Rearrange -5*n - 1 + n**3 + n**2 + 1 to l*n**3 + p*n + q + j*n**2 and give l. 1 Express 2*j + 14*j**2 - 46*j**2 - 2*j in the form b*j + o*j**2 + k and give k. 0 Express 62*r - 9*r - 13*r as c*r + l and give c. 40 Rearrange (t + 1 - 1)*(-20*t**2 - 64*t**2 + 36*t**2) to w*t**3 + i + y*t**2 + x*t and give w. -48 Express b**2 - 124 + 17*b + 3*b**3 + 244 - 122 as w*b**2 + n*b + r*b**3 + q and give q. -2 Express 42*b - 16*b - 14*b + b**2 + 1 - 14*b as x*b + j*b**2 + c and give j. 1 Express (92*a**2 - 65 + 36 + 29)*(0 + 0 + 2*a**2) in the form z*a + v + w*a**2 + h*a**3 + g*a**4 and give g. 184 Express 4*b**2 - 10*b**2 - b**2 - b**2 in the form n*b + j + i*b**2 and give i. -8 Express 20*m - 7*m + 75*m**2 - 13*m in the form h*m + p + n*m**2 and give n. 75 Rearrange (2 + 1 - 1)*(6*s**3 - 26*s + 26*s) to the form v*s**2 + w*s + a*s**3 + b and give a. 12 Express (-33 + 98 + 58)*(-5*h + 4*h + 0*h) + (-2 + 4 + 0)*(-h + 0*h - h) in
{ "pile_set_name": "DM Mathematics" }
x**2)*(0*x - 5*x + 18*x) to b*x**3 + r + o*x + n*x**2 and give b. -52 Express -5*n**4 - 14*n + 16*n - 11*n**2 + 2*n**2 + 4*n**4 - n**3 as i*n**4 + r*n**2 + p*n + s*n**3 + v and give i. -1 Express (6 - 3 - 4)*(0*u**2 + u**2 - 2*u**2) - 56*u**2 - 61*u**2 + 38*u**2 as b*u**2 + h*u + g and give b. -78 Rearrange -11 - 14*j + 61*j**3 - 59*j**3 + 5 to the form c*j**3 + v*j + r*j**2 + q and give v. -14 Rearrange -2*t + 5 - 12 - 2 - 55 - 53 to w*t + s and give w. -2 Express (-39 - 35*p**2 + 39)*(-7*p + 2 - 1 + 0) in the form a*p**3 + k*p**2 + g + r*p and give k. -35 Express (3*r - 9*r - 32*r)*(-2 + 2 + 2*r**2) - 2*r**2 - 6*r**3 + 2*r**2 + 7*r**3 - 5*r**3 + 2*r**3 in the form o*r + j + s*r**3 + n*r**2 and give s. -78 Express (3030*y - 5963*y + 3164*y)*(-y**2 + 5*y**2 + 0*y**2) as n*y**2 + s*y**3 + d*y + z and give s. 924 Rearrange (-389*h + 3 + 389*h - 25*h**2)*(-9 + 3 - 14) to t*h**2 + s + z*h and give s. -60 Express (185 - 197 - 310)*(4 - 5 + 3)*(-j + 2 - 2) as n*j + c and give n. 644 Rearrange 319*g**2 - 1310*g**2 + 7*g - 2*g - 5*g to r + d*g + o*g**2 and give o. -991 Express (9 - 29 + 5 + 14 - 59*n)*(-3 + 3 + 2*n) as c + g*n + i*n**2 and give g. -2 Express (8*q**2 + 2 - 7*q**2 + 21*q**2)*(1 - 1 - 2*q)*(2*q - 3 + 3) in the form g*q**3 + r + a*q**2 + m*q**4 + p*q and give r. 0 Express -513*v**3 + 2*v**2 + v**4 + 14*v + 252*v**3 + 260*v**3 as q*v**2 + p*v**3 + i*v**4 + d + h*v and give i. 1 Express -22 + 68 - 345*h**2 - 46 as v*h**2 + q + z*h and give v. -345 Express (6*d + 0*d - 4*d)*(3*d + 8*d - 2*d)*(-7*d**2 - 2*d**2 + 16*d**2) as g*d + i*d**3 + a*d**2 + j + u*d**4 and give u. 126 Express 0*w + 672*w**2 + 4*w - 548*w**2 as y + d*w**2 + m*w and give d. 124 Rearrange (-7 + 0 - 2)*(-3 - 4 - 5*g + 7) + 9*g - 75 + 75 to the form o*g + q and give o. 54 Express (-3*m + 3*m + 8*m)*(-1 - 1 + 1 + 7*m)*(6 + 1 - 5)*(-2 + 3 - 3) as p*m + n*m**2 + y and give n. -224 Rearrange -145*u**2 + 24 + 147*u**2 + 95 to the form g + c*u**2 + x*u and give g. 119 Rearrange -10 + 999*v**2 - 2*v + 2*v - 1008*v**2 - 6 to u + k*v**2 + y*v and give k. -9 Rearrange 347*c**3 + 343*c**3 + 30*c**4 - 692*c**3 - 1 to g*c + q*c**2 + i + j*c**3 + l*c**4 and give i. -1 Rearrange 950 - 950 - 129*n**2 to the form r*n**2 + u*n + m and give r. -129 Express 0*b**3 + 550 - 3*b**2 - 551 - 11*b**2 + 2*b**3 as a + n*b**3 + m*b + v*b**2 and give v. -14 Express (34*b + 21*b + 27*b)*(3 - 3 - 1) + (-3 + 4 - 2)*(-3*b - 3 + 3) as y + s*b and give s. -79 Express (-1 + 2 + 1)*(-51*f**2 - 482*f**2 + 77*f**2) as o*f**2 + l*f + a and give o. -912 Express -41*y + 0 + 71*y + 3*y**3 + 0 - 6 as k + t*y + v*y**3 + j*y**2 and give v. 3 Rearrange 75*x**2 - 271*x**2 - 354*x**2 - 216*x**2 + 158*x**2 to the form f + g*x + j*x**2 and give f. 0 Rearrange -28*f - 10*f - 3*f - f**2 - 6*f to q*f**2 + t*f + d and give q. -1 Express -22838*k + 11473*k - 2 + 11571*k as y + s*k and give y. -2 Express -264459*f**2 + 22*f + 8 + 264459*f**2 - f**3 as j + z*f + g*f**3 + w*f**2 and give g. -1 Express 10*r**3 - 32*r**3 + 13*r**3 - 56 in the form h*r**3 + c + i*r**2 + v*r and give c. -56 Rearrange (-441 + 441 - 476*m)*(-3*m + 0 + 0) to z*m**2 + y + d*m and give z. 1428 Express (2*a**2 - 1 + 1)*(310*a**2 - 2081*a + 2080*a - 102*a**2) as t*a**2 + b*a + d + n*a**4 + g*a**3 and give n. 416 Rearrange (-4*t + t - t)*(-2*t + 9*t + 0*t) - 3*t + 2*t**2 + 3*t to k*t + u*t**2 + m and give u. -26 Rearrange 76 - 43*g - 76 - 44 - 3*g + 44 + (-g + 3*g - g)*(-6 + 2 + 3) to l*g + w and give l. -47 Express (-4*c**2 + 5*c**2 - 4*c**2)*(1 - 3 + 0)*(-6 - 1 + 2) as y*c**2 + h*c + q and give y. -30 Express (0 - 2 + 4 - 2*x)*(-528*x - 13*x**2 + 528*x) as j + t*x + w*x**2 + g*x**3 and give w. -26 Express 0*h + 122 + 2*h - 117 in the form f*h + y and give y. 5 Rearrange ((-3 + 4 + 1)*(2 - 2 + 2) + (2 - 4 + 10)*(0 + 1 - 4))*(-d + 3*d + 2*d)*(0*d + 2*d + 2*d) to g*d + p + u*d**2 and give u. -320 Rearrange (-1 - 5*q - 5*q - 54*q)*(-q + q - q) to the form u*q + m*q**2 + d and give m. 64 Rearrange (-118 + 311 - 142)*(0*r**2 - r**2 + 5*r**3 + 0*r**2) to the form z*r + v*r**3 + u + p*r**2 and give p. -51 Rearrange 3 + 2*z**2 - 3 + 4 - 132 + 132 - 6*z**2 + (2 + 0 - 1)*(0 + z**2 + 0) to the form k + i*z + r*z**2 and give i. 0 Express 2*z**2 - 4*z**3 + 2*z**3 + 0*z**2 + z**3 + 125 as k*z**2 + i + y*z**3 + s*z and give y. -1 Express -10*o**2 + 6*o**3 - 7*o**2 - 10*o**3 - 7*o**3 + o + 12*o**2 in the form n*o**3 + i + d*o + r*o**2 and give n. -11 Express (-3*i + 14*i + 11*i)*(3*i**2 - i**2 + 0*i**2) + 0*i**3 + 3*i**3 - 2*i**3 + 6*i**3 - i**3 - i**3 as t*i**2 + c*i**3 + n + a*i and give c. 49 Express (-2 + 5 + 0)*(-2*k - 2 + 2)*(2 - 3 + 2 + (3 - 3 - 1)*(-7 - 8 - 9)) in the form f*k + d and give d. 0 Express -2*i - 431*i**3 - 94*i**3 - 10*i**3 - 387*i**3 in the form z*i**2 + u + g*i + m*i**3 and give m. -922 Rearrange (2*h - 6*h + 2*h)*(-2103*h**3 + 646*h**3 + 93*h**2 - 93*h**2) to c*h + o*h**4 + u*h**3 + q*h**2 + m and give o. 2914 Express 77*u + 180 - 79*u + 163 in the form y*u + f and give y. -2 Express -196*x + 4*x**2 - 76*x - 19*x - 11*x**2 + 9*x**2 in the form a*x**2 + o + b*x and give a. 2 Express (-38 + 113 + 10)*(-3 + 2*s**2 + 3)*(-s - 1 + 2*s - 2*s) as l*s + p*s**2 + z + q*s**3 and give q. -170 Express -6*l + 9*l**2 + l**2 + 11*l**2 - 11*l + 13*l**2 in the form b + o*l**2 + u*l and give u. -17 Rearrange 3*m**3 - 4*m**3 + 2*m**3 + (3 + 3 - 4)*(37*m**3 - 2*m**3 + 0*m**3) + (22*m + 18*m - 10*m)*(1 - 1 + m**2) to s*m**2 + j + k*m + t*m**3 and give t. 101 Rearrange -33*a**2 - 5151*a**3 - 5*a**2 + 5134*a**3 to s*a**3 + n*a**2 + u*a + q and give n. -38 Express 9*b**2 - 6*b**4 + 6*b**2 - 20*b**2 - 4*b**3 + 7*b**2 as m + p*b + c*b**2 + v*b**4 + y*b**3 and give p. 0 Express 6*i**3 + 104*i**2 + 8 - 205*i**2 + 99*i**2 - 2 in the form g*i**3 + o*i + p*i**2 + f and give p. -2 Express (0*c + 0*c + 2*c**2)*(3 + 1 - 2) + c**2 - c**2 + 2*c**2 + (-c**2 + 2 - 2)*(-26 + 27 - 43) as r*c**2 + s*c + n and give r. 48 Rearrange (5*i + 2*i - 5*i)*(14 - 234 - 25 + (1 + 0 - 3)*(0 + 0 + 2) - 3 + 4 + 0) to w*i + d and give w. -496 Express 4*z - 9*z - 2*z + 7*z + 2 - 46*z**2 - 2*z as s*z**2 + i*z + b and give s. -46 Rearrange -9 + 2 + 479*g**2 - 473*g**2 to the form x*g**2 + b*g + s and give s. -7 Express 38 + 20*k**3 - 40 + k**2 + 21*k**3 + k**2 - k in the form x*k + r*k**3 + j + d*k**2 and give r. 41 Express (-18*n + 7 - 7)*(-2 - 3 + 3) + (-3*n - 5*n - 12*n + 2)*(0 - 3 + 4) as o + d*n and give o. 2 Rearrange (-734 + 72*s**2 + 364 + 373)*(-s + 2*s**2 + s) to l*s**4 + y*s + i + g*s**2 + m*s**3 and give l. 144 Express (-2 + 1 + 4)*(0*i + 18*i - 3*i + (4 + 3 - 3)*(-i + i + 2*i)) as n*i + u and give n. 69 Rearrange 0*d**4 - 2*d**4 + 5*d**4 + (-2*d**3 + d**3 + 4*d**3)*(3*d - 19*d - d) to the form i*d**4 + w*d + t*d**3 + k + y*d**2 and give i. -48 Rearrange -2*x**3 + 2*x**2 - 17 - 2*x**4 - 254*x + 253*x + 16 to j*x**2 + o + i*x**4 + m*x + k*x**3 and give i. -2 Express (-2 - 23 - 15)*(37*b - 19*b + 23*b)*(-b + 3*b + 0*b) as a*b + s*b**2 + l and give s. -3280 Express 140 + 198*q + 195*q - 391*q in the form p*q + c and give c. 140 Rearrange -39331*i**3 - i**4 + 39331*i**3 - 3 - 4*i - 2*i**2 to the form x*i**4 + w*i**3 + m + y*i**2 + f*i and give y. -2 Rearrange (6733*f + 1868 - 1920*f - 1868)*(-5*f**3 + 3*f**3 + 0*f**3) to a*f**3 + u*f + r*f**4 + s + w*f**2 and give r. -9626 Express (j - 3*j - j)*(j - 4974 - 4982 - 4*j**2 + 9966) as i*j + c*j**3 + f*j**2 + q and give f. -3 Rearrange 12*p**3 + 21*p**3 - 13*p**3 + (3 - 3*p**2 - 3)*(p - p + p) + (-3 + 2*p**2 + 3)*(0*p + 6*p - 3*p) to the form q*p**2 + y*p + s + a*p**3 and give a. 23 Express (-2*m + 2*m + m**3)*(5 - m - 5) + m**2 - m**2 - 2*m**4 + (-19*m - 595 + 595)*(-916 + 916 - 2*m**3) as c*m**3 + w*m**2 + b*m + k + f*m**4 and give f. 35 Express -54*o - 68*o + 15*o**3 - 58*o + 192*o in the form h*o**3 + v*o + c*o**2 + s and give c. 0 Rearrange 3 - 10 + 23*j + 6 + 58*j to f*j + o and give f. 81 Express -122*o**3 + 38*o**3 - 7*o + 82*o**3 as i + a*o + q*o**2 + g*o**3 and give a. -7 Express (-5 - 24 + 4)*(-3 + 0 + 5)*(f + 0*f - 4*f + (-4 + 4 - 2*f)*(2 + 7 - 5)) as q*f + g and give q. 550 Express 4 - 4*o**4 + 22*o**3 - o**2 - 2 + 8*o**4 + o**2 as s*o**4 + u*o**2 + d*o**3 + m*o + x and give s. 4 Rearrange 159 - 28*i**3 - 23*i**3 - 154 to o*i**3 + y + u*i
{ "pile_set_name": "DM Mathematics" }
hen 9578 is divided by 3192? 2 What is the remainder when 1147 is divided by 144? 139 What is the remainder when 1278 is divided by 211? 12 Calculate the remainder when 425 is divided by 34. 17 Calculate the remainder when 477 is divided by 96. 93 What is the remainder when 398 is divided by 61? 32 What is the remainder when 4265 is divided by 8? 1 Calculate the remainder when 3007 is divided by 94. 93 What is the remainder when 151 is divided by 14? 11 Calculate the remainder when 489 is divided by 10. 9 Calculate the remainder when 19 is divided by 17. 2 Calculate the remainder when 921 is divided by 22. 19 What is the remainder when 14012 is divided by 182? 180 What is the remainder when 176 is divided by 92? 84 Calculate the remainder when 6062 is divided by 129. 128 Calculate the remainder when 149 is divided by 6. 5 What is the remainder when 56 is divided by 30? 26 What is the remainder when 204 is divided by 65? 9 What is the remainder when 83 is divided by 26? 5 What is the remainder when 2445 is divided by 8? 5 Calculate the remainder when 3013 is divided by 743. 41 What is the remainder when 78 is divided by 12? 6 What is the remainder when 2168 is divided by 9? 8 Calculate the remainder when 295 is divided by 99. 97 Calculate the remainder when 2152 is divided by 430. 2 Calculate the remainder when 124 is divided by 13. 7 What is the remainder when 16712 is divided by 61? 59 Calculate the remainder when 3624 is divided by 104. 88 Calculate the remainder when 387 is divided by 51. 30 Calculate the remainder when 6461 is divided by 175. 161 What is the remainder when 298 is divided by 60? 58 What is the remainder when 854 is divided by 85? 4 What is the remainder when 417 is divided by 101? 13 What is the remainder when 275 is divided by 22? 11 What is the remainder when 139 is divided by 32? 11 Calculate the remainder when 268 is divided by 149. 119 Calculate the remainder when 161 is divided by 82. 79 Calculate the remainder when 393 is divided by 6. 3 What is the remainder when 1099 is divided by 266? 35 Calculate the remainder when 14758 is divided by 9. 7 What is the remainder when 53 is divided by 6? 5 What is the remainder when 117 is divided by 34? 15 Calculate the remainder when 554 is divided by 361. 193 Calculate the remainder when 1524 is divided by 760. 4 What is the remainder when 165 is divided by 14? 11 What is the remainder when 39 is divided by 21? 18 What is the remainder when 15044 is divided by 228? 224 What is the remainder when 196 is divided by 67? 62 Calculate the remainder when 521 is divided by 155. 56 Calculate the remainder when 1883 is divided by 111. 107 What is the remainder when 31 is divided by 1? 0 Calculate the remainder when 185 is divided by 7. 3 What is the remainder when 5509 is divided by 190? 189 Calculate the remainder when 958 is divided by 74. 70 Calculate the remainder when 1526 is divided by 24. 14 Calculate the remainder when 2547 is divided by 28. 27 Calculate the remainder when 359 is divided by 13. 8 What is the remainder when 238 is divided by 11? 7 Calculate the remainder when 237 is divided by 75. 12 Calculate the remainder when 4684 is divided by 66. 64 Calculate the remainder when 124 is divided by 25. 24 Calculate the remainder when 172 is divided by 7. 4 Calculate the remainder when 26531 is divided by 18. 17 Calculate the remainder when 53 is divided by 12. 5 Calculate the remainder when 468 is divided by 6. 0 Calculate the remainder when 193 is divided by 61. 10 Calculate the remainder when 224 is divided by 75. 74 What is the remainder when 8116 is divided by 140? 136 Calculate the remainder when 49 is divided by 27. 22 What is the remainder when 9 is divided by 2? 1 Calculate the remainder when 356 is divided by 37. 23 Calculate the remainder when 124 is divided by 48. 28 Calculate the remainder when 172 is divided by 74. 24 Calculate the remainder when 2845 is divided by 19. 14 Calculate the remainder when 594 is divided by 119. 118 Calculate the remainder when 286 is divided by 36. 34 What is the remainder when 508 is divided by 31? 12 Calculate the remainder when 243 is divided by 102. 39 Calculate the remainder when 268 is divided by 16. 12 What is the remainder when 9 is divided by 4? 1 What is the remainder when 2399 is divided by 30? 29 What is the remainder when 164 is divided by 34? 28 Calculate the remainder when 279 is divided by 141. 138 What is the remainder when 1234 is divided by 40? 34 What is the remainder when 27 is divided by 5? 2 What is the remainder when 154 is divided by 6? 4 What is the remainder when 90 is divided by 26? 12 Calculate the remainder when 216 is divided by 125. 91 What is the remainder when 1183 is divided by 16? 15 What is the remainder when 4019 is divided by 201? 200 What is the remainder when 2131 is divided by 1019? 93 Calculate the remainder when 3134 is divided by 49. 47 What is the remainder when 83 is divided by 38? 7 What is the remainder when 627 is divided by 17? 15 Calculate the remainder when 934 is divided by 233. 2 What is the remainder when 177 is divided by 30? 27 What is the remainder when 546 is divided by 46? 40 What is the remainder when 206 is divided by 11? 8 Calculate the remainder when 49 is divided by 21. 7 Calculate the remainder when 106 is divided by 88. 18 What is the remainder when 262 is divided by 88? 86 Calculate the remainder when 82 is divided by 17. 14 Calculate the remainder when 3372 is divided by 225. 222 What is the remainder when 152 is divided by 28? 12 What is the remainder when 2507 is divided by 31? 27 Calculate the remainder when 74 is divided by 17. 6 What is the remainder when 1355 is divided by 6? 5 Calculate the remainder when 888 is divided by 27. 24 What is the remainder when 53 is divided by 32? 21 What is the remainder when 3826 is divided by 56? 18 What is the remainder when 1171 is divided by 8? 3 Calculate the remainder when 6343 is divided by 167. 164 Calculate the remainder when 226 is divided by 6. 4 Calculate the remainder when 172 is divided by 13. 3 What is the remainder when 506 is divided by 58? 42 Calculate the remainder when 16 is divided by 11. 5 What is the remainder when 139 is divided by 2? 1 What is the remainder when 249 is divided by 21? 18 What is the remainder when 1563 is divided by 29? 26 What is the remainder when 12 is divided by 1? 0 Calculate the remainder when 214 is divided by 21. 4 What is the remainder when 479 is divided by 32? 31 Calculate the remainder when 164 is divided by 110. 54 What is the remainder when 102 is divided by 21? 18 Calculate the remainder when 34 is divided by 19. 15 What is the remainder when 443 is divided by 120? 83 What is the remainder when 33 is divided by 5? 3 Calculate the remainder when 676 is divided by 132. 16 Calculate the remainder when 860 is divided by 24. 20 What is the remainder when 372 is divided by 127? 118 What is the remainder when 665 is divided by 74? 73 Calculate the remainder when 326 is divided by 119. 88 Calculate the remainder when 212 is divided by 98. 16 Calculate the remainder when 134 is divided by 9. 8 What is the remainder when 1650 is divided by 23? 17 What is the remainder when 248 is divided by 5? 3 What is the remainder when 7078 is divided by 23? 17 Calculate the remainder when 244 is divided by 82. 80 Calculate the remainder when 370 is divided by 101. 67 What is the remainder when 114 is divided by 60? 54 Calculate the remainder when 757 is divided by 369. 19 What is the remainder when 985 is divided by 12? 1 Calculate the remainder when 345 is divided by 71. 61 What is the remainder when 111 is divided by 41? 29 Calculate the remainder when 74 is divided by 13. 9 Calculate the remainder when 1342 is divided by 16. 14 What is the remainder when 343 is divided by 89? 76 Calculate the remainder when 230 is divided by 4. 2 What is the remainder when 284 is divided by 216? 68 What is the remainder when 7849 is divided by 50? 49 What is the remainder when 38 is divided by 11? 5 Calculate the remainder when 62 is divided by 36. 26 What is the remainder when 4068 is divided by 185? 183 Calculate the remainder when 57 is divided by 43. 14 What is the remainder when 486 is divided by 447?
{ "pile_set_name": "DM Mathematics" }
e -2*-128809585. 257619170 Work out 2.2 * 546.5845. 1202.4859 What is -0.9854 times -9.74? 9.597796 Work out 5 * 70947894. 354739470 Multiply 0.6 and -2663.9327. -1598.35962 Multiply -1.012135 and -3. 3.036405 Work out -1448146 * -2. 2896292 Work out 3.48077 * -46. -160.11542 What is the product of -7 and 242.337? -1696.359 What is -13679 times 91.75? -1255048.25 Product of 5 and 4.35451467. 21.77257335 -7057.51 times -1 7057.51 Calculate 73123*352. 25739296 -694 times 105 -72870 Product of -51.7 and 818044. -42292874.8 -10749134*-0.8 8599307.2 Work out -111458.0678 * -0.2. 22291.61356 -28*-0.933398 26.135144 Calculate 70*223983. 15678810 What is the product of -2.14694 and -7.87? 16.8964178 What is -7 times 0.52228? -3.65596 -144 * -0.13967 20.11248 164 times 566469 92900916 Work out 0.0778 * -31.57. -2.456146 0.172301 * 40 6.89204 What is 0.4 times -0.6666619? -0.26666476 What is -0.019 times 23493.6? -446.3784 Multiply -1946732 and 7. -13627124 What is the product of -7187002 and 5? -35935010 What is the product of -0.09 and -100.59665? 9.0536985 -0.0426157 * 2 -0.0852314 Multiply 0.3 and 0.1131613. 0.03394839 78249328*-1 -78249328 -4 times 483.9445 -1935.778 0.3 * -11386.157 -3415.8471 -0.4 * -172463540 68985416 Multiply -29.758 and 38.78. -1154.01524 What is the product of 220925 and -0.25? -55231.25 Product of -136.105 and 0.037. -5.035885 Product of 32 and -0.11682726. -3.73847232 What is 0.1 times -97679713? -9767971.3 Product of -0.7 and -1111441. 778008.7 Calculate 0.2*4743897. 948779.4 -14491*1.4632 -21203.2312 Multiply -7.49235647 and 0.2. -1.498471294 -0.3 times 17822971 -5346891.3 What is 4.891463 times -7? -34.240241 What is the product of -148 and -88421? 13086308 -0.08*8383956 -670716.48 Work out 922049 * 19. 17518931 -2088046*632 -1319645072 Product of 2.02 and -790323. -1596452.46 -0.156894256 times 1 -0.156894256 25.4505 times 469 11936.2845 What is 78.6632 times -78? -6135.7296 Product of -1009.955 and -158. 159572.89 Work out 231 * 55115. 12731565 Multiply 1.95 and -10.8093. -21.078135 What is 237.5459 times 4? 950.1836 What is the product of 2 and 3741.76? 7483.52 What is the product of 68847500 and 3? 206542500 43 times 5645180 242742740 Calculate 7902.75758*-0.3. -2370.827274 Product of 2 and 2579.47765. 5158.9553 Product of 0.0611434 and 259. 15.8361406 Calculate 1313*32471. 42634423 -2 * -992724.4 1985448.8 What is the product of 0.006 and 4218263? 25309.578 -12679 times 79999 -1014307321 0.065984 * -0.0584 -0.0038534656 Multiply 26533941 and -0.5. -13266970.5 Product of -43070728 and 0.2. -8614145.6 -0.01 * -3740.479 37.40479 Multiply 0.1 and -1.3315495. -0.13315495 What is the product of -0.5 and -20361994? 10180997 14408 * -2861 -41221288 Multiply -2 and 145845.72. -291691.44 0.5 times -5665.328 -2832.664 -494301 times -0.1 49430.1 Work out 4443.71 * -0.123. -546.57633 Calculate -22845389*0.2. -4569077.8 Calculate 0.19*0.72579. 0.1379001 Work out 3.9 * -2.1989. -8.57571 Product of 13.82 and 8.52. 117.7464 Multiply -39387239 and -1. 39387239 Work out 158761 * -190. -30164590 Product of 0.5 and 779936.4. 389968.2 Work out 345548729 * 0.4. 138219491.6 Product of 44715330 and 6. 268291980 Product of 2 and 6925278. 13850556 -0.5*-17771.704 8885.852 What is the product of -2469038 and -64? 158018432 Product of 3.4 and 457.0239. 1553.88126 -0.2*-2403.003 480.6006 939655899*-0.2 -187931179.8 Work out -7542249 * 10.9. -82210514.1 What is the product of -1061 and -32.279? 34248.019 33.6774339 times -0.1 -3.36774339 8032 times 6519 52360608 Work out 18.570811 * -5. -92.854055 Calculate -7475829.7*-0.01. 74758.297 16 * 0.0833673 1.3338768 What is the product of 112090 and 0.3545? 39735.905 0.532333*20 10.64666 Multiply -3726 and -5396. 20105496 Product of 4.5 and -7544.3. -33949.35 What is -3 times -6771868.6? 20315605.8 -26*151771 -3946046 What is -4 times 5.908804? -23.635216 Work out 4399 * 0.0484. 212.9116 0.03*-2047537 -61426.11 Multiply -1 and -12599820. 12599820 What is -122.466 times 16.3? -1996.1958 9009726*5 45048630 3116824 times -13 -40518712 0 times 2007.92679 0 Multiply -574334 and -25.4. 14588083.6 -0.4 * 0.28537188 -0.114148752 -131.3728 times 0.11 -14.451008 What is 2 times 34811010? 69622020 Product of 521 and -109.53. -57065.13 Calculate -88.5*-0.5983. 52.94955 Calculate 4*-9449.52. -37798.08 6783*0.0471 319.4793 Multiply -1896555 and -36. 68275980 123301 * 442 54499042 Multiply -1.036 and 45.4388. -47.0745968 -6593.1 times 4.82 -31778.742 What is -33.793 times -4641? 156833.313 Product of -0.1 and 687232. -68723.2 What is the product of -5.8 and 112031? -649779.8 What is 894.9068 times 36? 32216.6448 What is -102.5688 times -0.08? 8.205504 -40*1749573 -69982920 Multiply -0.2 and 2728383. -545676.6 -2.5*1242215 -3105537.5 Multiply -0.027924 and 153. -4.272372 What is the product of -21894828 and -2? 43789656 Work out -1308009 * -0.4. 523203.6 What is 0.16 times -1263434? -202149.44 What is -0.021853 times 36.69? -0.80178657 Product of -3 and 112033.6. -336100.8 -0.1*1119117 -111911.7 What is the product of -580322 and 59? -34238998 60879105 times -1 -60879105 0.3 * 126745.1 38023.53 What is 1512.68 times -1103? -1668486.04 0.189972 times -30 -5.69916 5*5116932 25584660 60.738 * 0.196 11.904648 Product of -40 and 4337015. -173480600 -3217118.85*-3 9651356.55 Calculate -17411400*-0.11. 1915254 What is the product of -4677367 and 0.3? -1403210.1 What is the product of 1595777859 and 0.4? 638311143.6 -364.301*0.19 -69.21719 Work out -14604300 * 0.11. -1606473 Calculate -622120979*0.5. -311060489.5 -0.957478 * -641 613.743398 -5.2*67502 -351010.4 Calculate 1934318*-0.04. -77372.72 Multiply -625750 and 26.1. -16332075 -25.401 * -20 508.02 8714.12*-23 -200424.76 643389.169 * -0.1 -64338.9169 Multiply -14546 and -2.8. 40728.8 Multiply 28 and 61.7412. 1728.7536 What is -0.45 times 36385588? -16373514.6 Calculate -0.0496*42.6337. -2.11463152 Multiply 2.2332641 and -10. -22.332641 Multiply 0.26 and -1815779. -472102.54 Multiply -0.5 and -9.99108. 4.99554 -0.21 times -278204 58422.84 Multiply -2499163 and -21. 52482423 Work out -855 * -2131. 1822005 95038.7 times 853 81068011.1 Calculate 0.339*-232587. -78846.993 What is the product of 97.4641 and 608? 59258.1728 Calculate 47905*0.0345. 1652.7225 Work out -1043 * -12320. 12849760 -1.04094*26.1 -27.168534 Product of -3871 and -0.4984. 1929.3064 3.4751 * -0.2978 -1.03488478 -26708 * 4817 -128652436 Work out -988790 * 29. -28674910 What is the product of -729972.91 and 0.4? -291989.164 What is -0.31179 times -0.13665? 0.0426061035 Work out -0.1 * -15651926. 1565192.6 What is the product of -2 and 27522286? -55044572 Multiply -4198 and -49.47. 207675.06 Work out -15 * -0.8988529. 13.4827935 Work out -0.1 * -1873828. 187382.8 1263 times 4100 5178300 -169313.988 times -0.3 50794.1964 Calculate 0.028*-48.6346. -1.3617688 What is -36.778 times -14487? 532802.886 Multiply -2.4397 and -2.53. 6.172441 393421 * -36 -14163156 3774.8 * -16.21 -61189.508 13 * -29467 -383071 What is the product of -248079 and -0.44? 109154.76 Product of 0.1 and 32030373. 3203037.3 What is the product of 4614192 and -7? -32299344 1*-400530696 -400530696 1.04 * 476.6667 495.733368 -10895484 times 0.05 -544774.2 What is -351.6293 times -3? 1054.8879 Multiply -0.813 and 138259. -112404.567 What is the product of -70503 and -0.0048? 338.4144 799090 * -155 -123858950 What is -55758588 times 0.04? -2230343.52 Calculate -3532071*3. -10596213 Work out 13.479 * -788. -10621.452 Work out -536851 * 0.03. -16105.53 15470046 * 0.1 1547004.6 What is the product of 102479 and -0.18? -18446.22 -6 * -25675862 154055172 Multiply -26 and -1.024152. 26.627952 What is -4190 times -0.01072? 44.9168 24371*-82 -1998422 0.035844*-0.0001 -0.0000035844 What is the product of -1.76 and 0.0688? -0.121088 What is the product of 367346 and -8? -2938768 43*728605 31330015 5771466 times 0.4 2308586.4 Product of 0.030438 and 7.5. 0.228285 What is the product of 6.62 and 3827? 25334.74 -450 times 16.64 -7488 142485 times -7 -997395 -2678.8*0.311 -833.1068 Calculate 0.096*-203400. -19526.4 What is 4.624 times -121.61? -562.32464 Calculate 0.01*3266069. 32660.69 Work out 381712 * 523. 199635376 0.5 * 60388830 30194415 Multiply 0.8 an
{ "pile_set_name": "DM Mathematics" }
71 a factor of 18390099? True Is 460 a factor of 28613632? False Is 76783996 a multiple of 1120? False Is 7511658 a multiple of 3? True Does 21 divide 82770380? False Is 2594 a factor of 157071888? True Does 2982 divide 2497580064? True Does 74 divide 971026742? True Is 76794741 a multiple of 9? True Is 6 a factor of 45745844? False Does 461 divide 72580301? True Does 280 divide 40191760? True Does 533 divide 10182432? True Is 191758556 a multiple of 116? True Is 63457002 a multiple of 1240? False Is 841 a factor of 42784193? True Is 457263640 a multiple of 20? True Does 549 divide 42790158? True Is 125 a factor of 535841133? False Is 2806 a factor of 110727566? True Is 847231336 a multiple of 1412? False Does 562 divide 109414844? False Is 2654618 a multiple of 34? True Does 5 divide 164289? False Is 307507010 a multiple of 46? True Does 15 divide 594255866? False Does 15 divide 46158075? True Is 1360 a factor of 135128240? True Does 345 divide 81447656? False Is 10 a factor of 55831898? False Does 26 divide 114189972? True Is 327650235 a multiple of 123? False Is 2531 a factor of 1769996637? True Is 17512509 a multiple of 954? False Is 2 a factor of 161713231? False Does 19 divide 203077497? False Is 4463155 a multiple of 709? True Does 430 divide 74577910? True Is 18 a factor of 703127? False Is 52360899 a multiple of 3? True Is 44547135 a multiple of 32? False Is 3 a factor of 77580351? True Does 206 divide 77424730? False Is 12 a factor of 497576141? False Is 702968254 a multiple of 615? False Does 379 divide 223714983? True Does 114 divide 1892045891? False Is 300 a factor of 41695630? False Is 852108855 a multiple of 151? True Is 353555367 a multiple of 2181? True Does 35 divide 272421651? False Is 67 a factor of 9922016? False Does 514 divide 15293042? True Does 42 divide 694758027? False Does 903 divide 20152251? True Does 35 divide 8386000? True Is 91 a factor of 320723858? True Does 814 divide 1176794308? False Is 10112345 a multiple of 5? True Does 435 divide 22291575? True Is 2378588363 a multiple of 6512? False Does 3 divide 218116959? True Does 701 divide 1837267? False Does 33 divide 90443544? False Does 47 divide 7746493? True Is 8037844 a multiple of 849? False Is 1557 a factor of 20507247? True Is 362 a factor of 62714488? False Is 41 a factor of 81685874? False Does 10 divide 31581530? True Does 477 divide 149856705? True Is 573682900 a multiple of 10? True Is 843 a factor of 28506888? True Is 5 a factor of 3600250? True Is 532898183 a multiple of 98? False Is 433 a factor of 19540113? False Does 943 divide 5434456192? True Is 2001965 a multiple of 499? False Is 2169665790 a multiple of 1059? False Is 126 a factor of 61584512? False Is 699 a factor of 2479533192? False Does 8 divide 74261826? False Does 61 divide 11206293? False Does 58 divide 2548404? True Is 14597899 a multiple of 8? False Does 260 divide 5301400? True Is 198 a factor of 13767138? True Does 15 divide 1016044065? True Is 518 a factor of 7326074? True Is 126 a factor of 541081? False Is 162069895 a multiple of 5? True Is 249819976 a multiple of 8? True Is 57986739 a multiple of 6? False Is 60 a factor of 483660? True Does 3 divide 36499674? True Does 52 divide 4738333? False Is 259 a factor of 1112407331? True Is 40 a factor of 32556520? True Is 182167861 a multiple of 316? False Is 13 a factor of 264153164? False Does 11486 divide 2828862253? False Does 251 divide 26043437? False Does 44 divide 833018120? True Is 195028299 a multiple of 25? False Is 2 a factor of 11686943? False Does 65 divide 702079399? False Does 1874 divide 240481050? True Is 180816548 a multiple of 473? True Is 20 a factor of 3513557? False Is 42 a factor of 26963230? False Does 23 divide 9664899? True Does 33 divide 183182200? False Is 205487462 a multiple of 16? False Is 73 a factor of 37855870? False Does 16 divide 58875655? False Does 1336 divide 44833274? False Is 2755081 a multiple of 125? False Does 1071 divide 4197208420? False Is 271497671 a multiple of 30? False Is 14 a factor of 467887364? True Does 12 divide 271834? False Does 259 divide 3828448? False Is 31 a factor of 4115746? True Is 69691359 a multiple of 3? True Is 1932 a factor of 53300537? False Does 57 divide 1363839? True Is 24878112 a multiple of 28? True Is 601255080 a multiple of 4990? True Does 504 divide 42948761? False Is 3119 a factor of 153546858? False Is 377 a factor of 207041752? False Is 18377765 a multiple of 119? True Is 3568 a factor of 956777040? True Is 796 a factor of 17117342? False Is 10929240 a multiple of 3? True Does 573 divide 35216007? True Is 44056440 a multiple of 18? True Does 12 divide 1510481580? True Does 531 divide 4579342? False Is 203292561 a multiple of 263? False Is 13856850 a multiple of 18? True Does 20 divide 6011388540? True Does 393 divide 62116231? False Is 28902588 a multiple of 286? True Does 17 divide 27092050? True Is 170 a factor of 439334297? False Is 6 a factor of 263825743? False Is 15 a factor of 67922535? True Is 1809538041 a multiple of 16? False Is 35133098 a multiple of 161? True Does 183 divide 365938878? True Does 532 divide 56262748? False Does 4 divide 19823673? False Is 122425906 a multiple of 6382? True Is 11 a factor of 64612235? False Is 166212234 a multiple of 391? False Does 6 divide 4604243? False Is 499 a factor of 146845031? False Is 30 a factor of 13340910? True Is 28 a factor of 86255120? True Is 84736938 a multiple of 1234? False Is 101608351 a multiple of 38? False Does 443 divide 22202634? False Does 43 divide 10079415? True Is 18052020 a multiple of 20? True Is 123097305 a multiple of 367? True Is 31 a factor of 603152485? False Is 138 a factor of 736725764? False Does 2305 divide 19634295? False Does 8 divide 25791601? False Does 18 divide 1768221465? False Is 308 a factor of 3525501673? False Does 10 divide 197019208? False Is 1974391038 a multiple of 7? False Is 73 a factor of 84903002? False Does 642 divide 86405496? True Is 261 a factor of 21632202? True Is 10059754 a multiple of 122? True Is 18 a factor of 2821785898? False Does 3432 divide 4074089398? False Does 13 divide 24310702? True Does 26 divide 66729520? True Is 6080300 a multiple of 41? True Does 235 divide 18597665? True Is 146 a factor of 198073966? True Is 183702350 a multiple of 4090? True Is 232 a factor of 45214480? True Is 182547972 a multiple of 306? True Is 41 a factor of 122076176? False Does 42 divide 2338979808? False Does 43 divide 14494696? False Is 172 a factor of 53921656? True Does 19 divide 70569097? True Is 217101114 a multiple of 2805? False Does 788 divide 40421757? False Is 491 a factor of 225146577? True Is 304 a factor of 27174560? True Is 2637190 a multiple of 10? True Does 45 divide 25738020? True Is 438 a factor of 184802712? True Is 9826950 a multiple of 21? True Is 30789189 a multiple of 46? False Is 4171310150 a multiple of 35? True Is 28 a factor of 47527317? False Is 1633 a factor of 751183266? True Does 12 divide 4250796? True Is 130522446 a multiple of 82? False Is 700 a factor of 21632513? False Is 70974425 a multiple of 10? False Does 155 divide 90573817? False Is 29 a factor of 9644617? True Is 10270 a factor of 6390312370? True Is 98 a factor of 49939330? True Does 371 divide 288799233? False Is 1280637516 a multiple of 7314? True Is 28 a factor of 88980412? False Does 8 divide 293111441? False Is 142157281 a multiple of 47? True Does 65 divide 11991663? False Does 41 divide 9371393? False Is 298 a factor of 4554923? False Does 52 divide 106711991? False Is 763935846 a multiple of 46? True Is 9652 a factor of 1715000304? False Does 255 divide 47330193? False Is 1534 a factor of 1815005790? True Is 202377712 a multiple of 8? True Does 5910 divide 1485726720? True Is 1939920759 a multiple of 31? True Is 15 a factor of 41275211? False Does 10 divide 10933293? False Does 125 divide 1994740250? True Does 7 divide 81163027? False Is 134946918 a multiple of 6? True Is 1438 a factor of 166858330? True Does 4165 divide 144879525? True Is 41130802 a multiple of 181? True Is 42695699 a multiple of 748? False Does 156 divide 2576121756? True Does 571 divide 26897226? False Is 354865033 a multiple of 23? False Is 638040956 a multiple of 27? False D
{ "pile_set_name": "DM Mathematics" }
74158 Sum 24435876.821 and -0.372. 24435876.449 96.94 - -4.032322768 100.972322768 Sum 4247 and -7199455974. -7199451727 Calculate 374 - 1008.896536. -634.896536 Add -33 and -191812156809. -191812156842 Subtract 737919769.1 from -4.845. -737919773.945 Work out -7248.95537 - 0.02217. -7248.97754 What is the difference between -18.23 and 96159698265? 96159698283.23 Subtract -2 from -64982395047. -64982395045 Subtract -408504 from 178692. 587196 What is -1 minus 104811.39241014? -104812.39241014 What is 12348641099323 take away 0.7? 12348641099322.3 Sum 0.79653 and -2109578635. -2109578634.20347 What is -0.5 take away -23416120.3616? 23416119.8616 What is 1830652.257 less than 0.101? -1830652.156 What is -3 take away 7.50514176? -10.50514176 What is 25877628518 plus 233.7? 25877628751.7 What is -0.59383199 minus 24.2819? -24.87573199 -210399065+85.7207 -210398979.2793 Total of 18805360 and -0.4777. 18805359.5223 What is 0.01356563353 - 3161? -3160.98643436647 What is -92787950311.712 less than 0? 92787950311.712 Add -4558030119 and 56304. -4557973815 Calculate -0.15 - 4774844919151. -4774844919151.15 What is -6172137 less than -87244? 6084893 0.1 + 0.32140662870523 0.42140662870523 Sum 25.385129 and -14985. -14959.614871 What is -11622110321326 less than -0.3? 11622110321325.7 -3772 - -213821754 213817982 What is 14108233539.365 take away -5? 14108233544.365 Put together 62.1 and 338529.1993. 338591.2993 Work out 236061616609 + 0. 236061616609 What is 1547799011 take away -58? 1547799069 Add 0.00420954885 and 55. 55.00420954885 Calculate -146010.25724 + 0.28. -146009.97724 -0.0202+-11231045.01438 -11231045.03458 Work out -576 + 4114831597. 4114831021 Total of -3047425798 and 13. -3047425785 What is 3271511.383 - -2799? 3274310.383 687.2499 - 166725 -166037.7501 What is the difference between 0.3 and 38206928580660? 38206928580659.7 Calculate 1099455681 - 230. 1099455451 What is 45859 + 2971.561286? 48830.561286 Total of -3656 and -11.14336063. -3667.14336063 What is the difference between 0.3 and 4397481603345? 4397481603344.7 -0.21507 - 332413932 -332413932.21507 Add 0.038087 and -0.8744862716. -0.8363992716 Sum -497959469.45 and 1.8. -497959467.65 What is 2 plus -2526460.7057603? -2526458.7057603 What is -31310 + -0.530257? -31310.530257 What is -2 take away 383967613? -383967615 -10908926.019 - 112 -10909038.019 Calculate 0.82301 - -295.891038. 296.714048 Put together 70097468 and 1.09931. 70097469.09931 Subtract 16282 from -7769.37. -24051.37 What is 8017365 + -5.464? 8017359.536 Subtract 23.63581 from 0.035721743. -23.600088257 Work out -4 + -934629921735. -934629921739 Work out 142.1401 - 373.2968. -231.1567 Total of -31 and 547559873887. 547559873856 What is 72500.36099993 minus 0.43? 72499.93099993 Calculate -5 - -581846483625. 581846483620 What is 0.1 minus 7146132.4028? -7146132.3028 Work out 1097 - 1993440383. -1993439286 60.49+-6116.5229 -6056.0329 What is 0.03928645561 minus -75.53? 75.56928645561 What is the difference between -7.869083346 and -29? 21.130916654 What is 0.1 minus 2648199.3102? -2648199.2102 What is -1065.222654 take away 152? -1217.222654 Work out 514959.5587 - -0.651. 514960.2097 Calculate -671894418856 + -0.2. -671894418856.2 Add -448970.97 and 1.864. -448969.106 What is the distance between -9425 and 50532170? 50541595 Work out 139736 - -419287167. 419426903 Work out 1911782416056 + 0.03. 1911782416056.03 What is the difference between 10.210937 and 2.1703546? 8.0405824 Subtract 300916.801776611 from -0.3. -300917.101776611 Sum -222 and 2.83475848431. -219.16524151569 What is -0.391624 + 1008.079? 1007.687376 What is -159423083.3448 take away -0.6? -159423082.7448 Calculate -549954520571 - -153. -549954520418 Add together -58065 and 51603292. 51545227 2259 - 0.7240686705 2258.2759313295 0.2+217883721530 217883721530.2 Add -226325.33 and 7558. -218767.33 What is -16.54 less than -2980907088? -2980907071.46 Put together -344 and -29875994889. -29875995233 What is -319 minus -1109439235? 1109438916 -1.66861 + 5590113 5590111.33139 -0.2303061705 - -870 869.7696938295 Sum -0.1 and -34177162292656. -34177162292656.1 Subtract -0.2 from -1188167674972. -1188167674971.8 What is 0 plus -53917365064? -53917365064 What is 4309621 take away -19952? 4329573 What is -403535352 take away -0.10066? -403535351.89934 Calculate 16707766 - -676936. 17384702 Work out 21 + -4821165253. -4821165232 32592.6+0.145093165 32592.745093165 What is the distance between 5.2 and -54503795177.59? 54503795182.79 Sum -3212625560580 and -0.3. -3212625560580.3 What is the distance between -40.44193316795 and -0.8? 39.64193316795 What is the distance between 97 and -2181718.988? 2181815.988 0.02697+-810.081343 -810.054373 Sum 3944 and -2136840762. -2136836818 What is -59.8193 plus 5770040? 5769980.1807 Sum 36953.97 and 92908. 129861.97 What is -258292 minus 196928.1092? -455220.1092 7.69 - 1215925400 -1215925392.31 Sum 5.33 and 75.6472297. 80.9772297 Sum 0.134844688905 and -846. -845.865155311095 Add 102495 and 38472400. 38574895 Calculate -67.4662437361 + -2. -69.4662437361 What is 118 plus 0.895666405? 118.895666405 What is -164 - -18187.0656? 18023.0656 What is -0.04238850986 plus -1.3? -1.34238850986 Subtract -139247 from 44718126. 44857373 Subtract 1880946714 from -0.146. -1880946714.146 Subtract -2242076006 from -0.727. 2242076005.273 What is the difference between -65476988938.18 and 0.1? 65476988938.28 What is 504587339014 take away 99? 504587338915 Work out -113 - 8.5753425236. -121.5753425236 Work out -1760 - -146740865. 146739105 What is the distance between -26047.549 and 0.04453? 26047.59353 What is 1.071839374553 - 5? -3.928160625447 Sum 0.1 and 0.043921712422. 0.143921712422 6 - -0.17160880450563 6.17160880450563 Work out -23.8838472257 - -9.27. -14.6138472257 148506953 - -0.1894 148506953.1894 What is the difference between -170.1849 and 42797038? 42797208.1849 What is -20 - -122953.828809? 122933.828809 -28.7+-0.0011799325561 -28.7011799325561 What is -1 + 0.580115841229? -0.419884158771 Calculate -22778 + 7.118532491. -22770.881467509 Work out -333 + -13333051.23. -13333384.23 Total of -0.4 and -0.5426425201377. -0.9426425201377 What is -1975086880 plus -1330? -1975088210 What is 165831 minus 133465858? -133300027 Add -7 and 750252199872. 750252199865 Work out -1578.128 + 21238887. 21237308.872 -5 + 2822.82375705 2817.82375705 What is -4396.42623 less than 201525? 205921.42623 What is 1529004 + 4378366? 5907370 Put together -850857 and 276.445. -850580.555 What is the difference between 2.29928 and 4505967.9? 4505965.60072 What is 14.8 plus 21246970295? 21246970309.8 Work out 437 - 74532.20253. -74095.20253 What is 0.04 take away 58.6582554367? -58.6182554367 Subtract -178.67787962 from -152. 26.67787962 What is 5627665459470 less than 0? -5627665459470 7069893290721 + 0 7069893290721 Calculate -2 - 3416.10527168. -3418.10527168 Add together -7390 and -0.1771529151. -7390.1771529151 Calculate 0.619 + -15041815057. -15041815056.381 Work out -13559.6 - -0.2089902. -13559.3910098 What is 0.3 take away 486309700406? -486309700405.7 What is 1 - -59340.744274? 59341.744274 Sum 0.08 and 6066.572608042. 6066.652608042 What is -436 take away -256470.099? 256034.099 -0.04609771+5893404 5893403.95390229 What is 7339096 less than -8.927018? -7339104.927018 Add 59907 and 93492639. 93552546 -1384.5 - -0.392143 -1384.107857 What is the distance between -38277 and -257411845? 257373568 Total of 1831 and 24101829. 24103660 Total of 25108 and 0.04861111. 25108.04861111 Calculate -1880.8758 + 414309. 412428.1242 1142713.4948187 - -3 1142716.4948187 What is the difference between 204.201 and -29765.957? 29970.158 What is 3 minus -1969281.476615? 1969284.476615 What is 59473939 - -152.5? 59474091.5 54992631+-352656 54639975 Calculate -655881473 - 1984. -655883457 What is 0.16 minus 0.036049665239? 0.123950334761 Subtract -23246352074 from 70. 23246352144 What is 6947 + -2766215414? -2766208467 1202 - 316193029 -316191827 Add together -3 and 340959357464. 340959357461 Calculate -1062233677 + 447.623. -1062233229.377 Subtract 2589.1887 from -1.471016. -2590.659716 Add 310286169.541 and 0.5. 310286170.041 Put together 34.4 and 2833958495. 2833958529.4 S
{ "pile_set_name": "DM Mathematics" }
*d/(d/(d*d**(-13))*d))*d))/((d**(1/4)*d)/d**3) assuming d is positive. d**(-201/20) Simplify ((q*q**(-1))**28*(q**1)**(-30/13))**(4/3) assuming q is positive. q**(-40/13) Simplify ((d/(d*d*d**(-7/4)))/(d**(-4/5)/d))/(d**(2/21))**49 assuming d is positive. d**(-127/60) Simplify (c*c/(c*c**(2/13))*c)**13*(c*c/(c*c*c**(-2/3)))**46 assuming c is positive. c**(164/3) Simplify (u/(u/((u*u/(u*u**(-1/10)))/u))*u**(-2)*u**10*(((u/(u/(u/u**(-6/7)*u*u)))/u*u)/u)/u)**(6/31) assuming u is positive. u**(2091/1085) Simplify (m**(2/15)*m/m**(-10))/((m*(m*m**(-4/11))/m*m)/((((m/(m/((m/(m**(-8)/m))/m))*m*m)/m)/m)/m*m)) assuming m is positive. m**(3052/165) Simplify ((i/(((i/i**(2/17)*i)/i*i)/i)*i*i)**(-1/41))**(-8) assuming i is positive. i**(288/697) Simplify (d**(11/2))**31/(d**8*d)**(-16) assuming d is positive. d**(629/2) Simplify (((x**(11/6)*x)/x)/x)/(x*(x**4*x)/x)*(x**(-1/6)*x)**4 assuming x is positive. x**(-5/6) Simplify (((y*y**(-2/5)*y)**(-2/81))**29)**(-33) assuming y is positive. y**(5104/135) Simplify g/g**(-9/5)*g/(g*g**(-3/20)*g)*g**(-2/3)/(((g/g**16)/g)/g) assuming g is positive. g**(1097/60) Simplify ((k**(1/2))**(16/3)*(k*k**(1/4)*k)**(2/31))**50 assuming k is positive. k**(13075/93) Simplify ((y**(-1)/y)/y*y**(-1)*((y**(-3)*y)/y)**(5/2))**(-2/27) assuming y is positive. y**(23/27) Simplify ((s/(s**(9/7)*s*s))/s*s/s**(-5/4))/(s/s**2*s**(5/4)*s) assuming s is positive. s**(-16/7) Simplify (u*u**(-1/15))/(u/(u/(u*u*u**14*u)))*u*u*u*u*u**(-1/14)*u*((u*u**10)/u)/u*u assuming u is positive. u**(-239/210) Simplify ((i**(-10))**(26/5))**23 assuming i is positive. i**(-1196) Simplify ((g**0)**(-1/50)*g/g**6*g*g**9)**(6/7) assuming g is positive. g**(30/7) Simplify (m*m**11)/m*m*m*m**(-2)*m*m**(-1)/m*m/(m/(m/(m/m**(-5))*m*m)*m) assuming m is positive. m**6 Simplify g/(g/((g*g**1)/g*g))*g**19*g*(g**(-4/5))**(2/45) assuming g is positive. g**(4942/225) Simplify (f**3)**(14/3)/(f*(f*(f/f**(-2/17))/f)/f*f*f*f**2) assuming f is positive. f**(151/17) Simplify (t**10*t*t*t**(-19)*t)/(t**(-2/7)/(t/(((t/t**2)/t)/t))) assuming t is positive. t**(-12/7) Simplify ((b**(1/8)/b)/(b/(b*b**9/b)*b))/(b**(-6)*b**(-5)) assuming b is positive. b**(137/8) Simplify l/(l*(l/l**11)/l*l)*l/(l/(l/(l*(l/((l/((l/(l**(-1/13)*l))/l))/l)*l)/l))*l*l)*(l*l/(l*l/l**(-1)))**(-19/4) assuming l is positive. l**(659/52) Simplify ((b*b*b**(-2)*b*b)**(-5/7)*b**(-2/17)/(b*b**(2/13)))**(6/19) assuming b is positive. b**(-25062/29393) Simplify (v*v*v**(-1)*v*v)**(-1/18)/((v**(-10/7)*v)/v**(-3)) assuming v is positive. v**(-115/42) Simplify (d**(-5/6))**29*d**(6/5)/d**(2/3) assuming d is positive. d**(-709/30) Simplify (n**(2/5))**(-19/5)*(n/n**19)/n**(-24) assuming n is positive. n**(112/25) Simplify ((l/l**23)/l**(-7/5))/(l**(-21)*l*l/l**(-12)) assuming l is positive. l**(-68/5) Simplify k**(11/2)/(((k/(k*k/(k**(-1/7)*k*k*k)))/k)/k)*(k**(-1/5)/k*k)**(-2/79) assuming k is positive. k**(31233/5530) Simplify (u*u**(-2/5)*u*u)**(-46)/((u*u**(-3/7))/u*u/(u**(-2/25)*u)*u*u) assuming u is positive. u**(-21219/175) Simplify f**36*f*f**10*(f/(f/(f*f/f**(-1/13))*f))/((f**23*f)/f) assuming f is positive. f**(326/13) Simplify (m**(-15)*((m/(m**(-10)*m))/m)/m)/(m**(-1/5)*m)**(-16) assuming m is positive. m**(29/5) Simplify (t/(((t**(-26)/t)/t)/t)*t*t**(-5)*t)**(28/5) assuming t is positive. t**(756/5) Simplify (((y*y**1*y)**(-47))**(-33))**(39/5) assuming y is positive. y**(181467/5) Simplify (u*u*(u*u**16)/u*u*u)**43/(u**(-10/13))**(-1/71) assuming u is positive. u**(793770/923) Simplify ((k/k**(-14))/k**(-14))/(k*k/((k*k/(k/(k/k**(1/16))*k*k*k))/k)*k/(k/k**12)) assuming k is positive. k**(207/16) Simplify ((f*f*f**2)/f*f)**50*f**17*f**(4/7) assuming f is positive. f**(1523/7) Simplify ((h*h**(-2/9)/h)/(h**(-13)*h*h))/(h*h*h*h*h**(-4)*h)**(-41) assuming h is positive. h**(466/9) Simplify ((a/(a*a**(-1/4)*a))**(-12/11)*a**(-1/2)/a*(a*a**6/a)/a*a)**25 assuming a is positive. a**(2925/22) Simplify ((s**(-6)*s)/s*s**(3/7)/s*(s/(s*s**6))/s*s/((((s/(s*s/(s/s**(-1/14))))/s)/s*s)/s))**(27/2) assuming s is positive. s**(-4023/28) Simplify (a**15*a**(-1/8))**(-10) assuming a is positive. a**(-595/4) Simplify t/t**21*t*t*t**(-2/11)*t*t**(-17)/t*t*t**8 assuming t is positive. t**(-288/11) Simplify (((p**(-13))**(-2/35))**(-2/19))**(-18) assuming p is positive. p**(936/665) Simplify ((a*a**(-7))/a*a*a**30/a*a)/(a**(2/13))**(-43) assuming a is positive. a**(398/13) Simplify ((g**(3/5)*g**1*g)/(g**(3/10)*g**(-4/9)))**(-2) assuming g is positive. g**(-247/45) Simplify (j**(-12)*j/(j/(j/j**1)))/(j**3)**(-45) assuming j is positive. j**123 Simplify q**(-13/4)/((q**7/q*q)/q)*((q**(-19)/q)/q)/q*((q/(q*q*q**14))/q)/q assuming q is positive. q**(-193/4) Simplify (((g/(g*g**(-3/8)*g))/(g*g**(2/25)/g))**(1/31))**(-8) assuming g is positive. g**(141/775) Simplify (y*y**7)**(-37)/(y*y/(y*y*y**(2/5)*y))**14 assuming y is positive. y**(-1382/5) Simplify ((x*x*x**(-30)*x)/x*x*x*x/(x/(x**(1/10)*x)))**(-35) assuming x is positive. x**(1743/2) Simplify (i*((i/(i*i**20*i*i))/i)/i*i/(i**13/i))/(i**(4/21))**(-48) assuming i is positive. i**(-174/7) Simplify (q/(q*q*q/(q*(q/((q/q**(-4))/q))/q)))**(1/56)/(q/(q**(-4)*q)*q*q/(q/(q/(q**(-2/5)/q))*q)*q) assuming q is positive. q**(-2097/280) Simplify ((g**(-1)*g**(-2/3))/(g**(-3/4)/g)**(-15))**(-27) assuming g is positive. g**(3015/4) Simplify o**(-19)/o*o**(-21)/o*o**(-13/5)*(o*(((o**(-17)*o*o)/o)/o)/o)/o assuming o is positive. o**(-313/5) Simplify a**6*a**(-1/9)*a*(a*(a*(a**(-5)/a)/a)/a)**(-3/8) assuming a is positive. a**(329/36) Simplify ((m/m**(6/17))/(m**(-15)*m))/(m**(2/37)*m/(m**(1/29)/m)*m) assuming m is positive. m**(212097/18241) Simplify ((n**11/(n*n*n**(-6)))/(n**0)**(-5))**49 assuming n is positive. n**735 Simplify (c**5)**(1/3)*c**(-2/5)*c*c**(-13) assuming c is positive. c**(-161/15) Simplify ((v**(-3/4)/(v*(v/(v*v*v**(3/5)))/v))/(v**(-2/7)*v**(-3/8)*v*v))**36 assuming v is positive. v**(-1233/70) Simplify (v*v/(v**(-14)*v)*v**11*v)**(3/14) assuming v is positive. v**(81/14) Simplify a**10*a**(-3/2)*(a/(a*a**10*a*a))/(((a/(a**10*a))/a)/a) assuming a is positive. a**(17/2) Simplify f*f*f*f**(-1/3)*f/(f/(f*(((f*f*f/(f/f**9)*f*f)/f*f*f)/f)/f*f*f))*(f*(f*f**(-6/23))/f*f)/(f/(f**9*f)) assuming f is positive. f**(1960/69) Simplify (a**(-7/3)/(a**(2/21)*a))/(a**4)**(-2/83) assuming a is positive. a**(-1936/581) Simplify (c**(-3/5))**(1/42)/((c*c/c**(-11))/(c*c*(c**(-22)*c)/c*c)) assuming c is positive. c**(-2241/70) Simplify (z*z/((z*z**(2/11)*z)/z*z)*z*z*z*z)**(-6/7)*(z*z*z**(-1/2)/z*z)**(6/13) assuming z is positive. z**(-369/143) Simplify (j**(3/4)*j**(-1/4)/j*(j**(1/11)/j)/j**3)**(4/9) assuming j is positive. j**(-194/99) Simplify ((u*u/(u*(u**17*u)/u))/u**(-2/3))/((u/u**(-4/7))/u**(-1/5)) assuming u is positive. u**(-1796/105) Simplify (((l/(l/(l*(l/l**(-21))/l)))/(l*l*l*l**(-11)))**6)**(2/21) assuming l is positive. l**(120/7) Simplify l**(1/4)/l**(25/4)*l**(-1/3)*l*l**(-2/29) assuming l is positive. l**(-470/87) Simplify o**(-2/17)*o/(((o*o/(o*o**4/o))/o)/o)*o*(o*o**(1/24))/(o*(o/(o**(-2/55)*o))/o*o) assuming o is positive. o**(132119/22440) Simplify w*w**(-6/17)*w**(-2/5)*w*(w**6/w)/(((w/(w*w/(w*w*w**(-35))))/w)/w) assuming w is positive. w**(3591/85) Simplify ((b**3*b/(b**(-1/7)*b))**(2/33))**14 assuming b is positive. b**(8/3) Simplify d**(-5)/d*d*d**0*d**(2/25)*d*d**(-5) assuming d is positive. d**(-223/25) Simplify d**(2/31)/d*d**(-5/8)*d*(d**(-3))**(-2/59) assuming d is positive. d**(-6713/14632) Simplify (s**(2/11)*s)**(-1/25)/(s*s**(-25)/s*s*(((s*s**(-8)*s)/s)/s)/s) assuming s is positive. s**(9062/275) Simplify (n**13*n)/(n/n**(-5))*n*n**9/n*n**2 assuming n is positive. n**19 Simplify (q**(3/10)*q/q**6*((q/q**(-1))/q*q)**(-13/6))**(4/5) assuming q is positive. q**(-542/75) Simplify (g**(-30)/g*(g/(g**(2/3)/g))/g)/(g**(4/15)/g**(-24)) assuming g is positive. g**(-824/15) Simplify f**(-36)/f*f/f**(-3/16)*(f**(4/9)/f)/(f**(-26/3)/f) assuming f is positive. f**(-3845/144) Simplify ((b**(-1/7)/b)/(b*b/((b/b**(-18))/b)*b))**46 assuming b is positive. b**(4462/7) Simplify (((o/(o*o*o**(-2)))/o)/(o**(3/5)/o)*o**(-3)*o*o/(o/o**4))**(-29) assuming o is positive. o**(-348/5) Simplify (((((x*(x/x**(1/2))/x)/x)/x)**17)**(5/3))**42 assuming x is positive. x**(-1785) Simplify ((
{ "pile_set_name": "DM Mathematics" }
.2321. Let r = 3 - -1. What is the biggest value in r, 2/11, p? p Let q(m) = -14*m - 10. Let s be q(-1). Let p = 3.2 - 0.2. What is the smallest value in p, s, -0.3? -0.3 Let f be 6/(-4)*(-22)/(-33). Let v be 13/(-52) - (-1 - f). What is the second smallest value in 12, v, -3/2? v Suppose 2*m = 32 + 48. Suppose 6*y + m = 2*y. Let h be (-30)/75 + 16/y. What is the third biggest value in 0.5, h, -0.4? h Let z = -1476.1 - -1476. Which is the third smallest value? (a) 1 (b) 12 (c) z b Let s = -317/1562 - -3/142. Let x = 8.421 - 8.821. Which is the smallest value? (a) x (b) s (c) 1/9 a Let n = 22 + -2. Let o = 198 - 200. Which is the second smallest value? (a) o (b) 2 (c) n b Let g = -244 - -248. Let w be 2/(-3) + 2 + -1. Which is the biggest value? (a) g (b) w (c) -5 a Let h = 4 + -11. Suppose -7*f + 31 = 3. Let o = 28 + -83/3. What is the third smallest value in h, f, o? f Let r = -254.7 + 255. What is the fourth biggest value in 68, -0.3, r, -2/19? -0.3 Let y be (-152)/228*(-3)/(-243). Which is the second biggest value? (a) 0.1 (b) 0 (c) -0.2 (d) y b Let n be -4*2 + 2 - (-70 - -69). What is the biggest value in -1/4, n, -0.5, -2? -1/4 Suppose -3*c - 3 = 0, 4*m - 4*c + 5 - 17 = 0. Suppose -u + m*j = -3*j + 16, -3*u - 6 = -j. What is the third smallest value in u, -2, -4? u Let u(t) = t**3 + 39*t**2 - 80*t + 59. Let n be u(-41). Which is the smallest value? (a) n (b) 5 (c) 0.4 a Let l = -15 + 14.91. Let u = -4.12 + 0.12. Let q = -2 - u. Which is the second smallest value? (a) q (b) l (c) -4 b Let g = -22 - -21.5. Let q = 28 + -24. What is the second smallest value in q, 0.4, g? 0.4 Let p = -0.535 - -3.527. Let w = -0.008 - p. Which is the second biggest value? (a) -2 (b) 3/8 (c) 3/2 (d) w b Let y = 13 - 22. Let k = -9 - y. Let b = 1.1 - 2.1. What is the second smallest value in b, 5, k? k Let m = 32.42 + -38.4. Let r = 0.02 - m. Let p = -1 + r. What is the third biggest value in -3, p, -2? -3 Let x = 20 - 21.01. Let y = -0.01 - x. Let t = y + -1.3. What is the smallest value in 0.05, t, 3? t Let q = 4.6 + -5. Let g = -0.7 - q. Let d = 1812 - 1815. What is the third smallest value in -1/4, g, d? -1/4 Let i = 138 - 418/3. Which is the third smallest value? (a) 2/9 (b) i (c) 1 c Let i = 1637.06 - 1637. Let h = 208/11 + -19. What is the smallest value in h, 0.5, i? h Suppose 5*v + 1 = 4*b, 0*b - 2*b + 11 = v. Let t = 947/14756 - 9/124. Let f = -52/119 - t. What is the third biggest value in b, 3, f? f Let t(u) = u - 10. Let p be t(15). What is the second smallest value in -0.4, -31, p? -0.4 Let f be 474 + (-20)/(-5)*-1. Let z be f/150 - (-6)/(-2). Which is the third biggest value? (a) -1/5 (b) 3 (c) z a Let r(a) = 2*a**2 + 51*a + 76. Let i be r(-24). Suppose x = -3*x - 4. What is the third biggest value in 5, x, -0.3, i? -0.3 Let g = 85 - 50. Let l = 60 - g. Let w = l + -27. What is the third biggest value in -5, 0.3, w? -5 Suppose -z = 1 - 7. Let g be (-16307)/(-16665) + z/(-33). Let s = -1/303 - g. Which is the second biggest value? (a) s (b) -0.4 (c) -0.2 b Let v = 15 - 5. Let k = v - 11. Let y be ((-4)/8)/(k/2). Which is the second smallest value? (a) -5 (b) -2/5 (c) y b Let d = -6 - -11. Suppose 330*s = 350*s - 40. Which is the biggest value? (a) s (b) d (c) 7 c Let d be 6/17*1/(-3). Let f = -0.04424 - 3.95576. Which is the third biggest value? (a) d (b) -2 (c) f c Let z = 7.46 - 7.36. Which is the smallest value? (a) 44.8 (b) -1/5 (c) z b Let f = -298 + 293. Which is the third biggest value? (a) -0.3 (b) f (c) 2 (d) 4 a Let f = 204 + -218. Let y = -149/219 + 1/73. Which is the biggest value? (a) y (b) f (c) 2/11 c Let r = -50/77 - -4/11. Let p = -0.301 - -2.301. Which is the biggest value? (a) p (b) 0.4 (c) 1 (d) r a Let j = -134 - -138. Let f = -4.02 + j. What is the smallest value in -3/2, f, 0.2, -1/2? -3/2 Suppose 9 = 3*t - 0. Suppose -3*u - u = -2*n + 2, -5*u - t*n = -14. What is the smallest value in u, -11, -2/15? -11 Let a = 3.94594 + 0.05406. Let y be (1/26)/((-2)/8). What is the smallest value in y, 3/5, a? y Let q = 5.06 + -5.7. Let o = q + 1.14. Suppose -4*z + 2*y - 5 = 7, 4*z + 4*y = 0. Which is the third biggest value? (a) o (b) 2/5 (c) z c Suppose 0*v + 5*v + 4*y = 28, -v - 5*y = -14. Let h be -3*(2/v)/(3 - 1). What is the third smallest value in h, 0.2, -0.4, 1? 0.2 Let g(t) = -t - 7. Let q be g(-3). Let o = 55393/44 + -1259. Let w = 29/220 - o. Which is the biggest value? (a) 4 (b) w (c) q a Let z = 1.94 - -0.06. Suppose -1 = 3*n + 3*w - 7, -3*n = -3*w + 18. Let o be (-1 + 5 + n)/((-6)/12). Which is the smallest value? (a) o (b) z (c) 2/7 a Let v = 3191/3 - 1063. Which is the third smallest value? (a) 1 (b) 7 (c) 4 (d) v c Let q = 421 - 433. Which is the second smallest value? (a) 3/5 (b) q (c) 1/9 c Let z = -174 - -173. Let k = -3.2 + 0.2. Which is the third smallest value? (a) z (b) -1/5 (c) k (d) 0.4 b Let r = 2355 + -2357. Let m = -4/19 - -1/95. Which is the second smallest value? (a) r (b) m (c) 4/3 b Let p = 0.2 - 0.6. Let f = 0.2 + p. Let s = -1994 + 1991. What is the second biggest value in 4, f, s? f Let r = -255 + 254.6. Which is the fourth biggest value? (a) -3/4 (b) r (c) 0.5 (d) -15 d Let a(d) = 2*d**2 - 2*d**2 + 10 - 2*d**2 + 9*d. Let k be a(5). What is the second smallest value in -1, k, 4/5, -4? -1 Let o = -3.7 - 0.6. Let v = -4.2 - o. Let t = -1136/7 + 162. Which is the second biggest value? (a) v (b) t (c) -2 b Let v = 18.3 + -18. Which is the second biggest value? (a) -1 (b) 1/303 (c) v b Let j = -0.3 - -0.1. Let g = 14 - 10. Suppose 0*s = -g*s. Which is the smallest value? (a) s (b) j (c) 3 b Let h(n) = -8*n - 81. Let u be h(-10). Let k = 361/10 + -36. Which is the smallest value? (a) -5 (b) u (c) k a Let b = -4 + 8. Let l = -3.6 + b. What is the smallest value in -0.06, 2/17, l? -0.06 Let r = 161.8 - 164. Let f = -0.8 + r. Which is the biggest value? (a) 10 (b) f (c) 2/15 a Let q(x) = 5*x**2 - x - 1. Let h be q(-1). Let d = 1.5 + -2. Let t = d - -0.8. Which is the second biggest value? (a) t (b) -5 (c) h a Let x = -50 + 49.74. Let m = x + -0.14. Which is the third biggest value? (a) m (b) 0.4 (c) 1/3 a Let v(g) = -3*g + 15. Let n be v(6). Let k be 2/24 + n/9. Let p be (1/3)/((-4)/(-4)). What is the second smallest value in 12, p, k? p Let h = 3.4 - -26.6. Let p = 31 - h. Let s = 2/439 - 888/2195. What is the second biggest value in 1/6, p, s? 1/6 Let s = 9.54 + -9.3. What is the smallest value in s, 0.1, 5, -0.2? -0.2 Let m = 112.2 + -111.7. Let g = -5 + 0. What is the fourth biggest value in m, -1, g, 3? g Let n = 540 + -539.747. Let s = -0.047 - n. Which is the smallest value? (a) 1/2 (b) -1 (c) s (d) -6 d Let x(l) = l**2 - 4. Let u be x(0). Let f be u/(-3)*(-15)/120. Which is the smallest value? (a) f (b) -3 (c) 6 b Let f = 81 - 81.024. What is the biggest value in 2, 0.5, f? 2 Let z = -19 - -20.3. Let l = 52.5 + -54. Let g = z + l. What is the smallest value in g, -1, -1/7? -1 Let j = 290.5 + -291. What is the second smallest value in 12/11, j, 1? 1 Suppose -57 = 168*g - 149*g. Which is the third biggest value? (a) g (b) -1/4 (c) -0.2 (d) -19 a Suppose 4*l + 4*y = -12, 0*y - 6 = 2*y. Let s be (12/(-28))/((-9)/6). Suppose -2 = 4*p + 18. Which is the third biggest value? (a) l (b) p (c) s b Let j be (15/(-2) - 0)*32/144 + 1. Let o = 4 - 5. Which is the smallest value? (a) o (b) 2 (c) j (d) -5/3 d Suppose 4790 = -6*v + 4772. Let d = -21.1 - -22. Which is the biggest value? (a) d (b) v (c) 2/19 a Let z(n) = -n**2 - 8*n - 5. Let v be z(-7). Suppose v = -6*r + 7*r. Suppose -w + 3 = 0, 3*f + f + 7 = w. What is the biggest value in f, 4, r? 4 Let m be (-100)/(-28) + -4 + 1. Let r = 1/112 + 219/560. Which is the second smallest value? (a) r (b) 0.1 (c) 0 (d) m b Let n = -192 - -581/3. Suppose 2*v + y + 8 = 0, -4*y - 26 = 2*v + 3*v. Let p = v + 2. What is the third smallest value in -0.5, p, n? n Let g = 730/3 - 244. Which is the second biggest value? (a) 2/19 (b) 2/7 (c) 0 (d) g a Let x = 566 + -570. What is the third biggest value in -12, -1/2, x? -12 Let a be ((-2)/(-11))/((-672)/1848). What is the biggest value in a, 4, 20? 20 Let t(u) = -3*u - 1. Let h be t(-1). Let x = 1
{ "pile_set_name": "DM Mathematics" }
) Let a = 11 + -8. Let s(q) be the first derivative of 1/12*q**a + 9/4*q - 1 + 3/4*q**2. Suppose s(w) = 0. What is w? -3 Let r(u) = -u**3 - 3*u**2 - 2*u - 1. Let m be r(-3). Solve -1 + 2*a**2 + a**m + 1 - a**4 - a**2 - a**3 = 0 for a. -1, 0, 1 Factor -8/7 - 2/7*x**3 + 6/7*x**2 + 0*x. -2*(x - 2)**2*(x + 1)/7 Let v = -41/14 + 7/2. What is i in 0 - 4/7*i**2 + v*i = 0? 0, 1 Let q = -266 + 1334/5. Factor 2/5*c**2 - 2/5*c - q. 2*(c - 2)*(c + 1)/5 Let p(t) be the first derivative of t**7/42 - t**5/10 + t**3/6 + 5*t + 5. Let m(x) be the first derivative of p(x). Suppose m(w) = 0. Calculate w. -1, 0, 1 Let z(w) be the second derivative of w**7/126 - 11*w**6/90 + 43*w**5/60 - 73*w**4/36 + 28*w**3/9 - 8*w**2/3 + 58*w. Find g such that z(g) = 0. 1, 4 Let l = 22 - 16. Suppose -2*r - j = 3, 2*r - 2*j - 18 = -l. Solve 3*y**2 + r + 1 - 6 - y**3 = 0 for y. -1, 2 Suppose -c - 1 + 4 = 0. Let 4*y**2 - 3*y**3 + 0*y**c - 3*y**2 = 0. Calculate y. 0, 1/3 Factor 1/3*x**2 - 7/3*x + 2. (x - 6)*(x - 1)/3 Let o be (-34)/4 + (-2 - 0). Let j = -9 - o. Solve 0 - 3*z**2 + 3/2*z + j*z**3 = 0 for z. 0, 1 Let f(m) = -2*m**3 + 2*m**2 + 3. Let s be (3/1 - -4)/(-1). Let z(n) = -7 - n**3 + 2*n**2 + 6*n**3 - 6*n**2. Let u(r) = s*f(r) - 3*z(r). Factor u(b). -b**2*(b + 2) Let t(r) be the third derivative of -r**9/5040 - 3*r**8/2240 - r**7/280 - r**6/240 + r**4/8 - r**2. Let z(p) be the second derivative of t(p). Factor z(y). -3*y*(y + 1)**3 Let s(b) be the third derivative of -b**7/1470 + b**6/420 + b**5/420 - b**4/84 + 12*b**2. Factor s(v). -v*(v - 2)*(v - 1)*(v + 1)/7 Let o be 2 - (-3)/(0 + 1). Factor 2*x**2 + 4 - 2*x**2 - 3*x**3 - o*x**2 + 4*x. -(x - 1)*(x + 2)*(3*x + 2) Let i = -371 - -373. Factor 0*n**i - 1/4*n**4 + 1/2*n - 1/2*n**3 + 1/4. -(n - 1)*(n + 1)**3/4 Let h(c) be the third derivative of -c**6/600 + c**5/150 - 3*c**2 - 10. Let h(w) = 0. Calculate w. 0, 2 Suppose 5*s = 4*i - 72, -81 = -5*i - 0*s + 4*s. Suppose 5*v + 3 = i. Solve v*l**2 + 4/5*l + 0 = 0. -2/5, 0 Suppose 4 = -2*y + 10. Find k, given that 0 - 2*k**4 + k - k**3 + 4*k**2 - k**2 - y + 2 = 0. -1, 1/2, 1 Let c(j) = j**3 + 4*j**2 + 2*j - 1. Let w be c(-2). Let m(k) be the first derivative of 2/27*k**w + 0*k - 2 + 0*k**2. Factor m(q). 2*q**2/9 Suppose -8*u + 55 - 39 = 0. Factor -16/9*w**3 - 2/9*w**4 - 4*w**u + 6 + 0*w. -2*(w - 1)*(w + 3)**3/9 Let m(f) be the third derivative of f**5/150 - f**4/15 - f**3/3 + 4*f**2. Factor m(d). 2*(d - 5)*(d + 1)/5 Let c(q) be the first derivative of q**4/36 - q**3/9 + q**2/6 - q + 1. Let l(j) be the first derivative of c(j). Factor l(g). (g - 1)**2/3 Let v(j) be the first derivative of 0*j - 3 + 1/6*j**2 - 1/9*j**3. Factor v(c). -c*(c - 1)/3 Let i(w) be the second derivative of 3*w**5/20 - 5*w**4/4 + 2*w**3 + w - 2. Determine b, given that i(b) = 0. 0, 1, 4 Let m(k) be the third derivative of k**7/420 - k**6/90 - k**5/60 + k**4/6 + k**3/2 + 3*k**2. Let s(z) be the first derivative of m(z). Factor s(i). 2*(i - 2)*(i - 1)*(i + 1) Suppose -9 = 3*w - 15. Suppose -2/3*p**w + 4/3*p + 0 = 0. What is p? 0, 2 Find j, given that -2/5*j**2 + 6/5 - 4/5*j = 0. -3, 1 Let u(m) be the third derivative of m**5/80 - m**4/12 + m**3/6 - 7*m**2. Determine p so that u(p) = 0. 2/3, 2 Let h = 5 + 3. Suppose k - 2*k - 5*g - 8 = 0, 5*k - h = -g. Determine c so that -2*c**4 - c + 5*c**3 + 3 + 3*c**2 - k + 4*c**4 - 2 = 0. -1, 1/2 Let p(k) be the third derivative of k**7/3780 - k**5/180 - k**4/6 - 3*k**2. Let d(r) be the second derivative of p(r). Factor d(m). 2*(m - 1)*(m + 1)/3 Let h(c) = 3*c**2 - 3. Let a(b) = b**3 + 1. Let k(n) = -3*a(n) - h(n). Suppose k(y) = 0. What is y? -1, 0 Let p(t) be the second derivative of 1/24*t**4 + 0*t**3 + t - 1/4*t**2 + 0. Factor p(r). (r - 1)*(r + 1)/2 Solve -32/5*a**3 + 32/5*a + 4/5*a**4 - 64/5 + 12*a**2 = 0. -1, 1, 4 Let o be (2/4)/(4/48). Suppose 0*c + o = -3*b + 3*c, 4*c - 8 = 3*b. Suppose 2/9*t**3 + 0 + b*t - 2/9*t**2 = 0. Calculate t. 0, 1 Suppose -37*g - 83 + 231 = 0. Find x such that 0 - 2/9*x**3 + 2/9*x**2 + 0*x - 2/9*x**g + 2/9*x**5 = 0. -1, 0, 1 Let o(g) be the third derivative of 0*g + 0*g**3 - 1/1470*g**7 - 1/210*g**5 + 0*g**4 - 1/280*g**6 + 0 - 5*g**2. Factor o(u). -u**2*(u + 1)*(u + 2)/7 Let d(v) be the first derivative of v**6/1800 + v**5/300 + v**4/120 - 2*v**3/3 + 5. Let i(k) be the third derivative of d(k). Factor i(x). (x + 1)**2/5 Factor -10/11*y**2 - 12/11 + 26/11*y. -2*(y - 2)*(5*y - 3)/11 Let q be 26/(-7) + 44 + -40. Factor 0*c + 0 - q*c**3 + 2/7*c**2. -2*c**2*(c - 1)/7 Factor -4/9*q**2 - 2/9*q - 2/9*q**3 + 0. -2*q*(q + 1)**2/9 Let v(i) be the second derivative of -i**8/40320 - i**7/5040 - i**6/1440 - i**5/720 - 5*i**4/12 - 3*i. Let k(x) be the third derivative of v(x). Factor k(d). -(d + 1)**3/6 Let i = -7631/504 - -106/7. Let w(f) be the third derivative of 0*f - 1/36*f**4 + 0*f**3 + 1/45*f**5 + 0*f**6 + i*f**8 + 0 - 2/315*f**7 + 2*f**2. Factor w(v). 2*v*(v - 1)**3*(v + 1)/3 Let s(i) be the second derivative of -i**8/336 - i**7/70 - i**6/40 - i**5/60 - 3*i**2/2 + 2*i. Let c(k) be the first derivative of s(k). Factor c(o). -o**2*(o + 1)**3 Let s(x) be the first derivative of 28*x**5/5 - 30*x**4 + 172*x**3/3 - 48*x**2 + 16*x + 7. Solve s(d) = 0. 2/7, 1, 2 Suppose -5*c = -8*c. Factor 0*u**4 - 1/2*u + u**3 + 0 - 1/2*u**5 + c*u**2. -u*(u - 1)**2*(u + 1)**2/2 Suppose -t - 1 = -4. Let m(x) = -x**3 - 4*x - 2*x**3 + 8*x**2 - x**t - 2. Let w(n) = -n**3 + n**2 - 1. Let f(p) = m(p) - 2*w(p). Suppose f(u) = 0. Calculate u. 0, 1, 2 Let f(l) be the second derivative of 3*l**5/50 + 11*l**4/60 + l**3/5 + l**2/10 - 5*l. Factor f(d). (d + 1)*(2*d + 1)*(3*d + 1)/5 Let d be 3 + (-22)/8 - 5/(-60). Solve -d + 2/3*r**3 - 1/3*r**5 + 2/3*r**2 - 1/3*r - 1/3*r**4 = 0 for r. -1, 1 Let p(l) = -9*l**2 + 5*l. Let y(r) = 4*r**2 - 2*r. Let h(n) = -3*p(n) - 7*y(n). Let j(w) = w**3 - 3*w**2 - 4*w. Let o(x) = 4*h(x) - j(x). Factor o(b). -b**2*(b + 1) Factor 4/5*c**3 + 0*c + 2/5*c**2 + 0 + 2/5*c**4. 2*c**2*(c + 1)**2/5 Let i = 12 + -10. Factor 5*t**2 + 7*t**2 + 3*t - 9*t**i. 3*t*(t + 1) Let r(z) = z - 7. Let c be r(12). Let o(f) be the first derivative of 0*f + 0*f**3 - 1/27*f**6 + 0*f**c - 1/9*f**2 + 1/9*f**4 - 3. Find v, given that o(v) = 0. -1, 0, 1 Let b be (-7 - -3)/(-12) - (-1)/(-39). Factor -2/13*o**2 - 2/13 + b*o. -2*(o - 1)**2/13 Let i(x) = -3*x**4 - 2*x**3 - 6*x**2 - 3*x - 1. Let g(v) = -2*v**4 - v**3 - 3*v**2 - 2*v - 1. Let y(o) = -10*g(o) + 6*i(o). Solve y(d) = 0 for d. -1, 1, 2 Let a be (-1*2)/(-6) + (-18 - -18). Suppose -a*q**4 + 1/3*q**3 + 1/3*q**2 - 1/3*q + 0 = 0. Calculate q. -1, 0, 1 Let j(u) = -u**3 + 4*u**2 - 3*u. Let o be j(2). Let g be (o/4)/(-1 + 2). Factor -1/2*i**2 - i**3 + g*i**4 + 0 + i. i*(i - 2)*(i - 1)*(i + 1)/2 Let p(m) = -m + 11. Let u = -5 + 16. Let b be p(u). Determine q so that -1/4*q + 1/2*q**2 + b - 1/4*q**3 = 0. 0, 1 Let u = 451 + -1803/4. Find z, given that 0 - 3/4*z**4 - 1/2*z**5 + u*z**3 + 3/4*z**2 + 1/4*z = 0. -1, -1/2, 0, 1 Suppose 0*c - 5*c = -20. Factor -8/7*f**2 + 6/7*f**5 + 0 + 0*f + 22/7*f**c + 16/7*f**3. 2*f**2*(f + 2)**2*(3*f - 1)/7 Let q(l) be the second derivative of l**6/120 + l**5/40 + l**3/3 + 7*l. Let d(f) be the second derivative of q(f). Let d(s) = 0. What is s? -1, 0 Let l = 40 - 38. Let w(i) be the first derivative of 1/5*i**l + 0*i - 2/15*i**3 + 1. Solve w(r) = 0. 0, 1 Solve c**5 + 6*c**5 - 4*c**5 - 3*c**3 = 0 for c. -1, 0, 1 Let f(x) be the first derivative of -15*x**4/28 - 13*x**3/7 - 6*x**2/7 + 12*x/7 + 16. Factor f(v). -3*(v + 1)*(v + 2)*(5*v - 2)/7 Let h(w) = -4*w**3 + 4*w + 6. Let j(m) be the second derivative of -7*m**5/20 - m**4/12 + 4*m**3/3 + 11*m**2/2 + 7*m. Let b(a) = 11*h(a) - 6*j(a). Factor b(t). -2*t*(t - 2)*(t - 1) Let l(j) = j + 12. Let y be l(-10). Let s be 0/(-3) - y*-1. Suppose 0*b**3 - 3*b**4 + b**4 + 2*b**2 - 2*b**3 + s*b + 0*b = 0. Calculate b. -1, 0, 1 Let f be (4*6/(-4))/2. Let l be 1*f/2*-2. Factor -2/7*n**l + 2/7*n**2 + 0 + 0*n. -2*n**2*(n - 1)/7 Let f = -7 + 12. Suppose 20 = -0*v + f*v. Let 0*c**2 + 0 + 1/4*c + 1/4*c**5 + 0*c**v - 1/2*c**3 = 0. What is c? -1, 0, 1 Let g(i) = -i**2 - 6*i - 3. Let w = -5 + 0. Let t be g(w). Find a such that 32/3*a**3 - 22/3*a**t + 4/3*a - 14/3*a**4 + 0 = 0. 0, 2/7, 1 Let j be -1*(2/9 + 850/(-1071)). Let s(z) be the first derivative of 2/7*z**4 - 2/7*z - 3 + 16/35*
{ "pile_set_name": "DM Mathematics" }
o. 2, 3 Let h = 3502 + -2106. List the prime factors of h. 2, 349 Let l = 10013 - 6813. List the prime factors of l. 2, 5 Let j = -5556 - -9682. List the prime factors of j. 2, 2063 Suppose 0 = 23*p - 33154 + 5462. List the prime factors of p. 2, 7, 43 Suppose -373 = 2*r - 2*t - 3495, 4*r - 2*t - 6242 = 0. List the prime factors of r. 2, 3, 5, 13 List the prime factors of (-293 + 1 + 5)/(-1). 7, 41 Let w(y) be the third derivative of -y**4/6 + 13*y**3/6 - 10*y**2. What are the prime factors of w(-6)? 37 Suppose 4*s = -3*p + 1225, -2*s = -p - 421 - 204. What are the prime factors of s? 2, 5, 31 Let v(s) = 7*s - 5. Let z be v(11). List the prime factors of (-13)/(-2)*z/3. 2, 3, 13 Suppose q + 526 = c, 536 = c - 12*q + 16*q. List the prime factors of c. 2, 3, 11 Let i = 43 + -39. What are the prime factors of (-1)/i + (-578)/(-8)? 2, 3 Let x = 3507 - -175. What are the prime factors of x? 2, 7, 263 Let z(a) = 10*a + 163. What are the prime factors of z(20)? 3, 11 Let u(k) = -k - 16. Let y be u(-13). Let m be (-2)/y*645/10. Suppose 0 = 4*z + j - 177, 2*z - 33 - m = 2*j. What are the prime factors of z? 43 Let c = 523 + 274. What are the prime factors of c? 797 List the prime factors of -2355*(-2 + 48/60). 2, 3, 157 Suppose -4*k + 7 = -9. Let p(n) = n**3 - 5*n**2 + 11*n - 6. Let s be p(2). Suppose k*j = 5*j - s. List the prime factors of j. 2 Let s = 88 - 84. Let n = 191 + s. List the prime factors of n. 3, 5, 13 Let c = 9 + -6. Suppose c*m - 8 = m. Suppose 3*x - 3*k = 153, x = m*x - 4*k - 149. List the prime factors of x. 5, 11 Suppose -267 = -14*z + 279. List the prime factors of z. 3, 13 Let n be 21/(-35) - (-23)/5. Suppose -3*t + n = -2*t. List the prime factors of 13 - t/8*-8. 17 Suppose 0 = 6*j - 194 - 130. What are the prime factors of j? 2, 3 Suppose -4*b + 3324 = -124. What are the prime factors of b? 2, 431 Let q be 1 + 6 - (-1 - -3). Suppose -2*j - 274 = -q*a, 2*a - 5*j - 280 = -3*a. List the prime factors of a. 2, 3 Suppose -n - 147 + 756 = -5*m, 3*m = -4*n + 2528. List the prime factors of n. 17, 37 Let v(h) = 4*h - 4 - 8 + 12. Let y be v(6). Let p = y - 0. What are the prime factors of p? 2, 3 Let r(i) = -5*i + 1. Let a(m) = -10*m + 2. Let g(u) = 3*a(u) - 5*r(u). Let n be g(-3). Let p = n + -2. What are the prime factors of p? 2, 7 Let o = 3 + -4. List the prime factors of 316/4 - (-2)/(2 + o). 3 Let m be 1 + 249 + -1 + 1. Let v = m + -150. What are the prime factors of v? 2, 5 Let w be 22/6 + (-8)/(-24). Let b = -4 + w. Suppose -5*i - d + 302 = b, -7*i + 4*d + 292 = -2*i. List the prime factors of i. 2, 3, 5 Let u = 1615 + -940. What are the prime factors of u? 3, 5 Suppose -d - 2*p + 6 = -p, 16 = -2*d + 5*p. Let g(s) = -s**2 + 6*s - 3. Let v be g(d). Suppose y = 5 + v. What are the prime factors of y? 2, 5 Let g = 9 - 2. Suppose 11*a + 4 = g*a. List the prime factors of (-3)/(a/(-10)*-2). 3, 5 Let q(u) = 2*u**2 + 12*u - 49. Let p be q(6). Suppose -310 = -3*m + p. List the prime factors of m. 3, 5 Let p(z) = 9*z - 28. Let y(d) = -3. Let a(m) = 3*p(m) - 24*y(m). List the prime factors of a(4). 2, 3 List the prime factors of (-15 - -14)*-3*102. 2, 3, 17 Let s = -2037 + 2209. What are the prime factors of s? 2, 43 Let p = 792 + -534. List the prime factors of p. 2, 3, 43 Suppose -126*y = -415919 - 149569. List the prime factors of y. 2, 3, 11, 17 Let a(m) = m**3 - 8*m**2 + 5*m - 1. Let v be a(7). Let l = -12 - v. Suppose l*q - 52 = -i + 31, 0 = 2*q + 2*i - 50. List the prime factors of q. 29 Suppose 3*g + 562 - 7390 = 0. What are the prime factors of g? 2, 569 Let g be 1 - 206*(-3)/2. Suppose 4*x + h + 279 = 4*h, 4*h + g = -5*x. What are the prime factors of 15/(-5) - (x - 2)? 5, 13 Suppose 3*u - 4*z = -0*u + 6, -6 = -2*z. What are the prime factors of ((-2)/u)/((-2)/66)? 11 What are the prime factors of 5144029/1158 - (-10)/12? 3, 1481 Suppose -8*k + 1394 = 26*k. List the prime factors of k. 41 What are the prime factors of ((-402)/(-36)*-8)/(2/(-27))? 2, 3, 67 Let v be (1 - -8)/((-5)/(-45)). Suppose 0 = 3*o - 6*o + 2*q + 74, 0 = -2*o - 5*q + v. Let j = -11 + o. What are the prime factors of j? 17 Let i be 2 - (0 - (-3 - -73)). Suppose 0 = -3*o - o + i. List the prime factors of (-24)/(-108) - (-824)/o. 2, 23 Let t(w) = 18*w**2 + w - 1. Let c be t(1). Let f(i) = -i**3 + 19*i**2 - 14*i + 1. List the prime factors of f(c). 73 Let i be 0 + 2*(-71 - 0). Let b = -40 - i. Let u = 161 - b. What are the prime factors of u? 59 Let c(g) = g**3 + 9*g**2 + 7*g - 16. Let h be c(-7). Let z = h + 5. List the prime factors of z. 2, 19 Suppose -4*b + 2*d + 9366 = 0, 3*b + 3*d - 5*d = 7022. What are the prime factors of b? 2, 293 Let b = -749 + 939. What are the prime factors of b? 2, 5, 19 Let a(s) = -s**3 + 18*s**2 - 14*s - 2. Suppose -3*i + f + 50 = 0, i - 4*f = -f + 22. List the prime factors of a(i). 2, 11, 13 Let g(a) be the second derivative of a**3/6 + a**2 - 5*a. Let k be g(0). What are the prime factors of (4/(-6))/(k/(-75))? 5 Let d be 3 - 9/2 - 75/(-10). Suppose 0 = 5*h + 5, d*o - 3*o + 5*h = 205. What are the prime factors of o? 2, 5, 7 Suppose 5*a = -20, -10*a - 3882 = -2*x - 5*a. List the prime factors of x. 1931 Suppose -5*o - 16 = 3*d - 381, 4*d + 120 = 2*o. List the prime factors of o. 2, 5, 7 Suppose -u - 3*w = 4*u - 14536, -4*u = 2*w - 11628. What are the prime factors of u? 2, 1453 Suppose 27 = a + 228. Let r = -110 - a. What are the prime factors of r? 7, 13 Let c be 37/7 + (-12)/42. What are the prime factors of ((-18)/c)/(10/(-100))? 2, 3 Let k(d) be the third derivative of -d**4/24 + d**3/3 - 2*d**2. Let u be k(-2). Suppose 3*t + 153 = u*w, 0*t = -2*t + 2. What are the prime factors of w? 3, 13 Let c(p) = p**3 - 2*p**2 - 31*p + 4. Let y be (-2)/(10/(-31)) + 44/55. List the prime factors of c(y). 2 Let g be (1 + 1)/((-20)/(-30)). Suppose -7*x + g*x - 224 = 0. Let d = -34 - x. What are the prime factors of d? 2, 11 Let n(j) = 8*j**2 + 4*j - 2. Let u be n(3). Suppose g + 5*t = 123, -4*g = -2*t + u - 530. What are the prime factors of g? 113 Let u(d) = -11*d**3 + 7*d**2 - 8*d. Let i(b) = -b**3 - b. Let n(a) = 4*i(a) - u(a). What are the prime factors of n(3)? 2, 3, 23 Let i = 7238 + -2984. What are the prime factors of i? 2, 3, 709 Let s(u) = 10*u - 10. Let h be s(2). Suppose -5*j + 3*v = -59, -4*v + 2*v = 6. Suppose -5*n + z = -126, n = -5*z + h + j. What are the prime factors of n? 5 Let d = 826 - 382. List the prime factors of d. 2, 3, 37 Let c be (2976/(-36))/(2/(-3)). Suppose -3*z + 39 = o, 4*o - z = 58 + c. What are the prime factors of o? 3, 5 Let j be 606/(-21) + (-5)/35. Let c = 21 - j. What are the prime factors of c? 2, 5 Suppose -3*p = 2*p. Suppose p = -k + 3. Let w(j) = 12*j + 5. List the prime factors of w(k). 41 Let s = 41 - 19. Suppose -h = h - s. List the prime factors of (40*1)/(-10 + h). 2, 5 Let a(q) = 1077*q**2 + 13*q - 27. List the prime factors of a(2). 59, 73 Suppose 3*f = -2*m - 1 - 12, -4*m = -3*f - 37. Let g = f - -12. Suppose 5*x - 3*z = z + 80, 3*x - 61 = g*z. What are the prime factors of x? 2, 3 Let m(o) be the first derivative of -o**2/2 + 52*o - 3. What are the prime factors of m(0)? 2, 13 Let i(p) = 4 - 2 + 2 + 5*p + 8. Let r be i(-9). Let j = -18 - r. What are the prime factors of j? 3, 5 Let z(c) = 105*c + 19. List the prime factors of z(15). 2, 797 Suppose 40 = 3*m - h, -4*h = 5*m - 50 - 28. Suppose -5*l = -20, 2*l - m = -a - 0*l. List the prime factors of a. 2, 3 Let t(s) = -11*s - 9. Let o(a) = 11*a + 8. Let g(x) = 5*o(x) + 4*t(x). Let n(b) = -5*b + 22. Let u be n(4). What are the prime factors of g(u)? 2, 13 Let s(n) = n + 18. Suppose -6*g - 24 = -3*g. Let m be s(g). Let b(v) = v**3 - 11*v**2 + 12*v + 13. What are the prime factors of b(m)? 3, 11 Let v be 20/11 - 6/(-33). Suppose -2*x = 4*k - 258, 83 = 3*k - v*x - 107. What are the prime factors of k? 2 Suppose -h - 695 = -5*l - 6*h, -2*h = 6. Let z = 26 + -107. Let j = z + l. What are the prime factors of j? 61 What are the prime factors of (-13 - -1)*(-525)/(0 - -15)? 2, 3, 5, 7 Suppose -12 = -4*z - 4. Suppose -3*w = -3*y + 210, y - 2*y - z*w + 70 = 0. List the prime factors of y. 2, 5, 7 Suppose -2*a + 625 + 189 = 0. List the prime factors of a. 11, 37 Suppose -476 - 1225 = -9*q. What are the prime factors of q? 3, 7 Let l be (1*(-8 +
