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v). Give h(u(o)). 92*o**4 Let r(p) be the third derivative of p**4/12 + 4*p**3/3 - 7*p**2 + 3. Let x(l) = 5*l. Give r(x(a)). 10*a + 8 Let q(r) = 12*r. Let u = -90 - -93. Let l(w) = -11*w**2 + u*w**2 + 5*w**2 + w**2. Calculate l(q(v)). -288*v**2 Let g(p) = -42*p. Let x(c) = -2678*c**2. What is x(g(v))? -4723992*v**2 Let q(n) be the third derivative of n**5/10 + n**2. Let f(b) be the third derivative of b**4/24 - 1257*b**2. Give f(q(t)). 6*t**2 Let w(g) = 146*g**2. Let a(d) = -3*d - 86. Calculate a(w(q)). -438*q**2 - 86 Let v(s) = 2*s**2. Let a(m) = 4*m - 48. Let j be a(13). Let c(f) be the second derivative of 0 - 1/2*f**3 - j*f + 0*f**2. Determine v(c(h)). 18*h**2 Let a(b) be the second derivative of b**4/4 - 17*b**3/2 - 92*b + 1. Let v(d) = -2*d. Give v(a(s)). -6*s**2 + 102*s Let i(d) = 5*d. Let a(t) = -27*t**2 - 5*t - 5. Let w(o) = 688*o**2 + 128*o + 128. Let m(q) = -128*a(q) - 5*w(q). Give m(i(b)). 400*b**2 Let u(d) = 3306*d. Let z(q) = -38*q. What is z(u(y))? -125628*y Let f(v) = -8*v**2. Let s(u) = -183*u**2 + 7*u - 7. Let m(h) = -123*h**2 + 5*h - 5. Let g(a) = -7*m(a) + 5*s(a). Give g(f(c)). -3456*c**4 Let x(n) = -8*n**2. Let y = -164 + 2794. Let g(r) = -3*r - 2630 + y. Determine g(x(b)). 24*b**2 Let l(i) = -11*i**2. Let n(r) = 5*r + 80. Calculate l(n(z)). -275*z**2 - 8800*z - 70400 Let r(z) be the second derivative of -44*z**3 - 2*z - 41. Let d(y) = -y**2. Determine r(d(k)). 264*k**2 Let n(o) be the third derivative of o**5/60 + 9*o**2. Let v(x) = 77*x**2 + 5. Let h(a) = 39*a**2 + 2. Let f(u) = -5*h(u) + 2*v(u). Calculate n(f(i)). 1681*i**4 Let p(z) = 34*z**2. Let b(x) = 397*x**2. Give b(p(g)). 458932*g**4 Let g(c) = 4*c + 3. Let o(k) = 5*k + 2. Let b(q) = 2*g(q) - 3*o(q). Let y(l) be the second derivative of -l**3/2 - 2*l - 767. Give b(y(i)). 21*i Let i(u) = -3112*u**2 - 2*u - 8. Let o(w) = 2*w. Give i(o(r)). -12448*r**2 - 4*r - 8 Let s(r) be the third derivative of -3*r**5/20 + r**2 - 16*r. Let k(o) = -8*o. Calculate s(k(i)). -576*i**2 Let x(p) be the third derivative of -p**4/24 - p**2. Let l(f) be the second derivative of -13*f**4/4 - 438*f. Give l(x(i)). -39*i**2 Let j(h) = 3*h**2. Let x(z) be the third derivative of -12*z**2 - 7/24*z**4 + 0 + 0*z**3 + 0*z. Determine j(x(s)). 147*s**2 Let a(o) = -8*o. Let n(r) = -10*r + 9*r + 2*r. Let b(k) = -a(k) - 10*n(k). Let v(x) = 6*x**2. Calculate b(v(m)). -12*m**2 Let w(c) = 2*c + 2*c - 7*c - 4*c. Let m(t) be the first derivative of -t**4/6 + 3*t - 1. Let u(k) be the first derivative of m(k). Determine w(u(h)). 14*h**2 Let l(c) = 4*c**2. Let n(f) be the first derivative of 6 + 1/24*f**4 + 0*f**3 + 0*f + 5/2*f**2. Let t(z) be the second derivative of n(z). Determine l(t(g)). 4*g**2 Let b(r) = -1 + 3 - 2 + 2*r. Let c(f) = -73*f - 4. Let x(a) = -73*a - 6. Let t(l) = -3*c(l) + 2*x(l). Calculate t(b(u)). 146*u Let d(m) = -2*m + 1451. Let q(t) = 2*t**2. Calculate q(d(h)). 8*h**2 - 11608*h + 4210802 Let k(o) = 2*o. Let s(y) = -97*y + 256*y - 365*y - 222*y - 408*y. Give s(k(l)). -1672*l Let p(y) = -3*y. Let t be (126/(-12) + 6/(-4))/(-2). Let n(i) = 0*i + t*i + 5*i. What is p(n(x))? -33*x Let k(x) = x + 1. Let o(s) = 0 + 0 + 4 - 2. Let p(b) = 2*k(b) - o(b). Let i(m) = 16*m. Give p(i(a)). 32*a Let l = 0 + 2. Let o(q) = -4*q**2 - 3*q**2 + 4*q**l. Let b(m) = 10*m - 16. Let r(t) = -t + 2. Let w(k) = b(k) + 8*r(k). What is w(o(v))? -6*v**2 Let p(i) = -4*i**2. Let n(w) = 580177*w**2. Calculate p(n(a)). -1346421405316*a**4 Let z(p) = p**2 + p - 1. Let y(i) = -7*i**2 - 3*i + 3. Let k(w) = y(w) + 3*z(w). Let h(a) = -a + 30. Give k(h(s)). -4*s**2 + 240*s - 3600 Let i(a) be the third derivative of a**4/24 + 137*a**2. Let v(k) = 16*k + 3. Determine v(i(p)). 16*p + 3 Let u(q) = -15*q**2. Let v(b) = -10*b - 16. Let t(j) be the second derivative of j**3/3 + 3*j**2/2 + 13*j. Let x(y) = 16*t(y) + 3*v(y). Determine x(u(m)). -30*m**2 Suppose 0 = 5*j - 2*j + 3*a - 9, -4*j - a + 12 = 0. Let x(c) = -j*c - c - c. Let k(m) = -2*m - 2*m + 3*m + 3*m. Determine k(x(d)). -10*d Let x(u) = u - 205*u**2 - 7*u + 202*u**2. Let b(d) = 9*d. Give x(b(f)). -243*f**2 - 54*f Let v(f) = -2*f**2 + 33*f - 24. Let i(g) = -120*g. Calculate i(v(u)). 240*u**2 - 3960*u + 2880 Let h(y) = 2*y. Let d(p) = 7*p + 59. Let l be d(-8). Suppose 4*w + 4*z - 28 = 0, -4*w + z + 4 = -z. Let f(v) = l - 2*v - w + 5*v. Calculate f(h(r)). 6*r Let m(k) = 127*k + 2*k**2 - 4*k + 29*k. Let r(o) = 2*o**2. Give m(r(i)). 8*i**4 + 304*i**2 Let v(m) = 36*m. Let q(c) be the third derivative of c**4/4 + 297*c**2. Calculate v(q(l)). 216*l Let i(f) be the third derivative of f**5/15 - 35*f**2 - 1. Let x(w) = 206*w**2. What is i(x(t))? 169744*t**4 Let l(t) = -35*t. Let m(p) = 10193*p. Determine l(m(h)). -356755*h Let u(h) be the third derivative of -1/8*h**4 + 0 - 8*h**2 + 0*h**3 + 0*h. Let b(n) = 5*n - 5*n + 3*n. Give u(b(k)). -9*k Let g(x) = x**2. Let i(u) = -14*u**2 - 3*u + 3. Let o = 206 - 304. Let a(h) = 462*h**2 + 98*h - 98. Let k(q) = o*i(q) - 3*a(q). Calculate k(g(z)). -14*z**4 Let d(q) be the second derivative of 2/3*q**3 + 0*q**2 + 2*q + 0. Let c(x) be the third derivative of -x**5/30 - x**2 - 34. Calculate d(c(w)). -8*w**2 Let z(d) = -17*d + 431. Let q(p) = -3*p**2. What is z(q(k))? 51*k**2 + 431 Let u(r) = -r**2. Let f(s) = 19*s + 445. Determine u(f(g)). -361*g**2 - 16910*g - 198025 Let c(s) = -2*s. Let o(b) = 1202201*b. Determine c(o(d)). -2404402*d Let t(f) = 15*f**2. Let c(q) = -3*q + 4. Suppose -3*k + 3*o - 15 = 2*o, k - 5 = -3*o. Let r(w) = -4*w + 5. Let x(u) = k*r(u) + 5*c(u). Calculate x(t(z)). 15*z**2 Let m(c) be the second derivative of -2*c**3/3 - 2*c. Let y(p) be the third derivative of -1/8*p**4 + 0 + 0*p**3 + 3*p**2 + 0*p. Calculate m(y(n)). 12*n Let j(x) = -3*x. Let w(m) = -13612*m + 40. Calculate w(j(v)). 40836*v + 40 Let d(c) = -5*c. Let g(j) = 8*j**2 + 40*j. Determine g(d(o)). 200*o**2 - 200*o Let w(r) = -37*r**2 - 6*r - 12. Let i(q) = 37*q**2 + 4*q + 8. Let f(y) = -3*i(y) - 2*w(y). Let d(v) = 16*v. Determine f(d(s)). -9472*s**2 Let t(z) be the third derivative of -1/15*z**5 + 0*z**4 + 0*z + 0*z**3 - 15*z**2 + 0. Let a(u) = -16*u**2. What is a(t(j))? -256*j**4 Let a(v) = -3*v. Let z(m) be the first derivative of 8*m**2 + 8*m**2 + 1 - 18*m**2. Determine a(z(k)). 12*k Let n(d) = 3*d**2. Let c(g) = -577707*g**2. Calculate n(c(s)). 1001236133547*s**4 Let d(q) = -3847*q + 3. Let z(j) = -80*j. What is z(d(b))? 307760*b - 240 Let t(j) = j**2. Let d(a) = -1572907*a. Determine t(d(m)). 2474036430649*m**2 Let i(s) = 7*s - 5. Let k(j) be the second derivative of -j**4/6 + 17*j. Determine i(k(z)). -14*z**2 - 5 Let b(h) = 2*h**2 - 166*h. Let a(t) = 132*t + 131*t - 265*t. Determine a(b(i)). -4*i**2 + 332*i Let h(t) = 8*t**2. Let d(u) = 990*u**2. Give d(h(x)). 63360*x**4 Let z(m) = -2*m**2. Let o(i) = -1434*i**2 + 2749*i**2 - 1457*i**2. What is o(z(g))? -568*g**4 Let p(o) = 698*o**2 - 14*o + 5. Let l(v) = -4*v. What is l(p(s))? -2792*s**2 + 56*s - 20 Let v(y) be the first derivative of 0*y**2 - 1/3*y**3 + 0*y + 23. Let c(n) = -6*n. What is c(v(t))? 6*t**2 Let b(q) = 2*q - 2. Let v(o) = 21*o - 22. Let u(s) = 44*b(s) - 4*v(s). Let f(r) = -13*r**2. Determine u(f(y)). -52*y**2 Let x(h) = 208*h. Let j(m) = 4682*m. Give x(j(y)). 973856*y Let r(m) = 4*m. Let q(v) be the third derivative of -v**7/1260 + 11*v**4/12 - 24*v**2. Let o(f) be the second derivative of q(f). Determine o(r(y)). -32*y**2 Let f(c) be the second derivative of -7*c**4/4 - 96*c. Let j(z) = -z. Determine j(f(u)). 21*u**2 Let p(v) be the second derivative of -5*v**3/6 - 3*v. Let o(m) be the second derivative of -m**3/3 + 36*m. Determine p(o(a)). 10*a Let g(n) = -5*n - 12. Let a be g(-5). Let w(f) = -5*f**2 + 13 - a. Let c(r) = -5*r**2. Give w(c(l)). -125*l**4 Let f = 4 + 3. Suppose -4*q - 35 = -5*l, -q - 2*q = -5*l + 35. Let m(t) = -l - t - t + f. Let o(r) = -5*r. Determine m(o(j)). 10*j Let b(x) = -301*x + 17*x**2 - 8*x**2 - 229*x + 530*x. Let z(o) be the third derivative of -o**4/8 + o**2. Calculate z(b(y)). -27*y**2 Let b(t) = 61*t + 38*t - 82*t. Let k(h) be the first derivative of -3*h**2/2 + 14. Calculate k(b(m)). -51*m Let n(l) = 20*l**2. Let o(b) = b**2 + 8*b + 14. Let c be o(-6). Let d(x) = c*x - x - 4*x + x. What is d(n(z))? -40*z**2 Let d(a) = 2*a. Let z(l) be the second derivative of l*
{ "pile_set_name": "DM Mathematics" }
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6:40 PM Ho
{ "pile_set_name": "DM Mathematics" }
-q*r + 25*r = 0. Solve -4*p + 5*x = -2*p + 11, r = -p - 2*x + 8 for p. 2 Suppose 4*v - 8 = -b, 2*v + 18 + 20 = 3*b. Suppose w + 2 = -2, -92 = -3*i + 2*w. Suppose i*u = 34*u - 18. Solve 0 = -3*t + 5*x - u + b, t + 14 = -4*x for t. -2 Let x be 63/35 + 7/35. Solve 4*n = -3*g + 8, -x*n + 4 = 3*g + 2*g for n. 2 Suppose 87 = -6*n + 117. Solve r + n*d - 2 = -6, -4*d - 4 = 0 for r. 1 Let y(a) = a + 25. Let b be y(-18). Let j = 7 - 2. Solve -j*g = -4*z + 3, 0 = z + g - 1 + b for z. -3 Let t = 0 - -6. Let u(b) be the first derivative of -b**4/4 + 5*b**3/3 + 3*b**2 + 3*b + 8. Let c be u(t). Solve y - 3 = -c*l - 1, y - 2 = 5*l for y. 2 Let f be 7 + ((-10)/2 - -5). Suppose -3*d + 5*v = -85, -2*v - 20 - 10 = -d. Solve 2*t = -5*x + d, x - 3*t + f + 6 = 0 for x. 2 Let m = 6 - 3. Let j be (22/(-4))/((-4)/8). Let y = j + -10. Solve 0 = 5*f - 10, 4*z - y = -5*f - m for z. -3 Let o be (1 + 39)*3/(-6). Let m = o - -37. Suppose -3*b + 26 = 4*l, l - m = -5*b - 2. Solve 0 = b*i + 3*u - 13, -5*i = 3*u + 2*u - 25 for i. 2 Let l(z) = 24*z + 61. Let a be l(-2). Solve -3*f - a = -2*x, 0 = -4*x + 3*f - 0*f + 17 for x. 2 Let d(q) = -q**3 + 3*q**2 + 2*q - 1. Let x be d(3). Let z = 9 + -5. Solve -x*b = -4*k - 11, -z*b - 3*k = -b - 12 for b. 3 Let i be (-374)/(-34) + -8 + -1. Solve i*d - 2*h = 20, -2*d + 12*h - 9*h = -25 for d. 5 Let n be (3/1 - -132)*-1. Let c be n/(-9) + (-4)/(-2). Let m = 21 - c. Solve -2*r + 12 = -j, m*r + j - 14 = -2*j for r. 5 Suppose 3*k = -4*i + 13, 5 = 3*k - i - 3. Solve -13*s - 15 = k*m - 17*s, 0 = 5*m + s + 25 for m. -5 Let z be (6/(-4))/(3/(-8)). Suppose 0 = -3*q - 3*a + 6, q = -q + a + 16. Let h = 1735 - 1732. Solve -y - 2 = -z*c, -h*c - 11 = -q*c - 4*y for c. 1 Let b(j) = -4*j + 3. Let t be b(2). Let n = t - -8. Solve -n*v - 3 = -g + 5, -4 = -g - v for g. 5 Let b be 5 - 4 - (2/(-6))/((-12)/(-72)). Let o be (-6)/(-1 + 1 - 2). Solve -o*v - 9 = -2*f, -14 = -2*v + 7*v - b*f for v. -1 Suppose -4*n - 2*q + 6 = 0, -2*n + 2 = n + 2*q. Solve 5*c + k + n*k = -20, -2*k = -4*c - 10 for c. -3 Suppose 6*s - 4 = 2*s. Let w be -3*(s - (-16)/(-12)). Let c be (19 - -6) + -3 + w. Solve -c = 4*k + 3*m, -2*k - 6 = -4*m - 0 for k. -5 Let w be 4 + (-11)/((-11)/(-6)). Suppose -5*r - 17 = j, j + 3*j + 2*r = 4. Let k be (-2 + 7 - j) + w. Solve 6 = -k*l + 2*l - 5*t, 2*t - 4 = 4*l for l. -2 Suppose d + a = -16, 5*d + 89 = 2*a + 2*a. Let r = 6 - d. Solve r = -2*t - 3*c, 5*c + 26 = -4*t - 15 for t. -4 Let u(k) = 14*k**2. Let a be u(1). Suppose -a = 4*r + 2. Let m(n) = -3*n - 7. Let t be m(r). Solve 2*l + 2*l - t*y = -11, 5*l + 5*y - 20 = 0 for l. 1 Suppose -o + 3*o = 5*v - 4, -2*v = -o. Solve 5*h + 5*k = 0, -3*h - k + 6*k = o for h. -1 Suppose 0 = 5*h - y + 4*y + 140, -4*y - 20 = 0. Let s = h + 28. Solve s*p - 35 = 5*c - 2*p, -3*c - 3*p = 9 for c. -5 Suppose 0 = 8*m - 10*m + 6. Solve m*j = 4*g - 1, g = -j - 3*j + 5 for j. 1 Suppose -3*h + 0*h = 2*q - 23, 4*h + 3*q = 29. Let g = h + -8. Suppose g*n - 10 = -1. Solve f - w = -4, 3*w - 14 = n*f - 2*w for f. -3 Let r(q) = -q**2 + 20*q - 88. Let m be r(13). Solve 0 = -n - 5*h + 5, -8 = -m*n - 5*h + 7 for n. 5 Let u(k) = k**2 + 7*k - 26. Let l be u(3). Solve h + 4*v = 20, -l*v + 16 = -h + v for h. 4 Let u = -1754 + 1759. Solve 1 = x + h, -u*x = -x + 5*h - 1 for x. 4 Let l(p) = p**3 - 5*p**2 - 5*p - 5. Let a be l(6). Suppose v = -w + 8, 5*w - 14 = -2*v + 14. Solve -s = -r, -2*r - w*s = -5*s - a for r. 1 Let h be 4/14 + (384/28 - -5). Let g be 1/1 - (-22 + h). Solve 5*w + 2*o + 2 = -3, w + g*o = 17 for w. -3 Suppose -5*r - 2*u + 6 + 14 = 0, 0 = 4*u. Solve r*j - 4 = -q, -q + 3 + 3 = 5*j for j. 2 Let z be (-4 - (1 + -1))*8. Let f = z + 34. Solve -f*w + 5*a - 19 = 0, -2*a + 0 = -4*w - 14 for w. -2 Let x = 8 - 6. Let v be (-15)/x*(-30)/9. Solve v = -5*n, -2*f - 3 = n + 2 for f. 0 Let s(y) = 10 + 7 - 24 + 3*y - 4*y. Let k be s(-10). Solve 0 = -3*h - 4*u - 8, -5*h + 8*u = k*u - 10 for h. 0 Let q be 0 + -4 + 5 + -1. Solve -9 = -3*s + s - y, 5*s - 4*y - 3 = q for s. 3 Suppose 17 = 3*l + 11. Suppose -g = -5*y - 24, 5*y + 8 = -g + l*y. Solve -g*q - f + 4 = -2*f, f = 5*q - 5 for q. 1 Suppose -3*g + 2*x = 12 + 1, 3*g + 2*x + 5 = 0. Let l(t) = -t**2 - 3*t. Let n be l(g). Let o be n/(-9) - 6/(-2). Solve 5*k = -15, -4*j - o*k - 6 = -1 for j. 1 Let v = 30 - 30. Suppose 204 = -v*o - 6*o. Let l be 15/(-60) - o/8. Solve -2*t + 4 - 2 = -5*g, -l = 2*g for t. -4 Let u(k) = k + 4. Let c be u(-5). Let h be (0 - c)*32/4. Let l = 15 - h. Solve g - 3 = -3*y + l, 3*y = 5*g + 22 for y. 4 Let x(v) = v**2 - 11*v + 10. Let b be x(8). Let s = -11 - b. Solve 0 = -5*r + j - 15, 6 + 3 = -s*r + 2*j for r. -3 Suppose -4*w + 8 = -6*t + 8*t, -12 = w - 3*t. Solve -3*b - 4*q + 5*q = -9, -2*b + 5*q + 19 = w for b. 2 Suppose -x = -2*c - 14, -c + 4 = -5*c. Let u(n) = -n**3 + 10*n**2 + 23*n + 23. Let q be u(x). Solve -4*w + 5*i = -q, -w = 2*w - i - 11 for w. 4 Suppose 20 = -5*q + 5*k, 0 = 4*q - 3*k + 1 + 16. Let a(b) = -4*b - 11. Let c be a(q). Solve -2*y - 3*l + 28 = c, 0 = -y - 2*l + 12 for y. 2 Let t be 364/(-8)*(-36)/63. Suppose 2*f - f - 2 = 0. Solve -2*d = 4*o + 10, t = 5*d - f*o - 9 for d. 5 Suppose 0 = b - 41 + 24. Solve c - 3*u = b, -4*c + 2*u = -2*c - 18 for c. 5 Let d = -73 - -23. Let s = -45 - d. Solve 5*a - r = -2, -3*r - 8 = s*a - 2*r for a. -1 Let n = -22 + 25. Suppose 0 = -g, -n*k = 2*k + 3*g - 115. Solve a = -3*a + w + k, -18 = -3*a + w for a. 5 Let d = -29 + 17. Let p(j) = -j**3 - 11*j**2 + 11*j - 1. Let s be p(d). Let y be 45*(4 - s/3). Solve 9 = -3*n - 2*c, 5*n - c = 4*c - y for n. -3 Suppose 5*i = 9*i. Suppose -g + 4 = -i*g. Solve 5*q - 3 = -p, g*q - 6 = 5*p - 4*p for q. 1 Let z be ((-25)/(-4))/(3/12). Let r = -22 + z. Suppose -7 = -2*b - r. Solve 18 = b*p - 2*k, -3*p + 2*k = 2*p - 30 for p. 4 Let v = -52 - -52. Suppose v = -o + 2*r + 2, -4*o + 17 - 9 = -r. Solve 2*n - 3*a + 12 = 37, 0 = 2*n + o*a for n. 5 Let c = 16 - 14. Let s = 5 - c. Solve -3*u - 5*y = -4, 6*u - s*u + 2*y = -2 for u. -2 Suppose 15 + 15 = 15*j. Solve -3*x - 29 = 8*w - 4*w, 0 = w - j*x - 1 for w. -5 Suppose 0 = -11*j + 17*j - 18. Solve 7*q - j*q + 4 = 0, -3*o = -2*q + 1 for o. -1 Let v = -90 + 113. Solve 4*a + 24 = 2*p, 3*p + p - v = 3*a for p. 2 Let z be (12/(-9))/(4/18). Let m(o) = o**2 + 5*o - 4. Let b be m(z). Let v be -2 + (-1 - 2) + (-14)/(56/(-60)). Solve 5*j + v = b*h, 5*h - 25 = 3*j - 0*j for j. 0 Let x(l) = -l. Let j be x(-1). Let s = -37 - -25. Let f be ((0 - -5) + -2)/(s/(-8)). Solve 2*g + f = m + j, -g + 3*m - 8 = 0 for g. 1 Let i = -21 + 16. Let k = 5 + i. Solve 2*d + 10 = -k*d + 2*n, 2*n - 8 = 0 for d. -1 Let y(r) = 108*r + 216. Let t be y(-2). Suppose 0 = 2*h - 4. Let f be (h - 0)*3/2. Solve t = u - f, -5*c - u = -0*c + 12 for c. -3 Suppose -15 + 35 = 5*d. Suppose -3*y + 14 = d*y. Let l = -5 - -8. Solve -5*n - l*x + 19 = -5*x, -n + x + y = 0 for n. 5 Suppose 90 = 5*x + 4*g, 6*g - g = -4*x + 81. Let m = -10 + x. Solve 2*n + 2*w - 11 = 3*n, 15 = 5*n + m*w for n. -1 Let f = -13 - -18. Suppose -3*c + 4 = 5*n, -3*c + 4*n = f*n - 20. Solve 0 = -g - j, 4*g = 2*j + c + 4 for g. 2 Let f(n) = 3 - 8 + 3*n + 6 + 1. Let r be f(1). Suppose 1 = y - 11. Solve 0 = r*m - 20, -2*b + 5*m - y = 2*b for b. 2 Let y = 459 - 455. Solve -3*g + 2*g - y*b - 4 = 0, 2*b + 2 = -4*g for g. 0 Let s = -13 - -23. Suppose 2*h - 20 = -s. Solve 4*z = 5*y + z - 2, -h*z = y + 22 for y. -2 Let t = -218 - -220. Solve 3*b = b - t*k, 2*k - 4 = 0 for b. -2 Let b be (3/(-1))/(-3) + -11. Let a be -18 - ((-6)/3 - 2). Let i = b - a. Solve 2*j = -3*w - 2*j - 4, -i*w - 6 = 5*j for w. -4 Suppose -z + 5*o = -13, -52*z - 5*o = -49*z + 1. Solve 0 = 4*l - 4*h - 40, 2*l - 5 = -z*l - 4*h for l. 5 Let m be 3/(-15) - 202/(-10). Let r(u) = -u**2 - 12*u - 13. Let p(g) = g**2 - 19*g - 52. Let d be p(21). Let i be r(d). Solve 6*s = s - m, 5*k = 2*s - i for k. -3 Let o(y) = 2*y**3 + 51*y**2 - 30*y - 101. Let a be o(-26). Solve 5*j + 2*p + 5 = 0, -5*j - 30 = -0*p - a*p for j. -3 Let i = 45 + 4. Let m = i + -44. Solve k = -2*r - 4*k, 0 = -4*r + m*k for r. 0 Let u be (-6)/(-16) + 90/16. Suppose -g = -6*g, 0 = t - 2*g - u. Solve 0 = 4*s - 5*p, -s + t*p = p for s. 0 Let f(n) = 13*n - 624. Let d be f(48). Solve -l = -r + 5, r + 5*l + 1 = -d*l for r. 4 Suppose -l + 30 = 5*k + 3, 0 = 2*l - 2*k + 6. Suppose 3*c - 2*i = 39, -c + i = l*i - 18.
{ "pile_set_name": "DM Mathematics" }
to the power of 1/2, to the nearest integer? 193 What is the fifth root of 663 to the nearest integer? 4 What is the square root of 11547 to the nearest integer? 107 What is 33880 to the power of 1/3, to the nearest integer? 32 What is the cube root of 9747 to the nearest integer? 21 What is the cube root of 1523 to the nearest integer? 12 What is the tenth root of 2710 to the nearest integer? 2 What is 27563 to the power of 1/10, to the nearest integer? 3 What is 5805 to the power of 1/3, to the nearest integer? 18 What is 83684 to the power of 1/3, to the nearest integer? 44 What is the third root of 7327 to the nearest integer? 19 What is the cube root of 763 to the nearest integer? 9 What is the eighth root of 1298 to the nearest integer? 2 What is 10641 to the power of 1/7, to the nearest integer? 4 What is the cube root of 9332 to the nearest integer? 21 What is 3164 to the power of 1/5, to the nearest integer? 5 What is 1045 to the power of 1/7, to the nearest integer? 3 What is the third root of 14471 to the nearest integer? 24 What is the square root of 397 to the nearest integer? 20 What is the seventh root of 2398 to the nearest integer? 3 What is the fourth root of 36251 to the nearest integer? 14 What is the square root of 9529 to the nearest integer? 98 What is 1141 to the power of 1/3, to the nearest integer? 10 What is the ninth root of 22391 to the nearest integer? 3 What is the sixth root of 904 to the nearest integer? 3 What is the third root of 181 to the nearest integer? 6 What is the square root of 1946 to the nearest integer? 44 What is the fourth root of 31668 to the nearest integer? 13 What is 1278 to the power of 1/8, to the nearest integer? 2 What is 1484 to the power of 1/5, to the nearest integer? 4 What is 487 to the power of 1/2, to the nearest integer? 22 What is the cube root of 802 to the nearest integer? 9 What is the third root of 66155 to the nearest integer? 40 What is the fourth root of 93735 to the nearest integer? 17 What is the sixth root of 102677 to the nearest integer? 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3 What is the ninth root of 322 to the nearest integer? 2 What is 1489 to the power of 1/3, to the nearest integer? 11 What is the third root of 29960 to the nearest integer? 31 What is 9385 to the power of 1/2, to the nearest integer? 97 What is the cube root of 77791 to the nearest integer? 43 What is 44957 to the power of 1/7, to the nearest integer? 5 What is 51207 to the power of 1/4, to the nearest integer? 15 What is 10607 to the power of 1/2, to the nearest integer? 103 What is 13999 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 7107 to the nearest integer? 3 What is 92437 to the power of 1/2, to the nearest integer? 304 What is 37642 to the power of 1/3, to the nearest integer? 34 What is the square root of 4740 to the nearest integer? 69 What is 378 to the power of 1/8, to the nearest integer? 2 What is 219 to the power of 1/7, to the nearest integer? 2 What is the tenth root of 22163 to the nearest integer? 3 What is 9509 to the power of 1/9, to the nearest integer? 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6 What is 1691 to the power of 1/9, to the nearest integer? 2 What is the square root of 7215 to the nearest integer? 85 What is 58758 to the power of 1/4, to the nearest integer? 16 What is the cube root of 7656 to the nearest integer? 20 What is the square root of 1538 to the nearest integer? 39 What is 3065 to the power of 1/2, to the nearest integer? 55 What is 6643 to the power of 1/7, to the nearest integer? 4 What is the third root of 4088 to the nearest integer? 16 What is 424 to the power of 1/3, to the nearest integer? 8 What is the tenth root of 53245 to the nearest integer? 3 What is 2725 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 1565 to the nearest integer? 3 What is the ninth root of 4961 to the nearest integer? 3 What is 27869 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 681 to the nearest integer? 5 What is 10837 to the power of 1/3, to the nearest integer? 22 What is 5576 to the power of 1/2, to the nearest integer? 75 What is the fourth root of 2323 to the nearest integer? 7 What is 9544 to the power of 1/2, to the nearest integer? 98 What is the ninth root of 15216 to the nearest integer? 3 What is 3312 to the power of 1/2, to the nearest integer? 58 What is the cube root of 1034 to the nearest integer? 10 What is the square root of 2736 to the nearest integer? 52 What is 6254 to the power of 1/3, to the nearest integer? 18 What is 142 to the power of 1/7, to the nearest integer? 2 What is 62521 to the power of 1/3, to the nearest integer? 40 What is the cube root of 28315 to the nearest integer? 30 What is the square root of 17387 to the nearest integer? 132 What is the square root of 2631 to the nearest integer? 51 What is the cube root of 1042 to the nearest integer? 10 What is the fourth root of 2258 to the nearest integer? 7 What is 34702 to the power of 1/3, to the nearest integer? 33 What is the cube root of 35995 to the nearest integer? 33 What is 6769 to the power of 1/9, to the nearest integer? 3 What is 250 to the power of 1/2, to the nearest integer? 16 What is 74685 to the power of 1/2, to the nearest integer? 273 What is the square root of 107334 to the nearest integer? 328 What is 2810 to the power of 1/5, to the nearest integer? 5 What is the ninth root of 46097 to the nearest integer? 3 What is the tenth root of 227 to the nearest integer? 2 What is the square root of 2872 to the nearest integer? 54 What is 217 to the power of 1/2, to the nearest integer? 15 What is 369 to the power of 1/2, to the nearest integer? 19 What is 547 to the power of 1/9, to the nearest integer? 2 What is the square root of 1879 to the nearest integer? 43 What is 1311 to the power of 1/2, to the nearest integer? 36 What is 21853 to the power of 1/2, to the nearest integer? 148 What is the seventh root of 1323 to the nearest integer? 3 What is 75437 to the power of 1/2, to the nearest integer? 275 What is the cube root of 27848 to the nearest integer? 30 What is 144472 to the power of 1/8, to the nearest integer? 4 What is
{ "pile_set_name": "DM Mathematics" }
r**3 - 156 What is the third derivative of -3*j**5 - 33*j**4 - 8*j**3 - 4330*j**2? -180*j**2 - 792*j - 48 Find the first derivative of 27*p**4 + 33*p**2*v + 2*p**2*y - 2709*v*y wrt p. 108*p**3 + 66*p*v + 4*p*y What is the second derivative of 3699*l**2*r**2 + 3*l*r**2 - 93*l - 9*r wrt l? 7398*r**2 Find the second derivative of b**3*g + 4*b**2*g + 4*b**2 - 53*b*g wrt b. 6*b*g + 8*g + 8 What is the first derivative of 11544*v**3 + 15409? 34632*v**2 What is the second derivative of 110*k**5 - 17*k? 2200*k**3 What is the first derivative of -68*t**4 + 156? -272*t**3 What is the second derivative of -2*h**4 + 4*h**3 + 197*h? -24*h**2 + 24*h What is the third derivative of -203*a**3 - 2*a**2 - 150 wrt a? -1218 What is the first derivative of -4*u*w**3 + 188*u*w + 2*u - 4*w**3 + 23*w**2 - 23*w wrt u? -4*w**3 + 188*w + 2 What is the second derivative of 9*l**5 - 5*l**2 + 101*l wrt l? 180*l**3 - 10 Find the third derivative of -1324*b**4*g + b**3*g**3 + 45*b**2 + 2*b*g**2 - 2*g**3 wrt b. -31776*b*g + 6*g**3 What is the first derivative of 11*g**4 - 115*g**3 + 4458 wrt g? 44*g**3 - 345*g**2 What is the third derivative of -61*j*z**6 - 3*j*z**3 - j*z**2 + 36*j wrt z? -7320*j*z**3 - 18*j What is the second derivative of 2*f**4 - 1239*f**3 - 10024*f? 24*f**2 - 7434*f Find the second derivative of -5*k*y**2 + k*y - 78*y**2 + 44*y - 2 wrt y. -10*k - 156 Differentiate 3*c**4 - 148*c + 3868 with respect to c. 12*c**3 - 148 What is the third derivative of 2*g**5 + 1316*g**3 + 993*g**2 + 4*g wrt g? 120*g**2 + 7896 Find the third derivative of -1249*t**3 + 2484*t**2. -7494 Find the second derivative of -107*c**3*m**2 - 4*c**3*v**3 - 2*c**3 - c*m**2*v**3 - 21*m*v**3 wrt m. -214*c**3 - 2*c*v**3 What is the second derivative of -5553*y**4 + 2*y**3 - 193*y - 4 wrt y? -66636*y**2 + 12*y Differentiate -41*k**2*w - 2*k**2 + 770*k + 4*w - 2 with respect to w. -41*k**2 + 4 Find the third derivative of 185*l**4 + 29*l**3 - 1139*l**2 + 5. 4440*l + 174 Find the first derivative of 69*a*n**3 + 3*a*n**2 + 596*n**3 wrt a. 69*n**3 + 3*n**2 What is the derivative of 5*i**2*j**4 - 16*i**2*j**3 - 339*i**2 wrt j? 20*i**2*j**3 - 48*i**2*j**2 What is the derivative of 3941*u**2 + 589? 7882*u What is the second derivative of 2147*i**2*k**2 - 2*i**2*k - 2*k - 1076 wrt k? 4294*i**2 Find the first derivative of 692*t**2 - 3*t - 23869 wrt t. 1384*t - 3 Differentiate -2264*d - 2544 wrt d. -2264 Find the second derivative of -108*x**2 - 736*x + 2 wrt x. -216 Find the second derivative of -5386*h**2*q**2 - 2*h**2*q + 11*h**2 + 2*h*q**4 - h*q + 1 wrt q. -10772*h**2 + 24*h*q**2 Find the third derivative of 3*c**4 + 44*c**3 + 11*c**2 + 63. 72*c + 264 Find the second derivative of -16256*y**2 - 10202*y. -32512 Find the third derivative of 97*d**2*t**3 + 2*d**2*t**2 + d*t**2 wrt t. 582*d**2 Differentiate 5710*f + 6892 wrt f. 5710 Find the second derivative of 116*n**5 + 9*n + 1. 2320*n**3 Find the second derivative of 13*n**3 + 20*n**2 - 2332*n. 78*n + 40 Differentiate -7*a**2 - 45*a - 318. -14*a - 45 What is the third derivative of -146*j**4*w - j**3*w**2 + 7*j**2*w**2 + 4*w wrt j? -3504*j*w - 6*w**2 What is the third derivative of -430*o**6*q*y - 2*o**4*q**2 + 3*o**2*q**2 + 2*o**2*q*y - 16*o*q**2 - q*y wrt o? -51600*o**3*q*y - 48*o*q**2 Find the second derivative of 137*a**4 - 4*a**3 + 3*a - 1544 wrt a. 1644*a**2 - 24*a What is the first derivative of -m**4 + 53*m**3 - 5*m**2 + 4280? -4*m**3 + 159*m**2 - 10*m Differentiate 138*s*u**4 + s*u**3 + 6*s - 67 with respect to u. 552*s*u**3 + 3*s*u**2 Find the first derivative of -310*m**4 + 2*m - 5888 wrt m. -1240*m**3 + 2 Find the second derivative of -38*r**4*t**3 - r**2*t**3 - 2*r**2*t + 5*r + 25*t**3 + 2 wrt r. -456*r**2*t**3 - 2*t**3 - 4*t What is the second derivative of -7*d**2*i + 31*d**2*m - 2*d**2 - 2*d*i - m - 85 wrt d? -14*i + 62*m - 4 Find the first derivative of 7*o**3*t*x**2 + 5*o**3*t - 3*o**3 + 2*o*x**2 + 12*x**2 wrt t. 7*o**3*x**2 + 5*o**3 What is the first derivative of 14*b**2*n**2 - 10*b**2*n + 385*b**2 + b*n + 4*b wrt n? 28*b**2*n - 10*b**2 + b What is the second derivative of -228*d**2*o**3 + 5*d*o**3 + 3*d*o - 2*o**2 wrt d? -456*o**3 Find the second derivative of -4*f**2*l*x**2 + f**2*l*x - 3*f**2*l - 2*f*l*x**2 - 2*f*x + l*x**2 - 40*x wrt x. -8*f**2*l - 4*f*l + 2*l Differentiate 14530*i*n*s**3 - 10*n*s**3 - n + 3*s**3 - 126*s**2 with respect to i. 14530*n*s**3 What is the second derivative of 2*l**4 + 5*l**3*r - l**2 - l*r - 10*r wrt l? 24*l**2 + 30*l*r - 2 Find the third derivative of 7654*i**5 - i**2 - 2*i - 175. 459240*i**2 What is the first derivative of -2*a**3*t**2 - a**3 + 35*a**2 + 30*t**2 + 1 wrt a? -6*a**2*t**2 - 3*a**2 + 70*a Find the third derivative of -2*y**3*z**3 + 12*y**3*z**2 - 3*y**3*z - y**2*z**3 - 73*z**4 wrt z. -12*y**3 - 6*y**2 - 1752*z Find the third derivative of -5465*f**3 - 847*f**2 - f - 1. -32790 What is the third derivative of 667*h**6 - 1066*h**2 - 2 wrt h? 80040*h**3 What is the derivative of -502*t**3 - 2*t**2 + 980 wrt t? -1506*t**2 - 4*t What is the third derivative of 15684*y**5 - 3132*y**2 + 2*y wrt y? 941040*y**2 Find the third derivative of -3*h**5 - 71*h**4 + 2*h**3 + 1536*h**2 + 2*h - 1 wrt h. -180*h**2 - 1704*h + 12 Find the third derivative of -2*q**5 + 10*q**3 + 3049*q**2. -120*q**2 + 60 Find the second derivative of 2*g**5 + 3*g**4 - 165*g wrt g. 40*g**3 + 36*g**2 What is the second derivative of -2*c**3*i**3 + 3*c**3*o**2 + 2*c**3 - 14*c**2*i**3*o**2 - 2*o wrt o? 6*c**3 - 28*c**2*i**3 What is the second derivative of 4*u**5 + 177*u**3 - u + 278 wrt u? 80*u**3 + 1062*u Find the second derivative of 578*p**5 + p + 516. 11560*p**3 What is the second derivative of 8*b**4 + 53*b**3 - 2*b + 1715 wrt b? 96*b**2 + 318*b Find the first derivative of -h*l*r - 2495*h*r + 9*l*r - 16*l wrt l. -h*r + 9*r - 16 What is the first derivative of 3540*q + 6211? 3540 What is the third derivative of 5291*h**5 + 2*h**4 - 20*h**2 - h wrt h? 317460*h**2 + 48*h What is the first derivative of -c**3*v - 17*c**3 - c*v - 51*c - 4580*v wrt v? -c**3 - c - 4580 What is the second derivative of -n**5*t**3 - 453*n**5*t + 4*n*t**3 - 38*n*t**2 - 3*n*t + 1 wrt n? -20*n**3*t**3 - 9060*n**3*t What is the derivative of -1165*o**3 + o**2 - 1974 wrt o? -3495*o**2 + 2*o What is the second derivative of 1139*b**3 + 1050*b wrt b? 6834*b Find the second derivative of -33*r**3 - 3*r**2 + 16*r. -198*r - 6 What is the second derivative of c**3 - 505*c**2 + 472*c? 6*c - 1010 Find the first derivative of -60*b*o**2 + 8*b*o*p*x**2 - 2*b*p**2 + 6*o**2 + 2*o*p**2 - 3*p**2 + 20*x**2 wrt b. -60*o**2 + 8*o*p*x**2 - 2*p**2 Find the first derivative of 48*q**3*x**2 + 43*q**3 - 5*x**2 - 40 wrt x. 96*q**3*x - 10*x Find the third derivative of 6*b**4 - 462*b**3 + 49*b**2 + 121 wrt b. 144*b - 2772 What is the second derivative of -4*l*w**2 - 20*l*w + 2*l + 5*w**2 wrt w? -8*l + 10 Find the second derivative of -1590*l**2*q**3 - 2*l*q**3 + 2*l*q + 9*l - 14*q**3 wrt l. -3180*q**3 What is the second derivative of 10*a**5 + a**3 - 19*a**2 + 77*a + 14? 200*a**3 + 6*a - 38 Find the third derivative of -79*c**3*g**3*n + 41*c**3*g**3 + 2*c**3*g**2 + 3*c**3 + 98*c**2*n + 7*c*g**2 - 2*g*n wrt g. -474*c**3*n + 246*c**3 Find the first derivative of -14*b**3*h**2 + 7*b**3 + 62*b**2 - 19*b*h wrt h. -28*b**3*h - 19*b What is the third derivative of -h*n**4 + 11*h - 45*n**4 + 2*n**2 wrt n? -24*h*n - 1080*n Differentiate -11*d**3*x**3 - d**3 + 22*d**2*x**3 - 166*d**2 with respect to x. -33*d**3*x**2 + 66*d**2*x**2 What is the third derivative of -544*r**5 - 200*r**2 + 2*r wrt r? -32640*r**2 What is the second derivative of g**3 - 242*g**2 - 609*g? 6*g - 484 Differentiate 4*b**2*i - 8*b*i*k**2 + b*i - i*k**2 - 7*i + 3*k with respect to b. 8*b*i - 8*i*k**2 + i What is the third derivative of -140*a**4 + 4*a**2 - 109*a? -3360*a What is the third derivative of -245*q**5 + 2*q**4 + 51*q**2 - 2? -14700*q**2 + 48*q Differentiate 1930*f - 2019 with respect to f. 1930 Find the third derivative of 29*c**4 - 26*c**2 - 3*c wrt c. 696*c Find the third derivative of 20014*s**3 - 5159*s**2 wrt s. 120084 What is the third derivative of 5322*y**3 - 98*y**2 + 2*y - 1? 31932 What is the third derivative of 1853*d**3*v*z - 2*d**2*v + 3*v*z + 27*v wrt d? 11118*v*z What is the th
{ "pile_set_name": "DM Mathematics" }
rm in 29443, 29485, 29527, 29569, 29611? 29653 What is next in 177, 306, 393, 438, 441, 402, 321? 198 What is the next term in -52573, -52574, -52575? -52576 What is the next term in -128, -611, -1426, -2579, -4076, -5923, -8126? -10691 What is next in -320361, -640727, -961093, -1281459, -1601825? -1922191 What comes next: -2041, -4060, -6083, -8110, -10141, -12176? -14215 What comes next: 187488, 374978, 562468? 749958 What is next in -1214, -2429, -3644, -4859? -6074 What is next in -573, -1161, -1747, -2331, -2913, -3493? -4071 What is the next term in -302, -747, -1192, -1637, -2082, -2527? -2972 What is the next term in -60, -65, -72, -81, -92, -105, -120? -137 What is the next term in -2752, -11014, -24766, -43990, -68668, -98782, -134314, -175246? -221560 What is the next term in 381, 409, 463, 555, 697, 901? 1179 What comes next: -344770, -689533, -1034294, -1379053, -1723810, -2068565? -2413318 What is next in 18367, 18373, 18379? 18385 What comes next: -601, -4779, -16153, -38323, -74889, -129451? -205609 What is the next term in 2308, 4641, 6998, 9379, 11784, 14213? 16666 What comes next: 179173, 179174, 179167, 179146, 179105, 179038, 178939, 178802? 178621 What is next in -287, -767, -2087, -4673, -8951, -15347? -24287 What is next in -533, -584, -719, -980, -1409, -2048, -2939, -4124? -5645 What is the next term in -3347, -3904, -4461, -5018? -5575 What comes next: -224, -505, -1252, -2693, -5056? -8569 What comes next: -1019, -2097, -3175, -4253, -5331? -6409 What is the next term in -14, 367, 992, 1855, 2950? 4271 What is the next term in 16115, 32230, 48345, 64460, 80575? 96690 What is next in -539, -2209, -5009, -8939? -13999 What is the next term in -143, -148, -155, -164, -175? -188 What comes next: -20719, -41439, -62159, -82879? -103599 What comes next: -36283, -36281, -36279? -36277 What is next in 6047, 5979, 5855, 5669, 5415? 5087 What is the next term in -246, -538, -894, -1332, -1870, -2526, -3318, -4264? -5382 What is next in -188932, -377864, -566796, -755728, -944660? -1133592 What is the next term in 55544, 55541, 55538, 55535, 55532? 55529 What comes next: -21812, -43638, -65464, -87290, -109116? -130942 What comes next: 8862, 9051, 9242, 9435, 9630, 9827, 10026? 10227 What is next in -1, -175, -471, -895, -1453, -2151? -2995 What is the next term in -381, -356, -303, -216, -89, 84, 309, 592? 939 What is next in 2587, 9886, 22051, 39082, 60979, 87742? 119371 What comes next: -14304, -14299, -14294, -14289, -14284, -14279? -14274 What is next in 2768, 2766, 2764, 2762, 2760, 2758? 2756 What comes next: 7, 424, 867, 1348, 1879, 2472? 3139 What is the next term in 1710, 3418, 5126, 6834, 8542, 10250? 11958 What is the next term in 7043, 14091, 21139, 28187? 35235 What comes next: 32585, 32601, 32631, 32681, 32757? 32865 What is the next term in 1276, 5057, 11366, 20209, 31592, 45521, 62002, 81041? 102644 What is next in 34020, 68042, 102064, 136086, 170108? 204130 What is next in 8112, 8092, 8060, 8016, 7960, 7892? 7812 What comes next: -441, -1303, -2581, -4275? -6385 What is the next term in 1496, 2057, 2618? 3179 What is the next term in -27450, -54957, -82464, -109971, -137478, -164985? -192492 What comes next: 30439, 30440, 30441, 30442, 30443, 30444? 30445 What is the next term in -95, -292, -589, -986, -1483, -2080, -2777? -3574 What is next in -5258, -5264, -5282, -5318, -5378, -5468, -5594? -5762 What is the next term in 2, -55, -112, -169? -226 What is the next term in -792, -1246, -1700, -2154? -2608 What is next in -2833, -2909, -2985, -3061? -3137 What is next in 129077, 129071, 129063, 129053, 129041? 129027 What is next in 88, 308, 840, 1840, 3464, 5868, 9208, 13640? 19320 What comes next: -1365, -2724, -4087, -5454, -6825, -8200? -9579 What comes next: 18577, 18554, 18515, 18460, 18389, 18302? 18199 What comes next: -5756, -5697, -5638, -5579, -5520? -5461 What is the next term in -10544, -21090, -31636, -42182, -52728, -63274? -73820 What is next in 708, 763, 802, 819, 808, 763, 678, 547? 364 What is next in 94028, 94033, 94038, 94043? 94048 What is the next term in 69482, 69484, 69488, 69494, 69502, 69512? 69524 What is the next term in -160, -406, -816, -1390, -2128, -3030, -4096? -5326 What is next in -3907869, -7815739, -11723609, -15631479? -19539349 What is the next term in 430, 239, 48, -143? -334 What is the next term in 5653, 11258, 16861, 22462, 28061, 33658? 39253 What is the next term in -136, -266, -368, -424, -416, -326, -136? 172 What is the next term in 154033, 154036, 154039? 154042 What comes next: -1423, -1491, -1669, -2011, -2571? -3403 What is the next term in 226, 613, 998, 1375, 1738, 2081, 2398, 2683? 2930 What is next in 229, 1213, 2847, 5125, 8041? 11589 What is the next term in 209, 192, -77, -604, -1395? -2456 What comes next: 5209, 5085, 4871, 4561, 4149, 3629, 2995? 2241 What is the next term in 96335, 96340, 96347, 96356? 96367 What is the next term in -35808, -35797, -35786, -35775, -35764? -35753 What is next in -4301, -2778, -1269, 220, 1683, 3114, 4507, 5856? 7155 What is next in -1322, -2598, -3830, -5018? -6162 What is next in -291, -593, -941, -1335, -1775, -2261, -2793? -3371 What is the next term in -1908, -7735, -17474, -31119, -48664? -70103 What is the next term in -3221, -6393, -9519, -12599, -15633? -18621 What is the next term in -1030, -1002, -940, -826, -642, -370, 8, 510? 1154 What comes next: 650, 3518, 8296, 14984, 23582? 34090 What is next in -1871, -3741, -5613, -7487, -9363, -11241? -13121 What comes next: 3390, 6782, 10174, 13566, 16958, 20350? 23742 What comes next: -3453660, -6907321, -10360982? -13814643 What is the next term in 871, 1729, 2587, 3445? 4303 What is next in -1748, -3444, -5134, -6818? -8496 What is next in 235, 575, 1029, 1603, 2303, 3135, 4105, 5219? 6483 What is next in -337, -79, 577, 1829, 3875, 6913? 11141 What is next in 2114623, 4229246, 6343869? 8458492 What is the next term in 2161, 4394, 6627? 8860 What is next in -970475, -970476, -970477? -970478 What is next in -9587, -9583, -9579, -9575, -9571? -9567 What is next in 4452, 4641, 4820, 4983, 5124, 5237, 5316, 5355? 5348 What is next in 140018, 280156, 420282, 560390, 700474, 840528, 980546? 1120522 What comes next: 800, 617, 434? 251 What is the next term in -8914, -17856, -26804, -35758, -44718, -53684? -62656 What is the next term in 185, 622, 1351, 2372, 3685, 5290? 7187 What comes next: -2750, -2625, -2246, -1487, -222, 1675? 4330 What is the next term in 7199, 6920, 6641, 6362? 6083 What comes next: -6, -248, -764, -1650, -3002? -4916 What comes next: 366, 1444, 3242, 5760, 8998, 12956, 17634? 23032 What is next in -6363, -6352, -6341, -6336, -6343, -6368, -6417, -6496? -6611 What comes next: 2056, 2557, 3046, 3517, 3964, 4381, 4762? 5101 What comes next: -611, -1211, -1803, -2387, -2963, -3531? -4091 What is the next term in -1638, -2309, -2980, -3651? -4322 What is the next term in -4431003, -8862008, -13293013? -17724018 What is next in -41, -114, -223, -386, -621, -946? -1379 What comes next: -57696, -57699, -57702, -57705, -57708, -57711? -57714 What comes next: 41358, 41363, 41368? 41373 What comes next: 28149, 28133, 28117, 28101, 28085? 28069 What is the next term in 406, 957, 1882, 3187, 4878, 6961, 9442? 12327 What is next in 241, 516, 789, 1060, 1329, 1596? 1861 What comes next: 598, 587, 590, 613, 662, 743, 862? 1025 What is the next term in -6103, -24405, -54911, -97621, -152535, -219653, -298975? -390501 What comes next: -1918, -7688, -17306, -30772, -48086? -69248 What is the next term in 30, 122, 270, 474, 734, 1050, 1422? 1850 What is the next term in -1160, -2326, -3492? -4658 What is next in 2937, 11761, 26463, 47037, 73477, 105777? 143931 What is next in 6132, 6125, 6118, 6111, 6104, 6097? 6090 What is next in -1051, -4279, -9651, -17161, -26803? -38571 What comes next: 4861, 9742, 14625, 19510, 24397, 29286, 34177? 39070 What comes next: 8993, 8998, 9015, 9050, 9109, 9198, 9323, 9490? 9705 What is the next term in -885, -1751, -2617, -3483, -4349, -5215? -6081 What is the next term in 71, 35, -229, -835, -1897, -3529? -5845 What is the next term in -5652, -11492, -17320, -23130, -28916? -34672 What is the next term in 776, 6198, 2093
{ "pile_set_name": "DM Mathematics" }
. Let c be 2 + (-222)/t - (-8)/(-12). Suppose c*j = 22*j + 312. What is the units digit of j? 8 Let n(j) = 1458*j**2 + 3*j + 5. What is the units digit of n(-1)? 0 Suppose -112282 = -25*v - 13007. What is the hundreds digit of v? 9 Let v = -62 + 67. Suppose -3*r - v*f = -0*r + 31, -3*f = 15. What is the tens digit of (-535)/(-5) + (r - -5)/1? 1 Let z(v) = -18*v - 13. Let y(d) = -d - 4. Let h(f) = -4*f - 15. Let m(q) = -4*h(q) + 18*y(q). Let w be m(-3). What is the tens digit of z(w)? 9 Let t be (6/(-2))/(3/(-182)). Let o(g) = 8*g + 50. Let q be o(6). Let v = t - q. What is the tens digit of v? 8 Let q be (-3)/((-6)/(-13)) - (-12)/(-8). What is the tens digit of q/20 - (-1162)/5? 3 Let t(k) be the second derivative of 37*k**5/20 - k**4/6 - 2*k**3/3 - 8*k**2 + 21*k. Let h(c) be the first derivative of t(c). What is the tens digit of h(-1)? 1 Let z be -1*(-2 - (-4 + 0 + 5)). Suppose z*d - 4*b = 613, -d + 2*d - 215 = 4*b. What is the tens digit of d? 9 Let m = 16095 - 9575. What is the thousands digit of m? 6 Let i be (-446 - -2)/((-6)/(-69)*-1). Suppose 9*w = -1452 + i. What is the tens digit of w? 0 What is the tens digit of -1*16/24 - (39129/(-9) - -3)? 4 Suppose 5*c = -a + 147843, -26*a = 3*c - 28*a - 88698. Suppose -2142 = 21*r - c. What is the thousands digit of r? 1 Let j(f) = -3*f - 38. Let q be j(-11). Let k be q/(2/(-4 + 2)). Suppose -c = -2*p + 103, -2*c + 316 - 54 = k*p. What is the tens digit of p? 5 Let n = 638 + -450. What is the tens digit of (n - 100) + -8 + 1? 8 Let r(v) = -v**3 - v**2 - v - 1. Let h(x) = -5*x**3 - 2*x**2 + 3*x - 12. Let o(g) = -h(g) + 6*r(g). What is the tens digit of o(-5)? 7 Suppose 8*k - 69390 = -7*k + 52335. What is the units digit of k? 5 Let j(u) be the third derivative of -23*u**6/40 + u**5/60 + u**4/24 + u**3/6 - u**2 - 36. What is the units digit of j(-1)? 0 Suppose 0 = 20*d + 6047 + 6413. Let h = d - -1147. What is the hundreds digit of h? 5 Let p be 24/(-36) - 65/(-3). Suppose -3*o + 5*t + 1115 = 0, -20*t + p*t = o - 369. What is the units digit of o? 5 Let x be (12/(6 + -12))/((-4)/(-34)). What is the tens digit of (x/(-5) - 3)/((-1)/(-25))? 1 Let p(o) be the second derivative of -2*o**3 - 47*o**2/2 - 90*o. What is the tens digit of p(-25)? 5 Let o(b) = 16*b**2 - b + 70. Let c be o(-11). Suppose 0 = -10*u + c + 1853. What is the hundreds digit of u? 3 Suppose -5*s = -77 - 28. Suppose 3*t + t + 5*z + 17 = 0, 0 = 3*t - 3*z - s. Suppose -85 - 25 = -t*o. What is the units digit of o? 5 Let n be -1 - 15/6*80/(-25). Suppose 5*s = 5*y + 675, 2*s - 8*y + n*y = 265. What is the units digit of s? 0 Let x(p) = p**3 + 37*p**2 + 73*p - 16. Let w(s) = 11*s + 351. Let q be w(-35). What is the units digit of x(q)? 0 Suppose -36*v + 32*v + 41598 = 5*x, -3*v + 16642 = 2*x. What is the tens digit of x? 1 What is the tens digit of ((-108)/(-48))/((-11)/(-2420))? 9 What is the tens digit of 72042 + 0/(-15) + -27? 1 Suppose 4*d + 2*i = 6, -3*d - i + 2 = -2*d. What is the tens digit of (1*(-2)/7)/(d/(-1057))? 0 Suppose 5*u = 4*b - 247, 2*u = 3*b - 2*u - 186. Let d = 6 - 3. Suppose -d = -q + b. What is the tens digit of q? 6 What is the hundreds digit of 103856/2 + -89 + 109? 9 Suppose 0 = 3*m - 39 - 36. Let k = m - -20. Let z = k - -7. What is the units digit of z? 2 Suppose -2*w - d = -3*w - 43, 2*w = -2*d - 78. Let h = w + 44. What is the tens digit of h/(-12)*-4 + 37? 3 Suppose 39 = 3*b + 6. Let z(o) = 31*o - 23. What is the tens digit of z(b)? 1 Let x be ((549/6)/(3/4))/2. Let z = -55 + x. Suppose -o - 225 = -z*o. What is the units digit of o? 5 Let u = -31331 + 106203. What is the hundreds digit of u? 8 Let q(r) = 7*r + 109. Let u be q(-16). Let i(k) = -139*k - 4. What is the hundreds digit of i(u)? 4 Let z(w) = -5*w + w**2 + 2 - 1 - 3*w**2 + w**2. Let r be z(-5). What is the units digit of r/(2 - 25/15)? 3 Let s = 680 + 68. Suppose -5*i - 750 = -j, -2*j - s = -3*j + 3*i. Suppose 5*p = 5*o + j, 296 = 2*p - 3*o - o. What is the tens digit of p? 5 Suppose -3*s - 18 = -2*g, -5*s - 4*g - 29 - 1 = 0. Let c(i) = -i**3 - 5*i**2 + 2*i + 21. What is the units digit of c(s)? 5 Let n(y) = 7*y - 23. Let c(t) = -54*t**2 + t - 1. Let o be c(1). Let f = -37 - o. What is the units digit of n(f)? 6 Let b(t) be the first derivative of 26 - 6*t + t**3 - 5/2*t**2. What is the hundreds digit of b(-6)? 1 Let r(g) = -g**3 + 22*g**2 - 34*g - 172. What is the hundreds digit of r(19)? 2 Suppose g = 3*l - 13, -3*l - 3*g + 15 + 6 = 0. Suppose 2*s + 1080 = -a + 6*a, -l*a = -s - 1080. What is the units digit of a? 6 Suppose -3*y + y = z - 5, -4*y = 4*z - 20. What is the tens digit of -3 + z - 30/(-1)? 3 Let n = 5033 - -8783. What is the tens digit of n? 1 Suppose -3*s - 5*p + 58477 = 0, s - 6632 - 12887 = 5*p. What is the tens digit of s? 9 Suppose -a - 7*d = -6*d - 3333, -3*d + 6666 = 2*a. What is the units digit of a? 3 Suppose 5*v = 4*y - 1955, 5*v - 1452 = -3*y + 4*v. Suppose 5*a - y = -7*m + 2*m, 3*a - 259 = 5*m. Let u = a - 73. What is the units digit of u? 0 Suppose -3*o - 37*h + 23865 = -36*h, 5*o + 3*h - 39779 = 0. What is the tens digit of o? 5 Let m = 5522 + -1074. Let c = m + -6478. What is the units digit of c*(-5)/90 - (-2)/9? 3 What is the hundreds digit of 31/((-620)/(-8)) + (-12873)/(-5)? 5 What is the tens digit of (-93218)/(-14) + (-548)/959 + 1/7? 5 Let z(n) = 1533*n - 2224. What is the thousands digit of z(14)? 9 What is the units digit of ((-12)/(-14))/((-81)/(-671706))? 8 Suppose 0 = -10*d + 28*d - 46*d + 737268. What is the tens digit of d? 3 Let q = -285 + -846. Let j = 1649 + q. What is the hundreds digit of j? 5 Let a(j) = -771*j + 4123. What is the ten thousands digit of a(-96)? 7 Suppose -4*x + 3*a + 630 + 3298 = 0, -x + 948 = -5*a. What is the hundreds digit of x? 9 Suppose 84110 = 5*i + 3*l, -5*i = l - 114802 + 30702. What is the ten thousands digit of i? 1 Let b(d) be the second derivative of d**4/4 + 17*d**3/6 + 27*d**2 + 103*d. What is the units digit of b(-13)? 0 Let l(w) = -w - 212*w**3 - 28 - 8*w**2 + 106*w**3 + 104*w**3. What is the hundreds digit of l(-6)? 1 Let b(i) = 18*i + 2. Let x be b(-1). Let n = x + 18. Suppose 3*p + 4*o - 53 = n*p, 2*p + o - 92 = 0. What is the tens digit of p? 4 What is the tens digit of 198/(-36)*-698 + (-16)/2? 3 What is the thousands digit of 909236/828 + (-20)/18? 1 Suppose 4*v - 61111 = m + 49052, -82618 = -3*v + 5*m. What is the hundreds digit of v? 5 Let z(o) = -o**3 + 14*o**2 + 12*o - 1. Let n be z(15). Let b = 50 + n. Suppose -9*f + 70 = -b*f. What is the units digit of f? 4 Let a = -2591 - -45588. What is the thousands digit of a? 2 What is the tens digit of 120384/495*50/4? 4 Suppose -3*l + 3*r = -36, -3*l + 5*r + 68 = 10*r. What is the hundreds digit of 6*(l/(-3))/(-8) + 595? 5 Suppose 22*u = 23*u - 7. What is the hundreds digit of ((-10)/(-20))/(u/1694)? 1 Let u(s) = 40*s**2 + 18*s + 24. Let x be u(24). Suppose x = -10*i + 32*i. What is the units digit of i? 8 Let k = 14946 + -13412. What is the tens digit of k? 3 Suppose 13 - 1 = 3*y - 3*l, -y + 6 = l. Suppose 3*o - y*q = 2129, -3*q - 1421 = -2*o - 0*o. What is the units digit of o? 8 Suppose -5*k - 31664 + 255919 = -3*h, -h = -4*k + 179397. What is the thousands digit of k? 4 Suppose 51*a = 60*a + 36. What is the units digit of -1 - (-669 - (1 + 4 + a))? 9 Let q(c) = -c**3 - 5*c**2 - c**2 - 10 - 12*c - 33*c - 8*c**2 - 32*c. What is the hundreds digit of q(-10)? 3 Let h be 19/((-399)/(-8162)) - 2/(-6). Suppose -u = 3*i - 1051, -3*i - 5*u + 666 = -h. What is the units digit of i? 0 Let k(i) = -1905*i + 4514. What is the tens digit of k(-20)? 1 Let j = 6379 - 697. What is the units digit of j? 2 What is the thousands digit of ((-5493)/4)/((-147)/196)? 1 Suppose -3*c - 5*d = -21087, -2924*c = -2922*c + 5*d - 14063. What is the tens digit of c? 2 Suppose -79*z + 21 = 2*r - 78*z, 0 = 2*r + 4*z - 36. What is the tens digit of 277 - (2/r*4)/(-1)? 7 Let l = -346 - -20. Let x = -150 - l. What is the hundreds digit of x? 1 Suppose -11 - 13 = -12*u. Suppose -2*l + 129 = -5*x, -x = -u*l + x + 120. Suppose -4*j - 5*v + l = -58, -4*j + 91 = -3*v. What is the tens digit of j? 2 Let u = 111 - 109. Suppose 8 = 3*b + u*q, -16 = -0*q - 4*q. Suppose 388 = 3*k + k + 5*t, -3*k + t + 272 = b. What is the units digit of k? 2 Suppose -5*w
{ "pile_set_name": "DM Mathematics" }
4, -563, -908, -1381, -1994, -2759? -2*z**3 - 40*z**2 + 9*z - 176 What is the k'th term of -81398, -81384, -81374, -81368, -81366, -81368? -2*k**2 + 20*k - 81416 What is the z'th term of 328243, 328232, 328207, 328162, 328091, 327988, 327847? -z**3 - z**2 - z + 328246 What is the g'th term of -1710, -2844, -3978, -5112, -6246, -7380? -1134*g - 576 What is the t'th term of -2289317, -4578538, -6867757, -9156974, -11446189, -13735402, -16024613? t**2 - 2289224*t - 94 What is the k'th term of 87569, 175147, 262631, 349973, 437125? -8*k**3 + k**2 + 87631*k - 55 What is the w'th term of -14120, -14722, -15324, -15926, -16528? -602*w - 13518 What is the z'th term of -500, -2091, -4676, -8249, -12804, -18335? z**3 - 503*z**2 - 89*z + 91 What is the o'th term of -39105, -38978, -38851, -38724, -38597? 127*o - 39232 What is the j'th term of 433, 2118, 4891, 8752, 13701, 19738? 544*j**2 + 53*j - 164 What is the b'th term of -60111, -120128, -180145, -240162, -300179? -60017*b - 94 What is the h'th term of 68621, 136016, 203423, 270848, 338297, 405776, 473291? h**3 + 67388*h + 1232 What is the z'th term of 1272706191, 1272706188, 1272706183, 1272706176, 1272706167, 1272706156, 1272706143? -z**2 + 1272706192 What is the d'th term of -3660, -8801, -22740, -49875, -94604, -161325, -254436, -378335? -733*d**3 - d**2 - 7*d - 2919 What is the q'th term of -51133, -50698, -50267, -49840, -49417, -48998, -48583? -2*q**2 + 441*q - 51572 What is the r'th term of -24948, -199617, -673718, -1596969, -3119088, -5389793, -8558802? -24953*r**3 + 2*r**2 - 4*r + 7 What is the g'th term of 80339, 80392, 80517, 80744, 81103, 81624? 5*g**3 + 6*g**2 + 80328 What is the m'th term of -51438, -51216, -50994? 222*m - 51660 What is the r'th term of -1003, -1492, -1975, -2452, -2923, -3388, -3847? 3*r**2 - 498*r - 508 What is the v'th term of 215704, 215698, 215692, 215686? -6*v + 215710 What is the i'th term of -2154995, -4309867, -6464739, -8619611? -2154872*i - 123 What is the k'th term of 45740, 45984, 46228? 244*k + 45496 What is the u'th term of 36738525, 36738521, 36738515, 36738507, 36738497, 36738485? -u**2 - u + 36738527 What is the p'th term of 5872543, 11745089, 17617635? 5872546*p - 3 What is the l'th term of 2249039, 4498079, 6747119? 2249040*l - 1 What is the r'th term of 10676238, 21352556, 32028874, 42705192, 53381510? 10676318*r - 80 What is the s'th term of 4742, 9720, 14684, 19628, 24546, 29432, 34280? -s**3 - s**2 + 4988*s - 244 What is the h'th term of -2842344, -11369512, -25581458, -45478182, -71059684? -2842389*h**2 - h + 46 What is the n'th term of 2122, 8337, 18670, 33139, 51762, 74557? 3*n**3 + 2041*n**2 + 71*n + 7 What is the s'th term of -5256, -11004, -17674, -25728, -35628, -47836, -62814? -77*s**3 + s**2 - 5212*s + 32 What is the r'th term of -5707519, -5707515, -5707515, -5707519? -2*r**2 + 10*r - 5707527 What is the n'th term of 7767, 31806, 72119, 128712, 201591, 290762? n**3 + 8131*n**2 - 361*n - 4 What is the j'th term of 28065131, 28065130, 28065129, 28065128, 28065127, 28065126? -j + 28065132 What is the l'th term of 16113, 52792, 113917, 199482, 309481, 443908? -l**3 + 12229*l**2 - l + 3886 What is the o'th term of 15445921, 30891828, 46337735? 15445907*o + 14 What is the x'th term of -12034, -19314, -26606, -33916, -41250, -48614, -56014? -x**3 - 7273*x - 4760 What is the v'th term of -78, -36, 632, 2406, 5766, 11192, 19164? 80*v**3 - 167*v**2 - 17*v + 26 What is the y'th term of -7295, -7276, -7231, -7160, -7063, -6940, -6791? 13*y**2 - 20*y - 7288 What is the k'th term of 27132, 27054, 26976? -78*k + 27210 What is the t'th term of 2960760, 5921532, 8882306, 11843082, 14803860? t**2 + 2960769*t - 10 What is the l'th term of -691911, -691910, -691899, -691866, -691799, -691686, -691515? 2*l**3 - 7*l**2 + 8*l - 691914 What is the b'th term of -2010215, -2010204, -2010191, -2010182, -2010183, -2010200, -2010239, -2010306? -b**3 + 7*b**2 - 3*b - 2010218 What is the j'th term of 3711149, 7422299, 11133449? 3711150*j - 1 What is the t'th term of 572, 2767, 7284, 14825, 26092, 41787? 117*t**3 + 459*t**2 - t - 3 What is the p'th term of -698, -347, 228, 1027, 2050? 112*p**2 + 15*p - 825 What is the y'th term of 627492, 1255013, 1882520, 2510007, 3137468, 3764897, 4392288? -y**3 - y**2 + 627531*y - 37 What is the k'th term of 10470669, 20941339, 31412013, 41882691, 52353373? 2*k**2 + 10470664*k + 3 What is the v'th term of -15219, -11546, -5423, 3150, 14173? 1225*v**2 - 2*v - 16442 What is the z'th term of -31213, -250437, -845475, -2004235, -3914625, -6764553, -10741927? -31318*z**3 + z**2 - z + 105 What is the c'th term of -32381, -64795, -97199, -129587, -161953, -194291? c**3 - c**2 - 32418*c + 37 What is the t'th term of 30835, 124016, 279319, 496744? 31061*t**2 - 2*t - 224 What is the g'th term of 25016, 25009, 25002, 24995, 24988? -7*g + 25023 What is the a'th term of 1705, 16408, 57101, 136780, 268441, 465080? 2166*a**3 - a**2 - 456*a - 4 What is the m'th term of 87994, 351973, 791940, 1407895? 87994*m**2 - 3*m + 3 What is the u'th term of -28779425, -28779427, -28779429? -2*u - 28779423 What is the x'th term of 224, -171, -1030, -2347, -4116, -6331, -8986, -12075? x**3 - 238*x**2 + 312*x + 149 What is the w'th term of 130847703, 130847694, 130847685, 130847676, 130847667, 130847658? -9*w + 130847712 What is the s'th term of 86133288, 86133298, 86133308? 10*s + 86133278 What is the j'th term of 454725, 909464, 1364205, 1818948? j**2 + 454736*j - 12 What is the o'th term of 64030414, 128060825, 192091236, 256121647? 64030411*o + 3 What is the z'th term of -543003, -543780, -544557, -545334, -546111, -546888? -777*z - 542226 What is the x'th term of -398317, -397683, -397049? 634*x - 398951 What is the a'th term of 82743, 82756, 82775, 82800, 82831, 82868, 82911? 3*a**2 + 4*a + 82736 What is the a'th term of -42071, -84186, -126301? -42115*a + 44 What is the g'th term of -7696, -30712, -69072, -122776, -191824? -7672*g**2 - 24 What is the k'th term of -1171639, -1171634, -1171625, -1171612, -1171595, -1171574? 2*k**2 - k - 1171640 What is the q'th term of -339105, -1356307, -3051645, -5425119, -8476729, -12206475? -339068*q**2 + 2*q - 39 What is the w'th term of -18773, -18769, -18761, -18743, -18709? w**3 - 4*w**2 + 9*w - 18779 What is the n'th term of -2766965, -5533929, -8300897, -11067869? -2*n**2 - 2766958*n - 5 What is the o'th term of -719025, -719053, -719069, -719067, -719041? o**3 - 35*o - 718991 What is the y'th term of 10536, 20884, 31046, 41022, 50812, 60416, 69834? -93*y**2 + 10627*y + 2 What is the t'th term of -1337, -10457, -34977, -82523, -160721, -277197, -439577? -1271*t**3 - 74*t**2 - t + 9 What is the t'th term of 7073, 28326, 63751, 113348, 177117? 7086*t**2 - 5*t - 8 What is the r'th term of 28712749, 28712751, 28712755, 28712761, 28712769, 28712779, 28712791? r**2 - r + 28712749 What is the t'th term of -318799, -637607, -956417, -1275229, -1594043? -t**2 - 318805*t + 7 What is the y'th term of -5773080, -11546156, -17319232? -5773076*y - 4 What is the h'th term of -5604, -11024, -16288, -21390, -26324, -31084, -35664? h**3 + 72*h**2 - 5643*h - 34 What is the l'th term of 14826368, 14826369, 14826370? l + 14826367 What is the d'th term of -447083, -446996, -446921, -446864, -446831? -d**3 + 94*d - 447176 What is the h'th term of 101437, 405853, 913213, 1623517? 101472*h**2 - 35 What is the a'th term of -156, -887, -2068, -3699? -225*a**2 - 56*a + 125 What is the m'th term of -5999757, -5999753, -5999749? 4*m - 5999761 What is the u'th term of -923, -1570, -2145, -2648? 36*u**2 - 755*u - 204 What is the c'th term of -26366, -57440, -88524, -119624, -150746, -181896, -213080? -c**3 + c**2 - 31070*c + 4704 What is the i'th term of -514485, -1029010, -1543535? -514525*i + 40 What is the b'th term of -618640, -1237288, -1855936, -2474584? -618648*b + 8 What is the d'th term of -5368, -10561, -15748, -20929, -26104, -31273? 3*d**2 - 5202*d - 169 What is the x'th term of -9112, -8026, -6224, -3712, -496? -x**3 + 364*x**2 + x - 9476 What is the c'th term of -3179570, -3179566, -3179560, -3179552, -3179542, -3179530? c**2 + c - 3179572 What is the p'th term of -1089330, -2178663, -3267996, -4357329, -5446662? -1089333*p
{ "pile_set_name": "DM Mathematics" }
is bigger: o or 2/3? o Suppose q + 2*q = 0. Suppose 0 = 4*l - 8 - q. Suppose -l + 0 = -m. Which is greater: m or -0.3? m Let c(p) = 3*p + 1. Let b be c(2). Suppose -8 = -2*y + 8. Which is bigger: b or y? y Let n = 46.7 - 47. Is n <= 28? True Let u = -52 - -37. Do -15 and u have the same value? True Let z = -15 - -13.6. Let c = z + 0.4. Let v = c - -1. Which is smaller: -0.1 or v? -0.1 Let u be (-6)/495*6/2. Which is smaller: u or 1? u Let o = 33 + -100/3. Let w = -1.3 - -1. Let n = w + 0.2. Is o < n? True Suppose 3*x - 18 = s + 50, -4*s = 3*x - 73. Let v = x - 41. Let o = v - -35/2. Is o >= -1/4? False Let t be (-4)/12*4/10. Are -1 and t non-equal? True Let i = 227/3 + -75. Which is smaller: 12 or i? i Let p = -6 - -18. Let o be (1 + 0)/(p/84). Which is smaller: 6 or o? 6 Let v be (-9)/(1 + (-3)/(-6)). Let i be -5*v/15 - 4. Which is smaller: i or -3? -3 Let i be -1 - (0 + -3 - -1). Which is smaller: i or -0.2? -0.2 Let h(n) = n**3 + 13*n**2 + 12*n + 6. Let g be h(-12). Suppose -d - 8 = 4*k, 4*k - g*d + 8 = -d. Is -6/5 greater than k? True Suppose -35 = -2*z - 11. Suppose 7*y - 3*y = -z. Which is smaller: y or -4? -4 Suppose 4*u + 2 - 6 = 0. Suppose -3*b + 2 = -2*b. Let k be (-44)/75 - b/(-3). Which is greater: k or u? u Let h(p) be the second derivative of -p**5/20 + p**4 - 5*p**3/3 - 4*p**2 - 3*p. Let w be h(11). Is 2 < w? True Let w(g) = 0*g + 8*g - 2 - g**2 - 3*g. Suppose 5 = -2*d + 3*x, -x = d - 6 + 1. Let h be w(d). Which is smaller: h or 3? 3 Let v be -2 - ((-90)/75)/((-2)/(-5)). Let o be ((-3)/7)/((-6)/(-4)). Which is smaller: o or v? o Suppose z = -2*v + 1, 2*z - 12 = 3*v - z. Is v smaller than -2/109? True Let d = -691/77 + 59/7. Which is smaller: d or 0? d Let u be 120/(-63) - (-4)/12. Which is bigger: u or -3? u Let f = -21 - -21. Which is smaller: f or 1/82? f Let o(z) = -z**3 - 7*z**2 + 8*z + 3. Let w be o(-8). Suppose 7 - 4 = -w*i. Which is greater: 1 or i? 1 Let w = -7 + 4. Let j(h) = -1 + 2*h + h + h - 3*h. Let o be j(w). Which is bigger: o or -2? -2 Suppose -78 = 3*b + 120. Which is greater: b or -65? -65 Let q = -1/7 - -29/56. Is -3/7 <= q? True Let j = 2 - 2. Let y = 22 - 21.3. Which is smaller: j or y? j Let n(u) = u**3 - 6*u**2 + 5*u - 4. Let r be n(5). Let k = r - -6. Which is bigger: 3 or k? 3 Let n be 4/(-10) + ((-112)/(-40))/7. Which is smaller: -3/13 or n? -3/13 Let m = 187/5 + -37. Let w = -25 + -5. Let u be (-3)/2 + (-15)/w. Which is smaller: m or u? u Let y = 12 + -15. Which is bigger: y or -9/5? -9/5 Let g be 56/(-30) - (-6)/9. Let r = 63 + -44. Suppose 16*v = r*v. Which is greater: g or v? v Suppose -4*v = 37 + 3. Let x = v + 11. Which is bigger: x or -3/17? x Let d be (4 - 1 - 0)/(-1). Suppose 0 = p - 3 - 5. Let f be -2*(1 + 4/p). Is d != f? False Let x = -7 - -12. Which is smaller: 7 or x? x Suppose 7 = -5*u - 8. Let d be (-1 - -3)/((-2)/u). Suppose -15 = -5*p, 15 = -0*v + d*v + 4*p. Is 4/7 greater than or equal to v? False Let u = -5 - 6. Let c = u - -11. Which is greater: c or -1? c Let u(s) = 4*s**2 - 2 - 3*s + 2*s + 1 - 5*s**2. Let t be u(-1). Which is bigger: t or -2/7? -2/7 Suppose -10 - 5 = -n. Let c be (-18)/n*1/2. Let d be (-2)/2 + (-2 - -1). Which is smaller: d or c? d Let d(t) = -t**3 + 4*t**2 - t - 3. Let z be d(3). Suppose 5*v - 2*f = -f, v = -z*f. Let x be (v*(-1)/(-2))/1. Which is bigger: -3/4 or x? x Let a(g) = g - 9. Let j be a(5). Let t be (j/6)/(1/(-3)). Which is bigger: t or 0? t Let p(t) be the first derivative of 1/3*t**3 + 7*t + 2 - 7/2*t**2. Let j be p(6). Which is smaller: 2 or j? j Let c = 2 - 3. Suppose -5*v + 5*q = -60, v - q = -4*v + 52. Suppose 6*k = 3*k - r - 5, 3*k + v = -2*r. Is c at most k? True Let n = 52 - 62. Are n and -0.1 non-equal? True Let q(j) = -j**2 + 9*j - 15. Let t be q(8). Is t != -7? False Let c = 0.127 + -0.027. Is 1/6 <= c? False Let j = 112 - 160. Which is smaller: j or 2? j Let o(x) = -x**3 - x**2 + 2*x - 1. Let m be o(-2). Let c = 14 + -18. Which is bigger: c or m? m Let u be (-4)/10 + 37/5. Let b(s) = s**3 - 8*s**2 + 7*s - 1. Let q be b(u). Is 4 <= q? False Let t be (18/2)/(-3 + 4). Let u be -7 + 7 - (-4)/t. Which is smaller: u or -1? -1 Let c = -114 + 113. Which is smaller: c or 2/81? c Let j be 8/(-5) + (-2)/5. Let h = 20.1 + -20. Which is smaller: j or h? j Suppose -f - 2*z + 30 = 0, -63 = 3*f + 2*z - 165. Are 36 and f non-equal? False Let r = -3 - -3.1. Let o = -2 + -10. Let x = o - -12. Which is smaller: x or r? x Let z = -5/36 + 1/4. Suppose 60 = f + 2*f. Suppose 5*s = 5*v + 25, -4*s = -s + 4*v + f. Which is greater: s or z? z Suppose -3*i = 4*c - 10, -2*i - 4*c = -7*i + 70. Let n(b) = b**3 - 16*b**2 + 27*b + 23. Let d be n(14). Which is smaller: i or d? d Suppose -1 + 4 = i. Suppose 0 = i*l - 25 - 11. Let j = l - 62/5. Which is greater: -1 or j? j Let f be -2*(-7)/14*-1*5. Is f at most as big as -33/7? True Let k be 1 - -1 - (-21)/(-11). Let b = -8 + 8. Which is smaller: k or b? b Let a(j) = -j**3 + 6*j**2 - 4*j - 6. Let r be a(5). Which is smaller: r or -2/5? r Suppose 5*h - y - 14 = 0, 4*h - 5*y = 6*h - 11. Is 17/6 > h? False Suppose 2*f + 2*f = -o + 23, -2*f = 3*o - 19. Let d(q) = -q**2 - 7*q + 66. Let k be d(5). Is k bigger than f? True Let j = 11 + -6. Let h = 5 - j. Is h != 2/5? True Let l(h) = -h**2 + 13*h - 9. Let i be l(10). Do 22 and i have different values? True Suppose 3 = -3*j - 0. Let p = -35/8 - -7/2. Let t = p - -5/24. Does t = j? False Let a = 24 - 31. Is a at most as big as -4/3? True Let j = 68 - 477/7. Let t(l) = 2*l + 8. Let v be t(-6). Let z be -2 + (-2)/v*4. Which is smaller: j or z? j Let o be (2/5)/((-1)/(-5)). Let t be o/4 - 4/8. Suppose y + 2*q = 3*q + 2, q + 3 = 2*y. Is t <= y? True Let t = -2 - -2. Let o be (0 - -2)*(-2)/4. Let z = o + t. Which is smaller: 2/9 or z? z Let n = -1.1 - -0.9. Let o = 5 - 4.6. Let v = n + o. Is v bigger than 1? False Let q(y) = y + 4. Let l be q(-4). Let o be ((-2)/(-6))/(15 + -12). Which is smaller: o or l? l Let s(x) = 12*x**3 - x**2 + x + 2. Let y be s(-1). Let r(z) = z**3 + 4*z**2 - 5*z. Let n be r(-5). Let v be (n - -2)*y/9. Which is smaller: v or -4? -4 Let b(n) = 4*n - 25*n**3 + 6*n**3 - 3*n. Let i be b(1). Let u be 2/5*15/i. Is u at least -2? True Let v = 13 + -13.07. Let q = v + -1.93. Is -9 greater than q? False Suppose m = -2*m + 6. Let k be m*3/(-3 - 0). Which is smaller: -1 or k? k Let i be -6*(-4)/56 + (-978)/(-21). Is i greater than or equal to 47? True Let f(r) = -r**2 + 7*r + 8. Let l be f(6). Let w be (9 - (3 - 0))/l. Which is greater: w or -0.1? w Let k be (-4)/10 - (-408)/945. Which is bigger: k or 1? 1 Let s(k) = -k + 8. Let a be s(0). Let l be a/(-10) + (-1)/5. Let p = -22 + 24. Is p < l? False Let r(x) = -6*x + 1. Let v be r(1). Is v less than or equal to -19/3? False Suppose 0*g + g = -x - 3, 11 = -x - 3*g. Let c be (0 - (-1)/x)*-1. Let b be c/2*-10 + -3. Which is greater: b or -0.1? b Let y(i) = -i**3 - 3*i**2 - 4*i. Let t be y(-3). Let j = t + -12. Let h = 3 - 2. Which is bigger: h or j? h Let x be 1246/77 + (-4)/22. Is 15 greater than x? False Let i be (-3)/6 + (-5)/(-10). Which is smaller: i or -1/20? -1/20 Let u be 0 - ((-9)/(-3) + 6). Is -8 < u? False Let j = -24 - -24. Which is greater: j or 2/33? 2/33 Let m = -47.1 - -47. Are m and -58 unequal? True Let y be (2/3)/(22/6). Are y and 2 equal? False Suppose 2*u + 0*b - 2*b + 324 = 0, -4*u - 2*b = 678. Which is smaller: u or 1/4? u Let c(u) = u + 4. Let l be c(-5). Suppose -4*k = 0, m + 0 = k - 1. Let g be (-2)/(-1)*m + 2. Which is smaller: g or l? l Let w = 0.2 - 0.3. Let m = -231 + 231.02. Are m and w unequal? True Let u = 449/11 - 41. Let q = 0 - 0. Is q less than or equal to u? False Let l(k) = -8*k + 69. Let y be l(0). Is 70 != y? True Let q(x) = -x**2 - 3*x + 7. Let c be q(-5). Let a be 2*(-2)/(12/c). Suppose -4*i - n - 3 - a = 0, 2*i - 2*n + 2 = 0. Do i and -1 have the same value? True Let h = 11 - 7. Suppose -h*g = -11 - 13. Suppose 3 = -2*n + 5*n. Which is greater: n or g? g Let z be 0*1/(-2)*1. Suppose z = g + 4*g - 75. Suppose -2*k + 6*k - g = -3*d, 3*d - 5*k = -12. Is d >= 0? True Let x = 19 + -9. Is 8 greater than or equal to x? False Let c = 0.9 - 0.1. Let v = 0.2 - c. Let k = -0.2 + 0.1. Which is bigger: k or v? k Let b be -2 + 4/((-12)/(-5)). Let w = b - -2/3. Let t = -4.8 + 5. Which is bigger:
{ "pile_set_name": "DM Mathematics" }
hat is 2.01 minus 1.7823? 0.2277 Calculate -0.5 + 557026.026. 557025.526 What is the difference between -103.97 and 1.503997? 105.473997 Subtract -2 from -303342045.6. -303342043.6 Add together 3822352996 and -0.3. 3822352995.7 Calculate -64234735 - -26. -64234709 Work out 22 + 8843917. 8843939 What is -9758.4 less than 0.180847? 9758.580847 What is the distance between -0.2 and -6805324.68? 6805324.48 0.8+-692393304 -692393303.2 Put together -0.045 and 0.875178. 0.830178 0.0765 - -2571.13 2571.2065 What is 40856 less than 0.31453? -40855.68547 Calculate -9 - -1102682. 1102673 What is 0.4 less than 902.60048358? 902.20048358 What is -3 + -4230771? -4230774 What is 4 less than 41513491765? 41513491761 What is the distance between -50422 and 3.91? 50425.91 What is -6913 less than -0.74425? 6912.25575 Total of -51428834 and -3. -51428837 What is the distance between 16 and -0.4558168? 16.4558168 Calculate -1 - 5.900325. -6.900325 Calculate 0.108 + 252234. 252234.108 Work out 1135433810 + 3. 1135433813 What is -9083806 + 8? -9083798 Add together 0.2 and 2305835490. 2305835490.2 Work out 2.89 + 0.735265. 3.625265 Total of 12793 and 192. 12985 What is -0.16 + 0.1082872? -0.0517128 Calculate -9534.23 + 4461. -5073.23 What is the difference between -0.3 and 112.6886817? 112.9886817 What is -0.1 plus 3.08517894? 2.98517894 Total of -1560 and 0.00524. -1559.99476 Calculate -0.6 - 6.36248. -6.96248 -0.0853+35195.4 35195.3147 What is 0.246 plus 0.0634317703? 0.3094317703 Subtract -0.2 from 1504976.3. 1504976.5 Put together -1 and 0.0514637923. -0.9485362077 What is 335 + -29189198? -29188863 Calculate 11584787 - -3.82. 11584790.82 0.3+50582539 50582539.3 8578.76 - 81732 -73153.24 Work out 6 + 3571124. 3571130 Put together 14566332 and -8. 14566324 -0.4 + -28089908 -28089908.4 What is 352.755 + -1.2? 351.555 What is the distance between -899 and 0.033749? 899.033749 What is the distance between 20517 and -5997? 26514 What is 2108 plus -520592? -518484 Calculate 0.4 - 9149862. -9149861.6 What is -0.5 plus 12378997296? 12378997295.5 Sum 0.3 and 8.4046935. 8.7046935 Subtract 17828 from -0.4502. -17828.4502 Calculate 0.2 + 10895.495. 10895.695 What is 662363200 plus 0? 662363200 Calculate 293.939241 - -0.024. 293.963241 14084152+-0.0109 14084151.9891 Add together 20831101174 and -1. 20831101173 Work out 45 - 0.01039. 44.98961 What is 12.42507 - 1853? -1840.57493 What is -456467 take away 687? -457154 Add -19145346 and 0.09. -19145345.91 Work out 151293544.6 - 4.8. 151293539.8 -123.4 + -33372737 -33372860.4 Calculate -0.4 + -9973.133. -9973.533 Work out -5 - -180928366. 180928361 What is -0.5 minus 30490386? -30490386.5 Sum 0.099497 and -6.58. -6.480503 Work out 4.6 + -38.23905. -33.63905 -60 - 0.35195501 -60.35195501 Work out -2 - 17199.511. -17201.511 Sum 25257973 and -126. 25257847 Subtract -203241473 from -0.2. 203241472.8 What is -5 plus 7249.73272? 7244.73272 What is the difference between 10372552 and 5? 10372547 Sum -0.06 and 580.1995368. 580.1395368 Calculate 20567 + -391938. -371371 Add together 508847 and 732. 509579 Calculate 3812052 + 3.58. 3812055.58 Subtract 5150694 from -925. -5151619 Add together -7702878 and -114. -7702992 Put together -265979 and 1113. -264866 Add -0.08 and 58.3303. 58.2503 Subtract 0.02255 from -16539. -16539.02255 What is 85 take away -508818? 508903 What is -194.16641 take away -1.015? -193.15141 -0.1464438+-11 -11.1464438 Calculate -0.5 - -672.94356. 672.44356 Add together -0.5 and -16636.808. -16637.308 Total of 276 and 60452597. 60452873 What is -3766 plus 18219? 14453 3.355533 - -3.671 7.026533 Subtract 1.1 from -1066.643223. -1067.743223 What is 221302096 plus 3? 221302099 Work out -0.8396458 + -0.909. -1.7486458 Calculate -32266 + -51635. -83901 Total of -610542 and -4056. -614598 What is the difference between 18 and 6704227? 6704209 What is -0.0511 take away -3552053? 3552052.9489 What is -62.27845 + 37? -25.27845 2015.74 + -347.4 1668.34 What is the distance between -8 and -663051722? 663051714 Calculate -126838.8 - 368. -127206.8 Calculate 0.01 - -3.14054. 3.15054 -9+-3585233.99 -3585242.99 What is -0.0347729 less than -79? -78.9652271 Work out 33021 - -16540. 49561 What is 0.266 plus -32621? -32620.734 2079.9725589 - -5 2084.9725589 What is the difference between -17705262 and -5? 17705257 -880868 - -38.7 -880829.3 Calculate -27.71875 - 1.4. -29.11875 What is -179.498168 - 0? -179.498168 What is -31254105 plus -0.059? -31254105.059 Add together -3361240244 and 0.5. -3361240243.5 Calculate -73415.884 + -221. -73636.884 Subtract 334 from 0.000327426. -333.999672574 Add 24 and 17960. 17984 Add together -2517 and -28521. -31038 -9985.073 - 178 -10163.073 55678.0669 + -8 55670.0669 What is -2464.528565 - -0.2? -2464.328565 What is 3038 less than -1.5338? -3039.5338 Work out 60935416 - -19. 60935435 Work out -0.07 - 0.1345748108. -0.2045748108 What is 6.041717 minus -602? 608.041717 Calculate 29663602 + 0.1. 29663602.1 What is -0.2 less than -619647? -619646.8 Add -0.04774172 and -0.0328. -0.08054172 What is 55438554 take away 0.5? 55438553.5 -22004+2085.3 -19918.7 What is the difference between -2267 and -80.967? 2186.033 -22137.7655 + 0.5 -22137.2655 What is -5262626 minus 1.4? -5262627.4 Subtract -2020.45 from 5264. 7284.45 What is 13584143 less than -68.2? -13584211.2 What is 0.2 plus 1267.92256? 1268.12256 What is 0.081713 take away 202? -201.918287 Add together 47024.4 and -2. 47022.4 Sum -1.439342003 and 0.01. -1.429342003 What is 1.1 take away 32.6543501? -31.5543501 -69634+1343519 1273885 What is 0.1 minus 7129340282? -7129340281.9 Put together 434 and 23.796. 457.796 What is -110321075155 + 0.3? -110321075154.7 What is 14314 take away 173.85? 14140.15 Calculate -11.01 + -0.863331. -11.873331 368 + 1136.802 1504.802 Put together 0.1 and -40.876793. -40.776793 Total of -203.7 and -3530. -3733.7 Add together -0.2 and -72884031. -72884031.2 Sum 87 and -186166. -186079 -8496702.797+-0.4 -8496703.197 -423098 - 93 -423191 Put together -377160641 and 1.5. -377160639.5 Add together 24 and 60342296. 60342320 Total of 365491.7762 and 0.2. 365491.9762 What is -1.424107 take away 4423? -4424.424107 Calculate -153564 - -315. -153249 Calculate 9913.7 - 9. 9904.7 Calculate 20387 + 0.023067. 20387.023067 What is the difference between -0.2 and -9256655190? 9256655189.8 Calculate 811198.1 - -1.5. 811199.6 What is 669.538 minus -343.2? 1012.738 Calculate 5 - 37365.2. -37360.2 What is -0.1825 take away 0.61964? -0.80214 Calculate -5799586.2 + 5. -5799581.2 What is 4 minus 3145771674? -3145771670 Sum -54930 and -51. -54981 Total of 399 and 20.6792. 419.6792 Calculate -3.9 - -48904671. 48904667.1 Subtract 976.5 from 2120. 1143.5 Work out -3957.9362 - 0.16. -3958.0962 What is 19125683 less than 37? -19125646 What is 88898389 take away 45? 88898344 What is the distance between -0.5 and -1031.4302? 1030.9302 Subtract 17 from -678163. -678180 Subtract 2157 from -3171. -5328 What is 0.02584 minus -11314? 11314.02584 Subtract 14.9030816 from -3. -17.9030816 -4 - 86337696 -86337700 Sum 76559547 and 1.26. 76559548.26 Work out -4 - -0.01517693. -3.98482307 What is 20556035 - 7? 20556028 Add together -3.661 and -18703850. -18703853.661 3 + -8167043 -8167040 What is the distance between -62 and 29483751.2? 29483813.2 What is 0.5 + 3582187? 3582187.5 4065190374 - -2 4065190376 Work out -1601434 + -1.37. -1601435.37 7573426 - -166 7573592 -3 - -22197.1358 22194.1358 What is -58434270 take away -81? -58434189 8812968273 - 5 8812968268 What is -37.248872 - 23? -60.248872 What is the distance between -897948 and 2.689? 897950.689 -6748 + 1115 -5633 What is the difference between -6017320 and -43.1? 6017276.9 What is -4 + -11695.9906? -11699.9906 Add 68 and 57835. 57903 What is -1.284995 + -3? -4.284995 What is -14726179 - 0.5? -14726179.5 4+54199.41 54203.41 Work out 1336.20818 + 0.1. 1336.30818 What is 25 - -18393669? 18393694 Total of 702739 and -35.5. 702703.5 What is 1 take away 7892985? -7892984 What is 0.0112 minus -0.02058764? 0.03178764 Work out -0.26 + 23911119. 23911118.74 What is -378.2219 - 5? -383.2219 Sum 0.033 and 6934099.2. 6934099.233 -0.4+-17815565 -17815565.4 What is -642 less than 274.31072? 916.31072 What is -10 minus 8
{ "pile_set_name": "DM Mathematics" }
for w. 4 Solve 532*z + 32 = 528*z for z. -8 Solve 234*r + 48 = 242*r for r. 6 Solve -365*y = 402*y - 6903 for y. 9 Solve -95*u = 286*u - 2667 for u. 7 Solve -11 = 8*a + 22 - 17 for a. -2 Solve 1352 = -229*h - 2541 for h. -17 Solve 62*x = 230*x + 127*x - 8260 for x. 28 Solve -1872*j + 280 = -1832*j for j. 7 Solve 55*d + 2 = 497 for d. 9 Solve 21*b + 930 = 52*b + 124*b for b. 6 Solve -13*h - 10*h + 156 = -49*h for h. -6 Solve -497 = 19*k + 12*k + 185 for k. -22 Solve -202*i = 201*i - 401*i + 24 for i. -12 Solve 0 = 668*k + 6102 + 1246 for k. -11 Solve -18*o - 145*o = 268*o - 8620 for o. 20 Solve -5 = 95*u - 94*u + 6 for u. -11 Solve 0 = -25*k - 511 + 416 + 320 for k. 9 Solve 215*i = 209*i + 90 for i. 15 Solve -352*n - 6*n = -112*n - 2214 for n. 9 Solve -160 = 10595*d - 10611*d for d. 10 Solve 90 = 933*b - 903*b for b. 3 Solve 129*m + 112*m = -1197 - 731 for m. -8 Solve 41*t - 14239 + 13788 = 0 for t. 11 Solve 688 + 3218 = -217*s for s. -18 Solve -12*z + 142 = 466 for z. -27 Solve -103221*z = -103186*z - 70 for z. 2 Solve -405 = 334373*p - 334328*p for p. -9 Solve 0 = -305*j + 7124 - 15664 for j. -28 Solve 36*j - 54*j - 165 = 15*j for j. -5 Solve 32*v + 66*v - 686 = 0 for v. 7 Solve 0 = 28298*y - 28331*y + 198 for y. 6 Solve -921 = 106*l + 75*l + 1975 for l. -16 Solve -15*s - 822 = -957 for s. 9 Solve 106*q - 182*q = 304 for q. -4 Solve -8*d - 200 = -32*d - 26*d for d. 4 Solve 1034*h - 17816 = 17222 + 118 for h. 34 Solve -55*h - 18 + 276 = 38 for h. 4 Solve 0 = -1143*s + 572*s + 573*s + 34 for s. -17 Solve -1253*h = -1218*h - 1260 for h. 36 Solve -609*s + 684 = -573*s for s. 19 Solve -20*h - 25 = -253 + 148 for h. 4 Solve -182*n - 1968 = 25*n + 39*n for n. -8 Solve -74 - 1014 + 62 = 54*m for m. -19 Solve 35325 = 795*x + 618*x for x. 25 Solve 13*d + 10*d - 88 = d for d. 4 Solve -24*r + 772 = 362*r for r. 2 Solve 316 - 451 = -y - 8*y for y. 15 Solve 3996 = -273*b + 1003*b - 384 for b. 6 Solve -23*o + 28*o = -6*o + 11 for o. 1 Solve 29*u - 248 = -33*u for u. 4 Solve 358*u + 1169 = -263 for u. -4 Solve 182*m - 7004 = -230*m for m. 17 Solve 223 - 119 = 13*a for a. 8 Solve -1930 = 169*k + 1398 - 624 for k. -16 Solve 0 = -77*t + 92 - 1016 for t. -12 Solve -2*a - a - 646 = -37*a for a. 19 Solve -2169*w - 1347 = -1720*w for w. -3 Solve -8*l + 2688 = 65*l + 39*l for l. 24 Solve 2396*s - 1195*s = 1214*s + 52 for s. -4 Solve 170*s = -4942 + 5622 for s. 4 Solve -18*j - 63 + 9 = 0 for j. -3 Solve 15706*y - 15732*y + 52 = 0 for y. 2 Solve 2335*d = 2353*d - 216 for d. 12 Solve 103*h - 35 = 1245 + 780 for h. 20 Solve 0 = -145*r - 943 - 481 - 171 for r. -11 Solve -22*j + 230 = 54*j - 1290 for j. 20 Solve 557 - 208 = 349*q for q. 1 Solve -28*f - 504 - 129 = -157 for f. -17 Solve 9*v - 45 = 13*v - 7*v for v. 15 Solve -44*i + 96*i + 832 = 0 for i. -16 Solve -2*c - 2*c - 6 = -14 for c. 2 Solve -325*s - 9127 = -7177 for s. -6 Solve 773 - 279 = 69*f - 403 for f. 13 Solve -3334*v + 3320*v = -280 for v. 20 Solve 996*q = 1005*q + 45 for q. -5 Solve 3*j - 153 = -16*j + 132 for j. 15 Solve 0 = 7*r - 30*r - 230 for r. -10 Solve 0 = -141*z + 1089 + 462 for z. 11 Solve 43*l + 3*l + 1238 = 1560 for l. 7 Solve 727*w - 775*w = 480 for w. -10 Solve -36*q - 8047 = -5*q - 8357 for q. 10 Solve -256571*x + 256637*x + 66 = 0 for x. -1 Solve -4912 = 590*l + 10428 for l. -26 Solve -17 - 126 + 31 = 28*h for h. -4 Solve 31666 = 35*y + 31876 for y. -6 Solve -126*z - 336 = -305*z + 151*z for z. 12 Solve -556*b + 12 - 57 = -551*b for b. -9 Solve -104*u - 166 = -1414 for u. 12 Solve -38 + 68 = 30*f for f. 1 Solve 0 = 39*l - 344 + 43 - 245 for l. 14 Solve 221 = 31*x + 9*x - 859 for x. 27 Solve -71 = -279*z + 407 + 2591 for z. 11 Solve 17 = 51*f - 316 - 24 for f. 7 Solve 3*j + 16 - 6 = 4 for j. -2 Solve -183*r + 1 = -184*r for r. -1 Solve 94 - 133 = -3*p for p. 13 Solve 102*z + 443 - 206 = 23*z for z. -3 Solve -3706 = 113*b - 610*b + 2755 for b. 13 Solve 0 = 33*y - y - 13*y - 247 for y. 13 Solve 44*c + 306 = 759 + 603 for c. 24 Solve 0 = 166*c + 213*c + 143*c + 4698 for c. -9 Solve 15710 + 27761 = 1499*j for j. 29 Solve 480 = -75445*x + 75415*x for x. -16 Solve 982*m = 970*m + 72 for m. 6 Solve -223*w - 272 = -207*w for w. -17 Solve -159*l + 64 + 62 = -141*l for l. 7 Solve -48*c + 17*c = 68*c + 297 for c. -3 Solve -h + 16*h = -101 - 19 for h. -8 Solve 1560 = 817*w - 973*w for w. -10 Solve 800*w - 5694 = 581*w for w. 26 Solve -133*m - 33*m = 1826 + 166 for m. -12 Solve 38*l - 12*l + 17*l = 1204 for l. 28 Solve 334*d - 34 = 317*d for d. 2 Solve 713*j - 722*j - 261 = 0 for j. -29 Solve 157*u - 204*u - 470 = 0 for u. -10 Solve -191 - 2733 = 28*p + 144*p for p. -17 Solve -23*h = -2*h + 41 - 83 for h. 2 Solve 11680 = -441*s - 727*s for s. -10 Solve -77*w - 1492 + 183 = 0 for w. -17 Solve 0 = 106*s - 33*s - 13*s + 480 for s. -8 Solve 270*k - 314*k - 320 - 1396 = 0 for k. -39 Solve -4464 + 4200 = 12*x for x. -22 Solve -20 - 211 = -77*d for d. 3 Solve 959*n = 981*n - 154 for n. 7 Solve -342*l + 271*l - 1349 = 0 for l. -19 Solve 7250 = -236*d + 141*d - 195*d for d. -25 Solve 15*j + 189 + 231 = 0 for j. -28 Solve -503*h = -759*h + 4608 for h. 18 Solve -6669 = 45*m + 468*m for m. -13 Solve -14603*z + 14644*z = -533 for z. -13 Solve -6*t - 208*t - 2424 - 2712 = 0 for t. -24 Solve 168 - 1 = 49*z - 176 for z. 7 Solve 114*v - 108 + 71 = 647 for v. 6 Solve -129*j = -118*j + 11 for j. -1 Solve -32*b = 137*b - 3329 + 3160 for b. 1 Solve -757 = -76*j - 1213 for j. -6 Solve 10*j - 73 - 80 = j for j. 17 Solve -1428*h + 1350 = -1338*h for h. 15 Solve -4*c - 1061 = -1089 for c. 7 Solve 217*y + 546 = -56*y for y. -2 Solve -1020 = -27*k - 483*k for k. 2 Solve -60*m + 77*m = 153 for m. 9 Solve -12*z + 363 = -133*z for z. -3 Solve -70*w + 359 = 709 for w. -5 Solve -15*h = -h - 77*h + 630 for h. 10 Solve -7*q - 86 + 175 = 82 for q. 1 Solve 29*o - 239 + 17 = 126 for o. 12 Solve -1969*d - 726 = -3889*d + 1953*d for d. -22 Solve -10795 = 23*g - 10542 for g. -11 Solve 281 = -68*p + 71 - 402 for p. -9 Solve 388*p + 3651 = -2549 + 1156 for p. -13 Solve 275*g - 102*g - 133*g + 200 = 0 for g. -5 Solve 44*d + 1520 = 11*d - 62*d for d. -16 Solve -113*l + 1736 = 68*l - 74 for l. 10 Solve -13*x + 187 + 44 - 23 = 0 for x. 16 Solve 56 + 91 = 174*i - 181*i for i. -21 Solve -464*v + 163*v = -1204 for v. 4 Solve -205 = -40*c - 125 for c. 2 Solve 0 = -115*p + 20*p - 475 for p. -5 Solve 67*d = 40*d + 162 for d. 6 Solve 77 - 259 = 11*a + 5 for a. -17 Solve -996*b - 357 = -975*b for b. -17 Solve 18*g + 56 = -4*g - 76 for g. -6 Solve 11572 = -100*f + 15072 for f. 35 Solve 50*l + 91*l - 4680 = -93*l for l. 20 Solve 15*w + 130 = -w + 3*w for w. -10 Solve 61*z = -56325 + 54434 for z. -31 Solve -4896*u - 72 = -4968*u for u. 1 Solve 9249 - 9669 = -60*k for k. 7 Solve -122*g = 180*g + 280*g - 1746 for g. 3 Solve -w + 2*w = -1 for w. -1 Solve 1190 = 150*l - 160 for l. 9 Solve -465*v + 1652*v - 6871 - 15682 = 0 for v. 19 Solve -28*a = -2*a + 6*a + 320 for a. -10 Solve 0 = 53*s - 1108 + 260 for s. 16 Solve -317 = 14*z + 76*z + 673 for z. -11 Solve 1041 = -157*n - 1314 for n. -15 Solve 0 = -136*v - 8*v + 1584 for v. 11 Solve 3*p - p - 105 = -3*p for p. 21 Solve 671*f - 18711 = -1030*f for f. 11 Solve -10*y + 250*y = 609 + 1551 for y. 9 Solve 0 = -481*i + 201 + 8457 for i. 18 Solve -33*t + 11*t = -39*t + 306 for t. 18 Solve 21*v + 91 + 392 = 0 for v. -23 Solve -97*l - 612 - 124 - 331 = 0 for l. -11 Solve p = 20*p + 50 + 83 for p. -7 Solve 0 = -131*b - 256*b + 7353 for b. 19 Solve 0 = -85*y + 139*y - 80*y + 312 for y. 12 Solve 104*i + 97 + 45 + 274 = 0 for i. -4 Solve 12*g - 1121 + 1037 = 0 for g. 7 Solve -470*q - 459*q = -940*q + 11 for q. 1 Solve 7*q + 4260 = 4365 for q. 15 Solve -78*v + 97*v + 66*v = -1105 for v. -13 Solve 103*j + 10*j + 10*j = -1722 for j. -14 Solve 0 = -193*s - 166 + 4026 for s. 20 Solve 93 + 381 = 79*q for q. 6 Solve -383*y - 11302 = -1344 for y. -26 Solve -1664*q - 2261 = -1531*q for q. -17 Solve 313*r + 80 = -312*r + 633*r for r. 10 Solve 1068*n = 1053*n + 120 for n. 8 Solve -5837 = 896*i + 12071 - 3572 for i. -16 Solve -21558*r - 234 = -21532*r for r. -9 Solve 104 + 108 = -30*n - 88 for n. -10 Solve 329*i + 4905 = 1164 - 5142 for i. -27 Solve 320 = -314*f - 262 - 3500 for f. -13 Solve -8280 = 53*p + 292*p for p. -24 Solve 55 -
{ "pile_set_name": "DM Mathematics" }
3*v**4 + v**5 + 0 = 0. Calculate v. -1, 1 Suppose 0 = h - k, -5*h + 0*k = 4*k - 27. Factor 1/3*d**4 + 0*d + 4/3*d**2 + 4/3*d**h + 0. d**2*(d + 2)**2/3 Let g be (-1)/4 - (-9)/12. Let h(k) be the first derivative of -1 - 2*k + 1/3*k**3 - g*k**2. Suppose h(r) = 0. Calculate r. -1, 2 Let l(h) be the third derivative of h**8/10080 - h**5/60 + 3*h**2. Let m(u) be the third derivative of l(u). Suppose m(a) = 0. What is a? 0 Let s(y) = -2*y**4 + 11*y**3 - 5*y - 5. Let a(m) = -m**4 + 10*m**3 - 4*m - 4. Let x(d) = 5*a(d) - 4*s(d). Factor x(f). 3*f**3*(f + 2) Let a = 365/3 + -121. Find w such that 2/3*w**2 - a*w - 4/3 = 0. -1, 2 Let m be (-12)/(-7) + (-22)/(-77). Let a(d) be the first derivative of 1/3*d**3 + 4/5*d**5 + 0*d**2 + m + 0*d - d**4. Determine s so that a(s) = 0. 0, 1/2 Suppose 7*i = 12*i - 20. Factor 48*d + i*d**2 - 4*d**4 - 40*d - 5*d**3 - 3*d**3. -4*d*(d - 1)*(d + 1)*(d + 2) Let d(v) be the third derivative of v**5/80 + v**4/4 + 2*v**3 + 19*v**2. Suppose d(x) = 0. What is x? -4 Let d(i) = -i**3 + 3*i**2 + 5*i + 1. Let w be d(-1). Suppose 3*t = 2*f + 4, -7*f = 2*t - 3*f - 8. Determine z, given that 2/3*z**t + w + 4/9*z = 0. -2/3, 0 Suppose i = 6*i - 4*x - 31, 2*x = 3*i - 17. Suppose i*j - 2*t - 2 = 0, -3*j - 2*t + 3 = -7. Factor a**4 + 3*a**2 - a**j - 3*a**2. a**2*(a - 1)*(a + 1) Let k be ((-132)/495)/(4/(-18)). What is x in -k*x + 0 - 3/5*x**2 = 0? -2, 0 Let p = 9 - 8. Let t be (p + -1)/(11/11). Determine l so that 1/4*l**2 + 0*l + t = 0. 0 Let z(r) = -980*r**3 + 436*r**2 + 464*r + 64. Let j(u) = -196*u**3 + 87*u**2 + 93*u + 13. Let b(s) = -16*j(s) + 3*z(s). What is c in b(c) = 0? -2/7, 1 Let t(i) = i**4 - i**3 + i**2 - 1. Let o(a) = 5*a**4 - 4*a**3 - 2*a**2 + 8*a - 7. Let u(y) = 5*o(y) - 20*t(y). Determine j, given that u(j) = 0. -3, 1 Factor -38*f - 18*f**2 + 24 + 9*f - 25*f + 3*f**2. -3*(f + 4)*(5*f - 2) Let b be ((-1)/(-2))/(((-10)/(-12))/5). Factor 4/3*j + 0 + 14/3*j**2 - 6*j**b. -2*j*(j - 1)*(9*j + 2)/3 Let r(y) be the third derivative of 3*y**8/112 - 2*y**7/35 - y**6/24 + y**5/5 - y**4/6 - 16*y**2. Factor r(a). a*(a - 1)*(a + 1)*(3*a - 2)**2 Let l(i) = -2*i**2 - 28*i + 3. Let b be l(0). Factor -2/3*w**2 + 2/3 + 1/3*w - 1/3*w**b. -(w - 1)*(w + 1)*(w + 2)/3 Let t(d) be the second derivative of -d**4/72 + d**3/36 + 6*d. Factor t(z). -z*(z - 1)/6 Let l(x) be the first derivative of -x**6/2 + 6*x**5/5 + 3*x**4 - 8*x**3 - 50. Determine t so that l(t) = 0. -2, 0, 2 Let k be (-2)/(-10) - (-48)/10. Suppose -2 - 5*c**2 + c**3 - 3*c + k*c**2 = 0. Calculate c. -1, 2 Suppose -5*u = -9*u + 8. Let v be 10/(-5) - (-5)/u. Factor -v - 1/2*o**2 - o. -(o + 1)**2/2 Let z = 96/11 + -266/33. Find u, given that 1/3*u - 2/3 + z*u**2 - 1/3*u**3 = 0. -1, 1, 2 Let i(b) be the third derivative of b**6/200 - b**5/100 - b**4/40 + b**3/10 + 11*b**2. Factor i(o). 3*(o - 1)**2*(o + 1)/5 Suppose 3*q - q - 6 = 0. Factor 3 + b**3 - 15*b - 11*b**q + 21*b**2 + b**3. -3*(b - 1)**2*(3*b - 1) Let r be 1 - (-1 - -1) - 23. Let u = r - -89/4. Let -1/2*j**2 + 0 + 1/4*j**3 + u*j = 0. What is j? 0, 1 Factor 4/5*l**3 + 0*l**2 - 12/5*l - 8/5. 4*(l - 2)*(l + 1)**2/5 Suppose 4*d - 4 = 2*b + 4, 2 = b. Determine s, given that 2 + 0*s**3 + 1 + s**d + 5*s**2 + 7*s = 0. -3, -1 Factor 0 - 5/4*b**2 + 1/2*b + 1/4*b**4 - 1/4*b**5 + 3/4*b**3. -b*(b - 1)**3*(b + 2)/4 Factor 2/5*x - 2/5*x**3 + 2/5*x**2 - 2/5. -2*(x - 1)**2*(x + 1)/5 Suppose -5*j - 28 = -8*j - 5*t, -t = 4. Let k be 3/(-2*(-6)/j). Factor u + 6*u**3 - 2*u**2 + u**5 - 7*u**4 + 3*u**k - 2*u**2. u*(u - 1)**4 Let c = 321 - 961/3. Factor 1/3*o + 0*o**3 - 2/3*o**2 + c*o**4 + 0 - 1/3*o**5. -o*(o - 1)**3*(o + 1)/3 Suppose 33 - 133 = -5*o. Factor o*l**4 - 23*l**4 + 4 + 6*l**3 - 6*l - 1. -3*(l - 1)**3*(l + 1) Let y(j) be the third derivative of -j**8/1512 - 4*j**7/945 - j**6/108 - j**5/135 - 5*j**2. Find s, given that y(s) = 0. -2, -1, 0 Let r(g) be the second derivative of -g**7/63 + 2*g**5/15 - 11*g. Find q such that r(q) = 0. -2, 0, 2 Suppose 3*m - 19 - 17 = -3*t, -3*t = -m - 24. Suppose 3*z - 3*j + t = 2*z, 0 = -5*z - 3*j + 9. Factor z - 3*q**2 + 0 + 3. -3*(q - 1)*(q + 1) Let z(r) = 17*r**4 - 6*r**3 + 5*r**2 + 17*r. Let g(b) = b**2 - 9*b**4 + 0*b**2 - 9*b + 5*b**3 - 4*b**2 - 2*b**3. Let q(y) = 11*g(y) + 6*z(y). Factor q(f). 3*f*(f - 1)**2*(f + 1) Let z(r) be the third derivative of -r**5/150 - r**4/60 + 6*r**2. Factor z(a). -2*a*(a + 1)/5 Suppose 2*g - 1 - 41 = 0. Factor 21*c + g*c**2 + 8 + 6*c**3 + 0 - 2. 3*(c + 1)*(c + 2)*(2*c + 1) Let q be (-4)/((-16)/4)*(-1)/(-3). Let -q*k**3 + 2/3*k + 0 + 1/3*k**2 = 0. What is k? -1, 0, 2 Let x(l) = -10*l**5 + 13*l**4 + 10*l**3 - 12*l**2 + 3. Let o(v) = 2*v**5 - v**5 - v**3 + 6*v**4 - 7*v**4. Let s(t) = -4*o(t) - x(t). Factor s(w). 3*(w - 1)**3*(w + 1)*(2*w + 1) Let u be (56/12)/(2/6). Let v(w) = -5*w**2 - 2*w. Let d(r) = 2*r**2 + r. Let s(j) = u*d(j) + 6*v(j). Factor s(h). -2*h*(h - 1) Let j(m) be the second derivative of 1/12*m**4 - 1/30*m**6 + 0 + 0*m**3 - 1/5*m**5 + 0*m**2 + 2/21*m**7 + 7*m. What is p in j(p) = 0? -1, 0, 1/4, 1 Determine n, given that -4/7*n + 0 - 2/7*n**2 = 0. -2, 0 Let o(d) = d**5 - d**4. Let v(l) = 6*l**3 + 213*l**5 - 212*l**5 - l**4 - 4*l**2 - 2*l**3. Let c(u) = -6*o(u) + 3*v(u). Suppose c(n) = 0. Calculate n. -2, 0, 1, 2 Find c, given that 1 + 2*c**3 - c**4 - 3 - c + 0*c - c**3 + 3*c**2 = 0. -1, 1, 2 Let z be 2/(-8) - (1108/240 - 5). Let x(v) be the second derivative of -z*v**6 + 1/21*v**7 + 0*v**2 - 1/3*v**3 - 3*v + 0*v**5 + 0 + 1/3*v**4. Factor x(f). 2*f*(f - 1)**3*(f + 1) Let s = 1/16 + 23/16. Factor 3*l - s*l**2 + 0. -3*l*(l - 2)/2 Solve 0 + 0*i - 2/3*i**5 + 2/3*i**2 + 2/3*i**3 - 2/3*i**4 = 0 for i. -1, 0, 1 Let q = -40 - -80. Suppose 0 = -3*d + 7*d - q. Determine i, given that 4*i - 6*i**2 + 0*i + d*i**3 - 3*i - 5*i = 0. -2/5, 0, 1 Let q be 20/11 - (-7)/((-308)/(-8)). Factor 4/9 - 2/9*c - 2/9*c**q. -2*(c - 1)*(c + 2)/9 Let f(x) = -x + 12. Let h be f(9). Suppose 4*t - 4*t + 0*t - t**2 + h*t = 0. Calculate t. 0, 3 Suppose 8*b - 60 = -12*b. Let v(k) be the second derivative of 2/9*k**3 + b*k - 7/60*k**5 + 0*k**2 + 0 - 1/3*k**4. Solve v(i) = 0. -2, 0, 2/7 Suppose -4*w = -4*m + 3*m + 1, 0 = -5*m + 4*w + 37. Factor 6*l - 4 + m*l**3 - 19*l**3 + 8*l**3. -2*(l - 1)**2*(l + 2) Factor 4/5 + 1/5*d**3 + 8/5*d + d**2. (d + 1)*(d + 2)**2/5 Solve -z**2 + z + 0*z**3 + 0*z**2 - z**3 + 1 = 0. -1, 1 Let s(w) be the first derivative of w**5/20 - 3*w**4/16 + w**3/6 + 25. Factor s(m). m**2*(m - 2)*(m - 1)/4 Suppose -3*k = 2 - 11. Suppose f + k*f - 8 = 0. Factor 3*h**2 - 6*h**4 + 4*h - h**f - 4*h**3 + 8*h**2 - 4*h**2. -2*h*(h - 1)*(h + 1)*(3*h + 2) Suppose 0 = -3*k - r + 1, 0 = -2*k + 3*r + 19. Let o be (-3)/6 + 5/k. Determine b, given that 2*b**4 + b**3 - b - b**4 + 0*b**o - b**2 = 0. -1, 0, 1 Find x, given that 0 + 2/15*x**4 - 2/15*x**2 - 2/5*x**3 + 2/5*x = 0. -1, 0, 1, 3 Let u = -54 + 57. Determine r, given that 3*r - 7/4*r**u + 9/4*r**2 - 1 = 0. -1, 2/7, 2 Factor -2/5 + 13/5*k + 3*k**2. (k + 1)*(15*k - 2)/5 Suppose 2*t = -g + 7, 2*t = g - 3*t. Let s(i) be the third derivative of 0*i**4 + 0*i**3 + 0*i + 2*i**2 + 0 - 1/150*i**g. Factor s(n). -2*n**2/5 Let 9/4*k + 3/4*k**3 + 3/4 + 9/4*k**2 = 0. What is k? -1 Let w(d) = -4*d + 3. Let y be w(-3). Suppose -3*t = 2*t - y. Determine k, given that -k**2 + 0*k + 10 - 10 + 2*k - k**t = 0. -2, 0, 1 Let y(p) be the first derivative of -1/9*p**2 + 2/9*p**3 + 2/45*p**5 + 0*p + 1 - 1/6*p**4. Suppose y(l) = 0. Calculate l. 0, 1 Determine k so that 1/4*k**2 + 0 + 1/2*k = 0. -2, 0 Let a(b) be the first derivative of -2*b**5/65 + b**4/13 - 2*b**3/39 + 19. What is h in a(h) = 0? 0, 1 Factor 4/7*a**3 - 1/7*a + 0 + 0*a**2. a*(2*a - 1)*(2*a + 1)/7 Let j = -20 - -31. Let q be ((-6)/5)/((-6)/(-20)). Let m(l) = 5*l**3 - l - 4. Let x(p) = 14*p**3 - 3*p - 11. Let c(v) = j*m(v) + q*x(v). Factor c(t). -t*(t - 1)*(t + 1) Suppose a - 19 = -2*g + 5, a = 4*g - 48. Let m be 4/g - 1/3. Factor 2*r + m*r - r**3 + r**2 - r**4 - r. -r*(r - 1)*(r + 1)**2 Let b(l) be the third derivative of -1/45*l**6 + 1/15*l**5 + 1/9*l**3 + 1/315*l**7 - 1/9*l**4 + 0 + l**2 + 0*l. Factor b(d). 2*(d - 1)**4/3 Let m(i) = i**3 + 5*i**2 - i - 5. Let t(b) = 2*b**3 + 16*b**2 - 2*b - 16. Let k(s) = 11*m(s) - 4*t(s). Factor k(y). 3*(y - 3)*(y - 1)*(y + 1) Let c(y) be the first derivative of 0*y + 0*
{ "pile_set_name": "DM Mathematics" }
nce ff. 1/2 Calculate prob of sequence ppyy when four letters picked without replacement from pyppyppppypyyyyyyppy. 45/646 What is prob of sequence sbro when four letters picked without replacement from roscb? 1/120 Two letters picked without replacement from {s: 2, g: 4, w: 3, u: 4, d: 1}. Give prob of sequence ds. 1/91 What is prob of sequence mq when two letters picked without replacement from {n: 4, q: 3, m: 7, j: 4}? 7/102 What is prob of sequence fooo when four letters picked without replacement from {f: 2, e: 1, o: 4}? 2/35 What is prob of sequence mlg when three letters picked without replacement from {n: 1, g: 1, m: 2, l: 1}? 1/30 What is prob of sequence yw when two letters picked without replacement from {a: 10, w: 4, x: 1, y: 2}? 1/34 Two letters picked without replacement from {j: 7, h: 2, f: 6}. What is prob of sequence hj? 1/15 Three letters picked without replacement from sjjjsjjj. What is prob of sequence ssj? 1/28 Four letters picked without replacement from {c: 2, t: 2, j: 1, n: 12, y: 2}. Give prob of sequence ntcj. 1/1938 What is prob of sequence gg when two letters picked without replacement from ggee? 1/6 Two letters picked without replacement from {a: 1, q: 14, t: 1}. Give prob of sequence qa. 7/120 Three letters picked without replacement from kakgakakaakkaa. Give prob of sequence kkk. 5/91 Two letters picked without replacement from wgarbwgooaaow. What is prob of sequence ob? 1/52 Calculate prob of sequence ss when two letters picked without replacement from rossdrrdsddorodsdsd. 10/171 Calculate prob of sequence np when two letters picked without replacement from {p: 1, n: 2, z: 1, u: 1, g: 1, v: 1}. 1/21 Calculate prob of sequence gpjb when four letters picked without replacement from bpjjgvb. 1/210 Calculate prob of sequence ic when two letters picked without replacement from {c: 1, i: 1, y: 2}. 1/12 Three letters picked without replacement from lqkzlllql. What is prob of sequence qqk? 1/252 Four letters picked without replacement from nevnneveevenn. Give prob of sequence nvve. 5/572 Four letters picked without replacement from agasnlln. What is prob of sequence nasg? 1/420 Three letters picked without replacement from zjgddbe. What is prob of sequence dje? 1/105 Calculate prob of sequence oc when two letters picked without replacement from oooc. 1/4 What is prob of sequence xx when two letters picked without replacement from {x: 3, d: 1}? 1/2 Calculate prob of sequence py when two letters picked without replacement from {p: 6, y: 4}. 4/15 Two letters picked without replacement from dyocdso. What is prob of sequence sy? 1/42 Calculate prob of sequence ww when two letters picked without replacement from wwwwwwgwwwwwwwwwwww. 17/19 Calculate prob of sequence vfww when four letters picked without replacement from gffawffhgfgffhvvgwfv. 2/4845 Two letters picked without replacement from {a: 4, f: 2, x: 1, z: 1}. What is prob of sequence xf? 1/28 Two letters picked without replacement from {d: 2, a: 1, x: 4, i: 10}. What is prob of sequence xa? 1/68 What is prob of sequence kk when two letters picked without replacement from kkkkkkkkdkkddkkkkkkk? 68/95 Four letters picked without replacement from {d: 2, t: 3}. What is prob of sequence tdtt? 1/10 Two letters picked without replacement from njjnncjnjxj. What is prob of sequence cn? 2/55 What is prob of sequence em when two letters picked without replacement from {e: 1, m: 2}? 1/3 Two letters picked without replacement from yrynryyyyyynnyyyyry. Give prob of sequence ry. 13/114 Calculate prob of sequence qp when two letters picked without replacement from {e: 3, j: 6, p: 1, q: 5}. 1/42 Two letters picked without replacement from {g: 3, a: 2, b: 2, y: 4}. What is prob of sequence gb? 3/55 Three letters picked without replacement from nyyynnyyfny. Give prob of sequence yfn. 4/165 What is prob of sequence zwwz when four letters picked without replacement from {z: 5, w: 3, u: 4}? 1/99 Calculate prob of sequence pe when two letters picked without replacement from ppopvvvgvvplpoeev. 5/136 Two letters picked without replacement from {i: 1, f: 11, t: 3}. Give prob of sequence it. 1/70 Three letters picked without replacement from vqyvvyvsyyvasbv. Give prob of sequence bya. 2/1365 Three letters picked without replacement from ekekeqqqkekrqqa. What is prob of sequence qqe? 8/273 Two letters picked without replacement from {j: 2, u: 1}. What is prob of sequence uj? 1/3 Three letters picked without replacement from {b: 2, e: 5, l: 6, c: 2, r: 1, w: 1}. Give prob of sequence erc. 1/408 Calculate prob of sequence bg when two letters picked without replacement from gbgggbggggg. 9/55 Two letters picked without replacement from {n: 11, p: 2}. Give prob of sequence pn. 11/78 Three letters picked without replacement from {q: 2, o: 9, r: 6}. Give prob of sequence rqo. 9/340 What is prob of sequence ffff when four letters picked without replacement from {x: 2, k: 1, f: 2}? 0 Calculate prob of sequence gaai when four letters picked without replacement from {a: 7, i: 1, m: 4, g: 2}. 1/286 Two letters picked without replacement from {f: 18, l: 1}. Give prob of sequence ff. 17/19 What is prob of sequence axx when three letters picked without replacement from xajvax? 1/30 What is prob of sequence ffhf when four letters picked without replacement from fhhfhfhhffhhfhfhhhh? 35/1292 What is prob of sequence ooj when three letters picked without replacement from ooojmccjjococjcjmmom? 5/228 Calculate prob of sequence gnnn when four letters picked without replacement from {u: 2, y: 8, g: 2, n: 2}. 0 Four letters picked without replacement from qddomlm. Give prob of sequence mdod. 1/210 Two letters picked without replacement from yddd. Give prob of sequence yd. 1/4 Three letters picked without replacement from {x: 1, u: 1, i: 2, p: 3, h: 1, t: 8}. Give prob of sequence iup. 1/560 Two letters picked without replacement from {k: 5, d: 2}. Give prob of sequence kk. 10/21 Two letters picked without replacement from {s: 1, l: 4, b: 6}. What is prob of sequence bs? 3/55 What is prob of sequence us when two letters picked without replacement from usrsaaswarl? 3/110 Four letters picked without replacement from {r: 4, v: 3}. What is prob of sequence vrrr? 3/35 What is prob of sequence xd when two letters picked without replacement from ygfgxdhx? 1/28 Two letters picked without replacement from kchfi. Give prob of sequence fk. 1/20 Four letters picked without replacement from {p: 4, s: 2, b: 1, n: 1}. Give prob of sequence nbpp. 1/140 Two letters picked without replacement from {q: 1, i: 1, v: 1, e: 1, f: 1, x: 2}. Give prob of sequence fv. 1/42 What is prob of sequence vvhi when four letters picked without replacement from quqvccqhciccchhvqqiq? 1/9690 Three letters picked without replacement from {s: 1, y: 8, t: 2, p: 4}. What is prob of sequence spy? 16/1365 Calculate prob of sequence zs when two letters picked without replacement from zrs. 1/6 Calculate prob of sequence im when two letters picked without replacement from immuu. 1/10 Two letters picked without replacement from yfpmyyv. Give prob of sequence pm. 1/42 Two letters picked without replacement from gtg. What is prob of sequence gt? 1/3 Four letters picked without replacement from lqjljjjl. Give prob of sequence jjql. 3/140 What is prob of sequence qv when two letters picked without replacement from vvvqcvfvvfvqv? 4/39 What is prob of sequence xvaz when four letters picked without replacement from ekeeaekkevzxk? 1/17160 Two letters picked without replacement from vpyjvyvpvvpgrpp. What is prob of sequence gy? 1/105 Two letters picked without replacement from {x: 3, u: 4, h: 1, d: 1, p: 7}. What is prob of sequence xh? 1/80 Calculate prob of sequence xjan when four letters picked without replacement from jjnlxaj. 1/280 What is prob of sequence frb when three letters picked without replacement from rfrrbfrbrbfrfrfbr? 2/51 Two letters picked without replacement from {p: 1, n: 2, i: 1, a: 3, h: 11, v: 1}. What is prob of sequence np? 1/171 What is prob of sequence tttt when four letters picked without replacement from ttttt? 1 Two letters picked without replacement from uktnnu. Give prob of sequence nk. 1/15 What is prob of sequence kww when three letters pi
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of j(4)? 2 Suppose c - a - 7 = 0, c - 13 = 2*a + 2*a. Suppose c*f + 20 = 5*b, 4*f = -b + 13 - 4. Suppose -4 = l - 6, b*l - 34 = -3*p. What is the units digit of p? 8 Suppose 0 = 5*w - 64 - 71. Let l = w - -11. What is the units digit of l? 8 Suppose -42*z + 2376 + 17994 = 0. What is the tens digit of z? 8 Let h be (-34)/119 + 74/14. Suppose -l = -0*l + 2. Let z = l + h. What is the units digit of z? 3 Let l = 10 - -1. Let r(w) = w**3 + w**2 + 2*w + 4. Let o be r(-2). What is the tens digit of (-8)/o*(l + -2)? 1 Let d(w) = -3*w**2 + 3*w - 3. Let y be d(4). Let f(c) = -6*c + 9. Let g be f(-1). Let z = g - y. What is the tens digit of z? 5 Let j(m) = 2*m + 20. Let i be j(-7). What is the units digit of (i/(-1))/6 + 145? 4 Suppose 0 = 2*t - 6*t + 4*d + 4, -14 = t + 4*d. Let c be (-1 - -4) + t/(-1). Suppose -c*a = -a - 12. What is the units digit of a? 3 Suppose -4*u = 4*d, 0 = 5*u + 4*d - 5 + 3. Let a = 4 + 18. Let h = u + a. What is the units digit of h? 4 Let f = 43 + -38. Suppose -2*n = -f*n + 162. What is the tens digit of n? 5 Let g = 1 + -1. Suppose 2*t + 2 = -0*t + u, g = -4*u. Let b(r) = -48*r**3 + r**2 + 2*r + 1. What is the units digit of b(t)? 8 Suppose -14*a + 12*a = 0. Let u be (a - -1) + (-162)/(-3). Let r = u - 27. What is the units digit of r? 8 Let b(t) = 9 - 2*t - 6*t - 13. What is the units digit of b(-6)? 4 Let x = 34 - 34. Suppose x = w - 4, 4*w = 2*y - 130 - 186. What is the tens digit of y? 6 Suppose 3*k + 25 = 109. Let y = k - 25. Suppose -y*o = -11*o + 576. What is the tens digit of o? 7 Suppose -295 = -c - 0*c + t, -4*t + 1140 = 4*c. Suppose s + 222 + 48 = 5*b, -5*b - 3*s = -c. What is the tens digit of b? 5 Let d be (1 - 2/(-1))/(51/289). Suppose -7*r - 1000 = -d*r. What is the hundreds digit of r? 1 Let g = -56 + 39. Let y = 35 + -32. Let b = y - g. What is the tens digit of b? 2 Let x be (0 - 8/4)*-10. Let p(o) = -10*o + 9*o**3 + 6*o**2 + 12*o**3 + 2 - x*o**3. What is the units digit of p(-7)? 3 Suppose 5*i - 23 = -8. Suppose i*q + 2*q = 15. Suppose -q*j + 4 = -2. What is the units digit of j? 2 Suppose -15311 - 2698 = -23*u. What is the units digit of u? 3 Let u be 4/((16/(-4))/(-4)). Suppose u*n - 1434 = -62. What is the tens digit of n? 4 Suppose -3*m + 1596 = -0*m. What is the units digit of m? 2 Let k(n) = -n**3 - 13*n**2 - 13*n - 7. Let i be k(-12). Suppose -230 - 315 = -i*l. What is the tens digit of l? 0 What is the units digit of (-341)/(-248) - (-6)/(-16)? 1 Let w = 145 - -36. Suppose -2*t = -w + 7. What is the tens digit of t? 8 Suppose -2*t + c = -174, -3*c + c - 436 = -5*t. Suppose -h = 5*q - 5*h - t, 0 = -q + h + 17. Suppose -q = -2*x + b + b, -12 = 3*b. What is the units digit of x? 6 Suppose 2*c - 2*i - 630 = -3*c, c - 149 = 5*i. Let v(s) = -5*s - 104. Let t be v(-20). What is the units digit of c/16 + (-1)/t? 8 Let p(z) = -359*z + 672. What is the units digit of p(-6)? 6 Suppose 9*z = 7*z + 152. Let g = z - 44. What is the units digit of g? 2 Let p(v) be the first derivative of 0*v - 3/2*v**2 + 2/3*v**3 + 3. What is the units digit of p(-4)? 4 Suppose 0 = -3*l + l + 324. Suppose 0 = f + 2*f + l. Let r = f + 77. What is the tens digit of r? 2 Suppose 0 = 43*s - 9*s - 37842. What is the thousands digit of s? 1 Let r = 111 - 9. Suppose 0 = m - 81 - 84. Let b = m - r. What is the units digit of b? 3 Let i(b) = 2*b + 14. Let y be i(-6). Suppose n - 149 = -5*m + 694, -4*n = y*m - 330. What is the hundreds digit of m? 1 Let p = -81 + 91. What is the units digit of p/(-70) - 2326/(-14)? 6 Let m(a) = -3*a - 6. Let d(g) = 2*g**2 + 3*g + 2. Let o be d(-2). Let w(h) = -4*h - 7. Let v(x) = o*w(x) - 5*m(x). What is the units digit of v(-20)? 2 Let r = 575 + 72. What is the hundreds digit of r? 6 Let a = -639 - -881. What is the units digit of a? 2 Suppose 3*s = 93 + 21. What is the units digit of s? 8 Suppose 9 - 5 = 2*i. Let c = i + -5. Let d = 4 - c. What is the units digit of d? 7 Let x be 1*(-2)/(-6)*9. Let b(o) = -1 + o - x*o + 4*o + 0*o. What is the units digit of b(7)? 3 Let h = -196 + 2940. What is the units digit of h/24 + (-4)/(-6)? 5 Let y(i) = -14*i. Suppose 8*a - 63 + 311 = 0. Let m = a + 27. What is the tens digit of y(m)? 5 Let s = -140 - -396. Suppose 0 = 3*d + p - s, d - 7*p + 4*p - 92 = 0. What is the units digit of d? 6 Suppose 183542 = 52*p + 47770. What is the tens digit of p? 1 Let r(a) = a - 1. Let j be (0 - 6) + -2 + 2. Let v be r(j). What is the units digit of (-10)/35 - 72/v? 0 Let l(b) = -b**3 + 5*b**2 + 2*b + 4. Let d be l(5). Let h be 4/d - 4842/42. What is the units digit of (h/(-10))/(1/2)? 3 Suppose 11*b = 10*b + 1. Let p = b - 0. What is the units digit of (-258)/(-15) - p/5? 7 Let m(j) = -j - 34. Let y be m(-13). Let p = y - -24. Suppose -2*n = -s - p*n + 54, -5*s + n = -288. What is the tens digit of s? 5 Let c = 2658 - 1120. What is the tens digit of c? 3 What is the hundreds digit of (1 - 1 - -1)*515? 5 Suppose 0 = -4*p - 5*m - 944, 4*p + 0*m - 4*m = -944. Let z be (-4)/(-6) + p/(-6). Suppose 3*v + 0*g - 79 = 2*g, 5*g - z = -2*v. What is the tens digit of v? 2 Suppose -3*s + 14*t + 1608 = 10*t, -3*t = 0. What is the units digit of s? 6 Let g = -61 - -91. Suppose 3*q - 2*o = 80, 5*q + 3*o - 78 = g. Suppose -26 - q = -5*y. What is the tens digit of y? 1 Let o(q) = 2*q + 17. Let b be o(-7). Suppose 7*s - b*s = 300. Suppose 0 = -3*c - 33 + s. What is the tens digit of c? 1 What is the units digit of (-96)/1104 + 272232/46? 8 Suppose 3*q = -3*a - 156, 116 = -3*q + 3*a + 2*a. Let i = q + 35. What is the units digit of 52 - (-7)/((-28)/i)? 5 Let v(o) = 3*o**3 + 5*o**2 - 18*o - 34. What is the units digit of v(9)? 6 Suppose 5*c + 39 = 2*w, -4*w = 2*c - 5*c - 15. Let i = c - -56. What is the tens digit of i? 4 Let k(x) = -2*x + 8. Let r be k(1). Let c = 5 + 0. Suppose c*m - 24 = r. What is the units digit of m? 6 Let l = 1688 - 892. What is the hundreds digit of l? 7 Let q = 19 + -23. What is the units digit of 6/q*(-1210)/33? 5 Suppose 1779 = 3*g + 459. What is the units digit of g? 0 Let f(c) = -2*c - 3*c**3 + 37 + 4*c**2 - 18 - 16 + 8*c**3. What is the tens digit of f(2)? 5 Suppose 0 = q - 0 + 4. Let p be q/(0 - 4) + 1. Suppose 205 = 7*x - p*x. What is the units digit of x? 1 Let x(p) = p**3 + 0*p + 6 + 2*p - 25 + 8*p + 15*p**2. What is the tens digit of x(-14)? 3 Suppose 3*p - 2 = 1. Let t be p/(-2) - (-89)/(-2). Let k = -10 - t. What is the units digit of k? 5 Suppose -y + u = 27, -5*y - 136 = -2*u + 5. Let a = -1 - y. Let l = -23 + a. What is the units digit of l? 5 Suppose 0 = -3*t + 4 - 1. Let v be ((-21)/t)/(-3) - -1. Let d(i) = 3*i - 3. What is the units digit of d(v)? 1 Suppose -4*b = -2*b - 2*g - 14, 4*b - 31 = 5*g. Suppose -3*c + 6 = 0, 0 = -i + b*c - 82 + 202. What is the units digit of i? 8 Let r be (40*(3 + -2))/(0 - -2). Suppose r*t + 1 = 21*t. What is the units digit of t? 1 Suppose 4*f = 3*u + 712, -6*u + 7*u = 4*f - 704. What is the hundreds digit of f? 1 Let m = 13 + -7. What is the units digit of (m/(-15))/((-5)/400)? 2 Suppose -4*u + u - 2*o + 4 = 0, 0 = 5*u - 5*o + 10. Suppose -9*k + 896 + 1309 = u. What is the units digit of k? 5 Suppose -12 = -4*v + 3*u + 35, -3*v + 5*u + 49 = 0. Let h be (-5)/20 + 402/v. Let d = h - 31. What is the tens digit of d? 1 Let r = 10 + -6. Suppose -r*b + 25 + 51 = 3*z, 2*b + 3*z - 32 = 0. Let m = -1 + b. What is the tens digit of m? 2 Let p = 33 + -35. Let t(b) = -8*b**3 + b**2 + 2*b + 4. What is the tens digit of t(p)? 6 Suppose 2*m + 6 = 0, 5*m - 5367 = -12*o + 9*o. What is the units digit of o? 4 Let i = 2808 + -886. What is the tens digit of i? 2 Suppose 0 = -5*r - m + 6708, -3*r + 12*m + 4011 = 8*m. What is the units digit of r? 1 Suppose -25 = 5*s, -4*s = 4*n + n - 970. What is the tens digit of n? 9 Suppose 66 = 2*u - 5*o, -188 = -4*u - 8*o + 4*o. Let f = u + -18. What is the units digit of f? 5 Suppose 10 = -2*o - 8. Let x = o + 4. Let i(c) = 2*c**2 + 8*c + 7. What is the tens digit of i(x)? 1 Let r = -51 - -85. Suppose 3*l - r = -4. What is the units digit of l? 0 Let z = -5 - -45. Suppose 0 = 5*k - 4*k + 5*a - 11, 2*k = -a + z. What is the units digit of k? 1 Let o be (0 - 11)/(2/2). Let j = 6 + o. Let k = 20 + j. What is the tens digit of k? 1 Let o be 0/2 - (-10)/((-40)/(-12)). What is the tens
{ "pile_set_name": "DM Mathematics" }
(-5*-3*sqrt(133)*3)/(6*sqrt(21)/sqrt(3) + (sqrt(7) - 2*sqrt(252)) + sqrt(7)) + 0. -45*sqrt(19)/4 Simplify (((-1 + sqrt(5))*2 - (2*sqrt(5) + -3)) + 1*(sqrt(450) + sqrt(450)*-1 + sqrt(450))/sqrt(10))**2. 6*sqrt(5) + 46 Simplify -1*(sqrt(540)*-4 + (sqrt(60) - sqrt(4860)*2))/((sqrt(108)*2 + sqrt(108))/sqrt(9)*6). 29*sqrt(5)/18 Simplify -4*sqrt(15)/(sqrt(35)/(sqrt(35)/sqrt(5))) - ((sqrt(1944)*1 + sqrt(1944))/sqrt(8) + 5). -22*sqrt(3) - 5 Simplify ((1*sqrt(114)*-3 + sqrt(114) + sqrt(114) - sqrt(114)) + -2*sqrt(114)*3)/(2*-2*sqrt(216)). sqrt(19)/3 Simplify 6*(2 + sqrt(12) + sqrt(12) + 1) + (-2 + sqrt(48))*-6. 30 Simplify ((-3 + (sqrt(704) - (-2 + (sqrt(704) - (-1 + sqrt(704))) + sqrt(704))))**2 + 0 + -3*sqrt(704) + 1)*6. -144*sqrt(11) + 30 Simplify ((4*(sqrt(440) + -2*sqrt(440))*-1)/(-2*((sqrt(360) + (sqrt(360) - sqrt(360)*-1) - sqrt(360)) + sqrt(360) + sqrt(360))))**2*2. 11/18 Simplify ((sqrt(120)*-1*-2)/(sqrt(96)*5))/(sqrt(160)*-2 + (sqrt(10) + sqrt(10) + sqrt(90))*1). -sqrt(2)/30 Simplify (3*sqrt(168)/(-6*(sqrt(343) - sqrt(7))))/(1*2*sqrt(800) + (sqrt(800) + (sqrt(800) - (sqrt(800) - (sqrt(800) - -2*sqrt(800)))))*4). -sqrt(3)/2160 Simplify (((sqrt(700) + 2)*-2 - (4 + 2*sqrt(700))) + (-3*(-2 + sqrt(700) + 0))**2)*-4. -25312 + 1600*sqrt(7) Simplify 2 + (-5 + (sqrt(80) - (sqrt(80) + sqrt(80) + 1)) + -2 - ((sqrt(605) + -1 + sqrt(605) - sqrt(605))*1 - (1 + sqrt(605) + sqrt(605))*4)**2). -29676 - 774*sqrt(5) Simplify 1*3*(((sqrt(320) + -2 - sqrt(320)) + sqrt(320) - sqrt(320)) + sqrt(320))**2 - (-5 + sqrt(320)*2 + -5 + sqrt(320))**2. -2008 + 384*sqrt(5) Simplify (-1*(sqrt(15) - 1*sqrt(135)))/(sqrt(135)/sqrt(3) + sqrt(30)/(sqrt(24)/sqrt(4)))*-4 + -4. -4 - 2*sqrt(3) Simplify -6*(4 + ((-1*sqrt(320))**2*-4 - ((sqrt(320) + 0)*4 - sqrt(320))) + -6*-2*sqrt(320) + sqrt(320) + ((1 + sqrt(320))*4 - sqrt(320))). -624*sqrt(5) + 7632 Simplify ((2 + (sqrt(405) - (sqrt(405) + -5))*6)**2 - ((-4 + 4*sqrt(405))*-1)**2)*-4 + 4. -1152*sqrt(5) + 21892 Simplify (-5 + -1*(6*-1*1*sqrt(108) - -5*(-5 + (sqrt(108) + sqrt(108)*2 - sqrt(108))))*-2)**2. -5280*sqrt(3) + 9937 Simplify 2*((sqrt(7) + (-1*sqrt(7))**2*6 - sqrt(7))*2*2 + sqrt(7) + sqrt(63)/(sqrt(9)*-2) + (sqrt(567) - sqrt(63) - sqrt(63))/sqrt(9)) + -3. 3*sqrt(7) + 333 Simplify 5*((-6*(sqrt(1872) - (sqrt(1872) + -4 + sqrt(1872))) - sqrt(1872))**2 + 2) + 2*1*((sqrt(1872) + 1 - sqrt(1872))*5)**2. -14400*sqrt(13) + 236940 Simplify (sqrt(110)/(sqrt(8)/sqrt(4)))/(-2*(sqrt(176) + sqrt(11) + sqrt(11)) - sqrt(11)) + -2*(-2 + sqrt(5))*-6 + 0. -24 + 155*sqrt(5)/13 Simplify (-5 + -1*(-3*-1*sqrt(300) - (2 + sqrt(300) + 4)))**2*-1. -1201 + 40*sqrt(3) Simplify (-3 + (-3 + (sqrt(832) - (sqrt(832)*1 + sqrt(832))) + sqrt(832) + 2 - (sqrt(832) - (sqrt(832) - (3 + -1*sqrt(832))))*-1))**2. 16*sqrt(13) + 833 Simplify (sqrt(65)*2*-4*-2*4)/((sqrt(20) + sqrt(720) + sqrt(720) + sqrt(720) + -2*sqrt(720))/(2*sqrt(144) + sqrt(4))). 832*sqrt(13)/7 Simplify (sqrt(68) + (sqrt(68)*4 + sqrt(68) - sqrt(68))*-1 - sqrt(68)*1*1)/(sqrt(28)/sqrt(7)*5 + sqrt(36)/(sqrt(45)/sqrt(5))). -2*sqrt(17)/3 Simplify (3*sqrt(875) + ((3*sqrt(245))/sqrt(7) - sqrt(35)))/((3*sqrt(25))/sqrt(5) + sqrt(60)/sqrt(3)). 17*sqrt(7)/5 Simplify ((1*(sqrt(66)*2 - sqrt(66)) - (sqrt(66) - (sqrt(66)*-2 + sqrt(66)))*-5)*-2)/(6*((sqrt(486)*-1 - sqrt(486))*2 + sqrt(486) + sqrt(486))). 11*sqrt(11)/54 Simplify (4*sqrt(54)/sqrt(3) + sqrt(180)/(1*sqrt(10) + sqrt(10)))/(sqrt(225)*-4 - sqrt(9) - sqrt(9)*3*2). -sqrt(2)/6 Simplify (-3*(-3 + 0 + 0 + sqrt(1331) + 1) + -2)**2*-5 + 2. -59973 + 1320*sqrt(11) Simplify (2 + sqrt(242)*-2*-6 + 3)**2 + (1*sqrt(16)*1)/sqrt(512) + -5. 10561*sqrt(2)/8 + 34868 Simplify (-2*1*(sqrt(114) + (4*sqrt(114)*4 - sqrt(114))))/((sqrt(6) - (sqrt(486) - sqrt(6))*3) + (sqrt(6) - 3*sqrt(384))). 16*sqrt(19)/23 Simplify (((-4*(1*sqrt(187)*-2 + sqrt(187)))/(6*sqrt(396)) + 2)*3)**2. 4*sqrt(17) + 341/9 Simplify ((3*sqrt(567)*-3 - 3*(sqrt(567) + -1 + sqrt(567))) + -3 + (sqrt(567) + (sqrt(567) + 2 - sqrt(567)))*6 + 4)**2. -2592*sqrt(7) + 46183 Simplify ((sqrt(143) - 6*1*sqrt(143))*-4*-2)/(sqrt(55)/sqrt(245) + sqrt(11) + 3*(sqrt(11) - sqrt(11)*1)). -35*sqrt(13) Simplify (sqrt(85)*3*-1 - (sqrt(85) + (sqrt(85) - sqrt(85)*-5)*2))/(sqrt(45)/(sqrt(9)*-3) + sqrt(5)*-2*5). 48*sqrt(17)/31 Simplify ((6*sqrt(360))/(sqrt(8) - -2*sqrt(8)*-3) + ((-3 + sqrt(180) + -1)*2)**2)*-1. -784 + 978*sqrt(5)/5 Simplify ((5 + 2 + (sqrt(1700) + 2 - sqrt(1700)) + sqrt(1700) + -1*sqrt(1700) + 4)*6*-5)**2. 152100 Simplify (-1 + -4*(sqrt(275) + (sqrt(275) + -1 - sqrt(275))) + 2 + (-1 + sqrt(275)*-3 - sqrt(275)))**2. -320*sqrt(11) + 17616 Simplify ((sqrt(600)*-2)/sqrt(12) + sqrt(350)/sqrt(343) + -1*(sqrt(200) + 1*(sqrt(200) + sqrt(200)*2 + sqrt(200)))*4)**2. 4292450/49 Simplify (5 + sqrt(44) + -1*(sqrt(44) + sqrt(44) + 0) - (sqrt(77) - -2*(2*sqrt(77) - sqrt(77)))/(-1*sqrt(847) - sqrt(847)))**2. -205*sqrt(11)/11 + 2781/44 Simplify ((sqrt(1377) + -3*(sqrt(1377) + sqrt(1377) + -2) + sqrt(1377) + sqrt(1377) + -2)*1 - ((3 + sqrt(1377) - sqrt(1377)) + 2 + sqrt(1377)*-1*1))**2. 36*sqrt(17) + 5509 Simplify (5 + ((2*sqrt(21)*2)/sqrt(7) + -5 - (-1*sqrt(363) + 5 + -2)))**2. -90*sqrt(3) + 684 Simplify -1*(6*(sqrt(432) + -1*sqrt(432)) + sqrt(432) - (3 + 2*sqrt(432) + sqrt(432)) - (-3 + -2*sqrt(432) - sqrt(432) - sqrt(432) - (2 + -1 + sqrt(432))))**2. -3889 - 72*sqrt(3) Simplify 4*-6*5*(sqrt(238)/sqrt(7)*-3)/(-4*sqrt(8)) + 5. -45*sqrt(17) + 5 Simplify -3*((3*sqrt(68) - sqrt(68)) + -2 + 0 - (sqrt(68)*-1*-4 - (-3 + 0 + sqrt(68)))**2). 96*sqrt(17) + 1869 Simplify (sqrt(64)/sqrt(2) + sqrt(32))/(4*sqrt(16)) - (((sqrt(198) + sqrt(22))*1)/(sqrt(11) - 2*sqrt(704)))**2. -32/225 + sqrt(2)/2 Simplify (6*(-3 + sqrt(13)) + -1*sqrt(13)*3 - ((-2 + sqrt(1573))*-6 + -3))**2. -3726*sqrt(13) + 62622 Simplify (3*sqrt(44)/((sqrt(4) - 2*sqrt(4))*5) + 1 + 2 + (0 + sqrt(275) - sqrt(275) - sqrt(77)/(-1*sqrt(7))))**2. 12*sqrt(11)/5 + 269/25 Simplify ((-5*(sqrt(84) - (sqrt(84)*3 + sqrt(84))))/(sqrt(12)*-3*5))**2 + ((1 + -2*sqrt(7))*-4 - (sqrt(1008) + 1 + sqrt(1008) - sqrt(63)/(sqrt(9)*-2))). -33*sqrt(7)/2 + 2 Simplify (sqrt(132)*2*6 + -3*(-3*sqrt(132) - sqrt(132)) + sqrt(132))/(sqrt(12) - 1*sqrt(972) - (sqrt(24)*-1 + sqrt(24))/sqrt(2)) + -2. -25*sqrt(11)/8 - 2 Simplify (2 + 2*sqrt(1900)*-4*-1 + 5 + (sqrt(1900)*-1 + 1 - sqrt(1900)))**2. 960*sqrt(19) + 68464 Simplify (-3*-2*-5*sqrt(21)*-1)/(-6*((-1*sqrt(175) - sqrt(175))*-3 - sqrt(175))). -sqrt(3)/5 Simplify (1*-6*(sqrt(1900) + (-6*sqrt(1900)*-1 - sqrt(1900))) - (4*4*(1*sqrt(1900) + sqrt(1900)) + -2))*-2. -4 + 1360*sqrt(19) Simplify ((-6*(sqrt(272) + -2 + sqrt(272) + 5) + -2*(sqrt(272) + -1)*-2)*-2)**2. 5632*sqrt(17) + 71568 Simplify (-2 + (3 + 6*sqrt(425)*1 - 3*(sqrt(425) + sqrt(425)*2)*-6) + -3)**2. -1200*sqrt(17) + 1530004 Simplify (-4 + (-2 + sqrt(1216) + 2 + ((sqrt(1216) + 0)*-3 - sqrt(1216)))**2 + 1 + -1)*4. 43760 Simplify ((sqrt(176) - (sqrt(176) - 3*1*sqrt(176)))/((2*sqrt(96) + sqrt(96) - sqrt(96))/sqrt(12)))/(-2*(-3*(sqrt(1331) + -2*sqrt(1331)) + sqrt(1331))). -3*sqrt(2)/176 Simplify -5 + 2*sqrt(325)*-4 - (4 + ((sqrt(637) + sqrt(637)*-1 - sqrt(637))**2 - sqrt(637)))*-5. -75*sqrt(13) + 3200 Simplify (-5*2*(sqrt(2268)*-1 - sqrt(9072)*-2)/(-6*(sqrt(576)*2 + sqrt(576) - sqrt(576))))**2. 1575/64 Simplify (sqrt(171) + -3 + sqrt(171) + sqrt(475) + -3 + (-1*6*(sqrt(19) + -3) + -3)**2)*6. -1014*sqrt(19) + 5418 Simplify 0 + 2*((4 + -3 + -4*sqrt(1872) + -5)**2 + -4) + -3. 768*sqrt(13) + 59925 Simplify (sqrt(96) + -1*sqrt(96)*-4)/(sqrt(768) - (sqrt(12) + (1*sqrt(12) + sqrt(12))*4))*-2. 20*sqrt(2) Simplify 5 + (sqrt(275) - (3 + sqrt(275)*1))**2 + -1 - (5 + -4*(-2*sqrt(275) - sqrt(275)) + -4)**2. -39588 - 120*sqrt(11) Simplify 3*((((sqrt(144) - (sqrt(144)*2 - sqrt(144)))/sqrt(4))/(-1*sqrt(36)/sqrt(3)) - (-1 + sqrt(768) + sqrt(48) - (sqrt(144)/(sqrt(3)*-2))**2)) + 5). -60*sqrt(3) + 54 Simplify 2 + -1*((3 + (sqrt(252) - -2*sqrt(252)) + sqrt(252))**2 + 2*(sqrt(252)*1 + sqrt(252))) + 3 + 5. -4031 - 168*sqrt(7) Simplify ((sqrt(65)*-5 - sqrt(65))*-2 + sqrt(65)*5*-1 + sqrt(65))/(sqrt(605)*-5 + (sqrt(35)*-2)/sqrt(7)). -8*sqrt(13)/57 Simplify (-5*(1 + 2 + sqrt(1216)) + 4*(4 + sqrt(1216)*-5 + sqrt(1216)) + -2 + -2)**2. 1008*sqrt(19) + 536265 Simplify 5 + (3*sqrt(2268)*2)/((sqrt(80)/sqrt(5))/sqrt(4)*6). 5 + 9*sqrt(7) Simpl
{ "pile_set_name": "DM Mathematics" }