{ "pile_set_name": "DM Mathematics" }
*z Suppose 0*l + 3*l = 3*g - 21, -5*l + 5 = 5*g. Suppose g = 5*i - 6. Find the third derivative of -12*n**2 - 2*n**4 - n**6 + 14*n**2 + i*n**4 wrt n. -120*n**3 Let a(c) be the third derivative of 0 - 1/6*c**5 - 9*c**2 + 0*c - 5/4*c**4 + 0*c**3. What is the second derivative of a(b) wrt b? -20 Let f(i) be the first derivative of -51*i**3 - i**2/2 + 20*i + 311. What is the second derivative of f(l) wrt l? -306 Suppose 32 + 64 = 4*r. What is the derivative of 45*b + 46*b + r - 96*b wrt b? -5 Let d(c) be the first derivative of -260*c**7/7 + 269*c**3/3 - 394. What is the third derivative of d(p) wrt p? -31200*p**3 Let v(u) be the first derivative of 104*u**5/5 - 13*u**2/2 + 93. Find the second derivative of v(k) wrt k. 1248*k**2 Let w(y) be the second derivative of 19*y**6/30 + 3*y**5/20 + 31*y**4/12 - 22*y + 1. Find the third derivative of w(d) wrt d. 456*d + 18 Let x be (-4)/(-10) + (-104)/(-65). What is the third derivative of -25*g**x - 7*g**4 + g**2 - 6*g**2 wrt g? -168*g Suppose 0 = -4*v + 1 - 17, -2*v = -l + 10. Find the second derivative of l*u**3 - 1 - 8*u + 4*u**3 + 1 wrt u. 36*u Let y(t) = -3*t**3 - 2*t**2 + 2*t + 7. Let a be y(-2). Differentiate 44 - 29 + 8*o**4 + a*o**4 wrt o. 108*o**3 What is the second derivative of -440*c**4 - 29*c**4 + 3676*c**3 + 5*c - 3676*c**3 wrt c? -5628*c**2 Let v(z) = -2*z**4 - z**3 - 2*z + 1. Let g(n) = 3*n**4 + 5*n**3 - 70*n**2 + 4*n - 2. Let q(u) = -g(u) - 2*v(u). What is the third derivative of q(b) wrt b? 24*b - 18 Suppose 0 = -5*u - 3*k - 1 - 8, -6 = -3*u + 2*k. Let g be (3 - 0) + u/3. What is the derivative of 53*j + 3 - 53*j + 3*j**g wrt j? 9*j**2 Let q = 55 + -36. Find the third derivative of -971*a**4 - q*a**2 - 2*a**6 + 971*a**4 wrt a. -240*a**3 Let f(d) = d**2 + 11*d + 30. Let p be f(-9). What is the second derivative of p*h - 5*h + 13*h - 27*h**2 wrt h? -54 Suppose -2*i - 5*b - 16 = 0, 4*i - i = -4*b - 38. Let j = i - -25. What is the first derivative of -4 - g + j*g - 3*g - 4*g wrt g? -1 Suppose -5*j = -9 - 1. Let p be 6/j + (-18)/(-9). Find the first derivative of 0*f**2 - p*f**2 + 7 + 3*f**2 + f**2 wrt f. -2*f Let j(y) = 556*y**4 + 5*y**2 + 5*y + 448. Let f(m) = -557*m**4 - 6*m**2 - 6*m - 447. Let h(w) = 5*f(w) + 6*j(w). Differentiate h(r) with respect to r. 2204*r**3 Let n(j) be the third derivative of -5/12*j**4 - 16*j**2 + 0*j**7 + 1/168*j**8 + 0*j**5 + 0 + 0*j + 0*j**3 + 0*j**6. Find the second derivative of n(x) wrt x. 40*x**3 Let s(i) be the second derivative of -31*i**7/6 + 205*i**3/6 - 75*i - 1. What is the second derivative of s(p) wrt p? -4340*p**3 Let g(r) be the second derivative of 0 + 1/4*r**5 + 0*r**4 + 5/2*r**2 + 7*r + 0*r**3. What is the first derivative of g(c) wrt c? 15*c**2 What is the derivative of 229 + 3 - 29 - 49 - 75 + 162*j**2 wrt j? 324*j Differentiate -35 + 7*c**2 - 5*c**2 + 3*c**2 - 11*c + 0*c**2 wrt c. 10*c - 11 Find the third derivative of 24*r**2 + 9*r**4 + 4*r**2 - 128*r**4 - 72*r**4 - 19*r**4 - 4*r wrt r. -5040*r What is the third derivative of 39*l + 44*l + 35*l - 118*l - 972*l**2 + 137*l**3 + 2*l**5 wrt l? 120*l**2 + 822 Find the third derivative of 17*u**2 + 10*u**5 - 3*u**3 - 24*u**5 + u**2 + 4 + 4*u**2 + 8*u**2 wrt u. -840*u**2 - 18 Let k(f) = 14*f**3 - 3*f**2 - 3*f + 11. Let g(o) = 13*o**3 - 2*o**2 - 2*o + 10. Let l = -18 - -21. Let s(i) = l*g(i) - 2*k(i). Differentiate s(j) wrt j. 33*j**2 Find the second derivative of -50*r + 264*r**4 - 188*r**4 + 3 + 42*r wrt r. 912*r**2 Let u(q) be the third derivative of 0*q**3 + 0*q - 1/10*q**6 + 1/30*q**5 + 0*q**4 - 7*q**2 + 0. What is the third derivative of u(y) wrt y? -72 Suppose -3*v - 16 - 2 = 0. Let a = 1 - v. Find the second derivative of 3*i + 12*i - 14*i + a*i**3 wrt i. 42*i Let c(j) be the second derivative of 29*j**6/15 - 83*j**2/2 + 6*j - 1. What is the first derivative of c(o) wrt o? 232*o**3 Suppose -2*d = -3*d - 4*p + 18, 3*p - 15 = 0. Let v be d/(4 - (-22)/(-5)). What is the third derivative of 3*u**2 - 4*u**5 + v*u**5 + 4*u**2 + 2*u**2 wrt u? 60*u**2 Differentiate 14 + 32 - 3*w + 8 + 9 + 13*w**2 wrt w. 26*w - 3 Let v(u) = -35*u**3 - 4*u**2 - 6*u - 64. Let b(g) = 36*g**3 + 3*g**2 + 5*g + 63. Let x(z) = -6*b(z) - 5*v(z). Find the first derivative of x(p) wrt p. -123*p**2 + 4*p Let d(j) be the second derivative of -j**7/42 + 49*j**6/30 - j**3/3 - 67*j**2/2 - 212*j. What is the second derivative of d(v) wrt v? -20*v**3 + 588*v**2 Let m(v) = -548*v**3 + 7*v**2 + 42*v + 8. Let i(k) = -183*k**3 + 2*k**2 + 14*k + 3. Let z(g) = -8*i(g) + 3*m(g). What is the third derivative of z(u) wrt u? -1080 Let q be (-40)/90 + 87/135. Let f(w) be the first derivative of 0*w**4 + 1/2*w**2 + 0*w + 4 - q*w**5 + 0*w**3. Find the second derivative of f(j) wrt j. -12*j**2 Suppose 7*u - 649 = -152. What is the first derivative of 1 - u*h**2 - 67*h**2 + 165*h**2 wrt h? 54*h Let c(b) be the third derivative of 0*b**5 + 0*b**4 - 4*b**2 - 1 - 1/210*b**7 - 7/2*b**3 + 0*b + 19/120*b**6. Differentiate c(x) with respect to x. -4*x**3 + 57*x**2 Let c(x) = 2*x**4 - x**2 + x + 1. Let v(z) = 21*z**4 - 35*z**3 - 24*z**2 + 10*z + 11. Let q(w) = -22*c(w) + 2*v(w). What is the third derivative of q(s) wrt s? -48*s - 420 Let o(p) = p**3 - p**2 - 2*p. Let x(b) = 3*b**3 + 5*b**2 - 10*b - 40. Let k(l) = -5*o(l) + x(l). What is the first derivative of k(g) wrt g? -6*g**2 + 20*g Let x(c) be the third derivative of 107*c**7/210 - 269*c**5/60 - 155*c**2. What is the third derivative of x(h) wrt h? 2568*h Let k(l) = -l**2 + 14*l - 6. Let p be k(13). Find the second derivative of p*v - 9*v - 3*v**3 - v wrt v. -18*v Let d(m) be the second derivative of 9*m**8/56 - m**6/10 - m**4 + m**3/6 + 8*m - 3. What is the third derivative of d(g) wrt g? 1080*g**3 - 72*g Let j = -6 - -27. What is the derivative of 8 - 8 - 7 - j*v**2 wrt v? -42*v Let y be 20/5 + -2 + 0. Suppose -y*q = -p + 2, -3*p + 3 = -3*q - 3. Find the second derivative of -8*v - v**2 + p*v**2 - v**2 + 9*v**5 wrt v. 180*v**3 Find the second derivative of 2 + g**4 - 2*g**4 + 4 - 58*g**3 - 357*g - 6 wrt g. -12*g**2 - 348*g Let g(j) be the second derivative of j**10/140 + 7*j**6/72 - 3*j**3 - 32*j. Let f(b) be the second derivative of g(b). Find the third derivative of f(w) wrt w. 4320*w**3 Let h(s) be the third derivative of 0*s + 0*s**4 + 0 + 1/4*s**5 + 11*s**2 - 11/6*s**3. Find the first derivative of h(n) wrt n. 30*n Let w(t) be the first derivative of 33/5*t**5 + 6 + 0*t**4 + 0*t**2 + 0*t**3 + 23*t. What is the derivative of w(i) wrt i? 132*i**3 Suppose -3*s = -5*b - 20, -4*s - 4*b + 15 = b. Suppose j = -s*j + 12. Find the third derivative of -1 - 4*v**2 + 8*v**3 + 1 - v**j wrt v. 48 Find the third derivative of 49*v + 8*v**2 - 62*v**5 + 49*v - 146*v + 50*v wrt v. -3720*v**2 Suppose 7*g - 9 = 3*g - y, -2*y + 5 = -5*g. Suppose 3*w + g - 40 = 0. Differentiate 1 + 3*q**2 - w*q**2 + 8*q**2 wrt q. -4*q What is the third derivative of -2524*d**2 + 18*d**3 - d**6 - 18*d**3 + 3162*d**2 - 81*d**4 wrt d? -120*d**3 - 1944*d Suppose 10*j - 164 = 596. Find the second derivative of 36 + 20*s + 10*s**3 + 40 - j wrt s. 60*s Let f(c) be the first derivative of -13*c**3/3 + 345*c + 822. What is the first derivative of f(o) wrt o? -26*o Let z(u) = 20*u**2 + 2*u + 13. Let f(o) = -81*o**2 - 3*o - 19 - 37 - 6*o + 5. Let q(w) = 2*f(w) + 9*z(w). Find the first derivative of q(b) wrt b. 36*b Let c(l) be the third derivative of 5*l**8/28 - 23*l**4/8 + 73*l**2. Find the second derivative of c(x) wrt x. 1200*x**3 Let j(z) be the second derivative of 13*z**6/15 - z**5/10 - z**4/2 + z**2 - 203*z. Find the third derivative of j(b) wrt b. 624*b - 12 Let f(c) be the second derivative of -259*c**4/12 - 35*c**3/6 + 2*c**2 - 187*c. What is the second derivative of f(t) wrt t? -518 Let t(h) be the first derivative of -h**3/3 + 105*h + 78. Find the first derivative of t(a) wrt a. -2*a Let d = -11 + 10. Let x be d/(-7) + 80/28. What is the second derivative of 9*q**x + q + 7*q - 2*q - 4*q**3 wrt q? 30*q Let c(d) = 272*d**2 - 4*d + 14. Let u(y) = -2*y**2 + 2*y - 1. Let j(k) = -c(k) - 5*u(k). What is the second derivative of j(f) wrt f? -524 Let r(u) = -u**3 + 9*u**2 + 6*u + 46. Let x be r(10). Let g(b) be the first derivative of x*b + 5/2*b**2 + 3. Differentiate g(j) with respect to j. 5 Let r(f) be the second derivative of 39*
{ "pile_set_name": "DM Mathematics" }
h). Calculate x(-3). 2 Let c = 8 + 5. Let l(f) = f - 18 + c - 6*f - f + 2*f + f**2. Give l(-2). 7 Suppose 3*n - 11 = v - 1, 0 = -2*n + 6. Let x be (-3 - (-21)/4)*(-4)/(-3). Let g(b) = -16 - 11*b + x + 6 + 8. Calculate g(v). 12 Let z(j) = 968*j**2 - j**3 - j**3 + j**3 + 2 - 23*j**3 - 970*j**2. Determine z(-1). 24 Let p(w) = 5706*w**2 + 4*w - 11421*w**2 + 5714*w**2 + 16. Calculate p(8). -16 Suppose -2*q - 1 = -r - 8, 0 = 3*q + 4*r - 27. Let b(a) = -6*a**2 - q + 0*a**3 + 3*a**3 + 11*a - 2*a**3 - 3*a. Give b(5). 10 Let p = 12 + 7. Let r(g) = g**3 - 19*g**2 + 3*g - 58. Give r(p). -1 Let h(s) = 2*s + 2. Suppose -576 = 61*b - 65*b. Let c = 236 - b. Let n = 99 - c. Determine h(n). 16 Let t(m) = 131*m + 8. Let b(c) = 319*c + 17. Let i(a) = 2*b(a) - 5*t(a). What is i(0)? -6 Suppose 64*f = -166 - 922. Let m(x) = -32*x - 546. What is m(f)? -2 Let h(m) = -m**2 + m - 20. Let g be (-2)/(-3)*(-54)/(-18). Suppose -4*r - 2 - 1 = -b, 15 = g*r + 5*b. What is h(r)? -20 Let m = 10153 + -10150. Let x(a) = -10*a**2 - 4*a + 12. What is x(m)? -90 Suppose -12*u + 140 = 56. Let f(b) = 3*b**2 + 12*b - 5. Let t(m) = -6 - 3*m + 4*m**2 + 7*m + 7*m + 2*m. Let n(j) = -5*f(j) + 4*t(j). Calculate n(u). -6 Let r be (13/(-4))/((-6)/24). Suppose -23 - r = -3*f. Suppose -i - 5*w + 0*w = -f, 3*i = w + 4. Let j(b) = -b**2 + 4*b - 3. Calculate j(i). 1 Let b(u) be the third derivative of -1/10*u**5 + 0*u**3 + 0 + 0*u + 8*u**2 - 5/24*u**4 - 1/360*u**6. Let j(g) be the second derivative of b(g). Determine j(-8). 4 Suppose -2*h + 4*k - 22 = 0, -4*k + 9*k - 23 = -2*h. Let g(p) = -2*p + 4*p - p + 4*p - 1. Determine g(h). -6 Suppose 0 = i - 7*k - 23 - 6, 0 = -i - k + 5. Let w(j) = -19*j + 5. What is w(i)? -147 Let s(t) = 9*t**3 + 5*t**2 - 10*t + 56. Let n(w) = -w**3 - w**2 + w - 7. Let d(m) = -8*n(m) - s(m). Let q = -375 + 379. Determine d(q). -8 Let m(g) = -g**2 - 2*g + 4. Let p(b) = b**3 - 33*b**2 - 70*b - 1. Let q be p(35). Let h(u) = -u + 2. Let z(d) = q*m(d) - 2*h(d). Give z(6). 52 Let w(k) be the first derivative of 15*k**2/2 - 16*k + 7010. Calculate w(1). -1 Let m(d) = 4*d**2 - 4*d + 7. Let k(u) = 3*u**2 - u + 1. Let w(g) = 5*k(g) - m(g). What is w(1)? 8 Let k(a) = 1628*a + 1501*a + 1 - 3042*a. What is k(-1)? -86 Let i(g) = g**3 + 9*g**2 - 10*g - 3. Let l be i(-10). Let z be ((-195)/l)/5 - 4. Let s(p) = 17*p - z*p + 3 - 7*p. Determine s(-2). 1 Suppose 15*o - 9*o = -24. Let f(w) = w**2 - 3*w - 4. Let l(b) = 2*b**2 - 7*b - 9. Let t(h) = o*l(h) + 9*f(h). Calculate t(-3). 6 Let q(s) = -1642*s + 1627*s + 583 - 495. Calculate q(6). -2 Let w(s) = s**2 - 22*s + 101. Let i be w(16). Let p(m) = -375*m**2 + 2 + i*m + 374*m**2 + 0. Give p(5). 2 Suppose -16*n + 33 = 1. Let y(c) = 7*c**n - 3 - 25*c + 29*c + 5. Suppose -f - 2 = -0. Give y(f). 22 Let b(a) be the third derivative of -22*a**2 + 8/3*a**3 + 1/24*a**4 + 0*a + 0. Calculate b(11). 27 Suppose 9 = 3*x - j + 4*j, 4*j = 36. Let m(h) = 2*h**3 + 10*h**2 - 4*h + 3. What is m(x)? -45 Let p(x) = -22*x + 4. Suppose 56*c + 15 = 51*c, 3*i - 5*c = 21. Give p(i). -40 Let q(f) = 33*f - 188. Let j be q(6). Suppose 0 = -j*t + 8*t - 8. Let k(u) = -u**2 + u + 3. Calculate k(t). -17 Suppose -216*z - 991 = 186 - 97. Let r(q) = -q**3 - 7*q**2 - 14*q - 11. Calculate r(z). 9 Let f(r) = 2*r**2 - 34*r + 19. Let c be f(17). Suppose 2*y = n - c, -4*n = -4*y - 9*n - 17. Let i(d) = d**2 + 10*d + 10. Calculate i(y). -6 Let n be (-5)/((-10)/(-3)) + (-3)/(-2). Let q = 2 + n. Suppose -4*a = -6*a + q. Let j(d) = -5*d**2 + d. Calculate j(a). -4 Let t be (1*(-9 - -6))/(1/2). Let p(s) = -s**3 - 8*s**2 - 12*s + 4. Let x be p(t). Let i(c) = 4*c - 1. Give i(x). 15 Let z = 82 + -62. Suppose 5*b + 8 = -f - 0, -5*f + 5*b + z = 0. Let c(h) = -f*h + 7 + 2*h - h**3 + 7*h**2 - 18*h + 9*h. Give c(6). -11 Suppose 41 = -6*c + 77. Let v(m) = 2*m**2 + 1. Let w(k) = 11*k**2 + k + 5. Let f(p) = c*v(p) - w(p). What is f(2)? 3 Let n(s) = -46*s + 128*s + s**2 - 3 - 40*s - 38*s - 10. Calculate n(-5). -8 Let f be (-1 - 2/(-6))/(2/(-30)). Let l(x) = -x + 10. Let t be l(f). Let s(n) = 2 + 3 - n**3 - 6 + n**2. Determine s(t). -1 Let n(i) = -2*i**3 - 4*i**2 + i + 3. Let p(w) = 2*w**3 + 9*w**2 - 6*w - 43. Let h be p(-4). Determine n(h). 18 Let b(o) be the second derivative of -17*o + 0 + 2/3*o**3 + 0*o**2 - 1/6*o**4 - 1/20*o**5. Determine b(-3). -3 Suppose 7 = 5*i - b - 7, 2*i - 10 = -4*b. Let r(w) = 5*w - 577 + 7*w - 564 + 1142. What is r(i)? 37 Let f(q) = -2*q**3 + 4*q. Let y(p) = -11*p**3 - 9*p**2 + 13*p + 16. Let b(d) = -5*f(d) + y(d). Determine b(-8). 8 Let v(x) = 9*x - 2. Let s(d) = -d**2 - 19*d + 5. Let f(j) = -2*s(j) - 5*v(j). Let z = 110 + -105. What is f(z)? 15 Let h(s) be the third derivative of s**6/120 - 5*s**5/12 + 7*s**4/4 + 67*s**3/6 - 14*s**2 - 3. What is h(23)? -25 Let d(j) = -89*j + 170. Let p be d(5). Let a = 278 + p. Let b(f) = -f**2 + 1. Calculate b(a). -8 Suppose 0 = 5*c - 33 + 3. Let i(y) be the third derivative of -y**6/120 + 7*y**5/60 - 7*y**4/24 - 7*y**3/6 - 15*y**2. Calculate i(c). -13 Let o(n) = -5*n + 72. Let x(s) = 1014*s + 16. Let f be x(0). Calculate o(f). -8 Let f(u) = 7*u - 21. Let l be ((-4)/(-10) + (-106)/90)/((-11)/99). What is f(l)? 28 Let j(d) = 5*d**2 + 320779 + 38*d - 4*d**2 + 3*d**2 - 320754. What is j(-9)? 7 Let o(v) be the first derivative of v**4/4 + v**3 - v**2/2 - 2. Let a be (-51)/12 + 4 + 35/28. Let k be (-2 + a)*6/(-3). Calculate o(k). 18 Let i(m) = -10*m + 106. Let r(q) = 13*q + 607. Let b be r(-46). Determine i(b). 16 Let t(g) = g**3 + 3*g - 11. Let j be ((-2)/2)/(7/17) - (-172)/(-301). Calculate t(j). -47 Let k(d) = -d**3 - 7*d**2 + 20*d - 13. Suppose 5*t = -5*v + 11 - 76, 0 = -12*t - 4*v - 124. Determine k(t). -31 Let a(l) = -4*l - 4. Let b be a(-1). Let n(j) be the second derivative of j**4/12 - 20*j**2 - 5*j + 5. Determine n(b). -40 Let o(r) = -6225 + 3122 - 3*r - r**2 + 3104. What is o(-9)? -53 Let k(a) be the second derivative of a**5/20 - 5*a**4/6 + 14*a**3/3 - 8*a**2 + 5449*a. What is k(4)? 0 Let i(n) = -19*n**2 - 2*n + 2*n**2 + 25*n**2 + 8 - 9*n**2. What is i(0)? 8 Let s(j) = -2*j - 11. Suppose 5*q = 10*q - 7*q - q. Determine s(q). -11 Suppose -2*a + 9*a + 17 = 80. Let q(n) = -n**2 + 6*n + 17. Determine q(a). -10 Let i(b) = -14*b**2 - 7. Let q(g) = -15*g**2 - 6. Let u(w) = -6*i(w) + 7*q(w). Let c(m) = -4*m - 1. Let v be c(0). Calculate u(v). -21 Suppose 46 = r - 3*j, -5*r + 2*j + 225 - 21 = 0. Suppose i - 6 = 3*h, 63*i - r = 59*i - 4*h. Let s(f) = f**3 - 8*f**2 - 10*f + 4. What is s(i)? -5 Let g(a) = 3*a - 12. Suppose 20 = 5*u + 2*o, 0*o - 9 = -4*u - 3*o. Let s be g(u). Let l(b) = 0 + 2 + s*b + 0 - b**2 - b. What is l(4)? 6 Let d(w) be the second derivative of -w**5/20 + 25*w**3/6 + 3*w**2 - 231*w - 3. Calculate d(5). 6 Let i = -115 - -120. Suppose -3 = i*b - 33. Let k(s) = 11*s**2 - 15*s + 15. Let z(j) = -4*j**2 + 5*j - 5. Let a(v) = -3*k(v) - 8*z(v). What is a(b)? -11 Let s(r) be the first derivative of -4*r**3/3 - r**2/2 + r - 474. Suppose 0 + 2 = 2*l. Give s(l). -4 Let t(z) = -2*z**3 - 6*z**2 + 15*z + 9. Let m be 3/(21 + 957/(-44)). Determine t(m). -19 Let n(k) = 20*k**3 + 15*k**2 + 21*k. Let m(p) = 46*p**2 + 51*p**2 + 11*p + 49*p**2 - 138*p**2 + 11*p**3. Let x(z) = -11*m(z) + 6*n(z). Determine x(4). -12 Let g(m) = 259*m - m**2 - m**2 - 267*m + 2*m**2 - 2*m**2 - 4. Calculate g(-3). 2 Suppose 11*p + 9 = 10*p. Let z(v) be the second derivative of -v**5/20 - 5*v**4/6 - 11*v**3/6 + 7*v**2/2 + 569*v - 2. Determine z(p). 25 Let j(t) = -9*t + 8*t**2 - 654 - t**3 + 3*t + 656. Let m(z) = -z**3 + 9*z**2 - 7*z + 3. Let k(g) = 4*j(g) - 3*m(g). Give k(4). 3 Suppose 37*f + 104 = 11*f. Let x(q) = -q**3 - 6*q**2 - 2*q + 4. Give x(f). -20 Let o(r) be the third derivative of -19*r**4/24 - 5*r**3/6 - 331*r**2. Give o(-2). 33 Suppose 39*c - 25*c = 630. Let a(v) = -93 + 58 - 2*v + c. Give a(6). -2 Let j(t) = 2*t**3 + t**2 + t + 1. Let q be (-351)/(-45) + (4/(-5) - -1). Suppose 20 = -12*o + q. Give j(o). -1 Let f(u) = -4*u - 10*u - 3 + 84*u**2 + 75*u**2 + 13*u - 150*u**2. Calculate f(2). 31 Let d(f) = 14*f - 4*f - 79 - 15*f + f + 6*f. Determine d(7). -65 Suppose 0 = -90*w + 57 - 867. Let p(u) = u**3 + 8*u**2 - 6*u + 31. What is p(w)? 4 Let g be (-2)/9 - (1240/90 + -8). Let i(s) = 7*s + 33. Determine i(g). -9 Suppose 10*z = 33 + 157. Let t(s) = z*s + 28*s -
{ "pile_set_name": "DM Mathematics" }
*n - 3*n + 5*n)*(2*n + 0*n - 3*n) + (-n + 3*n - 4*n)*(0 + 0 - n) + 238*n - 17*n**2 - 238*n. -21*n**2 Expand (y**2 + y**2 + 0*y**2)*(8*y + 52 - 17*y + 11*y)*(3 + 0 - 1). 8*y**3 + 208*y**2 Expand ((-1 + 1 - k)*(-2 - 2*k + 2) + 3*k**2 - 4*k**2 - 5*k**2 - k + 2*k**2 + k)*(-3 + 2 - 1)*(-k**2 + 0*k**2 - k**2). -8*k**4 Expand (-5*y + 4*y + 2*y)*(-y + 3*y**2 + y) + 3*y**3 - 4*y**3 + 2*y**3. 4*y**3 Expand (-5 + 2 + 11)*(2*p**3 - 2*p**3 - 2*p**4)*(2 - 1 - 4). 48*p**4 Expand (-2 + p**3 + 2)*(3 - 2*p**2 - 3) + 2*p**5 + 4*p**5 - p**5 + 0*p + 0*p + p**5. 4*p**5 Expand (6*q**2 + 2*q**2 - 4*q**2)*(4 - 2 + 0)*(-q - 3*q + 6*q)*(1 + 3 + 0). 64*q**3 Expand ((1 - 1 - i)*(-i**3 - 4*i**3 + 2*i**3) + 0*i**4 + 3*i**4 - 2*i**4 + (-i**2 + 1 - 1)*(4 - 4 - i**2))*(-4*i + 5*i - 4*i). -15*i**5 Expand -3 + 3 + o + (6 - 1 - 2)*(-3*o - 3*o + 5*o) + 3 + o - 3 + (-4 + 2 + 1)*(-5 - o + 5) + 2*o - 3*o + 4*o. 3*o Expand -6*u**4 + 2*u**4 + 2*u**4 + (0 + 0 - u**3 - 2)*(25*u + 3628 - 3628). -27*u**4 - 50*u Expand (-3*g**4 + 0*g**2 + 0*g**2)*(-2*g + 4*g - g) + 0*g**5 - 4*g**5 + 3*g**5 - 1 + 3*g**5 - g**5 + 3. -2*g**5 + 2 Expand (s - 2*s + 2*s)*(-3 + s**2 + 4 - 2). s**3 - s Expand (-3*w - 2*w + 6*w)*(-4*w + 8 + 3*w + 0*w). -w**2 + 8*w Expand (y**2 - 2*y**5 - y**2)*(4 + 3 - 4) + 2*y**5 - 26*y**2 + 26*y**2 - 2*y**3. -4*y**5 - 2*y**3 Expand (-2*t - 4*t - 12*t)*(8*t - t - 3*t + (2 - 1 + 0)*(3*t - 5*t + t)). -54*t**2 Expand (0 + j + 0)*(3 - 4 - 2) + 7*j + 0 + 0. 4*j Expand (-o + 0*o - o)*(2 - 4 + 1 + 17 + 28 - 37 + 0 - 1 - 1 - 1 + 0 + 3 + 0 - 1 + 3 + (-4 + 1 + 2)*(3 - 5 + 3)). -16*o Expand (-105 + 151 - 101)*(2*m + 0*m + 0*m). -110*m Expand -4*m**5 + 4*m**5 - m**5 + (3*m + m**2 - 3*m)*(-2*m**3 + 0 + 0) + 5*m**2 - m**5 - 5*m**2. -4*m**5 Expand 24*q**3 - 11*q**3 + 8*q**3 + (4 - 4 - 2*q)*(2*q**2 + q**2 - 2*q**2). 19*q**3 Expand (24 + 4 - 5)*(36*a**3 + a**4 - 36*a**3). 23*a**4 Expand (-2*f**2 + 3*f**2 + 0*f**2)*(0*f + 2*f**3 + 0*f) + f**5 + 0*f**5 + 2*f**5 + 12*f - 12*f + 3*f**5. 8*f**5 Expand (3*a**2 + a**2 - 6*a**2)*(-a + 6 - 6)*(-4 + 20 - 6). 20*a**3 Expand (-9 + 4 + 3)*(-2*y + 3 - 3)*(y**2 + y - y) + y**3 + y**3 - y**3. 5*y**3 Expand (-13 + 2*i**2 + 13)*(-5*i + 5*i - 2*i**2). -4*i**4 Expand (-3*h + 7*h - 2*h)*(1 + 0 - 2) + (2 + 5 - 5)*(4*h - 6*h + 0*h). -6*h Expand (4*c - 10*c - 7*c)*(1 + 0 - 4). 39*c Expand (3*g - 2*g - 3*g)*(-g - 4*g + 3*g + 5). 4*g**2 - 10*g Expand (-3*u - 3*u + 3*u)*(5 + 0 - 1) - 4*u + 3*u + 3*u. -10*u Expand -m + 8*m + 14*m + 1 - 2*m - 1 + (2 - 5 + 4)*(-m + m - m) + (-2*m + 0*m + 0*m)*(4 - 1 - 1) + 3 - m - 3. 13*m Expand (-5*b + 2*b + 2*b - 2)*(1 + 3 - 3). -b - 2 Expand s**3 + 3 - 3 + s**2 - s**2 - 2*s**3 - 4*s**3 + 3*s**3 + 0*s**3 + (0 + 0 + s)*(-s**2 + 3*s - 3*s) - s**3 + 0*s**3 + 2*s**3. -2*s**3 Expand (-1 - 1 + 1 + (0 - 4 + 3)*(1 - 4 + 1))*(x**5 - 2*x**5 + 6*x**5). 5*x**5 Expand (240 - 240 + 157*z)*(-2*z**2 + z**3 + 2*z**2). 157*z**4 Expand (-18*a**3 + a + 420 - 420)*(a**2 + 0*a**2 + 0*a**2). -18*a**5 + a**3 Expand (-5 + 1 - 1)*(w + 2*w - 4*w) - 2*w - 1 + 1 + (3*w + 4*w - 2*w)*(4 - 1 - 1). 13*w Expand (-1 + 4 - 5)*(-11 + 11 - 12*g)*(0 - 3 + 0)*(3 - 1 - 1). -72*g Expand (-4 - 2 + 5)*(-2*g + 5*g - 13*g)*(30 - 30 - 4*g**2) + 2*g**3 + 5 - 5. -38*g**3 Expand (2*q**3 - q**2 + q**2)*(-1 + 1 + 2*q) + (0*q + 2*q + 2*q)*(9 + 2*q**3 - 9). 12*q**4 Expand 2*c + 3 - 3 + (31*c - 15*c - 6 - 20*c)*(3 + 2 - 6) - 2*c - 2*c + 2*c. 4*c + 6 Expand (-3091*g**2 + 3091*g**2 + 107*g**3)*(4*g - 3*g - 2*g). -107*g**4 Expand (-2 + 2 + 6*x)*((-2*x + 1 - 1)*(-x - 4*x + 4*x) - 3*x**2 + 3*x**2 - x**2). 6*x**3 Expand -4*o**3 - 5*o**5 + 4*o**3 + (3*o**2 + 4*o**2 - 6*o**2)*(2*o**3 - 4*o**3 - 3*o**3). -10*o**5 Expand (-4 + 2 + 5)*(0 - 1 + 0)*(d + 0*d + d). -6*d Expand (-2 + b + 2)*(-2*b**3 + 3*b**3 + 2*b**3) + b**4 - 2*b**4 + 0*b**4 + (-2*b + 2*b**2 + 2*b)*(2*b**2 + 3*b**2 - 3*b**2) - 4*b**4 + 0*b**4 + b**4. 3*b**4 Expand (x - x**2 - x)*(-3*x**3 + 3*x**3 + 6*x**3). -6*x**5 Expand 6*l**2 - l**2 - 2*l**2 - 2*l**2 - 10*l**2 + 0*l**2 + (-l - 3*l + 5*l)*(-5*l + l + 3*l). -10*l**2 Expand (-2*v**2 - 2*v**2 + 3*v**2)*(-5*v + 3*v - v). 3*v**3 Expand (1 + 7 + 2)*(-5*u**3 + 2*u**3 + 2*u**3). -10*u**3 Expand (-5 + 2 + 0)*(0*u + 13*u - 5*u). -24*u Expand (-a**2 - 3*a**2 + 0*a**2)*(1 + a - 3 - 4*a). 12*a**3 + 8*a**2 Expand (0*b + b - 2*b)*(-5*b**3 + 5*b**3 + 5*b**3) + 3*b**4 - b**4 - 3*b**4. -6*b**4 Expand (-5*l**2 + 1 - 1)*(l - 6 + 6). -5*l**3 Expand ((v - 4*v + 5*v)*(-1 - 3 + 5) - 3*v + 12 - 12)*(-6 - 5 + 0). 11*v Expand (2 - 2 + 1)*(-21*w**3 - 3*w**2 + 1 + 27*w**3 - 2). 6*w**3 - 3*w**2 - 1 Expand -3 + 2*o**4 + 3 + (12*o**3 - 2*o**3 + 3*o**3)*(-2 + 2 - o) - 3*o**4 + 3*o**4 + o**4. -10*o**4 Expand d**5 + d**5 - 4*d**5 - 5*d**5 + 4*d**5 - 2*d**5 + (2 - 4 + 3)*(-5*d**5 + 2*d**5 + 4*d**5). -4*d**5 Expand (3 - 3 - 4)*(-v**4 + 2*v**5 - 2*v**4 + 2*v**4). -8*v**5 + 4*v**4 Expand (0*j**5 - 3*j**5 - 6*j**5)*(3 - 2 - 2)*(1 - 6 + 1). -36*j**5 Expand (-x**3 + 7*x**3 - 3*x**3)*(1 - 5 + 2) - 4*x**3 + x**3 + x**3 - 3*x**3 + 2*x**2 + 2*x**3 + x + x. -9*x**3 + 2*x**2 + 2*x Expand i**4 - 2*i**4 - 3*i**4 + (1 - i**2 - 1)*(2 + i**2 - 2) + 5*i**3 - 5*i**3 - 15*i**4. -20*i**4 Expand (0*r + r - 3*r)*(-2 + r + 2) - 3*r**2 - r + r + (3*r - 5*r + r)*(-3*r + r + 4*r) - 3*r**2 + 5*r**2 - r**2. -6*r**2 Expand (-54 - 42 + 155)*(-2 - a + 2). -59*a Expand (-1 + 1 - k)*(2*k - 4*k + 4*k + (1 - 3 - 3)*(5*k - 4*k + 0*k) + 2*k + 0*k + 0*k). k**2 Expand (1 - 6*p + 6*p - 7*p**2)*(3*p**3 + 7*p**3 - 6*p**3). -28*p**5 + 4*p**3 Expand -z**4 - 1 + 1 + 2*z**4 + z - z + (-z**3 + 3*z**3 + 0*z**3)*(2*z - 1 + 1) + 2*z**2 + 2*z**4 - z**4 - z**2. 6*z**4 + z**2 Expand (-3 + 5 + 4)*(-s**4 + 2*s**5 + s**4). 12*s**5 Expand -16*g**2 + 2*g**4 + 16*g**2 + (0*g**2 - 3*g**2 + 5*g**2)*(2*g**2 - 5*g + 5*g) - 3*g**4 - 3*g**4 + 4*g**4. 4*g**4 Expand (1 + 3 - 6 + (-7 + 4 + 1)*(3 - 4 + 2) + (-2 - 2 + 3)*(-1 + 0 - 2))*(-6*l**4 + 2*l**4 + 3*l**4). l**4 Expand 5*v**3 - 5*v**3 + 2*v**3 + (v**2 + 3*v - 3*v)*(-2*v + 0*v + 4*v) - 1 + v**3 + 1 + 4*v**3 - 4*v**3 + 2*v**3 + (3 + 0 - 2)*(-v**3 + 8*v - 4*v - 7*v). 6*v**3 - 3*v Expand (-3*h + h + 0*h)*(5 + 13 - 8)*(2 - 5 + 1). 40*h Expand 2*a**2 + 0*a + 0*a + a**2 + a**2 + 2*a**2 + (-2*a + 2*a + a)*(4 - 4 - 2*a). 4*a**2 Expand 1 - z**2 - 1 + 12*z**2 + 326 - 326 + (-z**2 + 2*z**2 - 2*z**2)*(-1 - 3 + 3) + 2*z**2 - 3*z**2 + 0*z**2. 11*z**2 Expand (1 - 3 + 1)*(4*g + 0*g + 2 + g) - 5*g + 2 - 2 + (2*g - 3*g + 0*g)*(-5 + 1 + 2). -8*g - 2 Expand (-3*s - 2*s + 3*s)*(s**2 + 2*s**2 - s**2) + 2*s - 4 + 3*s**3 - s + 5. -s**3 + s + 1 Expand (3*i + i - 2*i)*(-4*i**2 + 10*i**2 - 3*i**2)*(3*i - 4 + 4). 18*i**4 Expand (6*q**3 + 0*q**3 + 6*q**3)*(2*q - 2*q + 2*q) + (-2*q**3 + q**3 - q**3)*(q + 0*q - 3*q). 28*q**4 Expand (w**3 + 3*w - 3*w)*(w - w + 4*w) + (-1 + 1 - 2*w)*(-w + w**3 + w). 2*w**4 Expand (-q - 4*q + 4*q + (1 + 3 - 1)*(3*q + 0*q - 4*q))*(5*q - 4*q - 3*q). 8*q**2 Expand (-3 + 1 + 3 + 2*f)*(2 - f**3 - 2). -2*f**4 - f**3 Expand 0 - 3*y + 0 + 2*y - 5*y + y + (3 - 1 + 0)*(-3*y + y + 0*y) - 147 + 147 + 16*y. 7*y Expand (-y**2 + 2*y**2 - 2*y**2)*(-2 + 3 - 3)*(-y + 0*y + 3*y)*(-2 - 1 + 2). -4*y**3 Expand -c**4 - 6 + 0 + 3*c**4 - 59 - 2*c**4 + 61 - 5*c**4 - c - c**4 + c + (2*c + c**3 - 2*c)*(-3 - 2*c + 3). -8*c**4 - 4 Expand (93*y - 49*y + 21*y)*(4*y - 2 + 3 - 3*y). 65*y**2 + 65*y Expand (4 + 0 - 3 + 2*n)*(-4*n**2 + 0*n**2 + 3*n**2). -2*n**3 - n**2 Expand (2 - 2 + 2*b + (-1 - 4 + 4)*(1 + b - 1) + b + 2 - 2)*(-2*b + 31 - 22 + 49). -4*b**2 + 116*b Expand (0*l + 0*l + l**2)*(-2*l**2 - 2 - 2 + 0). -2*l**4 - 4*l**2 Expand (f**5 + 2*f**5 + 5*f**5)*(1 - 1 + 2). 16*f**5 Expand 3*t**3 + t - t - t**3 + 0 + 0 + (2 + t - 2)*(t**2 - 4*t**2 + 2*t**2) + 2 - 2 + 2*t**3 - t + t + t**3. 4*t**3 Expand (0*j**2 - 2*j**2 + 3*j**2)*(3 + 3*j**2 - 4*j**2 - 1) + (-7*j**4 + 3*j**4 + 2*j**4)*(2 + 3 - 3). -5*j**4 + 2*j**2 Expand (4*r - 4*r - 4*r**2)*(2 + 2 - 3)*(-2 + 0 - 3). 20*r**2 Expand (z**3 + 0*z**3 - 3*z**3)*(-3*z + 0 + 6 - 10). 6*z**4 + 8*z**3 Expand (-b + 0 - 2 + 0*b)*(-26*b - 26*b + 29*b). 23*b**2 + 46*b Expand -2*k**4 + 2*k**4 - 3*k**5 + (-2*k**2 - 2*k**2 + k**2)*(-2*k**3 - k**3 + k**3) + 3*k**5 - 2*k**5 - 3*k**5. k**5 Expand (2 - 3 - 4 + 2 + 2 - 5 + (1 + 0 - 2)*(2 + 1 - 2) - 1 + 1 - 2 - 1 - 1 + 1)*(-2*g - 1 + 1). 20*g Expand (2*x**2 + 3*x**2 - 7*x**2)*(3*x - x**2 - 3*x) +
{ "pile_set_name": "DM Mathematics" }
valuate ((-374)/17)/726*-33. 1 Calculate 44/(-8)*(-342)/95*(-10)/(-33). 6 Calculate (-4)/7*(-42)/4*135/(-90). -9 Calculate -12*-14*5/(-945). -8/9 What is (-4)/6*-3*(-116)/8? -29 What is (19/((-665)/30))/((-7)/(735/15))? 6 What is 21/(-4)*(-4776)/(-17910)? -7/5 Calculate ((-18)/4)/((25071/(-610))/137). 15 What is the value of ((-21)/(567/45))/(5/(-6))? 2 Evaluate ((-62)/(-93))/((-8)/12*-2)*-24. -12 What is ((-16)/(-36)*3)/(((-1184)/624)/(-37))? 26 What is 16/(-6)*(-5841)/(-2596)? -6 Calculate (-6)/3*(-638)/(-44). -29 Calculate -45*(-22)/726*4/(-6). -10/11 -1*4*(-85)/(255/(-18)) -24 What is 7/3*(-186)/62? -7 Evaluate (5/(-36))/((-4590)/1224). 1/27 Calculate (-2550)/(-204)*(-48)/(-200). 3 What is (24/(-10))/((-786)/7860)? 24 (-2)/(-22)*((-11)/(-11))/(-2)*4 -2/11 What is the value of ((-81)/(-15))/(1/(-1)*657/3285)? -27 (1370/116450)/((-1)/(-10)) 2/17 What is (-4)/10*(-865)/(-346)? -1 ((-3)/(-12))/((-153)/7956) -13 What is the value of 50/750*(-1995)/19? -7 What is the value of (-11)/((-44)/3)*-5*16/(-540)? 1/9 Calculate (2/5*(-90)/(-63))/(8496/3304). 2/9 What is the value of (-2)/((-8)/(-84)*-1)*78/117? 14 What is the value of (48/(-4608)*-32)/((-3)/(-171))? 19 Evaluate ((-10)/(-70))/((216/(-63))/2). -1/12 54/3996*-4*(-7)/(-7) -2/37 (12/5)/(128/800*10/(-4)) -6 Calculate ((-36)/(-20))/(324/216)*(-70)/(-4). 21 Calculate -4*(((-9)/132)/(-1))/(6/8). -4/11 What is the value of ((-261)/(-54)*2)/(-3*14/126)? -29 What is ((2/(-114))/(4/(48/2)))/(-1)? 2/19 What is 3645/(-135)*1*2/(-6)? 9 Calculate (-48)/14*(-183)/(-732). -6/7 What is 101/(-2929)*(-4)/((-4)/(-1))*2? 2/29 (136/(-720))/17*-8*5/(-6) -2/27 ((-160)/360)/(((-4)/27)/2) 6 Evaluate 4/9*-3*27/(-6). 6 What is the value of (-28)/6*(-816)/(-952)? -4 Evaluate (-230)/92*(-3)/(75/70). 7 (798/(-56))/(((-90)/8)/15) 19 Calculate (-11)/(165/20)*9. -12 517/(-329)*28/20 -11/5 What is 28/49*(-7)/(-6)*(-1305)/(-174)? 5 Evaluate 12/(240/25)*(-12)/(-100)*5. 3/4 What is the value of (67/(10720/(-1536)))/(2/5)? -24 Calculate (-30)/21*3094/5525. -4/5 What is (-338)/1183*14/9? -4/9 What is (2/(-170))/(-22*43/9460)? 2/17 What is the value of (-10)/(-2)*30/30? 5 Calculate (8/((-20)/(-5)))/((-483)/(-21)). 2/23 4*(7/70)/((-24)/40)*-3 2 What is the value of (56/(-36))/((357/21)/51)? -14/3 Evaluate 2*((-81)/9)/18*13. -13 Calculate ((-20)/110)/(13/1144). -16 Calculate (3/(-6))/(1*13/((-26)/(-9))). -1/9 What is the value of 1960/420*(-6)/(-77)? 4/11 Calculate (1/4)/(((-32)/(-4))/(-64)). -2 Evaluate (-60)/(-10)*(-7)/(-3*14). 1 What is (-3)/((-1)/((-22)/198*(-3)/2))? 1/2 (68430/(-15967))/((-1)/((-14)/(-16))) 15/4 (12/16*-2)/((5049/68)/33) -2/3 What is the value of ((440/140)/(-11))/((-12)/14*-1)? -1/3 Evaluate 1/9*(-5)/((-45)/27). 1/3 What is ((-513)/(-133))/(3/(-1))*(-20)/18? 10/7 Evaluate ((-55)/(-2))/((-2055)/1644). -22 Calculate (((-6)/2)/((-1)/(-1)))/(2919/(-695)). 5/7 What is the value of ((-130)/2145)/((-8)/(-12))? -1/11 Evaluate 1275/85*(-9)/60. -9/4 What is 20/8*-7*((-36)/45)/1? 14 (204/119)/(2/(-14))*-1 12 (-70)/5*6/63*9/42 -2/7 Calculate (-8*7/(-420))/((-62)/93). -1/5 13/((-1027)/711)*((-2)/2)/1 9 Calculate ((-3197)/417)/((-5*5/(-75))/1). -23 Calculate (5/(-75))/(3*(-19)/16245). 19 Calculate 23/(1656/486)*8/6. 9 ((-2340)/(-3744))/((-110)/(-8)) 1/22 Calculate 7/((-140)/32)*-8*55/44. 16 What is the value of 2/((-100)/(-75))*-6? -9 What is the value of (((-4)/120)/(4/(-204)))/(13/65)? 17/2 Calculate ((-24)/450)/((-10)/((-850)/17)). -4/15 Calculate 3164/32544*6/14. 1/24 Evaluate 976/(-305)*2/(-4)*15/18. 4/3 ((-9)/(189/14))/(-22*(-2)/(-12)) 2/11 5/(30/(-18))*-2*(-3)/102 -3/17 Evaluate ((-4)/11)/(1096/30140). -10 (-42)/(-15)*(-3)/((-30)/25) 7 What is (741/(-38)*2)/3? -13 What is the value of (363/(-198))/(9/(-54))? 11 What is the value of (35/70)/((-3)/(-18))? 3 -6*((-4)/24)/((-280)/(-60)) 3/14 What is the value of -1*3/(-22)*(-66)/(-99)*1? 1/11 What is the value of 185/148*((-4)/(-30))/(-2)? -1/12 What is (1/(-3))/(-1)*(-1035)/23? -15 What is (3/46)/((-47)/141*27/4)? -2/69 Calculate 1*(-1)/(-2)*1330/3059*138. 30 What is the value of ((-250)/(-600))/(9*(-5)/(-8))? 2/27 What is (-7)/(-21)*(-522)/(-12)*-2? -29 What is the value of (-1)/((-18)/(-1))*213/(-142)*4? 1/3 (-6522)/7609*(-21)/60*-2 -3/5 Calculate ((-252)/(-168))/((-1)/(44/6)). -11 (10/(-10))/(36/108) -3 What is the value of ((-120)/125)/((-678)/(-1130))? -8/5 What is the value of (-1)/((-2)/276*174/(-29))? -23 What is (-2)/2*(-206)/(-1133)? -2/11 What is 1156/(-3757)*(-39)/16? 3/4 What is (-8)/(320/(-100))*1*6? 15 What is the value of ((-1)/7)/((-1625)/3250)? 2/7 What is the value of (-2)/6*19*3/19? -1 (-16)/(-640)*16*-5 -2 What is (-47)/141*(-1)/(-1)? -1/3 What is the value of (0/(-1*(-14)/(-7)))/2? 0 What is 2*-1*1*3540/590? -12 Evaluate ((-36)/180)/(9/(-405)). 9 Evaluate (-4)/54*3/36*72. -4/9 What is (-24)/20*100/12? -10 What is ((-37)/(2035/(-44)))/(352/(-240))? -6/11 72/40*(-300)/(-48)*4/3 15 Evaluate (-33)/2*94/141. -11 Calculate ((-18)/(-50))/((-378)/(-90))*-25. -15/7 What is ((1053/459)/(-13))/1? -3/17 What is 51/(-34)*8/256*8*24? -9 What is (6/8)/(-1*(-9)/12)? 1 Evaluate -9*(-27)/1215*(-3)/(-36)*-5. -1/12 What is ((9/(-6))/3)/(13/26)? -1 What is the value of (-3)/((-91)/((-78)/(-6)))? 3/7 ((-2277)/(-828))/(3/(-16))*6/(-4) 22 (9/(-63))/((-527)/217) 1/17 What is the value of 2870/(-4100)*12/(-14)*-4? -12/5 Evaluate (1/1*4)/(764/(-2292)). -12 What is the value of ((-2)/((-56)/133))/((5/5)/4)? 19 What is the value of ((-9)/(-36)*12)/(-3)? -1 ((-4)/(-2))/(-6)*-81*(-134)/(-201) 18 Calculate ((-4)/(-48))/(3/(315/(-5))). -7/4 What is 4/14*(-23)/((-12282)/623)? 1/3 What is the value of (1206/(-83214))/(2/12)? -2/23 Calculate ((-4)/(-10))/((4/(-60))/((-23)/414)). 1/3 What is ((-144)/(-72)*11/(-2))/(-1)? 11 What is the value of 15/(-5)*(-336)/(-2520)? -2/5 What is ((1908/(-48))/53)/((-3)/2)? 1/2 What is (-112)/126*(-765)/(-34)? -20 Evaluate (-120)/300*(-5)/(-18). -1/9 Calculate (5/30*-3)/(16*19/1520). -5/2 Evaluate (((-585)/(-20))/9)/(1/(-4)). -13 What is 10/36*(-7)/(-2)*(-132)/154? -5/6 What is the value of (1/(-5)*(-1184)/74)/((-16)/40)? -8 (6/(-5))/(588/1470) -3 What is the value of (2/(-5))/(4*45/(-500))? 10/9 Calculate -3*(8/30)/((-8)/5*-1). -1/2 What is the value of 12/168*6*(-406)/(-957)? 2/11 Evaluate (7/(-56)*-4*-1)/(15/10). -1/3 (((-2)/8)/(7/(-16)))/(38/399) 6 What is (-375)/(-5)*((-34)/102)/((-2)/(-2))? -25 Evaluate 3225/(-2580)*(-1)/(5/(-6)). -3/2 Calculate (-4)/(9/288*8*6/3). -8 What is the value of (83/(-166))/(-4*8/(-12))? -3/16 (-10)/6*(-23)/(9660/72) 2/7 ((-1)/(5*4/20))/11 -1/11 (9/21)/((-64)/224) -3/2 Evaluate (8/30*(-9246)/536)/(1/5). -23 What is ((-76)/(-266))/((-40)/910)? -13/2 Calculate (3*(-35)/(-600))/(122/976). 7/5 Calculate -8*(-14)/(-20)*(-13)/(-26). -14/5 What is the value of 504/(-45)*(-480)/336? 16 Calculate (75/(-100))/((-120)/(-128)*6/9). -6/5 What is the value of 70/(-7)*(-2)/2*(-2)/(-4)? 5 (-7)/((-7)/((-42)/2)) -21 Calculate (2/(-6))/((-9)/(-4)*68/2754). -6 Evaluate 2/((-2)/(-36)*-6*10). -3/5 Calculate ((-6)/(-22))/(354/236). 2/11 What is ((-2)/(-5)*-2)/((-1)/10)? 8 Evaluate (78/2275*-5)/(6/(-14)). 2/5 Calculate ((-9)/3)/1*10/(-6). 5 What is the value of ((-12)/(-10))/(3*(-2)/(-50))? 10 Calculate -1*(-5)/510*3*768/(-96). -4/17 What is 30/(-75)*-3*75/((-18)/(-6))? 30 What is 24/7*4844/1038? 16 Calculate (((-15)/(-2))/(1/2))/(297/99). 5 (13/(-1287)*-18)/(3/99) 6 Calculate ((-2)/6*(-162)/12)/((-15)/40). -12 Calculate ((-120)/30)/((-12)/(-75)). -25 What is the value of (120/420)/((-9)/126*130)? -2/65 Calculate (4/(-140))/(14/(-245)*5). 1/10 Evaluate (6/21*42/9)/(70/30). 4/7 Calculate ((-105)/40)/(243/216). -7/3 Evaluate ((-18)/28)/((3780/(-98))/45). 3/4 What is 19/((-11286)/24)*3/2? -2/33 (-2*2/(-12))/(((-19305)/78)/45) -2/33 (((-9)/(-3))/(-1))/((-189)/315) 5 Calculate ((-165)/75)/((-19)/(-95)). -11 Evaluate 12/12*486/27. 18 Evaluate (-4*(-8)/(-48))/((-588)/189). 3/14 (9/(-3))/((-126)/273*2/4) 13 What is 525/2*(-3498)/(-26235)? 35 Evaluate (-6)/(-420)*-14*-50. 10 Calculate ((-25)/(-10)*-1)/((-39)/(-78)). -5 Calculate (18/(-5))/((594/(-60))/33). 12 Calculate (-2610)/145*3/2*2/(-6). 9 Calculate (((-204)/(-85))/4)/(1/((-5)/(-1))). 3 (67/(16080/1728))/((-1)/(1/2)) -18/5 Calculate ((-4)/30*-4)/((-112)/(-280)). 4/3 Evaluate (-28)/(-30)*-38*
{ "pile_set_name": "DM Mathematics" }
**3 - 4*m**2 + 5*m - 3. Let y be r(-5). Let g be y/(4/(80/(-12))). Which is the closest to 0.1? (a) l (b) g (c) 3 a Let p = -0.46 - -0.06. Suppose -14 + 6 = 4*z. Let q = -0.3 + 1.3. Which is the nearest to 2/5? (a) z (b) p (c) q c Let u = -0.2 - -0.1. Let x = 2.4 - 2.3. Which is the closest to u? (a) 2 (b) x (c) -4/3 b Suppose -3*d - d = 8. Let z = 0.09 + 6.81. Let j = -7 + z. What is the nearest to j in d, 4, 0.3? 0.3 Let n = 201 - 113. Let d = n - 349/4. Which is the nearest to -0.1? (a) 2 (b) -4 (c) d c Let x = 5/3 - 4/3. Let j = 1.3 + -0.3. What is the closest to 0.1 in x, j, -0.4? x Suppose 1 = o - 2*o. What is the closest to o in 0.2, 4, -5? 0.2 Let m = -144 - -722/5. Let r = 9 + -5. Let i = r - 2. Which is the nearest to 1? (a) i (b) m (c) -0.2 b Let c = 4 - 3.6. Let p be (-3)/(-12)*40/35. What is the closest to -1 in c, p, 1? p Let w be 32/39 + (-24)/156. Which is the closest to 0.1? (a) -1 (b) 0.1 (c) w b Let i = 20 + -19.9. Which is the closest to 1/3? (a) -2/7 (b) i (c) 5 b Let t = -11 - -7. Let w = t + 3.5. What is the closest to 7/3 in -2, 1/5, w? 1/5 Let s = 5.3 - 5. Suppose 3*d + 7 = -2*c + 2, 4*d + 9 = -5*c. Let a be c + (2 + -3)/(-3). What is the closest to a in s, -4, -0.3? -0.3 Let w be -1*(-4 + 2) + -1. What is the closest to w in 0, -1/3, 2/9? 2/9 Let j = -100/3 - -33. Let g = -4.09 - -0.09. Which is the closest to j? (a) g (b) -0.3 (c) 1/4 b Let b = 126 - 114. What is the nearest to b in -2, 3, 0? 3 Let d = 96 + -670/7. Let m = -0.15 + 1.15. Which is the nearest to d? (a) 3 (b) -1/5 (c) m b Let k be ((-2)/(-2))/((-3)/1). Let l = 240 - 239.9. Which is the closest to l? (a) k (b) -1 (c) -3 a Let r be (3 - 4) + (-1 - 0). Let u be -2*(-1 - r/3). Suppose -3*w - 2*w = -10. Which is the nearest to -1? (a) -2/11 (b) u (c) w a Let b = 8 - 4. What is the closest to -2 in b, -1, 0.1? -1 Let c = 33/140 - -1/70. Let h = 1.01 - 0.01. What is the nearest to h in -3, c, 2? c Let t = -2 - 1. Suppose -52*s + 59*s = 0. Which is the nearest to t? (a) 0.2 (b) s (c) -2 c Let h = 10 - 7. Let s = -410/7 + 58. Which is the closest to 0.1? (a) s (b) h (c) -7 a Suppose -g - 3*g + 12 = 0. Suppose s + g*s = 8. Suppose 5*t - s = 23. Which is the nearest to -2? (a) 4 (b) t (c) -0.2 c Let p = -132 + 130.9. Which is the closest to 0.1? (a) 4 (b) 1 (c) p b Suppose -2*d + 8 = 5*q, -2*q = 2*q - 5*d - 13. Let z be 1/1*(0 - q). Suppose 0*t + 3*t = 0. Which is the closest to z? (a) t (b) 1/8 (c) 1/10 a Let h = -3.06 - -0.06. Let g = h - -2. Let t = g - -6. What is the closest to 1 in 4, t, -0.4? -0.4 Let s(y) = -5*y**2 + 2*y - 1. Let v be s(1). Let x = -2 + 1.5. Which is the closest to 2/7? (a) 1 (b) x (c) v a Let v be 46/11 + (2 - 96/44). Which is the nearest to -0.2? (a) v (b) -0.1 (c) -5 b Let r = 27 + -27.2. Which is the nearest to 2/3? (a) r (b) -0.4 (c) 1 c Let w = 2 + -3. Let o = 1.2 + -1.5. Which is the closest to 1/3? (a) 2/3 (b) w (c) o a Let g = 9.6 + -10. What is the nearest to -2/5 in 0.1, g, -3? g Let a = 12 + -12. What is the nearest to a in 3, -0.3, -5? -0.3 Let y be (21/(-6) - -3)/(-4). Let v = -2.5 + -0.5. Let t = v - -4. What is the nearest to 0.1 in y, 3, t? y Let g = 0.1 + -1.1. Which is the nearest to 2/5? (a) g (b) 4 (c) -3 a Let v = -22 + 25. Suppose 2*k = v*k - 1. Which is the closest to 2/7? (a) k (b) 2/15 (c) 0.5 b Let y = 0.1 + 0.2. Let x = 0.047 + -0.047. Which is the closest to 2/7? (a) y (b) x (c) -0.3 a Suppose -2*g - 2*g - 8 = 0. Let l be (1/(-1))/(g/(-10)). Let d = 3 - 7. Which is the nearest to -1/2? (a) d (b) l (c) 0 c Let x = 0 - 2. Let m = -7/3 - x. Which is the nearest to m? (a) 2/17 (b) -2/7 (c) -0.4 b Let l = -493/5 - -98. Let m = 0.3 + 1.7. Let j = -1 + m. Which is the closest to j? (a) l (b) 0.3 (c) 0.2 b Let r = -0.5 - -0.3. Let g = 0.3 - r. Let o = -4.04 - 0.96. What is the nearest to 1 in 2/5, o, g? g Let r be 13/(-26)*(-8 + -2). What is the nearest to 2/7 in r, -1/4, -1/3? -1/4 Let b = 34 + -43. What is the nearest to 1 in 2, b, -2? 2 Let o = 28 - 26. Let g = 0 - 2. Let t be 1 + 1*(-9)/21. What is the nearest to 1 in g, t, o? t Let k = 0.16 - 0.26. Which is the nearest to k? (a) 2/17 (b) 1/9 (c) 3/5 b Let w = 0 + -1. Let u = -8 - -7.7. Which is the nearest to -1? (a) w (b) u (c) 3/7 a Let z = 5.1 + -0.1. Let t = -184.97 + 186. Let m = t + -0.03. Which is the closest to 2/5? (a) 0.3 (b) m (c) z a Let y = -115.2 - -115. What is the closest to 5 in 6/5, y, -4? 6/5 Let f be 1/((-26)/2)*2. Let u = -6 + 2. What is the nearest to 1 in f, u, 3? f Suppose 10*q + 6 = 4*q. Let w = 0 - 0. Which is the nearest to w? (a) -3 (b) -1/6 (c) q b Let v = -15 + 12.2. Let p = v - -3. Which is the closest to -2/7? (a) p (b) 3/7 (c) 2/5 a Let w = -0.42 - -0.22. Which is the closest to 1/5? (a) -4 (b) w (c) 0.5 c Let k = 1.1 - 0.1. Let u = 1 + k. Let x = -8 - -7.8. Which is the nearest to 1? (a) x (b) u (c) -4 b Let z = -8 - -13. Suppose 2*u = 5*l - 26, l + l - z*u - 23 = 0. What is the closest to 0.2 in l, -0.4, 2/5? 2/5 Let w = 34 + -38. Which is the closest to 1/2? (a) w (b) 1 (c) -2/11 b Let i = -644 - -7723/12. Let w = 1/12 + i. Let m = 0.1 + -0.2. What is the nearest to m in w, 5, 1? w Suppose -12 = 3*t - 0*t. Let g be (1*t/20)/1. Let r = -0.7 - -0.2. Which is the nearest to -0.1? (a) r (b) 1 (c) g c Let m(z) = z**2 + 5*z + 2. Let t be m(-3). Let q = 4 + t. Let w be (-2)/(-4) + 12/(-40). Which is the closest to -1? (a) w (b) 4 (c) q c Let v = 0.02 - -0.38. Let i = 35 + -33. Which is the nearest to i? (a) v (b) -1/2 (c) -1 a Let k = -164 - -166. Which is the nearest to 1? (a) k (b) 1/3 (c) 3 b Let y = 2 + -4. Let d = 0.9 + -0.6. Which is the nearest to -1? (a) y (b) 0.5 (c) d a Let m = -15 + 15.5. Let v = m + -1.5. Which is the nearest to v? (a) 0.4 (b) 0.2 (c) 1 b Let o = -13 - -18. Let n = -0.2 - -0.2. Which is the closest to n? (a) o (b) -3 (c) 1 c Let i = 4.9 + -5.2. What is the closest to -0.1 in 7, 0.5, i? i Let p be ((-78)/176)/((-33)/(-22)). Let s = 1/22 + p. What is the closest to s in 0, 4/7, 4? 0 Let s = 3 - 2. Let i = 267 - 270. What is the closest to 2 in s, 0.1, i? s Let h = 6 + -6.06. Let w = h - -0.06. Which is the closest to 1/3? (a) -4 (b) 0.3 (c) w b Let z = -41 + -7. Let o be 3/(z/(-28)) - 2. What is the closest to o in 5, -1/2, -1? -1/2 Let i(d) = d**2 + 5*d + 7. Let o be i(-2). Let k(r) = -r**2 - r + 1. Let l be k(-2). Which is the nearest to 1/4? (a) o (b) l (c) -0.3 c Let y = 1.05 - 6.05. Let g be ((-1 + 4)/3)/(-4). Which is the closest to 2/5? (a) y (b) g (c) -0.3 b Let n(w) = -5*w - 27. Let c be n(-6). What is the nearest to 0.1 in c, -0.2, -3/2? -0.2 Let f = 0.1 + -0.2. Let s = 0.0152 - -2.9748. Let d = 0.01 + s. Which is the nearest to f? (a) -3/2 (b) d (c) -1/7 c Suppose m = -2*m - 3. Let f be (-2 + m)*10/(-6). Which is the closest to -1? (a) -4/7 (b) 2/9 (c) f a Let p = -53/21 - -13/7. Suppose 2*t + 1 = -5, -t = -5*v + 13. What is the closest to 1 in v, p, -2/9? v Let c = 111.7 - 120. Let p = -8 - c. Let d = 0.9 + -1.4. What is the nearest to 0.1 in p, d, -1? p Let j = 0 + -12. Let s be ((-135)/j)/(-5) - -3. What is the nearest to s in 2/11, 1/3, 3? 1/3 Let r = 66 - 334/5. Let y be 2/6 + 4/6. Which is the nearest to y? (a) -1/3 (b) 2/11 (c) r b Let j be 49/14 + (-4)/1. What is the closest to -1/2 in 5/6, 0, j? j Suppose -4*u + 10 - 2 = 0. Suppose -3*s - 16 = -u*s - 2*y, 4*s + 34 = 2*y. Let i be (6/(-4))/((-36)/s). Which is the closest to 0.3? (a) i (b) 2/7 (c) -2 b Let u = -8 + 7.85. Let w = u - 0.85. What is the nearest to w in -3, -0.2, 3/4? -0.2 Let o = 0.02 + -0.12. Let t = -2.1 - -2. Which is the nearest to o? (a) 0.5 (b) -0.5 (c) t c Let m = -0.046 - -0.246. What is the nearest to m in -8, -3, 1? 1 Let j = -17/63 - -1/21. Which is the closest to 2/9? (a) 1/3 (b) 0.2 (c) j b Let u = 0.09 + -4.09. Let p = -4.2 - u. Let l = -1/3 + 5/6. What is the closest to p in 4, 0, l? 0 Let x = 0.059 - 3.059. What is the closest to 1 in 4, -1/4, x? -1/4 Suppose 6*o = 2*o + 5*p + 72, 2*o - 4*p - 36 = 0. Let x be -1 + -1 + 40/o. What is the nearest to -1 in 5, x, 0? 0 Let k(j) = -j**2 + 4. Let u be k(0). Suppose l = 3*l + 3*z + 2, -2*l - u*z = 0. What is the close
{ "pile_set_name": "DM Mathematics" }
ctor i(t). 3*t**2*(t + 1)*(t + 15)/2 Let l be (-4 + 25/4)/((-2)/(-4)). Factor 3/2*n**2 + l*n + 0. 3*n*(n + 3)/2 Suppose -510 = 39*a + 12*a. Let k be a*(-7 - 140/(-21)). What is q in 2/3*q**3 - k*q**2 + 14/3*q - 2 = 0? 1, 3 Let h(j) be the first derivative of -j**5/110 + j**3/33 - 137*j - 62. Let p(q) be the first derivative of h(q). Factor p(k). -2*k*(k - 1)*(k + 1)/11 Let t be (-79664)/(-10725) - (-54)/2025. What is b in -12/11*b**2 - 200/11*b - 8/11*b**5 - 48/11 + 6/11*b**4 + t*b**3 = 0? -2, -1/4, 2, 3 Suppose -3*s + b + 256 = 3*b, -s = 4*b - 92. Suppose s*r + 52 + 614 + 3*r**2 - 78 = 0. Calculate r. -14 Suppose -2892*u = -2753*u - 278. Factor 0*k + 1/4*k**3 + 0 - 1/4*k**u. k**2*(k - 1)/4 Let r be 120/(-75)*(9/(-4) + (-3)/(-3)). Let u(n) be the second derivative of -3 - 1/3*n**3 + 5*n + 1/6*n**4 - 6*n**r. Factor u(m). 2*(m - 3)*(m + 2) Let r(f) be the third derivative of f**5/20 - 3*f**4/4 - 36*f**3 + 643*f**2. Determine n so that r(n) = 0. -6, 12 Let f(u) = 222*u**2 - 911*u - 10. Let b(w) = 885*w**2 - 3645*w - 39. Let a(k) = -2*b(k) + 9*f(k). Factor a(c). 3*(c - 4)*(76*c + 1) Let m = 33 - 20. Suppose -4 + 199 = m*g. Factor -5*h**4 - 25*h**3 - g*h + h**2 - 41*h**2 + 5*h**2. -5*h*(h + 1)**2*(h + 3) Let k(n) = -100*n**2 - 3690*n - 32895. Let h(b) = 11*b**2 + 410*b + 3654. Let l(j) = 55*h(j) + 6*k(j). Factor l(i). 5*(i + 10)*(i + 72) Let u(i) be the first derivative of 285*i - 4 + 64 - i**4 - 24*i**2 + 8*i**3 - 253*i. Factor u(j). -4*(j - 2)**3 Determine o, given that -8*o**4 + 108*o**2 - 288/5*o + 2/5*o**5 + 0 - 214/5*o**3 = 0. -6, 0, 1, 24 Let b(m) = 3*m**3 - 2*m + 1. Let i be b(1). Suppose 423*x + 46 = 446*x. What is v in -i*v**x + 22*v**2 - 5*v**3 + 5 - 25*v + 5 = 0? 1, 2 Solve -250 + 510*r**2 + 83*r**4 - 745*r + 740*r**3 + 37*r**4 + 5*r**5 - 8 - 351 - 21 = 0 for r. -14, -9, -1, 1 Factor 2/11*j**5 + 2*j**3 + 0 + 0*j + 34/11*j**4 - 110*j**2. 2*j**2*(j - 5)*(j + 11)**2/11 Let m(u) be the first derivative of -u**4/42 - 11*u**3/21 - 10*u**2/7 + 12*u - 118. Let s(b) be the first derivative of m(b). Suppose s(y) = 0. What is y? -10, -1 Let h be ((-4)/14)/((-5145)/19208). Let b(c) be the first derivative of 8/5*c - 1 + 2*c**2 + 1/5*c**4 + h*c**3. Find o such that b(o) = 0. -2, -1 Let i be 0 - 5/(-2) - 641207/256872. Let c(a) be the third derivative of 0 - i*a**4 - 1/660*a**5 + 0*a - 28*a**2 + 0*a**3. Factor c(h). -h*(h + 1)/11 Let l(f) = -3*f**2 + 4. Let d(i) = 40*i**2 + 488*i + 435. Let o(p) = -d(p) - 13*l(p). Factor o(c). -(c + 1)*(c + 487) Let w = 189 + -150. Solve w*y + 56 - 3*y + 11*y**2 - 7*y**2 = 0. -7, -2 Let j be (-5 + 612 + -3)*(-6)/4. Let b be (-755)/j - 2/(-4). Find v such that -2*v**4 + b*v + 0 + 2*v**2 - 2/3*v**3 - 2/3*v**5 = 0. -2, -1, 0, 1 Let f(v) be the second derivative of -16*v**7/147 - 2*v**6/105 + 387*v**5/140 - 116*v**4/21 - 50*v**3/21 + 24*v**2/7 - 2158*v. What is i in f(i) = 0? -4, -3/8, 1/4, 2 Let h(s) = s**3 + 12*s**2 - 1961*s - 15941. Let d be h(-8). Solve 0 - d*g**3 - 4*g - 1/2*g**4 - 6*g**2 = 0 for g. -2, 0 Let a(c) be the second derivative of 8*c + 1/12*c**2 - 1/72*c**4 + 0*c**3 - 10. Solve a(h) = 0 for h. -1, 1 Let f(a) be the third derivative of -a**5/210 - 15*a**4/14 - 24*a**3 + 29*a**2 + 14*a. Factor f(s). -2*(s + 6)*(s + 84)/7 Let j(t) be the second derivative of -t**5/4 + 85*t**4/6 + 115*t**3/6 - 15870*t**2 - 2487*t. What is g in j(g) = 0? -12, 23 Let o(p) = p**3 - 47*p**2 + 6*p + 18. Let v be o(47). Let s be (1 - 308/v)*40*-3. Find y such that 8/5*y**3 + s*y + 6/5 - 6*y**2 = 0. -1/4, 1, 3 Let v(s) = 872*s - 111613. Let d be v(128). Factor 96/17*a**2 - 148/17*a**d + 6/17*a**4 + 0 + 0*a. 2*a**2*(a - 24)*(3*a - 2)/17 Let b = -637231 + 1912213/3. What is f in 16 - 594*f**3 + 588*f**2 - b*f = 0? 2/9, 6/11 Determine s, given that -180*s + 44*s**2 - 94*s - 49 - 39 - 164*s - 38*s = 0. -2/11, 11 Let j be (-160)/6*(-90)/(-40). Let u be (-9)/(-12)*-10*16/j. Let 12/5 + 108/5*q + 243/5*q**u = 0. What is q? -2/9 Suppose 155*n - 13 = 150*n + 2. Suppose 0*j - 1/4*j**5 + 0 + 0*j**4 + 3/4*j**n + 1/2*j**2 = 0. What is j? -1, 0, 2 Let f(q) be the second derivative of -q**4/18 + 424*q**3/3 - 1271*q**2/3 + 13687*q. Suppose f(l) = 0. What is l? 1, 1271 Let c = 85020704 - 339827752168/3997. Let j = c - 1/571. Factor 6/7*i**3 - j*i**4 - 3/7*i**2 + 0*i + 0. -3*i**2*(i - 1)**2/7 Let k(v) be the first derivative of -24*v**5/5 + 23*v**4 + 308*v**3/3 + 16*v**2 - 48*v - 2562. Let k(u) = 0. Calculate u. -2, -1/2, 1/3, 6 Let w(a) be the third derivative of a**5/450 + 17*a**4/30 + 752*a**3/45 - 13107*a**2. Factor w(i). 2*(i + 8)*(i + 94)/15 Suppose -150*t = 293*t + 212*t - 1052 - 258. Factor -45 - 1/2*g**3 - 69/2*g - 8*g**t. -(g + 3)**2*(g + 10)/2 Factor 173*q**2 + 1807*q - 5549*q - 2366*q - 9908*q - 177*q**2 - 16032016. -4*(q + 2002)**2 Let r(q) = -q + 50. Let g be r(47). Let u be (735/(-28))/(-15) - (-1)/4. Factor 5/3*x**u + 10/3*x + 0 - 5/3*x**4 - 10/3*x**g. -5*x*(x - 1)*(x + 1)*(x + 2)/3 Let v(q) = -10*q**3 + 13*q**2 - 40*q + 26. Let c(w) = w**3 + w**2 - w. Let p(r) = 22*c(r) + 2*v(r). Factor p(b). 2*(b - 1)**2*(b + 26) Suppose 15*k + 18628 = -932. Let q = 1308 + k. Determine p, given that -25/6*p**3 + 5/2*p**q - 55/6*p**2 - 5/2*p + 0 = 0. -1, -1/3, 0, 3 Let j = 310953/74 + -103827983/24753. Let z = -4/669 + j. Factor 9/2 + 15/2*w**3 - z*w - 9/2*w**2. 3*(w - 1)*(w + 1)*(5*w - 3)/2 Let y(n) be the first derivative of 1/40*n**5 + 1/16*n**4 - 1/2*n - 90 - 1/2*n**2 - 1/8*n**3. Suppose y(u) = 0. What is u? -2, -1, 2 Let f(q) be the first derivative of -2*q**5 - 263*q**4/8 + 563*q**3/6 + 29*q**2 - 30*q - 2253. Suppose f(t) = 0. Calculate t. -15, -2/5, 1/4, 2 Let d be (-56)/(-35)*(-1)/(-5)*275/44. Find t such that 1/2*t**3 - 14 + d*t**2 - 25/2*t = 0. -7, -1, 4 Let k(l) be the first derivative of 10*l**5/9 + 55*l**4/9 + 82*l**3/27 + 4*l**2/9 + 2476. Suppose k(a) = 0. Calculate a. -4, -1/5, 0 Suppose 26 = 5*f + 4*y - 0, 3*f - 5*y = -14. What is r in -22*r - 18*r**3 + f*r**4 - 42*r**2 + 53492 - 53492 = 0? -1, 0, 11 Let k(f) = 16*f**4 + 46*f**3 + 252*f**2 + 70*f + 8. Let s(z) = 3*z**4 + 3*z**2 + 2*z + 1. Let q(v) = -k(v) + 8*s(v). Factor q(n). 2*n*(n - 9)*(n + 3)*(4*n + 1) Let i = -775 + 780. Let k be (6 - i/(-2)) + -8. Suppose 0 + k*v + 1/4*v**2 = 0. What is v? -2, 0 Let s(b) be the second derivative of -b**5/80 - b**4/48 + b**3/4 + 2*b - 92. Factor s(g). -g*(g - 2)*(g + 3)/4 Let 15*w + 1/2*w**5 - 11/2*w**4 - 61/2*w**2 + 41/2*w**3 + 0 = 0. What is w? 0, 1, 2, 3, 5 Let a(r) = -2*r**3 - 282*r**2 + 20187*r - 93851. Let z(p) = -3*p**3 - 563*p**2 + 40358*p - 187700. Let q(j) = -5*a(j) + 3*z(j). Solve q(s) = 0. 5, 137 Let y(i) be the third derivative of 0*i**3 - 1/90*i**5 + 0*i + 0 - 1/10*i**6 + 1/35*i**7 + 23*i**2 + 1/18*i**4. Solve y(t) = 0 for t. -1/3, 0, 1/3, 2 Factor 20*d**5 - 12*d**5 - 7*d**5 - 187*d**4 - 1250*d + 573*d**3 - 725*d**2 + 236*d**4. d*(d - 2)*(d + 1)*(d + 25)**2 Let 0 + 156*l - 3/5*l**2 = 0. What is l? 0, 260 Let k(p) be the third derivative of -207*p**2 + 0*p + 0 - 1/600*p**6 + 0*p**3 + 1/300*p**5 + 1/10*p**4. Factor k(s). -s*(s - 4)*(s + 3)/5 Let g = 327 - 320. Solve -12*u**2 + 3*u**2 - 56 - 12*u**3 - 6*u - g*u**2 + 16*u**3 - 70*u = 0. -2, -1, 7 Let a(s) = 35*s**3 + 945*s**2 - 9361*s - 11. Let p(n) = 22*n**3 + 630*n**2 - 6239*n - 7. Let c(z) = -7*a(z) + 11*p(z). Factor c(m). -3*m*(m - 94)*(m - 11) Let i(b) be the first derivative of -88 - 37/12*b**3 - 1/8*b**4 + 0*b - 9/4*b**2. Factor i(n). -n*(n + 18)*(2*n + 1)/4 Determine y, given that 1440 + 4/9*y**3 - 16*y - 104/9*y**2 = 0. -10, 18 Let u = 65106/13 - 568586/117. Let 560/9*q**5 + 158/9*q**2 - u*q**4 - 76/9*q + 8/9 + 371/9*q**3 = 0. What is q? -2/5, 1/4, 2/7, 2 Let w be (-6324)/(-360) - 286/(-110). Factor -w*v**2 - 6 - 22*v. -(11*v + 6)**2/6 Let h(s) be the second derivative of s**6/225 - 137*s**5/15 + 473317*s**4/90 - 186868*s**3/3 + 1395372*s**2/5 + 10947*s. Factor h(m). 2*(m - 682)**2*(m - 3)**2/15 Let w(g) be the second derivative of g**6/10 - 7*g**5/20 + g**4/3 - 220*g + 4. Factor w(y). y**2*(y - 1)*(3*y - 4) Let p(m) be the third derivative of -m**7/42 + m**6/8 + m**5/12 - 5*m**4/8 + 635*m**2 + 1. What is n in p(n) = 0? -1, 0, 1, 3 Let j = 3373/751920 + -1/3133. Let x(k) be the third derivative of 0*k - 1/200*k**5 + 17*k**2 + 0*k**3 - j*k**4 + 0. Factor x(u). -u*(3*u + 1)
{ "pile_set_name": "DM Mathematics" }
pect to l. 6*l Let v be (20 + 0)*(-2)/(-4). Suppose -2*n + m = -v, -3*n + m = -0 - 13. Find the third derivative of -n*y**6 + 3*y**6 - 2*y**6 + y**2 wrt y. -240*y**3 Let u(p) = -p + 3. Let l be u(3). Suppose 5*a - 29 = -2*z, 0*a - a + 5 = l. What is the third derivative of -4*r**2 + 2*r**2 - 2*r**5 + r**z - r**2 wrt r? -120*r**2 What is the third derivative of -37*a**2 + 3*a**3 + a**3 + 10*a**3 wrt a? 84 Suppose -5*y - 10 = 0, 0 = 5*i - 2*i - 5*y - 25. Suppose i*q - 20 = 5*h, 3*q = 5*q + h - 2. Find the third derivative of -6*s**q + s**2 + 3*s**2 - 2*s**6 wrt s. -240*s**3 Let z(y) be the first derivative of 7*y**4/2 - 14*y**3 - 71. Find the third derivative of z(g) wrt g. 84 Let r(b) be the third derivative of 13*b**4/24 - 4*b**3/3 - 7*b**2. Find the first derivative of r(k) wrt k. 13 Find the third derivative of 4*k**2 + 16*k**4 - 49*k**4 - 8*k**5 - 3*k - 4*k + 6*k**5 wrt k. -120*k**2 - 792*k Let c(o) be the first derivative of 5*o**4/2 - 4*o + 2. Differentiate c(s) wrt s. 30*s**2 Let n(z) be the second derivative of 0*z**6 + 1/56*z**8 + 0*z**5 + 0*z**3 + 0*z**2 - 4*z + 0 + 1/2*z**4 + 0*z**7. Find the third derivative of n(b) wrt b. 120*b**3 Let h(p) = 41*p**4 + 6*p**3 - 6*p**2 + 3*p - 6. Let q(r) = -r**3 + r**2 - r + 1. Let b(a) = h(a) + 6*q(a). What is the second derivative of b(u) wrt u? 492*u**2 Let q = 22 - 10. What is the derivative of 5*o**3 - 5 + 3*o**3 - q*o**3 wrt o? -12*o**2 Suppose -5*q + 2 = -18. Suppose 2*j = 5*c - 25, -5*c + 9 = 5*j - 51. Find the third derivative of -2*s + s**2 - 6*s**4 + 2*s + c*s**q wrt s. 24*s Let w(r) be the second derivative of 0*r**2 - 1/4*r**4 + 0 - 4/3*r**3 + 7*r. What is the second derivative of w(d) wrt d? -6 Let h = 6 + -10. Let b = h + 8. Find the third derivative of -v**b + v - v - 2*v**2 wrt v. -24*v Let x(o) = 8*o**4 - 4*o**3 - 9*o + 4. Let y(t) = 8*t**4 - 5*t**3 - 8*t + 5. Let w(u) = -5*x(u) + 4*y(u). Find the second derivative of w(c) wrt c. -96*c**2 Suppose 3*v = -15, 0*v = 5*p + 2*v. Let g = -71 - -73. What is the third derivative of -g*j**2 - p*j**2 + 0*j**3 + j**3 wrt j? 6 Find the first derivative of -4 + 3 + 6*a**4 + 15 wrt a. 24*a**3 Let n(t) be the third derivative of -t**7/840 - t**5/120 + t**4/24 - 2*t**2. Let y(i) be the second derivative of n(i). Differentiate y(o) with respect to o. -6*o Let h(a) be the second derivative of -a**11/18480 + a**7/630 - a**4/4 + a. Let y(x) be the third derivative of h(x). What is the third derivative of y(g) wrt g? -360*g**3 Suppose 3*b - 1 = 8. Suppose -3*u + 26 = 4*p, -b = u + 2*p - 15. Differentiate -u*z + 3 + 3*z + 2*z - z with respect to z. 2 Let v = -27 - -30. What is the derivative of -7*o**v + o**3 + 7*o**3 + 8 wrt o? 3*o**2 Suppose 0 = 2*x + 3*w - 15, x - 2*w + 20 = 2*w. What is the first derivative of 3*g**3 + 0*g**3 + x*g**3 + 8 - 3 wrt g? 9*g**2 Let t(u) = 2*u**2 - 4*u + 2. Let a be t(2). Let r(k) = 1 + a - 4 + 0 + 6*k. Let h(n) = 5*n. Let s(b) = 3*h(b) - 2*r(b). Differentiate s(d) wrt d. 3 Let d(n) be the third derivative of 0*n**5 - 4*n**2 + 0 + 1/4*n**4 + 0*n + 3/40*n**6 + 0*n**3. What is the second derivative of d(p) wrt p? 54*p Suppose 0 = -4*r + r - 6. Let f be (0 - (r - 0))/1. What is the derivative of -b**3 + f*b**3 - 1 + 0 wrt b? 3*b**2 Let b(m) = -3*m + 2. Let y(o) be the third derivative of o**4/8 - o**3/3 + 2*o**2. Let t(i) = 6*b(i) + 5*y(i). Differentiate t(u) with respect to u. -3 Let x(r) be the second derivative of -41*r**6/30 - 3*r**4/2 - 2*r + 25. What is the third derivative of x(w) wrt w? -984*w What is the third derivative of -7*o**2 - o**4 - 7*o**4 + o**2 wrt o? -192*o Let a = 1 + 1. Let h(w) be the first derivative of 2/3*w**3 + 0*w**2 + 2*w + a. What is the first derivative of h(l) wrt l? 4*l Let w(n) = -6*n - 3. Let p be w(-2). Let q(v) = -v**2 + 3. Let y(j) = 2*j**2 - 7. Let t(o) = p*q(o) + 4*y(o). Differentiate t(z) with respect to z. -2*z Let a(z) = -z**2 - 3*z - 2. Let t(r) = -r**3 + 4*r + 1. Let w(v) = -4*a(v) - 3*t(v). Differentiate w(q) wrt q. 9*q**2 + 8*q Suppose -5*j = -9*j + 12. Let q(c) be the first derivative of 0*c + 2/3*c**j + 3 - 3/2*c**2. Find the second derivative of q(w) wrt w. 4 Suppose 0*a + a - 3 = 0. Suppose 9 = g - a. What is the third derivative of g*v**4 + 3*v**2 - 4*v**6 - 12*v**4 wrt v? -480*v**3 Let x(o) be the first derivative of -7*o**2/2 + 36*o - 18. Differentiate x(f) with respect to f. -7 Let h = -4 - -7. Let d(o) = -o + 10. Let v be d(8). What is the third derivative of -17*l - v*l**2 - h*l**3 + 17*l wrt l? -18 Let c(n) be the third derivative of -n**9/7560 + n**5/24 - n**4/6 + n**2. Let v(y) be the second derivative of c(y). What is the derivative of v(f) wrt f? -8*f**3 Let r(u) = u + 2. Let b be r(2). Let n(i) be the second derivative of 0 + 1/6*i**3 - 2*i + 0*i**2 + 1/6*i**b. What is the second derivative of n(t) wrt t? 4 Let d(j) = -14*j - 6. Let b(g) = 0*g - 4*g + g - 2 - 2*g. Let w(a) = 8*b(a) - 3*d(a). What is the derivative of w(i) wrt i? 2 Let g be ((-28)/8)/(2/(-4)). Let s(f) = -f**2 + 6*f - 3. Let x be s(5). What is the second derivative of -3*d**5 + 7*d**4 - x*d - g*d**4 wrt d? -60*d**3 What is the second derivative of 9*l**4 + 0*l - 16*l**4 - 3*l wrt l? -84*l**2 Let j(h) = -h**3 - 3*h. Let a(k) = -k. Suppose 6*v - 6 = 5*v. Let o = v + -2. Let c(i) = o*j(i) - 10*a(i). Find the second derivative of c(n) wrt n. -24*n What is the second derivative of -7*b**3 + 31 - 31 + 4*b wrt b? -42*b Let h(s) = -s**2 + s + 3. Let j be h(0). Let n(f) = -2*f + 27. Let u be n(12). What is the second derivative of -3*a**j - 2*a + 9*a - a**u - 3*a wrt a? -24*a Let u(a) be the second derivative of 11*a**5/20 + 3*a**2/2 + 34*a. Differentiate u(d) wrt d. 33*d**2 Suppose 0 = 2*y - 12. Let h(x) be the second derivative of 0 - 1/2*x**2 + 0*x**5 + 0*x**3 + 0*x**4 - 1/30*x**y - 2*x. Find the first derivative of h(s) wrt s. -4*s**3 Let g = 3 - 2. Suppose -g = -y + 3. What is the second derivative of 2*u**y + 5*u - 4*u - 4*u + 0*u wrt u? 24*u**2 Let t = 7 + -1. Let n(p) = 2*p - 7. Let u be n(t). What is the first derivative of 6*z - 2 + 0*z - u*z wrt z? 1 Suppose 0 = o + 5*r - 7, -7 = -4*o + 3*r - 2*r. Let q(i) be the first derivative of i + 1 + 1/2*i**o. Differentiate q(n) with respect to n. 1 Let z be 1/(3/(-2) + 2). Suppose -b + 3*u = -7, -2*b = -z*u - 9 - 1. Find the second derivative of y**3 - 6*y**b - y**3 + 5*y**4 + 2*y wrt y. -12*y**2 Let h(j) be the third derivative of 3*j**6/20 + 5*j**4/24 + 14*j**2. What is the second derivative of h(k) wrt k? 108*k Let o be (-2)/6 + 21/9. Suppose 0 = -4*r + 5*q - 25, 4*r + 7 = q + o. Differentiate 3 + 0 + 2*p**2 + r wrt p. 4*p What is the third derivative of 72*p**5 + 0*p**2 - 75*p**5 - p**2 - 9*p**2 wrt p? -180*p**2 Let b(v) be the first derivative of -2*v**5 + v + 7. What is the first derivative of b(q) wrt q? -40*q**3 Let t = -3 + 5. Suppose n = t*n - 3. Find the second derivative of 3*q - q + 0*q - n*q**2 wrt q. -6 Suppose 6 - 106 = -5*f. Find the first derivative of f*d - 3 + 2 - 21*d wrt d. -1 Find the second derivative of 9*u**5 + 52*u - 132*u + 62*u wrt u. 180*u**3 Let y(c) = 3*c**3 - c**2 + 2*c - 1. Let p be y(1). Find the second derivative of 2*j - j**4 + 0*j**3 + 7*j**3 - 7*j**p wrt j. -12*j**2 Let h(p) = -15*p**3 + p**2 - 3*p - 3. Let v(w) = -90*w**3 + 5*w**2 - 17*w - 17. Let y(x) = 34*h(x) - 6*v(x). What is the third derivative of y(j) wrt j? 180 Suppose 7 - 36 = -3*p + 4*x, 5*p + 3*x = 87. What is the second derivative of -p*h**2 - 2*h - 5*h + 19*h**2 wrt h? 8 Let g(d) be the first derivative of -6*d**5/5 - 2*d**2 + 2. Find the second derivative of g(l) wrt l. -72*l**2 Let t(z) = -12*z**2 - 12*z. Let d(u) = -12*u**2 - 11*u. Let v(g) = -4*d(g) + 5*t(g). What is the second derivative of v(a) wrt a? -24 Suppose 3*o + 8 = -7. Let f(y) = -y - 1. Let g be f(o). Differentiate -g + 5 + 1 - 2*k**3 + 1 with respect to k. -6*k**2 Suppose 9 = 8*o - 31. Let z(j) be the first derivative of -3 + 0*j**3 - j**2 + 1/5*j**o + 0*j**4 + 0*j. What is the second derivative of z(t) wrt t? 12*t**2 Let v(b) be the first derivative of -2 + 7*b + 7/2*b**2. Differentiate v(z) wrt z. 7 Let m = 6 + -4. Suppose m*s - 3 - 1 = 0. Find the second derivative of -g + g**s + 2*g**2 + 3*g + g wrt g. 6 Let o(q) = 4 + q + 2 - 9*q**2 - 4 + 3. Let w(r) = -2*r**2 + 0 - 2*r**2 + 2
{ "pile_set_name": "DM Mathematics" }
ify (s**(-24)/s)**33 assuming s is positive. s**(-825) Simplify l**5/(l/l**(-8))*(l**(-2/9)*l*l)**(-48) assuming l is positive. l**(-268/3) Simplify (((g/(g**(-5/3)*g))/g)/g)**(3/38) assuming g is positive. g**(-1/38) Simplify ((u*u*u/u**(2/41)*u)/u**(2/27))**(-3/10) assuming u is positive. u**(-2146/1845) Simplify s**(-30)*s*s**(6/7)*s assuming s is positive. s**(-190/7) Simplify ((t**(-1)*t)/t)**(1/12)/((t/(t**(2/25)/t))/(t*t*t**(-1/2)*t)) assuming t is positive. t**(149/300) Simplify (h/h**0*h)/((h/(h/h**0)*h)/h)*h*h**(-4)*h*h**(-1/6) assuming h is positive. h**(-1/6) Simplify (((c/c**11)/c)/(c*c*c/(c*c**(1/4)*c)))/(c**1)**(-18/7) assuming c is positive. c**(-257/28) Simplify ((y**(-7)/y*y)/(y/(y**3/y)))/((y*(y**4/y*y)/y)/y**2) assuming y is positive. y**(-8) Simplify g/(g/(g/(g**(-4/9)*g)))*g**(2/21) assuming g is positive. g**(34/63) Simplify (w*w**19/w*w)/(w**(-2/7)*w) assuming w is positive. w**(135/7) Simplify (l**(1/3)*l)**(-38)/(l**(6/7)*l/l**(-2/37)) assuming l is positive. l**(-40853/777) Simplify i**24*(i*i**(-1/7))/i assuming i is positive. i**(167/7) Simplify (j/((j**18/j)/j*j)*j*j/(j/(j/(j*j**(-3/2)))))**(-1/18) assuming j is positive. j**(3/4) Simplify (s*s**(-2/5)*s)**10/((((s/(s/(s*s**(6/11)/s))*s)/s)/s)/s**5) assuming s is positive. s**(236/11) Simplify (m/m**(1/3))**(-35)*((m*m**(1/11)/m)/m)/(m*m/m**(-1/10)) assuming m is positive. m**(-8693/330) Simplify o*((o/o**(-15)*o)/o)/o*o/(o**(2/41)*o) assuming o is positive. o**(654/41) Simplify (x**(-3/13))**(3/8) assuming x is positive. x**(-9/104) Simplify (m**(-6)*m*m/m**0*m)/((m*m**6)/m**(-3)) assuming m is positive. m**(-13) Simplify r*r*r**5*r*r/(r/(r**(-6)/r))*(r/(r/(r**(-1/3)*r*r)))**25 assuming r is positive. r**(128/3) Simplify ((f**4)**(1/9))**47 assuming f is positive. f**(188/9) Simplify (q*q**(-22))/(q/q**(-10)) assuming q is positive. q**(-32) Simplify (x**(-2)/x*x)**(-1/12) assuming x is positive. x**(1/6) Simplify (q*((q/(q*q/(q/q**8)))/q*q)/q*q)/((q*q**(2/25))/q) assuming q is positive. q**(-177/25) Simplify ((w*w/(w*(w/w**6)/w))/(w/(w*w/w**(1/5))))/(w**(-2/25)/((w/w**7)/w)) assuming w is positive. w**(22/25) Simplify ((i**(-4/11)/i)/i)/i**(-31) assuming i is positive. i**(315/11) Simplify ((f/(f*f**(-7))*f*f)/(f**(-1/6)/f))/(f/f**(-1/5))**(-9/2) assuming f is positive. f**(467/30) Simplify ((y/y**(1/3))/y)**(3/8)/(y*y**2*y)**(-1/13) assuming y is positive. y**(19/104) Simplify (m**(6/5))**(14/3) assuming m is positive. m**(28/5) Simplify j/(j*j**(-4/3)/j)*j**(2/7)*(j**1)**(-2/23) assuming j is positive. j**(1223/483) Simplify (r**(-1)*r**(-2/27)/r)/(r**(-2))**14 assuming r is positive. r**(700/27) Simplify i/(i**12/i)*i**(4/5) assuming i is positive. i**(-46/5) Simplify ((b*b**2*b*b)/b)**(-18/11)*b**8/(b/(b*b**4)*b) assuming b is positive. b**(49/11) Simplify ((c/(c/(c/((c/(c/c**(-1/6))*c)/c))*c))/c*c**(-7))/((c*c*c**5*c*c)/c*c*c*c**(-2/7)) assuming c is positive. c**(-737/42) Simplify (p/(p*p*p*p/p**(11/4)*p))/(p*p*p**(-7)) assuming p is positive. p**(15/4) Simplify d**(2/11)/(d*d**12*d) assuming d is positive. d**(-152/11) Simplify ((h**5)**(-13))**0 assuming h is positive. 1 Simplify ((m**(2/3))**(-37))**(-9/7) assuming m is positive. m**(222/7) Simplify (w**34)**(-1/3) assuming w is positive. w**(-34/3) Simplify (s**3/s**(2/11))**(2/11) assuming s is positive. s**(62/121) Simplify (t**1)**(-2/33)*(t/t**(-1))**(-41) assuming t is positive. t**(-2708/33) Simplify ((k**(-2/5)/k)/k*k/k**(-2/17))**(-25/2) assuming k is positive. k**(545/34) Simplify (l/(l/(l/l**(-18))*l))/l**(-2/153) assuming l is positive. l**(2756/153) Simplify ((m**0)**(-2/33))**(-18) assuming m is positive. 1 Simplify ((s/s**(-2/7)*s)**(2/5))**(-13) assuming s is positive. s**(-416/35) Simplify (r/((r*r**(-7/2)*r)/r))/r**10 assuming r is positive. r**(-13/2) Simplify o**(1/2)/o**(-3)*o*o**(-3/2)*o**(3/4) assuming o is positive. o**(15/4) Simplify (w*w*(((w**(-1/3)*w*w)/w*w)/w)/w)/w**(-3/7)*((w*w/w**0)/w)**(-17) assuming w is positive. w**(-313/21) Simplify (g**(1/26)/g)**(-7/3) assuming g is positive. g**(175/78) Simplify (i*i**(-2/11)*i/(i**(-4/9)/i*i))**(-10) assuming i is positive. i**(-2240/99) Simplify o**(1/2)/o*o/o**(-3)*(o**1*o)/(o*o**(1/4)*o*o*o) assuming o is positive. o**(5/4) Simplify ((m*m/((m**10*m)/m)*m)/m)**0 assuming m is positive. 1 Simplify (q**6*q*q/(q**(3/5)/q))/(q**(-2/29)*q*q/(q/(q/q**(-1/4)))) assuming q is positive. q**(3607/580) Simplify b**(-2/65)/((b*b/b**(-2/79))/b) assuming b is positive. b**(-5423/5135) Simplify (q/(q*q**7*q))/(q/q**2)*(q**(2/5))**(8/13) assuming q is positive. q**(-439/65) Simplify (k*(((k*k/k**9)/k)/k*k)/k*k)/(k*k**(-6)*k)*(k/(k*k**(-2)/k))**(-32) assuming k is positive. k**(-99) Simplify (f**0)**(-16)/((f*f/(f/((f**(2/3)/f)/f)*f)*f)/((((f*f**(-1))/f)/f)/f)) assuming f is positive. f**(-8/3) Simplify (c/((c**(-3/7)/c)/c)*c**(-2/5)/c)**(-2/23) assuming c is positive. c**(-142/805) Simplify s**5/s**1*(s/s**1)**(-8) assuming s is positive. s**4 Simplify (l/((l**0/l)/l)*l)**(4/25)*((l/l**(-1))/l)**41 assuming l is positive. l**(1041/25) Simplify ((w/(w*w**(2/5)))/w)/(w*w**(-6)/w) assuming w is positive. w**(23/5) Simplify r/((r*r**(10/7))/r)*r**(-2/45) assuming r is positive. r**(-149/315) Simplify (((u**(-1/8)/u)/u*u)/u**(-1/9))**(-1/17) assuming u is positive. u**(73/1224) Simplify (h**(2/5)/h)**(-1/26)/(h**(3/7)/h*h/(h/(h**(2/11)/h))*h) assuming h is positive. h**(4131/10010) Simplify (p**7/p)**39 assuming p is positive. p**234 Simplify (g**(1/4))**(2/9)*g/(g/((g/(g/((g**(1/5)*g)/g)))/g))*g**(-2/5)*g assuming g is positive. g**(-13/90) Simplify (d*d**(-2/5)*d*d*d)**43/(((((d/d**(2/9)*d)/d)/d)/d)/(d*d**3/d)) assuming d is positive. d**(7156/45) Simplify (y**(1/4)/y*y**9/y)/((y*y**(3/7))/y*y/y**(5/2)*y) assuming y is positive. y**(205/28) Simplify (t*t*t**(1/2)*t*t*t)**(-2/55)/((t/t**(-4))/t*t**6*t) assuming t is positive. t**(-56/5) Simplify (s*s**(-4)*s*s**(-1/3))/((s/s**(-5/3))/(s**(3/5)/s*s)) assuming s is positive. s**(-22/5) Simplify f**5*f**(-2/25)/f*f assuming f is positive. f**(123/25) Simplify (m*m**(1/3))**(2/77) assuming m is positive. m**(8/231) Simplify v**(-3/37)/v**9 assuming v is positive. v**(-336/37) Simplify ((l**(-2/5))**(-29))**(6/11) assuming l is positive. l**(348/55) Simplify (t**6/t**(1/5))/(t/(t*t**(-6/7))*t*t/t**(1/2)) assuming t is positive. t**(241/70) Simplify j**(-9/7)*j**(1/3) assuming j is positive. j**(-20/21) Simplify (n**(-2/5)/n)/n**(-7) assuming n is positive. n**(28/5) Simplify ((r/((r*r/((r/(r*r**(-10))*r)/r)*r)/r))/(r*r**(5/6)*r))**(-40) assuming r is positive. r**(-740/3) Simplify (((x*x*x**(-15)/x)/x)/x)/x**(3/7) assuming x is positive. x**(-115/7) Simplify (r**26*r)/(r/((r/(r/(r/(r*r**(-4/25)))))/r)) assuming r is positive. r**(629/25) Simplify (q**(3/7)/(q**(-1)*q))**(9/5) assuming q is positive. q**(27/35) Simplify (a/(a/(a/a**(-17))*a))/(a/a**(-3/5)) assuming a is positive. a**(77/5) Simplify t**(-8)/(t/(t/t**(3/19))) assuming t is positive. t**(-155/19) Simplify ((j/((j/(j**(2/35)*j))/j))/j*j)/j**(-2/9) assuming j is positive. j**(718/315) Simplify t*t**(2/7)*t*t**(-1/11)*(t/t**(2/5))**2 assuming t is positive. t**(1307/385) Simplify ((r/(r/(r/r**(-7)))*r)/(r*r*r/((r*(r**5*r)/r)/r)))/(r**(1/4))**(7/6) assuming r is positive. r**(257/24) Simplify r**(-2/3)*r**(-2/3)*r*r**(-3)*r**3 assuming r is positive. r**(-1/3) Simplify (x**(6/11)/(x*x**(-4)))/(x*x**1)**(-5/4) assuming x is positive. x**(133/22) Simplify (x**(1/5))**(-1/25) assuming x is positive. x**(-1/125) Simplify (t**(-1/9)*t**(2/11))/((t*(t*t**(-2/7))/t)/t*t**(6/7)) assuming t is positive. t**(-347/693) Simplify (i**(-8/3)/(i/i**(-5)))**(-48) assuming i is positive. i**416 Simplify (a**(-1))**(8/3)*a**(-6)/(a/(a**(1/5)/a)) assuming a is positive. a**(-157/15) Simplify f**(-5/8)/f**(-3/20) assuming f is positive. f**(-19/40) Simplify n**(-2)*n**(-4/13) assuming n is positive. n**(-30/13) Simplify (b*b/(b/(b*b**(1/15)*b*b))*b/b**13)**0 assuming b is positive. 1 Simplify (n**(-1))**26*n*n**1/n*n**(-3) assuming n is positive. n**(-28) Simplify (j**20*j/(((j/j**(-2/15))/j)/j))**(3/11) assuming j is positive. j**(328/55) Simplify g**(1/2)/(g*g/(g/(g*g/(g*(g/g**(-1/10))/g*g))))*(g/(g*g**(-3)))/(g*g**4) assuming g is positive. g**(-12/5) Simp
{ "pile_set_name": "DM Mathematics" }
by 43. 42 What is the remainder when 61 is divided by 17? 10 What is the remainder when 103 is divided by 28? 19 What is the remainder when 305 is divided by 14? 11 What is the remainder when 58 is divided by 15? 13 What is the remainder when 504 is divided by 46? 44 Calculate the remainder when 75 is divided by 51. 24 What is the remainder when 43 is divided by 13? 4 Calculate the remainder when 2219 is divided by 36. 23 What is the remainder when 563 is divided by 78? 17 Calculate the remainder when 232 is divided by 34. 28 What is the remainder when 1798 is divided by 34? 30 What is the remainder when 2605 is divided by 428? 37 What is the remainder when 2009 is divided by 463? 157 What is the remainder when 814 is divided by 1? 0 Calculate the remainder when 550 is divided by 46. 44 Calculate the remainder when 650 is divided by 184. 98 What is the remainder when 81 is divided by 13? 3 What is the remainder when 413 is divided by 23? 22 What is the remainder when 340 is divided by 87? 79 Calculate the remainder when 349 is divided by 32. 29 What is the remainder when 22279 is divided by 26? 23 Calculate the remainder when 90 is divided by 7. 6 What is the remainder when 238 is divided by 15? 13 What is the remainder when 643 is divided by 42? 13 What is the remainder when 26 is divided by 10? 6 Calculate the remainder when 1649 is divided by 421. 386 What is the remainder when 3810 is divided by 109? 104 Calculate the remainder when 538 is divided by 135. 133 What is the remainder when 155 is divided by 52? 51 What is the remainder when 1530 is divided by 17? 0 Calculate the remainder when 148 is divided by 41. 25 Calculate the remainder when 321 is divided by 65. 61 Calculate the remainder when 637 is divided by 29. 28 What is the remainder when 10578 is divided by 407? 403 Calculate the remainder when 58 is divided by 50. 8 What is the remainder when 316 is divided by 106? 104 Calculate the remainder when 100 is divided by 15. 10 Calculate the remainder when 68 is divided by 33. 2 What is the remainder when 115 is divided by 12? 7 Calculate the remainder when 95 is divided by 25. 20 Calculate the remainder when 374 is divided by 125. 124 Calculate the remainder when 76 is divided by 7. 6 Calculate the remainder when 30 is divided by 17. 13 What is the remainder when 2442 is divided by 101? 18 Calculate the remainder when 1327 is divided by 12. 7 Calculate the remainder when 3194 is divided by 1063. 5 What is the remainder when 1213 is divided by 27? 25 Calculate the remainder when 204 is divided by 33. 6 Calculate the remainder when 2131 is divided by 27. 25 Calculate the remainder when 1693 is divided by 14. 13 What is the remainder when 460 is divided by 16? 12 Calculate the remainder when 531 is divided by 525. 6 What is the remainder when 1229 is divided by 154? 151 Calculate the remainder when 1422 is divided by 25. 22 Calculate the remainder when 5773 is divided by 18. 13 Calculate the remainder when 133 is divided by 39. 16 Calculate the remainder when 99 is divided by 28. 15 What is the remainder when 2434 is divided by 6? 4 What is the remainder when 169 is divided by 43? 40 What is the remainder when 206 is divided by 57? 35 What is the remainder when 1243 is divided by 250? 243 What is the remainder when 254 is divided by 31? 6 What is the remainder when 351 is divided by 49? 8 What is the remainder when 59 is divided by 32? 27 Calculate the remainder when 1517 is divided by 258. 227 Calculate the remainder when 48 is divided by 46. 2 What is the remainder when 383 is divided by 107? 62 Calculate the remainder when 416 is divided by 106. 98 Calculate the remainder when 1449 is divided by 58. 57 Calculate the remainder when 90 is divided by 83. 7 Calculate the remainder when 1806 is divided by 8. 6 Calculate the remainder when 398 is divided by 20. 18 Calculate the remainder when 3359 is divided by 35. 34 What is the remainder when 76 is divided by 43? 33 What is the remainder when 22956 is divided by 40? 36 Calculate the remainder when 645 is divided by 311. 23 Calculate the remainder when 265 is divided by 4. 1 What is the remainder when 233 is divided by 39? 38 What is the remainder when 99 is divided by 23? 7 What is the remainder when 385 is divided by 128? 1 What is the remainder when 1859 is divided by 31? 30 What is the remainder when 283 is divided by 57? 55 Calculate the remainder when 1720 is divided by 31. 15 What is the remainder when 173 is divided by 86? 1 What is the remainder when 563 is divided by 236? 91 Calculate the remainder when 1036 is divided by 189. 91 What is the remainder when 468 is divided by 60? 48 What is the remainder when 227 is divided by 38? 37 Calculate the remainder when 278 is divided by 35. 33 What is the remainder when 2064 is divided by 39? 36 Calculate the remainder when 624 is divided by 49. 36 What is the remainder when 3169 is divided by 46? 41 What is the remainder when 653 is divided by 361? 292 What is the remainder when 476 is divided by 149? 29 What is the remainder when 175 is divided by 40? 15 What is the remainder when 164 is divided by 32? 4 What is the remainder when 111 is divided by 63? 48 What is the remainder when 335 is divided by 34? 29 Calculate the remainder when 342 is divided by 191. 151 What is the remainder when 200 is divided by 37? 15 What is the remainder when 94 is divided by 49? 45 Calculate the remainder when 2994 is divided by 11. 2 Calculate the remainder when 12 is divided by 10. 2 Calculate the remainder when 8703 is divided by 26. 19 Calculate the remainder when 149 is divided by 50. 49 Calculate the remainder when 611 is divided by 41. 37 Calculate the remainder when 1830 is divided by 17. 11 Calculate the remainder when 3792 is divided by 23. 20 What is the remainder when 1173 is divided by 24? 21 What is the remainder when 54 is divided by 32? 22 Calculate the remainder when 422 is divided by 75. 47 What is the remainder when 275 is divided by 56? 51 What is the remainder when 881 is divided by 26? 23 What is the remainder when 679 is divided by 88? 63 What is the remainder when 1835 is divided by 599? 38 Calculate the remainder when 675 is divided by 135. 0 Calculate the remainder when 1214 is divided by 38. 36 Calculate the remainder when 1704 is divided by 214. 206 Calculate the remainder when 605 is divided by 288. 29 Calculate the remainder when 10 is divided by 5. 0 Calculate the remainder when 678 is divided by 139. 122 What is the remainder when 176 is divided by 12? 8 Calculate the remainder when 1990 is divided by 329. 16 Calculate the remainder when 700 is divided by 468. 232 What is the remainder when 50 is divided by 31? 19 What is the remainder when 837 is divided by 211? 204 What is the remainder when 12338 is divided by 36? 26 Calculate the remainder when 308 is divided by 159. 149 Calculate the remainder when 387 is divided by 56. 51 Calculate the remainder when 186 is divided by 180. 6 What is the remainder when 499 is divided by 36? 31 What is the remainder when 132 is divided by 5? 2 Calculate the remainder when 39 is divided by 5. 4 What is the remainder when 158 is divided by 61? 36 Calculate the remainder when 7978 is divided by 101. 100 Calculate the remainder when 74 is divided by 14. 4 Calculate the remainder when 137 is divided by 14. 11 Calculate the remainder when 437 is divided by 27. 5 What is the remainder when 727 is divided by 17? 13 Calculate the remainder when 3891 is divided by 22. 19 What is the remainder when 297 is divided by 20? 17 Calculate the remainder when 105 is divided by 54. 51 What is the remainder when 420 is divided by 189? 42 What is the remainder when 944 is divided by 86? 84 Calculate the remainder when 413 is divided by 79. 18 Calculate the remainder when 27 is divided by 8. 3 What is the remainder when 789 is divided by 87? 6 Calculate the remainder when 555 is divided by 62. 59 What is the remainder when 3088 is divided by 38? 10 Calculate the remainder when 351 is divided by 90. 81 What is the remainder when 683 is divided by 76? 75 Calculate the remainder when 350 is divided by 23. 5 What is the remainder when 237 is divided by 96? 45 What is the remainder when 285 is divided by 72?