*y**5 + 2*y**2. -17*y**5 Expand ((-2 - 2 - 1)*(0 + 3 - 4) - 2 - 1 + 1)*(-u**4 + 3*u**4 + 0*u**4)*(0 + u + 0). 6*u**5 Expand -2*v**2 + 2*v**3 - 3*v**2 + 4*v**2 + (-4*v**3 + 0*v**3 + 3*v**3)*(11 - 4 + 3) + 0*v**3 + 3*v**3 - 4*v**3. -9*v**3 - v**2 Expand (-103 - 30 + 11)*(3*p + 0*p - p) + 4 - 4 - p. -245*p Expand (-6*j**2 - 2*j**2 + 0*j**2)*(2*j - 2*j + j). -8*j**3 Expand (-2*f**5 + 0*f + 0*f)*(-3 + 3 + 3). -6*f**5 Expand -2 + 2 + 2*t + (4 + 2 - 2)*(-5 + 3 + 3)*(t - t - t). -2*t Expand (11 - 14 + 10)*(-2*z**3 + 2*z**3 + z**4). 7*z**4 Expand (-3*k**2 + 2*k**2 + 2*k**2 + (-k + k - k)*(k + 2*k - k))*(0 + k + 0 + (0 + 1 + 0)*(k - k + 2*k)). -3*k**3 Expand 0*w**3 + 3*w**3 - 2*w**3 + (4*w**2 + 2*w**2 - 7*w**2)*(w - w - w) - w**3 + 7*w**3 - 4*w**3 + 2*w**3 - 3*w**3 - 2*w**3 + (5*w - 2*w - w)*(w**2 + 4 - 4). 3*w**3 Expand (-2*v**3 + 7 + v**3 - 12)*(v - 3*v + 0*v). 2*v**4 + 10*v Expand (2 - 5 + 2)*((1 - 2*j - 1)*(-1 + 2 + 1) - 3*j + 0*j + 2*j)*(1 + 5 - 3). 15*j Expand (3*h + 3*h**2 - 3*h)*(-1 + 1 + 2)*(3 - 5 - 1)*(0*h + 0*h + 2*h). -36*h**3 Expand (-3*r**2 + 2*r**2 - 563*r + 605*r)*(2 - 2 + 2)*(0 - 3 + 5). -4*r**2 + 168*r Expand (2*g**3 - 2*g**2 + 2*g**2)*(-6*g**2 + 45 - 45 - g**2 + g**2 + 3*g**2 - 2*g**2 + 0*g + 0*g + (-g + 1 - 1)*(-2 + 2 - g)). -8*g**5 Expand (2 - 1 - 2)*(z + z - 4*z) + (-1 - z + 1)*(-16 + 9 + 2). 7*z Expand -2*t**5 + 19 - 6*t**2 - 19 + (-3*t**2 + 5*t**2 - 4*t**2)*(0 + 2*t**3 + 0) - t**5 - 1 + 1 + t**5 + 2*t**5 - 5*t**5. -9*t**5 - 6*t**2 Expand (2*r**2 + 0 + 0)*(19 + 4 - 13). 20*r**2 Expand (-5*v**2 + 4*v**2 + 0*v**2)*(-1 + 0 + 0)*(-2 + 5 - 2)*(8 - v - 8). -v**3 Expand (-2*h**2 + 2*h**2 + 2*h**3)*(-2 + 4 - 3) + (h**2 - 3*h**2 - 2*h**2)*(1 - 1 + 4*h). -18*h**3 Expand (5*h**3 - 2*h**3 - 4*h**3)*(-2*h**2 + 3*h**2 + 0*h**2) + 5*h**5 + 2*h**2 - 3 - 2*h**5 - h**2. 2*h**5 + h**2 - 3 Expand 2*o**2 - 4 + 4 + (-o**2 - 3*o + 3*o)*(2 - 6 + 2) + (-1 + 1 - 3*o)*(-2 + 2 - o). 7*o**2 Expand (0*d + 2*d + 0*d)*((1 - 1 - d)*(-5*d**3 + 4*d**3 - d**3) + 2*d**4 - 4*d**2 + 4*d**2 + 0*d**4 + 12*d**4 - 7*d**4). 18*d**5 Expand -12*v**3 + 12*v**3 + 8*v**4 - v**4 - 2 + 2 + (-2*v**3 + 0*v**3 + 3*v**3)*(2*v + v - 5*v) + (-v**3 + 0*v**2 + 0*v**2)*(-3*v + 5*v - v). 4*v**4 Expand 3*h**4 - 4*h**4 - h**4 - h**4 - 3*h**4 + 2*h**4 + (-2*h**2 + 0*h**2 + 3*h**2)*(-3*h**2 + 1 - 1) + (2*h - 2*h - 2*h)*(2*h**3 + 2*h**3 - 5*h**3). -5*h**4 Expand (-3 + 4*b**2 + 3)*(7*b**2 + 4*b**2 + 6*b**2). 68*b**4 Expand (-1 + 0 + 2)*(-s**3 + s**3 - s**3)*(-8*s + 3*s + 3*s). 2*s**4 Expand (2*a - 2*a + a**2)*(-4*a + 3*a + 0*a) + (-3 + 6 - 7)*(2*a**3 + 0*a**3 - 3*a**3) + 0*a**3 + 2*a**3 - 4*a**3. a**3 Expand (3*i**4 + i**4 - 3*i**4)*(-2*i + 0*i + i) - 3*i**5 - 4*i**5 + 3*i**5 + 8 - 6*i**5 - 8 + (i - 2 + 2)*(-i**4 - i**4 + i**4). -12*i**5 Expand (-3*f + 5*f - 4*f)*(-5 - 6 - 2). 26*f Expand -4*w**4 + 7*w**4 + w**4 + (2*w**3 - 4*w**3 + w**3)*(-3*w - 3*w + 5*w) + (4*w + 4*w**3 - 4*w)*(w - 3*w + 0*w). -3*w**4 Expand (0 + 0 - 3*j**2)*(2*j**3 - 42*j + 42*j) + 0*j**5 - 2*j**5 + j**5. -7*j**5 Expand (-1 + 5 + 5)*(3*k - 5*k - k)*(1 - 3 + 1). 27*k Expand (0*q + 2*q - q)*(-2 - q + 2) + (-6*q**2 + 4*q**2 + 0*q**2)*(-2 - 4 + 4). 3*q**2 Expand (4*d**2 + 3*d**2 - 5*d**2)*((-2*d - 1 + 1)*(1 - 2 + 0) + 13*d - 5*d + 3*d). 26*d**3 Expand (2 - 5 - 10)*(2*f - 6 - 5 + 9). -26*f + 26 Expand 0*u - 2*u + 0*u + (4 - 2*u - 4)*(2 + 5 - 5) - 2*u - 2*u + 2*u + (4 - 1 - 1)*(0 + 2*u + 0). -4*u Expand (-8*h**3 - 4*h**3 - 9*h**3)*(2 - 2 + 2). -42*h**3 Expand (3 + 2*z - 3)*(4 + 1 + 0)*(0*z + z + 3*z). 40*z**2 Expand (-4 + 2 + 0)*(3*j**4 + 4*j**4 + 2*j**4)*(-1 + 0 + 3)*(3*j + 9 - 9). -108*j**5 Expand (j**2 - 3*j**2 + 5*j**2)*(7 - j**2 - 2 + 0*j**2). -3*j**4 + 15*j**2 Expand (-3 + 3 - r)*(6*r - 5*r + r)*(-13 - 2*r**3 + 15*r**2 - 15*r**2). 4*r**5 + 26*r**2 Expand (4*w + w**3 - 4*w)*(0 + 0*w - 2*w - 1) - 3*w**4 + w**4 + 3*w**4 + 2*w**4 + 2*w**4 - 2*w**4. w**4 - w**3 Expand (2 - 4 - 2)*(2 - 3 - 1)*(0 - 2*r + 0). -16*r Expand (2 + 1 + 2)*(-3*f**2 - 3*f**2 + 0*f**2). -30*f**2 Expand (5*l**2 - 5*l**2 - 3*l**3)*(5 - 4 - 3) + 2 - 3*l**3 - 1 + 0. 3*l**3 + 1 Expand (-144*d**2 + 142*d**2 + 4 + 2)*(4*d**3 - 4*d**3 + 2*d**3). -4*d**5 + 12*d**3 Expand (10*f - 22 + 22)*(-f**2 - f**2 - f**2). -30*f**3 Expand (-x + 1 - 1)*(2 - 1 - 4) + 4*x + 0*x - 5*x. 2*x Expand (-2*x**3 + 3*x**3 + 0*x**3 + x**4)*(1 + 1 + 5) + 1 - 2*x**4 - 1. 5*x**4 + 7*x**3 Expand (-2 + 3 - w + 1)*(w**4 + w**4 - w**4). -w**5 + 2*w**4 Expand -b**4 + 0*b**4 + 3*b**4 - 3*b**4 + b**4 + b**4 + (b**4 + b**4 + 6*b**4)*(3 - 7 + 2) + (-2*b**2 + 0*b**2 + 0*b**2)*(-2*b**2 - b**2 + b**2). -11*b**4 Expand 2*s - 2*s**5 - 2*s + (2*s**3 - 5*s**3 + s**3)*(-s**2 - 3 + 3) + 0*s**5 + s**5 + s**5. 2*s**5 Expand -2*i + 5*i + 3*i + (-4*i + 2*i + i)*(2 - 1 - 2). 7*i Expand (-3*g**4 + 6*g**4 + 3*g**4)*(6 - 4 - 3). -6*g**4 Expand -2*x**5 + 3*x**5 + x**5 + (2*x**4 + 3*x**2 - 3*x**2)*(14*x - 4*x - 6*x). 10*x**5 Expand -n - n**2 + n + 3*n**2 + 23*n**2 + 5*n**2 - 4 + n**2 + 4 + 3*n - n**2 - 3*n + (-2*n + 0*n + 0*n)*(3 + n - 3) + n**2 - 3*n + 3*n. 29*n**2 Expand -2*i + 2*i + i + i + 4*i - 3*i - 2*i - i + i + (0 + 3 - 1)*(-i + 2 - 2) + 0*i + 2*i - 4*i + 2*i - 2*i - i. -4*i Expand (-6 - 13 + 8)*(-5*g**2 + 5*g**2 - g**5 + 3*g**3). 11*g**5 - 33*g**3 Expand (-8 - 1 + 5)*(3 + 0 + 0)*(-2 + 2 - 1)*(0*m + 3*m - 2*m). 12*m Expand (4*v**2 + v**2 + 0*v**2)*(3*v**3 + 0*v**3 - 2*v**3) + (-4*v**3 - v**4 + 4*v**3)*(-4*v + 2*v - 3*v). 10*v**5 Expand 5 - 5 + 4*i + 0 + 0 - 3*i + (-7 + 2 + 3)*(0 + i + 0). -i Expand (0*p + 6*p - 3*p)*(-15*p - p + p). -45*p**2 Expand (-1 + 1 - 2*b)*(20*b - 5*b - 300 + 307). -30*b**2 - 14*b Expand -r**3 - 4*r**2 + 4*r**2 + (-3*r**2 + 5*r**2 + r**2)*(r + 3*r - 3*r) + 3*r**2 - 3*r**2 - r**3. r**3 Expand (5*b**2 - 4*b**3 - 5*b**2)*(-3*b - 3*b - 8*b + (-3 + 1 + 1)*(b + 0 + 0)). 60*b**4 Expand -10*j**2 + 5*j**3 + 10*j**2 + 0*j**3 + 2*j**3 - 4*j**3 + (3*j - 3*j + 2*j**2)*(0*j + j + j). 7*j**3 Expand (-5*o + 2*o + 2*o)*(o**3 - 3*o**3 + 5*o**3 + (0*o + 4*o - 2*o)*(0*o**2 - 5*o**2 + 4*o**2) + 0*o + 2*o**3 + 0*o + 2*o**3 + 2*o**2 - 2*o**2). -5*o**4 Expand (3*j**2 - 6*j**2 + j**2)*(-47*j**3 - 35*j**3 - j + 75*j**3). 14*j**5 + 2*j**3 Expand ((5 + 2 - 6)*(0*y + 3*y - 2*y) + (0*y + 0*y + 7*y)*(3 + 2 - 7))*(2*y**2 + 3*y**2 - 4*y**2). -13*y**3 Expand (0*c**5 + c**5 + 2*c**5)*(-3 + 5 - 3). -3*c**5 Expand (-1 + 0 + 2)*(19 + 14*y - 19)*(0 + 0 + 1). 14*y Expand (-1 - 1 + 0 + (3 - 5 + 1)*(1 - 5 + 3) - 4 + 1 + 2)*((-h + 4*h - 4*h)*(2*h - 2*h - 2*h**2) - 2*h + h**3 + 2*h + 0*h**3 + 2*h**3 + 2*h**3). -14*h**3 Expand (10*u + 0*u - u + 4 - 4 + u + (1 + 0 - 3)*(2*u + 5*u - 5*u))*(-4*u + 2*u + 4*u). 12*u**2 Expand (0*g - 6*g + 4*g)*(-4*g**2 + 2*g**2 + 6*g**2) + (0*g**2 + 4*g**2 - 3*g**2)*(g - 1 + 1) + (3*g**2 - 12*g**2 + 6*g**2)*(0 + 2*g + 0). -13*g**3 Expand 0*v - 2*v + 3*v + (-1 + 1 + 2*v)*(3 + 3 + 1). 15*v Expand (1 + 2 - 2)*(1 - 6*f + 11*f - 4). 5*f - 3 Expand ((-1 + 1 + 2*z)*(-3 + z + 3) - 4*z**2 + 3*z**2 + 2*z**2)*(-11*z + 7*z + 1 - 3). -12*z**3 - 6*z**2 Expand (q - 2*q + 4*q)*(6 + 8*q - 6). 24*q**2 Expand (-i + 2*i - 3*i)*((i - i - i)*(2*i + i**2 - 2*i) + 0*i**3 - i**3 + 0*i**3). 4*i**4 Expand (5*w - 5*w - w**2)*(-2*w - w + 5*w + (-w + 0*w - w)*(-1 + 2 + 0) - 6*w + 2*w + 2*w). 2*w**3 Expand (0 - 2 + 3)*(0*u**2 + 0*u**2 - 2*u**2)*(2*u - 2*u + 6*u). -12*u**3 Expand 2*g**4 + 2 - 2 + (0 + g**2 + 0)*(-g**2 - g**2 + 4*g**2). 4*g**4 Expand (0*u - u - u)*(2*u + 2*u - 5*u) - 4*u**2 - u**2 + 7*u**2 - u + 2 + u**2 + u. 5*u**2 + 2 Expand (r + r + 2*r)*(3*r**4 - 4*r**4 + 0*r**4). -4*r**5 Expand 4*a**2 - a**2 - 5*a**2 - a + (5 - 5 - 3)*(a**2 + 3*a**2 - 5*a**2) + 3*a**2 - a + a. 4*a**2 - a Expand (-6 + 2*u + 6)*(-12*u**2 - 17*u + 17*u - 41*u**2). -106*u**3 Expand 0*a**5 - a**5 + 8*a**5 + 2*a**5 - 2*a**5 - 2*a**5 + (0 - 2 + 1)*(0 - 3*a**5 + 0). 8*a**5 Expand (5 - 5 + y)*(-1 + 1 + 3*y)*(0*y - 1 - 1 + 2*y). 6*y**3 - 6*y**2 Expand (4 + 1 - 4)*(-4*a + 2*a + 0*a)*(-9*a**2 + 0*a - 2*a + 7*a**2). 4*a**3 + 4*a**2 Expand (-3*a**2 - 4*a**2 + 6*a**2)*(0 + 3 - 1)*(9*a**3 - 26*a**3 - 14*a**3). 62*a**5 Expand (-6*a + 2*a + a)*(-2*a + 0*a + a) + (a + 5*a - 5*a)*(-4*a - 4*a + 2*a) + 0*a + 0*a + 2*a**2 + (0*a**2 + a**2 - 3*a**2)*(5 - 1 - 3) - a**2 + 3*a - 3*a. -4*a**2 Expand (-3 + 1 + 1)*(-1 + 23*h - 24*h - 1). h + 2 Expand 6*f - f - 3*f - 3*f + 3*f
{ "pile_set_name": "DM Mathematics" }
766 is divided by 59. 58 What is the remainder when 158 is divided by 16? 14 Calculate the remainder when 38 is divided by 6. 2 Calculate the remainder when 20314 is divided by 85. 84 Calculate the remainder when 70 is divided by 29. 12 Calculate the remainder when 305 is divided by 28. 25 Calculate the remainder when 1401 is divided by 182. 127 What is the remainder when 879 is divided by 17? 12 What is the remainder when 111 is divided by 71? 40 Calculate the remainder when 131 is divided by 60. 11 What is the remainder when 2291 is divided by 19? 11 What is the remainder when 16053 is divided by 19? 17 What is the remainder when 240 is divided by 11? 9 What is the remainder when 134 is divided by 43? 5 Calculate the remainder when 540 is divided by 170. 30 What is the remainder when 555 is divided by 72? 51 Calculate the remainder when 50 is divided by 17. 16 What is the remainder when 2321 is divided by 86? 85 What is the remainder when 1019 is divided by 85? 84 Calculate the remainder when 227 is divided by 61. 44 Calculate the remainder when 507 is divided by 256. 251 What is the remainder when 33570 is divided by 19? 16 What is the remainder when 2932 is divided by 2927? 5 Calculate the remainder when 412 is divided by 69. 67 Calculate the remainder when 492 is divided by 347. 145 What is the remainder when 19 is divided by 14? 5 Calculate the remainder when 94 is divided by 21. 10 What is the remainder when 753 is divided by 19? 12 Calculate the remainder when 14895 is divided by 382. 379 Calculate the remainder when 1036 is divided by 510. 16 What is the remainder when 142 is divided by 39? 25 Calculate the remainder when 5183 is divided by 24. 23 What is the remainder when 128 is divided by 34? 26 Calculate the remainder when 35 is divided by 6. 5 What is the remainder when 11397 is divided by 12? 9 Calculate the remainder when 10143 is divided by 19. 16 What is the remainder when 312 is divided by 67? 44 What is the remainder when 9955 is divided by 13? 10 What is the remainder when 538 is divided by 79? 64 Calculate the remainder when 116 is divided by 24. 20 Calculate the remainder when 164 is divided by 16. 4 Calculate the remainder when 218 is divided by 10. 8 What is the remainder when 65 is divided by 11? 10 What is the remainder when 15 is divided by 6? 3 What is the remainder when 802 is divided by 45? 37 Calculate the remainder when 4029 is divided by 402. 9 Calculate the remainder when 334 is divided by 86. 76 Calculate the remainder when 1413 is divided by 14. 13 Calculate the remainder when 1198 is divided by 25. 23 Calculate the remainder when 7006 is divided by 41. 36 Calculate the remainder when 800 is divided by 115. 110 Calculate the remainder when 121 is divided by 43. 35 What is the remainder when 142 is divided by 48? 46 What is the remainder when 763 is divided by 24? 19 Calculate the remainder when 77 is divided by 22. 11 Calculate the remainder when 1042 is divided by 43. 10 Calculate the remainder when 5580 is divided by 696. 12 Calculate the remainder when 94 is divided by 42. 10 What is the remainder when 59 is divided by 41? 18 What is the remainder when 299 is divided by 41? 12 Calculate the remainder when 206 is divided by 69. 68 What is the remainder when 101 is divided by 92? 9 What is the remainder when 82 is divided by 64? 18 What is the remainder when 139 is divided by 71? 68 What is the remainder when 1389 is divided by 12? 9 What is the remainder when 149 is divided by 6? 5 What is the remainder when 181 is divided by 23? 20 Calculate the remainder when 982 is divided by 55. 47 Calculate the remainder when 1521 is divided by 12. 9 Calculate the remainder when 14927 is divided by 57. 50 What is the remainder when 374 is divided by 21? 17 What is the remainder when 825 is divided by 118? 117 What is the remainder when 6379 is divided by 19? 14 What is the remainder when 406 is divided by 25? 6 Calculate the remainder when 352 is divided by 86. 8 What is the remainder when 553 is divided by 97? 68 Calculate the remainder when 90 is divided by 7. 6 Calculate the remainder when 14681 is divided by 11. 7 What is the remainder when 359 is divided by 36? 35 Calculate the remainder when 311 is divided by 63. 59 Calculate the remainder when 159 is divided by 15. 9 What is the remainder when 283 is divided by 86? 25 What is the remainder when 768 is divided by 384? 0 Calculate the remainder when 200 is divided by 67. 66 What is the remainder when 1036 is divided by 34? 16 What is the remainder when 163 is divided by 58? 47 Calculate the remainder when 205 is divided by 13. 10 Calculate the remainder when 350 is divided by 47. 21 Calculate the remainder when 83 is divided by 15. 8 What is the remainder when 943 is divided by 234? 7 What is the remainder when 1133 is divided by 17? 11 Calculate the remainder when 136 is divided by 23. 21 Calculate the remainder when 73 is divided by 23. 4 What is the remainder when 3054 is divided by 12? 6 Calculate the remainder when 61 is divided by 8. 5 Calculate the remainder when 8753 is divided by 199. 196 Calculate the remainder when 8810 is divided by 210. 200 Calculate the remainder when 454 is divided by 46. 40 What is the remainder when 44833 is divided by 29? 28 Calculate the remainder when 817 is divided by 10. 7 Calculate the remainder when 1501 is divided by 248. 13 What is the remainder when 675 is divided by 136? 131 What is the remainder when 434 is divided by 12? 2 Calculate the remainder when 163 is divided by 24. 19 Calculate the remainder when 8807 is divided by 89. 85 What is the remainder when 3292 is divided by 37? 36 What is the remainder when 4316 is divided by 120? 116 What is the remainder when 456 is divided by 59? 43 Calculate the remainder when 191 is divided by 121. 70 What is the remainder when 4838 is divided by 220? 218 Calculate the remainder when 1370 is divided by 28. 26 What is the remainder when 38176 is divided by 126? 124 Calculate the remainder when 2720 is divided by 119. 102 What is the remainder when 112 is divided by 9? 4 What is the remainder when 398 is divided by 50? 48 Calculate the remainder when 2204 is divided by 159. 137 Calculate the remainder when 190 is divided by 12. 10 What is the remainder when 83 is divided by 22? 17 Calculate the remainder when 227 is divided by 121. 106 What is the remainder when 30 is divided by 16? 14 What is the remainder when 357 is divided by 81? 33 Calculate the remainder when 234 is divided by 46. 4 What is the remainder when 700 is divided by 16? 12 What is the remainder when 112 is divided by 49? 14 What is the remainder when 21 is divided by 3? 0 What is the remainder when 1795 is divided by 27? 13 What is the remainder when 190 is divided by 6? 4 Calculate the remainder when 9 is divided by 1. 0 What is the remainder when 1334 is divided by 259? 39 What is the remainder when 292 is divided by 185? 107 Calculate the remainder when 60 is divided by 13. 8 Calculate the remainder when 141 is divided by 16. 13 Calculate the remainder when 5655 is divided by 82. 79 Calculate the remainder when 295 is divided by 138. 19 What is the remainder when 286 is divided by 49? 41 What is the remainder when 2277 is divided by 228? 225 Calculate the remainder when 78 is divided by 67. 11 Calculate the remainder when 1011 is divided by 98. 31 Calculate the remainder when 8311 is divided by 2766. 13 Calculate the remainder when 87 is divided by 24. 15 What is the remainder when 589 is divided by 6? 1 What is the remainder when 172 is divided by 46? 34 Calculate the remainder when 252 is divided by 117. 18 What is the remainder when 2463 is divided by 85? 83 Calculate the remainder when 38333 is divided by 85. 83 What is the remainder when 882 is divided by 110? 2 Calculate the remainder when 1360 is divided by 1333. 27 Calculate the remainder when 571 is divided by 3. 1 What is the remainder when 259 is divided by 29? 27 What is the remainder when 1042 is divided by 19? 16 What is the remainder when 1199 is divided by 29? 10 What is the remainder when 753 is divided by 27? 24 Calculate the remainder when 549 is divided by 150. 99 What is the remainder when 25 is divided by 18? 7 Calculate the remain
{ "pile_set_name": "DM Mathematics" }
8, 5*j = -4*y - 13. Let m(o) = -76*o. Let w be m(j). Suppose -18*x = -14*x - w. Is x a composite number? False Let a = 4314 + 1397. Is a a composite number? False Suppose 4*s = -d - 18, 30 = -3*d - s - 13. Is (-6)/21 - 20402/d a prime number? False Suppose 13*u = 11*u - 4*w + 2182, -3*w + 2185 = 2*u. Is u a prime number? True Suppose 0 = -2*y + 3*m + 3, 3*y = -3*m + 9 + 18. Let o(j) = -7*j**3 + 4*j - y*j**2 + 16*j**3 - 2 - 10*j**3. Is o(-7) prime? True Is (4 - (-20)/(-8))*(-16804)/(-6) composite? False Let n(h) = -h + 1 - h + 1 + h**2 + 0*h. Let m be n(3). Suppose -10*b + 575 = -m*b. Is b composite? True Let j = -1197 + 2425. Suppose 13*l + 678 = 15*l. Let u = j - l. Is u composite? True Suppose 5*u - 2*u + 1893 = 0. Let d = u + 1249. Suppose -3*p + 3*v + 624 = 0, -3*p + 7*v + d = 2*v. Is p prime? True Suppose -14991 = -5*x - 2146. Is x a prime number? False Let j(p) = -p**2 - p + 1. Let x be j(-3). Let a(t) = 2*t**2 + 33*t + 23. Let y be a(-17). Let k = x + y. Is k composite? True Suppose -3*x + 5*l + 24 = -1, -2*x = -5*l - 20. Is ((-526)/4)/(x/(-10)) composite? False Suppose -2*y + 3073 = -5*n + y, 0 = 4*n - 3*y + 2456. Let w = n - -1978. Is w a composite number? False Let v(d) = -d**3 - 5*d**2 - 2*d - 10. Let j be v(-5). Suppose 0 = -2*r - j*r + 10. Suppose 2*x - 15 = r*x, 104 = 4*b + 4*x. Is b prime? True Suppose d - 16880 = -5480. Suppose 2*g + 4*n = 4738, -4*g + d - 1952 = n. Is g composite? True Let y(q) = -25*q**3 - q**2 - 6. Let r(h) = 49*h**3 + h**2 + h + 11. Let f(n) = -3*r(n) - 5*y(n). Let c be f(-4). Suppose 407 - c = -2*u. Is u prime? True Suppose -161253 = -5*y - 2*l, l + 38856 = 2*y - 25647. Is y a composite number? False Let z(i) = -98*i + 9. Let l be ((-90)/(-21))/(6/28). Suppose -3*v + x = l, x - 45 = 4*v - 4*x. Is z(v) composite? False Is 4 + 9805/10 + 6/(-4) composite? False Let w = -73 + -217. Let f = 511 + w. Is f a prime number? False Let n = 21 - 70. Let w be 7/n - 86/(-14). Suppose 2*i - w*i = -524. Is i a prime number? True Let r(k) = -k**2 + 7*k + 2. Let x be r(7). Suppose -x*n - 1614 = -4*n. Is n composite? True Suppose 5177 + 4878 = 4*p + h, 3*h = -15. Is p a composite number? True Let h = -83 + 226. Suppose f - 13 = -u + 25, -h = -4*u + 5*f. Let i = 360 + u. Is i prime? True Suppose 4*i = -o + 12545, -969 = -2*i - 5*o + 5290. Is i a composite number? False Is 224242*((44 - 43) + (-2)/4) a prime number? True Let a be (-3)/(-2)*(-32)/(-12). Suppose 2*s - 833 = -b, a*s = 3*b - b + 1670. Is s prime? False Let n(b) = 208*b**2 - 6*b + 82. Is n(8) a composite number? True Let a = 2417 - -482. Suppose 1700 = -2*c + 5*j - 2315, 3*c = j - 6029. Let r = a + c. Is r a composite number? True Suppose 50 = 2*w + 3*w. Is 3912/168 + (-1 - w/(-14)) composite? False Is 6 + 6796*21/12 composite? True Suppose 1329 = -2*i - 79. Let x = 1375 + i. Suppose -4*h = 5*p - x, -3*p + 0*p + 381 = -3*h. Is p a composite number? False Suppose -4*m - 482 = 3*z, -6*z = -z + 10. Let x = m - -370. Is x prime? True Let q(c) = -30*c - 11. Suppose 5*d - d = 20. Let i = d + -14. Is q(i) composite? True Let v(j) = 4783*j**3 + 2*j**2 + 2*j - 4. Is v(1) a prime number? True Let l be -1*4 - (-10 + 1). Suppose -2*v = 4*b - 9494, 0*b + l*b - 5*v = 11830. Is b composite? False Let p(v) = -v**3 + 14*v**2 - 13*v + 2. Suppose -16 + 3 = -y. Let a be p(y). Suppose a*u = -0 + 22. Is u prime? True Suppose 1 = -y, -4*g + 1697 = -5*y - 208. Let q = 1532 - g. Is q a composite number? True Let t = 5 - 1. Let i be 1/((-1)/t) + 6. Let z(a) = 83*a**2 - 2*a + 3. Is z(i) a prime number? True Is (-59739)/1*(-19)/57 a prime number? True Let c(q) = q**2 + 10*q + 11. Let n be c(-8). Let m(t) = 9*t**2 - 8*t - 14. Is m(n) composite? False Suppose 5*j = 3*j. Suppose -q = -116 - j. Let r = 13 + q. Is r prime? False Suppose s = 5*t - 10694 - 6824, t - s - 3506 = 0. Is t a prime number? False Let h(o) = -o + 11. Let y be h(8). Let c(t) = 3*t**2 - t - 1 - 8*t**3 - 5*t**3 + y*t. Is c(-2) prime? False Let h(q) = 37*q**2 + 5*q + 3. Suppose -8*p = -13*p + 15. Suppose 0 = f + 5*o + 20, 2*o + 5 = 2*f - p*f. Is h(f) composite? False Let y = 18 - 7. Suppose 7*a = y*a - 48. Is (254/(-8))/((-3)/a) a prime number? True Is -3 + (8492/55)/((-2)/(-100)) prime? True Let i(q) = -61*q + 1. Let u be i(-2). Let v be (36/(-27))/(2/u). Let x = 47 - v. Is x composite? True Let l(s) = s**2 + s - 1. Let h(f) = -5*f**2 - 24*f - 1. Let k(v) = h(v) + 4*l(v). Is k(-14) a prime number? True Let p = 48792 + -28971. Is p composite? True Let j be (-15)/(25/5) - 7. Let w be (72/40)/((-6)/j). Is w/(-3*3/(-627)) a composite number? True Let u(g) = 5537*g + 41. Is u(4) composite? False Suppose 12 = -4*w, -5*z + 5*w = -3*z - 15. Suppose 5*f = -3*t + 1458, -3*f = -z*t - 5*t + 2396. Is t composite? True Let r(x) = 13*x**2 - 38*x - 10. Is r(-17) composite? True Suppose 736909 = 108*k - 37*k. Is k a composite number? True Let l = 3 + 1. Suppose a = -3*m + m - 132, l*m = -20. Let d = 389 + a. Is d prime? False Let l(b) = -4*b - 9. Let q be l(-6). Let o = q - 20. Is (53/4)/(o/(-20)) composite? False Let k = 21820 - 6866. Is k prime? False Suppose 3*d = -4279 + 35350. Is d composite? False Suppose 3*d + 2*d - q - 1922 = 0, 386 = d - q. Suppose 5*g = 3*j - d, 2*j - 237 = -0*j - 3*g. Is j prime? False Let b be 2 + 1 + 28 + 2. Suppose b*d - 1226 = 31*d. Is d prime? True Suppose 7*g + 4893 - 30548 = 0. Is g a prime number? False Let o be ((-1)/2)/(2/(-4)). Let y be (o + (1 - 2))/2. Suppose -4*i - 16 = y, 3*u - 189 + 52 = -4*i. Is u a composite number? True Is (-1)/(1/(-22863))*(-30)/(-90) a composite number? False Let i(p) be the second derivative of -13*p**3/6 - p**2 - 2*p. Let r be (2 - 1)*-5 - 2. Is i(r) a prime number? True Let b = 26 - -15. Suppose 19 = c + 3*k, 3*k = -4*c - 2*k + b. Suppose 202 + 114 = c*p. Is p a prime number? True Suppose -4*j + i = -3*i - 172, 0 = 3*j + 5*i - 89. Let n = 50 + -50. Suppose -b + n*b = -j. Is b a composite number? True Let p = -38 - -45. Suppose -k = -p - 30. Is k a composite number? False Let s = 15088 - 6803. Is s a prime number? False Let s(m) be the third derivative of m**6/120 + m**5/12 - m**4/8 + m**3 - 9*m**2. Let p be s(-6). Is (-123)/p*(3 + 5) a composite number? True Let v(l) = 11*l**3 + l**2 - 54*l - 1. Is v(10) a prime number? True Suppose 3*y = -5*n + 40, -n + 0*n - 5 = -2*y. Is (4/n)/(34/8245) composite? True Let h = -575 + 1308. Is h a composite number? False Let d(q) = -34*q - 367. Is d(-42) composite? False Let p = -5552 + 8004. Suppose p = 4*k - 0*k. Is k prime? True Let y(k) = -k**3 + 11*k**2 - 9*k + 15. Let r be y(10). Suppose 0 = j - 6*j + 5*u - r, 3 = j + u. Is (1671/(-9))/(j/3) prime? True Let t(q) be the third derivative of -51*q**4/8 + q**3/2 + 17*q**2. Is t(-6) a prime number? False Suppose 1362 = 2*y + 2*t + 2*t, -2*y + 1357 = 5*t. Is y prime? True Suppose -5*s - 30 - 6500 = 0. Let h = s + 4743. Is h a composite number? True Let x = 96 - -1838. Is x a composite number? True Suppose 6*v - 49714 = -8*v. Is v composite? True Suppose 3*l - 722 = -119. Let d = 412 - l. Is d a composite number? False Suppose 3*n = 5*n - 3*p - 12017, -4*p = n - 6003. Is n composite? False Suppose v + 2 = -0. Is (7/21)/(v/(-2682)) a composite number? True Suppose g - 5*k = 4*g + 18, 0 = -5*k. Let v be g*3/6 + 10. Suppose 0 = -2*x + v*x + 2*q - 111, 2*x - 4*q = 30. Is x a prime number? False Suppose -3*p - w = -6*w - 10365, 0 = -5*p + w + 17275. Is p a composite number? True Is (2038/10)/((-12)/(-60)) composite? False Suppose 4*q = 3*i + i - 240, -236 = 4*q - 2*i. Let k = q + 185. Is k composite? False Let j = -2880 - -4118. Let g = j - 493. Suppose -w = 4*w - g. Is w composite? False Let c(u) = 8777*u - 473. Is c(18) composite? False Suppose -14*n = -0*n + 70. Is (5/n - -840)*1 a prime number? True Let o(l) = 14*l**2 + 16*l + 12. Let r be o(-8). Suppose -2*u + 1042 = -r. Is u composite? False Let o(j) = -j - 4. Let x(d) = -d**3 + 3*d**2 + 3*d - 2. Let b be x(4). Let q be o(b). Suppose 2*i = -q*i + 1412. Is i prime? True Is -3*12/((-108)/77205) a composite number? True Suppose 14*q - 21167 = 323. Is q a composite number? True Let v = 12116 + -6647. Is v a composite number? True Let n(l) = 36*l - 2. Let x be n(9). Suppose x - 1136 = -2*s. Is s a prime number? False Is (4/8)/((-3)/(-5274))*
{ "pile_set_name": "DM Mathematics" }
= t + g. What is the hundreds digit of z? 1 Let j = -603 + 1191. Suppose 0 = 2*x + r + j, -5*r - 9 = 11. What is the tens digit of 4/(576/x + 2)? 4 What is the hundreds digit of 153/(-17) + 21 - -13034? 0 Suppose 5*y = -3*g + 60134, 5*g + 36*y - 100216 = 35*y. What is the tens digit of g? 4 Suppose 2*l + 5*x - 65564 = 0, 2*l + 9*x - 63256 - 2284 = 0. What is the ten thousands digit of l? 3 Suppose -4*m = s - 0*m + 2, -30 = 2*s - 5*m. Let c = s + -15. Let n = 0 - c. What is the tens digit of n? 2 Let q(m) = m**2 + 7*m - 1. Suppose -26*l = -30*l - 40. Let p be q(l). Let w = p - 5. What is the units digit of w? 4 Suppose 3*h = 38*q - 36*q + 33783, 2*h - 4*q = 22514. What is the units digit of h? 3 Let s(f) = -12*f**3 + 10*f**2 - 16*f + 22. Let l(x) = -2*x**3 - x**2 + x. Let v(o) = -6*l(o) - s(o). What is the units digit of v(3)? 0 Suppose -14*x + 20782 = -38984. What is the units digit of x? 9 Suppose 26*j - 1836479 = -147*j + 4136519. What is the hundreds digit of j? 5 What is the tens digit of 171/(-2907) + (-109498)/(-17)? 4 Let w(n) = 21*n**3 - n**2 - 9*n + 12. Let v(f) = -21*f**3 + 2*f**2 + 10*f - 12. Let l(d) = 3*v(d) + 4*w(d). What is the units digit of l(3)? 9 Let c = 769 + -362. Let a = c + -265. Let s = -105 + a. What is the tens digit of s? 3 Suppose 4*m = 7*m - 15. Suppose -y - m*z = 431, z - 6 = -3. Let d = 650 + y. What is the units digit of d? 4 Let w be 58 - (3 + 4 + -9). Suppose -5*s - 10*s = 0. Suppose -4*u + 5*l + 207 = s, -u + w = 4*l + 3. What is the tens digit of u? 5 Suppose 0 = -5*p + k + 578, 0 = -4*k + 3*k - 3. Let h = 207 - -338. Suppose f + 5*j - p = 0, 4*f = -2*j - j + h. What is the units digit of f? 0 Let s(w) = 16 + w**2 + 2 + 2084*w - 2070*w. Let j be s(-8). What is the units digit of (-2)/6 + (-2440)/j? 1 Suppose -10*k - 4*u + u + 253496 = 0, -25347 = -k + u. What is the hundreds digit of k? 3 Let m(v) = 43*v - 1633 + 43*v + 1669. What is the tens digit of m(8)? 2 Suppose -5*s = 2*b - 6*b - 851, 514 = 3*s + b. Let k = s + 46. What is the hundreds digit of k? 2 Suppose f = 6*c - 17282 - 33405, 2*c - f - 16895 = 0. What is the hundreds digit of c? 4 Suppose -n + 2*n - 176 = -3*a, 2*n + 128 = 2*a. Let f = a + -3. Suppose 3*k + 3*v - 216 = 0, v + 3*v = k - f. What is the tens digit of k? 6 What is the hundreds digit of -1*((2388/18)/2)/(7/(-987))? 3 Let w = -45 + 38. Let y be (3/6)/(6/1524). Let n = y + w. What is the hundreds digit of n? 1 Suppose -82112 + 271696 = 41*p. What is the tens digit of p? 2 Let k(u) = 6*u**2 - 28*u + 91. Let d be 33/2 - (-213)/142. What is the thousands digit of k(d)? 1 Let d be -3*(-2)/(-4)*(-4 - -2). Suppose d*v - 9 = -0, -2*j + 3 = v. Suppose j = -5*m - 93 + 653. What is the hundreds digit of m? 1 What is the tens digit of 2*2*(2243 - -21)? 5 Let k(s) = -4*s. Let j be k(0). Suppose j = -0*l + 3*l, l = 4*t - 20. Suppose -5*x + 8 = t*c - 17, 3*c + 3 = -x. What is the units digit of x? 9 Let f = -179 + 178. What is the tens digit of (5/40*38)/(f/(-4))? 1 Let o be -6 - 4*4/(-16) - -117. Let i = o + -96. What is the units digit of i? 6 Let t(b) = -5*b**3 + b**2 - 11*b - 6. Let c be t(-3). Suppose -2*h - c = -175. Suppose -h*l - 3*q + 562 = -4*q, -1408 = -5*l + q. What is the tens digit of l? 8 Suppose -25*t + 5071 = 3*o - 24*t, -5*t = -3*o + 5083. What is the thousands digit of o? 1 Let z(a) = 23*a + 22 + 4*a**2 + 4*a**2 - 32*a + a**3 + 0*a**3. Suppose -3*l - 16 - 11 = 2*u, -u + 3*l = 0. What is the units digit of z(u)? 2 Let l(y) = -y**3 - 22*y**2 + 43*y - 16. Suppose 0 = 3*v - q + 71, q = 2*v - 5*v - 73. What is the hundreds digit of l(v)? 1 Suppose 12*r = 45 + 51. Suppose -3773 = -r*d + d. What is the units digit of d? 9 Let n(f) = f**2 + 7*f - 4. Let t be n(-5). Suppose -4*j + 2183 = -1337. What is the tens digit of (-2)/t - j/(-14)? 6 Let o be 3/(-27) + (-11067)/27. What is the units digit of (o - 1)*(-96)/72? 8 Let h(y) = -y**3 - 18*y**2 + 17*y + 15. Let n(d) = -d**2 - d**3 - 7*d**2 + 18*d - 11*d**2 + 15. Let w(s) = -4*h(s) + 5*n(s). What is the tens digit of w(-24)? 6 Let j be (0 + -3)*(1 + -2 + -2). What is the tens digit of 3/(j/1029) - (0 + -1)? 4 Let z(b) = b**3 - 23*b**2 + 34*b + 32. Let u be 20/(-70) - ((-680)/28 + 1). What is the hundreds digit of z(u)? 8 Suppose 4*h = -3*g + 609, -1 = g - 0. Suppose 7*c - 27 = -h. Let v = c - -27. What is the units digit of v? 9 Suppose 0 = 21*n - 17*n - 2*y - 73278, 0 = -3*n - y + 54971. What is the units digit of n? 2 Let g(o) = -2*o**2 - o + 1. Let k(d) = 7*d**2 - 9*d - 24. Let m(c) = -4*g(c) - k(c). What is the tens digit of m(-18)? 1 Suppose -2*h = -5*w + 24545, -2*w - 67*h = -71*h - 9802. What is the units digit of w? 1 Suppose -54868 = -2*p - 2*h, -4*p - 68*h + 109735 = -63*h. What is the units digit of p? 5 Let g be (-8061)/(-45) + (-2)/15. Suppose 651 = 2*i + g. What is the hundreds digit of i? 2 Suppose 3*w = -9*m + 10*m + 135478, 5*w - 225810 = -m. What is the units digit of w? 1 Let b = -11442 + 23155. What is the ten thousands digit of b? 1 Suppose -m + 5*m = -252. Suppose -2*n - 119 + 27 = 0. Let g = n - m. What is the units digit of g? 7 Suppose -6 = 3*b, -50*b + 45*b = -2*a - 6600. Let o = -2271 - a. What is the units digit of o? 4 Let g(k) = 2*k**2 + 15*k + 92. Let u be g(-7). Suppose 5*z - u = 4*o, -2*o - 38 = -4*z + 30. What is the units digit of z? 7 Suppose -30*u = -26*u + 756. Let l = 138 - u. What is the units digit of l? 7 Let d be 10*2/4 - 3/(-1). Suppose 24 = -d*v + 2*v. What is the units digit of ((-14)/v - 5)/(3/(-100))? 0 Let t = 21 - -13. Let s = t + -34. What is the tens digit of (9 - -58) + s/1? 6 Let z(d) be the third derivative of -475*d**4/12 + d**3/3 - 2*d**2 - 11. What is the units digit of z(-1)? 2 Suppose 2*r + 16*r = 72220 + 26330. What is the thousands digit of r? 5 Suppose 0 = 3*h - 2*a - 12377, -45*h + 4*a = -41*h - 16500. What is the tens digit of h? 2 Suppose 0 = 4*w - 9 - 3. Suppose 1585 = -30*m + 1645. Suppose w*v - v = 3*o + 150, -m*o + 284 = 4*v. What is the units digit of v? 2 Suppose -240*l - 8 = -238*l, 2*l = -3*g + 44545. What is the tens digit of g? 5 Let k = 364 - -336. Suppose 4*i = -j + k, 8*j = 4*j + 4*i + 2820. What is the tens digit of j? 0 Let u(m) be the second derivative of m**4/6 - 5*m**3/6 + m**2 + m. Suppose 2*d - 3*h - 29 = 0, 5*d + 33*h - 28*h = 10. What is the units digit of u(d)? 5 Suppose 121*t = 128*t + 112. What is the units digit of (t + 13 - (-3670)/(-2))/(-2)? 9 Let t(q) = -2*q**2 + q + 16. Let m = 15 + -53. Let i = -38 - m. What is the tens digit of t(i)? 1 Let y = -59 + 62. Suppose 1168 + 101 = m + y*f, 3*f = -12. What is the tens digit of m? 8 Suppose 2*u - 2 = 0, 3*c + 81*u = 76*u + 32. Let h(b) = 6*b**2 + 3. Let o be h(-5). Suppose o + 171 = c*i. What is the tens digit of i? 3 Let g(l) = l**3 + 3*l**2 - 12*l + 16. Let o = 307 - 303. What is the units digit of g(o)? 0 Let j = -3754 - -14209. What is the thousands digit of j? 0 Let o = 53 + -50. Suppose 173 = -o*f + 4*f. What is the tens digit of f? 7 Suppose 4*f - 28 - 20 = 0. Suppose f = 4*a, -1317 = -4*l - a - 2*a. What is the tens digit of l? 2 Let x(a) = a**3 - 3*a**2 + 74*a - 5. What is the hundreds digit of x(14)? 1 Let v(h) = -h**3 - 11*h**2 + 11*h - 12. Let l be v(-9). Let y = -502 - l. Let t = y + 369. What is the tens digit of t? 4 What is the hundreds digit of (2/3)/(355045/355035 + -1)? 6 Let u = -876 - -880. Suppose v + 2726 = 2*m, -u*m + 5*v + 7047 = 1589. What is the hundreds digit of m? 3 Let k = -104 - 20. Let v = -89 - k. What is the tens digit of v/(10/2) + (2 - -1)? 1 Let f be 2/(2 - (-27)/(-14)). What is the units digit of ((-2)/6)/((f/5565)/(-4))? 5 Suppose -6*x + 3 = -5*x. Suppose -84 = x*k + 2*y - 964, 4*y + 1474 = 5*k. What is the tens digit of k? 9 Suppose 1 = -6*h + 61. Suppose -h*j = -11*j. Suppose 3*v - 2*d - 93 = 0, -3*v + 4*v - 3*d - 24 = j. What is the tens digit of v? 3 Let z(x) = x**3 - 1. Let d be z(-2). Let m(j) = 53*j**2 - 52*j**2 + 5*j - j + 2*j + 21. What is the tens digit of m(d)? 4 Suppose -5*l + 4*v + 469100 = 9*v, -2*l + v = -187625. What is the tens digit of l? 1 Let l = 1793 + 10270. What is the units digit of l? 3 Let m = -38 - -75. Suppose -3*u + 56 = -m. What is the units digit of 6*u/3 + 1 + -3? 0 Suppose -45*m + 47*m - 10582 = 0. What is the units digit of m?
{ "pile_set_name": "DM Mathematics" }
6 for n. -2 Let h(f) = f**3 + 9*f**2 + 3*f - 27. Let c be h(-8). Solve -c*w + 11*w = -6 for w. 3 Suppose o - 5*j + 7 = 30, -2*j = 0. Solve -o + 11 = 3*z for z. -4 Let i(d) = 2*d**3 + 61*d**2 + 27*d - 75. Let n be i(-30). Solve -k = n*k for k. 0 Suppose 3*n - n = -4*n. Solve n = w + 6*w - 21 for w. 3 Let p(h) be the second derivative of -6*h - 2*h**2 + 0 - 1/3*h**3. Let w be p(-5). Solve w - 16 = 2*a for a. -5 Suppose 4*m + c + 1 = 0, c - 4*c - 3 = 4*m. Solve g + 1 + 0 = m for g. -1 Suppose -6*p - 3 = -3*p. Let d be (-1)/2 + (27/(-6))/p. Solve 0 = d*w + 2 + 2 for w. -1 Let j(x) = 7*x - 2*x - x**3 + 1 + 1 - 5 - 5*x**2. Let s be j(-6). Solve -2*p - 20 = s*p for p. -4 Suppose 11*h - 287 = -265. Solve h*x + 3 = -1 for x. -2 Suppose 4 = q, 0*g - g - 20 = -4*q. Let w(b) = -2*b - 14. Let a(m) = 4*m + 27. Let j(l) = 6*a(l) + 11*w(l). Let y be j(g). Solve y*s = -4*s + 4 for s. 1 Let w = -93 - -46. Let g = w - -25. Let o = g - -25. Solve 20 = -q - o*q for q. -5 Suppose 5*f + 2*j - 36 + 13 = 0, -2*f + 26 = 5*j. Solve -6*g - 3 = -f*g for g. -1 Let n(h) = 4*h**2 + h - 3. Let p be n(-3). Suppose 3*a + p = 8*a. Let k be 6/a*(-3)/(-1). Solve 0 = q + k*q + 20 for q. -5 Let z(d) = 9*d - 73. Let i be z(10). Suppose -2*r + 10 = x, 5*r - 17 = -2*x + 2. Let q = i - x. Solve -q = 3*a + 2*a for a. -1 Suppose p + 4*p = 3*q + 13, -20 = -4*p. Let i be (9 + -9)/(-2 + 0). Suppose 3*u - v = 3*v + 8, i = 4*u + 5*v + 10. Solve -q*t = -u*t + 20 for t. -5 Let k(h) = -2*h + 6. Let g be k(-8). Let i = g - -3. Solve -n - 4*n = -i for n. 5 Suppose -3*x - 18 + 15 = 0. Let i be (-3)/((-19)/16 - x). Solve 3*v + i = -v for v. -4 Let m be 97 + -5 + (-4)/4. Suppose -43 + m = 8*p. Solve l + p = 4*l for l. 2 Let h(z) = -z**2 - 7*z - 4. Let a be h(-6). Let q(v) = v**3 - 26*v**2 - 58*v + 59. Let o be q(28). Solve -a*j = o*j for j. 0 Let j = 28 + -26. Solve 0 = -3*w - j - 13 for w. -5 Suppose 14*b - 9*b = 15. Suppose -b*c - 2*n - 6 = n, 0 = 4*c + 2*n. Solve c*m = -13 + 5 for m. -4 Let b(h) = -3*h**3 + 18*h**2 + 10*h - 7. Let s be b(6). Let p = s + -50. Solve -p = -5*u + 22 for u. 5 Let t be 3/2*(-16)/(-12). Suppose -t*f - 22 = -4*i, f = 5*i - 2*f - 28. Solve 3 = -i*h - 2 for h. -1 Suppose 2*m + 15 = 5*m. Suppose v - 2*l - 18 = 2*l, -l = -m*v + 33. Solve -3*g + 6*g = -v for g. -2 Let h(q) = q**2 - 3*q + 2. Let r be h(2). Let a be (3 - 0) + 3/9*r. Solve 2*y + a*y + 5 = 0 for y. -1 Suppose 0 = -q + 4*q - 12. Let l(a) = a**3 - 14*a**2 + 25*a - 10. Let w be l(12). Solve -r - w = -q for r. 2 Suppose -2*h - 2*h = 4*i + 8, 2*i - 6 = 0. Let y(p) = p**2 + 3*p - 4. Let m be y(h). Solve -9 - m = 3*r for r. -5 Let p = 16 + -10. Let c(s) = 10*s + 6. Let k be c(13). Suppose -2*t = -p*t + k. Solve t = 5*w + 9 for w. 5 Let z(v) = -v**2 - 2*v + 5. Let b be z(-5). Let d be (b/3)/((-6)/9). Suppose -d*q = -q. Solve q = 4*a + a + 20 for a. -4 Let d = 156 + -156. Solve d = -8*k + 4*k - 12 for k. -3 Let z(s) = 3*s**2 + 7*s - 10. Let g be z(-4). Suppose 8*k - 3*k + 5*r = g, 0 = 3*r + 3. Solve 25 = k*p + 2*p for p. 5 Suppose -10 + 22 = 6*n. Suppose r - 6 = 2*t + 4*r, 3*t + n*r = 1. Solve -3*i + t = -6 for i. 3 Suppose -3*w = -4*j + 2, -w + 0*j - 4*j = -10. Let l(t) = -3*t + t**w - 6 + 5 + t. Let p be l(-1). Solve -p*k = -k - 3 for k. 3 Let m = -45 + 61. Let d = 2 - 2. Solve d = -z + 5*z - m for z. 4 Let s(u) = u + 8. Suppose 13 = 3*a - 20. Let g = 5 - a. Let c be s(g). Solve -5*w + 3 = -c for w. 1 Let v = 2 + -3. Let f(z) = 3*z**3. Let y be f(v). Let d be 2 + (-1 - y) + -1. Solve 0 = d*h - 7*h for h. 0 Suppose -4*f = -3*u - f + 48, 2*f = -u + 13. Solve -5*s = -8*s + u for s. 5 Suppose 0 = -m + 5*n - 17, 17 = 2*m + 4*n - 5. Suppose -m*f = -5*u - 27, 8*f - 5*u - 36 = 4*f. Solve -2*a + f = a for a. 3 Let d(b) = -4*b - 32. Let m be d(-10). Let v(j) = j**3 + 4*j**2 - 7*j - 6. Let y be v(-5). Suppose 5*r - 10 = 0, u = 4*u - 5*r + y. Solve -u*n + 0*n = -m for n. 4 Let h(j) be the second derivative of j**3/3 - 6*j**2 + j. Suppose 0 = 8*g - 14 - 42. Let k be h(g). Solve 6*c = k*c for c. 0 Suppose 0*z = -5*z + 55. Suppose 0 = z*x - 13*x. Let j(h) = -h**3 + 2*h + 1. Let g be j(-1). Solve g*o - 2*o - 2 = x for o. -1 Let y be 767/65 - 2/(-10). Suppose -2*l - y = -20. Solve -2*n + l = 2*n for n. 1 Let s be 4/3*((9 - 2) + -4). Solve 0*r - s = -r for r. 4 Let v(b) = -b**3 - 3*b**2 + b - 10. Let o(t) = -5*t**3 - t**2 + 2*t. Let y be o(1). Let m be v(y). Solve 0 = m*q + 2 for q. -1 Let o(p) = -5*p - 55. Let m(t) = 4*t + 53. Let i(y) = 3*m(y) + 4*o(y). Let d be i(-8). Suppose 3*l - n - 7 = 0, -3 = 4*l - n - 14. Solve -d*b + l = b for b. 1 Suppose -b - b + 8 = 0. Let l be b/(8/(-5))*32/(-5). Solve 4*r = -l - 0 for r. -4 Suppose -5*k = -5*w - 305, 3*w + 58 = k + 5*w. Let f be (k/(-72))/(2/(-12)). Let i be (-25)/(-75) - f/(-3). Solve i*p + 2*p = -8 for p. -2 Suppose -3*u - 5 = -4*s, 0*s - s + 2*u - 5 = 0. Suppose -4*d - 5*g = -d - 7, -5*d = 5*g - 25. Solve -4 = -d*p + s*p for p. 1 Let x be (20/(-8) + 3)*0. Let l be 0 + 0/(x - -4). Solve -f = -l*f + 5 for f. -5 Let x(s) = -s + 3. Let k be x(-1). Suppose -3*r - k*y + 18 = 0, 10*r - 6*r = -y + 11. Solve 22 = 4*g + r for g. 5 Let n = 11 - 7. Suppose -2*r - 20 = -3*r + 4*x, -x - 5 = 3*r. Suppose r = -4*k - 0*k + 16. Solve -n*y = -2*y - k for y. 2 Suppose 74 + 6 = 8*q. Solve -2*c = -q*c for c. 0 Let f(o) = -9*o - 8. Let x be f(-8). Let g = x + -62. Solve g*h - 6 = 5*h for h. -2 Suppose -y = 8*g - 3*g + 11, 0 = -2*y + 4*g + 34. Let j = 18 - y. Solve -j = -0*s + 3*s for s. -3 Let q = 19 - -24. Let x = -39 + q. Solve 7 = x*m + 3 for m. 1 Suppose 10 = o - w - 10, 0 = -2*o + 3*w + 36. Solve o = 5*f + 3*f for f. 3 Let w(o) = -o**2 + 25*o - 21. Let t be 5*((-112)/(-21))/(10/9). Let u be w(t). Solve 0 = 3*p + u for p. -1 Let h(a) = a + 1. Let n(p) = 6. Let y(w) = -2*h(w) + n(w). Let d be y(2). Solve 2*f - f - 1 = d for f. 1 Let j(g) = -7*g - 52. Let y be j(-8). Solve y = -s + 3*s for s. 2 Let m(c) = -7*c - 20. Let f be m(-4). Suppose -f*d + 50 = 2*d. Solve -2*q + d = -7*q for q. -1 Let b(k) = 5*k**3 - 35*k**2 + 2*k - 1. Let x be b(7). Solve 5*j - 7 = x for j. 4 Let n be (-6)/(-4)*(-140)/(-42). Suppose -n*f - w = -6 - 0, -w = -f. Suppose 2*g = -2*h - 2, -2*h + f = -0*g - g. Solve 0 = -2*s - h*s - 10 for s. -5 Let t(k) = -k**2 - 10*k - 9. Suppose i + 38 = -4*d - 0*i, -5*d - 3*i - 51 = 0. Let y be t(d). Suppose y*c + 27 = 3*c. Solve -q - c = -4*q for q. 3 Let z be (0 + 0)/(-3 + (0 - -5)). Suppose -4*b - 5*t - 12 = 0, 5*t + 22 = b - z. Solve -2 = b*d - 3*d for d. 2 Let y(v) = v - 6. Let w be (9 - 14)*(-12)/10. Let m be y(w). Solve a + 5 - 1 = m for a. -4 Let x = -99 - -104. Solve x*z + 16 = z for z. -4 Let q(u) = -1 - 85*u**2 - u**3 + 90*u**2 - 3. Let d be q(3). Solve d = 2*l + 8 for l. 3 Suppose 184 = 8*d + 144. Solve 4 = d*b - 6 for b. 2 Suppose -2*c = c - 4*f + 105, -5*f = 15. Let r = c + 41. Solve r*q + 9 = 1 for q. -4 Let o(a) = -a**3 + 14*a**2 + 14*a + 18. Let v be o(15). Suppose -u = -v*u + 6. Solve c = -u*c + 8 for c. 2 Let r = 326 + -457. Let t = 133 + r. Suppose 3*c = -6, j + 8 = -c - 4*c. Solve -t*y + j = -y for y. 2 Suppose 5 = -5*w + 4*c + 16, -5*c = 4*w - 17. Suppose w*y = 4*y - 2. Solve -y*k = 1 - 3 for k. 1 Let u(s) = 22*s**3. Let l be u(1). Suppose -18 = j - l. Solve -5*x - 6 = j for x. -2 Let q(z) = 5*z - 1. Let r be q(1). Suppose -4*b + 2*j = -24, -5*b - r*j + 33 - 3 = 0. Solve b*h - 4*h + 10 = 0 for h. -5 Let w(q) = -q - 2. Let m be w(5). Suppose -3*y = 4*y - 133. Let k = m + y. Solve -f + 5*f = k for f. 3 Let k(a) = -6*a + 53. Let b be k(8). Suppose -15 = -l + b*x + 2, 3*l - 9 = x. Solve -5*r + l = -13 for r. 3 Suppose -2*r + 2*a = -8, -18*r + 2*a = -14*r - 8. Solve m - 13 + 8 = r for m. 5 Let i = 5 - 2. Let n be (-1)/(-1) + (-4 - -9). Solve 0*o = i*o - n for o. 2 Let m = 10 + -7. Let q be (-1 + 0)*(-24)/m. Let f(p) = -p**2 + 7*p + 10. Let i be f(q). Solve -6 = -4*l + i for l. 2 Suppose 0 = -112*d + 52*d + 420. Solve d*z - 3*z = -20 for z. -5 Let c = -60 - -68. Suppose -c = -4*r + 2*i - 6*i, i = 3*r - 10. Solve r*j - 10 = j for j. 5 Suppose 3*t + 5*w = -19, -6*w = 5*t - 4*w. Solve -t*c = -22 + 12 for c. 5 Let x be 2 + ((-10)/(-5) - -16) + -7. Solve -6*w - 28 = -x*w for w. 4 Let o = 20 - 7. Let c = 16 - o. Solve -c*k + 4 = -7*k for k. -1 Let s(o) = -75*o**2 - 1. Let c be s(1). Let t
{ "pile_set_name": "DM Mathematics" }
+ 2*h - 1. What is i(1)? -33 Let b(d) = 7*d**2 - d + 6. What is b(2)? 32 Let g(r) = r**2 - 9*r + 17. Determine g(6). -1 Let t(n) = -13*n - 164. Give t(-13). 5 Let g(b) = b**3 + b**2 - 5*b - 4. Determine g(-2). 2 Let d(o) = -16*o + 23. Give d(-7). 135 Let u(n) = n**2 - 13*n + 27. What is u(10)? -3 Let c(i) = 11*i**2 - 12*i + 10. Determine c(1). 9 Let p(z) = -9*z + 58. What is p(6)? 4 Let f(z) = -z**2 + 19*z - 90. What is f(9)? 0 Let n(v) = -19*v**3 - 51*v**2 + 6. Calculate n(-3). 60 Let x(c) = -18*c - 154. Calculate x(-8). -10 Let i(n) = 13*n + 6. Give i(4). 58 Let b(n) = 9*n - 2. Give b(-2). -20 Let j(y) = -y**3 - 3*y**2 + 4*y + 3. Give j(-4). 3 Let k(t) = -t**2 + 110. What is k(-9)? 29 Let f(w) = w**3 - 21*w**2 + 20*w - 6. Give f(20). -6 Let r(s) = s**3 + 26*s**2 - 30*s - 32. Calculate r(-27). 49 Let o(s) = 3*s**2 + 13*s - 16. What is o(-7)? 40 Let j(z) = -z**2 - 3*z + 4. Calculate j(0). 4 Let g(j) = -j**3 + j + 13. Give g(-3). 37 Let t(m) = 11*m + 2. What is t(-7)? -75 Let l(s) = -4*s + 14. Give l(-3). 26 Let a(h) = h**3 - 14*h**2 + h - 9. What is a(14)? 5 Let d(v) = v**2 + 2*v + 56. Determine d(0). 56 Let u(g) = -3*g + 93. Calculate u(28). 9 Let o(f) = 14*f - 4. Determine o(-7). -102 Let w(q) = 22*q + 816. Determine w(-37). 2 Let o(u) = -u**3 + 14*u**2 - 23*u - 21. Determine o(12). -9 Let v(r) = 3*r + 3. Give v(3). 12 Let t(s) = s**2 - 13*s + 20. Determine t(4). -16 Let y(v) = 5*v**2 - 2*v + 1. Calculate y(3). 40 Let d(q) = -q**2 + 15*q - 38. Calculate d(13). -12 Let n(h) = -h + 24. Calculate n(-19). 43 Let j(t) = 14*t**2 - 2. What is j(-2)? 54 Let g(n) = 2*n**2 - 4*n - 17. Calculate g(7). 53 Let v(l) = 2*l**3 - 16*l**2 - 15*l - 26. Calculate v(9). 1 Let s(t) = t**2 - 20*t + 19. Calculate s(18). -17 Let g(b) = -b**2 - b + 27. Give g(-9). -45 Let m(u) = -161*u**2 + 3*u + 1. Calculate m(1). -157 Let s(i) = i**2 - 11*i + 11. What is s(11)? 11 Let y(j) = -j**2 - j + 9. Calculate y(8). -63 Let w(g) = 22*g - 88. Give w(4). 0 Let j(b) = -2*b**2 - b - 4. Determine j(-2). -10 Let x(y) = 22*y - 152. Calculate x(6). -20 Let q(t) = -2*t**2 + 24*t + 19. Give q(12). 19 Let r(l) = -9*l**3 - 2*l**2 - l - 3. Determine r(-2). 63 Let k(f) = -f**2 + 10*f + 113. Give k(17). -6 Let s(h) = -35*h + 3. What is s(-2)? 73 Let m(l) = -21*l + 5. Determine m(6). -121 Let v(s) = s**3 + 15*s**2 + 11*s + 12. What is v(-14)? 54 Let k(i) = 2*i**3 - 14*i**2 + 7*i - 10. Give k(6). -40 Let v(u) = u**2 + 9*u + 22. Determine v(-4). 2 Let c(o) = -o**3 - 4*o**2 - 5*o - 4. Give c(-4). 16 Let i(m) = 2*m**2 + 6*m - 6. What is i(-5)? 14 Let w(d) = -d**3 - 20*d**2 - 20*d - 23. Give w(-19). -4 Let p(x) = 2*x**2 - 16*x - 18. Determine p(9). 0 Let v(w) = -7*w + 12. Give v(-3). 33 Let k(l) = -l**3 - 5*l**2 - 3*l + 2. What is k(-5)? 17 Let n(x) = x**2 + 10*x - 20. What is n(-11)? -9 Let r(o) = o**3 - 10*o**2 + 8*o - 2. What is r(9)? -11 Let v(s) = s**2 + 11*s + 20. Give v(-9). 2 Let w(z) = -2*z + 28. What is w(16)? -4 Let s(z) = -z**3 - 18*z**2 + 9*z - 184. Determine s(-19). 6 Let u(d) = d**3 - 8*d**2 + 2*d + 1. Calculate u(8). 17 Let l(f) = f**3 - 38*f**2 + f - 57. Give l(38). -19 Let o(s) = 55*s + 1374. Calculate o(-25). -1 Let a(o) = -33*o - 81. Calculate a(-3). 18 Let v(b) = -b**2 + 26*b - 44. Calculate v(24). 4 Let d(n) = n**2 + 11*n - 8. Give d(-11). -8 Let b(s) = 4*s**2 + 5*s + 2. Determine b(-3). 23 Let c(a) = 26*a + 109. What is c(0)? 109 Let g(t) = t**3 + 15*t**2 + 13*t - 11. Determine g(-14). 3 Let f(i) = -i**3 - 20*i**2 + 10. Determine f(-20). 10 Let s(c) = -c**3 - c**2 + c - 6. Give s(0). -6 Let t(r) = -r**2 - 8*r - 5. Determine t(-5). 10 Let r(t) = -t**3 + 8*t**2 - 16*t - 4. Give r(5). -9 Let k(j) = 20*j**2 - 8*j + 2. Determine k(2). 66 Let h(i) = -3*i + 6. Determine h(-5). 21 Let h(d) = -d**2 - 3*d - 6. Give h(-3). -6 Let s(a) = 18*a + 113. Give s(-6). 5 Let b(m) = -8*m**2 - 21*m - 10. Calculate b(-3). -19 Let h(d) = -d**2 + 3*d + 1. What is h(-1)? -3 Let k(s) = -5*s - 157. Give k(-31). -2 Let k(v) = -v**2 + 6*v + 6. What is k(8)? -10 Let x(f) = 4*f - 18. Calculate x(6). 6 Let l(v) = -v**2 - 4*v - 30. Give l(-4). -30 Let k(n) = -n**2 - n - 1. Determine k(1). -3 Let k(t) = 47*t + 16. Calculate k(3). 157 Let r(w) = -2*w**2 + 5*w - 2. Calculate r(5). -27 Let v(p) = p**3 + 4*p**2 - 22*p - 15. Determine v(-7). -8 Let k(z) = -2*z - 14. Give k(-6). -2 Let b(s) = -15*s - 5. Give b(0). -5 Let v(l) = -35*l - 9. Determine v(-2). 61 Let w(l) = -2*l**3 + 9*l**2 - 14. Determine w(4). 2 Let r(x) = 8*x**3 + 3*x**2 + 2*x + 1. What is r(-1)? -6 Let m(h) = -5*h**2 - 32. Calculate m(5). -157 Let j(v) = -2*v**2 - 3*v. What is j(-3)? -9 Let d(r) = r + 27. Give d(-14). 13 Let s(c) = c**2 + 9*c - 8. Determine s(-10). 2 Let x(g) = -4*g**3 - 2*g**2 + g - 2. Give x(-3). 85 Let f(s) = -12*s - 158. Determine f(-14). 10 Let k(l) = -l**2 + 4*l - 10. Calculate k(0). -10 Let h(w) = -4*w**2 + 3*w + 5. What is h(-2)? -17 Let l(p) = -p**2 - 16*p + 30. Give l(-17). 13 Let v(x) = -x**3 - 8*x**2 - 7*x + 6. Calculate v(-7). 6 Let f(t) = -t**3 + 12*t**2 - 9*t - 35. What is f(11)? -13 Let z(w) = -w**2 + 30*w - 57. Calculate z(28). -1 Let f(h) = -2*h**2 + 2*h + 9. What is f(4)? -15 Let r(u) = 18*u**2 - 4*u - 7. Calculate r(-2). 73 Let f(p) = p - 13. Give f(4). -9 Let k(l) = -8*l + 23. What is k(4)? -9 Let t(z) = 4*z**2 + 4*z - 4. Calculate t(-2). 4 Let f(n) = -n**3 + 6*n**2 - 8*n - 8. Give f(7). -113 Let n(k) = 3*k + 32. Determine n(-7). 11 Let v(j) = -2*j**2 - 18*j - 12. Calculate v(-8). 4 Let f(k) = -10*k**2 - 4*k + 2. Give f(1). -12 Let r(x) = -19*x**3 - 2*x**2 - 2*x - 1. Calculate r(-1). 18 Let w(a) = 9*a - 2. Determine w(-6). -56 Let c(k) = k**3 + 36*k**2 - 82*k - 234. Give c(-38). -6 Let s(a) = a - 1. What is s(11)? 10 Let q(o) = -o**3 - 5*o**2 - 3. What is q(-6)? 33 Let s(h) = h**2 + 5*h - 44. What is s(-10)? 6 Let h(b) = 2*b + 23. What is h(-12)? -1 Let x(q) = -q**3 - 9*q**2 - 8*q + 1. What is x(-8)? 1 Let u(b) = -2*b**2 + 81*b + 121. Determine u(42). -5 Let z(m) = -10*m**2 - 9*m + 24. Determine z(2). -34 Let t(f) = 60*f**2 + 2*f - 4. Calculate t(1). 58 Let w(d) = -d**3 + 11*d**2 - 12*d + 5. Determine w(11). -127 Let c(v) = 2*v**2 + 2*v - 36. Determine c(-6). 24 Let k(q) = -q**3 + 11*q**2 + 10. Calculate k(5). 160 Let c(s) = 4*s - 2. Determine c(-3). -14 Let g(f) = f**3 - 20*f**2 + 22*f - 52. Give g(19). 5 Let u(o) = o - 106. Determine u(0). -106 Let k(h) = -h**2 + 3*h + 39. What is k(9)? -15 Let s(d) = -d**3 + 5*d - 5. What is s(2)? -3 Let j(i) = 2*i**3 - 5*i**2 - 3*i - 11. What is j(5)? 99 Let d(c) = -4*c**2 - c - 1. Determine d(-3). -34 Let p(u) = u**2 + 6*u + 6. Calculate p(-2). -2 Let p(x) = x**3 + 9*x**2 + 18*x - 3. What is p(-5)? 7 Let j(o) = o**3 - 4*o**2 - 7*o + 2. Calculate j(6). 32 Let c(n) = 4*n + 13. Determine c(-3). 1 Let u(v) = v**3 - 9*v**2 - 7*v - 15. Give u(10). 15 Let t(b) = -b**3 + 2*b**2 + 32*b + 1. Determine t(-5). 16 Let d(q) = 9*q**3 + q. Calculate d(1). 10 Let b(n) = -n**3 - 7*n**2 + 8*n - 2. Calculate b(-8). -2 Let v(i) = -i + 19. Determine v(15). 4 Let r(q) = 7*q + 22. Determine r(-4). -6 Let j(n) = n**3 - 25*n**2 - 27*n + 37. What is j(26)? 11 Let l(y) = 9*y**3 - 1. What is l(-1)? -10 Let n(z) = z**2 + 19*z - 42. What is n(-21)? 0 Let j(o) = 24*o**3 + o**2 + 2*o. Determine j(-1). -25 Let r(l) = -17*l - 46. Determine r(-4). 22 Let t(p) = p**2 - 3*p - 4. Give t(6). 14 Let f(a) = 12*a + 17. Determine f(-4). -31 Let x(b) = -8*b - 66. Give x(-14). 46 Let r(a) = -3*a**2 + 6*a - 4. Determine r(4). -28 Let r(j) = -11*j + 95. Determine r(9). -4 Let q(p) = -5*p - 6. Determine q(-8). 34 Let b(u) = 12*u**3 - 3*u**2 - 16*u - 3. Give b(-2). -79 Let v(w) = -w**3 + 7*w**2 - 10*w + 18. Give v(6). -6 Let w(s) = -s**3 - 5*s**2 + 2*s. What is w(-5)? -10 Let n(s) = -2*s**2 + 9*s - 8. Give n(5). -13 Let v(h) = -h**3 + 11*h**2 + 5*h + 39. Calculate v(12). -45 Let v(x) = -2*x + 2. What is v(4)? -6 Let g(k) = -k + 105. Calculate g(25). 80 Let f(b) = b + 9. Determine f(-11). -2 Let t(j) = j**3 - 10*j**2 + 4*j + 22. What is t(9)? -23 Let o(d) = -4*d + 30. Calculate o(6). 6 Let o(c) = 3*c + 8. Determine o(6). 26 Let r(g) = -g**2 + 5*g + 10. Calculate r(10). -40 Let m(y) = -y**2 - 6*y + 1. Calculate m(-6). 1 Let p(d) = d**3 - 8*d**2 + 5*d + 4. Determine p(7). -10 Let t(m) = -m**3 + 9*m**2 - m - 3. Give t(9)
{ "pile_set_name": "DM Mathematics" }
Let v(a) = -a**3 - 25*a**2 - 11*a + 445. Calculate v(-5). 0 Let n(x) = -11*x**2 - 121*x + 654. Determine n(-15). -6 Let z(o) = -133*o - 1713. Determine z(-13). 16 Let d(j) = j**3 + 2*j**2 - 15*j + 23. Calculate d(-5). 23 Let g(p) = 2*p**3 + 26*p**2 + 29*p + 72. What is g(-12)? 12 Let l(s) = 32*s + 1527. Determine l(-39). 279 Let w(f) = f**3 + 111*f**2 + 1264*f - 979. Give w(-98). 1 Let l(b) = 3*b**3 - 14*b**2 - 57*b + 35. Calculate l(-4). -153 Let j(u) = -11*u**2 + 65*u - 24. Calculate j(6). -30 Let r(p) = 45*p + 6767. Give r(-151). -28 Let j(c) = -20*c**2 - c + 3. Calculate j(1). -18 Let g(l) = l**3 + 13*l**2 - 37*l - 101. Determine g(-15). 4 Let y(g) = -g**2 - 176*g - 7556. What is y(-74)? -8 Let z(p) = 490*p + 5379. Give z(-11). -11 Let z(d) = 369*d + 8124. Determine z(-22). 6 Let w(l) = -5*l**2 - 259*l - 526. Calculate w(-2). -28 Let g(y) = 2*y + 9. Calculate g(-29). -49 Let m(o) = o**3 + 31*o**2 + 66*o + 245. Determine m(-29). 13 Let h(q) = 3*q**3 + 19*q**2 + 5*q + 4. Determine h(-6). 10 Let k(t) = -521*t - 77107. Determine k(-148). 1 Let l(h) = -4*h**3 + 3*h**2 + 10*h + 14. What is l(-2)? 38 Let l(f) = 3*f**2 + 17*f + 45. Calculate l(-4). 25 Let i(c) = -9*c**2 - 387*c + 75. Calculate i(-43). 75 Let m(k) = -103*k**2 - 824*k + 7. What is m(-8)? 7 Let i(k) = -k**3 - 136*k**2 + 559*k - 141. Determine i(-140). -1 Let i(d) = d**2 + 55*d + 451. Calculate i(-45). 1 Let r(m) = -m**2 - 1128*m + 7942. Give r(7). -3 Let u(h) = -h**3 + 9*h**2 - 29*h + 36. Determine u(2). 6 Let h(m) = 41*m**2 - 4*m + 6. What is h(1)? 43 Let r(h) = h - 59. Give r(-11). -70 Let b(v) = -12*v - 233. Determine b(-22). 31 Let o(x) = -x**2 + 2352*x - 90206. Determine o(39). 1 Let h(r) = -30*r - 1407. Give h(-47). 3 Let a(k) = -54*k + 3132. Give a(58). 0 Let o(d) = d**2 - 5*d - 105. Determine o(-6). -39 Let k(u) = 66*u + 3357. Determine k(-51). -9 Let r(b) = -134*b + 7488. Calculate r(56). -16 Let v(h) = 33*h + 713. What is v(-21)? 20 Let y(v) = 9*v**2 + 56*v + 267. Determine y(-4). 187 Let n(o) = o**3 + 21*o**2 + 61*o + 10. What is n(-18)? -116 Let v(u) = 5*u**2 + 90*u + 22. Give v(-11). -363 Let y(q) = q - 66. What is y(-6)? -72 Let y(f) = -28*f + 667. What is y(24)? -5 Let g(u) = u**3 - 41*u**2 + 154*u - 26. Give g(4). -2 Let x(h) = -h**3 - h**2 + 8*h - 6. Give x(2). -2 Let p(q) = -q**2 - 2254*q + 15839. Calculate p(7). 12 Let m(w) = -77*w + 287. Give m(4). -21 Let k(s) = 4*s**2 - 152*s - 502. Give k(41). -10 Let h(v) = 8*v + 107. Calculate h(-18). -37 Let x(l) = -l**3 + 16*l**2 + 16*l + 161. Give x(18). -199 Let m(c) = 137*c - 663. Calculate m(5). 22 Let f(d) = -31*d - 12464. Give f(-402). -2 Let c(i) = -10*i - 21. Calculate c(4). -61 Let k(b) = 6181*b + 18537. What is k(-3)? -6 Let a(f) = -f**3 - 3*f**2 + 62*f + 169. Determine a(-5). -91 Let c(k) = -162*k - 802. Give c(-5). 8 Let j(a) = -15*a - 388. Determine j(21). -703 Let o(q) = 2*q + 152. Determine o(-32). 88 Let g(x) = -31762*x + 95289. What is g(3)? 3 Let v(a) = a**2 + 1139*a - 41081. Give v(35). 9 Let f(w) = -3*w**3 - 34*w**2 - 7*w - 20. Determine f(-11). -64 Let j(n) = 2*n**3 - 2*n**2 + 6*n - 55. Determine j(4). 65 Let q(l) = 7*l + 17. Give q(36). 269 Let w(i) = -i**2 - 11*i + 77. Give w(-13). 51 Let n(a) = 115*a**2 + 1268*a + 33. Calculate n(-11). 0 Let h(z) = 37*z**2 + 104*z - 19. Determine h(-3). 2 Let q(b) = 170*b - 306. Calculate q(2). 34 Let t(r) = -3*r**3 + 27*r**2 + 33*r - 21. Calculate t(10). 9 Let n(t) = t**2 + 46*t - 1859. What is n(26)? 13 Let r(u) = 4*u**3 - 16*u**2 + 25*u + 6. What is r(2)? 24 Let m(h) = h**3 - 16*h**2 - 11. Determine m(16). -11 Let i(j) = -7*j - 39. What is i(11)? -116 Let d(t) = 19*t**3 - 437*t**2 + 3. Determine d(23). 3 Let x(g) = -g**3 + 13*g**2 - 7*g - 25. Determine x(12). 35 Let b(m) = m**3 + 20*m**2 + 17*m - 59. What is b(-19)? -21 Let g(o) = -6*o - 152. What is g(-21)? -26 Let j(l) = -2*l**3 + 2*l**2 + 37*l - 188. Calculate j(5). -203 Let z(a) = a**2 - 15*a - 240. What is z(-6)? -114 Let a(q) = -3*q**2 - 7*q - 17. Calculate a(-4). -37 Let v(h) = 2*h**2 + 129*h + 958. What is v(-56)? 6 Let j(n) = n**2 - 16*n - 2288. Give j(-41). 49 Let s(n) = -239*n - 28923. What is s(-121)? -4 Let p(n) = 729*n**3 + 4*n**2 - 54*n - 57. Give p(-1). -728 Let z(i) = -288*i + 127. Give z(-1). 415 Let w(a) = 3*a**2 + 51*a - 57. Calculate w(-18). -3 Let n(x) = 3*x**2 - 39*x - 599. Give n(22). -5 Let h(o) = -o**3 + 98*o**2 - 2001*o - 4. What is h(69)? -4 Let w(c) = 167*c + 25. Determine w(-1). -142 Let p(j) = -25*j + 271. Determine p(10). 21 Let d(s) = 2*s**3 - 19*s**2 - 55*s - 1. Give d(3). -283 Let r(i) = -25*i - 778. Determine r(-29). -53 Let g(x) = -x**3 - 5*x**2 + 15*x + 10. Determine g(-7). 3 Let t(d) = 535*d**2 + 1048*d - 4. What is t(-2)? 40 Let t(g) = g**2 - 181*g + 1021. What is t(6)? -29 Let y(x) = 1710*x + 138504. Give y(-81). -6 Let w(y) = 6*y**3 - 4*y**2 + 10*y + 1. What is w(-5)? -899 Let f(l) = 4*l**2 + 202*l + 830. Give f(-46). 2 Let p(s) = -153*s**2 + 4900*s - 118. What is p(32)? 10 Let h(x) = x**3 - 10*x**2 - x - 204. Calculate h(12). 72 Let v(s) = -433*s - 502. Determine v(-1). -69 Let w(a) = -2*a**2 + 6*a + 29. What is w(5)? 9 Let v(j) = -j**3 + j**2 + 21*j - 23. Calculate v(5). -18 Let h(q) = 117*q - 588. What is h(5)? -3 Let p(h) = 168*h**2 + h - 6. What is p(0)? -6 Let t(n) = n**3 + 15*n**2 + 6*n - 48. Determine t(-13). 212 Let p(b) = -2*b**2 - 16*b - 55. What is p(-7)? -41 Let t(w) = 13*w - 491. What is t(36)? -23 Let r(t) = 4*t + 210. Calculate r(-66). -54 Let j(w) = 60*w**2 + 1497*w - 81. What is j(-25)? -6 Let h(l) = -l**3 - 16*l**2 - 44*l + 159. Determine h(-10). -1 Let n(w) = w**2 - 13*w - 2035. Determine n(51). -97 Let v(b) = 441*b - 1317. Give v(3). 6 Let m(p) = 5*p**3 + 3*p**2 - 7*p + 13. Determine m(3). 154 Let s(l) = -l**3 + 24*l**2 + 37*l + 25. Give s(26). -365 Let w(u) = 3450*u - 3443. Calculate w(1). 7 Let n(h) = -70*h - 130. Determine n(-2). 10 Let d(w) = -w**3 + 13*w**2 + 828*w + 125. Determine d(36). 125 Let n(x) = 2*x**2 + 254*x - 2155. What is n(8)? 5 Let y(l) = -l**3 - 6*l**2 + 55*l + 234. Give y(-8). -78 Let n(h) = 209*h + 913. Give n(-5). -132 Let h(j) = 6*j**2 + 36*j - 162. Determine h(3). 0 Let h(y) = -147*y - 10725. Give h(-73). 6 Let x(b) = 2*b**3 - 65*b**2 - 53*b + 2688. What is x(32)? -32 Let z(f) = -17*f**3 - 4*f**2 + 7*f + 3. Determine z(2). -135 Let q(n) = -n**3 - 5*n**2 + 51*n + 223. Calculate q(-6). -47 Let n(t) = t**3 + 24*t**2 + 37*t - 47. Calculate n(-22). 107 Let z(s) = -2*s**2 - 49*s + 416. Calculate z(9). -187 Let c(w) = 189*w - 1379. Calculate c(8). 133 Let v(j) = 6*j**2 + 12*j - 163. Give v(-6). -19 Let y(h) = -h**3 - h**2 + 17*h + 16. What is y(-6)? 94 Let c(o) = 67*o + 287. What is c(-4)? 19 Let b(j) = j**3 - 50*j**2 - 2*j - 74. What is b(50)? -174 Let c(l) = -145*l + 569. Determine c(4). -11 Let s(x) = -x**3 - 52*x**2 - 73*x + 1375. Determine s(-50). 25 Let p(o) = -9*o**3 + 14*o**2 - 13*o - 2. Determine p(1). -10 Let n(x) = -4*x**2 - 681*x + 7022. Calculate n(-180). 2 Let n(z) = -2*z**2 - 197*z - 3077. Determine n(-79). 4 Let b(a) = 3*a**2 - 28*a + 140. What is b(6)? 80 Let h(y) = -595*y + 4834. Determine h(8). 74 Let h(r) = r**3 + 9*r**2 + 51*r + 256. Calculate h(-7). -3 Let z(j) = 10*j - 73. What is z(-5)? -123 Let f(g) = g**3 - 15*g - 4. Calculate f(-4). -8 Let h(b) = b**2 + 20*b - 1219. Determine h(27). 50 Let k(b) = -10*b**2 - 342*b - 63. Give k(-34). 5 Let a(z) = 5*z**3 + 23*z**2 - 20*z - 117. Calculate a(-5). -67 Let l(p) = p**3 + 9*p**2 - 139*p + 9. What is l(8)? -15 Let h(s) = 138*s**2 + 152*s. Determine h(-1). -14 Let o(j) = -66*j - 117. Determine o(-6). 279 Let b(j) = -163*j - 1784. Determine b(-11). 9 Let p(z) = 19*z - 48. Determine p(2). -10 Let n(a) = -6*a - 115. Determine n(15). -205 Let y(z) = -2201*z + 2189. Calculate y(1). -12 Let z(l) = -48*l + 769. Give z(4). 577 Let a(j) = j**3 - 60*j**2 + 112*j + 339. Give a(58). 107 Let u(d) = d**2 + 58*d + 353. Calculate u(-51). -4 Let i(z) = z**3 - 80*z**2 + 159*z - 241. Calculate i(78). -7 Let f(q) = 6*q - 222. What is f(35)? -12 Let m(z) = -4*z**3 - 2*z**2 + 5*z + 1. Calculate m(-3). 76 Let b(y) = -y**3 + y**2 + 14*y + 95. Calculate b(6). -1 Let t(y) = y**3 + 149*y**2 + 4*y + 599. Give t(-149). 3 Let j(p) = p**2 - 44*p + 257. Determine j(7). -2 Let a(n) = -4*n**2 + 7
{ "pile_set_name": "DM Mathematics" }
q. -420*q Suppose -20 = 13*l - 1047. Find the first derivative of -l + 4 - 34 - 58 - 43*b wrt b. -43 Let g(j) be the third derivative of -27*j**5 + 33*j**4/2 - 1238*j**2. Find the second derivative of g(k) wrt k. -3240 Let a = -2 - 4. Let o(c) = -26*c - 4. Let k(l) = 25*l + 5. Let x(w) = a*o(w) - 5*k(w). What is the derivative of x(r) wrt r? 31 Let a(r) = 3*r**2 - 30*r + 2. Let q be a(10). What is the second derivative of -321*i - 189*i**q - 110*i + 267*i wrt i? -378 Suppose -7*w = -9*w + 56. Let p = w + -22. What is the third derivative of -i**2 - 8*i**6 + p*i**6 - 10*i**2 wrt i? -240*i**3 Let j(q) = 3031*q**2 + 44*q - 3984. Let g(a) = 15156*a**2 + 209*a - 19919. Let u(m) = -4*g(m) + 19*j(m). Differentiate u(c) wrt c. -6070*c Let l be ((-40)/(-100) - 2/5)/(-2). Suppose l = 7*v + 31 - 52. Differentiate 0*n + 4 + v*n + 7*n + 20 wrt n. 10 Suppose 43*h - 47*h + 5*r = -52, 4*h = 3*r + 52. Let o(s) be the first derivative of 13 - h*s + 5/2*s**2. Differentiate o(i) wrt i. 5 Let d(t) = t**3 + t**2 - t. Let s(c) = -4*c**3 + 4*c**2 + 9*c + 6. Let b(g) = -5*d(g) - s(g). Let z be b(-9). Differentiate -2*u - 4*u - 8 - 5 + z*u wrt u. 24 Let b(x) = -6*x**3 + 2*x**2 - x. Let k be b(1). Let f = 16 + k. What is the third derivative of 13*y**2 - 13*y**2 - 18*y**2 - f*y**2 + 16*y**5 wrt y? 960*y**2 Suppose -25 = 7*q - 179. What is the second derivative of -q*w - 2*w**4 + 126*w + 72*w**5 + 206*w wrt w? 1440*w**3 - 24*w**2 Let b be (-24)/(-10) + (-20)/50. Suppose -b*f + 3*f = 2, 4*f + 8 = 4*c. Find the third derivative of q**4 + 9*q**c + 988*q**2 - 1002*q**2 wrt q. 240*q Let f(w) be the second derivative of -333*w**5/20 + 59*w**4 - 1059*w. Find the third derivative of f(o) wrt o. -1998 Suppose -3*p + 3*i = -5832, -5*i = 3*p - 2*i - 5850. What is the second derivative of -p*k - 8*k**3 + 2*k**5 + 1935*k - 3*k**5 + 24*k**3 wrt k? -20*k**3 + 96*k Let a(d) = 3988*d**3 + 5*d**2 - 25*d - 175. Let u(k) = 998*k**3 + k**2 - 6*k - 44. Let w(y) = -2*a(y) + 9*u(y). What is the second derivative of w(q) wrt q? 6036*q - 2 Let l(i) = 78*i**5 - 7*i - 66. Let v(u) be the first derivative of -u**2/2 - u + 48. Let g(m) = -l(m) + 5*v(m). Find the second derivative of g(y) wrt y. -1560*y**3 Let s be 4 + (13/(-13))/(1 + 0). Suppose 4*v - 24 + 0 = 4*z, -s*z = 2*v - 7. What is the second derivative of c - 13*c + 9*c**4 + 5*c**2 - v*c**2 wrt c? 108*c**2 Find the third derivative of -4*m**2 - 37*m**4 - 4*m**6 + 53*m**2 + 273*m**2 wrt m. -480*m**3 - 888*m Let l = 35 + -30. Suppose -l*o + w + 9 = 2*w, -o + 2*w + 4 = 0. Find the third derivative of 0*m**3 + m**3 + 1171*m**o - 1180*m**2 wrt m. 6 Let t(m) be the third derivative of 1233*m**5/20 + 1289*m**4/24 - 4235*m**2. What is the second derivative of t(f) wrt f? 7398 Suppose 0 = -4*x + 56 + 4. Suppose x = 3*i - 6. Differentiate -15*u**3 - 10*u**3 - i + 19 with respect to u. -75*u**2 Let q(f) = 2*f**2 + 4*f - 1. Let i(z) = 90*z**2 + 6*z + 1687. Let m(t) = i(t) - 2*q(t). Find the second derivative of m(v) wrt v. 172 Let l(y) = -5*y**3 - 16*y**2 - 7*y + 8. Let w be l(-6). Find the third derivative of w*f**4 + 7*f**6 - 554*f**4 + 9*f**6 - 13*f**2 wrt f. 1920*f**3 Find the third derivative of 1615*p**3 + 7*p**2 + 6239*p**3 - 413*p - 3*p**2 + 7 - 7 wrt p. 47124 Find the third derivative of -523*r**2 - 1654*r**3 + r**6 - 3394*r**2 + 1964*r**2 - 1435*r**2 - 2706*r**2 wrt r. 120*r**3 - 9924 Let m(v) = v**4 - 3*v**3 + 2*v - 2. Let f(r) = 7213*r**4 - 15*r**3 + 51*r**2 - 21*r - 10. Let t(d) = -f(d) + 5*m(d). What is the third derivative of t(n) wrt n? -172992*n Let x be 1 - 5/(15/(-48)). Suppose -13 + x = o. What is the second derivative of -10*y**4 + 18*y**o - 2*y**4 + 8*y wrt y? 72*y**2 Suppose 5*s = -189 + 424. What is the second derivative of -143*k**3 - 2*k**5 - 38*k + 29*k**2 - 1 + 143*k**3 + s*k wrt k? -40*k**3 + 58 Let c = 702 + -681. Differentiate 0 - 7 + c + 88 - 253*v wrt v. -253 Find the third derivative of 728 + 454*b**4 - 1595 + 4*b**2 + 1241 wrt b. 10896*b Suppose 14 = -59*k + 250. Let f(b) be the first derivative of -k + 7/3*b**3 + 2*b**4 + 0*b**2 + 0*b. Find the third derivative of f(q) wrt q. 48 Let v(w) = 2*w**2 + 162*w + 618. Let b be v(-77). Let l be 2 - 0*2/4. Find the second derivative of -16*n + l*n**3 - n - 6*n + b*n**3 wrt n. 24*n Let c = 43 - 39. Suppose p - c = -2*l + 3*p, 0 = 3*p. What is the third derivative of l*u**3 - 14*u**2 + 3*u**3 - 11*u**2 wrt u? 30 Let p(b) = -62*b - 93. Suppose -4*s = 41 + 15. Let l(k) = -30*k - 46. Let f(d) = s*l(d) + 6*p(d). What is the derivative of f(r) wrt r? 48 Find the second derivative of 22 - 1136*a**2 + 30 - 4759*a + 4756*a + 131 wrt a. -2272 Let w(p) be the first derivative of 143/2*p**2 + 0*p + 295 + 40/3*p**3 + 0*p**5 - 1/2*p**6 + 0*p**4. Find the second derivative of w(k) wrt k. -60*k**3 + 80 Find the second derivative of -147 + 1179*d + 2*d**3 + 289 + 4727*d**2 - 145 wrt d. 12*d + 9454 Let o = 132 - 187. Let r = 58 + o. What is the third derivative of f**2 - 15*f**r + 32*f**3 - 3*f**2 + 8*f**3 wrt f? 150 Let r(s) = 2067*s + 2107. Let v(m) = -4123*m - 4211. Let z(i) = -7*r(i) - 3*v(i). Differentiate z(f) with respect to f. -2100 Let g = 3033 + -3033. Let t(i) be the third derivative of i**4 + 0 + g*i - 17*i**2 + 0*i**5 + 0*i**3 - 5/24*i**6. Find the second derivative of t(a) wrt a. -150*a Let f = 165 + -145. Find the first derivative of -f + 15*p - 471*p**3 + 240*p**3 + 235*p**3 wrt p. 12*p**2 + 15 Suppose -f = 4*x - 1171, 582 = 10*x - 8*x + 4*f. Find the second derivative of -822*i + 2 - 2 + 939*i + x*i**4 wrt i. 3516*i**2 Find the second derivative of -10*n**4 - 98 + 2*n**4 + 13*n**4 - 5*n**4 - 2*n + 584*n**5 wrt n. 11680*n**3 Suppose 850*a - 853*a = -2*r - 15, 2*r + 18 = 4*a. Let h be (-2*1)/(1/(-2)). Find the second derivative of -10*x**h + a*x - 7*x**4 - 20*x wrt x. -204*x**2 Let n(x) be the first derivative of 15*x**7/7 + 10*x**6/3 + 1766*x**3/3 - 538. Find the third derivative of n(i) wrt i. 1800*i**3 + 1200*i**2 Let i be 4 + 0 - (9 - 44). Find the second derivative of 3*j**5 - 5*j**5 + i*j - 31 + 16*j**3 - 40*j wrt j. -40*j**3 + 96*j Suppose 4*t + 11 = 27. What is the second derivative of -12 - 40*x - 27*x**t + 42*x - 68*x**4 wrt x? -1140*x**2 Let d be -8*(-16 + 9)/28. Let y be -1*(-132)/3 + -3. What is the derivative of -30*m**d - y*m - 42 + 41*m wrt m? -60*m Find the second derivative of 8*d + 1013*d - 313637*d**2 + 310949*d**2 wrt d. -5376 What is the third derivative of -201*u + 112*u + 4096*u**4 + 2635*u**2 + 89*u wrt u? 98304*u Suppose 2*r - 3 = -r, -r - 1 = -i. Suppose -2*b + 6 = 0, b - 18 = 3*z - 6*z. Find the third derivative of -18*p**4 + 2 - z*p**2 - 2 + i*p**2 wrt p. -432*p Let r(f) = 1809*f**3 + 4*f**2 + 2374. Let c(l) = 2*l**3 + l**2 - 1. Let j(g) = 4*c(g) - r(g). Find the first derivative of j(s) wrt s. -5403*s**2 Let z(j) = -6213*j**3 - 3*j + 3431. Let q(y) = 43492*y**3 + 20*y - 24018. Let a(x) = -3*q(x) - 20*z(x). Differentiate a(m) wrt m. -18648*m**2 Let a = -164 + 197. Find the second derivative of -13 + 48*y**3 - a*y + 31*y + 3 wrt y. 288*y Let m(l) be the second derivative of -l**6/30 + 439*l**4/6 + 2251*l**2 + 5243*l. What is the derivative of m(i) wrt i? -4*i**3 + 1756*i Let p(y) be the second derivative of 135*y**5/4 - 587*y**3/2 - 6224*y. What is the second derivative of p(d) wrt d? 4050*d Let f(x) be the third derivative of -877*x**4/24 - 343*x**3/3 - 191*x**2. What is the derivative of f(v) wrt v? -877 Let k be (4 + 2 + -6)/(-1)*-1. Let l(m) be the first derivative of 11/4*m**4 - 7/3*m**3 + k*m**2 - 15 + 0*m. Find the third derivative of l(x) wrt x. 66 Find the third derivative of 370*b**5 + 247*b**5 - 2578*b**2 - 2714*b**2 + 1589*b**2 wrt b. 37020*b**2 Let u(c) be the first derivative of -2909*c**4/4 + c**3/3 - 553*c**2/2 - 5290. Find the third derivative of u(o) wrt o. -17454 Let s(l) be the third derivative of 0*l**3 + 0*l + 91/30*l**5 + 51/4*l**4 + 0 - 313*l**2. What is the second derivative of s(c) wrt c? 364 Let i(j) = -20537*j**2 - 55*j - 8266. Let h(t) = -6846*t**2 - 20*t - 2755. Let y(x) = 11*h(x) - 4*i(x). Find the first derivative of y(p) wrt p. 13684*p What is the first derivative of 396*z + 1122*z - 243*z + 1703*z + 3657 wrt z? 2978 Find the second derivative of 4*r**3 - 7*r**3 + 3*r**3 - 2841*r**4 - 2*r + 0*r**3 + 111 wrt r. -3409
{ "pile_set_name": "DM Mathematics" }
2 + y and give y. -36 Rearrange (-4*i + 3*i + 2*i)*(-3 + 0 + 5)*(46 - 141 - 133)*(-23 - 8 + 14) to the form j*i + d and give j. 7752 Express (-28 - 41 + 19)*(-2*t - 3*t - 5*t) - 4*t + t + 4*t + (3*t - 5*t + 4*t)*(3 + 1 - 2) in the form u + i*t and give i. 505 Express (150*x**2 + 53*x**2 + 74*x**2)*(0*x + 0*x + 2*x)*(9 - 18 - 15) as z*x**2 + k + p*x**3 + o*x and give o. 0 Express -253*t**2 - 2731*t**2 - 330*t**2 + (-t**2 - t**2 + 4*t**2)*(1 + 0 - 2) as i*t + g*t**2 + x and give g. -3316 Rearrange 62*m**3 - 2 - 3*m + 4 - 27*m**3 - 40*m**3 - 3*m to the form a + f*m**2 + x*m**3 + z*m and give a. 2 Express (-286 - 329 - 107)*(-4*m + m**2 + 4*m)*(2 - 2*m - 2) in the form o*m + t + y*m**3 + f*m**2 and give y. 1444 Rearrange 1 + 4*o**2 + 2*o**4 - 369*o**3 + 382*o**3 - 6*o - 15*o**2 to the form c*o**3 + v + t*o + m*o**4 + i*o**2 and give c. 13 Express -13767 + 13773 + g + 116*g**3 + 0*g as t*g**3 + i + p*g + o*g**2 and give p. 1 Rearrange 2 + 2 + 1340*w**2 - 2*w - 116*w**4 + 102*w**4 - 1344*w**2 to the form l*w + a*w**4 + g + j*w**3 + b*w**2 and give g. 4 Rearrange (40*q**3 + 1962*q - 1962*q)*(-2 + 0 + 0) + (-2 + 1 - 2)*(-52*q**2 + 52*q**2 - 5*q**3) to r*q**2 + h*q**3 + d + f*q and give h. -65 Express -1162 - b - 9*b**2 + 8*b**2 + 875 - 1946 + 2*b in the form a*b**2 + f*b + c and give a. -1 Rearrange 11013 - 24*u**3 - 11014 + 122*u**2 + 25*u**3 to the form v*u**2 + x + h*u**3 + o*u and give x. -1 Rearrange 1705*p**2 + 70*p + 136*p - 206*p to the form a + v*p + c*p**2 and give c. 1705 Express (12*g**2 - 4425 + 4425 - g)*(1 - 11 + 46)*(0 + 2 - 4) as t*g + o + h*g**2 and give h. -864 Express 2*w**4 - 3*w**4 - 3014*w**3 - 3 + 6027*w**3 - 49*w + 0*w**4 - 2*w**2 - 3015*w**3 as g*w + x*w**3 + u*w**4 + p*w**2 + i and give u. -1 Rearrange ((4*v + 0*v - 3*v)*(-2 + 4 + 0) + v + 4 - 4 - 3*v + 2*v - 4*v)*(13 + 12 - 21)*(3*v - v - v) to y + p*v**2 + z*v and give p. -8 Rearrange -568*b**2 + 2*b + 25729 + 25744 - b**4 - 51473 - b**3 to c*b**4 + w*b + a*b**3 + f + m*b**2 and give a. -1 Rearrange -258681*w**2 + 129873*w**2 + 129336*w**2 - 20 to r*w + l + z*w**2 and give z. 528 Rearrange 41*k**3 + 94*k**3 - 416 - 133*k**3 to q*k**3 + j*k + c + p*k**2 and give c. -416 Express (-5 + 36504*k + 87745*k - 59356*k + 5)*(-5*k + k + 2*k) in the form f*k + j*k**2 + t and give j. -129786 Express (5674471 + 4757*k - 5674471)*(k**2 + 3*k**2 - k**2) as d + n*k + f*k**3 + i*k**2 and give f. 14271 Express (2*c - 2*c + c**2)*(5 - 7 - 5)*((-4 - 3 + 5)*(1 - 2 - 1) - 27 + 3 - 34)*(-9 - c + 9) as d*c**3 + p*c**2 + l*c + k and give d. -378 Express (6929 - 176*h - 164*h + 673*h - 168*h - 173*h)*(1 + 0 - 3) as w*h + d and give w. 16 Express (-2*f - 1 + 1)*(-1 - 1 - 2) + 0 + 0 - f + (2*f + 1 - 1)*(-1 + 3 - 1) - 11541 + 206*f + 11541 as m*f + y and give m. 215 Rearrange (-f**3 + f**3 - f**3)*(-1742 + 975 - 1422) to r*f**2 + u + h*f + m*f**3 and give m. 2189 Rearrange 854*n**3 + 0*n**4 - 206102*n**2 + 3*n**4 + 206104*n**2 to k + l*n + x*n**2 + a*n**3 + s*n**4 and give a. 854 Rearrange 2*l**2 - l**2 - 29*l**2 + (2 - l - 2)*(-6*l - l - 4*l) + (-2*l + 2*l - l)*(0*l + l + l) to the form x*l**2 + w*l + n and give w. 0 Express -1788*b**2 + 894*b**2 - 5*b + 894*b**2 + 12*b**3 + 2*b as s*b**3 + p*b**2 + q + w*b and give s. 12 Express -z**3 - 401*z + 4*z**3 - 3*z**2 + 2 + 346*z - z**3 + 194*z in the form p*z + s*z**2 + t + g*z**3 and give t. 2 Express 2*b**3 - 33*b + 865 + 0*b**3 - 867 - 156*b**2 + 30*b as i + n*b + h*b**3 + o*b**2 and give o. -156 Rearrange -300*b**2 + 280*b - 2*b**3 - 560*b + 49*b**2 + 279*b to q + i*b**2 + p*b + d*b**3 and give d. -2 Rearrange (8*l - 5*l + 6*l)*(2*l + 156 - 156 + (-l + 1 - 1)*(-3 - 2 - 1))*(5 + 4 + 2) to the form f*l + y + q*l**2 and give q. 792 Rearrange 4*y**4 - 2*y**4 + 2*y**4 + (-6*y + 5*y**3 + 6*y)*(-10*y - 3*y + 7*y) to the form q + r*y + g*y**4 + c*y**2 + v*y**3 and give g. -26 Rearrange 575*f - f**3 - 111*f**2 - 567*f + 232*f**2 - 10*f**4 - 115*f**2 - 2 to h*f**4 + u*f**2 + j*f**3 + z + y*f and give h. -10 Rearrange 27363 + 779*y - 30081*y - 27363 - 6636*y to the form t + f*y and give t. 0 Express 13 + 39*w - 18 + 11 - 239*w + 5 in the form k*w + i and give k. -200 Express (-16 - 3 - 47)*(-64 + 119 + 125)*(-2*k**2 + k**2 + 2*k**2) as b*k + s*k**2 + u and give s. -11880 Express (-10*s - 45*s + 13*s)*(493*s + 164*s + 87*s) in the form k*s**2 + i*s + x and give k. -31248 Rearrange -7*j - j - 10*j + (15 + 17 - 35 + 0 - 2 + 1 + (-3 - 4 + 6)*(3 - 1 - 1) + 0 + 0 + 1)*(0 + 0 - 6*j) to the form a + x*j and give a. 0 Rearrange 502810*z - 502810*z + 3531*z**4 + (-2*z + 2*z - 2*z**2)*(-z**2 + z**2 + z**2) to the form b*z**3 + s*z**2 + n + u*z**4 + a*z and give u. 3529 Express (-24*w**2 + 104*w**2 - 7 - 78*w**2)*(2 - 2 + 5*w) as b*w**2 + o + i*w**3 + j*w and give j. -35 Rearrange (2*n**2 + n**2 - n**2 + (17*n + 3*n + 16*n)*(-n + 0*n + 3*n))*(51*n + 51*n - 74*n) to the form x*n + l*n**3 + z + a*n**2 and give l. 2072 Express -249 + 197 - 2*r**3 - 378*r**2 + 52 in the form w*r + d*r**2 + p*r**3 + v and give p. -2 Express 15*v - 34*v + 9*v + (0 + 1 - 2)*(2*v - 2 + 2) - 3 + 3 - v - 3*v + 4 + 2*v - 1 + (-1 - 5 + 2)*(-5 - 3 + 5)*(2*v + 1 - 1) as g + q*v and give g. 3 Rearrange 13*c**2 - 92*c**2 + 45*c**4 + 90*c**2 - 4 to the form d*c**3 + v*c**2 + x + j*c**4 + z*c and give v. 11 Express 5*y + 25*y - 32*y + 4*y + 1350 + 1030 in the form z + g*y and give g. 2 Rearrange 10127*w + 12423*w + 5370*w to the form z + o*w and give o. 27920 Express 0 - 376*f**3 + 4 - 6 + 87*f**3 in the form y*f**2 + z + s*f + u*f**3 and give u. -289 Express (2*u**2 + 0*u**2 + 9*u**2)*(8*u - 2*u + 5*u) - 19849 + 19849 - 42*u**3 as j + d*u + m*u**3 + f*u**2 and give m. 79 Rearrange (52030916*v + 31154*v**3 - 52030916*v)*(0*v - v + 3*v) to o*v**4 + r*v + d*v**2 + z + g*v**3 and give g. 0 Rearrange 2*a**2 - 63 + 5992*a**4 - 2*a**3 - 2997*a**4 - 2972*a**4 to v*a**4 + x*a**3 + u + w*a**2 + z*a and give x. -2 Rearrange -1 + j**4 + 1 + (j + j**2 - j)*(4*j**2 + 0*j**2 - 3*j**2) + 6795 - 28810*j**4 + 8210*j**4 - 6795 to p*j**2 + l + o*j**4 + v*j + n*j**3 and give o. -20598 Express -16*y + 35*y + 30*y + ((-1 + 4 - 4)*(-2 + 2 + 2) - 1 - 1 + 3)*(-4*y + 0*y + 13*y) as u*y + v and give u. 40 Rearrange (2*f + 3 - 3)*(f**2 + 2 - 2) + (-2 - 6*f**2 + 3*f**2 - 4*f**2)*(-113 + 113 + 11*f) to g*f + v + l*f**3 + r*f**2 and give l. -75 Rearrange (3 + 0 - 2 + (0 - 2 + 1)*(-1 - 4 + 0))*((-2 - 1 + 5)*(-2*u + 0*u - u) + 10*u + 5*u + 5*u)*(-2 + 2 + u) to o*u + p + v*u**2 and give v. 84 Express (2 + 5*b - 2)*(2*b - 19*b + 2*b + (0*b - 3*b + 4*b)*(3 - 3 + 2))*(0*b + 2*b + 0*b)*(3 + 5 - 3) in the form m*b + q*b**3 + s + f*b**2 and give q. -650 Express -78701*q + 78701*q + 2022*q**2 in the form b*q + y + h*q**2 and give h. 2022 Rearrange j**3 - j**4 - 18*j - 3*j + 27*j**2 + 5 + 15*j + 0*j**3 + 5*j to w*j**2 + p + d*j + q*j**3 + t*j**4 and give d. -1 Rearrange -2 + 323*f**2 - 413*f**2 + 2*f**4 + 86*f**2 + 221*f**3 + 1 to the form c*f**2 + b*f**3 + x + v*f + l*f**4 and give x. -1 Rearrange (-3*y + 4 - 6 - y)*(-39 + 119 + 126) + (-y + 3*y - y + (-4 + 2 + 4)*(0*y - 4*y + 2*y) - y + 2*y + y)*(-4 + 2 - 1) to s*y + c and give c. -412 Express 4 - 75*v**3 - 2823*v**4 - 6 + 2822*v**4 - 3*v**2 - 2 + 3 + v in the form a*v + k*v**3 + c + y*v**2 + i*v**4 and give i. -1 Rearrange (5*m - 17*m + 7*m)*(20*m - 219*m - 32*m)*(2 - 2 - 1) to the form o + b*m**2 + h*m and give b. -1155 Express 625*f**2 + 298*f**2 - 4687*f**2 - 3723*f**2 - 1511*f**2 + (-1 - 2 + 1)*(-2*f**2 + 3*f**2 + 0*f**2) in the form d + r*f**2 + j*f and give r. -9000 Express (5*q**3 + 0*q**3 + 2*q**3)*(9 - 10 - 16) + (-q**2 - 3*q**2 + 2*q**2)*(-1 + 0 - 3*q - 3) in the form j*q**2 + m*q + b + u*q**3 and give j. 8 Express (-92*u + 44*u + 10*u)*(14 + 10 - 4)*(-11 + 11 + 13*u) in the form k + f*u**2 + q*u and give f. -9880 Express (-105*y + 70*y - 115*y)*(-19 + 19 + 5*y**2)*(4*y + y - 2*y) as f*y + t + s*y**4 + o*y**2 + b*y**3 and give s. -2250 Express (5*o + 14 - 5 - 7)*(-152*o + 152*o + 546*o**2)*(-o - o - o) as w*o + a*o**3 + b*o**2 + x*o**4 + s and give a. -3276 Express -14*q**2 - 1594 + 1589 + 4*q**3 - 2*q + 18*q**2 in the form f*q + r + g*q**2 + n*q**3 and give g. 4 Rearrange (2*z - 3 + 3)*(-3*z - 5*z**2 + 3*z) - 92*z**3 - 10 - 3*z**3 + 46*z**3 to w*z**3 + v*z**2 + d + g*z and give w.
{ "pile_set_name": "DM Mathematics" }
2 and 294. 6 Calculate the greatest common divisor of 1776304 and 2790388. 6628 Calculate the highest common factor of 3795518 and 11218. 142 What is the greatest common divisor of 3454 and 702350? 22 What is the highest common factor of 1045990 and 222? 74 Calculate the highest common factor of 15 and 29581674. 3 Calculate the highest common divisor of 12625850 and 575. 575 Calculate the greatest common divisor of 9252966 and 9144. 762 What is the highest common divisor of 1088 and 8161003? 17 Calculate the greatest common factor of 10989218 and 958. 958 What is the greatest common factor of 198084 and 156? 12 What is the greatest common factor of 37184035 and 6665? 6665 Calculate the greatest common divisor of 1060 and 2143055. 265 Calculate the greatest common divisor of 360474 and 5037. 219 What is the greatest common factor of 3698217 and 244701? 4617 Calculate the greatest common divisor of 4592 and 19823377. 287 Calculate the highest common divisor of 424362 and 8667. 321 Calculate the highest common factor of 2022363 and 2807028. 2961 What is the greatest common factor of 1633661 and 111? 37 Calculate the highest common divisor of 619059 and 6601. 287 Calculate the highest common divisor of 261 and 7604631. 9 Calculate the greatest common factor of 10461300 and 1200. 300 Calculate the highest common divisor of 339193 and 369. 41 Calculate the highest common divisor of 77895 and 42239285. 2885 What is the highest common factor of 322 and 2543422? 14 What is the highest common divisor of 58955 and 14779565? 4535 Calculate the greatest common divisor of 161 and 79838773. 161 Calculate the highest common factor of 6959169 and 81. 27 What is the greatest common divisor of 165 and 6558015? 15 What is the greatest common factor of 2 and 2493922? 2 Calculate the highest common factor of 117454206 and 1036. 74 What is the greatest common divisor of 1415749 and 122? 61 What is the greatest common divisor of 9539009 and 538? 269 Calculate the highest common divisor of 128754 and 9246. 138 What is the highest common factor of 2361903 and 18? 3 What is the highest common factor of 129 and 2518897? 43 What is the greatest common factor of 35540755 and 10? 5 Calculate the highest common factor of 3830307 and 57. 3 What is the greatest common divisor of 45 and 3985983? 9 What is the greatest common factor of 104 and 143381888? 104 What is the greatest common divisor of 638 and 492061966? 638 What is the greatest common divisor of 20731250 and 530? 10 Calculate the greatest common divisor of 10415 and 563745203. 2083 What is the greatest common factor of 96228911 and 157? 157 What is the highest common divisor of 16954 and 120062? 346 What is the greatest common divisor of 4961 and 22898623? 451 Calculate the highest common factor of 473335 and 73295. 685 What is the highest common divisor of 276731 and 35399? 91 What is the highest common divisor of 51420150 and 71340? 1230 Calculate the highest common divisor of 74025495 and 615. 15 Calculate the greatest common factor of 4 and 199063304. 4 Calculate the highest common factor of 1610888 and 3904. 488 What is the highest common factor of 1770890 and 1894? 1894 Calculate the highest common divisor of 237014869 and 182. 91 Calculate the highest common factor of 17144374 and 338. 338 What is the greatest common divisor of 24824 and 248008? 232 What is the greatest common divisor of 306620104 and 7? 7 Calculate the highest common divisor of 4480 and 2090480. 560 Calculate the highest common divisor of 2330648337 and 2319. 2319 What is the greatest common factor of 395 and 76171484? 79 What is the highest common factor of 3612 and 3486378? 42 Calculate the highest common divisor of 3654 and 22514121. 1827 What is the highest common factor of 20164 and 794? 2 What is the greatest common divisor of 42296431 and 155? 31 Calculate the greatest common divisor of 54625890 and 15. 15 What is the greatest common divisor of 10684 and 506897038? 5342 What is the greatest common divisor of 48 and 258085728? 48 What is the greatest common divisor of 148 and 18824342? 74 What is the greatest common factor of 15312540 and 48? 12 What is the highest common factor of 7272 and 39473628? 1212 What is the greatest common divisor of 38 and 166816561? 19 What is the greatest common divisor of 12870714 and 152? 38 Calculate the greatest common divisor of 3525 and 30768550. 1175 What is the greatest common divisor of 1148298 and 2650? 106 Calculate the highest common factor of 54489 and 22060071. 1329 What is the greatest common divisor of 14 and 8550829? 7 Calculate the greatest common divisor of 48516 and 128930648. 1244 Calculate the highest common factor of 13380 and 64427376. 2676 What is the greatest common divisor of 46601995 and 165? 55 What is the greatest common divisor of 120 and 16810845? 15 Calculate the highest common divisor of 552 and 6685916. 92 Calculate the highest common divisor of 14 and 10248175. 7 Calculate the highest common divisor of 30422 and 19964. 14 What is the highest common divisor of 4480181 and 69977? 551 Calculate the greatest common factor of 69419 and 1118089. 1477 What is the highest common factor of 581548 and 418? 22 What is the greatest common factor of 293861300 and 17700? 5900 Calculate the greatest common divisor of 14145 and 2353590. 345 Calculate the greatest common factor of 37711984 and 1156. 68 Calculate the highest common divisor of 58785 and 11325. 15 Calculate the greatest common divisor of 10332550 and 100. 50 What is the greatest common factor of 39278533 and 9758? 287 What is the highest common divisor of 203757873 and 183? 183 Calculate the greatest common divisor of 1065000 and 39192. 1704 What is the highest common factor of 1037267 and 165319? 1463 What is the greatest common factor of 2286240 and 496218? 2598 Calculate the greatest common divisor of 1184696 and 306. 34 What is the highest common divisor of 2870 and 8332562? 14 What is the highest common divisor of 3879 and 11983524? 1293 What is the highest common factor of 3 and 1930086? 3 Calculate the highest common divisor of 3034 and 1492318. 82 Calculate the greatest common divisor of 4636409 and 1363. 47 What is the highest common factor of 1328 and 37777616? 1328 Calculate the highest common factor of 36 and 57679974. 18 What is the greatest common factor of 350862130 and 20? 10 What is the greatest common factor of 979356 and 1889937? 2751 Calculate the highest common divisor of 9425 and 102681605. 1885 Calculate the highest common divisor of 22 and 33568777. 11 Calculate the highest common divisor of 19567100 and 50. 50 What is the greatest common factor of 1631700 and 2294? 74 What is the greatest common divisor of 5551 and 9807397? 61 What is the highest common divisor of 18256 and 154042? 14 Calculate the greatest common divisor of 56 and 41161224. 8 What is the highest common divisor of 1749702 and 6? 6 What is the greatest common divisor of 22989344 and 3654? 406 What is the highest common divisor of 1264956 and 1680? 84 What is the greatest common factor of 15332 and 130? 2 What is the highest common factor of 40181 and 394841? 23 What is the greatest common divisor of 1800 and 13088200? 200 What is the highest common divisor of 184 and 446246? 46 Calculate the highest common divisor of 30800285 and 87139. 6703 Calculate the greatest common divisor of 60 and 14596480. 20 Calculate the greatest common divisor of 234696 and 2640. 264 Calculate the highest common factor of 197722639 and 6065. 1213 What is the highest common factor of 156536 and 32368? 136 Calculate the greatest common factor of 1082731651 and 2017. 2017 What is the greatest common factor of 65279 and 6656207? 2251 What is the highest common divisor of 751943560 and 80? 40 What is the greatest common divisor of 602031 and 16206? 219 What is the highest common factor of 76380 and 14163264? 804 What is the greatest common factor of 2425 and 493? 1 What is the greatest common divisor of 62389686 and 23991? 2181 Calculate the highest common factor of 42525 and 69367725. 4725 What is the greatest common divisor of 99261822 and 132? 66 What is the greatest common divisor of 8893620 and 684? 36 Calculate the highest common divisor of 1428 and
{ "pile_set_name": "DM Mathematics" }
- 13*x**2 + 4*x + 13. Determine a(6). 1 Let t(q) = 7*q - 35. Calculate t(8). 21 Let m(f) = -f**3 - 2*f**2 - 10*f - 20. Give m(-4). 52 Let q(z) = z**3 - 7*z**2 - 11*z + 11. What is q(8)? -13 Let k(t) = -6*t - 6. Give k(2). -18 Let g(m) = -3*m - 32. Give g(-8). -8 Let y(b) = -b**3 + 6*b**2 + b - 3. Give y(3). 27 Let o(s) = s**3 + 24*s + 48. Give o(-2). -8 Let y(v) = -v**2 - 10*v + 1. What is y(4)? -55 Let w(f) = -f**3 - 8*f**2 - 9*f - 7. Determine w(-6). -25 Let c(k) = k**3 + 29*k**2 - 33*k - 59. Calculate c(-30). 31 Let t(r) = -r**2 - 8*r + 4. Determine t(-9). -5 Let s(d) = 3*d + 6. Calculate s(-3). -3 Let d(v) = -8*v**3 + v**2 - v. What is d(1)? -8 Let x(v) = -5*v + 12. What is x(9)? -33 Let d(y) = y**2 - 9*y + 13. Give d(3). -5 Let s(t) = -t**3 + 5*t**2 - 4*t + 23. Calculate s(5). 3 Let j(i) = -i**3 - 12*i**2 + 14*i + 16. What is j(-13)? 3 Let n(b) = b**2 - b. Calculate n(-1). 2 Let g(l) = 2*l + 2. Give g(4). 10 Let g(z) = -3*z**2 - 98*z + 130. Calculate g(-34). -6 Let r(f) = 3*f - 7. Determine r(3). 2 Let x(v) = v**3 - 3*v**2 + 10*v - 16. What is x(3)? 14 Let b(y) = -3*y + 1. Calculate b(-2). 7 Let f(o) = -3*o - 1. Calculate f(3). -10 Let h(b) = 25*b - 97. Calculate h(4). 3 Let h(q) = -2*q + 13. Determine h(6). 1 Let f(b) = b**3 - 5*b**2 - 6*b + 2. Give f(5). -28 Let l(j) = 63*j - 4. Calculate l(1). 59 Let c(q) = 2*q**3 - 3*q**2 + 2*q - 14. Determine c(4). 74 Let h(j) = -124*j - 866. Determine h(-7). 2 Let b(m) = -7*m + 15. Calculate b(2). 1 Let p(f) = -f**2 - 14*f - 20. Calculate p(-13). -7 Let m(u) = 3*u - 6. Calculate m(5). 9 Let m(t) = -2*t - 59. Calculate m(-6). -47 Let b(s) = s**2 + 10*s + 2. Calculate b(-4). -22 Let h(y) = -y**2 + 15*y + 7. Determine h(12). 43 Let h(y) = -y**2 - 16*y - 58. Determine h(-10). 2 Let l(g) = 7*g - 22. Calculate l(4). 6 Let c(s) = -s + 4. Calculate c(7). -3 Let g(r) = -r**3 + 8*r**2 - 9*r + 2. Calculate g(7). -12 Let p(z) = z**3 - 40*z**2 - 276*z - 4. Calculate p(46). -4 Let v(l) = l**3 + l + 1. Determine v(-2). -9 Let t(h) = 2*h**3 - 137*h**2 - 68*h - 62. What is t(69)? 7 Let v(c) = 7*c**2 + 3*c + 2. Calculate v(-1). 6 Let a(v) = -v**3 - 4*v**2 + v - 6. What is a(-6)? 60 Let x(y) = -y**3 - 12*y**2 + 2*y + 26. What is x(-12)? 2 Let l(p) = -p**2 - 10*p - 7. Give l(5). -82 Let c(q) = -2*q**2 + 27*q + 15. Give c(13). 28 Let i(a) = -a - 6. Give i(-6). 0 Let m(g) = -g**2 - 7*g + 10. Calculate m(-11). -34 Let l(p) = p**3 + 20*p**2 + 20*p + 34. Give l(-19). 15 Let t(z) = z**3 - 5*z**2 + 2. Calculate t(5). 2 Let z(q) = -17*q - 148. Determine z(-9). 5 Let g(l) = -8*l + 34. What is g(5)? -6 Let b(g) = -g**3 + 7*g**2 + 7*g - 8. Determine b(8). -16 Let d(q) = -q**3 + 16*q**2 + 20*q - 41. Calculate d(17). 10 Let b(h) = -h**2 + 7*h + 1. Give b(7). 1 Let m(o) = 2*o**2 - 3*o - 11. Calculate m(4). 9 Let k(o) = o**3 - 6*o**2 - 3*o + 5. What is k(4)? -39 Let l(f) = f**3 + 3*f**2 + 4*f + 4. What is l(-3)? -8 Let o(v) = v + 1. Give o(-6). -5 Let k(a) = -a**3 + 3*a**2 + 10*a - 5. Give k(6). -53 Let r(w) = -w + 33. Calculate r(10). 23 Let u(a) = 4*a**2 - a - 1. Give u(-1). 4 Let d(u) = -41*u - 570. Give d(-14). 4 Let n(k) = 3*k**2 - 19*k + 11. Calculate n(6). 5 Let b(h) = h**2 + h - 24. Determine b(0). -24 Let p(v) = 8*v**2 + 3*v + 2. Calculate p(-1). 7 Let l(o) = -o**3 - 10*o**2 + 38*o - 4. Determine l(-13). 9 Let y(v) = -v**2 - 6*v + 4. Determine y(-3). 13 Let i(l) = l**2 + 14*l - 5. Determine i(-12). -29 Let t(i) = -i**3 + 7*i**2 + 2. Determine t(7). 2 Let c(q) = -q**3 + 7*q**2 - 3*q + 10. What is c(7)? -11 Let z(p) = -12*p**3 - 4*p**2 + p + 3. Give z(2). -107 Let n(s) = 7*s - 7. What is n(4)? 21 Let k(q) = -q**3 + q**2 + 3*q + 2. Calculate k(-1). 1 Let r(g) = 6*g - 65. Calculate r(14). 19 Let z(v) = -v**2 + 6*v - 7. Determine z(3). 2 Let p(q) = -5*q**2 + 13*q - 4. What is p(5)? -64 Let z(a) = 17*a**2 + a + 1. Determine z(-2). 67 Let x(a) = a**2 - 6*a - 19. What is x(8)? -3 Let o(n) = -2*n**3 + 4*n**2 + n - 4. What is o(3)? -19 Let j(p) = -p**2 + 12*p + 1. Determine j(12). 1 Let u(m) = -m**2 + 14*m - 3. Calculate u(13). 10 Let m(t) = -t**2 - 4*t + 8. What is m(-6)? -4 Let c(u) = u - 28. What is c(17)? -11 Let a(u) = -u**2 - 11*u - 1. What is a(-12)? -13 Let r(v) = -v**3 - 2*v + 2. Determine r(2). -10 Let h(m) = 11*m + 57. Determine h(-7). -20 Let f(t) = t**3 - 3*t**2 + 6*t - 7. Calculate f(3). 11 Let p(h) = -h**3 + h**2 + 2*h + 16. Calculate p(4). -24 Let f(s) = s**2 + 3*s + 34. Give f(-8). 74 Let x(r) = -r**3 + 10*r**2 + r + 1. Calculate x(3). 67 Let o(s) = 11*s**2 + 50*s - 2. Give o(-5). 23 Let v(d) = 21*d - 483. What is v(23)? 0 Let w(s) = -s**3 + 25*s**2 - 3*s + 77. Give w(25). 2 Let x(q) = q**3 + 6*q**2 + 8*q + 6. Determine x(-5). -9 Let o(s) = s**2 - 12*s + 17. What is o(12)? 17 Let n(v) = -v**3 - 10*v**2 - 7*v + 8. Calculate n(-9). -10 Let p(d) = -6*d - 15. What is p(-12)? 57 Let t(q) = -16*q + 4. Calculate t(-3). 52 Let d(t) = -t**3 - 4*t**2 + 4*t - 3. Determine d(2). -19 Let w(q) = 2*q - 17. What is w(7)? -3 Let i(o) = -11*o + 200. What is i(18)? 2 Let u(k) = 14*k - 118. Calculate u(8). -6 Let y(c) = -c + 3. Calculate y(-4). 7 Let f(g) = g**3 + 6*g**2 - 3*g - 5. Give f(-6). 13 Let n(u) = -4*u + 23. Calculate n(6). -1 Let j(v) = -v**3 - 6*v**2 + 10*v + 12. Calculate j(-7). -9 Let j(k) = -k**3 - 14*k**2 - 11*k + 19. Give j(-13). -7 Let t(w) = w**2 + 9*w - 17. Give t(-13). 35 Let t(y) = -8*y - 8. What is t(6)? -56 Let r(v) = 2*v**2 - 4*v - 7. Determine r(3). -1 Let k(d) = 28*d - 18. Give k(0). -18 Let z(b) = -3*b**2 + 48*b - 10. Determine z(14). 74 Let w(v) = 2*v - 26. Determine w(7). -12 Let s(v) = v + 17. What is s(-14)? 3 Let q(l) = 18*l**2 + 5*l - 3. Calculate q(-2). 59 Let j(k) = 7*k + 1. Give j(1). 8 Let y(x) = x + 12. Determine y(-17). -5 Let o(v) = 2*v**3 + 6*v**2 + 5*v + 1. Determine o(-3). -14 Let p(y) = 6*y - 35. What is p(3)? -17 Let k(b) = -2*b**3 + 6*b**2 - 7*b + 16. What is k(3)? -5 Let p(a) = -a**2 + 11*a - 2. What is p(11)? -2 Let z(r) = -r**3 + 2*r**2 - r + 2. Calculate z(0). 2 Let r(u) = u**2 + 4*u + 5. What is r(-4)? 5 Let m(j) = -j**3 + 17*j**2 - 5*j + 74. Determine m(17). -11 Let w(b) = -b**2 + 2*b + 12. What is w(4)? 4 Let o(z) = -z**3 - 12*z**2 + 32*z + 34. What is o(-14)? -22 Let q(h) = h**2 - h - 25. Determine q(6). 5 Let m(x) = 2*x - 3. Determine m(3). 3 Let a(k) = -4*k - 27. What is a(-7)? 1 Let v(x) = -x**3 + 8*x**2 + 7*x - 4. Calculate v(9). -22 Let l(w) = -29*w**2 + 13*w + 12. Calculate l(-1). -30 Let p(r) = -12*r**3 - r**2 - 2*r. Give p(-1). 13 Let r(g) = -g - 7. Calculate r(-4). -3 Let d(g) = 2*g**2 - 2*g + 14. Calculate d(5). 54 Let w(g) = g - 10. What is w(11)? 1 Let w(q) = 2*q - 5. What is w(-2)? -9 Let y(s) = -s**2 + 5*s + 21. What is y(9)? -15 Let p(t) = -t**2 + 14*t - 34. What is p(10)? 6 Let u(c) = -26*c**3 - 2*c**2 + 3*c - 2. What is u(1)? -27 Let g(m) = 22*m - 121. Calculate g(6). 11 Let u(t) = t**2 + 3. Calculate u(-3). 12 Let b(o) = o**3 - 9*o**2 + 9*o - 12. What is b(8)? -4 Let k(o) = 2*o + 16. What is k(-11)? -6 Let b(j) = j**3 - 11*j**2 + 9*j - 9. Determine b(10). -19 Let f(k) = -k**3 + 3*k**2 + 18*k + 3. What is f(6)? 3 Let m(l) = -l**3 + 9*l**2 - 8*l - 10. What is m(5)? 50 Let q(v) = 10*v - 5. Calculate q(1). 5 Let b(m) = -m**3 + 3*m**2 + 4*m - 9. Determine b(4). -9 Let r(p) = -2*p - 8. Calculate r(-7). 6 Let i(n) = -n**3 + 15*n**2 + n - 17. Give i(15). -2 Let w(o) = 2*o**3 + 1. Determine w(0). 1 Let q(s) = 4*s**2 - 11*s - 2. What is q(-3)? 67 Let u(c) = 3*c - 36. Give u(28). 48 Let z(s) = -17*s + 34. Determine z(7). -85 Let d(z) = 2*z**3 - 3*z**2 - 4*z - 2. Calculate d(-2). -22 Let a(p) = 18*p - 14. Give a(-5). -104 Let s(c) = -c**3 + 7*c**2 + 9*c - 6. Calculate s(8). 2 Let z(b) = -b**2 + 17*b. Give z(17). 0 Let v(n) = n**2 + 17*n + 15. Calculate v(-16). -1 Let b(d) = 6*d**3 - 126*d**2 + 7. Determine b(21). 7 Let m(b) = 2*b**2 - 17*b - 26. Determine m(11). 29 Let f(z) = -2*z**2 + z - 3. Determine f(6). -69 Let l(j) = -8*j**2 - j + 2. Determine l(2). -32 Let w(r) = 4*r**2 - 5*r + 4. Calculate w(2). 10 Let x(l) = l - 25. Give x(0). -25 Let b(d) = 20*d + 1. Give b(1). 21 Let p(a) = 2*a**2 - 9*a - 14. Give p(6). 4 Let y(g) = g**2 - 5*g + 5. Give y(5). 5 Let t(b) = -b**3 - 12*b**2 - 11. Give t(-12). -11 Let y(k) = k**2 - 11*k + 9. What is y(7)? -19 Let i(z) = -z**3 + 7*z*
{ "pile_set_name": "DM Mathematics" }
in kilometers? 907.9045 How many millimeters are there in fourty-one halves of a meter? 20500 What is 3/40 of a litre in millilitres? 75 How many microseconds are there in 856.5214 minutes? 51391284000 Convert 2289.533ns to milliseconds. 0.002289533 What is 4383.008nm in kilometers? 0.000000004383008 How many months are there in four thirds of a decade? 160 How many seconds are there in 857.1813 days? 74060464.32 How many minutes are there in 1/4 of a week? 2520 What is 13/5 of a microsecond in nanoseconds? 2600 How many seconds are there in three sixteenths of a hour? 675 What is 736.406 grams in nanograms? 736406000000 What is 886414.6 centuries in millennia? 88641.46 What is 7/2 of a kilometer in meters? 3500 How many decades are there in 81/4 of a millennium? 2025 How many millilitres are there in 929.8772l? 929877.2 How many nanometers are there in 21/2 of a micrometer? 10500 How many kilograms are there in twenty-nine halves of a tonne? 14500 What is seven halves of a litre in millilitres? 3500 Convert 1.017621 micrometers to centimeters. 0.0001017621 What is 7/8 of a tonne in kilograms? 875 What is 4793.13l in millilitres? 4793130 How many litres are there in 890185.1 millilitres? 890.1851 How many decades are there in 6/5 of a millennium? 120 How many minutes are there in two sevenths of a week? 2880 How many millilitres are there in one twentieth of a litre? 50 Convert 0.4631391 litres to millilitres. 463.1391 How many minutes are there in fourteeen ninths of a week? 15680 What is 389.9081 decades in years? 3899.081 How many nanograms are there in three fifths of a microgram? 600 How many microseconds are there in 3216.025 seconds? 3216025000 What is 1/30 of a century in months? 40 What is thirteen quarters of a gram in milligrams? 3250 How many months are there in 0.310948 decades? 37.31376 What is 1/20 of a kilogram in grams? 50 How many decades are there in 0.174571 millennia? 17.4571 What is one quarter of a millennium in months? 3000 How many meters are there in fifteen quarters of a kilometer? 3750 How many micrograms are there in 4.05316 kilograms? 4053160000 How many litres are there in 27.51668 millilitres? 0.02751668 How many nanometers are there in thirty-two fifths of a micrometer? 6400 How many nanograms are there in 57/2 of a microgram? 28500 What is 6/5 of a hour in minutes? 72 What is 4.199579 millimeters in nanometers? 4199579 How many milligrams are there in 0.2433883 kilograms? 243388.3 How many days are there in 15.5870568us? 0.00000000018040575 Convert 28149.858 months to centuries. 23.458215 How many months are there in thirty-seven halves of a century? 22200 How many months are there in 13/4 of a year? 39 How many litres are there in 578.9552 millilitres? 0.5789552 What is eleven halves of a micrometer in nanometers? 5500 How many millimeters are there in eleven eighths of a meter? 1375 What is 3/40 of a microgram in nanograms? 75 How many months are there in 5/4 of a year? 15 How many years are there in 1157250.3 months? 96437.525 What is 7320.883 millennia in decades? 732088.3 What is 69932.96l in millilitres? 69932960 What is 7349.1489 nanoseconds in days? 0.00000000008505959375 How many minutes are there in 54.94483 weeks? 553843.8864 What is 3/8 of a tonne in kilograms? 375 How many millilitres are there in 235593.9 litres? 235593900 What is 1722.333 weeks in nanoseconds? 1041666998400000000 How many centuries are there in 36180.47 millennia? 361804.7 Convert 0.718236 weeks to minutes. 7239.81888 How many nanograms are there in 26/5 of a microgram? 5200 Convert 585.7812 centuries to years. 58578.12 Convert 0.3638401 kilometers to millimeters. 363840.1 What is 33/5 of a micrometer in nanometers? 6600 How many grams are there in 63.3051 milligrams? 0.0633051 How many decades are there in 184242.3 months? 1535.3525 What is sixty-nine halves of a litre in millilitres? 34500 Convert 58.88907 years to centuries. 0.5888907 How many millennia are there in 808.8682 years? 0.8088682 Convert 551.8724t to grams. 551872400 How many kilograms are there in 6/5 of a tonne? 1200 What is 6/5 of a microgram in nanograms? 1200 Convert 367094.2 millennia to months. 4405130400 How many decades are there in 678.1364 years? 67.81364 How many years are there in fifty-five halves of a decade? 275 How many nanoseconds are there in fourty-eight fifths of a microsecond? 9600 How many micrometers are there in fifty-two fifths of a millimeter? 10400 How many nanograms are there in one twentieth of a microgram? 50 What is two fifteenths of a minute in seconds? 8 What is eleven tenths of a microsecond in nanoseconds? 1100 Convert 1764.721 millennia to months. 21176652 Convert 63009.83ng to kilograms. 0.00000006300983 What is 3/25 of a litre in millilitres? 120 Convert 4244.834 years to centuries. 42.44834 How many years are there in 1/4 of a century? 25 What is 23.90676 months in millennia? 0.00199223 Convert 250.5213 centimeters to micrometers. 2505213 What is 13/8 of a microgram in nanograms? 1625 How many millimeters are there in 954462.6um? 954.4626 What is fifty-five thirds of a week in hours? 3080 How many milliseconds are there in five quarters of a minute? 75000 What is 0.8859513 millimeters in centimeters? 0.08859513 What is 0.643984 kilograms in micrograms? 643984000 How many nanoseconds are there in 11/2 of a microsecond? 5500 What is 119.1339 nanometers in micrometers? 0.1191339 How many milliseconds are there in 210.0948s? 210094.8 Convert 65021.74 micrograms to grams. 0.06502174 How many grams are there in 3/50 of a kilogram? 60 Convert 53.68163 litres to millilitres. 53681.63 What is 3/25 of a century in months? 144 How many decades are there in 521.2797 millennia? 52127.97 What is three fifths of a day in seconds? 51840 Convert 9.857262m to centimeters. 985.7262 How many grams are there in 33/5 of a kilogram? 6600 What is 11/4 of a millisecond in microseconds? 2750 How many kilograms are there in 42.50802 micrograms? 0.00000004250802 What is 4.450012nm in centimeters? 0.0000004450012 What is 0.40288 litres in millilitres? 402.88 Convert 45.47061 centuries to months. 54564.732 What is 41/2 of a tonne in kilograms? 20500 What is 4630.391ng in milligrams? 0.004630391 How many decades are there in 1/5 of a millennium? 20 What is 6/5 of a century in years? 120 How many meters are there in 866111.4 nanometers? 0.0008661114 How many seconds are there in 440.7485us? 0.0004407485 Convert 47.94848 minutes to seconds. 2876.9088 How many years are there in 88.464 months? 7.372 How many millilitres are there in 1/4 of a litre? 250 What is 1/6 of a day in hours? 4 How many nanometers are there in 19029.3 centimeters? 190293000000 What is 19/4 of a litre in millilitres? 4750 What is 42/5 of a centimeter in millimeters? 84 What is 2866.4436 months in decades? 23.88703 What is 3/8 of a hour in seconds? 1350 Convert 93.81474 centuries to years. 9381.474 What is 729692.6 centimeters in nanometers? 7296926000000 How many tonnes are there in 0.8043173 milligrams? 0.0000000008043173 What is one quarter of a century in years? 25 How many centuries are there in seventeen halves of a millennium? 85 How many weeks are there in 9215.85 days? 1316.55 Convert 420.5979 hours to seconds. 1514152.44 What is 177.4124 millilitres in litres? 0.1774124 What is 41/2 of a minute in seconds? 1230 How many centimeters are there in one fifth of a kilometer? 20000 What is 666.4273l in millilitres? 666427.3 What is 11/2 of a kilogram in grams? 5500 How many months are there in 0.4266114 centuries? 511.93368 What is thirteen fifths of a litre in millilitres? 2600 What is fifteen quarters of a century in years? 375 How many years are there in 71/4 of a century? 1775 What is 26882.1 millimeters in centimeters? 2688.21 How many minutes are there in 15/4 of a week? 37800 What is 44/5 of a litre in millilitres? 8800 How many millilitres are there in 1/5 of a litre? 200 How many minutes are there in 64/9 of a week? 71680 What is 6.1691 weeks in milliseconds? 3731071680 Convert 1044.2412ms to days. 0.000012086125 What is 11/2 of a millimeter in micrometers? 5500 How many centimeters are there in 3/50 of a meter? 6 What is 1/5 of a litre in millilitres? 200 How many mil
{ "pile_set_name": "DM Mathematics" }
number? False Let q(v) = v**2 + 3*v + 24003. Let h be q(0). Let w = h + -15944. Is w composite? False Suppose w - 60*a = -64*a + 945141, 5*w - 4725705 = -5*a. Is w composite? True Let p be 26/78 + 31362/9. Let n = 174 + p. Is n a prime number? True Let r(o) = o**3 + 14*o**2 - 11*o + 28. Let i be r(-14). Let f(w) = -w**2 + 6*w - 1. Let b be f(5). Suppose -b + i = q. Is q a prime number? False Let s be (-13 + 15)*(-1 - (-126034)/4). Suppose -378*y - s = -381*y. Is y composite? True Suppose 25 = 5*a - 3*p, -2*a = p - 0*p - 21. Suppose -53886 = -a*s - 6*s. Is s composite? True Suppose -2 = -7*f - 51. Let h(i) = -4*i**2 + 4*i**2 + 9*i**2 - 3 - i - 3*i**2. Is h(f) a prime number? False Suppose 2*i = -3*k + i + 1, 7 = k - i. Suppose 0*g + 63857 = -5*t - 3*g, -k*t + 4*g = 25548. Is t/(-36) + 2/9 a composite number? True Suppose 6*p + 47 = -97. Let i = p - -28. Is 592 + -4 - (1 + i) a prime number? False Let f be (0 - -856)*(-15 - -18). Let n = f + -1679. Is n a prime number? False Let d be (-2)/(16/48988)*-4. Suppose -2*c + 5*r = -39813, 4*c = -3*r + d + 55171. Let o = c + -2645. Is o a prime number? False Suppose 0 = -11*a - 18 - 15. Is (70974/(-9))/(-6 - (a + -1)) a prime number? True Suppose 0 = t - 4*t + 4*z, -3*z + 9 = 0. Let g(m) = 609*m - 103. Is g(t) prime? True Let x(h) be the third derivative of 7*h**7/360 - h**6/360 + h**5/60 + h**4/3 - 8*h**2. Let y(v) be the second derivative of x(v). Is y(3) prime? False Is ((-582)/18)/(1/(-29961)*3) prime? False Suppose 7*x = 5 + 9. Suppose 0 = x*k + k. Suppose a + m - 52 = k, -a + 0*m + 67 = -4*m. Is a a prime number? False Let x(l) = 5*l + 34. Let y be x(19). Suppose -y*r = -128*r - 307. Is r a composite number? False Suppose -2451176 - 8590725 = -149*t + 39030294. Is t a prime number? False Let c = 155023 - 42336. Is c a composite number? False Let r(q) = 253904*q**2 + 127*q - 130. Is r(1) a composite number? False Suppose 0 = 3*g - 18*g + 109425. Let c = -4031 + g. Suppose -s + 4*v - 5*v = -c, -2*s - 4*v + 6534 = 0. Is s a prime number? False Let x(g) be the first derivative of 223*g**2/2 - 3*g + 1. Let n = -2621 + 2625. Is x(n) composite? True Is 93336/6 - 4/((-28)/(-35)) composite? False Suppose 5*f - y - 27950 + 4268 = 0, 4743 = f + 2*y. Is f a prime number? False Suppose 4*c + 5 = -7. Suppose l = 2*q - 23, 33 - 19 = q + 2*l. Is q/(-30) + 2604/10 + c composite? False Let w = 6929 - 4355. Suppose -k + 5*u = -w, 7*u - 8*u = -5*k + 12846. Is k a prime number? False Is 378190/15*(-1 - (-40)/16) prime? False Let y(z) be the second derivative of 817*z**3/2 - 35*z**2 + 7*z. Is y(3) composite? False Suppose k - 13682 = -3*p, -2*p + 9118 = -6*k + 5*k. Suppose -n + 4666 = q, -3*q + 9403 = -4*n - p. Is q prime? False Let z(c) = -158046*c - 965. Is z(-1) a prime number? True Suppose 38178 + 55526 = 53*n. Let r(f) = 70*f**2 + 6*f - 7. Let o be r(5). Suppose 0 = -2*z - 2*q + n, 2*z + 8*q - o = 7*q. Is z a composite number? True Suppose -76*k = -37*k + 48*k - 7595709. Is k a prime number? False Let s(p) = -2*p - 11. Let n be s(-9). Let m(k) = -k**3 + 23*k**2 - 31*k + 31. Let a(c) = c**3 - 12*c**2 + 16*c - 16. Let b(i) = 11*a(i) + 6*m(i). Is b(n) prime? True Let b(f) = f**3 - 20*f**2 + 12*f + 2. Let m be b(9). Is -2 - (1 + -2)*-1*m prime? False Let s = -26136 - -80268. Suppose -2*f - 8*t = -9*t - s, 2*f - 5*t - 54124 = 0. Is f a prime number? True Suppose 29*s + 615 = 34*s. Let f = -496 - s. Let d = 1300 + f. Is d composite? True Suppose 2*o = -g, 7*g - 2*g - 3*o = 39. Let d = 934 - 922. Suppose -d*y = -g*y - 22722. Is y a composite number? True Is (-19)/(171/411)*-141 composite? True Suppose -15*h = -16*h + 8*u + 443493, -h + 443498 = -3*u. Is h prime? True Let u(a) = -817*a + 260441. Is u(0) prime? True Let w = 107 + -98. Is (1610/20 + -5)*(w + 1) composite? True Let k(v) = -1497*v - 37. Let a be 1/(-6 + 4)*(-2 + 10). Is k(a) a composite number? True Is 200105/4 - (51 - 9338/184) a composite number? True Let b(i) be the first derivative of 8*i**3/3 + 19*i**2 + 23*i + 91. Is b(-11) a composite number? True Let r(p) = 409*p**2 - 26*p + 52. Is r(15) a prime number? False Let l be (((-116)/(-3))/1)/(1/64401). Suppose l = 59*d + 647307. Is d a composite number? True Let f(t) = 2*t**3 - 70*t**2 + 11*t + 32. Let z be f(38). Let h = -3733 + z. Is h a prime number? True Suppose 5*c - x + 0*x - 28 = 0, 4*c = 4*x + 16. Let b be 0 + (-7)/(-3) - 2/c. Suppose -b*s + 489 = s. Is s prime? True Let h(z) = z**2 - z - 69. Let a be h(-8). Suppose 3*i - 1493 = -a*x + 4*i, -x + 511 = 3*i. Is x a prime number? True Let i = -145 + 253. Let s(k) = 89 - 60 - i*k - 64*k. Is s(-15) a prime number? True Suppose 4*r + 89*b = 87*b + 198008, 5*b = 4*r - 197966. Is r prime? True Suppose -147*d = -3868033 - 5175260. Is d composite? False Suppose -2*f - 14*g + 15*g = -216691, -4*f + 5*g + 433397 = 0. Is f composite? False Let i(u) = u**3 - 10*u**2 + 4*u - 2. Let h = -22 + 27. Let c be i(h). Is c*5/(20/(-8)) composite? True Suppose 2*v + 4*v - 24 = 0. Suppose -i - 15 = w - 6, -3*i - 4*w = 26. Is 22*((-95)/i - v) a prime number? False Suppose 4905610 = -66173*k + 66183*k. Is k a prime number? False Let l = 2709 - -3271. Suppose t - 76 = l. Suppose 5841 - 1312 = 3*n + w, 4*n - 3*w = t. Is n composite? False Let o = 524 - 909. Let a = o + 884. Is a a composite number? False Let g be (-708)/(-4) + -3 + 3 + -2. Let a = 588 - g. Is a prime? False Let l be (-1 + (-14)/10)/((-4)/60). Suppose -4*q - l = -2204. Suppose 0 = -0*n - n + k + 560, n + 5*k = q. Is n prime? True Let f = 56 + -51. Suppose 5*c = 5*l - f, 0 = c - 2*l - 4 + 9. Suppose c*i = 5*w + 2124, 3*i = -i + 4*w + 2824. Is i a prime number? False Let z be 21/(-5 + 3 + 5). Suppose 7002 + 85384 = z*x. Is x composite? True Let a = 1077 - 238. Let c = a - 1344. Is (-1 - (-10)/25)*c composite? True Let w(c) be the second derivative of -c**5/20 + 5*c**4/4 - 13*c**3/6 - 17*c**2 - 60*c - 2. Is w(11) a prime number? True Let v = -7754 + 19065. Is v prime? True Suppose -5*g + 3*g = 24. Suppose -5*y = 5, -4*f + 6*f + 3*y = -601. Is f/(-2) - g/(-24) composite? False Let o(f) = 5*f + 36. Let n be o(-6). Suppose 2*m - 2978 = -2*x, 4*x = -4*m + n*m + 5938. Suppose -t + x = t. Is t prime? True Let g = -4537 + -823. Let n be 20/15 - g/(-6). Let u = -534 - n. Is u a prime number? False Let i(k) = -219*k**3 + 6*k**2 - 13*k - 51. Is i(-5) a prime number? True Suppose v + 24733 + 15315 = 4*u, -2*v = -u + 10012. Let a = 16251 - u. Is a a prime number? False Suppose -4*w + 1052 = -q, 4*w - q - q - 1056 = 0. Is w prime? False Let r(m) be the second derivative of 1759*m**5/20 - m**4/12 - m**3/3 + m**2/2 + 60*m. Is r(1) a composite number? True Suppose -22*y + 33183 + 353661 = 3406. Is y a composite number? True Suppose 135467 = 2*r - 3*p, r - 63219 = p + 4513. Is r prime? False Suppose m + 3*z - 5 = 1, 5*m = z - 34. Is (-117900)/(-54) - (-8)/m a prime number? False Suppose -13777 = -a + 4*u + 17986, -5*a - 4*u = -158719. Is a prime? False Let k = 12907 + -22206. Let x = -1228 - k. Is x composite? True Suppose 107*n = 109*n - 89576. Is 2*n/8*(6 + -5) a composite number? False Let i(a) = -29*a - 9. Let o be i(-4). Suppose 4*v = -3*y + 193, o = 2*y + 3*v - 22. Suppose -2*b - 4*s = -y - 667, -3 = s. Is b a composite number? True Let j(n) = 5442*n**3 + 15*n**2 - 7*n + 5. Is j(3) a prime number? False Suppose 5*p = 8*p - 9. Suppose -60 - 44 = -4*f + 2*n, -p*f = -n - 79. Let u = f + 418. Is u a prime number? False Suppose -2*x = -3*d - 0*x - 343, d + 91 = -4*x. Let a = -111 - d. Suppose a = -2*q + 5254 - 1164. Is q composite? True Let s(z) = 2651*z**2 - 2*z + 8. Is s(-5) prime? True Let x = 502086 + -220165. Is x a prime number? True Let a(j) = -14*j**3 - 22*j**2 - 168*j + 139. Is a(-18) prime? False Suppose -4*r - 4*n = n - 3, 3*n - 5 = -4*r. Is ((-16665)/(-22) + -8)*(0 + r) prime? True Let k(o) = 3*o + 139. Let d be k(-31). Suppose -5*p + 5 = 0, p = -9*i + 4*i + d. Is i prime? False Suppose 113*m - 59*m + 333*m = 46525527. Is m a composite number? True Let w(m) = -m + 33. Let q be w(37). Let d(i) = 31*i**2 - 6*i - 1. Is d(q) composite? True Suppose -2*t - 91 = 601. Suppose 5863 = 56*k - 2705. Let i = k - t. Is i a prime number? True Suppose p - 13 = -42. Is (-28 - p) + 647*4 a composite number? True Suppose 0 = w - 3*v
{ "pile_set_name": "DM Mathematics" }
Let g = 1 + -0.3. Let a = 0.5 - g. Let s = -19/14 - -13/14. What is the third smallest value in a, s, -0.1? -0.1 Let c = -6 - -1. Let o = 61 + -60.9. Let g = 1 - 1.1. What is the smallest value in c, g, o? c Let b = -0.153 + -0.047. What is the third biggest value in -1/3, b, 4? -1/3 Let y = -1/38 - -155/114. What is the second biggest value in 1, y, -4, -1? 1 Let r = 4.3 + 2.7. Suppose -7 - 7 = 4*u - 3*q, 2*q = u + 6. Which is the third smallest value? (a) r (b) u (c) -0.5 a Let k = 2.2 - 2.4. Which is the third smallest value? (a) 3 (b) -4 (c) k a Let m = 0.61 + -0.05. Let n = 0.06 - m. What is the second smallest value in -2, n, 1/3? n Let p = -2.4 - -2.42. Which is the third biggest value? (a) -0.1 (b) 0.5 (c) p a Let x = 2.2 + -2. What is the third smallest value in x, 5, -1? 5 Let n be 0 - (-2 - (-28)/16). Which is the third biggest value? (a) -2 (b) -4 (c) 2 (d) n a Let o be (-77)/56 + (-2)/(-3). Let a = -5/6 - o. What is the third biggest value in a, -3/2, -2/7? -3/2 Let z = 41 - 38. Suppose 2*d = -4 - 4. What is the second biggest value in d, 4, z? z Let h = 0.02 - -0.18. Let g = h - 0.6. What is the biggest value in g, 3, -4? 3 Let p be 1 + -1 - 4/2. Let i be ((-16)/12)/(p/6). Suppose -4*y - i*s = -12, 4 = -2*s - 0*s. Which is the third smallest value? (a) -5 (b) y (c) -3/4 b Let w = -3.5 + 4. Let k = -0.8 + 0.3. Let u = 2.92 + 0.08. What is the biggest value in u, w, k? u Let c = 448/5 - 89. Let q = -3/77 + 169/385. What is the third smallest value in q, c, 2/3? 2/3 Let u be ((-6)/16 - 0)*(-12)/18. Which is the second biggest value? (a) u (b) -44 (c) -1/3 c Let l = -9.5 - -9.9. What is the third biggest value in l, -5, 0, 0.1? 0 Suppose -3*x - 7 = 2*q - 0, -3*q + 17 = -x. What is the second smallest value in q, 1, 3? 3 Let s = -8 + 23. Let l be s/(-4)*(-18)/(-15). Which is the biggest value? (a) l (b) 2 (c) 0 b Let r = 6 - 8. Let s = r - -2. Let h = -0.2 - s. What is the second smallest value in h, 0.1, 4? 0.1 Let g = 10463/42 + -1741/7. Let n = g + 2/21. What is the third smallest value in 0.2, 2, n? 2 Let q be 1/(15/(-13) - -1). Let w = 37/6 + q. What is the third smallest value in -2, w, -2/7? -2/7 Suppose -5*r - 2*v + 1314 = v, -2*r + 3*v = -534. Let g = r + -1324/5. Let u = 2 - 2.1. What is the third biggest value in u, g, 0.1? g Let u = 4201/3 + -1413. Let s = u + 13. Let g = -5.2 + 5. Which is the second smallest value? (a) g (b) s (c) -2 a Suppose g = 4*i - 2, -i = -g - 2*i + 13. Suppose -2*v + g = -0. Which is the biggest value? (a) 0 (b) 4 (c) v c Let l = 1624/143 - 150/13. Suppose 6*h = h. Which is the third smallest value? (a) l (b) 0.3 (c) h b Let j = -219 - -1527/7. Which is the fourth biggest value? (a) j (b) -3 (c) 0.2 (d) -6 d Let k(u) = -5*u**3 - 3*u**2. Let p be k(-2). Let j be 4/(-14) + 22/p. Let y be (-2)/(-6) - (-2)/(-15). Which is the third smallest value? (a) 0.3 (b) y (c) j c Let i be (1/(-2))/(2/(-8)). Suppose -4*d + 3*h - 13 - 7 = 0, -3*h = 5*d - 2. What is the biggest value in d, -2/13, i? i Let g = 0.9 - 11.3. Let q = g - -10. Which is the second smallest value? (a) q (b) 5 (c) -2/9 c Suppose 5*d = 5*s + 30, -3*d + 0 = 2*s + 2. Which is the smallest value? (a) -3 (b) 3 (c) d a Let v = 0.15 + -0.25. Let g = 0.03 - 3.03. What is the second smallest value in v, g, 0.2? v Let o = -0.23 - -0.03. Which is the second smallest value? (a) -2 (b) 0.1 (c) 1/2 (d) o d Let q = -203/5 - -2649/65. Let n = 3 + -1. What is the third smallest value in q, 1, n? n Let y = 3 - -2. Suppose -l = -y*l - 4*w + 20, 10 = 2*l - 4*w. Let d = -199 - -196. What is the second biggest value in d, l, -4/7? -4/7 Suppose 0 = -4*a - a + 5. Let v be (a/(3/(-6)))/(-1). What is the third biggest value in v, -0.5, 1? -0.5 Let o = -0.9 + 4.4. Let m = 3 - o. Let x = 1.6 + -1.3. What is the third biggest value in 5, m, x? m Let j(u) = u - 5. Let a be j(10). What is the biggest value in a, -1, 0.5, 2/7? a Let o(d) = -d**3 + 6*d**2 + 1. Let s be o(6). Let j = -41 + 38. Which is the second biggest value? (a) s (b) j (c) -0.1 c Let j = 293 + -291. Let o = 1 + -2. Let f be o - (-2)/4*-2. What is the biggest value in f, -4, j? j Let i = -0.498 + -0.002. Which is the second biggest value? (a) i (b) -4 (c) 0.5 a Let t = -0.6 - 3.9. Let d = 0.3 + -4.3. Let q = d - t. Which is the third biggest value? (a) -2 (b) -0.3 (c) q a Let z = 0.85 - 0.55. What is the fourth biggest value in 4, -2, z, 0.09? -2 Let j(m) = m**2 + 12*m + 29. Let h be j(-3). Let k = -0.3 - -0.2. Which is the biggest value? (a) k (b) h (c) 5 c Let g be -2 + 0 - (-55)/25. Which is the biggest value? (a) 4/3 (b) g (c) -1 a Let i(y) = -y**3 - 7*y**2 + 3. Let m be i(-7). Suppose -m*k - 2*k - 15 = 0. Let l = -0.2 + 1.2. What is the smallest value in -5, l, k? -5 Let w = 0.27 - -0.83. Let r = 0.9 - w. Which is the second smallest value? (a) r (b) -1 (c) -1/6 a Let i = 17.8 + -18. Which is the second biggest value? (a) -5 (b) i (c) -2 c Let s = -0.02 - 1.98. Let u = -352/1183 - -2/169. What is the second biggest value in u, 3, s? u Let x(b) = -9*b + 40. Let m be x(7). What is the smallest value in m, 0.3, 2/7? m Suppose 0 = s + 2*k - 6, -2*s - 2*k - 2 = 3*s. Which is the biggest value? (a) s (b) 0.4 (c) 0.1 (d) -0.4 b Suppose 16 - 4 = 3*y. Let t be (1/y)/(33/44). Let c = -2.99 - 0.01. What is the third biggest value in -5/2, c, t? c Let z = -5 + 5.5. Let n = -0.3 + z. Which is the smallest value? (a) n (b) 1 (c) 1/8 c Let s = 51 + -97/2. Let l = 0.31 + -13.31. Which is the second smallest value? (a) 2 (b) s (c) l a Suppose -3*a - n - 12 = 2*n, 4*n + 10 = -2*a. What is the third biggest value in 5, -2, a? a Let x(u) = 2*u**3 - 1. Let z be x(1). What is the third biggest value in -0.5, z, 1/3? -0.5 Let m = 1.31 + -1.4. Let y = -46/3 - -181/12. Which is the smallest value? (a) m (b) y (c) 5 b Let g be 54/280 + (-2)/(-10). Let v = -1/4 + g. What is the biggest value in 0, v, -3? v Let k = 47 + -51. Which is the third biggest value? (a) -31 (b) -2 (c) k a Let z be 2/(-8) - 7/4. Let a = 0.01 - 0.31. What is the smallest value in 0.1, z, a? z Let x = -5 - -8. Let d = x + -3.1. Let p = d - -0.2. Which is the second biggest value? (a) -4 (b) p (c) 2/3 b Let w = -35.7 - -28. Let i = -8 - w. Let s = -2.05 - -0.05. What is the second biggest value in -0.4, s, i? -0.4 Let d = -11 + 6. Let j be 4*(-2 + 15/6). Let h be j/(-8) - 0 - 0. Which is the second smallest value? (a) h (b) 5 (c) d a Let x = 0.034 + -0.404. Let p = -0.04 - -0.01. Let v = x + p. Which is the biggest value? (a) -2/9 (b) -4 (c) v a Let i = -8.877 + -0.123. What is the third biggest value in -2, i, 5, -2/3? -2 Let k = 0.3 + 0.2. Let o = 3 - 1. Which is the second biggest value? (a) o (b) -3 (c) k c Let k be -2 - (-1 - (-70)/(-4)). Let s = -17 + k. Suppose 6*y + 3*m = 3*y - 6, -5*m + 26 = -4*y. Which is the third biggest value? (a) 3 (b) s (c) y c Let x = -1.5 + 2.1. Which is the third smallest value? (a) -0.3 (b) 3 (c) x b Let i(w) = w**3 + 5*w**2 + 3. Let p be i(-5). Let j be (p/(-6))/(12/(-8)). What is the third biggest value in -2, 0, j? -2 Suppose 6*b = 3*b - 3. Let t be (1 - 1)*b - -3. What is the second biggest value in -0.1, t, 2/7? 2/7 Let t = -7 + 4. Let r = -5.5 - -5. Let m = 3/2 + -23/10. What is the biggest value in t, m, r? r Suppose -4*o - 16 = -0. What is the second smallest value in o, 2/3, 0? 0 Let q be 0/(-3 - 0 - -6). Which is the second smallest value? (a) q (b) 0.5 (c) -4 a Let f = -0.26 + -0.74. Which is the second smallest value? (a) 4 (b) f (c) 0.1 c Let h = 31.5 + -32. What is the biggest value in h, 0.02, 0.3? 0.3 Let j = 1 - -0.1. Let c = 1.9 + j. What is the second smallest value in -0.4, -0.3, c? -0.3 Let o = 96 + -91. Which is the smallest value? (a) o (b) -1 (c) 1 (d) -4 d Let g = -24.8842 - 0.0158. Let v = -25 - g. What is the third smallest value in v, -0.4, -1/5? v Let n = 38 + -40. Which is the smallest value? (a) n (b) -2/11 (c) 2/11 (d) 0 a Let z = -1 - -1.1. What is the biggest value in -1, z, 1? 1 Let y = 0.28 + 2.72. What is the smallest value in y, 2, 0.4? 0.4 Let t(s) = -s**2 + 13*s - 6. Let l be t(12). Suppose -8 = l*y - 2*y. Which is the third smallest value? (a) y (b) 2 (c) -
{ "pile_set_name": "DM Mathematics" }