{ "pile_set_name": "DM Mathematics" }
at is prob of picking 2 e when two letters picked without replacement from eeeemmmemeeemeemee? 22/51 Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, q: 1, p: 1, d: 10}. 1/476 What is prob of picking 2 f when two letters picked without replacement from {z: 16, f: 2}? 1/153 What is prob of picking 2 b when two letters picked without replacement from {s: 3, b: 11}? 55/91 Four letters picked without replacement from {m: 1, e: 2, i: 1, v: 3}. Give prob of picking 1 e, 1 i, 1 v, and 1 m. 6/35 Four letters picked without replacement from jljjqjjllqejjleqeq. Give prob of picking 2 q, 1 j, and 1 l. 14/255 Three letters picked without replacement from {t: 3, m: 11, c: 1}. Give prob of picking 1 c, 1 m, and 1 t. 33/455 What is prob of picking 2 v and 1 f when three letters picked without replacement from {f: 1, y: 4, o: 1, e: 3, v: 8}? 7/170 Two letters picked without replacement from {b: 3}. What is prob of picking 2 b? 1 What is prob of picking 3 o and 1 i when four letters picked without replacement from oxfixofohxx? 1/330 Two letters picked without replacement from {m: 8, f: 5}. What is prob of picking 2 f? 5/39 Two letters picked without replacement from uzzuuzuuzzuuuzuzzzuu. Give prob of picking 1 u and 1 z. 99/190 Two letters picked without replacement from oujjujooojyojujjjj. What is prob of picking 2 u? 1/51 What is prob of picking 1 k and 2 n when three letters picked without replacement from {n: 2, k: 17}? 1/57 Four letters picked without replacement from {m: 6, a: 3, u: 2, t: 5, e: 1}. What is prob of picking 1 e, 2 m, and 1 u? 3/238 Two letters picked without replacement from {x: 4, h: 2, b: 2}. Give prob of picking 2 x. 3/14 Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {e: 4, s: 2, l: 6, j: 2, n: 1}. 6/455 What is prob of picking 1 j and 1 w when two letters picked without replacement from wofooosjbbfw? 1/33 Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {t: 1, h: 4, w: 8, s: 7}. 14/95 Calculate prob of picking 2 t and 1 i when three letters picked without replacement from iteetetie. 1/14 What is prob of picking 1 w and 1 f when two letters picked without replacement from wowowofwwwfocwcw? 2/15 Calculate prob of picking 1 r, 2 o, and 1 j when four letters picked without replacement from jrjobbbbjooobbjk. 6/455 Calculate prob of picking 1 p, 1 r, 1 f, and 1 s when four letters picked without replacement from {s: 1, k: 1, f: 3, r: 2, b: 1, p: 3}. 3/55 Calculate prob of picking 2 n when two letters picked without replacement from {h: 1, k: 2, b: 1, z: 3, n: 5}. 5/33 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {c: 4, p: 9, h: 2, t: 4}. 8/171 What is prob of picking 1 q and 2 o when three letters picked without replacement from {q: 5, o: 7}? 21/44 Calculate prob of picking 1 y and 3 e when four letters picked without replacement from {e: 15, y: 3}. 91/204 Two letters picked without replacement from {a: 4, x: 3, k: 2, i: 2, e: 2}. What is prob of picking 2 k? 1/78 Three letters picked without replacement from jjjcjsjddddjdddssdd. Give prob of picking 1 s and 2 j. 15/323 Calculate prob of picking 3 r when three letters picked without replacement from rgrggr. 1/20 What is prob of picking 1 i and 1 n when two letters picked without replacement from {i: 1, a: 4, n: 2, b: 4, t: 5}? 1/60 Calculate prob of picking 1 t and 2 l when three letters picked without replacement from {t: 1, s: 4, p: 1, l: 3, r: 1, d: 4}. 3/364 Four letters picked without replacement from {p: 2, j: 5, e: 2}. What is prob of picking 2 e and 2 p? 1/126 Two letters picked without replacement from lllkklklplkppkkhll. Give prob of picking 1 k and 1 l. 16/51 Two letters picked without replacement from {b: 3, i: 5, d: 1, n: 7, e: 2}. Give prob of picking 1 e and 1 i. 10/153 Calculate prob of picking 2 w and 2 a when four letters picked without replacement from aogwbaoabajw. 2/165 Three letters picked without replacement from kksfskkusufkuukkukk. What is prob of picking 1 k, 1 s, and 1 f? 18/323 Four letters picked without replacement from yyryryydyryd. What is prob of picking 2 d, 1 y, and 1 r? 7/165 What is prob of picking 1 e and 1 k when two letters picked without replacement from ebeplereeklplekee? 2/17 Two letters picked without replacement from {b: 1, u: 1, j: 1}. What is prob of picking 1 b and 1 j? 1/3 Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, v: 1, s: 2}. 1/6 Calculate prob of picking 1 j and 1 f when two letters picked without replacement from ffjjjjffjfjjjj. 45/91 What is prob of picking 1 p and 1 t when two letters picked without replacement from tjttp? 3/10 Calculate prob of picking 2 i and 1 m when three letters picked without replacement from iiimmnbbim. 3/20 What is prob of picking 1 c and 1 e when two letters picked without replacement from chceceeccccecheeece? 8/19 What is prob of picking 2 b, 1 h, and 1 l when four letters picked without replacement from holoooohohbohhohbh? 7/3060 Four letters picked without replacement from pzpzzzpzpp. What is prob of picking 3 p and 1 z? 5/21 What is prob of picking 4 d when four letters picked without replacement from ddnnndd? 1/35 Calculate prob of picking 2 x and 1 h when three letters picked without replacement from rxxrxxxrrhrrrrx. 3/91 What is prob of picking 2 i when two letters picked without replacement from hihmriiorih? 6/55 What is prob of picking 2 o and 1 w when three letters picked without replacement from oyovowobvwsvwbwoybwo? 5/76 What is prob of picking 3 o when three letters picked without replacement from gjjogpsgjjyogso? 1/455 Two letters picked without replacement from ggsgfgumggsggsfo. Give prob of picking 2 g. 7/30 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from ebb. 2/3 Calculate prob of picking 1 x, 1 j, and 2 r when four letters picked without replacement from {x: 1, j: 4, r: 4, d: 1, a: 5}. 8/455 Four letters picked without replacement from {c: 5, m: 11}. Give prob of picking 4 c. 1/364 Three letters picked without replacement from {z: 7, t: 3, w: 1, g: 7, q: 2}. Give prob of picking 1 z, 1 q, and 1 w. 7/570 Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {p: 16, z: 1, w: 3}. 24/95 What is prob of picking 2 j when two letters picked without replacement from tvjqxjqxtxva? 1/66 What is prob of picking 4 g when four letters picked without replacement from ggggggg? 1 Two letters picked without replacement from {h: 7, n: 3, q: 9}. Give prob of picking 2 q. 4/19 What is prob of picking 1 c, 1 v, and 1 l when three letters picked without replacement from lklckllllllcvlcl? 3/56 What is prob of picking 1 s, 1 n, and 1 l when three letters picked without replacement from {x: 1, n: 6, l: 2, f: 2, s: 4, q: 4}? 16/323 What is prob of picking 1 o and 3 h when four letters picked without replacement from {h: 1, o: 3}? 0 What is prob of picking 2 s when two letters picked without replacement from {s: 12, e: 1}? 11/13 Two letters picked without replacement from btbhlllmtlth. What is prob of picking 2 l? 1/11 What is prob of picking 1 e, 1 s, and 2 a when four letters picked without replacement from aaaseeeaeaeesae? 2/13 Four letters picked without replacement from bbeesesbsbsssseb. Give prob of picking 2 s, 1 e, and 1 b. 3/13 Two letters picked without replacement from lllpllpppl. Give prob of picking 2 l. 1/3 Two letters picked without replacement from xkgbbce. Give prob of picking 1 e and 1 x. 1/21 Two letters picked without replacement from cececcc. What is prob of picking 1 e and 1 c? 10/21 What is prob of picking 1 h and 2 o when three letters picked without replacement from acymhoo? 1/35 Three letters picked without replacement from {w: 2, z: 1, p: 2, m: 1, c: 1, q: 2}. What is prob of picking 2 q and 1 z? 1/84 Three letters picked without replacement from {m: 3, o: 4}. What is prob of picking 3 o? 4/35 What is prob of picking 2 l, 1 r, and 1 x when four letters picked without replacement from {t: 6, r: 3, l: 4, x: 1}? 18/1001 What is prob of picking 2 k when two letters picked without replacement from {q: 5, d: 3, k: 3}
{ "pile_set_name": "DM Mathematics" }
hen two letters picked without replacement from {a: 4, t: 5, n: 5, g: 3, o: 1}? 10/153 Three letters picked without replacement from lnlleeeee. What is prob of sequence nle? 5/168 What is prob of sequence jyyy when four letters picked without replacement from {j: 3, y: 3, x: 5, q: 2, p: 3}? 3/7280 Two letters picked without replacement from {z: 5, j: 3, c: 3, u: 3, n: 2}. Give prob of sequence jj. 1/40 Calculate prob of sequence wd when two letters picked without replacement from lwwdlllwd. 1/12 Calculate prob of sequence frfq when four letters picked without replacement from {r: 13, f: 3, q: 3}. 13/5168 Two letters picked without replacement from {e: 3, w: 1, q: 2, b: 1, c: 3}. Give prob of sequence qw. 1/45 Calculate prob of sequence jjjn when four letters picked without replacement from jnjnnj. 1/20 Three letters picked without replacement from gauiiuamiua. What is prob of sequence uui? 1/55 Calculate prob of sequence zy when two letters picked without replacement from uaayuuyzaeyauay. 2/105 Calculate prob of sequence gr when two letters picked without replacement from rggg. 1/4 What is prob of sequence rzp when three letters picked without replacement from {f: 2, z: 9, p: 2, n: 1, r: 3}? 9/680 Three letters picked without replacement from nnnnnnnnn. Give prob of sequence nnn. 1 What is prob of sequence wbf when three letters picked without replacement from {w: 1, b: 3, f: 1}? 1/20 What is prob of sequence uk when two letters picked without replacement from kukkkkkkuk? 8/45 Three letters picked without replacement from {e: 2, t: 1, v: 8, s: 4}. What is prob of sequence sts? 2/455 What is prob of sequence llll when four letters picked without replacement from lllll? 1 Three letters picked without replacement from zggssrrssrrggsrssg. What is prob of sequence zsr? 35/4896 Calculate prob of sequence jm when two letters picked without replacement from {g: 1, q: 1, m: 9, j: 3}. 27/182 What is prob of sequence znz when three letters picked without replacement from {g: 10, y: 1, z: 5, n: 4}? 2/171 Calculate prob of sequence yrj when three letters picked without replacement from jyssyyrsyysajjyyysa. 4/969 Three letters picked without replacement from sssssysysssssys. Give prob of sequence sss. 44/91 What is prob of sequence rr when two letters picked without replacement from {r: 5}? 1 What is prob of sequence uf when two letters picked without replacement from uufuyuuguussuufu? 1/12 Three letters picked without replacement from kubbuk. Give prob of sequence bub. 1/30 What is prob of sequence kl when two letters picked without replacement from {l: 7, k: 3}? 7/30 Four letters picked without replacement from {s: 2, k: 2, j: 7, d: 1, e: 1, i: 2}. Give prob of sequence jdek. 1/2340 Three letters picked without replacement from {u: 2, g: 2, v: 1, m: 4}. What is prob of sequence gmg? 1/63 Three letters picked without replacement from {c: 1, d: 1, w: 1, q: 1, j: 1}. Give prob of sequence jcw. 1/60 What is prob of sequence qaa when three letters picked without replacement from mkaskqannnnnsnnnsn? 1/2448 What is prob of sequence qf when two letters picked without replacement from {q: 1, j: 1, m: 2, f: 1}? 1/20 Calculate prob of sequence gooo when four letters picked without replacement from ggogggogggogggggoog. 35/3876 Three letters picked without replacement from mhhhhhhm. What is prob of sequence mmh? 1/28 Three letters picked without replacement from ljxxxxjxljjxx. What is prob of sequence xjx? 14/143 Three letters picked without replacement from ssuususauuass. Give prob of sequence saa. 1/143 Calculate prob of sequence wwpn when four letters picked without replacement from {p: 4, n: 4, w: 7}. 4/195 Calculate prob of sequence xx when two letters picked without replacement from xxxxxxmxmx. 28/45 Two letters picked without replacement from {z: 5, l: 1, u: 1, d: 6, w: 1}. What is prob of sequence zw? 5/182 Three letters picked without replacement from {l: 2, a: 1, w: 2, p: 3, t: 1, b: 3}. Give prob of sequence bww. 1/220 Three letters picked without replacement from {d: 12, q: 5, g: 1}. Give prob of sequence qgq. 5/1224 Calculate prob of sequence nnud when four letters picked without replacement from ddundnddnnu. 1/66 What is prob of sequence prr when three letters picked without replacement from uuuprrr? 1/35 What is prob of sequence bb when two letters picked without replacement from bbbbkkbbkbbkbbbbkb? 26/51 Three letters picked without replacement from {j: 4, b: 14}. What is prob of sequence jjj? 1/204 Two letters picked without replacement from {j: 1, h: 4, y: 1, b: 2}. What is prob of sequence hj? 1/14 Calculate prob of sequence ksux when four letters picked without replacement from uskxi. 1/120 Calculate prob of sequence hgr when three letters picked without replacement from glrhgrggg. 5/252 What is prob of sequence mmml when four letters picked without replacement from {l: 11, m: 9}? 77/1615 What is prob of sequence clc when three letters picked without replacement from {l: 9, c: 7}? 9/80 Three letters picked without replacement from skvdhmvvkmdvmddkdm. What is prob of sequence mkm? 1/136 Four letters picked without replacement from yyrrttyryqyytrr. Give prob of sequence yryy. 5/273 Two letters picked without replacement from ifiivivvfvif. Give prob of sequence ff. 1/22 What is prob of sequence vl when two letters picked without replacement from {i: 2, c: 3, r: 1, v: 1, l: 8, j: 5}? 2/95 Calculate prob of sequence qz when two letters picked without replacement from {d: 1, c: 1, v: 1, z: 1, q: 1}. 1/20 What is prob of sequence rrrr when four letters picked without replacement from crererrmrieemceereir? 7/969 Three letters picked without replacement from sssssksssskss. What is prob of sequence ksk? 1/78 Two letters picked without replacement from {h: 5, y: 9}. What is prob of sequence yh? 45/182 Calculate prob of sequence gg when two letters picked without replacement from qqqqgqqqqqqgqqqqgqgq. 3/95 What is prob of sequence ttx when three letters picked without replacement from ccytxcactcxtctccaay? 4/969 Four letters picked without replacement from bbuukj. Give prob of sequence bbkj. 1/180 Three letters picked without replacement from fjgfnfo. Give prob of sequence ojn. 1/210 What is prob of sequence fff when three letters picked without replacement from ffffffffff? 1 Two letters picked without replacement from {m: 1, f: 1, n: 1, d: 2, h: 1, q: 1}. Give prob of sequence fh. 1/42 What is prob of sequence nww when three letters picked without replacement from nwnw? 1/6 What is prob of sequence ssi when three letters picked without replacement from {a: 4, i: 5, s: 2, r: 2}? 5/858 Four letters picked without replacement from {y: 3, d: 2, o: 5}. What is prob of sequence ooyd? 1/42 What is prob of sequence zz when two letters picked without replacement from {p: 4, z: 7, h: 5}? 7/40 Calculate prob of sequence dyg when three letters picked without replacement from dyg. 1/6 Three letters picked without replacement from {s: 3, m: 4}. What is prob of sequence mms? 6/35 Two letters picked without replacement from {o: 4, r: 7}. What is prob of sequence oo? 6/55 Two letters picked without replacement from {r: 2, k: 1, w: 2, o: 1, u: 4}. What is prob of sequence uu? 2/15 Two letters picked without replacement from {e: 5, l: 1, b: 3, m: 4}. Give prob of sequence bb. 1/26 Calculate prob of sequence wf when two letters picked without replacement from {w: 4, l: 2, f: 4, r: 4}. 8/91 Calculate prob of sequence dg when two letters picked without replacement from {g: 1, c: 1, q: 2, d: 2}. 1/15 Three letters picked without replacement from {y: 1, p: 1, l: 2, o: 6, i: 8}. Give prob of sequence oyi. 1/102 Calculate prob of sequence lxqu when four letters picked without replacement from {x: 1, b: 5, j: 1, l: 4, u: 1, q: 1}. 1/4290 Two letters picked without replacement from {d: 8, r: 7, e: 4, s: 1}. What is prob of sequence ds? 2/95 Two letters picked without replacement from ccsyascksss. Give prob of sequence sa. 1/22 Four letters picked without replacement from smsmsss. Give prob of sequence smsm. 1/21 What is prob of sequence by when two letters picked without replacement from {m: 2, b: 1, y: 1}? 1/12 What is prob of sequence hb when two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
q**2 - 5*q**2 + 2*q**2)*(2 + q - 2). 15*q**3 Expand (3*j**4 + j - j)*(-j + j + 2*j) - 84*j**5 - 115*j**5 + 52*j**5 + 2*j**5 + j - j. -139*j**5 Expand (0 - 1 - 1 + (0 + 0 - 1)*(-3 + 4 + 1) + 3 + 0 - 2)*(-1 + 0 + 2)*(-4 - 14 - 22)*(-2 - u + 2). -120*u Expand -8*z**4 + 0*z**4 - 8*z**4 + (0*z - 2*z + 3*z)*(5*z**3 + 2*z**3 - 6*z**3) - z**4 - z**4 - z**4. -18*z**4 Expand (-3*w**2 - 2*w**2 + 0*w**2)*(3*w - 3*w - w + (0*w - 2*w + 4*w)*(-4 + 2 - 2)). 45*w**3 Expand (-22*h**2 - 31*h**2 + 39*h**2)*(-2*h + 3*h + 3 - 2). -14*h**3 - 14*h**2 Expand (1 + 0 + 1)*(-8 + 0 + 18)*(-4*a**2 + 5*a**2 - 25*a**2)*(2 + 0 - 3). 480*a**2 Expand r**2 - 3*r**2 + 3*r**2 + 1 + (0*r**2 + 2*r**2 - 3*r**2)*(4 + 1 - 7) + 92*r - 92*r + 98*r**2. 101*r**2 + 1 Expand (52*m - 88*m - 57*m)*(2 - 4 + 3)*(3*m + 2*m - 4*m). -93*m**2 Expand -48 + 3017*o**3 - 3037*o**3 - 5*o**2 + 2*o + 47 + (2 - 2 - o**2)*(-3*o + o + o). -19*o**3 - 5*o**2 + 2*o - 1 Expand (-25232 + 25232 + 147*o**2)*(o - 2 + 2) + 3*o**3 - 2*o**3 + 4*o**3. 152*o**3 Expand -9*w + 1 - 4*w**5 + 9*w + (-6 + 0 + 4)*(23*w**5 + 188*w**4 - 188*w**4). -50*w**5 + 1 Expand (0 - 2 + 1)*(-18 - 24*f + 18)*(-f**3 - 54*f - 5*f**3 + 56*f). -144*f**4 + 48*f**2 Expand 8*l - 3*l + 14*l**4 - 2*l - l**4 - l**4 - l**4 - 2*l**4 - 2*l**4 + 2*l**4 + (0 + 0 - 2*l)*(l**3 - 3*l**3 + 4*l**3) - 3*l**4 + 3*l**4 + 2*l**4. 7*l**4 + 3*l Expand (1 + 0 + 1)*(-3 + 3 + j)*(0*j**4 + j**4 + 0*j**4). 2*j**5 Expand (0*y**2 + 2*y**3 + 0*y**2)*(-5*y + 4*y + 3*y) + 17*y**4 - y**4 + 9*y**4 + (-y**2 + 4*y**2 - y**2)*(-4 - y**2 + 4) - 3*y - y**4 + 3*y. 26*y**4 Expand (0*k - 2*k + k)*(-589 - 529 + 1029). 89*k Expand (-5 + 7395*u - 7 - 7392*u)*(5 - 4 + 0). 3*u - 12 Expand (k**4 + k**2 - k**2)*((-1 + 2 - 3)*(0 - 2 + 1) + 1 - 2 - 3 + (0 + 3 - 1)*(-27 + 29 + 55) + 1 + 2 - 4). 111*k**4 Expand (r**2 - 3*r**2 + r**2)*(-65*r - 116*r - 119*r). 300*r**3 Expand (-3 + 0 + 1)*(58*k + 71 - 71)*(2*k - 2*k + k + (1 - 1 + 1)*(2*k - 6*k + 3*k) + 0*k + 2*k + 0*k + 0*k - 2*k + 4*k). -464*k**2 Expand (2*s**2 + s**2 + 2*s**2)*(2 - 7 + 6)*(3 - 3*s - 3). -15*s**3 Expand ((-3 + 0 + 1)*(4 - 3 - 3) + 4 - 5 - 1 + 103 - 31 - 56)*(0*w**4 + 3*w**4 - w**4). 36*w**4 Expand 5*l - l - 5*l + (-1 + 2*l + 1)*(3 - 1 - 1) + 4*l - 2*l - l + 3*l - 3*l + 3*l + (-1 - 1 + 3)*(4*l + l - 2*l). 8*l Expand 4*s**2 - 4*s**2 + s**5 + (-8*s**3 - 12*s**3 - 4*s**3)*(-3*s + 3*s - 2*s**2). 49*s**5 Expand (39*l + 2 - 67*l + 52*l)*(2 - 2 + 4*l**2). 96*l**3 + 8*l**2 Expand 2*j**3 + j**3 - 5*j**3 + (-2*j + j + 2*j)*(2 + 4 - 3)*(-3*j**2 - 3*j**2 - j**2). -23*j**3 Expand (48 + 17 - 7)*(-2*k + 2*k + k + (0 + 1 - 3)*(k + 0*k + 2*k) + 4*k - 6*k + 3*k)*(-k + 1 - 1). 232*k**2 Expand (-3 - 2 + 0)*(3*g**3 - 8*g**3 + 3*g**3)*(88 - 88 + 17*g)*(6 + 0 - 4). 340*g**4 Expand (-2*l - 3*l + 6*l + (5*l - 4*l + 0*l)*(-4 + 1 + 1) + l + 0*l - 3*l)*(4 + 2 - 5) + (3 - 4 - 1)*(-4*l - 4*l + 5*l) - l + 0*l + 3*l + 5*l - 3*l - 3*l. 4*l Expand ((-1 + 2 - 3)*(-1 - 4 + 3) - 4 - 1 + 4 - 2 + 5 - 1)*(-3 + 3 + 4*t)*(2 + 12 - 8). 120*t Expand (2809*w - 12*w**2 + 0 - 4 - 2813*w)*(3*w + 4 - w - 3). -24*w**3 - 20*w**2 - 12*w - 4 Expand 2*b**3 + 26 + 2*b + 29 + 3*b**5 - 54 + (-7*b**3 - 15*b**3 - 4*b**3)*(-b**2 + 0*b**2 + 0*b**2). 29*b**5 + 2*b**3 + 2*b + 1 Expand (-k**2 - 2*k**2 + k**2)*(-24 - 2 + 18 + 8 - 874*k). 1748*k**3 Expand 3*q**4 + q**4 - 6*q**4 + (-q**3 + 2*q**3 + q**3)*(-q + 2*q - 2*q) + q + q**4 - q + (-3 - 7 + 1)*(5*q**4 + 3*q**4 - 3*q**4). -48*q**4 Expand (t - 3 + 3 + (-5*t + 2*t + 2*t)*(-1 + 2 + 1) + (9*t + 5*t + 68*t)*(2 + 4 - 2))*(2*t**3 + 2*t**3 - 2*t**3). 654*t**4 Expand 4*w - 6*w**2 + 3*w**2 + 4*w**2 - 2 - 12*w**2 + 16*w**2 - 20*w**2 + (0*w - 3*w + 4*w)*(3*w + 3*w - 4*w). -13*w**2 + 4*w - 2 Expand -3*n**3 + 3*n**2 + 9*n**3 - n**2 + 5*n - 5*n + 3*n**3 - 2*n**3 + 3*n**3 - 3*n**3 + (-2*n**2 + 0*n + 0*n)*(-4*n + 0*n + 2*n). 11*n**3 + 2*n**2 Expand (-310 + 902 + 803 + 493)*(-3*k + 2*k + 0*k). -1888*k Expand (-11*d**4 + 105*d**4 + 137*d**4)*(-5 + 4 + 2). 231*d**4 Expand (11067 + 140*u - 11067)*(6 + 2 - 1). 980*u Expand (-7 - 13 - 3 + (5 - 1 - 3)*(4 - 2 - 3))*(-2*q - 3*q + 3*q)*(8*q**2 - 8*q**2 + 10*q**2)*(-1 - 3 + 6 + (5 - 1 - 3)*(-3 - 1 + 3)). 480*q**3 Expand (2 - 6*c - 5*c + 9*c)*(-8 + 8 - 8*c**3). 16*c**4 - 16*c**3 Expand -c**2 - 4*c**2 + c**2 + (c - c + c)*(-3*c - c + 5*c) - 2*c + 8*c**2 + 2*c. 5*c**2 Expand (u + 2*u - 2*u)*(2*u + u - 4*u) + u - u + 2*u**2 - u**2 + u**2 - 2*u**2 + 0*u**2 + 0*u**2 - 2*u**2 + (0*u + 0*u - u)*(u + 12*u + 2*u). -18*u**2 Expand (-1 + 5 - 5)*(-3 + 3 - 1)*(-7*g + 2*g + g). -4*g Expand -3*n - 4*n**2 + 3*n - 1 - 2*n**2 - 2*n**2 + 2*n**2 + (15*n - 15 + 15)*(-4*n + 2*n + n). -21*n**2 - 1 Expand (-2*a**2 + 3*a - 3*a)*(-3*a + 0*a + 2*a) - 4 - 3 - 134*a**3 + 127*a**3. -5*a**3 - 7 Expand (2 - 3 + 6 + (1 - 2 + 0)*(-3 + 2 - 1) + 6 - 2 - 3)*(-43*v + 27*v**2 + 43*v). 216*v**2 Expand 32*j**4 - 30*j**4 + 63*j**4 + 2*j**4 - 6*j**4 + 0*j**4 + 1 - 1 - 2*j**4 + (-2*j - 2*j + 5*j)*(4*j**3 - j**3 - 4*j**3). 58*j**4 Expand (-g**2 + 0*g**2 + 3*g**2)*(1171*g - 1171*g - 36*g**2). -72*g**4 Expand (-2*f - f - 2*f)*(45 + 2*f**2 - 45 + 9*f). -10*f**3 - 45*f**2 Expand -3 + 3 - u + 3*u - u - 3*u + (1 - 4 + 1)*(12*u + 4*u - 12*u). -10*u Expand (3 - 5 + 3)*(11 - 3*b**4 - 11)*(1 - 2 + 9). -24*b**4 Expand (2 - 1 - 3)*(32*j - 33*j - 35*j). 72*j Expand (-4 - 2 + 4)*(1 + 0 + 1)*(2*x + 3*x - 2*x)*(-43 + 41 + 33). -372*x Expand 4*k**3 - 4*k**3 - 3*k**4 + 146*k**4 - 217*k**4 + 112*k**4 - k + k**4 + k + (4 - 4 - 2*k)*(-k**3 + 2*k - 2*k). 41*k**4 Expand -165*s**4 + 165*s**4 - 49*s**5 + (3*s**2 - 3*s + 3*s)*(0*s**3 - 2*s**3 + 0*s**3). -55*s**5 Expand -3*u + 2*u + 0*u + (3 - 5 + 4)*(-3*u - 3*u + 4*u) - 3*u + 7*u - 2*u - 2 + u + 2 - 2*u - u + 2*u + 416*u + 436*u - 477*u. 372*u Expand (-54*t - 73 + 73)*(5*t**3 - 5*t**3 - 6*t**4). 324*t**5 Expand -2*x + 2*x - x + (4 - 2 + 0)*(2*x + 4 - 4) - 44*x + 3 + 5 - 10. -41*x - 2 Expand (-8*g - 30*g + 5 + 264*g)*(-2*g - g + g + (-1 + 0 + 3)*(-g - 1 + 1)). -904*g**2 - 20*g Expand (-n + 3*n + 3*n + (1 - 1 + 2)*(-4 + 4 + n))*((4 - 2 - 1)*(2 - 2 + 2) - 28 - 8 + 9). -175*n Expand (-1915*c + 14 + 5 + 1914*c)*(1 + 1 + 3). -5*c + 95 Expand (v**5 + 0*v**5 + 0*v**5)*(89 - 63 + 104). 130*v**5 Expand (u**2 - 8 + 8)*(2 + 2 - 2)*(-56 - 2*u**2 + 56 + (2 - 6 + 2)*(2 - u**2 - 2) - u + u - u**2). -2*u**4 Expand -y**3 + 0 + 0 + 49*y**3 - 40 + 40 + (0 + 0 - y)*(y**2 + 4*y**2 - 4*y**2) + 3*y**3 - y**3 + 0*y**3 + (0 + 0 + y)*(y**2 - 2 + 2). 50*y**3 Expand (-h + 2*h - 2*h)*(4 + 3 - 5)*(4*h - 4*h - 2*h)*(-22*h + 25*h + 44*h). 188*h**3 Expand (-9*m + 19*m - 22*m)*(-5*m**4 + 32 - 32). 60*m**5 Expand (-4 + 1 + 2)*(10*q**5 + 2 - 3*q**3 - 29*q - 8*q**5 + 27*q). -2*q**5 + 3*q**3 + 2*q - 2 Expand (-22 - 7*q + q + 4*q)*(-5 + 3 + 8)*(-2 - 2*q + 2). 24*q**2 + 264*q Expand i**2 + 0*i + 0*i + (3 - 2*i - 3)*(2*i - 3*i - i) + 182*i + 55*i**2 - 57*i**2 + 129*i - 62*i. 3*i**2 + 249*i Expand (-179*g - 14754 + 14754)*(g + 3 + 0 + 3). -179*g**2 - 1074*g Expand i + 4*i - 3*i - 3*i + 3*i + 2*i + i - i + 2*i + (-3*i + 6*i - 2*i)*(-7 + 0 - 7) - 8*i - 3*i + 3*i + 5*i - 3*i - 4*i. -18*i Expand (-3*s + s + 0*s)*(-43 + 32 - 81)*(0 + 3 - 1). 368*s Expand (-17 + 4 - 22 + (3 + 1 - 5)*(-2 + 3 + 1))*(g + 3*g - 5*g). 37*g Expand -2*t**2 - t**2 + 2*t**2 + (0 + 1 + 0)*(-5*t**2 + 3*t**2 + t**2) + 6*t**2 - 4*t**2 - 3*t**2 - 2*t**2 + t**2 - 765873 - 5*t + 765979. -4*t**2 - 5*t + 106 Expand (-37*m**3 + 87659*m - 87659*m)*(3 - 1 - 1). -37*m**3 Expand (-15*i - 9*i + 4*i)*(-2 - 3 - 3). 160*i Expand (-4*a + 0*a - a + (4*a - 2*a - 5*a)*(2 - 2 + 1))*(-a**2 + 2*a**2 - 4*a**2). 24*a**3 Expand (-2 + 2 + 3 + (3 + 3 - 4)*(-2 + 1 + 3))*(-37*i - 11*i**5 + 37*i) + (0*i**3 - 2*i**3 + 5*i**3)*(-i**2 + 0*i**2 - i**2). -83*i**5 Expand 3*i**4 + i**3 - i**3 + (5 + 1 + 0)*((2 - 1 - 2)*(2*i + 4*i - 5*i) - 3*i - i + 3*i + 0*i + 3*i - 5*i)*(-i**3 + 4*i**3 - i**3). -45*i**4 Expand (r - r + 2*r**2)*(-7*r**3 + 6*r**3 + 0*r**3 + 31). -2*r**5 + 62*r**2 Expand (k + k - k)*(-1 - 2 + 0) + 4*k - 4 + 4 + 5*k - 2*k + k. 5*k Expand ((2 - 3 - 1)*(2*h + 2*h - 6*h) + 3*h - 5*h + 0*h + 2*h + 1 + h - 4*h)*((-2 + 1 + 2)*(h + h - 4*h) + 3*h - h - h - 18*h - 12*h - 4*h). -35*h**2 - 35*h Expand (-3*l - 2*l + 5 - 4)*(-4*l + 2 - 2)*(-2 + 0 + 15). 260*l**2 - 52*l Expand -12*j - 120 - 124 + 249 + (-3 + 3 + 3)*(-4 + j + 4). -9*j + 5 Expand (0
{ "pile_set_name": "DM Mathematics" }
e (-4)/14 - (6003/21)/(-3). What is the greatest common factor of i and l? 19 Suppose -10*d - 701 + 7701 = 0. What is the greatest common factor of d and 70? 70 Let a(o) = o + 1. Let s be a(-6). Let x = s + 15. Let z = 25 - 0. Calculate the greatest common factor of z and x. 5 Let y = 19 - 17. Let m(h) = -1 - 2*h + 4*h**2 + 0*h + h**y - 4. Let b be m(5). Calculate the greatest common factor of b and 44. 22 Suppose 40*z - 71*z = -18662. Calculate the greatest common divisor of 7 and z. 7 Suppose 0*b + 2*b - z + 15 = 0, 2*b = -2*z - 30. Let n be 110/33*(-12)/b. What is the highest common factor of n and 4? 4 Let r(t) = -t**2 - 7*t - 4. Let q be r(-6). Suppose 10*k + 549 - 729 = 0. What is the greatest common divisor of q and k? 2 Let l(j) = -251*j**3 + j**2 + 2*j + 2. Let m be l(-1). Suppose -21*s + 18*s = -m. Calculate the greatest common divisor of s and 12. 12 Suppose -3*c - 4*g - 26 = 0, -3*g = -2*c - 6 - 0. Let b(z) = z + 9. Let f be b(c). Let s = -3 - -6. What is the highest common factor of f and s? 3 Suppose -5*d = 4*b - 1566, 8*d - 5*d - b = 926. What is the highest common factor of d and 217? 31 Suppose -3*f + 3*k = 5*k + 5, -2*f + 5*k = -22. Let t be 1*95/38*(f + 3). What is the greatest common divisor of t and 30? 10 Let f(y) = -3*y - 24. Let t be f(-10). Calculate the highest common divisor of t and 21. 3 Let a be (-1 - 23)/(4/(-10)). Calculate the greatest common divisor of a and 18. 6 Let w(b) = -112*b - 105. Let h be w(-6). What is the highest common factor of h and 9? 9 Suppose 2*r - 38 = -5*v - r, -2*v + r = -13. Calculate the greatest common divisor of 154 and v. 7 Let c = -220 + 221. Suppose -s + 12 = s. Let x be (-63)/s*(-7 - c). What is the highest common factor of 12 and x? 12 Suppose -12*s + 303606 = 89*s. What is the greatest common factor of 9 and s? 9 Suppose -25*j = 153 - 528. Let l(s) = -8*s + 1. Let r be l(-3). Let i = r - j. What is the greatest common factor of 2 and i? 2 Let r(g) = -16*g + 11. Let v be r(-5). Suppose -2*c - 5*l = -0*c - 26, 4*c = -5*l + 52. Calculate the greatest common factor of c and v. 13 Let k = 639 + -635. Calculate the highest common divisor of 12 and k. 4 Let o(j) = 6*j - 6. Let d be o(1). Suppose -5*r + 14*r - 405 = d. Calculate the highest common factor of r and 15. 15 Let g = 45 + -27. Let t be (8/16)/(1/g). Calculate the greatest common factor of 18 and t. 9 Let s be ((-32)/3)/16*(0 + -27). Calculate the greatest common divisor of 1080 and s. 18 Let h be (10 + -8)*(-1 - -2). Suppose -h + 52 = 10*p. Calculate the greatest common factor of p and 2. 1 Let v be 2/(1/(-1)) + 4. Suppose 2*f + 532 = 4*w, 5*w - v*f - 668 = 2*f. What is the greatest common factor of 12 and w? 12 Let k(l) = -2*l**2 - 15*l - 1 - 1 - 3. Let t be k(-6). Let f(b) = -36*b - 4. Let j be f(-3). Calculate the highest common divisor of t and j. 13 Suppose -70 = -19*l + 5*l. Let r(g) = 2*g**2 + 3*g - 4. Let d be r(-3). Calculate the greatest common divisor of d and l. 5 Let c = -147 - -157. Suppose -6 = -2*d, -2*n - d + 15 - 4 = 0. Suppose -n*m - 90 = -c*m. Calculate the highest common divisor of 165 and m. 15 Suppose 2*r - 192 = -2*z, -5*z + 60*r - 61*r + 468 = 0. What is the greatest common divisor of 248 and z? 31 Let h(l) = 7*l**2 + 3*l + 5*l**3 - 1 - 4*l**3 - 12*l. Let p be h(-7). Calculate the greatest common factor of p and 155. 31 Let k = -231 + 243. What is the greatest common divisor of 78 and k? 6 Let f = -163 - -569. What is the greatest common factor of 58 and f? 58 Let p = -124 - -238. Calculate the highest common divisor of 171 and p. 57 Suppose 16 - 6 = 2*t. Let z(r) = 2*r + 20. Let k be z(-9). Suppose 0*c = -t*i + c + 160, 0 = -3*i + k*c + 96. Calculate the highest common divisor of 80 and i. 16 Let p = 15 + -8. Suppose -3*h + 4 = h. Calculate the greatest common factor of h and p. 1 Let b = 4875 + -4512. Let n = -77 + 110. Calculate the greatest common divisor of n and b. 33 Suppose -9*p + 63 = -2*p. Let q be (-20)/(-8) + 3/6 + 60. Calculate the highest common divisor of p and q. 9 Let c be (99/66)/(3/140). Let m(p) = -31*p - 11. Let a be m(-6). What is the greatest common factor of a and c? 35 Let b(v) = v**2 - 2*v - 6. Let i be b(-4). Let c(x) = -6*x + 279. Let q be c(42). What is the greatest common divisor of q and i? 9 Let v be (-173)/3 - 2/(-3). Let k = v + 81. Calculate the highest common factor of k and 264. 24 Let u(h) = h**2 - 22*h - 18. Let w be u(23). Calculate the highest common factor of 15 and w. 5 Let m(v) = v**2 - 6*v + 3. Suppose -2*p + 3 = 3*g, 0*g + 4*g = -3*p + 6. Let l be m(p). Let h be -1 - (4*8)/(-2). What is the highest common divisor of h and l? 3 Suppose -2*b = 2*b + 140. Let g = b + 53. What is the highest common factor of 2 and g? 2 Let q(y) = y**3 - 5*y**2 - 5*y + 3. Let c be (1 - (-18)/(-10))/(12/(-90)). Let f be q(c). What is the greatest common divisor of 18 and f? 9 Let l = 86 - 37. Let g(a) be the third derivative of -a**5/60 + 7*a**3/6 - 4*a**2. Let s be g(0). Calculate the highest common factor of s and l. 7 Let q be 442/7 - ((-2)/7)/(-2). Let z = q + -54. Suppose 4*m + m - x - 138 = 0, -4*x + 96 = 4*m. What is the highest common factor of z and m? 9 Let z be -126 + 121 + (25 + -1 - 1). Calculate the highest common factor of z and 192. 6 Let h = -357 - -381. Calculate the greatest common factor of h and 108. 12 Let l(u) = -u**3 + 14*u**2 + 29*u - 35. Let t be l(15). What is the highest common divisor of 35 and t? 35 Let x = -460 + 684. What is the greatest common factor of x and 21? 7 Let x be (48/10)/((-7)/(-35)). Suppose 2*p - x = -4*p. Let t = 16 - p. Calculate the highest common factor of t and 96. 12 Suppose -392 = -4*q + 2*q. Let t be 372/(-10) + (-3)/(-15). Let v = 65 + t. What is the highest common divisor of q and v? 28 Let x = -1419 - -1432. Let r(c) = 2*c**2 - 3*c + 4. Let k be r(3). What is the greatest common divisor of k and x? 13 Let l be (-12)/(-8)*(1 - -1). Let v = 0 + l. Suppose 2*q = q + 12. What is the greatest common factor of q and v? 3 Let a = 4 - -1. Suppose -31*n + 1 = -743. Suppose -a*k = -n - 11. What is the greatest common divisor of 63 and k? 7 Let a = 33 - 31. Suppose a = w - v - 10, 2*w - v = 24. Calculate the greatest common divisor of w and 30. 6 Let c be 5930/11 - 5/55. Calculate the highest common factor of c and 49. 49 Suppose -m + 5 + 4 = 0. Suppose -m + 19 = c. Suppose -c + 6 = -n. What is the highest common factor of n and 10? 2 Let l(u) = -u**3 + 11*u**2 + 18*u - 11. Let s be l(13). Let z = -79 - s. Suppose 0 = -w + 12 - 0. What is the highest common divisor of z and w? 12 Suppose -l = 4*c - 1885, 4*l - 1875 = -4*c + 5*l. Calculate the highest common divisor of c and 10. 10 Let a be (((-30)/4)/1)/(2/(-12)). Let h = a + -39. Calculate the greatest common factor of h and 6. 6 Let t be (-2)/(-6)*13*(66 - 33). Calculate the highest common factor of 13 and t. 13 Suppose 39*v - 2333 = 5467. What is the highest common factor of 225 and v? 25 Suppose 49 = 8*w - w. Suppose 168 = 4*b - 28. What is the highest common factor of w and b? 7 Let s be (-11 + 94)*(1 + 12*4). Calculate the greatest common divisor of s and 83. 83 Let a = 18 + -4. Suppose 3*j + a = 26. Calculate the highest common divisor of j and 4. 4 Let o(a) = a**2 - 15*a - 8. Let t(n) = 17*n**2 + n - 2. Let b be t(1). Let c be o(b). What is the highest common divisor of 12 and c? 4 Suppose 9*m = -0*m - m. Suppose -15*j + 9*j + 1386 = m. Calculate the greatest common divisor of j and 21. 21 Suppose -21 = -5*x - 6, -6261 = -5*p + 3*x. Calculate the highest common factor of p and 11. 11 Suppose -l - 1310 = -3*l - 3*q, 4*l + q - 2600 = 0. What is the greatest common divisor of 11 and l? 11 Let f(p) = -2*p**3 - 10*p**2 + 27*p + 14. Let u be f(-7). What is the greatest common divisor of u and 7? 7 Let p = -2 - -6. Suppose -11 = -x - 1. Let z be -2 + 0 - (7 - x). What is the highest common divisor of p and z? 1 Let g(a) = 10*a - 1. Let n be g(1). Suppose -256 = -4*z + 4*l, -4*l - 67 = 24*z - 25*z. What is the greatest common divisor of z and n? 9 Let r(j) = j + 1. Let f be r(0). Suppose -f + 86 = 5*u. Suppose -4*g = -3 - u. What is the highest common factor of 2 and g? 1 Let z(d) = -2*d + 22. Let b be z(10). Suppose -b*h + 4*q - 3*q = -41, 3*h + 2*q - 72 = 0. What is the greatest
{ "pile_set_name": "DM Mathematics" }
936, 15537, 26198, 40429? 58740 What is the next term in 1556161, 1556385, 1556609, 1556833, 1557057? 1557281 What is next in 4419337, 8838682, 13258027, 17677372, 22096717, 26516062? 30935407 What comes next: 5568424, 5568429, 5568434, 5568439, 5568444, 5568449? 5568454 What is next in -62554, -249375, -560750, -996685, -1557186, -2242259, -3051910? -3986145 What is next in 887, 7581, 25861, 61553, 120483, 208477? 331361 What is the next term in 254731, 254784, 254931, 255220, 255699, 256416? 257419 What is the next term in 13023080, 26046176, 39069282, 52092404, 65115548, 78138720, 91161926, 104185172? 117208464 What is the next term in 34320, 68436, 102360, 136092, 169632? 202980 What is the next term in 8598726, 17197452, 25796178? 34394904 What is the next term in -3478, -7560, -11666, -15808, -19998, -24248? -28570 What is next in 81241501, 162483004, 243724507, 324966010, 406207513? 487449016 What is next in 401551, 3212523, 10842439, 25700815, 50197167, 86741011? 137741863 What is next in -60574, -60706, -60904, -61168? -61498 What comes next: -55768, -111501, -167222, -222937, -278652, -334373? -390106 What is next in 16640, 66509, 149610, 265931, 415460, 598185, 814094, 1063175? 1345416 What is next in 3468693, 6937401, 10406109, 13874817? 17343525 What is the next term in 88744, 177521, 266316, 355135, 443984, 532869? 621796 What is next in 290967, 2327833, 7856469, 18622761, 36372595, 62851857, 99806433? 148982209 What comes next: 228, 113, -74, -327, -640, -1007, -1422, -1879? -2372 What comes next: 39195, 39890, 40585, 41280, 41975? 42670 What is next in -941, 23247, 88897, 216739, 427503, 741919? 1180717 What is the next term in 1737, 989, 249, -483, -1207, -1923? -2631 What comes next: 849, 2235, 4265, 6711, 9345, 11939, 14265, 16095? 17201 What comes next: -246640, -492516, -738392, -984268? -1230144 What is next in 125314, 126230, 127146, 128062? 128978 What is the next term in -606, 21, 1062, 2517, 4386? 6669 What comes next: -1800, -5335, -10588, -17559? -26248 What is the next term in -41773467, -41773459, -41773451, -41773443? -41773435 What is the next term in 1222762, 2445522, 3668282, 4891042, 6113802? 7336562 What comes next: 968, 1461, 1938, 2399, 2844, 3273? 3686 What comes next: 2079, 8463, 19165, 34185, 53523? 77179 What is the next term in -6995016, -13990030, -20985046, -27980064, -34975084, -41970106? -48965130 What comes next: 19856, 79266, 178232, 316754, 494832, 712466, 969656? 1266402 What is the next term in 1185260, 1185239, 1185216, 1185191, 1185164, 1185135? 1185104 What comes next: 6618653, 6618647, 6618637, 6618623? 6618605 What is next in 718263213, 1436526425, 2154789637? 2873052849 What comes next: -17318039, -34636120, -51954213, -69272324, -86590459, -103908624? -121226825 What comes next: 1880, 7553, 17030, 30311, 47396, 68285, 92978? 121475 What is next in -12650, -11780, -10360, -8414, -5966, -3040, 340? 4150 What is the next term in 283715, 283688, 283625, 283514, 283343, 283100? 282773 What comes next: -174, -725, -1430, -2295, -3326? -4529 What is next in -409023, -408726, -408429, -408132? -407835 What is next in -24812, -49647, -74522, -99455, -124464? -149567 What is next in -51715, -51694, -51649, -51574, -51463, -51310? -51109 What comes next: -3725237, -3725240, -3725243, -3725246, -3725249, -3725252? -3725255 What is the next term in 304755, 609525, 914293, 1219059, 1523823? 1828585 What is next in -394211, -393557, -392913, -392285, -391679, -391101, -390557, -390053? -389595 What is the next term in 57, 486, 1671, 3984, 7797, 13482? 21411 What is next in 4366, 4934, 5528, 6160, 6842? 7586 What comes next: -2643005, -10572017, -23787037, -42288065, -66075101? -95148145 What is next in 1916, 1791, 1586, 1301, 936, 491? -34 What comes next: 175964, 704761, 1586082, 2819921, 4406272? 6345129 What comes next: -34887, -69719, -104551, -139383, -174215, -209047? -243879 What comes next: 1696565, 1696558, 1696525, 1696454, 1696333, 1696150, 1695893? 1695550 What is next in 817, -1283, -3383? -5483 What is next in -1663, -3208, -4631, -5944, -7159? -8288 What is next in -830, -46, 2036, 6064, 12686, 22550, 36304? 54596 What is the next term in 90508, 90739, 90968, 91195, 91420, 91643, 91864? 92083 What comes next: -38208197, -38208203, -38208213, -38208227? -38208245 What is next in 2228, -3939, -20666, -53233, -106920, -187007? -298774 What is next in 11127, 19825, 28515, 37197, 45871, 54537? 63195 What comes next: 26697114, 26697113, 26697112, 26697111? 26697110 What is the next term in -86975, -86967, -86955, -86939, -86919? -86895 What comes next: -9787, -19453, -29131, -38821, -48523, -58237, -67963? -77701 What comes next: 489015, 978032, 1467049, 1956066? 2445083 What is next in -2476333, -2476335, -2476337, -2476339? -2476341 What comes next: -40299, -80612, -120917, -161214, -201503? -241784 What is next in -51, -228, -699, -1608, -3099, -5316, -8403? -12504 What is the next term in 6117180, 12234356, 18351532, 24468708, 30585884? 36703060 What comes next: 4764311, 4764305, 4764299, 4764293, 4764287? 4764281 What is the next term in 47713, 95468, 143219, 190966, 238709, 286448? 334183 What is the next term in 1611, 3263, 4939, 6657, 8435? 10291 What is the next term in 19356, 35421, 51438, 67383, 83232, 98961? 114546 What is the next term in 13267359, 26534717, 39802075? 53069433 What comes next: 222493, 222492, 222487, 222478? 222465 What is the next term in -30858822, -30858823, -30858824? -30858825 What is the next term in -1133, -4175, -9187, -16139, -25001, -35743, -48335? -62747 What comes next: 5595, 11213, 16853, 22515, 28199? 33905 What is next in -17395, -17172, -16949, -16726, -16503, -16280? -16057 What comes next: 5292, 42193, 142298, 337197, 658480, 1137737? 1806558 What comes next: -93, -256, -589, -1176, -2101, -3448, -5301, -7744? -10861 What is next in 106670, 106807, 107018, 107303? 107662 What comes next: 856, 188, -2022, -5780, -11092, -17964, -26402? -36412 What is the next term in 170848, 171308, 171768, 172228, 172688? 173148 What is the next term in 38830, 36921, 35012, 33103, 31194, 29285? 27376 What is next in 2083709, 2083691, 2083671, 2083649, 2083625, 2083599, 2083571? 2083541 What comes next: -27299, -56509, -85717, -114923, -144127? -173329 What is the next term in 17115, 37209, 57301, 77391? 97479 What is next in -5477, -5884, -6291? -6698 What is next in -872427, -1744693, -2616959, -3489225, -4361491, -5233757? -6106023 What is next in -6497867, -6497876, -6497885, -6497894, -6497903? -6497912 What is next in -1834, -3536, -5326, -7246, -9338, -11644, -14206, -17066? -20266 What is next in -148176, -296301, -444362, -592353, -740268, -888101, -1035846? -1183497 What is the next term in -4226, -8725, -13224, -17723, -22222, -26721? -31220 What is next in -52647323, -52647324, -52647325, -52647326? -52647327 What is next in 6409, 25596, 57567, 102316, 159837, 230124, 313171, 408972? 517521 What comes next: -5592, -12202, -18812, -25422? -32032 What comes next: 84406, 337642, 759702, 1350586, 2110294, 3038826, 4136182? 5402362 What is next in -27042, -216013, -728868, -1727547, -3373990? -5830137 What is next in -50331, -100583, -150833, -201081, -251327? -301571 What comes next: 61874765, 61874769, 61874773, 61874777, 61874781? 61874785 What comes next: 10091, 79780, 268923, 637244, 1244467? 2150316 What is next in -1610903, -3221771, -4832639, -6443507, -8054375? -9665243 What is next in 16209, 15514, 14833, 14172, 13537? 12934 What comes next: 178068, 178047, 177958, 177759, 177408, 176863, 176082? 175023 What comes next: -1912315, -1912305, -1912295, -1912285, -1912275? -1912265 What is the next term in -46455, -93144, -140061, -187200, -234555, -282120? -329889 What is the next term in -20183, -23205, -26227? -29249 What is the next term in -165452, -661540, -1488354, -2645894, -4134160, -5953152? -8102870 What is next in -358, -1003, -2356, -4645, -8098, -12943, -19408? -27721 What is the next term in 880561, 1760835, 2640511, 3519289, 4396869, 5272951, 6147235, 7019421? 7889209 What is next in -125, -1388, -2687, -4040, -5465, -6980? -8603 What comes next: -118406, -118608, -118810, -119012, -119214, -119416? -119618 What is the next term
{ "pile_set_name": "DM Mathematics" }
1 Let p be 1/2 - 30/4. Let r = -165 - -182. Let f = r - p. Solve 0 = 4*n - 2*w + f + 4, 3*n + 11 = -w for n. -5 Let g(a) = 2*a + 21. Let p be 6/24 - -2*(-74)/16. Let f be g(p). Solve 4*l + 4*v = -12, -2*l - f*v + 2 = 8 for l. -3 Let i(s) = s**2 - 5*s + 6. Let c be i(6). Let w(n) = -n - 9. Suppose 7*j = 2*j - 80. Let o be w(j). Solve -h + o*q = 4*q - c, -4*q = -2*h + 14 for h. -3 Let o be ((-29)/3)/(3/(-9)). Suppose -2*y = 10, -w = w - 5*y - o. Let z = 3 + w. Solve 4*j = -z*t + 11, -2*j + 3*j = -4*t for t. -1 Suppose -17*p + 15*p = -8. Suppose 0*u - p*u + 16 = 0. Solve 3*y + 11 = -3*t + u*y, -2*y - 14 = 3*t for t. -4 Let f = -1 + -27. Let x be ((-2)/8)/(1/f). Suppose -x*v - d = -3*v - 8, -4*d - 7 = 3*v. Solve 2*b + k - 18 = -3*b, -3*k - v = -4*b for b. 3 Suppose -2*n = -4*o - 16, 3*n + 13*o - 15*o - 16 = 0. Solve 0 = -n*g + 5*r + 5, g - 4*r = -0*g + 4 for g. 0 Let g = 15 - 10. Suppose 5*r = 2*r + 6. Suppose -8*k - 3*v + 52 = -6*k, -109 = -5*k + 3*v. Solve 3*x + g*a = -k, -r*x + 11 = 5*a + 33 for x. -1 Let a(m) = 28*m + 2. Let c be a(1). Let w = c - 26. Solve -y + 10 = 4*b + y, 0 = w*b - 2*y - 22 for b. 4 Let f(g) = 2*g**2 + 9*g + 6. Let w be f(-4). Solve -5*d = -0*d + 5*s - 20, 2 = w*s for d. 3 Suppose -n + 19 = w, 0 = -0*n + 3*n - 5*w - 17. Suppose -5*f + 10 = -5*c - 10, -3*f + c + n = 0. Solve -f*y - 2*o + o + 17 = 0, -3*o = -3*y + 21 for y. 4 Suppose -3*p - 1 + 7 = 0. Suppose 14 = i + p*i - 2*j, 5*i + 4*j = 16. Solve 2*h + 0*h + 10 = 0, 0 = -4*c + i*h + 8 for c. -3 Suppose 5*r = -20, 0*p + 4*p - r - 24 = 0. Solve t = -2*t - 4*u - 5, 20 = -t - p*u for t. 5 Let i = 609 - 593. Solve 4*n - 12 = 6*n + 2*j, -4*n + 4*j = -i for n. -1 Let p(k) = k**2 + 4*k - 17. Let z be p(-7). Let u be z/(-18) + 1 + (-14)/18. Solve 5*f + 5*h - 5 = -u*f, -4*f + 5*h = -22 for f. 3 Let u(z) = -z - 4. Let m be u(3). Let b be (-815)/(-35) - (-2)/m. Suppose -h - 4*w + 23 = 0, 3*h + 2 - 1 = 2*w. Solve -5 = -5*s - 5*x, 4*s - 9 - b = h*x for s. 5 Let d(a) = -2*a**3 - 8*a**2 + 9*a. Let x be d(-5). Suppose -5*l - 8 = -r, -x*r + 18 = -0*r - 3*l. Solve 5*p - 16 = 4*u, r*p + 0*p = -4*u - 16 for u. -4 Let v be (-1 - 2/(-3))*-15. Suppose 3*l - 4*h - 22 + 6 = 0, 3*h - 27 = -l. Let f be (0 - 3/(-2)) + 17/34. Solve -f*q = v*x - l - 5, -2*x = 3*q + 2 for q. -4 Suppose 0 = 7*a + 135 - 156. Solve l = a*z - 17, -3*z - 1 = l - 14 for l. -2 Let b be 10/(-105)*3 - (-900)/210. Solve b*z = -4, 0*q - 4*z = 4*q + 20 for q. -4 Let v(b) = 2*b**2 - 1737*b - 3*b**2 + 1732*b + 16. Let p be v(-7). Solve 2*t = 3*i - 2*t + 7, -2 = p*i - 4*t for i. -5 Let s be 2/6 + 19/(-3). Let z be s/3 + 1 - -11. Suppose -2*b + 6*m = 12*m - 28, -3*b + m = -2. Solve d = -g - 0*g + z, b*d = -3*g + 25 for d. 5 Let f(s) = -s**3 + 4*s**2 + 7*s - 5. Let m be f(5). Solve -5*u = -m, 2 + 17 = -5*v + 4*u for v. -3 Let l be (0/1)/(2 - 3). Suppose l*w + 6 = -3*w. Let y = w - -8. Solve 3*u - 5*r + 17 = 0, u + u = 2*r - y for u. 1 Let z = -5 + 9. Suppose -5 - 3 = -z*b. Suppose -73*f = -4*n - 68*f + 9, 5*f = -5*n. Solve -b = -4*v - s - 4*s, -v = 2*s + n for v. 3 Suppose -c + 4*c = 5*r + 29, -5*r - 32 = -4*c. Suppose 5*s - 55 = -4*d, -c*d + s + 46 = -0*d. Solve -4*j - d = 5*f + j, -3*f - 4*j = 11 for f. -1 Suppose 7 = -3*f + i - 5*i, -8 = 2*f + 2*i. Let s = f - -23. Let j = -9 + s. Solve 3*m = -3*k + 3, -j*m = k - 2*k + 19 for k. 4 Let k(j) = 9*j - 52. Let p be k(6). Solve -5*c + 0*g + 2*g + 21 = 0, -p*g + 4 = 0 for c. 5 Suppose 5*v + 1 = -n, 2*n - 57 = 4*n - v. Let y be (-9)/2*n/39. Solve -3*d + 4 = -2*i - d, 0 = y*d for i. -2 Let s be 0/(-3 + -2) - -4. Solve 2*q = s*q + 8, 5*q = -2*u - 22 for u. -1 Suppose 0 = 5*d, -3*s - 5*d = -0*s + 75. Let h be 2/(-1 - 35/s). Solve 2*y = -h*f - y, 0 = -4*f + 4*y - 32 for f. -3 Suppose 2*s - p + 8 = -5*p, 3*p = -s - 8. Suppose -f - 3 = -c, -5*f - c + 11 = -2*f. Let m = 11 + -7. Solve i - m = d - f, d + i = s for d. 1 Suppose -7*b = -2*b - 15. Suppose y = -38*y. Suppose y = -b*l + 15. Solve 0 = l*o - 2*z + 19, o - 5*o = z + 23 for o. -5 Let z(s) = -4 + s + 8*s**2 + 1 + 4. Let o be (12*(-3)/(-36))/(-1 - 0). Let f be z(o). Solve 2*v + f = 3*x, v - x - 3*x = -4 for v. -4 Let g(y) = 7*y**2 + 8*y - 26. Let h be g(2). Solve -5 - 1 = -3*o, 4*r + 3*o - h = 0 for r. 3 Suppose 2*d - 32 = -14*d. Solve -n + 4*b = -10, 5*n - d*n + 5*b + 4 = 0 for n. 2 Let u(f) = -f**2 + 13*f + 36. Let v be u(15). Suppose r + v*r = 56. Solve -3 = 5*p - 2*c, 0 = -4*p + r*p + 2*c - 12 for p. 1 Suppose 3*g - 28 = j, -2*g + j + 7 = -12. Solve -8*a + 4*a + s + 21 = 0, s = -2*a + g for a. 5 Let p be (16 + -4 - 2) + -3. Let f = -13 - -9. Let v be 2 - (-1 + f) - 3. Solve 0 = -v*r - 3*k - 2 + 12, -2*k = 3*r - p for r. 1 Let a(q) = 3*q - 4. Let r be a(2). Suppose k + 5*f + 3 - 10 = 0, -r*k - 3*f + 7 = 0. Let x = -11 - -20. Solve -3*w - 7 - 8 = 0, -k*l + 3*w = -x for l. -3 Let q = 111 + -104. Solve -r = -c, 6*c - 5*r + q = 8*c for c. 1 Let u(g) = 2*g**2 + 2*g. Let z be u(2). Suppose -16*k = -12*k + 64. Let t = k + 19. Solve 3*c + 12 = t*i, c + i - z = 4*c for c. -4 Let o = 31 - 25. Solve -2*i - 6*x + o = -2*x, 5*x - 7 = -2*i for i. 1 Let t(x) = 5*x**2 - 67*x + 28. Let g be t(13). Solve 3*m - 4*n = -g*m - 6, -m + 4*n = 14 for m. 2 Let v be (-4)/8*(-3 + 4 + -11). Solve 5 = s + 3*q, -2*s - v*q + 0*q + 8 = 0 for s. -1 Suppose -j + 59 = 41. Solve 4 = 2*a, -a = 4*p - 2*a - j for p. 5 Let s be (36/6)/((1 + -2)*-2). Solve 0 = -o - g + 4 - 5, -2*g = -s*o - 18 for o. -4 Let r(z) = 3*z**2 + 21*z - 4. Let k(a) = 2*a**2 + 11*a - 2. Let m(u) = 5*k(u) - 3*r(u). Let h be m(8). Solve -4*p = w + 12, h*p + 4*w - 5*w = 0 for p. -2 Let o = 13 + -12. Let d be (-4)/((-1)/o) + -1. Solve 2*l + l = 0, -2*y = -d*l + 8 for y. -4 Let z be (-174)/(-1218) - 27/(-7). Let m be (-22)/(-4) + (-3)/6. Solve m*v + 4*u = 0, 6 = z*v - 2*u + 32 for v. -4 Let v(i) = -i + 21. Let g be v(12). Suppose -g*f = -7*f. Solve -4*j - 5*u = -23, -j + 2*u = 4 - f for j. 2 Suppose -4*t + 6 + 6 = 0. Suppose -4*n + 102 = 2*s, t*n + s = -3*s + 79. Let x = n - 25. Solve -5*h + 3*u + 13 = x, 2*u = 5*h + u - 11 for h. 2 Let i = -22 + 20. Let h be 0/i*(-3)/(-9). Suppose 5*d - 80 = 5*u, -20 = -2*d - u - h*u. Solve 3*r + 3*b = -27, -2*b - d = b for r. -5 Suppose -6*m - 24 - 48 = 0. Let x = -8 - m. Solve -2*h - 3 = -5*s, -x*h - 24 = 4*s + h for s. -1 Let v = -1764 + 1767. Solve -5*d = 2*h - 23, 5*d + v*h = 2*h + 19 for d. 3 Let a be 2/(3 + 5) - (-1)/(-4). Let y(v) = 2*v - 5. Let g be (-24)/(-4) - (1 + 1). Let n be y(g). Solve d + n*w - 5 = -a*d, -4*w = 0 for d. 5 Let x(o) = 9*o**2 - o. Let b be x(-1). Let q(k) = 4*k + k - 16 - 7*k + 0*k. Let a be q(-18). Solve -2*y - 3*n + b = 0, 5*y - a = y - 4*n for y. 5 Let z = 205 - 203. Solve 0 = k + g + g, 0 = -z*g - 4 for k. 4 Let j be (-80)/(-80) - (-2 - -1). Solve -3*z - 1 = -3*p + 8, j*p = -5*z - 1 for p. 2 Let y = -6 - -8. Suppose -3*f = -3*t - 39, 0 = f - t - t - 17. Let l = f - 9. Solve -o - o - 5*n + 31 = l, y = -o + n for o. 3 Let g = -2 + 2. Suppose 2*l + 3*l = g. Solve 3*d = 5*m + 12, m = -2*d + 8 - l for m. 0 Let q(s) = -7*s + 61. Let t be q(8). Solve -x - 7 = 2*n, -7*n - t = -6*n + x for n. -2 Let b(a) = -a - 7. Let r be b(-9). Let d be 11 + 1/r*-6. Solve -d = -3*o - 5*n, -5*o - 10 = 3*n - 2 for o. -4 Let i(p) = p**3 - 18*p**2 - 3*p + 42. Let f be i(18). Let h = f - -17. Solve -5*v + 3*v = -4*y + 2, -v - h*y + 6 = 0 for v. 1 Let z be -6 + (3 - 40/15)*30. Solve -3*y = z*n - 4, -5*y - 2*n + 3*n = 24 for y. -4 Let m be (9 + -2 - 8)*-4. Solve b - 16 = -2*h - 3*b, 2*h - m*b + 24 = 0 for h. -2 Let n = 2 + -1. Let m = 4 - n. Let t = 9285 + -9259. Solve -t = -m*j - 2*j - 4*a, a = 4 for j. 2 Let w be ((-2)/2 + 2)*31. Let m be 44/2 - -5 - 6. Solve -f + m = 5*b, 5*b - 3*f - 6 = w for b. 5 Let q be -6 + 0 - 3/(-2)*-2. Let w be (3/q)/((-1)/12). Solve -w*a - i = 11, -31 = 7*a - 3*a - 3*i for a. -4 Suppose -2*w = v + 2, 65*w - 66*w + 13 = 4*v. Solve 2*u = 4*f + 14, 4 = -v*f + 5*u - 1 for f. -5 Suppose 3*p - 6*p = -36. Let c be 8/p*(2 - -4). Suppose c*a - 8*a = 0. Solve -4*v = -a*h + 4*h, 0 = -3*v - h - 8 for v. -4 Let c(a) = -5*a + 2*a + a**2 + 0*a + 3. Let n be c(3). Suppose n*f - 10 = 8. Solve 2*m = 4*p - 6, 2*m - 8 = f*m - 4*p for m. -1 Let w = 49 - 49. Solve w = 3*n - 9, 3*x - 4*n = -0*n - 9 for x. 1 Let v(k) = k + 32. Let g be v(-30). Solve -g*s = -2*f -
{ "pile_set_name": "DM Mathematics" }
rom bzbzzzbbbzbbzz. What is prob of sequence bbb? 5/52 Three letters picked without replacement from {x: 12, q: 1, j: 3}. What is prob of sequence qxj? 3/280 Three letters picked without replacement from eceeeececccec. Give prob of sequence ecc. 35/286 What is prob of sequence qlln when four letters picked without replacement from lnqqfnoqnqqqlnq? 1/585 Calculate prob of sequence fdz when three letters picked without replacement from {d: 2, p: 3, z: 4, o: 1, f: 1}. 4/495 Three letters picked without replacement from aaalaalaalaaaakalll. What is prob of sequence lla? 20/323 Calculate prob of sequence yyy when three letters picked without replacement from {y: 10}. 1 Calculate prob of sequence pph when three letters picked without replacement from {a: 3, p: 3, v: 1, b: 1, h: 3}. 1/55 Two letters picked without replacement from eykwwbwenwewb. Give prob of sequence kb. 1/78 Two letters picked without replacement from {y: 1, n: 6, o: 2, d: 2, g: 3}. What is prob of sequence on? 6/91 What is prob of sequence njmm when four letters picked without replacement from jnnnmmnmpjmmpppjmj? 1/153 Calculate prob of sequence mxhg when four letters picked without replacement from hjxgmbbg. 1/840 Calculate prob of sequence qgkw when four letters picked without replacement from kqznkkznwzgwzznww. 1/4760 Calculate prob of sequence rey when three letters picked without replacement from kggkkeyrgy. 1/360 What is prob of sequence ss when two letters picked without replacement from {d: 5, x: 1, s: 4, l: 1}? 6/55 Two letters picked without replacement from {o: 5, i: 7, p: 7}. What is prob of sequence ip? 49/342 Two letters picked without replacement from srrsrpprsqrrpr. Give prob of sequence rs. 3/26 Calculate prob of sequence gggg when four letters picked without replacement from {g: 6, a: 2}. 3/14 Calculate prob of sequence qq when two letters picked without replacement from {q: 6, t: 4, m: 1, f: 4, p: 2}. 15/136 Calculate prob of sequence wyw when three letters picked without replacement from {y: 7, a: 6, w: 6}. 35/969 Two letters picked without replacement from {t: 3, s: 1, v: 2, k: 1}. Give prob of sequence tt. 1/7 Two letters picked without replacement from kkkkkkk. What is prob of sequence kk? 1 What is prob of sequence ihi when three letters picked without replacement from {h: 9, i: 10}? 45/323 What is prob of sequence qnq when three letters picked without replacement from {q: 11, n: 5}? 55/336 What is prob of sequence pppp when four letters picked without replacement from {p: 5, q: 2}? 1/7 What is prob of sequence fq when two letters picked without replacement from urxtuuqftttrtqfrtrr? 2/171 What is prob of sequence udjd when four letters picked without replacement from udduuuduruuydjdddyy? 49/15504 Calculate prob of sequence jj when two letters picked without replacement from {j: 11, w: 1, o: 1}. 55/78 Two letters picked without replacement from {r: 1, f: 1, k: 3, o: 4, c: 1, e: 2}. Give prob of sequence ee. 1/66 Calculate prob of sequence wqod when four letters picked without replacement from {q: 1, w: 5, o: 7, d: 1, u: 5}. 35/93024 Calculate prob of sequence ddpg when four letters picked without replacement from {d: 4, g: 6, f: 2, o: 2, c: 1, p: 2}. 3/1190 Four letters picked without replacement from trllrt. Give prob of sequence tlrl. 1/45 Calculate prob of sequence xq when two letters picked without replacement from {g: 8, q: 4, x: 1}. 1/39 Three letters picked without replacement from ickkkickkskkkiiscck. What is prob of sequence isi? 4/969 Three letters picked without replacement from {q: 1, b: 1, e: 2, c: 1, d: 1, p: 1}. What is prob of sequence ebq? 1/105 Two letters picked without replacement from {l: 8, j: 3, g: 3, s: 3, k: 2}. Give prob of sequence ks. 1/57 Two letters picked without replacement from amkmmtxdmaaxatkkmm. Give prob of sequence md. 1/51 Calculate prob of sequence xai when three letters picked without replacement from {r: 2, t: 2, i: 2, a: 3, x: 4}. 2/143 Calculate prob of sequence hp when two letters picked without replacement from {c: 1, f: 2, p: 1, h: 1}. 1/20 Calculate prob of sequence mmzm when four letters picked without replacement from {z: 5, m: 3}. 1/56 What is prob of sequence aa when two letters picked without replacement from {d: 1, f: 2, a: 7}? 7/15 Calculate prob of sequence dpd when three letters picked without replacement from cdddpccdd. 5/126 Two letters picked without replacement from {i: 2, z: 5}. Give prob of sequence zz. 10/21 Calculate prob of sequence ch when two letters picked without replacement from hdesceh. 1/21 Calculate prob of sequence bvn when three letters picked without replacement from qdqqqqqdvvqvbnbqq. 1/680 Two letters picked without replacement from {v: 4, g: 1, s: 1, j: 1, o: 1}. Give prob of sequence jg. 1/56 Calculate prob of sequence wll when three letters picked without replacement from llwfl. 1/10 What is prob of sequence prrr when four letters picked without replacement from rrpppprpprrprr? 35/572 What is prob of sequence ffff when four letters picked without replacement from ffffffffff? 1 Calculate prob of sequence pd when two letters picked without replacement from {d: 4, p: 1, t: 1, l: 1, y: 2}. 1/18 What is prob of sequence okn when three letters picked without replacement from {o: 6, k: 4, n: 2}? 2/55 Calculate prob of sequence mmm when three letters picked without replacement from mmmpmmmmmmmmmmmmmmm. 16/19 Three letters picked without replacement from xexbe. Give prob of sequence bxx. 1/30 Three letters picked without replacement from yayyarjayyp. What is prob of sequence jaa? 1/165 Three letters picked without replacement from {z: 10, u: 4}. What is prob of sequence zuu? 5/91 Three letters picked without replacement from {z: 3, h: 5, b: 2, s: 2, c: 6}. Give prob of sequence bcc. 5/408 What is prob of sequence gxe when three letters picked without replacement from {g: 1, x: 5, z: 1, e: 2, i: 1, m: 5}? 1/273 Three letters picked without replacement from nniiqoiniinii. Give prob of sequence iiq. 7/286 Two letters picked without replacement from {z: 1, c: 17}. What is prob of sequence zc? 1/18 Two letters picked without replacement from {w: 6, n: 3, q: 3, b: 1}. What is prob of sequence nq? 3/52 What is prob of sequence ggtt when four letters picked without replacement from {t: 5, g: 2}? 1/21 Calculate prob of sequence kj when two letters picked without replacement from {j: 1, k: 6, w: 3, a: 1, g: 1, l: 1}. 1/26 What is prob of sequence bph when three letters picked without replacement from {p: 5, g: 1, r: 3, b: 1, h: 1, o: 1}? 1/264 Three letters picked without replacement from {v: 4, e: 2}. What is prob of sequence vee? 1/15 What is prob of sequence vp when two letters picked without replacement from xwxvwvwhvwwhxwxkpwwx? 3/380 Three letters picked without replacement from {z: 3, q: 2, w: 3, t: 2, k: 4, v: 4}. What is prob of sequence tqz? 1/408 Three letters picked without replacement from {e: 1, r: 2, w: 1, o: 1, k: 2, j: 1}. Give prob of sequence rwo. 1/168 Calculate prob of sequence zew when three letters picked without replacement from {f: 2, e: 1, u: 1, w: 4, m: 2, z: 2}. 1/165 Calculate prob of sequence zjpu when four letters picked without replacement from upzzzjupuozzuub. 5/3276 Two letters picked without replacement from {b: 7, n: 3, l: 2}. What is prob of sequence lb? 7/66 What is prob of sequence btab when four letters picked without replacement from {i: 1, t: 1, b: 3, x: 1, a: 1}? 1/140 Two letters picked without replacement from {u: 1, x: 3, z: 2, a: 6}. Give prob of sequence aa. 5/22 Three letters picked without replacement from fffffccfffffccccff. What is prob of sequence fcf? 11/68 What is prob of sequence ddkk when four letters picked without replacement from {d: 2, k: 2}? 1/6 Four letters picked without replacement from {b: 14, r: 4}. Give prob of sequence rbbr. 91/3060 Calculate prob of sequence hu when two letters picked without replacement from {u: 1, k: 1, h: 2}. 1/6 Two letters picked without replacement from {z: 1, c: 12, n: 3}. What is prob of sequence cn? 3/20 What is prob of sequence hhfl when four letters picked without replacement from {f: 1, l: 9, h: 10}? 9/1292 Four letters picked without replacement from {h: 5, w: 6, c: 4}. Give prob of sequence www
{ "pile_set_name": "DM Mathematics" }
-z*c + 9*c + 191. Is c prime? True Suppose 20 = -4*k - k. Is (-13581)/18*(16/6)/k composite? False Suppose u + 2*n + 168 = 4*u, 5*u + 5*n - 255 = 0. Suppose -49*b = -u*b + 1175. Is b a composite number? True Let z = 774 - 410. Let o(m) = m + 1. Let l be o(-1). Suppose -4*t + z = -l*t. Is t a prime number? False Let p = 709 - 505. Suppose 0*y + y = 93. Let m = p - y. Is m a composite number? True Suppose -839 + 3 = -4*p. Let d = 2 + p. Is d a prime number? True Let m = -12 + 14. Suppose m*c - 290 = 3*c. Let y = c + 625. Is y prime? False Suppose -16*g + 13*g = -10299. Is g prime? True Suppose -126843 = -4*m + 4*v + 2549, -3*m = 2*v - 97069. Is m composite? False Is (-3)/(15/(-23396)) + (-11)/55 prime? True Let k(z) = z**3 + 16*z**2 - 17*z. Let d be k(-17). Suppose -4*p = -d*p - 2708. Is p prime? True Let w = 6962 + -1324. Is w composite? True Let f = 7774 - 4115. Is f prime? True Let n(v) be the second derivative of 11*v**3/3 + v**2/2 + 3*v. Suppose 0 = -0*t + t - 1, -t = -2*o + 7. Is n(o) a prime number? True Let q(g) = 3589*g - 68. Is q(1) prime? False Let h(c) = -230*c - 53. Let u(f) = -116*f - 27. Let z(i) = -6*h(i) + 11*u(i). Is z(10) a composite number? False Let g = -40378 - -69269. Is g prime? False Suppose 7*l - 48 = 3*l. Suppose 5*i + 43 + l = 0. Is 8/(-44) + (-816)/i a composite number? True Let q = 57 - -128. Is (q/(-4))/(10/(-40)) prime? False Suppose 163*y = 165*y - 5014. Is y a prime number? False Let t = 0 - 15. Let w = 52 + t. Is w a composite number? False Let m = -3325 + 1997. Let q = m - -2493. Is q a prime number? False Suppose -66010 = -y + 3*x, 4*y + 3*x = 398321 - 134266. Is y prime? False Suppose 15*o = 19*o - 12812. Is o prime? True Let w(b) = 4*b - 64. Let k be w(17). Suppose -4 = -4*r + k, -619 = -3*h + 4*r. Is h composite? True Let u(p) = 4147*p - 8. Is u(3) a prime number? True Suppose -108*d + 6654 = -106*d. Is d a prime number? False Suppose 0 = -5*c + 3*j - 63, j + 2*j - 3 = 0. Let k(f) = -2*f - 7. Let g be k(6). Let n = c - g. Is n a composite number? False Suppose -10*h + 0*h = -23330. Is h prime? True Let w = -6 + 10. Suppose -w*m + 1739 = -1521. Suppose 0 = l - 6*l + m. Is l a prime number? True Let v = 26 + -16. Is 638/((-5)/(v/(-4))) a composite number? True Suppose 9*z = 4*z + 20. Is 2 - -37*4/z a composite number? True Is -5 + (3438 - (-3 + 3)) prime? True Let x be ((-5)/4)/((-3)/12). Suppose 0 = q - 1, -x*c + 1160 = -4*q - 1931. Is c a composite number? False Suppose a + 5*k = 4*k + 12608, -37827 = -3*a - 2*k. Is a prime? True Is ((-112984)/16)/(3/(-6)) prime? False Let t be (-502)/4 - 24/(-16). Suppose 4*r = -32 + 1160. Let k = r + t. Is k a prime number? False Suppose -8 = 4*d - 6*d. Let z(l) = -l**3 + 32*l**2 - l + 41. Let g be z(32). Is ((-6)/g)/(d/(-78)) a prime number? True Let l = 189893 + -105066. Is l a prime number? True Suppose 3*w = 2*w + 3. Suppose 4*c = -4*o, -16 = -7*o + w*o + 4*c. Suppose o*b - 2*n - 417 = -3*b, 5*n - 78 = -b. Is b a prime number? True Suppose -3*n + 5*j = -3876 - 205, -n = 3*j - 1379. Let d = 2994 - n. Let r = 2768 - d. Is r a prime number? False Let z(f) = 120*f**2 + 22*f - 11. Is z(3) composite? True Suppose 0 = 2*a + 3 - 165. Let p = -209 + a. Let z = 217 + p. Is z a composite number? False Suppose -15020 = -4*n + 16136. Is n composite? False Let k = 1084 + 861. Let m = k - 758. Is m composite? False Let g = -1262 - -2535. Is g a prime number? False Let f(v) = 11 + 47*v - 8 - 7*v**3 + 4*v**2 - 41*v. Is f(-6) a composite number? True Suppose 2*x + 4*n - 702 = 0, -x - n + 306 = -46. Is x a prime number? True Suppose 0*l - 1348 = -l - 2*a, 0 = 4*l + 4*a - 5372. Suppose 6*i - 4*c - l = 4*i, -4*c - 659 = -i. Is i a prime number? False Is -3 - -956 - (-3)/3 - -5 prime? False Let a(q) = 18*q - 2 + 6*q + 31*q. Let f(z) = z + 6. Let g be f(-5). Is a(g) prime? True Let l = 92 + -87. Suppose 5*f = -2*c + 1042, l*c - 3*f + 4*f = 2559. Is c a composite number? True Is ((-4)/6)/(14/(-1147377)) a prime number? False Suppose 0 = -30*q + 3141722 + 307228. Is q a prime number? False Let v be 0/(-3) + 1 + 3. Let u = -4 + v. Suppose w + 0*w - 211 = u. Is w prime? True Suppose -2*s - 2*b + 163556 = 0, 3*s - b - 166858 = 78480. Is s prime? False Let z = 16 + -18. Let k be 42/12 - (-3)/z. Suppose 0 = -k*c - 8, 3*s = 3*c + 100 + 86. Is s a composite number? True Suppose 1 - 11 = -2*k. Suppose 4*m + 2*t = 3*t + 672, -k*t = 3*m - 481. Is m composite? False Suppose -16 = -3*o + x, -2*x = -5*o - 7*x + 20. Let z be (-6 - 0)/(-4 + 3). Suppose z = -o*j + 6*j. Is j a composite number? True Let z(m) = 7535*m + 88. Is z(5) a prime number? False Suppose -3*n = -6*n + 1758. Let y = n - 321. Is y a prime number? False Let t(p) = -475*p + 4. Let x = -66 - -65. Is t(x) composite? False Suppose -6*c = -10*c - 4. Let x be (2 - -1)*6/(-9). Is c/x + (-49)/(-2) a prime number? False Let g be (-12828)/(-5) - (-2)/5. Suppose -3*v = -v + g. Let b = 3178 + v. Is b prime? False Suppose -212*z = -210*z. Suppose 617 = 4*m + m + 3*h, 5*m - 3*h = 623. Is (z/2 - 1) + m prime? False Let s be 39/65*10/3. Suppose -j - 2307 = -2*v - 6*j, 2*j - s = 0. Is v a composite number? False Is (-28502 + 0)*(-33)/66 a composite number? False Suppose -3*b + 7*b - 6428 = 0. Suppose -5*n = -948 - b. Suppose -4*p + 133 = -n. Is p a prime number? False Suppose 3*f + 8987 = 4*h, 11*h = 8*h - 3*f + 6735. Is h a composite number? True Suppose -2*c + 661 = -5*s + 4*s, 0 = c - 2*s - 329. Is c prime? True Let f(p) = -p**3 - 9*p**2 - 8*p. Let m be f(-8). Let b = m - 0. Suppose 2*n - 2*c = 364, -3*n + c + 4*c + 536 = b. Is n a prime number? False Let c = 28 - 19. Is 1*(-2 + 3) - (-331 + c) a composite number? True Suppose d - 2*k = 470 + 1, 2*k - 2415 = -5*d. Let i = 820 - d. Is i composite? True Let q be 0 - (0 - -2 - 1). Let u = q + 5. Suppose 115 = 5*i - 2*x, -2*i = -u*x - 67 + 21. Is i a composite number? False Let d be (-3)/9 + -2 + 14/6. Suppose -3*b = 2*c - 2368, -4*c + 0*b + 2*b + 4752 = d. Is c a composite number? False Let t = 1111 - 772. Is 7/(229/t + 6/(-9)) prime? False Suppose -51*q + 20477 = p - 49*q, q - 40942 = -2*p. Is p a prime number? False Suppose 0 = -4*j + s + 35697, -2*j + j + 4*s + 8943 = 0. Is j prime? True Let t be ((-2)/2)/(-6 + 17/3). Suppose 5*b - t*b = -4*h + 136, 4*b + 91 = 3*h. Is h prime? False Suppose 10*c - 13*c = -16869. Is c a prime number? True Suppose 0 = -4*u + 3*k + 18995, -3*k - 6 = -15. Is u composite? False Let m be 1 + (-15)/((-4)/(-4)). Let j = m + 14. Suppose 2*w - d = -5*d + 174, -3*w - 3*d + 267 = j. Is w a composite number? True Suppose -3*u = 1 + 38. Let i = u + 13. Let d(s) = -s**2 - s + 335. Is d(i) a composite number? True Let g = -29773 - -43718. Is g a composite number? True Suppose 0 = -4*k - k + 660. Suppose 7*u = 3*u + k. Is u a prime number? False Let v = -264 + 1274. Let m = v + -655. Is m prime? False Let r(c) = 950*c + 17. Is r(4) composite? True Let m = 10 + -3. Suppose -m*y + 4*y + 15 = 0. Let h(v) = 7*v - 4. Is h(y) a prime number? True Let z be 1222/(-2)*(6 + -7). Let y = z - 25. Is y prime? False Let v(k) = 5*k**3 - k**2 - 3*k - 4. Let j be (3/(-5))/((-2)/10). Is v(j) a prime number? True Suppose -4*j = 3*g - 18 - 7, 3*g - 2*j - 37 = 0. Let i = -5 + g. Let n(s) = 2*s**2 - 2*s + 9. Is n(i) prime? False Let c(g) = -g**3 + 17*g**2 - 7*g - 49. Let y be c(20). Let w = 2020 + y. Is w composite? False Suppose 14 = 5*r - 86. Suppose -l + 63 = -r. Suppose -3*v + 28 = -l. Is v a composite number? False Suppose 379*v - 384*v = -39145. Is v a prime number? True Suppose -25*g - 7*g = -230624. Is g a prime number? True Let n(h) = -5 - 108*h**2 + 110*h**2 + 18 + 8*h. Let a be 0/(-5) + (0 - -10). Is n(a) a prime number? True Let z(n) = -48*n**3 - 7*n**2 - 4*n + 11. Is z(-6) composite? False Let f(b) = -3*b + 8. Suppose -4*n + 3*y - 43 = 0, y = -2*n + 2*y - 23. Is f(n) a prime number? True Let o(d) = -3*d**3 + 16*d**2 - 23*d - 73. Is o(-15) a composite number? False Suppose -16*b + 13*b + 2*j = -26793, j + 44662 = 5*b. Is b a prime number? True Suppose -4*k + t + 3558 + 11568 = 0, 0 = -4*k + 4*t + 15120. Suppose k + 4823 = 5*v. Is v a prime number? True Let x(a) = 8*a**2 - 15*a + 95. Is x(6) prime? True Let c be -3*(2 - 3/9). Suppose -3*a + 4 - 17 = -2*j, 3*j + 2*a = 0. Is 6 + c - (-884)/j a
{ "pile_set_name": "DM Mathematics" }
ive p. -26 Express -219*p**2 - 4*p**3 + 39*p**4 + 220*p**2 + 10*p + 6 - p - 5 in the form x*p**3 + y*p + w*p**4 + a*p**2 + z and give a. 1 Express (-2 + 2 + 6 + (8 - 10 + 8)*(3 - 4 + 3))*(-99 + 117*m**3 + 99) in the form s + a*m**2 + v*m**3 + z*m and give v. 2106 Express -1074*c**2 - 78 + 2174*c**2 - 1084*c**2 as x*c + z + v*c**2 and give v. 16 Express -13 + 91788*f - 91784*f + 16 + 72*f**3 as o*f**3 + p + d*f + b*f**2 and give p. 3 Rearrange -278 + 2718*r - 282 + 560 + 1460*r to the form t + f*r and give t. 0 Rearrange 16364*r**3 - 111*r - 16365*r**3 + 360 - 330 to the form k*r + j*r**2 + t*r**3 + q and give k. -111 Express (3071*z - 1181*z - 1068*z)*(3*z + z - 6*z)*(-10*z - 6 + 6) as y*z**3 + u + n*z**2 + q*z and give q. 0 Rearrange 398*l**2 + 5*l - 402*l**2 - 476*l - 336*l to the form x + i*l**2 + t*l and give t. -807 Express (w - 5*w + w)*(326 + 89 + 23) as x*w + p and give x. -1314 Express 1265*r + 4 + 1003*r + 1388*r - 2 in the form b*r + y and give y. 2 Rearrange (-1240 - 1222 + 2441)*(-23*b**4 - b**4 - 4*b**4) to the form m*b**2 + u*b**4 + s*b + d + h*b**3 and give u. 588 Rearrange -108892*b**2 + 4*b**3 - 5*b**3 - 556*b + 1 + 108892*b**2 to z + l*b**3 + f*b + k*b**2 and give z. 1 Rearrange 2051*s - 271*s + 625*s + 252*s + 249*s to the form q + n*s and give n. 2906 Express (678*u**2 - 50*u**2 + 1190*u**2)*(2 + 0*u**2 + 80*u - 84*u - u**2) in the form j*u**2 + a*u**4 + s*u**3 + z + o*u and give j. 3636 Rearrange -43*n - 1645*n**2 - n**4 + 241 + 1648*n**2 + 42*n to i + j*n**4 + v*n**3 + d*n**2 + q*n and give d. 3 Express -2412*t - 2265*t - 5 + 4*t**2 + 4826*t as f + a*t + l*t**2 and give l. 4 Rearrange (-220*g**2 - 10970*g**3 + 220*g**2 + 135734*g**3 + 131504*g**3 - 36552*g**3)*(1 - 2*g - 1) to the form f*g + v*g**3 + u*g**2 + o*g**4 + s and give u. 0 Express 458*d**2 - 889*d**2 + 405*d**2 - 63*d in the form x*d**2 + v*d + q and give v. -63 Rearrange -12336*d - 16168*d + 2850*d - 551*d + (-3 + 1 + 0)*(-2*d + 0*d + 3*d) - d + 3*d - 4*d to z*d + m and give z. -26209 Express (2 - 2 - 2)*(-u**2 - 4*u**2 + 3*u**2) + 3463*u**2 + 3506*u**2 - 122*u**2 - 343*u**2 as p*u**2 + l + y*u and give p. 6508 Express 186*d**4 + 776*d**3 + 787*d**3 - d**2 + 3*d**2 + 2 + 6 - 1561*d**3 in the form m*d**3 + h*d**2 + k + x*d + p*d**4 and give k. 8 Rearrange -4*a**2 - 121*a**4 + 70 - 36*a**2 - 68 - 2*a + 124*a**4 - 2*a**3 to i*a**2 + o*a + q + t*a**3 + c*a**4 and give t. -2 Express -123 + 4*y + 229 + 4*y - 78 in the form i + x*y and give x. 8 Rearrange -7 - 2 + 27 - 3 + 1090*w**2 - 14 to the form y + r*w**2 + m*w and give r. 1090 Express -26*m**4 - 105 - 9*m - 39*m**2 + 28*m**4 + 41*m**2 + 11 in the form d*m**2 + w*m + n*m**3 + u*m**4 + x and give u. 2 Express 0*m**3 + 78*m**3 - 21*m**3 + (3 - 3 - m)*(1 + m**2 - 1) - 10*m + 10*m + 29*m**3 in the form p*m**2 + l*m**3 + s*m + b and give s. 0 Rearrange -22 - 170*y**3 + 75*y**3 + 18 - 1079*y**3 to o*y**2 + k*y + a + v*y**3 and give v. -1174 Rearrange (0 + 1 + 4)*(-43*g + 26*g - 110*g) + g + 4*g - 3*g + (-g + g - 2*g)*(1 - 1 - 2) + g - 2 + 2 to u + i*g and give i. -628 Rearrange (2*t - 4*t - t)*(103 + 14 + 70)*(-5*t + 3*t + t)*(t**2 + 2*t - 2*t) to l*t**4 + f + q*t + j*t**2 + h*t**3 and give l. 561 Rearrange -8*x**2 + 65*x**4 + x**3 + 212*x**4 + 4*x**2 + 6*x**2 + 0*x + x to the form a + v*x + d*x**3 + p*x**4 + f*x**2 and give v. 1 Express (-m + 5*m + 2*m)*(15 - 32*m - 15 + 3) in the form w*m**2 + d + c*m and give d. 0 Express 2594 - 3*z + 716*z**3 - 5259 + 2666 as k*z + o*z**3 + x*z**2 + b and give b. 1 Express 3640*s + 14 - 3864*s - 15 as v*s + q and give q. -1 Express 1 + 1381688*r**2 - r - 1381695*r**2 + 253*r**3 + 2*r in the form i + u*r**3 + g*r**2 + j*r and give u. 253 Rearrange 7*b**2 + 42*b**2 - 44*b**2 - 3*b**2 - 646 to the form x*b + j + g*b**2 and give g. 2 Rearrange -7*v - 30 + 46 - 36 - 57 to l*v + z and give l. -7 Rearrange (-181*z - 211 + 213 - 307*z + (-3*z + 2*z + 0*z)*(-6 + 2 + 2))*(2*z + 2*z - 2*z) to the form r + m*z + l*z**2 and give m. 4 Rearrange (-113*x + 32*x - 64*x)*((2*x - x - 2*x)*(0*x + x + 0*x) - 8*x**2 - 6*x**2 - 3*x**2) to d*x + h*x**3 + q*x**2 + a and give h. 2610 Rearrange i**3 + 9517 + 3*i - 4760 - 4757 + 643*i**4 - i**2 to the form t*i**2 + f*i**4 + b*i + s*i**3 + g and give s. 1 Express -2*v - 3 + 579*v**3 - 577*v**3 + 195*v**4 + 0 - 3*v**2 + 1 - 3 as k*v**2 + x*v**3 + g + t*v + o*v**4 and give g. -5 Express -4*f - 30*f - 18*f + 20 - 63 - 9 as v + t*f and give v. -52 Rearrange 3*o + o + 0*o + (3 + 0 - 4)*(-3*o + 2 - 2) + (4*o - 3*o - 3*o)*(-2 + 3 - 2) - 5*o - 6*o + o - 16 + 16 + 41*o to the form h*o + b and give h. 40 Rearrange (0 + 0 + p)*(-3*p**2 + 3*p**2 - 2*p**2) + 3 - 3 + 111283*p**2 + 45*p**3 - 111300*p**2 to s*p + i + z*p**2 + r*p**3 and give z. -17 Express 29*u**2 - 63*u**2 - 2 + 216*u - 218*u + 35*u**2 - 33*u**4 in the form l*u**3 + b*u**4 + j + h*u + g*u**2 and give b. -33 Rearrange -3511*n**2 + 1 - 5*n**3 + 10550*n**2 + 2*n - 3510*n**2 - 3506*n**2 to x + v*n**2 + b*n**3 + j*n and give j. 2 Rearrange -28119245 - 3613*m + 28119245 to the form v + u*m and give u. -3613 Express 224*t + 1761*t**3 + 1 - 5*t**4 + 0 + 1779*t**3 - 3539*t**3 as c*t**4 + r + v*t**3 + h*t**2 + b*t and give c. -5 Express -55*n + 32*n**4 + 57*n + 14*n**3 - 15*n**3 - 29*n**4 + 28 + 2*n**2 in the form o*n + w*n**2 + l*n**3 + p + t*n**4 and give w. 2 Rearrange -18 + 25 + 8779*q + 4 - 11 to y + r*q and give r. 8779 Rearrange (-1 - 4 + 3)*(-15847*m + 29077*m - 15023*m)*(-1 + 1 - 2*m) to the form h + j*m**2 + d*m and give j. -7172 Express -89 + 206*b + 203*b + 202*b - 614*b in the form j + l*b and give l. -3 Express (-103*t**2 + 0*t**2 - 48*t**2)*(143 + 129 - 296) in the form y + w*t + j*t**2 and give j. 3624 Express -930*l + 1 - 570*l - 283*l + 86*l + 39*l as c + v*l and give v. -1658 Express -14 - 42 + 7*l + 255 - 80 in the form j + b*l and give j. 119 Rearrange 10168*d - 15199857 + 15199857 to x + c*d and give c. 10168 Rearrange (3 - 3 + 13)*(-3 + 3 - 1)*(8*m - 2 + 15*m - 6*m) to z*m + j and give j. 26 Express 18*o**3 + 0 + 2*o**2 - 9*o**3 - 2*o - 9 + 13*o**4 + 7 - 8*o**4 as q*o**4 + s*o**2 + t*o**3 + r*o + x and give t. 9 Rearrange 450*t**3 - 18*t**2 + 2 - 8*t**2 + t + 455*t**4 - 449*t**3 + 27*t**2 to k + r*t + c*t**3 + y*t**2 + z*t**4 and give y. 1 Rearrange (-3 + 6 + 0)*((3 + 0 - 4)*(4*s - s - 4*s) + 0 + 7 - 28565*s + 28728*s) to the form f*s + m and give f. 492 Rearrange (-1 + 2 - 2 + (-1 - 1 + 0)*(-1 - 4 + 3))*(78*n - 199*n + 106*n)*(-3 + 0 + 0) to w + r*n and give r. 135 Rearrange ((-1 + 1 - 2*o)*(0 - 3 + 2) + (246863 - 246783 + 38*o + 9*o)*(-3 + 1 + 0))*(-2*o - o + 4*o) to t + i*o + d*o**2 and give d. -92 Rearrange (57 - 57 + 21*k)*(-1 + 1 + 1) + (-3 + 2 + 4)*(9*k + 9*k - 26*k) to the form t + i*k and give i. -3 Express (-3*f + f + 4*f)*(336 + 288 - 185)*(-4 + 5 - 3) as z + h*f and give h. -1756 Express -2 + 194*c**3 - 34*c**2 - 393*c**3 - 4*c**4 + 2*c + 0*c + 199*c**3 in the form v*c**4 + q*c**3 + n*c + t + l*c**2 and give t. -2 Express (-136 + 125 - 166)*(-3 + 6 + 6)*(1 - 1 - 2*o)*(-1 + 2 + 0 - 4) in the form m + d*o and give d. -9558 Express (-8*o + 2*o + 4*o)*(8 - 8 + o) - 36*o**2 + 97*o**2 + 390*o - 389*o + 0 + 3*o**2 + 0 as i + c*o**2 + j*o and give j. 1 Rearrange -104*j + 3*j**3 + 13*j**2 - 99*j + 0*j**3 + 288*j - 96*j to g*j**3 + c*j + a*j**2 + y and give c. -11 Rearrange 3*u**2 + 7*u**3 - 186 - 226*u - 184 + 370 - 4*u**3 to the form q*u**2 + g*u + m + t*u**3 and give q. 3 Rearrange 443*j + 428*j + 434*j - 27*j**3 - 1321*j + 2*j**2 to u*j + s*j**3 + c + t*j**2 and give s. -27 Express 52*y**3 - 34953*y - 2*y**2 - 34959*y + 3*y**4 + 69900*y - 2*y**4 as i + w*y**3 + f*y + z*y**2 + c*y**4 and give w. 52 Rearrange (10 - 1 - 2*d - 7)*(-208*d + 73*d + 1372*d)*(-d - d + 0*d) to the form y*d + m*d**2 + c + o*d**3 and give o. 4948 Rearrange -123*k - 299*k - 213*k to z*k + r and give z. -635 Rearrange -1 + 2 - 3*c**2 + 1 + (6*c**2 - 657*c + 657*c)*(95 - 381 - 223) to g*c + i*c**2 + m and give i. -3057 Express -289*j**2 + 1860*j**2 + 1439*j**2 as g*j + o*j**2 + s and give o. 3010 Rearrange -504 + 160*k**2 + 161*k**2 + k**3 - 483*k**2 + 3*k + 160*k**2 to the form g + j*k**3 + a*k + c*k**2 and give g. -504 Express -9*x - 275*x**2 + 479 + 9*x - 33*x**2 - 483 in the form m*x**2 + y + j*x and give y.
{ "pile_set_name": "DM Mathematics" }
+ 126*v - 6489 for v. 63 Solve 7*a + 11*a - 283 = -1019 - 344 for a. -60 Solve -163*v - 3284 - 1072 = 1188 + 161 for v. -35 Solve 82128 = 313*u + 1251*u + 147*u for u. 48 Solve -54*u - 269 = 214 + 333 - 60 for u. -14 Solve -351*z - 1512*z = 1152*z + 277*z - 52672 for z. 16 Solve -8109 = 425*k - 2584 for k. -13 Solve -4324*z = -3813*z + 43435 for z. -85 Solve 1906*q - 61731 + 1798 = 77299 for q. 72 Solve -3492*d - 4359*d + 580974 = 0 for d. 74 Solve -568*o - 784*o + 155*o + 86496 = 435*o for o. 53 Solve 371334 = 9395*q - 1340*q - 103911 for q. 59 Solve 58*s - 4559 + 8594 = 4557 + 2436 for s. 51 Solve -20875*c + 10396*c = -10414*c - 2535 for c. 39 Solve 0 = 100*z - 1821 + 7121 for z. -53 Solve -2227*c + 38532 = -38845 - 18384 for c. 43 Solve -290*u - 19899 = -7719 for u. -42 Solve -30702 = 1301*r + 505*r for r. -17 Solve 251*m + 228*m - 25694 = 36*m for m. 58 Solve 93*r - 1438 + 4441 = -5705 - 1987 for r. -115 Solve -10118*z = -11190*z + 98624 for z. 92 Solve 71*q + 41*q - 5*q + 134*q = -9640 for q. -40 Solve 2700*v - 82960 = 1340*v for v. 61 Solve 2336*g - 18532 = 51578 + 14157 - 7179 for g. 33 Solve 58*d + 7908 + 65611 - 11803 = -776*d for d. -74 Solve 1026*d = 616*d + 13940 for d. 34 Solve -60*z + 4012 - 292 = 0 for z. 62 Solve 0 = 9060*k + 262945 - 18325 for k. -27 Solve -582*m = 1181*m + 472*m - 6705 for m. 3 Solve -738631*s + 738367*s = -15048 for s. 57 Solve 133*p = -331*p + 17168 for p. 37 Solve -602250*m = -602157*m - 3534 for m. 38 Solve -10*j - 58*j - 1408 = -156*j for j. 16 Solve 23*y + 840 - 2520 = 45*y + 13*y for y. -48 Solve 7309 - 614 + 4693 = 889*j - 733*j for j. 73 Solve -2648*p + 39732 = -8002 + 975 - 67105 for p. 43 Solve 0 = 638*v - 1257*v + 627*v + 256 for v. -32 Solve -60333 = -1197*p + 2744 + 3955 for p. 56 Solve -8190 = 5485*k - 2372*k - 2658*k for k. -18 Solve 1577464*b - 1577335*b - 10174 + 1015 = 0 for b. 71 Solve 0 = -66*q - 125*q + 63*q - 143*q - 13279 for q. -49 Solve 204*m - 59058 = -3204*m - 66*m for m. 17 Solve 187789 = 90*h + 184189 for h. 40 Solve -5*r + 11*r - 41*r = -56*r - 1197 for r. -57 Solve -43923*l + 43819*l = 142 - 5144 - 2382 for l. 71 Solve 134 + 189 = 33*w + 342 - 118 for w. 3 Solve 14690*v = 14688*v - 136 + 46 for v. -45 Solve -7196*g = -6909*g - 8323 for g. 29 Solve 0 = 2254*m + 3347*m + 3052*m - 804729 for m. 93 Solve 289*y + 625*y + 6573 = -2567 for y. -10 Solve 123*n - 162*n = 418*n - 15081 for n. 33 Solve -1510274*c + 1510189*c = -680 for c. 8 Solve -1971*y - 25627 = -1448*y for y. -49 Solve -97078*h = -95018*h + 234840 for h. -114 Solve 50*n - 4683 = -2144 + 2411 for n. 99 Solve 0 = 4329*u + 1058*u + 296285 for u. -55 Solve -1618*n + 103207 = -128167 for n. 143 Solve 217759 = -306*f + 231223 for f. 44 Solve 106*b - 31*b + 31*b + 10496 = -22*b for b. -82 Solve 3402*q + 25689 = -32145 for q. -17 Solve -1274*d + 42242 = 2547*d + 61*d + 263516 for d. -57 Solve 14919*j - 130806 = 4857*j for j. 13 Solve -197770*c + 197732*c = -1140 for c. 30 Solve 0 = -9963*u + 9236*u - 29807 for u. -41 Solve 1337*z = 1061*z - 1932 for z. -7 Solve -22655*o + 131108 = -20859*o for o. 73 Solve -56 + 186 + 184 - 53 = 87*w for w. 3 Solve -1031 = 528*z - 7574 - 5601 for z. 23 Solve -17861*t - 232588 = 60434 - 68612 + 114949 for t. -19 Solve 37*b = -3529 + 4824 for b. 35 Solve -978*a + 8108*a = 442060 for a. 62 Solve 178*z + 46*z + 123*z - 21125 = 22*z for z. 65 Solve -47*q - 27*q = -43*q + 310 for q. -10 Solve 91*p - 5335 = 16*p - 4510 for p. 11 Solve 101*d = 207*d - 31*d - 4350 for d. 58 Solve 23124*r - 11605*r - 11587*r = -6392 for r. 94 Solve 1652*o = -1003*o + 141*o - 170952 for o. -68 Solve 238*q + 1420 = 7132 for q. 24 Solve 629*o + 3242 = -3174 - 503 for o. -11 Solve 6374*z = -1326*z - 4255*z + 382502 - 11897 for z. 31 Solve -1730*g + 428*g + 78974 + 12166 = 0 for g. 70 Solve 0 = 2650841*d - 2650801*d - 1840 for d. 46 Solve -646*w - 282*w - 994*w - 433*w - 80070 = 0 for w. -34 Solve -195*j + 2040 = -3943 - 2476 - 121 for j. 44 Solve 0 = 88*f - 3168269 + 3168093 for f. 2 Solve -117*l + 34*l + 2689 = 912 - 3203 for l. 60 Solve -46*a - 1109*a + 20873 + 2095 = -111*a for a. 22 Solve 23075 + 24999 = 559*l for l. 86 Solve 0 = -17*m - 3745 + 1250 + 1033 for m. -86 Solve 140644*h = 140674*h + 1680 for h. -56 Solve -48*f - 62*f - 3290 = 7*f - 482 for f. -24 Solve -1135*s + 206791 = 160256 for s. 41 Solve -1760*q + 242*q + 36432 = 0 for q. 24 Solve 1794*i - 5480 = -946*i for i. 2 Solve -29*x + 18 = -458 - 452 for x. 32 Solve 9900 - 7924 = 76*c for c. 26 Solve 343*p + 364*p - 26159 = 0 for p. 37 Solve 10732*z - 2240 = 10412*z for z. 7 Solve -6528689*i + 6528672*i = -935 for i. 55 Solve -301*l - 3155 - 2620 + 719 = 2168 for l. -24 Solve -744*g - 861*g = -753*g + 1498*g + 35250 for g. -15 Solve -5211 + 1064 = 524*r + 1209 + 4600 for r. -19 Solve 27704*q + 3038 = 27630*q - 1994 for q. -68 Solve -456876*t + 456926*t = 1150 for t. 23 Solve 122 + 0 = -26*a - 34 for a. -6 Solve -57*b = 44*b - 183*b for b. 0 Solve -538*z - 33301 = -67195 for z. 63 Solve 633*t - 5290 = 63*t + 340*t for t. 23 Solve 2550*m - 568 = 2610*m - 3148 for m. 43 Solve 0 = -46*t - 1757 + 518 + 89 for t. -25 Solve -27744 + 8862 = -1049*w for w. 18 Solve -965 = 222*p + 3027 + 226 for p. -19 Solve -40164 = 3250*s + 86586 for s. -39 Solve 90161*s = 90067*s + 4418 for s. 47 Solve -528*m + 22178626 = 22210834 for m. -61 Solve -358*u + 244971 = 452*u + 1089*u for u. 129 Solve 968*s + 504986 = 7308*s - 666*s for s. 89 Solve 1207 - 1051 = 174*z - 38*z - 2292 for z. 18 Solve -21236 = -3629*h - 254458 - 24437 for h. -71 Solve 12167 = -244*f + 1865 - 678 for f. -45 Solve -64301386 = -15*y - 64300936 for y. 30 Solve 0 = 23784*t - 25216*t - 107400 for t. -75 Solve 0 = 207*w - 524 + 837 - 1774 - 816 for w. 11 Solve 10*y + 1532 = 27*y + 1498 for y. 2 Solve 300*l - 15307 = 6306 + 1187 for l. 76 Solve -219*j + 84*j - 338*j = 20339 for j. -43 Solve -1311*o + 1597*o - 2849 = -9999 for o. -25 Solve 672 = -3974758*z + 3974779*z for z. 32 Solve -1784*k - 26030 = 99399 + 47619 for k. -97 Solve 200*z = 3817*z - 603540 + 104394 for z. 138 Solve -4884629*l + 4884527*l + 306 = 0 for l. 3 Solve 3111*a - 1061 = 1546*a + 1911*a - 6597 for a. 16 Solve 385*x + 147583 = 4171*x - 4690 - 86245 for x. 63 Solve 120*w + 24288 - 30204 = 33*w for w. 68 Solve 0 = -90*w - 558 - 2412 for w. -33 Solve -105*z + 7065 = -2868 + 1323 for z. 82 Solve 217*y + 157*y - 319*y + 2365 = 0 for y. -43 Solve -821*y + 24438 = 79445 for y. -67 Solve -7978*l + 126011 = -95496 - 33789 for l. 32 Solve 365*i + 1047*i + 32363 = 2711 for i. -21 Solve -2889 - 494 = -118*f + 25*f + 151 for f. 38 Solve -317*q - 677 - 3444 = 0 for q. -13 Solve -1203 = -6624*d + 13260*d - 6676*d + 3717 for d. 123 Solve -28074 = -78*l - 30960 for l. -37 Solve 181*o + 83*o + 13264 = 61*o + 2708 for o. -52 Solve 682*l = 592*l - 3600 for l. -40 Solve 158*v + 2237 = -768 + 554 - 709 for v. -20 Solve 0 = -3767*k + 1574*k - 3456*k + 129927 for k. 23 Solve -2465*k - 2005*k - 33014 = 166*k + 55070 for k. -19 Solve 133*z - 158*z + 34830 = 309*z + 71*z for z. 86 Solve 138*s + 232*s - 526 = -40*s + 704 for s. 3 Solve 11743*d - 5395 = 11826*d for d. -65 Solve 21953*n - 2601 - 2583 = 21629*n for n. 16 Solve 138525*u + 1628 = 138569*u for u. 37 Solve -993*q - 12033 + 48774 = 0 for q. 37 Solve 18*t - 42 = 16 - 353 - 425 for t. -40 Solve 0 = 944*d + 10497 - 32209 for d. 23 Solve -364*j - 543*j = 92*j - 61938 for j. 62 Solve -1104*w + 81550 = 514*w - 10676 for w. 57 Solve -237*q + 36 = -135*q - 120*q for q. -2 Solve -336*v - 61 = -5773 for v. 17 Solve -576*b = 338*b + 7141 + 29419 for b. -40 Solve -146*k + 3*k = -93*k - 2200 for k. 44 Solve -517 - 100 - 1042 = 3188*r - 2951*r for r. -7 Solve 29*p + 40*p + 4293 = -8*p - 4*p for p. -53 Solve 2410*o - 444*o = -192*o + 100772 - 25242 for o. 35 Solve -16*y = -157*y - 549*y - 9023 + 42143 for y. 48 Solve 38516*o - 8473*o = -4274252 + 699135 for o. -119 Solve -13086 = -69*f - 1012*f - 72541 for f. -55 Solve -104436 - 72377 = -6097*b for b. 29 Solve 0 = 5602*j + 374916 - 50000 for j. -58 Solve 97746 - 309224 = -2579*y for y. 82 Solve -221*n - 668 = 133*n - 346*n + 292 for n. -120 Solve 3005*w - 16409 + 139297 + 149675 - 20143 = 0 for w. -84 Solve -119*d - 14462 = -5172 + 3562 for d. -108 Solve 16729*d - 16529*d - 340
{ "pile_set_name": "DM Mathematics" }
Let f = 159 - 142. Suppose 3*i - 5*r = f, -4*i = 6*r - 2*r - 12. Calculate t(i). 10 Let x be (15/(-4))/((-1490)/1192). Let b(u) = 9*u - 1. Let h(w) = 9*w - 2. Let v(t) = -5*b(t) + 4*h(t). Give v(x). -30 Let i(q) be the second derivative of -q**4/12 + 5*q**3/3 + q**2/2 - q. Let o(g) = 37*g + 2676. Let k be o(-72). Determine i(k). -23 Suppose 0 = 73*c - 2321 + 642. Let o(w) = w - 35. Determine o(c). -12 Suppose 0 = 3*v - 7 + 4. Let n(m) = -5*m + 1. Let i(s) = 9*s - 2. Let g = -104 + 101. Let f(j) = g*i(j) - 5*n(j). Give f(v). -1 Suppose -6*v + 5 = -5*v. Let i = 7 + v. Let c be (2/4 - 9/i)*-8. Let b(f) = 4*f**2 - 2*f + 3. What is b(c)? 15 Let m(p) = p**3 + 4*p**2 + p - 5. Let l = 45 - 40. Suppose -4*u - 15 = 9*c - 10*c, -5*u + l*c = 15. Determine m(u). -9 Suppose 5*z - 2737 = -2*h, h = 4*z - 2521 + 321. Let t = z + -554. Let m(n) = n**2 + 5*n - 3. Calculate m(t). -3 Let f(o) = o**3 + 4*o**2 - o - 2. Suppose -5*r - 199 + 4 = 0. Let b = 37 + r. Let t be (2/2 + b - -5)/(-1). Determine f(t). 2 Let z(m) = m**2 + 21*m - 17. Suppose -30*c + 52 = -31*c + 5*n, 5*c + 5*n + 50 = 0. What is z(c)? -85 Let l(v) be the third derivative of -v**6/120 - v**5/60 - v**4/8 + v**3/6 - 4264*v**2. Determine l(-3). 28 Let d(y) = 6*y + 6*y - 78278*y**2 - 35 + 78277*y**2. Give d(5). 0 Let q be (-2632)/(-18) + (-2 - (-32)/18). Let d = q + -149. Let c(h) = h**2 + 8*h + 2. What is c(d)? -13 Let s = 406 + -362. Let u(i) = 4 - 21*i + s*i - 19*i. Give u(4). 20 Let y be 60/27 - 2 - 1211/63. Let w = y - -23. Suppose r - 4*v = -2, -w*r = v + 4*v + 29. Let b(z) = z**2 + 6*z + 6. Give b(r). 6 Let n(k) = -3*k**2 - 16*k**3 - 2*k**2 - 13*k**3 + 4*k**2 + 32*k + 2 - 34*k. Give n(1). -30 Let x(q) be the third derivative of -q**6/120 + 2*q**5/15 - q**4/6 + q**3/2 + 1006*q**2. Give x(8). -29 Suppose -23 = -2*w + 3*w. Let v = w - -29. Let i(r) = 5 - v + 4 - 7*r + 3*r. Calculate i(2). -5 Let k(j) = j**2 - 34*j + 56. Suppose 10*c - 90 = 7*c + 3*u, 2*u + 156 = 5*c. Determine k(c). -8 Let s be (47 + -23)/(3/(-46)). Let z = 365 + s. Let w(k) be the second derivative of -k**5/20 - k**4/4 + k**3/3 - 3*k**2/2 - k. What is w(z)? -9 Let m(k) = -6*k**2 + 106*k + 32. Let d(p) = -2*p**2 + 44*p + 13. Let h(o) = -12*d(o) + 5*m(o). Give h(-1). -4 Let x(p) be the second derivative of 1/3*p**4 + 53*p - 2/3*p**3 + 2*p**2 + 1/20*p**5 + 0. Determine x(-5). -1 Let v(u) = 100*u - u**3 + 11 - 17*u**2 + 108*u - 335*u + 2*u**2 + 110*u. Give v(-14). 53 Let w = -1095 + 1097. Let d(v) = 4*v**2 - v + 2. What is d(w)? 16 Let a(s) be the third derivative of 125 + 1/120*s**6 - 1/12*s**5 + 1/6*s**3 - s**2 + 0*s + 1/8*s**4. Determine a(3). -8 Let r(x) = 3044*x - 927. Let d(i) = -1659*i + 463. Let c(z) = -11*d(z) - 6*r(z). Determine c(31). 4 Let w(i) be the first derivative of i**2/2 - 2. Suppose -3*u + 109*n - 107*n - 4 = 0, -4*u + 6 = 3*n. What is w(u)? 0 Let w(x) = -22*x - 196. Let f be w(-9). Let c(i) = 2*i + i - 7*i**2 - 5*i + 1. Determine c(f). -31 Let z(s) = s**2 - 14*s + 21. Let h(x) = -2*x**3 - 11*x**2 - 4*x + 20. Let t be h(-5). Calculate z(t). 36 Suppose 15 = h - 4*a, a + 12 = 4*h - 18. Let k(m) = -m**3 + m**2 + 42*m + 6. What is k(h)? 6 Let f be (-11)/(33/30)*(-2 + 3). Let w be (-2 + 0)*(-12 - f). Let l(r) = r - 9. Calculate l(w). -5 Let v(d) be the third derivative of -d**5/60 - 5*d**4/24 + 9*d**3/2 - 399*d**2. Give v(-10). -23 Let z(v) = 607 - 114*v - 1224 + 611 + 110*v. Let c(y) = 2*y**3 + 2*y**2 - y. Let b be c(-2). Give z(b). 18 Let k(d) = 9*d + 3. Suppose 8*l + 2*p + 6 = 0, -5*l + 30*p - 4 = 31*p. What is k(l)? -6 Let t(i) = 25*i - 365. Let r(s) = -13*s + 200. Let l(b) = -5*r(b) - 3*t(b). Calculate l(9). 5 Suppose i + 7 = 3*j + 20, 5 = i + 5*j. Let d(t) = -16 + 11*t + 7 + i - 7*t. What is d(-2)? -7 Let d(s) be the first derivative of -2*s**3/3 + 13*s**2/2 - 14*s - 3469. Give d(8). -38 Let s(a) = 7*a**2 - 12*a. Let u(r) = -20*r**2 - 8*r - 300. Let p(z) = -3*s(z) - u(z). Give p(50). 0 Let t = -390 - -392. Suppose -2*d - 2*i = -8, 0 = -t*d - 2*i + 5*i + 8. Let p(n) = n**2. Calculate p(d). 16 Let i(v) be the second derivative of 53*v - 1/2*v**3 - 5/2*v**2 + 0. What is i(-3)? 4 Suppose -161 = -6*u - 149. Let s(x) = 8*x + 216*x**u + x**3 + 89 - 227*x**2 - 75. What is s(10)? -6 Let d(i) = -11*i**2 - 23 + 2634*i + 29*i**2 - i**3 - 2664*i. Give d(16). 9 Let d(l) = 26*l**2 + 87*l - 27. Let f(j) = -18*j**2 - 58*j + 20. Let r(q) = 7*d(q) + 10*f(q). Calculate r(-12). -49 Suppose 14*o - 69 - 1 = 0. Let r(q) = 9*q + o - 1 - 5*q. What is r(3)? 16 Suppose 5*c - 4 = 2*p, -5*p = c + c + 39. Let t(w) = -w + 12. Let q be t(7). Let l(f) = 6*f - 2 - 4*f + f**2 + q*f. Calculate l(p). -2 Let v(n) = -5*n**2 - 2. Let k(t) = -t**2 + 16*t - 68. Let r be k(6). Let d(l) = l**2 + 8*l + 2. Let c be d(r). What is v(c)? -22 Let d(p) = 13*p**3 - 3*p**2 + 29*p + 6. Let z(q) = -6*q**3 + 2*q**2 - 12*q - 3. Let j(n) = -4*d(n) - 9*z(n). Calculate j(5). 63 Let w(s) be the third derivative of -s**5/30 + 25*s**4/24 + 7*s**3/3 - 64*s**2 + s. Suppose -4*h + 27 = 3*f, -5*f = 5*h - 31 - 19. Calculate w(f). 1 Let f(l) = -l**2 - 13*l - 12. Let b(h) = h**2 + 19*h + 9. Let a(y) = -4*b(y) - 5*f(y). Give a(4). -4 Let m(b) = 4*b - 1. Let h(w) be the third derivative of w**5/60 - 3*w**4/8 - 4*w**3 + 25*w**2. Let c be h(10). Let n be 4/c + (-14)/(-49) + 3. Give m(n). 11 Let c(x) = -x**3 - 9*x**2 - 8*x + 10. Let i be c(-8). Let t be (-18)/4*i/(-15). Let b(o) = -42*o**2 - o**3 - 1 + 0*o**3 + 0 + 38*o**2 - t*o. Determine b(-3). -1 Let s(r) = -3*r**2 - 5*r - 7*r**3 + 5*r**3 + 3*r**3 + 5. Let j be s(4). Let c(i) = 134*i - 132*i + 0 + j. Determine c(-1). -1 Let k(w) = 160*w + 0 - 40*w - 24 - 61*w - 60*w. What is k(15)? -39 Let l = -9 + 14. Let o(p) be the first derivative of p**5/60 - 7*p**4/24 + 2*p**3/3 - 5*p**2 + p + 17. Let m(n) be the second derivative of o(n). Give m(l). -6 Let x(n) = -17 + n + 2*n + 63 - 20. Let g be x(-5). Let h(i) = -i**3 + 12 + 0*i**3 + i - 3*i + i + 11*i**2. Calculate h(g). 1 Suppose 0*c + 5*t = 3*c - 30, 5*t = -15. Let i(y) = y**3 - 3*y**2 + 5*y - 7. Let n be i(3). Let p(v) = n*v - 1 - 2*v - 31*v**2 + 29*v**2. Calculate p(c). -21 Let t(b) be the first derivative of -1/12*b**4 + 1/2*b**2 - 7*b + 8 + 0*b**3 - b**5. Let i(j) be the first derivative of t(j). Determine i(1). -20 Suppose 6*i - 9*i - b = -123, -123 = -3*i - 5*b. Suppose -13 + i = -4*j. Let w(k) = k**2 + 7*k - 4. What is w(j)? -4 Let c(r) = 216*r - 661*r + 3 + 216*r + 216*r. Determine c(-1). 16 Let o(s) be the second derivative of -s**7/840 + s**6/60 - s**5/30 + 5*s**4/24 - 67*s**3/3 - 108*s. Let n(d) be the second derivative of o(d). What is n(4)? 21 Let o(x) be the second derivative of -1/3*x**3 + 1/12*x**4 - x**2 + 53*x - 1/5*x**5 - 2. Calculate o(-2). 38 Let h = 33 + -32. Suppose h = 3*a - 3*v - 11, 5*v = 3*a - 14. Let k(d) = -6*d + 10*d + d**2 - a + 3*d. Determine k(-6). -9 Let b(o) = 25*o + 25. Let h be b(-7). Let a = 138 + h. Let f(l) = -l**2 - 13*l - 11. Determine f(a). 1 Let h be 5*(-2 - (-66)/10). Suppose -h*s + 225 = -48*s. Let o(z) = 4*z - 3. What is o(s)? -39 Let f = -17 + 28. Let m be ((-2)/(-4))/(f/242). Let t(b) = -m*b - 8 + 13*b - 4*b. What is t(-7)? 6 Let s be -70*(3/14 + 4/14). Let c = s + 36. Let r(v) = 23*v**2 - 7*v - 5. Let w(z) = -12*z**2 + 3*z + 2. Let x(n) = -2*r(n) - 5*w(n). Calculate x(c). 13 Let x(c) = 89*c - 2038. Let b be x(23). Let r(m) be the first derivative of -12*m - b + 1/2*m**2. Give r(7). -5 Suppose -47 + 87 = 5*p - 5*f, -3*p + 36 = -5*f. Let r(k) = 6*k**2 - 4. Calculate r(p). 20 Let n(k) be the first derivative of k**4/4 + 3*k**3 - 7*k**2/2 + 24*k + 920. Let w = -74 - -64. Determine n(w). -6 Let v(m) = m**2 + 5*m - 62. Suppose 52*k - 53*k = -3*f + 10, 5*k - f = -50. Calculate v(k). -12 Let z(x) = -x**2 - x - 5. Let l be z(0). Let r(s) = 3*s**2 + 27*s - 7. Let q(m) = 7*m**2 + 62*m - 15. Let i(c) = 4*q(c) - 9*r(c). Calculate i(l). 3 Let m(z) = -89*z - 1248. Let t be m(-14). Let l(r) = 2*r - 9. What is l(t)? -13 Let d(g) = -g**3 - 12*g**2 - 12*g - 4. Let y = -4198 - -4187. What is d(y)? 7 Let k(s) = s**2 - 9*s - 11. Let o(r) = 7*r - 61. Let y be 14/(-2) - (-748)/44. Let n be o(y). Determine k(n). -11 Let v(p) = -62*p**2 + 2*p + 2. Let l(b) = 96*b - 673. Let w be l(7). What is v(w)? -62 Let k(g) = -2*g**3 - 19*g**2 + 5*g + 12. Let z(w) = 9*w**3
{ "pile_set_name": "DM Mathematics" }
* -0.168 -0.976752 Calculate -0.5*-2683.8. 1341.9 Product of 4 and -0.5668. -2.2672 0.0636 * 0.094 0.0059784 Multiply 0.118 and 400.9. 47.3062 -154.9801*-0.07 10.848607 Product of 160.829 and -0.4. -64.3316 Multiply 0.01 and 21951. 219.51 What is the product of 804 and 0.001? 0.804 Product of 4.7 and 0.2674. 1.25678 -5 * -13978 69890 7503.3*0.7 5252.31 25 times 239 5975 Work out 72 * -9.35. -673.2 Multiply 413 and 0.0813. 33.5769 -0.04732*0.19 -0.0089908 Calculate 290*-26.04. -7551.6 What is -0.0666 times 2325? -154.845 What is 704038 times 1? 704038 What is 49172 times 7? 344204 What is -674 times 24? -16176 Calculate -91.72231*0. 0 Calculate -0.37*3. -1.11 What is the product of -121.2 and -3? 363.6 0*-20.35 0 Product of 422537 and -1. -422537 Work out -66335 * -2. 132670 Work out 0.1894 * 10.95. 2.07393 Work out 0 * 1353545. 0 50.8*-0.18 -9.144 What is the product of 0.5 and 19.854? 9.927 What is the product of -30278 and 4? -121112 Calculate -49*1643.5. -80531.5 -49*3021 -148029 Calculate -8354*-105. 877170 Calculate 65*1005. 65325 Work out 0.5 * -91485. -45742.5 88136*-5 -440680 What is 53 times 0.0979? 5.1887 What is the product of 1873 and -12? -22476 What is the product of 1.136089 and -0.3? -0.3408267 -43.4 times 33.7 -1462.58 Product of -0.00628 and -0.0101. 0.000063428 Work out 0.2429 * -0.14. -0.034006 Multiply -0.2 and -808049. 161609.8 Work out -0.8 * 3.3. -2.64 What is the product of 798541 and -4? -3194164 4336.3*0.04 173.452 Multiply 2059554 and 0.5. 1029777 Work out -7.8822 * -4. 31.5288 Product of -125 and -34.32. 4290 -4*-8602 34408 What is the product of -0.1553 and 19? -2.9507 0.1*-222429 -22242.9 2988.41 times -0.6 -1793.046 -20685 * 4 -82740 Calculate -2*-123970. 247940 -5 times -45.987 229.935 4*0.039219 0.156876 -20491 times 0.5 -10245.5 -0.8*-25.98 20.784 317.28*-0.6 -190.368 9680*4 38720 What is the product of 0.01871 and 0.26? 0.0048646 Calculate -36272.1*-5. 181360.5 What is the product of -0.1 and -871? 87.1 Work out 0.02 * 81.1072. 1.622144 1.16 times 4.54 5.2664 What is the product of -394.6 and -29.4? 11601.24 What is the product of -343554 and 2? -687108 Work out 3 * 0.0332503. 0.0997509 Calculate 0.008*-0.0455. -0.000364 What is -1081 times -112? 121072 Calculate 4.4*12.8. 56.32 -0.104 times 118 -12.272 2391 * -4 -9564 What is 0.2 times 0.0403? 0.00806 Work out -139971 * 4. -559884 -0.338 times -415 140.27 0.5 times 8918 4459 0.2*-5.291 -1.0582 What is the product of 0.2 and -0.127769? -0.0255538 Multiply 4270.3 and 0.1. 427.03 11760 * 12 141120 Work out 8 * 0.25574. 2.04592 5 * -0.28368 -1.4184 -82030 * -2 164060 5.2*-250.1 -1300.52 Calculate 5.97438*-2. -11.94876 Calculate -1.4*-1.43246. 2.005444 Calculate 435429*0.3. 130628.7 Product of -5839 and -4.2. 24523.8 Multiply -1123 and -100. 112300 Calculate 0.42669*-2. -0.85338 Product of 0.0339 and 80.2. 2.71878 What is 0.9 times 3.47033? 3.123297 Calculate -0.228*155. -35.34 Work out 118787 * -0.3. -35636.1 -321.242 * 5 -1606.21 Calculate 0*204.2521. 0 Multiply -69987 and -0.1. 6998.7 13069.8 * -0.3 -3920.94 0.5 times -3088 -1544 -25275*144 -3639600 What is the product of 3257 and 40? 130280 -0.58794 times 0.26 -0.1528644 3 times -35717 -107151 Multiply 0.82 and -1643. -1347.26 Calculate -3.5*-2.6985. 9.44475 114531 * -0.1 -11453.1 What is -6 times 109905? -659430 170*-19765 -3360050 Product of -88 and -0.00845. 0.7436 What is 38071 times 5? 190355 Calculate 0.155*3.73. 0.57815 What is the product of 4 and -29826? -119304 What is the product of -1904 and -107? 203728 What is the product of -4.8184 and -1? 4.8184 -5 * -4449 22245 What is 0.318 times 0.21? 0.06678 Calculate -0.01*-0.0086. 0.000086 -1.788 times 0.299 -0.534612 0.1 * 7174 717.4 What is 0.102627 times 0? 0 What is -0.106 times 1005? -106.53 -8.4 * 12 -100.8 Product of 10 and 145982. 1459820 -43 * -0.5469 23.5167 What is the product of -3 and -3.409? 10.227 1*-0.07522 -0.07522 -1 * 3.4816 -3.4816 Calculate -54*1320. -71280 Product of 7098 and -3. -21294 Product of 9600 and 5. 48000 What is -4.677 times -98? 458.346 433 * 7 3031 -0.0812*0.0009 -0.00007308 12.9*19368 249847.2 What is -307.37 times -0.65? 199.7905 Work out 82828 * 0.1. 8282.8 Product of 0.9303 and -7. -6.5121 Multiply -6548 and -0.069. 451.812 Multiply -123.6 and -0.6. 74.16 -0.03 * 862 -25.86 What is 0.1 times 2.3749? 0.23749 -0.0023945*0.4 -0.0009578 Product of 0.0272 and -3399. -92.4528 -0.1 * 1080953 -108095.3 2 times 0.0942185 0.188437 What is 2671.4 times -0.02? -53.428 8 * -0.7882 -6.3056 What is the product of -2 and -7795? 15590 Work out -1227.21 * 0.1. -122.721 -5*11081 -55405 What is -222 times 0.0617? -13.6974 Multiply 4 and -851578. -3406312 What is the product of -36223 and 0.38? -13764.74 Work out 6.3 * 40466. 254935.8 8 * 1.266 10.128 Product of -1212 and 36. -43632 -2 times 3912 -7824 Product of 1 and -3020.7. -3020.7 Product of 10138 and -11. -111518 Work out -12319 * -0.4. 4927.6 Multiply 2.26427 and 7. 15.84989 Calculate -0.6474*8. -5.1792 -363.4*0.01 -3.634 Calculate -0.4*5659. -2263.6 Multiply 16524 and 46. 760104 What is -1.4 times -231.95? 324.73 472*828 390816 Work out 7 * 550. 3850 -6 * -132066 792396 Multiply 4 and -181856. -727424 What is -378974 times -5? 1894870 Work out 0 * 5477.5. 0 Work out 0.01 * 0.0882. 0.000882 What is 0.14135 times 5? 0.70675 0.043 times -549 -23.607 707427*0.5 353713.5 81 * 0.072 5.832 What is the product of 271155 and 0? 0 What is -4.28 times 1.89? -8.0892 -7570.64 times 0.3 -2271.192 Product of 0.01 and 0.171. 0.00171 Multiply -0.3 and -20013. 6003.9 Work out -0.2 * -5.0336. 1.00672 -0.033527 * 0 0 Product of 0.07 and 211728. 14820.96 What is -163342 times 0.3? -49002.6 What is -531808 times 2? -1063616 Multiply -1.3 and 0.5286. -0.68718 What is the product of 0.98 and 0.8? 0.784 18*-0.68293 -12.29274 330 * 94.37 31142.1 237663 times 1 237663 208.2 * 0.1225 25.5045 0.5*-0.0151649 -0.00758245 Multiply -75 and -0.0102. 0.765 What is 1.3 times -3648? -4742.4 45 times -0.16977 -7.63965 What is the product of -2319 and 1.52? -3524.88 234202 * -5 -1171010 What is 2 times 39.713? 79.426 -46 * -113 5198 Calculate 1894*-12.5. -23675 Product of -18.1 and -141. 2552.1 0.2 * -62361 -12472.2 What is the product of 17707 and -1? -17707 Multiply 281 and 545. 153145 Calculate -45*-89.1. 4009.5 Calculate -209627*0.04. -8385.08 What is -6213 times 0? 0 -0.4 times 33453 -13381.2 Multiply 2.3 and -294.04. -676.292 Calculate 50.8*36.3. 1844.04 -11188 * -14 156632 What is 92 times -90.8? -8353.6 15*-1689 -25335 Work out 0.4 * -164.92. -65.968 570556*0.5 285278 14 * 302.27 4231.78 Multiply 0.01 and 10565. 105.65 What is -15 times -3591? 53865 -0.1691 times -0.501 0.0847191 What is the product of 0.4 and 45172? 18068.8 What is the product of 59357.5 and 3? 178072.5 Multiply 205259 and 1. 205259 What is the product of 1.55 and 0.9? 1.395 What is -0.58 times 180? -104.4 What is the product of 8016 and 49? 392784 -116*452 -52432 0.2579*-2.4 -0.61896 Product of 78867 and -0.3. -23660.1 Work out 0.66 * -0.0416. -0.027456 0.07853 * -0.765 -0.06007545 What is 0.07 times -2733.41? -191.3387 Work out -0.5 * 6.0897. -3.04485 2.103 times 9.34 19.64202 Product of -0.943 and 0.2. -0.1886 -1.3614*3 -4.0842 -3.9134 times 0.3 -1.17402 Multiply 0.2 and 173090. 34618 Multiply -169 and 3. -507 What is the product of 0.856135 and -4? -3.42454 What is 10.4 times 2428? 25251.2 Multiply 16 and -1584. -25344 3 * -29202 -87606 Work out 14320 * 100. 1432000 What is the product of -21277 and 44? -936188 -320*-72 23040 Multiply -43205 and 0.1. -4320.5 Product of -0.129 and -8. 1.032 -0.0057*924 -5.2668 Calculate 0.2*-5029. -1005.8 -24.65 times -0.5 12.325 0.0298*0.4628 0.01379144 Calculate -3.327*0.7. -2.3289 Calculate -12.50327*-0.4. 5.001308 What is -33.9 times 11.4? -386.46 Product of 170.06 and 0.001. 0.17006 What is 1.796 times 4? 7.184 Multiply 20.543 and 30. 616.29 Multiply -0.3 and 16655. -4996.5 Product of -0.01633 and 39. -0.63687 -875.37*0.02 -17.5074 Work out 7 * -27528. -192696 Multiply -123.8 and -421. 52119.8 What is -12 times 6078? -72936 What is -22 times -306? 6732 What is the product of 101258 and -4? -405032 What is 947 times -0.21? -198.87 -49 times -2.18 106.82 Work out -34.5899 * -9. 311.3091 What is
{ "pile_set_name": "DM Mathematics" }
n(k) be the first derivative of 0*k**3 + 15*k + 0*k**2 + 21/5*k**5 + 0*k**4 + 15. Differentiate n(l) wrt l. 84*l**3 Let j(s) be the third derivative of -65*s**4/24 + 55*s**3/6 - 36*s**2. What is the derivative of j(r) wrt r? -65 Let u = 807 + -493. Find the third derivative of 310*x**2 + 5*x**5 + 14*x**5 - 5*x + 0*x + x**6 - u*x**2 wrt x. 120*x**3 + 1140*x**2 What is the second derivative of -1 + k**4 + 1 + 1 + 34*k**2 - 1 + 289*k wrt k? 12*k**2 + 68 What is the derivative of -20*d**2 - 385*d**4 + 17*d**2 - 238 + 61 + 3*d**2 wrt d? -1540*d**3 Let r(j) be the third derivative of 0*j**7 - 13/336*j**8 + 0*j + 0*j**3 - 1/5*j**5 + 0 + 0*j**6 - 11*j**2 + 0*j**4. What is the third derivative of r(s) wrt s? -780*s**2 Let l(q) be the second derivative of 5/12*q**4 + 7*q - 13/2*q**2 + 0*q**3 + 0. Differentiate l(u) with respect to u. 10*u Suppose -2*n = -3*n. Let o = n + 6. Find the second derivative of -2*u**4 - 4*u**4 - 5*u + o*u wrt u. -72*u**2 Find the second derivative of 6 - 136*u**2 - 1 - 3 - 2 + 197*u wrt u. -272 Let z be (-43)/(-1) - (2 + -4). Let s be (6/(-15))/((-3)/z). Find the third derivative of 0*l**3 + l**2 - 3*l**3 + s*l**3 wrt l. 18 Let r(y) be the third derivative of 0*y**5 + 8/105*y**7 + 15*y**2 + 0*y**3 + 0 + 0*y + 11/24*y**4 + 0*y**6. What is the second derivative of r(j) wrt j? 192*j**2 Let f(t) be the third derivative of 3*t**2 + 1/5*t**5 + 0*t + 0*t**4 + 0*t**3 + 0 + 7/60*t**6. What is the third derivative of f(h) wrt h? 84 Let i(o) be the second derivative of -o**6/10 + o**5/5 + o**3/3 - 71*o**2/2 - 2*o + 2. What is the second derivative of i(j) wrt j? -36*j**2 + 24*j Let m be -5*(-2)/((2 - -13)/3). Find the third derivative of -h**m - 2*h**2 - 3*h**2 + 19*h**3 - h**2 wrt h. 114 Let a(r) = -r**2 - r + 4. Let i(d) = 16*d**2 + 2*d + 311. Let v(h) = -2*a(h) + i(h). Differentiate v(w) wrt w. 36*w + 4 Let a(j) be the first derivative of -23*j**2 + 66*j + 115. Differentiate a(o) with respect to o. -46 Let d(i) be the second derivative of 0*i**3 + 0 + 25/2*i**2 + 20*i + 1/6*i**4. What is the first derivative of d(g) wrt g? 4*g Suppose 96 = q + 94. Find the third derivative of 15*s**6 + 4*s**6 + 9*s**2 + s**q wrt s. 2280*s**3 Find the third derivative of -86*n**2 + 167 - 167 - 3*n**3 wrt n. -18 Let l(r) = 6*r - 266. Let b be l(45). Let h(v) be the third derivative of 0 + 0*v + 5/6*v**3 + 6*v**2 + 1/8*v**b. Differentiate h(k) with respect to k. 3 Let z(q) be the second derivative of -3*q**7/7 + q**4/4 - 3*q**3/2 - 100*q + 1. Find the second derivative of z(o) wrt o. -360*o**3 + 6 Let u(o) be the second derivative of 5*o**3/6 + 361*o**2/2 + 240*o. Differentiate u(y) with respect to y. 5 Let o(m) be the first derivative of 15/4*m**4 + 0*m - 5/2*m**2 + 12 + 0*m**3. Find the second derivative of o(a) wrt a. 90*a Let j(x) = -125*x + 48. Let s(d) = -624*d + 242. Let r(n) = 16*j(n) - 3*s(n). Differentiate r(w) wrt w. -128 Let o(b) be the second derivative of -b**6/6 - 3*b**5/10 - 361*b**4/6 - 854*b. What is the third derivative of o(j) wrt j? -120*j - 36 What is the third derivative of 45*i**2 - 9*i**3 - 6*i**3 + 29*i**2 + 0*i**3 + 17*i**2 wrt i? -90 Let c(o) = 2*o**3 - 17*o**2 - 14*o + 7. Let t(n) = n**2 - 2*n + 1. Let b(i) = -c(i) + 6*t(i). What is the second derivative of b(s) wrt s? -12*s + 46 Let i(q) = 285*q**4 - 6*q**2 + 5*q - 46. Let g(p) = -852*p**4 + 21*p**2 - 15*p + 138. Let w(x) = -2*g(x) - 7*i(x). What is the second derivative of w(z) wrt z? -3492*z**2 Let n(v) = -v**3 + 4*v + 3. Let b be n(3). Let k be (8/b)/(8/(-108)). What is the third derivative of 8 - 8 - k*z**2 + 11*z**6 wrt z? 1320*z**3 Let a(g) = -6*g**3 + 2*g**2 - 2. Let f be a(-1). What is the third derivative of 15*h**2 - h**2 + 3271*h**6 - 3278*h**f wrt h? -840*h**3 Let c(q) be the second derivative of 44*q**5/5 - 67*q**3/6 - 4*q - 10. Find the second derivative of c(h) wrt h. 1056*h Let i = 25 + -13. Let f be ((-2)/(-6))/(2/i). What is the second derivative of 2*c - c - f*c - 2*c + c**2 wrt c? 2 Suppose -4 = -182*i + 180*i. Find the first derivative of i - 4 + 25*a**2 + 9 wrt a. 50*a Let l be (-17)/(306/(-336)) + (-1)/(-3). What is the second derivative of 10*a - 2*a**2 + 7*a**4 + 2 - l*a - 3*a**2 wrt a? 84*a**2 - 10 Let t(q) be the first derivative of 5*q**6/6 - 2*q**5/5 + 27*q**2/2 - 59. Find the second derivative of t(z) wrt z. 100*z**3 - 24*z**2 Let z(c) = -c**3 + c**2 - 3*c. Let b(f) = -84*f**3 - 14*f**2 + 42*f - 84. Let u(o) = -b(o) - 14*z(o). Differentiate u(y) with respect to y. 294*y**2 Suppose -4*z - 8 = -20. Let l(w) = 2*w. Let x be l(z). What is the first derivative of 2*s**3 + 4*s**4 - 2*s**3 + x wrt s? 16*s**3 Let w(a) = -261*a - 699. Let n(c) = 87*c + 235. Let s(z) = -17*n(z) - 6*w(z). Differentiate s(h) with respect to h. 87 Let l(s) be the third derivative of -25*s**2 - 31/60*s**5 + 0*s**6 - 5/168*s**8 + 0*s**4 + 0*s**7 + 0*s**3 + 0*s + 0. Find the third derivative of l(j) wrt j. -600*j**2 Let s(a) be the second derivative of -6*a**7/35 - 17*a**3/6 - 3*a**2/2 - 29*a. Let d(l) be the first derivative of s(l). What is the derivative of d(u) wrt u? -144*u**3 Let b(s) be the first derivative of 79*s**6/6 + 55*s**3/3 - 91. Find the third derivative of b(h) wrt h. 4740*h**2 Let k(g) be the second derivative of 4*g**5/5 - g**4/12 + g**3/2 - g**2/2 + 3*g - 52. What is the second derivative of k(t) wrt t? 96*t - 2 Let r(a) = 2 - 3 - a**3 + 0 + 0*a**3. Let s(q) = 6*q**4 - 8*q**3 + 14*q - 8. Let x(f) = 8*r(f) - s(f). What is the second derivative of x(y) wrt y? -72*y**2 Let r(v) = -90*v**2 + 54*v - 6. Let p(n) = 46*n**2 - 27*n + 3. Let i(h) = -7*p(h) - 4*r(h). Find the second derivative of i(b) wrt b. 76 Let k(w) be the first derivative of 17*w**7/42 + 13*w**3/6 + 8*w - 9. Let v(m) be the first derivative of k(m). Find the second derivative of v(r) wrt r. 340*r**3 Let o(n) be the second derivative of n**6/15 + 4*n**4 + 18*n**3 - 269*n. What is the second derivative of o(p) wrt p? 24*p**2 + 96 What is the second derivative of 24576*b**3 - 24680*b**3 + 30*b + 3*b**2 + 2 + 91*b wrt b? -624*b + 6 Let v(j) be the first derivative of 0*j**2 - 10*j**3 + 0*j**6 - 6/7*j**7 + 0*j**4 + 0*j**5 + 30 + 0*j. What is the third derivative of v(q) wrt q? -720*q**3 Suppose 0 = -5*w - 0*w - 2*l + 14, -13 = -4*w - l. What is the third derivative of -3*y**2 - 9*y**6 + 0*y**6 + w*y**6 wrt y? -600*y**3 Let i(w) be the second derivative of -353*w**7/42 - 23*w**3 - 199*w. Find the second derivative of i(h) wrt h. -7060*h**3 Let c(p) = -p**2 - 12*p + 18. Let n be c(-13). Suppose -w + 4*u - 7 = 0, 2*u - 1 = 2*w - n. What is the second derivative of -w*z**3 - 4 + 0 + 4 + 2*z wrt z? -30*z Let u = 55 - 39. What is the second derivative of -u*b**4 + 100*b - 35*b - 37*b wrt b? -192*b**2 What is the derivative of 7182*c**4 - 7184*c**4 - 228*c**2 + 78*c**2 + 719 - 106 wrt c? -8*c**3 - 300*c Let a(z) be the second derivative of -57*z**7/14 + z**4/6 + 12*z**3 - 23*z. Find the second derivative of a(d) wrt d. -3420*d**3 + 4 Let m(w) = -266*w**4 - 6*w**2 - 3*w - 20. Let r(j) = -267*j**4 - 7*j**2 - 3*j - 19. Let z(v) = -7*m(v) + 6*r(v). What is the second derivative of z(p) wrt p? 3120*p**2 Let g(i) = -577*i**2 - 308*i - 4. Let j(t) = 193*t**2 + 101*t + 1. Let s(p) = 2*g(p) + 7*j(p). Find the second derivative of s(z) wrt z. 394 Let o(l) = -l + 14. Let p be o(11). Find the third derivative of -11*t**2 - t**3 - t**3 + 2*t**2 + 11*t**p wrt t. 54 Let v(p) be the first derivative of 23*p**6/2 - 52*p**2 - 99. What is the second derivative of v(i) wrt i? 1380*i**3 Let h(g) = -2*g**2 + 3*g - 2. Let k(y) = -12*y**2 - 19*y - 569. Let x(s) = 5*h(s) + k(s). What is the first derivative of x(b) wrt b? -44*b - 4 What is the first derivative of 120 - 72*q + 85*q + 213*q - 136 wrt q? 226 Let s(w) be the second derivative of -49*w**5/20 - 77*w**3/3 - 42*w. What is the second derivative of s(m) wrt m? -294*m Suppose 0 = -4*h + 1 + 7. What is the second derivative of 2*g**4 - 7*g - 2 + h wrt g? 24*g**2 Let b(j) be the second derivative of 0*j**3 + 4/5*j**6 + 0 + j + 0*j**2 + 0*j**5 - 13/6*j**4. What is the third derivative of b(d) wrt d? 576*d Find the second derivative of 6*v**3 - 9*v**3 + 0 - 22*v + 0 + 12*v**4 wrt v. 144*v**2 - 18*v Suppose -3*r = y + 11, 18 = 2*y - 2*r - 0. Let o(b) = -b + 2. Let q be o(-3).
{ "pile_set_name": "DM Mathematics" }
u prime? True Suppose -3*s + 20 = -8*s, 4*z - 2*s + 6088 = 0. Let d = 3097 - z. Is d a composite number? False Let h be 0 + 8 + 2 + -2 + 2. Is (-12836)/h*(-35)/14 prime? True Let u(s) = 936*s**3 + 2*s**2 + s - 2. Let d be u(1). Let w(q) = 46*q - 6. Let f be w(-9). Let g = f + d. Is g a prime number? False Let r = 42 - 46. Let y(h) = -h + 8. Let u be y(r). Let v(j) = 2*j**2 + 3*j - 29. Is v(u) a prime number? False Let x(w) = 47*w**2 - w - 1. Let a be x(2). Let o = 23709 - 23699. Suppose 5*q + a = o*q. Is q a composite number? False Is 37060 + 15/6*2 + -8 prime? True Let p(w) = 240*w + 59. Let n be 154/10 - (-2)/(-5). Is p(n) a prime number? True Let a be -1 + 0 + 11*140. Suppose -4*j - 4*y - 2256 = 0, -2*y = -3*j - 0*y - 1652. Let u = j + a. Is u prime? True Suppose 74*w + 81*w + 2420647 = 172*w. Is w composite? False Is (11/11)/((2/1497)/((-1802)/(-51))) prime? False Let z be 13*890 - -1*(4 - 3). Suppose 0 = 11*v + 4520 - z. Is v prime? True Is (-13)/(-338) + 216346192/416 composite? False Suppose 0 = -5*w - 2*l + 143197, 35399 = 2*w - 2*l - 21877. Is w prime? False Let k be 1/((-105)/(-25) + -4). Suppose k*g - l - 33 = 0, 3*g = 7*g - 5*l - 39. Suppose g*i - 3409 = -i. Is i prime? True Suppose -2*g - 794 = 3*g - t, 154 = -g - t. Is (5 + -1)*3/((-24)/g) composite? False Let d(p) = 5 + 5 - 1 + 7*p. Let o be d(-3). Is 3*(-4)/o + 292 a composite number? False Let q(w) = -w**3 + 23*w**2 - 16*w - 63. Let h be q(22). Suppose 3*t - 26341 = -4*y, 5*y - 73*t + h*t = 32965. Is y a prime number? False Let r(g) = 5*g**3 - g**2 + 26*g + 5. Let d be r(7). Let u = 1169 + d. Is u composite? True Suppose 0 = -3*g + 3*z + 2*z + 28836, 5*z = 2*g - 19219. Is g a composite number? True Suppose n - 70 = h, 4*n + 5*h - 2*h - 273 = 0. Suppose -58 - n = -q. Is q prime? True Suppose -3*a - 6 = -6. Suppose a = 10*o - 7*o. Is o - -3 - 0 - -2*58 a composite number? True Let i be (1/2)/((-3)/(-36)). Let l be 4221/i*4/6. Is (1 - (-2 + -1)) + l composite? True Suppose 0 = 7*q + 30*x - 29*x - 982337, -5*q + 4*x + 701641 = 0. Is q composite? False Let z = 109180 - 41361. Is z a prime number? True Let h(o) = 4*o**3 - 6*o**2 - 8*o - 4. Let r be h(6). Let u(s) = 23*s**2 + 10*s - 4. Let l be u(-5). Suppose -r = -b + l. Is b a prime number? True Let p = -33620 - -50640. Suppose -p = -b - 19*b. Is b prime? False Let f be (4 - 19)/60 - (-12733)/4. Suppose 3*r - 4*z = f, z - 3183 = -3*r + 4*z. Is r a prime number? True Let r = 38 + -32. Let q be -3*(-694)/r + -4. Suppose 8*p - q = 929. Is p prime? False Let b = -105315 - -210254. Is b a prime number? False Is -1*(-3 + 70/15 - (-275064)/(-36)) composite? False Let k(q) = -q**3 + 12*q**2 + 5*q + 7. Let g be (-2 - 2)/(18/(-9)). Suppose g*c + 9 = 29. Is k(c) prime? True Let j(p) be the first derivative of 7*p**2 + 2/3*p**3 + 37 - 35*p. Is j(14) composite? True Suppose 0 = 26*u - 23*u + 99. Let r be 0 + ((-110907)/u - (-2)/11). Suppose -t - 2015 = -3*n, r = 2*n + 3*n - t. Is n composite? False Let z be (-2)/4*(-7 - -1). Is -1 - ((-2)/z + 32170/(-3)) a composite number? False Let r be 1 + 9 + 4*3/3. Is (113463/r)/9*2 a prime number? True Let o be (-390)/65*4/6. Is 8/12*(1 + (-1010)/o) composite? True Suppose y + 2*p = 9396, -5*p = y - 521 - 8869. Let m = -5199 + y. Is m composite? False Suppose 0 = 8*n + 2*u - 47608, -5*n = -27*u + 26*u - 29755. Is n composite? True Suppose -o = 5*o - 21264. Suppose 3*u - 5*i - 245 = 1859, o = 5*u + i. Suppose u = d + 191. Is d a composite number? True Let b = -86 - -91. Suppose b*n + 1980 = 17*n. Is -1945*((-2)/(-6) - 88/n) a composite number? False Let y be ((-7)/(-21))/(3/27). Suppose 3*c + 26912 = j, 5*c - 48882 - 31812 = -y*j. Is j a composite number? False Suppose 0 = -2*o + 5*o + 10*o. Suppose o = -55*j + 4*j + 260763. Is j prime? True Let i = 174 + -172. Suppose 5*t + 11344 = 4*v, -i*v + 3584 = -4*t - 2082. Is v prime? False Let p = 34941 - 18788. Is p prime? False Let j(h) = 3552*h**2 - 49*h - 613. Is j(-12) a composite number? False Let w(f) = 4*f**3 - f**2 - 5*f + 21. Let l be w(-4). Let a = 288 + l. Is a a prime number? False Let c(h) = 3*h + 12. Let t be c(0). Suppose 11*k - t = 10. Suppose 5*d = -u - k*u + 454, 5*d - 2*u = 439. Is d a composite number? False Suppose 0 = -4*g - 5*l + 37219, -4*g - 3*l + 9647 = -27582. Is g composite? False Let d(x) = -x**2 + x + 2. Let k be d(3). Let w(j) = j**3 + 6*j**2 + 7*j + 2. Let z be w(7). Is z + ((-3)/(-2))/((-6)/k) composite? True Suppose 5*z = 3*n + 2*n + 448265, -8 = 2*n. Suppose -20*l = l - z. Is l prime? False Let n(z) = -2*z**3 - 8*z**2 + 7*z - 24. Let l be n(7). Let w = l + 4052. Is w prime? True Let b(a) = 438*a**2 + 128*a - 1369. Is b(10) prime? True Is 30529/((323/(-209))/(-17)) a prime number? False Suppose -2*l = -5*z + 5, -l - 3 + 17 = 3*z. Suppose -l*p - 3*t = -21694, -3*p = -2*t - 0*t - 13005. Is p a composite number? False Is 3 - (2 - 9) - (28 + -117257) prime? True Suppose -3*j - 3165 = -6*j. Let v = j + 1234. Let s = v + -762. Is s a composite number? True Let z(r) be the second derivative of r**5/20 + 7*r**4/12 + 7*r**3/6 + 4*r**2 + 14*r. Let f be z(-6). Suppose -6*t + f*t = -776. Is t a prime number? False Is (870/20)/((-87)/(-137866)) prime? False Let n(q) = 11*q**2 - 52*q + 24. Let a be 2673/(-117) + 56/(-26) + 2. Is n(a) composite? False Suppose 2*j - 3 = -5, 0 = 3*n - 5*j - 5. Suppose -6*l - l + 5173 = n. Is l prime? True Let w(z) = -22*z - 181. Let u be w(-8). Let k be (554/(-6))/((-2)/6). Is (7*k)/((-4 - u)*1) prime? False Let f(q) = 213*q**2 - 8*q - 22. Suppose -70 + 31 = 13*x. Is f(x) prime? False Let g be 12443/230 + 2/(-20). Let m be (13/13)/(2/14). Is (m/(-2) - (-15)/30) + g a prime number? False Let g(b) = 6*b + 9. Let c(d) = 5*d + 8. Let t(h) = -5*c(h) + 4*g(h). Let m be t(-3). Is 413*(-1)/(m/1) a composite number? True Is 57/1140 + 195318/40 a prime number? False Suppose 0 = 27*p - 2874780 - 90014 + 632453. Is p composite? True Let d = -3329 - -8343. Suppose -5349 - 1657 = -2*b. Let x = d - b. Is x composite? False Suppose 11*w = 7*w - 15300. Let i = -742 - w. Is i a composite number? False Suppose 0 = -2*h - 3*j + 7, 9*j - 3 = 6*j. Let g(i) = -i**3 - i**2 + 11*i - 21. Let b be g(h). Is b/(160/(-52) + 3) composite? True Let s be (-4 - (-22)/4)/((-3)/(-4)). Suppose -h - s*h = 4*x + 3, 5*x - 5 = -2*h. Suppose -g - 20 = x*g, -p + 1287 = -g. Is p prime? False Let u(j) = 2*j**3 + 3*j**2 + 11*j + 90227. Is u(0) composite? False Let d = 17 + -7. Let t(n) = 4*n**3 - 12*n**2 + 11*n + 1. Let y(q) = 9*q**3 - 25*q**2 + 22*q + 1. Let j(x) = 7*t(x) - 3*y(x). Is j(d) a prime number? False Let d = 142728 + -44521. Is d a prime number? True Let w be -4 + (46/(-69))/(1/36). Is (23338/(-56))/(1/w) a prime number? False Let z(o) = 125*o + 38. Let l(d) = 2*d + 24. Let v be l(-5). Let p be z(v). Let s = p + 623. Is s composite? False Let b = -15 - -28. Suppose -b*s + 5*s = -888. Suppose 0*r - r = -s. Is r composite? True Let y = 979 + -574. Let n = y + -65. Let q = 1563 + n. Is q a prime number? False Suppose 0 = -129*w + 132*w - 14643. Let d = w + -1294. Is d a composite number? True Let p be -1*(-7)/((-28)/(-7852)) - -4. Let z = p - 906. Is z a prime number? True Let l be 2/3 - 5484/(-9). Suppose -l = -a - 16. Let k = a + -217. Is k a prime number? False Let w = -40 - -62. Let y = -24 + w. Is (330/(-90))/(y/1146) prime? False Let b(j) = j**3 - j**2 + 48. Let x be b(8). Let k = 1497 + x. Is k a composite number? False Suppose -1907 = 4*t + 3*d - 11531, -5*t - 2*d = -12037. Is -3 + t - (6 + -7) a composite number? True Let d = 23 - 19. Suppose -14 = q + d*q + 2*n, 4*q - 3*n = -2. Is (2514/(-18))/(q/6) a composite number? False Suppose -5*t - 3*c = -275961, -19*t + 165575 = -16*t + c. Is t a composite number? True Let h(s) = -3*s**2 + 2*s + 4. Suppose 5*d - 3*m = 7 + 19, -4*m + 4 = 3*d. Let f be h(d). Is (-1715)/(-9) + f/(-81) a composite number? False Let o be 6/60 - 45396/(-40). Suppose 3*d - 11 + 5 = 0, -3*p = 2*d - o. Is p composite? True Suppose -28976 = -3*j + 2*w, 48315 = 5*j - 8*w + 9*w. Is j a prime number? False Suppose -11 = -f + 2*g, 3*f - 2*g + 5 = 18. Let x(i) = 398*i**2 - 3*i - 31. Let y(t) = -198*t**2 + t + 14. Let w(h) = -4*x(h) - 9*y(h). Is w(f) prime? True Let h be (5 + -6)*-8 - -7023. Let i = h + -2958. Is i prime? T
{ "pile_set_name": "DM Mathematics" }
k)? 6 Let g = -5 + -104. Let u = 217 - g. What is the hundreds digit of u? 3 Suppose 21 - 69 = -4*k. Suppose k*j + 2*j = 4564. What is the hundreds digit of j? 3 Let n = 7118 + -4160. Let a be (-2)/21*3 - n/(-14). Let k = 497 - a. What is the hundreds digit of k? 2 Suppose -3*g + 4*g = -l + 6, 0 = l - 2*g. Suppose -4*c = k + l*k - 2423, -k - 3*c + 478 = 0. What is the hundreds digit of k? 4 Suppose 5*m - 417342 = -12*l, 4*m + 79487 = 2*l + 9959. What is the ten thousands digit of l? 3 Let j(m) = -m**2 - 10*m - 21. Let c be j(-5). Suppose -4*i + 928 = -c*z, 6*i - 2*i - 904 = -2*z. What is the tens digit of i? 2 Suppose -42*j + 24*j + 90 = 0. Let c = 8 - 4. Suppose -66 = -5*s - c*v, 10*v = j*s + 5*v - 75. What is the units digit of s? 4 Suppose -1150290 - 307235 = -163*o + 1822035. What is the tens digit of o? 2 What is the thousands digit of (-589)/152 + 4 + 34935/8? 4 What is the units digit of (1 + (684/8)/3)*(-48)/(-1)? 6 Let k be ((6 - 12) + 17)/1. Let m(u) = 121*u + 252. What is the units digit of m(k)? 3 Let x(v) = v + 2285. What is the thousands digit of x(40)? 2 Suppose 0 = 3*h - 4*i - 24, -4*h = -h + 2*i - 6. Let b be h/22 - (202/22 - 3). What is the units digit of -2*((-15)/b)/(-5)? 1 Suppose -4*m + 24 = -0*m - 2*h, 2*m + h - 20 = 0. Suppose 4*u = m*u - 24. Suppose 3*y - u*y + 33 = 0. What is the tens digit of y? 1 Suppose 3*g - 98133 = 3*x, 15*g - 12*g + x - 98153 = 0. What is the units digit of g? 6 Let g(r) be the second derivative of r**4/4 - 2*r**3/3 + 8*r**2 + r. Let t(n) = -n**3 - 35*n**2 + 42*n + 211. Let k be t(-36). What is the tens digit of g(k)? 1 Let q(y) = -y**2 - 5*y. Let m be q(-5). Suppose m = 4*g + 5*t - 446, -g - 3*t - 321 = -4*g. What is the hundreds digit of g? 1 Let f(h) = -h**3 + 27*h**2 - 4*h - 63. What is the tens digit of f(16)? 8 Let j = -115414 + 166281. What is the units digit of j? 7 Let k = -75360 - -106691. What is the hundreds digit of k? 3 What is the units digit of (3 + -7 - -1620) + (7 - (-28)/(-7))? 9 Suppose 0 = -53*a - 3*a + 6*a + 569550. What is the hundreds digit of a? 3 Let t be (-10 + 14/2)/((-2)/230). Suppose -3*o + 1194 = -t. What is the units digit of o? 3 Let i(p) be the second derivative of 3*p**5/20 + p**4/3 + p**3 - 3*p**2/2 - 254*p. What is the units digit of i(6)? 5 Let c be 204/(-2 + 3 - 0). Let q be ((-2)/6)/(4 + (-812)/c). Let j = 27 + q. What is the tens digit of j? 1 Let u(p) = 31 - 39 + 43*p + 33. What is the tens digit of u(4)? 9 Let h(f) = 31*f**2 + f. Let t be h(3). Let v = t + 10. What is the tens digit of v? 9 Let h = 361 + -8. Let w = 686 - h. What is the hundreds digit of w? 3 Let s(h) = 181*h**2 + 253*h - 8. What is the thousands digit of s(6)? 8 Suppose 2*x + t - 25792 = 11096, 5*x - 4*t - 92246 = 0. What is the ten thousands digit of x? 1 Let f = -19345 + 54994. What is the units digit of f? 9 Suppose 0 = 2*d, -147*d + 269052 = 4*f - 148*d. What is the hundreds digit of f? 2 Suppose 23*s - 21*s - 282 = 0. Let i be 6/48 + s/24. What is the tens digit of 4 + (-4)/i*3 - -47? 4 Suppose -62*h - 62220 = -113*h. What is the tens digit of h? 2 Let n(j) = 7*j**3 - 7*j**2 + 3*j + 5. Let w(v) = -8*v**3 + 9*v**2 - 2*v - 5. Let l(i) = -3*n(i) - 2*w(i). Let b = 13 + -16. What is the units digit of l(b)? 2 Let u(a) = a**2 - 3*a - 40. Let s be u(-6). Suppose -10*r - 20 = -2*k - s*r, 2*r - 16 = -2*k. What is the units digit of k? 6 Let i = -35 + 27. What is the units digit of (-1)/((-2 - i)/(-642))? 7 Let s(h) = 191*h**2 - 10*h - 380. What is the thousands digit of s(-14)? 7 Suppose 96*g - 97*g - 13939 = -2*x, x + 3*g - 6987 = 0. What is the thousands digit of x? 6 Let z be (5 + (4 - 8))/((-4)/(-8)). Suppose 3*b + 78 - 1923 = -5*l, 2*b - 742 = -z*l. Let v = l - 180. What is the tens digit of v? 8 Let j be 203/42 - 5 - 670/12. Let t = j + 182. Suppose 4*r + p + 64 - 631 = 0, r - 5*p = t. What is the hundreds digit of r? 1 Let m be 2/4*350/35. Suppose -1593 = m*t - 8*t. What is the tens digit of t? 3 Suppose -7*x + 3*x + 51 = -3*p, -5*p - 41 = -3*x. Suppose -17*r = -18*r - x. What is the units digit of 33*4/r*-8? 8 Let f be (-705)/10 + 2 + (-9)/6. What is the tens digit of 1 + (190/(-4))/(7/f)? 7 Let b be (-4)/(9 - 5 - 2) + -1120. What is the hundreds digit of (8 + b)/((-4)/2)? 5 Suppose -193*p + 1140996 = -1208239 - 262055. What is the ten thousands digit of p? 1 Let w = 6118 + 16226. What is the hundreds digit of w? 3 Let g = 588 + -555. Suppose 0 = -36*v + g*v + 993. What is the hundreds digit of v? 3 Let k(x) = -3*x**2 + 23*x - 221. Let l be k(24). Let f = -307 - l. What is the tens digit of f? 9 Let d(s) be the second derivative of s - 9*s**2 + 0 + 3/2*s**3. What is the tens digit of d(13)? 9 Let j(r) = 6*r**3 - 32*r**2 + 6*r - 16. What is the thousands digit of j(11)? 4 Let t(c) = c**3 - 4*c**2 + 5*c + 3. Let r be t(2). Suppose 4*k + 2268 = 3*q - 3048, -r*q = -3*k - 8860. What is the units digit of q? 2 What is the ten thousands digit of (-228)/(-6)*(-7)/(105/(-12990))? 3 Let v be (-36750)/(-55) + 2/(-11). Suppose 0*k = 4*k - v. Suppose c - n - k = -2*n, -c + 185 = -5*n. What is the tens digit of c? 7 Let j = -7262 + 13467. What is the hundreds digit of j? 2 Let v(t) be the third derivative of 3*t**6/20 + t**5/15 - 3*t**4/8 + 13*t**3/2 - 121*t**2. What is the tens digit of v(3)? 3 Let j(t) = 966*t**2 + 29*t + 157. What is the units digit of j(-3)? 4 Let a(l) = -l - 1. Let w(p) be the second derivative of -p**4/12 - p**3/3 - 2*p**2 + 13*p. Let z(x) = -a(x) - w(x). What is the units digit of z(-10)? 5 Let f = 283 - 125. Suppose 3*k = f - 638. Let x = k - -224. What is the units digit of x? 4 Suppose -111*x - 325699 = -116*x + l, 0 = 5*x + l - 325681. What is the ten thousands digit of x? 6 Let t(p) = -965*p + 675. What is the thousands digit of t(-6)? 6 Let p(j) = 56*j**3 - 11*j**2 - 9*j + 22. Let b be p(8). Suppose -5*i = 22*i - b. What is the tens digit of i? 3 Let s = -103 + 113. Suppose -s*u + 7*u = -990. What is the tens digit of u? 3 Suppose 4*w - 1233 = i - 262, 5*w - 3*i - 1219 = 0. Let z = w + 174. What is the tens digit of z? 1 Let v = 184 + -182. Suppose h - 2*q - 59 - 129 = 0, -v*q = -5*h + 932. What is the tens digit of h? 8 Let o be (4/3)/(-4)*(-251 + -25). Let k = o - 49. What is the tens digit of k? 4 Let q(r) = 4*r**2 + 1. Suppose 15 + 0 = 5*y - 5*k, 4 = -k. Let w be q(y). Suppose -f = -5*p + 740, 2*p = -4*f + w*f + 296. What is the hundreds digit of p? 1 Let a = -9830 + 17538. What is the units digit of a? 8 What is the units digit of ((-204)/42)/((-23)/51681)? 4 Let b = -13475 - -27878. What is the thousands digit of b? 4 Suppose 44*u - 38*u - 156 = 0. Suppose 2*i = 46 - u. Let c = 67 + i. What is the tens digit of c? 7 Suppose -4*c + 0*y + 14 = y, y + 10 = 4*c. Suppose -12 = -4*v, -c*d - 9 + 0 = -3*v. Suppose 2*m - 10 - 24 = d. What is the tens digit of m? 1 Suppose 17*u + 156 = 56*u. Suppose -f + 812 = -4*x, x - 3185 = -4*f - u*x. What is the hundreds digit of f? 8 What is the hundreds digit of 11493 - 0 - (-7848)/654? 5 Let h be -3 + 5/((-10)/(-6)). Suppose h = 21*n - 20*n - 136. What is the hundreds digit of n? 1 Suppose 4841 = 2*p + o - 67, 4*p - 5*o - 9788 = 0. What is the tens digit of p? 5 Let p = 37157 + -9716. What is the ten thousands digit of p? 2 Let r = 6 + 78. Let l = 98 - r. Let h = l + 18. What is the tens digit of h? 3 Suppose 21*p + 1696 = 37*p. Suppose 115*i - 414 = p*i. What is the units digit of i? 6 Let c(u) = -3*u + 36. Let r be c(-12). Let q = 71 - r. What is the units digit of q*(-2 + -3 - 79)? 4 Let o = -426 + 426. Suppose o = -5*k - 16*k + 7434. What is the units digit of k? 4 Let k be (496/24)/((-4)/6) - 4. What is the tens digit of 2/5 + (195804/k)/(-14)? 0 Suppose -11 - 9 = -5*b, -2 = -2*i + b. Let d(c) = c**2 - 4*c - 3. Let v be d(5). Suppose -i*p + 253 + 209 = 4*z, 226 = v*z + 4*p. What is the units digit of z? 7 Let k(d) = 15*d**2 - 2*d - 1. Let h be k(-2). Let g = h - -281. Suppose -5*v + g = 4*j, -v + 101 = j + 4*v. What is the tens digit of j? 8 Let w be 4/(-1) - (-36)/(-9). What is the hundreds digit of 1 + (w - -12) + 125/1? 1 What is the tens digit of -4*(-1)/2 - (-6829 + -5)? 3 Suppose 4*r - 78208 = 2*y, 117*r - 113*r - 78202 = y. What is the hundreds digit of r? 5 Let j be (14/4 - 0)*36. Suppose p - 117 = j. What is t
{ "pile_set_name": "DM Mathematics" }
t**5 - 39*t**2 wrt t. 33300*a*t**2 + 240*t**2 Find the third derivative of -217*k**6 + 95*k**5 + 116*k**2 + 99*k wrt k. -26040*k**3 + 5700*k**2 Differentiate 40609*b**3*m**3 - 2*b**3 - 9*b**2 + 3*m**3 + 7104 wrt m. 121827*b**3*m**2 + 9*m**2 What is the second derivative of -1052*g**3 - g**2 - 55498*g? -6312*g - 2 What is the second derivative of -7986*i**3 - 10*i**2*z + i*z + 34097*i wrt i? -47916*i - 20*z Find the second derivative of 1195*i**5 + 134*i**2 - 3*i - 10385 wrt i. 23900*i**3 + 268 Differentiate 8*b**4 + 2*b**3 - 14096*b**2 + 231071. 32*b**3 + 6*b**2 - 28192*b Find the second derivative of 2*t**2*x**2 + 4680*t**2*x + 44*t*x**5 - 7*x**4 + 1 wrt x. 4*t**2 + 880*t*x**3 - 84*x**2 What is the third derivative of 1327181*j**5 - 3*j**2 - 424*j - 93? 79630860*j**2 Find the second derivative of 27126*s**4*t + 2*s**3*t - s**3 - s*t - 3*s - 73*t - 3 wrt s. 325512*s**2*t + 12*s*t - 6*s What is the third derivative of 49232*j**5*u**2 - j**3 + 21*j**2 + 83*u**2 - u wrt j? 2953920*j**2*u**2 - 6 Differentiate -59*o*u**3 - 4*o*w - 19835*u**3*w + 5*w**2 + 14029 with respect to w. -4*o - 19835*u**3 + 10*w Find the second derivative of -c**5 + 2819*c**4 - 12*c**2 + 660*c + 446 wrt c. -20*c**3 + 33828*c**2 - 24 What is the first derivative of 9*m*t**3 - m*t**2 + 589*m - 794*t**3 wrt m? 9*t**3 - t**2 + 589 What is the second derivative of 90987*c**3*n**2*p**2 + c**3*n**2 - 3*c**3*p**3 + 6*c*n**2*p - 2451*n*p wrt p? 181974*c**3*n**2 - 18*c**3*p Find the third derivative of -23*l**3*t**6 - 184059*l**3 - l**2*t**2 + 20002*t**6 - 1 wrt t. -2760*l**3*t**3 + 2400240*t**3 Differentiate -3*g*x - 22859*g + 2789*x + 1 wrt x. -3*g + 2789 Find the third derivative of -2538878*q*z**3 + q*z**2 - 360588*q*z wrt z. -15233268*q What is the first derivative of -481*h**3*u - 72*h**2*u**2 + 49*u**2 - 2*u + 40 wrt h? -1443*h**2*u - 144*h*u**2 Differentiate 3306*s*z - 109*s - z**2 - 432 wrt z. 3306*s - 2*z Differentiate -11*q**4 - q**3 - 777*q**2 + 239158. -44*q**3 - 3*q**2 - 1554*q What is the third derivative of -72*a**4 - 1279*a**3 + 161054*a**2? -1728*a - 7674 What is the second derivative of -64*i**3*x**2 + 10*i**3*x - 2*i**2*x - 221*i**2 - 217*x**2 wrt x? -128*i**3 - 434 Find the third derivative of -c**2*n**3*r + 13*c**2 - 2*c*n**3 - 2*c*n**2 - 2*c*n + 150*c*r - 13205*n**3 + 2 wrt n. -6*c**2*r - 12*c - 79230 Find the first derivative of 40*h**2*j + h**2 + 2*h*j - 46*h + 2*j + 21997 wrt h. 80*h*j + 2*h + 2*j - 46 Find the third derivative of -2*c**6 + 115*c**5 - 85*c**3 + 357759*c**2. -240*c**3 + 6900*c**2 - 510 Find the third derivative of -8630*y**5 + 5*y**3 + y**2 + 11076*y - 2. -517800*y**2 + 30 Find the third derivative of 1677*a**3*h - 100*a**3 + a**2*h + 100137*a**2 - 1 wrt a. 10062*h - 600 Find the first derivative of -2372*f**2 - 107*f*w + 835542*w wrt f. -4744*f - 107*w What is the second derivative of -11676*t**2*z**2 - t**2*z + 6*t*z - 75*z**2 - 13*z wrt t? -23352*z**2 - 2*z Find the second derivative of 216318*n**2 - n + 11199. 432636 Differentiate -3*g**2*k + 478601*g*k**3 - 8952*k**3 + k**2 + 38 with respect to g. -6*g*k + 478601*k**3 Find the third derivative of 1003103*p**4 - 2*p**3*y**2 + 2641534*p**2*y**2 wrt p. 24074472*p - 12*y**2 Differentiate -27*m**2 + 2884*m + 124653 wrt m. -54*m + 2884 What is the second derivative of -21478*c**3 + 11*c**2*h*n - c**2*h + c*h*n - 2127*c - 20*h wrt c? -128868*c + 22*h*n - 2*h What is the first derivative of 182382*r**3 + 2*r**2*u + 2*u - 478746 wrt r? 547146*r**2 + 4*r*u Find the first derivative of -2*b*j*s + 2420382*b*j - 728448*j*s wrt s. -2*b*j - 728448*j Find the second derivative of 1974*a*h*i*s - 6*a*h*i - 2*a*h - 101*a*i*s**2 - 19*a*s**2 - h*i*s - 13*h*s**2 wrt s. -202*a*i - 38*a - 26*h Find the second derivative of 24*n**5 - 7*n**4 - 2*n**2 - 73*n + 16. 480*n**3 - 84*n**2 - 4 What is the third derivative of 10339*c*p**3*w**3 - c*p**3*w**2 - 87*c*p**2*w**3 + 2*c*p*w - 5*p**3*w - 60*p**3 - 3*p**2*w + 2*p + 2*w**3 wrt w? 62034*c*p**3 - 522*c*p**2 + 12 What is the second derivative of -287933*g**3 + 1360415*g wrt g? -1727598*g Find the first derivative of -c*d**3*g - 7198*c*d**3 + 7*c*d - 10*d**3*g + 27*d**3 + 14375*g wrt g. -c*d**3 - 10*d**3 + 14375 Find the first derivative of 3926195*n - 2775716 wrt n. 3926195 Differentiate 170*q**3*s*x**3 + 808*q**3*x - q*s + 89*q*x**3 - 2314*s*x**3 with respect to s. 170*q**3*x**3 - q - 2314*x**3 Find the first derivative of -5*l*p*u*x**3 + l*p + 2*l*u*x + 5*l*u + 10*l*x + 57*p*x**3 + 4*p - 7*u*x**3 - u*x wrt p. -5*l*u*x**3 + l + 57*x**3 + 4 Find the first derivative of -4191*t**4 + 9*t**3 + 44994 wrt t. -16764*t**3 + 27*t**2 What is the third derivative of 40*c**6 - 9*c**4 - 18*c**3 - 220*c**2 - 3*c + 16 wrt c? 4800*c**3 - 216*c - 108 Find the third derivative of -44247*s**3 - 44*s**2 - 89*s wrt s. -265482 Differentiate -65771*v*y - 2*v + y + 37106 with respect to v. -65771*y - 2 What is the third derivative of 5*o*p**4 - 43*o*p**3 - 63977*o*p**2 - 10*p**4 wrt p? 120*o*p - 258*o - 240*p What is the third derivative of 286062*s**6*t**2 - 2*s**4*t**3 - 1597*s**2*t**3 + 150*t**3 wrt s? 34327440*s**3*t**2 - 48*s*t**3 What is the third derivative of 33280*d**3 + d**2 - 4536*d + 1? 199680 Differentiate -119238*f - 107609 with respect to f. -119238 Find the first derivative of -151360*q**3 - 87823 wrt q. -454080*q**2 What is the second derivative of 1938746*d**2*g - d*g + 3*d - 33975*g - 1 wrt d? 3877492*g What is the third derivative of -223359*x**3 - 42*x**2 - 50? -1340154 What is the derivative of -15*v*w**3 - 6*v*w + 24*v - 2*w**3 + 2*w**2 - 14585 wrt v? -15*w**3 - 6*w + 24 Find the third derivative of 54*v**6 + 3*v**4 + 180*v**3 + 2*v**2 - 3*v + 33562 wrt v. 6480*v**3 + 72*v + 1080 What is the first derivative of -14*d**4 - 6*d**3 + 57*d**2 - 149638? -56*d**3 - 18*d**2 + 114*d What is the derivative of -2*p**3 + 20893*p - 490364? -6*p**2 + 20893 Differentiate 210*s**3*x**2 - 58783*s**3 - 48*s*x**2 wrt x. 420*s**3*x - 96*s*x What is the second derivative of 475386*d**2 + 429093*d? 950772 Find the first derivative of 7*g**2 + 593*g - 80117. 14*g + 593 What is the third derivative of -555713*a*b**3*g**2 + 17*a*b**2*g**2 - 15609*a*b*g**2 - 2*a*b*g wrt b? -3334278*a*g**2 What is the second derivative of 158381*z**4 + 13*z**3 + 32*z - 30666? 1900572*z**2 + 78*z Find the third derivative of -3*j**3*x**4 - 10*j**3 + 196*j**2*x**2 + 4*j**2 + 1372*j*x**6 - j wrt x. -72*j**3*x + 164640*j*x**3 Find the third derivative of -2994*w**6 - 30*w**5 + 2*w**2 + 2*w + 1587 wrt w. -359280*w**3 - 1800*w**2 Find the third derivative of 3686141*b**3 + 2454768*b**2. 22116846 What is the third derivative of -3107249*g**3 - 2603*g**2 + 126*g? -18643494 Find the first derivative of 198725*n**4 - 490049 wrt n. 794900*n**3 What is the derivative of -249209*y + 1495758? -249209 What is the third derivative of 1880577*v**5 + 2127965*v**2? 112834620*v**2 Find the first derivative of -764*x**4 + 2*x + 33338 wrt x. -3056*x**3 + 2 What is the third derivative of 6227*j**6 - 143*j**3 - 1892776*j**2? 747240*j**3 - 858 Differentiate 17933*a*f**2 + a*f*x**3 + 4*f**2*x - 4*x**3 - 4*x wrt a. 17933*f**2 + f*x**3 Find the first derivative of 2*x**4 - 59825*x**2 + 77901 wrt x. 8*x**3 - 119650*x What is the derivative of 2*g**3 - 3545*g**2 - 6*g + 470672 wrt g? 6*g**2 - 7090*g - 6 Find the third derivative of -1964*f**4*j*q + 96*f**4*j - f**3 + f**2*j*q + 1768*f**2*j - 5*f**2*q - 7*f*j - j + 3*q wrt f. -47136*f*j*q + 2304*f*j - 6 Differentiate 192948*q**3 + 208830 with respect to q. 578844*q**2 Find the third derivative of -23334*i**5*p**3 - 2*i**4*p**3 + 2*i**2 + 8529*p**3 wrt i. -1400040*i**2*p**3 - 48*i*p**3 Find the second derivative of -1031526*t**4 - 8309*t - 30. -12378312*t**2 Find the second derivative of 1999300*a**2*z + 48251*a*z - 9*z wrt a. 3998600*z Find the first derivative of 122319*q**3 - 18423. 366957*q**2 What is the third derivative of 140069*g**3 + 415353*g**2 wrt g? 840414 Find the first derivative of s**2 - 15338*s*z**3 + 26*z**3 + 4*z**2 - 12*z wrt s. 2*s - 15338*z**3 What is the third derivative of 24*l**3*q**4*w - 13*l**3*q**3 - 5*l**3*q**2 + 25*l*q*w + 9*q**3*w + 167*q**2 wrt q? 576*l**3*q*w - 78*l**3 + 54*w Find the third derivative of 773901*m**3 - 8984*m**2 - 19*m wrt m. 4643406 Fin
{ "pile_set_name": "DM Mathematics" }
in 5, 1.18, f? f Let i = 9105 - 7584. What is the second smallest value in i, -8, -4? -4 Let g = 1852 + -1888. Which is the fourth smallest value? (a) -0.29 (b) 4 (c) g (d) 0.3 b Let k(w) = -w + 16. Let x be k(25). Let u be (-21)/x - 16/12. What is the second smallest value in 4, 32, u? 4 Let z = 181 - 178. Let n be (9/(-30))/((-27)/5 + z). Which is the third biggest value? (a) n (b) 5 (c) -21 c Let y(q) = -231*q - 121. Let r be y(-2). Let z = r - 346. Which is the fourth biggest value? (a) 0.3 (b) z (c) -13 (d) 5 c Let d = -7079/44 + 1778/11. Let z = -68 + 73. What is the second biggest value in d, z, -1/4? d Let r = -367.6 + 367.5. What is the second biggest value in 1/28, -3, 3, r? 1/28 Let k be (-26)/(-40) - 4/10. Let d = -1/6 + k. Let x = 0.50046 - 0.10046. What is the biggest value in d, -1/6, x? x Let j = -770 + 1271. Let q = j - 501. Which is the biggest value? (a) q (b) 11 (c) 0.2 (d) 0.3 b Let q be 21/18 + (-5621)/(-3066). Let f = -0.12 - -0.02. Which is the third biggest value? (a) -1.01 (b) 0.1 (c) q (d) f d Let j = -565/28 - -136/7. Let c(q) = -2*q**2 - 54*q + 479. Let w be c(-34). Let m = -351/865 - -1/173. What is the biggest value in j, -5, w, m? w Let z = -0.22 + 8.22. Let w = z + -5. Let f = -119 + 229/2. Which is the second smallest value? (a) f (b) 1/6 (c) w (d) -4 d Let q(u) = -u**2 + 8*u - 8. Let k be q(7). Let x = -3.349 - 0.251. Let t = x + 1.6. What is the biggest value in k, t, 0.3? 0.3 Let s be ((-10)/(-12))/(130/4472). Let p be -27*1 - 3/3. Let x = s + p. Which is the fourth biggest value? (a) 10 (b) x (c) -2/9 (d) -2/3 d Let f(m) = -m**2 + 6*m - 7. Let x be f(6). Let r = -474 + 484. Suppose -7*a = -3 + r. What is the second biggest value in a, -4, x? -4 Let v be (-10)/4*(-776)/6790. Let m = 2 + -4. Which is the second smallest value? (a) -0.5 (b) m (c) v a Let t = -12 + 8. Let a = 0.7269 + -0.4269. What is the third smallest value in t, 5, a? 5 Let s = -10925 - -21847/2. Let r(q) = 3*q**3 - 3*q**2 - 4*q + 2. Let g be r(3). Let z = 310/7 - g. What is the third biggest value in -1/8, s, 1/6, z? -1/8 Let s = -12866 + 12873. Which is the third biggest value? (a) -0.44 (b) s (c) 0.3 a Let x be (1*(-4)/30)/((-936)/(-1560)). Which is the second biggest value? (a) -0.0417 (b) 2 (c) x a Let h = 25059 - 25061. Let t = -2 - -4. What is the second smallest value in -3/2, 0.1, h, t? -3/2 Let a = -1.022 + -0.813. Let l = 0.165 - a. Let h = 11 + -7. What is the smallest value in -0.3, l, h, 0.2? -0.3 Let q be (-5 + 2)*(5 + (-5 - -2)). Let p be 4 - (4/(-80))/(q/525). Suppose 0 = 5*c + 3 - 18. What is the second smallest value in c, p, -0.4? p Let o be -128 + -5*(4 + -3). Let g = o - -144. Which is the third smallest value? (a) g (b) -5 (c) -0.3 (d) -0.5 c Let y be ((-2)/4)/((-21)/(-6)). Let s = -6.7941 + 2.7941. Suppose 0 = j - 3*j. Which is the biggest value? (a) 0.2 (b) j (c) y (d) s a Let o = -532.9448 + 533. Let k = 0.0552 - o. What is the smallest value in k, -3, 2/21? -3 Let u = -0.2601 - 38.7399. Which is the fourth biggest value? (a) -5 (b) -0.4 (c) -0.3 (d) u (e) 1/3 a Let c = 2413/4 - 603. Let l = -4 + 20. What is the second biggest value in c, -2/9, l? c Let d = 65/7 + -339/35. Let t = 26 + -25.8. What is the third smallest value in d, t, 3.1, -5? t Let o be (1234/21)/(828/(-21)). Let z = 19/129 + -1397/8901. Let r = o + z. Which is the second smallest value? (a) -0.2 (b) r (c) -1/10 (d) 5 a Let u be ((-3)/(-7))/(840/560). Which is the fourth smallest value? (a) 0.3 (b) 2/11 (c) -5 (d) -42 (e) u e Let w = 0.03 - -2.97. Let f = w - 2. Let u = 51.1 - 50.9. What is the third smallest value in -0.2, u, f? f Let h = 3187 + -3185. What is the smallest value in 4, 258, h? h Suppose 184 = -3*m + 16. Let g = m + 167/3. Let c = 0.06 - 0.46. What is the second biggest value in 2, c, g? g Let o be 14 + -27 + 8 - -8. Which is the second smallest value? (a) o (b) -115 (c) -5 c Let r = 576.3 - 255.3. Which is the fourth biggest value? (a) -2/13 (b) r (c) -1/2 (d) -1 (e) 2 c Let l = 0.3 - -0.1. Let w = 103782.1 + -103782. Which is the third biggest value? (a) w (b) l (c) 5 (d) 0.05 a Let l = 7997 + -8005. Which is the third smallest value? (a) l (b) 23 (c) -1 (d) -2/9 d Let i be 0 - ((-104)/(-800) - 8/100). Let v = 1.87 + -0.07. Let y = v - 1.8. Which is the fourth smallest value? (a) 1 (b) i (c) -0.3 (d) y a Let r(h) = h**2 - 3*h + 8. Let d be r(5). Let y be ((-14)/(-63))/(8/d). Suppose 8*u - 90 = -50. What is the third smallest value in u, y, 0, -3? y Let o be 6/21*(-2)/2. Let i = 19.02 - -5.88. Let h = i - 25.3. Which is the second biggest value? (a) o (b) 2/5 (c) 2/7 (d) h c Let v = -2431 - -143431/59. Let u = 13/7 - 5/14. Which is the third biggest value? (a) v (b) u (c) -4 (d) 1/2 a Let w = 0.2 + -0.6. Let u = 665381/4 + -166345. Which is the third smallest value? (a) u (b) 84 (c) w b Suppose 0 = -m - 4*q - 452, 4*m = -3*q - 1719 - 141. Let j = 514 + m. What is the second biggest value in 0, 2, j? 2 Let f = 909.9 - 911.34. Which is the biggest value? (a) f (b) -1/2 (c) -5 (d) 1 (e) -1 d Let d = -271 + 270.9. Let j = 10 - 7. What is the third smallest value in j, d, 10/7? j Let v be (94/4)/((-19)/(-2)) - 3. Let i = -274/665 - v. Let y = i - -89/140. What is the smallest value in -0.4, y, -8? -8 Let n = -27/845 - 2319/6760. Let j = -0.4 + 1.3. Which is the second biggest value? (a) n (b) j (c) -11 a Let w = -107.12 + 6.52. Let m = w + 90. Let f = m - -11. Which is the second biggest value? (a) 1/2 (b) f (c) 4 a Let x = 8933 + -8932. What is the third biggest value in -8, 2, 4, x, 0.1? x Let d = 595.4 + -563. Let g = d - 27.4. Which is the third smallest value? (a) 78 (b) g (c) -4 a Let y = -5207 + 5206.8. Which is the second smallest value? (a) -0.01 (b) 0.3 (c) y a Let o = -46 + 76. Let t = -267 - -99. Let f = t + 165. Which is the biggest value? (a) 2 (b) 4 (c) o (d) f c Suppose -21*q + 33*q + 60 = 0. Let r = -0.0642 - 0.3358. What is the biggest value in 79, r, q? 79 Let d = 40.1 - 40.47. Let s = d + -7.63. What is the biggest value in -0.04, -5, 2, s? 2 Let u = 373.2 + -372.8. What is the smallest value in u, -2/107, 2/3, 1/4? -2/107 Let r = 1.29 - -3.71. What is the third smallest value in 26, r, 2/27? 26 Let j = -16495 - -16468.958. Let l = j - -0.042. Let u = -27 - l. Which is the smallest value? (a) -2/7 (b) u (c) -2/3 (d) 3 b Let t = 2180 + -3701. Let w = 1520.979 + t. Let i be ((-2)/(-8))/((-1)/(-1)). What is the third smallest value in w, i, -2/11? i Let z be (-1294*(-10)/(-8))/4. Let f = 404 + z. Which is the third biggest value? (a) 5 (b) f (c) -0.59 c Let v(g) = 3*g + 7. Let r(t) = t. Let k(f) = 5*r(f) + v(f). Let m be k(-1). Which is the second smallest value? (a) 5 (b) 2/9 (c) -3 (d) m d Let k = 63253 + -253017/4. Let c = 448/45 + -10. What is the second smallest value in 6, c, k? c Let k = -3722 - -3727. Which is the biggest value? (a) k (b) 12 (c) 8/7 (d) 0.5 b Let n be -5 - (-7 - (12/(2 + -6) + -7)). What is the third smallest value in 0.3, -4/5, 2/35, n? 2/35 Let j = -6629/6 + 1091. Let t = j + 433/30. Let s = 25 + -21. Which is the second smallest value? (a) 0.5 (b) t (c) s b Let x = -1 + -5. Let y = -4113.6 - -3704. Let p = 410 + y. What is the biggest value in x, -0.4, p, 0.2? p Suppose -72 = -29786*j + 29798*j. Let i = -226 + 230.96. Let t = i + 0.04. Which is the fourth biggest value? (a) j (b) 3/8 (c) t (d) 0.1 a Let v = -8 - -13. Let n = -461.149 - -1.149. Let c = n + 461. What is the smallest value in c, v, -14, 2/19? -14 Let x = -9490 - -9489. Which is the third biggest value? (a) x (b) -0.1 (c) 6 a Let s = 0.0283 + -128.0283. Let y = -177/28 - -27/4. What is the third biggest value in -5, y, -1/8, s? -5 Let q be (14289/44)/((-5)/((-10)/(-3))). Let i = q - -217. What is the biggest value in 4/39, i, 2/7? i Let y = 5753 + -5757. Which is the second biggest value? (a) y (b) -0.4 (c) 43 (d) 5/4 d Let v = -11286 - -11282. What is the second biggest value in 0, v, -0.1265? -0.1265 Let j = -19/4 + 49/12. Suppose 2*h + 4 - 8 = 0. Let u be (1 + 28/(-18))*h/(-5). Which is the biggest value? (a) j (b) 2 (c) u b Let y be ((-1)/18*2)/(24/72). Let z be (-2)/(-1)*18/12. Wh
{ "pile_set_name": "DM Mathematics" }
-3/187 + 1137/935. Is s greater than c? True Let n(s) = -2 + 3*s - 2 - s**2 + s. Let h be n(3). Which is greater: 2/5 or h? 2/5 Suppose 9 = 20*x - 23*x. Which is smaller: -5 or x? -5 Let i = 101 - 148. Let a = 8310 - 41786/5. Let s = i - a. Is s > 0? True Let v(o) = -o**2 - 5*o + 4. Suppose s = 3*n - 94, s = -n + 2*s + 34. Suppose -4*k = k + n. Let x be v(k). Does -2 = x? True Let d be 1*(-2)/(-2) - -1. Let i = -66 - -267/4. Does i = d? False Let s be ((-3)/18)/(2/(-12)). Which is smaller: -3/44 or s? -3/44 Let o = -5 - -6. Let r = o + 3. Does 0.1 = r? False Let q(t) = 2*t + 6. Let h be q(-11). Let f = -17 - h. Which is smaller: -3 or f? -3 Let r = 1 - -2. Let z = -52 - -49.1. Let u = r + z. Is u at least -0.1? True Suppose -v + 2*v + 7 = 5*i, -4*i = -2*v - 14. Let a be (v + 6)/(2/2). Let p be 2 + (-5 - (-1 - 0)). Is a at least as big as p? True Suppose -2*l - w - 85 = -4*l, 5*l = -3*w + 229. Is l > 45? False Suppose 3*z - u - 75 = -2*z, 0 = -5*z + 5*u + 95. Let d be 4/z + (-6)/(-77). Which is bigger: -1 or d? d Suppose -4*o = -g + 1, -4 - 6 = -5*o + 5*g. Let l be 6/21*(o - 0). Let k = 62 - 62. Which is smaller: l or k? l Suppose -2*g - 3*g + 50 = 0. Let l(t) = -t**2 + 11*t - 10. Let y be l(g). Are -5/4 and y equal? False Let i = 10.8 - -0.2. Let a = -10 + i. Are a and -0.1 non-equal? True Suppose 3*d - 3*y - y = 8, 5*y = 5*d - 20. Let f(o) = -o + 11. Let i be f(d). Suppose 5*j - i*j - 4 = 0. Are j and 2 nonequal? False Let i(q) = -17*q**3 - 5*q - 9. Let w(n) = 4*n**3 + n + 2. Let z(j) = -2*i(j) - 9*w(j). Let c be z(1). Suppose 44 - 34 = -5*d. Do c and d have the same value? False Suppose -11*q + 6*q = -5. Let p = 102 - 715/7. Is p >= q? False Let z = -13 - -10. Let p = z - -4. Let d be 0 + (0 + 1 - p). Is d at least -4? True Let s = 32 - 7. Which is bigger: 26 or s? 26 Suppose 2*g + 5 = 3*d, -2*g + 4 = 4*d - 6*g. Suppose d*m - 5 = -2. Let l = 1 - 2. Which is smaller: m or l? l Let l = -442/5 + 88. Is l > 1? False Suppose 5*g - 28 = g - 4*n, n = -3*g + 15. Suppose -4*f - 1 = -l, -f - 1 = -g*l + 18. Let r be (0 + 0 + f)*-1. Which is bigger: 0 or r? 0 Let k = -16 - -16. Suppose 10*n - 6*n + 4 = k. Which is smaller: 1/3 or n? n Let d(o) = -o**3 + 2*o**2 + o. Let r be d(2). Let z(q) = q + 11. Let w be z(0). Suppose -4*a = 3*f - 0*f + w, 0 = 4*f + 5*a + 13. Which is smaller: r or f? r Let h be 1 - -81 - 0/1. Let x be h/28 + 0 - 3. Which is smaller: x or 0? x Let j = 91/2 - 46. Is j bigger than 0? False Suppose -2*x - 10 = -0. Let t(k) = k**3 + 4*k**2 - 5*k - 2. Let g be t(x). Let u(f) = -f + 2. Let d be u(3). Is d bigger than g? True Suppose 5*u + 3*v = -0*v + 30, 13 = 2*u + v. Let f be (3/u)/(1/(-3)). Do -2 and f have different values? True Let q = -54 + 81. Suppose -6*u = -3*u - q. Let x be (-10)/12 + 3/u. Which is smaller: x or 0? x Let d be 0 - -2*15/6. Let x be -2 - (-5)/(5/6). Suppose 28 = x*z + d*w, 0*w + 4*w - 14 = z. Which is greater: z or 2/3? z Let d(n) = -3*n + 4. Let l be d(-3). Suppose 5*h + f + 6 = l, 3*f - 2 = 4*h. Let k = -32/7 - -110/21. Is h not equal to k? True Let u be ((-6)/4)/((-16)/32). Let w be u/(-2) - 5/(-10). Let t be 3/(-1 + 1/(-2)). Which is smaller: t or w? t Let z = -0.15 - 0.05. Let g = -0.4 - z. Let h = 1.1 - 0.1. Which is smaller: g or h? g Let f be (-6)/51 + 45/(-51). Suppose -2*a - 3*o - 486 = 0, 1177 = -2*a - 3*a + 2*o. Let y = -5449/23 - a. Is f at least y? False Let h be (-4)/(-16) + 2/(-8). Is h at least as big as -7/6? True Let h be -1*1 - (-3)/5. Let c = 47 + -45. Is h greater than c? False Let s = -71 + 72.7. Which is bigger: s or 2/3? s Let k = 165 - 61. Suppose -46 = -2*v + 4*a, -4*a + 19 = -5*v + k. Is v at most as big as 13? True Suppose 7*m - 3*m - 44 = 4*c, -3*m - 4*c + 19 = 0. Let l be 6/14 - m/21. Is l greater than or equal to -3? True Let k = 17 - 17.9. Let c = 3.9 + k. Let h = -24/85 + -2/17. Is h at most c? True Suppose -z + 4 = -2*l + l, 3*l = 5*z - 10. Let q be (-6)/(-9) - 39/(-9). Let f be (1 - 2/q) + -1. Are f and z unequal? True Let l(f) = -4*f - 20. Let o be l(-6). Let u be 414/1368 - 1/o. Which is bigger: u or 1? 1 Let j(x) = -8*x - 2. Let b be j(-1). Let u be (-1)/(1*(-3)/b). Is 2 at least u? True Let h be 0 - (-3 + (-31)/(-11)). Let b(v) = -v**2 - 6*v + 7. Let l be (1 - 0)/(6/(-42)). Let r be b(l). Is h bigger than r? True Let p(h) = -h**3 + 6*h**2 + 7*h - 3. Let o be p(7). Which is bigger: o or -9/5? -9/5 Let q = 131/556 - -2/139. Which is greater: q or 0? q Let u = 0.27 - 0.03. Let t = u - 0.3. Let q = 0.04 - t. Which is smaller: -5 or q? -5 Let l be 8/(-48) + 1/6. Is -2/13 >= l? False Let j(b) = -b**2 + b. Let l be j(-1). Which is bigger: l or -1? -1 Suppose -11*y + 8*y = 0. Which is bigger: y or -1/5? y Let m = 0.2 - 0.26. Let n = 0.16 + m. Let d(b) = -b + 4. Let z be d(6). Which is greater: z or n? n Let v(c) = c - 3. Let y be v(5). Suppose -5 = -x + y*x. Let l be 5/x - (-17)/15. Is l at least -1? True Let d = -5 + 26/5. Is d at most 0? False Let v be 2/(-4)*(1 - -1). Let z be ((-12)/(-4) - 3)/v. Which is bigger: -3/5 or z? z Let s be (48/(-40))/(1/(-5)). Is 7 bigger than s? True Suppose 0 = -2*t + 3*t - 5*q + 25, -t - q = -5. Which is smaller: -9/10 or t? -9/10 Let u be (-15)/6*72/(-10). Which is smaller: 17 or u? 17 Suppose 2*v + 6 = 4*v. Suppose v*h - 6*h - 4*a = 2, 2*a = -2*h. Suppose 0 = h*z - 6 - 0. Is 1 != z? True Let t be 21/12 + (-1)/(-4). Which is greater: t or -5? t Let k be (-1020)/80 - (-6)/8. Is k bigger than -12? False Let d(i) = -i**3 + 2*i - 1. Let x be d(2). Let b = -6 - -3. Let c = b - x. Which is greater: c or 3? 3 Let a = 5 + 0. Let x be 17/3 - (-4)/(-6). Is x equal to a? True Let m(z) = -z + 16. Let g be m(16). Is g less than or equal to 1? True Suppose 0 = 3*j - 5*j + 88. Suppose 0 = -4*o - j + 4. Let f be o*(-2 - (-10)/4). Which is smaller: f or -4? f Let d be -2 + 2/4*2. Let s be 12/42 - (d + 1). Which is smaller: -1 or s? -1 Let s = 3 - 1. Suppose -2*o - 3*o = -10. Are s and o non-equal? False Suppose -5*d + 62 = b, -2*d = 4*b - 2*b - 92. Which is smaller: 41 or b? 41 Let b = -0.27 - -0.17. Is b less than -1/11? True Let k = -17 - -17. Which is greater: 18 or k? 18 Let w be (-12)/(-2)*-1*-1. Is 4 less than w? True Let f be (2 + -9)/(6 - 5). Is -7 at least as big as f? True Let d = -65 - -64. Which is smaller: d or -15/14? -15/14 Let b be (-5 + 5)*(-2)/(-4). Suppose -6 = -4*c + n, b = -4*c + 8*n - 3*n - 2. Let k be 1*c/4*0. Is 1/11 greater than k? True Let x = -6394/17 - -376. Which is greater: x or 1? 1 Let m(f) = -f**3 + 15*f**2 - 10*f - 12. Let d(x) = 2*x**3 - 31*x**2 + 20*x + 25. Let b(v) = -3*d(v) - 7*m(v). Let l be b(11). Is l > 2/7? False Suppose 5*w - 7 = -5*k + 3*k, 5*k = -4*w + 26. Do k and 8 have different values? True Let y(p) = -p**2 - p + 2. Let b be y(-4). Let s = -9 - b. Which is bigger: s or -1/3? s Let z(k) = -k**2 - 3*k - 1. Suppose -2*j - 3*p = -3, 4 + 5 = -2*j + p. Let n be z(j). Is n at most -2/13? True Let o = 5 + 3. Is o greater than 9? False Suppose 68*h = 26*h - 168. Suppose -k + 0 = 1. Which is smaller: k or h? h Suppose -h = -5*h - 20. Let y = 7 - 15. Let u be (-18)/y + h/20. Is -1 greater than or equal to u? False Suppose 2*b - 10 = 7*b. Let a = 3 + b. Which is smaller: a or 1/6? 1/6 Suppose 0*k = 3*k + 9. Let w = 0.926 + 0.094. Let f = -0.02 + w. Which is greater: k or f? f Suppose -5*h + 7 = w, 4*h = w + 2*h. Is 6 at least w? True Let x = -1309/536 + 38/67. Which is smaller: x or 0? x Let f = -19 + 21. Suppose 3 = 2*n - w + f, 5*n + 1 = -w. Which is smaller: -1 or n? -1 Let t = -4 - -6. Suppose -f + 5*f + 2 = -t*h, 4*f + 11 = h. Suppose 0 = 3*a + b, -h*a - a - 2*b = 0. Is a >= -1/9? True Let r = -10 + 7. Let a(y) = -y - 2. Let q be a(r). Is 2 less than q? False Let c(h) = h**2 - 7*h - 8. Let a be c(7). Let v be (-14)/a - (-1 - -2). Let q be 0/(-2) - (-3 + 2). Is q smaller than v? False Let z = -346/17 - -3886/221. Does z = -3? False Suppose -5*o - 25 = -40. Is 6 less than o? False Let r = 6 - 9. Let j be r - -1*(-4 - -3). Is j at most -5? False Let b = 86 + -98. Is -11 less than b? False Let f = -14 + 17. Let x be 2/((f + 1)/(-4)). Is x bigger than -4/7? False Suppose 0 = -4*q + 3*z + 46, -2*z = 5*q + z - 44. Does 7 = q? False Let p = -17.929 - 0.071. Is -0.1 greater than p? True Let z = -0.03 - -5.03. Let m = -12 - -10.
{ "pile_set_name": "DM Mathematics" }
*s + 4*z = 19. Solve 10/3*h**s + 14/9*h**5 - 4/9*h - 2/9*h**2 + 0 - 38/9*h**4 = 0 for h. -2/7, 0, 1 Let x(d) be the first derivative of 3*d**4/4 + 2*d**3 - 6*d**2 - 24*d + 20. Solve x(a) = 0. -2, 2 Let o(b) be the first derivative of 9*b**5/20 + 69*b**4/16 + 97*b**3/12 + 43*b**2/8 + 3*b/2 + 11. Factor o(m). (m + 1)*(m + 6)*(3*m + 1)**2/4 Factor -30 - 5*q**3 + 5*q + 30. -5*q*(q - 1)*(q + 1) Suppose -4*j = 8 - 28. Let q(t) be the first derivative of -8/9*t**6 - 2/3*t**3 - 1/6*t**2 + 0*t - 2 - 1/12*t**4 + 8/5*t**j. Find w, given that q(w) = 0. -1/4, 0, 1 Let k(r) = -r**2 + 1. Let z = 10 - 11. Let d be k(z). Find a, given that -1/2*a**4 + d*a + 1/2*a**3 + 0 - 1/2*a**5 + 1/2*a**2 = 0. -1, 0, 1 Let -2/7*f**4 - 2/7*f**3 + 0*f**2 + 0*f + 0 = 0. Calculate f. -1, 0 Let i(k) be the third derivative of -1/210*k**5 + 0*k + 1/7*k**3 - 1/42*k**4 + 6*k**2 + 0. Factor i(r). -2*(r - 1)*(r + 3)/7 Let f(j) be the third derivative of j**6/30 + j**5/15 + 4*j**2. Factor f(k). 4*k**2*(k + 1) Let o = -48 - -244/5. Determine x, given that o*x - 2/5*x**3 - 2/5*x**5 + 6/5*x**2 - 6/5*x**4 + 0 = 0. -2, -1, 0, 1 Let c be ((32/(-1))/4)/(-2). Factor 3*a**2 + 58*a - c + a**3 - 58*a. (a - 1)*(a + 2)**2 Factor 44*j - 4*j**3 + 81*j**2 - 121*j**2 + 3 - 3. -4*j*(j - 1)*(j + 11) Factor -4*a**3 - 48*a - 26*a**2 - 32 - 13*a**2 + 15*a**2. -4*(a + 2)**3 Let q(s) = s**3 + 7*s**2 - 18*s + 3. Let t be q(-9). Factor -2/9 - 2/9*r**t - 2/3*r**2 - 2/3*r. -2*(r + 1)**3/9 Let -5/2*g**4 + 0 + 0*g + 7/2*g**3 - g**2 = 0. Calculate g. 0, 2/5, 1 Let z be (2/(1*-2))/(-1). Let c be (3 - z) + (0 - 0). Factor u**2 - 3*u**c - 6*u + 3*u + 4 + u. -2*(u - 1)*(u + 2) Let o(r) be the third derivative of -r**6/720 + r**4/144 - 21*r**2. Suppose o(w) = 0. Calculate w. -1, 0, 1 Let b(u) = u**2 + 4*u + 4. Let p be b(-5). Suppose -3 - 1 = -z. Factor y**4 - 36*y**2 + 54*y**3 + 8*y - p*y**4 - 19*y**z. -y*(3*y - 2)**3 Let 32/11*u**3 + 0*u - 14/11*u**5 + 0 - 8/11*u**2 - 10/11*u**4 = 0. What is u? -2, 0, 2/7, 1 Let a(m) be the second derivative of -2*m + 0*m**2 + 0*m**4 + 1/12*m**3 + 0 - 1/40*m**5. Let a(k) = 0. What is k? -1, 0, 1 Factor 2*t**5 + 0*t**4 + 16*t + 11 - 3 - 3*t**4 + 2*t**2 - 10*t**3 + t**4. 2*(t - 2)**2*(t + 1)**3 Let q(f) be the second derivative of f**7/42 + f**6/30 - 3*f**5/20 - f**4/12 + f**3/3 + 30*f. Suppose q(n) = 0. Calculate n. -2, -1, 0, 1 Suppose l + 5*j = -17 - 5, 0 = -l + 2*j + 6. Let f = l - -5/2. Factor -1/2*i**4 + i**2 + i**3 - f*i**5 - 1/2*i - 1/2. -(i - 1)**2*(i + 1)**3/2 Let j = -25645079/153 - -167619. Let d = -66/17 + j. Find b such that 0*b**2 + 0 + 2/9*b**3 - d*b = 0. -1, 0, 1 Factor 1 + 3*a**2 - 5*a**2 + 2 - a**2. -3*(a - 1)*(a + 1) Let q(d) be the second derivative of -1/4*d**4 + 0*d**2 + 1/10*d**6 + 0*d**3 + 3*d + 0 + 3/20*d**5 - 1/14*d**7. Factor q(j). -3*j**2*(j - 1)**2*(j + 1) Let v(p) be the first derivative of 0*p**4 + 1/12*p**3 + 0*p**2 - 1/20*p**5 - 6 + 0*p. Factor v(b). -b**2*(b - 1)*(b + 1)/4 Let x(b) be the second derivative of b**5/30 - 5*b**4/18 + 2*b**3/3 - 23*b. What is m in x(m) = 0? 0, 2, 3 Let v(a) be the second derivative of a**4/84 + a**3/21 + a**2/14 + 3*a. Suppose v(z) = 0. Calculate z. -1 Factor 2*o**4 + 3*o**4 + 2*o**3 + o**4 + 4*o**3 + 2*o**5 + 2*o**2. 2*o**2*(o + 1)**3 Let j be 6 + -1 + -2 + -1. Factor 1 + j*q**2 + 0 + 3 + 0*q + 6*q. 2*(q + 1)*(q + 2) Let t(s) be the second derivative of s**7/490 - s**6/140 + s**5/140 - s**2/2 - 4*s. Let j(h) be the first derivative of t(h). Determine o, given that j(o) = 0. 0, 1 Let o(u) be the third derivative of 4*u**2 + 0 + 1/2*u**3 + 3/20*u**5 + 1/40*u**6 + 3/8*u**4 + 0*u. Suppose o(n) = 0. Calculate n. -1 Let x = 6 - 3. Solve -2/3*n**x + 0 + 0*n - 2/3*n**2 = 0. -1, 0 Let d(t) = -2*t**4 + 12*t**3 + 12*t**2. Let f(o) = 3*o**4 - 13*o**3 - 13*o**2. Let k(i) = 5*d(i) + 4*f(i). Factor k(q). 2*q**2*(q + 2)**2 Let f(a) be the second derivative of -3*a**5/20 + a**4 - 5*a**3/2 + 3*a**2 - 5*a. Determine p so that f(p) = 0. 1, 2 Solve 84*d + 25*d**3 + 49*d**2 + 50*d**3 + 24*d**4 + 3*d**5 + 77*d**2 + 24 - 12*d**2 = 0 for d. -2, -1 Let s = 6803/11 - 618. Let d = s + -13/77. Factor 0*j + 0 - d*j**2 - 2/7*j**3. -2*j**2*(j + 1)/7 Let q = 5 + 0. Factor -4*d**5 + d**q + 3*d**3 - 4*d**2 - 4*d + 4*d**5 + 4*d**4. d*(d - 1)*(d + 1)*(d + 2)**2 Let a(w) be the first derivative of w**3/12 - 9*w**2/8 + 7*w/2 + 8. Factor a(d). (d - 7)*(d - 2)/4 Factor -1/7*u**5 + 0*u + 1/7*u**3 + 1/7*u**4 - 1/7*u**2 + 0. -u**2*(u - 1)**2*(u + 1)/7 Let p be 3/42*(8/30)/2. Let y(x) be the second derivative of 0 + 0*x**5 - x + 0*x**4 + 0*x**3 + 0*x**2 + 1/75*x**6 + p*x**7. Find b, given that y(b) = 0. -1, 0 Suppose 3*j = -0*j. Let f(k) be the first derivative of -1 - 1/2*k + 1/3*k**3 + 0*k**4 - 1/10*k**5 + j*k**2. Factor f(g). -(g - 1)**2*(g + 1)**2/2 Factor 5*b - 5 - 5*b + 2*b**2 - 3. 2*(b - 2)*(b + 2) Let l(a) be the third derivative of 7*a**6/30 + 6*a**5/5 + 10*a**4/7 + 16*a**3/21 + 19*a**2. What is u in l(u) = 0? -2, -2/7 Let h(i) be the second derivative of -i**4/6 - 20*i**3/3 - 100*i**2 + 3*i - 1. Solve h(a) = 0 for a. -10 Find c such that 4/3*c**4 - 16/3*c**2 - 8/3*c**3 + 8/3*c + 4 = 0. -1, 1, 3 Factor 3/5*h**3 - 3/5*h + 1/5*h**2 + 1/5*h**4 - 2/5. (h - 1)*(h + 1)**2*(h + 2)/5 Suppose 14 = 5*f - 1. Solve -12*c - 2*c**3 + 48*c**2 + 27*c**4 - 19*c**3 - 42*c**f = 0. 0, 2/3, 1 Let q(m) = m**3 - 7*m**2 - 2*m + 16. Let s be q(7). What is u in -1 + 1/4*u**s + 1/4*u**3 - u = 0? -2, -1, 2 Let j = 0 - -5. Find r, given that -3*r + r**3 - 3*r - 4*r**2 + 3*r**3 + r**j + r**5 + 6*r**4 - 2 = 0. -1, 1 Suppose 0*y - 5*y + 70 = 0. Let z be 19/7 - (-4)/y. Factor 0*d**2 + 3 - 2 - d**5 - 2*d**2 - d + 2*d**z + d**4. -(d - 1)**3*(d + 1)**2 Determine k so that -8*k**4 + 20*k**4 + 8*k**4 + 5*k**2 - 25*k**3 = 0. 0, 1/4, 1 Let a(d) be the second derivative of -d**8/840 + d**3/3 - 2*d. Let q(h) be the second derivative of a(h). Find p, given that q(p) = 0. 0 Suppose 2*p - 2*h - 17 = 1, -5*p = 4*h - 9. Suppose 6*o = p*o. Let o*l**3 + 1/3*l**2 + 0*l + 0 - 1/3*l**4 = 0. What is l? -1, 0, 1 Let r = 37 - -6. Let -47*f**3 + 40*f - 8 + 8*f - 34*f**2 - r*f**3 = 0. Calculate f. -1, 2/9, 2/5 Let q(v) be the third derivative of -v**6/150 + 4*v**5/75 + 11*v**4/30 + 4*v**3/5 + 7*v**2. Factor q(h). -4*(h - 6)*(h + 1)**2/5 Factor 1/2*f**3 + 3/2*f**2 + 0 + f. f*(f + 1)*(f + 2)/2 Let m(x) be the first derivative of 24*x**2 + 16*x + 7*x**3 + 5/8*x**4 - 2. What is l in m(l) = 0? -4, -2/5 Suppose 20 = 3*y + y. Let z(c) be the second derivative of 1/15*c**4 + 0*c**2 - c - 1/15*c**3 + 0 - 1/50*c**y. Factor z(i). -2*i*(i - 1)**2/5 Let f = -1/22 - -25/66. Let d(m) be the first derivative of 1/5*m**5 + 1/18*m**6 - 1/2*m**2 + 1/6*m**4 + 1 - f*m - 2/9*m**3. Factor d(i). (i - 1)*(i + 1)**4/3 Let x(f) = 4*f**3 + 8*f**2 + 3*f - 3. Let d(p) = -p**3 - p**2 + p + 1. Let a(m) = 6*d(m) + 2*x(m). Factor a(n). 2*n*(n + 2)*(n + 3) Let z(j) = -j**2 - 6*j. Let k be z(-5). Let w(p) = -p**2 + 7*p - 7. Let v be w(k). Factor 12*c**3 - 2*c - 3*c**4 + 11*c - v - 18*c**2 + 3*c. -3*(c - 1)**4 Let q(a) be the second derivative of 7*a**7/18 - 14*a**6/15 + 3*a**5/5 + 33*a. Factor q(t). t**3*(7*t - 6)**2/3 Suppose w + 4*h = 2*h - 10, 4*w - 25 = 5*h. Let b(l) be the third derivative of -3*l**2 - 1/150*l**5 + 1/60*l**4 + 0 + 0*l + w*l**3. What is i in b(i) = 0? 0, 1 Let u(b) be the first derivative of b**7/735 - b**6/140 + b**5/70 - b**4/84 + 2*b**2 - 3. Let o(v) be the second derivative of u(v). Solve o(l) = 0 for l. 0, 1 Let h be (-1 + 3 - 0) + -2. Let y(i) = i**2 + 9*i + 10. Let k be y(-8). Factor 2/3*c**4 + h*c + 4/3*c**3 + 0 + 2/3*c**k. 2*c**2*(c + 1)**2/3 Let w(q) be the first derivative of 2*q**5/3 - 4*q**4/3 - 4*q**3/9 + 8*q**2/3 - 2*q + 5. Let w(p) = 0. Calculate p. -1, 3/5, 1 Suppose -2*q + 1 + 15 = 0. Factor -3*u - 4*u**4 + 4*u**2 - q*u**5 - 4*u**4 + u + 6*u**3. -2*u*(u + 1)**2*(2*u - 1)**2 Let k(y) be the third derivative of y**7/840 - 7*y**6/2160 - y**5/180 - y**4/24 - 3*y**2. Let p(z) be the second derivative of k(z). Factor p(l). (l - 1)*(9*l + 2)/3 Let t(k) = k**3 - 8*k**2 + 7*k. Let r be t(7). Let f(n) be the first derivative of 2/21*n**3 + 2/35*n**5 + 0*n**2 + 1/7*n**4 + r*n - 1. Factor f(m). 2*m**2*(m + 1)**2/7 Factor 4*w**2 + 14 - 4 - 5*w + 6 - 11*w. 4*(w - 2)**2 Suppose 5*i - 12 = 2*i. Suppose i*v - 3*x = v + 15
{ "pile_set_name": "DM Mathematics" }
997086. What is h rounded to 6 decimal places? -0.000003 Let t be (-3 + 1 + 528)*(-150)/(-10). Suppose 3*n - 4*n + t = 0. What is n rounded to the nearest 1000? 8000 Let z = 364.4 - -62.6. Let t = z + -457.9. Let d = -32.83 - t. What is d rounded to 0 dps? -2 Let m = 50.897 - 154.923. Round m to the nearest integer. -104 Let o = -8.283 + 8.71. Let w = o + -0.427000366. What is w rounded to 7 dps? -0.0000004 Let t(l) = -l + 17. Let p be t(12). Suppose -p*y + 3*w - 74920 = 0, -w - 19992 + 49961 = -2*y. Let f = y - -74987. What is f rounded to the nearest 10000? 60000 Let o = -42964.20233 - -42964. What is o rounded to 2 dps? -0.2 Let d = 3954 + -3031. Round d to the nearest 100. 900 Let x = -95.49 - -95. Let h = 0.48 + x. Let o = -0.00989 - h. Round o to 4 dps. 0.0001 Let o = 35483367 + -35483367.34800177. Let i = o + 0.348. Round i to 7 decimal places. -0.0000018 Let o = 1033.995579 + -1034. Round o to 4 decimal places. -0.0044 Let n = -2013.000931 + 2013. What is n rounded to 5 dps? -0.00093 Let y = 0.65 - -2.79. Let x = y - 3.4399797. What is x rounded to 5 dps? 0.00002 Let g = 880901 - -682017. Suppose 5*j + 28827 + g = 0. Let n = j - -124349. Round n to the nearest 10000. -190000 Let k = 367 - -4119. Let h = -6642 + k. Let n = 2156.01037 + h. Round n to three dps. 0.01 Let s be (((-105)/10)/(-3))/(4/184). Suppose 573 = 2*z - s. What is z rounded to the nearest 100? 400 Let n = -45418 - -13218. Let l = n + 31957.141. Let o = l + 243. What is o rounded to 2 dps? 0.14 Let l = 76.664 - 77. Let v = 0.336117 + l. What is v rounded to five dps? 0.00012 Let h = 160.390672 - -0.362328. Let m = h + -161. Round m to 2 decimal places. -0.25 Let w(t) = 20 + 25*t**2 - 49*t**3 + 40*t + 51*t**3 - t. Let d be w(19). Suppose 7*q + d = -5196. Round q to the nearest 1000. -4000 Let p = -152.257 + 152.354033. Round p to 2 decimal places. 0.1 Suppose 16*y + 13753 + 29223 = 0. Let h = 91186 + y. Round h to the nearest ten thousand. 90000 Let y = -4105.1 + 688.1. Let h = -3412.877 - y. Round h to zero decimal places. 4 Let u = -411 - -235. Let t = u + 175.802. What is t rounded to two dps? -0.2 Let t(j) = 442*j**2 + 2*j + 17. Let n be t(-3). What is n rounded to the nearest one thousand? 4000 Let b = 511 + -250. Let u = 87 - b. Let v be u - (0 + 0 + -2). Round v to the nearest 10. -170 Let r = 101.42 - -4.58. Let q = -106.000348 + r. What is q rounded to five dps? -0.00035 Let q = -161851.9 - -154729. What is q rounded to the nearest one thousand? -7000 Let q = -0.058732419 - 4.861221381. Let z = -4.92 - q. What is z rounded to five dps? -0.00005 Let o = 95353 + -94728.33. Round o to the nearest 100. 600 Let g = -29517.76 + 28197. Round g to the nearest ten. -1320 Suppose -21 + 17 = c, 4*c = -5*j + 2382434. What is j rounded to the nearest one thousand? 476000 Let f = 0.2658 + 124.7342. Let h = 4523117969.99999965 + -4523118095. Let s = h + f. What is s rounded to 7 decimal places? -0.0000004 Let m(d) = 1041*d**3 + 38*d**2 + 11*d - 690. Let r be m(-29). Round r to the nearest one million. -25000000 Let y = -96570.985094 + 60065.11878. Let b = 36451.866313538 + y. Let d = 54 + b. What is d rounded to 7 dps? -0.0000005 Let z = 173 - 85. Let k = 135 - z. Let d = k + -46.99999941. Round d to six decimal places. 0.000001 Let l = 11363 + -6391. Let u = l - 4989.002. Let z = u + 17. Round z to three decimal places. -0.002 Suppose t - 9*t = 344. Let j = t - -40. Let g(f) = -12101*f - 3. Let p be g(j). What is p rounded to the nearest one thousand? 36000 Let c = 3.6659 - -4414.5341. What is c rounded to the nearest one hundred? 4400 Let v = 86 + -333. Let s = -312710 + 312957.0137. Let h = v + s. Round h to three decimal places. 0.014 Let j = -18.24 + -2067.76. Let f = j + 2313.1. What is f rounded to the nearest 10? 230 Let x = 368.886 - 369. Let m = -0.114062 - x. Round m to 5 decimal places. -0.00006 Let f = 365 + -378.45. Let v = f + -105.95. What is v rounded to the nearest integer? -119 Let x = 17.829053018 - 17.829. Round x to 6 decimal places. 0.000053 Let b = -4.316 + -0.684. Let z = 4.0229845 - -0.9770025. Let g = z + b. Round g to five decimal places. -0.00001 Let i = 762.74 - 769. Let a = -0.033 - -0.273. Let x = i - a. Round x to the nearest integer. -7 Let m = 21070 - 21070.014743. Round m to three dps. -0.015 Let g = 2342.00000593 - 2342. What is g rounded to 6 dps? 0.000006 Let g = -791917800.64 + 791918440.64000443. Let f = -640 + g. Round f to 6 decimal places. 0.000004 Let h = -1.0656 - -1.06562206. What is h rounded to six decimal places? 0.000022 Suppose 0 = -3*n - 3*n + 18. Let p be -1072*7 - (-12 - (-24)/n). What is p rounded to the nearest ten thousand? -10000 Let x = -19478 + 19477.99999882503. Round x to seven decimal places. -0.0000012 Let j = -0.0925 - -0.08499. Let l = 24.7414 + -24.74. Let a = j + l. What is a rounded to three decimal places? -0.006 Let h = 25784.111 + -25788. Round h to 1 decimal place. -3.9 Let x = -0.062 - -1.062. Let n = -15 - x. Let l = 15.999756 + n. What is l rounded to 5 dps? -0.00024 Let h = -670271.84362701 + 669529.84363. Let k = -742 - h. Round k to 7 decimal places. -0.000003 Let j = 203 - -1122. Let h = j + -1324.447. What is h rounded to one decimal place? 0.6 Let c = 72237 + -72236.99953197. Round c to 5 decimal places. 0.00047 Let s = -458127 - -643207. What is s rounded to the nearest one thousand? 185000 Let h = 11.3 + -602.3. Let o = -590.9838 - h. Round o to 2 dps. 0.02 Let d = 0.15419 + -1964.65419. What is d rounded to the nearest one thousand? -2000 Let b = 271 + -271.342. Let c = -1027022.6580427 - -1027023. Let k = c + b. Round k to five dps. -0.00004 Let z = 4297.007422 + -4297. What is z rounded to three decimal places? 0.007 Let i = -353344 + 353250.9668. Let h = i + 93. What is h rounded to three decimal places? -0.033 Let i = 5.677 + -93.562. Let q = 45.8944 + i. Let o = 42 + q. What is o rounded to three dps? 0.009 Let t(m) = -2*m**2 + 53*m - 53. Suppose 0 = -2*g - 2*g + 116. Let u be t(g). What is u rounded to the nearest 10? -200 Let s = -28525 - -28519.1465. What is s rounded to the nearest integer? -6 Let a = 78982.34179 + -78982. Round a to 2 dps. 0.34 Let u be (-4)/(-30) + 15947032/(-615). Round u to the nearest one thousand. -26000 Let r = -0.09 + -0.37. Let u = -166.08 - -166. Let f = r - u. What is f rounded to one dp? -0.4 Let u = 987855165.99999907 + -987855195. Let x = 1016 + -1045. Let p = u - x. What is p rounded to seven dps? -0.0000009 Let z = -25999 - -25997.7093. What is z rounded to 2 dps? -1.29 Let s(t) = -1570007*t - 5. Let q(w) = -1570010*w - 5. Let g(v) = -2*q(v) + 3*s(v). Let j be g(-5). What is j rounded to the nearest one million? 8000000 Let u be 204600/(-341)*(-2 - (-1517712)/(-9)). What is u rounded to the nearest one million? 101000000 Let l = 0.146277 + -0.13997. What is l rounded to three dps? 0.006 Let k = -53559966 - -89227966. Round k to the nearest 1000000. 36000000 Let g = 5571 + -5571.001011. Let a = 0.3 - 0.299. Let t = g + a. What is t rounded to five decimal places? -0.00001 Let h = -2635.7 + 2637.4919. Let n = -40 - -41.8. Let i = h - n. What is i rounded to three decimal places? -0.008 Let q = 263004 - 147636. Suppose 3*i + 775368 - q = 0. What is i rounded to the nearest 10000? -220000 Let c be (-196964920)/(-5) - (-352)/22. Round c to the nearest 1000000. 39000000 Let y = 10552035.249419 - 10552046. Let b = y + 10.75. What is b rounded to 4 decimal places? -0.0006 Suppose -5*t - 15 = -25. Suppose t*s + 2 = 0, -2650001 = 7*r - 12*r + s. Round r to the nearest one million. 1000000 Let f = -0.2194607 + 0.2193. What is f rounded to five dps? -0.00016 Let p = -12122 - -12121.88082. What is p rounded to two dps? -0.12 Let i = 1143 - 1142.9971. Round i to 3 decimal places. 0.003 Let p = 31522288116 - 31522287573.99999378. Let t = p - 542. Round t to 6 decimal places. 0.000006 Let y = -49.804 + 46.1. Let k = y - -3.6. Let z = k - 0.201. Round z to 2 dps. -0.31 Let i = -16186 + 16185.99995106. Round i to 6 dps. -0.000049 Let o be 40*(85357/(-34) - -7)*70/6. What is o rounded to the nearest one hundred thousand? -1200000 Let f = 2.0632 - 105.7342. Let x = f + 105. Let y = 0.091 + x. What is y rounded to one decimal place? 1.4 Let c = -588.391 + 581.5. Roun
{ "pile_set_name": "DM Mathematics" }
3*n - 9 for m. -3 Let w = 18 - 51. Let i = w + 53. Solve 5*v + 7 = 4*x + 32, 4*v + 4*x = i for v. 5 Suppose -a = -s + 1, a = -0 + 1. Suppose -80 = -6*r + s*r. Solve -r = -4*q, 8 + 29 = -4*x + 5*q for x. -3 Suppose -5*c + c = -60. Let k(i) = 39*i**2 + 14*i + 13 + i**3 + 4 - 55*i**2. Let w be k(c). Solve w*a = -5*m - 21, -7*m = -5*a - 3*m - 3 for a. -3 Suppose 0 = -4*u + 4*x + 24, -13*u - 5*x - 26 = -17*u. Solve 0 = -u*i - 16, 3*v - 2*i - 10 = -i for v. 2 Suppose 3*z - 8*z + 20 = 5*r, r - 6 = -2*z. Solve 0*s = -s, z*s + 12 = 4*a for a. 3 Suppose 0 = -2*d + 2*z - 0*z - 74, 0 = -3*d - 4*z - 76. Suppose -5*q + 316 = 46. Let x = q + d. Solve -3*u + 5*k = u + 28, -u + 5*k = x for u. -2 Let l(b) = b**2 - 6*b + 1. Let z be l(4). Let n = z + 15. Suppose 0 = -4*w, 0 = -2*x - x - 2*w + 12. Solve x*h + 2 = 3*s, 2*h = -2*s - 2 + n for s. 2 Suppose -r - 1 = 0, -4*f = -2*f - 5*r - 15. Let s be 40 + -38 - (2 + -2 + -3). Solve -3*u + 4 - 1 = v, 0 = -f*v + s*u + 15 for v. 3 Suppose -25 = 3*i + 2*i, 2*s - 4*i = 56. Let x = s - 14. Suppose -26 = -x*c - 5*j, -22 = -2*c - 2*c - 3*j. Solve c*v - 7*w + 16 = -2*w, 0 = w for v. -4 Let j be (10/(-4))/((-200)/240). Suppose 0 - 6 = -2*y. Suppose 10*f - 5*f - 18 = -y*v, -j*v = -5*f + 12. Solve 0 = f*m - t, -5*t = -m - 7 - 7 for m. 1 Let s(d) = -7*d**3 - 4*d**2 - 17*d - 15. Let v be s(-1). Solve 0*q + 3*m - 3 = -v*q, -1 = 4*q - m for q. 0 Let k(u) = -6*u - 100. Let q be k(-17). Solve 6*w - 3*w = v + q, -4 = 2*v + w for v. -2 Let y(a) = 2*a**2 - 4*a - 4. Let g be y(-1). Solve -1 = 5*r + 3*u, g*u + 0 = 3*r - 7 for r. 1 Let v(r) = r**3 - 8*r**2 + 8*r - 10. Let z be v(7). Let q be (-1 - -4)/(z/(-4)). Let u(k) = -k. Let p be u(-2). Solve -p*h = q*n - 10, -2*n = 4*h - h - 3 for n. 3 Suppose -2 = -2*u + 2. Suppose -u*h - 2 = -4*h. Solve 0 = -b - 1 - h, -4 = -q + b for q. 2 Let t = 53 - 36. Let v = t + -25. Let u(n) = -n**3 - 7*n**2 + 6*n - 10. Let y be u(v). Solve 0 = -2*s + 5*z - 31, y*s - z + 14 = 3*s for s. -3 Suppose 3*y + 26 = 44. Suppose -y*t - 6 = -8*t. Solve -3*d + 6 = 3*n, 5*d + t*n - 5 = 1 for d. 0 Let c(z) = 5*z**2 + z**2 - 5*z**2 + 2 + 5*z. Let i be c(4). Let h = i - 17. Solve -5*g - h = l - 0*g, -2*l + g = -13 for l. 4 Suppose -25 = -5*n + 5*v, 6*v + 10 = -n + 2*v. Solve -a + 7 = -2*w, -n*a + 0*a + 4 = w for w. -2 Suppose 3*a - 29 - 25 = 0. Let b(l) = 8 - 14 + 1 - 2*l + 10. Let u be b(-2). Solve d = -d - h + u, 5*h = -d + a for d. 3 Let d(t) = t - t**2 - 3*t**3 + 0*t**2 - 2*t**3. Let h be d(1). Let x be 8/h*(-10)/2. Solve -2*v + v - 3*l + 2 = 0, -4*v + x = 2*l for v. 2 Suppose 7 = 2*k - 5. Suppose 3*a - 9 = 3. Let v = k - a. Solve 2*r + 0*r = -2*y + 4, v*y + 2 = 0 for r. 3 Let x be (-265)/(-25) - 2*4/(-20). Solve -2*b + x = -p, b - 2*b - 4*p = 8 for b. 4 Let l be 41/13 - (-12)/(-78). Solve 4*c + 10 = -22*a + 23*a, -c + 3*a + l = 0 for c. -3 Let d = -60 - -63. Solve 2*u + 8 = -d*w + 5*w, 0 = 5*w - 4*u - 15 for w. -1 Let a = 36 + -34. Let s(x) = x**3 - 5*x**2 - 6*x + 3. Let v be s(6). Solve -u + 3 = -v*g - a*g, -3*g = -3*u - 3 for u. -2 Suppose -4*y + 24 = 2*i, 0 = 2*i + 3*i + 2*y - 20. Suppose -5*z - 48 = z. Let b be 10/30 - z/3. Solve s - i = -b*m + 4, -s = -m - 2 for m. 1 Suppose -2*t = -5*l - 50, -4*t + 7*l - 2*l = -90. Suppose -t = -u + 2. Let a = 7 + -5. Solve -2*p - 3*p - u = 3*m, -a*m = p + 3 for p. -5 Suppose 3*m = -2 - 4. Suppose 5*q + 5 = 15. Let x be q - m - (-3 - 9). Solve 5*p - 5*d = 7*p + x, 23 = -5*p - 4*d for p. -3 Suppose -2*s + 5*s - 27 = 0. Let p(t) be the first derivative of t**2 - 8*t + 29. Let x be p(s). Solve -2*g = 2*q - x, g + 5*q = -g + 25 for g. 0 Let t(j) = j**3 + 4*j**2 + 2*j + 7. Let h be t(-5). Let x be (-204)/h - (-2)/(-7). Suppose -8 - 6 = -x*o. Solve 5*k = -o*p + 21, 0 = 3*p - 7*p + k + 9 for p. 3 Suppose 0 = -5*t + 1961 - 1951. Solve 5*l = 2*n + 15 + 3, 0 = -n - t*l for n. -4 Let r = -123 + 123. Let y(k) = 14*k + 6. Let g be y(r). Solve -g*p - 19 = -d - 2*p, -4*d - 5*p - 8 = 0 for d. 3 Let q(l) = l**2 + 11*l - 3. Let j be q(-11). Suppose -10 = 2*d - 2. Let c be (-4)/(d/j) + 7. Solve 0*t = -t + 5*n - 24, 2*t - 22 = -c*n for t. 1 Let g be ((-300)/70)/(1/(-7)). Let d be 12/g + (-26)/(-10). Let v(c) = c - 4. Let j be v(7). Solve 3*x = -5*q - 31, j*q - d*x = x - 7 for q. -5 Let o be 4/(-2)*(-177)/118. Let u = -1 + 14. Let h = u - 9. Solve h*c - 3 = -3*a + 14, -o*a - 28 = -5*c for c. 5 Suppose -3*z - z = -8. Let n be (0 - 14)*(23/(-7) + 3). Solve 5*k - 9 = -p, -3*k + z*p - n*p = -4 for k. 2 Suppose j + 4*j - 20 = 0. Let f = -7 + 12. Suppose 0 = -5*s + 5*l + 45, 6*l = 10*l + 12. Solve -f*q - 9 = j*p, 3*q - 8*q = p + s for p. -1 Suppose 29*d - 21*d = 936. Let h be (d/(-18))/(2/(-8)). Solve -5*k - 5*l + 23 = -3*l, -h = -2*k - 5*l for k. 3 Let r = 497 + -497. Let t = -11 - -27. Solve z = 4*z, r = 4*f + 5*z + t for f. -4 Suppose -17*p + 10*p + 49 = 0. Solve -4 = -o - o, 4*o = j + p for j. 1 Let d be 4 - (-3*(-8)/(-6) + 6). Solve i - 2*g - 11 = 0, -17 = d*i - i + 5*g for i. 3 Suppose -b = 3*n - n - 10, 0 = -5*n + 5*b + 40. Solve i + 10 = -5*y, n*y - 5*y + 2 = -2*i for y. -2 Suppose 0 = -3*x + 39 - 6. Suppose -4*n - n + 25 = 0. Let y be ((-15)/(-10))/(((-9)/30)/(-1)). Solve -d - y = u, d + n*u + x = u for d. -3 Let x(f) be the second derivative of f**5/20 + f**4/6 - f**3/6 + 2*f**2 - 15*f. Let q be x(0). Solve -p + 2*j + 9 = 2, -q*p - 2*j = -8 for p. 3 Let t(a) = a + 22. Let w be -27*(13 + -10)*2/9. Let i be t(w). Solve 5*c = i*z + 15, 7*c - 3*c = -4*z + 12 for c. 3 Let b(x) = -x**3 + 50*x**2 - 137*x - 180. Let j be b(47). Suppose 0 = -3*p - 4 + 13. Solve p*r - 5*t = r - 18, 0 = -4*r - 4*t - j for r. -4 Let y be 4 + (-8 - -1) - -3. Suppose y = -5*a + 7 + 8. Let n be (6/4)/(6/40). Solve 0 = 4*g + u + 3 - 20, 0 = a*g - 2*u - n for g. 4 Let u(d) = 10*d - 16 + d**2 + 7 - 9*d + 6*d. Let n be u(-9). Solve -3*o + 3*l = 22 - 4, -3*l + n = 0 for o. -3 Let x(i) = -i**2 - 12*i - 7. Let y be x(-9). Let q be (y/28 - (-6)/21)*4. Solve -w = -5*s - 15 - 9, 5*w - 36 = q*s for s. -4 Let j(y) = y - 2. Let r be j(4). Let m(w) = -8*w**r + 4*w + 1 + 17*w**2 - 10*w**2. Let k be m(2). Solve -3*u = -4*u + k, 2*i + 5*u = 17 for i. -4 Let u(l) = l**2 - 8*l + 14. Let k be u(5). Let d be (-1)/k + (-3 - -6). Solve -d*m = x - 9, 3*m - 2*x = -2 - 5 for m. 1 Let j(h) = 9*h**2 - 14*h - 6. Let k be j(2). Solve k*p = 3*q - 13, -3*p - 4*q = -p - 8 for p. -2 Let k = -4 + 10. Let q be -2*(4/(-24) + (-8)/k). Solve -q*b + 0*b + a = 1, 4 = 4*a for b. 0 Let w = 97 - 95. Suppose -u - 2 = -w. Solve 2*p + 5 = 5*d, u = 5*p - 3*d - 24 + 8 for p. 5 Suppose -2*h = s - 7, 2*h - 4*s + 7 = 29. Solve -29 = h*o + 5*z - 3*z, -z - 2 = 0 for o. -5 Suppose 4*j - 8 + 0 = 0. Suppose u + u - j = 0. Suppose -u = -2*v + 9. Solve v*s - 6 = s + 5*y, -3*y - 14 = -5*s for s. 4 Suppose -5*c + 3*j + 25 = 0, 4*c - 28 = 30*j - 26*j. Solve -y - 18 = -p - 4*p, -c*p + y = -6 for p. 4 Suppose 0 = 2*t + 3*t. Suppose 17*d - 14*d + 213 = 0. Let m = d - -75. Solve t = -r + 2*r + 4*j + 16, 8 = -3*r - m*j for r. 4 Suppose 0 = 20*i - 6*i - 70. Solve i*s + 21 = 2*c - 4*c, -5*c + s + 15 = 0 for c. 2 Suppose -5*k - 13 = -4*r, -k - 3*r + 9 = -4*k. Let p be (19 - 20)*(k + 2 + -1). Solve -5 = -p*z + z - 2*b, z + 1 = b for z. 3 Let h be -5 - (0 + (-1 - -1 - 8)). Solve 0 = -h*w + 3*f, 0 = 3*w + f + 3*f - 21 for w. 3 Suppose 5 = j + 4*j. Let r be j - 5/(-2)*2. Suppose 2*z + 3*g = 4, 0*z = -4*z - 3*g + 8. Solve -r = z*m - q, 3*m + 10 = q + q for m. -2 Suppose 5*q - 13 = 12. Let m(o) = -o + 4. Let g be m(1). Suppose -28 = -5*i + d, -4*d = g*i - 3*d - 12. Solve -s + i = -q*z, 5*s = -8*z + 3*z - 35 for z. -2 Let z be (-7 - -1)/((5 + -9)/2). Solve z*l - 3 = -b + 4*b, -3*l + 2*b - 2 = 0 for l. -4 Suppose -1 - 2 = -o. Let u(x) = x - 4. Let d be u(4). Suppose -4*q + 4 + 8 = d. Solve -4*z + 6 = -z + q*g, o = 2*z + g for z. 1 Let t be (-70 - -68)*(-3)/2. Solve 4*x + t*f = 27 + 5, -26 = -2*x - 4*f for x. 5 Let p = 10 - 11. Let s(k) = 3*k**2 - k. Let g be s(p). Suppose 3*j = 2*d + 10, -3*j + 3*d + 1 = -5. Solve -g*h + 5*v = v + 12, j = -2*h + v for h. -3 Suppose -15*f + 12*f = -63. Solve 4*p - 5 = 3*t - f, -5*t = -p - 21 for t. 4 Suppose 3*d + 8 = 2*d + s, -d - 13 = -2*s. Let m = d - -6. Solve -q = -w + 2*w + 3, -6 = m*q for w. -1 Let g be ((-288)/(-480))/((-6)/(-20)). Let f be 2/(0 - -2) + 2.