first derivative of 3*g**5/25 - 9*g**4/20 + 3*g**3/5 - 3*g**2/10 + 31. Factor b(k). 3*k*(k - 1)**3/5 Let c(y) be the third derivative of -y**6/480 + y**5/240 + 5*y**4/96 + y**3/8 - 11*y**2. Factor c(w). -(w - 3)*(w + 1)**2/4 Let n(b) = 20*b**4 + 5*b**3 + 5*b**2 + 20*b - 25. Let h(o) = -o**4 - o + 1. Let j(i) = -25*h(i) - n(i). Factor j(d). 5*d*(d - 1)**2*(d + 1) Let p(u) be the first derivative of -u**4/22 + 4*u**3/33 + 11. Factor p(y). -2*y**2*(y - 2)/11 Suppose 2*l = -4*x + 10, l + 30 = 5*x - 0*x. Suppose -6*t - 2*m + 6 = -2*t, 5 = -x*m. Factor 0*g + 1/2*g**t - 1/2. (g - 1)*(g + 1)/2 Let i(c) be the second derivative of -1/24*c**4 - 1/6*c**3 + 4*c - 1/4*c**2 + 0. Suppose i(a) = 0. Calculate a. -1 Let r(l) = -l - 1. Let j be r(-5). Let d(h) be the second derivative of 0 + 2*h + 0*h**3 + 0*h**2 - 1/42*h**j. Let d(f) = 0. Calculate f. 0 Let q be 2*((-27)/12)/(-3) + -1. Let x(m) be the first derivative of 1 - 1/3*m - q*m**2 - 1/12*m**4 - 1/3*m**3. Determine k, given that x(k) = 0. -1 Let k be 72/42 + 4/14. Let m(l) be the third derivative of -1/240*l**5 + 0*l + 0 + 1/24*l**3 + 0*l**4 - 2*l**k. Find o such that m(o) = 0. -1, 1 Let m(f) be the third derivative of -1/630*f**7 + 1/180*f**5 + 0*f**4 + 0*f + 0 - 8*f**2 + 0*f**3 + 1/360*f**6 - 1/1008*f**8. Factor m(s). -s**2*(s - 1)*(s + 1)**2/3 Find m, given that 1/4*m**2 - 2*m + 4 = 0. 4 Let m(d) be the second derivative of -d**8/26880 + d**7/10080 - d**4/4 - 2*d. Let u(y) be the third derivative of m(y). Factor u(o). -o**2*(o - 1)/4 Let g be ((-2)/(-21) - 0)*6. Find o, given that -16/7*o**3 + 0 - g*o + 6/7*o**4 + 2*o**2 = 0. 0, 2/3, 1 Factor 0 + 3/5*z**3 + 3/5*z - 6/5*z**2. 3*z*(z - 1)**2/5 Determine l, given that 1/4 - 1/8*l**2 - 1/8*l = 0. -2, 1 Suppose v + g - 3 = 0, -2*v = -v + 4*g - 3. Suppose -8*m**4 - 6*m**v + 18*m**3 + 6*m - 15*m**2 + 5*m**4 = 0. Calculate m. 0, 1, 2 Let a(i) be the second derivative of 5*i**7/147 - i**6/15 - 3*i**5/70 + i**4/6 - 2*i**3/21 + 6*i. Determine u so that a(u) = 0. -1, 0, 2/5, 1 Let a be (-22)/(-33) - 2*8/(-21). Determine i so that 18/7*i**2 - 4/7 - a*i**3 - 2*i**4 + 10/7*i = 0. -1, 2/7, 1 Let c(f) be the second derivative of -1/10*f**6 + 1/6*f**4 + 0*f**2 + 0*f**3 - f - 1/20*f**5 + 0. Suppose c(z) = 0. Calculate z. -1, 0, 2/3 Let u = -4 + 7. Suppose v - 4 + 11 = u*z, 0 = -z + 3*v - 3. Factor -6*r**3 + 0*r**3 + 5*r**2 - 2*r**5 + 6*r**4 - z*r**2. -2*r**2*(r - 1)**3 Let 1/7*s**3 - 5/7*s + 4/7*s**2 + 0 = 0. What is s? -5, 0, 1 Let o be -2 + 52/32*-98. Let c = 162 + o. Factor c*d**3 + 0 + 3/4*d**2 + 0*d. 3*d**2*(d + 1)/4 Let a(w) be the first derivative of -2/7*w**3 + 1/7*w**2 + 0*w - 3. Determine l, given that a(l) = 0. 0, 1/3 Factor -351*h**4 - 297*h**2 + 341*h**4 - 37*h**3 + 100*h + 87*h**2 - 59*h**3. -2*h*(h + 5)**2*(5*h - 2) Let q(t) be the first derivative of 0*t - 2/21*t**3 - 2/35*t**5 - 1/7*t**4 + 0*t**2 + 3. Suppose q(v) = 0. What is v? -1, 0 Let m(t) be the third derivative of -5*t**8/1344 - t**7/105 - t**6/480 + t**5/120 - 2*t**2. Factor m(x). -x**2*(x + 1)**2*(5*x - 2)/4 Let r(y) = -y**2 + y. Let v(b) be the second derivative of -b**4/4 + b**3 - 3*b**2/2 + 3*b. Let g(i) = -6*r(i) + v(i). Let g(s) = 0. Calculate s. -1, 1 Let c(s) be the second derivative of 0*s**4 + 0 - 1/9*s**3 - 1/6*s**2 + 1/30*s**5 + 1/90*s**6 + 3*s. Determine q so that c(q) = 0. -1, 1 Let c(w) = -w**2 - 5*w - 2. Let p be c(-4). Let j(g) be the first derivative of 2*g**3 + 2*g + 3 + 3*g**p + 1/2*g**4. What is r in j(r) = 0? -1 Let u(v) be the first derivative of v**6/1260 + v**5/420 - v**3 + 2. Let k(o) be the third derivative of u(o). Determine y so that k(y) = 0. -1, 0 Factor 8/7 + 578/7*y**2 + 136/7*y. 2*(17*y + 2)**2/7 Suppose 8*x**2 + 34*x - 43*x - 4*x**3 + 21*x = 0. What is x? -1, 0, 3 Suppose 6*o = o + 10. Let t(s) be the first derivative of 6/5*s**5 - 4/3*s**6 + 0*s**3 + 1/2*s**4 + 0*s - o + 0*s**2. Solve t(d) = 0 for d. -1/4, 0, 1 Let j(k) be the first derivative of k**6/300 - k**4/60 + k**2/2 - 2. Let u(i) be the second derivative of j(i). Factor u(r). 2*r*(r - 1)*(r + 1)/5 Let v(c) be the third derivative of -1/8*c**4 + 0*c + 0*c**3 - 1/70*c**7 - c**2 - 3/40*c**6 + 0 - 3/20*c**5. Factor v(x). -3*x*(x + 1)**3 Factor -1/4*m**2 + 0 - 1/4*m. -m*(m + 1)/4 Let q(g) be the third derivative of -g**5/180 + g**3/18 + 2*g**2. Factor q(u). -(u - 1)*(u + 1)/3 Let n(d) be the third derivative of -d**8/70560 - d**7/8820 - d**6/2520 - d**5/20 - 4*d**2. Let f(g) be the third derivative of n(g). Solve f(h) = 0 for h. -1 Factor 9*q**4 + 2*q**3 + 5*q**4 - 2*q - 2*q**2 - 12*q**4. 2*q*(q - 1)*(q + 1)**2 Let h(c) be the first derivative of -c**3 + 3*c**2/2 + 21. Factor h(o). -3*o*(o - 1) Suppose 12 = 5*v + a, -v - 3*a = -7 - 1. Factor 2*i**3 + i**2 + 0*i**3 + v*i - 5*i**2. 2*i*(i - 1)**2 Let b(g) = -g**3 - 35*g**2 - 42*g - 18. Let m(x) = -3*x**3 - 123*x**2 - 147*x - 63. Let f(j) = -18*b(j) + 5*m(j). Factor f(d). 3*(d + 1)**2*(d + 3) Let b be 1*0/(0 - 1). Let o(v) be the third derivative of 0 + 2*v**2 + 1/12*v**3 - 1/24*v**4 + 1/120*v**5 + b*v. Solve o(u) = 0 for u. 1 Let j = -2173/3 - -735. Factor -2/3*u**5 - 6*u - 28/3*u**3 - j*u**2 - 4*u**4 - 4/3. -2*(u + 1)**4*(u + 2)/3 Factor 8/5 - 8/5*x - 2/5*x**2 + 2/5*x**3. 2*(x - 2)*(x - 1)*(x + 2)/5 Factor 0*q - 25/4*q**3 + 0 + 45/4*q**5 - 5/4*q**2 - 15/4*q**4. 5*q**2*(q - 1)*(3*q + 1)**2/4 Find g such that 1/6*g**3 + 1/6 + 1/2*g + 1/2*g**2 = 0. -1 Factor -59*z**2 + 24*z**2 - 3*z**3 - z**4 + 30*z**2 + 2*z + 7*z**3. -z*(z - 2)*(z - 1)**2 Let g(u) be the first derivative of 4*u**6/9 - 22*u**5/15 + 5*u**4/6 + 4*u**3/9 - 3. Determine c so that g(c) = 0. -1/4, 0, 1, 2 Let l be (-9)/(-6) - 5/(-10). Factor 0 + 2/7*v**l + 4/7*v. 2*v*(v + 2)/7 Let l(b) be the first derivative of 4*b**5/15 - 8*b**4/3 + 28*b**3/3 - 44*b**2/3 + 32*b/3 - 35. Let l(z) = 0. What is z? 1, 2, 4 Let b be (5/30)/(5/20). Determine c so that -b*c**2 + 2*c**3 - 2/3*c**5 - 4/3*c + 2/3*c**4 + 0 = 0. -1, 0, 1, 2 Let m(o) be the third derivative of 2*o**7/105 + 2*o**6/15 + 4*o**5/15 + 9*o**2. What is j in m(j) = 0? -2, 0 Let v = -817/7 - -117. Factor 0*o**2 + 0 + v*o - 2/7*o**3. -2*o*(o - 1)*(o + 1)/7 Let n(k) be the second derivative of 1/9*k**3 + 1/10*k**5 - k + 1/6*k**4 + 0 + 1/45*k**6 + 0*k**2. Factor n(x). 2*x*(x + 1)**3/3 Suppose 0 = 2*n + 2*n - 12. Suppose -2*z = -0*z. Factor j**3 + 3*j**n + j**2 + z*j**2 + 0*j**3. j**2*(4*j + 1) Let u(p) = 2*p - 7. Let s be u(5). Factor -y + 3 - 3 - y + 2*y**s. 2*y*(y - 1)*(y + 1) Let r(z) be the first derivative of 3*z**4/5 + 20*z**3/3 + 112*z**2/5 + 64*z/5 - 1. Factor r(w). 4*(w + 4)**2*(3*w + 1)/5 Suppose a = 5*j + 2*a - 15, 3*j + a = 11. Suppose -d + 4*n - 12 = 0, -3*d + 2*d = -n + 3. Factor d - 2/5*t**j + 0*t. -2*t**2/5 Let q(w) be the third derivative of 1/240*w**5 + 0*w + 0 + 10*w**2 + 1/6*w**3 - 5/96*w**4. Determine l, given that q(l) = 0. 1, 4 Let b be (-5)/1 - 153/(-27). Suppose 0 + 4/3*h - b*h**2 = 0. What is h? 0, 2 Suppose 2*y + 5 = 21. Let p be (-4)/y*(-4)/1. Factor -1/4*s**p + 0 + 0*s. -s**2/4 Let z = 4015/4 - 1003. Solve z*v**2 + 0 + 3/4*v = 0. -1, 0 Let 0*h**2 - 2/5*h**4 + 0*h + 2/5*h**3 + 0 = 0. What is h? 0, 1 Suppose -2 = 5*k + 4*c - 0, 5*k = 3*c + 19. Let o(d) be the first derivative of k + 0*d + 0*d**2 - 2/21*d**3. Suppose o(b) = 0. What is b? 0 Let f(m) = -m**2 + 1. Let j(l) = 12*l**2 - 4*l - 5. Let w(a) = 8*a**2 - 3*a - 3. Let k(s) = -5*j(s) + 8*w(s). Let o(t) = 3*f(t) + k(t). Factor o(d). (d - 2)**2 Let d(s) be the first derivative of s**4/4 + 2*s**3 + 6*s**2 + s + 3. Let l(i) be the first derivative of d(i). What is k in l(k) = 0? -2 Let b(t) be the second derivative of t**4/8 + 5*t**3/4 - 9*t**2/2 - 8*t. Factor b(h). 3*(h - 1)*(h + 6)/2 Let b be ((2/(-28))/1)/(360/(-28)). Let r(f) be the third derivative of f**2 + 0 - 1/72*f**4 + b*f**5 + 0*f**3 + 0*f. Factor r(n). n*(n - 1)/3 Let u = 5 + -5. Suppose 3*c = -u*c. Determine d, given that c*d - 9/5*d**3 + 3*d**4 + 0 - 6/5*d**2 = 0. -2/5, 0, 1 Let z(q) be the third derivative of 1/6*q**4 + 1/9*q**3 + 0*q + 1/720*q**6 + 0 - 1/105*q**7 + 3*q**2 + 11/120*q**5. Determine g so that z(g) = 0. -1, -2/3, -1/4, 2 Let v(y) be the first derivative of -y**3/5 + 3*y**2/5 - 1. Factor v(x). -3*x*(x - 2)/5 Factor -2*n**3 + 0 + 2/3*n**4 + 2*n**2 - 2/3*n. 2*n*(n - 1)**3/3 Suppose -2 - 8/3*j**2 + 26
{ "pile_set_name": "DM Mathematics" }
ding order. 6, 5, 0, k Let t = 591 + -592. Suppose -2*k = 4*k + 30. Let j = k + 8. Sort t, -4, 2, j. -4, t, 2, j Suppose -2*a - 216 = -152. Let j be 5 - 1/(16/(-4))*a. Sort j, 5, -58 in decreasing order. 5, j, -58 Let n(g) = 16*g - 27. Let y be n(3). Let x(l) = 6*l**2 + l - 1. Let b be x(4). Let p be 10/35 + b/y. Sort -3, -5, p, 0 in decreasing order. p, 0, -3, -5 Let i = 0.2377 - -47.1423. Let r = -47 + i. Let s = r + -3.38. Put s, -0.07, 0.4 in increasing order. s, -0.07, 0.4 Let o = -9.1 + 9.029. Let f = o - -0.171. Let z = -5.7 + 6. Put f, 3, -4, z in descending order. 3, z, f, -4 Let b = -1963 + 1967. Sort b, 2/9, 1, -3, -60. -60, -3, 2/9, 1, b Let w = 19 - 46. Let p be w/6*(-14)/(-21). Let l(y) = y**2 - 19*y - 17. Let s be l(20). Put p, s, 5, -4 in decreasing order. 5, s, p, -4 Suppose -f - 4*f - 20 = 0. Let p = 48535 + -48535.2. Sort f, p, 2, 0. f, p, 0, 2 Let z = 26337 - 26337. Sort 20.3, 0.3, z, -1/2. -1/2, z, 0.3, 20.3 Suppose 2*s = 15 + 5. Suppose -3*p + 5*n = s, -3*n + 5 = -3*p - 1. Let g = 156.95 - 156.65. Sort g, p, 2 in decreasing order. 2, g, p Suppose 0 = -21*v + 26*v - 10. Suppose 32*x + v = 30*x. Sort -4, -3, x in descending order. x, -3, -4 Let t = -2/83 - -257/332. Let j = -262.66 - -266. Let w = -6.34 + j. Put -5, t, -5/4, w in decreasing order. t, -5/4, w, -5 Let l = -605.6 + 14.6. Let z = 594 + l. Sort 2/3, z, -42, 4/7 in descending order. z, 2/3, 4/7, -42 Let o = 8.4 + -8. Let d = -61 + 673/11. Let r = 59 + -119/2. Put d, o, 0.3, r in ascending order. r, d, 0.3, o Let x = -194 - -6418/33. Let o = -2/3 + x. Sort o, 5/2, 0.3 in increasing order. o, 0.3, 5/2 Let c = 14399 - 14405. Sort -2/11, -0.1, 0, 3/7, c in descending order. 3/7, 0, -0.1, -2/11, c Let v be (-3)/12 + 82/8. Let f(s) = s**2 - 3*s - 38. Suppose -3*r + 8 = -16. Let y be f(r). Sort -5, y, v in ascending order. -5, y, v Let h(i) = 2*i**2 - 9*i + 19. Let l be h(3). Suppose -l*o - 143 = 3*o. Put 0.3, 3, o, 0.2 in ascending order. o, 0.2, 0.3, 3 Let x be -6*(-2)/6 - 1. Let w(t) = 11*t**2 + 2*t. Let s be w(-1). Put x, 2, s in decreasing order. s, 2, x Let y = -128 - -143. Suppose -3*d - 2*r - 4 = -13, -5*d + r + y = 0. Sort d, -2, -15, 8 in decreasing order. 8, d, -2, -15 Let r be ((-3)/(-4) + 0)/((-126)/(-224)). Put r, -1, -629, 7 in descending order. 7, r, -1, -629 Let v = 29 + -28.76. Let h = v - 0.44. Let c = 3/7 - 16/21. Put h, c, -2 in ascending order. -2, c, h Let m = -1802 + 1801. Sort -1/41, m, 2/13 in increasing order. m, -1/41, 2/13 Suppose -4*b = 26*t - 31*t + 9, 3*t - 4*b + 1 = 0. Suppose -5*m = -4*i - 40, 3*i - m - 1 = -t*m. Sort 0.09, i, 0. i, 0, 0.09 Let w = 22.35 + -22. Let f = w + 2.95. Let b = 10.3 - f. Put b, 0.3, -4 in ascending order. -4, 0.3, b Let p be (-1 - (-274)/(-4)) + 17 + -13. Let f = -66 - p. Put 30, -4, f in decreasing order. 30, f, -4 Suppose -517*x - 5*t + 39 = -518*x, 2*x + 3*t - 13 = 0. Suppose -5*c = 4*d - 20, -c + 25 = 5*d + c. Sort x, d, 14 in descending order. 14, d, x Suppose -5*x + 2*x + 12 = 0. Suppose 2*r - 4*r - 2 = 0, u + 3*r + 6 = 0. Suppose -17*z + 19*z = -7*f - 33, 3*z - 18 = 3*f. Put -1, f, u, x in decreasing order. x, -1, u, f Let z = 50.61 - 38.61. Put 4/13, -1/8, 2, z, -0.5 in ascending order. -0.5, -1/8, 4/13, 2, z Let b(p) = -7*p - 59. Let d be b(-19). Let o = -65 + d. Let s be 2*o/(-2)*(-2)/(-6). Put 3, 2, s in decreasing order. 3, 2, s Let o = -0.27 + -0.03. Let t = -0.467 + 0.967. Put o, t, -2/11, -3 in decreasing order. t, -2/11, o, -3 Let i = 895190 + -895191. Let q = -3 - -2. Let c = 3 + q. Sort -0.4, i, c, 3/2. i, -0.4, 3/2, c Let d be 27/12 - 2/8. Suppose d*n - 5 = n. Let v(o) = 3*o**3 - 5*o**2 - 61*o + 30. Let s be v(-4). Put n, -5, -11, s in increasing order. -11, -5, s, n Let i = -105 + 201/2. Suppose 1773 + 3407 = -10*m. Let f = 11912/23 + m. Sort 1, f, 4, i. i, f, 1, 4 Let z be 19 + (2 - 4 - 0/(-2)). Suppose -13 = 2*d - z. Sort -3, 1, -14, d. -14, -3, 1, d Suppose 4638 - 252 + 2954 = 20*n. Sort 5, -5, n, 0 in descending order. n, 5, 0, -5 Suppose 9 = -88*y + 91*y. Suppose -2*k = -y*q + 2, 42*q - 41*q - 2*k = 6. Sort 19, q, 4, -3 in decreasing order. 19, 4, q, -3 Let b(s) = -10*s**2 - 2*s + 16. Let p be b(3). Let n = 122 + p. Let h = n + -40. Sort 4, h, -3, -4. -4, -3, h, 4 Let o be 0 - (2 - (48/28)/1). Sort -0.2, -77, o in decreasing order. -0.2, o, -77 Suppose 13*f - 4920 = f. Let z = f + -411. Suppose 0 = -5*v + 4*u + 5 - 1, 3*u + 3 = -4*v. Sort z, -3, v in increasing order. -3, z, v Suppose -3*y = 2*d + 43, 6*y = 2*y - 3*d - 58. Let a(h) = -h**2 - 11*h - 22. Let u be a(-9). Put 5, u, y in descending order. 5, u, y Let r = 20/9 + -2. Sort 5, -4/3, 10/3, 0, r in decreasing order. 5, 10/3, r, 0, -4/3 Let y be (-1 - -4 - 4) + 3. Let x be (53 + -4 - 5)/(-1). Put y, 3, x in descending order. 3, y, x Let f = 20 + -11. Let b = f + -13. Suppose -13*q = -5*q - 32. Sort q, b, -3 in ascending order. b, -3, q Let l = 22 + -33. Suppose 43*r = -61 - 50 + 25. Put 2, 3, l, r in increasing order. l, r, 2, 3 Suppose -3*l + 6 = -5*o, 4*l = 2*o - 6*o - 56. Sort -5, 2, l, 8, 2/11. l, -5, 2/11, 2, 8 Let r = -15 + 19. Let t(l) = -456*l + 453. Let z be t(1). Put z, r, -7 in ascending order. -7, z, r Let j = -1.6 - -1.7. Let o = -606 + 607. Let z = 27 - 192/7. Sort o, 2/5, j, z in increasing order. z, j, 2/5, o Suppose -2379*d - 399 - 2105 = 125*d. Suppose 0 = i - 0 + 2. Sort 4, d, i, -15 in decreasing order. 4, d, i, -15 Let v = -1666 - -1665.8. Let t = -134 - -135. Put t, v, 1/20 in ascending order. v, 1/20, t Let p = 71 + -341/5. Let a = -38547.1 - -38547. Put p, 0, a, 1 in ascending order. a, 0, 1, p Suppose -3*u = 2*g + 142, 4*g - g - 147 = 3*u. Let t be (18/u)/(2 + (-1)/2). Let v = -5.2 - -5.7. Sort 1/5, -1/7, t, v in descending order. v, 1/5, -1/7, t Let m be (713/69 + -10)*6. Put -1, m, -276 in increasing order. -276, -1, m Let a(f) be the first derivative of -15*f**2 - 286*f - 137. Let m be a(-8). Put 1, -1, m in descending order. 1, -1, m Let w = -2162 + 2161. Put -31, 0, w, -2 in descending order. 0, w, -2, -31 Let d(g) = 7*g + 47. Let i be d(-7). Suppose 2*j = 5*h - 13, 4*h - 5 - 3 = j. Put i, 5, 9, j in ascending order. j, i, 5, 9 Let m = 5 - 8. Let s(b) = 5*b - 111. Let q be s(25). Let z be 2 - (-6)/14 - (-8)/q. Put 0.02, z, m in ascending order. m, 0.02, z Let m be ((-3)/(-12))/(6/(-36)). Let p = -0.913 + -0.087. Let l be (-231)/(-49) + (-2)/(-7). Sort m, 0, p, l in increasing order. m, p, 0, l Let x(f) = f**3 + 5*f**2 - 4*f + 12. Let m be x(-6). Suppose m = -2*u - 0 - 2. Let a(p) = p**3 + 4*p**2 + 5. Let z be a(-4). Sort u, 4, z. u, 4, z Let q(a) = 6*a - 15. Let h(s) = 2*s - 5. Let r(i) = 7*h(i) - 2*q(i). Let b be r(7). Let f be (-1)/(-12) - 3/b. Sort f, 3/5, -5 in descending order. 3/5, f, -5 Let z be 3/(-18) + 2/12*-23. Let a be (-8)/z + (-1)/3*7. Let m = 51/44 + -9/22. Sort a, 0.3, m in increasing order. a, 0.3, m Let j(g) = -g. Let f be j(0). Let c(p) = 12*p + 416. Let x be c(-34). Suppose -5*y + 4*b + x + 4 = f, 2*y = b + 6. Sort -10, -4, 5, y in descending order. 5, y, -4, -10 Let n be 3/(-1)*(-2)/6. Suppose -206*j + 208*j - 58 = 0. Suppose 26 = -t + j. Put 2/5, n, t, -3 in descending order. t, n, 2/5, -3 Let m = 25969 + -25969. Sort 7, 6, m, 1, 3 in increasing order. m, 1, 3, 6, 7 Let h(v) be the first derivative of -v**3/3 - 5*v**2 + 38*v - 121. Let f be h(-13). Put -4, 3, f in increasing order. -4, f, 3 Let k = -2 - -12. Suppose o + 12 = k. Sort 4, -1, -3, o in increasing order. -3, o, -1, 4 Suppose -64*y + 896 = 38*y + 80. Sort 2/15, 16, y. 2/15, y, 16 Suppose -5*z = n - 112, -15*n + 16*n - 92 = -z. Let j = n - 88. Put 2, 4, -6, j in descending order. 4, 2, j, -6 Suppose -11*m = -46 - 36 + 27. Let y = -3.91 + -0.09. Put m, y, 12 in descending order. 12, m, y Let h = 1058.2 - 969.2. Put -0.12, 1, 0.3, h in decreasing order. h, 1, 0.3, -0.12 Let i = 47478 - 47478.1. Put 0, -29/3, -4, i in ascending order. -29/3, -4, i, 0 Let v = -8806/9 + 61660/63. Sort 719, -2, v in decreasing order. 719, v, -2 Let z(j) = -3*j + 32. Let p be (-2)/2 + (-3 + 1)/2. Let g(r) = 2*r**2 + 8*r + 16. Let b be g(p). Let u be z(b). Sort -4, 5, u in increasing order. -4, 5, u Suppose -q + 58 = -i, -20*q + 21*q = 2*i + 111. Sort -1, -5, i in decreasing order. -1, -5, i Let u = -11497 + 11492. Put -461, 0, u, -2/3 in a
{ "pile_set_name": "DM Mathematics" }
. Solve -x*n = c + a for n. -1 Let p = -5 + 10. Let v be (24/p)/(1/5). Suppose -5*i - 28 = -t, -i = -3*t + 2*i + v. Solve 0 = -o + t*o - 2 for o. 1 Let d(m) = m**2 - 2. Let u be d(0). Let h be (3/(-6))/(u/8). Let n = 1 + 2. Solve -h = b + n for b. -5 Let k be 198/77 - (-6)/14. Let j be (-2)/3 + (-56)/(-12). Solve -2*s + k*s - j = 0 for s. 4 Suppose -2*h - h + 12 = 0. Solve 6*o + h = 2*o for o. -1 Let p = -8 + 8. Solve 4*g + g = p for g. 0 Suppose -f + 0 = 4. Let d be -2 + (-7)/(35/10). Let g = f - d. Solve -5 = -x - g for x. 5 Suppose -h + 0*b - 3*b - 13 = 0, 4*b = -5*h - 10. Solve -12 = -2*v - h*v for v. 3 Suppose 117 = -v + 4*v. Suppose -2*n + v = n. Suppose 3*d - d - 4*y + 2 = 0, 5*d = y + n. Solve -7*w + d*w = 8 for w. -2 Let v be (-30)/(-7) + (-4)/14. Suppose 20 = -4*a + 4, -v*n = -3*a - 24. Solve c - n*c = 2 for c. -1 Suppose -11*l + 15*l - 40 = 0. Solve -6*u + l = -u for u. 2 Suppose -6 = -4*z + z. Suppose 3*y - 5 = 19. Solve -2 = -z*f + y for f. 5 Let a be 112/(-14)*(-2)/2. Suppose -4*g + a = -16. Solve 3*p + g + 6 = 0 for p. -4 Let u = -1 - -4. Let t(q) = -2*q - 12. Let m be t(-6). Let c be (4/5)/(12/90). Solve m = -3*p - u + c for p. 1 Suppose 0*o - 9 = -2*l + o, -5*o + 39 = 4*l. Solve -d - l = -3*d for d. 3 Suppose 2*r - 28 = -r + 4*l, 0 = l + 4. Solve y = r - 2 for y. 2 Let b = 3 + -4. Let x be b*(2 + -8 + 1). Solve 3*t = x*t - 10 for t. 5 Suppose 6*s = 8*s - 4. Solve s*c + 0*c - 6 = 0 for c. 3 Suppose -2*h + 6 - 18 = 0. Suppose -z + 2*z + 7 = -o, -z = -5*o - 29. Let m = h - o. Solve -3*g = -m + 9 for g. -3 Suppose -5*r + 3*r = -72. Suppose 2*j - 4*j = -r. Solve 4*l - 2 = j for l. 5 Suppose 11*c = 8*c - 9. Let v = 9 - c. Solve -3*d = -0*d - v for d. 4 Let x(w) = -w + 1. Let p be x(1). Solve p*z - 16 = -4*z for z. 4 Let z be ((-45)/10)/9*0. Solve z = -5*q + 8 + 17 for q. 5 Suppose 4*f + 3*z + 12 = 8*z, 3*f - 2*z + 2 = 0. Suppose -f*w + 6 = w. Solve -w*x + 5*x = 9 for x. 3 Let l be ((-5)/15)/((-1)/24). Solve 2*a + 0 = l for a. 4 Let b = 9 - 14. Let d = 7 + b. Suppose -3*p + 2*p + 6 = 0. Solve d*g - 2 = p for g. 4 Let j be 1/((-14)/4 - -4). Solve -2*i = -4*i - j for i. -1 Let i = 4 + -1. Suppose 0 = -0*h - 3*h. Suppose 0 = -3*s + 6 + 3. Solve -s = -i*y - h for y. 1 Let u = 140 + -100. Suppose 7*g - 2*g = u. Solve -3*j + g = j for j. 2 Suppose -p = p. Let u be p - (-3 - (3 - 3)). Solve -u*j - 20 = -8*j for j. 4 Let t be ((-4)/(-8))/(1/6). Suppose -t*l + 3 = -12. Suppose 2*j - 6*j = f - 18, -l*f + j = -6. Solve f*z + 9 = -1 for z. -5 Let o(q) be the second derivative of q**4/12 + q**3 - q**2 - q. Let l be o(-7). Let v(f) = f**2 - 5. Let d be v(-3). Solve 15 = d*y - l for y. 5 Suppose 3*y + t = -y + 47, -5*y - 2*t = -58. Solve -y = -0*o - 4*o for o. 3 Let g be 4/22 - 20/(-11). Let b(d) = d**3 - d**2 + d + 2. Let v be b(g). Let z = v + -5. Solve 1 + z = -t for t. -4 Suppose -40 = -w - 30. Solve 0 = -4*z + 2 + w for z. 3 Suppose 5*b - 6 + 1 = 0, 0 = 5*l - b - 29. Solve -l = 4*g - g for g. -2 Let g be -2 - (-11 - (5 - 2)). Suppose 13 = 5*s - g. Let w(q) = q + 3. Let x be w(-3). Solve 2*t - s*t + 6 = x for t. 2 Let g be (-1)/(-2)*6*1. Suppose 0*o = -g*o + 9. Suppose -4*i + 15 = o*p - i, 0 = -3*p - 2*i + 14. Solve p = 4*s + 16 for s. -3 Suppose 0 = -9*g - 11 + 29. Solve -n = -g*n for n. 0 Let d be 9/4 + 6/(-24). Let y = d - -16. Suppose 2*c + 4*a = 8 + 4, -5*a - y = -3*c. Solve -g = 2*g - c for g. 2 Suppose 4*g = 1 + 11. Solve 4*w + 11 = g for w. -2 Suppose 0 = -3*g + 1 + 5. Solve -7*l = -g*l + 25 for l. -5 Let o(v) = -24*v + 5. Let a(w) = w - 12. Let t be a(7). Let k be o(t). Suppose g = 6*g - k. Solve -5*i - g = -10*i for i. 5 Let z = -1 - -1. Let i(x) = -x**3 + 8*x**2 - x + 8. Let r be (18/3)/((-9)/(-12)). Let q be i(r). Solve z*h + h + 5 = q for h. -5 Let a = 7 - -3. Let d be 2 + -1*0/1. Suppose -g = 5*l - d + 5, -2*l = -4*g + a. Solve g*h = 2 - 8 for h. -3 Let s be -1 - (-4 + 3 + 0). Suppose 2*v + 3*v - 30 = s. Let w(q) = q - 6. Let k be w(v). Solve k*n - 1 = n for n. -1 Let y(u) = -u**2 - 8*u - 8. Let j be (8/(-6))/(4/18). Let o be y(j). Suppose 0*i + o = i. Solve i*z - 1 = 19 for z. 5 Suppose -5 = -j - 2, 0 = 3*x + 5*j - 27. Solve -x*i + 5*i = -3 for i. -3 Let z(q) = -q**2 + 4*q - 3. Let n be z(3). Let x be 6/(-21) + 74/14. Let w = -19 - -44. Solve w = -x*c - n for c. -5 Let i(v) = v**3 - 6*v**2 - 8*v + 9. Let p be i(7). Let h be -15*-4*4/(-24). Let q be ((-16)/20)/(p/h). Solve -4*z + q = 12 for z. -2 Let o = 15 - 11. Suppose -o*s + 17 = -23. Solve -j - s = j for j. -5 Let k(p) = -p**3 + 2*p**2 + 5*p - 2. Suppose s - 2 = 1. Let n be k(s). Suppose -2*y - 33 = -83. Solve n*u + u = -y for u. -5 Let a be (0 + 1)/(56/(-20) + 3). Solve -a*n = -1 - 4 for n. 1 Let q be (1 + 4/2)*2. Suppose c - q = -c. Solve c*f + 3 = -0 for f. -1 Let v be (-6)/(-4) + 6/4. Suppose 0 = -2*q - v*q + 10. Solve -q = -3*l - 17 for l. -5 Let w(x) = -x**3 + 3*x**2 - 3*x + 4. Let j be w(3). Let v = j - -2. Let g = v - -5. Solve -a + g*a = -4 for a. -4 Suppose 0 = -q + 4 - 2. Suppose -i + 6 = q*i. Solve 0 = -m - 4 + i for m. -2 Suppose 0 = 4*v + 23 + 25. Let r be (v/(-7))/(2/7). Suppose 0*y = 2*y - r. Solve -q - y = -0*q for q. -3 Let g be ((-18)/(-12))/((-6)/(-16)). Solve -a = -g - 0 for a. 4 Let x(h) = -h - 3. Let y be x(-8). Suppose 2*o = 3*o - y. Solve -o*w - 26 = -11 for w. -3 Let d = 17 - 10. Solve 2 = 5*i + d for i. -1 Let d be (2 - 0)*(-3 + 77/14). Solve -f = -d*f + 8 for f. 2 Let x = -4 + -4. Let i = x + 11. Suppose i*n + n = 16. Solve -4*g + 12 = -n for g. 4 Let v be ((4 - 12)/(-8))/(1/4). Solve -v*i + 3*i - 5 = 0 for i. -5 Suppose 3*m - 6*m + 19 = -4*p, 5*m - 2*p - 13 = 0. Solve 4 - m = -3*i for i. -1 Suppose -4*w = k, -k + w = 3*k - 17. Solve 9*u - k = 5*u for u. 1 Suppose -t - 5*x = 5, 0 = t - 2*x + x - 1. Solve 2*p + 2 + 2 = t for p. -2 Let f(b) = -b**2 - 5*b - 6. Let v be f(-2). Solve -g = -v*g + 5 for g. -5 Let k be (-6)/(-15) + 8/(-20). Suppose -2*x + 28 + 4 = k. Solve -x = -2*u + 6*u for u. -4 Let l(d) = -d**2 + 11*d - 3. Let z be l(9). Suppose -2*f = -z + 5. Solve f*y = 7 - 2 for y. 1 Suppose -2 = 7*n - 8*n. Suppose -1 = -n*l + 5. Solve -m = -1 - l for m. 4 Let b = 1 + 3. Solve 4*i - b = 2*i for i. 2 Suppose 0 = 5*z - 0*z - 140. Suppose -5*u + 36 = 2*h - 0*h, -5*u = -h - 12. Suppose -3*q = -0*q - 12. Solve z - h = q*l for l. 5 Let p = -13 - -22. Let u = -3 + 7. Suppose 3*r - 4*w - 33 = 0, -w - 44 = -u*r + 2*w. Solve -5*o + r = -p for o. 4 Let v = 72 + 28. Let b be v/6 - (-4)/12. Solve -4*x + b - 5 = 0 for x. 3 Suppose 4*n = -5*o - 6, -n - 11 - 1 = -4*o. Suppose -3*v + u + 15 = 0, -7 + 0 = -v + u. Solve o - v = b for b. -2 Let v = -64 + 74. Solve 0*s + 2*s + v = 0 for s. -5 Let o be 17 - -3*4/6. Let v = o + -10. Solve 2*s - 1 = v for s. 5 Suppose -4*m - 15 = -7*m. Solve 0 = t - 0*t - m for t. 5 Let j = 50 + -48. Solve 7*v = j*v - 20 for v. -4 Let c(k) = k**3 + 10*k**2 - 11*k - 4. Let z be c(-11). Let p be (-2 + -2)*2/z. Solve j = p*j for j. 0 Let d(q) = -q**3 + 8*q**2 + 6. Let f be d(8). Let z = f + -6. Let g = -10 + 14. Solve z*x = -g*x for x. 0 Suppose -y + t + 1 = 0, 2*t = -2*y - 0*t - 2. Let g be (2 + 0 - 3) + 6. Suppose u = -g*z + 5, 0 = 5*z - u - 4 - 11. Solve -z*o + 3 - 7 = y for o. -2 Suppose -5*a + 46 = -4. Solve 5*s = -0*s - a for s. -2 Let u(j) = -j**3 + 7*j**2 - 4*j - 8. Let v be u(6). Suppose -8 = v*z, 0*b - 3*z = 5*b - 14. Solve 0 = b*t - t - 3 for t. 1 Suppose 3*s + 6 - 1 = -2*h, -s = -4*h + 25. Suppose -3 + 23 = h*m. Solve -m*d - 3 = -3*d for d. -3 Let g(r) = -4*r + 1. Let z be g(-1). Suppose 0 = 42*j - 38*j. Solve q = -j*q - z for q. -5 Suppose a = -5*g - 25, 0 - 5 = 4*a + g. Suppose -d + 3 = -a*d. Solve -m = -d - 1 for m. 4 Let u be -2*((-29)/2 - -2). Let i = 31 - 11. Suppose -5*g - i = -4*y, -2*y - y + 16 = -4*g. Solve -x - 4*x - u = y for x. -5 Let d = -119 + 123. Solve -s = d*s for s. 0 Let u be (-2)/((-22)/26 + 1). Let m = -4 - u. Let p = -5 + m. Solve p + 0 = -q for q. -4 Let c be 1/((((-4)/4)/3)/(-1)). Solve -c*w = -2*w - 4 for w. 4 Suppose 2*p = 5*p. Solve a + 1 = -p for a. -1 Let i(c) = c**2 - 4*c - 4. Let s be i(5). Suppose 5*n = 4*r + 35, 4*n + 3*r + 4 = s. Suppose -n = g - 6. Solve 2*a + g - 1 = 0 for a. -1 Let k(z) = z**2 - z - 2. Let l be k(2). Let m(n) = -n**2 - 7*n - 3. Let a be m(-6). Solve -a*p - 12 = -l*p for p.
{ "pile_set_name": "DM Mathematics" }
c(5). Determine h*q(z) - 3*a(z). 14*z**2 Let l(z) = -3*z - 2. Let n(b) = b. Let t(v) = -l(v) - 2*n(v). Let i(f) = 5*f + 11. Determine 4*i(x) - 22*t(x). -2*x Let w be ((-1)/2)/(18/(-144)). Let j(f) = 7*f**3 - 2*f**2 + 4*f + 2. Let i(d) = 18*d**3 + 24*d**3 - 61*d**3 - d**2 + d + 1 + 20*d**3. What is w*i(h) - j(h)? -3*h**3 - 2*h**2 + 2 Let b(h) = h**2 - 6. Suppose 0 = 12*n - 18*n - 36. Let d(t) = -1. Let q(k) = 1. Let x(r) = -3*d(r) - 4*q(r). Give n*x(z) + b(z). z**2 Let w(k) = -129*k**2 + k - 6. Let a(p) = 2. Give a(s) + w(s). -129*s**2 + s - 4 Let a(l) = -l + 1. Let p(h) = -2*h**2 + 8*h - 8. Let z(f) = -2 - 19 + 9*f - 3*f**2 + 8*f + 4. Let k(q) = 5*p(q) - 3*z(q). Determine 22*a(w) - 2*k(w). 2*w**2 Let h(x) be the third derivative of x**5/60 + x**4/24 - x**3/6 - 60*x**2. Let q(b) = -b**2 + 6*b - 6. Give -6*h(c) + q(c). -7*c**2 Let j(d) = 32*d - 42. Let f(c) = 12*c - 15. Let l(b) = 14*f(b) - 5*j(b). Let k(n) = -39*n. Determine 2*k(z) + 11*l(z). 10*z Let h(g) = 32*g**2 + 14*g - 12. Let p(m) = -3*m**2 - m + 1. Determine h(l) + 10*p(l). 2*l**2 + 4*l - 2 Let v(b) = -1371*b + 28. Let p(u) = -684*u + 13. Calculate -13*p(g) + 6*v(g). 666*g - 1 Let z(x) = -7*x**2 + 4. Suppose -7*g - 2*g = -945. Let l be (-2)/15 - 511/g - 0. Let j(i) be the first derivative of i**3 - 2*i + 1. Give l*j(a) - 2*z(a). -a**2 + 2 Let v(b) = 2*b**2 - 4*b - 4. Let n = -2 - -1. Let m(d) = d + 3. Let l be m(n). Let g(j) = -j**2 + 2*j + 2. Give l*v(o) + 5*g(o). -o**2 + 2*o + 2 Let r(b) = -459*b. Suppose 223 = -2*h + 5*q, -4*q - 607 = -22*h + 27*h. Let x(c) = -23*c. Calculate h*x(f) + 6*r(f). -17*f Let x(o) = -3*o**3 + 6*o**2 + 6*o + 4. Let n(i) = -2*i**3 + 5*i**2 + 5*i + 4. Calculate -6*n(t) + 5*x(t). -3*t**3 - 4 Let h(k) = 63*k**3 + 5*k**2 - 5*k - 2. Let v(a) = 62*a**3 + 4*a**2 - 4*a - 2. Determine 4*h(z) - 5*v(z). -58*z**3 + 2 Suppose -5 = -13*c + 60. Let a(l) = 7*l + 2. Let h = -1 + 3. Let t(b) = -h + 4 + 1 + 5*b + 6*b. Determine c*t(m) - 8*a(m). -m - 1 Let u(s) = -s**3 + s**2 + s - 1. Let p(o) = 6*o**2 + 2*o - 2. What is -p(l) + 2*u(l)? -2*l**3 - 4*l**2 Let s(g) = g**3 - 3*g**2 - g. Let w(n) = 12*n**3 - 10*n**2 + 9*n**3 - 17*n**3 - 3*n**2 - 4*n. Let q be 30/(-8) + ((-15)/(-4) - 4). Calculate q*w(t) + 18*s(t). 2*t**3 - 2*t**2 - 2*t Let l(h) = -h**2 + h + 1. Let m(k) = -k**3 - 5*k**2 - 3*k + 9. Let v(q) = 2*q**3 + 10*q**2 + 6*q - 15. Let t(f) = 7*m(f) + 4*v(f). Calculate -6*l(x) + 2*t(x). 2*x**3 + 16*x**2 Let s(d) = 25*d**2 + 6*d + 15. Let f(h) = 2*h - 3. Calculate -5*f(n) - s(n). -25*n**2 - 16*n Let x(g) = -2*g**3 - 10*g**2 - 7*g - 4. Let m(r) = 4*r**3 + 10*r**2 + 8*r + 5. Give 2*m(d) + 3*x(d). 2*d**3 - 10*d**2 - 5*d - 2 Let c(d) = -d**2 + d - 2. Let t(q) = 1. Let y(k) = -3*c(k) - 6*t(k). Let r(x) = -3*x**2 + 4*x - 2*x - 4*x**2 + 5*x**2. Calculate 10*r(s) + 6*y(s). -2*s**2 + 2*s Let c(z) = 15*z - 6. Let w be c(10). Let n be (-32)/w - (-112)/18. Let y(o) = -1. Let d(s) = -3*s + 4. Calculate n*y(i) + d(i). -3*i - 2 Let u(k) = 7*k**3 - 3*k**2 - 9. Suppose -54*s = -29*s + 225. Let c(x) = -3*x**3 + x**2 + 4. Calculate s*c(q) - 4*u(q). -q**3 + 3*q**2 Let v(j) = 4*j - 5*j**3 - 3 - 18*j**2 - 7*j**2 + 23*j**2 - 1. Let g(f) = 14*f**3 + 6*f**2 - 11*f + 11. Give 4*g(a) + 11*v(a). a**3 + 2*a**2 Let w(a) = 16*a**3 + 4*a**2 + a - 5. Let t(p) = -16*p**3 - 5*p**2 - p + 6. Calculate -4*t(v) - 5*w(v). -16*v**3 - v + 1 Let y(q) = -4*q**3 + 5*q**2 - 8*q + 4. Let d(w) = 5*w**3 - 6*w**2 + 9*w - 4. Let o(u) = 5*d(u) + 6*y(u). Let i(b) = -b**3 + 3*b - 5. Calculate -4*i(z) - 5*o(z). -z**3 + 3*z Let n(v) = -13*v**3 - 9*v**2 - 4*v - 1. Let t = 19 - 10. Let b(q) = -q + 0*q**3 - 3*q**3 + 0*q - 8*q**2 + 6*q**2. Determine t*b(o) - 2*n(o). -o**3 - o + 2 Let a(r) = -2*r**2 + 6*r + 6. Let s(k) = -2*k**2 + 6*k + 5. Suppose 0 = -2*l + 3*g + 18, 32 = 9*l - 5*l - 5*g. Give l*a(p) - 4*s(p). 2*p**2 - 6*p - 2 Let w(q) = -q**3 + q - 1. Let c(u) = 2*u**3 + 2*u - 2. Suppose 0 = -2*b + 23 - 11. Suppose 2*z = 3*m - 16, -2*z - b*m = -5*m. Determine z*w(d) + c(d). 4*d**3 Let f(a) = 13*a + 198. Let b(j) = 37*j + 594. What is -6*b(o) + 17*f(o)? -o - 198 Let l(x) = -119*x**2 + 4*x. Let u(n) = -24752*n**2 + 833*n. Give -833*l(r) + 4*u(r). 119*r**2 Let n(a) = -2*a + 1. Let y(x) = -13*x + 15. Let b(z) = 2*n(z) - y(z). Let h(f) = -4*f + 6. Give 6*b(g) + 13*h(g). 2*g Let i(t) = 4*t - 23. Let m(g) = g - 47. Determine 5*i(q) - 3*m(q). 17*q + 26 Let j(p) be the first derivative of -p**4/4 - p**3/3 - 244. Let a(z) = -7*z**3 - 2*z**2 - 2. Suppose -c = 3*r + c + 8, -2*r + c = 3. Determine r*j(o) + a(o). -5*o**3 - 2 Let u(d) = d**3 + 3*d**2 - 201*d + 1. Let g(n) = -2*n**3 - 5*n**2 + 402*n - 2. Calculate -3*g(y) - 5*u(y). y**3 - 201*y + 1 Let v(m) = -13*m**3 - 3*m + 14. Let a(t) = 25*t**3 + 7*t - 30. Give 3*a(h) + 7*v(h). -16*h**3 + 8 Let u(k) = -k**2 + 7*k + 29. Let z(y) = -y**2 + 6*y + 29. Calculate -4*u(r) + 5*z(r). -r**2 + 2*r + 29 Let y(w) = 5*w**3 - 6*w**2 + 3. Let s(q) be the third derivative of 0*q**4 + 13/60*q**5 + 0 - 11/120*q**6 - 13*q**2 + 0*q - 7/6*q**3. Give 3*s(j) + 7*y(j). 2*j**3 - 3*j**2 Let l(t) = -10*t - 20. Let w(r) = 3*r + 1. Determine -2*l(q) - 6*w(q). 2*q + 34 Let o(c) = -98*c**3 - 2*c + 2. Let p(n) = -1272*n**3 - 27*n + 27. Calculate -54*o(v) + 4*p(v). 204*v**3 Let q(r) = -2*r**3 + 3*r**2. Let i(j) = 3*j**3 - 5*j**2. Let p = 221 + -227. Let y = 7 - 17. Determine p*i(z) + y*q(z). 2*z**3 Let c(n) = n**3 + n**2 - 3. Let w(s) = 388*s**3 + 5*s**2 - 15. Give 5*c(b) - w(b). -383*b**3 Let k(n) = -2*n - 115. Let f(w) = 2*w + 117. What is -5*f(y) - 4*k(y)? -2*y - 125 Let g(v) = 2*v + 5. Let l(i) = -i - 2*i + 4*i - 2*i - 3*i - 9. What is -7*g(c) - 4*l(c)? 2*c + 1 Suppose -4*g - 32 = -4*r, -27 = 4*g - 2*r - 5. Let l(s) = -s - 1. Let k(w) = -23406 + 23410 - w + 3*w. Give g*l(o) - k(o). o - 1 Let h(u) = -2*u**2 + u + 1. Let l(s) = 8*s**3 + 4*s**2 - 64*s - 2. Calculate 2*h(q) + l(q). 8*q**3 - 62*q Let x(j) = -7*j**3 + 13*j**2 - 5*j - 5. Let q(c) = 3*c**3 - 7*c**2 + 2*c + 2. Determine 5*q(v) + 2*x(v). v**3 - 9*v**2 Let c(x) = -x**3 - 2*x**2 + 1. Let b(h) = 4*h**3 + 4*h**2 + 2. Let j(u) = -u**3 - u**2 - 1. Let l(t) = b(t) + 3*j(t). What is -4*c(d) - 5*l(d)? -d**3 + 3*d**2 + 1 Let s(g) = -g**3 - 8*g**2 - 2*g. Let y be s(-8). Suppose -3*v = -11*v - y. Let r(p) = -6*p**2 - p - 2. Let o(b) = 31*b**2 + 5*b + 11. Give v*o(c) - 11*r(c). 4*c**2 + c Let i(q) be the first derivative of -7*q**3/3 + q**2 - 464. Let v(k) = 20*k**2 - 5*k. Give 17*i(y) + 6*v(y). y**2 + 4*y Let f(a) = 3*a**2 + 4. Let o(h) be the first derivative of h**2/2 + 6*h + 3. Let w be o(5). Let g(i) = 8*i**2 + 11. Let v = -38 + 34. Give v*g(k) + w*f(k). k**2 Let n(u) = u**3 - 4*u**2 - u. Let i(v) = -2*v**3 + 23*v**2 + 7*v + 3. What is i(j) + 5*n(j)? 3*j**3 + 3*j**2 + 2*j + 3 Let d(v) = -12*v**2 - 23. Let j(a) = -6*a**2 - 11. What is 2*d(m) - 5*j(m)? 6*m**2 + 9 Let q be ((220/15)/11)/(4/3). Let a(t) = -t**2 - 4*t - 4. Let x(w) = -w - 1. What is q*a(d) - 3*x(d)? -d**2 - d - 1 Let p(m) = -m**3 + 15*m**2 + 2*m - 28. Let k be p(15). Let w(z) = -1. Let l(x) = -6*x - 1. Give k*w(r) - l(r). 6*r - 1 Let t(i) = -i**3 - 9*i. Let y(h) = 6*h**3 - 176*h**2 + 72*h + 2. What is -8*t(n) - y(n)? 2*n**3 + 176*n**2 - 2 Let z(h) = -8*h**2. Let t(q) = 6*q**2 + 1. Calculate -5*t(i) - 4*z(i). 2*i**2 - 5 Let t(q) = -q**3. Let d(v) = 10*v**3 + v**2 + v + 3. What is -2*d(a) - 18*t(a)? -2*a**3 - 2*a**2 - 2*a - 6 Let q(n) = -2*n**3 + n**2 + 4*n + 6. Let x = -253 + 260. Let k(l) = -4*l**3 + 2*l**2 + 7*l + 11. Give x*q(t) - 4*k(t). 2*t**3 - t**2 - 2 Let l(j) = 8*j**3 - 17*j**2 - 3*j - 7. Let r(w) = 4*w**3 - 8*w**2 - w - 3. What is -2*l(h) + 5*r(h)? 4*h**3 - 6*h**2 + h - 1 Let m(j) = -108*j - 1. Let l(p) = -106*p - 1. Determine 5*l(k) - 4*m(k). -98*k - 1 Let h(r) = -5*r**3 - 3*r - 3. Let q(x) = -24*x**3 - 14*x - 14. Suppose -36*a - 54 = -18*a. Determine a*q(m) + 14*h(m). 2*m**3 Let b(r) = -2*r**3 - 9*r**2 - 13*r. Let s(t) = t**3 + 4*t**2 + 6*t. Let w be 1287/117 - (1 - -1). What is w*s(f) + 4*b(f)? f**3 + 2*f Let i be 32/48 + (0 - (-16)/(-6)). Let x(b) = -2*b**3 + 7*b + 3. Let s(p) = -10*p**3 + 36*p + 16. What is i*s(g) + 11*x(g)? -2*g**3 + 5*g + 1 Let g(z) = -2*z**2 + 2*z + 1. Let v(i) = -9*i**2 - 4*i - 4. Determine g(h) + v(h). -11*h**2 - 2*h - 3 Let w(x) = 2*x**3 + 29*x**2 + 18*x - 11. Let g(q) = 2*q**
{ "pile_set_name": "DM Mathematics" }
factor of 10 and d. 10 Suppose -t = y - 5, -27 = -3*y + 5*t + 4. Suppose -3*a - l + 21 = 0, -a + 3*l = -2*l - y. What is the highest common factor of 77 and a? 7 Suppose -5*m = -5*f - 10, -m + 1 = -3. Suppose -13*g + 20*g - 98 = 0. Calculate the greatest common divisor of g and f. 2 Let g(i) = 30*i**2 - 2*i - 2. Let s be g(-1). What is the greatest common divisor of 1080 and s? 30 Let k be 1*2*378/12. Let b = 20 - 11. Calculate the greatest common divisor of k and b. 9 Suppose 5*z = -227 + 4852. What is the highest common divisor of 74 and z? 37 Let a = -61 + 96. Suppose -2*v + 4 = 2*z - 42, -3*z = -v + a. What is the highest common divisor of 26 and v? 26 Suppose -4*r = 10*r - 196. Calculate the highest common factor of 126 and r. 14 Let i = 1642 + -1594. What is the highest common factor of 400 and i? 16 Let l = -24 - -170. Suppose -1210 = -k - 4*k. Let b = k - l. Calculate the highest common factor of 64 and b. 32 Suppose 0 = -4*o - u + 135, -2*o + 29*u - 25*u = -54. Calculate the greatest common divisor of 88 and o. 11 Suppose 11*q + 66 = 13*q. Suppose q = 2*r - 0*g - 5*g, 0 = -5*r - 5*g + 135. Calculate the greatest common factor of 12 and r. 12 Let d be 18/(-4)*(-20)/(-30). Let i be 1/((7 + d)/8). Suppose -2*t + 30 = t. Calculate the highest common divisor of t and i. 2 Let f = -6 + 13. Suppose 756 = f*v - 0*v. Calculate the highest common factor of 24 and v. 12 Suppose 0 = -16*l + 15*l + 5. Suppose f - 230 = -4*f + v, -5*v + 200 = l*f. What is the highest common factor of 5 and f? 5 Let z = -18 + 20. Suppose -z = -3*o + 10. Suppose -3*m - 116 = -4*m + 5*i, -o*m - 3*i = -556. Calculate the highest common divisor of 17 and m. 17 Let o(a) = -a - 3. Let b be o(-10). Let n be 52/12 + 2/(-6). Suppose -t + 170 = 2*t - r, n*t - 230 = 3*r. What is the highest common divisor of b and t? 7 Suppose -5*q - 10 = -35. Let b be ((-6)/5)/((-1)/q). Let y = 39 - 9. Calculate the highest common factor of y and b. 6 Suppose 0 = 10*f - 370 - 380. What is the greatest common divisor of 18 and f? 3 Let u = -10 - -28. Let w = -12 - -21. Calculate the greatest common divisor of u and w. 9 Suppose 9 = -a + 4*a. Let y be (-6)/(10/(-2) - -2). Suppose -3*u = -a*x - 24, -2*u + 5*x + 33 = y*u. What is the greatest common factor of 56 and u? 7 Suppose 3*q = 9*q - 60. Suppose 4*x - 30 = q. What is the highest common factor of x and 90? 10 Let q = -664 - -1091. Calculate the greatest common factor of 7 and q. 7 Let k(l) = 10*l**2 - 6. Let y be (-3*(0 + -1))/(-8 + 7). Let n be k(y). Calculate the highest common divisor of n and 21. 21 Let k(a) = -2*a + 4. Suppose -c - 5 = -7. Let s be k(c). Suppose -5*t + s*t = -180. Calculate the greatest common divisor of 9 and t. 9 Let x(d) = -d**2 + 16*d + 19. Let k be (6 + -3)*2/6 + 16. Let g be x(k). Calculate the greatest common divisor of 3 and g. 1 Suppose -3 - 8 = -n. Let j = -11 + n. Suppose 2*h = -3*h - 3*o + 309, 5*h + o - 313 = j. What is the greatest common divisor of h and 9? 9 Let q = -1 + 32. Suppose 2*m = -2*u + 312, -3*m + 124 + 338 = -3*u. Calculate the highest common divisor of q and m. 31 Suppose y - 2*b = 10, -3*y - 5*b - 6 = 19. Suppose -6*m + m = y. Suppose p + 4*t = 64, m*p = p + 2*t - 74. What is the greatest common factor of p and 12? 12 Let n(d) = -5*d - 5*d + 1 + 5*d + 70*d**2 + 25*d**2. Let k be n(2). Calculate the greatest common divisor of 53 and k. 53 Let i = -69 + 70. Let d = -6 + 0. Let r be -1 - (d - 4/(-2)). What is the highest common divisor of i and r? 1 Suppose -14*u - 991 = -4211. What is the greatest common factor of 20 and u? 10 Let c(j) = -j**3 + 14*j**2 + j + 31. Let d be c(14). Calculate the greatest common factor of 50 and d. 5 Suppose -l + 25 = 28, 3*g - 141 = -l. What is the greatest common divisor of 1104 and g? 48 Let p(b) be the first derivative of 2*b**4 - 3*b**2/2 + 3*b - 1. Let l be p(3). Calculate the highest common factor of l and 30. 30 Let x = -1097 - -1100. What is the greatest common divisor of 2 and x? 1 Let g = -19 + 23. Suppose 185 = g*a - 79. What is the greatest common factor of 44 and a? 22 Let y = -81 - -156. Let c be ((-4)/(-5))/(15/y). What is the highest common factor of c and 44? 4 Let g(y) = 24*y + 294. Let u be g(-7). Calculate the greatest common factor of u and 112. 14 Suppose 6*k - 1848 = -1224. Calculate the highest common divisor of 1040 and k. 104 Let b(g) = -2*g**2 - 6*g. Let j be b(-3). Suppose 5*r - 3*s = -j*s + 332, -2*r = -5*s - 148. What is the highest common factor of r and 16? 16 Let q(y) = 3*y - 7 - 2*y**2 + y**2 + 7*y + 2*y**2. Let d be q(6). Let z = -57 + d. Calculate the greatest common divisor of z and 4. 4 Let w(j) = -j**3 - 11*j**2 - 2. Let n be w(-11). Let g be 18/(n + (-5)/(-2)). Calculate the greatest common divisor of 396 and g. 36 Suppose 60 = 132*z - 127*z. Suppose 0 = 3*q - 59 + 11. Calculate the greatest common factor of z and q. 4 Let z(f) = -3*f**3 - 21*f**2 + 3*f + 22. Let l be z(-7). Calculate the highest common factor of 84 and l. 1 Let q be ((-18)/(-5))/(44/2200). What is the highest common factor of q and 420? 60 Let y = -99 - -103. Let r(c) = -3*c. Let i be r(-1). Suppose 2*z = i*x + 23, -3*z + 21 = -y*x - 11. What is the greatest common divisor of 32 and z? 4 Let w be (-2)/4 + 32953/62. What is the greatest common divisor of 9 and w? 9 Let h = -1633 - -2296. What is the greatest common factor of h and 39? 39 Let b(o) = -2*o**2 - 14*o + 24. Let u be b(-7). Let a be 0 + u/(-4) + 4 + 6. Calculate the greatest common divisor of a and 12. 4 Let j = 7 + 147. Let w = j - 91. Suppose w = 5*s - 17. What is the greatest common factor of 4 and s? 4 Suppose -3*k = -0*b - b + 17, 15 = -3*k. Suppose -b*x + 3*x + 74 = 3*a, -a + 18 = -2*x. Suppose o + 52 = 3*o. What is the greatest common divisor of a and o? 26 Let b be (-3 - 7/(-5))*-5. Suppose 2*x = b + 4. Calculate the greatest common divisor of 12 and x. 6 Let s = 39 - 28. Let p be 22 + -2 + -4 + -5. Calculate the highest common divisor of s and p. 11 Suppose 3060 = 9*c + 25*c. What is the greatest common divisor of 20 and c? 10 Let n = -763 + 1204. What is the highest common divisor of 63 and n? 63 Suppose -9*w - 134 = -2*t - 5*w, 5*w = 4*t - 256. Calculate the highest common factor of 944 and t. 59 Suppose -a + 67 = 3*g + 25, 2*g = 2*a + 12. Let z(m) = 7*m**2 + m - 2. Let n be z(-2). What is the greatest common divisor of g and n? 12 Suppose -2*o - 4*j - 5 = j, 0 = 3*o + j - 25. Let i be (-14)/7 + 2 + 4/(-2). Let a be (-8)/3*((5 - i) + -22). Calculate the highest common factor of a and o. 10 Suppose -54 = -2*z - z. Suppose -u - 2*m = -3*u - 22, 5*u + 90 = -2*m. Let r be -4 - (-1 - (-4 - u)). Calculate the highest common factor of z and r. 9 Suppose 0 = 3*n + 4*l - 67, -6*n + 2*n + 52 = -4*l. Suppose 2*a + 2*g = 108, -5*g - 231 = -2*a - 144. Calculate the greatest common factor of n and a. 17 Suppose 4*i + 7 + 17 = 0. Let r be 2/i + (-419)/3. Let j be 5/(r/48 - -3). Calculate the greatest common divisor of j and 24. 12 Suppose -5*w + 204 + 16 = 0. Let x(a) = -a**2 - 8*a + 10. Let k be x(-9). Let d = 3 + k. What is the greatest common divisor of d and w? 4 Let r(q) = 5*q - 2. Let o = 9 + -12. Let x be o - (-3 - 0) - -2. Let l be r(x). Calculate the greatest common factor of 64 and l. 8 Let t be (-72)/(-30) + (-6)/(-10). Suppose -4*x = -t*x - 5. Suppose -x*n = -3*n - 8. Calculate the greatest common divisor of n and 20. 4 Suppose -87*v + 76*v = -132. Let p be 22/(1/6*1). Calculate the greatest common factor of p and v. 12 Let g(o) = -116*o - 7. Let t be g(-2). Suppose 0*x + 2*x = 50. What is the highest common divisor of x and t? 25 Suppose 18*h - 1057 - 113 = 0. Calculate the greatest common factor of h and 845. 65 Suppose 3*d + f = 1150, -6*d + 1148 = -3*d + 2*f. Calculate the greatest common divisor of d and 12. 12 Let s(w) = 4*w**2 - 7*w + 1. Let p be s(3). Let a be (4868/32 - -1) + (-2)/p. Let c = -39 - -56. Calculate the highest common divisor of c and a. 17 Let j be 5/(-20) - (135/54)/((-4)/202). Suppose 26 = g - 3*p, 13 = 2*g - 3*p - 27. What is the greatest common divisor of g and j? 14 Suppose -5643 = -14*c + 27. Calculate the greatest common divisor of 60 and c. 15 Let s be (-256)/(-26) + (-3)/(117/(-6)). What is the highest common divisor of s and 230? 10 Let j(k) = 32*k +
{ "pile_set_name": "DM Mathematics" }
of 14*r**2 - 1/3*r**3 + 0*r - 34 + 29/4*r**4. Find the third derivative of l(b) wrt b. 174 Let m = 73 + -139/2. Let b(q) be the first derivative of 0*q**5 + 5/6*q**6 + 0*q + 6 + 0*q**4 - m*q**2 + 0*q**3. What is the second derivative of b(u) wrt u? 100*u**3 Let r(v) = -21*v**5 + 5*v**3 + 20*v**2 - 3*v. Let k(u) = u**3 - u**2. Let d(j) = 2*k(j) - r(j). What is the third derivative of d(t) wrt t? 1260*t**2 - 18 Let p(m) be the first derivative of -m**3 + 0*m + 2 + 11/2*m**2. What is the second derivative of p(o) wrt o? -6 Differentiate -1142*t**4 + 17 + 0 + 1136*t**4 + 18 + 2*t with respect to t. -24*t**3 + 2 Let i(t) = 142*t**2 + 2*t - 118. Let c(k) = 288*k**2 + 5*k - 237. Let l(d) = 2*c(d) - 5*i(d). What is the first derivative of l(r) wrt r? -268*r Let w(o) = 11*o**2 - o**2 - 23*o**3 + o + 3*o + 0*o. Let r(u) = 22*u**3 - 10*u**2 - 3*u. Let x(z) = 4*r(z) + 3*w(z). What is the third derivative of x(h) wrt h? 114 Differentiate 258*c**3 + 204*c**3 - 377*c**3 + 2*c**2 + 3 - 392 wrt c. 255*c**2 + 4*c Let w(r) be the first derivative of r**8/8 - r**4/12 + 7*r - 39. Let f(k) be the first derivative of w(k). What is the third derivative of f(p) wrt p? 840*p**3 Suppose 4*m = 36 + 8. Find the second derivative of 19*x - 11 + 0 + m - 26*x**5 wrt x. -520*x**3 Let o(s) = -1632*s - 807. Let j(p) = 815*p + 402. Let a(i) = -9*j(i) - 4*o(i). Find the first derivative of a(u) wrt u. -807 Suppose 11*t + 528 = 528. Let x(r) be the second derivative of 0*r**3 + t - 2/3*r**4 + 5*r + 1/2*r**2. What is the first derivative of x(m) wrt m? -16*m Find the third derivative of -43*d**6 + 4*d**2 - 3*d**5 + 11*d**6 - 5*d**3 + 4 + 9*d**6 + 3*d**5 wrt d. -2760*d**3 - 30 Let m(z) be the third derivative of -11*z**7/105 - z**5/60 + 46*z**3/3 + 2*z**2 - 15*z. What is the derivative of m(c) wrt c? -88*c**3 - 2*c Let q(v) be the first derivative of -v**8/56 - v**4/2 - 3*v + 1. Let t(b) be the first derivative of q(b). Find the third derivative of t(i) wrt i. -120*i**3 Let p(c) = 222*c**3 + 34*c**2 + 2. Let u(w) = 221*w**3 + 33*w**2 - w + 3. Let a(d) = 3*p(d) - 2*u(d). Find the third derivative of a(k) wrt k. 1344 Let s(a) be the third derivative of 263*a**7/105 + 59*a**5/12 - 159*a**2. What is the third derivative of s(x) wrt x? 12624*x Let g(b) = -b + 16. Let i be g(-3). Differentiate 82*y**3 + 75*y**3 - 148*y**3 - i wrt y. 27*y**2 Let u(a) be the third derivative of 0*a + 0 + 3/8*a**4 - 5/6*a**3 + 13*a**2. Differentiate u(p) wrt p. 9 Differentiate -278*i + 612*i - 73*i - 116 - 50*i with respect to i. 211 Differentiate -m**3 - 146 + 392 + 3*m**3 + 2*m**4 - 2*m**3 - 6*m wrt m. 8*m**3 - 6 Suppose 3*q + 2*i - 1 = 4*q, 3*q + 5*i = -14. Let a be 0 + q/(-1 - 0). What is the first derivative of 0*r**a - 10 + r**3 + 3 - 6*r**3 wrt r? -15*r**2 Let y(h) be the third derivative of 0*h + 0*h**7 - 7/60*h**5 + 0 + 12*h**2 + 0*h**4 + 0*h**3 + 0*h**6 - 1/56*h**8. Find the third derivative of y(b) wrt b. -360*b**2 Let r(h) be the first derivative of -31/4*h**4 - 30 + 0*h**2 + 8/3*h**3 + 0*h. What is the third derivative of r(g) wrt g? -186 Let x(z) = 6*z**2 - z. Let s be x(1). Let b = 74 - 72. Find the second derivative of 3*j**b - 51 + 51 - 12*j - s*j**2 wrt j. -4 Suppose 2*h = h + 5. Suppose -7 = -3*j + h. What is the third derivative of -4*b**5 + 4*b**j + b**2 - 4*b**4 wrt b? -240*b**2 Suppose 2 = -3*j + 11. Suppose 0 = -j*p + 5 + 1. Find the third derivative of b**p + 3*b**5 - 3*b + 10*b - 7*b wrt b. 180*b**2 Suppose 10*j = 9*j + 18. Find the second derivative of -j*k**5 - 9*k - 8*k - 3*k**5 + 6*k**5 wrt k. -300*k**3 Let r(k) be the third derivative of -11*k**8/42 + 215*k**4/24 + k**3/6 - 254*k**2. What is the second derivative of r(y) wrt y? -1760*y**3 What is the derivative of -38*u + 14*u - 3*u - 14*u - 15 wrt u? -41 Let q(v) be the second derivative of 16*v**4/3 + v**3/3 - 100*v**2 + 196*v. What is the first derivative of q(z) wrt z? 128*z + 2 Let q(d) be the second derivative of 0*d**2 + 5/3*d**3 - 32*d + 0*d**4 + 0 - 13/42*d**7 + 0*d**6 + 0*d**5. What is the second derivative of q(y) wrt y? -260*y**3 Suppose 0*f = -f + 8. What is the second derivative of -3 + f*t - 6*t**4 + 6*t + 3 wrt t? -72*t**2 Let n be 1 + 13 + -5 + 0/1. Find the third derivative of -13*f**2 - 2*f**4 - n*f**2 - 5*f**2 wrt f. -48*f Suppose 2*y + 4*i - 6 = 0, 0*y - 12 = -4*y - 5*i. Let p be (-1)/(4/(-52) - 0). Find the third derivative of 14*c**2 + 11*c**2 - p*c**2 + 8*c**y wrt c. 48 Let h(y) be the first derivative of 11*y**5/5 + 4*y**3/3 + 79*y + 118. Differentiate h(d) with respect to d. 44*d**3 + 8*d Find the third derivative of 484*g**3 - 192*g**2 + 191*g**2 - 153 + 415 wrt g. 2904 Let n(d) = -d**3 + d. Let x(f) = f**3 + 2*f + 4. Suppose -5*v = -5 - 5. Let o = v - 4. Let i(t) = o*n(t) + x(t). What is the derivative of i(u) wrt u? 9*u**2 Let y be 1/4*(0 - 0). Let f(v) be the second derivative of 0*v**4 - 2/3*v**3 + 0 + y*v**2 - 1/20*v**5 - v. What is the second derivative of f(a) wrt a? -6*a Let y(h) = -2*h**3 + h**2 + h - 1. Let p(r) = -137*r**3 - 106*r**2 + 4*r - 5. Let k(u) = -p(u) + 5*y(u). Find the third derivative of k(j) wrt j. 762 Let i(g) be the second derivative of 27*g**5/20 - 51*g**2/2 - 4*g + 2. Differentiate i(t) with respect to t. 81*t**2 Suppose -2*c = 3*k - 11, 3 = c + k - 2. Suppose 22 = g + c*i, -5*i + 6 = g - 20. Find the second derivative of 7 - 1 - g + 2*f + 3*f**2 wrt f. 6 What is the third derivative of -28*o**2 - 21*o**3 - 17 + 18 + 3*o**2 - 24*o**3 wrt o? -270 What is the first derivative of -11553*i + 11134*i - 768 + 257 wrt i? -419 Let t(g) be the third derivative of -11*g**8/84 + 4*g**5/5 + 28*g**2. Find the third derivative of t(a) wrt a. -2640*a**2 Let x(i) be the second derivative of -27*i**8/14 + 19*i**4 + 66*i. What is the third derivative of x(j) wrt j? -12960*j**3 Find the first derivative of -24*u + 7*u - 56*u**2 + 9*u - 35 - u**3 + 8*u wrt u. -3*u**2 - 112*u What is the second derivative of -2*p**2 + 1422 + 7*p + 10*p - 1424 - 18*p**4 - 25*p**4 wrt p? -516*p**2 - 4 Let h(f) be the third derivative of 121*f**6/40 - 17*f**5/20 - 14*f**2 + 2*f. What is the third derivative of h(q) wrt q? 2178 Let n(b) be the second derivative of -b**7/42 + 17*b**6/5 + 293*b**3/6 + 2*b + 51. Find the second derivative of n(g) wrt g. -20*g**3 + 1224*g**2 Let w(h) = 2*h + 5. Let q be w(0). What is the second derivative of 3*l**q - l + l + 10*l - 5*l**5 wrt l? -40*l**3 Suppose -a = p - 2, -4*a - 5*p + 5 + 1 = 0. Find the third derivative of 34*u**2 + 3*u**4 - 22*u**4 - 19*u**a + 9*u**4 wrt u. -696*u Let a(b) be the first derivative of -13*b**6/30 - 13*b**4/12 + 15*b + 3. Let l(t) be the first derivative of a(t). What is the third derivative of l(z) wrt z? -312*z Let r(t) be the third derivative of 0*t**3 + 1/15*t**5 + 0*t**7 + 0*t - 15*t**2 - 5/168*t**8 + 0*t**6 + 0 + 0*t**4. What is the third derivative of r(f) wrt f? -600*f**2 Let w(n) = -n**3 + 11*n**2 - 18*n + 5. Let f be w(9). Find the second derivative of 0*k**3 - 8*k**3 - f*k**3 - 24*k + k**3 wrt k. -72*k Suppose -3 = 3*o, g = -o - 0*o + 3. Suppose u - 3 = g. Differentiate 6 - 3 - 6*a**2 - u + 5 with respect to a. -12*a Let w = -644 + 1933/3. Let p(f) be the second derivative of 0 + w*f**3 - 6*f + 3*f**2. Differentiate p(v) wrt v. 2 Find the second derivative of -26*s - 940 + 938 - 18*s - 95*s**2 wrt s. -190 Suppose -2*m - 10 = 10. Let t(j) = -j**2 - 12*j - 15. Let d be t(m). What is the second derivative of -6*w**5 - w + 3*w**5 + 4*w**5 + d*w**5 wrt w? 120*w**3 Let g(c) = -35*c**2 - 7*c - 9. Let t(y) = 33*y**2 + 8*y + 9. Let j(i) = 6*g(i) + 5*t(i). What is the second derivative of j(l) wrt l? -90 Let s be 3*(-1 - 0) + 5. Let b be (2 - (s + 3)) + 15. What is the second derivative of -b*v**5 - 9*v + 6*v**5 + 7*v**5 wrt v? 20*v**3 Let i(w) be the second derivative of -2*w**6/15 + 37*w**5/10 + 15*w**3/2 + w**2 + 8*w - 5. Find the second derivative of i(j) wrt j. -48*j**2 + 444*j Let f be 124/10 + -1 + (-162)/(-270). What is the second derivative of -2*x + 234*x**3 - 4*x - 234*x**3 + x**4 + f*x**2 wrt x? 12*x**2 + 24 Suppose 4*u - 7 = 17. Suppose 0 = b + b - u. Differentiate -m + b*m + 3*m - 2 - 1 with respect to m. 5 Suppose 20 = z + 20. Find the first derivative of 4*i + 5 - 2*i + z + 5*i wrt i. 7 What is the derivative of -42 + 2*f**2 + 2*
{ "pile_set_name": "DM Mathematics" }
3) Simplify ((p**(-2)/p*p)/p)**(-50)/(((p/p**(-1/13))/p*p)/(p**(-2)/p)) assuming p is positive. p**(1897/13) Simplify f**17/(f*f**(-4/15)/f)*(f/(f/((f/((((f*f**(-14))/f*f*f)/f)/f))/f*f))*f)/(f**(-6)*f) assuming f is positive. f**(574/15) Simplify ((d**10)**(-48))**(-1/10) assuming d is positive. d**48 Simplify (w**(2/13))**(-45)*w**(-2/9)*w**(3/13) assuming w is positive. w**(-809/117) Simplify ((v**(2/7))**(-39)*v**(7/3)*v**(-2/7)/v*v)**(2/5) assuming v is positive. v**(-382/105) Simplify (y**(-3)*y*y)**(-30)/(y*y**(1/20)*y*y*y/(y**(-1/11)*y)) assuming y is positive. y**(5909/220) Simplify ((n**(-3))**(-23)/(n/n**(1/7))**(-47))**17 assuming n is positive. n**(13005/7) Simplify (c**(-9)/c)**(6/19)*c**(2/85)/(c/((c/(c/c**(5/7)))/c*c)) assuming c is positive. c**(-38664/11305) Simplify (r**(-13)/(r**(-3)*r))/(r**(-8)/r*r*r**(9/4)) assuming r is positive. r**(-21/4) Simplify (y**19/(y/(y*y**5*y*y)))/((y/y**(-2/9)*y)/(y*y**(-9/4))) assuming y is positive. y**(811/36) Simplify (s/s**0*s*s/s**11)/((s*s**(-5)*s)/(s**(-12)/s)) assuming s is positive. s**(-18) Simplify (i**(2/11)/i)**29*i*i*i*i/i**1*i*i**(-2)*i assuming i is positive. i**(-228/11) Simplify i**(-9/2)*i/i**12*(i*i**(-2/3))**(-19/5) assuming i is positive. i**(-503/30) Simplify (y**(2/9))**37/((y/y**(-3/11))/(y/(y*y**(-2/19)))) assuming y is positive. y**(13270/1881) Simplify ((g/((((g/(g/(g/(g/(g**3/g)))))/g)/g)/g)*g)/g)**(23/5)/(g*g**8*g/(g**(-1/21)*g)) assuming g is positive. g**(16/105) Simplify (t*t*t**12)**36/(t**(-7))**(41/4) assuming t is positive. t**(2303/4) Simplify ((l**(-7)*l*l)/l*l*l*l*l**(-13)*l)/(l**(-2/7)*l*l**(-9)) assuming l is positive. l**(-47/7) Simplify (t*t**(-5/3)*t)**(-22/5)/(t**(1/39)/(t/t**(-2/39)*t*t)) assuming t is positive. t**(304/195) Simplify ((g/(g**5*g))/((g*g*g**6/g)/g)*((g*(g/(g*g/(g/(g/g**(-1/2))*g)*g)*g*g)/g*g*g)/g)**21)**46 assuming g is positive. g**943 Simplify ((f*f*f/f**7*f*f)/f*f)**(-16)*(f*f**(-4/5)*f)**(8/7) assuming f is positive. f**(1168/35) Simplify ((((a*a/a**(-2))/a)/a*a)**(4/5)*a**(-1)*a/(a/(a**5*a)*a*a))**4 assuming a is positive. a**(108/5) Simplify ((f**(-3/4)*f*f**(2/21))/(((f*f**3*f)/f)/(f**(-9)/f*f)))**(-41) assuming f is positive. f**(43583/84) Simplify (((v*v**(4/3))/v**(-1))/((v/(v/((v*v*((v*(v/(v**(2/9)/v)*v)/v)/v*v)/v)/v*v)))/v)**(24/13))**(-1/69) assuming v is positive. v**(70/2691) Simplify k**(-6)*(k/(k/(k*k**(-1/6))*k))/k*k**(1/5)*k**9/k assuming k is positive. k**(31/30) Simplify (((b/(b**3*b*b*b*b))/b)/(b/(b/b**(-13))*b)*b**(-1/7)/(b/(b/(b**5*b))))**(-27/7) assuming b is positive. b**(216/49) Simplify (((z**(-1))**13)**(27/2))**(-46) assuming z is positive. z**8073 Simplify (d/(d/(d**3/d)))**0/(d*d**(-1/6)*d*(d/(d*((d/((d*d**(2/19)/d)/d))/d)/d*d))/d*d*d) assuming d is positive. d**(-221/114) Simplify ((i**1*i*i)**(10/9)/(((i/(i*i**(-4/9)))/i)/(i/i**(-1/5))))**(2/33) assuming i is positive. i**(458/1485) Simplify (u*u*u*u**(-21/4)*u*u*u**(-13))**(-2/23) assuming u is positive. u**(53/46) Simplify (g*g**8)**(-16)*(g/g**(6/5))**37 assuming g is positive. g**(-757/5) Simplify (b**(-3/11))**(-1)*b**(-20)*(b**(-2/79)/b)/b*b assuming b is positive. b**(-18034/869) Simplify (((k/(k/(k*k**0*k*k*k)))**50)**(2/45))**(-18) assuming k is positive. k**(-160) Simplify ((c*c**(-5/3))/c*c**(-4/7)/c)/(c**(-1/3))**(-35) assuming c is positive. c**(-313/21) Simplify (((i*i/(i/i**9))/((i/(i*i/(i*i*i**(-3/11)))*i)/i))/((i**(-1/5)/i)/i**(-10)))**13 assuming i is positive. i**(338/55) Simplify (a**13/(a/(a/((a*a**(-7)*a)/a))))**(1/2) assuming a is positive. a**(19/2) Simplify (t**(1/5)/t**(2/31))/(t/(t/t**(-36)*t*t)*t**(9/2)*t) assuming t is positive. t**(10117/310) Simplify (p**(-7/5)*p*p**(2/9))/(p*p*p**(1/19)*(p*p**5)/p) assuming p is positive. p**(-6182/855) Simplify ((f*(f/((f**(2/17)/f)/f))/f)/f)**(2/37)*(f**5)**(-27) assuming f is positive. f**(-84851/629) Simplify (y**3/y*((y/(y*(y/y**12)/y*y*y*y))/y)/y)/(y**(-4))**45 assuming y is positive. y**189 Simplify (h*h/(h/h**16))**11/(h/h**9*h*h*h)**(-44) assuming h is positive. h**(-33) Simplify f**8*f*f*f**14*f*f**(-15)*f/(f/f**(7/5))*f assuming f is positive. f**(62/5) Simplify ((k**8)**(-4/15))**(1/4) assuming k is positive. k**(-8/15) Simplify ((j**(-21)*j*j**30*j)**(15/4))**15 assuming j is positive. j**(2475/4) Simplify (h/(h/h**(-3)))**(-22)/(h*h**(2/3)/h)**(2/9) assuming h is positive. h**(1778/27) Simplify (o*o**(1/10)*(o**(1/8)*o*o*o*o)/o)**(3/22) assuming o is positive. o**(507/880) Simplify ((s/s**(-1/5))/(s/(s*s**(-7/5))))/((s**(5/8)*s*s)/s**(-14/5)) assuming s is positive. s**(-45/8) Simplify (i/(i*i/(i**(-24)/i)*i)*i*i**9)/(((i**3*i)/i)/i)**16 assuming i is positive. i**(-49) Simplify ((y*y**(-2/7))**(-2/133)*y**7/(y*y*y/(y/y**(2/5))*y))**7 assuming y is positive. y**(16708/665) Simplify (v**(-2)*v**(-4/9))/(v**(-2/15)*v/(v**(-12)/v)) assuming v is positive. v**(-734/45) Simplify (k**10/(k**(-3/4)*k))/(k**9/((k/(k/k**11))/k*k)) assuming k is positive. k**(47/4) Simplify (g**(-3)/g)**(-18)/(g**(-3)/g*(g*g/(g*g*(g*g**(2/33)*g)/g))/g) assuming g is positive. g**(2576/33) Simplify f**(-2)/(f/f**(-36/5))*(f/(f*f*f**13*f)*f)**(-12/7) assuming f is positive. f**(69/5) Simplify q**(-3)*q**(-1/16)/q*(q/q**(-2)*q)/q**(-13) assuming q is positive. q**(207/16) Simplify ((s/s**(-2/25)*s*s)/(s**(-25)/s))**32 assuming s is positive. s**(23264/25) Simplify g**18*g**(-7)/g*(g**(-2))**(-1/5) assuming g is positive. g**(52/5) Simplify ((v*v*(v/(v/(v*v/(v/v**(-2/17))))*v)/v)/v**(-5)*v*v**(1/5)*v*v*v*v**8)**(2/9) assuming v is positive. v**(1138/255) Simplify ((h**28*h)**(-1/4))**12 assuming h is positive. h**(-87) Simplify (j*j*j**5*j*j**(-2/7))/(j*j**16*j*j*j/j**14*j) assuming j is positive. j**(5/7) Simplify (s*s**(-3/4)*s/(s*s**(1/17)))/(s**(-36)/(s/(s*s/(s*s**30)))) assuming s is positive. s**(4501/68) Simplify m*((m*m/m**(18/5))/m)/m*m**5*(m**(1/2))**(-2/23) assuming m is positive. m**(271/115) Simplify (r**7)**(1/16)*(r**(16/7)/r)/(r*r*r**7) assuming r is positive. r**(-815/112) Simplify (t/t**(-1/3))/t**(3/10)*(t**(1/4))**(2/13) assuming t is positive. t**(209/195) Simplify (d**(1/6)/(d*d**3))**32 assuming d is positive. d**(-368/3) Simplify i**8/i**7*i**(-1/2)*i**8 assuming i is positive. i**(17/2) Simplify ((v*v**(2/7)*v*v**(-2/21)*v)**(1/55))**11 assuming v is positive. v**(67/105) Simplify (r**(-23)*r/r**(9/2))/((r/(r**(-14)*r))/(r**(-16)*r)) assuming r is positive. r**(-111/2) Simplify ((f/f**(-17))/(f/f**(-27)))**(5/4) assuming f is positive. f**(-25/2) Simplify (g**2)**(3/20)*(g/(g**(-7)/g))/g*g*g**(-4)*g assuming g is positive. g**(63/10) Simplify (((v/v**(-2/3))**(2/11))**19)**(10/17) assuming v is positive. v**(1900/561) Simplify (x/(x/(((x*x/x**(6/11))/x*x)/x*x)*x))**(-20)/(x**(-9)/x**(-14)) assuming x is positive. x**(-155/11) Simplify (o*o**(-4))**36*o**(9/5)/(o/o**(-22)) assuming o is positive. o**(-646/5) Simplify i**22*i*i*i**(-28)*i*i*(i*(i/(i*(i*i*i*i*i**(7/5)*i)/i))/i)**(-39) assuming i is positive. i**(1043/5) Simplify (q**10*q**(-3/13))/(q**14/(q*q/(q**(-6)/q))) assuming q is positive. q**(62/13) Simplify ((i*i*i/i**(-2/7))**(-2/17)/((i**3*i*i)/i**0))**(-1/34) assuming i is positive. i**(641/4046) Simplify (w/(w*w*w**(-2/77))*w*w**(-1/2))**50 assuming w is positive. w**(-1825/77) Simplify (((m/(m*m*m*m**8*m*m))/m)**21)**(-13) assuming m is positive. m**3549 Simplify (w**(2/7)/(w*w/w**(-12)*w*w))/(w/(w**(2/7)/w)*w)**(3/4) assuming w is positive. w**(-71/4) Simplify (f*f/(f/(f/(((f**13*f*f)/f)/f)*f)))/(f/(f/f**(-9/5))*f)*f**13/f**6 assuming f is positive. f**(-11/5) Simplify (l**(10/9)/l)**(3/7)*(l/(l/(l/(l/l**2))))/l**13 assuming l is positive. l**(-230/21) Simplify ((o/(o*o**(-26)))/(o*o**(3/8)*o))/(o/(o*o/(o*o**(8/5)*o*o))*o)**(-16) assuming o is positive. o**(3889/40) Simplify (b/b**7*b/b**8*b*(((b*b**12*b)/b)/b)/b**(1/5))**(1/25) assuming b is positive. b**(-1/125) Simplify (((j**0)**(-1/35))**45)**(33/7) assuming j is positive. 1 Simplify (k**(-3)*(k*k**(1/11))/k)/(k/(k/(k**2/k))*k/k**(-5)) assuming k is positive. k**(-109/11) Simplify ((s/s**3)/s*s*(s**1/s)/s*s*s)/(s**2/(s/((s*s/((s**(-8)*s*s)/s))/s))) assuming s is positive. s**(-10) Simplify m/(m**(2/27)/m)*m**(-9)*(m*m**(-1))**(20/7) assuming m is positive. m**(-191/27) Simplify (w**(-2))**(-1/20)*((w*w*
{ "pile_set_name": "DM Mathematics" }