{ "pile_set_name": "DM Mathematics" }
4*x**2 Suppose 0 = -0*c + 2*c - 14. Let f(w) = -2*w**2 + 4*w**2 + w**2 - c*w**2. Let x(z) = 2*z**2. What is x(f(h))? 32*h**4 Suppose -3*a + j + 13 = 0, -14 = -2*a + 3*j - 5*j. Let z(r) = a*r - 2*r + 0*r. Let v(b) be the second derivative of b**3/3 - b. Calculate z(v(q)). 6*q Let y(h) = -1. Let l(j) = -7*j - 6. Let p(n) = l(n) - 6*y(n). Let a(x) = -x**2. Determine a(p(d)). -49*d**2 Let f(s) be the third derivative of -s**5/60 - 11*s**2. Let x(q) = q**2. Give x(f(h)). h**4 Let p(o) = 2*o. Let g(i) = -5*i. Let y be (-2)/(-5) - (-13)/5. Let r(q) = y*g(q) + 7*p(q). Let d(t) = -22*t + 22*t + t**2. What is r(d(z))? -z**2 Let t(r) = 13*r - r - 9*r. Let s(f) = 2*f**2. What is t(s(h))? 6*h**2 Let b(a) = 6*a. Let k(v) = v. Let t(c) = -b(c) + 5*k(c). Let j(o) be the second derivative of -o**3/3 - o. Give t(j(g)). 2*g Let n(v) be the first derivative of v**2/2 + 11. Let t(b) = -b**2 + 2*b**2 - 3*b**2. Determine n(t(s)). -2*s**2 Let i(u) = 3*u**2. Let j(h) = 6 + 2*h**2 - 6. Give i(j(r)). 12*r**4 Let g(w) = -15*w**2. Let f(l) = -16*l**2 + 31*l**2 - 14*l**2. Determine f(g(t)). 225*t**4 Let c(f) be the second derivative of -f**7/180 - f**4/4 - 5*f. Let r(o) be the third derivative of c(o). Let v(s) = -s**2. What is v(r(n))? -196*n**4 Let r(n) = -4*n - 8. Let u(l) = -l - 3. Let k(p) = -3*r(p) + 8*u(p). Let j(q) = -4. Let a(f) = 2*f - 24. Let y(c) = a(c) - 6*j(c). Give y(k(g)). 8*g Let q(y) be the second derivative of -5*y**3/6 - 6*y**2 - 19*y. Let z(g) = -2*g**2. Determine z(q(l)). -50*l**2 - 240*l - 288 Let t(v) = -9*v. Let j(w) = 3*w. Determine j(t(l)). -27*l Let f(l) = -24*l. Let s(p) = 13*p**2. What is s(f(w))? 7488*w**2 Let m(s) = 2*s. Let t(l) be the third derivative of -3*l**5/5 - 3*l**2. Calculate t(m(j)). -144*j**2 Let y(w) = 7*w. Let f(o) = 2*o + 7. Let i(q) = q + 3. Let n(l) = -6*f(l) + 14*i(l). Calculate y(n(d)). 14*d Let w(o) = -3*o. Let c(i) = -2*i**2 - 7*i + 7. Let f(k) = -k**2 - 2*k + 2. Let x(r) = -2*c(r) + 7*f(r). Calculate w(x(u)). 9*u**2 Let y(m) = 2*m. Let l(q) = -q. Let g(p) = 5*l(p) + 3*y(p). Let r(s) = 2*s + 5. Let x(i) = 3*i + 8. Let v(u) = -8*r(u) + 5*x(u). Calculate v(g(z)). -z Let n(v) = 2*v + 5. Suppose 0 = s - 2 + 8. Let w(z) = 2*z + 6. Let f(m) = s*n(m) + 5*w(m). Let q(g) = 10*g. Determine q(f(l)). -20*l Let s(n) = 1240*n**2. Let i(q) = -19*q. Determine s(i(m)). 447640*m**2 Let v(n) be the first derivative of n**5/120 - 4*n**3/3 - 5. Let m(b) be the third derivative of v(b). Let k(g) = 13*g**2. Calculate k(m(w)). 13*w**2 Let v(d) = -115*d - 3. Let o(w) = 3*w. Calculate v(o(h)). -345*h - 3 Let l(f) = -3*f. Suppose -2*v - 3 = -7. Suppose -33 = -v*y + 9. Let s(q) = q + y - 21. Determine s(l(u)). -3*u Let s(h) = -2*h**2. Let t(u) = -2*u**2 + 2*u**2 - 4*u**2. Calculate s(t(y)). -32*y**4 Let f(b) = 4*b**2 - 3*b**2 - 2*b**2. Let a be (1 - -2)*(-5)/(-3). Let t(k) = 2*k - a*k + k. Calculate f(t(y)). -4*y**2 Let a(l) = -l. Let t be (0 - (-4)/(-4))*-2. Let q(s) = -s - t*s + 4*s - 3*s. Calculate a(q(g)). 2*g Let q(l) = -143*l. Let d(s) = -3*s**2. What is d(q(t))? -61347*t**2 Let w(h) = 23 - 2*h - 45 + 22. Let y(m) = 8*m. Determine y(w(r)). -16*r Let o = 9 + -7. Let a(i) = -i**2 + i**o - 2*i**2. Let b(r) = 1 - 1 + 2*r**2. Calculate b(a(s)). 8*s**4 Let r(t) = 3*t - t + t. Let u(o) be the first derivative of 22*o**3/3 + 6*o**2 - 2. Let h(p) = -9*p**2 - 5*p. Let x(m) = -12*h(m) - 5*u(m). Give r(x(z)). -6*z**2 Let w(m) = -5*m. Let u = 5 + -8. Let i(r) = -r**2 + 3*r. Let o(c) = -4*c + 3*c + c**2 + 2*c - 5*c. Let p(x) = u*o(x) - 4*i(x). Determine w(p(y)). -5*y**2 Let j(s) = 20*s**2. Let v(d) = -4*d**2. Determine j(v(f)). 320*f**4 Let r(m) = -70*m + 21. Let n(i) = -7*i + 2. Let k(v) = 21*n(v) - 2*r(v). Let j(f) = -f**2. Give j(k(x)). -49*x**2 Let m(x) be the third derivative of 13*x**5/60 + 8*x**2. Let u(t) = -t. Calculate m(u(y)). 13*y**2 Let n(t) = -3*t. Let k(c) = -28*c. Determine n(k(p)). 84*p Let r(m) be the third derivative of -7*m**5/60 - 42*m**2. Let k(z) = 3*z. What is r(k(a))? -63*a**2 Let s(b) be the third derivative of -b**4/8 - 5*b**3/6 + 2*b**2. Let n(h) = -4*h - 7. Let f(c) = -5*n(c) + 7*s(c). Let u(m) = 2*m**2. Calculate u(f(z)). 2*z**2 Let u(w) = -w + 2*w + 0*w. Let l(p) = 2*p. Give u(l(b)). 2*b Let f(r) = 5*r**2. Let h(p) be the second derivative of p**5/60 + p**2 + 3*p. Let d(u) be the first derivative of h(u). Give f(d(l)). 5*l**4 Let d(n) be the second derivative of -13*n**3/2 - 42*n. Let a(v) = -2*v. Determine d(a(h)). 78*h Let w(d) = 3*d. Let t(q) be the third derivative of q**5/40 + 2*q**3/3 - 4*q**2. Let h(s) be the first derivative of t(s). Determine h(w(c)). 9*c Let q(w) = -551*w. Let d(m) = -6*m**2. What is d(q(u))? -1821606*u**2 Let j(v) = -3*v + v - 5*v + 0*v. Let y(x) be the first derivative of x**4/6 + x + 1. Let s(p) be the first derivative of y(p). Calculate s(j(d)). 98*d**2 Let u(m) be the third derivative of 0*m**3 - 6*m**2 + 1/12*m**4 + 0 + 0*m. Let k(v) = -22*v**2. What is u(k(i))? -44*i**2 Let t(a) = -2*a. Let q be 1/(-6) + ((-2)/12)/(-1). Let y = 4 - 2. Let i(v) = y*v + q + 0. Calculate t(i(n)). -4*n Let u(d) be the first derivative of 2*d**2 + 34. Let x(a) = 2*a**2. Determine x(u(i)). 32*i**2 Suppose -2*w - o = -w + 3, 2*w - o = -3. Let f be (3 + w - -3) + 0. Let i(l) = l - l + 5*l - f*l. Let p(r) = 3*r. Determine i(p(t)). 3*t Let i(a) be the second derivative of 0*a**2 + 0 + 1/2*a**3 - 2*a. Let u(m) be the second derivative of -m**3/6 - 2*m. Give i(u(o)). -3*o Let o(v) = -10*v + 145 - 145. Let s(m) = -2*m**2. Determine s(o(n)). -200*n**2 Let g(v) = -2*v. Let k(o) = -o**3 + 5*o**2 + 7*o - 4. Let r be k(6). Let a be (r/(-1) - -2)/1. Let c(h) = 0*h + 2*h**2 + a*h. Give g(c(j)). -4*j**2 Let q(w) = -2*w**2. Let d(j) be the second derivative of j**2 + j. Let n(c) be the first derivative of c**2/2 - c - 4. Let v(t) = d(t) + 2*n(t). Give v(q(p)). -4*p**2 Let c(l) = -20*l - 75. Let v(p) = 4*p. Give c(v(b)). -80*b - 75 Let r(s) = -5*s. Let k(h) = -37*h. Give k(r(g)). 185*g Let l(m) = 4*m. Let g(t) = 31*t. What is g(l(i))? 124*i Let w(y) be the first derivative of -y**3 + 19. Let z(x) = -4*x**2. Calculate z(w(t)). -36*t**4 Let x(a) = 10*a**2. Let c(v) = -2*v**2 + v**2 - 19 + 19. Give x(c(s)). 10*s**4 Let z(o) = -5*o. Let b(k) = 2*k**2 - 5. What is b(z(g))? 50*g**2 - 5 Let w(y) = 11*y. Let v(b) = 14*b**2 - b. Calculate v(w(r)). 1694*r**2 - 11*r Let l(o) = 2*o. Let g(u) be the third derivative of 37*u**5/60 - u**4/24 + 45*u**2. Give g(l(r)). 148*r**2 - 2*r Let q(y) = -2*y**2. Let j be (5/2)/(3/6). Suppose -j*r = -0*r, 3*p = -r + 18. Let t(w) = -p + 6 + w**2. Determine q(t(o)). -2*o**4 Let a(v) = 2*v. Let i(t) = 4*t**2 - 19*t - 7. Let g(r) = -r**2 + 6*r + 2. Let n(d) = 7*g(d) + 2*i(d). Let f(b) = -b. Let k(x) = -4*f(x) - n(x). Give a(k(u)). -2*u**2 Let y(x) = -x**2. Let m be (0/(-2)*-1)/(-2). Suppose m = -w + 2 - 0. Let i(l) = -4*l**w - 2*l**2 + 2*l**2. Calculate i(y(z)). -4*z**4 Let g(t) = -t - 20. Let j(u) = -4*u. Give j(g(k)). 4*k + 80 Let l(z) = -1162 - 4*z + 1162. Let s(i) = -4*i. Determine l(s(q)). 16*q Let q(r) be the third derivative of r**5/60 - 4*r**2. Let w(z) be the second derivative of 0*z**2 + 0 - z + 0*z**3 + 1/3*z**4. What is q(w(h))? 16*h**4 Let c(m) = -2*m**2 + 4*m. Let s(p) = p**2 - 3*p. Let j(q) = -3*c(q) - 4*s(q). Let y = 17 - 12. Let d(g) = 1 - 6 + 2*g**2 + y. What is d(j(u))? 8*u**4 Let t(v) = -v + 6. Let g(j) = 3*j - 17. Let b(a) = 6*g(a) + 17*t(a). Let f(h) be the first derivative of 2*h**2 - 8. Give b(f(m)). 4*m Let n(q) = -5*q**2. Let u(z) = -44*z**2 + 7*z. Calculate u(n(m)). -1100*m**4 - 35*m**2 Let b be 0 - (-2 - (-18)/(-3)). Let h(n) = -2*n + 6 - b + 2. Let i(l) be the first derivative of l**2/2 + 1. What is i(h(k))? -2*k Let d(v) = -15*v**2. Let n(i) be the third derivative of i**5/15 + i**2 - 1. Calculate n(d(x)). 900*x**4 Let n(s) be the second derivative of -s**4/2 + s. Let x(d) = -3*d**2 - 2*d**2 + 7*d**2. Calculate n(x(j)). -24*j**4 Let d(i) = 171*i**2. Let o(q) = -6*q. Determine d(o(n)). 6156*n**2 Let v(s) = -4*s. Let a(q) = -q. Let r(x) = 5*x. Let i(u) = 9*a(u) + 2*r(u). Give v(i(y)). -4*y Let v(k) = 3*k. Suppose -4*y - 6*a + a = -24, -5*a = -4*y + 24. Let d(o) = -7 + o - y + 13. Determine v(d(m)). 3*m Let k(n) = -2*n. Let b(x) = -118*x**2 - 7*x. Determine k(b(y)). 236*y**2 + 14*y
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 387781? 387781 What are the prime factors of 2969628? 2, 3, 17, 14557 List the prime factors of 395376. 2, 3, 8237 List the prime factors of 430744. 2, 23, 2341 What are the prime factors of 258142? 2, 337, 383 List the prime factors of 4825161. 3, 11, 17, 47, 61 What are the prime factors of 839354? 2, 73, 5749 What are the prime factors of 1771242? 2, 3, 11, 47, 571 List the prime factors of 1578335. 5, 11, 28697 What are the prime factors of 7239492? 2, 3, 13, 31, 499 What are the prime factors of 3378888? 2, 3, 15643 List the prime factors of 2561917. 17, 37, 4073 List the prime factors of 1081769. 13, 37, 173 List the prime factors of 31912118. 2, 7, 367, 6211 What are the prime factors of 430848? 2, 3, 11, 17 List the prime factors of 204472. 2, 61, 419 List the prime factors of 240015. 3, 5, 16001 List the prime factors of 525577. 13, 40429 List the prime factors of 279485. 5, 55897 What are the prime factors of 1551067? 7, 221581 List the prime factors of 15616018. 2, 11, 173, 373 List the prime factors of 230381. 101, 2281 List the prime factors of 7633604. 2, 11, 173491 List the prime factors of 1774522. 2, 887261 List the prime factors of 5442643. 229, 23767 What are the prime factors of 541396? 2, 135349 What are the prime factors of 2752714? 2, 53, 25969 What are the prime factors of 496411? 661, 751 What are the prime factors of 748818? 2, 3, 7, 283 List the prime factors of 15858497. 379, 41843 What are the prime factors of 86497? 67, 1291 What are the prime factors of 3773475? 3, 5, 31, 541 List the prime factors of 6509037. 3, 41, 52919 List the prime factors of 12167644. 2, 23, 132257 What are the prime factors of 122763? 3, 151, 271 What are the prime factors of 128454? 2, 3, 79, 271 List the prime factors of 25586. 2, 11, 1163 What are the prime factors of 119827? 119827 What are the prime factors of 1790325? 3, 5, 73, 109 What are the prime factors of 833871? 3, 239, 1163 List the prime factors of 11324125. 5, 17, 73 What are the prime factors of 197894? 2, 98947 List the prime factors of 352100. 2, 5, 7, 503 List the prime factors of 279366. 2, 3, 101, 461 List the prime factors of 1407421. 419, 3359 List the prime factors of 54722. 2, 27361 List the prime factors of 8509453. 8509453 List the prime factors of 1256720. 2, 5, 23, 683 List the prime factors of 1967083. 223, 8821 What are the prime factors of 19209861? 3, 11, 29, 6691 List the prime factors of 28937. 19, 1523 List the prime factors of 2277810. 2, 3, 5, 25309 What are the prime factors of 33198769? 59, 562691 List the prime factors of 42198259. 19, 2220961 What are the prime factors of 380088? 2, 3, 5279 What are the prime factors of 15875711? 163, 97397 What are the prime factors of 1555543? 11, 141413 List the prime factors of 4629732. 2, 3, 385811 List the prime factors of 1603295. 5, 320659 List the prime factors of 291939. 3, 23, 4231 List the prime factors of 508915. 5, 11, 19, 487 List the prime factors of 1927032. 2, 3, 23, 3491 What are the prime factors of 3820041? 3, 47161 What are the prime factors of 16637087? 37, 43, 10457 List the prime factors of 566951. 7, 11, 37, 199 What are the prime factors of 1001446? 2, 500723 What are the prime factors of 369741? 3, 37, 3331 What are the prime factors of 144422? 2, 72211 What are the prime factors of 2076971? 13, 197, 811 List the prime factors of 4445001. 3, 11, 59, 761 List the prime factors of 316696. 2, 31, 1277 List the prime factors of 116806. 2, 58403 What are the prime factors of 9281381? 1051, 8831 What are the prime factors of 43862035? 5, 7, 23, 103 List the prime factors of 28188466. 2, 61, 231053 List the prime factors of 31811. 13, 2447 What are the prime factors of 5937020? 2, 5, 37, 71, 113 What are the prime factors of 993442? 2, 59, 8419 List the prime factors of 1060044. 2, 3, 88337 What are the prime factors of 729884? 2, 182471 List the prime factors of 8870440. 2, 5, 211, 1051 What are the prime factors of 164788? 2, 13, 3169 List the prime factors of 27727675. 5, 281, 3947 What are the prime factors of 3682105? 5, 7, 19, 113 List the prime factors of 146258. 2, 7, 31, 337 List the prime factors of 33800102. 2, 7, 311, 1109 List the prime factors of 422189. 31, 13619 List the prime factors of 305118. 2, 3, 11, 23, 67 List the prime factors of 767677. 767677 List the prime factors of 3299014. 2, 1649507 List the prime factors of 243520. 2, 5, 761 List the prime factors of 213229. 213229 What are the prime factors of 19059? 3, 6353 List the prime factors of 1015488. 2, 3, 41, 43 List the prime factors of 244344. 2, 3, 10181 List the prime factors of 472950. 2, 3, 5, 1051 What are the prime factors of 4841404? 2, 1210351 What are the prime factors of 26228? 2, 79, 83 What are the prime factors of 3845684? 2, 61, 15761 List the prime factors of 7276104. 2, 3, 11, 9187 What are the prime factors of 712251? 3, 79139 List the prime factors of 9353118. 2, 3, 157, 9929 List the prime factors of 932840. 2, 5, 23321 List the prime factors of 2335141. 61, 38281 What are the prime factors of 1869513? 3, 623171 List the prime factors of 24964716. 2, 3, 7, 42457 What are the prime factors of 156043? 17, 67, 137 What are the prime factors of 684861? 3, 43, 5309 List the prime factors of 3132271. 31, 79, 1279 What are the prime factors of 4079321? 31, 131591 List the prime factors of 13322654. 2, 6661327 What are the prime factors of 7771540? 2, 5, 7, 55511 What are the prime factors of 4786284? 2, 3, 398857 List the prime factors of 14725349. 17, 866197 What are the prime factors of 2240560? 2, 5, 7, 4001 List the prime factors of 3657520. 2, 5, 131, 349 What are the prime factors of 326090? 2, 5, 32609 List the prime factors of 195417. 3, 21713 List the prime factors of 830470. 2, 5, 83047 What are the prime factors of 7853098? 2, 11, 356959 List the prime factors of 10071. 3, 373 What are the prime factors of 1323304? 2, 53, 3121 What are the prime factors of 8552616? 2, 3, 433, 823 List the prime factors of 148664. 2, 18583 List the prime factors of 3737931. 3, 53, 23509 What are the prime factors of 14174847? 3, 521, 3023 List the prime factors of 14716. 2, 13, 283 List the prime factors of 1166295. 3, 5, 13, 5981 What are the prime factors of 74080? 2, 5, 463 List the prime factors of 31268790. 2, 3, 5, 7, 49633 List the prime factors of 8495. 5, 1699 What are the prime factors of 4638114? 2, 3, 13, 6607 List the prime factors of 23247590. 2, 5, 457, 5087 List the prime factors of 271908. 2, 3, 7, 13, 83 What are the prime factors of 570388? 2, 7, 13, 1567 List the prime factors of 44868. 2, 3, 3739 List the prime factors of 339033. 3, 113011 List the prime factors of 312239. 17, 18367 What are the prime factors of 910507? 13, 70039 What are the prime factors of 607503? 3, 13, 37, 421 List the prime factors of 2686551. 3, 7, 127931 List the prime factors of 279677. 307, 911 List the prime factors of 8495. 5, 1699 What are the prime factors of 1119969? 3, 107, 1163 List the prime factors of 308430. 2, 3, 5, 23, 149 List the prime factors of 689074. 2, 113, 3049 List the prime factors of 1365189. 3, 7, 37, 251 List the prime factors of 41362. 2, 20681 List the prime factors of 36127. 7, 13, 397 List the prime factors of 1526972. 2, 229, 1667 List the prime factors of 2035677. 3, 7, 31, 53, 59 What are the prime factors of 7759390? 2, 5, 775939 What are the prime factors of 117927? 3, 13103 List the prime factors of 9795637. 127, 137, 563 List the prime factors of 32125. 5, 257 What are the prime factors of 1112097? 3, 7, 52957 List the prime factors of 6393256. 2, 317, 2521 What are the prime factors of 8579568? 2, 3, 47, 3803 List the prime factors of 2051014. 2, 7, 43, 3407 What are the prime factors of 5229443? 5229443 What are the prime factors of 624024? 2, 3, 107 What are the prime factors of 918478? 2, 11, 83, 503 What are the prime factors of 3354118? 2, 587, 2857 List the prime factors of 3065736. 2, 3, 127739 What are the prime factors of 19605200? 2, 5, 23, 2131 What are the prime factors of 845655? 3, 5, 56377 What are the prime factors of 15536091? 3, 19, 272563 List the prime factors of 48666. 2, 3, 8111 What are the prime factors of 26132986? 2,
{ "pile_set_name": "DM Mathematics" }
(a) -7/6 (b) -10 (c) -5 a What is the closest to 0 in 0.5, 2/37, 1/20? 1/20 What is the closest to 1 in -0.2, -139, 3, -4? -0.2 Which is the closest to 5? (a) -1 (b) 2/5 (c) -2/5 (d) -0.1 b What is the nearest to -5 in 4, 3/8, 3/4? 3/8 What is the nearest to 0 in -1/2, 12, 5, -0.1? -0.1 Which is the closest to 0.01? (a) 1/3 (b) 3.1 (c) 1/7 c Which is the closest to 2/3? (a) -27 (b) -3/14 (c) -2/9 b Which is the nearest to 0? (a) 1/12 (b) -2/11 (c) -0.11 (d) -0.04 d What is the closest to 0 in 2/15, -5, -0.1, 32? -0.1 What is the nearest to -2 in 2/13, -4, 5, -40? -4 Which is the nearest to 5? (a) -1/5 (b) 2 (c) -2/7 b What is the nearest to 38 in 4, 9, -1? 9 Which is the closest to -33? (a) -24 (b) -3 (c) 3 a What is the closest to 1/4 in 5, -2/11, -2, 0.5? 0.5 What is the nearest to -0.2 in -0.02, -1, 0, 12? -0.02 What is the closest to 2 in -2, -2/431, -1/3, 4/3? 4/3 Which is the closest to -1/4? (a) 2 (b) -4/3 (c) -2/7 (d) -3/7 c What is the closest to 1 in 2/3, -4, 3/4, -0.04? 3/4 What is the nearest to -5 in -3, -1/7, 0, 0.1? -3 What is the nearest to 1/6 in -5, 0, 9? 0 What is the nearest to 0 in -10, 3, 0.4? 0.4 Which is the nearest to 22? (a) 2 (b) 311 (c) 4 c What is the nearest to -2.259 in 1/2, -3, -5? -3 Which is the closest to 2/9? (a) -5 (b) 0 (c) -0.4 (d) -6 b Which is the nearest to -1? (a) -1/2 (b) -17/7 (c) 12 (d) 3/5 a What is the nearest to 1/5 in -0.01, -4, 3/7, -1? -0.01 What is the closest to 2/3 in 1, 0, 61? 1 Which is the closest to -1? (a) 0.4 (b) 37 (c) -3 (d) -1/6 d What is the closest to -0.02 in 0.28, 2/7, 1? 0.28 What is the nearest to -1/4 in -0.3, -0.37, -45? -0.3 Which is the closest to -1? (a) 5 (b) -11 (c) -0.02 (d) 0.4 c What is the closest to 0.7 in -3, 2, 2/3, 4/5? 2/3 Which is the nearest to -2/7? (a) 6 (b) 0.14 (c) -2 b Which is the closest to 3? (a) 4 (b) 1 (c) -1 (d) 0.6 a Which is the nearest to 6? (a) -0.1 (b) -0.03 (c) 2/9 (d) -4 c Which is the nearest to -1? (a) 60 (b) 0.3 (c) -1/2 (d) -2 c Which is the closest to 1/21? (a) 0.3 (b) 0 (c) 1/2 b Which is the closest to 1? (a) -1/3 (b) 2 (c) -0.2 (d) 0.2 d What is the closest to -0.1 in 1, 4, 11, 0.08? 0.08 Which is the closest to -2/11? (a) 3 (b) 51 (c) -3 c Which is the nearest to -1? (a) 8 (b) 2 (c) 285 b Which is the nearest to 1? (a) 10 (b) 3 (c) -2/3 (d) 0 d What is the closest to 0.053 in 0.1, -5, -3, -1/2? 0.1 What is the closest to 0 in -1/3, -5, 2? -1/3 Which is the nearest to 1? (a) 2 (b) -5/2 (c) 35 (d) 0.4 d What is the closest to 0.2 in 0.13, -0.5, 3/4? 0.13 What is the closest to 5/6 in 0, 1, 5? 1 Which is the nearest to 0.7? (a) 2 (b) 3 (c) -2/5 c What is the closest to -0.1 in -1, -5/2, 3, -2/21? -2/21 Which is the closest to -0.23? (a) 2/15 (b) -4 (c) 2/5 a Which is the nearest to -1? (a) 1 (b) -2/15 (c) -5 b What is the nearest to 0.32 in 0.5, -4, 0, -5? 0.5 What is the closest to 2/5 in -7/3, -1/5, -2/3? -1/5 Which is the closest to 9/2? (a) 1 (b) 2 (c) 0.5 b Which is the nearest to 1? (a) 3/8 (b) 1/6 (c) -15/4 a Which is the closest to -0.2? (a) -1/2 (b) 1 (c) -1/13 (d) -1 c Which is the nearest to 0? (a) 1 (b) -3.7 (c) -5 (d) 0.4 d What is the nearest to -1/3 in -2/11, 0.1, 2? -2/11 Which is the nearest to -2? (a) 0.3 (b) -2 (c) 0.5 b What is the nearest to -7 in 2/15, -3, -7? -7 Which is the nearest to 29? (a) -1/3 (b) 1 (c) -43 b What is the closest to -106 in 2, -4, -3, 6/11? -4 Which is the closest to -1? (a) 87 (b) 1/3 (c) 62 b Which is the closest to -1.4? (a) -8 (b) 4 (c) 3 c Which is the closest to -2? (a) -0.3 (b) -0.09 (c) -0.4 (d) -0.1 c What is the nearest to -2/7 in -5, 2/5, -6? 2/5 Which is the nearest to 2/27? (a) -4 (b) 12 (c) -0.7 c Which is the closest to 1? (a) -1/5 (b) 1371 (c) 1/7 (d) 2/9 d What is the closest to 28 in -8/9, 2/21, -0.2? 2/21 Which is the closest to 0.1? (a) -5 (b) -4 (c) -2.04 c What is the closest to 10 in -0.2, 0.1, 5, -0.1? 5 What is the closest to 0 in -0.08, -114, 5? -0.08 Which is the nearest to 1? (a) 0.7 (b) -1/4 (c) 2/3 (d) 1/72 a Which is the closest to 1/4? (a) -10/9 (b) 0.3 (c) -0.25 b What is the closest to 3 in -5, 1/199, 8? 1/199 Which is the nearest to 2/3? (a) -10.3 (b) 32 (c) 5/4 (d) -4 c What is the closest to -5 in -0.2, 1, 2, 0.5? -0.2 What is the nearest to 1 in 1, -0.3, 104, -1? 1 What is the nearest to 1/36 in 4, 2/9, 0, 1/4? 0 What is the closest to 10 in -1/4, -6, -0.1, -5? -0.1 Which is the nearest to -2? (a) -0.4 (b) -1/7 (c) 1.4 a What is the nearest to 0 in -0.4, 1/5, 2/9, 5? 1/5 What is the nearest to -4 in -3, -4, -0.12? -4 What is the nearest to 0.1 in 0.5, -2, -1? 0.5 What is the closest to -5 in 5/4, 5, -1? -1 What is the closest to 0.1 in 2, -2/9, 4, -12? -2/9 Which is the closest to 0.2? (a) -2 (b) -2/11 (c) -13.6 b What is the nearest to -3 in 4, 0.09, -1/4, -2/9? -1/4 Which is the closest to 0? (a) -12 (b) -2 (c) -0.2 c What is the closest to 0.1 in 0, -5, 10, -0.4? 0 What is the closest to -1 in -0.9, -0.26, -1/2, -4? -0.9 What is the closest to -0.2 in 1/4, -4, 3, -2? 1/4 Which is the closest to 0? (a) -31 (b) -2/9 (c) -2 b Which is the nearest to -2/5? (a) -4 (b) 1/10 (c) 19 b Which is the nearest to -1? (a) -2/5 (b) -3 (c) 3/10 (d) -5/3 a Which is the closest to 0? (a) -3/2 (b) -2088 (c) 1/2 c What is the nearest to -0.7 in 2/3, -1/4, -1/5? -1/4 Which is the closest to -2? (a) 15.8 (b) -4/5 (c) 1/4 b What is the nearest to -0.03 in 2/13, -2, -1/4, -1? 2/13 Which is the closest to -2? (a) 3 (b) 0 (c) -5 (d) -2 d What is the closest to 2/7 in -2, -3, -4, 29? -2 What is the nearest to -1 in -6/7, 3/5, 2, -5/4? -6/7 Which is the nearest to 4? (a) -3 (b) 1/5 (c) -5 (d) -0.3 b Which is the closest to -0.1? (a) 0.5 (b) -9 (c) -4 (d) -0.21 d What is the closest to -1 in -0.06, 3, -12? -0.06 Which is the nearest to 6? (a) 54 (b) -5 (c) 2/13 (d) 1/2 d What is the closest to -1 in -0.26, -0.03, 1/3? -0.26 What is the nearest to 0.1 in 0, 2, 12? 0 Which is the nearest to -1/2? (a) -1022 (b) -0.2 (c) -2 b Which is the nearest to -6/11? (a) -5 (b) -2 (c) 1/4 (d) 2/7 c What is the closest to 1/526 in 0, -3, -2/5? 0 Which is the closest to -6/7? (a) 0.3 (b) -2 (c) -1/5 (d) 3 c Which is the nearest to -6? (a) -4 (b) -4.3 (c) 3/2 b Which is the closest to 4? (a) 3 (b) 0.3 (c) -22 a Which is the closest to 1? (a) 31 (b) -2/9 (c) -5 (d) -2 b What is the nearest to 0 in 2.1, -1/2, -5, 0.4? 0.4 What is the closest to -2 in -1/48, 1, 3, -2? -2 Which is the closest to 0.04? (a) 4 (b) 2 (c) -5 (d) -0.06 d Which is the closest to 0.1? (a) 4 (b) -0.8 (c) -3/7 (d) -7 c Which is the closest to -91.8? (a) 0.3 (b) 5 (c) -1 c Which is the closest to -1? (a) 27 (b) -1/6 (c) -1 (d) -1/5 c What is the closest to -0.22 in -2/7, -3/5, 5? -2/7 Which is the closest to -1? (a) -1 (b) 3/4 (c) -1/18 (d) 1 a Which is the closest to -2? (a) -2/13 (b) -2/9 (c) -0.4 (d) -0.2 c What is the nearest to -1 in -0.3, -216, 26? -0.3 Which is the closest to -0.1? (a) 2/17 (b) -2 (c) 4/3 (d) -5 a Which is the closest to -0.1? (a) -4 (b) 5 (c) 1/121 (d) -1/5 d What is the closest to -2 in -1.7, -4, -0.1? -1.7 What is the closest to -0.4 in -4, -5, 4? -4 What is the closest to -4 in 0.5, 1/4, -0.5, -0.2? -0.5 What is the nearest to -2/3 in 2, 5, -102, 0.13? 0.13 What is the closest to -2/7 in 2, -1, -21? -1 What is the nearest to 0.1 in -0.5, 0, 86? 0 Which is the closest to 0.2? (a) 4 (b) -3/20 (c) 0.1 (d) 11 c Which is the nearest to -3? (a) 0.4 (b) -4 (c) 50/7 b Which is the closest to -1? (a) 0.1 (b) 1.4 (c) 4 (d) 0.5 a Which is the closest to 0.1? (a) -3 (b) 5 (c) 2/23 c Which is the nearest to -1/3? (a) 3 (b) 69/7 (c) -29 (d) -3 d Which is the nearest to -2? (a) -2/7 (b) 1 (c) 0 (d) -1 d Which is the closest to 1/4? (a) -5 (b) -1/3 (c) 0 (d) 1 c Which is the closest to -1? (a) 3 (b) 0.4 (c) -4/5 c What is the closest to 1/4 in -1, 0.4, -0.87? 0.4 Which is the nearest to 1? (a) -2 (b) 252 (c) 5 a Which is the nearest to -1/13? (a) 0.3 (b) 5 (c) -6 a Which is the closest to 1? (a) -1/3 (b) -2/5 (c) 2 (d) -4 c What is the close
{ "pile_set_name": "DM Mathematics" }
. What is the highest common divisor of 18 and k? 9 Let x = 27 + -16. Let v(y) = y**3 - 2*y**2 + y - 1. Let n be v(3). What is the greatest common factor of x and n? 11 Let f(m) = 2*m + 9. Let g be f(-6). Let n(c) = -3*c + 3. Let i be n(g). Calculate the greatest common divisor of i and 12. 12 Let v be 6/(-15) + 19232/(-20). Let b be (-4)/20 + v/(-10). Calculate the greatest common divisor of b and 12. 12 Let w(q) = q**3 - 7*q**2 + 4*q - 6. Let u be w(6). Let a = u - -28. Calculate the highest common factor of a and 25. 5 Suppose 2*o - 92 = -b, 2*b = 2*o - 103 + 23. What is the greatest common divisor of 22 and o? 22 Let j(n) = n + 12. Let x be j(0). Suppose -2*g = -3*a - 22, -2 - 2 = 2*a. Calculate the greatest common divisor of g and x. 4 Let u = 14 + -9. Suppose u*o = 6 + 4. Suppose 6 = k - 4. Calculate the highest common factor of k and o. 2 Let v be (-1 + 9 + -2)/((-3)/(-8)). Calculate the greatest common divisor of 16 and v. 16 Suppose 25 = g - 96. What is the highest common factor of g and 11? 11 Suppose 8*g - 21 = 11. Let x be (-7)/(-5) - 2/5. Calculate the highest common divisor of g and x. 1 Suppose -3*r + 150 = 6*s - 2*s, -s = 4*r - 44. Calculate the greatest common factor of 12 and s. 12 Let r(b) = 18*b**2 - 3*b + 1. Let g be r(1). What is the highest common factor of g and 80? 16 Suppose k = -9 - 7. Let l = 36 + k. Calculate the greatest common divisor of l and 30. 10 Suppose q = -0*q. Suppose 0 = -q*f - 3*f. Suppose -g - g + 4 = f. What is the highest common divisor of 16 and g? 2 Let z = 55 - -65. Calculate the greatest common divisor of 24 and z. 24 Suppose 8*k - 1323 = k. Calculate the highest common factor of 21 and k. 21 Let s = 91 + 44. Calculate the highest common divisor of 15 and s. 15 Suppose 2*g + 6 = 0, 2*g + 81 = h + 7*g. Calculate the highest common factor of h and 24. 24 Let u(f) = 13*f. Suppose -a = -4*p + 26, -2*p - a + 2 = 4*a. Let r be u(p). Calculate the highest common factor of 13 and r. 13 Suppose 0 = q - 4*b - 93, 0*q - 2*b = -2*q + 162. Let c = 23 - 16. What is the greatest common divisor of q and c? 7 Suppose -114 = -3*u + 9. Suppose -4*y + 60 = x - 5*x, x = -3*y + u. What is the greatest common factor of 21 and y? 7 Let v(k) = k**2 - 4. Let h be v(-3). Calculate the greatest common factor of h and 45. 5 Let n = -783 + 795. Let o be 1 - (-23 + (-1 - -1)). What is the greatest common divisor of o and n? 12 Let g(v) = v**3 - v**2 + v - 18. Let z be g(0). Let o be 151/9 + (-4)/z. Let m be (-1244)/(-12) - (-20)/(-12). What is the highest common factor of o and m? 17 Let j(d) = d + 14. Let z be j(-12). Suppose 0 = u + z - 10. Let l = u + -5. What is the greatest common divisor of l and 6? 3 Suppose -q = 1 - 8. Let j = q + 3. What is the highest common factor of 15 and j? 5 Let f(l) = l**3 - 8*l**2 + l + 6. Let z be f(8). Suppose 2*g - 15 = -3*g. Let h = z - g. What is the highest common divisor of 55 and h? 11 Let t = -48 - -65. Let c(n) = 9*n**3 - 2*n**2 - 2*n - 1. Let v be c(-1). Let l = 7 - v. What is the highest common divisor of t and l? 17 Let j(f) = 5*f + 4. Let l be j(12). What is the greatest common divisor of l and 8? 8 Suppose -54 = -5*u - 2*t, 0 = 2*u - 6*u + 2*t + 36. Suppose -18 = -3*h - 2*c, 3*h + 5*c - 27 = -0*h. Calculate the greatest common divisor of h and u. 2 Let r(n) = -117*n**3 - n**2 - n - 1. Let k be r(-1). Suppose 2*f - 3*h = k, 308 = 5*f - 2*h - h. Calculate the greatest common factor of 16 and f. 16 Suppose 3*f = -0*f + 252. What is the highest common divisor of f and 28? 28 Suppose -3*h + 1 = -5. Suppose -q = h*v - 319, v + 4*v - 795 = -5*q. Calculate the highest common divisor of 20 and v. 20 Suppose s = 5*l - 8, -4*l + 0*s + 18 = 5*s. Let g be l/(4/176*2). Calculate the highest common divisor of 110 and g. 22 Let n = 23 + -5. Suppose -3*i + n = -2*i. What is the greatest common factor of 6 and i? 6 Let y(q) = -62*q**3 + q. Let c be y(1). Let p be -1*(-1 - -2) + -88. Let g = c - p. What is the highest common factor of 4 and g? 4 Suppose -317 + 110 = -h. Calculate the greatest common divisor of 23 and h. 23 Suppose -17 = -y + 13. Calculate the highest common factor of 120 and y. 30 Suppose -4*g = -2*n - 10, 2*g - 2*n - 6 = -0. Suppose a + 5*d = 19, -4*a + 2 = 5*d - 29. Calculate the greatest common factor of g and a. 2 Let y(w) be the second derivative of -w**3/2 + w**2/2 - 2*w. Let f be y(-2). What is the highest common divisor of 7 and f? 7 Let m be (7 + -37)*(-4)/5. Calculate the highest common divisor of 12 and m. 12 Let w = 376 + -264. What is the highest common divisor of 14 and w? 14 Let j be 20 + -2 + 4/(4/3). Let d = 16 - -47. What is the highest common divisor of j and d? 21 Let b be ((-1)/(-2))/(4/24). Let q = 11 - b. What is the greatest common factor of q and 12? 4 Suppose -2*t + 5 = -t. Suppose 5*w = 2*i + 3, -2*w = -4*i - t*w - 19. Let m = 39 + i. Calculate the highest common factor of 14 and m. 7 Let x(o) = -o**3 - 6*o**2 - 5*o + 7. Let z be x(-5). What is the highest common factor of z and 1? 1 Suppose i + 16 = -3*i, 5*b = -i + 81. Calculate the highest common factor of b and 153. 17 Let h(w) = w - 3. Let u be h(8). Let d = u - -4. What is the highest common divisor of 3 and d? 3 Suppose -3*n + 4 + 32 = 0. Suppose 0 = -4*k - 20, 5*k + 680 = 5*a + k. What is the highest common factor of a and n? 12 Let y(f) = 10*f**3 + f - 1. Let v be y(1). Suppose -6*u + u = -v. What is the greatest common factor of 6 and u? 2 Let h = -22 + 26. Calculate the greatest common divisor of h and 4. 4 Suppose -3*q - 44 = -4*n, -5*n - 5*q = -0*n - 20. Calculate the highest common divisor of n and 16. 8 Let n = -1 + 6. Suppose 3*d = -2*d + 25. Calculate the greatest common factor of d and n. 5 Let y = 3 + 13. Let k(c) = 14*c - 2. Let r be k(3). What is the highest common divisor of r and y? 8 Suppose u + 2 + 0 = 0. Let c be -3 + (1 - 10/u). Let a(t) = 28*t**2 - 2*t + 1. Let s be a(1). What is the greatest common divisor of s and c? 3 Suppose 6 = p + 2. What is the highest common factor of p and 8? 4 Suppose -4*w = -4*s - s - 134, w - 46 = -5*s. Calculate the greatest common divisor of 90 and w. 18 Suppose 5*l - 11 - 44 = -5*o, 5*l = 5*o - 65. What is the highest common factor of 132 and o? 12 Let g = -2 - -6. Suppose -q + g*o = -10, 122 = 5*q + 4*o - 0*o. What is the highest common factor of q and 55? 11 Let h = -88 - -148. Calculate the highest common divisor of 30 and h. 30 Let z = 449 + -395. Let b(v) = v**2 + v - 2. Let w be b(4). What is the greatest common factor of z and w? 18 Let p = -27 + 96. Calculate the highest common factor of p and 23. 23 Suppose 0 = 7*p - 9*p + 2. What is the highest common divisor of 5 and p? 1 Let v = 1 + 69. What is the highest common divisor of 10 and v? 10 Let h(b) = 54*b + 3. Suppose 3*u - 15 = 2*r - 0*r, 0 = -4*u + r + 15. Let t be h(u). What is the greatest common divisor of t and 15? 15 Let g = -213 - -375. What is the greatest common divisor of g and 108? 54 Let o be 96/2 - (-3 + 0). What is the highest common divisor of 17 and o? 17 Suppose -8*o - 25 = -3*o + 2*d, -4*o = -5*d + 53. Let s = 13 + o. Let g(z) = -z**2 - 5*z + 23. Let u be g(-7). Calculate the highest common factor of s and u. 3 Let d be (-14)/((-155)/(-40) - 4). Let i = -10 + 24. What is the greatest common factor of d and i? 14 Let r = -40 - -148. Let g be 10 + ((-4)/(-18) - (-80)/45). Calculate the highest common factor of g and r. 12 Suppose 0 = 3*b - b - 12. Calculate the greatest common factor of b and 4. 2 Let c = -17 - -46. Calculate the greatest common divisor of 87 and c. 29 Let r(k) = -4*k + 8. Let a be r(-7). Let o = 4 + -8. Let p be ((-270)/o)/(6/8). What is the highest common divisor of p and a? 18 Suppose 3*h - 3 = 30. Suppose -x - 2 = -h. What is the highest common factor of x and 99? 9 Suppose -i + 28 = i. Calculate the highest common divisor of 126 and i. 14 Let c = 4 - 4. Suppose -3*q + 6*q = c. Suppose -10 = -5*g - q*g. Calculate the highest common divisor of 1 and g. 1 Let t = -2 - -32. Calculate the highest common divisor of t and 270. 30 Suppose -6*u + 858 - 330 = 0. Calculate the highest common factor of u and 11. 11 Let j = -69 - -97. Let c = -17 + j. What is the highest common divisor of 1 and c? 1 Suppose 0 - 5 = -3*p + g, 0 = 4*p - 4*g - 20. Let m(i) =
{ "pile_set_name": "DM Mathematics" }
2 Let s = 20 + -14. What is the highest common divisor of 42 and s? 6 Let j(z) = -36*z. Let f be j(-3). Calculate the greatest common factor of 12 and f. 12 Let r(x) = -18*x - 1. Let i be r(1). Let o = 80 - i. What is the highest common divisor of o and 9? 9 Suppose 2*i - 68 = -4*o + i, 3*i + 48 = 2*o. What is the highest common divisor of o and 18? 18 Suppose -215 = -2*y + 91. Suppose 0 = -5*s - 28 + y. Calculate the greatest common factor of 200 and s. 25 Suppose 4*z - 25 = 2*z + q, z - 3*q = 20. Let p be 15/12 - (-2)/(-8). Calculate the greatest common divisor of z and p. 1 Let p(j) = -4*j**2 - 51*j - 16. Let q be p(-12). Let n be (90/(-8))/((-3)/8). Calculate the highest common factor of q and n. 10 Suppose 4*y - 477 = 5*j - 2*j, -3*y - j + 374 = 0. Suppose -2*p - 33 = -y. Calculate the highest common divisor of p and 5. 5 Let r = 39 - 25. Calculate the greatest common divisor of r and 56. 14 Suppose -2*o = -12 + 2. Suppose -3*g - o*b = -75, 114 = -4*g + 8*g + 2*b. What is the highest common factor of 20 and g? 10 Suppose 3*v + 13 = 4, -5*s = 2*v - 94. Let x = 21 - s. What is the greatest common divisor of x and 1? 1 Suppose -4*n + 51 - 15 = 0. Suppose 2*c + 2*u - 8 = 0, -4*c = -9*c + u + 50. Calculate the greatest common divisor of n and c. 9 Suppose 90 - 30 = 3*w. What is the greatest common divisor of 8 and w? 4 Suppose 0 = -b - 11 + 39. Let y be (-4)/(-8) - 9/2. Let f be ((-14)/y)/(6/12). Calculate the greatest common divisor of f and b. 7 Suppose -8*p = -11 - 157. Calculate the highest common divisor of 3 and p. 3 Suppose 0 = -3*u + 4*o + 168, 5*u - o = o + 280. Calculate the highest common factor of 14 and u. 14 Suppose -4*n + 4 = -24. What is the greatest common divisor of n and 21? 7 Let r(c) = c**3 + 9*c**2 + 5*c + 6. Let m be r(-8). What is the highest common factor of m and 40? 10 Let w be (386*-1)/(-2) + 3. Let f = -106 + w. What is the highest common factor of f and 36? 18 Suppose -4*l + 9 = -c, 3*c + 3*l + 2*l - 24 = 0. Let u(f) = 2*f + 4. Let v be u(c). Calculate the greatest common factor of v and 20. 10 Suppose 3*n - 6 = 5*j - 22, n + 10 = 4*j. Let y = 9 + 5. Calculate the highest common factor of j and y. 2 Suppose -5*z + 95 = 5*p, -4*z - 75 = -3*p - z. What is the highest common factor of p and 286? 22 Let w(y) = 3*y**2 + 2 + 5*y - y + 4*y**2. Let j be w(-2). What is the highest common divisor of 33 and j? 11 Let x(v) = -17*v**3 + 1. Let a be x(-1). Calculate the highest common factor of a and 2. 2 Suppose -60 = -3*c - c. Let n be -1 + -1 - (-15)/3. What is the highest common divisor of c and n? 3 Suppose 4*g = -g - 4*p + 230, 0 = -g - 3*p + 57. Let x be ((-5)/((-15)/(-18)))/((-10)/175). What is the highest common factor of g and x? 21 Suppose p - 6 = 1. Let s be 6/(-21) + 177/p. What is the greatest common divisor of s and 5? 5 Suppose -3*q - 5*n + 124 = 0, -2*n = q - 5*n - 32. Let t = q - 13. Calculate the greatest common factor of 125 and t. 25 Let p = 97 - 57. Calculate the greatest common divisor of p and 8. 8 Suppose -3*t + 1323 = i + i, 2*i = 2*t + 1328. Suppose -4*p + 524 = 4*j, -5*j - 4*p + i = -p. What is the highest common factor of 54 and j? 27 Suppose -4*m = 5*n - 42, m - 5*n - 14 = -2*m. Suppose 0 = 7*g - 204 + 36. Calculate the highest common divisor of g and m. 8 Let k(x) = 2*x**2 + 60. Let c be k(0). Calculate the greatest common divisor of 12 and c. 12 Let i be 540/8 + 3/(-2). What is the highest common divisor of i and 44? 22 Suppose -28 - 4 = 2*f. Let h = -10 - f. Let y be (-3)/(-2*h/440). What is the highest common factor of 10 and y? 10 Suppose 4*x - 6*x + 64 = 0. Suppose 0 = -w - 3*w + x. Calculate the greatest common factor of w and 8. 8 Let w = -54 - -162. Calculate the greatest common divisor of w and 9. 9 Suppose w - 64 - 35 = 0. What is the highest common factor of w and 11? 11 Let h(s) = -s**2 + 7*s + 3. Let i be h(7). Suppose -3*d + 20 = 2*d. Suppose 5*l - i*c = 529, -c + 1 = d. Calculate the greatest common divisor of l and 13. 13 Suppose -f + o - 2 = 0, 0*o + 5*o = 20. Let w(g) = -6*g + f*g - 8 + 2*g. Let v be w(-10). Calculate the greatest common factor of v and 30. 6 Let r be (-105)/(-6) - (-1)/2. Suppose -4*u + r = -u. What is the greatest common divisor of 42 and u? 6 Let x be (-6)/(-8) + 285/(-12). Let t = x + 33. Calculate the greatest common divisor of t and 10. 10 Let w(n) = -n**3 - 3*n**2 - 2*n + 2. Let m be w(-2). Suppose 4*o + 0*r + m*r = 100, -5*r = o - 34. What is the greatest common factor of o and 168? 24 Let j be (1 - -3) + 17 + 2. Calculate the highest common factor of 23 and j. 23 Let o = -53 - -105. What is the greatest common factor of 39 and o? 13 Let p = -95 - -106. Suppose -22 = 5*r - 462. What is the greatest common factor of p and r? 11 Let a(p) = -p**2 + 7*p + 7. Let b(y) = 7*y**2 - y - 1. Let m be b(-1). Let o be a(m). Calculate the greatest common factor of 1 and o. 1 Let y = -75 + 120. Let s = 8 - 3. Calculate the highest common divisor of s and y. 5 Let b be ((-27)/2)/((-1)/2). Let w = -64 + 73. Calculate the greatest common factor of b and w. 9 Suppose -3*c + 55 = -5*g - 0*g, 3*g + 21 = c. Suppose 0 = a - 6 - 1. Let x = c - a. What is the greatest common factor of x and 24? 8 Let v be 2/7 + (-138)/(-7). Let u = 29 - v. Calculate the greatest common divisor of 36 and u. 9 Suppose 2*g = 0, -2*g + 16 = b + g. Suppose 4*o - b = -3*k, 0 - 3 = -3*o. Suppose 60 = k*t - t. What is the highest common divisor of t and 30? 10 Let h(b) = 17*b + 6. Let w be h(5). Let i(l) = l**2 - 8*l + 9. Let s be i(7). Let u be s + (-11)/(-1) - 0. Calculate the greatest common factor of u and w. 13 Let g = 6 - 6. Let o be (0 + -1)*-1*g. Suppose o = q + 3*q - 32. Calculate the highest common factor of 56 and q. 8 Let k = 7 + 0. What is the greatest common factor of 21 and k? 7 Suppose 3*t - t + 4*r = 56, -r + 50 = 2*t. Suppose -141 = -3*x - 33. What is the greatest common divisor of x and t? 12 Let h = 2 - -1. Suppose h = x - u - u, x = -2*u + 3. Let z(n) = n**2 - n + 4. Let i be z(5). What is the greatest common divisor of i and x? 3 Suppose 3*z = -212 - 100. Let n = z + 203. What is the greatest common divisor of 9 and n? 9 Suppose -6*z + 8 = b - 2*z, -5*z = -3*b + 41. Calculate the highest common divisor of 60 and b. 12 Let c = -17 - -30. Suppose 2*t + 54 = -t. Let p be (-464)/t + (-14)/(-63). Calculate the greatest common factor of p and c. 13 Suppose -w - 2*c + 3*c + 37 = 0, 2*c = -3*w + 91. Calculate the highest common factor of w and 11. 11 Suppose -13*h + 121 + 113 = 0. What is the highest common divisor of 72 and h? 18 Let p be 2/10 + (-51)/5. Let v = p - -14. Suppose -v = -2*s - 0. Calculate the greatest common factor of s and 3. 1 Let l(h) = -7*h - 5. Let p be l(-4). Calculate the highest common factor of 69 and p. 23 Let v be (-6)/(-9) + (-28)/(-3). Let p be (180/4)/(2/4). What is the greatest common divisor of p and v? 10 Suppose 0 = i + 1 - 5. Suppose 6*c = 2*c - 5*g + 188, -i*c = -5*g - 148. What is the highest common factor of 7 and c? 7 Let w be 1/(-1*1/2). Let n = 63 - w. Calculate the greatest common divisor of 26 and n. 13 Let z = 19 - 11. Suppose 60 = 11*o - 28. Calculate the highest common factor of z and o. 8 Suppose 4*q - 64 = -3*t + 116, -240 = -4*t - 3*q. Suppose 6*s - 149 = 91. What is the highest common factor of s and t? 20 Suppose -5*w + 2*m = -18, 5*w - 4 - 2 = -m. Suppose -w*g + 7*g - 45 = 0. Let v = g - -51. What is the highest common factor of v and 12? 12 Suppose 3*n - 7*n = -96. Let c be n/42*(-7)/(-2). What is the greatest common factor of c and 2? 2 Suppose 44 = -3*r + 254. Let y = -108 - -77. Let j = y - -59. What is the highest common divisor of j and r? 14 Let j be 412/8 - 2/(-4). Suppose -h = k - 12, -h + j - 20 = -4*k. What is the greatest common divisor of 32 and h? 16 Let m be 12 - (-1 - (1 - 3)). What is the highest common factor of 22 and m? 11 Suppose y + 0*y + 256 = 5*b, -60 = -b - 2*y. Calculate the highest common factor of b and 78. 26 Let a = 2 - -1. Suppose -3*u = 2*u + a*o - 25, -o + 11 = 2*u. Calculate the highest common factor of u and 72. 8 Let b = -27 + 31. What is the greatest common factor of b and 44? 4 Suppose 0 = u + 2, -4*g + 2*u + 76 = -g. Calculate the highest common divisor of g and 40. 8 Let n be 4/18 - 122/(-18).
{ "pile_set_name": "DM Mathematics" }
(a) + 2*m(a). Determine i(7). -1 Let p = -17 - -8. Let i(w) = w - 6. Let f(b) = 4*b - 23. Let q(r) = p*i(r) + 2*f(r). What is q(6)? 2 Let p(g) = 3*g**2 + 2*g - 7. Let t be p(0). Let f(k) = k**3 + 6*k**2 - 9*k. Determine f(t). 14 Let d = 4 + -9. Let y(r) = -r**2 - r - 1. Let j(t) = 4*t**2. Let n(i) = d*y(i) - j(i). Let h(c) = c**2 - 27*c - 4. Let w be h(27). What is n(w)? 1 Let a(v) be the third derivative of 0 + 0*v + 0*v**4 + 6*v**2 + 1/60*v**5 - 1/6*v**3. Let n(l) = -6*l**2 - 4*l + 8. Let p(c) = 4*a(c) + n(c). Determine p(-4). -12 Let j(t) = -t**2 - 3*t + 7. Let r = -6 + 28. Suppose 3*c + 11 = -2*b, 3 - r = 3*c - 2*b. Give j(c). -3 Let n(l) = l**2 + l. Let h(i) = 3*i. Let k be h(1). Suppose j = k*d - 14, 2*d = 4*j - d + 11. Suppose 3*s - 2*s = -j. Calculate n(s). 0 Let l(c) = -287*c + 1 - 3 + 288*c. Let v(a) = a - 2. Let b(m) = 4*l(m) - 3*v(m). Calculate b(-2). -4 Suppose 1 = -7*p + 29. Let i(u) = -u**3 + 16 + 2*u - 17 + p*u**2 + 0*u**3. Calculate i(4). 7 Let u(a) = -2*a + 6. Let w(b) = 2*b - 5. Let v(r) = -r + 5. Let y(p) = -3*v(p) - 2*w(p). Let t be (-2)/(16/(-9) + 2). Let z be y(t). What is u(z)? -2 Let l(o) be the first derivative of -2*o**3/3 + 5*o + 15. Let m be l(-2). Let j(z) = 2*z + 1. What is j(m)? -5 Suppose 5 = w + 9*y - 8*y, 2*w - 3*y = 0. Let l(c) = -c**2 + 11*c - 12. Calculate l(w). 12 Let y(i) = -3*i**3 + 8*i**2 + i + 10. Let g(w) = 2*w**3 - 3*w**2 - 1. Let b(l) = 2*g(l) + y(l). Determine b(0). 8 Let g(j) be the first derivative of -j**3/3 - 5*j**2 + 15*j - 126. What is g(-12)? -9 Let b(z) = z**3 + 13*z**2 + z + 21. Let o be b(-13). Let c(n) = -n + 3. Give c(o). -5 Let s(a) = -1 - 8*a**2 - 6*a + 7 + 9*a**2. Let k be (36/14)/(1/7). Suppose 2*b = -b + k. Give s(b). 6 Suppose -26*s + 5*s - 28*s = 147. Suppose -10 = -5*h - 3*z, -5*z = -5*h + h + 8. Let u(l) = -7*l**h + 5 + 2*l**2 - l**3 - 1 - 2*l. Give u(s). -8 Let y(w) be the first derivative of w**5/120 + 5*w**4/6 + 16*w**3/3 - 4. Let v(p) be the third derivative of y(p). What is v(0)? 20 Let v(n) = -5*n**2 - 322*n**3 + 321*n**3 - 3*n + 0*n**2. Let g be -8 + (-2)/2*2. Let b(f) = -f**2 - 11*f - 14. Let m be b(g). Determine v(m). -4 Let u(r) be the second derivative of -r - 3/2*r**2 - 1/6*r**3 - 1/24*r**4 + 0. Let t(x) be the first derivative of u(x). What is t(4)? -5 Let b(x) = 4*x + 4. Let t = 48 + -44. Suppose -3*u - 4 = t*a + a, 2*u + 7 = a. Calculate b(u). -8 Let v(j) = -590 + 1182 + 3*j - 584. What is v(-5)? -7 Suppose 16*p - 6*p = -30. Let r(n) = -5*n - 2. What is r(p)? 13 Let d(a) = 37 - a + 43 - 76. Give d(7). -3 Let y(o) = -o - 3. Suppose 0 = 2*c - 4*c. Suppose -2*s + s = c. Calculate y(s). -3 Let n(h) = h**2 + h. Let y be n(-2). Suppose -5*g = -g - 16. Let p(a) = -3*a - a + 0 + 6*a - g*a**2 + 2. Determine p(y). -10 Let a = -389 - -394. Let c(h) = h**3 - 6*h**2 - 3*h + 5. Determine c(a). -35 Let g(a) = a**3 + 4*a**2 + 3. Let n(l) = 2*l - 14. Let d(q) = -q. Let c(f) = -5*d(f) - n(f). Let w be (-6)/5*(4 - -1). Let m be c(w). Determine g(m). 3 Let p(s) be the first derivative of -s**6/360 - s**5/60 + s**4/12 + 2*s**3/3 - 26. Let o(j) be the third derivative of p(j). Calculate o(-3). -1 Let c(j) = -11*j**3 + 10*j**2 - 7*j + 13. Let t(q) = 4*q**3 - 3*q**2 + 2*q - 4. Let l(b) = -3*c(b) - 8*t(b). Give l(5). -7 Let c(l) = -l**3 - 4*l**2 - 5*l - 9. Suppose 0 = -81*g - 53*g - 402. What is c(g)? -3 Let v(i) = -1 - 3 - 3 + 7*i - i**2. Suppose -5*j = -2*j + 300. Let y be j/(-15)*3/4. Give v(y). 3 Suppose -2*n + 4 = 2*i, -4*n - 3*i - 16 = -5*i. Let x be n/(-7) + (-37)/7. Let j(g) = 3 - 2*g**2 - 1 + 0 - 7*g. Calculate j(x). -13 Let b(m) = -m**3 + m**2 - m + 2. Let i be b(1). Let z(a) = 3 + 9*a - 12*a - i + 5. Calculate z(-7). 28 Let f(x) = 2*x**2 - x**2 - 4*x**2 - 2*x**3 + 2. Suppose -3*z - d - 76 = 0, d + 124 = -5*z - 0*d. Let j be (z/(-18))/((-6)/9). Determine f(j). 6 Let j(p) = 2*p. Suppose 5*t - 94 = -34. Let r be t*(-5)/(-45)*-3. Calculate j(r). -8 Let h(x) be the second derivative of x**3/2 - x**2 - 31*x. Determine h(3). 7 Let r(k) be the third derivative of 43*k**2 + 0*k + 0 - 5/6*k**3 + 1/12*k**4. Calculate r(6). 7 Let v be 2/((-8)/6)*128/(-48). Let h(r) = -2*r**2 - 2*r + 2. What is h(v)? -38 Let u be (10/(-6))/1*3. Let n be (40/50)/((-2)/u). Let r(p) = -3*p + 4*p - n - 2*p. What is r(-7)? 5 Let y(c) = -4*c + 46. Let q(m) = -3*m + 33. Let p(b) = -3*q(b) + 2*y(b). Determine p(5). -2 Let j(r) = -r**3 - 5*r - 3 + 0*r**3 + 4*r**2 + 3*r**2. Let b = 15 + -3. Suppose -5*y + 3*y = -b. What is j(y)? 3 Let o(w) = -40*w + 10*w - 10 + 10*w + 21*w. Give o(-10). -20 Let a(b) = -b**2 - b + 6. Let y be a(0). Let j(u) be the third derivative of -u**6/120 + 7*u**5/60 - 5*u**4/24 - 7*u**3/6 - 19*u**2. Calculate j(y). -1 Let o(j) be the first derivative of -j**3/3 + 7*j**2/2 - 3*j - 77. Let g be (-2)/8 + (-57)/(-4). Suppose y + g = 5*c - 2*c, c = 4*y + 1. Calculate o(c). 7 Let i(u) be the first derivative of 2/3*u**3 + 0*u + 1/360*u**6 + 0*u**2 + 3 + 5/24*u**4 - 1/15*u**5. Let y(f) be the third derivative of i(f). Determine y(7). -2 Suppose 18 = -5*b - 2*j, -j - 13 = 5*b + 1. Let q be (18/30)/(b/10). Let c(t) = t**3 + 3*t**2 - t + 3. Calculate c(q). 6 Let f(l) = 7*l**2 - 2*l - 4. Let c(r) = -2 - 15*r**2 - r + 0*r + 19*r**2. Let b(p) = -5*c(p) + 3*f(p). Suppose 0 = n - d + 1, -3*n - d = 2*d - 15. Give b(n). 0 Let h(r) = 2*r - 1. Suppose g = -c - 7 + 1, -4*c - 6 = -5*g. Let t be h(g). Let b(u) = -u**3 - 4*u**2 + 3*u - 5. What is b(t)? 5 Let r(v) = -2*v + 3*v**3 - 4*v**2 - 3*v**2 + 2 + 2*v**3 + v - 6*v**3. Let a be 1 + (-5)/(15/24). What is r(a)? 9 Let y(w) = 20 - 8 - 9 + 3*w - 7. What is y(5)? 11 Suppose 2*z + 2*q - 65 = -75, -9 = -3*q. Let x(n) = -n**3 - 7*n**2 + 6*n + 5. Determine x(z). 21 Let y(v) be the third derivative of v**6/120 + v**5/20 - v**4/6 + 81*v**2 + 4*v - 1. Suppose -d - 8 = d. What is y(d)? 0 Let l(s) be the second derivative of 5*s**3/3 - 15*s**2 + 6*s - 2. Determine l(3). 0 Suppose 5*p = -m + 15, -3*p + 15 = m + 4. Let x(j) = j**p - 6*j - 2 + 11*j - 8*j. Determine x(5). 8 Let a(z) = -z + 3. Let o(u) = u - 4. Let g(m) = -4*a(m) - 3*o(m). Let l be (55/(-10) - -3)*-2. What is g(l)? 5 Let d(f) = f**2 + 2 - 5*f - 8 - f + 12. Suppose 4*h - 3*n - n = 8, -5*h + n + 18 = 0. What is d(h)? -2 Suppose -101 = 75*b - 26. Let l = 0 - -2. Let w(m) = -m**3 + 2*m**3 + l*m**2 + 2*m**3 + m. Determine w(b). -2 Let y(x) = -3*x**2 - 4. Let n = -1031 - -1028. Give y(n). -31 Let a(w) = 2*w**2 + 2*w - 7*w**2 + 0 - w**3 - 3. Let y be (1/2)/((-1)/12). Determine a(y). 21 Let k(a) = -4*a**2 + 597*a**3 - 596*a**3 + 9 + 3*a**2. Let d = 2 + 0. Let l = -2 + d. Give k(l). 9 Let m(r) = -2*r - 9. Let d(i) = i**3 + 2. Let c = 12 - 14. Let v be d(c). Calculate m(v). 3 Suppose -162 = 8*p - 106. Suppose -o = -0*o - 6. Let u(j) = -2*j - o + 13 + 4*j. Determine u(p). -7 Suppose 9 = -105*l + 96*l. Let h(i) = 37*i**3 + i**2 - i - 1. Determine h(l). -36 Let g(i) = 4*i - i**3 - 5*i**2 + 9*i**2 - 119 + 124 - 11*i**2. Determine g(-7). -23 Let c(t) be the third derivative of -t**6/120 - t**5/12 + 7*t**4/24 + t**3/6 - 83*t**2. Calculate c(-6). -5 Let s(v) = v + 6. Let d(l) = -1. Let a(i) = -4*d(i) - 3*s(i). What is a(-8)? 10 Let i(k) = -3*k + 5*k**2 + k**2 + 2*k + 3*k - 5*k**2. Determine i(1). 3 Let f(x) = -x**2 - 4*x. Let p be -1 + 6 + -2 + 0. Suppose 6*i - p*i = 9. Suppose 0 = -d - 2*z, -1 = 2*z - i. Determine f(d). 4 Suppose 7 - 1 = -w. Let l(i) = 6*i - 4. Let f(g) = -2*g + 1. Let q(z) = -8*f(z) - 3*l(z). Give q(w). 16 Let h(t) be the second derivative of -9/2*t**2 + t + 1/3*t**3 + 0 - 2/3*t**4 + 1/20*t**5. Determine h(8). 7 Let v be 1*-2*(-5)/(-2). Let q(u) = -4*u**3 - 34*u**2 + 24*u - 60. Let y(r) = r**3 + 8*r**2 - 6*r + 14. Let j(w) = -2*q(w) - 9*y(w). Determine j(v). -11 Let h(x) = x**3 - 5*x**2 + x + 8. Let l be h(4). Let v(q) = -q - 2. Give v(l). 2 Let p(f) be the second derivative of f**4/6 - 5*f**3/2 - f**2 - 146*f + 1. Give p(8). 6 Let x(r) = -r**3 - r**2 + 2*r + 1. Suppose 3*p + 38 = 32. Determine x(p). 1 Let r(p) = 1 + 16*p**2 - 30*p**2 + 13*p**2. Suppose 11*l + f - 15 = 6*l, 6 = -l - 2*f. Give r(l). -15 Let n(z) = 3*z**2 + 35*z - 11. Let r be n(-12). Let q(g) = 20*g**2 + g - 1. Give q(r). 20 Suppose 5*f - 3 = 12, -4*z + 3*f = 5. Let u be (3 + -2)*8/2. Let j be z/((-4)/u) + -4. Let g(q) = q**2 + 5*q - 5. Deter
{ "pile_set_name": "DM Mathematics" }
3, 371101, 371109, 371117, 371125? 8*u + 371077 What is the z'th term of -35267, -70516, -105743, -140936, -176083? 2*z**3 - z**2 - 35260*z - 8 What is the c'th term of -1190699, -4762668, -10715951, -19050548? -1190657*c**2 + 2*c - 44 What is the s'th term of 37357, 74708, 112063, 149422, 186785, 224152, 261523? 2*s**2 + 37345*s + 10 What is the f'th term of -25722219, -51444425, -77166633, -102888843? -f**2 - 25722203*f - 15 What is the b'th term of 28442734, 28442719, 28442702, 28442689, 28442686, 28442699, 28442734? b**3 - 7*b**2 - b + 28442741 What is the f'th term of -68086, -71071, -74056, -77041, -80026? -2985*f - 65101 What is the q'th term of 223659, 223843, 224029, 224217? q**2 + 181*q + 223477 What is the n'th term of 23925, 47033, 70141? 23108*n + 817 What is the z'th term of 1355, 1241, 1033, 683, 143? -8*z**3 + z**2 - 61*z + 1423 What is the z'th term of 4881449, 4881461, 4881475, 4881491? z**2 + 9*z + 4881439 What is the n'th term of -20438, -40911, -61418, -81959, -102534, -123143? -17*n**2 - 20422*n + 1 What is the d'th term of 3618, 2776, 1372, -594, -3122, -6212, -9864? -281*d**2 + d + 3898 What is the k'th term of 7851, 9852, 11855, 13860, 15867, 17876? k**2 + 1998*k + 5852 What is the v'th term of -3503263, -3503264, -3503265, -3503266, -3503267? -v - 3503262 What is the u'th term of 603, 2062, 4351, 7452, 11347, 16018, 21447, 27616? -3*u**3 + 433*u**2 + 181*u - 8 What is the r'th term of 243, 2003, 6911, 16581, 32627, 56663, 90303, 135161? 269*r**3 - 40*r**2 - 3*r + 17 What is the f'th term of -36531, -146117, -328747, -584409, -913091, -1314781? 2*f**3 - 36534*f**2 + 2*f - 1 What is the o'th term of -8905723, -17811401, -26717093, -35622805, -44528543, -53434313? -o**3 - o**2 - 8905668*o - 53 What is the h'th term of 14045, 28669, 43931, 59831? 319*h**2 + 13667*h + 59 What is the z'th term of 228, -78, -590, -1308? -103*z**2 + 3*z + 328 What is the g'th term of 391103, 782139, 1173179, 1564223, 1955271, 2346323, 2737379? 2*g**2 + 391030*g + 71 What is the b'th term of -1915, -7942, -18083, -32338, -50707? -2057*b**2 + 144*b - 2 What is the v'th term of 114572, 229101, 343568, 457943, 572196, 686297, 800216, 913923? -5*v**3 - v**2 + 114567*v + 11 What is the h'th term of -1596736, -1596802, -1596868? -66*h - 1596670 What is the r'th term of -7380429, -14760851, -22141273, -29521695, -36902117? -7380422*r - 7 What is the a'th term of -948217, -3792790, -8533719, -15171004, -23704645, -34134642? -948178*a**2 - 39*a What is the b'th term of -11650, -17440, -23218, -28978, -34714, -40420, -46090? b**3 - 5797*b - 5854 What is the z'th term of -104508, -208745, -312982, -417219, -521456? -104237*z - 271 What is the p'th term of -62873, -68622, -74371, -80120? -5749*p - 57124 What is the t'th term of 854789, 854806, 854823, 854840, 854857? 17*t + 854772 What is the x'th term of -1917268, -3834777, -5752288, -7669801, -9587316, -11504833, -13422352? -x**2 - 1917506*x + 239 What is the u'th term of 67621, 67609, 67599, 67591? u**2 - 15*u + 67635 What is the r'th term of 1432, 7444, 18038, 33214? 2291*r**2 - 861*r + 2 What is the r'th term of -321144, -642287, -963430, -1284573? -321143*r - 1 What is the c'th term of -109952429, -109952424, -109952415, -109952402, -109952385, -109952364, -109952339? 2*c**2 - c - 109952430 What is the k'th term of -1378480, -2756803, -4135126, -5513449? -1378323*k - 157 What is the z'th term of 716, 2693, 6058, 10865, 17168, 25021, 34478? 9*z**3 + 640*z**2 - 6*z + 73 What is the j'th term of -11603, -22496, -33055, -43112, -52499, -61048, -68591, -74960? 28*j**3 - j**2 - 11086*j - 544 What is the y'th term of 408, -1190, -3788, -7344, -11816, -17162, -23340, -30308? 7*y**3 - 542*y**2 - 21*y + 964 What is the n'th term of -1142, -7999, -25646, -59171, -113662, -194207? -848*n**3 - 307*n**2 + 13 What is the f'th term of 5756, 22121, 49366, 87467, 136400, 196141? -4*f**3 + 5464*f**2 + f + 295 What is the d'th term of -61147, -122247, -183301, -244309, -305271, -366187, -427057? 23*d**2 - 61169*d - 1 What is the o'th term of 74617, 149229, 223847, 298483, 373149, 447857, 522619, 597447? 2*o**3 - 9*o**2 + 74625*o - 1 What is the d'th term of -1500, -2791, -4082? -1291*d - 209 What is the t'th term of -11004, -21854, -32700, -43542, -54380? 2*t**2 - 10856*t - 150 What is the n'th term of -935287, -935298, -935317, -935344, -935379, -935422, -935473? -4*n**2 + n - 935284 What is the r'th term of 276950, 554300, 831652, 1109006, 1386362, 1663720? r**2 + 277347*r - 398 What is the k'th term of 214, 1452, 4622, 10630, 20382, 34784, 54742, 81162? 151*k**3 + 60*k**2 + k + 2 What is the a'th term of 268, 1734, 4208, 7696, 12204, 17738, 24304, 31908? a**3 + 498*a**2 - 35*a - 196 What is the s'th term of -486740, -973476, -1460196, -1946894, -2433564, -2920200? s**3 + 2*s**2 - 486749*s + 6 What is the x'th term of 60493, 121116, 181729, 242332, 302925, 363508, 424081? -5*x**2 + 60638*x - 140 What is the x'th term of 101175542, 101175548, 101175554? 6*x + 101175536 What is the x'th term of -32516, -62409, -92302, -122195, -152088? -29893*x - 2623 What is the v'th term of 413546, 413641, 413736? 95*v + 413451 What is the b'th term of -1625, -954, -279, 400, 1083, 1770, 2461? 2*b**2 + 665*b - 2292 What is the m'th term of -55021562, -55021561, -55021560? m - 55021563 What is the n'th term of -284942, -569892, -854842, -1139792? -284950*n + 8 What is the s'th term of -3152707, -6305391, -9458079, -12610771, -15763467, -18916167, -22068871? -2*s**2 - 3152678*s - 27 What is the c'th term of -410, -815, -1480, -2405, -3590? -130*c**2 - 15*c - 265 What is the k'th term of 32464, 33166, 33868, 34570, 35272? 702*k + 31762 What is the r'th term of 1362405, 2724896, 4087385, 5449872, 6812357, 8174840? -r**2 + 1362494*r - 88 What is the k'th term of -4098, -16003, -35712, -63225, -98542? -3902*k**2 - 199*k + 3 What is the u'th term of 661521, 661215, 660909, 660603, 660297, 659991? -306*u + 661827 What is the t'th term of 30120, 119633, 268800, 477621? 29827*t**2 + 32*t + 261 What is the s'th term of -1044, -2127, -3234, -4365? -12*s**2 - 1047*s + 15 What is the p'th term of 5877667, 5877665, 5877663, 5877661, 5877659, 5877657? -2*p + 5877669 What is the i'th term of 451295, 451178, 451061, 450944, 450827, 450710? -117*i + 451412 What is the u'th term of -808, -5083, -16284, -37867, -73288, -126003, -199468, -297139? -576*u**3 - 7*u**2 - 222*u - 3 What is the d'th term of -128260, -256496, -384700, -512866, -640988, -769060? d**3 + 10*d**2 - 128273*d + 2 What is the z'th term of -3843, 6630, 24079, 48498, 79881? -z**3 + 3494*z**2 - 2*z - 7334 What is the a'th term of 12355, 11478, 10601? -877*a + 13232 What is the y'th term of 3204, 6666, 10136, 13620, 17124? y**3 - 2*y**2 + 3461*y - 256 What is the c'th term of 353802286, 707604570, 1061406854, 1415209138, 1769011422? 353802284*c + 2 What is the y'th term of -1583445, -3166888, -4750331, -6333774? -1583443*y - 2 What is the x'th term of 50884, 50886, 50922, 51004, 51144, 51354? 2*x**3 + 5*x**2 - 27*x + 50904 What is the m'th term of -402954, -805908, -1208880, -1611876, -2014902, -2417964, -2821068? -m**3 - 3*m**2 - 402938*m - 12 What is the h'th term of 11657, 16663, 21669, 26675, 31681, 36687? 5006*h + 6651 What is the z'th term of -606, -4849, -16392, -38895, -76018? -610*z**3 + 10*z**2 - 3*z - 3 What is the q'th term of -4457, -9100, -13751, -18410, -23077, -27752, -32435? -4*q**2 - 4631*q + 178 What is the l'th term of 294287, 588449, 882611, 1176773, 1470935, 1765097? 294162*l + 125 What is the g'th term of -319441, -319420, -319383, -319324, -319237, -319116, -318955, -318748? g**3 + 2*g**2 + 8*g - 319452 What is the o'th term of -1861, -3858, -5891, -7960, -10065? -18*o**2 - 1943*o + 100 What is the s'th term of 605979, 606036, 606127, 606252, 606411, 606604? 17*s**2 + 6*s + 605956 What is the z'th term of 10536, 10312, 9940, 9420, 8752, 7936? -74*z**2 - 2*z + 10612 What is the c'th term of 16056, 31840, 47624, 63408, 79192, 94976? 15784*c + 272 What is the i'th term of 106307, 106711, 107115, 107519, 107923, 108327? 404*i + 105903 What is the a'th term of 6733, 15456, 24179? 8723*a - 1990 What is the g'th term of 36559, 36549, 36547, 36553, 36567, 36589? 4*g**2
{ "pile_set_name": "DM Mathematics" }
b - 2*r + 5. Let v(o) = 5 - 3*o - 4*o + 3*o + 3*o. Give v(b). 1 Let b(w) = 13*w + 0*w + 3 - 2*w. Let j(k) = -4*k - 1. Let z(c) = -3*b(c) - 8*j(c). Determine z(-3). 2 Let g(m) = -2*m**2 - 48*m + 94*m + 1 - 44*m. Suppose 6*c = 5*b + 2*c - 3, 0 = -3*c - 6. Give g(b). -3 Suppose l = -2*l - 3*d, -3*l = -3*d - 24. Let p(o) = o**3 - 4*o**2 - 5*o + 6. Calculate p(l). -14 Let g(p) be the first derivative of 1/2*p**2 - 3 + 0*p. Calculate g(5). 5 Let t(s) = -16*s - 45. Let f(y) = -3*y - 9. Let d be -3 + 10*(-3)/6. Let k be (2/4)/((-2)/d). Let r(l) = k*t(l) - 11*f(l). What is r(-4)? 5 Let x(g) = 7*g**3 + g**2. Let i(s) be the third derivative of s**5/60 - s**4/24 + s**3/6 - 5*s**2. Let w be i(0). What is x(w)? 8 Let l(n) = -2*n**2 - 2*n. Suppose 3*o - k = 6*o + 9, 19 = -2*o - 5*k. Determine l(o). -4 Let z(w) = 3*w - 3. Let s be (-4)/(7/3 + -3). What is z(s)? 15 Let d(q) = 3*q + 16. Let t be d(-4). Let l(z) = z**3 - 3*z**2 - 5*z + 4. What is l(t)? 0 Let z(h) be the second derivative of h**5/20 + 5*h**4/12 + h**3/2 + 2*h**2 - 3*h - 5. Give z(-5). -11 Let i = -1 + 3. Let b(r) = -r**2 + 4 + 0 + i*r - 4. Let j = -5 - -7. Determine b(j). 0 Let v(y) = -y**3 - y**2 + y + 8. Let h be 0*(12/8 + -1). Calculate v(h). 8 Let m(w) = 2*w - 4*w + w - 10*w**3 - 3*w**2 + 2*w**2. Let x(q) = -q**2 - 10*q + 10. Let i be x(-11). Give m(i). 10 Let p(z) = z**2 + 5*z + 1. Suppose 4*u + 4 = 6*u. Let j = u + 0. Suppose 5*a = j*a - 12. Determine p(a). -3 Let b(i) be the third derivative of -i**5/60 - i**4/3 - 2*i**3/3 + 7*i**2. Calculate b(-7). 3 Let i(b) = 13*b**2 + 3*b. Let v(f) = -14*f**2 - 4*f. Let c(q) = q + 2. Let p be c(-9). Let s = p - -5. Let r(d) = s*v(d) - 3*i(d). Give r(-1). -10 Let v(z) be the first derivative of -z**2/2 + 6*z + 3. Let y(b) = -b**3 - 3*b**2 + 3*b - 1. Let p be y(-4). Let h be (-2)/p - 8/(-12). Determine v(h). 6 Let s = 23 - 22. Let v = -6 + 9. Let t be -2*(s - (5 - v)). Let m(q) = -q**2 + 4*q - 2. Give m(t). 2 Let g(w) be the second derivative of -2*w**3/3 + 3*w**2/2 - 12*w. Determine g(2). -5 Let w be (-2)/(-7) - 5/(-7). Let r be -2*(-1 + -1) - 7. Let v(k) = k. Let p(x) = 2*x - 4. Let z(n) = r*v(n) + w*p(n). Determine z(-2). -2 Let n = 53 + -51. Let v(i) = -3*i**2 + 2*i - 3. Determine v(n). -11 Let u = -13 + 12. Let f be ((-2)/(-2))/(u - 0). Let a(w) = 6*w**3 + w**2 + w + 1. Give a(f). -5 Let x(j) = -3*j + 12. Let u be x(4). Suppose q - 17 + 11 = u. Let i(r) = -r**3 + 7*r**2 - 7*r - 4. Give i(q). -10 Let d(q) = q + 5. Let u(m) = 1 + m**2 - m**3 + m**3 + m**3 + 4*m - 2*m**3. Let i be u(3). Give d(i). 0 Suppose -3*u + 12 = -0*u. Let g(w) = -w**2 + 3*w + 3. Calculate g(u). -1 Let x(q) = 7*q**3 - 7 + 2 - 5 + 21*q**2 - 12*q**2. Let y(v) = 6*v**3 + 8*v**2 - v - 9. Let a(h) = -5*x(h) + 6*y(h). Calculate a(-4). 4 Suppose -4*u - 2*s - 1 = 11, -3*u = -3*s + 9. Let v(x) = -x**3 + 2*x**2 + 6*x + 3. Let y(i) = -i**3 + 3*i**2 + 7*i + 4. Let d(b) = -6*v(b) + 5*y(b). Give d(u). 5 Let s = 21 + -17. Let r(q) be the second derivative of -1/20*q**5 + 0 + 2/3*q**3 - 1/4*q**s + 3*q**2 - 3*q. Determine r(-4). 6 Let x = -2 + 2. Suppose x = i + i. Let z(c) = -c**2 - c + 6. What is z(i)? 6 Let y(t) = -t**2 + 7*t - 3. Let n = 10 + 14. Suppose n = 4*b - 0. What is y(b)? 3 Let n = 1 - -4. Suppose -15 = 2*u + 5*h, -20 + n = 5*h. Let p(x) = -5*x + 3. Let s(t) = -4*t + 3. Let l(k) = -3*p(k) + 4*s(k). Determine l(u). 3 Let i(y) = -y**2 - y + 3. Let u be i(0). Suppose -5*t = 5*o - 15, 2*t - 3 = u. Suppose o = -2*k + 8. Let v(g) = -g**2 + 2*g + 1. Give v(k). -7 Let z(v) = -v**3 + v**2 + 9. Suppose k + m = -2 - 2, -4*m = 5*k + 16. Calculate z(k). 9 Let i(o) be the first derivative of o**4/4 - 4*o**3/3 + o**2 + 4*o - 7. Calculate i(4). 12 Let x(f) be the first derivative of 2*f**3/3 + 2*f**2 - f - 2. Suppose -l = 3*l - 84. Suppose 3*j = 5*b - j + 23, 0 = 5*b - 3*j + l. Calculate x(b). 5 Let w(p) be the third derivative of -p**6/120 - p**5/60 + p**4/24 + p**3 + p**2. Let a = -23 + 23. Determine w(a). 6 Let i(c) be the second derivative of c**4/24 - 11*c**3/6 - 7*c**2/2 - 6*c. Let x(u) be the first derivative of i(u). What is x(5)? -6 Let z(j) be the third derivative of j**4/6 + 3*j**2. Let g(d) = -d. Let p(f) = 5*g(f) + z(f). Let b = -12 + 7. Determine p(b). 5 Let l(i) be the first derivative of i**3/3 + 3*i**2 + 4*i - 1. Let g(b) = -b**3 + 6*b**2 - 7*b + 5. Let f be 1/((-1)/20*-4). Let c be g(f). What is l(c)? -1 Let f(k) = 3*k**3 - 3*k + 18. Let h(d) = -2*d**3 + 2*d - 12. Let r(i) = -5*f(i) - 8*h(i). Let p be r(0). Let g(s) = s - 7. Give g(p). -1 Let o(c) = 8*c**2 + 6*c**3 + 2*c - 3*c**2 - 4*c**2 + 1. Give o(-1). -6 Suppose -4*s = s - 25. Let h(k) = k**3 + 12*k**2 - k - 1. Let c(t) = -t**3 - 11*t**2 + t + 2. Let m(a) = s*c(a) + 4*h(a). What is m(-7)? -1 Let g(c) = c**3 - 3*c**2 - 3. Let q(v) = -v**2 + 4*v + 3. Suppose 0 = 3*b + b - 16. Let n be q(b). Give g(n). -3 Let z(f) = 0*f**2 - f**2 - 5 + 7*f + 0*f**2. Give z(4). 7 Let f(h) = -h**3 - 8*h**2 - 7*h + 8. Let n = 75 + -82. Determine f(n). 8 Suppose 7*g + 10 = 2*g. Let v(p) = -p**2 + p + 1. Let d(a) = -5*a**2 + 2*a + 5. Let n(i) = -d(i) + 4*v(i). Give n(g). -1 Let q(r) = 3*r**2 + 3 - 3 - 4*r**2 - 4 - 3*r. Let t be -1*((-2)/(-2) + 2). Calculate q(t). -4 Suppose 2*g = -0 + 6. Let d(y) = g*y - 11 - 6*y + 2*y. What is d(0)? -11 Let r(l) be the third derivative of -3*l**2 + 1/12*l**4 + 0 - 3/2*l**3 + 0*l. Calculate r(6). 3 Let u(m) be the third derivative of -m**4/8 - 25*m**2. Determine u(2). -6 Let b(p) = -3*p + 9. Let u(j) = j - 5. Let r(f) = 2*b(f) + 5*u(f). Give r(-4). -3 Let q = -9 + 13. Suppose -1 = -5*t + 4*y, 5*t + q*y = t + 8. Let j(o) = -o**3 + o**2 - o + 1. What is j(t)? 0 Let u(i) be the second derivative of i**5/20 - 7*i**4/12 + 4*i**3/3 - 5*i**2/2 + 30*i. Calculate u(6). 7 Suppose -6*g = -3*g. Suppose 2*f + 14 = 4*m, g*m - 5*f = m + 13. Let h(b) = -b**3 + 4*b**2 - 4*b**2. What is h(m)? -8 Let h(s) = -s**3 - 6*s**2 - 2*s + 5. Suppose -2*i - 15 = -5. What is h(i)? -10 Let a(t) = -11*t**2 - 12*t - 7. Let u(x) = -5*x**2 - 6*x - 3. Let h(d) = -3*a(d) + 7*u(d). Suppose 2*w = 4*l - 8, -12 = w + 2*w + l. What is h(w)? -8 Let j = 3 + -2. Let i(f) = 2*f**2 + 3*f**2 + 5*f**2 - 1 - 2*f**2. What is i(j)? 7 Suppose 5*j = -3*x + 1 - 9, -3*j = -6. Let o = x + 9. Let s(d) = -5 + 2*d + 1 + o - d**2. What is s(4)? -9 Let x(c) be the third derivative of c**4/3 + 8*c**2. Suppose -4*q = 8, 2*l + 3*q = -l - 9. What is x(l)? -8 Let z(s) = -7*s**2 - 4*s + 4. Let t(x) = -15*x**2 - 9*x + 8. Let y(g) = -6*t(g) + 13*z(g). Give y(-3). -11 Let v(q) = q**3 - q**2 - 1. Let o be v(2). Let u(g) = 0*g + 0*g - o*g**3 + 4*g**3. Let d(k) = -k - 5. Let m be d(-6). Determine u(m). 1 Suppose 36 = 2*c - 4*l, -2*c + 6*c - l = 100. Suppose 3*b - 40 = -2*b - 5*i, -4*b + c = i. Let u(t) = 7*t - t**2 + 8 - 3*t + 0. Determine u(b). -4 Let j(s) be the first derivative of s**4/2 + s**3 + s**2 + 2*s + 58. Suppose u = -0 + 2. Let y = 0 - u. What is j(y)? -6 Suppose -3*g - 7*l = -2*l + 17, -g = 5*l + 9. Let d(s) = s**2 + 3*s - 1. Give d(g). 3 Let g(k) be the second derivative of k**3/3 + k**2 + k. What is g(-3)? -4 Let u = -2 - -2. Let j(r) = -r**3 + 6*r**2 - 3*r - 6. Let v be j(5). Let s(x) = v*x + x - 2*x + 4 - 4*x. Determine s(u). 4 Let h = -17 + 11. Let r = 3 + h. Let k(o) = -3*o + 4 + 3*o - o. What is k(r)? 7 Suppose -19 = 3*c - 7. Let s be (8/6)/(c/12). Let i(q) = -q - 14. Let f(u) = 1. Let y(j) = -22*f(j) - 2*i(j). Give y(s). -2 Let u(o) = 5*o**2 - o**2 + 2*o**2 + 3*o - 4*o**2. Let l(p) = -p**3 - 11*p**2 - 9*p + 8. Let m be l(-10). What is u(m)? 2 Let i(x) = -x**2 - 5*x + 1. Let j be i(-6). Let r(m) be the third derivative of 1/8*m**4 + 2/3*m**3 - 1/120*m**6 + 2*m**2 - 1/12*m**5 + 0 + 0*m. What is r(j)? -11 Let j(p) be the third derivative of p**6/120 - p**5/12 + p**4/8 + p**3/6 + 9*p**2. Give j(4). -3 Let t(h) = 7*h + 8. Let y(s) = 3*s + 4. Let c(j) = 4*t(j) - 9*y(j). What is c(3)? -1 Let c(b) = b**3 - 5*b**2 + 4*b + 2. Let d(g) = g**3 - 8*g**2 - 7*g - 6. Let a be d(9). Let u = a + -8. Give c(u). 2 Let q = -101 - -105. Let m(d) = -d**2 + 5*d + 1. Determine m(q). 5 Let w(n) = n**3 + 5*n**2 + n - 1. Let m = 2 + -7. Calculate w(m). -6 Let a = -6 - -13. Let x(z) = -4*z - 31. Let c(k) = 3*k + 12. Let j(t) = t + 1. Let b(d) = c(d) - 2*j(d). Let n(u) = a*b(u) + 2*x(u). What i
{ "pile_set_name": "DM Mathematics" }
). Suppose -3*t + 18 + 6 = w. Let h = -17 + 81. What is the greatest common divisor of h and t? 8 Let f = -6 - -9. What is the greatest common divisor of 21 and f? 3 Let v = 16 + -16. Suppose -z = -2, v = k - 4*z - 0*z - 16. Calculate the greatest common factor of k and 48. 24 Let a = 2 + 0. Let d be (a - 26/7)*-7. What is the greatest common divisor of 3 and d? 3 Let o be (-3 + 1)/(-2) - -19. Calculate the highest common divisor of 80 and o. 20 Suppose 3*b + 2 = -3*a + 2*a, 4*b = -2*a. Let k = 0 - b. Let f(q) = -q**3 - 4*q**2 - 3*q + 4. Let t be f(-4). Calculate the greatest common divisor of k and t. 2 Let i(m) = -40*m**3 + m**2 + 2*m + 1. Let n be ((2 - 5) + 2)/1. Let g be i(n). What is the highest common factor of g and 10? 10 Let w = 15 + -13. Suppose -62 = -4*q + y, -4*q + w*y + 58 = -y. What is the highest common factor of q and 16? 16 Let y(v) = -v**2 - 2*v + 8. Let j be y(0). Suppose 5*m + 84 = j*m. What is the highest common factor of 4 and m? 4 Let o be (-4)/(-10) + 38/5. Suppose -2*h + 30 = -2. Let v be h/(-6)*(-18)/12. Calculate the greatest common factor of v and o. 4 Let f be (-1 - -2)/2*178. Let g = f + -64. Calculate the greatest common divisor of g and 125. 25 Let a = -4 + 40. Suppose 5*v - 5*p - 135 = 0, 5*v - 133 + 22 = -3*p. Calculate the highest common factor of a and v. 12 Suppose n - 6 = -0*n - 2*y, y + 15 = 4*n. Suppose 0*l + 32 = n*l. What is the highest common factor of l and 20? 4 Suppose 0 = 2*h + 2*h + 8. Let s be 60/(-1)*3/h. Let f(i) = 3*i + 1. Let l be f(3). Calculate the greatest common divisor of s and l. 10 Let f be 330/25 + 1/(-5). Let g(t) = -15*t + 10. Let a be g(-8). Calculate the greatest common divisor of a and f. 13 Let m be (-1 + 2)/(1/28). Let t(u) = u**2 + 2*u - 11. Let f be t(-5). Calculate the highest common factor of m and f. 4 Let p be ((-1)/2)/((-1)/26). Let q(x) = x**3 - 3*x**2 - x + 3. Let b be q(3). Suppose b = 6*w - 594 + 48. What is the highest common factor of p and w? 13 Suppose 5*r + 8 = 3*m, -3*m - r + 24 = 2*r. Let b = 2 + m. Suppose -5*d + 33 = v, 0 = 3*v - b - 1. Calculate the highest common factor of 4 and d. 2 Suppose 42 = 2*k + 10. Let b = k - -17. Let h(s) = -s**3 + 4*s**2 + 4*s + 6. Let q be h(4). What is the highest common factor of q and b? 11 Suppose 4*j - 395 + 11 = 0. What is the highest common factor of 64 and j? 32 Suppose 0 = -z - 3*z - 3*c - 14, -3*c = 2*z + 10. Let h = z + 9. What is the greatest common factor of 1 and h? 1 Let z(n) = -n**2 - 9*n + 5. Let g = 9 - 17. Let r be z(g). Calculate the highest common divisor of 91 and r. 13 Suppose 858 = 5*m + w + 45, -4*w = -5*m + 798. Let o = 5 + -1. Suppose -2*b = t - 38, 0*t = -o*b - t + 74. Calculate the highest common factor of m and b. 18 Let z be 78/4 + 15/(-10). Suppose -25 = 13*w - z*w. What is the highest common divisor of 1 and w? 1 Let z(u) = 30*u**2 - u. Let b be z(2). Suppose b = i - 195. Let r be i/9 - 6/(-27). Calculate the highest common divisor of r and 5. 5 Suppose 18 = 2*o + 5*h - 2*h, 4*h = 0. Let n = 50 - 23. What is the highest common factor of o and n? 9 Suppose 181 = 4*y + 53. What is the highest common divisor of 16 and y? 16 Suppose 4*t = -5*b + 263 + 254, 0 = -t + b + 118. What is the highest common divisor of 41 and t? 41 Suppose -4*r + 15 = -13. Let u(o) = 4*o - 8. Let h be u(r). Calculate the greatest common divisor of 30 and h. 10 Suppose -4*w - 176 = -t, -5*w - 898 = -5*t - 3*w. Suppose 0 = -2*m - 54 + t. What is the greatest common factor of m and 7? 7 Let k = 68 + -66. Suppose 0*c - 3*c = -42. Let y = c - k. What is the highest common factor of y and 4? 4 Let o(m) = -m - 3. Let r be o(-18). What is the greatest common divisor of r and 135? 15 Let r = -117 - -195. Let x be -13*(20/(-5) - 0). What is the greatest common factor of r and x? 26 Suppose 0 = 4*g - 9*g + 40. Let r be 40/8*g/10. What is the highest common divisor of 8 and r? 4 Let l(n) = -6*n - 8. Let q(g) = -12*g - 15. Let t(h) = 13*l(h) - 6*q(h). Let u be t(-4). Calculate the highest common factor of 4 and u. 2 Let i(u) = u + 17. Let t be i(-8). Calculate the greatest common divisor of 63 and t. 9 Suppose 2*a + 6*x - 3*x = 9, -5*a - 2*x + 28 = 0. Calculate the highest common divisor of a and 18. 6 Let y be 0/2 + (8 - -1). Let a be 2/11 - (-252)/66. Suppose -3*x = a - 31. Calculate the highest common divisor of x and y. 9 Let v = 206 + -96. Calculate the highest common divisor of 22 and v. 22 Let r(z) = 5*z**2 + 4*z + 2. Let o be r(-2). Suppose 0*w - 4*a + o = -w, 2*w = -a + 8. What is the highest common divisor of w and 10? 2 Let f = -20 + 33. Let t(j) = -j**2 + 16*j - 18. Let b be t(f). Calculate the highest common factor of b and 105. 21 Suppose -2*a + 69 - 15 = 0. Calculate the greatest common factor of 9 and a. 9 Suppose 5*q + 12 = 2*q. Let r = q + 7. Let g = 55 - 31. What is the greatest common factor of r and g? 3 Suppose 4*u + 0*u - 8 = 0. Suppose -u*c = 10, 4*t = -0*t + 2*c + 30. Suppose l - t = 4*w, 4*l - w = 3*w + 20. Calculate the greatest common factor of 2 and l. 1 Let j(o) = o**3 - 5*o**2 - o - 5. Let v be j(6). Calculate the greatest common factor of 175 and v. 25 Let f(o) = -o**2 - 8*o - 7. Let j be f(-6). Let t(c) = c**3 + 6*c**2 - 6*c + 1. Let v be t(-7). Let i = j - v. What is the greatest common divisor of i and 1? 1 Suppose 8*b + 5 = 69. Calculate the greatest common divisor of 64 and b. 8 Suppose -3*c - 2 + 8 = 0. Suppose 0 = -4*v - 3 - 5. Let g be v/6 - 155/(-15). What is the highest common factor of g and c? 2 Let u = 8 + -2. Suppose 5*h - 3*c = 8, -c - 14 = 4*h - 34. Calculate the greatest common divisor of u and h. 2 Suppose 9*f + 12 = 11*f. Suppose 0 = -5*m - f + 116. What is the greatest common factor of m and 242? 22 Let i(y) = -y - 6. Let t(a) = a**2 - 7*a + 5. Let m be t(4). Let r be i(m). Calculate the greatest common divisor of 9 and r. 1 Suppose -2*v = -151 - 57. Let d = -15 + 28. Calculate the greatest common factor of d and v. 13 Let d = 26 + -17. Let m = d + -5. Let c = 18 - m. What is the greatest common factor of 7 and c? 7 Suppose v - 141 = -5*r + 3*v, -3*v + 45 = 2*r. Calculate the greatest common factor of 45 and r. 9 Suppose -2 - 6 = -2*m. Suppose 5*k - 30 = 50. Calculate the highest common factor of k and m. 4 Suppose 35*a - 37*a = -484. What is the greatest common factor of a and 22? 22 Let x be (21 + -1)*(-17)/(-68). Calculate the greatest common divisor of x and 5. 5 Let u be 0/(-1) - (-2)/2. Let q be 0/u*2/(-4). Suppose q = 4*p - 36 - 0. Calculate the greatest common divisor of 99 and p. 9 Let j = 50 - 41. Calculate the highest common divisor of j and 6. 3 Suppose -5*z - 6*k + 3*k = 18, z + 14 = 2*k. Let g(m) = -m**2 - 9*m - 9. Let q be g(z). What is the highest common divisor of q and 9? 9 Let w(h) = 4*h**2 - 8*h + 18. Let t be w(3). Calculate the highest common factor of 30 and t. 30 Let o = -17 + 28. What is the greatest common factor of o and 11? 11 Suppose -3*w - 15 + 39 = 0. Calculate the highest common divisor of w and 8. 8 Let x(y) = y**2 + 7*y + 10. Let b be x(-7). Suppose -64*w + 65*w = 4. Calculate the greatest common divisor of w and b. 2 Let t = 15 - 10. Suppose -f + 0*f + 10 = g, -g = t*f - 30. What is the highest common factor of 55 and g? 5 Let y be (0 + 4)*2/4. Let z be (-3)/(3/(-6)*y). Suppose 0*c - 168 = -z*c. What is the greatest common factor of 7 and c? 7 Suppose -2 - 2 = -d. Suppose 5*g + 2*y - 136 = g, 0 = -2*y + d. Suppose -3*r - 1 = -10. What is the greatest common divisor of r and g? 3 Let o be 84/10*(-420)/(-9). Suppose -w - 3*w = -o. What is the greatest common divisor of w and 14? 14 Let b(i) be the second derivative of i**4/6 - i**3 - 8*i**2 - 9*i. Let f be b(7). Calculate the greatest common divisor of 20 and f. 20 Let l be ((-4)/4 + -8)/((-6)/8). What is the greatest common factor of 6 and l? 6 Let t be (-20)/8*(0 - (-234)/(-15)). Calculate the greatest common divisor of 429 and t. 39 Let x = 428 + -284. Suppose y - 15 - 1 = -4*d, 0 = 2*d - 2. Let w = 28 - y. Calculate the greatest common factor of w and x. 16 Let d = 31 + -21. Let v be ((-135)/d)/(2/(-4)). Suppose i + 2*i = v. Calculate the highest common factor of 81 and i. 9 Let o = 110 - 94. What is the greatest common divisor of o and 208? 16 Let j = -34 + 80. Let h = -18 + j. What is the
{ "pile_set_name": "DM Mathematics" }
5*x - 2*x - 5*x. -150*x Expand (u**3 + 27 + 0*u**3 - 6)*(2*u**2 + 0*u**2 - 3*u**2). -u**5 - 21*u**2 Expand (-4 + 6 + 0)*(-17*h - 264 + 264) - 8*h + 4*h - 6*h. -44*h Expand -5*g + 2*g + 2*g + (-g + g - 2*g)*(1 - 4 + 1) + g - 2*g - g - 150*g + 1356 - 1356. -149*g Expand (6 - 6 + 8)*(-5 + 5 + 3*t + (t - 4*t + t)*(2 + 1 - 4)). 40*t Expand (6 + 7 + 0 + 11)*(7*v + 45 - 45)*(3 - v - 3). -168*v**2 Expand -312*n**3 - 245*n**3 + 432*n**3 + (2*n - 6*n + 5*n)*(-2*n**2 + 0*n + 0*n) + (-3*n + 2*n + 0*n)*(3*n**2 - 3*n**2 + 2*n**2) + 0*n**2 + 0*n**2 - 2*n**3. -131*n**3 Expand (-48 + 10 - 28)*((1 + 4 + 1)*(5 - 5 - 2) - 1 - 3 + 6)*(-2*v + 4 - 4). -1320*v Expand (-y + 4*y + 2*y)*(-7*y - 7*y - 4*y - 2). -90*y**2 - 10*y Expand o**2 + o - o + (-1 + 2 - 3)*(0 - o**2 + 0) - 8*o + 2 + 64*o**2 + 11*o - 4*o. 67*o**2 - o + 2 Expand (3*x**3 - x**3 - 3*x**3)*(-4*x + 8*x - 182*x). 178*x**4 Expand (-3*a**3 - 9*a**5 + 3*a**3)*(-2 + 1 + 0)*(-5 + 12 - 40). -297*a**5 Expand 3*m**3 - 5*m**3 - m**3 + (-m + 0*m + 3*m)*(-m**2 - 3*m**2 + 3*m**2) + 4 + 1 + m**3 + 1. -4*m**3 + 6 Expand (-51*d + 248*d + 380*d - 34*d)*(3 - 1 - 1). 543*d Expand 11*x**3 + 45*x**3 - 2*x**3 + (0*x**2 + 4*x**2 + 0*x**2)*(x - 5*x + 2*x). 46*x**3 Expand (-86*m**2 + 60*m**2 + 67*m**2)*(-2 + 1 + 2). 41*m**2 Expand (3*b**2 + 4*b**2 - 6*b**2)*(3 + b - 3)*(-3*b - 9 + 9). -3*b**4 Expand (-y**3 - 3*y**3 + 5*y**3)*(1 + 2 - 1)*(213 - 104 - 105 - 4*y). -8*y**4 + 8*y**3 Expand (2*y**3 - 4*y**2 + 4*y**2)*(-30*y - 23709 - 24*y + 23711). -108*y**4 + 4*y**3 Expand (-10*a - 5*a - a)*(3 + 5 + 0). -128*a Expand (17*h + 0*h - 3*h)*(-4*h - 2*h + 2*h). -56*h**2 Expand (-5*z - z + 4*z + 5*z - 2*z - z + (1 + 3 - 3)*(4*z - 5*z - z) - 3*z + 2*z + 0*z + 3 - z - 3 + (3*z + z - 6*z)*(1 - 5 + 5))*(0*z**2 - 2*z**4 + 0*z**2). 12*z**5 Expand (2*w**3 - 2*w**3 + 4*w**3)*(2*w - 4*w + 0*w) - 4*w**4 + 4*w**4 - 2*w**4 - 6*w**4 + 0*w**4 + 4*w**4. -12*w**4 Expand -j**5 - j**5 - 4*j**5 + (35 - 19 - 19)*(4*j**5 - j**5 - j**5) + 3*j**2 - 3*j**2 + 2*j**5 - 5*j**5 + 2*j**5 + 2*j**5. -11*j**5 Expand 17*d - 17*d - 5*d**3 + (-4*d**2 - 6*d + 6*d)*(-2*d + 6*d - 2*d + 1). -13*d**3 - 4*d**2 Expand (23 + 26 - y - 19)*((4*y + 0*y - 2*y)*(-4 + 3 + 3) + 7*y + 7*y - 2*y). -16*y**2 + 480*y Expand -83*n**2 - 5*n**3 - 2*n + 83*n**2 + 5*n**3 - 3*n**3 - 3*n**3 + 3*n**3 + n**3 - 5*n**3 + (n**2 + 2*n**2 - 6*n**2)*(-n - 3*n + n). 2*n**3 - 2*n Expand (-22*c + 101*c + 18*c)*(4 - 4 - 3). -291*c Expand (g**2 - g**2 + g**2)*(-2 + 5 + 0) + (2*g - 4 + 4)*(5*g + 3*g - 5*g). 9*g**2 Expand (-2*n**4 + 0*n**4 + 4*n**4 + (-n**2 - 2*n**2 + 2*n**2)*(-n**2 - n**2 + 0*n**2))*(-4 + 2 - 25 - 3 + 6 - 2 + (-2 + 0 + 4)*(-2 + 0 + 4))*(4*n - 4*n - n). 88*n**5 Expand (-5 - 4*z + 0*z + 2)*(-18 + 10 - 14)*(4 - 4 - 1)*(4 + 3 - 3). -352*z - 264 Expand (0*q**2 + 3*q**2 - 4*q**2)*(2 - 2 - 2) + q - 2*q**2 - q + (-2 + 10 - 1)*(-2*q - 3*q**2 + 2*q) + 12*q**2 + 5*q**2 - 10*q**2. -14*q**2 Expand (31 - 12 - r - 61)*(-4*r + 4*r + 4*r**3). -4*r**4 - 168*r**3 Expand (-1 - 4 + 4)*(265*a - 167*a - 254*a)*(3*a**3 + a**3 - 5*a**3). -156*a**4 Expand (2*r - 2*r + r)*(12*r**4 - 3*r**4 + 42*r**4). 51*r**5 Expand (-29*s**4 + 3 + 22*s**4 + 13*s**4)*(3 + 2*s - 3)*(-3 + 0 + 1). -24*s**5 - 12*s Expand 7*y**2 + 21*y**2 + 8*y**2 + 2*y - 2*y + 3*y**2 - 7 + 7 - 2*y**2 + (y - 3*y + y)*(2*y - 2 + 2) + 2*y**2 - 6*y**2 + 3*y**2. 34*y**2 Expand (3*h - 4*h + 0*h)*(4*h + 80*h + 121*h)*(-1 + 2 + 0). -205*h**2 Expand (4*z - z + 3*z)*(z - 2*z - 4*z)*(-4*z**2 + 6*z**2 - 3*z**2). 30*z**4 Expand 3 - 12 - 32*i + 34*i + 5*i - 3*i - 3*i + (i - 4 + 4)*(1 + 0 - 2) - i + 5*i - 3*i. i - 9 Expand (s**2 - s**2 - s**2)*(27528*s**3 - 3*s**2 + 4*s**2 - 16*s - 27529*s**3). s**5 - s**4 + 16*s**3 Expand (-4 - 3 + 6)*(-4*l - 3*l + l)*(-3*l + 3*l + l**2). 6*l**3 Expand 153*w**5 - 301*w**5 + 149*w**5 - 10*w**2 + (2*w**3 - 3*w**3 + 3*w**3)*(-3*w**2 + 3*w**2 - 2*w**2). -3*w**5 - 10*w**2 Expand -5*b + b**3 - 6*b - 6*b - 2*b**3 + 4*b**3 - 3*b**3 + (3*b**2 + 0*b**2 - 4*b**2)*(-2*b + 3*b + 0*b). -b**3 - 17*b Expand ((-p - p + 4*p)*(2*p + 36*p + 9*p) + 0*p**2 - 3*p**2 + p**2)*(5*p**3 - p**3 - 2*p - 2*p**3). 184*p**5 - 184*p**3 Expand (5 - 4 + 0)*(-7*m - 2*m + 5*m) + (-m - 2*m + 0*m)*(-3 + 0 + 8). -19*m Expand -2*m**4 + 9*m**4 - 34*m**4 + (0*m + m**2 + 0*m)*(-4*m + 4*m - m**2) - 4*m**4 - 11*m**2 + 11*m**2. -32*m**4 Expand (-1 + 4 - 4)*(36 - 36 + 9*d)*(-d - 4*d + d). 36*d**2 Expand (-4*x**3 + 3*x**3 + 3*x**3)*(0 + 1 + 1 + (-1 + 4 - 2)*(-11 + 3 - 4)). -20*x**3 Expand (-1 + 1 - t)*(3*t**2 - 6*t**2 + 0*t**2) + (2 - 2*t - 2)*(-2 - 5 + 4)*(-t + t + 2*t**2). 15*t**3 Expand (-2*j**3 + j**3 + 3*j**3)*(1 - 1 + 4*j) + (3*j**3 + j**4 - 3*j**3)*(5 - 2 + 0). 11*j**4 Expand (-2 + 21 - 16 + 4*j**4)*(-1 + 4 - 2)*(-1 - 2*j + 1)*(2 + 0 + 0). -16*j**5 - 12*j Expand (-t + 0*t + 7*t)*(-t**4 + 4*t**4 - 6*t**4). -18*t**5 Expand (-30*c**3 + 9587*c**2 - 9587*c**2)*(-2*c**2 - 3*c**2 + 8*c**2). -90*c**5 Expand -l**2 - l**2 - 2*l**2 + (2*l + 2 - 2)*(0*l - 6*l + 4*l) + 2*l**2 - 2 + 2 - 5*l**2 + 5*l**2 - 2*l**2. -8*l**2 Expand ((-2 + 2 + 2)*(-7 + 4 + 2) + 0 - 1 - 1 + (-9 + 2 + 17)*(-2 + 4 + 0) + 0 + 0 + 2 + (1 + 1 - 1)*(4 - 2 - 1))*(2*v**3 + 2 - 2). 38*v**3 Expand (-2*w + 0*w - w)*(8*w + 4*w - 6*w)*(-8*w - 4*w + 2*w). 180*w**3 Expand (-3 + 3*w + 3)*(-4*w - 6 + 6)*(w + 3*w - w + w + w - w - w - w + 4*w + (2*w + 2*w - 3*w)*(1 + 1 + 0) + w + w + 0*w). -120*w**3 Expand (1 - 3 + 0)*(d**2 + d**2 + 0*d**2) - d**2 - 7*d - 2*d**2 + 5*d**2 + (-5 + 5 - 4*d)*(2*d - 3 + 3) - 3*d**2 - 2*d**2 + 0*d**2 - 2*d**2 - 2*d**2 + 7*d**2. -12*d**2 - 7*d Expand 3*z**2 + 2*z**2 - 6*z**2 + (-6*z + 3*z + z)*(z + 11*z - 2*z) + (-3 + 1 + 1)*(-4*z + 4*z - 3*z**2). -18*z**2 Expand (n**3 - 14*n**2 + 5*n**2 + 11*n**2 + 2)*(1 - 1 + n). n**4 + 2*n**3 + 2*n Expand (0 - 5*z**3 + 0)*(2*z + 0*z + 0*z) - 7*z**4 + 2*z**4 + 3*z**4 + z**4 - z**4 + 4*z**4 + (-11*z**3 - 3 + 3)*(-3*z + 6*z - 2*z). -19*z**4 Expand (19*d**2 + 0*d**2 + 5*d**2)*(7*d**3 - 5*d**3 + 5*d**3). 168*d**5 Expand (0*k - k - k)*(-16*k**2 + 7*k**2 + 0*k**2) + (-15 + 9 + 15)*(0 + 2*k**3 + 0). 36*k**3 Expand (-2 + r + 2)*(-1 - 3 + 6)*(-33*r - 98*r + 25*r). -212*r**2 Expand (f - 5*f - 5*f)*(-16*f + 7*f - 8*f - 2*f). 171*f**2 Expand (6*q - 3*q**2 - 6*q)*(3*q + 4*q - 14*q) + (q - q + q)*(2 - 2 + 2*q**2) + (-1 + 1 + 2)*(-2*q**3 + 4*q**3 - 4*q**3) - q**3 - 3*q**3 + q**3. 16*q**3 Expand (-3*y**2 + 7*y**2 + 26*y - 6*y**2)*(1 - 1 + 2). -4*y**2 + 52*y Expand (17*t**2 - 42*t**3 - 17*t**2)*(t**2 + 2*t**2 - 5*t**2) + 8*t**5 - 5*t**5 - 2*t**5. 85*t**5 Expand -1 + 1 + 2*o**2 + (2 - 2 + o)*(0*o + 2*o + 0*o) + o**2 - o**2 + o**2 + (19*o**2 - 19*o + 19*o)*(-55 + 74 - 69). -945*o**2 Expand (0 + 2 - 1)*(-1 + 2 - 3)*(2340*g - 2340*g - 336*g**2). 672*g**2 Expand (-n + 3 + 2*n + 9)*(7*n + 7*n - 10*n). 4*n**2 + 48*n Expand (0*j**3 + 4*j**3 - 3*j**3)*(-1 + 2*j + 1) + j**4 - j**2 + j**2 - 145*j - 140*j + 285*j + 1036*j**4. 1039*j**4 Expand (-4*q**2 - 3*q**2 + 4*q**2)*(3*q**2 + 3*q**2 - 5*q**2) - 5*q**4 + 7*q**4 - q**4. -2*q**4 Expand (-21*m + 2*m + 9*m)*(3*m**2 + 0*m**2 - 2*m**2) - 6*m**3 - m**3 + 5*m**3 - 3*m**3 - 2*m**3 + 3*m**3. -14*m**3 Expand (2 + 1 - 2)*(11*w + w + 157*w + 2*w**2). 2*w**2 + 169*w Expand ((3*d**2 - 6*d**2 + d**2)*(4 - 3 - 2) + 5*d**2 + 11*d**2 - 26*d**2)*(4*d + 1 + 5*d - 2*d). -56*d**3 - 8*d**2 Expand 6*f**4 - 2*f**4 - 2*f**4 + (-4*f**2 + 1 - 1)*(-3*f**2 + 5*f**2 - 3*f**2)*(4 - 3 - 5). -14*f**4 Expand -5*r**4 + 3*r**4 - 2*r**4 + (0*r - 3*r + r)*(-40*r**3 - 28*r**3 - 17*r**3). 166*r**4 Expand (-h + 2*h + 0*h)*(-7*h**2 - 4*h**2 + 24*h**2) - h**3 + 0*h**3 - 5 - h**2 + 4. 12*h**3 - h**2 - 1 Expand ((1 - 4 + 1)*(-5 + 5 + 1) - 4 + 3 + 0 - 46 - 26 - 61)*(-2*w - w**3 + 2*w). 136*w**3 Expand (78*g**2 + 2 - 18*g**2 + 11*g**2)*(6 - 7 + 5)*(4*g + 3*g - 6*g). 284*g**3 + 8*g Expand -3*s + 3*s - 2*s**4 + (2*s**4 - 2 + 2)*(-1 + 3 + 0) + (2*s**2 - 3*s**2 + 6*s**2)*(-s**2 - 2*s + 2*s). -3*s**4 Expand (-2*t**3 - t**3 + 2*t**3)*(0*t + 2*t + 0*t) + 3*t**4 - 6*t**4 + 4*t**4 + (-2*t**4 - 9*t**4 + 9*t**4)*(4 - 1 + 0). -7*t**4 Expand (0*w**2 - 2*w**2 + 4*w**2)*(0*w**2 + 0*w**2 + 2*w**2) - w**3 + w**3 - w**4 + (-14 + 14 + w**3)*(3*w - 2*w + 0*w) + 12*w**2 + 6*w**4 - 12*w**2. 10*w**4 Expand -t**4 + 6*t**4 - 2*t**4 + (0*t - t - 4*t)*(3*t**3 + 1 - 1) + 3*t**4 + 2*t - t**4 - t + (-2*t + t - t)*(-t**3 - 3*t
{ "pile_set_name": "DM Mathematics" }
t c = u + -296. Which is greater: c or 140? 140 Let a = 43 - -55. Let k = a - 43. Let s = -72.3 + 72.1. Which is bigger: k or s? k Let c = -90 + 83. Let s be 1*(-1 + (c - -5)). Let d be -2*(-12)/18 + s/9. Does d = -25? False Suppose -37*a = -34*a - 2*k - 10, -a = 4*k + 20. Which is smaller: a or 248/21? a Suppose 4*a + 5*l = 289, 0*a - 2*a + 4*l = -112. Let h = -271/4 + a. Let w be 20/(-40)*0/1. Which is bigger: w or h? w Let p = 1288 + -993. Which is smaller: p or 296? p Suppose 5*z - 583 = 3*r, r + 0*r + 5*z + 161 = 0. Let s = -204 - r. Let y be ((-9)/2)/(1/4). Is y at most as big as s? True Let h = -1375/2 + 364371/530. Let s(d) = d**2 - 6*d - 15. Let c be s(-2). Is h bigger than c? False Suppose -312 = -21*z - 564. Let k be 2/6*10/1000*z. Is 0 at most k? False Let f = -0.962 + 1.185. Which is greater: 24 or f? 24 Let b(v) = 12*v + 125. Let s be b(16). Let x = 635 - s. Is 1/2 greater than x? False Suppose 116*y + 7713 = -203639. Which is greater: y or -1820? -1820 Suppose -41 = 6*k - 5*f, -15*k - 4*f = -19*k - 32. Which is smaller: k or -23/784? k Suppose -163 = -10*c + 14*c - 3*x, -205 = 5*c - 5*x. Let r be -9*(c/18 + -1). Which is bigger: r or 25? r Suppose 5*i - 2*l = -6780, -109*i + 108*i - 1379 = -5*l. Are -1356 and i non-equal? True Let x = -16899.7 + 16869.7. Let c = 0.01 + -12.01. Is x at most c? True Suppose 104 = -0*f + 4*f. Let i(n) be the third derivative of 11*n**4/24 - 26*n**3/3 - 7*n**2 + 4*n. Let l be i(7). Is f <= l? False Let t = 17807 - 20977. Is t < -15853/5? False Let w = -5579/20 + 279. Suppose -m + 5*t = -4, -2 + 10 = 2*m - t. Suppose -10 = -4*b + 2*x, 2*b - m*x - 6 - 8 = 0. Which is smaller: w or b? w Let g(r) = -8*r**2 - 11*r - 23. Let j be g(-3). Let z = -6 + j. Is -68 greater than or equal to z? True Let x be (-2)/8 + 272/64. Suppose 0 = x*p - p - 3. Let u be (7/1)/(p - 0). Is 7 equal to u? True Let a be (1078/44 - 35)*(-16)/90*-1. Is -4/13 equal to a? False Let w = -11/769 - -11579/3076. Is 0.022 bigger than w? False Let o = 2158 - 1474. Let p = -736 + o. Let r = 25 + -77/3. Which is smaller: r or p? p Let k be 10/200*((-44)/11 - -2339). Let b be 6/(-15) + (-2960)/(-25). Which is greater: b or k? b Let l(b) = 81*b - 1781. Let z be l(22). Which is greater: -3/1391 or z? z Let j = -103.7 + 117.7. Do -3/25 and j have the same value? False Let b(v) = -v - 33. Let l(o) = -o**2 - 7*o. Let x be l(-7). Suppose 2*p + 4*p = x. Let d be b(p). Which is smaller: -34 or d? -34 Let s(l) = -2*l**3 - 8*l**2 + 51*l + 172. Let o be s(-3). Which is smaller: o or 2/287? 2/287 Let i = -3 - -4. Suppose -5*b = j + 3, 57 = 4*j + 4*b + 53. Is i equal to j? False Suppose -24*f + 429 = -46131. Which is smaller: 3879/2 or f? 3879/2 Suppose 412629 = -275*g + 422*g. Is g bigger than 2807? False Let x(v) = -3*v**2 - 173*v - 67. Let g be x(-57). Which is greater: g or -0.022? g Suppose -3*d - 7 + 61 = 0. Let w be 158/(-712)*d - -4. Which is smaller: w or -1? -1 Let j be (-2)/(-4) - 1*(-456)/(-16). Suppose c - 3*h - 9 = 0, 4*c - 5*h - 19 = 3. Let o be (c/108)/(j/(-32)). Which is smaller: o or 1? o Suppose -3*p + n - 4 = -2, -4*p - n - 12 = 0. Let b be (-84)/3360*p/(-6). Let w(l) = -l + 9. Let u be w(8). Are b and u equal? False Suppose -61*b = b + 5580. Let j(o) = -o**2 - 2*o + 8. Let l be j(-11). Which is bigger: b or l? b Suppose -89*h = -83*h - 1872. Let z be 2*(-3 + h/102). Which is smaller: z or -1/2? -1/2 Let v(l) = -1 + 3*l - 10 - 5*l. Let h be v(-15). Suppose -18*a = -17*a - h. Is a at least 20? False Let z be ((-2)/116)/(2/12). Let m = -360 - -747. Let f = m - 386. Which is smaller: f or z? z Suppose a + 4 = j, 2*j = 3*a - 5*a - 4. Let p be -1*83*(-2 + 3). Let s be 2/(-5) + p/(-220). Which is smaller: s or j? s Let g = 4269287/940 - 18167/4. Which is smaller: g or 1? g Let g be (-2)/(-1) + 41/1. Let o = g + -43. Let m be (0 + 0 - o)/3. Is m less than or equal to 1/35? True Let y(o) = -3*o + 16. Let l be y(4). Suppose l*i + 34 = d, 0 = 5*d - 0*d + 3*i - 216. Let w = d - 58. Which is greater: w or -17? w Let o = -401 - -300. Let c = o + 101. Is c smaller than 8/39? True Let h be -1 - 117880428/272*-14. Let u = h + -6067863. Let j = u + 489. Is j equal to 0? False Let f(y) = 2*y**2 - 8*y - 16. Let b be f(-5). Suppose 5*o - 346 = -4*t - b, -t - o = -67. Let g be 14/(-32) - t/(-168). Is -1 > g? False Let p(h) = -49*h**3 - h. Let v be p(-1). Let k(c) = -c**3 + 7*c**2 + 6*c + 8. Let m be k(7). Does v = m? True Let w(l) = l**2 + 7*l + 1. Suppose -4*b + 5*h = b + 5, 0 = 3*b + h - 9. Suppose 3*s = -i + 8, 4*i - b*s + 30 = -8. Let k be w(i). Which is smaller: -14/5 or k? -14/5 Let k be -10*4/(-40)*14. Let g be 3*(-2)/(k - 2)*0. Is -5/23 smaller than g? True Let y be 5516/21*((-77)/(-14) + -4). Is y bigger than 396? False Let g = -159 + 174.1. Let b = 15 - g. Let x be 126/(-26) + 12/(-78). Is b less than or equal to x? False Suppose 636 = 4*t - t. Suppose 5*m = -2*b - t, -3*m - b = 2*b + 129. Let v = 44 + m. Which is smaller: v or 11? v Let w = -3493 - -3443. Let i = 46.939 + 0.061. Let g = i + w. Is -3 at most as big as g? True Let f be (-18)/(-4) + 14/(-28). Let a be ((-138)/5)/(6/(-30)) - 3. Let v be ((-1580)/a)/f - -3. Is v > 0? True Let y(h) = -23*h**3 - h**2 - 3*h - 2. Let q be y(-1). Suppose 29 = 6*o + q. Is 5/9 != o? True Let g = 4919 - 4908. Which is greater: 3/10 or g? g Let c = 3482/33 - 322/3. Let o = c + 371/198. Is 1 less than or equal to o? False Let h(k) = -k**3 - 6*k**2 - 6*k + 11. Let c be 47/(-9) + 2/9. Let u be h(c). Let t be (-3 + 1 - 12)/(u + -15). Which is smaller: t or -3? t Suppose 0 = -49*s + 37*s - 31115 - 59089. Is s < -7519? False Let k = -151 + 124. Let a be 4*k/36 + 81/26. Let f be (2 - 2)*1/1. Which is bigger: f or a? a Let s(r) = 110*r - 1333. Let j be s(12). Is 14 greater than j? True Let s = 97.8 + -62. Let r = 35.87 - s. Is 4/7 < r? False Let o = -23.65 - -23.75. Which is bigger: o or -313? o Let u = -6586 - -6847. Which is smaller: -1/14 or u? -1/14 Let l = -177 + 208. Suppose -3*m + 2 = -w - l, -5*m = -w - 53. Is m less than 10? False Let n = -5.799 + 0.899. Is n > -12? True Let d = -7 + 7. Suppose -5*l = d, -6*z + z + 4*l = 0. Suppose -3*o + 5*h - 20 = 0, z*o = -5*o + 3*h - 12. Which is bigger: 1 or o? 1 Let a = -0.23 + 17.23. Is -1/44 less than a? True Let z = 386 - 383. Let s(r) be the third derivative of r**4/24 - r**3 - 2*r**2. Let x be s(z). Which is greater: x or -7/4? -7/4 Let h(t) = t**3 - 7*t**2 - 8*t + 5. Let v be h(8). Suppose v*n = -3*n - 856. Is -108 at least n? False Let h = 17943 + -17516. Is 2/7 less than h? True Let f(q) = -10*q + 87. Let j be (-8)/6 - 62/(-6). Let k be f(j). Are k and -9/5 unequal? True Suppose 42*f = 40*f - 32. Let z be 0 - (-3 - (1 - f)). Let n be (18/8)/((-5)/(z/1)). Is n less than -9? False Let j = -3251 - -3233. Is j <= 502? True Let j = -11582 - -11910. Which is smaller: 293 or j? 293 Let x = 66.73 - 66. Let q = 3.73 - x. Are 1 and q non-equal? True Suppose 6171*p = 6143*p - 475104. Which is smaller: p or 2? p Let j = -1358 + 726. Let i = 1265/2 + j. Is -1.53 greater than or equal to i? False Let h(z) = z**2 - z. Let l be h(-1). Let c(d) = -d**3 + 24*d**2 + 60*d - 203. Let p be c(26). Suppose l*a + 5 = 2*g - p, 5 = -4*g - a. Is 3 >= g? True Let z = -17 - -30. Suppose -z*l + 7 = -10*l - 5*g, 5*l + 2*g = -9. Suppose -r = -3*w + 5*w + 1, 2*r = 4*w - 2. Is l bigger than w? False Let d(v) = -2*v + 3. Let n be d(2). Let z be ((-1168)/(-715) - 2) + 4/10. Let x = 9/110 + z. Is n less than or equal to x? True Let o = 4 + -100. Let d be (1*-201)/(-5*189/450). Let p = o + d. Is 2 at most as big as p? False Suppose -70*p + 129*p - 42822 = -124*p. Is p greater than 15? True Let d = 160.2 - 156.9. Let b be (12/(-90))/((-93)/30 - -3). Which is smaller: d or b? b Let n = -6304 - -6304. Which is smaller: n or -1/63? -1/63 Let s be -3 - (-5)/((-10)/(-4)). Let f be (2 - s - 0) + -5. Let r be (-160)/45 + 52/234. Do r and f have different values? True Suppose -3*m = -0*m - 12. Let t(p) = 2*p**3 - 10*p**2 + 7*p + 4. Let j be t(m). Let y(u) = -u + 3. Let b be y(5). Is b greater than or equal to j? False Suppose -8*m + 3*m = -275. Let i = 137 + -255. Let c be i/490 + 11/m. Is c at least as big as -1? True Suppose 155*x - 118*x + 185 = 0. Which is smaller: -231 or x? -231 Let k(g) = -2*g**2
{ "pile_set_name": "DM Mathematics" }
.49 + 0.6. Let w = -10/31 - -192/403. Which is the second smallest value? (a) m (b) w (c) 3/8 b Let t = -326 - -325.7. Which is the fourth biggest value? (a) -4 (b) -5 (c) 0.05 (d) t b Let k = -2/1391 + -2760/15301. Which is the fourth smallest value? (a) -3 (b) 3 (c) -6 (d) k b Let r = 1019/2 + -509. What is the biggest value in r, -1, 53? 53 Let q = 0.11 - 0.18. Let n = q - -4.07. Let d = 4 + -6. What is the third biggest value in 3/7, d, n? d Let y = -215.99 + 216. Which is the second biggest value? (a) 0.1 (b) 0.02 (c) y b Let r = 902 - 887.12. Let o = -15 + r. Let l = -1.12 - o. Which is the third biggest value? (a) -2/5 (b) l (c) -4 c Let w be 3/(-8) - 2021/(-376). What is the smallest value in w, 0.3, -75? -75 Let d = 74 + -72. Let s(j) = 3*j - 1 - 4*j - j. Let o be s(d). Which is the biggest value? (a) o (b) -2/5 (c) -4 b Let n = 2 - -1. Let m = 1.05 - 0.33. Let y = m + -0.42. Which is the second biggest value? (a) y (b) n (c) 5 b Let m be (2/(-4))/(476/357). What is the third smallest value in m, -0.04, -2/5? -0.04 Let j = 1.07 + -0.9. Let k = j + -0.57. Let f = 42 + -43. Which is the biggest value? (a) k (b) 1/2 (c) f b Let y(v) be the first derivative of -v**2/2 + 15*v - 5. Let q be y(13). Let j be (2/(-7) + -2)/q. Which is the second smallest value? (a) -1/5 (b) 0 (c) j a Let v = -0.263 + -0.237. Let u = 9 + -13. Which is the third biggest value? (a) -7 (b) u (c) v a Let n = 879.1 - 879. What is the second smallest value in 4.7, n, 1/14? n Let y = -0.036 + -0.424. Let p = -9.64 + y. Let g = -10 - p. What is the smallest value in 4, g, -2/13? -2/13 Let x = 9529.493 - 9541. Let o = -0.007 - x. Let m = o + -11. Which is the biggest value? (a) 0.1 (b) m (c) -5 b Let h = 2198/9 + -244. Let f = -3.4 + 1.4. Which is the third smallest value? (a) h (b) -3 (c) f a Let d be (-4)/(-10)*25/(-4) + 1. What is the fourth smallest value in -1/7, d, -1/4, 6.1? 6.1 Let m = 0.175 - 2.755. Let o = m + -0.42. What is the biggest value in 0, -7, o? 0 Let x = 417/20 + -103/5. What is the second smallest value in -2/7, x, 8, -1/6? -1/6 Let g be ((-1)/((-6)/40))/(14/6). Let v = 3950/7 - 567. Let n = g + v. Which is the smallest value? (a) -0.5 (b) n (c) 0 a Let m be 5/(-140) - (-1)/(-4). Let q = -14308/27 - -530. What is the third biggest value in q, m, 0.3? m Let o = -60590/1339 - -588/13. Let t = o - -117/721. Let j = 2.414 - 6.414. Which is the third smallest value? (a) j (b) 2/3 (c) t b Let g = -205.6 - -206.1. Let u = 18 - 26. Let i be ((-3)/(-12))/(6/u). What is the smallest value in i, g, -22? -22 Let o = 2320 + -2321. Which is the fourth biggest value? (a) 0.2 (b) o (c) 4/9 (d) -3 d Let m = -58 + 62. Suppose -3*o - m*f - 24 = 0, 0*o = -5*o + f - 17. Which is the second biggest value? (a) o (b) -3/8 (c) 3 (d) -2 b Let v = 2850.9 - 2842. What is the second biggest value in v, -3, 2/11? 2/11 Let w(q) = -q**3 - 7*q**2 - 6*q - 46. Let t be w(-7). Which is the fourth biggest value? (a) 0.01 (b) 4 (c) -0.3 (d) t d Let h = -138.8 + 139. Let l = -0.3 - -0.29. What is the second biggest value in -2/5, h, l? l Let t = -59.71 - -60. Let q = 0.79 - t. What is the third smallest value in -4, q, 2? 2 Let r = 31 + -34.3. What is the third biggest value in r, -2, -3/4? r Let f = 499 - 496. Which is the biggest value? (a) -12 (b) f (c) 0.4 b Let i = 57732513/56648 - 140/7081. Let v = i - 3050/3. Let n = -21/8 + v. Which is the third smallest value? (a) -2 (b) n (c) 0.1 c Let o = -2 + 0. Suppose 4*m - 858 = -2*m. Let q be m/693 - (-2)/9. Which is the third smallest value? (a) q (b) o (c) 2 c Suppose -11*q = -13*q - 4*w, 0 = 4*w - 4. Let y(s) = -s + 3. Let l be y(4). Which is the third smallest value? (a) -2/5 (b) l (c) -4 (d) q b Let d = 0.04 + 79.96. Let h = d - 81. Let q = 0.04 - 0.11. What is the second biggest value in q, h, 2? q Suppose 0 = -c - 3*c - 48. Let l be c*((-54)/52 + 1). Let i = -4 - 0. What is the second smallest value in -3/2, i, l? -3/2 Let f = 0.0953 - -0.3047. Which is the second smallest value? (a) 0.2 (b) -75 (c) 2 (d) f a Let h = 355 - 354.6. Let x be (3*5*-1)/1. Let q = x + 10. Which is the biggest value? (a) q (b) h (c) -4 b Let f = 39 - 41. Let m = 64.99 - 65. Which is the second smallest value? (a) -1 (b) f (c) m a Let t = -4.9 - -5.2. What is the fourth biggest value in -0.07, 0.1, 3, t? -0.07 Suppose 38*p - 589 = 7*p. Which is the third biggest value? (a) p (b) 1 (c) -0.4 c Let r = 316 + -316.3. Let o = 3/5501 - -1556759/44008. Let t = o - 143/4. Which is the third biggest value? (a) 2/7 (b) t (c) r b Let k be (-20)/12 - (3 + 37/(-6)). What is the third smallest value in 5, -5, 0.4, k? k Let u = -1.67 - 0.33. Let j = u + 1.4. Which is the second biggest value? (a) -0.1 (b) j (c) 3/5 a Let w(f) be the first derivative of f**3/3 - 15*f - 11. Let v be w(4). Which is the smallest value? (a) v (b) -0.3 (c) 3 (d) 4 b Suppose 5*x - 146 + 6 = 0. Let y be x/(-170) - (-10)/25. Which is the third biggest value? (a) 4 (b) y (c) -3 c Let x = -0.305 + -0.295. Which is the second biggest value? (a) 1/10 (b) 2/11 (c) x a Suppose -3*w = -6, -2*y + y - 4 = 3*w. Let s be y/20*2*(-3 - 0). Which is the biggest value? (a) s (b) -1 (c) -2 a Let h(n) = n**2 + 25*n + 154. Let g be h(-14). What is the second smallest value in -4, 1/7, g, -1? -1 Let p = -0.0895 - -2.0895. Let i = 3 - 2. Which is the smallest value? (a) i (b) -2/3 (c) p b Let x be ((-6)/84)/(((-5)/(-2))/5). Let o = -5.38 - -0.38. Let j = 2 - -1. Which is the smallest value? (a) j (b) x (c) o c Let y = -4.71 + -0.29. Which is the third smallest value? (a) y (b) 0 (c) -1/3 b Let f = -273 - -1912/7. Which is the third biggest value? (a) -89 (b) 5 (c) f a Let c = 1 - -7. Let y = c + -2. Let n be (12/(-12)*1/1)/3. What is the third smallest value in y, n, 0.2? y Let f = -1338.5 + 1338. What is the second biggest value in f, -5, -4, -31? -4 Let l = 3.83 - 3.8. Let r = -2.5 + 0.5. What is the second smallest value in -1/5, 3/8, r, l? -1/5 Let p = 8 - 5. Let y be p/(-2 + -1) + -3. Let r = 3539 - 3544. What is the third biggest value in 5, y, r? r Let q = -1.928 + 2.128. What is the second biggest value in q, 2, -0.07? q Let s = -3.12 - -0.12. Let j = 32.38 - 32.4. Which is the third biggest value? (a) 2/9 (b) j (c) s (d) 0 b Let q be (-29)/7 - ((-24)/1)/6. Which is the biggest value? (a) 2/5 (b) q (c) -5 (d) 4 d Let m = -1.98 + -0.02. Let q be (4/60)/((-33)/275*5). Which is the biggest value? (a) 2/3 (b) m (c) 1.2 (d) q c Let p = -4.52 - -11.52. What is the third biggest value in -2/9, p, -24, -2/7? -2/7 Let c = -319 - -223. Let x = 97 + c. What is the second smallest value in -1/7, 0.01, x? 0.01 Let n = 1543435/15582 - 5277/53. Let z = 2/147 + n. What is the fourth smallest value in -4, 2/11, z, 0.3? 0.3 Let y be 3/12*(45 - (0 - 7)). Which is the smallest value? (a) y (b) -0.3 (c) -2 (d) -5 d Let x = -192 - -191.6. Let o be 10/55 - (-678)/22. Which is the third smallest value? (a) o (b) x (c) -2 a Suppose 4*w + 0*w - p = 632, -338 = -2*w - 5*p. Let k be (w/(-36) + 4)*(-6)/(-20). What is the fourth smallest value in k, 0.4, -3, -4? 0.4 Let z = -1.2 - 3.8. Let v be 1208/2352 + (-3)/6. Let h = v + -445/294. What is the third biggest value in -0.5, h, z? z Suppose 6*u - 135 = 273. Let j = 56 - u. Which is the third biggest value? (a) -0.2 (b) -2 (c) j c Let m = 103 - 513/5. Suppose -a = 4*c - c + 4, -20 = c + 5*a. What is the biggest value in c, m, -0.3? m Suppose -p = 2*p - 6, -4*f = -5*p - 14. Suppose f*c - 24 + 0 = 0. Let a = -2 - -4. What is the third biggest value in c, 5, a? a Let u = 22 + -21.89. Let f = -0.01 + u. Let c = -1/211 - -1059/844. What is the third biggest value in -0.5, c, f? -0.5 Let w = -1.5 - 30.5. Let r = -36 - w. Which is the second smallest value? (a) -9 (b) r (c) -0.1 (d) 2/5 b Let s(f) = -f**3 + 6*f**2 - 4*f - 9. Let n be s(5). Let a be n/15 - (-10)/15. Let u be 2*((-63)/15 + 4). What is the third smallest value in -5, a, u? a Let j = -218.1 - -218. Let v = 27.78 - -0.22. Which is the second biggest value? (a) v (b) j (c) 1/4 c Let m = 2465 + -27113/11. Suppose 7*n - 2*n - 25 = 0. What is the second biggest value in m, n, -0.3, 1/9? m Le
{ "pile_set_name": "DM Mathematics" }
{d: 1, j: 1, w: 2, s: 1, e: 2, b: 1}. What is prob of sequence wb? 1/28 Calculate prob of sequence iu when two letters picked without replacement from eofoiuc. 1/42 Three letters picked without replacement from {e: 1, q: 4, l: 2, y: 1}. What is prob of sequence lyq? 1/42 Two letters picked without replacement from fcfeeffffececicfnetn. Give prob of sequence ee. 1/19 What is prob of sequence rbb when three letters picked without replacement from {b: 1, r: 1, g: 2, e: 2, y: 1, m: 1}? 0 Three letters picked without replacement from rrrrrmrrrrrrrrr. Give prob of sequence rrm. 1/15 Two letters picked without replacement from {x: 10, c: 10}. What is prob of sequence cx? 5/19 Two letters picked without replacement from {s: 3, o: 10, e: 2, q: 5}. What is prob of sequence os? 3/38 Calculate prob of sequence cc when two letters picked without replacement from vvcvvvcvvvv. 1/55 Calculate prob of sequence ni when two letters picked without replacement from {n: 6, i: 4}. 4/15 Two letters picked without replacement from jttpjnj. What is prob of sequence jp? 1/14 Calculate prob of sequence zzpz when four letters picked without replacement from {p: 2, z: 6}. 1/7 What is prob of sequence ew when two letters picked without replacement from wewwwwwwwwww? 1/12 Two letters picked without replacement from {v: 2, p: 3, t: 2, o: 4}. Give prob of sequence tt. 1/55 Calculate prob of sequence ggkv when four letters picked without replacement from {k: 13, v: 2, g: 3}. 13/6120 Two letters picked without replacement from wwpwwwwpwpphw. What is prob of sequence hp? 1/39 Calculate prob of sequence up when two letters picked without replacement from {p: 12, u: 1}. 1/13 Three letters picked without replacement from {u: 5, l: 4, h: 3}. What is prob of sequence lul? 1/22 Calculate prob of sequence wnfn when four letters picked without replacement from {w: 2, p: 2, f: 4, z: 1, d: 2, n: 4}. 4/1365 What is prob of sequence tx when two letters picked without replacement from dtdxxxdxxd? 1/18 Calculate prob of sequence mtm when three letters picked without replacement from tmtvmvvv. 1/84 Two letters picked without replacement from {o: 1, v: 5, w: 11, b: 1, j: 1, i: 1}. Give prob of sequence wo. 11/380 Three letters picked without replacement from {h: 2, k: 4}. Give prob of sequence hhk. 1/15 Two letters picked without replacement from vmomevvvveem. Give prob of sequence mv. 5/44 Two letters picked without replacement from {j: 2, e: 2}. Give prob of sequence je. 1/3 Calculate prob of sequence vvvq when four letters picked without replacement from {v: 17, q: 2}. 5/57 Three letters picked without replacement from {p: 1, n: 11, l: 6}. What is prob of sequence pnl? 11/816 Three letters picked without replacement from {r: 3, n: 5, p: 5}. What is prob of sequence nrp? 25/572 Calculate prob of sequence rr when two letters picked without replacement from {p: 3, w: 3, r: 7}. 7/26 Calculate prob of sequence ku when two letters picked without replacement from kddppkfdppkupp. 3/182 Calculate prob of sequence eeae when four letters picked without replacement from eeeeeaeeaee. 7/55 Calculate prob of sequence mmu when three letters picked without replacement from ovmvumummmuv. 1/22 Calculate prob of sequence uuf when three letters picked without replacement from vvvvuffuffffuuv. 12/455 Two letters picked without replacement from jrrurrupj. Give prob of sequence rp. 1/18 Three letters picked without replacement from {n: 4, h: 5, x: 7}. Give prob of sequence xnh. 1/24 Calculate prob of sequence uxzh when four letters picked without replacement from xjxzuxhxx. 5/3024 Three letters picked without replacement from {k: 3, a: 5, q: 3}. Give prob of sequence qqq. 1/165 What is prob of sequence ppii when four letters picked without replacement from wwwpwwwppiwi? 1/990 Three letters picked without replacement from {g: 2, i: 7, e: 1, d: 6, j: 1}. What is prob of sequence jie? 7/4080 Calculate prob of sequence cc when two letters picked without replacement from {c: 5}. 1 Two letters picked without replacement from {o: 2, h: 8}. Give prob of sequence oh. 8/45 Calculate prob of sequence yys when three letters picked without replacement from {l: 4, y: 3, a: 2, n: 2, s: 6}. 3/340 Calculate prob of sequence tnyc when four letters picked without replacement from tctktcckyynctynytck. 25/11628 What is prob of sequence iii when three letters picked without replacement from {v: 1, i: 3}? 1/4 Two letters picked without replacement from vvvvgggggvvvkvvggvv. What is prob of sequence kg? 7/342 Three letters picked without replacement from wwwmwmwwmwwwmwmmwwm. Give prob of sequence mmw. 28/323 What is prob of sequence dd when two letters picked without replacement from {d: 7, i: 7}? 3/13 What is prob of sequence lk when two letters picked without replacement from knlfg? 1/20 What is prob of sequence pknv when four letters picked without replacement from pipvkpn? 1/280 Two letters picked without replacement from zjaskjaazjzkazza. Give prob of sequence sj. 1/80 Two letters picked without replacement from dssdddsgdssgdpgvdp. What is prob of sequence dg? 7/102 Calculate prob of sequence ypl when three letters picked without replacement from llphplppplypflpppplp. 11/1140 What is prob of sequence cf when two letters picked without replacement from {c: 2, f: 4}? 4/15 What is prob of sequence mve when three letters picked without replacement from {v: 1, l: 1, n: 2, e: 2, b: 2, m: 1}? 1/252 Calculate prob of sequence ff when two letters picked without replacement from {f: 7, a: 6, c: 2}. 1/5 Calculate prob of sequence vthv when four letters picked without replacement from ttktviihivkhiivtkii. 1/1938 What is prob of sequence ox when two letters picked without replacement from {g: 1, x: 1, o: 4, z: 4, n: 1, h: 3}? 2/91 What is prob of sequence xk when two letters picked without replacement from {k: 1, x: 4, b: 1, o: 1, v: 1}? 1/14 What is prob of sequence cyc when three letters picked without replacement from {b: 1, y: 3, c: 5}? 5/42 Three letters picked without replacement from clgllcgclc. What is prob of sequence ccc? 1/30 Two letters picked without replacement from {t: 2, u: 3}. Give prob of sequence ut. 3/10 Calculate prob of sequence kk when two letters picked without replacement from qqqqqqqqkkqqqqkq. 1/40 Four letters picked without replacement from {z: 1, i: 3, k: 3}. Give prob of sequence iiiz. 1/140 Two letters picked without replacement from {s: 3, r: 5}. Give prob of sequence rr. 5/14 Calculate prob of sequence yyyy when four letters picked without replacement from {y: 6}. 1 Two letters picked without replacement from ggjgjgjwjogjggojo. Give prob of sequence jg. 21/136 Three letters picked without replacement from {o: 6}. Give prob of sequence ooo. 1 Two letters picked without replacement from ijfnx. What is prob of sequence fx? 1/20 Three letters picked without replacement from qmqqmqmqqqm. What is prob of sequence mqm? 14/165 Three letters picked without replacement from {t: 5, m: 1, c: 1, x: 1, v: 2, d: 3}. Give prob of sequence tvm. 5/858 What is prob of sequence qxi when three letters picked without replacement from {q: 1, i: 4, a: 1, x: 4}? 1/45 Four letters picked without replacement from {n: 1, w: 2, a: 1}. Give prob of sequence awwn. 1/12 Two letters picked without replacement from yyywywywwnw. What is prob of sequence wn? 1/22 What is prob of sequence crk when three letters picked without replacement from {r: 5, c: 2, k: 2}? 5/126 Two letters picked without replacement from uukskhuukhud. What is prob of sequence hd? 1/66 Calculate prob of sequence vxl when three letters picked without replacement from {x: 1, d: 4, v: 2, l: 1, h: 3}. 1/495 Calculate prob of sequence xx when two letters picked without replacement from {x: 9}. 1 What is prob of sequence mnat when four letters picked without replacement from tnmmta? 1/90 Calculate prob of sequence ll when two letters picked without replacement from ojxnllo. 1/21 Two letters picked without replacement from bbbbgbbbbbbbbbbbbb. Give prob of sequence gb. 1/18 Two letters picked without replacement from {k: 8, h: 1, o: 7, m: 2}. Give prob of sequence mm. 1/153 Two letters picked without replacement from gypwhwxyhpphxyxp. Give prob of sequence xy. 3/80 Two letters pick
{ "pile_set_name": "DM Mathematics" }
uming f is positive. f**(1/4) Simplify ((((x/(x*((x/((((x/(x/x**(-7)))/x)/x)/x*x))/x)/x))/x)/(x*x/(x**(-1)/x)*x))/(x**(-6))**(-33))**(-2/51) assuming x is positive. x**(424/51) Simplify (f**(2/5))**(-3/20)/(f**(2/5)*f**(-5))*((f/(f**(1/3)*f*f))/f*f*f**(1/2)*f*f*f)/(f**(-1))**5 assuming f is positive. f**(878/75) Simplify ((p*p**0*p)**(-47)*(p*p**(2/5)/p*p*p)**(-6/13))/((p**(-2/9))**(3/7)/(p**(-6)/p*p/(p**4*p*p))) assuming p is positive. p**(-146072/1365) Simplify ((((h*(h**(-2/3)/h*h)/h)/h)**(-1)*(h/((h*h**(-2/7))/h*h)*h)**18)**(-16/3))**(-9/2) assuming h is positive. h**(4168/7) Simplify ((y/((y**(-1/4)*y)/y))/y**(5/2))**25*(y**(-3)/y*y/(y**7*y))**31 assuming y is positive. y**(-1489/4) Simplify (u**25)**(-4/3)/((u**9*u)/u**(-4)) assuming u is positive. u**(-142/3) Simplify ((t/t**(-2/3))/t**(2/5))**27*(t*t/t**(-2/3)*t)**(11/5)*(t/t**(1/10))/t**(-6) assuming t is positive. t**(295/6) Simplify ((s/(s/(s**(2/7)/s)*s))**(-7/4)/(s**(2/5))**(28/5))/((s**1)**(-1/31)/((s/(s*s/(s**(-1/5)*s)*s*s))/s*s*(s/s**(-3/5))/s)) assuming s is positive. s**(-626/775) Simplify ((f**(-2/35)*f*f*((f*f**29*f*f)/f)/f)**(-7/3))**(4/11) assuming f is positive. f**(-4472/165) Simplify ((h*h**(1/4)*h)**45)**(-1/4)*((h/(h**1/h))/h)**23/(h/(h/h**(-2/13))*h**5) assuming h is positive. h**(-6273/208) Simplify ((d/d**(4/13))**10*(d*(d**(24/5)*d*d)/d*d)/d**24)**46 assuming d is positive. d**(-27738/65) Simplify ((r/(r/(r/r**10*r)))/r**(-2/7))**29*(r**1)**(-7/8)/(r**0/(r/(((r**(-2/3)/r*r)/r)/r))) assuming r is positive. r**(-37115/168) Simplify (g*g*g**(-3)*g/(g*g**0*g*g))**(-7/9)*(g*(g*g**(-4/7))/g*g)/((g*g**(-2/11)*g)/g)*g*g/g**(-1/3)*g**0*g assuming g is positive. g**(1450/231) Simplify (((s**(2/7)*s*s)/s)**(-1/10))**(-38)/(((s*s/((s/(s*s**1/s*s*s))/s))/s**(-6/11))/(s**(-1/3))**(-4/15)) assuming s is positive. s**(-1978/3465) Simplify ((a**(-1))**(-21/4))**(1/11)/((a**(-1))**(2/3)/((a*(a/(a*a*((a/(a/(a**(1/4)*a)))/a*a*a)/a*a))/a)/a)**(-19)) assuming a is positive. a**(5405/66) Simplify (v*v**17*v)**(-13)/(v**(-15)*v*v**(-22/5)*v) assuming v is positive. v**(-1148/5) Simplify (((f/(f*f/f**2))/f)/f*f*f**(-5/6)*f*(f**(2/7))**(3/38))/((((f**(2/17)*f)/f)/f**7)/(f/((f*f**1)/f))**30) assuming f is positive. f**(95933/13566) Simplify (((k**(2/5)/k)/k)**(-12))**27*((k/(k**(1/4)/k))**(-21))**(-13) assuming k is positive. k**(19923/20) Simplify (((t**(3/2)*t)/t*t**(-1)*t)/(t*t**(1/4)*t**(-2/13)*t))/(t/(t/t**(2/13))*((t**2*t)/t)/t)**(-11/3) assuming t is positive. t**(189/52) Simplify ((z**0*z)**(-9))**(-1/36)*((z/z**(-2))/z**(1/14))/((z/(z/(z*z**0))*z*z)/(z*z**(2/7)*z)) assuming z is positive. z**(69/28) Simplify (t**(1/3)*t)**(-1/41)*(t/(t/(t**0*t)))/((t/(t/((t/t**(-1))/t))*t)/t)*t**(-3)/t**(-1)*(t*t**(-1/3))**(5/6) assuming t is positive. t**(-545/369) Simplify (s/((s**(1/13)/s)/s)*s*s**0)**(-29)*s**(-8)/(s*s*s*s**(1/4)*s)*(s**(-3/8)*s)/(s**(-2/3)*s) assuming s is positive. s**(-39227/312) Simplify ((u/(u*u*u**(-1/3)/u))/u)**(-48)*(u/u**3)/u*u**3*(u**(-3)*u*u**2)**(1/6) assuming u is positive. u**32 Simplify ((y**(2/15)*(y*y**(-2)/y)/y)/(y**0)**(-35))/((y*y/(y**(3/4)*y)*y)**(-2/47))**(-31) assuming y is positive. y**(-6367/1410) Simplify ((p/(p/p**1)*p**(-4/5))/((p/(p**(-2/7)*p*p*p*p))/p*p*(p/(p*p/(p/(p*p**(2/7)))))/p))/((((p/(p**0/p))/p)/p)**(2/5))**11 assuming p is positive. p**(26/5) Simplify ((i**1)**(3/14))**(-2/71)*((((i**(-5)/i)/i)/i)/(i*i/i**(1/2)))**(-2/13) assuming i is positive. i**(9404/6461) Simplify ((n*n**(16/5))/(((n**(-9)/n)/n)/n)*(n/(n**16/n))**(-2/7))**24 assuming n is positive. n**(2424/5) Simplify (l**1*l*l*l*l**6)/((l*l**1)/l)**17*l**(-5/3)/(l/l**(1/6)*l)*(l/l**(-6))/(l*l/(l*l**(6/11)*l*l)*l) assuming l is positive. l**(-65/22) Simplify ((o*o*o/(o/(o/(o**(-10/7)/o*o)))*o)/((o*o*o**(-3/7)*o)/o))**(12/11)*(o**(2/11)*o*o**(3/5))/(o**(4/9)*o*o*(o**(5/6)/o*o*o)/o*o) assuming o is positive. o**(11863/6930) Simplify (q**(2/7))**(-11)*(q/(q*(((q*q/q**1)/q)/q)/q))**45*(((q**0*q*q)/q)**(-2/55))**25 assuming q is positive. q**(6618/77) Simplify ((y**0)**(-37))**(2/35)*((y/(y*y**(-1)/y))/y*y**(-2/19))/(y*(y/(y/(y/y**5)*y))/y*y**(3/8)) assuming y is positive. y**(839/152) Simplify (((w**1/w)**(2/43)/(w/(w*w*w*w/(w*w**(-3)))*w/((w*w**6*w)/w)))**11)**2 assuming w is positive. w**242 Simplify (l**(-6/5)*l**6*(l*l**31*l)**39)**(2/3) assuming l is positive. l**(4306/5) Simplify ((x**(2/7)/x)**(1/27))**(-40)*((x**(1/3))**(3/14))**(-9) assuming x is positive. x**(157/378) Simplify (r**(-1))**(-48)/(r/(r/(r/((r*r/r**1)/r)))*r*r**4)*(r**(-1/4))**34/((r*r*r**1/r)/r**(-3/5)) assuming r is positive. r**(309/10) Simplify (n*n**(-11)*n/n**(-12)*n*n*n**(-3/22)*n**12*n)**(-29) assuming n is positive. n**(-11397/22) Simplify (l**0/(l/(l**(-5)*l)))/((l**(5/2)/l*l)/(l*l*((l/(l*l**(4/3)*l))/l)/l))*(l*l*((l*l**5)/l)/l*l**2)**(3/29) assuming l is positive. l**(-1567/174) Simplify (p/(p**(-24)/p)*p*p**5*p/(p**(4/7)*p)*p/(p/(p/(p/p**(-2/7)*p))))**24 assuming p is positive. p**(5064/7) Simplify (j/j**(-5)*j/(j*j**0))**(1/12)/((j**(-1)*j)/j**(-2/5))**(-40) assuming j is positive. j**(33/2) Simplify ((p**(-6/5))**(32/7)/(p*p**(-7))**(-7/4))**(5/22) assuming p is positive. p**(-1119/308) Simplify (((((s*s**(-10))/s)/s)/s)/(s/(s**4/s)))**(19/2)*(s**(1/4))**(-2/23)*(s**(-2/5)*s)/(s*s**(-3)*s) assuming s is positive. s**(-21487/230) Simplify (((w*w**(1/4)/w)/((w*w**(2/7))/w))/(w**(2/11)/(((w/w**26)/w)/w)))**13 assuming w is positive. w**(-108979/308) Simplify ((a**(2/5))**(1/2))**(11/2)/(((a*a**4)/a*a*a)/a**(-3/2)*a**(-3)*a*a*a*a**6) assuming a is positive. a**(-62/5) Simplify ((h**18*(h**(-9)/h*h)/h)/((h**(-29)*h*h)/h**(-30)))**(1/12) assuming h is positive. h**(5/12) Simplify (g**(21/2))**(-29)/((g**(-32)*g)/g)**(2/87) assuming g is positive. g**(-52855/174) Simplify (t/t**(-6/7)*t)/t**(-1/3)*(t**(-2/7))**(2/21)*(t**(1/3))**18*((t**1/t)/t)**(-2/113) assuming t is positive. t**(50835/5537) Simplify ((c**(10/3)/(c*(c**25*c)/c*c))/(c**(-4/3)*c**(3/11)))**(1/5) assuming c is positive. c**(-746/165) Simplify (((u*(u*u/u**12*u)/u*u*(u*u*(u*u**(-8)*u)/u*u)/u)**10)**0)**(-2/85) assuming u is positive. 1 Simplify (a**(-6)/((a*a**(-1/3))/a))**(-2/5)/((a**(-1/15)/a)/a*a**7/a*a)**(-2/13) assuming a is positive. a**(118/39) Simplify (x*x/x**(2/29)*x*x*x**(-6)*x)**(-2/99)/(x**(1/5)/((x/(x/(x/x**0)))/x))**45 assuming x is positive. x**(-25777/2871) Simplify (g*((g**30/g)/g*g)/g)**(-2/85)/(g**(-42)/g**(4/17)) assuming g is positive. g**(3532/85) Simplify ((((p*p**6*p)/p**(-2/21))**(2/13))**(-3/35))**(5/12) assuming p is positive. p**(-85/1911) Simplify g*g**(-33)*g**(3/23)*(g/g**29)/(g*g**(-3)) assuming g is positive. g**(-1331/23) Simplify (m**(-2))**(-17)/((m/(m*m**4/m))/(m/m**(2/21)))*(m**4/m**(5/4))**(-21) assuming m is positive. m**(-1667/84) Simplify ((p*p**(-1))/p**1*p**5/(p/p**(-2)*p))/(p**(-3)*p**7)**7 assuming p is positive. p**(-28) Simplify (((f/f**2*f)**(-21/5)*(f/(f**(2/5)*f))**44)**(-6))**(-43) assuming f is positive. f**(-22704/5) Simplify c**41*c**(-4/19)*(c**(-2/7))**30 assuming c is positive. c**(4285/133) Simplify ((r/(r/((r/((r**(-1)*r)/r)*r)/r)))**(-1/28))**25/(r**(-3/8)*r*r**(1/8))**(-32/5) assuming r is positive. r**(211/70) Simplify (((((a/(a**(-2/7)/a))/a*a)/a)/(a*a/((a*a**8)/a*a)*a))/(a*a/(a**3/a))**(-2/15))**(-6/25) assuming a is positive. a**(-306/175) Simplify ((x**(-2/3)*x)/(x*x/(x*((x/(x/x**(1/2)*x))/x)/x*x)))**(-2/89)*(x*x/(x*x/x**(-1)*x))**(-5/2)*(x**(1/2))**(1/6) assuming x is positive. x**(1827/356) Simplify ((i/(i/i**(-31)))/(i/i**39))/(i**45*i**(1/7)*i) assuming i is positive. i**(-274/7) Simplify ((d**1)**(4/19))**1/(((((d**(-1)/d)/d)/d)/(d*(d**(-6)/d)/d*d))/((d/(d/d**(-2)))/(d/d**(-2/5)))) assuming d is positive. d**(-493/95) Simplify (((z**27*z*z)/z**17)**(-36))**32 assuming z is positive. z**(-13824) Simplify (r**(-6)*r/(r/(((r/(r/(r*r**(-2)/r)))/r)/r)))**7*((r/(r*r**3/r))**(-4/17))**(1/6) assuming r is positive. r**(-3566/51) Simplify ((g*g**15*g)**(1/34)/(g**(-1/14))**(-1))**7 assuming g is positive. g**3 Simplify (b*(b**5*b*b)/b*b*(b*(b*b**(-2/11))/b)/b*b*b)**18/((b**(3/4)/b*b**2)/(b**(-5)/b*b*b**0/b)) assuming b is positive. b**(7435/44) Simplify (j**(-2/7))**39*(j**(1/3))**(-40)*((j**(-1))**29)**35 assuming j is positive. j**(-21829/21) Simplify ((z*z/(z/(z*z/(z*z*z**
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from ttttxttxsttsxxst? 1/20 What is prob of sequence xg when two letters picked without replacement from {g: 1, x: 1, k: 2, t: 1, v: 1, w: 1}? 1/42 What is prob of sequence qeqb when four letters picked without replacement from {e: 7, q: 6, b: 2, w: 4, k: 1}? 7/1938 Two letters picked without replacement from upsrrrjrs. Give prob of sequence ru. 1/18 Two letters picked without replacement from vvgvvgvvvvggggvvvvv. What is prob of sequence gg? 5/57 Calculate prob of sequence eee when three letters picked without replacement from usuepuyu. 0 Calculate prob of sequence wbbw when four letters picked without replacement from bbbbww. 1/15 Calculate prob of sequence pd when two letters picked without replacement from {p: 1, d: 1, z: 2, h: 2}. 1/30 Two letters picked without replacement from moztrmzzzzpzmpt. What is prob of sequence zt? 2/35 Four letters picked without replacement from {x: 2, i: 8}. Give prob of sequence ixxi. 1/45 Four letters picked without replacement from moowa. What is prob of sequence amow? 1/60 Two letters picked without replacement from iiziivrrviimimimu. What is prob of sequence um? 3/272 Three letters picked without replacement from {c: 3, z: 5}. What is prob of sequence ccc? 1/56 Calculate prob of sequence vv when two letters picked without replacement from {v: 3, p: 1, e: 5}. 1/12 Calculate prob of sequence jf when two letters picked without replacement from {f: 1, x: 7, o: 2, j: 4, a: 4, c: 2}. 1/95 Four letters picked without replacement from {z: 6, w: 1, u: 3, x: 3, c: 1, r: 3}. Give prob of sequence zzcx. 3/1904 Calculate prob of sequence gg when two letters picked without replacement from ggggpgggpgp. 28/55 Two letters picked without replacement from vrdarkveevvk. Give prob of sequence ka. 1/66 Calculate prob of sequence irrr when four letters picked without replacement from rttrrir. 1/35 What is prob of sequence gffs when four letters picked without replacement from smfflgd? 1/420 Calculate prob of sequence eiii when four letters picked without replacement from eeiiiiieeeeiieiieee. 35/646 Four letters picked without replacement from {e: 5, k: 11}. What is prob of sequence kkee? 55/1092 Two letters picked without replacement from {p: 3, u: 5, a: 1}. What is prob of sequence pp? 1/12 Two letters picked without replacement from {s: 2, a: 5}. Give prob of sequence aa. 10/21 Three letters picked without replacement from {l: 1, v: 2, a: 1, z: 5}. What is prob of sequence avl? 1/252 Four letters picked without replacement from paaoznnaapwapaazzo. Give prob of sequence ozzw. 1/6120 What is prob of sequence vcc when three letters picked without replacement from cccnnavcccv? 2/33 Four letters picked without replacement from {l: 4, m: 4, f: 3}. What is prob of sequence mfff? 1/330 What is prob of sequence kji when three letters picked without replacement from kxihkikkijkkk? 7/572 Four letters picked without replacement from pxpx. What is prob of sequence pxpx? 1/6 Two letters picked without replacement from rfyllyfyylylylflylfl. What is prob of sequence yy? 21/190 Calculate prob of sequence fvr when three letters picked without replacement from {r: 1, x: 1, v: 2, s: 1, p: 1, f: 1}. 1/105 Calculate prob of sequence bbb when three letters picked without replacement from {b: 5}. 1 Calculate prob of sequence jiu when three letters picked without replacement from {u: 2, j: 1, i: 1, q: 4}. 1/168 What is prob of sequence hkk when three letters picked without replacement from {y: 3, f: 1, k: 2, h: 1}? 1/105 What is prob of sequence zcj when three letters picked without replacement from zjjjjjjcj? 1/72 Calculate prob of sequence mg when two letters picked without replacement from akghmaammcmagacamgc. 5/114 Calculate prob of sequence wfao when four letters picked without replacement from wafvffo. 1/280 Calculate prob of sequence zf when two letters picked without replacement from fzzzazaaffv. 6/55 Four letters picked without replacement from ggibblabgbgg. Give prob of sequence labb. 1/990 What is prob of sequence xlz when three letters picked without replacement from xlauxxxzlxxa? 1/110 Four letters picked without replacement from {f: 6, c: 12}. What is prob of sequence cccc? 11/68 Calculate prob of sequence phhp when four letters picked without replacement from {g: 4, h: 2, p: 5}. 1/198 Calculate prob of sequence nw when two letters picked without replacement from mowoxmknk. 1/72 Calculate prob of sequence zttt when four letters picked without replacement from {t: 3, z: 4}. 1/35 Two letters picked without replacement from xttxxxbxtp. What is prob of sequence tp? 1/30 What is prob of sequence sos when three letters picked without replacement from bussbuubou? 1/360 Calculate prob of sequence xfn when three letters picked without replacement from nednfnx. 1/70 Calculate prob of sequence djs when three letters picked without replacement from {h: 1, d: 1, u: 1, t: 2, j: 2, s: 2}. 1/126 Three letters picked without replacement from {c: 3, m: 10, a: 3, b: 2, q: 1}. What is prob of sequence aaq? 1/969 What is prob of sequence chci when four letters picked without replacement from ishnccc? 1/140 What is prob of sequence nmm when three letters picked without replacement from {n: 11, m: 2}? 1/78 What is prob of sequence ve when two letters picked without replacement from {z: 1, e: 1, f: 2, v: 2}? 1/15 Three letters picked without replacement from oommmaaoaaaoaa. Give prob of sequence mmo. 1/91 Calculate prob of sequence xggz when four letters picked without replacement from gggxxxxgzxinxzggg. 3/340 Calculate prob of sequence mmqs when four letters picked without replacement from {s: 1, z: 4, m: 3, q: 5, p: 1}. 5/4004 What is prob of sequence oi when two letters picked without replacement from {o: 1, g: 1, j: 7, i: 1, f: 9, y: 1}? 1/380 Three letters picked without replacement from qqqqqqqqqqvq. Give prob of sequence vqq. 1/12 What is prob of sequence mj when two letters picked without replacement from jmjfmjfjfjjj? 7/66 Four letters picked without replacement from {h: 4, i: 6, y: 5, e: 1}. What is prob of sequence yiyi? 5/364 Two letters picked without replacement from {m: 1, d: 5, w: 4}. Give prob of sequence dw. 2/9 What is prob of sequence xllx when four letters picked without replacement from llllllxx? 1/28 What is prob of sequence kxkh when four letters picked without replacement from rehkhexekrxkrhrkz? 3/2380 What is prob of sequence hhnt when four letters picked without replacement from {t: 7, n: 3, h: 9}? 21/1292 Four letters picked without replacement from {x: 5, y: 7}. Give prob of sequence xyxy. 7/99 What is prob of sequence fii when three letters picked without replacement from dipilfifpfp? 1/55 Three letters picked without replacement from {f: 3, p: 5, e: 2}. Give prob of sequence fpf. 1/24 Calculate prob of sequence au when two letters picked without replacement from urkkarerar. 1/45 Two letters picked without replacement from ecccccccecccec. Give prob of sequence cc. 55/91 Four letters picked without replacement from {a: 5, s: 1, i: 11, p: 3}. Give prob of sequence paaa. 1/646 Calculate prob of sequence qh when two letters picked without replacement from {q: 1, h: 1, p: 2}. 1/12 What is prob of sequence ooow when four letters picked without replacement from ooowowowwoo? 7/66 Four letters picked without replacement from pshhonpshghhs. What is prob of sequence sgno? 1/5720 What is prob of sequence hjuk when four letters picked without replacement from rkhrjksu? 1/840 Two letters picked without replacement from {w: 4, i: 15}. Give prob of sequence ww. 2/57 What is prob of sequence go when two letters picked without replacement from ogsoshhoshrhhohoo? 3/136 Calculate prob of sequence sk when two letters picked without replacement from skkkekkkkkkkkkkkkkk. 17/342 Calculate prob of sequence rcrc when four letters picked without replacement from cccrfff. 0 Calculate prob of sequence ttt when three letters picked without replacement from {t: 7, e: 9}. 1/16 Calculate prob of sequence bww when three letters picked without replacement from {b: 12, w: 6}. 5/68 Calculate prob of sequence qt when two letters picked without replacement from ottqqtqqooqoooqoo. 9/136 Calculate prob of sequence dm when two lett
{ "pile_set_name": "DM Mathematics" }
**3*z - d**2 - 60*z**2 wrt d? -294*z**2 + 36*z Find the second derivative of -2*n**2*o**2 + 249*n**2*o + 2*n*o**2 - 472*o**2 wrt n. -4*o**2 + 498*o What is the first derivative of c*d**3*x - 3*c*d*y + 14*c*x + 6*d**3*y + 15*d**3 + 2*d*x*y wrt c? d**3*x - 3*d*y + 14*x What is the second derivative of -360*m**3*o**4 + 1710*m**3 + 2*m**2*o**3 - m**2*o wrt o? -4320*m**3*o**2 + 12*m**2*o Find the third derivative of -2*o*w**3 + 13*o*w**2 + 30*o*w*y**2 + 30*w**3*y**3 + 8*w**3*y**2 - 2*y**3 wrt w. -12*o + 180*y**3 + 48*y**2 Find the second derivative of -40*d**5 + 9*d**4*v**3 + 1907*d*v**3 + v**3 wrt d. -800*d**3 + 108*d**2*v**3 What is the second derivative of 358*c**2*f**3 - 12*c*f**2 + 2*c + 2*f**3 wrt c? 716*f**3 Differentiate -4*k**3*w**3 + 16*k**2*w**3 - 28*w**3 wrt k. -12*k**2*w**3 + 32*k*w**3 Find the third derivative of 2*q*z**4 - 73*q*z**3 - 2*q*z**2 - 62*z**2 + 2 wrt z. 48*q*z - 438*q Find the first derivative of 420*r**4 - r**2 + 5*r - 2881. 1680*r**3 - 2*r + 5 What is the third derivative of 765*k**6 - 59*k**2 + 5*k wrt k? 91800*k**3 Find the third derivative of -l**4 - 194*l**3 + l**2 + 1152. -24*l - 1164 Find the third derivative of -13*d**3*p + 9*d**3 - 13*d**2 + d*p wrt d. -78*p + 54 Find the second derivative of -2*l**2 + 136*l wrt l. -4 What is the first derivative of 912*p**3*x + 1302*p**3 wrt x? 912*p**3 Find the second derivative of h**2*u**3 + 1197*h**2*u**2 + h**2*u + 487*h**2 + h wrt u. 6*h**2*u + 2394*h**2 Find the first derivative of 113*h*k*s - 4*h*k - h*s + 2*h wrt s. 113*h*k - h Find the third derivative of 291*x**4 - 2*x**3 - 17*x**2 + 3 wrt x. 6984*x - 12 What is the derivative of c**2*f - 3*c**2 + 574*c*f - 2*c - 70 wrt f? c**2 + 574*c What is the second derivative of 129*g**3 + g**2 - 67*g + 2? 774*g + 2 Differentiate -658*o + 308 wrt o. -658 What is the second derivative of h*r**3 - 1403*h*r - 1043*r**3 wrt r? 6*h*r - 6258*r Find the second derivative of 4*a**4*i**3*s**3 + 62*a**4*s + 4*a*i*s**2 + 7*i**3 - i*s**3 + 2*s**3 wrt a. 48*a**2*i**3*s**3 + 744*a**2*s Differentiate -809*c**4 + 467. -3236*c**3 What is the third derivative of -7*c**2*n**4 - c**2*n - 2*c*n**2 - 2*n**4 - 13*n wrt n? -168*c**2*n - 48*n Differentiate -1448*r*x*y**3 - 1211*r*y**3 - 2*r*y**2 with respect to x. -1448*r*y**3 Find the second derivative of -5*p**4*y + p**3*y + 19*p**2*y + 238*p*y wrt p. -60*p**2*y + 6*p*y + 38*y Find the third derivative of 2*d**2*k**3 - d**2*k**2*t**3 + 5*d**2*k*t**3 - 2*d*k**2*t - d*k*t**3 + 2*k**4*t**3 + 3*k**4 wrt k. 12*d**2 + 48*k*t**3 + 72*k Find the third derivative of -32*w**3 + 6*w**2 - 30 wrt w. -192 Find the third derivative of -3*s**2*w**4 + 2*s**2*w**2 + s**2*w + 5*s + 57*w**4 wrt w. -72*s**2*w + 1368*w What is the second derivative of -2*k**3*r**2 - 112*k**3*r - 37*r**2 + 5 wrt r? -4*k**3 - 74 Find the third derivative of 65*a*r*x**4 + 2*a*r*x - 7*r*x**4 - 4*r*x**2 - 73*r wrt x. 1560*a*r*x - 168*r*x What is the third derivative of f**3*s*u**2 - 4*f**3*s*u + f**2*s*u - f**2*u + 2*f**2 + 9*u**2 wrt f? 6*s*u**2 - 24*s*u Find the third derivative of 38*h**5 - 175*h**4 - h**3 + h**2 + 273. 2280*h**2 - 4200*h - 6 Find the third derivative of 48*d**4 - d**3 - 147*d**2 wrt d. 1152*d - 6 What is the second derivative of 9042*c**2 - 5494*c wrt c? 18084 Find the second derivative of 74*d**2*j**3 - 59*d**2 - 389*d*j**2 + 12*j**3 - 2*j**2 wrt d. 148*j**3 - 118 What is the third derivative of 2*a**3*h**2*i*j + 2571*a**3*h*i*j - a**2*i*j + 26*a*h*j + 6*a*i*j - 2*h**2*j wrt a? 12*h**2*i*j + 15426*h*i*j Differentiate -2*g*h**3 - 386*g*h - 359*g - 2*h**3 - 2 with respect to h. -6*g*h**2 - 386*g - 6*h**2 Find the first derivative of -2257*u - 2214 wrt u. -2257 Find the first derivative of s**2 - 96*s + 1223. 2*s - 96 Find the third derivative of 2441*w**6 + 3*w**2 + 23*w + 2 wrt w. 292920*w**3 Find the third derivative of -36*x**4 + 2*x**3 - 186*x**2. -864*x + 12 What is the second derivative of 64*f**3 + 5*f**2 + 185*f + 1? 384*f + 10 Find the first derivative of 742*a**2*h + h + 48 wrt a. 1484*a*h What is the first derivative of 6*b*t**2 + b*t - 123*b + 37*t**2 + t + 1 wrt t? 12*b*t + b + 74*t + 1 Find the first derivative of -494*l*q**2 + 372*q**2 wrt l. -494*q**2 What is the second derivative of -536*y**4 - 2*y**3 + 2774*y wrt y? -6432*y**2 - 12*y What is the second derivative of 10915*n**3 + 681*n + 2? 65490*n What is the derivative of 113*b**2*z**2 + 2*b**2*z + 4*z**2 wrt b? 226*b*z**2 + 4*b*z What is the third derivative of 3647*v**6 - 7*v**2 - 10*v - 2 wrt v? 437640*v**3 Find the third derivative of 5425*d**4 + d**3 + d**2 - 6357*d wrt d. 130200*d + 6 Differentiate 95*k**4*t**2 + 158*t**2 wrt k. 380*k**3*t**2 What is the second derivative of 14*b*c**2*q**2*z**2 - 2*b*c*z**2 + 2*b*q**2*z**2 + 2*b*q**2 + 2*b*q*z + 152*c**2*q*z - 233*c*q*z**2 - 4*z**2 wrt c? 28*b*q**2*z**2 + 304*q*z Differentiate -h**3*n**3 + 2*h**3 - n**4 - 296*n**2 + 5127 with respect to n. -3*h**3*n**2 - 4*n**3 - 592*n Find the first derivative of 217*o**3*w*x**2 - o**3*w + 15*o**3 + 133*o + 2*w*x**2 wrt x. 434*o**3*w*x + 4*w*x What is the second derivative of 45*d**3*s**2 - d**3 - 64*d**2*s**4 + 8929*d**2*s wrt s? 90*d**3 - 768*d**2*s**2 What is the third derivative of 2*k**5 - 31*k**4*p - 27*k**3*p - 2*k**2*p - 92*k**2 wrt k? 120*k**2 - 744*k*p - 162*p Find the second derivative of 4804*h**5*n**3 - 5*h*n**2 - 282*n**3 wrt h. 96080*h**3*n**3 Find the third derivative of 522*a**6 + a**4 + 223*a**2 - a. 62640*a**3 + 24*a What is the second derivative of -157*b*n**2 - 28*b - 2*n wrt n? -314*b Find the first derivative of 8*b**3*d + 2*b**2*d - b*d - 4*d - 2 wrt b. 24*b**2*d + 4*b*d - d What is the second derivative of -191*x*z**2 - x*z + 2*x + 3*z wrt z? -382*x Find the first derivative of 1027*o - 1141. 1027 What is the first derivative of 201*y**2 + 4*y + 2576? 402*y + 4 What is the first derivative of -1412*v**4 - 1112? -5648*v**3 Find the first derivative of 4*j**4 - 939*j**2 + 29302 wrt j. 16*j**3 - 1878*j What is the second derivative of 11*s**5 - 9*s**2 + 113*s wrt s? 220*s**3 - 18 What is the second derivative of -500*z**5 - 439*z wrt z? -10000*z**3 What is the derivative of -253*m - 193 wrt m? -253 Differentiate -2*q**4 + q**3*t + 1262*q**2*t - 101*t wrt q. -8*q**3 + 3*q**2*t + 2524*q*t What is the derivative of -21*c**2*p - 6*p + 25 wrt c? -42*c*p Differentiate -2*d*k**4 - 4*d - 29*k**2 + 52 wrt k. -8*d*k**3 - 58*k Differentiate 6*a*b*l - 2*a*b*o + 899*a*o + 2*b*l + b*o + 38*l + 19*o with respect to a. 6*b*l - 2*b*o + 899*o Find the first derivative of -2814*m**2 + 434. -5628*m What is the third derivative of 8*n**3*o**3 - n**3*o**2 + 4*n**2*o**3 + 6*n**2*o**2 wrt n? 48*o**3 - 6*o**2 What is the third derivative of -3400*m**3*s**3 + 3*m**3*s**2 + 171*s**2 wrt s? -20400*m**3 What is the third derivative of 1878*k**6 - 2146*k**2? 225360*k**3 Find the third derivative of 45*a**5 - a**4 + 126*a**2 wrt a. 2700*a**2 - 24*a What is the second derivative of 4*c**3*n**2 - c**3*n + 7*c**2*n - 10*c*n**2 - 2*c wrt n? 8*c**3 - 20*c Find the third derivative of 632*i**3 + 1305*i**2 wrt i. 3792 What is the second derivative of 209*a**2*i*y**2 - 2*a**2*i*y + a**2*y**2 + 385*a**2 + a*i*y wrt y? 418*a**2*i + 2*a**2 What is the third derivative of -138*p**6 - p**4 - 6*p**2 - 16 wrt p? -16560*p**3 - 24*p Find the third derivative of -552*f**3 + 7*f**2 + 1. -3312 What is the third derivative of -p**6 - 3366*p**5*w**3 + p**2*w**2 + 2*p**2 - 2*p + 4*w**3 wrt p? -120*p**3 - 201960*p**2*w**3 Differentiate -17*p**2 - 2*p*w**3 + p*w + 71*p + 3*w**3 + 830*w**2 with respect to p. -34*p - 2*w**3 + w + 71 Find the first derivative of -10*a**2*k - 149*a**2 - 3*a*k**2 wrt k. -10*a**2 - 6*a*k Find the third derivative of -783*h**6 + 3*h**2 - 39. -93960*h**3 Find the third derivative of 2*a**2*k**2*m**3 + a**2*m + 96*a*k**2*m**3 - a*k**2 - 20*a*m**2 wrt m. 12*a**2*k**2 + 576*a*k**2 Differentiate 5*l**3*z - 2*l**3 + 11*l*z - 1317*z wrt l. 15*l**2*z - 6*l**2 + 11*z Differentiate 3*d**3*m**3*t + 15*d**3*m**2 - 4*d*m**3 + m**3*t - 4*m**2*t wrt t. 3*d**3*m**3 + m**3 - 4*m**2 Find the second derivative of 79*b**5 - b + 217. 1580*b**3 Find the third derivative of 2*g*s**4 - 11*g*s**3 + 3*g*s**2 + 12*g wrt s. 48*g*s - 66*g What is the derivative of -63*a**2*g*t + 1999*a**2*g - 3*g
{ "pile_set_name": "DM Mathematics" }
x is positive. x**(-1/375) Simplify x**(8/11)*x**(-3)*x*(x/(x/(x**(-5)*x)))**(10/7) assuming x is positive. x**(-538/77) Simplify (y/y**(-2/3)*((y*y/(y*y**(1/17)*y))/y*y)/y)**12 assuming y is positive. y**(124/17) Simplify (m/m**(-11)*m*m*(m*m**(-2/27))/m*m)/(m**(3/7)/m**(1/15)) assuming m is positive. m**(13763/945) Simplify (h**(13/5)*h*h/(h/h**(5/7)))/(h**(-4))**(8/5) assuming h is positive. h**(75/7) Simplify ((((k**(1/22)*k)/k)**(27/7))**(-36/11))**(-2/15) assuming k is positive. k**(324/4235) Simplify p**(-7)/((p*p*p**(3/2)*p*p)/p)*p**(7/8)/p**(-2/11) assuming p is positive. p**(-919/88) Simplify b**(-2)*b/(b*b*b**(2/25)*b*b)*(b**(2/7)*b)**(22/5) assuming b is positive. b**(101/175) Simplify ((d**5/(d/d**(-1/3)))/(d*d/(d**5*d)*d/d**7*d*d))**(-11) assuming d is positive. d**(-385/3) Simplify (r*r**(-2/5)*r)/r**10*r/(r**8/r)*r*r/r**2 assuming r is positive. r**(-72/5) Simplify (k*k**6*k**6)/(k/(k*(k**(-21)/k)/k*k)*k**(-11/6)) assuming k is positive. k**(-43/6) Simplify (w*w/w**(-24)*w)**24*(w**(13/2))**(-1/4) assuming w is positive. w**(5171/8) Simplify (g**(-1/6))**(-2/9)/((g**(7/2)*g)/g)**(1/41) assuming g is positive. g**(-107/2214) Simplify (((z*((z**(-1/4)/z)/z)/z)/z*z*z**(-6))**(1/35))**(-22) assuming z is positive. z**(363/70) Simplify (y/(y*y**(-8)*y))/(y*y*y/(y*y**(3/23)))*y**(-12)*y**(4/5)/y assuming y is positive. y**(-813/115) Simplify (t**(-1/5)/t*t)**(-2/13)*((t**(-12)/t)/t)/(t**(-3/7)*t*t) assuming t is positive. t**(-7071/455) Simplify t**(1/12)*(t/t**0)/t*t*t/(t/(t**(-9)/t))*t*t/((t/(t*t**(-5)))/t) assuming t is positive. t**(-131/12) Simplify (x*x/(x*x*x/(x*x**(17/4)*x*x*x)*x*x)*x)**(3/8)*x*x**(-25)*x**(-1)/x assuming x is positive. x**(-757/32) Simplify ((n**(-11)*n)/n*n*n*n)/n*(n*n/n**5*n)/n*(n**(-1))**(-27) assuming n is positive. n**15 Simplify ((h/h**(4/5))**(-48))**(-28) assuming h is positive. h**(1344/5) Simplify (n*n*n**(-3)/n*n*n*n)**38*(n*n**(-1/11)*n)/(n**5*n) assuming n is positive. n**(373/11) Simplify (i**(-1/2)*i**7*i*(i/((i*(((i/(i**(1/2)*i))/i)/i*i)/i)/i))**29)**(-4) assuming i is positive. i**(-436) Simplify (v**(5/2)/v**(-6/5))/(v**(-11)/(v/(v/v**(-2/17)))) assuming v is positive. v**(2479/170) Simplify (((p/(p*p*p**(-5)/p*p*p))/p**(-1))/(p**(-1))**(-1/36))**(-27/4) assuming p is positive. p**(-429/16) Simplify (k**(2/29)/(k/(k*k*k*k**(1/3)*k)))/(k*k**2/k*k**(-5/7)/k*k*k*k) assuming k is positive. k**(71/609) Simplify ((b**(-1)*b)**(2/5)*(b**(-2))**(-42))**47 assuming b is positive. b**3948 Simplify (a*(a/(a*a**(1/7)))/a)**41*a**(-13)*(a**(-9)/a)/a assuming a is positive. a**(-209/7) Simplify j**(2/25)*j*(j**(1/30)*j*j)/j*(j*(j/(j*j*j**(-10)*j))/j*j)**(30/11) assuming j is positive. j**(43987/1650) Simplify ((g*(g*g**(1/6)*g*g)/g)**(-6)*(g**(2/23)/g*g)/(g**(-1/4)/g))**(-11/6) assuming g is positive. g**(17875/552) Simplify (((l**(-3/5)*l*l)/l)/(l*l**(3/2)*l)*(l**(-2))**22)**(-13) assuming l is positive. l**(6123/10) Simplify ((o/o**(2/7))/o*o**(-2)*(o**(-1/6)*o*o)/o**8)**(-3/2) assuming o is positive. o**(355/28) Simplify c/c**(-14)*c**7*c**(-1/4)/(c*((c*c**13*c)/c)/c) assuming c is positive. c**(31/4) Simplify (i**3*i)**(-49)*(i**(-1/5))**(-2/43) assuming i is positive. i**(-42138/215) Simplify (y**(-23/5)/y**(2/3))/((y/((y**(-4)/y)/y))/(y/(y**14*y))) assuming y is positive. y**(-394/15) Simplify (l*l*((l**3*l)/l)/l)**(2/61)/(((l/(l*(l/(l**(-2/3)*l))/l))/l)/(l*l*l**(1/2))) assuming l is positive. l**(1207/366) Simplify ((t**(-41))**(-15/11))**3 assuming t is positive. t**(1845/11) Simplify (((a/(a**(-1/3)/a))/a)/a)**(-50)*a*a**12*a/a**(-8/9) assuming a is positive. a**(-16/9) Simplify (a**(2/23))**(-21/8)*a/(a**12/a*a*a)*a**(3/8) assuming a is positive. a**(-2181/184) Simplify h**(-3/10)*h*(h**(-11)/h*h)/h*h**(1/2)/(h*((h/h**(7/5))/h)/h) assuming h is positive. h**(-47/5) Simplify (l**0/l*l/l**(-1/5))/(l**(3/5))**(2/7) assuming l is positive. l**(1/35) Simplify ((v**11/v)/(v**(3/2)*v)*(v/v**(1/4)*v)**(-9/2))**5 assuming v is positive. v**(-15/8) Simplify h/(h*h*h**(4/7))*h*h**(-18)*h*h*(h/((h/h**(-1/9))/h))**(-2/23) assuming h is positive. h**(-24124/1449) Simplify (((o/(((o*(o/(o/(o/(o/(o**(1/2)*o)))))/o)/o*o*o)/o))**(-13/2))**(-2/23))**(7/11) assuming o is positive. o**(-91/506) Simplify ((z**(5/8)*z*z*(z**(-8/9)*z)/z)**(2/97))**(-42) assuming z is positive. z**(-875/582) Simplify ((l*l**0*l/(l*l**(-4/3)*l*l))/((l/l**5)/l**8))**20 assuming l is positive. l**(740/3) Simplify (h/h**(-1/2)*h)**(-7)/(h*h/(h**1/h))**(-10/3) assuming h is positive. h**(-65/6) Simplify (t/t**(2/3))/(t/(t**(1/8)*t))*t**(-2/37)*t*t*t/((t*t/t**5)/t) assuming t is positive. t**(6575/888) Simplify (v/(v**(-4/7)/v)*v**(8/3)*v)/(v**(-2)/(v/(v*v**(1/2)))) assuming v is positive. v**(325/42) Simplify ((w**(-1))**(10/7)/(((w*w**(-5/4)*w)/w*w)/w**(-4)))**(1/51) assuming w is positive. w**(-173/1428) Simplify (b**(2/23)*b)/(b*b/b**(-3)*b)*b/(b/(b*b**(-2/21)))*(b**(-2/15)*b)/b assuming b is positive. b**(-3334/805) Simplify m**(-4/9)*m**1*m/(m**(6/11)*m)*m*m/(m/((m/(m/m**(-3/10)))/m*m)*m) assuming m is positive. m**(-287/990) Simplify ((d**35/d)/d**9)**46 assuming d is positive. d**1150 Simplify ((j*j/(j*j**(-1/10)*j*j)*j**(-5/6)*j)**25)**(-37) assuming j is positive. j**(2035/3) Simplify (w*w*w**24*w)/w**(-11)*w/w**(1/3)*w**6*w assuming w is positive. w**(137/3) Simplify ((((r*r*((r*(((r**36*r)/r)/r)/r)/r*r)/r)/r*r)/r)**45)**(-21) assuming r is positive. r**(-33075) Simplify (z/((z**(-18)*z)/z*z)*z**(-34))/(z**(-19/5))**(-2/35) assuming z is positive. z**(-2838/175) Simplify (((d*d*(d*d**(-2/5))/d)**26)**20)**(-13) assuming d is positive. d**(-10816) Simplify ((d**15*d)/(d*d**16))/(d**14/(d*d*d/d**(1/3))) assuming d is positive. d**(-37/3) Simplify ((w**(5/2)*w*w*w*w/(w*w**12))**46)**22 assuming w is positive. w**(-6578) Simplify m**6*m**(4/13)*m**1*m/(m/m**21) assuming m is positive. m**(368/13) Simplify ((a**(-2))**(1/14))**7 assuming a is positive. 1/a Simplify (n**(-2/11)/n**9*(n/(n**(4/11)*n))/(n/((n**(3/4)/n)/n)))**(-3/7) assuming n is positive. n**(1557/308) Simplify ((h/h**(2/7))/h**(-15))**(-31) assuming h is positive. h**(-3410/7) Simplify q*q/(q*q*q**(10/9)*q)*q*q/q**30*q*q**(5/12)*q*q**25 assuming q is positive. q**(-97/36) Simplify ((x*x/(x**(-2/5)/x)*x)/x*x**(4/17))/(x*x/x**(-9)*x*x**(-2/3)) assuming x is positive. x**(-1963/255) Simplify (n**(-10)*n**(2/27))/(n**(-7)*n*n*n**4*n) assuming n is positive. n**(-268/27) Simplify ((c*c**(-32))**(20/3))**(-1) assuming c is positive. c**(620/3) Simplify (d/(d*(d/((d**1*d)/d))/d*d)*d)**(-36)/((((d*(d/(d/(d**(-15)/d)))/d*d*d)/d*d)/d)/d**(-10)) assuming d is positive. d**(-31) Simplify (j**21/((j**(-1/13)/j)/j))/((j/(j**(1/11)/j))/j**7) assuming j is positive. j**(4028/143) Simplify (i**2*i)**29/(((i*i**(-1/10)/i)/i)/i**5) assuming i is positive. i**(931/10) Simplify (r/(r/r**(-3/2)))**(-11)*r*r**(-13)*r*r**8/r assuming r is positive. r**(25/2) Simplify ((n**(-4)*n)/((n**(15/2)*n)/n*n))**(-9/2) assuming n is positive. n**(207/4) Simplify (r**(1/7))**(2/31)*((r*r**2)/r)/((((r*r**8*r)/r)/r)/r*r*r) assuming r is positive. r**(-1517/217) Simplify q/(q*q/(((q**39/q)/q)/q))*q*q*q**33*q*q**(19/6)*((q**(-1/17)*q)/q)/q*q assuming q is positive. q**(7559/102) Simplify ((l/l**(-9))/(l**(-10)/l)*l**(-3)*l*l*l**(2/7))**12 assuming l is positive. l**(1704/7) Simplify v/v**(-11/6)*v**(-29)*v**(-19)*v*v*v*v**(-4/11)*v*v assuming v is positive. v**(-2675/66) Simplify ((h/(h*h**(2/3))*h*h)/(h/((h**(-2/5)/h)/h)))/(h**(2/25)*((h/h**(-13))/h)/h) assuming h is positive. h**(-1061/75) Simplify ((p**(-7)*p**(-5)/p)**(-1/5))**(4/39) assuming p is positive. p**(4/15) Simplify (r**1*r)**(-18)/(r/(r/r**(-4)*r))**(-15/7) assuming r is positive. r**(-327/7) Simplify ((u*u**(-2/9)*u)/u*u)**(-3)/(((u/((u*(u*u**37*u)/u*u*u)/u*u)*u*u)/u)/u**(-12)) assuming u is positive. u**(65/3) Simplify (j/j**(-1/10)*j**(9/2)*j*j*j)/((j**(-1/8)*j*j)/(j*j/(j**(-5)*j)*j)) assuming j is positive. j**(549/40) Simplify ((h/((h*h/h**(-36))/h))/h**(-2/3))/((h*h/(h/(h**(-2)*h*h)))/(h/h**(-21/5))) assuming h is positive. h**(-467/15) Simplify i**(2/11)*i**(-8)*(((i**(-1/4)/i*i)/i*i)/i)**50 assuming i is positive. i**(-1547/22) Simplify (k**(-13)/(k*k**(-1/2)))**(-3) assuming k is positive. k**(81/2) Simplify d**(-12/11)/((d/(d**(1/
{ "pile_set_name": "DM Mathematics" }
64 How many minutes are there between 2:18 PM and 1:51 AM? 693 How many minutes are there between 6:35 AM and 11:24 AM? 289 How many minutes are there between 12:16 PM and 7:26 PM? 430 How many minutes are there between 1:29 AM and 11:05 AM? 576 What is 691 minutes after 10:38 PM? 10:09 AM What is 38 minutes before 9:06 AM? 8:28 AM How many minutes are there between 12:24 PM and 2:30 PM? 126 What is 217 minutes after 2:06 PM? 5:43 PM What is 194 minutes before 4:06 PM? 12:52 PM How many minutes are there between 1:50 PM and 1:22 AM? 692 How many minutes are there between 2:27 PM and 12:23 AM? 596 How many minutes are there between 4:16 AM and 11:59 AM? 463 What is 155 minutes before 8:48 PM? 6:13 PM How many minutes are there between 1:30 PM and 12:04 AM? 634 How many minutes are there between 5:40 PM and 7:40 PM? 120 How many minutes are there between 6:37 AM and 4:32 PM? 595 What is 176 minutes after 11:32 AM? 2:28 PM How many minutes are there between 3:01 AM and 11:11 AM? 490 How many minutes are there between 9:36 AM and 9:48 AM? 12 What is 283 minutes after 12:11 PM? 4:54 PM How many minutes are there between 8:34 PM and 6:22 AM? 588 What is 501 minutes after 12:34 AM? 8:55 AM What is 50 minutes after 4:25 AM? 5:15 AM What is 246 minutes before 12:59 AM? 8:53 PM What is 39 minutes after 4:56 AM? 5:35 AM What is 700 minutes after 4:35 PM? 4:15 AM What is 552 minutes before 2:17 AM? 5:05 PM What is 152 minutes before 12:52 AM? 10:20 PM What is 6 minutes before 10:50 PM? 10:44 PM What is 700 minutes before 1:12 PM? 1:32 AM How many minutes are there between 9:05 AM and 10:05 AM? 60 What is 197 minutes after 4:21 PM? 7:38 PM What is 578 minutes before 2:43 AM? 5:05 PM How many minutes are there between 9:24 PM and 6:40 AM? 556 What is 144 minutes after 7:29 AM? 9:53 AM What is 154 minutes after 6:43 PM? 9:17 PM How many minutes are there between 12:14 PM and 5:14 PM? 300 How many minutes are there between 5:18 PM and 5:56 PM? 38 How many minutes are there between 3:14 PM and 9:25 PM? 371 How many minutes are there between 6:19 PM and 8:47 PM? 148 How many minutes are there between 8:59 PM and 6:12 AM? 553 How many minutes are there between 12:45 AM and 4:28 AM? 223 What is 184 minutes after 5:49 AM? 8:53 AM What is 11 minutes after 10:27 PM? 10:38 PM How many minutes are there between 8:46 PM and 1:38 AM? 292 How many minutes are there between 7:25 AM and 2:09 PM? 404 How many minutes are there between 5:24 AM and 5:01 PM? 697 How many minutes are there between 2:17 PM and 7:34 PM? 317 How many minutes are there between 4:57 PM and 7:07 PM? 130 How many minutes are there between 2:29 PM and 9:14 PM? 405 What is 317 minutes before 12:25 PM? 7:08 AM How many minutes are there between 8:33 PM and 11:06 PM? 153 How many minutes are there between 6:42 PM and 1:13 AM? 391 How many minutes are there between 7:17 AM and 9:18 AM? 121 How many minutes are there between 5:52 AM and 2:29 PM? 517 How many minutes are there between 10:12 AM and 3:15 PM? 303 How many minutes are there between 4:05 PM and 2:46 AM? 641 How many minutes are there between 5:41 PM and 6:32 PM? 51 How many minutes are there between 3:20 PM and 11:10 PM? 470 What is 454 minutes after 10:41 AM? 6:15 PM What is 703 minutes after 3:22 AM? 3:05 PM How many minutes are there between 8:11 AM and 10:08 AM? 117 How many minutes are there between 6:26 PM and 5:10 AM? 644 How many minutes are there between 9:24 PM and 2:39 AM? 315 What is 662 minutes after 9:56 PM? 8:58 AM What is 524 minutes before 4:21 PM? 7:37 AM What is 588 minutes after 10:16 PM? 8:04 AM How many minutes are there between 11:17 PM and 12:20 AM? 63 What is 360 minutes after 1:13 PM? 7:13 PM What is 211 minutes after 1:38 PM? 5:09 PM How many minutes are there between 6:40 AM and 10:51 AM? 251 How many minutes are there between 9:26 PM and 4:06 AM? 400 How many minutes are there between 2:25 AM and 12:53 PM? 628 How many minutes are there between 2:31 PM and 1:02 AM? 631 How many minutes are there between 11:38 AM and 10:39 PM? 661 How many minutes are there between 8:17 PM and 11:03 PM? 166 How many minutes are there between 3:59 PM and 3:18 AM? 679 What is 223 minutes after 9:39 AM? 1:22 PM How many minutes are there between 2:23 AM and 12:40 PM? 617 What is 670 minutes before 1:59 AM? 2:49 PM How many minutes are there between 2:08 AM and 5:39 AM? 211 How many minutes are there between 7:30 PM and 12:30 AM? 300 How many minutes are there between 5:39 PM and 1:03 AM? 444 How many minutes are there between 7:12 AM and 2:35 PM? 443 How many minutes are there between 4:52 PM and 1:20 AM? 508 How many minutes are there between 6:19 AM and 7:21 AM? 62 What is 539 minutes before 1:18 PM? 4:19 AM How many minutes are there between 1:33 AM and 7:44 AM? 371 What is 19 minutes before 1:30 PM? 1:11 PM How many minutes are there between 4:08 PM and 2:24 AM? 616 How many minutes are there between 8:50 PM and 4:42 AM? 472 How many minutes are there between 1:05 PM and 8:28 PM? 443 How many minutes are there between 4:04 PM and 6:44 PM? 160 What is 136 minutes after 3:03 PM? 5:19 PM What is 184 minutes after 7:53 AM? 10:57 AM How many minutes are there between 9:02 PM and 7:09 AM? 607 How many minutes are there between 11:22 AM and 9:40 PM? 618 What is 690 minutes before 4:06 AM? 4:36 PM How many minutes are there between 3:32 PM and 6:23 PM? 171 What is 387 minutes after 10:15 PM? 4:42 AM What is 296 minutes before 3:47 PM? 10:51 AM How many minutes are there between 5:44 AM and 1:37 PM? 473 What is 331 minutes before 3:46 PM? 10:15 AM What is 33 minutes after 2:03 AM? 2:36 AM How many minutes are there between 9:43 AM and 4:46 PM? 423 What is 528 minutes after 11:37 AM? 8:25 PM How many minutes are there between 2:58 AM and 10:10 AM? 432 What is 423 minutes after 5:25 PM? 12:28 AM How many minutes are there between 3:55 PM and 10:56 PM? 421 What is 88 minutes after 3:03 AM? 4:31 AM What is 155 minutes after 7:41 PM? 10:16 PM What is 324 minutes before 3:31 PM? 10:07 AM What is 702 minutes after 12:36 AM? 12:18 PM How many minutes are there between 12:18 AM and 1:08 AM? 50 How many minutes are there between 6:45 PM and 3:06 AM? 501 What is 332 minutes after 1:33 PM? 7:05 PM What is 115 minutes after 12:39 PM? 2:34 PM How many minutes are there between 11:10 PM and 9:28 AM? 618 How many minutes are there between 12:59 PM and 1:34 PM? 35 What is 616 minutes before 3:59 AM? 5:43 PM What is 528 minutes before 5:13 AM? 8:25 PM What is 623 minutes after 6:13 PM? 4:36 AM What is 376 minutes before 12:55 PM? 6:39 AM What is 394 minutes before 3:48 PM? 9:14 AM How many minutes are there between 5:20 PM and 6:04 PM? 44 What is 445 minutes before 4:09 PM? 8:44 AM What is 353 minutes before 2:35 AM? 8:42 PM What is 38 minutes after 4:18 PM? 4:56 PM What is 186 minutes before 9:41 PM? 6:35 PM How many minutes are there between 9:56 PM and 9:36 AM? 700 How many minutes are there between 12:23 AM and 2:59 AM? 156 What is 709 minutes before 5:34 PM? 5:45 AM What is 700 minutes after 12:42 PM? 12:22 AM How many minutes are there between 5:30 PM and 4:51 AM? 681 How many minutes are there between 2:13 AM and 2:15 AM? 2 What is 532 minutes after 3:46 AM? 12:38 PM How many minutes are there between 12:40 PM and 10:04 PM? 564 What is 547 minutes after 1:37 PM? 10:44 PM What is 121 minutes after 11:12 AM? 1:13 PM How many minutes are there between 4:32 PM and 12:37 AM? 485 What is 27 minutes after 12:12 PM? 12:39 PM What is 448 minutes before 7:42 PM? 12:14 PM What is 324 minutes after 5:02 PM? 10:26 PM What is 173 minutes before 8:27 PM? 5:34 PM How many minutes are there between 2:22 PM and 5:51 PM? 209 What is 631 minutes after 2:31 PM? 1:02 AM What is 387 minutes before 6:48 AM? 12:21 AM What is 27 minutes before 3:58 AM? 3:31 AM What is 655 minutes before 3:41 PM? 4:46 AM How many minutes are there between 8:48 PM and 12:39 AM? 231 What is 130 minutes before 6:18 PM? 4:08 PM How many minutes are there between 10:31 AM and 11:59 AM? 88 What is 524 minutes before 4:00 AM? 7:16 PM How many minutes are there between 5:49 AM and 2:02 PM? 493 How many minutes are there between 1:08 PM and 8:11 PM? 423 How many minutes are there between 11:56 AM and
{ "pile_set_name": "DM Mathematics" }
and 1708. 14 Suppose -40*i + 21*i = -6 - 89. What is the highest common divisor of i and 1? 1 Let i(g) = 97*g**2 + 3*g - 9. Let c be i(2). Let w = c + -175. Calculate the greatest common divisor of 21 and w. 21 Let f = 11906 - 10903. What is the highest common factor of 51 and f? 17 Let a(x) = 1125*x - 216. Let l be a(2). Calculate the highest common divisor of l and 27. 9 Let k be (-18)/279 - (135/(-675) + 10519/(-155)). Suppose 60 = -4*v + 264. What is the greatest common factor of k and v? 17 Let y = -228 - -340. Let h be (-7830)/(-243) - (-2)/(-9). What is the highest common factor of y and h? 16 Let b(r) = -146*r**3 - 10*r**2 - 5*r + 6. Let h be b(-1). Calculate the greatest common factor of h and 336. 21 Suppose 2*f + 4 = 0, -2*j + 92*f = 89*f - 10. Suppose -d - 24 = -3*d. What is the greatest common divisor of d and j? 2 Let d be 50*(2 + 0/5). Let s be d*(75/(-12))/(-5). Suppose -617*i + 700 = -603*i. What is the highest common factor of i and s? 25 Let o = 2086 + -1141. Suppose o = -2*r + 947. Let s be (-1 + -3)/(1/(-2)). Calculate the highest common divisor of s and r. 1 Let m = 302 - 135. Let v = m + -151. Calculate the greatest common divisor of v and 232. 8 Suppose -6086 + 63622 = 24*y + 8*y. What is the greatest common factor of 986 and y? 58 Let w = 1326 + -1355. Let r = 62 + -30. Let c = w + r. What is the greatest common factor of 27 and c? 3 Let m(f) = -75*f - 3. Let y be m(-1). Let u be 232/y - (4/9)/2. What is the highest common factor of 24 and u? 3 Suppose 3738 = 7*w - 1575. Calculate the highest common divisor of w and 792. 33 Suppose -4*i = -4*d + 2408, -4*d - i = 3*i - 2400. Let w be d - -2 - (0 - (1 + -6)). What is the highest common divisor of 46 and w? 46 Let u(k) = 14*k**2 - 44*k + 30. Let c be u(5). Suppose 87 = 3*y - 9. What is the greatest common divisor of y and c? 32 Let g be 4*(4*1 + 615/164). What is the greatest common factor of 3193 and g? 31 Suppose 0*d = -3*d + 15. Suppose -79 = -d*u - 2*g - 0*g, -28 = -2*u + g. Let y be (-722)/(-3) + 80/(-12) + 6. What is the greatest common divisor of y and u? 15 Let q be 150/24*8 + (5 - -4) + -4. Let n(s) = -s**3 - 6*s**2 + 3*s - 6. Let r be n(-7). Calculate the highest common divisor of q and r. 11 Let f = 16411 + -16396. What is the highest common divisor of 26910 and f? 15 Let f = 3390 - 465. Calculate the highest common factor of f and 234. 117 Let w be 2 - 3 - (-483)/(5 + -2). Suppose 5*a = 0, 3*c = -5*a + w - 7. What is the highest common factor of 17 and c? 17 Let r = 3229 - 2957. What is the highest common divisor of 238 and r? 34 Suppose 0 = -120*v + 142*v - 1320. Calculate the greatest common divisor of v and 1410. 30 Let w(k) = -6*k**2 + 20*k + 58. Let v(z) = -z**2 + z + 2. Let a(y) = 10*v(y) - 2*w(y). Let c be a(27). Calculate the greatest common divisor of 12 and c. 12 Let q(f) = -66*f - 911. Let i be q(-14). Let p(w) = 1587*w**3 - 2*w**2 + 1. Let o be p(1). Calculate the highest common divisor of o and i. 13 Suppose -1493*k + 1368*k = -196500. What is the greatest common divisor of 36 and k? 12 Let p = 8523 + -7092. Calculate the greatest common factor of 53 and p. 53 Suppose a - 3*i + 169 = -0*i, a = -4*i - 148. Let n = 20 - a. Let p be (1 + 9/(-15))/((-8)/(-400)). What is the greatest common divisor of n and p? 20 Let a be 4389/(-266) - (-316)/8. Suppose f - 460 = -3*f. What is the greatest common factor of f and a? 23 Let m be 9*(-3)/(-18)*2. Suppose -g + m*h + 54 = 0, g + g + 4*h = 88. Calculate the greatest common factor of 432 and g. 48 Let o be -8 - (-816)/104 - (-784)/26. Let j = 40 - o. What is the highest common factor of 8 and j? 2 Let x = -984 + 990. What is the highest common divisor of 999 and x? 3 Suppose 5*g - 207 - 473 = 0. Let t = -15474 - -15490. Calculate the highest common divisor of t and g. 8 Suppose 7 = -7*k - 84. Let o be 12 + k - -3*2. Suppose -4*j = 5*g + j - o, 5*j + 15 = 0. Calculate the highest common divisor of g and 4. 4 Let t be (114282/12)/(102/136). What is the highest common divisor of 28 and t? 14 Let n be 1 + (0 - -1*31). Let c be -5 + 25 - (14 - 18). Calculate the greatest common divisor of c and n. 8 Let z be 316/2054 - 25684/(-26). Calculate the greatest common factor of z and 2. 2 Let i(z) = -124*z - 3569. Let r be i(-29). What is the highest common factor of 117 and r? 9 Let l be 3 - (-3)/(12/44). Let g = 171 + -32. Let w = g - 118. What is the greatest common divisor of l and w? 7 Let z be (-156642)/(-138) + 8/(-92). Calculate the greatest common factor of z and 4767. 227 Let w(u) = -u**2 + 12*u - 3. Let j be w(10). Suppose -3*n = -4 - j. Let z(a) = a**2 - 3*a - 3. Let b be z(5). What is the highest common factor of n and b? 7 Suppose -2*c - 3*a = -0*a - 81, -3*c = -2*a - 154. Let d be -4*(-159)/(-6) + -1. Let x = d + 179. What is the greatest common factor of c and x? 24 Let y = -218683 - -218878. Suppose 2*k + 312 = 4*k. What is the greatest common factor of y and k? 39 Let p = 1 + 9. Let h be (-3 + 33)/((-4 + 2)/(-1)). Suppose -h = 4*v - 55. What is the greatest common divisor of v and p? 10 Let g be (1 + -3)/((-4)/(-28)). Let r be (-4)/g - (-1156)/119. Let k = 559 - 489. What is the greatest common factor of k and r? 10 Let b = 47002 + -14618. Calculate the greatest common divisor of 22 and b. 22 Suppose -6*z = 1146 - 7218. What is the highest common divisor of 92 and z? 92 Let n = -32 - -64. Suppose 3*c - 16 + 1 = 0. Suppose -c*w = 8*w - 26. Calculate the greatest common divisor of n and w. 2 Suppose -18*l - 12*l + 253050 = 0. What is the greatest common divisor of 21 and l? 7 Let z = -3 - -8. Suppose 6*f - 19 - z = 0. Suppose -f*x + 64 = 4*g - 264, -5*x = 15. What is the greatest common divisor of 34 and g? 17 Let j = -2 + 3. Suppose 0 = 83*y + 24534 + 49087. Let c = y - -896. Calculate the greatest common divisor of c and j. 1 Let s be 2*-15*36/(-60). Suppose -149 = -24*y + 3307. Calculate the highest common divisor of y and s. 18 Suppose -788*p + 789*p = -4*h + 64, 5*h + 243 = 3*p. What is the highest common divisor of p and 3800? 76 Suppose 3*c - 2*g - 10 = 0, 5*g = 2*c + 3*g - 8. Suppose -2*p = c, 13*a - 4*p + 196 = 17*a. What is the greatest common divisor of a and 30? 10 Suppose 3*a + 56 = 6*k - 5*k, 2*a - 80 = -2*k. Let w = 476 + -256. What is the greatest common factor of w and k? 44 Let b = -53 - -61. Let s(j) = 37*j - 3. Let n be s(7). Suppose 7*t - n = -t. What is the greatest common divisor of t and b? 8 Suppose -y + s - 4 = -8, -23 = -5*y + 2*s. Suppose -3 = -c - 3*l + 7, l = y*c - 66. Calculate the greatest common factor of c and 26. 13 Suppose 176*w = 95*w + 88*w - 49665. What is the highest common divisor of w and 330? 165 Suppose 30*a - 70 = 25*a. Let k(p) = 140*p**2 + 2*p - 2. Let d be 5 - 3 - (2 - 1). Let o be k(d). What is the highest common factor of o and a? 14 Suppose 309*c = 310*c - 18. Suppose c*m - 268 + 88 = 0. Let q = 8 + -6. Calculate the highest common divisor of q and m. 2 Let o = 427 - -224. Let i(r) = r**3 - 130*r**2 - 122*r - 1086. Let z be i(131). Calculate the highest common factor of o and z. 93 Suppose 494*k - 4200 = 459*k. Suppose -3 = -l - a, 0 = 3*l - a - 20 + 7. Suppose -l*i - i + 240 = 0. Calculate the greatest common factor of k and i. 24 Let y(d) = 8*d**2 + 60*d - 13. Let m be y(-8). What is the highest common divisor of 1159 and m? 19 Suppose 2*v + 300 = -4*v. Let j = v - -20. Let c be j/(-8) - (63/(-12) - -5). What is the highest common divisor of c and 2? 2 Suppose 9*j = 307*n - 305*n - 60, 5*n - 2*j = 150. Calculate the highest common factor of 699 and n. 3 Suppose 905*i = 934*i - 9135. What is the greatest common divisor of 10 and i? 5 Let x(y) = 49*y + 98. Let z be x(2). What is the greatest common factor of z and 76? 4 Let w = -258 + 258. Suppose w = -26*j + 853 - 281. Calculate the highest common factor of j and 319. 11 Suppose 0 = -3*b - 2*s + 100, -6*b - 3*s + 63 = -132. Let x(h) = 6*h**3 - 2*h**2 + 4*h - 3. Let z be x(2). Calculate the greatest common factor of z and b. 15 Suppose -248 = -5*y + 3*f + 1004, -2*y + 505 = 3*f. Suppose 0 = -3*i + 217 + y. Calculate the greatest common factor of i and 52. 52 Suppose a - 3 = 0, -3*i = -7*i + a + 85. Let g = i + -20. Suppose -b = -g*b + 123. Calculate the greatest common factor of 82 and b. 41 Suppose -
{ "pile_set_name": "DM Mathematics" }
. Do t and u have the same value? False Suppose 10*j - 6 = 5*j - j. Let c be 2/(-6) + 32/114. Does j = c? False Suppose 15*b - 19*b + 20 = 0. Suppose -35 = -5*w - 5*f, 3*f = -4*w - 1 + 24. Are b and w nonequal? True Let b = 13455/7684 + -2/1921. Which is bigger: 1 or b? b Let r = 0 + -0.1. Let u = 575 - 563. Does u = r? False Let a be ((-2)/(-32))/((-3)/(-54)). Let b be 3 - 4*3/((-18)/(-3)). Suppose 1 = 2*k - b. Which is bigger: a or k? a Let g = 933/5 + -186. Suppose 2*j + 5*x = 3*x - 2, -j + 5 = 4*x. Let y = 5 + j. Which is greater: y or g? y Let n(i) = -6*i + 48. Let y be n(14). Let c be (-7)/y*(-21)/(-98). Suppose 0 = 2*m - m. Which is smaller: m or c? m Let c be (-10 + 8)*(0 - 1). Let k be ((-13)/6 - -2)*c. Let o = -4 + 3. Which is bigger: o or k? k Let f = 1725 + -1725. Which is smaller: -10/433 or f? -10/433 Let s(l) = -11*l**2 + 155*l + 470. Let n be s(-3). Are -94 and n equal? True Let h = -0.95 - -0.8. Let g = h + 0.1. Let a = g - -0.05. Is 1 not equal to a? True Let i be (3 - (-25)/10)*-14. Let z(v) = -v**3 - 47*v**2 - 42*v + 106. Let m be z(-46). Are i and m unequal? True Let c(z) be the second derivative of 2*z**3/3 + 47*z**2/2 + 2*z + 40. Let l be c(-14). Is l greater than -9? False Let w = 150341/204 - 737. Is -1 equal to w? False Let l(i) = 2*i**3 + 12*i**2 - 2*i + 7. Let q be l(-6). Let o = q + -25. Suppose -2*v - 22 + 8 = 0. Are v and o equal? False Let s = -115.8 - -115.7. Are s and -120 unequal? True Let k(g) = -7*g**2 - g + 33. Let c be k(6). Is -225 at least as big as c? True Let h = -0.277 - -0.402. Are 0.2 and h unequal? True Let s = -18575/41 - -453. Let m(p) = -4*p + 108 + p**3 - 55 - 51 - 2*p**2. Let b be m(3). Is b > s? False Let g = 61 + -61. Suppose 5*w - 3*s = 148, -s + 164 = 5*w - g*s. Is w at most 34? True Let a be -2 + 0 + (-48)/(-3). Let m(r) = -2*r**2 + 3*r - 4. Let p be m(3). Let i = p + a. Which is smaller: i or -2/35? -2/35 Let g(d) = 36*d - 72. Let r be g(7). Are 181 and r equal? False Let o(s) = s**3 - 13*s**2 - 30*s + 1. Suppose -5*u = -9*u + 60. Let b be o(u). Is 28 greater than or equal to b? True Let t = 0.07 - 0.06. Let f = t + -0.01. Let u = -95/39 - -36/13. Which is smaller: f or u? f Let u = -58/21 + -172/105. Is u > -5? True Suppose t + t + 2*f = -16, 0 = -5*t + 2*f - 19. Is -6 at most as big as t? True Suppose 0 = -4*s + j + 3*j + 1132, -3*s - 2*j + 849 = 0. Which is smaller: 281 or s? 281 Let j be (3/130)/((-27)/(-36)). Let n = 534/455 - j. Do n and 1 have different values? True Let x be 415/25 + (-4)/(-10). Let r be (-2)/8*-6*-6. Let w = r - x. Which is smaller: w or -27? -27 Suppose -3*b - 5 = -14. Suppose -2*k = 4*f + 28, -k + 4*k = b*f + 12. Let l = 11 + -10. Which is smaller: f or l? f Let f = 867 + -6079/7. Let u be (-6)/(-15) + (-4)/10. Which is greater: u or f? u Suppose 5*n - 21 = 4*p - 240, 3*p - 2*n - 166 = 0. Is 57 less than or equal to p? False Let j be 854/(-6) - (12/(-9) - -2). Which is smaller: -145 or j? -145 Suppose -2*c - b + 18 = 0, 0*c - 52 = -4*c + 2*b. Suppose 2323 = 184*n + 299. Is n less than c? False Let l = 4 - 3. Let h be -14 + 5 + l/(-1). Let t(p) = -p**2 + p + 3. Let q be t(4). Which is smaller: q or h? h Let k = 54568/27 + -2019. Which is greater: k or 1? k Let o be (-8)/(-4)*(-6)/(-4). Suppose 3 + 2 = o*h - 5*k, 0 = 4*k + 4. Suppose 3*c + 2*a - 6*a - 14 = h, -8 = -2*c + 2*a. Which is greater: c or 5/4? c Suppose -2*b + 294 + 78 = -4*s, 5*s + 491 = -4*b. Which is smaller: s or 3? s Let m = 0.2 - 1.2. Let p = 1334 - 1335.2. Are m and p unequal? True Let w = 15 + -10. Let y be w + 2 + -3 + (-268)/6. Is -40 at most y? False Let i(h) = -2*h**3 + 4*h**2 - 4*h - 14. Let j be i(-2). Let c be j/7 - (-4)/14. Is 17/5 not equal to c? True Let c(v) = -10*v - 545. Let z be c(-54). Let d be (-2)/(-3) - 98/(-6). Suppose -25 = 5*a + 2*o, 2*o = -0*a + a + d. Which is greater: z or a? z Suppose 0 = -2*j - 5*t - 473, 6*t + 15 = 3*t. Is j greater than or equal to -225? True Let r be (-33)/616 + -1 + (-20)/(-14). Is 0 < r? True Suppose -41 = -i + 4*n + 21, -15 = 3*n. Do 41 and i have the same value? False Let a = 1.78 - -0.02. Let j = 0.09 + 0.71. Let n = j - a. Is n > 7? False Let c be ((-15)/(-12) - 1)*1/(-4). Which is smaller: c or -0.5? -0.5 Suppose 170*a - 4 = 166*a. Is 1/69 bigger than a? False Let i = -20819/76 - -1097/4. Let w = -56/57 + i. Which is bigger: -2 or w? w Let r = 172 + -166. Is r at most -6? False Suppose -2*b = 3*b - 5. Let y = -27298 + 1091841/40. Let v = y - -15/8. Is v equal to b? False Let b = -1 - -6. Suppose -x = m + 14, x + 2*x + 60 = -b*m. Let k = 12 + m. Which is bigger: 5 or k? 5 Let k = -925 + 4624/5. Which is greater: k or -13.1? k Let v = 0.1413 + -6.1413. Which is smaller: 57 or v? v Let q = -9.81 - -0.31. Let n = -32.5 - q. Which is smaller: 0 or n? n Let j(g) = g**3 + 8*g**2 + g + 9. Let z be j(-8). Let p be (-1)/(92/(-6)) - (-3)/(-6). Is z at most p? False Let v(z) = -11*z + 67. Let m be v(6). Which is bigger: -26 or m? m Suppose -5 = o - 4*j, -o - 4*o + 5*j = 10. Let n be (o + 2)/(1/13). Suppose r = 6*r + 2*d - 65, 0 = 2*d. Is n greater than r? False Let w = 0.4 + -0.2. Let z = -0.3 + w. Suppose -4 = -5*h + 4*a, a = -0*a - 1. Which is smaller: h or z? z Suppose 1731*l = 1726*l - 420. Suppose -u = -0 - 4, 2*u - 93 = h. Is h >= l? False Let z = 45023971/105 - 428805. Let k = -62/15 - z. Which is smaller: k or 1? 1 Let k = -326 + 10760/33. Let v(c) = c**3 + 6*c**2 - 2*c - 7. Let n be v(-6). Suppose n*l + 49 - 44 = 0. Is l greater than k? False Suppose 14 - 18 = -h. Suppose 2*p - p = 8. Let t = -3 + p. Is t bigger than h? True Let n = 1550 + -1551. Let x = -0.6 - -2.6. Let o = -1.9 + x. Which is greater: o or n? o Let z be (-64)/12 - 2/(-6). Let h = -2 - 5. Which is bigger: h or z? z Let o(k) = -11*k - 93. Let a be o(17). Is a at least as big as -280? True Let v be (-2046)/(-770) + 0 + 0 + -3. Do 1 and v have the same value? False Let x = 709 + -708. Which is bigger: x or -81? x Let a = 15.4 + -26. Let u = a + 10.5. Is u at least as big as -1? True Suppose 30 = 3*o - 6. Let q be (2/196)/((0 + -3)/o). Is q >= 1? False Let o(i) = 25*i**2 + 157*i - 2. Let c be o(-3). Is c less than or equal to -1744/7? False Let k be (-14)/(-4)*(-36)/(-63). Suppose p = -5*c + k, p + 3*p - 5*c = 33. Which is bigger: 0 or p? p Let f be -4 + 5 + -1*2. Let i = -2 - f. Let v be (-295)/720 + (-6)/(-27). Does i = v? False Suppose -3*d + 2889 - 973 = -k, -4*d - 2*k = -2568. Is d at least as big as 638? True Let j = 10 + -10. Suppose -m = -j - 3. Let s be (m/74)/((-3)/4). Is 1 at most as big as s? False Suppose 8 = 3*y + 11. Let t be (16/(-10))/(y/10). Suppose -5*d - 11 = -2*v, -4*d + 6*v = 2*v + t. Which is greater: -3 or d? d Let l(a) = -a - 7. Let y be l(-6). Let d be 2/(-9) + (-3 - 5756/(-1764)). Are d and y equal? False Let x = 700 - 9095/13. Suppose 2*p = -g + 6*g + 13, 0 = 4*p + 3*g + 13. Which is smaller: p or x? p Suppose 2*m - 9 = 9. Let u be (-39)/m + (-4)/6. Let n(c) = c**3 + 6*c**2 - 7*c - 4. Let x be n(-7). Is u at least as big as x? False Let y be (0 - 8/(-26)) + 0. Let p = -1.7686 + -0.2314. Is y > p? True Let l be ((-2)/4)/(4/8). Let x be 4 + (l - 9*1/3). Which is greater: x or -2/29? x Let p = -1 - -3. Let g = -22 - -32. Suppose k + p*d + g - 3 = 0, -3*d = 5*k + 7. Which is bigger: -1/12 or k? k Let t = 190.1 + -177. Let h = t + -13. Let a = -1 - -1.02. Which is bigger: a or h? h Suppose 4*q + 41 = -3. Let v = -608 - -599. Are q and v equal? False Let l = 42 + -74. Which is smaller: -65/2 or l? -65/2 Let l = 0.49 + -0.1. Let d = l + 0.61. Is d at most as big as -29? False Let y(b) = 4*b - 9. Let u be y(4). Let m(w) = w**2 - 12*w + 6. Let o be m(u). Do -29 and o have the same value? True Let x be -2 + 3/(-1) + 9. Suppose -2*u = -2, n + 2*n + 2*u = -x. Which is bigger: n or -27? n Let g = -1037/66 + 91/6. Is -2 < g? True Let g = -0.66 + 1.3. Let k = -0.67 + g. Is k at least as big as 0.6? False Let p = -10 + 6. Suppose 60*x + 20 = 55*x. Is p != x? False Let j = -45 + 52. Suppose 7*y + 2*v = 3*y + 2, 0 = 5*y - 2*v - j. Are -1/87 and y equal? False Let y = -1 - 0. Let d be (-1)/(6/(-7)) + y. Let m = -0.4 + 0.3. Is m greater than d? False Let z = -306.5 + 313.8. Do 0.7 and z have different values? True Let p = -28 - -53. Let c(m) = 15 + 10*m - 27 + 13*m**2 +
{ "pile_set_name": "DM Mathematics" }