nce hhhh when four letters picked without replacement from {h: 7}? 1 Calculate prob of sequence sohg when four letters picked without replacement from hghsogh. 1/140 Three letters picked without replacement from {d: 1, f: 1, n: 1, w: 2, j: 1, h: 2}. Give prob of sequence hnj. 1/168 Two letters picked without replacement from aaiiikaiahh. Give prob of sequence ah. 4/55 Calculate prob of sequence bl when two letters picked without replacement from {p: 1, y: 1, r: 2, j: 2, b: 4, l: 2}. 2/33 What is prob of sequence cm when two letters picked without replacement from bymnnncycy? 1/45 Two letters picked without replacement from {l: 2, o: 5, y: 2, p: 2, h: 9}. Give prob of sequence hl. 9/190 Two letters picked without replacement from rtpturnutintpuprrutn. Give prob of sequence ui. 1/95 Three letters picked without replacement from rnrnnrnnrrwrnrrwnmr. Give prob of sequence rrr. 28/323 Three letters picked without replacement from {v: 8, m: 2}. What is prob of sequence vvm? 7/45 What is prob of sequence vf when two letters picked without replacement from {b: 2, w: 1, f: 1, g: 1, v: 1, u: 1}? 1/42 What is prob of sequence ngu when three letters picked without replacement from {g: 3, n: 2, i: 9, u: 1, t: 3, d: 1}? 1/969 Two letters picked without replacement from {z: 2, a: 1, v: 1}. What is prob of sequence za? 1/6 Calculate prob of sequence yo when two letters picked without replacement from yyvaovoyyttyvyyyyso. 3/38 Three letters picked without replacement from epznnzr. What is prob of sequence nne? 1/105 What is prob of sequence znz when three letters picked without replacement from bbzbbgbnbzggz? 1/286 What is prob of sequence cxb when three letters picked without replacement from {d: 3, x: 1, c: 1, r: 2, b: 13}? 13/6840 What is prob of sequence ik when two letters picked without replacement from {k: 2, f: 1, g: 3, i: 6, p: 1}? 1/13 What is prob of sequence pp when two letters picked without replacement from pypyyppyppppsypypp? 55/153 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 9, k: 9}. 7/170 Four letters picked without replacement from ggggggqq. What is prob of sequence gqgq? 1/28 Four letters picked without replacement from {t: 4, i: 2, b: 10, s: 1}. What is prob of sequence ittt? 1/1190 Two letters picked without replacement from dng. Give prob of sequence dn. 1/6 Two letters picked without replacement from {t: 4, o: 2, r: 2, i: 2, x: 3}. What is prob of sequence rr? 1/78 What is prob of sequence nata when four letters picked without replacement from aananattaaaa? 28/1485 Two letters picked without replacement from goqzm. Give prob of sequence qz. 1/20 Two letters picked without replacement from {j: 1, y: 2, r: 2, e: 1, i: 1, g: 1}. What is prob of sequence ji? 1/56 Calculate prob of sequence wp when two letters picked without replacement from {f: 2, v: 2, q: 1, w: 2, y: 5, p: 2}. 2/91 Four letters picked without replacement from iijrijrrimiim. What is prob of sequence iijr? 3/286 Two letters picked without replacement from {c: 11, o: 2}. Give prob of sequence cc. 55/78 What is prob of sequence ego when three letters picked without replacement from yycyeoyyg? 1/504 What is prob of sequence ttjp when four letters picked without replacement from {i: 2, t: 11, p: 5, j: 1}? 275/46512 What is prob of sequence kmk when three letters picked without replacement from mmmmmmmkmmmmmmmmkmm? 1/171 Four letters picked without replacement from ieekkieikirkkiiriui. Give prob of sequence krre. 5/15504 Three letters picked without replacement from {a: 2, i: 7, u: 7, c: 1, m: 2}. What is prob of sequence aii? 14/969 Three letters picked without replacement from {h: 3, u: 1, v: 3, n: 1, d: 2, q: 1}. Give prob of sequence vnu. 1/330 Three letters picked without replacement from {z: 1, i: 1, d: 1, o: 1, b: 3}. Give prob of sequence boz. 1/70 Two letters picked without replacement from jomomoooooyoyssoywo. What is prob of sequence my? 1/57 Three letters picked without replacement from kkjkkvkjkbvykbkkffvb. What is prob of sequence fyv? 1/1140 Four letters picked without replacement from fcfc. Give prob of sequence cfcf. 1/6 Calculate prob of sequence hwwc when four letters picked without replacement from {w: 8, c: 1, h: 10}. 35/5814 Calculate prob of sequence vn when two letters picked without replacement from bbvbbbbvnbnv. 1/22 Two letters picked without replacement from {y: 9, v: 1, q: 4, z: 1}. What is prob of sequence yv? 3/70 What is prob of sequence ccee when four letters picked without replacement from eeeccecccccee? 21/286 Calculate prob of sequence kjww when four letters picked without replacement from {w: 3, k: 10, y: 1, j: 1}. 1/546 Calculate prob of sequence at when two letters picked without replacement from taatayxyta. 2/15 Two letters picked without replacement from qqqcquwwwlcuqowlqwwc. Give prob of sequence lu. 1/95 Three letters picked without replacement from bbjjkbbjvjjjbkjjjb. Give prob of sequence jjk. 1/34 What is prob of sequence tt when two letters picked without replacement from {f: 3, t: 3}? 1/5 What is prob of sequence rwrw when four letters picked without replacement from rwrwf? 1/30 What is prob of sequence yia when three letters picked without replacement from {c: 1, y: 1, h: 3, a: 3, t: 2, i: 1}? 1/330 Three letters picked without replacement from {q: 12, m: 3}. What is prob of sequence mmq? 12/455 Calculate prob of sequence up when two letters picked without replacement from yuypyuyuppyuypp. 2/21 What is prob of sequence ii when two letters picked without replacement from {h: 1, w: 1, i: 6, s: 1}? 5/12 What is prob of sequence hke when three letters picked without replacement from {k: 1, m: 2, h: 3, e: 1, u: 3}? 1/240 Three letters picked without replacement from hzzbbmbzmm. Give prob of sequence mmh. 1/120 Calculate prob of sequence tmt when three letters picked without replacement from mojettetottmmeot. 3/112 What is prob of sequence nyor when four letters picked without replacement from {y: 1, r: 1, w: 1, n: 1, o: 1}? 1/120 Two letters picked without replacement from {j: 1, r: 3, k: 1, s: 1, l: 1}. What is prob of sequence jl? 1/42 Four letters picked without replacement from wvwwwwvvwwwwwvvwww. What is prob of sequence wwvw? 143/1224 Calculate prob of sequence bbbb when four letters picked without replacement from wsbpsswsvwpbwwwbbw. 1/3060 Four letters picked without replacement from ernrerbtbttd. What is prob of sequence ereb? 1/990 Two letters picked without replacement from chfchfcdchchcffhccfc. Give prob of sequence ff. 1/19 Three letters picked without replacement from {i: 4, n: 8, l: 8}. Give prob of sequence nin. 28/855 What is prob of sequence sfec when four letters picked without replacement from effeeffewcsfzcfweeff? 4/4845 What is prob of sequence hb when two letters picked without replacement from {h: 1, j: 1, o: 7, d: 7, b: 1}? 1/272 Three letters picked without replacement from ctccct. What is prob of sequence ctt? 1/15 Calculate prob of sequence bhh when three letters picked without replacement from {h: 5, z: 1, b: 3, s: 1}. 1/12 What is prob of sequence wl when two letters picked without replacement from {l: 3, w: 6, q: 4}? 3/26 What is prob of sequence kk when two letters picked without replacement from kkkkwkkk? 3/4 Calculate prob of sequence ng when two letters picked without replacement from {a: 1, v: 1, n: 1, g: 1, j: 1}. 1/20 Two letters picked without replacement from dbmqqqdqmdqdqqqxq. What is prob of sequence bx? 1/272 Two letters picked without replacement from otcztciotczcct. What is prob of sequence tt? 6/91 Calculate prob of sequence zz when two letters picked without replacement from {z: 17, n: 3}. 68/95 Four letters picked without replacement from oddozooodwsoo. What is prob of sequence swdo? 7/5720 Three letters picked without replacement from ppggpppppp. Give prob of sequence gpg. 1/45 What is prob of sequence ettk when four letters picked without replacement from {k: 1, d: 3, e: 3, t: 3, v: 1, z: 2}? 3/2860 Calculate prob of sequence iae when three letters picked without replacement from ddeinenaddnnnead. 1/560 Two letters picked without replacement from {d: 2, j: 3, l: 1, y: 4}. Give prob of sequence ld. 1/45 Calculate prob of sequence taat when fo
{ "pile_set_name": "DM Mathematics" }
ulate the common denominator of 8/9 and -133/12396. 37188 Calculate the smallest common multiple of 49300 and 49300. 49300 Find the common denominator of -61/8 and -41/7594. 30376 Find the common denominator of 14/13 and -57/1355. 17615 Calculate the smallest common multiple of 30849 and 167466. 1172262 Calculate the smallest common multiple of 138648 and 8. 138648 What is the least common multiple of 2185 and 95? 2185 What is the lowest common multiple of 26400 and 360? 79200 Calculate the least common multiple of 1760 and 8096. 40480 What is the common denominator of -23/3079188 and 35/8? 6158376 What is the common denominator of 46/1694005 and 31/17311? 11858035 Calculate the common denominator of 41/1480 and -24/21571. 862840 Calculate the common denominator of -10/21 and -67/272760. 1909320 Find the common denominator of 41/4503 and -22/80769. 6380751 Calculate the common denominator of -51/406 and 71/853934. 5977538 What is the common denominator of -53/174174 and -19/1392? 1393392 Find the common denominator of -121/1924332 and -143/339588. 5772996 Calculate the smallest common multiple of 16259 and 176. 2861584 What is the common denominator of -87/790 and -79/7720? 609880 What is the common denominator of 77/170 and -4/27625? 55250 What is the smallest common multiple of 190 and 12312? 61560 What is the common denominator of 179/21870 and -43/16038? 240570 What is the lowest common multiple of 2416964 and 6? 7250892 Calculate the least common multiple of 33 and 27000. 297000 Find the common denominator of -5/14 and 137/59982. 419874 Find the common denominator of 83/34122 and -1/6204. 68244 Find the common denominator of 115/18 and 37/113475. 680850 What is the lowest common multiple of 437 and 31809? 604371 Calculate the lowest common multiple of 248 and 14. 1736 What is the common denominator of -35/396 and -101/37125? 148500 Calculate the lowest common multiple of 39 and 53679. 697827 What is the common denominator of -163/1650 and 25/49896? 1247400 What is the common denominator of 39/16940 and 74/4235? 16940 What is the common denominator of -73/96 and 127/289392? 578784 What is the lowest common multiple of 369616 and 20? 1848080 Calculate the least common multiple of 5469 and 138. 251574 Find the common denominator of 61/28626 and 59/1794. 658398 What is the smallest common multiple of 9338 and 98? 65366 What is the smallest common multiple of 64440 and 21480? 64440 What is the lowest common multiple of 45027 and 27? 135081 Find the common denominator of -75/2634512 and -11/16. 2634512 Find the common denominator of -81/20 and -37/7070. 14140 What is the lowest common multiple of 2250 and 3582? 447750 What is the common denominator of -51/15172 and -3/11? 166892 What is the lowest common multiple of 652 and 1898? 618748 Calculate the common denominator of 109/206568 and -29/27180. 1032840 What is the least common multiple of 11 and 329472? 329472 Calculate the common denominator of 97/161566 and 1/20. 1615660 What is the least common multiple of 2100 and 19320? 96600 What is the least common multiple of 8 and 487744? 487744 Calculate the lowest common multiple of 410070 and 54676. 820140 What is the least common multiple of 152190 and 418? 1674090 What is the smallest common multiple of 1142724 and 99? 3428172 Calculate the least common multiple of 113952 and 22. 1253472 Find the common denominator of -28/41135 and -27/5. 41135 Calculate the smallest common multiple of 516 and 573. 98556 What is the smallest common multiple of 2800 and 336? 8400 Calculate the common denominator of -7/712 and -9/148. 26344 What is the smallest common multiple of 296 and 259? 2072 What is the smallest common multiple of 160630 and 20? 321260 What is the lowest common multiple of 765 and 721395? 721395 Calculate the smallest common multiple of 140 and 110383. 2207660 Calculate the common denominator of -41/89889 and -137/228. 359556 Calculate the common denominator of -52/605 and -149/660. 7260 Calculate the least common multiple of 6864 and 696. 199056 Find the common denominator of 85/2331 and 79/534058. 4806522 What is the common denominator of -71/35756 and 85/10216? 71512 Find the common denominator of 31/9276 and 61/6. 9276 What is the lowest common multiple of 998 and 6086? 3036914 Calculate the lowest common multiple of 126 and 14400. 100800 Calculate the least common multiple of 8 and 15416. 15416 Calculate the smallest common multiple of 8 and 7034. 28136 Calculate the lowest common multiple of 20955 and 23749. 356235 What is the least common multiple of 145961 and 8? 1167688 What is the smallest common multiple of 7145 and 51? 364395 Calculate the least common multiple of 258018 and 72. 3096216 What is the common denominator of -37/1017 and -31/199897? 1799073 What is the common denominator of -11/936 and 7/150? 23400 Calculate the lowest common multiple of 7299 and 10543. 94887 Find the common denominator of 4/521081 and -59/142113. 1563243 What is the least common multiple of 21 and 1842? 12894 Calculate the lowest common multiple of 48320 and 6040. 48320 Find the common denominator of 21/961154 and 23/27549. 8650386 What is the least common multiple of 301086 and 14? 2107602 Calculate the common denominator of 59/17762 and 47/14525. 3108350 What is the least common multiple of 9870 and 23030? 69090 Calculate the smallest common multiple of 5 and 2220. 2220 Calculate the common denominator of 85/4 and -58/15873. 63492 What is the common denominator of -11/36 and -7/960? 2880 What is the least common multiple of 3776 and 8732? 139712 What is the common denominator of -9/20 and 133/103932? 519660 Calculate the smallest common multiple of 42313 and 57. 126939 Find the common denominator of 7/198 and -115/972. 10692 Calculate the least common multiple of 1007760 and 3344. 11085360 What is the common denominator of -91/135658 and -19/4? 271316 What is the least common multiple of 225420 and 8? 450840 Find the common denominator of -113/8610 and -55/3. 8610 What is the least common multiple of 409746 and 21795? 2048730 Find the common denominator of 109/264080 and -139/24. 792240 Calculate the smallest common multiple of 1764 and 504. 3528 Calculate the lowest common multiple of 68 and 3924. 66708 What is the common denominator of -139/10650 and -89/7455? 74550 Calculate the lowest common multiple of 4785 and 232. 38280 Calculate the smallest common multiple of 4477 and 9. 40293 What is the lowest common multiple of 42195 and 2610? 253170 Calculate the common denominator of 35/57532 and -11/1216. 920512 Calculate the smallest common multiple of 7226 and 8. 28904 What is the common denominator of -92/15 and -46/49149? 245745 What is the lowest common multiple of 1101 and 162? 59454 Calculate the common denominator of -43/546 and 127/43940. 922740 What is the common denominator of 143/129780 and -29/2520? 259560 Calculate the smallest common multiple of 112442 and 44. 224884 Find the common denominator of -109/60 and -9/108220. 324660 Calculate the smallest common multiple of 211876 and 2744. 2966264 What is the lowest common multiple of 20964 and 24? 41928 Calculate the lowest common multiple of 336 and 16422. 131376 What is the smallest common multiple of 83469 and 39? 1085097 Find the common denominator of -73/15345 and -30/3751. 168795 What is the smallest common multiple of 1500 and 294? 73500 What is the smallest common multiple of 123120 and 760? 123120 Calculate the least common multiple of 35712 and 14880. 178560 What is the common denominator of 80/446607 and 73/51? 446607 Calculate the common denominator of 7/143 and 17/66040. 726440 Calculate the least common multiple of 40 and 368. 1840 Find the common denominator of 107/98040 and 179/1710. 294120 Calculate the smallest common multiple of 171 and 374202. 7109838 What is the smallest common multiple of 170 and 180? 3060 What is the common denominator of -151/149592 and -23/9? 448776 What is the lowest common multiple of 137360 and 425? 686800 Find the common denominator of 121/170 and -35/46. 3910 What is the common denominator of 29/14 and 97/50910? 356370 Calculate the common denominator of -107/950 and -169/90. 8550 What is the least common multiple of 4956 and 7080? 49560
{ "pile_set_name": "DM Mathematics" }
204 + x. What is s(k(l))? -36*l**4 Let u(p) = 2*p + 21. Let b(y) = -7*y**2 - 7956. Determine u(b(j)). -14*j**2 - 15891 Let w(c) be the first derivative of -19*c**2 + c - 5694. Let y(x) = -24*x + 1. What is w(y(v))? 912*v - 37 Let l(p) = 5*p**2 + 82. Let m(i) = -34610*i - 34616*i + 69225*i. Give l(m(f)). 5*f**2 + 82 Let y(z) = z + 7. Let o(k) = 31498*k + 2. What is y(o(u))? 31498*u + 9 Let k(f) = -22*f. Let y(d) = -916241*d**2. Give k(y(x)). 20157302*x**2 Let t(c) = 2*c. Let y(z) = 119*z - 56. Let h(i) = -i + 2. Let r be (-18)/90 + (-139)/5. Let j(s) = r*h(s) - y(s). Give t(j(m)). -182*m Let x(c) = -11*c - 151. Let n be x(-32). Let v(u) = -399*u + n*u + 201*u. Let r(i) = 6*i**2 - 6. What is v(r(g))? 18*g**2 - 18 Let b(g) = -8*g**2 - 1. Let k(r) = 19958915*r**2. Determine b(k(n)). -3186866303817800*n**4 - 1 Let v(n) = 223*n**2. Let r(h) be the first derivative of h**2/2 - 297. Calculate v(r(d)). 223*d**2 Let m(a) = 13*a**2. Let g(n) be the second derivative of 7*n**4/12 - n**2 + 576*n. Determine g(m(h)). 1183*h**4 - 2 Let y(q) = -7*q**2. Suppose l - 2*l - 20 = 0. Let m = 28 + l. Let s(n) = -3*n - 9*n + m*n. Calculate y(s(c)). -112*c**2 Let x(v) = -2*v + 373396. Let c(l) = l. Calculate c(x(g)). -2*g + 373396 Let p(o) = -13*o**2. Let i be 3/((-42)/(-4))*(-45 - -52). Let v(u) = 306*u**2 - 618*u**2 + 306*u**i. Determine v(p(a)). -1014*a**4 Let v(d) = -14*d. Let m(l) = 12353*l**2 + 1 - 24719*l**2 + 12502*l**2. What is m(v(t))? 26656*t**2 + 1 Let r(a) = 6 - 5 - 133*a**2 + 111*a**2 - 7. Let v(k) = k**2. Determine v(r(p)). 484*p**4 + 264*p**2 + 36 Let o(x) = -15*x - 4519894 + 4519894. Let f(m) = 19*m. What is f(o(u))? -285*u Let w be 8/28 - 99/(-21). Let i(h) = -3*h. Let l(q) = -4*q. Let d(k) = w*l(k) - 6*i(k). Let y(p) = 4*p - 3*p + 4*p. What is d(y(s))? -10*s Let l(s) = 2*s**2. Let h(f) = 2444*f**2 - 21*f + 3. Let p(n) = 21996*n**2 - 196*n + 28. Let j(g) = 28*h(g) - 3*p(g). Determine j(l(u)). 9776*u**4 Let n(v) = -43*v + 303. Let y be n(7). Let t(l) be the third derivative of 0*l + 11*l**y + 0 + 0*l**3 - 1/12*l**4. Let g(o) = 4*o. Determine g(t(c)). -8*c Let z(p) = 161*p**2. Let s(v) = -1455884*v**2. Determine z(s(j)). 341255313654416*j**4 Let k(b) = -b. Let l(w) = 61*w - 5. Let z(j) = 150*j - 12. Let y(q) = -22*l(q) + 9*z(q). Calculate y(k(o)). -8*o + 2 Let b(q) = 602*q - 1. Let h(z) be the first derivative of -2*z**3/3 + 571. Give b(h(j)). -1204*j**2 - 1 Let f = -1789 + 1793. Let s(w) be the first derivative of 0*w**2 + 1/3*w**3 + 0*w - f. Let j(h) = -23*h**2. Give s(j(x)). 529*x**4 Let u(d) = 2*d - 2. Let j(y) = -2*y - 10. Suppose -7*b = -18 + 11. Let z(m) = b*j(m) - 5*u(m). Let w(k) = -8*k**2. Calculate z(w(h)). 96*h**2 Let q(o) be the third derivative of -90*o**4 + 2*o**2 + 2391*o. Let b(l) = l**2. Determine q(b(d)). -2160*d**2 Let w(j) = -6*j**2 - 433*j - 163. Let c(r) = 43*r**2. Calculate w(c(i)). -11094*i**4 - 18619*i**2 - 163 Let n(d) = 757*d - 438*d - 324*d. Let m(s) = 3*s**2 + 25*s. Give m(n(t)). 75*t**2 - 125*t Let o(a) = 3*a**2. Suppose 0 = -x + 3, 7*b - 8*b - 3*x = -19. Let r = 31 - 21. Let c(i) = 7*i**2 - 8*i**2 + r - b. Determine c(o(m)). -9*m**4 Let h(k) = -516*k + 32. Let u(b) = -16*b + 1. Let l(n) = -3*h(n) + 96*u(n). Let v = -2 + 4. Let s(c) = -c**2 + c**2 - 5*c**v + 3*c**2. Calculate l(s(f)). -24*f**2 Let s(g) be the third derivative of 297*g**2 - 143/24*g**4 + 0*g + 0 + 0*g**3. Let n(u) = u. Give n(s(c)). -143*c Let u(g) = 526*g. Let b(m) be the second derivative of m**4/6 + 969*m. What is u(b(f))? 1052*f**2 Let m(y) = 2430*y. Let g(a) = 1307*a**2 - 2*a. What is m(g(b))? 3176010*b**2 - 4860*b Let x(q) = q**2. Suppose -d + 9 + 21 = 0. Let y be ((-14)/35)/((-3)/d). Let t(f) = -y + 3 + 1 + 7*f**2. Determine x(t(g)). 49*g**4 Let v(s) = -17*s**2 - s. Let d(m) = -m. Let k(h) = 12*h - 5*h + h - h. Let w(x) = 6*d(x) + k(x). Calculate v(w(q)). -17*q**2 - q Let u(l) = 187195612*l. Let s(a) = -a**2. Give u(s(f)). -187195612*f**2 Let y = -5368 + 5371. Let t(j) be the second derivative of 0*j**2 + 0*j**y + 0 + 15*j - 2/3*j**4. Let f(x) = -3*x. Calculate t(f(p)). -72*p**2 Let b(d) = -468 - 20*d**2 - 602 + 1070. Let v(c) = 16*c - 31. What is b(v(f))? -5120*f**2 + 19840*f - 19220 Let y(t) be the second derivative of -1/12*t**4 + 0*t**3 + 1 - 18*t + 0*t**2. Let g(v) = 3*v**2. What is g(y(p))? 3*p**4 Let t(j) = -10*j + 2. Let q(o) = 106*o - 22. Let z(v) = -2*q(v) - 22*t(v). Let l(p) = 877*p**2. Calculate l(z(r)). 56128*r**2 Let c(r) = -16*r**2. Let j(b) = -2*b**2 - 3*b - 6. Let g(l) = 5*l + 7 - 7*l**2 + l**2 + 3 + 9*l**2. Let y(d) = 3*g(d) + 5*j(d). Calculate c(y(n)). -16*n**4 Let k(o) = -3*o - 162. Let z(j) = 21231*j**2 - 3*j. Calculate k(z(q)). -63693*q**2 + 9*q - 162 Let d(p) = -980*p. Let o(q) = 22048*q. Let z(t) = -45*d(t) - 2*o(t). Let y(j) = -j + 36 - 9 - 2*j. Let a(k) = 1. Let r(l) = -108*a(l) + 4*y(l). Give r(z(b)). -48*b Let g(c) = 4*c. Let t(d) = -d. Let b = 16 + -17. Let k(q) = 21*q. Let i(x) = -272*x. Let w(m) = 5*i(m) + 64*k(m). Let h(z) = b*w(z) + 20*t(z). What is g(h(u))? -16*u Let p(k) = -k**2. Let n(o) be the first derivative of -4034*o**3/3 + 3683. Calculate n(p(d)). -4034*d**4 Let w(r) = -r**2 + 2. Let p(c) = 231304*c. Determine p(w(q)). -231304*q**2 + 462608 Let s(h) = -4*h**2. Let q(y) = -143*y - 11. Let m(b) = 70*b + 6. Let w(f) = -11*m(f) - 6*q(f). Determine s(w(r)). -30976*r**2 Let n(f) = 14*f**2. Let h(r) = -9*r**2. Let b = -25 - -30. Let l = -32 + 40. Let q(v) = b*n(v) + l*h(v). Let i(z) = 6*z. Determine i(q(u)). -12*u**2 Let r(s) = -2*s**2. Let g = -241 + 249. Let v(h) = 5*h**2 + 36*h - 36*h + g*h**2. Give r(v(z)). -338*z**4 Let n(x) = 110*x. Let f(m) = 243*m + 235*m + 2*m**2 - m**2 - 478*m. Give f(n(l)). 12100*l**2 Let u(a) = -66*a. Let i = 292 + -290. Let f(k) = -5*k + 9*k - 5*k - i*k. Give f(u(t)). 198*t Let k(l) = l**2. Let r be (-1)/4 + 45/36. Let y(u) = -1 - 228*u + r + 189*u. Give y(k(q)). -39*q**2 Let z(i) = -14*i**2. Let m(q) = 22*q + 66060. Determine m(z(t)). -308*t**2 + 66060 Let u(w) be the first derivative of 0*w - 1/3*w**3 - 92 + 0*w**2. Let c(g) = -203*g. Give u(c(r)). -41209*r**2 Let h(y) = 2*y. Let s(p) = -3122*p - 2161. What is h(s(g))? -6244*g - 4322 Let k(y) be the first derivative of 2*y**3/3 - 4*y + 14. Let p(c) = 30*c + 3. Let j(w) = -81*w - 8. Let v(z) = 3*j(z) + 8*p(z). Determine v(k(r)). -6*r**2 + 12 Let m(c) = -3401*c**2. Let j(p) = -p - 3860 + 0*p + 3860. What is m(j(u))? -3401*u**2 Let v(u) = 2*u**2. Let g(l) = -2*l**2. Let y(t) = -g(t) - 2*v(t). Let k(r) be the third derivative of -r**4/3 + r**3/3 - 669*r**2 + 29. Give y(k(j)). -128*j**2 + 64*j - 8 Let j(c) = 6*c. Let z(p) = 700 - 361 + 2479*p - 339. What is j(z(h))? 14874*h Let o(r) = -2*r. Let l(g) = 35 - 130 + 40 + 55 - 864*g. Calculate o(l(w)). 1728*w Let r(o) = -6*o - 5*o - 3*o + 13*o. Let g(l) be the second derivative of 2*l**3 + 13*l - 33*l + 12*l. Calculate r(g(c)). -12*c Let c(l) = 86 - 117200*l**2 + 117203*l**2 - 88 + 23*l. Let z(q) = -2*q**2. Calculate c(z(a)). 12*a**4 - 46*a**2 - 2 Let z(v) = -60*v + 126. Let u(t) = 98*t - 189. Let p(y) = -5*u(y) - 8*z(y). Let m(w) = w. Give p(m(d)). -10*d - 63 Let f(d) = 54*d - 45. Let x(h) be the second derivative of -5*h**3/6 + 2*h**2 - h - 17. Let j(b) = 4*f(b) + 45*x(b). Let z(p) = -10*p. Determine j(z(t)). 90*t Let w(t) be the first derivative of 3/2*t**2 + 56 + 0*t. Let r(l) = 11*l**2 - l. Determine r(w(s)). 99*s**2 - 3*s Let u(r) = -6*r. Let m(w) = 2170018*w**2. What is m(u(g))? 78120648*g**2 Let v(s) = 543996*s**2. Let q(g) = -42*g + 2. Give q(v(r)). -22847832*r**2 + 2 Let l(m) = 139*m + 2. Let q(r) = 320858*r. Calculate l(q(n)). 44599262*n + 2 Let q(i) = -1. Let u(n) = 3*n + 4. Let f(c) = 4*q(c) + u(c). Let k(d) be the first derivative of -3*d**2/2 + 16*d - 5340. Give f(k(m)). -9*m + 48 Let q(p) = p - 16. Let g(b) be the third derivative of 0*b + 0 - 80*b**2 + 0*b**3 - 1/8*b**4. Give q(g(f)). -3*f - 16 Let t(a) be the third derivative of 23*a**5/60 - 3*a**2 - 72*a + 3. Let j(s) = -2*s. Let v be j(-1). Let f(d) = -2 + d + v. What is t(f(c))? 23*c**2 Let y = 5 - 3. Let r(l) = -4*l + 29. Let q be r(6). Let x(t) = -7*t - 18*t - y + q*t + 4*t. Let p(h) = h**2. Calculate p(x(k)). 256*k**2 + 64*k + 4 Let b = -17 - -19. Suppose 2*t + 10 = 14. Let o(f) = 68*f + 6*f**b - 23*f**t - 68*f. Le
{ "pile_set_name": "DM Mathematics" }
4*s + 123 = 0, 0 = -v + s - 42. Which is bigger: -44 or v? -44 Suppose 5*m + 4*l + 61 = -139, 4*m - l + 160 = 0. Let w = -39 - m. Is 0 equal to w? False Let v(o) = o**3 + 3*o**2 - 7*o - 2. Suppose 0 = -3*s + 20 - 2. Let y(b) = b**3 + 4*b**2 - 6*b - 3. Let h(q) = s*y(q) - 5*v(q). Let g be h(-9). Does g = 1? True Let c = 1054 - 1054.075. Are c and -0.2 nonequal? True Let c(z) = -2*z**2 - 6*z. Let d be c(-4). Let m = 9 + d. Is m != -2/63? True Let k = -40 + 33. Let x be k/((-14)/(-6)) + 5. Suppose -7 = -2*q - 3. Do x and q have the same value? True Let j = -11.75 + 12. Let u = j + -12.25. Let o = -13 - u. Is 1.2 not equal to o? True Let r = 1.16 + -1. Let j = 0.09 - r. Let d = 0.27 + j. Do -4 and d have different values? True Let f be ((-3)/63)/((-18)/108). Which is greater: -7/12 or f? f Let d = 13 - 26. Let g = -6 + d. Let o = -15 - g. Which is smaller: 0.2 or o? 0.2 Let w be (3/(-7))/((-1)/2). Let a(v) = 2*v**2 - 11*v - 120. Let x be a(11). Which is smaller: x or w? w Let h be 1/2 - (-45)/(-42). Let x(c) = 0*c + 3 + c - 15. Let q be x(12). Is q greater than or equal to h? True Let u be ((-3)/51)/(23/16100). Is u smaller than -42? False Let s be (-90)/(-8) + (-69)/(-92). Is s at most 5? False Suppose 4*n - 102 = -2*o, 4*o - 7*n - 178 = -2*n. Let w = -21 - o. Which is greater: w or -67? -67 Let g be 42/8*12/3. Let r be (-39)/(18/g - 1). Let p = -4097/15 + r. Are p and -1 unequal? True Let t = 453701/14068 - 2/3517. Is 33 at least as big as t? True Suppose 21*f - 5952 + 2403 = 0. Which is smaller: f or 172? f Let n be (6/4)/(9 + 423/(-48)). Which is smaller: 2 or n? 2 Suppose 3660*i - 33300 = 3642*i. Which is greater: 1851 or i? 1851 Let t be (0 - -2)/773304*-141293702. Let n = -1/27618 - t. Let o = n - 366. Which is smaller: -1 or o? -1 Let z(l) = -l**3 + 5*l**2 + 7*l + 8. Let u be z(6). Let s be (u + -14)/((-3)/(-1)). Which is bigger: s or 2? 2 Suppose u - 4*u = 0. Let y = -225/299 + 35/23. Is u at least y? False Let m = 74 - 68.3. Let t = -0.3 - m. Is t greater than -1? False Let v(n) = -n**2 - 5*n - 2. Let r be v(-2). Suppose -r*t = -18 - 2. Suppose 0 = 2*f, -f + 17 = -i - t*f. Is -16 at least i? True Let t be (-1026)/(-120) + 6/24. Which is smaller: 10 or t? t Let a = -250 - -268. Which is greater: -0.5 or a? a Let x be (2/6)/(1/3). Let j(f) = -16*f**3 + 5*f**2 + 3*f - 2. Let y be j(-3). Let v = y - 4189/9. Which is greater: v or x? x Suppose 5 - 13 = -2*o. Suppose -p - o*m = 17, 2*p - 7 = 3*m + 14. Let w = 6.1 + -1.1. Is p equal to w? False Let v = 1.3 - 0.3. Let x = 8512 - 34109/4. Are x and v nonequal? True Let a(w) = w - 3. Let x be a(-4). Let u = -18 + 19. Let o be -2 + (2 - u)*-4. Which is smaller: x or o? x Let h = -222 + 667/3. Which is smaller: h or 46? h Let f be (5/3)/(2/6). Suppose 4*u + f*l = 11, 6 = -4*u + u + l. Let o be 3/2 - (-2)/(-4). Which is greater: u or o? o Let t = -42 - -42. Is t at least -3/28? True Let q be 226/120 - (-78)/(-585). Are 3 and q non-equal? True Suppose 6*l - 870 = 222. Which is smaller: l or 183? l Let j = 2 - 14. Let g be (-1)/4 - 27/j. Let k(q) = q**2 + 6*q + 9. Let t be k(-4). Is t greater than g? False Let k be 10 - 4 - (-8954)/(-1492). Which is smaller: k or -1? -1 Let h = -78 - -94. Is h at least as big as -6? True Let t be (-1)/(-3) + -7*(-10)/(-385). Is 3 <= t? False Let j = -1212 + 3368. Is j equal to -1/3? False Suppose -10*n + 7 = -23. Suppose -4*c = -n + 7, q - 3*c = 2. Are q and -1/41 nonequal? True Let i(z) = -z**3 - 10*z**2 - 8*z + 11. Let p be i(-9). Suppose c + c - p = 0. Which is bigger: c or 2/13? c Let x = -1/8238 + 27503/354234. Is x smaller than 0? False Let v be (-272)/(-24) + (-2)/6. Suppose -v*n + 6*n + 20 = 0. Is 4 at least n? True Let k = 0.0538 + -62.0538. Which is greater: k or 2? 2 Let a = -9.4 + 10.1. Let n = a + -0.4. Are n and -1/9 equal? False Let s = 29 - 23.5. Let x = s + -1.5. Let a = -3 - x. Which is bigger: -0.1 or a? -0.1 Let s be (6/(-5))/(2/(-5)). Suppose -5*v = -5*h - 50, 37 - s = 4*v - h. Suppose 15*m - 8*m = 56. Does v = m? True Let i(f) = f**2 + 13*f + 16. Let p be i(-12). Suppose 11*k - p = 9*k. Which is bigger: k or 13/8? k Let k = 50 + -47. Suppose 2*a = 4*d - 1 + 3, 4*d = a - k. Which is greater: -2/137 or a? -2/137 Let w = -27 - 24. Let g = w - -50. Which is greater: g or 11? 11 Let r = 274499/3 - 89383. Let s = r + -2137. Which is greater: -20 or s? -20 Suppose -16*r - 301 - 3123 = 0. Are r and -213 equal? False Suppose -3*k + 2*k + 5*s - 63 = 0, -3*s = -4*k - 184. Which is greater: 0 or k? 0 Let f = 822 + -821. Which is smaller: f or -1/238? -1/238 Suppose -7*t + t = -t. Let l = -7 + 6. Which is smaller: t or l? l Let s = 11 + -79. Let m = s + 66. Suppose -o + 4*f - 7 = 0, 2*o = -3*f - 1 - 2. Which is greater: m or o? m Let z(p) = -p**3 - 23*p**2 + 27*p + 58. Let u be z(-24). Is 11 equal to u? False Let b = -24 + 7. Let a = 49 + -60. Let p = a - b. Is 4 <= p? True Let r(u) = u**3 + 2*u**2 - u - 2. Let i be r(-2). Let j be ((-13)/((-78)/(-12)))/(4/466). Let n = j - -1641/7. Is i >= n? False Suppose 0 = 4*y - 24 + 60. Let x be (3/y)/(1/(-9)). Suppose 0 = -5*m - p + 9, 2*p - 4 = -2*m + 6*m. Which is smaller: m or x? m Suppose -m - 2*m + 21 = 0. Let i be (m - 12)/(-4*1). Which is smaller: -2/7 or i? -2/7 Suppose 4*f - 4*t - 992 = -f, -3*t - 989 = -5*f. Is f less than or equal to 195? False Suppose z = -5, l = 4*l - z - 68. Suppose -l*a = -19*a. Suppose a = -t - t. Is t != 5/6? True Let l(p) = 36*p - 674. Let b be l(20). Which is smaller: 52 or b? b Suppose 0 = -2*d + 140 - 140. Are -1/1012 and d equal? False Let v = -941495/8 + 117527. Let y = 159 + v. Are -2 and y non-equal? True Let l = 19 - 7. Let o be l/(-14)*(-28)/68. Let y = -2 - -2. Are o and y nonequal? True Let n = 3 + -4. Let l = n + 2. Let h = -74.6 + 75. Do l and h have different values? True Let k(i) = i**3 - 10*i**2 + 9*i - 12. Let f be k(9). Let r = f - -1. Let z(a) = -a**3 - 10*a**2 + 12*a + 17. Let m be z(r). Which is smaller: 8 or m? m Let n(o) = o - 2. Let q be n(2). Let t = -7 - q. Let z = t + 6. Which is bigger: -1/19 or z? -1/19 Let k be (-4)/(-12)*1 + (-80)/60. Which is smaller: k or 1? k Suppose 6 = 5*k - 2*k - i, 4*k - 3*i = 8. Suppose -7*n = -4*n - 15. Suppose 5*y + 5*r + 32 = k*y, -n*y = -r + 44. Is y at least as big as -8? False Let w = 2681 - 1483. Let x = -13188/11 + w. Are x and 0 equal? False Suppose -5*i + 4*i + 2 = 0. Let w be (-53)/i - 4/2. Let f = w + 21. Which is smaller: -7 or f? f Let w(x) = -x**3 - 5*x**2 - 4*x + 2. Let m be w(-3). Let b be ((-2)/33)/(30/(-9) - m). Is -3 not equal to b? True Let u = -6 + 200. Suppose 18*f = 20*f - u. Is f smaller than 97? False Let m = -16 + 10. Let q be (5 - (3 + -54)) + -4. Let x = q + -56. Do x and m have different values? True Let m = 28 - 22. Suppose 4*h + m*r + 38 = 4*r, 0 = -2*r - 6. Let b be (9/6)/(4/h). Is b greater than -4? True Suppose -7*y + 11484 = -73*y. Is y < -174? False Let l = 1530773/12922 - 1540/13. Which is smaller: 0 or l? 0 Let j = 1 - 1.1. Let q = -7.1 + 18.1. Which is bigger: j or q? q Let j = 2212 + -584. Is j greater than 1628? False Suppose 0 = -2*f - 4*a + 44, 2*f - 3*f = -2*a - 6. Let s = f + -13. Let m be 20/15 - 2/s. Which is greater: -2 or m? m Let i = -5760 + 2844. Is i > -2916? False Let r = -18 + 24. Suppose 2*z - 4 = 5*l, -3*z - 19 = -l + r*l. Let s = -16 + 19. Are l and s equal? False Let j be ((-93)/4)/((-282)/(-752)). Which is smaller: j or -61? j Let n = 98.3 - 95.3. Let k = -569/7 + 81. Which is smaller: n or k? k Let b = -4260 + 4286. Let d = 0.1 - 0.2. Which is greater: d or b? b Let j be 2*((-9)/(-30))/((-3)/(-4)). Is -0.06 smaller than j? True Suppose 4*u - 196 = -4*l, -15*l + 14*l - 95 = -2*u. Which is greater: u or 95/2? u Let r be (1 + -7)/((-867)/(-2023)). Let m(i) = -4*i + 7. Let u = 8 + -3. Let b be m(u). Is b less than r? False Let c = -1761/2 - -3769/4. Is 62 not equal to c? True Let b(g) = 5*g + 12. Let v(a) = -14*a - 35. Let h(t) = 8*b(t) + 3*v(t). Suppose 5 = -5*c - 30. Let k be h(c). Which is bigger: 0.1 or k? k Let f be (6/4)/(20 + -2). Let s = 742 + -741. Which is smaller: f or s? f Let x be (-4 + (-66)/(-18))*1746/(-3). Is 195 > x? True Let f(a) = 19*a + 1. Let z be f(1). Suppose 0 = 5*w - 9*w - z. Let s be (-1)/((w - -3) + 1). Is 2 less than s? False Suppose 3*c - 6
{ "pile_set_name": "DM Mathematics" }
4 What is the o'th term of 5622, 22511, 50658, 90063, 140726, 202647? 5629*o**2 + 2*o - 9 What is the s'th term of -550895, -550894, -550893, -550892, -550891? s - 550896 What is the i'th term of -1721, -6903, -15539, -27629, -43173, -62171? -1727*i**2 - i + 7 What is the v'th term of -624, -585, -520, -429? 13*v**2 - 637 What is the d'th term of 575, 1155, 1763, 2405, 3087, 3815, 4595, 5433? d**3 + 8*d**2 + 549*d + 17 What is the r'th term of -1103, -1097, -1089, -1079, -1067, -1053, -1037? r**2 + 3*r - 1107 What is the u'th term of 1985, 2006, 2031, 2060, 2093, 2130? 2*u**2 + 15*u + 1968 What is the r'th term of 348, 741, 1144, 1557, 1980, 2413? 5*r**2 + 378*r - 35 What is the l'th term of -3302, -3319, -3348, -3389, -3442, -3507, -3584? -6*l**2 + l - 3297 What is the b'th term of 1710, 1626, 1542? -84*b + 1794 What is the h'th term of 675, 2371, 5087, 8823, 13579, 19355? 510*h**2 + 166*h - 1 What is the t'th term of 5646, 22645, 50968, 90609, 141562, 203821, 277380? -t**3 + 5668*t**2 + 2*t - 23 What is the s'th term of -14503, -29024, -43545, -58066? -14521*s + 18 What is the x'th term of 2218, 8811, 19794, 35167, 54930, 79083, 107626? 2195*x**2 + 8*x + 15 What is the t'th term of -103, -465, -815, -1147, -1455, -1733, -1975, -2175? t**3 - 369*t + 265 What is the o'th term of -693383, -693385, -693387? -2*o - 693381 What is the s'th term of -4973, -9947, -14925, -19907? -2*s**2 - 4968*s - 3 What is the d'th term of 444, 930, 1466, 2058, 2712, 3434, 4230? d**3 + 19*d**2 + 422*d + 2 What is the q'th term of -7355, -7308, -7209, -7040, -6783, -6420, -5933, -5304? 3*q**3 + 8*q**2 + 2*q - 7368 What is the l'th term of -2168, -2188, -2212, -2240? -2*l**2 - 14*l - 2152 What is the c'th term of 1147, 2225, 3303, 4381? 1078*c + 69 What is the l'th term of 930, 1888, 2846? 958*l - 28 What is the y'th term of 3514831, 7029663, 10544495, 14059327, 17574159, 21088991? 3514832*y - 1 What is the y'th term of 2333, 4575, 6813, 9047? -2*y**2 + 2248*y + 87 What is the r'th term of -217713, -435427, -653141, -870855, -1088569, -1306283? -217714*r + 1 What is the u'th term of 3111, 6165, 9219, 12273, 15327? 3054*u + 57 What is the w'th term of 182080, 364174, 546268, 728362? 182094*w - 14 What is the h'th term of -269, -960, -2071, -3602, -5553? -210*h**2 - 61*h + 2 What is the z'th term of 276, 527, 786, 1053, 1328, 1611, 1902? 4*z**2 + 239*z + 33 What is the r'th term of -321, -685, -1063, -1461, -1885? -r**3 - r**2 - 354*r + 35 What is the y'th term of 22516, 45029, 67542, 90055, 112568, 135081? 22513*y + 3 What is the w'th term of 7322, 7585, 7846, 8105, 8362, 8617? -w**2 + 266*w + 7057 What is the j'th term of 1005, 7716, 25899, 61290, 119625? 956*j**3 + 19*j + 30 What is the x'th term of 2009, 4098, 6187? 2089*x - 80 What is the l'th term of 7523, 15094, 22715, 30410, 38203? 4*l**3 + l**2 + 7540*l - 22 What is the a'th term of -730, -298, 124, 530, 914, 1270? -a**3 + a**2 + 436*a - 1166 What is the y'th term of -1031, -2077, -3141, -4229, -5347, -6501? -y**3 - 3*y**2 - 1030*y + 3 What is the x'th term of 220, 388, 558, 730, 904? x**2 + 165*x + 54 What is the a'th term of 186424, 372838, 559242, 745636? -5*a**2 + 186429*a What is the y'th term of -378877, -378870, -378857, -378838? 3*y**2 - 2*y - 378878 What is the n'th term of 57, 1077, 3055, 5991? 479*n**2 - 417*n - 5 What is the p'th term of 33559, 67878, 102187, 136480, 170751, 204994? -p**3 + p**2 + 34323*p - 764 What is the w'th term of -315, -549, -783? -234*w - 81 What is the v'th term of 18649, 37297, 55943, 74587, 93229? -v**2 + 18651*v - 1 What is the v'th term of -223633, -447267, -670901, -894535, -1118169, -1341803? -223634*v + 1 What is the f'th term of -559, -1685, -2811, -3937, -5063? -1126*f + 567 What is the w'th term of -16648, -16653, -16658, -16663, -16668, -16673? -5*w - 16643 What is the t'th term of 698, 1196, 1700, 2216, 2750, 3308? t**3 - 3*t**2 + 500*t + 200 What is the d'th term of 71824, 71834, 71850, 71872, 71900, 71934? 3*d**2 + d + 71820 What is the v'th term of 77992, 155983, 233974? 77991*v + 1 What is the i'th term of 29792, 59588, 89384, 119180? 29796*i - 4 What is the d'th term of -1708, -3311, -4914, -6517? -1603*d - 105 What is the k'th term of 3692, 7361, 11030? 3669*k + 23 What is the v'th term of 4742, 9567, 14392, 19217, 24042? 4825*v - 83 What is the h'th term of -14945, -14941, -14935, -14927, -14917, -14905, -14891? h**2 + h - 14947 What is the a'th term of -146, -172, -218, -284? -10*a**2 + 4*a - 140 What is the l'th term of 2212, 8889, 20014, 35581, 55584, 80017, 108874? -l**3 + 2230*l**2 - 6*l - 11 What is the c'th term of -70, -128, -212, -334, -506? -2*c**3 - c**2 - 41*c - 26 What is the i'th term of 1928, 1715, 1502, 1289, 1076? -213*i + 2141 What is the c'th term of 95, 176, 339, 626, 1079? 7*c**3 - c**2 + 35*c + 54 What is the v'th term of 3262, 3156, 3052, 2950, 2850, 2752? v**2 - 109*v + 3370 What is the v'th term of 6816, 6789, 6744, 6681, 6600, 6501? -9*v**2 + 6825 What is the q'th term of -136711, -273421, -410131, -546841, -683551, -820261? -136710*q - 1 What is the r'th term of -49120, -49118, -49116, -49114, -49112, -49110? 2*r - 49122 What is the v'th term of 4493, 4498, 4503? 5*v + 4488 What is the u'th term of -7453, -14899, -22341, -29779, -37213? 2*u**2 - 7452*u - 3 What is the o'th term of 153, 286, 417, 540, 649, 738, 801, 832? -o**3 + 5*o**2 + 125*o + 24 What is the i'th term of 88, 106, 168, 298, 520? 4*i**3 - 2*i**2 - 4*i + 90 What is the r'th term of -3745, -3597, -3345, -2983, -2505, -1905, -1177, -315? r**3 + 46*r**2 + 3*r - 3795 What is the x'th term of 23226, 23287, 23390, 23535, 23722? 21*x**2 - 2*x + 23207 What is the i'th term of 12948, 12945, 12942, 12939, 12936? -3*i + 12951 What is the b'th term of 1614, 1609, 1600, 1587, 1570, 1549? -2*b**2 + b + 1615 What is the j'th term of -34, -119, -256, -445, -686? -26*j**2 - 7*j - 1 What is the r'th term of 854, 3363, 7546, 13403, 20934, 30139, 41018? 837*r**2 - 2*r + 19 What is the n'th term of -11582, -11714, -11940, -12266, -12698, -13242, -13904? -n**3 - 41*n**2 - 2*n - 11538 What is the w'th term of 103, 238, 395, 580, 799, 1058, 1363? w**3 + 5*w**2 + 113*w - 16 What is the a'th term of 356, 1452, 3286, 5858? 369*a**2 - 11*a - 2 What is the d'th term of 1821, 1842, 1877, 1926? 7*d**2 + 1814 What is the r'th term of -15466, -15477, -15488, -15499? -11*r - 15455 What is the s'th term of -43447, -43475, -43513, -43567, -43643, -43747? -s**3 + s**2 - 24*s - 43423 What is the l'th term of -36, -258, -474, -684, -888, -1086, -1278? 3*l**2 - 231*l + 192 What is the v'th term of -1289, -2534, -3779, -5024? -1245*v - 44 What is the y'th term of 6943, 13890, 20837, 27784? 6947*y - 4 What is the b'th term of 69995, 69995, 69997, 70001, 70007? b**2 - 3*b + 69997 What is the d'th term of 24, 89, 138, 165, 164, 129? -d**3 - 2*d**2 + 78*d - 51 What is the y'th term of -5098, -5093, -5088, -5083, -5078, -5073? 5*y - 5103 What is the f'th term of 799, 1496, 2193, 2890? 697*f + 102 What is the z'th term of 10141, 20288, 30435, 40582, 50729, 60876? 10147*z - 6 What is the x'th term of -5932, -5934, -5944, -5962? -4*x**2 + 10*x - 5938 What is the g'th term of -128, -85, -6, 127, 332? 3*g**3 + 22*g - 153 What is the v'th term of -144, -277, -426, -591? -8*v**2 - 109*v - 27 What is the v'th term of 409, 377, 345, 313, 281, 249? -32*v + 441 What is the w'th term of 167782, 335582, 503384, 671188, 838994? w**2 + 167797*w - 16 What is the p'th term of -1613, -1631, -1649, -1667, -1685, -1703? -18*p - 1595 What is the v'th term of -120, -144, -174, -210, -252, -300? -3*v**2 - 15*v - 102 What is the x'th term of 80, 46, 2, -52? -5*x**2 - 19*x + 104 What is the k'th term of 340, 709, 1074, 1435, 1792, 2145? -2*k**2 + 375*k - 33 What is the u'th term of 52269, 104526, 156783, 209040, 261297, 313554? 52257*u + 12 What is the g'th term of -920848, -920856, -920864, -920872, -920880? -8*g - 920840 What is the z'th term of 453, 490, 527, 564, 601? 37*z + 416 What is the q'th term of -114448, -228895, -343342, -457789, -572236, -686683? -114447*q - 1 What is the q'th term of 5846, 5873, 5920, 5999, 6122? 2*q**3 - 2*q**2 + 19*q + 5827 What is the h'th term of 106, 571, 1676, 3691, 6886, 11531, 17896? 45*h*
{ "pile_set_name": "DM Mathematics" }
8 wrt c. 2204*c What is the derivative of 5767*z**2 - z**3 + 2347 - 5435*z**2 + 4*z + 3535 wrt z? -3*z**2 + 664*z + 4 Let a be -16 + (-2 - -1) + 3. Let s be (-12 - a)*3*1. Find the second derivative of 5*y + 8*y - 6 - y**4 + s wrt y. -12*y**2 Let j(g) be the first derivative of g**6/30 + g**5/24 + 5*g**4/2 - 121*g**3/3 - 60. Let h(w) be the third derivative of j(w). Differentiate h(n) wrt n. 24*n + 5 What is the second derivative of 385*k**2 + 7*k - 8*k + 1493 + 106*k**2 + k - k wrt k? 982 Let s(c) be the third derivative of 47*c**4/8 - 281*c**3/2 + 1407*c**2. What is the derivative of s(p) wrt p? 141 Let d be 0/4 + -4 + 1 + 5. What is the derivative of -201 - 8*f**3 + 368*f**2 + 2*f**4 - 368*f**d + f**4 wrt f? 12*f**3 - 24*f**2 Suppose -10*z + 44 = 14. Find the third derivative of 26*h**3 - 12*h**2 + 1054*h**4 - h**6 - z*h - 1054*h**4 wrt h. -120*h**3 + 156 Let h(u) = u**2 + 50. Let z be h(27). What is the second derivative of -3*m + 20*m**5 + 779*m**4 - z*m**4 - 4*m wrt m? 400*m**3 Find the first derivative of 52*q - 82*q + 1211 + 30*q - 612*q**4 wrt q. -2448*q**3 Suppose -124*z + 634 - 150 = 118*z. Let w(q) be the first derivative of 0*q + 4 + 0*q**3 - 17/4*q**4 + 9/2*q**z. Find the second derivative of w(v) wrt v. -102*v Suppose -7*y + 140 - 7 = 0. Suppose 9 = -5*b + y. Find the third derivative of 2*c**4 + 3*c**2 + 0*c**4 + c**b wrt c. 48*c Let v(w) be the third derivative of 0*w**3 + 0*w - 2 + 49/120*w**6 - 29*w**2 + 1/12*w**4 - 9/20*w**5. What is the third derivative of v(s) wrt s? 294 Let a = 20 + 12. Let u = 36 - a. Find the third derivative of 3*n**2 + 48*n**4 + 18*n**5 - 48*n**u wrt n. 1080*n**2 Let b be ((-36)/10)/(((-42)/15)/7). Suppose 1 = -b*z + 28. Find the second derivative of -5*o**3 - 3*o**2 + z*o**2 - 18*o**3 + 23*o wrt o. -138*o Find the first derivative of 56*k**3 + 510*k**3 - 51*k**3 - 227 + 1154 wrt k. 1545*k**2 Suppose 1 = 3*r - b, r - 27 = b - 6*b. Suppose r*f + 5*l = -2*f + 28, l = 4. What is the derivative of g**2 + 25 + 4*g**2 - 15*g**f wrt g? -20*g Suppose 92 = 5*l - 108. Find the first derivative of -15*c - 55*c + l - 24*c + 47*c wrt c. -47 Let n(r) be the third derivative of -37*r**9/18 - 19*r**5/12 - 91*r**2 - 5. What is the third derivative of n(u) wrt u? -124320*u**3 Let c be 2/6*108/12. Find the first derivative of -h**3 - 4*h**c - 5*h**3 + 23*h**2 + 11*h**3 + 4 wrt h. 3*h**2 + 46*h Let y(q) be the third derivative of 2534*q**5/15 - 436*q**4 + 11120*q**2. What is the second derivative of y(s) wrt s? 20272 Let d(k) = k**3 - k**2 - 33. Let c be d(0). Let y = c - -39. Find the third derivative of 6*q**2 + 2*q**y + q**6 + q**2 - 2*q**2 wrt q. 360*q**3 Find the third derivative of 84*k**3 + 0*k**2 - 3*k**2 - 45*k - 10*k**4 - 140*k + 4*k**2 - 482*k wrt k. -240*k + 504 Let x(c) = -c + 76 - 35 - 40. Let y(u) = -58*u - 53. Let g(p) = 6*x(p) - y(p). Differentiate g(k) with respect to k. 52 Let x = -50 - -58. Suppose 0 = 3*b + x - 17. Differentiate 24 + 28 - 80 + 27 - 6*u**b wrt u. -18*u**2 Suppose 142*q = 150*q - 304. What is the third derivative of 21*s**2 - q*s**3 - 886 + 1780 - 891 + 235*s**3 wrt s? 1182 Let t = 5395 + -5389. Let h(v) be the first derivative of -5*v**2 + 0*v**5 + 0*v**4 + 1/3*v**t + 0*v + 0*v**3 - 1. Find the second derivative of h(d) wrt d. 40*d**3 Find the first derivative of 91*f**2 + 65*f**2 + 1620 - 61*f**2 - f**4 - 2*f**4 + 432 wrt f. -12*f**3 + 190*f Let j(l) be the second derivative of 4447*l**5/10 - 1093*l**4/2 + l**2 - 10273*l. Find the third derivative of j(v) wrt v. 53364 Let d(s) = 2499*s**2 + 3041*s + 14. Let v(j) = 833*j**2 + 1019*j + 5. Let u(g) = 4*d(g) - 11*v(g). What is the second derivative of u(p) wrt p? 1666 Suppose 141 = 5*l + 5*b - 204, 5*l - 348 = -4*b. Suppose 67 - l = -p. What is the third derivative of -5*f**2 + p*f**3 - 7*f**3 + 2*f**3 + 8*f**4 wrt f? 192*f Suppose 0 = 32*w - 33*w + 89. What is the first derivative of w - 34*h**2 - 22 + 30 - 65*h**2 wrt h? -198*h Let d(x) be the first derivative of -50 + 0*x**4 + 0*x**2 - 11/5*x**5 + 9*x - 1/3*x**3. What is the third derivative of d(i) wrt i? -264*i Let f(i) = 4*i + 191. Let u be f(-47). What is the second derivative of -4*s**3 - 10*s**3 + 2*s**4 - 52*s - 4*s**3 - 4*s**3 - u + 8*s**3 wrt s? 24*s**2 - 84*s Let d = 252 + -248. Find the third derivative of -131*z**d + 3*z**2 - 1277 + 1277 wrt z. -3144*z Let v(a) = -a**3 + 5*a**2 - 6*a + 9. Let c be v(4). Let y be -3*c/9*57*-3. Differentiate 5 + 24*b**4 + 57*b**3 - y*b**3 - 26 wrt b. 96*b**3 Find the third derivative of 20616*c - 8*c**3 - 23277*c - 2*c**2 + 16*c**3 - 4*c**4 - 7*c**3 - 51*c**5 wrt c. -3060*c**2 - 96*c + 6 Let n(b) be the first derivative of 22/5*b**5 + 0*b**3 + 55/2*b**2 + 0*b**4 + 2*b - 82. What is the second derivative of n(f) wrt f? 264*f**2 Let p(g) be the third derivative of 2*g**7/105 + 3*g**6/8 - 25*g**4/6 - 62*g**2 - 4. Find the second derivative of p(d) wrt d. 48*d**2 + 270*d What is the second derivative of 237*r + 12*r + 68752*r**5 - 68309*r**5 wrt r? 8860*r**3 Find the third derivative of -5138*p - 1692*p**2 + 5138*p - 1172*p**3 - 133*p**3 wrt p. -7830 Suppose -26*y + 383 = 5*g - 25*y, -5*g + 368 = -4*y. What is the third derivative of 25*b**3 + 19*b**3 + 2*b**5 + 61*b**2 - b**5 + g*b**3 wrt b? 60*b**2 + 720 Let y(z) = -24823*z**3 - 5*z**2 - 44*z + 32. Let p(v) = 37235*v**3 + 8*v**2 + 69*v - 48. Let o(s) = 5*p(s) + 8*y(s). Find the second derivative of o(w) wrt w. -74454*w Let p(l) = -1481*l + 1352. Let y(u) = -1490*u + 1353. Let j(z) = -3*p(z) + 4*y(z). What is the first derivative of j(k) wrt k? -1517 Let c(b) be the second derivative of 237*b**7/14 - b**6/30 - b**5/10 - 2387*b**4/12 + 6545*b. What is the third derivative of c(m) wrt m? 42660*m**2 - 24*m - 12 Let k(f) be the third derivative of 1138*f**7/105 + 16*f**4/3 + 7*f**3/6 + 821*f**2. Find the second derivative of k(c) wrt c. 27312*c**2 Suppose 0 = 5*p - f - 10, -19 = -3*p - 0*p - 2*f. What is the second derivative of 72*x**3 - 148*x**3 - 77*x**p + 125*x - 152*x**3 - 84*x wrt x? -1830*x Let v = 0 + 0. Let w(y) = y**2 - 3*y + 9. Let o be w(v). Find the second derivative of -2*m**3 - o*m + 4*m**3 + 2*m + m**3 wrt m. 18*m Let g(v) be the third derivative of 9*v**8/112 - 7*v**6/40 - 31*v**4/3 - 5*v**3/6 - 97*v**2 + 7. Find the second derivative of g(q) wrt q. 540*q**3 - 126*q What is the third derivative of -51*o**2 + 101*o**2 + 34*o - 6*o**2 - o**3 + 18*o**2 + 2*o**3 + 333*o**6 wrt o? 39960*o**3 + 6 Let w(j) be the third derivative of 809*j**5/60 + 235*j**4/12 - j**3/6 - 433*j**2. What is the second derivative of w(q) wrt q? 1618 Let h be 5 - (35/5 + -3 + -2). Find the third derivative of 15*p**2 + 56*p**3 - 13*p**2 - 76 + 73*p**h wrt p. 774 Let b = 561 + -557. Find the second derivative of 21 + 22*n**4 + 25 - 46 - 24*n + 16*n**b wrt n. 456*n**2 Let c(g) = -453*g**3 + 84*g**2 - 10. Let h(f) = -453*f**3 + 87*f**2 - 12. Let v(i) = -4*c(i) + 3*h(i). What is the third derivative of v(r) wrt r? 2718 Let y = 4 - -3. Let p(j) = -j**3 - 2*j**2 + 5. Let n be p(-3). What is the second derivative of -2*l - y*l + 14 - n + 21*l**2 wrt l? 42 Let k(s) be the second derivative of -2/3*s**3 - 7*s**2 - 11/2*s**4 + 0 + 0*s**6 - 1/21*s**7 + 33*s + 0*s**5. Find the second derivative of k(h) wrt h. -40*h**3 - 132 Suppose -2*u + 3*n = -0 + 11, 4*u - 18 = -2*n. Find the third derivative of -2*i - 15*i**3 - 12*i**3 + 100*i**3 - 1034*i**2 + 1042*i**u wrt i. 438 Let m(x) = 114*x**5 - 5*x**3 - 714*x**2 + 18*x - 6. Let p(g) = g**5 + g**3 - g**2 - 3*g + 1. Let c(n) = m(n) + 6*p(n). Find the third derivative of c(s) wrt s. 7200*s**2 + 6 Find the first derivative of 63*k + 6*k**2 + 48*k - 105*k + 56*k - 1809 + k wrt k. 12*k + 63 Let g(r) be the first derivative of 637*r**5/5 - 836*r**2 - 1043. Find the second derivative of g(t) wrt t. 7644*t**2 Find the third derivative of -2907*n**3 + 3073*n**2 - 98*n**3 - 12432*n**2 - 1745*n**3 - 77*n**3 wrt n. -28962 Let g = 149 - 146. Find the second derivative of 109 - 102 + g*b + 58*b**2 - 5*b wrt b. 116 Find the second derivative of -1304*s**2 + 513*s - 17260144 + 17260144 wrt s. -2608 Suppose 52*c - 50 - 106 = 0. Let x(t) be the first derivative of 18*t - 5/3*t**c + 0*t**2 - 20. Differentiate x(q) wrt q. -10*q Find the third derivative of -158*m**2 + 290*m**2 - 1110*m**2 - 1
{ "pile_set_name": "DM Mathematics" }
0*i Let n(b) = -39*b**2 + 133*b + 8. Let y(u) = -13*u**2 + 45*u + 3. Let x(r) = 3*n(r) - 8*y(r). Find the second derivative of x(p) wrt p. -26 Let h(a) be the third derivative of 1/3*a**3 + 0 + 0*a**5 + 0*a + a**2 + 0*a**4 + 1/60*a**6. What is the first derivative of h(n) wrt n? 6*n**2 Suppose 1 = -w + 3. What is the second derivative of -3*k - 5*k**2 + 3*k + w*k + 2*k**2 wrt k? -6 Let j(b) = 9*b**4 - 3*b**3 + 5*b + 3. Let p(s) = s**4 + s**3 - s - 1. Let c(w) = j(w) + 3*p(w). What is the second derivative of c(m) wrt m? 144*m**2 Let z(q) be the second derivative of q**3/6 + 5*q**2 - 2*q. Let s be z(-7). Differentiate -s*c**4 + 4*c**4 + 0 + 2 with respect to c. 4*c**3 Let a(c) = 10*c**3 - 4*c - 5. Let z(r) = 30*r**3 - 11*r - 15. Let t(h) = 11*a(h) - 4*z(h). What is the derivative of t(o) wrt o? -30*o**2 Let h(o) be the third derivative of o**6/120 + o**5/15 + 3*o**2. What is the third derivative of h(p) wrt p? 6 Let v(s) be the second derivative of -s**7/280 + s**6/72 - s**3/2 + 6*s. Let k(y) be the second derivative of v(y). Find the third derivative of k(b) wrt b. -18 Find the third derivative of 11*l**6 + 3*l**2 + 9*l**6 - 5*l**2 - 9*l**6 wrt l. 1320*l**3 Let u(v) be the first derivative of 2*v**7/21 + v**3/2 - 2*v + 3. Let h(i) be the first derivative of u(i). What is the second derivative of h(n) wrt n? 80*n**3 Let n(h) = 7*h**3 - h - 4. Let w = -5 + 1. Let s(j) = 6*j**3 - 3. Let t(b) = w*s(b) + 3*n(b). Find the second derivative of t(v) wrt v. -18*v Let n(w) be the third derivative of w**8/20160 + w**6/180 - w**5/30 - 5*w**2. Let y(p) be the third derivative of n(p). Find the first derivative of y(i) wrt i. 2*i Let i = 6 - 12. Let n(f) = 6*f**3 + 5*f - 1. Let l(h) = 7*h**3 + 6*h - 1. Let x(j) = i*n(j) + 5*l(j). What is the derivative of x(w) wrt w? -3*w**2 Let m(l) = -140*l**3 + 109*l**2 + 8. Let k(t) = 93*t**3 - 73*t**2 - 5. Let h(g) = 8*k(g) + 5*m(g). Find the third derivative of h(n) wrt n. 264 Suppose 41 = 2*h - 3*r, 0 = 2*h - 3*h - 5*r + 1. Suppose 0 = -0*p + 4*p - h. Find the third derivative of 4*i**3 - p*i**3 + i**2 + i**6 - 4*i**6 wrt i. -360*i**3 Let w(p) be the first derivative of 3*p**5/20 + p**4/6 - p - 3. Let b(t) be the first derivative of w(t). Find the third derivative of b(f) wrt f. 18 Let z(t) = 31*t**2 - 7*t. Let n(m) = 16*m**2 - 4*m. Let j(k) = 11*n(k) - 6*z(k). Find the second derivative of j(a) wrt a. -20 Let z(p) be the second derivative of -2*p**5/15 + p**3/2 - p**2 - 8*p. Let n(k) be the first derivative of z(k). Differentiate n(v) with respect to v. -16*v Let o = -11 - -11. What is the second derivative of 5*l + 0*l**3 + 3*l**3 + l**3 + o*l wrt l? 24*l Let s(q) = q**3 - 9*q**2 - 15*q. Let d(n) = -4*n**2 + 2*n - 6*n - 3*n. Let i(w) = 9*d(w) - 4*s(w). Find the second derivative of i(y) wrt y. -24*y Let f(k) be the third derivative of -k**8/6720 + k**6/180 - k**5/30 - 5*k**2. Let b(j) be the third derivative of f(j). What is the derivative of b(a) wrt a? -6*a Let q(r) be the second derivative of r**4/6 - 5*r**2/2 + r. Find the first derivative of q(x) wrt x. 4*x Differentiate 2 + 17*g**2 + 3*g**2 + 8 - 6 with respect to g. 40*g Let i(s) = 2*s**3 + 5*s**2 - 8*s - 7. Let j be i(-5). Let p be j/(-20) + (-4)/(-10). Differentiate -p*k - 3 + 3*k + 0 wrt k. -2 Let q be (18/(-8))/(6/16). Let g = q - -8. Find the third derivative of -2*o**2 + o**2 - 2*o**4 + 0*o**g wrt o. -48*o What is the second derivative of -18 + 18 - 11*q + 3*q**2 wrt q? 6 Let d(n) be the first derivative of 3*n**5/5 + n**4/4 - 3*n**2/2 - 2*n - 37. What is the second derivative of d(o) wrt o? 36*o**2 + 6*o Let f(x) be the third derivative of -13*x**4/24 - 43*x**3/6 + 6*x**2 + 2. Find the first derivative of f(v) wrt v. -13 Let i be 5/5 + (-1 - -1). Let y(t) = -3 - 7*t**2 + 3*t**2 + i + 5*t - 1. Let m(r) = -r**2 + r. Let g(a) = -5*m(a) + y(a). What is the derivative of g(p) wrt p? 2*p Let d(r) = 9*r**2 + 4*r + 6. Suppose -2*v - v - 3 = 0. Let i(h) = h**2 + h. Let u(b) = v*d(b) + 4*i(b). What is the derivative of u(x) wrt x? -10*x Find the third derivative of -3 - 257*z - 2*z**2 + 23*z**3 + 257*z wrt z. 138 Let d(s) = 2 + 13*s**2 + 7*s**2 - 25*s**2 - 3*s. Let b(h) = 6*h**2 + 4*h - 3. Let z(k) = 2*b(k) + 3*d(k). Find the second derivative of z(a) wrt a. -6 Suppose -5*w = r + 2 - 0, 3 = 2*r + 3*w. Find the third derivative of r*x**2 + x**5 - 3*x**5 + 2*x**5 + 2*x**5 wrt x. 120*x**2 Let v be 66/(-280) - (-8)/28. Let d(p) be the second derivative of -1/6*p**3 + 0 + 0*p**4 - v*p**5 + 2*p + 0*p**2. Find the second derivative of d(m) wrt m. -6*m Let k(a) = -21*a**3 - 31*a**2. Let d(b) = -63*b**3 - 93*b**2. Let z(l) = 4*d(l) - 11*k(l). Find the third derivative of z(q) wrt q. -126 Let x be (20/(-25))/((-4)/10). Find the second derivative of -4*q + 2*q + q - x*q**3 + 2*q wrt q. -12*q Let f(d) = -45*d**3 - 5*d**2 - 41. Let i(j) = 67*j**3 + 7*j**2 + 62. Let m(h) = -7*f(h) - 5*i(h). What is the first derivative of m(t) wrt t? -60*t**2 Suppose -4*z + 6 = -5*z. Let q = -3 - z. What is the second derivative of -q*g**4 + g - 2*g + 0*g**4 wrt g? -36*g**2 Let y(j) be the first derivative of -1/6*j**6 - j**2 + 0*j**3 + 0*j**4 - 1 + 0*j + 0*j**5. What is the second derivative of y(o) wrt o? -20*o**3 Let h(d) be the first derivative of 10*d**6/3 - 20*d**3/3 - 2. What is the third derivative of h(f) wrt f? 1200*f**2 Let f = 20 + -99/5. Let u(x) be the first derivative of -f*x**5 + 0*x - 1/3*x**3 - 1 + 0*x**2 + 0*x**4. Find the third derivative of u(b) wrt b. -24*b Suppose 0*a - 8 = -4*a. Differentiate -72*s**2 + 64*s**a - 1 + 2 with respect to s. -16*s Let z(t) = t**2 + 10*t + 13. Let l be z(-9). What is the third derivative of 11*k**4 + 7*k**2 - 26*k**l + 19*k**4 wrt k? 96*k What is the second derivative of 9*l**5 - 8*l + 7*l**5 - 27*l**5 wrt l? -220*l**3 Let y(o) = 3*o + 2. Let m(x) = 10*x + 6. Suppose 0 = -u + 3*u - 3*t + 19, 0 = 3*u - t + 18. Let g(c) = u*m(c) + 16*y(c). Differentiate g(w) wrt w. -2 What is the second derivative of 6*i**3 + 31*i + 11*i**3 - 2*i**3 - 12*i wrt i? 90*i Let a(f) = -15*f**2 + 14*f. Let o(m) = 16*m**2 - 15*m. Let r(v) = 6*a(v) + 5*o(v). Find the second derivative of r(g) wrt g. -20 Suppose s + 5 = 12. Let v(h) = -10*h**3 - 7*h + 1. Let n = 3 + -1. Let l(j) = 3*j**3 + 2*j. Let u(p) = n*v(p) + s*l(p). Differentiate u(x) with respect to x. 3*x**2 Let m(a) be the third derivative of 4*a**7/105 - 5*a**4/24 - 3*a**2. Find the second derivative of m(k) wrt k. 96*k**2 Let l(j) = 3*j**2 + j + 4. Let h(m) = -3*m**2 - 2*m - 5. Let a(q) = -4*h(q) - 5*l(q). Find the second derivative of a(r) wrt r. -6 Let d = 8 - 6. What is the first derivative of k**4 - 5*k**4 + 3*k**4 - 9 + d*k**4 wrt k? 4*k**3 Let b(u) be the second derivative of -4*u**3/3 + u**2 + 3*u. Differentiate b(l) with respect to l. -8 Let a(l) be the first derivative of 2*l**4/3 + l**3/3 + 6*l + 2. Let w(x) be the first derivative of a(x). Find the second derivative of w(m) wrt m. 16 Let i(s) be the first derivative of -s**6/3 - s**2 - 21. What is the second derivative of i(d) wrt d? -40*d**3 Let m(u) = 2*u + 8. Suppose p + 2 = -p. Let o(x) = -1. Suppose -5*y + 40 = -9*y. Let s(z) = p*m(z) + y*o(z). Find the first derivative of s(g) wrt g. -2 Let t(c) = -c**2 + 9*c + 2. Let s be t(9). Suppose -2 = -s*h + 6. Find the second derivative of 3*q - 6*q - 6*q**3 + 0*q**3 + h*q**3 wrt q. -12*q Let f(y) be the first derivative of -y**5/30 - y**3/3 + y**2 + 1. Let g(u) be the second derivative of f(u). Find the first derivative of g(z) wrt z. -4*z Let z(h) be the first derivative of h**3/6 - h**2/2 - 3*h + 2. Let d(a) be the first derivative of z(a). What is the derivative of d(j) wrt j? 1 Find the third derivative of z**3 + 6 + 28*z**4 - 56*z**4 + 44*z**4 + z**2 - 2*z**2 wrt z. 384*z + 6 Let k(x) be the third derivative of 4*x**7/105 + x**5/30 - 7*x**2. Find the third derivative of k(y) wrt y. 192*y Let a(g) be the first derivative of -3*g + 1 + 0 + 7*g - 2*g**2. Let p(f) = 2*f - 2. Let m(j) = 3*a(j) + 7*p(j). What is the first derivative of m(o) wrt o? 2 Let r be -1 + -4 + -2 + 4. Let x = 12 + r. What is the second derivative of -x*v**2 + 0*v - 4*v + 9*v**2 - 3*v**5 wrt v? -60*v**3 Suppose 2*v + 7 = -1. Let d = v + 4. What is the derivative of -6*o**3 + 3 + 3*o**3 + d*o**3 wrt o? -9*o**2 What is the