least common multiple of p and 6. 6 Let v be (-5 - -2)*4/12. What is the common denominator of v/5*(-535)/14 and -41/22? 154 Suppose 144 = 4*l + 3*q, 2*l - q - 72 = 4*q. What is the common denominator of 1/5 and (105/l + -3)*38? 30 Let n = 1566403/63 + -161332/7. Let h = 1824 - n. Calculate the common denominator of h and 0 - ((-279)/24 - 0). 72 Let b = 47 + -32. What is the common denominator of (-10)/(-32)*(-3)/b and 19/20? 80 What is the common denominator of ((-2)/4)/(7/(-483)) and (129/12)/((-2)/2)? 4 Let o be (-1 - -3)*(-1 - 2). Suppose -p + 2*j + 17 = 0, -4*p + 41 = j - 0. Let m = o + p. What is the least common multiple of m and 7? 35 Let d be 1434/10 + (-2)/5. Let r be 29823/(-210) + 4/(-14). Let q = d + r. Find the common denominator of q and 7/6. 30 Let l = -918 - -9197/10. Let w be ((-3137)/(-41))/(3 + -143). Let t = w - 1/287. What is the common denominator of l and t? 20 Let f(w) = w - 1. Let u(t) be the first derivative of t**4/4 + 2*t**3 - t**2/2 + 4*t + 4. Calculate the smallest common multiple of f(5) and u(-6). 20 Let o(t) = t**3 + 9*t**2 + t + 3. Let u be o(-9). Calculate the common denominator of 79/18 and ((-402)/72)/(u/(-4)). 18 Let x = 20069/11 - 1829. Calculate the common denominator of x and -1 + ((-64)/(-3))/2. 33 Let a(j) = 3*j**2 - 1. Let g be a(-3). Suppose 4*r = -12, -5*t + 0*t = -2*r - g. What is the least common multiple of 7 and t? 28 Suppose 3 = 4*v + 19. Let y be 3 - (-1)/(-2)*v. Suppose 4*z = 5*z - y. What is the least common multiple of 1 and z? 5 Suppose 0 = -5*h + 5*m + 40 + 20, -2*h + 3*m = -27. Let p = 11/7 - -495/28. What is the common denominator of 2/h - 2285/360 and p? 8 Suppose -2*l - 1 + 0 = 5*s, 0 = -3*l - 9. Calculate the lowest common multiple of s and 8. 8 Let c = -1901 + 9546/5. Calculate the common denominator of -19/9 and c. 45 Let l = 15 - 10. Suppose 0*n + 4 = -2*n. Let w = n + l. What is the smallest common multiple of w and 3? 3 Let k(s) = s**3 + 11*s**2 - 2*s - 16. Let r be k(-11). Let h(b) = -b + 13. What is the lowest common multiple of 4 and h(r)? 28 Suppose -6 - 2 = -4*i. Suppose -i*v = 2*v - 40. What is the least common multiple of v and 14? 70 Let a = 111 + -79. What is the lowest common multiple of a and 5? 160 Suppose 7*z - 11*z + 24 = 0. Find the common denominator of -85/2 and (-303)/(-27) + -9 + z. 18 Find the common denominator of -59/22 and 393/(-4)*(140/63)/(-10). 66 Let w = -27 + 18. Let o be (-3 - (-2 - 0))*w. What is the smallest common multiple of 4 and 1*9 + o/(-3)? 12 Let b be 3 - ((5 - 2) + -3456). Let j = b + -48327/14. Let r = 307/10 - 261/5. Calculate the common denominator of j and r. 14 Suppose -4*y = -3*y - 4. Suppose 4*n + 2*r = 98, 2*r + 32 + 46 = y*n. Calculate the lowest common multiple of n and 22. 22 Calculate the lowest common multiple of (-23)/23*(1 - (1 + 5)) and 62. 310 Suppose 5*i + 0*i + 30 = 0. What is the lowest common multiple of -16*((-9)/i - 2) and 2? 8 Suppose 0 = 5*z - 0*z - 14600. Let q = z + -23277/8. Calculate the common denominator of 81/22 and q. 88 Let k(c) = -c**3 - 5*c**2 + 4*c - 4. Suppose -o - 1 = 0, -5*t + o + 31 = -0*t. What is the smallest common multiple of t and k(-6)? 24 Suppose 5*k = 2*o + 59, -6*o = -4*o + 4. What is the least common multiple of k and 5? 55 Calculate the common denominator of (177/99)/(2/(-3)) and 6/15 + 766/160. 176 Let h = 7/8 - -37/8. Calculate the common denominator of h and 43/8. 8 Suppose -8*n + 10 = -7*n. Calculate the lowest common multiple of n and 1. 10 Let x = -14549/20 - -727. Calculate the common denominator of x and -139/6. 60 Find the common denominator of (-4 - 92/(-22)) + 129/(-165) and -16/9. 45 Let u = -20936257465583/3048860054760 + 16/751691335. Let m = u + 1/4056. Let p = m + 59/120. What is the common denominator of -101/6 and p? 24 Let k(v) = v**3 + 11*v**2 + 11*v + 13. Let x = -10 + 0. What is the lowest common multiple of k(x) and 7? 21 Suppose 0 = -2*n - 6, h = -5*n - 7 - 4. Let q be h/(-6)*-7*3. Let m = 24 - q. What is the lowest common multiple of 3 and m? 30 Suppose -6*s + 4*p + 44 = -2*s, 0 = -3*s - p + 33. Let j(w) = w - 1. Calculate the lowest common multiple of 3 and j(s). 30 Suppose 0*v = -v + 5. Let m be 2/v*(1158 - 1). Let k = 466 - m. What is the common denominator of -39/10 and k? 10 Suppose 3*l = 2*l + 6. Calculate the smallest common multiple of l and 6. 6 Let f = -11 - -3. Let o(g) = -501*g + 11. Let b be o(f). Let i = b + -44170/11. What is the common denominator of i and 1/7? 77 Let j(u) = u**3 + 3*u**2 - 6*u - 4. Let o = -16 - -10. Let b be j(o). Calculate the common denominator of -4/5 and (4/22)/(8/b). 55 What is the common denominator of 10/50 + 143/(-15) and -49/5? 15 Suppose -g + 4*g - 12 = 0. Find the common denominator of (-303)/48 + (g - 2) and ((-2)/(-3))/((-24)/(-26)). 144 Let h = 84 - 39. Calculate the lowest common multiple of 10 and h/75 - 17/(-5). 20 Let y(t) = t + 1. Let j be y(-1). Suppose j = -5*l + 138 - 58. What is the least common multiple of 14 and l? 112 Let g be (-3)/(-12)*-2*-168694. Let i be g/14 + 1 + -1. Let k = -6030 + i. What is the common denominator of k and 85/12? 84 Suppose 5*c - 3*h + 7 = 0, 2*c + h - 6 = -0*h. Calculate the smallest common multiple of 11 and c. 11 Let b = 1/5757 - -592949/126654. Calculate the common denominator of b and (750/192 + -4)*-20. 88 Let h(r) = -r**3 - 3*r**2 - 2*r - 4. Let l = -31 - -13. Let v be (-4)/l + (-76)/18. Calculate the lowest common multiple of h(v) and 8. 40 Suppose -5*o - 2 + 4 = 3*q, 4*q = -4*o. Find the common denominator of 4/30*36/q and -27/5. 5 Let r(l) = -2*l + 3. Let u be r(3). What is the common denominator of u*(-1)/((-84)/76) and -97/8? 56 Suppose 0*g = 4*n + 2*g + 8, g = -n - 1. Let v be ((-12866)/n)/(-2) - 1. Let q = v + 2167. Calculate the common denominator of q and 39. 3 Let k(i) = -2*i**3 - 4*i**2 - 2*i. Let v be k(-2). Suppose s = -v, -a + 2*a = -4*s - 5. Calculate the least common multiple of a and -2 - -2 - (2 + -13). 11 Let f be (1 - -17) + (-6)/2. Suppose 4*j - f = -3. Calculate the smallest common multiple of 4 and j. 12 Let g = 12 - 7. Calculate the lowest common multiple of g and 7. 35 Let r(y) = y**2 - 9*y - 7. Let u be r(10). Suppose 8 = n - u. Calculate the smallest common multiple of n and 1. 11 Let h be (0 + 3/3)/1. Suppose 0*o + o + 13 = -4*p, -2*o = -p - h. What is the smallest common multiple of 4 and (14/(-35))/(o/10)? 4 Let k(t) = t**2 - 4*t + 4. Suppose -r + 0*r + 5 = 0. What is the least common multiple of 5 and k(r)? 45 Let c(g) = -g - 1. Let j be c(-3). Suppose 2*y + k = 18 + 13, 46 = j*y - 2*k. Let o(i) = -2*i - 4. What is the smallest common multiple of o(-4) and y? 36 Let d(l) = 6*l - 1. Let g = 3 + -2. Let u be d(g). Suppose -b + 0*b + 24 = 2*x, 5*b - 60 = u*x. What is the smallest common multiple of 10 and b? 80 Let p = 2/6569 - 400733/78828. Suppose o = 2*b - 9, 0*o = -b + 4*o + 15. What is the common denominator of 82/(-16) - b/1 and p? 24 Suppose -5*m + 28 = 8. Suppose m*l - 5*j = -323, -2*j + 5*j = 9. Let d = -55 - l. What is the smallest common multiple of d and 12? 132 Let w be ((-124)/(-10))/((-6)/30). Find the common denominator of (-3)/(-4) + w/(-8) and ((-12)/55)/(8/(-140)). 22 Let h = 8 + -3. Calculate the smallest common multiple of 10 and h. 10 Let x be (6 + 1)/(-3 + 2). Let a(y) = -y**2 - 5*y + 6. Let h be a(x). Let m(l) = -l**2 - 8*l + 11. What is the least common multiple of m(h) and 1? 11 Let d = 200238557/101946 - -63/16991. Let j = d + -1958. Find the common denominator of (-98)/12*2 + 0 and j. 6 Let c = 4556 - 2804. Calculate the common denominator of (1/9)/((-16)/c) and 2/36*37*4. 18 Let t = -2/251 - 12532/2259. Find the common denominator of 2/33 and t. 99 Suppose -p + 5*a = 4, -4*a - 2 = -p - 1. Calculate the lowest common multiple of p and 15. 105 Let t be (-41627)/6460 - (-4)/(-16). Let d = 2/323 - t. Find the common denominator of d and 89/18. 90 Let v = -14 + 30. Let s = v - 11. Calculate the lowest common multiple of 5 and s. 5 Suppose 12*k + 288 = -0*k. What is the common denominator of 2*19*1/(-20) and k? 10 Let u(w) = w**2 - 5*w. Let r be u(3). Find the common denominator of 5/r*2457/(-350) and -11/2. 20 Let b = 39 - 21. What is the least common multiple of b and 4? 36 Let w(t) = -15*t - 89. Calculate the lowe
{ "pile_set_name": "DM Mathematics" }
ative of 4*m**5 + 22190*m**3 + m**2 - 346589*m. 80*m**3 + 133140*m + 2 Find the first derivative of -227*n**4 + 204*n**2 + 255160. -908*n**3 + 408*n Find the second derivative of 2*g**5*k + 1911293*g**4*k - 58*g*k - 273*g wrt g. 40*g**3*k + 22935516*g**2*k Find the third derivative of -176625*o**3*s**3 + 2*o**3*s**2 + 19604*o**2*s**2 - 2*s**2 wrt s. -1059750*o**3 Differentiate -4*c**2*l*r**2 - 543622*c**2*r**2 - 8205*l*r**2 wrt l. -4*c**2*r**2 - 8205*r**2 Find the third derivative of 2*n**3*q**3*s + 14*n**3*q**3 - 5*n**3*s - 35*n**2*q**2 - 27*n*q**3*s + 12*n*s wrt n. 12*q**3*s + 84*q**3 - 30*s What is the second derivative of -535*u**4 + 555*u**2 - 2193886*u? -6420*u**2 + 1110 What is the first derivative of 4089485*l*m - 768569*l wrt m? 4089485*l Find the second derivative of 22426*v**5 + 19*v - 129 wrt v. 448520*v**3 Differentiate -131*i*v**2 - 108*i*v + i - 1217761*v**2 with respect to i. -131*v**2 - 108*v + 1 What is the derivative of 51*a**4 + 9*a**3 - 4*a**2 + 35*a + 272802 wrt a? 204*a**3 + 27*a**2 - 8*a + 35 Find the second derivative of -90*n**5 + 445*n**4 - n**2 + 734750*n. -1800*n**3 + 5340*n**2 - 2 What is the third derivative of 540*h*w**4 + 97935*h*w**2 + 3*w**3 wrt w? 12960*h*w + 18 Find the first derivative of 2*k**3*l**3 + 16359*k**2*l**3 - 76*l**3 + 617*l - 1 wrt k. 6*k**2*l**3 + 32718*k*l**3 What is the derivative of p*t**3*u + 138981*p*u**2 - 13129*t**3*u**2 + 98*u**2 wrt p? t**3*u + 138981*u**2 What is the third derivative of -21270*t**3 - 42*t**2 - 264? -127620 What is the second derivative of -340*q**4 + 2*q**3 - 161*q**2 - 636175*q wrt q? -4080*q**2 + 12*q - 322 Find the third derivative of -122383*g**5 - 5*g**2 + 2*g - 21022. -7342980*g**2 What is the derivative of -417504*b**4 + 664316? -1670016*b**3 Differentiate -28318*f - 80727 with respect to f. -28318 What is the third derivative of 682236*d**5 - 58526*d**2 + 13*d? 40934160*d**2 Differentiate -938305*b*z - 777*b - 543 wrt z. -938305*b Find the second derivative of -834827*z**3 + 615992*z wrt z. -5008962*z What is the third derivative of -5361*x**4 - 50383*x**2 wrt x? -128664*x Find the second derivative of -10*d**3*o - 125*d**3*q**3*y + 16*d**3*q**2 - 2*d**3*q*y + 9*d**2*o*q*y + d**2*q*y - d*o*q*y + 4*d*q - 23*o*q**2 - 2*q wrt q. -750*d**3*q*y + 32*d**3 - 46*o Find the second derivative of 15*j**5*x - 2988*j**4*x**2 - j*x**2 + 78*j*x - j - 23*x**2 wrt j. 300*j**3*x - 35856*j**2*x**2 What is the second derivative of -3501741*j**2*n**2*u**3 + 3*j**2*n*u**3 + 253994*j**2*n*u - j**2*u wrt n? -7003482*j**2*u**3 What is the derivative of -1150648*d + 4695061 wrt d? -1150648 What is the derivative of 8104*u**3*v - 83*u**3 + 2*u**2*v**2 - 587*u**2 - 2 wrt v? 8104*u**3 + 4*u**2*v What is the first derivative of 4569*g*s*u**2 - g*s - 3*g*u**2 + 2*s*u**3 + 67*s + 5 wrt u? 9138*g*s*u - 6*g*u + 6*s*u**2 Differentiate 613*n**3 + 5*n**2 + 27*n - 173689. 1839*n**2 + 10*n + 27 Find the first derivative of -25832*j*p + 361*j - p**2 wrt p. -25832*j - 2*p What is the first derivative of 8*d**3 - 5942*d**2 + 2*d + 422960? 24*d**2 - 11884*d + 2 Find the second derivative of -24309*g**4 + g**3 - 2*g**2 - 388372*g. -291708*g**2 + 6*g - 4 Find the first derivative of 616841*n*v**2 - 16788*v**2 - 10 wrt n. 616841*v**2 What is the second derivative of -37*w**5 - 755*w**4 - w**3 - 37120*w wrt w? -740*w**3 - 9060*w**2 - 6*w What is the third derivative of 55247*s**3 - 7*s**2 - 671*s - 2? 331482 Differentiate 592040*l*s**2 - 9056*s**2 - s + 10 wrt l. 592040*s**2 What is the second derivative of -17*b**2*l**4 + 19*b**2*l + 114*b**2 - 2*b*l**3 + 54*l**2 + l wrt l? -204*b**2*l**2 - 12*b*l + 108 What is the second derivative of x**4 - 284*x**3 + 48*x**2 - 7787*x? 12*x**2 - 1704*x + 96 Differentiate 783042*i - 1105605 with respect to i. 783042 Find the third derivative of -14962*o**4 + 136*o**3 + 4*o**2 - 258887. -359088*o + 816 What is the second derivative of -622203*s**5*y**2 + 47372*s*y**2 - s*y + 2*s + 2*y**2 wrt s? -12444060*s**3*y**2 What is the second derivative of 7*g**3*k*p - 2*g**3*k - 514*g**2*p - g*k*p - 4*g*p - 23*g - 3*p wrt g? 42*g*k*p - 12*g*k - 1028*p What is the first derivative of -9*b**3*h*s + 60*b**3*h - 6*b**3*s - 8*b**2*h*s - 16 wrt h? -9*b**3*s + 60*b**3 - 8*b**2*s Find the third derivative of 572*n**3*r**3 + 2*n**3*r**2 - 6*n**3*r + 2*n**3 + 27*n**2 + 2*n*r**2 - 103*r**4 wrt r. 3432*n**3 - 2472*r Differentiate 40*q**2*x + 252*q**2 + q + 23*x + 2 wrt x. 40*q**2 + 23 What is the second derivative of -2*b**3*c - 28*b**2*c**2 + 743*b**2 + 17105*b*c - 5*c**2 - 2 wrt b? -12*b*c - 56*c**2 + 1486 Find the second derivative of 358037*t**3 + t + 26 wrt t. 2148222*t Find the third derivative of -11*k**6 + k**5 + 1535*k**4 - 832608*k**2 wrt k. -1320*k**3 + 60*k**2 + 36840*k What is the third derivative of -209511*v**4*y**2 - 170*v**2*y**2 + 12*v**2*y + 9*v*y**2 wrt v? -5028264*v*y**2 What is the third derivative of 165*q**5 + 2*q**4 - 3*q**3 + 2*q**2 + 2120*q? 9900*q**2 + 48*q - 18 What is the derivative of 552*h**3*r**2 - 42*h**3 + 2*r**2 + 22*r - 3 wrt h? 1656*h**2*r**2 - 126*h**2 What is the second derivative of 73332*x**5 - 4839*x wrt x? 1466640*x**3 Find the first derivative of -551826*q**3*t**4 + 794070*q**3 + 2*q*t**4 wrt t. -2207304*q**3*t**3 + 8*q*t**3 Differentiate -6*o**3 + 7746*o**2*v - 220*v + 21 with respect to o. -18*o**2 + 15492*o*v Find the third derivative of 2086*t**6 + 239*t**4 - 2*t**3 - 4388338*t**2. 250320*t**3 + 5736*t - 12 What is the second derivative of 28*f**3 + 3275*f**2 + 19242*f + 6? 168*f + 6550 Differentiate 262232*a**3*w**2 - 2*a**3 - 629983*a**2 - 6*w**3 with respect to w. 524464*a**3*w - 18*w**2 Find the second derivative of -794781*x**3 + 11319*x - 15 wrt x. -4768686*x What is the first derivative of 1825*n**3*x + 3*n**3 - 5*n**2*x - 10*n**2 + 495*n - x wrt x? 1825*n**3 - 5*n**2 - 1 Find the second derivative of 63*z**4 - 1122*z**2 - 291985*z. 756*z**2 - 2244 Find the second derivative of -27825*c**4 + 7*c**3*s - 2*c*s + 4*c - 2578*s + 5 wrt c. -333900*c**2 + 42*c*s Differentiate 160141*n*r**3 + n*t**2 + n - 31*r**3*t**2 - 2*r**3 - r*t - 569*t with respect to n. 160141*r**3 + t**2 + 1 What is the second derivative of -61569*z**2 - 5*z + 353? -123138 What is the second derivative of c**2*g**3*k - 6*c**2*g**2*k**2 + 3*c**2*k + 42035*c*g**3*k**2 + 28*c*g**3*k - 4*g + 6*k - 20 wrt k? -12*c**2*g**2 + 84070*c*g**3 What is the second derivative of -21*g**4 - 7317*g**2 - 353324*g? -252*g**2 - 14634 What is the first derivative of 2*u**2*v + 3*u**2 + 1126*u*v - 940*u + 12*v - 5 wrt v? 2*u**2 + 1126*u + 12 Differentiate 348525*r - 117541 with respect to r. 348525 Find the first derivative of -247443*g*w + 33238*w wrt g. -247443*w Find the second derivative of -111*m**2*q**3 + 3*m**2*q + 9*m**2 - 1220*m*q**3 + m*q**2 - 5*m*q + 134*q wrt q. -666*m**2*q - 7320*m*q + 2*m What is the third derivative of 2*y**4*z + 648*y**4 - 139*y**3*z - y**2*z + 20976*y**2 + 2*y*z wrt y? 48*y*z + 15552*y - 834*z What is the derivative of 2*s*u + 278368*s - 2284785*u wrt s? 2*u + 278368 What is the second derivative of -10*n**2*z**2 - 3*n**2 - 153*n*z**2 + n*z - 13*z**3 + 1272*z wrt z? -20*n**2 - 306*n - 78*z What is the third derivative of -4093*b**3*t**4 - 147*b**3 + 2*b*t**2 - 10*b*t - 4*t**5 wrt t? -98232*b**3*t - 240*t**2 What is the first derivative of -y**4 + 219*y**3 - 51*y**2 - 966844 wrt y? -4*y**3 + 657*y**2 - 102*y What is the second derivative of -185890*s**4 + 12863*s + 6? -2230680*s**2 Differentiate -62*y**3 - 27*y**2 - 2*y - 34262 wrt y. -186*y**2 - 54*y - 2 What is the derivative of -16*g**2 - 2*g*u**2 - 27*g*y + 33*u**2*y + 187*u**2 wrt g? -32*g - 2*u**2 - 27*y Find the third derivative of 6*b*f**5 + 34*b*f**4 - 1200*b*f**2 + 16*b - 2 wrt f. 360*b*f**2 + 816*b*f Differentiate 10*m*o + 1624605*m - 988*o with respect to o. 10*m - 988 What is the second derivative of -581086*i**3 + 29*i - 2402? -3486516*i Find the third derivative of -19*b**4*n + b**4 + b**3*n - 123*b**3 - 7206*b**2*n + 2*b**2 + 6*b*n + n + 2 wrt b. -456*b*n + 24*b + 6*n - 738 Differentiate -356472*c - 481390 wrt c. -356472 Find the third derivative of -1102*g**2*z**4 - 2*g**2*z**2 - 16*g**2 + 84*g*z**4 + 1210*g*z - 2 wrt z. -26448*g**2*z + 2016*g*z Differentiate 3410521*n**2*w + 4819*n**2 -
{ "pile_set_name": "DM Mathematics" }
e v*p(y) + 3*s(y). -19*y**3 Let w(b) = 7*b + 35. Let d(r) = 21*r + 92. Determine 3*d(t) - 8*w(t). 7*t - 4 Let j = -23 + 38. Let w(a) = -5*a + 65 - 13*a**2 - j*a**3 - 65. Suppose 20*h - 42 = -302. Let s(t) = -7*t**3 - 6*t**2 - 2*t. Give h*s(b) + 6*w(b). b**3 - 4*b Let d(g) = 304*g**2 + 524*g - 5. Let z(k) = 221*k**2 + 393*k - 4. Calculate -8*d(w) + 11*z(w). -w**2 + 131*w - 4 Let k(u) = 2*u**2 - 3*u + 7. Let q(p) be the second derivative of p**5/20 + p**4/4 - 2*p**3/3 + 7*p**2/2 - 2*p - 1858. Calculate 3*k(b) - 2*q(b). -2*b**3 - b + 7 Let n(j) = -75*j - 6165. Let z(t) = 169*t + 12331. Calculate 9*n(d) + 4*z(d). d - 6161 Let z(y) = -y - 2. Let i(c) be the first derivative of c**2/2 + 2*c - 6. Let o = -10075 - -10082. What is o*z(q) + 6*i(q)? -q - 2 Let f(b) = 5*b**2 - 5. Let g(w) = 2*w**2 - 2. Let o be -18 + 4 + 14 + -3. Give o*f(h) + 7*g(h). -h**2 + 1 Let h(p) = p**2 - 2. Suppose 201 - 45 = 4*k. Let r(z) = 7*z**2 - 13. Let x = 1 - 12. Let c = x + 5. What is c*r(q) + k*h(q)? -3*q**2 Let z(w) = 21 + 44 - 108 + 9*w**3 - 3*w**2 - 3*w + 37 - 3*w. Let b(p) = 10*p**3 - 3*p**2 - 7*p - 7. Calculate -6*b(y) + 7*z(y). 3*y**3 - 3*y**2 Let g(a) = -2*a**3 - 10*a**2 + 15*a + 74. Let j be g(-5). Let o(l) be the second derivative of l**3/6 - 26*l. Let k(p) = 6*p. What is j*k(b) + 5*o(b)? -b Let u(i) = 25*i - 91. Let q(c) = -13*c + 46. What is 7*q(x) + 3*u(x)? -16*x + 49 Let x(d) = -d**3 + 54*d**2 + 796*d + 47. Let i be x(-12). Let n(w) = 13*w - 6. Let b(r) = r - 1. What is i*n(g) + 3*b(g)? -10*g + 3 Let v(x) = 8953*x**2 + 21*x + 21. Let u(z) = 2984*z**2 + 6*z + 6. Give 21*u(j) - 6*v(j). 8946*j**2 Let f(c) = c - 2. Let v(g) = -12 + 23 - 12 - 4 - 3*g. Let a(b) = 4*b + 5. Let h(z) = 6*a(z) + 7*v(z). Calculate 8*f(t) - 3*h(t). -t - 1 Let x be 745/50 - 11/(-110). Let i(q) = -9*q**2 + 21 + x*q**2 - 28 - q. Let b(k) be the first derivative of 5*k**3/3 - k**2/2 - 6*k + 1. Give -7*b(w) + 6*i(w). w**2 + w Let n(w) = -w**3 + w + 1. Let p(x) = -19*x + 229. Let t be p(12). Let i(k) = -4*k**3 + 7*k + 2. Give t*i(m) - 2*n(m). -2*m**3 + 5*m Let w(x) = -x**3 - x**2 - 2*x + 1. Let b(p) = 5602*p**3 + 8*p**2 + 16*p - 8. Calculate b(f) + 8*w(f). 5594*f**3 Let l be 0 - (6/(-3) - -4) - 553. Let w = -553 - l. Let q(p) = -5*p**2 + 3*p - 1. Let x(h) = 15*h**2 - 10*h + 3. Give w*x(m) + 7*q(m). -5*m**2 + m - 1 Let r(d) = -144*d. Let g(v) = -13*v + 4. Let m(u) = -4*u - 1. Let o(b) = g(b) + 4*m(b). Give 11*o(k) - 2*r(k). -31*k Let k(g) = -g + 18. Let l(y) = -1. Let v(s) = 7*s + 219. Let h be v(-31). Calculate h*l(r) + k(r). -r + 16 Let i(u) = 2666*u**3 - 14*u - 11. Let j(p) = 885*p**3 - 5*p - 4. Calculate -4*i(l) + 11*j(l). -929*l**3 + l Let r(w) = -34775*w**3 + 20*w**2 - 40*w - 80. Let h(l) = 11592*l**3 - 7*l**2 + 14*l + 28. What is -20*h(n) - 7*r(n)? 11585*n**3 Let h(z) = -4*z - 2. Let w(x) = 43*x - 8. Let y(d) = -52*d + 11. Let l(i) = -5*w(i) - 4*y(i). Let u be ((-6)/(-4))/((-12)/16). Calculate u*l(k) + 5*h(k). -6*k - 2 Let t(l) = -8*l - 1384. Let z(d) = 6*d + 924. Give 5*t(b) + 7*z(b). 2*b - 452 Let g(d) = -1925*d - 94. Let i(s) = -385*s - 17. Determine 6*g(y) - 33*i(y). 1155*y - 3 Let w(n) = 44*n - 11. Let s(y) = -49*y + 11. Calculate -4*s(k) - 5*w(k). -24*k + 11 Let p(v) = -9*v**3 - 6*v**2 - 6*v + 7. Let w(d) = 15*d - 19*d**3 - 28*d + 9 + 6 - 11*d**2 - 2*d**2. What is -13*p(z) + 6*w(z)? 3*z**3 - 1 Suppose -205*v + 46*v - 159 = 0. Let w(h) = 1. Let i(l) = 35*l**2 - 3. Calculate v*i(g) - 3*w(g). -35*g**2 Let b(o) = -5*o**3 - 6*o**2 + 27. Let q be 15/2*(100/15 - 6). Let m(l) = -4*l**3 - 5*l**2 + 26. Calculate q*b(s) - 6*m(s). -s**3 - 21 Let z(a) = -2773*a**3 - 2*a**2 - 2. Let r(c) = 13861*c**3 + 10*c**2 + 11. Calculate -2*r(l) - 11*z(l). 2781*l**3 + 2*l**2 Let v = 3 - 2. Let g(x) = -7*x - 463. Let j(y) = -15*y - 1003. Let n(q) = 13*g(q) - 6*j(q). Let k(w) = -6*w**2 + 30*w + 30. Give v*k(r) + 30*n(r). -6*r**2 Let g(v) = -2*v - 140. Let t(h) = -h - 56. Let o(i) = 51*i - 3099. Let s be o(61). Give s*t(k) - 5*g(k). -2*k + 28 Let w(l) = 143*l**2 + 59*l - 182. Let b(n) = 48*n**2 + 20*n - 66. Determine -11*b(t) + 4*w(t). 44*t**2 + 16*t - 2 Let b(a) = 6*a**3 + 2*a**2 - 2*a + 151. Let f(m) = -m**3 - m**2 + 2*m + 1. Give -b(q) - 2*f(q). -4*q**3 - 2*q - 153 Let l(b) = -58*b - 6. Let u(i) = -309*i - 30. Let j(q) = -16*l(q) + 3*u(q). Let o(t) = 2*t + 5. What is -3*j(r) + 4*o(r)? 5*r + 2 Let y(z) = 7*z + 3840. Let b(o) = -12*o - 7678. Determine -3*b(x) - 5*y(x). x + 3834 Let v(t) = -15*t**3 - t**2 + 545*t - 5. Let o(m) = -5*m**3 + 274*m - 2. What is -5*o(x) + 2*v(x)? -5*x**3 - 2*x**2 - 280*x Let c(l) = 1158*l + 11. Let w(m) = 2308*m + 25. Determine -9*c(k) + 4*w(k). -1190*k + 1 Let w(c) = 24*c**2 - 33*c. Let g be ((-2)/(-8))/(6/96). Let u(k) = -3*k**2 + 4*k. Suppose -2*i = -5*f - 0*i + 155, -f - 4*i + 53 = 0. Calculate f*u(p) + g*w(p). -3*p**2 Let y(c) = 4*c**3 + 12*c**2 - 3*c + 4. Let j be (-66)/8 - (-24)/(-448)*14. Let d(g) = -2*g**3 - 6*g**2 + g - 2. Determine j*d(x) - 4*y(x). 2*x**3 + 6*x**2 + 3*x + 2 Let l(o) = 16*o**3 + 2*o**2 + o + 1. Let x(y) = 176*y**3 + 16*y**2 - 30*y + 8. Give 8*l(q) - x(q). -48*q**3 + 38*q Let v(x) = -105*x + 33. Let o(t) = -t - 4. Give 36*o(y) + 4*v(y). -456*y - 12 Let d(t) = 2 - 4*t - 10*t - 3. Let o(y) = 3*y. Suppose -17 = 5*g - 32, -g = -5*c - 13. Determine c*d(q) - 11*o(q). -5*q + 2 Suppose -2*a - 47 = -5*v + a, 15 = v - 2*a. Suppose 0 = -9*x + v*x + 10. Let k(q) = 3*q - 2*q + 15 - 15. Let l(u) = 3*u. What is x*k(s) - l(s)? 2*s Let p(u) = -u - 2*u + 1 - 8 - 9. Let l(j) = j + 5. Suppose -3*i - 2*n + 16 = -i, -3*i + 36 = 5*n. Calculate i*p(x) + 7*l(x). x + 3 Let t(v) = -29*v + 1290. Let s(l) = -3*l. Determine 11*s(u) - t(u). -4*u - 1290 Let u(h) = 569*h - 3. Let f(k) = 1707*k - 10. Give 2*f(m) - 7*u(m). -569*m + 1 Suppose -180 = -45*j + 65*j. Let b(x) = 2. Let g(u) = u + 1. Let c(s) = b(s) - 3*g(s). Let o(a) = 13*a + 5. Determine j*c(q) - 2*o(q). q - 1 Let y(l) = -27*l - 7. Let z(c) = -4*c**3 - 106*c**2 - 51*c + 20. Let k be z(-26). Let p(v) = 27*v + 8. Determine k*y(r) - 5*p(r). 27*r + 2 Let l(d) = 7*d + 13. Let o(n) = 117*n - 2079. Let r be o(18). Let x(u) = 48*u + 90. Determine r*l(t) - 4*x(t). -3*t - 9 Let k(d) = 3*d - 4133. Let o(u) = -2*u + 2753. Calculate -5*k(t) - 7*o(t). -t + 1394 Let r(f) = -74*f**2 - 14*f - 5. Let w(k) = 49*k**2 + 9*k + 3. Suppose 4*v - 560 = -57*v - 9*v. Give v*w(h) + 5*r(h). 22*h**2 + 2*h - 1 Let f be 6/(-1) + -3 - (49 + -50). Let c(j) = 2*j**3 + 12*j**2 - 8*j - 8. Let g(a) = a**3 + 4*a**2 - 3*a - 3. What is f*g(z) + 3*c(z)? -2*z**3 + 4*z**2 Let s = -3027 - -3023. Let q(l) = 3*l**2 + 6*l - 2. Let v(w) = -5*w**2 - 13*w + 4. Calculate s*v(h) - 7*q(h). -h**2 + 10*h - 2 Let h(g) = 2*g - 41. Let u(t) = -t**2 - t. Let i(j) = h(j) - 2*u(j). Let z(a) be the first derivative of i(a). Let b(x) = -4*x - 3. Determine 4*b(n) + 3*z(n). -4*n Let s(l) = -1. Let m = -1374 - -1373. Let u(c) = -c**2 + 13*c - 4. Calculate m*u(d) + 4*s(d). d**2 - 13*d Let x(d) = d**2 - 19*d - 18. Let b(v) = 2*v**2 - 19*v - 15. Determine -6*b(m) + 5*x(m). -7*m**2 + 19*m Let h(r) = -3*r**3 + 7*r**2 - 21*r + 8. Let c(l) = -5*l**3 + 13*l**2 - 38*l + 15. Determine 5*c(v) - 9*h(v). 2*v**3 + 2*v**2 - v + 3 Let s(d) = d. Suppose 5*g - 17 = -l, 6 = -3*l - g + 1. Let v(y) = 3*y. Suppose 1302*f = 1292*f - 10. Determine f*v(m) + l*s(m). -6*m Let u(g) = 49*g - 284. Let c(q) = -12*q + 96. Let v(k) = -7*c(k) - 2*u(k). Let w(h) = -5*h - 35. Calculate -4*v(d) + 11*w(d). d + 31 Let p(f) = -4*f - 5 - 7*f + 3*f. Let a(b) = b**3 - 22*b**2 - 10*b + 54. Let j be a(21). Let l = j - -591. Let r(m) = 23*m + 14. Determine l*r(x) - 17*p(x). -2*x + 1 Let n(y) = -4*y**2 - 4*y - 2. Let o(k) be the second derivative of k**4/6 + k**3/3 + k**2/2 - 2*k. Let m be 26 - 7 - (36 - 11). Calculate m*n(w) - 11*o(w). 2*w**2 + 2*w + 1 Let d = 110 - 109. Let p(n) = 133*n - 3. Let g(c) = 40*c - 1. Let z(t) = -10*g(t) + 3*p(t). Let u(y) = 0 - 2 + 3. Determine d*u(f) + z(f). -f + 2 Let v(q) = -q**2 - 6*q + 1. Let f(w) = 2*w**2 + 13*w - 2. Suppose 6*h - 15 = 21. Let j be (-4)/(-12) - 38/h. What is j*f(n) - 13*v(n)? n**2 - 1 Let u(v) = -7*v**2 + 11*v + 28. Let r(z) = -2*z**2 + z + 7. Let n(w) = -4*r(w) + u(w). Let a(x) = 2*x**2 + 22*x. Give 2*a(k) - 7*n(k). -3*k**2 - 5*k Let a(f) = 1. Suppose 5*m + 24 - 28 = -j, 3*m + j -
{ "pile_set_name": "DM Mathematics" }
(-35)/(-10)? -7/5 What is (-1)/(((-12)/(-40))/(21/(-14)))? 5 (1*5/(-5))/(264/22) -1/12 What is 3/(-6)*(-4)/(24/3)? 1/4 What is the value of -12*7/(126/(-3))? 2 What is the value of ((-4)/(-24))/(4/4)? 1/6 What is (-4)/((-1)/(2/44))? 2/11 What is the value of 2*((-24)/(-10))/6? 4/5 (-5)/15*(-18)/(-48) -1/8 What is (7/28*2)/1*0? 0 What is (1/(-3))/((-40)/96)? 4/5 Evaluate (55/1100)/(2/(-10)). -1/4 Calculate -3*-1*1*(-19)/(-19). 3 Calculate (-105)/700*-4*1. 3/5 Calculate (-4)/(-21)*(276/(-8))/23. -2/7 Evaluate 7*3/21*-2. -2 What is the value of -10*(-8)/120*-6? -4 Evaluate ((-35)/50*-5)/(1/(-2)). -7 Calculate 2/(-2)*-1*49/(-343). -1/7 ((-1)/(7/(-21)))/((-6)/(-4)) 2 What is the value of (-1*(-2)/14)/((-24)/(-28))? 1/6 What is the value of ((-48)/96)/(4/(-14))? 7/4 What is the value of (9/(-10))/(12/(-10))? 3/4 What is ((-16)/36*6)/(-4)? 2/3 Evaluate 2/10*100/16. 5/4 ((-12)/(-20))/(2/(-10)) -3 Evaluate 2*((-2610)/(-20))/(-29). -9 What is the value of (16/(-18))/(140/(-126))? 4/5 (10/(-4))/(8/16) -5 Calculate ((6/4)/(-1))/((-33)/(-22)). -1 What is ((45/15)/3)/((-2)/(-2))? 1 What is the value of (-4)/(3/(-3))*(-2)/(-2)? 4 Calculate -6*(-1)/((-6)/4). -4 What is the value of -3*(-5)/210*(-40)/5? -4/7 Evaluate 2*(-1)/2*(-122)/(-61). -2 What is (16/10)/(4/(-10))? -4 What is the value of (39/208*8)/(5/30)? 9 Calculate (-4)/5*20/8. -2 460/1035*30/8 5/3 What is the value of (45/675)/((-2)/(-18))? 3/5 Evaluate ((-28)/21)/(2*(-3)/9). 2 Calculate -2*(-48)/(168/(-14)). -8 Calculate 235/141*(-18)/15. -2 Calculate (4/10)/(2*81/45). 1/9 Evaluate (2/42*6)/(11/7). 2/11 (24/4)/(-12)*2/1 -1 Calculate ((5/2)/((-2)/4))/(-6). 5/6 (-14)/(-7)*1/(-22) -1/11 Calculate (-26)/117*(-18)/8*14. 7 Calculate 56/(-14)*2/((-8)/9). 9 Evaluate -1*9/15*(-10)/(-8). -3/4 (-8)/(24/6)*2 -4 What is the value of (-10)/2*(-8)/((-240)/(-54))? 9 What is (-55)/(-165)*2/(-1)? -2/3 What is the value of ((-46)/(-115))/(7/(70/16))? 1/4 What is the value of 5/(5/6)*(-22)/(-44)? 3 ((-16)/(-18))/(45/((-11340)/(-56))) 4 What is (-12)/(-14)*21/27? 2/3 Evaluate (-5)/(-4)*(-3)/((-120)/(-16)). -1/2 Calculate ((-3)/4)/((-147)/28). 1/7 Evaluate (15/(-20))/((-3)/(-12)). -3 What is ((-2)/(-12))/((-22)/(-33))? 1/4 18/(-2)*((-4)/36)/1 1 Evaluate (20/(-10)*(-4)/(-8))/10. -1/10 Calculate (9/(-12))/((-27)/9). 1/4 1*4/4*35/(-5) -7 Calculate 6/(3/2*1). 4 ((-8)/(-30))/1*55/(-66) -2/9 Evaluate ((55/18)/11)/(20/16). 2/9 (-15)/(-10)*(-2)/(-9) 1/3 Evaluate ((-2)/3)/(9/(-54)*-16). -1/4 12*((-4)/9)/(42/(-63)) 8 Calculate 2/1*20/(-360). -1/9 What is the value of 18/4*((-25)/5)/30? -3/4 Evaluate 19/342*1*-2. -1/9 What is the value of 4/(-8)*-15*(-72)/60? -9 What is the value of ((-10)/12)/((-345)/(-69))? -1/6 ((-20)/(-6))/((-2)/3) -5 (6/(-9))/((-1)/((-9)/(-6))) 1 Evaluate ((255/(-10))/(-17))/(1/(-2)). -3 What is the value of 2/1*(36/(-42))/6? -2/7 What is the value of (2*3)/(8/(-16)*15)? -4/5 (20/8)/(-5)*40/70 -2/7 What is the value of (0/(-22))/((-4)/1)? 0 (10/(-4)*56/(-210))/3 2/9 Calculate 420/(-2016)*-4*(-3)/(-45). 1/18 18*-13*(-2)/78 6 What is (-620)/1085*3/((-18)/(-14))? -4/3 Calculate (-38)/19*(-3)/(-9)*9. -6 Calculate ((-8)/8)/((8/(-2))/1). 1/4 7/42*(-18)/(-4) 3/4 What is (-35)/21*12/(-10)? 2 What is (-6)/27*9/18? -1/9 Calculate (9*15/540)/(14/(-40)). -5/7 Calculate 6*1*(-5)/(-80). 3/8 What is (0/(-2))/((-8)/((-24)/(-9)))? 0 What is the value of (10/(-15))/((-2)/36*-4)? -3 What is ((-54)/168)/((-6)/(-16))? -6/7 Evaluate 8/6*(-18)/12. -2 ((-10)/50)/((-12)/(-40)) -2/3 What is -8*(-1)/14*28/40? 2/5 Evaluate 0*(-5)/10*-1. 0 (-1)/(-9)*-1*72/(-16) 1/2 Calculate (-183)/427*(-42)/3. 6 What is (4/110*-3)/((-3)/(-10))? -4/11 What is the value of 0/(-3)*10/(-20)? 0 Evaluate (6/2)/((-3)/12*21). -4/7 Calculate (8/(-12))/2*6. -2 Evaluate 5*-8*5/(-300). 2/3 What is (-3)/(-72)*-6*32? -8 What is ((-2)/3)/((-9)/((-135)/2))? -5 Evaluate ((-4)/(-2))/(9/(-108)*-6). 4 What is 8/(24*-7)*-12? 4/7 Calculate (-3)/19*6/(-9). 2/19 (-40)/(-5)*15/60 2 What is (-12)/30*15/(-10)? 3/5 What is the value of ((-78)/(-65))/((-4)/10)? -3 What is the value of (40/(-24))/((-6)/(-18))? -5 (88/(-132))/(4*(-3)/(-162)) -9 Calculate 2*((-1)/(-3))/(4/18). 3 What is the value of (1/(-2))/((-1)/(-2))? -1 144/(-12)*6/(-9) 8 12/8*(-28)/14 -3 What is (-24)/(-48)*(-6)/5? -3/5 What is (6*(-4)/32)/((-2)/(-4))? -3/2 What is the value of ((-15)/12*-4)/1? 5 Calculate ((-1)/(-2))/(4*(-25)/(-80)). 2/5 What is ((-1)/3)/(3/(-54)*3)? 2 Evaluate (5*24/1650)/(2/5). 2/11 Calculate (-14)/(-8)*(-236)/59. -7 Evaluate (15/(-6))/5*2. -1 Calculate 85/34*-12*1/(-10). 3 Evaluate (8*9/180)/(2/(-20)). -4 What is 1/((2/(-8))/((-40)/(-32)))? -5 What is (-5)/(10/6)*4/(-120)? 1/10 What is (-14)/(-182)*4/(2*-1)? -2/13 Evaluate (-3*(-2)/6)/((-780)/120). -2/13 What is the value of ((-1)/(-2))/(19/152)? 4 What is the value of (4/(-6))/2*144/112? -3/7 Calculate (2/2)/(27/9). 1/3 Calculate (-4)/4*-6*(-6)/9. -4 4*(-35)/10*2/(-28) 1 What is (-2)/3*(-6)/(20/20)? 4 What is (15/(-6))/(455/(-52))? 2/7 Calculate (-158)/1580*2/1. -1/5 What is 18/63*(-2)/8*2? -1/7 What is the value of -1*(5/3)/(18/54)? -5 What is 41/41*2/(-2*3)? -1/3 What is the value of (-3*4/4)/((-9)/6)? 2 (-4*6/36)/((-2)/(-3)) -1 What is 4*(-8)/(-220)*(-5)/12? -2/33 What is the value of 4/(-6)*(-12)/((-336)/14)? -1/3 What is the value of (-2)/(1*4/(-2))? 1 Calculate ((-33)/(-55)*-5)/(6/(-10)). 5 What is (12/(-2))/((-51)/(-34))? -4 Evaluate ((-3)/(-7))/((-42)/14). -1/7 (144/32)/((-12)/(-16)) 6 What is (-1)/(2/6*8/(-24))? 9 ((-1)/(80/10))/((-2)/16) 1 Evaluate ((-6)/(-8))/(117/52). 1/3 Evaluate (-2)/(6/(-1))*-3. -1 What is the value of (2/(-12))/(6/((-1620)/75))? 3/5 (-12)/18*3*2 -4 1/((-3)/(-24)*2) 4 Evaluate ((-6)/4)/((-3)/(-2)). -1 Calculate (8/(-12))/(6/(-27)). 3 What is the value of (-3)/(-9)*(-45)/60? -1/4 Calculate (3/6)/(2/(-4)). -1 What is (4*(-9)/(-48))/(-3)? -1/4 Evaluate (-2)/5*(99/22)/(-9). 1/5 What is the value of (-32)/2*(-4)/(384/36)? 6 Evaluate ((-20)/(-25))/(-1*2/(-10)). 4 What is (-1*5/15)/((-1)/(-6))? -2 What is the value of (1/(-5))/(-3*22/(-165))? -1/2 What is the value of -6*(-4)/16*12/6? 3 Calculate ((72/(-30))/6)/(11/(-15)). 6/11 What is the value of (-6)/4*18/54*-2? 1 Evaluate (15/(-300))/((-3)/12). 1/5 What is (20*-2)/4*8/16? -5 Calculate 364/(-3185)*10/(-16). 1/14 Evaluate -10*(-14)/(-35)*3/(-2). 6 ((-155)/(-62))/((-10)/(-12)) 3 Calculate (-1)/(-6)*21/(-7). -1/2 What is the value of (-15)/10*16/6? -4 What is 5/1*(4/20)/1? 1 ((-288)/(-816))/((-6)/(-68)) 4 What is ((-39)/13)/(21/14*-1)? 2 60/105*(-1)/10*-7 2/5 10/(-4)*(-8)/(-20) -1 What is (-3)/(-6)*-1*10*-1? 5 Evaluate 6/(1*2/1). 3 Calculate -6*2/4*28/(-42). 2 Evaluate 6/(-4)*(-35)/(21735/92). 2/9 What is the value of (-3)/(-4)*(-2)/3*6? -3 (-2*4/32)/(21/(-96)) 8/7 ((-9)/6)/((-3)/8) 4 What is the value of ((-2)/(-3))/(150/(-45))? -1/5 What is (28/(-35))/(2/5)? -2 Evaluate (-48)/24*9/6. -3 What is the value of 1*23/((-23)/(-4))? 4 Evaluate ((-36)/6)/(2/2). -6 Evaluate 4/1*3*(-13)/78. -2 (-5)/15*189/9 -7 Evaluate (-4)/(-2)*1/(-1). -2 Calculate (((-144)/40)/3)/((-2)/5). 3 What is 9/(18/5)*-2? -5 What is the value of 66/(-1485)*(-4)/((-4)/(-3))? 2/15 5/(-330)*3*-4 2/11 Calculate (210/72)/7*16/(-4). -5/3 What is the value of (-2)/(-3)*(-21)/(-14)? 1 Calculate ((-15)/36*3)/(1/(-4)). 5 What is the value of ((-12)/15)/(((-5)/(-25))/(-1))? 4 What is the value of (5/(60/(-4)))/((-7)/84)? 4 (((-7)/2)/7)/((-12)/168) 7 What is ((-2)/((-4)/(-6)))/((-9)/3)? 1 Evaluate 2/56*-8*(-7)/2. 1 Evaluate (-8)/(-102)*(-18)/12. -2/17 What is -23*(-16)/736*(-4)/6? -1/3 Calculate 160/(-8)*4*(-1)/(-16). -5 Calculate (1/(-18)*2)/(26/39). -1/6 What is the value of (-252)/462*(-3)/(-9)? -2/11 What is ((-43)/(-258))/(-14*(-1)/8)? 2/21 What is 12/(-8)*-7*24/84? 3 ((512/(-80))/16)/((-4)/(-14)) -7/5 Evaluate (-25)/(-25)*-5*1. -5 What is the value of 15/30*(6/15)/(-1)? -1/5 (1/(-5))/(4/(-4))*-2 -2/5 Calculate 5*(-7)/((-105)/12). 4 Calculate (-63)/27*(-4)/(-63)*3. -4/9 Calculate ((-2)/10)/((-67)/134). 2/5 -3*((-3)/(27/6))/(-2) -1 (14/315)/((-20)/(-100)) 2/9 Calculate (-4)/(-11)*87/174. 2/11 What is the value of 5/(((-8)/12)/(-2)*-3)? -5 What is the value of ((-9)/32)/((72/(-32))/(-3))? -3/8 What is the value of ((-64)/(-8))/((-5)/(5/(-2)))? 4 What is ((-2)/3*3)/(-4)? 1/2 What is (1/10)/((-4)/((-176)/11
{ "pile_set_name": "DM Mathematics" }
-3*k - 4*d = 34. Let r = 36 + k. What is the tens digit of r? 2 Let u be (18/(-30))/((-3)/30). What is the units digit of (u/(-4))/((-10)/20)? 3 Let r(a) = -5*a - 1. Let j be r(-1). Let k be 2/(1*(-2)/(-5)). Suppose 0 = k*w - j*w - 7. What is the units digit of w? 7 Let k = 8 + -5. Let j(f) = f**3 - 4*f**2 + 3*f + 4. What is the units digit of j(k)? 4 Let y(o) = -o - 3. Suppose 2*m + 6 = -8. Let u = -18 - m. What is the units digit of y(u)? 8 Let z(f) = f**3 + 15*f**2 + 12*f + 14. What is the tens digit of z(-14)? 4 Let r(z) = -z**2 - 21*z - 27. What is the units digit of r(-16)? 3 Let j = 6 + -4. Let v(d) = -4*d**2 - j*d + 2 - d + 3*d**2. What is the units digit of v(-2)? 4 What is the tens digit of (1/(-1))/((-5)/80)? 1 Let d = -12 + 17. Let m be (1/4)/(d/340). Suppose 0*o = -b - 4*o - 3, o + m = 3*b. What is the units digit of b? 5 Let y(w) be the second derivative of w**5/20 + 5*w**4/12 + 2*w**3/3 - w**2/2 + 2*w. Let c be y(-3). Suppose 0 = -c*v + 1 + 9. What is the units digit of v? 2 Let n = 0 - -3. Suppose -1 = f - 2*q, -n*f - 2*q = q - 6. Suppose -4 = -u - f. What is the units digit of u? 3 Let g = 66 - 111. Let j = -22 - g. What is the units digit of j? 3 Let c = -27 + 17. Let a = 20 + c. What is the units digit of a? 0 Let a(k) = k**2 - 4*k - 6. Let n be a(6). Let r(w) = n - 1 - w + 0. What is the units digit of r(-4)? 9 Suppose -n + 1 = 2. Let j = 2 - n. What is the units digit of j? 3 Suppose -2*s - 7 = 4*b + 3*s, -2*b + 16 = -4*s. Let u be ((-22)/(-8))/(4/16). Suppose b*j - 10 = 0, 0 = 3*d - 3*j - 10 - u. What is the tens digit of d? 1 Suppose -2*l = 4*w - 320, -480 = -7*l + 4*l - 3*w. What is the hundreds digit of l? 1 Suppose -5*y + 30 = -3*n, 3*y - 2*n - 8 = y. What is the tens digit of (-2*2)/(y/(-72))? 3 Let z(m) = 31*m + 26. What is the hundreds digit of z(5)? 1 Let t be -5*(-1 + 2/1). Let d(q) = 3*q - 14. Let l(k) = -k + 7. Let h(n) = 2*d(n) + 5*l(n). What is the units digit of h(t)? 2 Suppose -56 = 6*z - 356. What is the tens digit of z? 5 What is the units digit of 15/(-45)*(-24)/2? 4 What is the units digit of 57 - (-5 + -3 - -5)? 0 Let c = 7 + -2. Suppose -19 = -2*y + 41. Suppose 6 - 26 = -4*w, d + c*w - y = 0. What is the units digit of d? 5 Suppose 0 = s + s + 5*b + 7, -4*s = -4*b - 56. What is the units digit of s? 9 Let w = 103 + -71. What is the tens digit of w? 3 Let y be -3 - 3*4/(-2). Suppose 0 = y*o + 21 + 9. What is the units digit of (o/(-4))/((-1)/(-2))? 5 Let r(o) = -o**2 - 9*o + 4. What is the tens digit of r(-8)? 1 Suppose 164 - 50 = 3*t. Suppose x - 3*z - t = 0, 4*x - 3*z - 110 - 42 = 0. What is the tens digit of x? 3 Let r be 24/10*(-8 + 3). Let u be r/66 + 57/11. Suppose u*z - 4*j = 25, 0 = 3*z - 3*j - 5 - 10. What is the units digit of z? 5 Suppose b - 46 = -4*m, -2*m + 75 = 2*b - 47. What is the units digit of b? 6 Suppose 2*h + 3*m + 13 - 179 = 0, m + 2 = 0. What is the tens digit of h? 8 Suppose 0 = -5*y + 198 + 442. What is the hundreds digit of y? 1 Let n be (-18)/(-15) + (-2)/10. Let x be n + (-2 - 2) - -1. What is the units digit of (-1)/2 + (-3)/x? 1 Let m be 61 + (3 + -2)*-1. Let q(o) = o**3 - 7*o**2 + 6*o + 4. Let s be q(6). Suppose r - m = -s*r. What is the units digit of r? 2 Let s = -22 + 13. Let r be 4/6 - 12/s. Suppose 0 = c + r*c - 9. What is the units digit of c? 3 Suppose -2*d = 4*c - 128, -5*c - 5*d + 5 + 150 = 0. What is the tens digit of c? 3 Suppose -5*u = j + 8, 2*u + 9 = 2*j + 1. Let s = u - -67. Suppose 0 = -8*q + 3*q + s. What is the tens digit of q? 1 Suppose -4*b - 2 = t - 16, -3*t - 4*b + 74 = 0. Let n = t - 2. What is the units digit of n? 8 What is the tens digit of 2/(1*4/48)? 2 Let r = 3 + -2. Let n(p) = p + 1. What is the units digit of n(r)? 2 Suppose 4*y - 5 = 7. Let d = 0 + y. What is the units digit of d? 3 Let t(c) = -2*c**3 - 2 + 3 + 2*c - 27*c**3. What is the tens digit of t(-1)? 2 Let p = 1 - -1. Let t = -6 - -14. Let i = p + t. What is the tens digit of i? 1 Let s = 3 + -3. Let v be 0/(0 + s - 1). Suppose g - 4*g + 39 = v. What is the units digit of g? 3 Let i(d) = d - 9. Let y be i(-7). Suppose 0 = -3*c - 2*c. What is the tens digit of (-3)/4*(y - c)? 1 Suppose 5*l + 2*a - 15 = 0, 0*l - 2*a = l + 5. Suppose 66 = -5*g + 3*x, -g = -6*g + l*x - 60. What is the units digit of ((-36)/g)/(9/30)? 8 Suppose 0 = -w + 2*h - h + 41, 4*w - 154 = 2*h. Let a = w - 22. What is the tens digit of a? 1 What is the tens digit of ((-1)/(-2))/(1/80)? 4 What is the units digit of (-3)/(16/(-13) - -1)? 3 Suppose -2*n = -5*k + n + 17, n + 3 = k. Suppose -o + 2*m = -6, -k*m + 7*m = 3. What is the units digit of o? 8 Let m(t) = 9*t - 11. What is the units digit of m(11)? 8 Let y(k) = k**2 - k. Let r(c) = 2*c**2 - 13*c - 10. Let x(w) = r(w) - 3*y(w). What is the units digit of x(-5)? 5 Suppose -4*y + 2 - 14 = 0. Let v = y + 8. Suppose -3*d + 25 = v*q - q, 0 = -4*q + 3*d + 55. What is the tens digit of q? 1 Let n = 3 - -1. Suppose 2*x - 59 = -3*t + x, -n*t - x + 77 = 0. What is the tens digit of t? 1 Suppose 5 + 5 = 5*n, -4*h = 5*n - 310. What is the tens digit of h? 7 What is the hundreds digit of (154 - -6) + 2/(-1)? 1 Let s(q) = -18*q - 2. Let z be s(-2). Let h = z + -6. Let a = h + -13. What is the tens digit of a? 1 Suppose -201 = -5*t + 3*n, 29 = 2*t + 3*n - 43. Suppose g + 14 = 2*i, -4 = 5*i - g - t. What is the units digit of i? 7 Let j be ((-9)/2)/((-4)/16). Let u(c) = -c**2 + 6*c - 6. Let f be u(4). Suppose -f*a - a = -j. What is the units digit of a? 6 Let p(y) = 3*y + 1. What is the units digit of p(11)? 4 Suppose h - 2*h + 285 = 4*o, o = -4. What is the units digit of h? 1 Let a = -8 - -11. Suppose -3*j = 4*w + 45, 8*w + 65 = a*w + 5*j. What is the units digit of ((-10)/6)/(2/w)? 0 Let q be 4 + (7 - 4) - -2. Suppose 42 + q = 3*z. What is the units digit of z? 7 Let x(o) = 5*o**2 - o - 6. Let u be x(5). Suppose 10*t - u = 7*t. What is the tens digit of t? 3 Let v be (0 - 1)*-2 + 6. What is the units digit of (-228)/v*(-4)/6? 9 Let c = 9 + -3. Let w = c + 22. What is the tens digit of w? 2 Let k(y) = -7*y - 1. Suppose 5*x + 33 = 4*f, -4*x - 11 = 3*f + 3. Let m be k(x). Let h = m + -22. What is the units digit of h? 2 Let p = 67 - 18. What is the units digit of p? 9 Let m(j) = -j**3 - j**2 + 8*j - 3. Let z(w) = w**2 - w + 1. Let y(t) = -m(t) - 4*z(t). What is the units digit of y(5)? 9 Let r = 20 - 22. What is the units digit of 3 + r - (-29)/1? 0 Suppose 38 = 4*y + 246. Let j be y/(-14) + (-6)/(-21). Suppose -24 + 0 = -j*b + 4*c, -4 = 4*c. What is the units digit of b? 5 Let c = 34 - 23. What is the tens digit of c? 1 Suppose 5*i = 2*x - 84, 0 = -0*i + i. What is the tens digit of x? 4 Let z(l) = 3*l**2 + l - 1. Suppose -3*r + 4*n = 17, 3*r - n + 6*n = 1. What is the tens digit of z(r)? 2 Let d be (-6)/(-3) + -46 + 3. Let b = -8 - d. What is the tens digit of b? 3 Let p = 31 + -17. What is the tens digit of p? 1 Suppose 5*b - 4*b - 5 = 0. Suppose -2*f + b + 29 = 0. What is the units digit of f? 7 Let y(o) = -o + 1. Let s be y(-2). Suppose 0 = -0*u - s*u + 27. What is the units digit of u? 9 Suppose 4 = -4*b - 16, 3*m + 2*b - 8 = 0. What is the units digit of m? 6 Suppose 3*w + 0*w + 3*i - 21 = 0, 4*w - 3*i = 42. What is the units digit of w? 9 Let j(f) be the third derivative of -f**6/120 + 3*f**5/20 - f**4/3 + 4*f**3/3 - 2*f**2. What is the units digit of j(8)? 8 Let g = -166 + 533. What is the units digit of g? 7 Let j(k) = k + 2. Let s be j(2). Let w = 9 - s. Let d = w - 3. What is the units digit of d? 2 Let f(w) = -w**2 - 10*w - 11. Suppose 4*o - 40 = -4*k, 0 = -o - 4*k + 5 + 17. Let z = -2 - o. What is the units digit of f(z)? 5 Suppose 2*a + 582 = 5*a. What is the tens digit of a? 9 Let l = 12 + 4. Let s = 25 - l. What is the units digit of s? 9 Suppose 0 = 3*q - 11 - 4. Suppose 5*g = q - 15. What is the units digit of (-2)/8*g*14? 7 What is the tens digit of -1 - 2*-69 - -4? 4 Suppose 0 = 2*s - 4*s - 8. Let m = -3 - s. Suppose m = -2*t + 9. What is the units digit of t? 4 Let d = 19 - 10. Suppose -d + 41 = 2*a. What is the tens digit of a? 1 Let r be 4/(-3)*(-2 + 5). Let n = r - -7. Suppose -n*j - j + 12 = 0. What is the units digit of j? 3 Let o(a) = -a + 76. What is the tens digit of o(0)? 7 Let t(u) = -u**3 - 4*u**2 + 15*u. What is the tens digit of t(-7)? 4
{ "pile_set_name": "DM Mathematics" }
is the smallest common multiple of 3/(-2)*(-300)/25 and 18? 18 Suppose -4*h + 2*h = -372. Find the common denominator of h/(-44)*(-6)/(-9) and 65/6. 66 Suppose 2*v + 3*v = 2*p - 7, -5*v = 4*p + 1. Let h = 1207 - 10834/9. What is the common denominator of 222/21*v/2 and h? 63 What is the common denominator of (9/2)/((-310)/(-65) - 5) and 79/8? 8 Let x = -1947/2 + 5713/6. Calculate the common denominator of -28/9 and x. 9 Let n = -15 + 24. Find the common denominator of 7/3 + n + -6 and (-4)/6 + 40/3. 3 Let y(h) = -h**3 - 10*h**2 - 8*h + 5. Let o be y(-9). Let r(c) = c. Let i be r(o). Calculate the smallest common multiple of i/6*(2 + -5) and 16. 16 Let b(d) = -4*d + 2. Let z be (14/4 - 1)*2. Calculate the lowest common multiple of (8/(-5))/((-2)/z) and b(-4). 36 Let l(x) = -x**2 - 5*x + 2. Let f(g) = -1. Let m(j) = 2*f(j) - l(j). Calculate the least common multiple of 2 and m(-7). 10 Calculate the common denominator of 62/(-5) + (-12)/(-8) and -27/17. 170 Let l be ((-3590772)/40)/(1 + 0). Let t = 90180 + l. Let y = -409 + t. Calculate the common denominator of 79/4 and y. 20 Let a = 35 - 11. Calculate the common denominator of -45/11 and (-5)/a*21/1. 88 Let u = -18 + 66. Calculate the common denominator of 2/8 - (-364)/u and 6/5. 30 Let p(h) = h**2 + 3*h - 4. Let q be p(3). Find the common denominator of (236/q)/((-24)/(-6)) and 119/6. 42 Calculate the common denominator of 90/(-408) - (-3 - -2) and -61/12. 204 Suppose 7*t - 69 = -27. What is the lowest common multiple of 104 and t? 312 Let y = -1550 + 6263/4. Let v = 367/5 + -3792/55. What is the common denominator of y and v? 44 Let h = 3 - 1. Let f = -1489/2 - -3684/5. Find the common denominator of f and h*1 + 604/(-88). 110 Let r = 9811/14 + -702. Let f be 52/(-10) + (-1)/(-5). Calculate the common denominator of r and 2900/72*(-1)/f. 126 Let m = -79 - -99. Suppose -4*j - 2*u + 84 = 0, 0*u + 80 = 4*j + 4*u. What is the lowest common multiple of j and m? 220 Let i(v) = 16*v**2 - 7*v. Let j(r) = 1. Let a(t) = -i(t) - 4*j(t). Let w be a(5). Calculate the common denominator of ((-2)/(-3))/((-48)/w) and 43/22. 88 Let r = -36/67 - -4159/134. Calculate the common denominator of 25/12 and r. 12 What is the lowest common multiple of ((3 - -1) + 4)*2 and 4? 16 Let r(u) = -u - 1. Let b be r(3). Let h = 6 - b. Calculate the least common multiple of h and 9. 90 Let v = -1052 - -8433/8. Find the common denominator of v and (-291)/(-60) + (-2)/(-5). 8 Suppose c + 4*h = -6, -2*c - 5*h - 4 = -1. Calculate the lowest common multiple of 32 and c. 96 Let f be -2 + 45 + (-5)/5. Suppose 12 - 124 = 4*o. Let z = f + o. What is the least common multiple of 20 and z? 140 Calculate the common denominator of 4/(-66)*2*30/(-16) and 47/2. 22 Let p = -24831/9427 + -2/857. Find the common denominator of p and -17/7. 77 Let b be (-4 - (-9)/3) + 9. Suppose 0 = k + 3*v - 4, -2*k + b = v - 4*v. Calculate the smallest common multiple of k and 2. 4 Let m be 33*(-5)/((-10)/8). Calculate the common denominator of (-458)/m - 4/6 and 20/70 + (-614)/140. 110 Let d = 48 - 24. Find the common denominator of (-45)/6*d/(-110) and 25/(-4)*28/(-30). 66 Suppose -2*u - 2*a = -36, 5 = 5*a - 5. Suppose 3*d = 2*i + u, 2*d = -i - 0*i + 6. Calculate the common denominator of 5/12 and (395/(-10))/(-1 - i). 12 Let c = 2/509 + 18825/2036. Let r = 49753/10 - 4963. What is the common denominator of r and c? 20 Let m = -90341/22 - -4103. What is the common denominator of m and (-2)/(-5) - 1623/570? 418 Let r(h) = -10*h + 5. What is the lowest common multiple of r(-4) and 9? 45 Find the common denominator of 0 - 0 - 291/(-60) and 81/8. 40 Suppose 0 = -5*d + p - 2 + 4, -4*p = -12. Suppose -3*z - d = -28. Calculate the lowest common multiple of z and 2. 18 Let f(k) = 2*k + 0*k**2 + 5*k**2 - 3 + k**3 + 5. Suppose -4*d - 4*p = -p + 1, -15 = -3*p. Calculate the smallest common multiple of f(d) and 11. 110 Suppose -2*y + 5*y = 150. What is the least common multiple of 10 and y? 50 Let d = -174703/18 + 9703. What is the common denominator of -83/42 and d? 126 Let c = -4352/9373 - -2/721. Let b = c - -971/104. What is the common denominator of 3/11 and b? 88 Calculate the common denominator of 5/9 and (-8)/144*(-1 - 255/(-9)). 27 Let b = 31 + -53. Let z = b + 313/12. Find the common denominator of -121/6 and z. 12 Suppose -4*n = -0*n. Suppose l - 4 + 3 = n. Calculate the lowest common multiple of 1 and l. 1 Suppose -5*n - 4 = -4*n. Let p = 10 + n. Calculate the smallest common multiple of p and 18. 18 Suppose -2*b + 0 - 4 = 0. Let l = 8 + b. Suppose 0 = -2*x + l + 8. Calculate the lowest common multiple of 3 and x. 21 Calculate the common denominator of (-2 + 15 + 6)*(-1)/(-18) and 29/30. 90 Let y = -1364/16209 - -79368193/7618230. Let l = 83/47 + y. Calculate the common denominator of 2/5 + (-1011)/(-60) and l. 20 Let n(y) = 5*y**2 + 15*y - 6. Let g(i) = 6*i**2 + 15*i - 7. Let p(w) = 6*g(w) - 7*n(w). What is the common denominator of -43/7 and p(12)? 7 Let f = -2819 + 107131/38. Find the common denominator of -101/16 and f. 304 Let w = -7943319731851 - -75826929639047593/9546. Let z = w + 54599. Let a = 241829/28638 + z. Calculate the common denominator of -67/4 and a. 36 What is the lowest common multiple of 13/26 - (-3)/2 and 10? 10 Let f(q) = -7*q - 24. What is the least common multiple of f(-6) and (54/8)/(9/24)? 18 Let a(s) = 2*s - 4. Let q be a(3). Suppose 4*c - 31 = -2*i + 9, 2*i - q*c = 22. What is the smallest common multiple of i and (-1 - 1)*66/(-11)? 84 Let q(l) = -l**2 - 5*l + 1. Let g be q(-4). Suppose 4*m - 53 = h + 176, -g*h + 5*m = 1130. Find the common denominator of (-2)/(-5)*h/24 and -89/22. 44 Let r(w) = -w**2 - 4*w - 1. Suppose -3*c - 17 = d, 3*d + 37 = -3*c - 2*d. Let z be r(c). What is the smallest common multiple of 12 and 8*(3/(-6))/z? 12 Let j(m) = -209*m**2 + 1. Let a be j(-3). Let d = -12486/97 - 1533134/873. Let g = d - a. Calculate the common denominator of 75/2 and g. 18 Let m(z) = -z + 3. Calculate the lowest common multiple of 16 and m(-7). 80 Let u be (364/114)/((-4)/(-23109)). Let s = -18450 + u. Let w = s - -42/95. Find the common denominator of 23/16 and w. 80 Let b = -26 + 40. Calculate the lowest common multiple of b and 24. 168 Suppose -5*j = 4*c - 18, 2*j = 2*c - 0*j - 18. Calculate the smallest common multiple of c and 8. 56 Let t = 29 - 18. Suppose -5*z - 25 - 4 = 4*y, -2*z + y = 22. Calculate the lowest common multiple of t and 70/9 + (-2)/z. 88 Find the common denominator of 15/8 and (-4 - 58/24) + 0. 24 Let f = -8 - -13. Let t = -2 - 5. What is the smallest common multiple of 0 - (-2)/1 - t and f? 45 Let w be 1/2*50388/(-14). Let q = w - -1803. What is the common denominator of q and -3/4? 28 Let u be 2 - 3/(-4 + 1). Suppose 0 = c + 4, n + u*c + c = -7. What is the smallest common multiple of 10 and n? 90 Let o be (2/399)/((-10)/(-30)). Let h = o - 4661/399. What is the common denominator of 3/8 and h? 24 Let y = -1/190 + 6083/570. What is the common denominator of -9 - (3 - (6 + -2)) and y? 3 Let i(s) = 3*s**2 + 5*s + 5. Let w = -9 - -5. Let b be i(w). What is the lowest common multiple of 22 and b/4 - (-3)/(-12)? 88 Let c = 154433 - 1391947/9. Let j = 822400541/126 + -6526758. Let p = c + j. Find the common denominator of -99/16 and p. 112 Calculate the lowest common multiple of 1/(68/(-36) - -2) and 9. 9 Let n(b) = b**3 - 9*b**2 + 2*b + 2. What is the least common multiple of n(9) and 2? 20 Let p be (-15)/9*(-6)/2. Suppose 5*l = 2*j - 22, -p*j + 8*l = 3*l - 55. Let b = -9 + j. What is the lowest common multiple of 14 and b? 14 Let j be (-2)/10 - 6572/80. Let t be (0 + -60)*(-96)/(-100). Let q = j - t. Calculate the common denominator of -81/8 and q. 8 Suppose -3*a = a - 12. Calculate the common denominator of 10/11 and (a*2)/((-24)/15). 44 Let z = 236/345 + -28/23. Let q = z + 41/30. Find the common denominator of -41/5 and q. 30 Let i(a) = -2*a + 30. Calculate the lowest common multiple of 16 and i(14). 16 Suppose 29 = -3*w - u, -5*w - 5*u = -7*w + 9. Calculate the common denominator of (-37)/(-66) - (-4)/6 and (-1)/(-28) - (-2)/w. 154 Let h be (-2)/6*3261/(-92). Let z = h - 36/23. What is the common denominator of z and 73/18? 36 Suppose 2*p - p = 3. Let w = 40 + -22. Calculate the lowest common multi
{ "pile_set_name": "DM Mathematics" }
+ 20 = 0, 0*t + b + l = 2*t. What is the derivative of t + 7*m**3 + 0 - 2 wrt m? 21*m**2 What is the first derivative of 291*u**3 - 562 - 223*u - 211*u + 434*u wrt u? 873*u**2 Suppose 4*w - 2*w = 5*l - 48, -2*w + 32 = 5*l. Find the third derivative of 2*j**2 - 797*j**6 + 819*j**6 + l*j**2 wrt j. 2640*j**3 Let l(f) be the third derivative of 1/10*f**6 + 0*f**5 + 0*f**4 + 0 + 0*f - 3*f**2 + 5/6*f**3. Find the first derivative of l(w) wrt w. 36*w**2 Let g(t) be the first derivative of -18*t - 2/3*t**3 + 3 + 0*t**2. What is the first derivative of g(v) wrt v? -4*v What is the first derivative of 369 - 178*z - 305*z - 226*z - 305*z + 1523*z wrt z? 509 Let g(o) be the first derivative of 193*o**4/4 + o**2 - 158*o + 238. Find the first derivative of g(s) wrt s. 579*s**2 + 2 Let a(l) be the first derivative of 23*l**6/120 + 6*l**3 - 12*l**2 - 23. Let o(r) be the second derivative of a(r). Differentiate o(v) with respect to v. 69*v**2 Differentiate -48*o**2 + 240*o**2 - 78 - 407*o + 407*o with respect to o. 384*o Let z(j) = 9*j**3 + j - 17. Let x(y) = -2 + 5 - 2 - y + 0. Let c(h) = x(h) + z(h). What is the first derivative of c(d) wrt d? 27*d**2 Suppose -r + 1 - 2 = 0. Let j = r - -5. Find the second derivative of -l - 2*l**j + l**4 + 0*l**4 - l**4 wrt l. -24*l**2 Suppose 0 = -16*x + 678 - 182. Find the first derivative of -x*m**3 + 5 + 13 + 3*m**3 + 3 wrt m. -84*m**2 Let p(o) be the second derivative of -o**8/56 + 13*o**6/6 + o**4/6 + 189*o. What is the third derivative of p(h) wrt h? -120*h**3 + 1560*h What is the second derivative of 79*l**5 - 10*l**2 + 12*l**2 + 31*l - 4*l**2 wrt l? 1580*l**3 - 4 Let d be (-5)/(3 + 7)*4*-1. Find the third derivative of d*t**6 - 7*t**2 - 7*t**2 - 4*t**6 wrt t. -240*t**3 Let b(f) be the second derivative of 161*f**4/12 + f**3/6 + 29*f**2/2 - 2*f + 24. What is the second derivative of b(u) wrt u? 322 What is the derivative of 940088*k**2 + 827 - 322*k**4 - 940088*k**2 wrt k? -1288*k**3 Let t(q) = -q**2 - 6*q + 4. Let c be t(-6). Differentiate -2*n**4 - 16*n**4 + 2 - 3*n**c with respect to n. -84*n**3 What is the third derivative of -3*f**4 + 5*f + 13*f**4 - 41*f**4 - 42*f**4 - f**2 - f**4 wrt f? -1776*f Let y(m) = -203*m - 255. Let k(r) = -205*r - 255. Let f(i) = -3*k(i) + 2*y(i). What is the derivative of f(o) wrt o? 209 Let v(d) be the third derivative of -d**6/24 + 7*d**5/60 + 295*d**3/6 + d**2 - 363*d. Find the first derivative of v(z) wrt z. -15*z**2 + 14*z Let h be (45/(-27))/(1/(-3)). Suppose 0 = -h*b - 20, 3*d + 4*b = -0*b - 7. What is the derivative of -d*t**2 + 6*t**3 - 10 + 2*t**3 + 3*t**2 wrt t? 24*t**2 Differentiate 40*k**2 + 44 - 37*k**2 + 21*k**2 - 41 + 122 wrt k. 48*k Let z(n) be the third derivative of -n**6/24 - 7*n**4/12 - n**3 - 13*n**2. Let h(t) be the first derivative of z(t). Differentiate h(f) with respect to f. -30*f Let r(f) be the second derivative of 11*f**7/420 + 9*f**4/8 + 35*f**3/6 + 12*f. Let n(c) be the second derivative of r(c). Differentiate n(k) wrt k. 66*k**2 Let x(h) be the third derivative of -31*h**7/210 - h**6/60 + 7*h**5/20 - 2*h**3/3 - 4*h**2 + 32*h. What is the third derivative of x(y) wrt y? -744*y - 12 Let x(g) be the second derivative of -g**8/70 - g**5/40 + 25*g**3/6 + 8*g. Let l(f) be the second derivative of x(f). Find the second derivative of l(c) wrt c. -288*c**2 What is the third derivative of 11*f - 62*f**3 - 3 - 11*f - 64*f**3 - 38*f**2 + 4 wrt f? -756 Let s(b) be the first derivative of b**5/5 + 7*b**3/6 + 2*b - 5. Let u(c) be the first derivative of s(c). What is the second derivative of u(r) wrt r? 24*r Suppose 0 = 4*t - 16, 2*i = -0*i - 2*t + 7398. Find the third derivative of 9*o**2 - 12*o**6 + 3695*o - i*o - 4*o**6 wrt o. -1920*o**3 Let k(h) be the second derivative of h**7/420 - 7*h**4/24 - 5*h**3/3 - 17*h. Let g(i) be the second derivative of k(i). What is the derivative of g(z) wrt z? 6*z**2 What is the first derivative of -23 + 3*a - 11 - 38 - 6*a**2 - 3 - 8 wrt a? -12*a + 3 Let d(u) be the second derivative of u**8/1680 - u**7/2520 + 5*u**4/6 + u. Let r(k) be the third derivative of d(k). What is the third derivative of r(l) wrt l? 24 What is the second derivative of 76*n**2 + 495*n + 198*n**2 + 47*n**2 - 7*n**2 - 42*n**2 wrt n? 544 Let y be -3 + 5 + -1 - -4. Suppose y = r - a, 4*a - 2*a + 6 = 0. What is the derivative of -4*f - 1 + r*f - f wrt f? -3 Let s be (-9 + ((-4)/1 - -6))/(-1). Let b(g) be the first derivative of 0*g**2 + s*g - 3/2*g**4 + 0*g**3 - 1. What is the first derivative of b(y) wrt y? -18*y**2 Let z(d) = 5*d - 8. Let a be z(-8). Let n be (-1)/8 - 246/a. Find the second derivative of -5*o**n + 10*o - 14*o + 0 + 0 wrt o. -100*o**3 Let i(q) = -q**3 + 8*q**2 + 8*q + 9. Let u be i(9). Suppose v - 2*y = y - 2, u = 5*v + 3*y - 26. What is the derivative of n**4 + 4*n + 4 - 4*n + 4*n**v wrt n? 20*n**3 Let f be (-230)/(-70) + (-2)/7. What is the second derivative of 3*v**3 + v**3 + v**f + 15*v - 2*v**3 wrt v? 18*v Let n(b) = 26*b**2 - 18. Suppose 4*j = 5*v + 68, 5*v + 50 = -2*j - 3*j. Let c(x) = -x**2. Let y(k) = v*c(k) - n(k). Find the first derivative of y(g) wrt g. -28*g Let w(c) = c**3 - 5*c**2 - 5*c + 1. Let d be w(6). Let o = 9 - d. Find the second derivative of 0*j + 3*j - 5*j**4 - 2*j + o*j wrt j. -60*j**2 Let n(r) be the second derivative of 0*r**3 + 0 - 7*r + 0*r**2 + 1/5*r**5 + 5/12*r**4. Find the third derivative of n(i) wrt i. 24 Suppose 51*u = 58*u. Let o(a) be the second derivative of 0*a**4 + u - 4*a + 1/6*a**6 + 0*a**5 + 5/6*a**3 + 0*a**2. Find the second derivative of o(f) wrt f. 60*f**2 Find the first derivative of -86*v**3 - 14*v**4 - 86*v**3 + 172*v**3 + 10*v + 8*v - 224 wrt v. -56*v**3 + 18 Suppose 0 = 6*n - 2*n - 4. Let h be 3 - (n + 0 - 0). Find the third derivative of 7*g**2 - 7*g**h + g**3 - 7*g**2 wrt g. 6 What is the second derivative of 304*q**3 + 117*q + 202*q + 168*q**3 + 45*q + 11*q**3 wrt q? 2898*q Let u(x) = -583*x**2 + 22*x + 992. Let m(t) = 291*t**2 - 12*t - 496. Let f(i) = 11*m(i) + 6*u(i). Differentiate f(p) wrt p. -594*p Find the first derivative of -48 - 39 - 5 - 68*r**3 + 181*r**3 wrt r. 339*r**2 Let q(k) be the first derivative of -531*k**7/7 - 266*k**3/3 - 95. Find the third derivative of q(p) wrt p. -63720*p**3 Let x(h) be the third derivative of 263*h**6/120 + 251*h**5/60 + 16*h**2 + 1. Find the third derivative of x(s) wrt s. 1578 Let w(p) = -p**2 - 7*p + 4. Let k be w(-6). What is the second derivative of k*g + 27*g**2 + 0*g - g + 5*g wrt g? 54 Let c(k) be the first derivative of 11*k**4/8 - 5*k**3/6 + 33*k**2/2 + 20. Let l(r) be the second derivative of c(r). Differentiate l(d) with respect to d. 33 Let y(w) be the first derivative of -161*w**6/6 + 41*w**3 - 131. What is the third derivative of y(k) wrt k? -9660*k**2 What is the third derivative of 8*u**2 + 203*u**4 + 204*u**4 - 12*u**2 + 0*u**2 wrt u? 9768*u Suppose 3*i = -j + 5*j - 23, 2*i = -j - 8. Differentiate -j*y**3 - 2 - 11*y**3 + 2 - 7 with respect to y. -39*y**2 Let c(l) be the second derivative of l**4/12 + l**2/2 + 3*l. Let w(x) = -7*x**3 - x**2 - 2. Let t(f) = -2*c(f) - w(f). Find the third derivative of t(m) wrt m. 42 Let d = 30 - 22. Suppose 4*y + d = 24. Find the third derivative of -9*h**2 + 31*h**2 - y*h**6 - 11*h**2 wrt h. -480*h**3 Let d(f) be the first derivative of 7*f**6/15 + 21*f**2/2 - 25*f - 18. Let m(s) be the first derivative of d(s). Find the first derivative of m(k) wrt k. 56*k**3 Find the third derivative of 39*w**2 + 51*w**2 + 160*w**4 + 39*w**2 wrt w. 3840*w Let d be 1*-7*8/(-112). Let v(m) be the second derivative of 0*m**2 + d*m**3 + 0 + 2*m - 1/4*m**4. What is the second derivative of v(k) wrt k? -6 Find the second derivative of -181*y**2 - 2 + 193*y - 3 + 8 - 5 - 57*y wrt y. -362 Suppose -2*f - 12 = -42. Suppose 5*v - 40 + f = 0. Find the second derivative of 5*q**4 + 0*q**3 + 0*q**3 + v*q**4 - 11*q wrt q. 120*q**2 Let f(v) = v**2 + 10*v + 12. Let o be 97/(-11) - (-8)/(-44). Let t be f(o). What is the third derivative of 5*g**5 - 5*g + g**2 - t*g**5 + 5*g wrt g? 120*g**2 Let w(q) = -107*q**2 + 3*q + 40. Let h(z) = 534*z**2 - 16*z - 202. Let f(o) = 3*h(o) + 16*w(o). Differentiate f(b) wrt b. -220*b Let o(x) be the second derivative of 205*x**4/12 - 15*x**3 - 284*x. Find the second derivative of o(l) wrt l.
{ "pile_set_name": "DM Mathematics" }
vide -21885600 by -729520. 30 Calculate 7950 divided by -1272. -25/4 What is -87696048 divided by -4? 21924012 Divide 1 by 55516319. 1/55516319 What is 31 divided by 10112950? 31/10112950 Calculate 1017242 divided by 2. 508621 -11 divided by -33522057 11/33522057 What is -9542841 divided by -29183? 327 What is 2 divided by -74668981? -2/74668981 Divide -7965176 by 995647. -8 What is -116738800 divided by -1268900? 92 What is 2 divided by -450493? -2/450493 What is -909659832 divided by 454829916? -2 What is 140143740 divided by 28028748? 5 Calculate 19686182 divided by -4. -9843091/2 1772 divided by 18353 1772/18353 Calculate 19173084 divided by -9586542. -2 Divide -535078 by -14081. 38 Divide -204340302 by 9. -22704478 Calculate -76 divided by 2418. -38/1209 12906932 divided by -3226733 -4 57694260 divided by -14423565 -4 Divide -69863 by 4146. -69863/4146 11897670 divided by -34 -5948835/17 -42901 divided by -22 42901/22 What is 80 divided by -410087? -80/410087 What is -6732960 divided by -28054? 240 Divide -724293 by -10497. 69 Calculate 70613174 divided by 3070138. 23 15648823 divided by -2 -15648823/2 Calculate -412560 divided by -1528. 270 -428 divided by 246391 -428/246391 1 divided by -36206218 -1/36206218 Calculate 570840 divided by 536. 1065 -17729493 divided by 55929 -317 Calculate 57268920 divided by -136680. -419 Calculate -87958990 divided by -2377270. 37 Divide -39 by 4979150. -39/4979150 Divide -16959 by -1359. 5653/453 Divide -568 by -16967. 568/16967 What is 18620320 divided by -4640? -4013 5 divided by 33982088 5/33982088 Calculate -116507028 divided by 121. -962868 What is 79746 divided by 82? 39873/41 Calculate -896109 divided by -658. 896109/658 What is 126546195 divided by -14? -126546195/14 Calculate -10504614 divided by -6. 1750769 What is 3459150 divided by -5? -691830 Calculate -31 divided by 1604890. -31/1604890 Calculate 63735000 divided by 3000. 21245 Divide 73938 by -84. -12323/14 What is 21341940 divided by -388? -55005 What is -116912723 divided by -2? 116912723/2 What is -818 divided by 1293162? -409/646581 Calculate -10947045264 divided by 4. -2736761316 Calculate -325795360 divided by 814. -400240 -145048328 divided by 4 -36262082 Divide -16050760 by -1605076. 10 Divide -7574656 by 2176. -3481 9399231 divided by -16461 -571 Calculate -10811600 divided by 8. -1351450 Calculate 121414705 divided by 395. 307379 Divide 2 by -81369944. -1/40684972 Divide -23664534 by -74. 319791 218 divided by -10842 -109/5421 Calculate -60011949 divided by -3. 20003983 Divide 2845449 by 10. 2845449/10 Calculate -456681170 divided by -22. 20758235 What is 1201239340 divided by 7? 171605620 What is -93146 divided by -46573? 2 Divide -306558 by 42. -7299 -56484084 divided by -6 9414014 Divide 777140 by -3185. -244 Divide -42 by 5981. -42/5981 What is -12534499 divided by -1091? 11489 Calculate 4495479 divided by 39783. 113 Divide -81856620 by 4092831. -20 47 divided by -190571 -47/190571 Calculate 203840988 divided by -101920494. -2 Calculate 1124707 divided by -2. -1124707/2 2 divided by -1324782 -1/662391 Divide -19710 by 63. -2190/7 Divide -554190 by -609. 910 Divide 2182755 by -7. -2182755/7 Calculate -64010 divided by -366. 32005/183 Calculate -85414224 divided by -21353556. 4 5096838 divided by -1698946 -3 110 divided by -88426 -55/44213 Calculate 47917276 divided by 4. 11979319 What is 2895928 divided by -2? -1447964 Calculate -127136845 divided by 25427369. -5 46850 divided by -468 -23425/234 Calculate -24698013 divided by -4. 24698013/4 Calculate 1756765 divided by -1. -1756765 Calculate -49579780 divided by 5. -9915956 Calculate -15688728 divided by 594. -26412 Divide 13205106 by 2. 6602553 Calculate 179554194 divided by -29925699. -6 Divide -16 by -4917789. 16/4917789 439570 divided by -5 -87914 Calculate -14705725 divided by -588229. 25 6642996 divided by 6 1107166 Divide -21 by 4693956. -7/1564652 What is 10034775 divided by 32475? 309 What is -2714958 divided by -1? 2714958 Divide 8893814 by -6. -4446907/3 What is -40232416 divided by 613? -65632 What is 29082181 divided by 29082181? 1 What is -3674350 divided by 25? -146974 125618 divided by -25 -125618/25 40128550 divided by -1489 -26950 Calculate -326 divided by -10891. 326/10891 What is 210015270 divided by 30? 7000509 Calculate 3095048 divided by 4. 773762 Calculate 398 divided by -17603. -398/17603 Divide -580933333 by -25257971. 23 3 divided by 115999086 1/38666362 What is -212995245 divided by -212995245? 1 66683958 divided by -22227986 -3 Calculate -32785 divided by 1354. -32785/1354 Calculate -28 divided by -6419. 4/917 Calculate 17270835 divided by 5756945. 3 Calculate -47965735 divided by -9593147. 5 -38745789 divided by 3 -12915263 Calculate 3423 divided by -1162. -489/166 5788098 divided by 16 2894049/8 Divide 4467680 by -70. -63824 -5 divided by 7017985 -1/1403597 What is -35775117 divided by 11925039? -3 Divide 240427600 by 10102. 23800 Calculate 2619474 divided by -78. -33583 -10803240 divided by -4 2700810 Divide 67431411 by 7492379. 9 What is 1636 divided by -5798? -818/2899 What is -892926 divided by -6? 148821 What is 20490885 divided by -5? -4098177 Calculate -273 divided by 4736051. -273/4736051 Divide 83840942 by 10814. 7753 Calculate 4 divided by -8201886. -2/4100943 Divide -15589605 by -5. 3117921 Calculate 157040163 divided by -7. -22434309 -13178275 divided by 1903 -6925 -1040987224 divided by 8 -130123403 Calculate 162194715 divided by -45. -3604327 What is 77 divided by -597765? -11/85395 27258344 divided by 368356 74 3154144 divided by 16 197134 What is -15679 divided by -307? 15679/307 -591254 divided by 2927 -202 Calculate 5859539 divided by 4. 5859539/4 What is -58 divided by -14? 29/7 34507 divided by -3137 -11 What is -3368037 divided by -3368037? 1 Divide -8369243 by 9. -8369243/9 What is -112185 divided by 51? -37395/17 Divide 17949261 by -3. -5983087 Calculate -3660585 divided by 3660585. -1 What is 2168644 divided by -148? -14653 -166968776 divided by 1605469 -104 Calculate 130739 divided by 6. 130739/6 Calculate -13565 divided by 181. -13565/181 1132240407 divided by -359 -3153873 Divide -120254624 by 196. -613544 What is -5612138 divided by -34858? 161 Calculate 124283607 divided by -17754801. -7 -86531406 divided by 244439 -354 What is 266802924 divided by -6? -44467154 Divide 18415890 by 19. 18415890/19 Divide 272444276 by -4. -68111069 Divide -433978353 by 2. -433978353/2 What is -27984275 divided by 27984275? -1 -5 divided by -9661523 5/9661523 Divide 25792936 by -41. -629096 Calculate 13 divided by -354672. -13/354672 Calculate 21 divided by 19485275. 21/19485275 Calculate -1 divided by 4275896. -1/4275896 Calculate 48907560 divided by -2140. -22854 Calculate -1136952 divided by -4. 284238 Calculate 194 divided by 3244614. 97/1622307 108 divided by -100361 -108/100361 Divide 2810858 by -1. -2810858 Calculate 55242 divided by -634. -27621/317 -8379410 divided by 5590 -1499 211327155 divided by -1638195 -129 What is -148307534 divided by 1? -148307534 29376 divided by 70 14688/35 -4 divided by -41590801 4/41590801 What is -941734 divided by -10? 470867/5 298513260 divided by 732 407805 Divide 2072720 by 5. 414544 -3102110 divided by 11 -282010 407 divided by 27692 407/27692 What is 39351654 divided by 1? 39351654 Divide -8 by -43822995. 8/43822995 Divide -655 by -600. 131/120 Divide 98 by -2192442. -7/156603 What is -386413 divided by -6? 386413/6 Calculate -165880698 divided by -2. 82940349 What is 5240436 divided by 3? 1746812 -4015 divided by 350172 -4015/350172 Divide 18296204 by -2. -9148102 -486920 divided by 8695 -56 Calculate -38642286 divided by 654954. -59 -87796709 divided by -3 87796709/3 Divide 7092 by 1075. 7092/1075 What is 4 divided by 47353977? 4/47353977 Calculate 9 divided by -613280. -9/613280 Calculate -7380277 divided by -5. 7380277/5 Divide -85 by -104580. 17/20916 Calculate -100870768 divided by -6. 50435384/3 Divide 233960724 by -3965436. -59 Divide 4128548 by -2. -2064274 -56234275 divided by -25 2249371 Divide 34475598 by 3. 11491866 Calculate -348810592 divided by 104. -3353948 What is -3366428 divided by -52? 64739 -1865374 divided by -14 133241 Divide -17319771 by -1. 17319771 Calculate 0
{ "pile_set_name": "DM Mathematics" }
j. List the prime factors of b. 29 List the prime factors of 2 - (-132)/(-154) - (2 - (-1112094)/(-21)). 2, 3, 1471 Suppose -5*l + 194 = 184. Suppose l*w - 5*b = 277, -4*w = 3*b + b - 484. What are the prime factors of w? 2, 3, 7 Suppose 5*p + 2*o - 27223 = 0, 4*p - 95*o - 21760 = -92*o. List the prime factors of p. 5443 Suppose -2*h - 4308 = 13*u - 14*u, -2*h - 8610 = -2*u. What are the prime factors of u? 2, 3, 239 Let j(s) = -s**2 + 3*s + 4. Let x be j(3). Suppose -2*c - 260 = 4*k - 1472, -2*c + x*k = -1188. Suppose -a - c = -7*a. What are the prime factors of a? 2, 5 Suppose 25310 = 4*k - 5*o, 42*k + 3*o - 6336 = 41*k. List the prime factors of k. 2, 3, 5, 211 Suppose -2*g - 3*k = -2*k + 1, k = -1. Let p = -40 + 42. Suppose -232 = -p*m - g*m. What are the prime factors of m? 2, 29 Let r(m) = -45*m + 76. Let b(f) = -f**2 + 6*f + 32. Let t be b(10). What are the prime factors of r(t)? 2, 109 Let w = 12924 + -8497. What are the prime factors of w? 19, 233 Suppose -146*d + 142*d + 12*s = -58864, 4*d = -2*s + 58878. What are the prime factors of d? 41, 359 Let o(i) = 3*i**3 - 3*i**2 - 2*i + 4. Let l be o(2). Suppose l*a - 439 = 11*a. List the prime factors of a. 439 What are the prime factors of (-5 - 15)*(-4)/(-10)*640388/(-112)? 2, 22871 Let k(m) be the second derivative of -m**3/2 + 3*m**2/2 + 6*m. Let r be (-3 - -6)/(-1 - 0). What are the prime factors of k(r)? 2, 3 Let v(o) = -o**3 + 66*o**2 + 325*o - 170. What are the prime factors of v(65)? 2, 5, 1259 Let n(y) = -y**2 + 11*y - 59. Let x be n(21). Let f = x - -334. What are the prime factors of f? 5, 13 Let g(h) = 31 - 14 + 20*h - 5 + 57. Let w be g(-13). Let i = -133 - w. List the prime factors of i. 2, 29 Let q = -18465 - -26585. List the prime factors of q. 2, 5, 7, 29 Let h(b) = -4911*b - 195. List the prime factors of h(-2). 3, 3209 Let g = 7794 + -6120. List the prime factors of g. 2, 3, 31 Let v(a) = -3*a + 8. Let f(y) = -5*y + 10 - 22 + 3*y + 11. Let k be f(3). List the prime factors of v(k). 29 Let j be (-9 - -6)*(-4)/(-6). Let f(a) = -42*a**2 - 4*a - 2. Let b be f(j). Let s = -99 - b. What are the prime factors of s? 3, 7 Suppose -11774 = -5*n + 4*g, 5*n = -0*n + 2*g + 11782. What are the prime factors of n? 2, 3, 131 Suppose t - 17 = -2*w, -28*w - 42 = -33*w - 3*t. Suppose -4173 - 3792 = -w*r. List the prime factors of r. 3, 5, 59 Let t be 0 - 0/(-3)*1. Suppose t = 11*i - 439 - 364. What are the prime factors of i? 73 Let y(x) = 51*x**2 - 24*x + 439. What are the prime factors of y(-22)? 113, 227 Let r be (((-1 + 7)/(-3))/(-2))/(-1). What are the prime factors of (((-794)/5)/r)/(168/420)? 397 Let a(b) = 18*b**2 + 105*b + 2307. What are the prime factors of a(-36)? 3, 5, 31, 47 Suppose 23 - 11 = 2*i. Let p(u) = -18*u - 35. Let q(d) = 6*d + 12. Let r(b) = i*p(b) + 17*q(b). List the prime factors of r(-6). 2, 3, 5 Suppose -322861 - 58100 = -21*t. What are the prime factors of t? 3, 6047 Let n = 50268 + -21821. What are the prime factors of n? 28447 Let x(l) = -16*l - 49. Let a be x(-14). Let b = 244 - a. What are the prime factors of b? 3, 23 Let y(o) = 12*o - 9. Let b be y(1). Suppose -b*w - 10 = -19. Suppose 3*m - w*h = -8*h + 134, 58 = m - h. List the prime factors of m. 53 Let u = 31 - 28. Suppose 0*i - f + 1 = i, 2*i - 17 = u*f. Suppose i*v = 5*v - 74. List the prime factors of v. 2, 37 Let s be ((-105)/25)/7*-125. Suppose 3*q = s + 216. Suppose q = 5*d - 2*a, 3*d + d = -2*a + 74. What are the prime factors of d? 19 Let m = -127 - -210. Suppose 0 = -p + 69 + m. Let t = p - 92. What are the prime factors of t? 2, 3, 5 Suppose -6*c = -0*c - 2592. What are the prime factors of ((-36)/8)/(428/c - 1)? 2, 3 Let h(b) = 6*b**3 - 2*b - 1. Let u be h(-1). Suppose 2*g + 16 = -4*r - 0*g, -r - 5*g = 22. What are the prime factors of r - (-5)/(u/(-86))? 2, 3, 7 List the prime factors of (6/(-60) - (-25499)/(-10))/((-42)/28). 2, 5, 17 Let f = 5 - 7. Let s = 1192 + -1240. What are the prime factors of (s + f)*9/(-3)? 2, 3, 5 Let j = 141 + -135. Suppose -j*h + 12600 = 2868. What are the prime factors of h? 2, 811 Let i = 66 + -69. Let h(c) = -73*c - 19. List the prime factors of h(i). 2, 5 Suppose 79*c - 16648 = 985850 + 356460. What are the prime factors of c? 2, 3, 47, 61 Let m(n) = 9063*n - 3777. List the prime factors of m(2). 3, 4783 Let m be (-2*60/8)/(12/16). Let b(f) = -12*f + 92. What are the prime factors of b(m)? 2, 83 Let t be (42/(-10))/(2/(-10)). Let q be (-5)/(-10)*6 + t. Suppose -q = 7*f - 360. List the prime factors of f. 2, 3 Let m = 359 - 116. List the prime factors of m + (-60)/(-10) + 0/1. 3, 83 Suppose -5*p + 20 = 4*u, -p + 0 = -3*u - 4. Suppose -25*y + 24*y + 820 = u. What are the prime factors of y? 2, 5, 41 Let w be (2/(-15)*9)/(3/(-15)). Let t(i) = i**3 + 2*i**2 + 7*i - 15. What are the prime factors of t(w)? 3, 5, 7 Let f(q) = -280*q**2 + 2*q + 4. Let r be f(-1). Let b = 578 + r. What are the prime factors of b? 2, 3, 5 Let j(g) = 7*g + 10. Let p be j(-6). Let n = p - -29. What are the prime factors of (-1 - 1) + (-171)/n? 5, 11 Suppose 0 = 11*p - 2804 - 5908. Let d = 170 + p. List the prime factors of d. 2, 13, 37 Let o(w) = -4*w - 4. Let v be o(3). Let t(f) = f**2 + 12*f - 145. Let x be t(8). Let i = x - v. What are the prime factors of i? 31 Let m(g) = 12*g**2 + 32*g + 6. What are the prime factors of m(-19)? 2, 5, 373 Let j be 2 - 0 - (-18)/6. Suppose 3*d = -j*h + 1080, -4*h + 7*d + 901 = 2*d. List the prime factors of h. 3, 73 Let f(m) = 0*m**2 - 12*m + 16 - 12*m + 16*m + m**2. Let v be f(5). Suppose -5*o + 2 - v = 2*l, 3*l + o = 21. List the prime factors of l. 2 Let i be -1 + -1 + -2 - (182 + -193). Let d(v) = 6*v**3 - 6*v**2 - 41*v + 10. List the prime factors of d(i). 1487 Suppose 5*i + 45*p - 47*p = 161438, -2*p = -4*i + 129150. What are the prime factors of i? 2, 1009 Let k(i) = -107*i - 173. Let h be k(-11). Let w = h - 752. What are the prime factors of w? 2, 3, 7 Let q(s) = -113*s - 87. Let b be q(-10). Suppose b + 148 = n. What are the prime factors of n? 3, 397 Let t(f) = f**3 - 54*f**2 - 69*f - 548. List the prime factors of t(59). 2, 3, 2131 Let f(s) = s**2 + s + 2. Let z(d) = -21*d - 204. Let j(h) = 2*f(h) - z(h). List the prime factors of j(-15). 313 Suppose -l + 19579 = -y, 2*y - 20208 = -3*l + 38559. What are the prime factors of l? 5, 3917 Suppose -74*a = -47 + 565. Let t(h) = -7*h**2 + 6*h**3 - 7*h**3 + 7 + 0*h - 3*h. What are the prime factors of t(a)? 2, 7 Let c be (2/(-6 - -2))/(1/134). Suppose -102 = -5*z + 463. Let b = c + z. List the prime factors of b. 2, 23 Let s be 2 - (-20)/(-9) - 3216/108. Let n be ((-84)/s - -4)/(1/35). What are the prime factors of (-2)/(-8)*6 + n/4? 61 Let i(o) = -3 + 41*o + 38 - 6 - 39*o. Let r be i(-12). What are the prime factors of (r - (-81)/(-15)) + 157/5? 31 Let q = 9117 - 1038. What are the prime factors of q? 3, 2693 Suppose 7*g - 2*g = -5*q, -5*q - 4*g = 2. What are the prime factors of 4/(-22) + q/(-110)*26905? 3, 163 List the prime factors of 2305/(-6 - (-145)/20). 2, 461 Let m(z) = 3*z**3 - 12*z**2 + 29*z - 6. Let t = -217 + 224. What are the prime factors of m(t)? 2, 11, 29 Let p(v) = -206*v - 114. Let s be p(-18). Suppose 2*a - 1826 - 1738 = 2*w, s = 2*a + 4*w. What are the prime factors of a? 1787 Let x(n) = 199*n**2 + 4*n - 8. Let k be x(-3). Suppose 0 = 4*c + 335 - k. List the prime factors of c. 359 Suppose 4*t + 4 = 0, 2*w = 4*t + 414 + 52. Suppose a = 4*y + 167 + w, 1516 = 4*a + 3*y. What are the prime factors of a? 2, 191 What are the prime factors of 3 + (-38)/12 + 35191/78? 11, 41 Suppose -5*r + 986 + 761 = -2*h, 0 = 5*h - 3*r + 4415. Let f = 2040 + h. What are the prime factors of f? 2, 577 Suppose -5*g + 4*y = -211, 0*g - 5*g - 2*y + 217 = 0. Suppose g*j = 12*j + 23095. What are the prime factors of j? 5, 149 List the prime factors of -155 + 155 + (14535 - -2). 14537 Let z(f) = -193*f - 8*f**2 + f**2 + 192*f + 384. Let k be z(0). Suppose 3*x - 2*l = 5*x - k, 5*x - 5*l = 930. What are the prime factors of x? 3, 7 Suppose -2*h = q - 23199, 51*h - 47*h - 3*q = 46423. What are the prime factors of h? 2, 5801 What are the prime factors of (19/171 + 8/36)/(2/75612)? 2, 6301 Suppose 0*x = -5*w + 2*x + 678, 3*x - 139 = -w. Suppose 2*n + 2*r = 64, -4*n - 2*r + 0*r + w = 0. Let b = n + -2. L
{ "pile_set_name": "DM Mathematics" }
Let m = 306 + -155. Suppose 4*q + 3*l - 135 = m, 2*q + l - 142 = 0. Does 22 divide q? False Suppose 0 = -0*p + 6*p. Suppose -4*h - 4*c + 40 = p, -1 = 4*c - 5*c. Does 3 divide h? True Let o(i) = -213*i - 32. Is o(-4) a multiple of 60? False Let u(p) be the second derivative of 137*p**5/20 - 5*p**3/6 + 2*p**2 + 18*p. Is 28 a factor of u(1)? False Is 9 a factor of 2805/22 + 9/(-6)? True Suppose -2*w + 4 = 3*m, 4*w + 0*w = -4*m + 4. Let s be 23/(1*(m + -3)). Let k = s + 39. Is k a multiple of 16? True Suppose 2*u - 2*v - 2210 = 0, 7*u - 5*v - 4416 = 3*u. Is 94 a factor of u? False Let b(g) = -23*g**3 + 2*g**2 + 6*g + 6. Let r(u) = 45*u**3 - 4*u**2 - 11*u - 11. Let v(m) = 11*b(m) + 6*r(m). Is 16 a factor of v(2)? True Suppose 1158 = -2*c + 2778. Is 81 a factor of c? True Suppose -26 = -t - 8. Suppose 0 = -3*x - 0 + t. Is ((-4)/x)/((-2)/117) a multiple of 13? True Let k(r) be the second derivative of 19*r**3/2 - 9*r**2 - 30*r. Is k(2) a multiple of 12? True Let z = -57 + 61. Does 14 divide 42/z*48/9? True Let c(b) = -b**3 - 12*b**2 - b - 15. Suppose -3*j - q - 40 = 0, 5*j + 3*q - q + 68 = 0. Let w be c(j). Does 19 divide 1 - (-3 - -180)/w? False Is 6 a factor of (-669)/(-7) + (-6)/(-14)? True Suppose 146*x - 270 = 141*x. Is x a multiple of 6? True Let q(p) = p - 3. Let a be q(0). Let f be a/12 + 1938/8. Suppose 5*d - f = -4*o - 29, 2*o - 108 = -4*d. Does 13 divide o? True Let m = -165 + 656. Is 42 a factor of m? False Let a(m) = 2*m**2 - 27*m + 24. Let o(s) = s**2 - 13*s + 12. Suppose -5*x = -4*j + 32, 3 = -5*x - 5*j - 2. Let n(k) = x*a(k) + 9*o(k). Does 3 divide n(9)? True Suppose 4*v - 414 = 1550. Is v a multiple of 21? False Suppose 260 = -46*j + 50*j. Does 5 divide j? True Let n = -12 - -25. Let g = n + -15. Is 11 a factor of (-43)/(-4)*(-8)/g? False Suppose -r = -599 - 1208. Does 90 divide r? False Let g be 1272/(-15)*10/(-4). Suppose 92*m = 96*m - g. Does 10 divide m? False Suppose 0 = 3*w + w + 20. Let x(r) = -7*r**3 - 5*r**2 - 2*r + 2. Let y(z) = -8*z**3 - 5*z**2 - z + 3. Let g(k) = 7*x(k) - 6*y(k). Is g(w) a multiple of 9? True Suppose 3*k + 0*d - 68 = d, -2*k - 5*d + 68 = 0. Let f = k + 1. Is f a multiple of 22? False Let x(m) = -79*m + 230. Is x(-12) a multiple of 31? True Suppose -5*r + 372 = 7*r. Suppose 3*p - 34 = -k, 21 = 4*p + 3*k - r. Is 10 a factor of p? True Suppose 5*l - 338 = -r, 10*r = 9*r + l + 308. Is r a multiple of 32? False Suppose 8 = -4*b + 16. Let x(j) = j**3 + j**2 - 3*j + 2. Is x(b) a multiple of 8? True Suppose 4*v = 2*b + 14, -4 = -b - 2*b + v. Let o be 10/((-186)/(-60) - 3). Suppose -b*p = 5*s - 3*s - 51, -5*s = 2*p - o. Is s a multiple of 18? True Suppose -5*x + 5 = 0, -2*b + 258 = -x - 105. Suppose 2*n - 3*s - 392 = 0, 5*s = -7*n + 8*n - b. Is n a multiple of 15? False Suppose 0 = 3*n + 5*t + 137 + 62, -3*n - 3*t - 195 = 0. Let p = n + 107. Is 22 a factor of p? True Let g(r) = r**3 + 44*r**2 + 117*r + 123. Is g(-41) a multiple of 46? False Let i = 176 + -14. Suppose -3*d = -l + i, 624 = 4*l + 2*d - 6*d. Let q = -91 + l. Does 10 divide q? False Let d = -282 - -170. Does 2 divide (d/24)/((-3)/9)? True Let w(i) = -i**3 + 9*i**2 - 6*i + 16. Let y be 33/4 - (-14)/(-56). Does 4 divide w(y)? True Let j = 1541 + -422. Does 34 divide j? False Suppose 0 = 10*f + 33*f - 16512. Is f a multiple of 8? True Let b be (-14 + 0)/(3/(-36)*-6). Is (-50)/(-8) - 21/b a multiple of 3? False Let q(w) = 10*w + 2. Suppose -3*r = -3*f - 2*r + 23, 27 = 3*f + 3*r. Is q(f) a multiple of 3? False Is (448/140)/(3/630) a multiple of 18? False Let s(q) = -7*q + 11. Let j be s(3). Is 4 a factor of 18 - j/15*3? True Suppose -3*q + 4 + 29 = 0. Suppose -2*t + 323 = q. Suppose x - t = -2*x. Is x a multiple of 13? True Suppose s + 0*s = -2*v + 164, 2*s - 5*v = 301. Suppose 9*t = s + 247. Is t a multiple of 44? False Let s(a) be the third derivative of -a**4/3 + 2*a**3/3 + 15*a**2. Is s(-10) a multiple of 21? True Suppose 4*y - 3*y = 8. Suppose 10 = 3*b - y. Let w(s) = -s**3 + 5*s**2 + 9*s. Is w(b) a multiple of 6? True Suppose 0 = -7*z + 9*z - 54. Let t(n) = -26*n - 14 - 15 + z. Is t(-3) a multiple of 17? False Suppose 6*u - 208 - 2 = 0. Let y be (-3 + 1)/(-2)*-5. Is 1/y - (-1267)/u a multiple of 18? True Let z(c) be the second derivative of 5*c**3/6 + 4*c**2 + 8*c. Let r be z(-3). Does 13 divide (-2 - (r - -1)) + 31? False Let b = 11 - 3. Does 6 divide 270/12*1*b/6? True Let g = -24 + 28. Is 4/6*g/(-3)*-81 a multiple of 12? True Let t(x) = -38*x - 20. Let m be t(-4). Suppose -3*p = 4*z - m - 41, -5*z + 285 = 5*p. Is p a multiple of 11? True Suppose 4*b - 3*b - 5 = 0. Let j = b + -3. Does 15 divide (j/(-6) - -1)*39? False Does 7 divide 17*(-23)/1*-1? False Let p be -3 + 1 - (-4 + -8). Let f = 10 - p. Suppose -v + 5*v - 188 = f. Does 25 divide v? False Let o(j) = 2*j. Let d be o(3). Is 14 a factor of (-1)/d - (3785/6)/(-5)? True Suppose -5*j - 6 = -1, -5*j = -2*c + 23. Is 6 a factor of -3*(-3)/c*3*10? True Let z = -1771 + 2541. Is 35 a factor of z? True Let r(x) = x**3 - 12*x**2 + 17*x - 13. Suppose -6 = -2*q - 2. Let w be q*(2 - -4) + -1. Is 9 a factor of r(w)? False Let w(c) be the first derivative of 5*c**2/2 - 22*c - 11. Is 12 a factor of w(14)? True Let r = 9 + -8. Suppose 0 = 3*h - 5*p + 5, 2*h - 6*h - 2*p - 24 = 0. Is 5 a factor of (-3)/(3/h*r)? True Let r(y) = 35*y**2 - y - 1. Let m be r(-1). Suppose 4*l + 5*f = -0*f + m, 4*f = -4. Is 4 a factor of l? False Suppose s - 2 = 3*s. Let p be 2 + (s - (-7 - -4)). Suppose p*z = 10 + 34. Is 5 a factor of z? False Let t = 535 - 175. Is 30 a factor of t? True Let j = -1001 - -601. Let s be (-2)/4*j/(-8). Is (5 + 0)*(-125)/s a multiple of 25? True Is 24 a factor of -5 - (-167 - (3 - -3))? True Let a be (-1 + -1)*(-1284)/(-8). Let f = a - -99. Let h = -130 - f. Does 14 divide h? False Let t(g) = g**2 - 27*g + 103. Does 6 divide t(27)? False Let t = -8 + 11. Let n(d) = -3*d**3 + 4*d - 9 + 12 + 2*d**3 - t*d**3. Is n(-2) a multiple of 9? True Let o(b) = -10*b + 66. Let n be o(15). Is (-2*(-2 + n))/((-50)/(-75)) a multiple of 20? False Let o be 3*4/12 - -1. Let c(d) = -4*d + 53*d**2 - 60*d**2 - d**3 + o*d**3 - 11. Is 7 a factor of c(8)? True Let g = 178 - 92. Does 19 divide g? False Let n(t) = -53*t + 315. Is n(0) a multiple of 22? False Let s(p) = -p**3 - 6*p**2 - 13*p + 34. Is s(-7) a multiple of 7? False Let v(z) be the third derivative of -z**6/120 + z**5/6 + 3*z**4/8 + 5*z**3/3 - 11*z**2. Let k be v(11). Does 38 divide (k/21)/((-2)/217)? False Let i(r) be the second derivative of 17*r**3/6 + r**2/2 + r. Suppose 53*c = 52*c + 1. Does 6 divide i(c)? True Let w(v) = 12*v - 12. Let u(d) = -3*d + 3. Let p be u(-1). Is 5 a factor of w(p)? True Suppose 5*l = -4*s + 63, -2*s - 10 = -2*l + 26. Suppose 4*d - 4 = -4*n, 3*d - 3*n - 12 = 9. Suppose -3*w - l = -d*w. Is w a multiple of 9? False Let d(b) = 2*b**2 - 6. Let q be d(-2). Suppose q*j = 5*l + 59, 100 = 7*j - 2*j - 3*l. Is j a multiple of 17? True Let h = 414 - -293. Let t = -467 + h. Is t a multiple of 10? True Let q(k) = 99*k - 135. Does 17 divide q(6)? True Is 18 a factor of (-648)/(-20)*220/66? True Let d(x) = -613*x**3 + 3*x**2 - 23*x - 14. Let a(z) = -204*z**3 + z**2 - 8*z - 5. Let q(c) = 17*a(c) - 6*d(c). Does 42 divide q(1)? True Let c = 37 + -14. Suppose 4*x - 21 = c. Does 3 divide x? False Does 17 divide 206 - 12 - (-2 + 3)*-3? False Is (-3387)/(-2)*(-90)/(-135) a multiple of 71? False Let f be 18/(-4)*(-132)/22. Suppose 3*i + f = y, i = 2*y + 6*i - 98. Does 24 divide y? False Let v(u) = u**3 + 23*u**2 - 49*u + 49. Let d be v(-25). Let h be -2*1*(-11)/2. Let x = d - h. Is x a multiple of 13? True Let a(d) = 3*d**3 - 3*d**2 + 5*d + 113. Does 12 divide a(9)? False Let j be 1/2*(7 - -397). Let t = -58 + j. Is t a multiple of 16? True Let i = -253 - -821. Suppose -67 = -5*d + i. Let o = d - 79. Is 12 a factor of o? True Suppose 3*f - 8 = 5*d, -26*f + 22*f + 54 = 2*d. Does 10 divide f? False Is 25 a factor of (-9634)/(-7) + 4/(-14) - -1? False Does 2 divide (-3)/(-12) - 55/(-4)? True Suppose 0 = -318*m + 309*m + 432. Is 4 a factor of m? True Suppose 0*o = -4*o - 16. Let n be -3 + (-6)/4*o. Suppose 3*v + n*v = 132. Is 11 a factor of v? True Suppose 0 = 2*k + 2*k - 44. Let n = 13 - k. Suppose n*y = -0*y + 12. Is 4 a factor of y? False Suppose -k - 3*k =
{ "pile_set_name": "DM Mathematics" }
e i. 1, 55/2, 110820 Factor -f**5 + 478021*f**4 + 29641146*f**3. -f**3*(f - 478083)*(f + 62) Determine p, given that 11142*p**3 - 2518096*p**2 + 142273102*p - 51076 = 0. 2/5571, 113 Suppose -23678*l**3/11 - 615624*l**2/11 - 4001478*l/11 + 676/11 = 0. What is l? -13, 2/11839 Suppose -w**3/11 - 240*w**2/11 + 153168*w/11 + 647168 = 0. Calculate w. -512, -44, 316 What is r in r**4 + 146*r**3 - 13867*r**2 + 26692*r + 40704 = 0? -212, -1, 3, 64 Factor q**2 - 47026956*q + 552883647656484. (q - 23513478)**2 Determine r so that -2*r**4 - 1269*r**3 + 2043076*r**2 + 9216855*r + 4097500 = 0. -1375, -4, -1/2, 745 What is l in 2*l**2 + 11260*l + 2996000 = 0? -5350, -280 Suppose -8*m**5/3 + 36958*m**4/3 + 52403*m**3 + 32372*m**2/3 - 18496*m/3 = 0. What is m? -4, -1/2, 0, 1/4, 4624 Factor 5*v**3 - 96855*v**2 + 6854020*v - 48636000. 5*(v - 19300)*(v - 63)*(v - 8) Find i such that -2*i**2 - 10585110*i + 10585112 = 0. -5292556, 1 Suppose 3*q**4 - 5124*q**3 + 136149*q**2 + 22512*q - 3933540 = 0. What is q? -5, 6, 26, 1681 Factor -2*f**2 - 1971234*f - 45337324. -2*(f + 23)*(f + 985594) Determine g so that 3*g**5 + 471*g**4 - 29820*g**3 - 61500*g**2 = 0. -205, -2, 0, 50 Suppose 15*i**4 + 1126176*i**3 - 10812597*i**2 + 5631654*i + 4054752 = 0. Calculate i. -75088, -2/5, 1, 9 Solve 2*j**2 - 66166*j - 11974680 = 0. -180, 33263 Factor 3*w**3 + 10302*w**2 - 366897*w - 9199788. 3*(w - 52)*(w + 17)*(w + 3469) Find i such that 4*i**4 + 9308*i**3 + 302304*i**2 - 1158768*i - 5946048 = 0. -2294, -36, -3, 6 Find g such that 4*g**4/9 + 9988*g**3/9 - 655132*g**2/9 + 1240268*g/9 + 635128/3 = 0. -2561, -1, 3, 62 Determine b, given that 32*b**4/7 + 104676*b**3/7 - 11229188*b**2/7 - 36073284*b/7 - 4333500/7 = 0. -3375, -3, -1/8, 107 Let b**5/3 + 238172*b**4/3 - 1429088*b**3/3 - 4763410*b**2/3 + 35726575*b/3 - 29772250/3 = 0. What is b? -238178, -5, 1, 5 What is l in l**3/7 - 152294*l**2/7 - 348128*l - 9747840/7 = 0? -8, 152310 Factor 4*z**3 - 43308*z**2 - 31026240*z - 5385490416. 4*(z - 11511)*(z + 342)**2 Factor 4*n**4 - 6456*n**3 - 703872*n**2 - 18581888*n. 4*n*(n - 1718)*(n + 52)**2 Factor -3*x**2 - 126020322*x - 1323426796415307. -3*(x + 21003387)**2 Let 2*n**2/25 + 381818508*n/25 + 18223171631418258/25 = 0. What is n? -95454627 Solve 12*k**5 + 77052*k**4 + 123533343*k**3 - 496215672*k**2 - 1362723225*k - 743051250 = 0 for k. -6425/2, -1, 6 Suppose -k**2 - 178125*k + 178126 = 0. What is k? -178126, 1 Factor -5*l**3/6 - 2541560*l**2/3 + 35582330*l/3. -5*l*(l - 14)*(l + 1016638)/6 Suppose -3*i**4 + 365388*i**3 - 11124968400*i**2 - 44505720000*i = 0. What is i? -4, 0, 60900 Solve -4*z**2 + 881685384*z - 48585569772451716 = 0 for z. 110210673 Determine m so that -4*m**5 - 18532*m**4 + 18548*m**3 + 55588*m**2 - 92672*m + 37072 = 0. -4634, -2, 1 Find k such that -2*k**5 - 2752*k**4 + 164680*k**3 - 2387220*k**2 - 1481958*k + 21707892 = 0. -1434, -3, 3, 29 Solve -4*v**2/9 + 9919594*v/3 - 14879390/9 = 0 for v. 1/2, 7439695 Solve x**3/2 + 2686199*x**2/2 - 5372404*x + 5372406 = 0. -2686203, 2 Factor 4*i**3 + 349760*i**2 + 7623319808*i - 981523791872. 4*(i - 128)*(i + 43784)**2 Factor k**2/4 - 1076821*k/4 - 26653770. (k - 1076920)*(k + 99)/4 What is b in 4*b**2 - 56660*b + 622776 = 0? 11, 14154 Let 2*i**2/17 + 1684128*i/17 + 30313656/17 = 0. Calculate i. -842046, -18 Let -c**2 + 67609460*c = 0. What is c? 0, 67609460 Factor -18*c**2 - 36424*c + 16192. -2*(c + 2024)*(9*c - 4) Factor -4*c**3 - 1959944*c**2 + 3919900*c - 1959952. -4*(c - 1)**2*(c + 489988) Find l such that -l**5/4 + 1257*l**4/2 - 10631*l**3 + 93689*l**2/2 - 257235*l/4 + 27467 = 0. 1, 4, 11, 2497 What is b in -697366*b**3/7 + 2092096*b**2/7 - 1394726*b/7 - 4/7 = 0? -1/348683, 1, 2 Let -2*t**2 + 2880482*t - 11521896 = 0. Calculate t. 4, 1440237 Suppose 6*f**5/11 - 5602*f**4/11 - 88266*f**3/11 + 82854*f**2 - 2138252*f/11 + 1047696/11 = 0. Calculate f. -23, 2/3, 3, 4, 949 What is o in -3*o**2 + 78968985*o - 78968982 = 0? 1, 26322994 Factor 6*o**3 - 13270834*o**2 + 7338124248842*o + 2446042890818. 2*(o - 1105903)**2*(3*o + 1) Find d such that 12*d**5/7 + 32037*d**4 + 149938944*d**3 + 17011611264*d**2/7 + 71126876160*d/7 + 16734892032/7 = 0. -9336, -8, -1/4 Determine a so that 4*a**2 + 131881640*a + 1087047935568100 = 0. -16485205 Factor 5*j**3 - 75920*j**2 + 80821345*j + 1797336041270. 5*(j - 9559)**2*(j + 3934) Factor -5*o**3 - 224251400*o**2 - 2514434744349385*o - 5028868591693210. -5*(o + 2)*(o + 22425139)**2 Factor -3*g**2 - 83835*g + 2853858. -3*(g - 34)*(g + 27979) Let 3*s**2/7 + 151632*s/7 - 2730348/7 = 0. Calculate s. -50562, 18 Suppose 243*x**4 - 20423853*x**3 + 429139756974*x**2 + 429282727104*x - 2574961095168 = 0. What is x? -3, 2, 378224/9 Suppose f**2 - 580251*f + 1160498 = 0. What is f? 2, 580249 Determine v so that -v**3/6 - 8419*v**2/6 + 304962*v = 0. -8631, 0, 212 Solve 3*c**4 - 732554*c**3 - 18314387*c**2/3 - 21488956*c/3 - 6837404/3 = 0. -7, -2/3, 244193 Find s, given that -4*s**5 + 1820*s**4 + 133132*s**3 - 138572*s**2 - 269880*s = 0. -65, -1, 0, 2, 519 What is f in -2*f**3 + 28418*f**2 + 24994820*f + 24966400 = 0? -830, -1, 15040 Find w such that -3*w**4 + 1056*w**3 + 135894*w**2 - 3807264*w + 3670317 = 0. -119, 1, 23, 447 Factor 3*z**2/4 - 52701*z/4 - 149031957/2. 3*(z - 22069)*(z + 4502)/4 Solve -35*c**5 - 6530*c**4 + 587235*c**3 - 250470*c**2 = 0. -253, 0, 3/7, 66 Factor 4*i**2 - 976112*i + 26352108. 4*(i - 244001)*(i - 27) Suppose 105*w**5 + 25719*w**4 + 1929690*w**3 + 39289008*w**2 - 138532992*w + 7787520 = 0. Calculate w. -104, -40, 2/35, 3 Factor 20*q**2 - 1221696*q + 977344. 4*(q - 61084)*(5*q - 4) Solve -i**5/4 - 17221*i**4/4 + 86329*i**3/4 + 3428653*i**2/4 + 2923893*i - 3798333 = 0. -17226, -7, 1, 18 What is g in -15*g**4 - 21914*g**3 + 5421036*g**2 - 311404950*g + 20736243 = 0? -1683, 1/15, 111 Factor -5*o**3 + 39609895*o**2 - 79219775*o + 39609885. -5*(o - 7921977)*(o - 1)**2 Solve -5*o**2/2 - 26939100*o - 53878195/2 = 0. -10775639, -1 Let y**3 - 439*y**2 - 879616*y + 6178480 = 0. Calculate y. -748, 7, 1180 Factor 4*y**2 - 26964*y + 27011232. 4*(y - 5517)*(y - 1224) Let -m**3 - 6952129*m**2 - 12082986171360*m + 132913689093900 = 0. What is m? -3476070, 11 Find i, given that -9*i**5/7 - 140879*i**4/7 - 2142274*i**3/7 + 2064540*i**2/7 + 5066776*i/7 + 142976 = 0. -15638, -16, -1, -2/9, 2 Factor 4*c**2 - 33180756*c + 66361496. 4*(c - 8295187)*(c - 2) Find n such that 4*n**5/7 + 1340*n**4 + 465432*n**3 + 308403208*n**2/7 - 3258028*n/7 - 308412588/7 = 0. -1947, -199, -1, 1 Suppose i**4/4 + 3619*i**3/4 + 422475*i**2 + 70121476*i + 3947363536 = 0. What is i? -3103, -172 Determine x so that 3*x**3/7 - 368220*x**2/7 - 1841163*x/7 - 210420 = 0. -4, -1, 122745 What is d in -d**4/4 + 2263*d**3 + 154193*d**2/4 - 45336*d - 81621 = 0? -18, -1, 2, 9069 Determine r so that -2*r**3/19 - 572296*r**2/19 + 3433862*r/19 + 4006156/19 = 0. -286154, -1, 7 Determine w so that 5*w**5 + 305*w**4 - 26420*w**3 + 242080*w**2 + 268800*w = 0. -112, -1, 0, 12, 40 Determine z, given that 5*z**2 - 59046865*z + 236187380 = 0. 4, 11809369 Factor t**2/3 - 25703*t - 771190/3. (t - 77119)*(t + 10)/3 Factor x**2/2 - 792395*x/2 + 2773358. (x - 792388)*(x - 7)/2 Find q such that -4*q**3 - 12736*q**2 + 750716*q - 4629576 = 0. -3242, 7, 51 Factor -t**4 - 57732*t**3 - 1110300960*t**2 - 7099954627328*t + 257040011851776. -(t - 36)*(t + 19256)**3 Determine j, given that 4*j**5 - 1612*j**4 - 575812*j**3 - 48567764*j**2 - 1185424416*j - 8804780352 = 0. -108, -17, 653 Solve x**2/6 + 1402*x/3 + 326688 = 0 for x. -1476, -1328 What is m in 28*m**5 + 6897724*m**4 + 29561332*m**3 + 42371092*m**2 + 23648944*m + 3941488 = 0? -246343, -2, -1, -2/7 Factor 2*f**2 - 62598972*f - 62598974. 2*(f - 31299487)*(f + 1) Factor 4*b**2 + 14596*b + 2259576. 4*(b + 162)*(b + 3487) Solve -5*c**2 - 132365*c + 6232200 = 0. -26520, 47 Determine s so that 32*s**3 + 23884*s**2 + 4213000*s - 92120692 = 0. -383, 157/8 Determine j so that -2*j**5/11 - 1306*j**4/11 + 7122*j**3 + 327682*j**2/11 + 415124*j/11 + 167088/11 = 0. -708, -2, -1, 59 Factor -q**3/4 + 734255*q**2/2 - 134782234128*q - 269565936768. -(q - 734256)**2*(q + 2)/4 What is g in g**3 + 501487*g**2 + 2005936*g + 2005932 = 0? -501483, -2 Determine k, given that 2*k**2 + 3056*k - 2871090 = 0. -2185, 657 Factor -5*v*
{ "pile_set_name": "DM Mathematics" }
'th term of 2209, 1871, 1567, 1297, 1061, 859? 17*r**2 - 389*r + 2581 What is the n'th term of -622795477, -622795474, -622795469, -622795462, -622795453, -622795442, -622795429? n**2 - 622795478 What is the v'th term of 1194, 967, 828, 777, 814, 939, 1152? 44*v**2 - 359*v + 1509 What is the m'th term of -3651, -10553, -22115, -38331, -59195, -84701, -114843, -149615? m**3 - 2336*m**2 + 99*m - 1415 What is the w'th term of 1922, -3454, -18192, -46972, -94474, -165378, -264364, -396112? -780*w**3 - w**2 + 87*w + 2616 What is the t'th term of 21020, 42160, 63574, 85262, 107224? 137*t**2 + 20729*t + 154 What is the o'th term of -7616, -16430, -25244? -8814*o + 1198 What is the p'th term of -835, -6505, -21857, -51733, -100975, -174425? -807*p**3 + p**2 - 24*p - 5 What is the k'th term of 8505501, 8505500, 8505489, 8505462, 8505413, 8505336? -k**3 + k**2 + 3*k + 8505498 What is the w'th term of 145, 183, 343, 625, 1029? 61*w**2 - 145*w + 229 What is the k'th term of -280, -700, -1280, -2026, -2944? -k**3 - 74*k**2 - 191*k - 14 What is the b'th term of -3798818, -7597634, -11396446, -15195254, -18994058, -22792858? 2*b**2 - 3798822*b + 2 What is the r'th term of 668302, 668291, 668272, 668245, 668210, 668167? -4*r**2 + r + 668305 What is the s'th term of -74134, -74145, -74156, -74167, -74178? -11*s - 74123 What is the t'th term of -28643, -26752, -23609, -19220, -13591, -6728? -t**3 + 632*t**2 + 2*t - 29276 What is the z'th term of -1201, -4559, -10137, -17917, -27881? 3*z**3 - 1128*z**2 + 5*z - 81 What is the h'th term of -252, -403, -614, -855, -1096? 5*h**3 - 60*h**2 - 6*h - 191 What is the o'th term of -364760, -729495, -1094230, -1458965? -364735*o - 25 What is the t'th term of -4037, -8182, -12435, -16790, -21241, -25782, -30407, -35110? t**3 - 60*t**2 - 3972*t - 6 What is the b'th term of 2217448, 2217444, 2217436, 2217424, 2217408, 2217388? -2*b**2 + 2*b + 2217448 What is the q'th term of -27069599, -54139198, -81208797, -108278396, -135347995? -27069599*q What is the v'th term of 4820, 11062, 17308, 23558, 29812, 36070? 2*v**2 + 6236*v - 1418 What is the l'th term of 5791, 5257, 4723, 4189, 3655, 3121? -534*l + 6325 What is the g'th term of 362593, 724747, 1086901, 1449055, 1811209? 362154*g + 439 What is the j'th term of 1501530, 3003153, 4504776, 6006399? 1501623*j - 93 What is the d'th term of -705775309, -705775308, -705775307, -705775306? d - 705775310 What is the c'th term of 105488, 210891, 316294, 421697, 527100? 105403*c + 85 What is the z'th term of -7058630, -7058629, -7058628, -7058627? z - 7058631 What is the t'th term of -418546083, -418546084, -418546085? -t - 418546082 What is the j'th term of 753069, 3012275, 6777617, 12049095? 753068*j**2 + 2*j - 1 What is the z'th term of 6147, 6108, 6029, 5904, 5727, 5492? -z**3 - 14*z**2 + 10*z + 6152 What is the c'th term of -4, 653, 1106, 1355, 1400? -102*c**2 + 963*c - 865 What is the l'th term of -925646, -925680, -925718, -925760, -925806, -925856? -2*l**2 - 28*l - 925616 What is the s'th term of -40351, -52414, -64477, -76540? -12063*s - 28288 What is the p'th term of -2149145, -8596553, -19342225, -34386155, -53728337, -77368765, -105307433, -137544335? p**3 - 2149138*p**2 - p - 7 What is the h'th term of 220966564, 220966562, 220966560, 220966558, 220966556? -2*h + 220966566 What is the q'th term of 29248802, 29248805, 29248808, 29248811? 3*q + 29248799 What is the u'th term of 9874, 7134, 4396, 1660? u**2 - 2743*u + 12616 What is the r'th term of 10584, 13464, 16344, 19224, 22104, 24984? 2880*r + 7704 What is the h'th term of -2769, -22117, -54363, -99507, -157549, -228489? -6449*h**2 - h + 3681 What is the r'th term of -37909057, -75818114, -113727171, -151636228? -37909057*r What is the f'th term of 3686, 14923, 33644, 59849, 93538? 3742*f**2 + 11*f - 67 What is the a'th term of -88615, -88667, -88723, -88783, -88847, -88915, -88987? -2*a**2 - 46*a - 88567 What is the j'th term of 134925, 269758, 404591, 539424, 674257, 809090? 134833*j + 92 What is the k'th term of -720, -954, -1392, -2070, -3024, -4290? -6*k**3 - 66*k**2 + 6*k - 654 What is the k'th term of 101457, 99790, 98123, 96456? -1667*k + 103124 What is the s'th term of 7894, 15858, 23826, 31798, 39774, 47754, 55738? 2*s**2 + 7958*s - 66 What is the z'th term of 19751, 18404, 17057, 15710? -1347*z + 21098 What is the n'th term of 368075, 736187, 1104289, 1472375, 1840439, 2208475, 2576477, 2944439? -n**3 + n**2 + 368116*n - 41 What is the j'th term of -4899, -6237, -7697, -9279, -10983, -12809, -14757? -61*j**2 - 1155*j - 3683 What is the i'th term of -13433, -26981, -40521, -54053, -67577? 4*i**2 - 13560*i + 123 What is the x'th term of 191563, 766328, 1724307, 3065506, 4789931, 6897588? x**3 + 191601*x**2 - 45*x + 6 What is the x'th term of -1629, -6257, -13965, -24747, -38597? x**3 - 1546*x**2 + 3*x - 87 What is the x'th term of -9688, -38756, -87200, -155020? -9688*x**2 - 4*x + 4 What is the o'th term of 3528, 12801, 28248, 49863, 77640? -o**3 + 3093*o**2 + o + 435 What is the l'th term of 62808561, 125617118, 188425675, 251234232, 314042789, 376851346? 62808557*l + 4 What is the v'th term of 2407, 9231, 20613, 36559, 57075, 82167, 111841, 146103? v**3 + 2273*v**2 - 2*v + 135 What is the l'th term of -11905, -24463, -37021, -49579, -62137? -12558*l + 653 What is the f'th term of -52771, -105441, -158009, -210475? 51*f**2 - 52823*f + 1 What is the w'th term of 477, 999, 1561, 2169, 2829, 3547? w**3 + 14*w**2 + 473*w - 11 What is the l'th term of 994207, 1988466, 2982747, 3977062, 4971423, 5965842? 2*l**3 - l**2 + 994248*l - 42 What is the a'th term of 1581395, 1581462, 1581573, 1581728, 1581927, 1582170? 22*a**2 + a + 1581372 What is the z'th term of -284166, -1136683, -2557560, -4546803, -7104418, -10230411, -13924788? -z**3 - 284174*z**2 + 12*z - 3 What is the p'th term of -22377, -45543, -68713, -91887? -2*p**2 - 23160*p + 785 What is the t'th term of 43476, 43369, 43188, 42933, 42604, 42201? -37*t**2 + 4*t + 43509 What is the z'th term of 4259064, 4259155, 4259234, 4259295, 4259332, 4259339, 4259310? -z**3 + 98*z + 4258967 What is the g'th term of 184, 70, -158, -530, -1076? -5*g**3 - 27*g**2 + 2*g + 214 What is the x'th term of -8453, -7658, -6331, -4472, -2081, 842, 4297? 266*x**2 - 3*x - 8716 What is the d'th term of 2817464, 2816906, 2816350, 2815796, 2815244? d**2 - 561*d + 2818024 What is the m'th term of -4596052, -4596056, -4596060, -4596064, -4596068? -4*m - 4596048 What is the y'th term of 4215, 4393, 4897, 5895, 7555, 10045, 13533, 18187? 28*y**3 - 5*y**2 - 3*y + 4195 What is the v'th term of -8068, -7896, -7604, -7192? 60*v**2 - 8*v - 8120 What is the t'th term of 29427, 59301, 89175, 119049? 29874*t - 447 What is the f'th term of 21311, 38369, 66807, 106631, 157847? f**3 + 5684*f**2 - f + 15627 What is the g'th term of -11910, -94257, -317470, -751983, -1468230, -2536645? -11739*g**3 + g**2 - 177*g + 5 What is the v'th term of 57803, 54443, 51073, 47687, 44279, 40843? -v**3 + v**2 - 3356*v + 61159 What is the z'th term of 3562833, 7125669, 10688505, 14251341, 17814177, 21377013? 3562836*z - 3 What is the s'th term of 7777810, 7777808, 7777806, 7777804, 7777802? -2*s + 7777812 What is the g'th term of -167105, -167404, -167713, -168038, -168385? -g**3 + g**2 - 295*g - 166810 What is the z'th term of 913, 1622, 2401, 3286, 4313, 5518, 6937? 6*z**3 - z**2 + 670*z + 238 What is the i'th term of -27470, -110004, -247550, -440102, -687654, -990200, -1347734, -1760250? i**3 - 27512*i**2 - 5*i + 46 What is the p'th term of -19388, -78079, -175890, -312821, -488872, -704043, -958334? -19560*p**2 - 11*p + 183 What is the a'th term of -786747, -3147018, -7080803, -12588102? -786757*a**2 + 10 What is the w'th term of -207, 168, 1145, 3024, 6105, 10688? 50*w**3 + w**2 + 22*w - 280 What is the d'th term of -84519215, -169038427, -253557637, -338076845, -422596051? d**2 - 84519215*d - 1 What is the t'th term of 6789, 27593, 62441, 111339, 174293? t**3 + 7016*t**2 - 251*t + 23 What is the z'th term of 2929, 5827, 8719, 11605, 14485? -3*z**2 + 2907*z + 25 What is the x'th term of 232658, 232734, 232812, 232892, 232974, 233058, 233144? x**2 + 73*x + 232584 What is the u'th term of -177315, -176893, -176399,
{ "pile_set_name": "DM Mathematics" }
eplacement from qqeeeeeeeeeeeeeeeeqe. Give prob of sequence qqq. 1/1140 Calculate prob of sequence vvs when three letters picked without replacement from {h: 1, z: 1, d: 3, s: 4, v: 1, f: 2}. 0 What is prob of sequence olx when three letters picked without replacement from {x: 1, o: 1, e: 2, l: 1}? 1/60 Four letters picked without replacement from twtwwtvwlwttzztzvtw. Give prob of sequence zwvw. 5/2584 Calculate prob of sequence rh when two letters picked without replacement from {h: 4, d: 1, q: 1, s: 5, t: 4, r: 4}. 8/171 Two letters picked without replacement from sojjooso. What is prob of sequence oo? 3/14 What is prob of sequence gn when two letters picked without replacement from ndndddndddgddngdgd? 2/51 What is prob of sequence iui when three letters picked without replacement from uuuuuuiuuiuiiu? 5/91 Calculate prob of sequence vq when two letters picked without replacement from {v: 5, q: 2, b: 3, i: 3}. 5/78 What is prob of sequence yx when two letters picked without replacement from {f: 7, y: 2, u: 1, s: 4, x: 2}? 1/60 Two letters picked without replacement from kasiisaihshakk. Give prob of sequence is. 9/182 Calculate prob of sequence gkm when three letters picked without replacement from mmamanmmkmmmnngmmagg. 1/228 Four letters picked without replacement from sssssssvsssssss. Give prob of sequence vsss. 1/15 Two letters picked without replacement from taeoxol. What is prob of sequence et? 1/42 Three letters picked without replacement from iiiiiiiiiiiiiiiieiie. Give prob of sequence iee. 1/190 Four letters picked without replacement from {h: 1, s: 2, r: 2, q: 1, n: 2}. What is prob of sequence snhr? 1/210 Three letters picked without replacement from {j: 1, p: 1, h: 1, a: 2, n: 1, b: 1}. What is prob of sequence hjn? 1/210 Two letters picked without replacement from naaa. Give prob of sequence an. 1/4 What is prob of sequence ege when three letters picked without replacement from {u: 3, g: 1, n: 1, e: 2}? 1/105 Three letters picked without replacement from {k: 3, r: 7}. Give prob of sequence rrk. 7/40 Three letters picked without replacement from tdhlttoot. What is prob of sequence tod? 1/63 What is prob of sequence mxe when three letters picked without replacement from {e: 6, x: 1, v: 5, m: 6, o: 1}? 2/323 Calculate prob of sequence okzy when four letters picked without replacement from {o: 4, d: 4, k: 1, x: 3, y: 1, z: 2}. 1/4095 What is prob of sequence mdz when three letters picked without replacement from {d: 10, m: 6, z: 4}? 2/57 Two letters picked without replacement from {y: 2, t: 2, j: 4}. Give prob of sequence yt. 1/14 What is prob of sequence ndd when three letters picked without replacement from ddnn? 1/6 Two letters picked without replacement from {e: 11, f: 2, a: 1}. What is prob of sequence fa? 1/91 What is prob of sequence bnb when three letters picked without replacement from {b: 2, n: 2}? 1/6 Three letters picked without replacement from gzzggzzzgzz. What is prob of sequence zgz? 28/165 What is prob of sequence ag when two letters picked without replacement from miiavgv? 1/42 What is prob of sequence iqpi when four letters picked without replacement from {p: 5, i: 10, k: 2, q: 3}? 15/1292 What is prob of sequence vv when two letters picked without replacement from fdfvfvfvffffvfifi? 3/68 What is prob of sequence fllj when four letters picked without replacement from ljlljglzf? 1/126 Two letters picked without replacement from {i: 2, l: 2, k: 1, q: 1}. Give prob of sequence ik. 1/15 Three letters picked without replacement from {l: 3, d: 2, m: 2, u: 8, f: 2}. Give prob of sequence dmf. 1/510 Calculate prob of sequence sss when three letters picked without replacement from vsssssvvss. 7/24 Three letters picked without replacement from {z: 3, e: 3, s: 7}. Give prob of sequence zss. 21/286 Calculate prob of sequence uwjk when four letters picked without replacement from {k: 2, j: 1, u: 5, e: 3, n: 1, w: 1}. 1/1716 What is prob of sequence yf when two letters picked without replacement from bbobobfbbbbfbfyoolb? 1/114 Two letters picked without replacement from lkokwgss. What is prob of sequence kl? 1/28 Three letters picked without replacement from {b: 1, j: 9, t: 1, e: 5, o: 1}. What is prob of sequence tje? 3/272 What is prob of sequence hq when two letters picked without replacement from bhbbq? 1/20 What is prob of sequence caoa when four letters picked without replacement from {c: 7, a: 3, z: 1, k: 1, o: 2}? 1/286 Calculate prob of sequence ys when two letters picked without replacement from {r: 1, y: 2, s: 3, g: 6, x: 6}. 1/51 Three letters picked without replacement from voooooooovvoovdd. Give prob of sequence ovd. 1/42 Calculate prob of sequence hds when three letters picked without replacement from {s: 5, x: 1, d: 3, h: 7}. 1/32 Calculate prob of sequence ffff when four letters picked without replacement from fffffff. 1 Calculate prob of sequence dnn when three letters picked without replacement from {d: 8, n: 4, x: 2}. 4/91 Two letters picked without replacement from {x: 2, c: 1, q: 2, t: 4}. What is prob of sequence cq? 1/36 Calculate prob of sequence smm when three letters picked without replacement from {m: 4, s: 6}. 1/10 Four letters picked without replacement from {f: 2, a: 2, u: 4, x: 1, d: 2, m: 3}. What is prob of sequence dmff? 1/2002 Calculate prob of sequence tw when two letters picked without replacement from wttwwwwttttttwtwwww. 5/19 Calculate prob of sequence ee when two letters picked without replacement from ecwncwteg. 1/36 Four letters picked without replacement from {z: 7, f: 4, t: 1, o: 6}. Give prob of sequence ffzo. 7/1020 Two letters picked without replacement from {b: 1, k: 5, p: 1, h: 1, z: 1, g: 4}. What is prob of sequence hk? 5/156 Four letters picked without replacement from hhhffffffffhfffffhff. Give prob of sequence ffhf. 455/3876 Three letters picked without replacement from {g: 3}. Give prob of sequence ggg. 1 Two letters picked without replacement from qqqgqqgqqggggggqqggq. What is prob of sequence qg? 5/19 Two letters picked without replacement from {v: 1, b: 4, i: 5, d: 5}. What is prob of sequence bb? 2/35 Three letters picked without replacement from {p: 1, l: 1, z: 2, b: 1, t: 1, w: 1}. What is prob of sequence bwl? 1/210 Two letters picked without replacement from hxcnw. Give prob of sequence cw. 1/20 What is prob of sequence iqd when three letters picked without replacement from dpiyryqppypyyp? 1/2184 Two letters picked without replacement from mhddhmoduzmo. Give prob of sequence mu. 1/44 Four letters picked without replacement from pschcccccchchcnpcc. Give prob of sequence cshp. 11/12240 What is prob of sequence kbbb when four letters picked without replacement from {b: 5, r: 2, k: 9}? 9/728 Two letters picked without replacement from {n: 1, u: 1, e: 2, i: 2, s: 1, h: 1}. Give prob of sequence es. 1/28 Four letters picked without replacement from {o: 3, y: 2}. What is prob of sequence ooyy? 1/10 Two letters picked without replacement from {b: 2, s: 1, c: 1, u: 1}. Give prob of sequence ss. 0 What is prob of sequence kxam when four letters picked without replacement from {x: 1, k: 3, h: 1, a: 1, m: 1}? 1/280 Two letters picked without replacement from nnnuuanuqeaunneuuunn. What is prob of sequence ee? 1/190 What is prob of sequence ln when two letters picked without replacement from {s: 2, n: 1, l: 1}? 1/12 Two letters picked without replacement from {k: 5, q: 4, i: 1}. Give prob of sequence qi. 2/45 Three letters picked without replacement from {p: 4, y: 6, f: 6, t: 1}. What is prob of sequence pft? 1/170 What is prob of sequence isn when three letters picked without replacement from nnyisyq? 1/105 Calculate prob of sequence yw when two letters picked without replacement from yywyywyyyy. 8/45 Three letters picked without replacement from {b: 3, r: 4, q: 2, c: 1}. Give prob of sequence rcb. 1/60 Three letters picked without replacement from nbbitnaq. What is prob of sequence nib? 1/84 Calculate prob of sequence yta when three letters picked without replacement from {t: 8, y: 6, a: 3}. 3/85 Three letters picked without replacement from {c: 2, g: 2, u: 8, y: 1, t: 2}. Give prob of sequence tgc. 4/1365 Calculate prob of sequence ww when two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
u + 17 for t. -1 Let u = -1925 + 1955. Solve -2*t + 5 = -3*n - 0*n, 3*n = -3*t - u for n. -5 Let y(k) = k**3 - 12*k**2 + 12*k + 3. Let n be y(11). Let v be ((-1)/(-1))/((-35)/n + 3). Suppose 5*x = -0*x. Solve x = 3*m + d + 2, -4*m + 7*m + 5*d = v for m. -1 Let y(k) = 2*k - 108 + 96 - 5*k + k. Let s be y(-7). Solve -2*x = -2*d + d - 7, -s*d = -3*x + 12 for x. 2 Suppose -16*a + 42 = -22. Suppose -10 = -g - d, 0 = -2*g + 2*d + d - 5. Solve -4*p = -a*l - 12, 3*l = 3*p - p - g for l. 1 Let q be 3 + 0 - (-2 - -2). Suppose -13 = -q*u - 4. Suppose -5*j + 0*j + 66 = -h, -3*j = u*h - 54. Solve -2*r = 5*g - j, 2*r - 2 = -2*g + 3*g for g. 2 Let m = 127 + -39. Let s = m + -84. Solve s*d - 3*d = 0, 10 = -2*q + 3*d for q. -5 Suppose 0 = 5*y - 8*y - 12, 5*u + 3*y + 12 = 0. Solve 3*x + 3 = -2*i, u*i + 3*x + 3 = 3*i for i. 0 Let l be 5/10*(0 - -74). Suppose q + 4*c = c + l, -q + 3*c + 7 = 0. Solve 5*g + q = -2*w + 5*w, 2*g = -3*w - 13 for w. -1 Let a = 163 - 219. Let n be 1/(6/(-8))*84/a. Solve q + 1 = 0, n*q + 4 = -4*g - 6 for g. -2 Suppose -5*g + 8*g + 243 = 0. Let i be -18*9/(g/30). Suppose -5*f + i = 7*j - 4*j, 5*j = 4*f - 48. Solve 5*y - f = 4*a, y + a = 2*y - 3 for y. 0 Let q be (-1 - 1) + (-64)/(-8). Let u be (-36)/24*(-8)/q. Solve -5*a + u = -2*o - 2*a, -12 = -o - 5*a for o. 2 Let l = 3001 + -3001. Solve -4*t = 4*a - l*a, 5*t - 3*a = 40 for t. 5 Let w = -1 - -8. Suppose 0 = l + 5*k + w, -2*l - 3*k = -0*l - 21. Suppose -f - 3*f = 5*v - l, 4*f - 14 = -3*v. Solve -4*b = 12, x + 15 = -f*x - 2*b for x. -3 Suppose 5*p = p + 5*a - 92, -4*a = -5*p - 124. Let o be (-7)/p + (-1)/4. Solve 2*r + 5*x + 3 = o, -6*x + 3*x - 5 = 2*r for r. -4 Suppose 3*h = -4*n - 0 - 8, -5*h + 8 = -4*n. Solve 4*m + 2*i + 2 = h, 4*i = 9*i + 15 for m. 1 Let v = 16 + -16. Suppose 0*z - z + 24 = v. Let m be 32/z*(-3)/(-2). Solve 5*h = l - 5*l + 18, 0 = -m*l + 2*h for l. 2 Let g(d) = 18*d**3 + d**2 - 2*d + 1. Let z be g(1). Let h be (-4)/(-20) + z/10. Let q be (-6)/(5 - h)*-1. Solve q*i - m = -6, -m = 5*i + 2*m - 7 for i. -1 Let f(m) be the second derivative of m**5/20 - m**4/4 + m**3 - 5*m**2/2 + m. Let c be f(2). Solve -4*z - 5*l + 18 = 0, c*z + 4*l - 4 = 10 for z. 2 Suppose -45*j + 36 = -36*j. Solve 0 = -j*r + q + 5, -3*r = 5*q - 15 - 6 for r. 2 Let b be (2/3)/(30/(-5445)). Let x = b - -130. Solve -q + 3*s = -3*q - 7, -4*q - x = s for q. -2 Suppose -2*i - 1 = -5. Suppose -4*y + 3*y - i*r = -19, -2*y - 2*r = -36. Solve -y = 4*j - l, 3*j - 2*l + 14 = -0*l for j. -4 Let o(w) = -3*w**2 - 22*w - 39. Let q be o(-3). Solve 3*p + q + 1 = -f, -f - 5 = 5*p for p. -2 Let t = -20 - -36. Suppose -4*m = -m, -t = -4*j - 5*m. Suppose 3*g = l + 2*g - 3, j*l - 3 = -5*g. Solve -x = q + l, 5*q = 4*x + 26 - 0 for x. -4 Suppose 0 = -0*z - 3*z. Suppose z = -g - g - 6. Let o be -2 - 6/(-3) - g. Solve -3*l + 16 = 2*i, 3*l - 1 = -2*i + o*i for l. 2 Suppose 0 = 23*f - 12*f - 22. Solve 5*k = -5*s + 5, -37 = k + f*k - 5*s for k. -4 Let z(o) = o + 9. Let q be z(-7). Let b be (-15)/(-10) - (-3)/q. Solve -6*t + 5*t - 3*m = 17, -m = b*t + 19 for t. -5 Suppose 3*q - 12 = q. Suppose -q - 21 = -9*r. Solve x = 4*z - 22, -7 - 6 = -r*z - x for z. 5 Let m be (4 - 2)*1 + 1. Suppose -2*s + 1 + m = 0. Let q = 1 + 1. Solve 3*r - 5 = w + s*r, -q*w - 5 = -r for w. 0 Let x(l) = -l**3 + 5*l**2 - l + 4. Let j be x(5). Let t be (-42)/(-21) + 1 + j. Solve v - 1 = 3*n + 13, t*v + 5*n = -16 for v. 2 Let n = 0 + 1. Let s = n - -1. Suppose 3*t - 120 = -114, -6*l + 8 = 4*t. Solve -4*f + 31 = 5*v, l = -2*f + v + s*v - 1 for f. 4 Let p = 150 + -148. Solve -13 = -m + p*s - 6*s, m = 2*s - 11 for m. -3 Suppose 3*z = -5*i - 2*z + 40, -3*z = 4*i - 28. Let n(s) = s**3 + 8*s**2 + 9*s. Let f be n(-6). Let c = 12 - 10. Solve i*k + f = -o, -k + o = -2*o - c for k. -4 Let h be 9*32/72 + 14. Suppose 5*v = 10, -s - 3*v - 2*v + 13 = 0. Let l = s + -3. Solve 0 = 5*b - 0*b + 10, l = -4*c + 3*b + h for c. 3 Let i = 758 + -755. Solve z + 5 = g, -i*z - 2*g + 4*g = 10 for z. 0 Suppose 3*m = 5*h + 46, m - h = -m + 19. Suppose 3*j - 40 - 2 = 3*l, 56 = 3*j + 4*l. Suppose 48*i = 52*i - j. Solve -3*b - 11 = -c, b = i*c + 6*b + m for c. 2 Let z be 64/24 + (-2 - 12/(-9)). Solve 3*l + 0 = -z*x + 1, 0 = -4*l + 2*x + 20 for l. 3 Let z(q) = q**3 + 4*q**2. Let f be z(-4). Let c be 3/(-9)*f*(-1)/2. Solve 2*l + j + c*j + 5 = 0, 3*j - 17 = 2*l for l. -4 Suppose 81 = 18*x - 99. Solve 0*b + b = -j + 5, -b = -2*j + x for j. 5 Let i be ((-2)/(-3))/((-3)/(-9)). Let r(o) = -35*o - 987. Let t be r(-29). Let h be (-1 - 0) + (0 - -1). Solve -t = i*z - h*z - 5*y, 0 = 5*z - y + 24 for z. -4 Let a(z) = -5*z - 4. Let i(m) = -4*m - 3. Let x(w) = -3*a(w) + 4*i(w). Let n be x(-10). Solve 5*c = -3*l + 2*c, -4*l - 2*c - n = 0 for l. -5 Suppose 5*t + 2*c = 21, -45 + 33 = -t - 3*c. Solve 0 = -t*a - 3*f + 12, 3*a + f = -3*f + 17 for a. -1 Suppose -x = -o - 106, 7*o + 500 = 2*o - 5*x. Let z = o - -107. Solve -3*d - 2*v - 19 = 0, -25 + z = 5*d - 2*v for d. -5 Suppose -3*j = 2*a + 39 - 117, -5*j + 105 = -5*a. Let s = j + -20. Solve 0*t = -2*c - 2*t + 2, 0 = s*c + 5*t - 5 for c. 0 Let f(l) = l**2 + 24*l + 135. Let j be f(-9). Solve 3*c = j, 5*v + 4*c = -0 - 15 for v. -3 Let p(y) = y**2 + 6*y + 7. Suppose 2*k - 10 = 5*x, 0 = -5*k + x + 4*x - 5. Let m be p(k). Suppose m*c = 6*c - 8. Solve 2*u = 2*f + 4, u + 1 = 2*f + c*f for u. 3 Let y(l) = 2*l + 2. Suppose 0 = -2*i - 0*i. Let m be y(i). Suppose 5*q - 59 = -m*o, 0*q + 2*q = 2*o + 18. Solve 4*c - 21 = 3*p, -3*p + 2*c = 4 + q for p. -3 Let d be (6/4*(-10)/(-3))/1. Solve d*t = 2*m + 4, 0 = 4*m - 0*t - t - 10 for m. 3 Suppose -10*y + 6*y + 28 = 0. Suppose 2*a = y*a - 15. Solve 0 = -3*d - a*x, -3*d + 8 = -5*d + 2*x for d. -2 Let q be (-3)/(-1) + -9 + 12. Solve 4*d + n = -6, d + q*n = n + 8 for d. -2 Suppose -44 = 101*r - 112*r. Solve 0*j + j = r*h + 24, 3*h + j + 11 = 0 for h. -5 Suppose 0 = 5*j - 26 - 14. Solve 2*g - 5*g + 20 = -2*o, -3*g - j = 5*o for g. 4 Let j(w) = -41*w - 39. Let u be j(-1). Solve 0 = u*n + 5*a, 5*a + 10 = -3*n - n for n. -5 Let l be (-136)/(-120) - (-2)/(-15). Suppose 3*i + 6 + 0 = 0. Let a be 9 + l/(i/6). Solve a*d = d - 3*s - 13, 5*d = 4*s - 41 for d. -5 Suppose 44 = -4*g - n + 5, 3*g = 5*n - 58. Let o(b) = b**3 + 12*b**2 + 12*b + 17. Let f be o(g). Solve -3*a = -2*v, -3*v + f + 5 = a for v. 3 Let s be 1 + 7 - -3*(0 - 1). Solve 0*u = s*u + 10, -4*g + u - 10 = 0 for g. -3 Suppose 4 = 3*q - 2. Let z(x) = x - 1. Suppose -6 = 3*f - 5*f. Let j be z(f). Solve s + 5*p = 4, -3 = -j*s - 3*p - q for s. -1 Let o be -9 + (6 - -4) - -19. Solve 3*i - 3*u = 0, -2*i + 3*i + 4*u = -o for i. -4 Suppose 10 = 5*y - 10. Let q be (-16 + 10)*16/(-6). Solve q = y*o, 0*t - t + 2*o - 8 = 0 for t. 0 Suppose h - 4*s = -11, h + 3*h - 5*s = 0. Solve -4*d = 5*k - k + 8, h*d = -3*k for d. 3 Let t = 123 - 123. Solve -4*r - 5*f = -0*f - 15, t = -5*r + 2*f + 27 for r. 5 Suppose 5*r = -5*o + 30, -r - 9 + 3 = -5*o. Suppose 3*g = -3*n + 21, o*g = -0*n - 3*n + 16. Solve -z - g*q = -2*q + 9, -11 = z + 4*q for z. -3 Suppose -26 + 18 = -2*d. Solve 6*l - l + 32 = d*f, 2*f - 14 = 2*l for f. 3 Let v(x) = x**3 - x**2 - 9*x - 6. Let b be v(-2). Solve b = 4*y - 3*t - 23, 5*t - 3 = -y + 3*t for y. 5 Let u be (2 + 2/(-1))/(2/(-1)). Suppose u = 8*o - 10*o + 4. Solve o*n + 30 = -5*j + 5*n, -5*n + 34 = -3*j for j. -3 Suppose -4*i - i - 25 = 0. Let s(w) = 2*w**3 - 8*w**2 + 2*w - 9. Let c be s(4). Let m be 0/c*(i - -6). Solve -n - 10 = -m*n - 5*l, -5*n + 2*l = 4 for n. 0 Suppose 31 = 4*g - 3*g. Let b(x) = 2*x**2 + 56*x - 29. Let i be b(-28). Let v = i + g. Solve -v*t - 3*n + 2 - 3 = 0, 4*t + 3*n = -5 for t. -2 Let l = 215 - 193. Solve -4*o + 3*m = l, 0*o + 14 = -3*o + m for o. -4 Let o = -49 + 103. Let h = o + -49. Solve -7 = -4*m - f + 6, 21 = -2*m + h*f for m. 2 Let j = -702 - -709. Solve -x = 2*w, 5*w - 2*x + 10 = -j*x for w. 2 Let p(d) = -d**3 + 4*d**2 + 4*d - 12. Let s be p(2). Suppose 4*k + 4*v = 16, 0*k - 4*k + 4 = v. Solve 3*u - 5*z = k, -s*z = -3*u - 3*z for u. 0 Let s be 2/(5*(-2)/(-15)). Suppose 3*y - 8 = -2*c + 15, 3*c = s*y - 3. Let p = -40 - -58. Solve 5 = 3*l - 2*h - y, 4*l - 5*h - p = 0 for l. 2 Let g(j) = 2*j + j**2 - 5*j + 2*j. Let u be g(-1). Solve 0 = -2*m - 2*n - 1 + 5, m - u*n = 5 for m. 3 Let m(c) = 9*c - 59. Let d be m(7). Solve -4*v - 3*z + d = 3, z = -v + 1
{ "pile_set_name": "DM Mathematics" }
4309? 333 What is the highest common factor of 488 and 504? 8 Calculate the greatest common factor of 105525 and 875. 175 What is the highest common divisor of 231 and 172689? 33 What is the highest common factor of 471 and 192? 3 What is the greatest common factor of 18 and 1056? 6 What is the highest common divisor of 7831 and 94177? 41 What is the highest common factor of 173136 and 1092? 12 Calculate the greatest common divisor of 16214 and 536. 134 Calculate the highest common divisor of 255035 and 55. 55 Calculate the highest common factor of 153 and 627147. 153 What is the highest common factor of 6 and 47354? 2 What is the greatest common divisor of 261 and 981? 9 What is the greatest common factor of 11820 and 4908? 12 Calculate the highest common divisor of 120510 and 126. 18 Calculate the greatest common factor of 27140 and 1340. 20 What is the highest common divisor of 3262 and 56? 14 What is the highest common divisor of 88631 and 1011? 337 Calculate the greatest common divisor of 6921 and 324. 9 Calculate the highest common factor of 248 and 75268. 124 Calculate the highest common factor of 4270 and 13930. 70 What is the highest common divisor of 1519 and 1457? 31 Calculate the highest common factor of 16193958 and 44. 22 Calculate the highest common divisor of 3087 and 5978. 49 Calculate the highest common divisor of 895531 and 2028. 169 What is the highest common divisor of 203 and 204827? 203 What is the highest common factor of 35619 and 837? 93 Calculate the greatest common divisor of 7 and 391307. 7 What is the greatest common divisor of 732 and 13056? 12 What is the greatest common divisor of 2 and 29302? 2 Calculate the greatest common factor of 114 and 67526. 38 Calculate the highest common divisor of 39650 and 611. 13 Calculate the highest common divisor of 31 and 16156. 1 What is the highest common factor of 62405 and 70? 35 Calculate the highest common divisor of 13394 and 9050. 362 Calculate the greatest common factor of 15557 and 10951. 47 Calculate the highest common divisor of 154122 and 102. 102 What is the greatest common factor of 1200835 and 185? 185 Calculate the highest common factor of 6610 and 40. 10 Calculate the greatest common divisor of 332 and 176. 4 Calculate the highest common divisor of 1713 and 6606. 3 Calculate the greatest common factor of 325 and 120875. 25 What is the highest common divisor of 245230 and 104120? 1370 Calculate the highest common divisor of 3025 and 155485. 605 What is the highest common factor of 879573 and 123? 123 Calculate the greatest common factor of 40950 and 135954. 1638 What is the highest common factor of 385999 and 53? 53 What is the highest common factor of 2944 and 7? 1 Calculate the greatest common divisor of 3982 and 418. 22 Calculate the highest common divisor of 166278 and 444. 222 What is the highest common factor of 1876 and 21? 7 Calculate the greatest common divisor of 5975 and 72178. 239 Calculate the greatest common divisor of 40716 and 9. 9 What is the greatest common divisor of 40218 and 186? 6 What is the highest common divisor of 17085 and 2805? 255 Calculate the greatest common factor of 1811876 and 132. 44 Calculate the greatest common factor of 17346 and 396312. 294 What is the greatest common factor of 63729 and 93411? 873 What is the highest common factor of 2425 and 105536? 97 Calculate the highest common divisor of 2183 and 8288. 37 What is the greatest common divisor of 12425 and 1120? 35 Calculate the greatest common factor of 847 and 9289. 7 Calculate the greatest common factor of 152 and 85956. 76 What is the highest common divisor of 5410 and 70? 10 Calculate the highest common divisor of 22 and 1423444. 22 Calculate the greatest common divisor of 21 and 968352. 21 Calculate the highest common factor of 4 and 198. 2 What is the greatest common divisor of 174 and 29696? 58 What is the highest common divisor of 25350 and 1920? 30 What is the highest common divisor of 302945 and 10? 5 What is the highest common factor of 96594 and 204? 102 What is the highest common divisor of 1535 and 35? 5 What is the highest common factor of 73390 and 20? 10 Calculate the greatest common factor of 7 and 4405898. 7 Calculate the greatest common divisor of 8279 and 19967. 487 Calculate the greatest common divisor of 16042 and 2795. 13 Calculate the greatest common factor of 443113 and 11. 11 What is the greatest common divisor of 242 and 814? 22 What is the highest common divisor of 14 and 96313? 7 Calculate the greatest common factor of 25 and 139985. 5 What is the highest common factor of 986 and 23026? 58 What is the highest common factor of 58 and 108866? 58 Calculate the greatest common factor of 4 and 66596. 4 Calculate the greatest common divisor of 7073714 and 463. 463 Calculate the greatest common divisor of 30558 and 462. 66 Calculate the highest common divisor of 156 and 2066844. 156 Calculate the highest common factor of 96176 and 80. 16 Calculate the greatest common divisor of 2112 and 1848. 264 Calculate the greatest common factor of 2782 and 26923. 13 Calculate the highest common divisor of 132873 and 468. 39 What is the greatest common divisor of 7059906 and 19? 19 Calculate the highest common factor of 22065 and 15. 15 Calculate the highest common factor of 8752 and 592. 16 What is the greatest common divisor of 387 and 5771331? 387 What is the highest common factor of 9445 and 3290638? 1889 Calculate the highest common factor of 158004 and 44289. 1197 What is the highest common factor of 192 and 48448? 64 Calculate the greatest common factor of 6330 and 602194. 422 What is the greatest common divisor of 28 and 39466? 14 Calculate the highest common divisor of 34 and 757231. 17 Calculate the highest common factor of 171410 and 305. 305 Calculate the greatest common divisor of 133329 and 1666. 49 What is the highest common divisor of 1920880 and 520? 520 Calculate the highest common divisor of 9 and 965655. 9 Calculate the highest common factor of 73472 and 902. 82 Calculate the highest common factor of 7936 and 6400. 256 What is the highest common divisor of 22 and 177397? 11 What is the greatest common divisor of 13419 and 2079? 189 What is the highest common factor of 390 and 166455? 15 Calculate the greatest common divisor of 5372 and 19592. 316 What is the greatest common factor of 7392 and 143088? 528 What is the greatest common factor of 3845 and 25? 5 Calculate the greatest common factor of 16592 and 29104. 272 Calculate the highest common divisor of 45 and 5450415. 15 Calculate the highest common divisor of 4426321 and 1346. 673 Calculate the greatest common factor of 670 and 12998. 134 Calculate the greatest common factor of 2171 and 27221. 167 What is the greatest common factor of 5340 and 3? 3 Calculate the highest common factor of 165 and 7205. 55 What is the greatest common divisor of 688 and 46096? 688 What is the highest common factor of 1050 and 132125? 175 What is the highest common divisor of 1362 and 5598? 6 Calculate the greatest common divisor of 1372 and 21. 7 What is the greatest common factor of 107562 and 42? 42 Calculate the highest common factor of 17999 and 149699. 439 Calculate the greatest common factor of 192 and 15600. 48 Calculate the highest common divisor of 280370 and 212. 106 What is the greatest common factor of 10125 and 1575? 225 Calculate the highest common divisor of 140 and 18872. 28 What is the greatest common divisor of 105 and 339375? 15 Calculate the greatest common factor of 2864 and 94870. 358 What is the highest common divisor of 6525 and 8976225? 2175 What is the highest common factor of 11640 and 360? 120 What is the greatest common divisor of 5432 and 295008? 56 What is the greatest common factor of 230 and 93380? 230 What is the greatest common factor of 98084 and 1356? 452 Calculate the highest common divisor of 28948 and 68. 4 What is the highest common divisor of 165840 and 240? 240 Calculate the greatest common divisor of 32 and 199. 1 Calculate the highest common divisor of 64155 and 234. 39 What is the greatest common divisor of 1095 and 60405? 15 What is the greatest common factor of 543 and 11584? 181 Calculate the greatest common divisor of 1046 and 190895. 523 What is the g
{ "pile_set_name": "DM Mathematics" }
- 4. Let n = 5 + -2. Give l(n). 7 Let y(g) be the third derivative of 0*g - 1/12*g**5 + 0 - 1/12*g**4 + g**2 - 1/2*g**3 - 1/120*g**6. Calculate y(-5). 7 Let h = 0 - 0. Let n(a) = 7 + 3*a - 2*a + a**3 + 0*a**3 - 2*a + a**2. Determine n(h). 7 Let s(q) be the first derivative of q**6/36 - q**5/120 - 2*q**3/3 - 7. Let y(z) be the third derivative of s(z). Determine y(-1). 11 Let m be 14/6 + 7/(-21). Suppose 4*f + c + 3*c = 28, -17 = -3*f - 2*c. Let d(a) = a**2 - 2*a**f - 3 + a**3 + 4*a - 3*a**2. What is d(m)? -11 Suppose 0 = -30*n + 62 + 58. Let p(f) = 2*f**2 + 0*f + 4 - 3 - 6*f. What is p(n)? 9 Let z = 35 - 36. Let i(u) = 4*u**2 + 1. Determine i(z). 5 Let u(o) be the third derivative of -o**4/24 + o**3/2 + 6*o**2. Let i be (-3)/2*8/(-6). Calculate u(i). 1 Let g(j) be the second derivative of 1/2*j**2 - 2/3*j**3 + 1/12*j**4 + 0 - 2*j. Suppose -2*a + 0 + 10 = 0. What is g(a)? 6 Let z(y) = y**2 - 2. Suppose 2*j = -2 - 4. Let w = -1 + j. Let p = w - -4. Determine z(p). -2 Let c = -30 - -46. Suppose -2*z + 6*z - c = 0. Let r(m) = -m**3 + 3*m**2 + 2*m + 5. Give r(z). -3 Suppose 0*r - 4 = -r. Let m(q) = 4*q**3 - 4*q + 5. Let z(y) = -y**3 + y**2 - 1. Let g(i) = m(i) + 5*z(i). Calculate g(r). 0 Suppose -n + 2 = -0. Let p(m) = 0*m**3 + 3 + m**3 - 4*m + m + 3*m**2 + n. What is p(-4)? 1 Let u(t) = t**3 + 6*t**2 + 5*t + 3. Suppose -2*z + 5*c - 23 = 0, 0*z + z + 3*c = 16. Let y be (-2 - (-1)/z) + -4. Calculate u(y). 3 Let x(k) = -k + 8. Suppose -5*u + 3*p - 18 = -105, -2*u = -2*p - 38. Suppose u = -4*s - 1. Let v(r) = r**3 + 3*r**2 - 6*r - 4. Let j be v(s). What is x(j)? 4 Let j(p) = 4*p + 7. Let i(o) = 5*o + 8. Let f be -1*6*(-2)/4. Let x be 11 + -4 + (1 - f). Let w(k) = x*i(k) - 6*j(k). Calculate w(4). 2 Let m(h) = 5*h**3 - h**2. Let n be m(1). Let o(t) = t**3 - 3*t**2 - t + 1. Determine o(n). 13 Let o(m) = -3*m + 2. Let h(q) = 0*q**2 + 5 + 7*q - 9*q**2 + q**3 + 0*q**2. Let p be h(8). Let n = p - -5. What is o(n)? -4 Let j(c) = -c**3 + c**2 + c + 2. Let k be (-1 - (-8)/6)*6. Let a be j(k). Let u(d) = d**2 - 5*d + 4. Let t(o) = o - 1. Let y(w) = 6*t(w) + u(w). Give y(a). -2 Let h(q) = -2*q + 1. Let g be h(-4). Let f = -5 + g. Let v(l) = -8*l**2 + 6 + 226*l + 9*l**2 - 233*l. Give v(f). -6 Let s(x) = x**2 - 6*x + 1. Let l(j) = 2*j**2 + 0*j**2 + 6 - j**2. Let i be l(0). Determine s(i). 1 Let a(o) = -2*o - 4. Let z be a(-4). Let s(m) be the first derivative of m**2 - 5*m - 1. Give s(z). 3 Let l = -43 - -45. Let m(h) = 2*h**3 - 3*h**2 + h - 2. Give m(l). 4 Suppose 3*v + 2*z + 10 = 0, 0 = 3*v - 0*z - z + 22. Let u(n) = n**3 + 6*n**2 - 2*n - 1. Determine u(v). 11 Let t(s) = -s**2 - 7*s - 9. Let k(h) = -h - 3. Let r be k(3). Give t(r). -3 Let z(q) = -q - 9. Suppose -5*d + p = 37, 3*d + 11 = -5*p - 0. What is z(d)? -2 Let h(l) = -3*l - 8. Suppose -5*o - 14 = 16. Calculate h(o). 10 Let x(o) = -o**2 + o + 1. Let h(w) = -8*w - 1. Let t(p) = h(p) + x(p). What is t(-6)? 6 Let o(r) = -r**3 - 16*r**2 + 19*r + 36. Let w be o(-17). Let z(c) = c**3 - c**3 + 2 + c**2 + c**3 - 2*c. Calculate z(w). 10 Let h(z) = 2*z + 3 - 7*z**2 + 8*z**2 - 6*z. Determine h(4). 3 Let d(t) = -3 - 4*t - 5*t + 4 + 8*t. Give d(6). -5 Let f(o) = 10*o - 6*o - 8*o + 2 - o + 2*o**2. Determine f(3). 5 Let q(f) be the third derivative of 0*f - 1/8*f**4 + 0 - 3*f**2 - 1/2*f**3 - 1/60*f**5. Give q(-5). -13 Let c(y) = 14*y**3 - 1. Let d be c(1). Suppose 38 - d = 5*l. Let h(n) = 0*n**3 + 9 + 10*n**2 - 5*n - 3 - 4*n**2 - n**3. Determine h(l). 6 Let d(v) be the second derivative of -2*v**3/3 - 4*v. Determine d(-2). 8 Suppose -2*z = -5*w - 32, 2*z = 6*z + w - 20. Let f be (z + -2)/2 - -3. Let j(n) = -n**2 + 4*n + 1. Let s be j(f). Let h(o) = -o. What is h(s)? 4 Let z(n) = 8*n - 1. Let p(u) = -u. Suppose -2*l - 6 = -l. Let x(t) = l*p(t) - z(t). Give x(4). -7 Suppose -4 = -10*r + 8*r. Suppose 0 = 2*q - 6*q + 12. Let o(z) = 3*z + 0*z - 2*z - q*z**2. Give o(r). -10 Let r(h) be the first derivative of -4*h**3/3 - h - 12. Let c(g) = g**3 - 5*g**2 - g + 4. Let p be c(5). What is r(p)? -5 Let g(z) be the third derivative of z**6/120 - z**5/15 - z**4/6 - 33*z**2. What is g(5)? 5 Let t(u) = -u - 2*u + 4*u. Let j be t(2). Let d(s) be the second derivative of -s**3/6 - s. Determine d(j). -2 Suppose 15*j - 8 = 11*j. Let v(k) be the third derivative of 0*k**3 + 1/120*k**6 - 1/12*k**4 - 2*k**j + 0*k + 0 - 1/15*k**5. Determine v(4). -8 Let u(g) = -1 - 3 + 5 + 3*g - 2*g. What is u(5)? 6 Let d be (-3)/5*(-15)/(-3). Let x(f) = -5*f - 3. Give x(d). 12 Let f(h) = -3*h**3. Let r be 2 + 2 + (-2 - -1). Suppose -r*p + 2*p = -2. Suppose -p*t = -t - 1. Give f(t). -3 Let o(u) be the third derivative of -u**4/24 - 2*u**3/3 - 5*u**2. What is o(5)? -9 Let m(l) = 4*l**3 + 15*l**2 - 10*l - 16. Let o(w) = 3*w**3 + 10*w**2 - 7*w - 11. Let j(f) = 5*m(f) - 7*o(f). Determine j(3). 12 Let z(t) be the second derivative of t**4/12 + t**3/6 - 4*t**2 + t. Suppose -x - x = 0. Give z(x). -8 Let f(b) be the second derivative of -b**7/840 - b**6/180 + b**5/60 - b**4/12 + b**3/3 - 3*b. Let x(z) be the second derivative of f(z). Calculate x(-3). 1 Suppose 2*r = 3 - 5. Let f(j) = 15*j - 2. Let o = 13 + -18. Let g(c) = -29*c + 3. Let y(u) = o*f(u) - 3*g(u). What is y(r)? -11 Let g = 1 + 5. Let u be (84/98)/((-1)/(-7)). Let h(c) = -2*c**2 + c**2 - 27 + u*c + 24. Calculate h(g). -3 Let r(p) be the third derivative of -p**5/60 + 5*p**3/6 - 13*p**2. Determine r(0). 5 Let x(l) = l**2 - l + 2. Let w be x(4). Let o(i) = 0*i**3 + 2 + 2*i**2 + i**3 + 6*i + 4*i - w*i. Calculate o(2). 10 Let v(d) = -d**3 - d**2 + d. Let j(n) = -4*n**3 - 4*n**2 + 7*n. Let g(i) = j(i) - 3*v(i). What is g(-3)? 6 Let v(o) = 23*o**2 + 4*o - 3 - 7*o**2 - 10*o**2. Determine v(2). 29 Let p(j) be the third derivative of j**6/120 + 7*j**5/60 - j**4/12 - 5*j**3/3 + 4*j**2. Let l be p(-7). Let k(u) = u**2 - 2*u + 2. Determine k(l). 10 Let l(i) = -4*i - 3. Let o be (-5)/(-3) + -1 + 8/(-3). Determine l(o). 5 Let d(x) = -13*x**3 - 33*x**2 + 9*x - 11. Let w(u) = 3*u**3 + 8*u**2 - 2*u + 3. Let h(p) = -2*d(p) - 9*w(p). Let r be ((-6)/(-1))/(4/(-4)). Give h(r). -5 Let m(o) = -7*o**3 + 3*o**2 + 8*o - 16. Let p(x) = -x**3 - x**2 + x - 1. Let a(s) = m(s) - 6*p(s). Give a(9). 8 Let r(j) = -3*j**3 + 5*j**2 - 11*j - 17. Let g(f) = 5*f**3 - 7*f**2 + 17*f + 26. Let b(i) = 5*g(i) + 8*r(i). Determine b(-5). 9 Let n(k) = -k + 1. Let s(v) = -4*v + 17. Let o(h) = 5*n(h) - s(h). What is o(9)? -21 Let s(q) be the third derivative of -q**5/60 - q**4/24 - 7*q**3/6 - 8*q**2. Give s(0). -7 Let l(m) = 3*m + 1. Let f(h) = -h - 8. Let v be f(8). Let x be (-2)/(-8) + (-12)/v. Give l(x). 4 Let w be 4 + -4 + 7/(-1). Let n(c) = -c**3 - 6*c**2 + 8*c + 5. Determine n(w). -2 Let m(b) = -2*b + 6. Let g = -12 - -17. What is m(g)? -4 Let v = 7 - 10. Let d(y) = -y**2 - 1. Let l(h) = -3*h**2 - 4*h - 4. Let i(p) = 2*d(p) - l(p). Give i(v). -1 Let x(r) be the first derivative of 7*r**2/2 + r + 1. Give x(-1). -6 Let c(t) be the second derivative of t + 1/12*t**4 + 0 - 1/2*t**3 - 3/2*t**2. Give c(5). 7 Let t(h) = -9*h - 1. Let r = -13 - -14. Determine t(r). -10 Let u(l) = l**3 - 2*l**2 + 1. Let a(w) = 2*w - 5. Let s(p) = 4*p - 10. Let n(z) = 13*a(z) - 6*s(z). Let o be n(4). Suppose -o*r - 2*r = -10. Determine u(r). 1 Let r(w) be the third derivative of w**6/60 - w**5/30 - w**4/24 - w**3/6 + w**2. Suppose -6*z + 5 = -z. Suppose 5*x = -3*y + 5 + z, 5*y - 10 = -2*x. Give r(y). 5 Let h(k) = -2*k + 16. Let c be h(11). Let b(l) = 4 + l - 4. Calculate b(c). -6 Let i(n) = n**3 + 3*n**2 - 1. Let c(t) = t + 4. Let p be c(0). Suppose w - p = 3*w. What is i(w)? 3 Let i(o) be the first derivative of -2*o**3/3 + 3*o**2/2 + 2*o - 11. Give i(3). -7 Let x(n) = -n + 2. Let q = 18 - 15. Give x(q). -1 Let w(o) be the first derivative of -1 + 1/2*o**2 - 1/3*o**3 - 5*o. Suppose -5*x = -8*x. What is w(x)? -5 Let q(y) be the second derivative of y**3/6 + 5*y**2 + 3*y + 13. Give q(-6). 4 Suppose 5*j = -4*j. Let t(b) = b**3 - b - 3. Calculate t(j). -3 Let m(x) be the second derivative of x**4/12 + x**3/6 + 7*x**2/2 - x. Let h be 3 - (-1 - 0 - 0). Let j be 30/105 + h/(-14). Give m(j). 7 Let q(y) = 1. Let p(r) = -2*r + 8. Let d(z) = p(z) - 6*q(z). Let b(a) = -3*a. Let g be b(-1). Give d(g). -4 Let u(l) be the first derivative of -l**3/2 - l - 4. Let k(g) be the first de
{ "pile_set_name": "DM Mathematics" }
What is the derivative of 112 - 7*a**3 - 61*a**s - 3 - 85*a**3 wrt a? -459*a**2 Let q(k) = 2*k**3 - 4*k**2 + 7*k - 6. Let b be q(4). Suppose -3*x + 1972 - 1960 = 0. Find the second derivative of b + 33*g + 3*g + 5*g**x - 86 wrt g. 60*g**2 Let h(u) = -u**3 - 6*u**2 - 14*u - 4. Let o be h(-6). Let s = 83 - o. What is the first derivative of -81 - 5*q**s + 24*q**3 + 94 wrt q? 57*q**2 What is the second derivative of 155*v**4 - 337*v**4 + 2*v**2 + 173*v**4 - 2*v**2 + 5*v - 58 wrt v? -108*v**2 Suppose 3*y + 4*y - 28 = 0. Let t(q) be the first derivative of 691 - 702 + 4*q**3 - 10*q + y*q**3. Differentiate t(n) with respect to n. 48*n Let n(r) be the first derivative of -1695*r**7/7 - r**6/6 + 52*r**3/3 - 2*r**2 - 2099. What is the third derivative of n(y) wrt y? -203400*y**3 - 60*y**2 Let p(l) be the first derivative of -167*l**6/3 + 4*l**5/5 + 1294*l**2 + 601. Find the second derivative of p(y) wrt y. -6680*y**3 + 48*y**2 Let x(u) be the third derivative of 127*u**6/120 - 7*u**5/30 + 53*u**4/24 - 25*u**3/6 - 14*u**2 + 70*u. Find the second derivative of x(h) wrt h. 762*h - 28 Let q(m) = -38132*m**2 + 98*m - 184. Let d(z) = 7625*z**2 - 21*z + 37. Let a(k) = 14*d(k) + 3*q(k). What is the first derivative of a(w) wrt w? -15292*w Find the first derivative of -11704 + 130*q**3 + 36*q**3 + 13635 wrt q. 498*q**2 Suppose -34*r + 29*r = -2*l - 24, -18 = -2*r - 2*l. What is the second derivative of -32*u - 4*u**3 + 28*u - r*u - 34*u - 22*u**2 - 28*u wrt u? -24*u - 44 Let o(f) be the second derivative of -f**6/30 - 689*f**3/3 + 2213*f**2 + 2*f + 4744. What is the derivative of o(t) wrt t? -4*t**3 - 1378 Let g(s) be the first derivative of -11*s**5/5 - 169*s**4/4 + 355*s**3/3 + 3*s**2/2 + s - 2291. What is the third derivative of g(y) wrt y? -264*y - 1014 Let q(w) = 10*w**2 + w + 17. Let k be q(-4). Find the first derivative of 352 - 282 - k + 18*t**4 wrt t. 72*t**3 Find the second derivative of 521*x - 452*x**2 + 4797 - 345*x**2 - 1923*x**2 - 520*x - 1785 wrt x. -5440 Let w(d) = d**3 + d**2 - 91. Let u(b) = -45. Let l be -2 + ((-80)/44 - (-6)/(-33)). Let k(c) = l*w(c) + 9*u(c). Differentiate k(o) with respect to o. -12*o**2 - 8*o Suppose -w + 10 = 4*w + q, -3*w + 14 = -q. Find the second derivative of 5*c**2 - 13 + 5 - c**w - 9*c**2 + 5*c wrt c. -6*c - 8 Let w(x) be the third derivative of -140*x**2 + 0*x**6 + 1/10*x**5 + 0*x**4 + 0 - 1/210*x**7 + 0*x - 34/3*x**3. What is the derivative of w(s) wrt s? -4*s**3 + 12*s Let d(q) be the second derivative of 565*q**4/12 + 2*q**3/3 - 1152*q**2 + q + 3203. What is the derivative of d(r) wrt r? 1130*r + 4 Suppose -5*d = -d - 20, 2*p - 4*d - 1148 = 0. What is the second derivative of 584 - p - 11*v**2 - 77*v wrt v? -22 Let v(n) = -n**3 + 24*n**2 + 27*n - 36. Let w be v(25). Find the third derivative of 191*j**2 - w*j + 14*j + 156*j**6 - 18*j**6 wrt j. 16560*j**3 Let r(v) = 8097*v**3 + 9*v**2 - 9*v + 8526. Let h(l) = -10121*l**3 - 11*l**2 + 11*l - 10657. Let o(j) = -9*h(j) - 11*r(j). Differentiate o(y) wrt y. 6066*y**2 Let w(s) be the second derivative of 994*s**4/3 - 3013*s**3/2 - 10506*s. What is the second derivative of w(u) wrt u? 7952 Let u(h) = -10*h + 99 + 14*h + 18*h + 11*h. Let z(n) = 33*n + 100. Let f(b) = -5*u(b) + 4*z(b). What is the derivative of f(g) wrt g? -33 What is the third derivative of -11387172 + 11387172 - 1715*b**2 + 1857*b**4 wrt b? 44568*b Let s(j) = -120*j**2 - 4*j + 10. Let r(u) = -4709 + 4709 + u**2 + u. Let n(x) = 4*r(x) + s(x). Differentiate n(h) wrt h. -232*h Let o(n) = 2*n - 47. Let x be o(26). What is the second derivative of 57 - d - 86*d**5 - 42*d**5 - 60*d**5 + 44*d**x wrt d? -2880*d**3 Let k = -26 + 28. What is the third derivative of -13*q**k + 408*q**6 + 9*q**3 + 401*q**6 - 817*q**6 + 36*q**2 wrt q? -960*q**3 + 54 What is the first derivative of 4096*r**3 + 1160*r**3 - 4856 - 7584 + 2519*r**3 wrt r? 23325*r**2 What is the third derivative of 97*j**5 - 4*j**4 - 23537*j - 1065*j**5 + 23536*j + 933 + 2*j**2 wrt j? -58080*j**2 - 96*j Let m(a) be the first derivative of -3*a**7/40 - 125*a**4/24 - 106*a**3/3 + 44. Let f(r) be the third derivative of m(r). Differentiate f(z) wrt z. -189*z**2 Find the second derivative of 3*n**4 - 981 - 224*n**3 + 73*n + 980 + 13*n wrt n. 36*n**2 - 1344*n Let y(f) be the second derivative of 13829*f**5/20 + f**4/6 - 8*f**3/3 - 19*f**2/2 - 14845*f. Find the third derivative of y(n) wrt n. 82974 Let o(a) be the first derivative of -650*a**4 + 415*a**3/3 - 4702. What is the third derivative of o(x) wrt x? -15600 Let j(l) = -3*l - 1. Let k(a) be the second derivative of -8*a**3 + 26*a. Let o(b) = 5*j(b) - k(b). Differentiate o(y) with respect to y. 33 Let y(g) be the first derivative of -75*g**6/2 + 2*g**3 - 4000*g**2 + 9829. What is the second derivative of y(b) wrt b? -4500*b**3 + 12 Let h(d) be the first derivative of 181*d**5/20 + 157*d**2/2 - 103*d + 10. Let k(z) be the first derivative of h(z). What is the derivative of k(f) wrt f? 543*f**2 Let q = -7357 - -29447/4. Let t(i) be the first derivative of -q*i**4 + 0*i**3 + 0*i**2 + 10*i + 8. What is the first derivative of t(w) wrt w? -57*w**2 Let j = 190 - 184. Find the first derivative of -22*y - 24*y + 5 - j*y - 86 wrt y. -52 Let t(c) = c**3 - 4*c. Let o(f) = 5491*f**2 - 5093*f. Let v(j) = -o(j) - 2*t(j). Find the second derivative of v(u) wrt u. -12*u - 10982 Let j(u) = -2478*u**2 + 14*u - 4076. Let k(h) = -h**2 + 2*h - 2. Let q(l) = j(l) - 7*k(l). What is the derivative of q(g) wrt g? -4942*g What is the second derivative of 7*i**3 - 2*i**4 - 9279*i - 53*i**3 + 6743*i - 76*i**3 - 11611*i wrt i? -24*i**2 - 732*i Suppose 71 + 139 = 7*h. Differentiate -9 + 18 + 14 - h*j**4 + 104*j**4 wrt j. 296*j**3 Let b(i) be the first derivative of 17*i**4/3 + 37*i**3/2 - 33*i - 31. Let d(s) be the first derivative of b(s). Find the second derivative of d(t) wrt t. 136 Let d = 51 + -50. Let y be d + (-3)/(-9)*9. What is the third derivative of -22*f + 38*f - 20*f - 3*f**2 + 15*f**5 - f**y wrt f? 900*f**2 - 24*f Suppose c + 72 - 76 = 0. What is the derivative of 14*u**c - 29 + 5 - 31 wrt u? 56*u**3 Let q(h) be the first derivative of -68 + 0*h**5 + 0*h**2 + 0*h + 0*h**6 - 66/7*h**7 - 37/3*h**3 + 0*h**4. What is the third derivative of q(n) wrt n? -7920*n**3 Let m(i) be the second derivative of 253*i**4/4 - 509*i**3/6 - i**2 - 1044*i. What is the second derivative of m(u) wrt u? 1518 What is the third derivative of -1014*u**2 - 1912*u**6 + 1434*u**6 - 111*u**2 wrt u? -57360*u**3 Let z(c) be the third derivative of c**5/20 + 17*c**4/3 - 767*c**3/2 - 2*c**2 - 8*c - 437. What is the derivative of z(n) wrt n? 6*n + 136 Let t be (12 - (-366)/(-30)) + 11/5. What is the first derivative of -11*g - 9*g + 4*g**t - 6*g - 159 + 25*g - 12*g wrt g? 8*g - 13 Let g(u) be the first derivative of u**4/2 + 977*u**3/3 + 73*u**2/2 + 2*u - 302. What is the second derivative of g(x) wrt x? 12*x + 1954 Find the second derivative of 3 + 2 + 449*u - 204*u - 2*u**5 + 592*u**2 - 17*u**2 - 147*u wrt u. -40*u**3 + 1150 Let c = 280 + -275. Find the third derivative of -96*y**2 + 2 - 216*y**c - 3 - 21*y**2 + 1 wrt y. -12960*y**2 Suppose 2*z - 25*z + 69 = 0. What is the third derivative of 17*u**z - 15*u**3 - 12 - 2*u**2 - 16*u**5 + 3 wrt u? -960*u**2 + 12 Let h(j) be the third derivative of -43/15*j**5 + 0*j**3 + 0 + 0*j**4 + 0*j + 184*j**2 + 1/8*j**8 - 1/60*j**6 + 0*j**7. Find the third derivative of h(w) wrt w. 2520*w**2 - 12 Let h(p) be the second derivative of -7/6*p**6 + 0 + 0*p**4 - 8*p + 0*p**3 - 2*p**2 + 0*p**5. Find the first derivative of h(y) wrt y. -140*y**3 Let o(f) = 5416*f**4 + 11*f**3 + 1243*f**2 + 11*f - 209. Let b(g) = -g**4 + g**3 + g - 19. Let v(t) = 22*b(t) - 2*o(t). Find the third derivative of v(z) wrt z. -260496*z Let s(j) be the third derivative of 19*j**7/210 + 13*j**6/20 + 19*j**5/10 + 5*j**3/2 + 10*j**2 + 107*j. Find the third derivative of s(i) wrt i. 456*i + 468 Let o(m) = -2*m**3 - 31*m**2 - 40*m + 31. Let k be o(-14). Let n = 4 - 1. What is the third derivative of -60*d**2 - 14*d**k + 70*d**2 - 9*d**n wrt d? -138 What is the second derivative of -171*g + 143*g**2 - 220*g + 75*g**3 + 46*g - 73*g**3 wrt g? 12*g + 286 Let z(j) be the first derivative of j**4/4 + 52*j**3/3 - 1910*j - 1187. Differentiate z(o) wrt o. 3
{ "pile_set_name": "DM Mathematics" }
+ 0 - 2/5*z**3 + w*z**2 = 0. Calculate z. -1, 0 Let t(w) be the third derivative of -19/540*w**6 + 13/945*w**7 + 0*w + 57*w**2 + 0 - 29/54*w**5 - 1/1512*w**8 - 44/27*w**4 - 64/27*w**3. Factor t(y). -2*(y - 8)**2*(y + 1)**3/9 Let m(s) be the second derivative of 3*s**5/20 + 25*s**4/4 - 13*s**3 + 365*s + 3. Factor m(l). 3*l*(l - 1)*(l + 26) Let f be 1 - (0 + 1 + -2). Let d = 776957 + -776952. Let -5/2*x**f + d*x + 15/2 = 0. What is x? -1, 3 Let b(x) = -14*x**2 - 76*x + 2162. Let t be b(10). Factor 1/2*v**t + 4*v + 7/2. (v + 1)*(v + 7)/2 Let n = -23988 - -263870/11. Find h, given that -n*h**4 - 42/11*h + 0 + 82/11*h**2 - 38/11*h**3 = 0. -21, 0, 1 Let k(d) be the second derivative of 61*d**5/5 + 731*d**4/18 - 2*d**3/9 - 4*d - 285. Suppose k(m) = 0. What is m? -2, 0, 1/366 Let h = 21543 - 129257/6. Let m(c) be the second derivative of 1/12*c**4 + 0 - 10*c - 1/60*c**5 + h*c**2 - 1/6*c**3. Factor m(u). -(u - 1)**3/3 Factor 51*r + 315/2 - 1/2*r**2. -(r - 105)*(r + 3)/2 Let o(c) = 4*c**5 + 76*c**4 - 124*c**3 - 636*c**2 + 304*c + 416. Let k(d) = -d**5 + d**4 + 2*d**3 + 3*d**2 + 2*d - 2. Let t(h) = -8*k(h) + o(h). Solve t(z) = 0. -6, -3, -2/3, 1, 3 Let a(j) be the first derivative of -j**5/3 - 925*j**4/12 - 14105*j**3/3 + 14415*j**2/2 + 11547. Let a(q) = 0. What is q? -93, 0, 1 Solve 0 - 3*u**3 + 3*u + 3/7*u**2 - 3/7*u**4 = 0. -7, -1, 0, 1 Suppose 14 = 26*x - 2*c, 6*c + 7 = 5*c. Suppose x + 3/4*l**4 + 3*l**3 + 9/4*l**2 + 0*l = 0. Calculate l. -3, -1, 0 Factor -13/10*f**2 + 54/5 + 1/10*f**3 + 12/5*f. (f - 9)*(f - 6)*(f + 2)/10 Let a = 153 + -151. What is p in 2*p**5 + 6*p**4 - 2*p - 2*p - 6*p**a - 682*p**3 + 684*p**3 = 0? -2, -1, 0, 1 Suppose 6895 = -154*s + 149*s. Let v = -1377 - s. Factor 1/3*w**v + 0*w + 0 - 1/3*w**3. -w**2*(w - 1)/3 Factor 369664/3 + 1/3*r**2 - 1216/3*r. (r - 608)**2/3 Let h = 270/143 - 1604/1001. Suppose 0 = 5*n - 9 - 1. Factor 4/7 - h*x**n - 2/7*x. -2*(x - 1)*(x + 2)/7 Suppose -1732/7 + 2/7*h**2 + 862/7*h = 0. Calculate h. -433, 2 Determine x, given that -112*x**3 - 1750*x + x**4 + 1274*x**2 + x**4 - 2366*x = 0. 0, 7, 42 Let i be -2 - -11 - 0/7. Let p be (-8)/(-6) + -4 + 267/i. Factor 18*v - 24*v - 9*v - 21*v - 12*v**2 - p. -3*(2*v + 3)**2 Solve -8/13*q**2 - 114/13*q + 0 + 10/13*q**3 = 0. -3, 0, 19/5 Let t(c) be the third derivative of -c**5/210 - 1087*c**4/42 - 1181569*c**3/21 - 1213*c**2 + 2*c. Find b, given that t(b) = 0. -1087 Suppose 2*a + 19*p = 24*p + 54, 3*a + 4*p = -34. Solve 1/6*u**4 - 5/6*u**3 + 0*u + 1/2*u**a + 1/6*u**5 + 0 = 0. -3, 0, 1 Let l(b) = 64*b**2 - 139*b**2 + 81*b**2 + 2463 - 313*b + 993. Let d(p) = -9*p**2 + 467*p - 5184. Let c(q) = 5*d(q) + 7*l(q). Solve c(h) = 0 for h. 24 Suppose 0 = 3*b + 8*i - 10*i - 23, 0 = 5*i + 5. Suppose 13*z - 80 = -b*z. Factor -2/5*l**z - 6/5*l + 0 - 2/5*l**3 + 2*l**2. -2*l*(l - 1)**2*(l + 3)/5 Let z(t) be the second derivative of -3/10*t**3 - 2 + 38*t + 1/100*t**5 + 1/2*t**2 + 1/20*t**4. Let z(b) = 0. Calculate b. -5, 1 Factor -49/6*n - 1/6*n**2 - 164/3. -(n + 8)*(n + 41)/6 Find n, given that 730/7*n + 368/7*n**2 + 2/7*n**3 + 52 = 0. -182, -1 Let a(z) = -393*z**3 - 3288*z**2 - 6627*z - 3327. Let o(b) = -105*b**3 - 822*b**2 - 1657*b - 832. Let g(c) = -4*a(c) + 15*o(c). Solve g(i) = 0. -1, 276 Let b(w) be the first derivative of -21/16*w**4 - 3*w - 39/8*w**2 + 304 - 15/4*w**3 - 3/20*w**5. Factor b(m). -3*(m + 1)**3*(m + 4)/4 Let 2/5*d**4 - 8*d**2 + 24*d - 6*d**3 + 128/5 = 0. Calculate d. -2, -1, 2, 16 Let m(b) be the second derivative of 0*b**4 + 1/42*b**7 + 0*b**2 + 8 - b + 7/150*b**6 + 0*b**3 + 1/50*b**5. Factor m(z). z**3*(z + 1)*(5*z + 2)/5 Find q such that 0*q**5 + 0*q**5 - 13*q**4 - 139*q**2 + 2*q**5 + 152 - 3*q**5 - 923*q + 817*q + 107*q**3 = 0. -19, -1, 1, 2, 4 Let n(a) = 72*a**2 - 274*a - 56. Let g be n(4). Let h(q) be the first derivative of 2*q**3 - 44 + g*q**2 + 2/5*q**5 + 2*q**4 + 0*q. Let h(d) = 0. What is d? -3, -1, 0 Let g(d) be the second derivative of d**6/10 + d**5/15 - 4*d**4/3 + 8*d**3/3 + 13*d**2 - 77*d. Let s(f) be the first derivative of g(f). Factor s(k). 4*(k - 1)*(k + 2)*(3*k - 2) Solve -2 + 22/5*m - 14/5*m**2 + 2/5*m**3 = 0 for m. 1, 5 Suppose -325*l + 390*l = 325. Let u(z) be the first derivative of 1/2*z**2 + 1/5*z**l + 9 - 1/4*z**4 - 1/3*z**3 + 0*z. Factor u(s). s*(s - 1)**2*(s + 1) Let l be -1*2 - 20/(-35)*1721. Let d = l - 980. Find v such that 12/7*v**2 + 2/7*v**3 + d*v + 0 = 0. -5, -1, 0 Let m(x) be the second derivative of x**7/168 - 117*x**6/20 + 123201*x**5/80 - 1950*x. Factor m(g). g**3*(g - 351)**2/4 Let b(c) = 0*c**2 + c - 10576*c**3 + 10575*c**3 - c**2 - c**4. Let l(i) = -10*i**4 + 10*i**3 - 20*i**2 + 10*i. Let d(y) = -5*b(y) + l(y). Solve d(w) = 0 for w. 0, 1 Let f(l) be the third derivative of 0*l + 0 + 34/105*l**7 + 31/30*l**6 + l**5 - 196*l**2 + 1/84*l**8 + 0*l**4 + 0*l**3. Determine a so that f(a) = 0. -15, -1, 0 Let v(i) be the first derivative of -4*i**5/5 + 2*i**4 + 4*i**3/3 - 4*i**2 + 182. Find w such that v(w) = 0. -1, 0, 1, 2 Let x(j) = 16*j**2 - 44*j + 24. Let p(v) = 65*v**2 - 178*v + 96. Let t be (27*(-2 + 7/3))/1. Let l(f) = t*x(f) - 2*p(f). Factor l(u). 2*(u - 2)*(7*u - 6) Let q = 306 - 302. Suppose 0 = -4*o, j + q*j - 3*o - 20 = 0. Factor 4/9 - 16/9*w**3 + j*w**2 - 8/3*w. -4*(w - 1)**2*(4*w - 1)/9 Let j = 1031 + -1031. Suppose j = 6*r + 44 - 44. Factor r + 2/9*m**3 - 2/9*m**4 + 2/9*m**2 - 2/9*m. -2*m*(m - 1)**2*(m + 1)/9 Let a(w) be the first derivative of w**5/10 - 35*w**4/8 - 41*w**3/6 + 183*w**2/4 - 54*w - 855. Factor a(z). (z - 36)*(z - 1)**2*(z + 3)/2 Let q(i) = i**3 - 8*i**2 + 25*i - 99. Let v be q(6). Let w be (-136)/(-20) - (-126)/v. Factor w*g**3 - 28/5*g**2 + 64/5*g - 48/5. 4*(g - 3)*(g - 2)**2/5 Let m(v) = 17*v**2 - 145*v + 1601. Let z = -345 + 347. Let t(n) = -5*n**2 + 48*n - 533. Let i(p) = z*m(p) + 7*t(p). Solve i(o) = 0. 23 Let r be -4*(5*3/(-15))/2. Let w(h) be the first derivative of 8 + 5/4*h**4 + 5/3*h**3 - 5*h - 5/2*h**r. Factor w(y). 5*(y - 1)*(y + 1)**2 Let n be (8513/(-639))/(((-1400)/15)/8). Let c = n + 1/1065. Let -c*t**2 + 0*t + 0 - 10/7*t**4 + 2/7*t**5 + 16/7*t**3 = 0. Calculate t. 0, 1, 2 Let c = 1/6466 - -9689/64660. Let q(r) be the third derivative of 27*r**2 + c*r**5 + 0*r**3 + 0 - 1/40*r**6 + 0*r + 1/2*r**4. Factor q(v). -3*v*(v - 4)*(v + 1) Let q(x) be the second derivative of -x**4/9 - 106*x**3/9 + 112*x**2 - 63*x + 27. Let q(o) = 0. Calculate o. -56, 3 Suppose 5147*l + 1014 = 5654*l. Find y such that -140*y**l - 146/3*y**3 - 256/3 - 10/3*y**4 + 832/3*y = 0. -8, 2/5, 1 Let d(o) = o**3 - 8*o**2 + 8*o + 2. Let n be d(7). Suppose 2 = n*k - 8*k. Let -4*v**3 - 6*v + 5*v**3 + 3*v**k + 2*v**3 = 0. Calculate v. -2, 0, 1 Factor -1/4*a**3 + 7/2*a - 5/4*a**2 + 0. -a*(a - 2)*(a + 7)/4 Let q(f) be the first derivative of -2*f**3/15 - 27*f**2 + 548*f/5 + 451. Factor q(l). -2*(l - 2)*(l + 137)/5 Let a = -735 + 737. Factor -88*c**2 + 20*c**3 + 216 - 492*c - 27*c**a - 37*c**2 + 24*c**2. 4*(c - 9)*(c + 3)*(5*c - 2) Let f(s) be the third derivative of s**7/1680 - 101*s**6/960 + 33*s**5/160 + 101*s**4/192 - 25*s**3/12 + 8*s**2 - 120. Determine t, given that f(t) = 0. -1, 1, 100 Let n = 30533 + -30530. Let r(k) be the third derivative of 0*k + 1/10*k**5 + 0 - 1/2*k**4 + 1/70*k**7 - 3/2*k**n + 1/10*k**6 - 10*k**2. Factor r(l). 3*(l - 1)*(l + 1)**2*(l + 3) Let d be (30044/370)/((-107)/(-55) + -2). Let n = d - -1489. Factor 2304*g - 288*g**2 - n*g**4 + 16*g**3 - 6912. -(g - 12)**4/3 Let c(b) be the first derivative of b**3 + 1089*b**2 - 4368*b + 4954. Factor c(d). 3*(d - 2)*(d + 728) Suppose -61 = -2*n - 3. Suppose 22*m - n = 21*m. Solve -12 - 4*c - 4*c**2 - 17 + m = 0. -1, 0 Let u be (-154 - -156) + ((-1602)/(-1052))/(-3). Let i = u - -2/263. Determine y so that 0*y - 1/2*y**4 + i*y**3 + 0 - y**2 = 0. 0, 1, 2 Let u(b) be the second derivative of -b**5/20 + 71*b**4/6 - 139*b**3/6 - 141*b**2 - 1567*b. Factor u(o). -(o - 141)*(o - 2)*(o + 1) Let b(t) = 22*t - 262. Let y be b(12). Factor 503*h + 128 + h**2 - 235*h + h**y - 236*h. 2*(h + 8)**2 Let x(p) be the third derivative of -p**5/12 - 7*p**4/6 + 7*p**3/3 - 90*p**2. Let i be x(-6). Factor 2/5*w**i + 2/5*w**5 + 0 + 6/5*w**4 + 6/5*w**3 + 0*w. 2*w**2*(w + 1)**3/5 What is i in 243*i**2 + 57 - 84*i**4 - 42*i**3 + 507/2*i + 9/2*i**5 = 0? -1, -1/3, 2, 19 Let p = -12/11
{ "pile_set_name": "DM Mathematics" }
2*q + 3*z - 1690, -z + 846 = -2*q - 832. Is -835 equal to q? False Let g(h) be the third derivative of h**4/8 + 4*h**3/3 + 2*h**2 + 8*h. Let s be g(-3). Which is greater: 2/193 or s? 2/193 Suppose -5*l - 4 = -24. Suppose w = 5*w - l. Is w != 3/17? True Let i(w) = -w**3 - 12*w**2 - 9*w - 3. Suppose -c + 3*j - 23 = 0, -2*c = 2*c - 3*j + 56. Let m be i(c). Is -25 less than m? False Let p = 14.91 + 1.79. Let r = p + -17.1. Is 76 at most as big as r? False Suppose -z + 6*z = -f - 184, -182 = f + 4*z. Let j = f + 2606/15. Which is bigger: 9 or j? 9 Let n = 1404.33 + -143.33. Is -5 >= n? False Let c = 10858 + -10858.04. Is c not equal to 2/253? True Let x = 3922.1581 - 3922. Let t = x + -0.0581. Is t bigger than 354? False Let f be 4/3 - (-1973606)/5511. Is f at most as big as 358? False Let n be 24/10 - (-4)/(-10). Let s be (830/(-40))/((-15)/(-560)). Let k = s - -777. Which is smaller: n or k? n Suppose 0*k + k = 35. Let i = k + -35. Suppose -y + 12 = y - 3*d, i = -2*y + 2*d + 8. Which is greater: 1/66 or y? 1/66 Let o be (-2)/7 - 304/(-966). Let i = 297 + -259. Suppose 6 = -i*f + 32*f. Which is bigger: o or f? o Let r = -93 - -93. Suppose r = -3*n - 2*v - 9, n = 4*n - 2*v - 3. Do n and 6/91 have the same value? False Let f be 26564/(-8) + (-1)/2. Let n be 9/15 + f/(-2565). Which is smaller: n or 1/3? 1/3 Let x = -10400653/2380270 - 2/51745. Which is smaller: -4 or x? x Let x(v) = -v - 2. Suppose n + 26 = 4*n - u, 3*u - 3 = 0. Suppose 4*b - n = -3*p - 27, -2*b = -3*p. Let a be x(b). Are a and -5 equal? False Let f be (-8)/60*9 - 716/(-555). Do 1 and f have different values? True Let g(z) = -z**2 - 33*z - 76. Let a be g(-27). Suppose -78*i = -a*i + 8. Which is smaller: i or 1.57? i Suppose 0 = -5*o - w + 498, -5*o + 290 = 3*w - 214. Let n be -1*982/(-10) + 2. Let t = o - n. Which is greater: t or 0? 0 Let i = -148 - -150. Suppose -4*k = 2*d, -4*k - 15 = 5*d + k. Let z be -1*2/4*d. Is z != i? True Suppose 2*u = 6*u. Let b be (15/6)/(-5)*22/1. Let s be (-2950)/(-110) + (-2)/b. Do s and u have different values? True Let g = -2874022591/3861972 - -9/143036. Let m = 744 + g. Which is smaller: 2/5 or m? m Let k be 1/2 + (-10)/16. Let j be 486/(-15) + 105/(-70)*(-2)/(-5). Which is greater: j or k? k Let p = 5.833 - 5.8. Let z = -47287 + 47289. Which is greater: z or p? z Suppose 22807 = 100*z - 105*z - 4*d, 0 = -5*z - 5*d - 22800. Do -4566 and z have the same value? False Let z be (-10187223)/(-3855) - 7/(-5). Which is greater: z or 2645? 2645 Let l = 1594/88447 - 5/241. Let b = 26796/1835 + l. Which is smaller: 0 or b? 0 Let z = -1168/13663 + 9/1051. Which is bigger: z or -20? z Let g(j) = -126*j**2 - 1009*j - 53. Let m be g(-8). Let r = -765/7 + 109. Is r < m? False Let p(n) = n**3 - 17*n**2 + 44*n - 32. Let h be p(14). Let y be -7 - 8345/(-2781) - 16/h. Is 1 != y? True Let k(j) = -1240*j + 25. Let q be k(-5). Let i be 14/(-10) + 8765/q. Is i less than or equal to 1? True Let w = -99417/3524 - 34/881. Are -28 and w equal? False Let t = 189 + -191. Let b be ((-65)/(-10) - 8)/12. Which is smaller: b or t? t Let k be (6/(-3) - -2)*7/(-14). Is -228/191 != k? True Suppose 3*r = -6 - 9, 0 = -y - r + 19. Suppose y*u + 16 = 16*u. Let h = -9 + 5. Which is smaller: u or h? h Let w = 1462867117/2624375 + -9/201875. Let o = 2944/5 - w. Is o at least 30? True Let p = 23 + -23.008. Let s = -4.008 - p. Let d = s - -3.7. Does -0.07 = d? False Let b = 42 - 21. Suppose -b = -26*z + 19*z. Let s be 0 - (-3 + z + 2/4). Is s > -1? True Let q be (4652/8*1)/((-150)/(-1175)). Let u = q - 4552. Which is smaller: 4 or u? u Let z = -2.95 - -3.1. Let g = z + -0.19. Let m = 7.04 + g. Is -2/9 greater than or equal to m? False Suppose -4*z = 4*v - 4, 4*v - 6 = v. Suppose 11*g - 2600 = -2644. Let b(q) = -13*q**2 - 55*q - 11. Let x be b(g). Do x and z have the same value? False Let v = 1.14 - 1.018. Let f = v + -0.222. Which is bigger: 84 or f? 84 Let q = 0.5126 - 0.2453. Which is smaller: 0 or q? 0 Suppose -12 = 4*i - i - 5*w, 3*i + w = 6. Let j(u) = 329*u - 1. Let m be j(-1). Let r = m + 4954/15. Which is bigger: i or r? i Let f be 534/42 - ((-32)/14 + 2). Suppose -3*j = 4*z + 24, -9*j = -z - 5*j + f. Let o = -13 - -18. Is o smaller than z? False Let y be (-2)/(-7) - (-10595)/35. Let v = y + -10303/34. Suppose 4*i = -5 + 9. Which is greater: i or v? i Let y = -0.4 - 1.6. Suppose 3*g + 5 = 4*g + 2*l, 10 = 4*g - 2*l. Suppose -g*q = -q + w, -5*w + 10 = 0. Which is smaller: q or y? y Let a = -11/125 + 1881/5750. Do -2/3 and a have different values? True Let w be 8 - (2/(-2))/1. Let s be 1295/(-45) - 1 - (-2)/(-9). Let p be ((-16)/12)/(-3 - 86/s). Is w at most as big as p? True Suppose 25*b + 5*y - 66 = 23*b, 15*b + 2*y = 282. Let k(t) = t**2 + t - 3. Let w be k(-4). Is w greater than or equal to b? False Let b be (-1)/2 + 286/(-12). Let n = b - -428/15. Let r be (-1210)/(-968) + (-15)/(-4). Which is greater: r or n? r Suppose 272 = 16*p + 18*p. Suppose 0 = p*d + 35*d - 43. Which is smaller: d or -201? -201 Suppose 16*x - 43286 = -165158. Is x at least -7617? True Suppose -4*f = 4 + 236. Let b be -1 + 21/15 - (-274)/f. Let i = 57/14 + b. Is i at most as big as -1? False Let v be (-100)/56*(-1 + 2 - -3). Which is smaller: v or 6? v Let x = 827834/72885 + 142/1695. Which is greater: 11 or x? x Suppose 3*i + 41 = -103. Let m be i/(-9)*2*(4 - 7). Which is smaller: -34 or m? -34 Let v be -5 + 13698/(-81) + 3 + 0. Let r = 171 + v. Is -0.27 >= r? False Let f(o) = 631*o**2 - 321*o - 1907. Let w be f(-6). Is 22735 smaller than w? False Let s be (6/840)/(1/(-19)). Let x = s - 4/35. Suppose 0*l - 3*l - 9 = 3*n, 0 = -4*l - 5*n - 16. Is x at least l? False Let v(w) = -10*w + 80. Let r be v(7). Suppose 0*m - m - 15 = -3*g, -2*g + r = 0. Which is bigger: m or -143? m Let d be 9328/(-1272) + (-10)/6. Which is bigger: d or -171/17? d Let x(l) = 16*l - 459. Let t be x(29). Suppose -5*n + j = -j + 18, -2*j = -2*n - 6. Which is greater: t or n? t Let f = 449151037326137/12330982627040 - -33/1000891447. Let u = -7/1760 - f. Which is greater: u or -36? -36 Suppose -19*j = 116657 + 72374. Are j and -9947 equal? False Let b = 866 - 865. Which is bigger: 0.1774 or b? b Suppose 96*t - 41898 - 569046 = 0. Which is bigger: t or 12725/2? t Let d = -35 - -35.196. Let v = -0.21 + d. Which is greater: -1 or v? v Let n(m) = -5*m - 4. Let x be n(-2). Suppose -4*f + x*f - 12 = 0. Let z be (-10)/f - 16/(-24). Is 5/3 >= z? True Let b be 4/(-18)*1 + 8/36. Let w = 233101/139 - 1677. Does w = b? False Let k = 77514 + -77513.41. Let l be 2 - 8/6*2. Which is bigger: l or k? k Suppose -617 = 54*d + 191*d + 118. Which is smaller: d or -97/29? -97/29 Let x(q) = -407*q + 316. Let g be x(1). Is g <= -1534/17? True Let x = 792.7765 - -0.2235. Which is smaller: x or -0.2? -0.2 Let f = 3750 + -3063. Which is bigger: f or 682? f Let h = -50.5 + -13.5. Let q = h + 54. Let c = q + 9. Is c < 2/7? True Let r be (-566)/8*(10 - (4 - -2)). Let o(w) = 21*w + 137. Let t be o(-20). Is r >= t? True Let j = 152 - 153. Let x be -1*(0 - -1)*-30. Let c be j/x*25/(-40). Is 1 < c? False Let x = -5252 - -5251.6. Suppose -o + 4*o = 2*a - 90, 234 = 5*a - 3*o. Which is smaller: a or x? x Suppose 3*u = 4*z + 12, -203*z + 6 = -205*z - u. Which is smaller: z or 292.8? z Suppose 556*u + 430 = -126. Which is smaller: u or -6790? -6790 Let m = -6259 + 4680. Which is bigger: m or -2? -2 Let p(k) = -k**3 - 12*k**2 - 13*k - 6. Let r be p(-11). Let w = 2681 - 2665. Let g = r - w. Which is bigger: g or -2/7? g Let d be ((-2504)/939)/(2/(-2238)). Is 2984 less than d? False Let h = -18741 + 18748. Let n = -32 + -15. Which is smaller: h or n? n Let k = 12 - 7. Suppose -k*o - 3*w + 2 = 0, o + 2 - 1 = -2*w. Which is smaller: o or -3/80? -3/80 Let o = 0.0737 + -0.4767. Let y = -0.353 - o. Which is bigger: 1/4 or y? 1/4 Let l be (-2)/1*(-17543)/(-106). Let g = -139 - l. Is 192 at most g? True Suppose -37*s + 8307 + 55521 = -10*s. Is 2365 at most as big as s? False Suppose -126 = 7*m - 0*m. Let g be (-90)/(-48) + -2 + (-245)/14. Which is smaller: m or g? m Suppose -5*u + 2*j + 8 = -5, -3*j - 7 = 5*u. Suppose -5*x = -15, 4*y + 961 - 7690 = 5*x. Let a = -89352/53 + y. Is a smaller than u? True Let v = -116.54 + 106.54. Is v bigger than 3/326? False Let r = 0.165 + -2.505. Let
{ "pile_set_name": "DM Mathematics" }
3*o*(o + 1)**2 Let f = -1007/4 + 270. Let l = 665/36 - f. Factor 4/9*c - l - 2/9*c**2. -2*(c - 1)**2/9 Let m(a) = 9*a**2 + 25*a + 5. Let q = -31 - -30. Let b(x) = x**2 + x + 1. Let y(w) = q*m(w) + 5*b(w). Let y(t) = 0. What is t? -5, 0 Let y(h) = -h**3 - 9*h**2 - 11*h - 7. Let m be y(-8). Determine l, given that -18*l**3 - 3*l - 45*l**5 + 5*l**2 - 12*l**4 + 42*l**5 - m*l**2 = 0. -1, 0 Suppose 5*b + 30 = 5*u - 35, -4*u - 2*b + 52 = 0. Let r(i) = -i**2 + 15*i - 19. Let l be r(u). Factor -l*o**4 - o**2 + 3*o**5 + 2*o + 0*o**2 - 5*o**3 + 8*o**4. o*(o - 1)*(o + 1)**2*(3*o - 2) Suppose -p = 2*y - 12, -2*y - 16*p = -18*p. Let i(u) be the third derivative of 0 + 0*u**3 - 4*u**2 + 1/160*u**5 + 0*u + 3/64*u**y. Suppose i(a) = 0. What is a? -3, 0 Let r(b) = -6*b**2 - b - 3. Let x be r(3). Let o be (-4)/(-1)*2/x*-3. Suppose 4/5 + o*p**2 + 6/5*p = 0. Calculate p. -2, -1 Let h be (-1)/(-4) - (-1)/12. Let m(z) be the second derivative of 0*z**2 + 4*z + 0*z**4 + 0 + 1/10*z**5 - h*z**3. Find a, given that m(a) = 0. -1, 0, 1 Let g(m) be the second derivative of 3/4*m**5 + 3*m + 15*m**2 + 0 - 5/3*m**4 - 85/6*m**3. Solve g(u) = 0. -2, 1/3, 3 Suppose -296 = -4*f - 4. Let x = -71 + f. Suppose 10/3*h + 0 + 25/3*h**4 + 5/3*h**5 + 35/3*h**x + 15*h**3 = 0. Calculate h. -2, -1, 0 Let h(d) = 10*d + 62. Let r be h(-6). Let g(f) be the first derivative of f**3 + 6 + 3/4*f**4 - 3/5*f**5 - 1/2*f**6 + 0*f**r + 0*f. Factor g(y). -3*y**2*(y - 1)*(y + 1)**2 Let s = 3 + -1. Let v be (((-192)/2)/(-4))/2. Factor -s*u**3 + v*u**2 - 2*u**3 - 4*u**4 + 0*u**4 + 30*u + 8 - 10*u. -4*(u - 2)*(u + 1)**3 Factor -2744/5*k + 1/5*k**4 + 588/5*k**2 + 0 - 42/5*k**3. k*(k - 14)**3/5 Let z(r) be the third derivative of -5*r**6/3 - 22*r**5/3 - 41*r**4/12 - 2*r**3/3 + 7*r**2 + 2. Determine b so that z(b) = 0. -2, -1/10 Let z(y) be the second derivative of -y**5/4 + 25*y**4/6 - 115*y**3/6 + 35*y**2 + 202*y. Solve z(n) = 0. 1, 2, 7 Let j be 0 - -1 - (17 - 19). Factor j*a**2 + a - a**2 - a**2. a*(a + 1) Factor 68/3*s**2 - 1/3*s**3 - 68/3 + 1/3*s. -(s - 68)*(s - 1)*(s + 1)/3 Let i(g) be the third derivative of -2*g**2 + 2/75*g**5 + 0*g**3 + 0*g**4 + 0*g + 1/150*g**6 + 0 - 2/525*g**7. Factor i(c). -4*c**2*(c - 2)*(c + 1)/5 Suppose -8 = 4*i + 5*p, 4*i = -2*p + 10 - 6. Let s(t) be the first derivative of 12*t + 1/4*t**i + 3*t**2 - 8. Find j such that s(j) = 0. -4 Let w(n) be the second derivative of -n**6/24 - n**5/6 + 2*n**2 + 35*n. Let t(j) be the first derivative of w(j). Let t(y) = 0. What is y? -2, 0 Let t be ((-2)/(-4))/(6/36). Let u(z) = z**2 + 4*z + 5. Let g be u(-3). Let -1/4*h**g - 1/4*h**t + 0 + 0*h = 0. Calculate h. -1, 0 Let p(y) be the third derivative of y**8/168 - 8*y**7/105 - 3*y**6/20 - 776*y**2. Suppose p(d) = 0. Calculate d. -1, 0, 9 Let j(l) = 5*l**2 + 158 - 28*l - 170 - 23*l**2. Let o(w) = 37*w**2 + 55*w + 25. Let t(v) = 9*j(v) + 4*o(v). Find u such that t(u) = 0. -2, -2/7 Let b be -247*(-1)/(-350) - (-1)/2. Let n = 2/25 - b. Let 2/7*p**2 + 0 + n*p = 0. What is p? -1, 0 Let p(r) be the first derivative of -r**6/24 + r**5/12 + 5*r**4/12 - 5*r**2/2 - 8. Let z(a) be the second derivative of p(a). Solve z(v) = 0 for v. -1, 0, 2 Let i(n) be the first derivative of -11*n**3/6 - 37*n**2/4 - 6*n - 454. Factor i(c). -(c + 3)*(11*c + 4)/2 Suppose 4*u - 76 = -0*u. Factor 24*m**2 + 12*m - u*m**2 + 20*m**3 + 4*m**4 + 23*m**2. 4*m*(m + 1)**2*(m + 3) Let g(y) be the first derivative of y**6/12 + y**5/2 + y**4 + 2*y**3/3 + 48. Suppose g(x) = 0. What is x? -2, -1, 0 Let f(p) be the second derivative of p**8/2520 + p**7/1260 - p**6/270 - 29*p**3/6 - 22*p. Let x(r) be the second derivative of f(r). Factor x(q). 2*q**2*(q - 1)*(q + 2)/3 Let w(x) be the second derivative of x**4/12 - 64*x**3/3 - 129*x**2/2 - 164*x - 1. Find q such that w(q) = 0. -1, 129 Let o be (2/1200)/(2 + (-3)/2). Let z(b) be the third derivative of 0 + 0*b + o*b**5 + 1/30*b**3 - 3*b**2 + 1/60*b**4. Suppose z(w) = 0. Calculate w. -1 Let t(s) be the second derivative of -s**4/3 + 12*s**3 + 126*s**2 + 6*s - 42. What is b in t(b) = 0? -3, 21 Let m(p) be the first derivative of p**6/360 + p**5/60 - 5*p**3/3 + 1. Let j(l) be the third derivative of m(l). Factor j(z). z*(z + 2) Let v(d) be the first derivative of -d**6/60 - 2*d**5/15 - d**4/3 + d**3 + 7. Let o(b) be the third derivative of v(b). Factor o(z). -2*(z + 2)*(3*z + 2) Let m(s) = s - 2. Let t be m(-10). Let h(y) = -y - 8. Let i be h(t). Factor -4*p**5 + 5*p**3 + 2*p**i + 5*p**3 + 2*p**4 - 6*p**3 - 4*p**2. -4*p**2*(p - 1)**2*(p + 1) Suppose 5*t = -y - 28, 0 = 39*y - 37*y - 4*t - 28. Factor -64/3 - 4/3*l**y - 32/3*l. -4*(l + 4)**2/3 Let m = -2 - -14. Let w = m + -10. Factor -x**3 + 2*x**4 - 2*x**w + x**5 + 7*x - 7*x. x**2*(x - 1)*(x + 1)*(x + 2) Let d(v) = -v**3 + v**2 - 3*v - 2. Let y be d(-2). Factor j - 77*j**3 + y*j**2 - 11*j + 73*j**3 - 6*j. -4*j*(j - 2)**2 Let g(b) be the second derivative of 0*b**2 + 0*b**3 - 9*b + 0*b**6 - 3/5*b**5 + 0 - 2/3*b**4 + 2/21*b**7. Factor g(l). 4*l**2*(l - 2)*(l + 1)**2 Let r(h) be the second derivative of -3*h**5/100 + 3*h**4/2 - 30*h**3 + 300*h**2 - 18*h. What is a in r(a) = 0? 10 Let u(a) be the first derivative of -a**7/147 - 8*a**6/105 - 8*a**5/35 + 7*a - 3. Let y(k) be the first derivative of u(k). Factor y(w). -2*w**3*(w + 4)**2/7 Let m(a) be the first derivative of 1/3*a**3 + a - 1/12*a**6 - 21 - 1/2*a**4 + 5/4*a**2 - 2/5*a**5. Suppose m(u) = 0. Calculate u. -2, -1, 1 Find i, given that -181/2*i**2 + 441/4 + 357/2*i + 17/4*i**4 - 11*i**3 + 1/2*i**5 = 0. -7, -1/2, 3 Let m(o) be the second derivative of o**9/5040 + o**8/448 + o**7/120 + o**6/80 + 3*o**4/4 + 23*o. Let a(y) be the third derivative of m(y). Factor a(z). 3*z*(z + 1)**2*(z + 3) Factor -1/5*a - 1/5*a**2 + 12/5. -(a - 3)*(a + 4)/5 Solve -5*x**3 - 6*x**4 + x**5 - 6*x**4 - 5*x**4 + 12*x**3 + 9*x**4 = 0 for x. 0, 1, 7 What is y in 26/3*y**2 + 0*y**3 - 3 - 3*y**4 - 2*y - 2/3*y**5 = 0? -3, -1/2, 1 Let x = 10/13 + 22/39. Let w = 112 + -109. What is h in 10/3*h - 4/3 + x*h**2 - 10/3*h**w = 0? -1, 2/5, 1 Let k be -3 - (140/(-12) + 11)*7. Let w be 1/(-4) - (-18)/8. Factor 0 + k*p**3 + 2*p + 17/3*p**w. p*(p + 3)*(5*p + 2)/3 Factor 4*n**2 + 280/11*n + 400/11 + 2/11*n**3. 2*(n + 2)*(n + 10)**2/11 Let u(o) = o**5 + o**4 + 3*o**3 + 1. Let n(q) = -8*q**5 - 6*q**4 - 14*q**3 - 2*q - 6. Let g(r) = n(r) + 6*u(r). Factor g(z). -2*z*(z - 1)**2*(z + 1)**2 Let p(w) be the first derivative of -17 + 2/3*w**3 + 2*w - 2*w**2. Determine j, given that p(j) = 0. 1 Let k(w) = -w**3 - 2*w**2 + 11*w + 20. Let u be k(-3). Let z be u/(-2)*4/20. Factor 0 - 2*o**2 + 4/5*o - z*o**4 + 8/5*o**3. -2*o*(o - 2)*(o - 1)**2/5 Factor -1/6*k**2 + 0 + 5*k. -k*(k - 30)/6 Factor -4/3*l + 7/3*l**2 - 1/3*l**3 - 4. -(l - 6)*(l - 2)*(l + 1)/3 Let h = 157 + -121. Find g, given that 47*g**2 + g**4 - h*g**3 + g**4 + 144*g + 48 - 17*g**4 + g**2 = 0. -2, -2/5, 2 Let f be 2 + -2 - 11/((-11)/6). Let j(h) be the first derivative of 2/13*h**2 - 2/39*h**3 - 2/13*h - f. Factor j(v). -2*(v - 1)**2/13 Let t(f) = -3*f + 0 + 1 - f - 2*f**2 + 0*f**2. Let v(l) = -3*l**2 - 6*l + 2. Let g(c) = 7*t(c) - 5*v(c). Let g(r) = 0. Calculate r. -3, 1 Let z be ((-1)/(-3))/(5/60). Suppose 0 = 2*l + 3*h + 3, -3*l - h + 5*h = -z. Solve 5*a + l + 0*a + 4*a**2 + 2 + a**3 = 0 for a. -2, -1 Let m be (7/(-28)*0)/4. Factor 2/9*i**4 + 0*i**3 + 0 + m*i + 0*i**2. 2*i**4/9 Let o be 33/44 + 2/((-16)/(-202)). Let l = -181/7 + o. Let -1/7*w**3 + l*w + 0*w**2 + 0 = 0. Calculate w. -1, 0, 1 Let t(j) be the second derivative of j**6/90 + 3*j**5/10 + 13*j**3/6 - 27*j. Let v(l) be the second derivative of t(l). Suppose v(f) = 0. Calculate f. -9, 0 Find q, given that 38/5*q + 2/5*q**2 + 36/5 = 0. -18, -1 Let p(a) be the second derivative of 21*a + 9/40*a**5 + 0*a**2 + 7/45*a**6 - 1/24*a**4 + 0 - 1/18*a**3. Find j such that p(j) = 0. -1, -1/4, 0, 2/7 Suppose 0 = -4*n + 4, 4*c + 1 = n - 0. Let h(v) be the first derivative of -1/15*v**3 + c*v**2 + 0*v + 1/20*v**4 + 2/25*v**5 - 4. Solve h(z) = 0 for z. -1, 0, 1/2 Let j(t) be the first derivative of 11 + 1/9*t**6 - 4/27*t**3 + 0*t - 1/6*t**4 + 0*t**2 + 4/45*t**5. What is s in j(s) = 0? -1, -2/3, 0, 1 Solve 28 - 33*j**2 + 3*j**2 + 108*j - 1570*j**3 + 1572*j**3 - 108 = 0. 1, 4, 10 Let t(h) be the second derivative of 4/19*h**2 + 11*h
{ "pile_set_name": "DM Mathematics" }