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 4/3, b, 0.3, -2/9 Suppose 6*d = 9 + 21. Suppose 15 = -4*o - v, 2*v - d*v + 15 = 0. Suppose 6 = -0*c - 3*c. Sort o, c, -3 in decreasing order. c, -3, o Let k = 9 + -23. Let i(m) = m**2 + 13*m - 11. Let o be i(k). Let l = -76/105 - -2/35. Put o, l, 0 in increasing order. l, 0, o Let y be 1*(-2 + (8 - 4)). Suppose -y*w + 7 - 3 = 0. Sort w, -3, 5 in descending order. 5, w, -3 Suppose -5*r + 19 = -3*t - 24, 4*r - 41 = 3*t. Put 4, t, 5 in ascending order. t, 4, 5 Let h = 194.4 + -156.4. Put 8, h, 1/4, 0.1 in increasing order. 0.1, 1/4, 8, h Let x = 8.9 - 8. Suppose 0 = -12*p + p - 44. Sort -3/4, x, p in ascending order. p, -3/4, x Let n = -1.1 - -0.1. Let i = 1.175 + -0.775. Put i, -4, n in increasing order. -4, n, i Let q = 35 + -34.7. Let w = 7.03 + -7. Put w, q, -0.1 in decreasing order. q, w, -0.1 Suppose -4*k + 1 = 5*p - 1, k = -3*p + 4. Suppose 1 = -4*x - 3. Let w(g) = 2*g - 12. Let a be w(8). Sort a, x, k. k, x, a Suppose 39 - 3 = 18*u. Suppose 2*h + 0*x = -x - u, -h - 2*x = 4. Put h, 3, -3, 5 in descending order. 5, 3, h, -3 Suppose 0 = 6*v - 3*v - 9. Suppose 0 = 5*y - 2*o + 3*o, y + 5*o + 24 = 0. Let p be (-4*2)/(-8 + 10). Sort p, v, y. p, y, v Let l(s) = 31*s**2 + 1. Let j be l(-1). Let w = j - 20. Let m be 3 + ((-28)/w - 2). Sort m, -4/5, 1 in descending order. 1, -4/5, m Let s = 121/3 - 41. Suppose 5*z - 1 = 14. Let a = -153/88 - -15/11. Sort s, a, z in ascending order. s, a, z Let w = -0.8 - 2.6. Let d = 47.4 - 46. Let t = w + d. Put 0, 4, t in descending order. 4, 0, t Let k be -1*7/((-21)/(-45)). Let u = k + 25. Let v = -10 + u. Put v, -5, -2 in ascending order. -5, -2, v Suppose -4*d = -2*d. Suppose 0 = a - 2*l - 14, 3*a + 4*l - 55 - 37 = d. Suppose -4*t + k - 22 = 3*k, -4*t = 4*k + a. Sort t, 1, -1. t, -1, 1 Let r = -5.9 + 4. Let x = 1451 + -1446. Sort -0.2, r, 0.4, x. r, -0.2, 0.4, x Let q = 6/595 - 619/2380. Sort -28, q, 0.1, 0.5. -28, q, 0.1, 0.5 Let o(y) = 4 - 3 + 2*y + 5 - y**2 + 0. Let v be o(-2). Put 0.2, -2/25, v, 4 in decreasing order. 4, 0.2, -2/25, v Let a be (-25)/510 + (-1)/(-6). Put a, -1/5, 5 in descending order. 5, a, -1/5 Let q be 38/60 + (-12)/(-72). Let k = 3.8 + 0.2. Sort 1/2, -1/5, k, q in increasing order. -1/5, 1/2, q, k Suppose -9*k = -3*k + 6. Let s be (-4)/k - (4 + -6). Put s, -2, 3 in decreasing order. s, 3, -2 Let p be (-78)/13 + 6 + -5. Sort -2, p, 0, 2 in descending order. 2, 0, -2, p Let p = -0.42 - 0.08. Put 0.2, -3, p, -3/7 in decreasing order. 0.2, -3/7, p, -3 Let u = -953 - -953.09. Sort u, 4/13, -2. -2, u, 4/13 Let z = 448 - 451. Let w = 0.4 + -0.8. Sort -1/3, w, z in decreasing order. -1/3, w, z Let i = -421/3 + 140. Sort 1/44, i, -0.4. -0.4, i, 1/44 Let f(j) = -j**2 + j + 3. Let q be f(3). Let w(p) = -30*p + 512. Let a be w(17). Let r be 10/(-6) + 2/3. Put r, a, q in decreasing order. a, r, q Suppose -320 = -14*i + 22*i. Put 3, i, -3 in increasing order. i, -3, 3 Let f be (-1 - -2)/(2/8). Let s be (-6*(-8)/(-36))/(2/3). Sort -5, s, f in increasing order. -5, s, f Let i = -1235 + 1230. Put -3, -3/143, i in decreasing order. -3/143, -3, i Suppose -1 + 6 = 5*v - 5*t, -3*t - 3 = -5*v. Let b be 116/6*27/18. Let u = 34 - b. Put v, 4, u in descending order. u, 4, v Let d = -0.4 - -0.3. Let b = 347 + -342. Sort d, b, 1/3 in descending order. b, 1/3, d Suppose -5*g + 68 = -42. Suppose 0 = -10*z + g + 28. Sort z, 1, -2, 4 in decreasing order. z, 4, 1, -2 Suppose q + 2 = t, -4*q + 2*q = 4*t + 4. Let c be 6/9*(-45)/6. Put 10, q, c in descending order. 10, q, c Let l = 0.291 - 0.491. Let z = -25 + 27.9. Let x = z - 3. Put -4/3, x, l in decreasing order. x, l, -4/3 Let j = 13 - 9. Let p = j + -2. Let h = 12.1 - 14.1. Sort 3, h, p in increasing order. h, p, 3 Suppose -3*t + 15 = 3*u, -u + 4*t + 0 + 5 = 0. Let o(a) = a - 4. Let l be o(u). Sort 0, l, 3, 5 in descending order. 5, 3, l, 0 Let n = 4/3 - 26/15. Let x = -0.73 - -0.73. Suppose 2*j = -j + 33. Put j, n, x in descending order. j, x, n Suppose 10 = i + 5. Suppose -i*c = -c. Put 2, -2, c in decreasing order. 2, c, -2 Let m = 12.9 - 12.775. Let y = -0.125 + m. Let r = -2/385 - 736/6545. Sort r, y, -4 in increasing order. -4, r, y Suppose z + 5*s - 57 = -4, -5*z - s = -145. Let b be 7/z*(16 + -1). Let a = 13/4 - b. Sort 3, -1, a in ascending order. -1, a, 3 Let q = 442 + -438. Put 2, -2/3, q, -14 in decreasing order. q, 2, -2/3, -14 Let t = -21.7 + 24. Let v = t + -13.3. Sort 0.2, v, 2/7 in increasing order. v, 0.2, 2/7 Let s be (-1*2)/((30 - 34) + (-32)/(-5)). Let r(h) = -h**2 + 3*h + 1. Let j be r(4). Sort 2, s, j. j, s, 2 Suppose 0 = 3*a + 9, -3*t = 5*a + 9. Sort -2, 78, t, -5 in decreasing order. 78, t, -2, -5 Let a(h) = -h**2 + 10*h + 23. Let u be a(12). Let t be (-44)/(-77)*(-14)/4. Sort t, u, 1, -5 in descending order. 1, u, t, -5 Let s = 6.4 + -159.4. Let h = 123.8 + s. Let u = -29 - h. Put -3/2, -5, u in descending order. u, -3/2, -5 Let g(r) = r**3 - 8*r**2 + 5*r + 16. Let q be g(7). Suppose p - 2 - q = 0. Put p, -5, 0 in decreasing order. p, 0, -5 Let b = -8 - -39/5. Let i = -15 - -20. Suppose i*r - 16 = r. Put 3, r, b in decreasing order. r, 3, b Let a = -118 - -123. Put 0.02, a, 1 in descending order. a, 1, 0.02 Let j = 5.11 + -0.11. Let g = 269 + -114. Let x = g - 154.6. Sort 1/3, j, x. 1/3, x, j Suppose -2*k - 55 + 5 = 0. Let m = k + 22. Sort -17, m, 1. -17, m, 1 Let t(b) = -b**3 + 6*b**2 + 8*b + 7. Let o be t(7). Suppose o = -5*x - 1. Put x, 0, 4 in decreasing order. 4, 0, x Let i be 24/60 + 96/10. Suppose o - i = -1. Suppose 2*r + 3*b + o = 0, -4*r + b - 1 = 10. Put r, 1, 4 in descending order. 4, 1, r Suppose 48 = 7*f - 4*f. Sort -0.2, 2/3, f, 2/11 in ascending order. -0.2, 2/11, 2/3, f Suppose -20 = -5*h - 160. Let p = h + 23. Suppose -8 = -2*n + 6*n. Sort -1, n, p. p, n, -1 Let h(c) = -3*c + 2. Let g = -15 + 19. Let n be h(g). Let s be (-12)/20*n/2. Sort -2, -1, s in increasing order. -2, -1, s Suppose 9*x = x - 10*x. Put x, 7, -7 in descending order. 7, x, -7 Let y(z) = 9*z**2 + 17*z. Let p be y(-2). Put -3, p, 1, -4 in decreasing order. p, 1, -3, -4 Let j = 75 + -109. Let u = j - -34.21. Let o = 0.09 + u. Sort -5/4, -1/7, o in ascending order. -5/4, -1/7, o Let z = 2 + -2. Let m = 0 + z. Suppose 175*q - 182*q = -21. Sort q, 4, m in descending order. 4, q, m Let p = 23.5 + -22.5. Sort -4, p, -2.2 in increasing order. -4, -2.2, p Let a(j) = 16*j. Let b be a(5). Let t = 85 - b. Put 11, t, -2 in descending order. 11, t, -2 Let h(g) = -3*g**2 + 28*g - 4. Let c be h(9). Put 3, -95, c in decreasing order. c, 3, -95 Suppose 5*l = -s - 4, -2*s - 4*l + 43 = 3*s. Suppose 0 = -21*u + s*u + 40. Sort -1/4, u, 3, -3. -3, -1/4, 3, u Let q = -26 - -26. Let p = -134 - -138. Sort q, 2, -1, p in descending order. p, 2, q, -1 Let v = -3 - -12. Suppose 0 = -v*n - 3*n + 48. Put n, -4, 5, 3 in decreasing order. 5, n, 3, -4 Let z(q) = q**2 - 18*q - 20. Let j be z(19). Let l(v) = -v**3 + 12*v**2 - 31*v - 6. Let m be l(8). Put j, m, -4 in descending order. m, j, -4 Let t = -12 - -12.12. Let c = t + -1.32. Let g = c + 0.8. Sort 1/3, g, -1 in decreasing order. 1/3, g, -1 Let z = 931.2 - 931. Put -1/14, z, -2/13 in decreasing order. z, -1/14, -2/13 Let f = 35.8 - 34.8. Let p = 1 - 1.02. Let u = 724/4875 + 2/375. Sort u, f, p in descending order. f, u, p Let l = -32/17 - -175/102. Sort 0, -0.1, -0.149, l. l, -0.149, -0.1, 0 Let l = -3 - -3. Let f = -418 - -437.3. Let h = f - 19. Sort l, h, -3. -3, l, h Let h = 484 + -483. Sort -1/8, h, -3/2. -3/2, -1/8, h Let j = -342 + 326.3. Let t = j - -15.9. Put 0.4, t, -4 in decreasing order. 0.4, t, -4 Let a be 1/3 - 48/(-18). Suppose -x + a*x + 8 = 0. Sort -1, 5, x. x, -1, 5 Let y be 11 - -1*(2 - 4). Let w = 10 - y. Suppose -7*c + 4*c = -5*q + 1, -7 = -3*q + 5*c. Put w, 4, q in increasing order. q, w, 4 Suppose 4*y + 10 = 2*y. Let h be 0/y + 0 - 2. Let l(r) = -r**3 + 6*r**2 + 8*r - 2. Let d be l(7). Sort h, d, 2. h, 2, d Let r = 25.4 - 25.3. Put 2/3, r, -0.02 in increasing order. -0.02, r, 2/3 Let z = -669 + 680.04. Let j = 11 - z. Let u = -0.16 + j. Sort u, -0.1, 4. u, -0.1, 4 Suppose 0 = -13*o - 511 + 4970. Suppose -11*l - 603 = o. Sort l, 1, -2, 3. l, -2, 1, 3 Let q = -508 + 498. Sort 7, q, 2/11. q, 2/11, 7 Let d(l) = 4*l**3 + 2*l**2 - 2*l + 2. Let p(u) = u**2 + 1. Let j(i) = d(i) - 3*p(i). Let q =
{ "pile_set_name": "DM Mathematics" }
late -19736440 divided by -7. 19736440/7 Divide 679792329 by 13329. 51001 Divide 976039 by 165. 976039/165 -27305390 divided by -70 390077 What is -166322850 divided by 6? -27720475 Divide 88153140 by 8815314. 10 15660004 divided by 1 15660004 Calculate 5622309 divided by -133. -42273 Divide -6669 by 2424. -2223/808 Divide -6773072 by 3386536. -2 Calculate 21388 divided by 6546. 10694/3273 What is 5480640 divided by -13840? -396 4 divided by -30214128 -1/7553532 Divide 3208060 by 4. 802015 Divide 392166968 by -8. -49020871 209 divided by 329208 19/29928 Divide -4 by 12740694. -2/6370347 Divide 2847 by -25910. -2847/25910 Calculate -203757376 divided by 101878688. -2 -172386948 divided by -484233 356 Calculate 3867780 divided by -187. -3867780/187 3346 divided by -45851 -3346/45851 149282 divided by 22 74641/11 Divide -208974150 by 1850. -112959 Calculate 7192451 divided by -7. -1027493 Calculate -14884674 divided by 5. -14884674/5 -12288 divided by 54789 -4096/18263 11909571 divided by -3969857 -3 Divide 2088937 by 2. 2088937/2 What is -193 divided by 37502? -193/37502 Divide 4913954 by 2456977. 2 What is -645343 divided by 60? -645343/60 What is 1 divided by 11431761? 1/11431761 Divide 208447998 by -957. -217814 Divide 966696521 by 70423. 13727 Divide -7681 by 265. -7681/265 What is -225 divided by -120881? 225/120881 Divide 133686589 by 3. 133686589/3 What is -33740 divided by 4820? -7 -719 divided by -108574 719/108574 Divide 18278754 by -9139377. -2 Divide -117470830 by -2999. 39170 Divide 76965 by 1490. 15393/298 What is 125081346 divided by 3? 41693782 5164 divided by -5163 -5164/5163 Calculate 300383 divided by 4. 300383/4 -4 divided by 916465 -4/916465 Divide 73136742 by 3. 24378914 -25964274 divided by 27 -8654758/9 -68 divided by -403803 68/403803 Divide -7593036 by 69. -110044 Divide -3 by 23296515. -1/7765505 Calculate 20740 divided by -118. -10370/59 Calculate 379909883 divided by -19995257. -19 What is 158712092 divided by -2932? -54131 Calculate 302 divided by -220343. -302/220343 9 divided by -482505 -3/160835 Calculate 1047326660 divided by 2. 523663330 -274855 divided by 18 -274855/18 3321336 divided by -4 -830334 Calculate -30585273 divided by 4. -30585273/4 What is -198433814 divided by -1? 198433814 Calculate 64416258 divided by -6. -10736043 Divide 1037335 by -5. -207467 Divide 436311986 by 19832363. 22 What is -845162 divided by -4? 422581/2 Divide 5539408 by 49459. 112 What is 765349 divided by -1? -765349 What is 375354 divided by 14? 26811 Divide 35431955 by 601. 58955 Divide -20 by 11036863. -20/11036863 Divide -421189 by -7. 421189/7 Divide 519629208 by 136. 3820803 Divide 15934920 by 482. 33060 Calculate 46438691 divided by -6191. -7501 What is 5892114 divided by 6? 982019 3977610 divided by 28210 141 What is -184297672 divided by -146152? 1261 -15 divided by 1079598 -5/359866 Divide -112 by -300980. 28/75245 Calculate -4948256 divided by 7648. -647 Divide 6996760 by 2110. 3316 Calculate -18995838 divided by -6331946. 3 Divide 43072436 by 452. 95293 Divide -4177978 by -2088989. 2 Divide 17816049 by 537. 33177 Calculate -202608742 divided by 334. -606613 What is 77069800 divided by -905? -85160 Calculate 27708460 divided by 2770846. 10 Divide 3 by 95779848. 1/31926616 Divide -633 by -13570. 633/13570 -59989 divided by -75 59989/75 Divide -69089157 by -53. 1303569 Divide -95101865 by -1. 95101865 Divide 6141330 by -6141330. -1 -4762 divided by -458 2381/229 What is 33632816 divided by -1201172? -28 3 divided by -729559 -3/729559 -216 divided by -33001 216/33001 Divide -8 by 2552088. -1/319011 Calculate 120198466 divided by 3019. 39814 98159285 divided by 161 609685 Calculate 9865975 divided by -1409425. -7 Calculate 18290454 divided by -2919. -6266 Divide -43825772 by -21912886. 2 What is -132 divided by 85257? -44/28419 Calculate 3838641 divided by 12. 1279547/4 -118304 divided by 48 -7394/3 Calculate 1134 divided by 31892. 81/2278 What is -5578171205 divided by 5? -1115634241 Calculate 14452184 divided by 446. 32404 Calculate 77178 divided by -3247. -77178/3247 What is 155581696 divided by -2430964? -64 What is 78010002 divided by -8667778? -9 -170078 divided by -5 170078/5 Divide -6559922 by -6559922. 1 Calculate -133995778 divided by 1425487. -94 Divide -270006408 by 2. -135003204 What is -91432830 divided by 6? -15238805 What is 25 divided by -386045? -5/77209 12118884 divided by 159459 76 Divide -23493964 by 12211. -1924 Calculate -137704275 divided by -27540855. 5 Calculate -46320195 divided by -9264039. 5 0 divided by 4724890 0 -739 divided by 4119 -739/4119 Calculate -81897876 divided by -3. 27299292 What is -725192 divided by -19084? 38 -5 divided by 142342075 -1/28468415 88 divided by -545346 -44/272673 Calculate 42 divided by -124103. -6/17729 Divide 36202740 by 70. 517182 Divide -35881944 by -7. 5125992 What is -9390536 divided by -4695268? 2 Calculate -1365624 divided by 51. -455208/17 What is -125805 divided by 1370? -25161/274 What is -17822 divided by 2544? -8911/1272 Calculate -32201172 divided by 32201172. -1 Calculate 3495 divided by -614. -3495/614 Calculate 293205234 divided by -12666. -23149 Divide 5411 by 68589. 5411/68589 Calculate -14761107 divided by -1101. 13407 Divide -10 by 9256509. -10/9256509 Divide -31284144 by -11472. 2727 Calculate -6608218 divided by 17299. -382 Calculate -5876286 divided by -39. 150674 Calculate 53905 divided by 165. 10781/33 251 divided by 1078093 251/1078093 Divide 16481829 by -2354547. -7 Calculate -11437713 divided by 219. -52227 -1627240 divided by -95720 17 What is -114015433 divided by 1? -114015433 Divide 10 by 18532780. 1/1853278 What is 16608675 divided by -9? -5536225/3 Divide 102490 by -6595. -20498/1319 Divide -132 by 25353. -44/8451 Calculate 865240776 divided by 2230002. 388 Divide 26 by -18626. -13/9313 643341825 divided by 795 809235 Divide -268226405 by 53645281. -5 487802 divided by -304 -243901/152 -9590940 divided by 3196980 -3 Divide -3 by -5118379. 3/5118379 What is -5462450 divided by -5462450? 1 Divide 93192924 by 7557. 12332 What is -532472085 divided by -5? 106494417 Calculate -3458206 divided by -8. 1729103/4 Divide 4 by 11982682. 2/5991341 1 divided by 108227 1/108227 34 divided by -45570482 -17/22785241 Divide -207923 by -2. 207923/2 Calculate 1248485 divided by 1248485. 1 Calculate -4878033 divided by -3. 1626011 What is -11153208 divided by 1992? -5599 Divide 7915648 by -142. -55744 What is -5 divided by 2817036? -5/2817036 Calculate -102013358 divided by 1758851. -58 Calculate -723878930 divided by -361939465. 2 145596330 divided by -10455 -13926 3 divided by -907805 -3/907805 Calculate 108518566 divided by -1703. -63722 Divide 3076515 by 236655. 13 What is 140 divided by 274066? 70/137033 Divide 0 by -247198337. 0 Divide 403704239 by -4. -403704239/4 Calculate -17553 divided by 1072. -17553/1072 Calculate -6 divided by 5183961. -2/1727987 Calculate -265193736 divided by 8. -33149217 What is -1612987 divided by 35? -1612987/35 Divide 65 by 776519. 65/776519 Calculate -899183 divided by -167. 899183/167 What is -770311116 divided by -14534172? 53 What is 28800784 divided by 976? 29509 Calculate -27355737 divided by -6411. 4267 Calculate -34498884 divided by -84. 410701 Divide -37 by 110805. -37/110805 Calculate -14054 divided by -7750. 7027/3875 Divide -42392 by -258. 21196/129 -15123 divided by -251 15123/251 Calculate -17286510 divided by 8643255. -2 88385964 divided by -22096491 -4 Calculate 47 divided by -92237. -47/92237 Divide 20608 by -34. -10304/17 Calculate 85668 divided by -103. -85668/103 Divide 5 by -1790215. -1/358043 35722861 divided by 32387 1103 0 divided by 307575 0 Calculate 336 divided by -1199642. -168/599821 138760036 divided by -4 -34690009 Calculate 372880 divided by 316. 1180 What is 127395268 divided by 182? 699974 Divide -325040495 by -5000623. 65 What is -1479 divided by -3965? 1479/3965 What is -125418 divided by 944? -62709/472 -10393046 divided by -2 5196523 Divide 59089583 by -7. -8441369 -339001598 divided by -13 26077046 Calculate -27890446 divided by -27890446. 1 Divide 4039424 by -63116. -64 What is -6496098 divided by -1082683? 6 What is 61123554 divided by 20253? 3018 -11 divided by 4090233
{ "pile_set_name": "DM Mathematics" }
572, 1131, 1956? 3095 What comes next: 12699515, 12699521, 12699537, 12699569, 12699623, 12699705, 12699821? 12699977 What is next in 1174046, 2348088, 3522128, 4696166, 5870202, 7044236? 8218268 What is next in -21, -12, -17, -42, -93, -176, -297, -462? -677 What is next in 91845, 183692, 275539, 367386, 459233? 551080 What is next in 7798, 15661, 23524, 31387? 39250 What is the next term in 84, 91, 128, 219, 388, 659? 1056 What comes next: -5781, -11552, -17317, -23076, -28829, -34576? -40317 What comes next: 339922, 339923, 339924? 339925 What comes next: -247, -78, 213, 632, 1185? 1878 What comes next: -231, -1028, -2357, -4218, -6611, -9536, -12993? -16982 What is the next term in 1456, 2000, 2546, 3094, 3644, 4196, 4750? 5306 What is the next term in -2311, -2271, -2229, -2185, -2139? -2091 What is the next term in 760, 2968, 6666, 11854? 18532 What is next in 80, 155, 226, 293, 356, 415, 470? 521 What is the next term in -562, -1046, -1530, -2014, -2498, -2982? -3466 What is next in 3467, 6924, 10373, 13814? 17247 What comes next: -345, -416, -539, -720, -965, -1280, -1671? -2144 What is the next term in 1028, 994, 920, 788, 580, 278, -136, -680? -1372 What comes next: 1371, 1446, 1543, 1674, 1851? 2086 What is next in -82903, -82899, -82893, -82885, -82875, -82863? -82849 What is next in -257, -168, -77, 16, 111, 208, 307? 408 What is next in 929949, 929945, 929941, 929937, 929933? 929929 What is next in 3990, 7964, 11950, 15954, 19982, 24040, 28134? 32270 What is next in 34, 100, 264, 586, 1126, 1944, 3100, 4654? 6666 What is next in -44, -153, -266, -329, -288, -89, 322, 999? 1996 What is next in 9888, 19775, 29664, 39555, 49448? 59343 What is the next term in 167, 961, 2381, 4427, 7099? 10397 What is the next term in -5, -138, -401, -794? -1317 What is the next term in -875, -1077, -1413, -1883? -2487 What comes next: 89, 226, 427, 692, 1021, 1414? 1871 What is the next term in 78, 352, 858, 1638, 2734, 4188, 6042? 8338 What is next in -164, -576, -1264, -2228, -3468, -4984? -6776 What comes next: -166, -194, -222, -250, -278, -306? -334 What comes next: 319660, 319662, 319664, 319666, 319668? 319670 What is the next term in 65, 162, 321, 542? 825 What comes next: -7192, -7201, -7210? -7219 What comes next: 233, 363, 491, 617? 741 What comes next: -108, -44, 50, 186, 376, 632? 966 What is next in -1547861, -1547866, -1547871, -1547876, -1547881? -1547886 What is next in 2368, 2292, 2160, 1966, 1704, 1368? 952 What comes next: -322, -755, -1478, -2497, -3818, -5447, -7390, -9653? -12242 What comes next: -5160, -20628, -46406, -82494? -128892 What is next in -8200, -16407, -24618, -32833, -41052, -49275, -57502? -65733 What is the next term in -963, -1928, -2885, -3828, -4751? -5648 What comes next: 6675, 13336, 20001, 26670, 33343? 40020 What is the next term in -667, -900, -1283, -1822, -2523, -3392, -4435, -5658? -7067 What comes next: -106, -562, -1800, -4210, -8182? -14106 What is next in 22240, 89113, 200566, 356599, 557212, 802405, 1092178? 1426531 What is the next term in -55, 270, 609, 968, 1353? 1770 What is next in -124255, -248516, -372777? -497038 What is next in -46734, -93472, -140210, -186948? -233686 What is next in -776, -3047, -6828, -12113, -18896? -27171 What comes next: -25209, -25089, -24881, -24579, -24177? -23669 What comes next: -6, -110, -330, -666? -1118 What is next in 21112, 21110, 21106, 21100? 21092 What comes next: -638, -1248, -1846, -2426, -2982, -3508, -3998? -4446 What is the next term in -1122223, -1122227, -1122233, -1122241, -1122251? -1122263 What comes next: -99818, -399271, -898358, -1597079, -2495434, -3593423? -4891046 What is the next term in 197, 626, 1339, 2336, 3617, 5182, 7031? 9164 What is next in -408, -2097, -4922, -8889, -14004, -20273, -27702? -36297 What is the next term in 110637, 221275, 331927, 442599, 553297, 664027? 774795 What is next in 173143, 173158, 173191, 173248, 173335? 173458 What is next in -4439612, -4439620, -4439642, -4439684, -4439752? -4439852 What is the next term in -722, -2999, -6794, -12107, -18938, -27287, -37154? -48539 What is the next term in -358, -1803, -4216, -7597, -11946? -17263 What comes next: -18, -29, 28, 183, 466? 907 What comes next: -577, -2163, -4763, -8377, -13005? -18647 What is the next term in 3254, 6508, 9762? 13016 What is the next term in 193, 339, 485, 625, 753, 863? 949 What is next in -51026, -50975, -50924, -50873, -50822? -50771 What comes next: -188, -319, -402, -437, -424? -363 What comes next: -18653, -18671, -18693, -18719? -18749 What is the next term in -4388, -4531, -4674, -4817, -4960? -5103 What comes next: 613, 442, -35, -974, -2531, -4862? -8123 What comes next: -9608, -9626, -9654, -9692, -9740, -9798, -9866? -9944 What comes next: 206, 439, 672, 905, 1138? 1371 What is the next term in -7658, -7415, -7174, -6935, -6698, -6463? -6230 What is the next term in 159, 405, 813, 1383, 2115? 3009 What comes next: -28, -557, -1986, -4765, -9344? -16173 What is the next term in -1689, -6814, -15355, -27312? -42685 What comes next: 843371, 843374, 843379, 843386? 843395 What is next in -1413, -1420, -1427? -1434 What is next in 224, 428, 632? 836 What is next in -309, -582, -857, -1134, -1413, -1694, -1977? -2262 What comes next: 439, 441, 443, 445, 447? 449 What is next in -49825, -49821, -49817, -49813, -49809? -49805 What comes next: -118, -126, -134? -142 What is the next term in -26160, -26167, -26174? -26181 What comes next: 971901, 971899, 971895, 971889? 971881 What comes next: -266, -817, -2066, -4361, -8050, -13481, -21002? -30961 What is the next term in 59, 49, 33, 11? -17 What is next in -536, -1101, -1666, -2231, -2796, -3361? -3926 What is the next term in -111, -263, -381, -447, -443? -351 What comes next: -35, -293, -1007, -2405, -4715, -8165? -12983 What is next in 36, 67, 96, 123, 148? 171 What is next in 2161, 1992, 1823, 1654, 1485? 1316 What comes next: -5387, -10889, -16391, -21893? -27395 What is the next term in -56213, -56217, -56223, -56231, -56241, -56253? -56267 What comes next: 28580, 57153, 85716, 114269, 142812, 171345? 199868 What comes next: -185, -164, -143, -122, -101? -80 What is next in -7352, -14707, -22062? -29417 What is next in 63, -95, -253, -411, -569? -727 What is next in -346, -181, -18, 143, 302, 459, 614? 767 What comes next: -2322, -2273, -2224, -2175? -2126 What is the next term in 3755, 3757, 3759, 3761, 3763? 3765 What is next in -123000, -245997, -368994, -491991, -614988, -737985? -860982 What is next in 171, 404, 631, 852, 1067, 1276, 1479? 1676 What is the next term in 282, 556, 824, 1080, 1318? 1532 What comes next: 1593, 3214, 4835, 6456, 8077, 9698? 11319 What is the next term in 474, 3969, 13454, 31923, 62370, 107789, 171174? 255519 What comes next: -337, -74, 195, 476, 775, 1098? 1451 What comes next: -666, -1667, -3346, -5709, -8762, -12511, -16962? -22121 What is next in -96377, -96383, -96391, -96401, -96413, -96427, -96443? -96461 What is next in -2212, -2150, -2088, -2026, -1964, -1902? -1840 What comes next: -27964, -55910, -83850, -111784, -139712? -167634 What is next in -97822, -195638, -293444, -391234, -489002? -586742 What is the next term in -204, -792, -1760, -3102, -4812, -6884, -9312? -12090 What is next in -1300, -1298, -1292, -1282, -1268? -1250 What is the next term in -324, -1669, -4038, -7431, -11848, -17289? -23754 What comes next: 10422, 20849, 31280, 41715, 52154, 62597? 73044 What is the next term in 649, 729, 811, 895, 981, 1069, 1159? 1251 What is next in -30990, -61981, -92970, -123957, -154942, -185925? -216906 What is the next term in -3016, -3004, -2992, -2980? -2968 What is the next term in -1920, -7418, -16582, -29412, -45908? -66070 What is next in 9351, 18655, 27959, 37263, 46567? 55871 What is next in -105, -561, -1017? -1473 What is the next term in -4433, -8887, -13341, -17795? -22249 What is next in 24, 11, -268, -1023, -2464, -4801? -8244 What is next in 92, 176, 242, 290, 320? 332 What is the next term in -410309, -410312, -410317, -410324? -410333 What is the next term in 2637, 2636, 2633, 2628, 2621, 2612? 2601 What is the next term in 22225, 22230, 22249, 22288, 22353, 22450? 22585 What is next in -86876, -86868, -86
{ "pile_set_name": "DM Mathematics" }
fourth biggest value? (a) -50/7 (b) 2/5 (c) 5 (d) 7.91 a Which is the smallest value? (a) -0.1 (b) 7.1 (c) -53560 c Which is the fifth smallest value? (a) -1075 (b) 1/4 (c) 5 (d) -3 (e) -7 (f) 39 (g) -5 b Which is the biggest value? (a) 2.230025 (b) 16 (c) 1/2 b What is the fourth biggest value in 3, 1, -349968, -2? -349968 What is the fourth biggest value in -0.4, -1/15, 1/6, 0, -4/5, 0.3, 5/534? 0 What is the second biggest value in 0.1, -2/7, 1/21, -11401? 1/21 Which is the fourth smallest value? (a) -1570 (b) 1/9 (c) 3 (d) -0.3 (e) 2.7 e Which is the smallest value? (a) 26 (b) -3 (c) 2/19 (d) 0.3 (e) -19 e Which is the third smallest value? (a) 11 (b) 5 (c) 412 (d) -14.94 a What is the biggest value in 2/7, -60, 2/45, 80270? 80270 What is the second smallest value in 1579/4, -1/6, -116.2? -1/6 Which is the biggest value? (a) -0.03794 (b) -0.5 (c) 66 (d) 0.04 c Which is the third smallest value? (a) -226 (b) -164.4 (c) 1/3 c What is the fourth smallest value in 0.2, -13, 17, -2/7, -26, -59, -0.1? -2/7 What is the third smallest value in -134866, -0.1, 0.21, -4, 0.5? -0.1 What is the fourth biggest value in -1/71846, -3/5, 0.1, -9, -2/11? -3/5 What is the biggest value in 5, 3, 2/41, -1552, -4, -1/12, -2/17? 5 What is the fourth biggest value in -8, -2, -3, -176/3, -64? -176/3 Which is the fourth smallest value? (a) -0.197 (b) 0.3 (c) -4 (d) -2 (e) 3/4 (f) -1 (g) 0.2 a Which is the third biggest value? (a) 8/3 (b) 2 (c) 11846 b What is the fifth biggest value in 7, 0, -0.016, 5, 1, -4/5? -0.016 What is the third smallest value in 16888/7, 1, 59/2? 16888/7 What is the fourth biggest value in 1, -49, 5746, -9? -49 What is the third smallest value in -2.7, -204, 11? 11 What is the second smallest value in -20/257, -20, -0.4, -5? -5 Which is the sixth smallest value? (a) 2 (b) 16 (c) 24.6 (d) -4 (e) -0.5 (f) -4/9 c What is the smallest value in -4/11, 2, -330.7, 3.18, -6/7, -3, 0.3? -330.7 Which is the smallest value? (a) 3 (b) -6 (c) -22 (d) -206 (e) 6/11 d What is the biggest value in -27, -40, -1/3, -1/10, -25/3, 3? 3 What is the second smallest value in -263, -99631, 2? -263 Which is the fourth biggest value? (a) 9/31 (b) 2 (c) -283/4 (d) 36 c Which is the third biggest value? (a) 304 (b) 0.4 (c) -893 (d) 1 (e) 2 d Which is the biggest value? (a) -5 (b) -6345 (c) 5/323 c Which is the fourth biggest value? (a) 3.233 (b) -1 (c) 2 (d) 35 (e) 1/4 (f) -0.3 (g) -9 e What is the second smallest value in -4/14045, -11, -1? -1 What is the smallest value in 3/7, 2/11, 0.719984? 2/11 Which is the biggest value? (a) -4.551 (b) 3 (c) -140 b What is the fifth smallest value in -8.7, -2, -2/7, 26, -250? 26 Which is the fourth biggest value? (a) -0.09 (b) 2.6 (c) 37 (d) -49 (e) 5 a What is the biggest value in -2/5, -683, -1, -2.1, 2? 2 What is the third biggest value in -980/3, -1091, -0.5, -17, 0? -17 Which is the third biggest value? (a) 6/11 (b) -4.855 (c) -4435 c Which is the second smallest value? (a) -20 (b) -0.09 (c) -3/8 (d) 173 (e) -0.7 e What is the third biggest value in -25916681, 0.5, -2/15? -25916681 Which is the smallest value? (a) 8 (b) 294 (c) 1 (d) 22586 c Which is the fourth biggest value? (a) 6 (b) -6 (c) 0.1 (d) -2 (e) -18 (f) -32 (g) -3 g Which is the smallest value? (a) 3/7 (b) -290 (c) 6/13 (d) 0 (e) -2 (f) 2 b What is the fourth smallest value in 0, 1/2, 1647, 3, -0.06, -0.1, 2? 1/2 What is the sixth smallest value in -3.5, 122, -1, -2, -0.5, 9, 3/7? 9 What is the seventh smallest value in -0.3, 6, 0.03, 1/4, 4, 493, 3/13? 493 What is the third smallest value in -3, 0.1, 8/9, 53, 0.2, 0.075, -0.12? 0.075 Which is the biggest value? (a) 163 (b) 69 (c) -39 a Which is the third smallest value? (a) 40 (b) 1/3 (c) 0.5 (d) -10179 (e) -2/29 (f) -0.3 e What is the second smallest value in 445, 3, 39? 39 Which is the biggest value? (a) -0.12 (b) -0.0238 (c) -4 (d) -1157/4 b What is the fourth biggest value in 1/2, -0.06, -5, 3/58420? -5 What is the second smallest value in 2722, -0.26, 183.1? 183.1 Which is the second biggest value? (a) -4 (b) -3 (c) -1/3 (d) 43.12 (e) -2 c Which is the sixth smallest value? (a) 12 (b) 1/233 (c) 3/5 (d) -2 (e) -0.5 (f) -104 a What is the fifth smallest value in 161/2, -3, 5, -0.1, 1/4, -1/1199? 5 What is the second smallest value in 1, 2/15, 62, -0.536, -3, -23? -3 Which is the second biggest value? (a) 2 (b) 5628396 (c) 0 a What is the biggest value in -5, 2.2, -0.5, 2150, 7, -2, -0.7? 2150 Which is the fifth smallest value? (a) 27 (b) 2/193 (c) -1 (d) -2 (e) -3 (f) -2/101 b What is the third smallest value in 11, 2/5, 0.028, -4/9, 13, -5, 2/13? 0.028 What is the second smallest value in -0.3852, 89687, 1/5? 1/5 Which is the smallest value? (a) -2 (b) 338 (c) 4 (d) 4157 a Which is the second biggest value? (a) 0.2 (b) 2 (c) -558 (d) 3/4 (e) 17 (f) 2/7 (g) 9.6 g Which is the smallest value? (a) -9729 (b) -7/8 (c) 0 a What is the fourth biggest value in -60, -0.2, 4, 2, 1/4, 48, 0.3? 0.3 What is the third smallest value in 1/4, 4, -2/21, 1, -4, -2208, -0.4? -0.4 What is the fifth biggest value in -2, 26, 5, -21, -4, -1596? -21 Which is the seventh biggest value? (a) 36 (b) -2/13 (c) 0.2 (d) 5 (e) -2 (f) 0.5 (g) 227 e What is the second biggest value in 100.6, 0, -1/239, 2/121? 2/121 Which is the fourth biggest value? (a) 2 (b) 1 (c) -403 (d) 5/9 (e) 11/4 d What is the third biggest value in 95.039, -2.84, -1/3? -2.84 Which is the second biggest value? (a) 1.5 (b) -0.5 (c) -0.0206 (d) -31 c What is the second smallest value in -1/349, -1/6, 0.3, -139840? -1/6 What is the second smallest value in 0.4, 0.11, -0.4, 4493, -0.07? -0.07 What is the sixth smallest value in -8, -7.6, 1/5, 0.5, 3/4, 410.8? 410.8 What is the smallest value in 132, -61629, 5? -61629 What is the second biggest value in 4, 42, -1/44959? 4 Which is the second smallest value? (a) -1/4 (b) 11 (c) 1 (d) 0.2 (e) -39.9 (f) -0.5 f What is the biggest value in 0.57, -20580, -7? 0.57 Which is the smallest value? (a) 0.2 (b) -115 (c) 215 b What is the fourth smallest value in -3, -0.5, 0, -33, -16526? -0.5 What is the second biggest value in -100/3, -1/4, -246, 3/37? -1/4 Which is the biggest value? (a) 0.023 (b) 6/19 (c) 0.2 (d) 8825 d What is the third smallest value in 1/4364, 305, 0.4? 305 What is the fifth biggest value in -17, 47, -1/2, -2/13, -4, -128? -17 Which is the sixth smallest value? (a) -3/8 (b) 4 (c) 787 (d) -0.3 (e) 5 (f) 2/8489 c Which is the fourth biggest value? (a) 28329 (b) -5 (c) -2/45 (d) -1/3 b Which is the sixth smallest value? (a) 2662 (b) -2/9 (c) 53 (d) 19/2 (e) 3/13 (f) 0.4 a Which is the smallest value? (a) -560 (b) -8.77 (c) 1/10 (d) 4/7 (e) -24 a Which is the third biggest value? (a) -24934 (b) -2/9 (c) 3 (d) -0.4 (e) 2/3 (f) -1/4 (g) -3/5 b What is the second biggest value in -46.8, 3541, 0.07? 0.07 Which is the smallest value? (a) 4280 (b) 2/5 (c) -132 c Which is the fifth biggest value? (a) -0.3 (b) 5 (c) 0 (d) -2/87 (e) 0.10726 (f) 2/19 d What is the biggest value in -494, 2, 10309, -5? 10309 Which is the sixth biggest value? (a) -4 (b) 3/4 (c) 0.3 (d) -11 (e) 0 (f) 4 (g) 9 a Which is the third biggest value? (a) -6 (b) -2 (c) 4 (d) 3 (e) -1 (f) -183/2 e What is the fourth biggest value in -3/65, 2/269, -0.23, -3, 0, -5? -0.23 What is the sixth smallest value in -9107, 1/2, -1, -3, -4, -5, -1/2? -1/2 Which is the second smallest value? (a) 5.6 (b) 198.89 (c) -2/441 a What is the smallest value in -1/23, 44.309, 0.1? -1/23 What is the fourth smallest value in 2/9, -1, 3/7, 117, 4/55, 3, -2/19? 2/9 Which is the biggest value? (a) 1 (b) 3/2 (c) -3 (d) 5 (e) -39 (f) -12 d What is the smallest value in -0.3, -1/188871, -25? -25 What is the third biggest value in 0.01, -2/685, -3/4, -0.02, 3? -2/685 Which is the biggest value? (a) -2/7 (b) 0 (c) 520975 c Which is the fifth biggest value? (a) -4 (b) 689 (c) 3 (d) -2/7 (e) -3 (f) 1/2 (g) 3.5 d What is the third biggest value in 0.1, 0.2, -4, -23, -786032, -1/10? -1/10 Which is the second smallest value? (a) 1 (
{ "pile_set_name": "DM Mathematics" }
= 5. Let g be (f/(-15))/((-8)/20). Which is the biggest value? (a) g (b) -5 (c) 2/5 a Let k be 2/3*4/6. Let n be 3 + 76/(-39) + -1. Let t = 11/39 + n. What is the third biggest value in 1, t, k? t Let t(l) = -l - 1. Let p be t(-6). Suppose y - p*y = -a + 17, 0 = 4*y + 12. Suppose 4*v - a = 3*v. What is the smallest value in v, 0.4, 0? 0 Suppose -20 = 5*d - 6*x + x, 4*x - 16 = -3*d. Let a be 2/((-8)/(-2)) - d. Let t = -1 - -2. What is the smallest value in -0.5, t, a? -0.5 Let v be (-4)/(1*88)*(-4 + 0). What is the second biggest value in -0.5, v, -1/9? -1/9 Let q = -122.96 - -121. Let r = -0.04 + q. Which is the biggest value? (a) r (b) -2/7 (c) 2/7 c Suppose 0 = o - 2 + 7, -4*i - o = -19. Let j be (-13)/i + 24/16. What is the third biggest value in j, -0.2, 0.3? j Let g = -44 + 51. What is the biggest value in -3, g, -0.5? g Let q = 0.9 - -0.1. Let x = -11 - -14. Let b = x + q. What is the third smallest value in -3, b, -4? b Let q = -1891/39 - -145/3. Let z = -0.4 - -0.9. Which is the second biggest value? (a) q (b) z (c) 0 c Let v be 1/(-7) + 2 + 235/(-70). What is the smallest value in 2/3, -0.1, v? v Let x = -1.9 + 1.4. Which is the third smallest value? (a) -4 (b) -0.02 (c) x b Let r = -0.17 - -9.17. What is the second smallest value in -0.3, -2, r, -4? -2 Let m = 35 - 35.8. Which is the second smallest value? (a) m (b) -3 (c) -0.3 a Suppose -2*q = 4*m + 14, 0 = -2*q + 2*m + 4 - 0. Suppose 5*k - 2*f + 24 = -4*f, -2 = 3*k - 5*f. Which is the second biggest value? (a) -3/5 (b) k (c) q c Let p be -1 + 1 - (-1)/7. Let r be -5 - 9*42/(-78). Which is the third smallest value? (a) p (b) r (c) -1/6 a Let i be -1*5 - (-11 - -10). Which is the biggest value? (a) 0.2 (b) -3 (c) i a Let x be 2/1*1/13. Let o = 0 + 0.3. Let m = 1.7 + o. What is the third biggest value in m, x, 2/11? x Let f be (-12)/50*(-45)/27. Let z = f - 28/45. Which is the second biggest value? (a) -3/7 (b) z (c) -0.5 a Let s = -16 + 16.4. What is the biggest value in 1, s, 1/4? 1 Let j = -0.2 - 0.8. Let o be 2 + (-3 - 2) + 1. Let u be -4*(o/4)/(-1). Which is the second biggest value? (a) j (b) u (c) 0 a Let n be (-2)/(1*(-1 - -2)). What is the fourth biggest value in n, 0.3, -1/5, 1/7? n Let x = -2 + 1. Let w = 2 + x. Let t be (-1)/2*8/18. Which is the third biggest value? (a) -0.5 (b) t (c) w a Let l = -788/1945 - -2/389. Let d be (-2)/(-7) + 46/(-14). What is the biggest value in d, 2, l? 2 Let l = 41 - 24. Let n = l + -3. Let t = -9 + n. Which is the smallest value? (a) 0.3 (b) -2 (c) t b Let d = 2.9 + -5.8. Let p = -1.5 - d. Let x = -0.6 - p. Which is the third biggest value? (a) x (b) 0.2 (c) 4 a Let q = -4.16 - -3.76. Let m = 3 - 2.8. What is the smallest value in q, m, -1/5? q Let t = -7.7 - -8. Let l = t - 0.2. Let x = -4.5 + 5. Which is the second smallest value? (a) x (b) 5 (c) l a Let u be 2/6 - 77/66. What is the smallest value in -0.3, u, -6, -3? -6 Let t be 18/20 + (-2)/5. Which is the smallest value? (a) t (b) -0.03 (c) 4/9 b Suppose 0 = -4*m + n - 8, 2*m - 6 = 2*n + n. Which is the third biggest value? (a) 0.2 (b) -3/7 (c) m c Let w = 14 + -14.1. What is the second smallest value in w, -2/13, 2/9? w Let y = -14.8 + 15. Which is the second smallest value? (a) y (b) 6 (c) 0.5 c Let j = -0.17 + 0.07. Let x = 0.1 - j. Let l = 0 + x. Which is the smallest value? (a) l (b) -4 (c) 4 b Let z be 1*(-5)/(5/4). Suppose o + 2*n + 16 = 3*o, 0 = 4*o + 2*n - 8. Which is the third biggest value? (a) z (b) -2 (c) o a Let m be (4 - 121/30)/(1/(-4)). Let w = 3 - 7. Which is the second smallest value? (a) 4 (b) w (c) m c Let m be ((-20)/16)/(2/8). Let l = 0.24 + 9.76. Which is the second biggest value? (a) m (b) -1 (c) l b Let k = 39.1 - 39. Which is the biggest value? (a) 4 (b) 0 (c) k a Let r = 2.2 - 0.2. Let l = 2 - r. Which is the third biggest value? (a) -1/11 (b) 0.3 (c) l a Let o = 0.8 + 6.2. Let d = 25 - 31.7. Let l = o + d. Which is the smallest value? (a) 2/5 (b) 2/7 (c) l b Suppose 9 = -3*h + 6. What is the smallest value in 1.5, 0.4, h? h Let r = 16.34 + -0.34. Let i = r + -13. Which is the third biggest value? (a) i (b) 2/11 (c) 1/3 b Let y = 0.59 + -0.09. Which is the biggest value? (a) -1 (b) 0 (c) y c Let s = -93/245 + -1/49. What is the biggest value in 5, s, -1/4? 5 Let z = -31 + 29. What is the biggest value in 2/165, z, -0.5? 2/165 Let q = -1.9 + 2. Let w be ((-2)/(-3))/(2/9). Let t = w - 2. Which is the third biggest value? (a) q (b) 3 (c) t a Let v = -1.9 + -0.1. Let k = 3 + v. Let y = 59/4 + -31/2. What is the third smallest value in y, 4, k? 4 Let p = 60.8 + -87. Let m = p - -29. Let i = m + -0.8. Which is the third biggest value? (a) -0.3 (b) -0.1 (c) i a Let i = 5 + -1. Let p = -4.4 + i. Suppose -5*q + 5 = 5*t, -4*q - q - 19 = -t. Which is the second smallest value? (a) 4 (b) q (c) p c Let n = 3.49 + -0.49. Which is the second biggest value? (a) n (b) 2/5 (c) 3/2 (d) -0.5 c Let d = 4 - 4. Let f = -1.03 - 3.87. Let w = 5 + f. What is the biggest value in -4/3, w, d? w Let p = -0.187 + 0.487. Let d = 58 + -121/2. What is the second smallest value in 2, d, p? p Let r = 41 - 36. Let b = 0.07 + -0.97. Let g = b - 0.1. What is the third biggest value in g, 3, r? g Let t = 0.05 - -0.03. Let y = t - 1.08. Which is the third biggest value? (a) 1/8 (b) -1/5 (c) y c Suppose -2*x = 3*m - 10, 0 = -x - 0*x - m + 4. Suppose x = 3*b + 14. Let n = 0.3 - 0.6. What is the second smallest value in b, 1/6, n? n Let a = 3337/60 + -223/4. Let t = -18 - -22. What is the smallest value in t, 1, a? a Let x be ((-4)/(-3))/(1/3). Suppose y - 3*y + 2 = 0. Let o = 6 - y. What is the third biggest value in 0.3, x, o? 0.3 Let r be ((-2)/4)/((-5)/2). Which is the third biggest value? (a) -9 (b) -5 (c) r (d) 0.3 b Let x = 3 + -1. Let n be x*(-1)/12*2. Suppose -10 = -0*f + 5*f. What is the biggest value in -0.4, f, n? n Let p = 46/7 - 676/105. What is the third smallest value in 15, 3, 2, p? 3 Let s(u) = -u**3 - u**2 + u - 5. Let h be s(0). Which is the third smallest value? (a) h (b) -2/21 (c) 4 c Let v = -0.39 + 0.19. Suppose 4*y = 0, -5*m - 5*y = -3*m - 22. Let d = m + -53/5. What is the third biggest value in d, 3, v? v Let v = 0.1 + 0.1. Let q = -58/183 - 1/61. Which is the third smallest value? (a) 4 (b) v (c) q a Let r = -80 + 83.05. Let p = r - 0.05. Which is the biggest value? (a) -0.5 (b) p (c) 4 c Suppose 30 - 57 = 9*k. Let q(j) = -j + 5. Let i be q(6). Which is the smallest value? (a) i (b) k (c) 4 b Let p be (-3)/5 + (-296)/(-360). Suppose 0 = 3*s + 9. What is the smallest value in 4, s, p? s Let v = 19 + -13. Let t = v - 6.3. What is the biggest value in t, -2/5, 4? 4 Let m = -4 - -8. Let b be ((-3)/(-2))/(1 - m). Let h = -3 + 1. What is the second biggest value in h, 0.5, b? b Let y = -2 - 2. Let j be 4/(24/9)*4. Let s be (2/j)/(4 + -3). What is the second smallest value in s, 3, y? s Let t be (-2 - 1/(-3))*9. Let p be ((-3)/t)/((-1)/(-3)). Which is the second smallest value? (a) 0.2 (b) p (c) -0.2 a Let w = -1.2 + 1.7. Let r be 3/(-9) - 2/(-15). What is the third biggest value in r, w, 3? r Let l = -16 + 16. What is the second biggest value in -0.4, 3, l, -4? l Let u = 7.3 + -1.3. Let d = u + -3. Which is the third smallest value? (a) -4 (b) 1 (c) d c Let p = -0.1 + -1.9. Which is the second smallest value? (a) -1/3 (b) p (c) 0 (d) -0.3 a Let y = -3.6 + 0.6. Let q = 10 - 10. Which is the second biggest value? (a) q (b) y (c) 1/2 a Let q = 129/1001 + 2/143. Which is the second smallest value? (a) 0.04 (b) 0.4 (c) q c Suppose -2*k - 2 = -4. Let g be (637/(-14))/(k/(-2)). Let v = -641/7 + g. Which is the second biggest value? (a) -4 (b) v (c) 0 b Let l = -103/7 - -15. Let h = -45/253 + 2/23. Which is the smallest value? (a) l (b) h (c) 1/2 b Suppose 153 - 29 = -2*v - 3*y, 3*v + 199 = 2*y. Let m be 4/(-22) + v/(-55). Let o be (1/3)/((-3)/(-6)). What is the third biggest value in 0.2, m, o? 0.2 Let l be (132/16 + -2)*4. Suppose 2*j + 3*j + l = 0. Let o be 24/(-9) + -1 + 2. What is the third biggest value in j, -3, o? j Let l = -10.756 - 0.044. Let t = l + 9. Let g = -2 - t. What is the second smallest value in -5, -1, g? -1 Let v = -5.3 + 8.3. Let
{ "pile_set_name": "DM Mathematics" }
8:17 PM and 6:40 AM? 623 What is 279 minutes before 8:47 AM? 4:08 AM What is 456 minutes before 3:42 AM? 8:06 PM What is 539 minutes after 8:24 AM? 5:23 PM What is 525 minutes after 6:29 AM? 3:14 PM How many minutes are there between 4:26 AM and 1:32 PM? 546 What is 20 minutes after 5:09 AM? 5:29 AM How many minutes are there between 5:08 PM and 8:04 PM? 176 What is 669 minutes before 3:42 AM? 4:33 PM What is 488 minutes after 1:55 PM? 10:03 PM How many minutes are there between 4:42 PM and 6:10 PM? 88 How many minutes are there between 9:34 PM and 6:24 AM? 530 What is 310 minutes before 7:29 AM? 2:19 AM How many minutes are there between 2:59 PM and 4:43 PM? 104 What is 432 minutes before 9:38 AM? 2:26 AM How many minutes are there between 10:34 PM and 4:33 AM? 359 What is 372 minutes before 8:33 PM? 2:21 PM What is 128 minutes before 8:39 PM? 6:31 PM What is 418 minutes before 9:52 AM? 2:54 AM What is 291 minutes after 7:35 PM? 12:26 AM What is 323 minutes after 4:05 AM? 9:28 AM How many minutes are there between 9:01 AM and 11:41 AM? 160 How many minutes are there between 8:56 AM and 7:24 PM? 628 What is 691 minutes after 5:28 AM? 4:59 PM How many minutes are there between 3:30 AM and 2:13 PM? 643 What is 110 minutes after 5:15 PM? 7:05 PM What is 279 minutes after 10:57 AM? 3:36 PM What is 101 minutes before 3:39 PM? 1:58 PM How many minutes are there between 12:36 AM and 8:57 AM? 501 How many minutes are there between 2:05 AM and 8:50 AM? 405 What is 27 minutes after 11:07 PM? 11:34 PM What is 341 minutes after 4:26 AM? 10:07 AM What is 508 minutes after 12:06 AM? 8:34 AM How many minutes are there between 6:15 PM and 11:17 PM? 302 What is 360 minutes before 5:15 AM? 11:15 PM What is 136 minutes after 1:52 AM? 4:08 AM How many minutes are there between 5:44 PM and 5:04 AM? 680 How many minutes are there between 10:30 AM and 1:34 PM? 184 What is 667 minutes before 7:05 PM? 7:58 AM What is 628 minutes before 11:04 AM? 12:36 AM How many minutes are there between 5:15 PM and 2:21 AM? 546 How many minutes are there between 3:12 PM and 8:36 PM? 324 How many minutes are there between 5:56 PM and 10:11 PM? 255 What is 676 minutes before 9:28 AM? 10:12 PM What is 399 minutes before 1:33 AM? 6:54 PM How many minutes are there between 8:29 AM and 3:57 PM? 448 How many minutes are there between 6:51 PM and 12:32 AM? 341 What is 692 minutes before 3:18 PM? 3:46 AM How many minutes are there between 7:46 AM and 9:29 AM? 103 What is 586 minutes before 1:35 AM? 3:49 PM How many minutes are there between 12:58 PM and 2:26 PM? 88 What is 102 minutes after 1:53 PM? 3:35 PM How many minutes are there between 9:10 AM and 9:04 PM? 714 How many minutes are there between 8:39 PM and 4:31 AM? 472 What is 171 minutes after 10:34 PM? 1:25 AM How many minutes are there between 3:29 PM and 7:40 PM? 251 What is 92 minutes before 9:11 PM? 7:39 PM What is 652 minutes before 8:05 PM? 9:13 AM How many minutes are there between 8:27 AM and 5:15 PM? 528 What is 588 minutes before 1:32 AM? 3:44 PM How many minutes are there between 7:16 PM and 7:27 PM? 11 How many minutes are there between 5:53 PM and 5:26 AM? 693 What is 630 minutes before 3:20 AM? 4:50 PM How many minutes are there between 10:04 PM and 7:23 AM? 559 What is 705 minutes before 5:57 AM? 6:12 PM How many minutes are there between 7:16 PM and 1:56 AM? 400 What is 482 minutes after 10:29 PM? 6:31 AM What is 331 minutes before 8:42 AM? 3:11 AM What is 6 minutes after 1:44 AM? 1:50 AM What is 662 minutes before 3:18 PM? 4:16 AM What is 697 minutes after 6:18 PM? 5:55 AM How many minutes are there between 4:29 PM and 9:08 PM? 279 What is 595 minutes before 10:39 AM? 12:44 AM What is 20 minutes after 3:27 AM? 3:47 AM What is 315 minutes before 12:15 AM? 7:00 PM How many minutes are there between 12:54 PM and 12:36 AM? 702 How many minutes are there between 5:41 PM and 11:54 PM? 373 How many minutes are there between 3:56 AM and 1:43 PM? 587 What is 252 minutes after 3:23 AM? 7:35 AM What is 240 minutes before 2:08 PM? 10:08 AM What is 446 minutes before 8:20 AM? 12:54 AM How many minutes are there between 6:50 PM and 2:02 AM? 432 How many minutes are there between 10:50 PM and 12:12 AM? 82 What is 53 minutes after 7:07 PM? 8:00 PM What is 279 minutes before 3:14 AM? 10:35 PM What is 117 minutes after 9:27 PM? 11:24 PM What is 345 minutes before 10:58 AM? 5:13 AM How many minutes are there between 6:29 AM and 1:41 PM? 432 How many minutes are there between 12:47 AM and 1:25 AM? 38 How many minutes are there between 10:00 PM and 1:23 AM? 203 What is 123 minutes before 1:44 PM? 11:41 AM How many minutes are there between 10:39 AM and 12:11 PM? 92 How many minutes are there between 9:15 PM and 10:06 PM? 51 How many minutes are there between 5:51 PM and 6:01 PM? 10 What is 636 minutes after 5:15 AM? 3:51 PM What is 573 minutes after 1:42 AM? 11:15 AM What is 342 minutes before 7:25 AM? 1:43 AM How many minutes are there between 5:45 AM and 4:42 PM? 657 What is 491 minutes after 6:37 PM? 2:48 AM What is 398 minutes before 5:10 AM? 10:32 PM How many minutes are there between 4:52 PM and 8:52 PM? 240 How many minutes are there between 3:45 PM and 10:57 PM? 432 What is 264 minutes before 2:13 AM? 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5:54 PM What is 184 minutes before 11:23 AM? 8:19 AM How many minutes are there between 1:46 PM and 9:09 PM? 443 What is 670 minutes after 10:12 AM? 9:22 PM What is 39 minutes after 6:33 PM? 7:12 PM What is 202 minutes before 8:14 AM? 4:52 AM How many minutes are there between 8:19 PM and 2:12 AM? 353 What is 507 minutes after 2:03 PM? 10:30 PM How many minutes are there between 11:29 AM and 9:05 PM? 576 What is 623 minutes before 4:07 PM? 5:44 AM What is 501 minutes after 2:39 AM? 11:00 AM What is 27 minutes before 5:41 PM? 5:14 PM What is 503 minutes after 6:21 AM? 2:44 PM What is 33 minutes after 2:45 AM? 3:18 AM How many minutes are there between 11:33 AM and 9:56 PM? 623 What is 564 minutes after 11:36 AM? 9:00 PM What is 25 minutes before 12:17 AM? 11:52 PM How many minutes are there between 12:05 PM and 4:31 PM? 266 What is 44 minutes after 8:18 AM? 9:02 AM How many minutes are there between 5:22 PM and 4:49 AM? 687 What is 468 minutes before 8:37 PM? 12:49 PM What is 630 minutes after 2:24 PM? 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{ "pile_set_name": "DM Mathematics" }
y = -3*p - 2*t - 19 for p. -3 Let a(o) = o**2 + 7*o - 4. Let h be a(-8). Let q be -3 + h - (2 + -3). Suppose -56 = -9*r + 7. Solve 5*z - q*p = -p + 9, z = -2*p - r for z. 1 Let s = -214 + 214. Solve 0 = -4*f - q - 2*q + 26, -3*f + q + 13 = s for f. 5 Let q = -10 - -43. Suppose -d = 2*d - q. Suppose 0 = 3*y - 5*i + 16, 4*y + i - d = 2*y. Solve -v = 3*o, o - 4*o = y*v for o. 0 Suppose b = a, -5*a + b + 8 = -0*a. Suppose 4*d - 10 = d - y, -d - a = -y. Suppose -2*j = -3*j + 15. Solve d*r + 3*z = -2*r - 20, 3*r + j = 2*z for r. -5 Suppose -343*o + 16 = -335*o. Solve -5*d - o*x - 19 = 0, -3*x - 3 = -2*d + d for d. -3 Let q(b) = b**2 + 28*b + 173. Let p be q(-9). Solve 0 = -2*t - 5*d + 20, d + 20 - p = 4*t for t. 5 Suppose -5*n = -h - 13, 3*n = -6*h + 2*h + 17. Let b = -5 - -8. Let y(v) = v + 10. Let q be y(b). Solve -p - q = -4*s + s, 0 = -h*s + 2*p + 14 for s. 3 Let a(g) be the first derivative of -g**2/2 + 4*g + 15. Let t be a(-9). Solve -10 = -5*x + 5*v, -6*x + t = -3*x + 4*v for x. 3 Suppose -8 = 15*l - 17*l. Solve -2*p - 12 = a + l*a, 0 = 3*p + 2*a + 7 for p. -1 Let q be 1/((-1)/(60/(-6)) - 0). Solve -2*z = 4*v - 28 + q, z = 2*v - 11 for z. -1 Suppose -5*z + 66 = 3*j, -z - z + 27 = j. Let c(u) = -u + 1. Let s be c(-11). Suppose 0 = -0*r + 3*r - s. Solve 3*f - z = 0, r*f - 35 = k + 2*k for k. -5 Let f(c) = -c**3 - 19*c**2 + 16*c - 68. Let t be f(-20). Solve w + 0*w = 5*g - 16, g + t = 4*w for g. 4 Let y = 2 + -4. Let m(r) = 2*r**2 + r - 1. Let q be m(y). Solve q*n - 5 = 0, d - 3 = -0*n + n for d. 4 Suppose -23*s + 4 = -21*s. Solve 5*z - s*p - 2*p - 15 = 0, -5*z - 25 = 4*p for z. -1 Let s(x) = -2*x**3 - x**2 + 4*x + 4. Let r be s(-2). Suppose -r*t = -12*t + 72. Solve -o + 1 = 5*c, -o - t = 2*c + 4*o for c. 1 Suppose -4*a - 6 = 4*y - 14, -4*y = -4*a - 24. Solve -5*r + 17 = f, -28 = y*f - 4*r - 0 for f. -3 Let g = 8 + -5. Let o(c) = 4*c**2 - 20*c - 598. Let y be o(-10). Solve -g*t + 3*m + 6 = 0, -3*t + y = -t - m for t. 0 Let o = -116 - -136. Suppose 0 = -5*p + o, b + 2*p - 24 = -3*b. Solve 0 = -z - 5*c + 15, 4*z = -c - b + 7 for z. 0 Suppose 2*p = -11*p + 39. Solve 8 = -3*h - 2*q, p*q - 4*q + 10 = -2*h for h. -4 Let y = -19 + 31. Let j be (y + -3)*(-2)/6. Let t be 5/15 + (-8)/j. Solve 0 = 5*w - 2*m - 4, t*m + 3 = 4*w - 3 for w. 0 Suppose 0 = 5*n - 2*b, -44 + 25 = -2*n - 3*b. Solve -n*v - g = -4*v - 11, -v = -2*g + 10 for v. -4 Suppose 6*s + 11 - 29 = 0. Solve s*l + 23 = -5*v, -7*l + 2*l - 1 = -v for v. -4 Suppose u - 16 = -5*x, 2*x + 3*u = -0*x - 4. Suppose 2*m = -0*m + x, 4*h = -2*m + 32. Solve k + 3*r - h = 0, 4*k - 11 = -3*r + 8 for k. 4 Let f be 3 + (3 - (-3 - -4)). Let a = -64 - -70. Solve b = f*g + 16, 0 = -2*b - a*g + 7*g + 5 for b. 1 Let c(g) = 4*g**2 - g**2 + 6*g - 5 - 2*g**2. Let a be c(-7). Solve 3*h = -5*p + a, 0*h + 12 = 4*p + 5*h for p. -2 Let j be (3/4)/(-3)*(-176)/22. Solve -2*x + 5*x + j*r = -5, -2*x = -2*r for x. -1 Let k be 2/(-2) - (-260)/65. Solve 0 = -2*z + 2, k*z - 9 = 5*r + 9 for r. -3 Let m be (-4 - 63/(-3)) + -4. Let b be (-2)/(-5) + m/5. Solve 4 = d + b*r, 2*r - 8 = 3*d - d for d. -2 Suppose 23 = 3*u - u - 3*h, -2*u - 4*h = 12. Solve -12*v = 3*b - 8*v + 27, 0 = 4*b + u*v + 32 for b. -5 Suppose 3*h - 15 = -3*d, -6*d + 9*d - 25 = -4*h. Let b(t) = t**3 - 6*t**2 + 5*t + 5. Let i be b(5). Solve 0 = -o + 3*g - 5, 2*o + i*g + h = -0*g for o. -5 Suppose -4*f = 2*n - 6*f, 0 = -4*n - 8*f + 12. Solve -o = -4*z + n - 22, -4*z = o + 11 for o. 5 Suppose -6*x - 4*x = -400. Suppose 0*q - 3*i - 40 = -2*q, x = 2*q + 4*i. Solve 0 = 3*s - 2*f + 15, -2*s - 2*s + f - q = 0 for s. -5 Suppose -4*b = -0 - 28. Suppose -2*u = 2*u - y - b, 4*y - 5 = 5*u. Solve 0 = 2*i, -a + u*i + 5 = -2*a for a. -5 Let x(w) = 10*w**2 - 1. Let z be x(-1). Let p(r) = -24*r + 27. Let g be p(1). Solve 0 = -l + k + 1, l + z = 2*l + g*k for l. 3 Let q = 17 - 28. Let m = q - -16. Suppose 4*y = 3*o + 17, m*y + 4*o = -0 - 2. Solve -y*g + 10 = 2, 6 = -2*b + 3*g for b. 3 Let m = -23 + 60. Suppose 9*r - 89 = m. Solve z + 2*v - r = 0, 2 = -2*z + 5*v - 15 for z. 4 Let p(d) = -13*d + 17. Let b be p(1). Solve -f - 6 + 5 = 0, -b*f - 1 = j for j. 3 Suppose -4*f + 11*f - 259 = 0. Let t = f - 22. Solve 4*a - m = -3*m - 2, t = -3*m for a. 2 Let m = -6 + 9. Let s = 1 + m. Suppose -46 = s*c - 6*c. Solve w = -3*b + 2*b - 1, -4*w + c = -5*b for w. 2 Let b be 4/8 - (-9)/2. Let z be 12/8 + (-21)/(-6). Suppose -6*t = -5*t - z. Solve 4*o + 14 = -c, b*o = 4*c + c - t for c. -2 Suppose -3*d + 47 = 38. Solve 3*x = d*q, -2*x - 39 + 14 = 3*q for q. -5 Let r(c) = 3*c**2 + 1. Let w be r(-1). Suppose 0 = -w*j + 5*h + 53, 6 = -h + 1. Solve 3*d - 13 = -5*o, -j*o + 2*d = -2*o - 8 for o. 2 Let v(u) = -u**2 - 5*u - 3. Suppose 0 = -0*a - 3*a - 9. Let i be v(a). Suppose -27*t = -9*t - 36. Solve t*r - 5 = l + 1, 0 = -r + i*l - 7 for r. 5 Let v(q) = -8*q + 91. Let w be v(10). Let p be (2 + -2)*(-2)/(-2). Solve -4*c + 21 = -y, -c - c + y + w = p for c. 5 Let b(j) be the first derivative of j**4/4 + 2*j**3 - 15*j**2/2 + 11*j + 20. Let z be b(-8). Solve 2*g + 1 = -3*k, 3*k = -0*g - z*g + 3 for g. 4 Let r(x) = -x + 2. Let b be r(-1). Suppose 5*k = -4*i + 14, -23 = -b*i - k - 7. Solve 3*u + 5*p = 23 - i, -3*p = -u + 1 for u. 4 Suppose -4*p = -282 + 90. Suppose 0*n - 5*n + 76 = 3*s, -4*s + p = -4*n. Let u = -11 + s. Solve 0*t + 18 = -j - 4*t, -j + 2*t + u = 0 for j. -2 Let d(t) = t**3 - 29*t**2. Let h be d(29). Solve 5*o + 3*g - 9 = h, 3*g + 18 + 0 = 4*o for o. 3 Let m be ((-4)/12)/(3/(-18)). Suppose 2*v = -2*n + 6, -4*n + 4*v = m*v - 12. Suppose 0 + 6 = n*o. Solve -4 = -2*a - o*y, 3*y = a - 0*a + 2 for a. 1 Let b be 1/(-10)*4*-10. Let d(l) be the first derivative of l**3/3 - 3*l**2/2 - 4*l + 4. Let u be d(b). Solve u = -q - 0*q, -q = -5*c + 25 for c. 5 Suppose 310 = 64*i - 2*i. Solve -3*j - 3*o = 6, 13 = -3*j - 2*o + i for j. -4 Let i = -3 + 4. Let x be 3/(-9)*0/i*1. Solve 3*r + 31 = 4*c, 3*c + x*r - 17 = r for c. 4 Let d be -5 + 5 + 7 + -3. Suppose -104 = -p - 4*p - 4*m, d*p = -4*m + 84. Solve -5*o = p, 0 = -c - 2*o + o - 2 for c. 2 Let i = 9 - 15. Let k = 15 + i. Solve -3*d + 3*p = -k, 0 = -0*d + 2*d - 3*p - 9 for d. 0 Suppose 3*c + 5*y = 4*y + 37, 5*c = 2*y + 58. Suppose -7*b + 9 = -c. Solve b*z + 19 = -4*x, -3*z + 1 + 12 = -4*x for z. -1 Suppose 7 = -5*i + 12*i. Let c(b) = 2*b**3 + 2*b**2 - b. Let z be c(i). Solve k + 3*k = -12, 0 = z*q + 5*k + 9 for q. 2 Suppose 4 = 5*y - 1, 0 = -5*f - 5*y + 125. Suppose -f = 2*s - 5*s. Solve i - 4*v = -3, 0 = -v + 5*v - s for i. 5 Let k be (-9)/(-18)*4/1. Suppose k*l - 3 - 1 = 0. Let f(r) = r**3 - r**2 - 3*r + 3. Let h be f(l). Solve 2*s - 2*y - h = 3, -2*y - 4 = -5*s for s. 0 Let d = -8 - -11. Suppose 14 = 9*h + 5. Solve 4*j - d*x + 6*x - h = 0, -x = -5*j + 6 for j. 1 Suppose 7*b - 2*q - 28 = 2*b, -4*b + 21 = -3*q. Solve 20 = 5*i - 5*z, -8 = -b*i + i - z for i. 2 Let t be (-20)/30 - (-4)/6. Suppose 34*k - 24 - 10 = 0. Solve t = -4*q + 4*v - 24, -k = -v + 1 for q. -4 Let y(k) = k**3 - k**2 - 3*k - 5. Let u be y(3). Solve 0*j + 5*d = -3*j - 5, u*j - 16 = -d for j. 5 Let t(i) = i**3 - 8*i**2 + 9*i - 8. Let s be t(7). Let n(k) = 4*k - 15. Let u be n(s). Solve -17 = 5*c - 4*l, -3*c = -4*c - 2*l - u for c. -5 Let u = -328 - -328. Solve -5*q = -u*q - 2*b + 23, -5*q - 24 = -b for q. -5 Let t(m) = -m**2 + 4*m - 2. Let a be t(3). Suppose -3*c - a = y, 2*c + 2*c + y = -1. Solve 4*h + 7 = -o, c = -3*o + h - 7 - 1 for o. -3 Let y be 4 + (-77)/21 + (-1)/3. Solve y*n + 8 = -2*n, 6 = 2*g - 4*n for g. -5 Suppose -p + 0*g + 6 = -4*g, -p - 2 = 4*g. Suppose d - 2*b = -p*d + 85, 2*b = d - 31. Let q be (-16)/6*d/(-36). Solve 4*y + 2 = -5*r, q*r = 5 - 1 for y. -3 Let q(s) = -5*s - 2. Suppose 22 = -p + 21. Let o be q(p). Solve 3*i - 5*z - 2 = -10, 0 = o*i + 5*z - 2 for i. -1 Let i be (1 - 2/(-6))*3. Let s(k) = k**2 - 73*k + 214. Let c be s(3). Solve -3*h + 5*b = 0, 0 = i*h + b + c*b - 35 for h. 5 Suppose 0 = 3*r - 0*q + 5*q + 11, 0 = q + 4. Solve -2*b = -5*x - 20, -b - r = 5*x + 17 for b. 0 Let d be (28/8)/((-1)/2). Let m = 10 + d. Suppose i + 0*i = m. Solve -y + i*x = -0*x + 12, 5*x - 10 = 5*y for y. 3 Suppose 38 = -4*y + 14. Let p = y - -9. Let r = 1 + p. Solve -3*u - 2*c = 3, -3*u - 3 = -0*c + r*c for u. -1 Let o(l) be the first derivative of -2*l**2 - 2*l + 5. Let p be o(-1). Suppose p =
{ "pile_set_name": "DM Mathematics" }
actors of u? 3, 29 Let a(n) = n**3 + n**2 + 5*n - 17. Let i be a(5). What are the prime factors of (i - (0 + -2)) + (-30)/(-6)? 3, 5, 11 Let f(z) = -47*z + 29. Suppose 66 = -6*a - 12. Let b be f(a). Suppose 6*y - 380 - b = 0. List the prime factors of y. 2, 5, 17 Let o = 50 + -46. Let t(l) = l**3 + 3*l**2 - 5*l + 2. Let x be t(o). Let y = x + -18. What are the prime factors of y? 2, 19 Let q = 237 + 31668. What are the prime factors of q? 3, 5, 709 Let j(u) = -2*u + 50. Let x be j(22). Suppose x*c - 5178 + 864 = 0. List the prime factors of c. 719 Suppose q + 416 = 9*q. Let x = q - -3. Suppose l - x = -4*l. List the prime factors of l. 11 Suppose -6*i - 3*i - 1755 = 0. Let z = i - -289. List the prime factors of z. 2, 47 Suppose -5805 = 6*t + 2583. What are the prime factors of 15/(-6) - t/4? 347 Let a(n) = -n**2 + n + 2. Let p be a(2). Suppose -4*g = -t + 383, -3*g + p*g = -4*t + 297. Let v = g - -113. List the prime factors of v. 2, 3 Let o = -22146 + 41251. What are the prime factors of o? 5, 3821 Let l(x) = -x**3 - 1. Let a be l(-2). Suppose -3*s = -a*s + 4*p - 4, 0 = 2*s + 4*p - 4. Suppose 2*h = s, 5*k + 3*h - 8 = k. List the prime factors of k. 2 Suppose -3*q = -188 + 191. What are the prime factors of -2 + -1 - (q + -262)? 2, 5, 13 Let f(s) = -5 - 5*s**3 + 18*s + 10*s - s**2 - 25*s. List the prime factors of f(-4). 7, 41 Let n be 4*(18/(-12))/((-3)/8). Suppose -4*z + n = 44. Let m(j) = -21*j + 13. What are the prime factors of m(z)? 2, 5 Let o(q) = 204*q**2 - 63*q - 1. Let d be o(7). Suppose 27*b = 10*b + d. List the prime factors of b. 2, 281 Let k(p) = 23*p - 21. Let o be k(8). Suppose -24 = -11*n + o. Let c(h) = h**3 - 18*h**2 + 19*h + 35. List the prime factors of c(n). 3, 23 Let c = -184 + 220. Suppose -2*w + 0*w + c = 2*n, 110 = 5*w + n. What are the prime factors of w? 23 Let z be 30*16/40 + -6. Suppose -4*v = -3*o + 3319, 4*o - z*o + 3*v = -2212. What are the prime factors of o? 1109 Let y(t) = -191*t - 115. Suppose 7*s - 320 = -341. What are the prime factors of y(s)? 2, 229 Let b(t) = -t**2 + 3*t - 10. Let n be b(2). Let w be -343 + 2 - 2/(-1). What are the prime factors of (-2)/n*1 + w/(-4)? 5, 17 Let v(l) = l**3 - 9*l**2 - 21*l - 3. Let a be v(11). List the prime factors of -135*((-560)/25)/a. 2, 3, 7 Suppose 202*n - 203*n - 32553 = -r, -2*n + 4 = 0. List the prime factors of r. 5, 17, 383 Suppose 0 = -115*y + 156819 + 395181. What are the prime factors of y? 2, 3, 5 Let o = 56837 - 26569. Suppose -o = -23*w - 24*w. What are the prime factors of w? 2, 7, 23 What are the prime factors of (6 - (-117)/(-21))*38283? 3, 1823 Let x(d) = -d**3 + 74*d**2 + 39*d - 396. List the prime factors of x(73). 2, 5, 389 Suppose -30514 + 333286 + 1878318 = 87*m. What are the prime factors of m? 2, 5, 23, 109 Let u(k) = 932*k + 1. Let a(s) = -233*s. Let y(n) = -9*a(n) - 2*u(n). Let x be y(1). Suppose -x - 729 = -6*h. List the prime factors of h. 2, 5 Let t(s) = -103*s - 138. Let r be t(-28). Suppose r = 3*n + 718. List the prime factors of n. 2, 13 Let k be 35/(2/3 + 3/9). Suppose k*h - 3528 = 29*h. Suppose -21*v = -14*v - h. What are the prime factors of v? 2, 3, 7 Let a(m) = 374*m**2 + 121*m + 336. What are the prime factors of a(-3)? 3, 7, 53 List the prime factors of 2 + 112049/4 - (-21 - 1848/(-96)). 2, 17, 103 Suppose -4809 = -2*a + 11523. Suppose 44*h - 50*h = -a. What are the prime factors of h? 1361 Let b(y) = -62*y. Let q(d) = d**2 - 125*d + 2. Let m(j) = -9*b(j) + 4*q(j). What are the prime factors of m(-25)? 2, 23 What are the prime factors of (-4)/14 - ((-543554)/14 - (-14)/1)? 3, 17, 761 Suppose -2*y - y = 0. Suppose -k = -8 - y. Let o(u) = u**3 - 7*u**2 + 7*u - 12. List the prime factors of o(k). 2, 3 Suppose 14*t = 9*t - 20, -4*f - t = -16. Suppose -3*u - f*k + 1235 = -k, -812 = -2*u + 3*k. What are the prime factors of u? 409 Suppose 30*s - 25*s = 2410. Let z = s - 305. List the prime factors of z. 3, 59 Let u = -125 + 134. Suppose 511 = u*c - 425. List the prime factors of c. 2, 13 Suppose 0 = k - 5*f - 30, 4*f - 38 = 4*k - 158. Suppose k*i - 5480 = 10210. List the prime factors of i. 523 Suppose -w = -2, 2*v + 2*w - 5*w = 0. Let x(a) = 57*a**3 - 4*a**2 + a - 2. List the prime factors of x(v). 2, 47 Suppose -3*o = 2*z - 3*z - 1700, -4*o + 2280 = 2*z. Suppose -11*g = -3*g - o. Let p = -42 + g. What are the prime factors of p? 29 Suppose -a - 40 = a. Let q(k) = -16 + 3*k**2 - k**2 + 7*k**2 + k**3 + 4*k**2 + 19*k + 8*k**2. What are the prime factors of q(a)? 2 Let c be 0/(1*(0 - 1)). Suppose c = -o - 3*w + 135, -2*o - o + 5*w + 419 = 0. Let q = o - 44. What are the prime factors of q? 2, 47 Let t(w) = -2*w**2 - w + 716. Suppose -5 = -4*k + n, -2*n + 20 = k - 6*n. List the prime factors of t(k). 2, 179 Let i = 52324 + -33989. List the prime factors of i. 5, 19, 193 Let d(h) = 2*h**2 - 100*h + 197. Let i be d(48). Let z(t) be the second derivative of t**4/3 - 9*t**2/2 + t. List the prime factors of z(i). 7, 13 Let w = 1563 - -2934. List the prime factors of w. 3, 1499 Let q be (1*-5 - (-160)/20) + 2255. Suppose -8618 = -8*u - q. List the prime factors of u. 3, 5, 53 Let n(c) = 16 - 61676*c + 7 + 61667*c. List the prime factors of n(-20). 7, 29 Let r(n) = 179*n**3 - 8*n**2 + 7*n + 18. What are the prime factors of r(3)? 2, 3, 5 Let l be 12/2*(-84)/18. Let j be -13 + -1 - (-21)/l*-4. Let v(a) = 2*a**3 + 22*a**2 - 9*a + 14. List the prime factors of v(j). 113 Let u(d) be the second derivative of d**5/20 + d**4/4 - 6*d**3 - 6*d**2 + 12*d - 1. List the prime factors of u(6). 2, 3 Suppose 4*c + 3*s = -s + 368, 3*s = -2*c + 179. Suppose 245 = 33*q - 38*q. Let r = c + q. What are the prime factors of r? 2, 3 Let i = -17 + 20. Let w(u) = 2*u**3 - 8*u**2 + 2*u - 9. Let k(g) = -g**3 - g**2 - g - 1. Let c(j) = i*k(j) + w(j). List the prime factors of c(-12). 2, 3 Suppose 42221 = 4*w + 2*b - 9411, 116133 = 9*w - 2*b. List the prime factors of w. 5, 29, 89 Let n(m) = -m**2 + 22*m + 19. Let u be n(13). Suppose -b - 4*q - q = -u, 0 = 3*b - 4*q - 351. Let j = 295 - b. What are the prime factors of j? 2, 3, 29 Suppose 22115 = -46*b - 10508 + 184101. What are the prime factors of b? 37, 89 Let s be (0/(-67))/(-1*3). Let d(i) = -i - 4. Let b be d(-4). Suppose b = 4*h - s*h - 360. What are the prime factors of h? 2, 3, 5 List the prime factors of (10373 + -4 + 18)/1. 13, 17, 47 Let m(d) = -2*d**2 - d. Let n(j) = -2*j**2 - 11*j - 2. Let l(y) = -m(y) - n(y). List the prime factors of l(7). 2, 3, 47 Let r = 761 + -916. Let l = 478 - r. List the prime factors of l. 3, 211 Let r be -916*((-11)/2 + 120/24). Suppose 2*o + 3*q = o + 231, -2*o + r = 2*q. List the prime factors of o. 2, 3, 19 Let v(d) = -2*d**3 - 4*d**2 - 3*d - 2. Let g be v(-2). Suppose -1511 = -5*o - h, g*o - 2*h - 1204 = 2*h. List the prime factors of o. 2, 151 Suppose -3*w - 204 = 2*w + l, 3*l = 4*w + 148. Let r = w + 44. Suppose -2*u + 3*m + 143 = -0*u, -r*u = -3*m - 283. What are the prime factors of u? 2, 5, 7 Let u = -145 - -144. What are the prime factors of -2*(-5)/(-10) + 154 + u? 2, 19 Let k(j) = 42*j**3 + 28*j**2 + 104*j - 1425. List the prime factors of k(12). 3, 73, 349 Let u be (5 + (-6)/30)/(4/10). Suppose 0 = u*i - 2277 - 267. List the prime factors of i. 2, 53 Suppose 39780 = 6505*p - 6493*p. What are the prime factors of p? 3, 5, 13, 17 Suppose -15*j + 257919 - 42759 = 0. Suppose -23*z + j = -z. What are the prime factors of z? 2, 163 Let u(c) = -545*c - 1573. List the prime factors of u(-9). 2, 7, 17 Suppose -4*o = 5*n - 84803, 5*o - 2*n - 50075 = 55937. What are the prime factors of o? 2, 10601 Let o be (-12*(-24)/180)/((-2)/(-10)). Suppose o*d = 15*d - 4417. List the prime factors of d. 631 Let b = 16817 + -7615. List the prime factors of b. 2, 43, 107 Let o = 15987 + -15349. What are the prime factors of o? 2, 11, 29 Let c(x) = 8*x + 6 + x - 25*x**3 + 3 + 5 - 2*x**2. List the prime factors of c(-3). 2, 7, 23 Suppose 3*i + 6 - 18 = 0. Suppose -5*z + 0*p + 391 = 4*p, i*z - 312 = -3*p. What are the prime factors of z? 3, 5 Let a(q) = 0*q**3 + 25*q**2 - 24*q**2 - q + 3 - q**3 + 2*q**3. Let t be a(0). Suppose -4*f + 9*f = 2*n - 130, -t*f = 4*n - 312. What are the prime factors of n? 3, 5 Let k = 279 - 287. What are the prime factors of (k - -4)*411/(-6)? 2, 137 Suppose 2
{ "pile_set_name": "DM Mathematics" }
762*u - 1 = 15763*u for u. -1 Solve -878 = -15*g - 61*g + 262 for g. 15 Solve -83*r = 162 - 585 - 75 for r. 6 Solve 2184 = 517*d - 50*d - 1552 for d. 8 Solve -15167*o - 143 = -15178*o for o. 13 Solve 13*x - x + 689 - 581 = 0 for x. -9 Solve -2*y - 139*y - 5321 = -386 for y. -35 Solve -9*p + 140 = 21*p - 16*p for p. 10 Solve -544*f = 443*f - 18470 - 7192 for f. 26 Solve -10*c - 10 = 10 - 0 for c. -2 Solve 275 - 141 = 107*y - 1043 for y. 11 Solve -1761 - 1389 = -105*c for c. 30 Solve -2994 = 429*r + 3978 - 1395 for r. -13 Solve 152 = -63995*n + 63987*n for n. -19 Solve 107*q - 1796 + 494 = 196 for q. 14 Solve 0 = 229225*o - 229202*o + 253 for o. -11 Solve 114*s - 1539 = 57 for s. 14 Solve -15*c - 175 = -40 for c. -9 Solve -68 = -19*f + 120 + 59 for f. 13 Solve -2360*n + 4514 = -2831*n - 1609 for n. -13 Solve 762 + 596 = -97*j for j. -14 Solve -226*f = 765 + 139 for f. -4 Solve -18*h + 11256 = 11742 for h. -27 Solve 86*n - 630 = 30*n - 34*n for n. 7 Solve 73*y = -102*y - 1682 - 768 for y. -14 Solve 7252 - 7272 = -5*j for j. 4 Solve 401*l + 161 = 78*l + 5329 for l. 16 Solve -325*o - 107 = -310*o + 133 for o. -16 Solve -30*h - 77 + 94 = 227 for h. -7 Solve -128*x = 68*x - 133*x for x. 0 Solve -186*h + 182*h = 60 for h. -15 Solve 34*b = 207*b - 865 for b. 5 Solve -173 = -70*r + 597 for r. 11 Solve -59*r - 78 - 8 - 32 = 0 for r. -2 Solve -103*i = -70*i + 561 for i. -17 Solve 305*d - 190 = 622*d - 298*d for d. -10 Solve -53*n + 193 = -19 for n. 4 Solve 46*h - 1725 = -1541 for h. 4 Solve -43*v - 103*v = 4088 for v. -28 Solve 18*v - 4 = -130 for v. -7 Solve -227*o - 52 = 331*o - 4516 for o. 8 Solve 386*b - 2014 = 280*b for b. 19 Solve 0 - 1 - 39 = -5*o for o. 8 Solve -5660*k + 5755*k = -2660 for k. -28 Solve -196 + 256 = -49*y - 332 for y. -8 Solve 37*b + 6 = 15*b + 19*b for b. -2 Solve -32*t = 41*t - 208 + 62 for t. 2 Solve -4151*a + 4194*a + 1333 = 0 for a. -31 Solve -135*i - 2272 = 7*i for i. -16 Solve -9*x - 24*x + 50 = -8*x for x. 2 Solve 84*j - 1695 + 351 = 276*j for j. -7 Solve -14 = -383*s + 276 + 93 for s. 1 Solve -44 + 42 = o for o. -2 Solve -90*u - 24 = -49*u - 43*u for u. 12 Solve 41*l + 19*l = 9*l + 204 for l. 4 Solve 807*f - 770 = 752*f for f. 14 Solve 2*z - 2935 = -2931 for z. 2 Solve 83*r + 894 = 230 for r. -8 Solve 25*l + 19247 - 19397 = 0 for l. 6 Solve 127*x - 2167 - 1629 = -113 for x. 29 Solve -25*y + 806 - 431 = 0 for y. 15 Solve 0 = -27*l + 148 + 149 for l. 11 Solve -14*h + 3 - 2 = 15 for h. -1 Solve 354*g - 339*g = -75 for g. -5 Solve -26*p + 212 = 25*p + 1334 for p. -22 Solve -145*x - 117 = -75*x - 79*x for x. 13 Solve 4*p - 642 = -650 for p. -2 Solve 0 = -133757*s + 133852*s + 2565 for s. -27 Solve -3*j = -141*j + 2208 for j. 16 Solve 264*i - 5097 - 1941 = -127*i for i. 18 Solve 158*c + 378*c + 380 = 156*c for c. -1 Solve 55*q - 45*q + 10 = 0 for q. -1 Solve -70*n - 14*n + 721 = 19*n for n. 7 Solve 11575 - 11533 = 14*o for o. 3 Solve 311*v + 3006 = 95*v - 882 for v. -18 Solve 10633*r = 10564*r + 1311 for r. 19 Solve 84*h = 1465*h - 52478 for h. 38 Solve -244*v = -26*v + 123*v + 5456 for v. -16 Solve 80138*d = 80163*d for d. 0 Solve 0 = 119*x - 1483 - 1135 for x. 22 Solve 2*t - 102 = 14*t - 29*t for t. 6 Solve -16*n - 148 - 258 = -198 for n. -13 Solve -5*p = -0*p + 2*p - 2*p for p. 0 Solve -6003*x = -5973*x - 420 for x. 14 Solve 23*a - 832 = -41*a for a. 13 Solve 0 = -16*w + 849 - 801 for w. 3 Solve 0 = 169*j - 153*j + 160 for j. -10 Solve -275*h - 1770 = -393*h for h. 15 Solve 1386*q + 70 = 1400*q for q. 5 Solve 59*j + 375 = -8*j - 58*j for j. -3 Solve 0 = -87*l + 61 - 148 for l. -1 Solve -69*v + 304*v - 235 = 0 for v. 1 Solve -2151 = 2*m - 2149 for m. -1 Solve -55*l - 6*l - 9*l - 840 = 0 for l. -12 Solve -62*p - 458 = -396 for p. -1 Solve 162 = -35*l + 4*l + 4*l for l. -6 Solve 2*j - 1111 = 107*j - 4*j for j. -11 Solve -63*x = 518*x + 5810 for x. -10 Solve 774*n = 628*n + 1460 for n. 10 Solve 7847*s = 7855*s + 208 for s. -26 Solve -80*g - 21*g + 4037 = 266*g for g. 11 Solve 182*u + 556*u - 25092 = 0 for u. 34 Solve 94*k = -21*k - k - 1740 for k. -15 Solve 76 = -175*n + 171*n for n. -19 Solve 0 = -1959*u + 1891*u for u. 0 Solve -22*t = -407 + 429 for t. -1 Solve 72*n - 281 = -63 + 214 for n. 6 Solve 24 = -45564*n + 45556*n for n. -3 Solve 294*t - 311*t = -238 for t. 14 Solve 11*d + 864 = 107*d for d. 9 Solve 123 + 225 = 195*j - 166*j for j. 12 Solve 19*q = -161*q - 112*q - 196*q for q. 0 Solve 884 = -57607*a + 57555*a for a. -17 Solve -7249*f + 7421*f + 860 = 0 for f. -5 Solve -12*z = 5*z - 11*z - 186 for z. 31 Solve -101*s = -51*s - 100 for s. 2 Solve 0 = 280*r + 2853 + 1067 for r. -14 Solve -392 + 336 = -7*n for n. 8 Solve 12 = 8*b - 22 + 98 for b. -8 Solve 606*c - 1990 = 2858 for c. 8 Solve 185*o - 376 + 210 = 1314 for o. 8 Solve -422*w = 345*w - 829*w - 1798 for w. -29 Solve 193*k - 169*k + 768 = 0 for k. -32 Solve -258 + 130 = 32*q for q. -4 Solve -2*t - 3048 = -97*t - 32*t for t. 24 Solve 635*w + 14771 = -1104 for w. -25 Solve -846*q + 417*q = -422*q - 119 for q. 17 Solve 11*z + 22*z = -14*z + 282 for z. 6 Solve 22319 = -17*u + 62*u + 22004 for u. 7 Solve 29*i + 28*i - 290 = 337 for i. 11 Solve -36*z + 109 = -305 + 54 for z. 10 Solve -1800 + 149 = -127*l for l. 13 Solve -496*p + 113 + 380 = -1987 for p. 5 Solve -2012 = 484*j + 2344 for j. -9 Solve 19*a + 244 - 377 = 0 for a. 7 Solve 0 = 717*x - 5135 + 7286 for x. -3 Solve 0 = -13*d - 83 - 87 + 157 for d. -1 Solve 79*h - 39*h + 121 = -81*h for h. -1 Solve -266*k = -1023*k + 2183 + 3116 for k. 7 Solve 28*o = -10*o - 27 - 353 for o. -10 Solve -1264*n = -1250*n - 56 for n. 4 Solve -59*u + 34922 = 33978 for u. 16 Solve -432 = -45*z - 72 for z. 8 Solve -58*s = 328 + 78 for s. -7 Solve 21*b = 80*b + 59 for b. -1 Solve 86*n + 77 = 249 for n. 2 Solve -100*q + 573 + 543 = 24*q for q. 9 Solve 166*m - 472*m + 7956 = 0 for m. 26 Solve 0 = 100*d + 13170 - 14670 for d. 15 Solve 43*y = -34*y + 26*y - 918 for y. -18 Solve -13*o + 53*o = 320 for o. 8 Solve -23*h - 137 = -7*h + 55 for h. -12 Solve -118798*c = -118843*c - 540 for c. -12 Solve 10*h - 373 = -20*h - 13 for h. 12 Solve -56*d = -26*d - 340 - 20 for d. 12 Solve 158*n + 1 - 475 = 0 for n. 3 Solve 9*k = 182 + 182 - 400 for k. -4 Solve -8*v + 39*v - 550 = 6*v for v. 22 Solve -8*o - 269 + 116 = o for o. -17 Solve -23 = 14*c + 89 for c. -8 Solve 101*t + 5250 = -74*t for t. -30 Solve n + 0*n - 10*n + 45 = 0 for n. 5 Solve 1299*f - 1288*f = -121 for f. -11 Solve -398*x = 5847 + 919 for x. -17 Solve -97*x = -22*x - 225 for x. 3 Solve 24*x + 188 + 135 = -13 for x. -14 Solve -107 - 35 = -26*s - 454 for s. -12 Solve 98*k - 632*k + 1652 = 10196 for k. -16 Solve 2*k + 70 = 72*k for k. 1 Solve 50*p + 207 = -860 - 533 for p. -32 Solve 11*w - 190 = -10*w - 22 for w. 8 Solve -101260*j = -101264*j + 8 for j. 2 Solve -155*a + 105*a - 284 - 216 = 0 for a. -10 Solve 10*z = 436 - 228 - 228 for z. -2 Solve 23 = 67*w - 44 for w. 1 Solve 1164 = 7*c + 1276 for c. -16 Solve 376*u - 13*u - 1456 = -u for u. 4 Solve -18*i + 276 = 15 - 45 for i. 17 Solve -1028*g - 787*g = -227*g + 23820 for g. -15 Solve -147*v = -890*v - 10402 for v. -14 Solve -19*h - 893 = 73*h + 579 for h. -16 Solve -3094 = -23*p + 31*p + 83*p for p. -34 Solve 4*i + 700 = -7*i + 36*i for i. 28 Solve 0 = 1121*x - 1165*x - 1147 + 135 for x. -23 Solve -5 - 29 = -35*c + 1 for c. 1 Solve 437 = 221*t + 1542 for t. -5 Solve -306*c = -336*c - 45 - 105 for c. -5 Solve -13678*x + 13670*x = -144 for x. 18 Solve -205*r = -207 + 385 + 437 for r. -3 Solve 25*b - 172*b = 226*b + 5968 for b. -16 Solve -1425 = 14446*i - 14389*i for i. -25 Solve -57664*a = -57638*a + 286 for a. -11 Solve -51*w = -1013 + 248 for w. 15 Solve 200*g = 1006 + 1794 for g. 14 Solve 223*o = -231*o + 459*o - 95 for o. 19 Solve -482 = 72*q + 11*q - 1561 for q. 13 Solve 3*a + 385 + 322 = 755 for a. 16 Solve 278*o - 3235 + 177 = 0 for o. 11 Solve 520 + 3239 = 221*z - 219 for z. 18 Solve -18*f - 21*f + 1254 = 75*f for f. 11 Solve -826*n = -825*n - 7 for n. 7 Solve 48*p + 442*p = 129*p - 722 for p. -2 Solve 60*y = -214 - 1106 for y. -22 Solve 94*m = -1601 + 849 for m. -8 Solve -378 = 35987*v - 36041*v for v. 7 Solve 34 - 15 - 334 = 45*a for a. -7 Solve 895*j - 320 = 450*j + 413*j for j. 10 Solve 103*a + 52*a - 1029 = -3044 for a. -13 So
{ "pile_set_name": "DM Mathematics" }
(4/(-6))/((-4)/(-6)). Let c = 5 - -7. Let s be 2/(-3) - (-5)/c. Is s < w? False Let q(d) = d**2 + 23*d + 12. Let u(n) = -n**2 - 24*n - 11. Let r(b) = 5*q(b) + 4*u(b). Let f be r(-18). Are -2 and f non-equal? False Suppose 10 = 3*n - 2, -2*u = 5*n + 6. Is u greater than or equal to 1? False Let z = -9 + 1. Which is greater: z or -6? -6 Let i be 2/220*(32 + 2). Let d = 144 + -1583/11. Let q = d + i. Which is smaller: q or 0.1? 0.1 Let y = 17793/7 + -2546. Let g = 4 + y. Is 0 at least as big as g? True Suppose -3*t - 29 = 5*k, -4*k - 16 = 2*t + 6. Let b be (-7 - t)*(-3)/(-15). Which is greater: b or 0? 0 Let i = -12.05 + 0.05. Let u = i - -11.7. Is -0.3 at most u? True Let h be 88/(-160) + 2/4. Is 0 at least h? True Let s = -2 + 4. Which is greater: 0.4 or s? s Let o(l) = 3*l + 17. Let d be o(-8). Let m = -7 - d. Which is greater: m or 2/13? 2/13 Let o(n) = n. Let m be o(2). Suppose h = m*h. Let u = 429/3277 + -7/113. Do u and h have different values? True Let p = 1 + -2. Let k = -0.02 - -0.05. Which is bigger: p or k? k Let p = -40009 - -1080619/27. Let u = p - 14. Do -1 and u have the same value? False Let c(f) = -f + 1. Suppose 15 = 3*k - 8*k - 4*j, 4*k = 4*j - 12. Let l be c(k). Suppose l*g + 25 = -g. Which is greater: g or 0? 0 Let f = 57 + -227/4. Are 1/8 and f unequal? True Let w = -3374782/21 + 160673. Let k = w - -103/3. Which is greater: 2 or k? k Suppose r + 2 = 1. Suppose -x + l - 23 = -3*x, -5*l + 70 = 5*x. Let u be (8/x*1)/2. Which is bigger: u or r? u Let y be ((-18)/(-4))/((-1)/(-2)). Suppose 4*l - 5*z - 1 = 0, -y = 4*l - 3*z - 0. Let s be l/3 + 18/10. Is s <= 2? True Let g = 2194/9 - 244. Suppose 0*f - 2*f + 2 = 0. Suppose i = -0*i - f. Which is smaller: g or i? i Let j = 0 + -0.4. Let n = j - -0.3. Let p = -134 + 672/5. Which is greater: p or n? p Suppose -3*i + 31 = 1. Let c be ((-12)/i)/(12/(-40)). Suppose c*u = 2*u + 2. Which is greater: -1/3 or u? u Let d(m) = 2*m**2 - 40*m - 1. Let y be d(19). Is -40 <= y? True Let m be 2/5*(0 + 40). Suppose -5*t - m = 3*x - 4, -5*x + 4*t = -17. Suppose 4*h + x = -7. Which is greater: h or -1? -1 Let k = -0.04 - 19.96. Let j = -27 - k. Which is bigger: 1 or j? 1 Let p = -6/187 - 5761/1122. Let j = -319/60 - p. Let c = j + -71/60. Which is greater: c or -1? -1 Let i(z) = -z**3 + 4*z**2 - z - 3. Let w be i(3). Let v be 12/(-9)*w/2. Let q be -1 + (-74)/(-26) + v. Is q equal to 2? False Let n be 11*(-3 - 3)/3. Let t = n + 70/3. Which is smaller: t or 1? 1 Suppose 3*g - g = 7*g. Which is smaller: -6/5 or g? -6/5 Suppose 0 = -2*s - s. Let l = s - 5. Let i = l - -4. Which is bigger: -3 or i? i Let m be 3/16*(-8)/(-54). Which is smaller: m or 0? 0 Let i be 940/(-8)*(-1)/1. Let q = -114 + i. Suppose k + 2*k = 9. Is k less than q? True Let g = 23 - 27. Let z = -0.1 + 0.2. Which is greater: g or z? z Suppose -a + 5*i = 4*a + 10, i = -5*a + 8. Let b = a + -2. Do -1/9 and b have different values? True Let f(d) = d**3 - 4*d**2 + 2*d - 3. Let a be f(4). Suppose 3*r - 2*u - 7 = 0, a*u - 15 = -3*r - 43. Let m be 3/((-6)/(-4)) - r. Is 1 not equal to m? True Let a(i) = i**3 + 3*i**2 - 5*i - 4. Let v be a(-4). Suppose 15 = 3*h - v*h. Suppose -3 = 3*g + 3*w, -h*w - 16 = 4*g - 7. Which is greater: g or 3? g Let j = 2.11 - 0.11. Which is bigger: 0.4 or j? j Let r = 0.5 - -0.5. Let v = -3 - -2.8. Let t = 0.4 + v. Which is bigger: t or r? r Suppose l + 10 = -4*l. Which is greater: -3/2 or l? -3/2 Let z be 12/32 - (-18)/80. Suppose -3*d = d + 5*k + 12, -2*k - 3 = d. Let y = 4 + d. Which is smaller: z or y? z Let t be 1/2*(1 + (-9)/(-6)). Which is smaller: t or 1? 1 Let l = 52 + -47.8. Let d = -4 + l. Is -5 < d? True Suppose -4*a + 3*i = -23, 18 = 4*a + i - 3*i. Suppose -l = 7*t - a*t + 75, 3*t + 27 = 3*l. Are -15 and t equal? False Let v = -2.2 + 2. Let n = 10 - 9.8. Which is smaller: n or v? v Suppose -3 = -3*b, 6*y - 2*b + 18 = 2*y. Let t(k) = -k**3 - 5*k**2 - 2*k + 3. Let v be t(-3). Let n = v - y. Which is bigger: -4 or n? -4 Let g = -262/5 - -52. Is 0.8 > g? True Let k(v) = 6*v**2. Let w be k(3). Let n = w + -215/4. Suppose -4*r = -2*r - 2*p + 8, 0 = -5*r + p - 8. Which is bigger: r or n? n Suppose 4*r - 2*x = 3102, -2*r + 6*r + 3*x - 3077 = 0. Let t = r - 22419/29. Which is smaller: t or -1? -1 Suppose -5*w + 4 = -11, 5*t - 4*w - 63 = 0. Which is smaller: 12 or t? 12 Suppose 0*i + 2 = -2*i. Suppose -2*h + 51 = -3*q, -4*q - 32 - 22 = 2*h. Let m be q/(-65)*2/(-3). Is i at least as big as m? False Let j = 4 + -2. Let h be (j + -2)/(-6 - -3). Which is bigger: h or -1/5? h Let r = 2/3 - 4/15. Is r != 10? True Let j(o) = -44*o**3 - 2*o**2 + 2*o - 1. Let g be j(1). Let z = g + 134/3. Which is greater: 0 or z? 0 Let w be 7/5 + 2/(-5). Let k be (0 - w) + (-42)/(-36). Is k smaller than 1? True Suppose 0 = -5*d + 3*f + 48, -4*d - 3*f + 17 = -16. Let u be 48*(33/d - 3). Let i = u - 95/3. Is 0.1 at least as big as i? False Let d be (1 + 5)*(3 - 7/3). Let v(k) = 4*k - 6. Let o be v(5). Let w be (-16)/(-7) - d/o. Is 1 at least w? False Suppose 6*t - t + 35 = 0. Suppose 0 = 3*f - 5*f - 4*w, -5*w - 9 = -2*f. Let i be (-44)/t - f/7. Is 5 at most as big as i? True Suppose n - 7 = -3*s, -4*n - 2*s - 3*s = -21. Suppose 0 = -2*t - t + k + 16, 0 = -t - n*k + 1. Suppose -r = t - 3. Which is smaller: -3/5 or r? r Let s = 4 - 3.7. Let m = -0.4 + s. Let z = -5.7 + 6. Which is smaller: z or m? m Let j be (-2 - -4 - 7) + 208/52. Suppose 5*s + 5*o = -5, -4 = s + 3*s - 4*o. Do j and s have different values? False Suppose -6*k = -4*k - 4*k. Which is smaller: k or 1/25? k Suppose 2*t + 4 = 0, a = -a + 4*t + 8. Which is smaller: a or 1/7? a Suppose -1 = l - 0. Is -1/29 at most as big as l? False Suppose -i - 6 = i - 4*u, 0 = -4*i + 4*u. Let m = 5 - i. Suppose -3*w - m = 4. Does w = -1? False Let r = -1 + -3. Let z = 0.051 + 4.149. Let t = z + r. Which is bigger: t or -1? t Let d(s) = -10*s. Let r be d(-1). Let k = r - 16. Let u be k/3 + 3 + 0. Is u greater than or equal to 0? True Let v = -34 - -24. Let m = -10.3 - v. Which is smaller: 0 or m? m Let y = 0.29 - 7.69. Let j = y + 0.4. Is -2/5 smaller than j? False Let i = -2.02 + 0.02. Suppose s - 4*b + 2 + 4 = 0, -2 = 2*s - 3*b. Suppose -x - s*x = 0. Which is smaller: i or x? i Suppose 0*y + 6 = -y. Let i(r) be the first derivative of -r**3/3 - 7*r**2/2 - 6*r - 2. Let l be i(y). Are -1/5 and l unequal? True Let x = 0.9 + -1. Let i = 7.15 + -7. Let j = -0.05 - i. Is x <= j? False Let s = 2 + -8. Which is bigger: -5 or s? -5 Let j = 0 + 0.03. Let v = 18 - 18.23. Let g = v + j. Is g > -1? True Let z = -55/102 + 2/51. Suppose -5*v = 3*k + 24, 3*k = -2*v + 10 - 34. Let r = -8 - k. Which is smaller: r or z? z Let c = 1 + -5. Let r = 3 + c. Is -1/6 != r? True Let a = -129/1241 - 1/73. Which is greater: a or -1? a Let j be (-9)/6*(-6)/(-36). Suppose 0 = 5*k + 2*o - 4, -o = 6*k - 3*k - 3. Let d be (k/3)/(-2)*-3. Is d greater than or equal to j? True Let q = 20 + -30. Is q <= -11? False Let g(i) = i**2 - 8*i + 4. Let u be g(7). Let r be 2 + 82/86 + u. Which is greater: r or 1? 1 Let z be -3 - -1 - 2/4. Let u = z - -3. Let j = 10 - 12. Is j at least u? False Suppose 9*p - 12 = -3. Let l be (-22)/40 - (-3)/12. Which is bigger: p or l? p Suppose -5*p - 6*p = 2*p. Does p = 1/4? False Let o be (-3 + 2)*(1 + -2). Which is smaller: 3/2 or o? o Let s be 192/693 - 3/((-99)/(-6)). Is 0 > s? False Let j = -17569535/176 + 99826. Let c = j - -13/16. Is c equal to 0? False Let r = -4.623 - -0.023. Let n = -15 - -20. Let k = n + r. Which is bigger: 0 or k? k Let l be ((-45)/(-10))/((-2)/4). Let t be ((-6)/l)/((-2)/(-3)). Let q be (228/(-51))/(-4) - t. Which is smaller: 1 or q? q Let y(u) = u - 4. Let d be y(4). Which is smaller: 2/81 or d? d Let x be 2/1 - (-90)/(-42). Let z(g) = 2*g - 1. Let j be z(-2). Let d be (j/15)/(2/(-6)). Which is smaller: x or d? x Let w = -2 - -1.4. Let j = w - -0.59. Let m = j - -0.01. Is m at most 1? True Let g be (-21)/(-6) - (-3)/6. Suppose -3*i + 2*y = -2*i - 30, -4*y = -g*i + 120. Suppose 5*v - b + 6*b = -i, -20 = -5*v + 5*b. Is -2 greater than v? False Suppose 0 = 2*l + o - 20, 44 = 2*l + l - 2*o. Let h = 14 - l. Let f be (-1)/(-6) + (-2)/(-6). Which is greater: f or h? h Let m be (-60)/(-209) - 14/77. Let b be (5 + 3)*(-6)/(-8). Suppose -5*l = -3*u - 14, 5*u = -l + b*l - 20. Is
{ "pile_set_name": "DM Mathematics" }
5 -6377.555205 What is 3 minus 12239614938? -12239614935 1312 + 3176.948 4488.948 What is 759313.9718 plus 0.103? 759314.0748 What is -21443 + 2.16279? -21440.83721 What is -1845027.72151 minus -50? -1844977.72151 -8952139.18209 - 69 -8952208.18209 What is 65975005977 - -1025? 65975007002 What is 36.2 less than 8563749306? 8563749269.8 -7616.738940789+1 -7615.738940789 What is the distance between -154.5 and -1.7563273303? 152.7436726697 Subtract -19348831 from -0.9684303. 19348830.0315697 Work out -748579 + 0.15523318. -748578.84476682 590031308682 - -9 590031308691 Calculate 0.1 - 221.47508808. -221.37508808 What is 88635 less than 292929.203? 204294.203 Add 165599.9155 and 9. 165608.9155 Subtract 60.871 from 47281766. 47281705.129 Subtract 1912803 from 1470.272. -1911332.728 Total of -14 and -183781147963. -183781147977 Sum -59729318074473 and 9. -59729318074464 What is the distance between -4 and 5928477442412? 5928477442416 What is the distance between -0.051 and -8889848884741? 8889848884740.949 What is 642478507680 less than 0.2? -642478507679.8 Work out -1.937 + 8878.78887. 8876.85187 Work out -19968 + 2241596678. 2241576710 What is -3795.31897 + -1627? -5422.31897 Work out 199629075 + -9177. 199619898 Put together 0.12 and 74080056159. 74080056159.12 What is -113643607877 take away 18? -113643607895 Work out 10979416621 - -24. 10979416645 0.1 + 3894770063340 3894770063340.1 Work out -61 - 1252116959680. -1252116959741 What is the distance between 2663.349 and -0.1160704? 2663.4650704 Subtract 4071698.72454 from 91. -4071607.72454 What is -0.3 plus 7641326650? 7641326649.7 Add together -3828041 and -142701404. -146529445 What is the distance between 807125634042306 and 2? 807125634042304 What is -1229647.79 + 9096? -1220551.79 Subtract -0.02 from -100193.543340356. -100193.523340356 Calculate 3727750082 + -347. 3727749735 What is the difference between 913.72 and -28728.93974? 29642.65974 7109314+-2745791 4363523 Work out -0.1147 - -6.3917259. 6.2770259 What is -5583035 + 9319.2981? -5573715.7019 Calculate 1291 + -7169251.1. -7167960.1 Calculate -67745.7255 + -49. -67794.7255 What is -2.5 + 64731432472? 64731432469.5 What is 3529875 minus -916.53? 3530791.53 What is 1560.5 plus -411260.916? -409700.416 Total of 5.1932 and 111576147. 111576152.1932 Subtract -11711944196455 from -0.09. 11711944196454.91 What is -67755 plus -988438.4227? -1056193.4227 4+44908100574453 44908100574457 What is -0.4 take away -146995279655462? 146995279655461.6 What is 64513180.5 take away -1401.09? 64514581.59 What is -2.1685 take away -1707376.76? 1707374.5915 85948818870 - 0.92 85948818869.08 What is the difference between 0.193242382 and -18597? 18597.193242382 What is the difference between 8 and -2890951476.434? 2890951484.434 Work out -1018.97875 - 3997601. -3998619.97875 Total of 83.27626465421 and -8. 75.27626465421 What is the distance between 4 and 23926085221? 23926085217 What is 7145 + 276377284? 276384429 Add -2264 and -1964648.818. -1966912.818 What is -0.715193 minus 31423135? -31423135.715193 Put together -1242581.81 and 12.6. -1242569.21 What is the difference between -323.037401 and -1843? 1519.962599 What is 0.1 + -0.112172508555? -0.012172508555 39145.0951+-30712 8433.0951 Add -7660 and -159749947. -159757607 What is 31.973654 - 6920821? -6920789.026346 Add together -6.1914803 and -4649. -4655.1914803 Sum 6783227.2 and -0.354206. 6783226.845794 769603.9943443 - 0.3 769603.6943443 Calculate -0.4 + -335348287891. -335348287891.4 Work out -2 - 36936596381100. -36936596381102 Total of -0.032378969 and -1410293. -1410293.032378969 -8.22447+7754453 7754444.77553 Total of -47402311112 and -327. -47402311439 Calculate -2127430 - 280888. -2408318 What is the difference between 0.027602 and 227692? 227691.972398 1 - -18210786.77 18210787.77 What is 14.88911 less than -773109? -773123.88911 What is -0.2 + 250463402245.23? 250463402245.03 Sum 35537326 and 0.49724. 35537326.49724 Calculate -12237829 - -94015. -12143814 What is the difference between -2 and 18759.534948501? 18761.534948501 What is the difference between -1 and -796043578.23? 796043577.23 What is 26050431310796 less than -9? -26050431310805 Add together 0 and -10998009543.8. -10998009543.8 Calculate -453 - 180603351727. -180603352180 -0.099+-104758061230 -104758061230.099 Add 268 and -2891922139. -2891921871 -0.03 - -5757080.8184 5757080.7884 What is -0.3 take away -316821.85461? 316821.55461 Sum -0.37 and 262014811552. 262014811551.63 Add together -0.207 and -0.2108219038. -0.4178219038 Total of 3.4 and 0.0207409541. 3.4207409541 Calculate 321136 - -49.74902039. 321185.74902039 Calculate 5701.3661538 - 0.05. 5701.3161538 Total of 57.6 and -774489320617. -774489320559.4 Total of 189 and -331158.78667. -330969.78667 What is 45 take away 3.0714253319? 41.9285746681 What is 1635621845149.3 minus -7? 1635621845156.3 Add together 2137355.24998 and -0.3. 2137354.94998 What is -304.963 minus -7003.47782? 6698.51482 Calculate 13841.668560378 - 0.03. 13841.638560378 What is the distance between 1430309633 and -121? 1430309754 What is 0.2 - -7862777221115? 7862777221115.2 Sum -1.68 and -9448211. -9448212.68 What is the difference between 0.034 and 1102227473819? 1102227473818.966 What is 0.7 less than -4970225486957? -4970225486957.7 Put together -818972.32 and -2400. -821372.32 Add together 463 and 30219541671. 30219542134 What is 633704.69597 plus -3? 633701.69597 Calculate 1215 - 90339286. -90338071 What is -87541616347 take away 1.62? -87541616348.62 Calculate 33.03124 + -175037030. -175036996.96876 Calculate -0.4 - 4276251360034. -4276251360034.4 Sum 0 and -10418680494122. -10418680494122 What is the distance between -0.08430894456359 and -0.4? 0.31569105543641 Add together -10.7 and 2001157289048. 2001157289037.3 -150.519369 + -438 -588.519369 Calculate 29667924639 - -1.48. 29667924640.48 What is 0.4 minus 49587787280? -49587787279.6 -589227.602401989+0.1 -589227.502401989 What is -2 plus 255483345819? 255483345817 -130910+1293.79 -129616.21 What is 8370.9 minus -65.611003? 8436.511003 Sum -4 and -8999899.9504. -8999903.9504 Total of -5771201490 and 0.8945. -5771201489.1055 What is -0.4 minus 45011907034421? -45011907034421.4 Add together -0.07 and 55302318628. 55302318627.93 Add 5361 and -331912426. -331907065 Subtract -0.1 from -74711173154. -74711173153.9 Add together 8295346525 and -941. 8295345584 Subtract 697 from -233658902. -233659599 What is -5 take away -157942649838? 157942649833 Subtract 953821320 from -702. -953822022 Calculate -1.08 + -1954.02186049. -1955.10186049 What is 0.4 plus 2069.37060229454? 2069.77060229454 Put together -0.3 and 193.2996539651. 192.9996539651 Subtract -1180684 from -55355503. -54174819 What is 0.069907631 - 6126? -6125.930092369 What is the difference between -2.1 and -111191202.2? 111191200.1 What is the distance between 1.00909486 and -0.918? 1.92709486 Total of -81574411714637 and -0.4. -81574411714637.4 What is the difference between -0.9811903 and -3.664861? 2.6836707 Add together -2686018.1 and -716542. -3402560.1 Add together 0.08 and -40232423852. -40232423851.92 What is -3417388907.5 minus -0.189? -3417388907.311 Work out -23072497 + -990.9783. -23073487.9783 What is -0.3 take away 1.22287745347364? -1.52287745347364 What is 2627798970892 - -0.2? 2627798970892.2 Put together 6304.579 and 44003. 50307.579 Calculate 2 - -5801.3105287328. 5803.3105287328 What is the difference between 44987.34 and -0.115114? 44987.455114 What is -144.1896522746 less than -0.13? 144.0596522746 What is the difference between 28476.7 and -8945912? 8974388.7 Total of 88.966 and -0.300197. 88.665803 Add 60038.1 and -33077500. -33017461.9 -294895379 + 982 -294894397 Subtract 524953552900 from -180. -524953553080 What is -3 minus -78.82829118242? 75.82829118242 What is 455655 plus 266794475? 267250130 What is -21804707.44 - -13995? -21790712.44 Work out 24.66885487724 - -1.85. 26.51885487724 Calculate -1402 + -132585198. -132586600 Put together 38.82 and 837488658. 837488696.82 Put together 0.3 and 246556127732785. 246556127732785.3 What is -56008 less than -116.7134404? 55891.2865596 Subtract -87.4606 from -33089550. -33089462.5394 Work out -0.3 - 3218237603986.
{ "pile_set_name": "DM Mathematics" }
)). -4*l Let m(h) = 118*h. Let t(z) = 2*z. Give m(t(x)). 236*x Let g(y) = 10*y**2. Let c(p) = 15*p**2. What is c(g(h))? 1500*h**4 Suppose 4 = -r + 3*r. Let y(k) = 5*k**2 - 4*k**r - 3 + 3. Let h(p) be the second derivative of p**4/6 + p. Give h(y(a)). 2*a**4 Let r be 1*(-1)/2*-2. Let o = 1 - r. Let z(j) = -2*j + o*j + j. Let t(s) = s**2. What is t(z(h))? h**2 Let p(r) be the third derivative of 0 + 0*r + 0*r**3 - 1/24*r**4 - 2*r**2. Let h(c) = 2 - 2 + c. Give h(p(t)). -t Let s(m) = 4*m**2. Let q be s(1). Let j(b) = q*b - 2*b - 3*b. Let r(p) = -p. Calculate r(j(l)). l Let a(p) = -15*p - 6 + 6 + 7*p. Let v(w) = 4*w**2. Calculate v(a(s)). 256*s**2 Let p(v) = 2*v. Let k(u) = 3*u - 25. Let m be k(9). Let q be (1 - 2)*-1*3. Let s(w) = -w**m - 3*w**2 - q*w**2. Give s(p(o)). -28*o**2 Let m(s) = -2*s. Let h be 2/3*18/6. Let x(i) = -h - 1 - 2*i**2 + 3. Determine x(m(r)). -8*r**2 Let q(o) = o. Let r(m) = 10*m. Let p(s) = 8*q(s) - r(s). Let w(a) be the second derivative of -a**4/12 + 2*a. What is p(w(f))? 2*f**2 Let a(h) = 3*h - 4. Let t(x) = -4*x + 5. Let y(w) = -5*a(w) - 4*t(w). Let q(s) = 20 - 18*s - 12 - 8. What is q(y(m))? -18*m Let x(p) = -3*p**2. Suppose 2*t = -0*t - 2*h + 8, 0 = -3*t + 4*h - 2. Let b(f) = 4*f**2 - 3*f**t - 2*f**2 - 2*f**2. Give b(x(n)). -27*n**4 Let j(h) = -2*h. Let t(l) = 20*l - 9*l - 12*l. What is j(t(q))? 2*q Let w(z) = -25*z + 9*z + 9*z. Let r(s) = 3*s**2. Give w(r(g)). -21*g**2 Let g(m) = 44*m. Let d(h) = 5*h**2. Determine d(g(q)). 9680*q**2 Let f(x) = x. Let u(p) = 4375*p. What is u(f(z))? 4375*z Let y(v) be the third derivative of -7*v**4/12 - 5*v**2. Let b(q) = -2*q**2. What is b(y(z))? -392*z**2 Let c(j) = -620*j - 2. Let o(m) = -3*m. Give o(c(v)). 1860*v + 6 Let c(u) = -2*u**2. Let a(d) = 11*d**2 - 6*d. Let y(g) = g**2 + g. Let q(s) = a(s) + 6*y(s). What is c(q(f))? -578*f**4 Let i(r) = -4 + 2 + 2 - r. Let s(o) = 12*o**2. Determine i(s(c)). -12*c**2 Let u(o) = -2*o + 5*o - o. Let w(p) = 23*p + 32*p - 60*p. Give u(w(b)). -10*b Let m(w) = 3102*w. Let l(b) = -b. What is m(l(p))? -3102*p Let p(x) = -3*x. Let m(f) = 31*f**2 - 5. What is p(m(n))? -93*n**2 + 15 Let r(b) be the second derivative of b**3/2 + b. Let h(v) = -4*v**3 + 2*v**2 - 1. Let p be h(-1). Let l(a) = -4*a + p*a + 0*a. Determine r(l(g)). 3*g Let o(j) = -2*j. Let g(q) be the third derivative of -13*q**5/60 + 6*q**2. Give o(g(r)). 26*r**2 Let o(i) = 559*i. Let z(d) = -d**2. Give z(o(h)). -312481*h**2 Let i(p) be the second derivative of -p**4/12 - p. Let t(u) = 18 - 18 - 4*u**2 + 2*u**2. Give t(i(w)). -2*w**4 Let x(k) = 13*k**2. Let h(i) = 2*i + 9. Let s(n) = -n - 4. Let p(w) = -4*h(w) - 9*s(w). Determine p(x(l)). 13*l**2 Let u(g) = 10*g. Let p be (-3 + 1)/(16/(-56)). Let n(v) = v + p - 10 + 3. Calculate u(n(d)). 10*d Let n(a) = -5*a. Let j(q) = -6*q**2 + 5*q. Let m(k) be the third derivative of k**5/20 - k**4/8 - 9*k**2. Let p(x) = -3*j(x) - 5*m(x). Determine n(p(r)). -15*r**2 Let j(u) = -2*u**2. Let b(h) = -190*h. Give b(j(k)). 380*k**2 Let p(b) = 82*b**2. Let l(g) = 12*g**2. Determine l(p(d)). 80688*d**4 Let j(x) = -2*x**2. Let s(h) = 300*h. Calculate j(s(t)). -180000*t**2 Let t(k) = 3*k**2. Let a(v) = v + v - 3*v. What is a(t(b))? -3*b**2 Let a be 4/18 - (-2)/(-9). Suppose -5*c + 3*w + 19 = a, -c + 2*w + 10 = 2. Let v(k) = 6*k - c*k - 3*k. Let b(s) = -s. What is v(b(j))? -j Let d = 21 - 17. Let f(q) = -3*q + q + 7*q - d*q. Let a(o) = 7*o. Give f(a(w)). 7*w Let r(o) = -3*o**2. Suppose 0 = 2*d + 5*l + 10, 11 = -d - 4*l - 0*l. Let x(w) = -5 + 3*w + d. What is r(x(z))? -27*z**2 Let u(m) = 2*m**2. Let l(o) = 5*o. Let q(g) = 3*g - 1. Let t be q(-1). Let f(a) = 3*a. Let k(v) = t*l(v) + 7*f(v). Determine u(k(z)). 2*z**2 Let i(x) = -x**2. Let q(o) = -2*o**2 + 5*o**2 - o**2. Calculate i(q(r)). -4*r**4 Let z(i) = i**2 - 5*i. Let l(h) = h**2 - 6*h. Let x(m) = -5*l(m) + 6*z(m). Let a(k) be the first derivative of -7*k**3/3 - 1. Determine a(x(n)). -7*n**4 Let k(a) = -a. Let h(b) = -25*b**2 + 65. Determine k(h(j)). 25*j**2 - 65 Suppose 0 = -4*f + r + 4*r + 16, -5*f = -2*r - 37. Let k(j) = j - 6. Let l be k(f). Let u(c) = 3 - l + c**2. Let d(y) = -y. Determine u(d(i)). i**2 Let u(d) = 4*d + 14. Let f(p) = 2*p + 16. Determine u(f(k)). 8*k + 78 Let n(q) = -2*q. Let k = 31 + -27. Let j(b) = 13*b**2 - k*b**2 - 11*b**2. What is j(n(m))? -8*m**2 Let q(j) = j**2. Let f(z) = -10*z - 364. Calculate f(q(h)). -10*h**2 - 364 Let y(r) = r + 161. Let k(f) = 6*f**2. Determine y(k(a)). 6*a**2 + 161 Let z(h) be the first derivative of h**2 + 11. Let j(w) = -w. What is z(j(o))? -2*o Let s(i) = 105*i**2 - 40*i + 40. Let n(j) = -3*j - 51 + 8*j**2 + 25 + 29. Let m be 1/(1 - 2/3). Let t(u) = m*s(u) - 40*n(u). Let b(z) = z. Determine t(b(y)). -5*y**2 Let d(t) be the first derivative of 2 + 2/3*t**3 + 0*t**2 + 0*t. Let y(o) = -o. Calculate d(y(q)). 2*q**2 Let j(y) = -7*y + 5. Let h be (1 - -2)*4/(-6). Let t(b) = 3*b - 2. Let n(s) = h*j(s) - 5*t(s). Let f(g) = -3*g**2. Give n(f(k)). 3*k**2 Let m(q) = -4*q**2 + 2*q**2 + 3*q**2. Let o(h) = -6 + 3*h**2 - 10 + 16. Determine o(m(a)). 3*a**4 Let m(r) = 1908*r**2. Let x(d) = 3*d**2. Calculate m(x(j)). 17172*j**4 Let x(y) = 11*y. Let k(w) = w**2. Let p(u) = 2*u**2. Let a(s) = -13*k(s) + 6*p(s). Calculate x(a(f)). -11*f**2 Let s(n) = -2*n. Let t(m) be the third derivative of 0*m + 0*m**3 + 0 - 1/12*m**5 - 2*m**2 + 0*m**4. What is s(t(r))? 10*r**2 Let h(b) = 2 + b**2 - 2. Let t(k) be the third derivative of k**4/24 + 8*k**2. Determine h(t(q)). q**2 Let j(n) = 254*n**2. Let v(g) = -2*g. What is j(v(y))? 1016*y**2 Let u(o) = -1. Let p = -10 - -7. Let g(h) = -h - 8. Let q(j) = p*g(j) + 24*u(j). Let t(d) = 2*d. Calculate t(q(k)). 6*k Let v(y) = -y + 5. Let w(z) = z - 6. Let t(l) = 6*v(l) + 5*w(l). Let o(a) = -5*a**2 + 4*a**2 - a**2 + a**2. Give o(t(k)). -k**2 Let p(r) = -r. Let u(i) = -8*i + 3. Let s(c) = -88*c + 32. Let f(t) = 3*s(t) - 32*u(t). What is p(f(k))? 8*k Let d(b) = 882*b - 881*b - 1 + 1. Let i(x) be the first derivative of 5*x**4/24 + x**2 + 1. Let s(n) be the second derivative of i(n). Calculate s(d(f)). 5*f Let t be (10/(-35))/(1/(-7)). Let v(h) = -3*h**t + 6*h**2 + 0*h**2. Let i(s) = 4*s**2. Give v(i(y)). 48*y**4 Let k(u) = 2*u. Let a(w) = w + 64. Give k(a(o)). 2*o + 128 Let r(b) be the second derivative of -b**3/6 - b**2/2 - 2*b. Let j(n) = 4*n + 3. Let t(k) = 2*j(k) + 6*r(k). Let q(p) = 3*p. Give q(t(l)). 6*l Let u(j) = 2*j**2 - 39 + 39. Let p(t) be the first derivative of 3*t**2/2 - 2. Calculate p(u(v)). 6*v**2 Let n(d) be the second derivative of -d**3/6 + 17*d. Let i(m) = -2*m**2. Calculate i(n(y)). -2*y**2 Let i = 763 - 495. Let c(j) = 268 - i - 24*j. Let o(b) = b**2. Determine c(o(h)). -24*h**2 Let w(q) = -2*q. Let o(d) be the first derivative of d**4/12 + 2*d - 1. Let x(n) be the first derivative of o(n). Determine w(x(l)). -2*l**2 Let x(z) = 12734*z**2. Let c(t) = -3*t**2. What is c(x(r))? -486464268*r**4 Let f(b) = 2*b. Let j(i) = -8*i - 5. Let x(y) be the first derivative of -39*y**2/2 - 24*y - 11. Let k = -5 + 0. Let r(o) = k*x(o) + 24*j(o). Calculate r(f(d)). 6*d Let q(b) = b**2 + 5*b + 5. Let j(s) = -5*s - 14 - 7*s - 3*s**2 + 2. Let f(t) = -5*j(t) - 12*q(t). Let y(p) = -2*p. What is y(f(o))? -6*o**2 Let x(k) be the third derivative of -k**5/20 + k**2. Suppose -2*d - 5*n = -16, 8 = 2*d + 3*n - 2*n. Let a(i) = 0*i - 55 + d*i + 55. What is a(x(h))? -9*h**2 Let g(y) = -9*y**2. Let i(r) = 2*r**2 - 78. Give i(g(f)). 162*f**4 - 78 Let k(t) = 0*t**2 - 2*t**2 + 4*t**2 - t**2. Let v(q) be the first derivative of q**2 + 1. What is k(v(b))? 4*b**2 Let o(d) = -3*d**2. Let b(u) = -257*u. Give o(b(j)). -198147*j**2 Let d(v) = 2*v. Let z(b) be the second derivative of -1/6*b**3 + 0*b**2 - b + 0 + 1/20*b**5 + 0*b**4. Let f(c) be the second derivative of z(c). Give f(d(n)). 12*n Let l(t) = 2*t**2. Suppose 3 + 6 = 3*n. Let w(v) = 4*v**2 + n*v**2 + v**2 - 6*v**2. Calculate l(w(k)). 8*k**4 Let b(q) = -q. Let o = 139 + -134. Let j(i) be the third derivative of 0 - 1/60*i**o - 3*i**2 + 0*i + 0*i**3 + 0*i**4. Determine b(j(t)). t**2 Let l(h) = -5727*h. Let j(m) = -m. Give j(l(g)). 5727*g Let g(h) = -5*h + 3*h - 2*h + 3*h. Let m(t) = 144*t**2 - 42*t + 42. Let o(u) = 17*u**2 - 5*u + 5. Let x(r) = -5*m(r) + 42*o(r). Calculate g(x(j)). 6*j**2 Let p(v) = 6*v*
{ "pile_set_name": "DM Mathematics" }
th term of -8, 17, 80, 199, 392, 677? 3*p**3 + p**2 + p - 13 What is the h'th term of 715, 721, 741, 781, 847, 945? h**3 + h**2 - 4*h + 717 What is the b'th term of -5, 3, 49, 157, 351, 655? 4*b**3 - 5*b**2 - 5*b + 1 What is the q'th term of 154, 152, 146, 136? -2*q**2 + 4*q + 152 What is the u'th term of -286, -291, -296, -301, -306, -311? -5*u - 281 What is the j'th term of -8, 80, 234, 460, 764? j**3 + 27*j**2 - 36 What is the k'th term of -105, -257, -397, -519, -617? k**3 - 159*k + 53 What is the y'th term of 30, 43, 64, 93, 130? 4*y**2 + y + 25 What is the j'th term of -116, -243, -372, -503? -j**2 - 124*j + 9 What is the q'th term of 20, 62, 144, 284, 500, 810, 1232? 3*q**3 + 2*q**2 + 15*q What is the m'th term of -321, -635, -949, -1263, -1577, -1891? -314*m - 7 What is the f'th term of 695, 694, 693, 692? -f + 696 What is the p'th term of 18, 24, 30, 36? 6*p + 12 What is the w'th term of 19, 42, 83, 148, 243, 374, 547, 768? w**3 + 3*w**2 + 7*w + 8 What is the f'th term of -337, -1370, -3093, -5506, -8609? -345*f**2 + 2*f + 6 What is the w'th term of -90, -148, -204, -258, -310, -360, -408? w**2 - 61*w - 30 What is the f'th term of -1321, -1322, -1323, -1324, -1325, -1326? -f - 1320 What is the a'th term of 23, 15, -15, -79, -189, -357, -595? -2*a**3 + a**2 + 3*a + 21 What is the z'th term of -2, 15, 30, 43, 54, 63, 70? -z**2 + 20*z - 21 What is the x'th term of 298, 606, 914, 1222, 1530, 1838? 308*x - 10 What is the o'th term of 26, 40, 48, 50? -3*o**2 + 23*o + 6 What is the q'th term of -8, 4, 42, 118, 244, 432? 2*q**3 + q**2 - 5*q - 6 What is the p'th term of 9, 51, 157, 357, 681, 1159, 1821, 2697? 5*p**3 + 2*p**2 + p + 1 What is the s'th term of -1, -49, -189, -469, -937? -8*s**3 + 2*s**2 + 2*s + 3 What is the p'th term of -31, -19, -7, 5, 17? 12*p - 43 What is the o'th term of -25, 45, 237, 611, 1227? 10*o**3 + o**2 - 3*o - 33 What is the f'th term of 23, 32, 41, 50, 59? 9*f + 14 What is the n'th term of -1919, -1912, -1905? 7*n - 1926 What is the g'th term of 38, 33, 28? -5*g + 43 What is the p'th term of -31, -28, -25, -22? 3*p - 34 What is the l'th term of -161, -183, -251, -389, -621? -4*l**3 + l**2 + 3*l - 161 What is the b'th term of -71, -64, -45, -8, 53, 144, 271? b**3 - 72 What is the n'th term of 164, 327, 490? 163*n + 1 What is the x'th term of -136, -134, -130, -124, -116, -106? x**2 - x - 136 What is the l'th term of -42, -72, -90, -90, -66, -12, 78? l**3 - 37*l - 6 What is the y'th term of -16, -4, 4, 2, -16, -56, -124? -y**3 + 4*y**2 + 7*y - 26 What is the a'th term of -62, -90, -94, -62, 18, 158, 370, 666? 2*a**3 - 42*a - 22 What is the y'th term of 3, 5, -1, -15, -37? -4*y**2 + 14*y - 7 What is the a'th term of -212, -220, -242, -284, -352? -a**3 - a**2 + 2*a - 212 What is the y'th term of 1265, 1280, 1295, 1310, 1325? 15*y + 1250 What is the y'th term of 1, 3, 15, 43, 93? y**3 - y**2 - 2*y + 3 What is the d'th term of 145, 289, 433, 577? 144*d + 1 What is the b'th term of 46, 137, 230, 325, 422, 521? b**2 + 88*b - 43 What is the y'th term of 759, 760, 761? y + 758 What is the f'th term of 1634, 1633, 1632, 1631, 1630? -f + 1635 What is the v'th term of -18, -16, -16, -18, -22, -28, -36? -v**2 + 5*v - 22 What is the w'th term of 166, 165, 164, 163, 162, 161? -w + 167 What is the q'th term of -92, -93, -104, -131, -180, -257, -368, -519? -q**3 + q**2 + 3*q - 95 What is the q'th term of 121, 205, 289, 373, 457, 541? 84*q + 37 What is the v'th term of 55, 74, 73, 46, -13? -v**3 - 4*v**2 + 38*v + 22 What is the v'th term of -5, -4, 27, 106, 251, 480, 811? 3*v**3 - 3*v**2 - 11*v + 6 What is the t'th term of -323, -324, -325, -326, -327? -t - 322 What is the k'th term of 19, 88, 203, 364? 23*k**2 - 4 What is the f'th term of -38, -49, -68, -95? -4*f**2 + f - 35 What is the i'th term of -83, -89, -83, -59, -11, 67? i**3 - 13*i - 71 What is the k'th term of -171, -170, -169, -168? k - 172 What is the w'th term of -46, -121, -196, -271, -346, -421? -75*w + 29 What is the s'th term of 159, 151, 131, 93, 31, -61, -189, -359? -s**3 - s + 161 What is the n'th term of 453, 905, 1355, 1803, 2249, 2693, 3135? -n**2 + 455*n - 1 What is the u'th term of 721, 720, 719, 718, 717? -u + 722 What is the y'th term of 366, 361, 346, 315, 262, 181? -y**3 + y**2 - y + 367 What is the r'th term of 36, 116, 256, 462, 740, 1096, 1536, 2066? r**3 + 24*r**2 + r + 10 What is the v'th term of -99, -96, -93, -90? 3*v - 102 What is the g'th term of 311, 620, 929, 1238, 1547, 1856? 309*g + 2 What is the o'th term of -4460, -4456, -4442, -4412, -4360, -4280, -4166, -4012? o**3 - o**2 - 4460 What is the b'th term of 6, -1, -8, -15? -7*b + 13 What is the n'th term of -7, -43, -105, -193, -307, -447? -13*n**2 + 3*n + 3 What is the v'th term of 10, 38, 80, 142, 230, 350, 508? v**3 + v**2 + 18*v - 10 What is the w'th term of 316, 659, 1002, 1345, 1688? 343*w - 27 What is the c'th term of -1805, -3606, -5409, -7214, -9021? -c**2 - 1798*c - 6 What is the j'th term of 864, 865, 864, 861, 856, 849, 840? -j**2 + 4*j + 861 What is the s'th term of 116, 149, 204, 281, 380, 501? 11*s**2 + 105 What is the t'th term of -30, -44, -80, -150, -266? -2*t**3 + t**2 - 3*t - 26 What is the h'th term of -2801, -2802, -2803, -2804? -h - 2800 What is the f'th term of -7832, -15670, -23510, -31352, -39196, -47042? -f**2 - 7835*f + 4 What is the s'th term of 229, 228, 237, 262, 309, 384? s**3 - s**2 - 5*s + 234 What is the b'th term of 157, 158, 159, 160, 161? b + 156 What is the q'th term of -20, -55, -160, -371, -724, -1255, -2000, -2995? -6*q**3 + q**2 + 4*q - 19 What is the x'th term of -234, -184, -120, -36, 74, 216? x**3 + x**2 + 40*x - 276 What is the u'th term of -65, -86, -137, -230, -377, -590, -881? -2*u**3 - 3*u**2 + 2*u - 62 What is the z'th term of 229, 504, 823, 1186, 1593? 22*z**2 + 209*z - 2 What is the b'th term of -314, -319, -324? -5*b - 309 What is the p'th term of 3, 16, 51, 120, 235, 408, 651, 976? 2*p**3 - p**2 + 2*p What is the m'th term of 9284, 9286, 9290, 9296, 9304? m**2 - m + 9284 What is the l'th term of -149, -355, -571, -803, -1057, -1339, -1655, -2011? -l**3 + l**2 - 202*l + 53 What is the v'th term of -366, -406, -518, -738, -1102? -6*v**3 + 2*v - 362 What is the b'th term of -52, -79, -124, -187, -268? -9*b**2 - 43 What is the i'th term of 631, 612, 593? -19*i + 650 What is the c'th term of 7, 0, -7, -14? -7*c + 14 What is the h'th term of 86, 117, 166, 233, 318, 421, 542? 9*h**2 + 4*h + 73 What is the q'th term of -137, -147, -157? -10*q - 127 What is the n'th term of -181, -172, -159, -142, -121, -96? 2*n**2 + 3*n - 186 What is the l'th term of 114, 151, 188, 225? 37*l + 77 What is the g'th term of -87, -178, -269, -360? -91*g + 4 What is the x'th term of 15, 24, 33, 42? 9*x + 6 What is the x'th term of -1860, -1862, -1864? -2*x - 1858 What is the y'th term of -62, -79, -120, -197, -322, -507, -764? -2*y**3 - 3*y - 57 What is the d'th term of 891, 1798, 2705? 907*d - 16 What is the a'th term of -212, -211, -210, -209, -208, -207? a - 213 What is the c'th term of 614, 2473, 5574, 9917? 621*c**2 - 4*c - 3 What is the p'th term of -108, -114, -130, -162, -216, -298, -414, -570? -p**3 + p**2 - 2*p - 106 What is the m'th term of 5567, 5569, 5571, 5573, 5575? 2*m + 5565 What is the d'th term of -1, 37, 75, 113, 151? 38*d - 39 What is the s'th term of 834, 1670, 2510, 3354? 2*s**2 + 830*s + 2 What is the h'th term of -587, -1159, -1715, -2249, -2755, -3227, -3659? h**3 + 2*h**2 - 585*h - 5 What is the r'th term of -5163, -10312, -15447, -20562, -25651, -30708, -35727? r**3 + r**2 - 5159*r - 6 What is the r'th term of -44, -55, -70, -89, -112, -139, -170? -2*r**2 - 5*r - 37 What is the t'th term of -82, -65, -46, -25, -2, 23? t**2 + 14*t - 97 What is the i'th term of -11, -16, -17, -14, -7, 4? 2*i**2 - 11*i - 2 What is the h'th term of 30, 52, 82, 120, 166, 220? 4*h**2 + 10*h + 16 What is the p'th term of 494, 496, 498, 500? 2*p + 492 What is the p'th term of 133, 764, 1815, 3286, 5177, 7488? 210*p**2 + p - 78 What is the i'th term of -88, -186, -284? -98*i + 10 What is the m'th term of -243, -186, -141, -114, -111? -m**3 + 64*m - 306 What is the a'th term of 387, 774, 1161, 1548? 387*a What is the b'th term of 91, 127, 163? 36*b + 55 What is
{ "pile_set_name": "DM Mathematics" }
= 7 + -11. Let s be z(i). Solve -h - s*h = -20 for h. 5 Suppose -16*s + 184 = 7*s. Let q be s/((-2)/(-1))*11/2. Solve u + 18 = q for u. 4 Let f(s) = 5*s**2 + 13*s + 5. Let b(z) = 4*z**2 + 14*z + 6. Let q(r) = -4*b(r) + 3*f(r). Let m be q(-16). Suppose -6 = -m*d + 8. Solve 0 - 2 = d*c for c. -1 Let r(d) be the first derivative of d**3/3 - 4*d**2 + 2*d + 19. Let v be r(8). Let k be (3 + 8/4)*v. Solve 5*y - 15 = k for y. 5 Suppose 0 = -4*j + 6*u + 990, u = 2*j + 2*u - 483. Solve -251*f = -j*f - 8 for f. 1 Suppose -339 - 190 = -54*z - 313. Solve -z*o = -22*o for o. 0 Let l be (-2)/(-9) + (-21918)/(-27). Suppose 41*b - 13*b = l. Solve 0 = 5*z + 9 - b for z. 4 Let g(v) = 256*v**2 + 3*v - 1. Let o be g(1). Let f = o + -258. Solve w = -f*w - 3 for w. -3 Let w(y) = y**2 + 3*y - 6. Let i be w(-7). Let h = 254 - 272. Let x = i + h. Solve -x*p - 3 = 5 for p. -2 Let x(y) = 5*y + 13. Let a be x(-2). Suppose 5*o - 56 = -a*t + 4*t, -2*o + 16 = -2*t. Solve 5*n - o = 2*n for n. 4 Let q(a) = a**2 - 5*a + 4. Suppose 0 = -7*l + 21 + 14. Let p be q(l). Solve -x - p*x - 20 = 0 for x. -4 Let s(o) = -o**2 + 37*o + 379. Let a be s(-9). Let l be (-31)/2*(2 + 0). Let y = l - a. Solve -y*b = -b for b. 0 Let z = 38 + -13. Suppose 0 = q - 6*q + z. Let u(h) = h**2 - 7*h + 2. Let m be u(7). Solve 0 = -t - m + q for t. 3 Suppose 0 = 31*m - 35*m + 20. Let y(f) = 2*f + m*f**2 - 28 - 6*f + 34 - 4*f. Let g be y(2). Solve -5*s = -0*s + g for s. -2 Let c = -14 + -10. Let i = c + 24. Suppose -6 = -3*f - i. Solve -f*m = -6*m for m. 0 Let u be (-2)/((-20)/15) - ((-88)/16 - -4). Let z(c) = c**3 - 2*c**2 + 2*c - 1. Let d be z(1). Let h be (d/(-2))/(0 + 1). Solve u = -j - h*j for j. -3 Let f be ((-45)/(-9) - -20 - 12)*(2 + -1). Solve -f*t + 17*t = 11*t for t. 0 Suppose -4*c + 5*c - 95 = 0. Let q = c + -95. Suppose q - 8 = -4*w. Solve -3*l + 5 = -w*l for l. 5 Let k = -31 - -34. Suppose 2*u - v = 4, -u = -v - 3*v - 2. Suppose 0 = -u*m + 13 + 13. Solve k*x - 4 = -m for x. -3 Let r = -23504 + 23504. Solve r = 6*v + 47*v - 159 for v. 3 Let f be 2/(-4) + 242/44. Suppose -w - f*o - 16 + 9 = 0, -5 = -5*w - 5*o. Solve w*k = -9 + 24 for k. 5 Let o(d) = -d - 4. Let v be o(-5). Suppose 0 = -4*f - 5*g - v - 3, 3*f + 5*g = -3. Let m be ((-8)/(-12)*-6)/f. Solve m*q = -5 - 3 for q. -2 Suppose -9162*l + 9137*l = -543 + 43. Solve -l*d + 182 = 142 for d. 2 Let l be 12 + -21 + (-6)/(18/(-93)). Solve l*u - 80 = 52 for u. 6 Let h = 9 - 3. Let u(v) = -v**3 - 3*v**2 - v + 1. Let z(k) = -3*k**3 - 18*k**2 - 3*k - 10. Let o(q) = 4*u(q) - z(q). Let t be o(h). Solve t*w = 3*w - 20 for w. -4 Let m be ((-11)/22)/((-10)/345*9/12). Solve -12*i + 13 = -m for i. 3 Let r be (796/(-6) - 1) + 9/(-27). Let h = r + 134. Solve 5*t + h = -5 for t. -1 Let u be (-6 - (2 + -2)) + 8/4. Let w be u/(4/2*1). Let p be (-3)/w + 39/26. Solve -m + p*m = -4 for m. -2 Let j(i) = 2*i. Let y(d) = -8*d - 13. Let b(v) = 10*j(v) + 2*y(v). Suppose 5*r = 3 + 32. Let p be b(r). Solve p*u = u - 5 for u. -5 Let q = 1774 + -1752. Solve q*h - 112 = -2 for h. 5 Suppose -i - 2*r - 21 = -6*r, -r + 6 = 0. Solve 16 = -i*n + 34 for n. 6 Let n(u) = -u**2 - 129*u - 2518. Let a be n(-25). Solve 0 = a*l + 49 + 33 for l. -1 Let a be (3734/(-12))/(26/(-468))*4/12. Solve 1871*s = a*s + 36 for s. 9 Suppose 9*g + p + 12 = 13*g - 10, -12 = 2*p. Suppose -4*l = 5*h - 6, 7*l = -3*h + 3*l + 2. Solve g*r - 14 = -h for r. 3 Let q(j) = j**3 - 3*j**2 - 2*j - 5. Let f be q(-4). Let o = -109 - f. Suppose 7*l + l = o. Solve -d - 5 = -l for d. -5 Let z = -54 - -67. Let h = z + 7. Suppose 40*m = 35*m + h. Solve 2*j = 4*j - m for j. 2 Let v = -19492 - -19948. Solve -105*o - v = -48*o for o. -8 Let b(c) = 43*c - 128. Let m be b(3). Solve -m - 19 = -5*y for y. 4 Let b = -23 - -78. Suppose 56*d = b*d + 93. Let q = d + -89. Solve 5*j + 1 = -q for j. -1 Suppose 0 = -20*v - 8 - 12. Let n = v - -4. Solve s = -n*s + 12 for s. 3 Let h(g) = g**3 + 11*g**2 + g + 18. Let s be h(-11). Suppose 4*w = 2*i + 26, 5*w = 4*i + 8 + 26. Solve -s*c + 3 = -w*c for c. 3 Let j be 0 + -7*((-720)/63 + 10). Solve 6*c = -28 + j for c. -3 Let x(s) = -42*s - 156. Let b be ((-25)/(100/8))/((-2)/(-4)). Let c be x(b). Solve -c*j = -11*j + 4 for j. -4 Suppose -4*h = 5*j - 11 - 18, 2*h - 2 = 0. Suppose w - 12 = -n - j, w - 11 = -2*n. Let m be ((-72)/(-27))/((-2)/(-3)). Solve -5*k = -n*k - m for k. 4 Suppose -22 = -6*f - 10. Suppose -5*r + 5*j + 100 = 0, f*r + j - 21 = 19. Solve 0*u - r = -4*u for u. 5 Let i = -145 + 151. Suppose -25 - 143 = -i*q. Solve 5*p - 3 = -q for p. -5 Let i = 23285 - 22752. Solve 605 = -12*o + i for o. -6 Suppose -f = 2*g - 45, 38 - 33 = 5*f. Solve g = 29*b - 65 for b. 3 Let p be 14 - 116*(-10)/40. Solve -p*v + 23 - 66 = 0 for v. -1 Let w be (2 - -1)*(-32 - -33) - -32. Let h be 30/(w/7) + -3. Solve -5*o = -h*o - 8 for o. 4 Let z = 21 - 10. Let g(h) be the first derivative of -h**3/3 - 10*h**2 - 46*h - 11. Let c be g(-17). Solve -c*a = 14 + z for a. -5 Suppose 5 - 5 = -158*k. Solve k = -66*v - 2*v + 476 for v. 7 Suppose 0 = 919*o - 725*o - 25026. Solve 45 = 12*j + o for j. -7 Suppose -125 = 3*v - 113. Let f be (-8)/16*2/v*28. Solve 10 = -f*y + 5*y for y. -5 Let n(o) = o**3 + o**2 - 4*o. Let r(i) = i**3 + 7*i**2 + 11*i + 7. Let k be r(-4). Suppose -15*w + 41 = k. Let g be n(w). Solve 0 = -4*x + 3*x + g for x. 4 Let t = -12 - -21. Let w(n) = -n - 18. Let y be w(-25). Let b be y - (-2)/10*0. Solve b = -4*u - t for u. -4 Suppose 5 = 5*v + 5*z, -5*v + 4*v + z + 9 = 0. Let w = -144 + 144. Suppose 2*u + 3 + 10 = v*s, 5*s - 15 = w. Solve -8 = 3*o + u for o. -3 Let a(v) = -2*v**2 - 21*v + 97. Let u be a(-26). Let o = u + 722. Solve b = o - 10 for b. 3 Let w be ((-18)/12)/(9/(-12)). Suppose 0*v - 5*v = -35. Solve w*i = -v - 1 for i. -4 Suppose -3*c + 4*i + 70 = 0, -5*c - 39*i + 86 = -38*i. Solve c*v - 443 = -389 for v. 3 Let y be 1/(-7) + 2433/(-21). Let p = y + 120. Let l be 1 - (p - 3)*-2. Solve -j = -l*j for j. 0 Let h be 4/(-20)*-2*(1 + -151). Let p be (-15)/(-10)*5*-6. Let t be h/(-16) - (p/(-12) + -4). Solve t*b + 6 = -2 for b. -2 Suppose n = 5*r + 108, -3*n + 5*r - 7*r + 239 = 0. Solve -6*t + n = 65 for t. 3 Let u be (160/128)/((-1)/(-96)). Let p be (-4)/40 - (-2292)/u. Solve 0 = -24*r + p*r - 20 for r. -4 Let y(i) = -2*i**2 - 48*i + 1295. Let q be y(16). Solve -8*c - 28 = -q*c for c. 4 Let q = 86 + -81. Let f = 17 - 12. Suppose q*k - 7 = 3*z + 18, f*k - 5*z - 25 = 0. Solve k*j - 12 = 8 for j. 4 Suppose 0 = -3*b + 9, -4*x + 15 = 6*b - b. Suppose 8*k - 16 + 0 = 0. Solve x = 3*u + 7 + k for u. -3 Let p(k) = -k**3 + 10*k**2 - 10*k + 12. Suppose -14*i + 9 = -11*i. Suppose -3*q - i*d + 11 = -13, -32 = -3*q + 5*d. Let g be p(q). Solve -2 - g = 5*t for t. -1 Let m = -22 - -18. Let z = m + 8. Let w be (-2 + -6)*30/(-15). Solve -w = 4*v + z for v. -5 Let o be (83 + (-30)/6)/2. Suppose -21*i = -24*i + o. Solve 0 = -2*b + i - 9 for b. 2 Suppose -2*q + 3*m = -55, -3*m + 125 = 5*q - 2. Suppose 0 = q*h - 20*h - 126. Solve f = 8*f + h for f. -3 Let d(m) = -12*m**3 + 73*m**2 - m + 10. Let o be d(6). Solve -6*f = -28 + o for f. -2 Let l(j) = 2*j**2 + 1. Let z(g) = -9*g**2 - 13*g - 31. Let m(f) = 4*l(f) + z(f). Let t be m(-10). Solve 0 = -0*x - t*x for x. 0 Let c = 5960 - 5950. Solve -44*j + 46*j + c = 0 for j. -5 Let c(f) = -f**3 - 13*f**2 - 13*f + 7. Let o be c(-12). Suppose o*w - 13*w - 372 = 0. Let p = 64 - w. Solve 0 = -3*m + 4 + p for m. 2 Suppose 0 = 23*d + 3614 - 3775. Solve 307 = d*f + 265 for f. 6 Let b(i) = -13*i - 8. Let j be b(3). Let w be (49/(-1))/((-26)/(-26)). Let c = j - w. Solve c*k - 1 = 1 for k. 1 Let u be 58/4 - (-18)/36. Suppose 2*s = 4*s - f + 5, -5*s + 3*f = u. Suppose 2*i - 5*n + 23 = s, -3*i - n = n - 13. Solve 0 = -d + 2*d - i for d. 1 Let y(o) = -35*o - 205. Let d be y(-6). Suppose -2*j + 55 = j + 5*h, j + d*h - 5 = 0. Solve 7*t = 2*t - j for t. -5 Let h = -218258 - -218261. Suppose 5*l - 25 = -0*l + 4*w, w = 0. Solve 0 = -4*y + l + h for y. 2 Let z be (10 + -2)/1 + 45/(-15). Let r be 6/4 + (-1)/(-2). Suppose -3*f + 13 = r*j - 0*j, -4*f = 4*j - 28. Solve -z*m + 17 + j = 0 for m. 5 Let a be (-28)/(-20) + ((-1332)/(-45) + 3 - -5). Solve a*c - 24*c = 135 for c. 9 Let y be (-2*(-1)/2)/(6/(-30)). Let v = -12 + y. Let x(k) = -k - 9. Let f be x(v). Solve f + 2 = -2*h for h. -5 Let d(y) = -y*
{ "pile_set_name": "DM Mathematics" }
274*k - 21 What is the q'th term of 98664, 98666, 98668, 98670, 98672? 2*q + 98662 What is the b'th term of 6, -344, -688, -1020, -1334, -1624, -1884, -2108? b**3 - 3*b**2 - 348*b + 356 What is the t'th term of 141, 282, 419, 552? -2*t**2 + 147*t - 4 What is the a'th term of -1073, -1101, -1149, -1217, -1305, -1413, -1541? -10*a**2 + 2*a - 1065 What is the s'th term of 195, 839, 1909, 3405, 5327? 213*s**2 + 5*s - 23 What is the u'th term of -31, -110, -239, -424, -671, -986, -1375? -u**3 - 19*u**2 - 15*u + 4 What is the a'th term of -1659, -6621, -14893, -26481, -41391, -59629? -a**3 - 1649*a**2 - 8*a - 1 What is the l'th term of -17798, -17775, -17744, -17711, -17682, -17663, -17660? -l**3 + 10*l**2 - 17807 What is the n'th term of -4045, -8087, -12129? -4042*n - 3 What is the w'th term of 12834, 25670, 38506, 51342? 12836*w - 2 What is the a'th term of -3599, -28823, -97293, -230633, -450467, -778419, -1236113? -3604*a**3 + a**2 + a + 3 What is the m'th term of -290562, -581124, -871686? -290562*m What is the d'th term of -643, -638, -629, -616? 2*d**2 - d - 644 What is the x'th term of 10, 2, -82, -284, -646, -1210? -7*x**3 + 4*x**2 + 29*x - 16 What is the k'th term of -182, -521, -1078, -1847, -2822, -3997, -5366? k**3 - 115*k**2 - k - 67 What is the x'th term of -511947, -511946, -511945? x - 511948 What is the d'th term of -8735, -17477, -26219, -34961? -8742*d + 7 What is the b'th term of 3823, 15328, 34503, 61348, 95863, 138048, 187903? 3835*b**2 - 12 What is the u'th term of 60, -527, -2122, -5229, -10352, -17995, -28662, -42857? -84*u**3 + u + 143 What is the p'th term of -298918, -298905, -298870, -298801, -298686, -298513, -298270? 2*p**3 - p**2 + 2*p - 298921 What is the n'th term of 69972, 69976, 69982, 69990, 70000, 70012? n**2 + n + 69970 What is the g'th term of 2308403, 2308401, 2308399? -2*g + 2308405 What is the j'th term of 643261, 643260, 643259, 643258? -j + 643262 What is the t'th term of 198, 384, 562, 732? -4*t**2 + 198*t + 4 What is the s'th term of -147, -199, -149, 3, 257? 51*s**2 - 205*s + 7 What is the u'th term of -1621, -1798, -1981, -2170, -2365, -2566, -2773? -3*u**2 - 168*u - 1450 What is the j'th term of -69, -180, -369, -636, -981? -39*j**2 + 6*j - 36 What is the m'th term of 118, 449, 780, 1111? 331*m - 213 What is the o'th term of 47, 119, 239, 407, 623? 24*o**2 + 23 What is the j'th term of 850, 1693, 2530, 3361, 4186, 5005, 5818? -3*j**2 + 852*j + 1 What is the r'th term of -1378, -2725, -4072, -5419, -6766? -1347*r - 31 What is the j'th term of -1092, -1121, -1170, -1239? -10*j**2 + j - 1083 What is the w'th term of -19499, -19442, -19385, -19328, -19271? 57*w - 19556 What is the x'th term of -154, -255, -464, -823, -1374, -2159? -7*x**3 - 12*x**2 - 16*x - 119 What is the g'th term of 47, 232, 753, 1778, 3475? 28*g**3 - 11*g + 30 What is the r'th term of -126, -376, -794, -1380, -2134? -84*r**2 + 2*r - 44 What is the i'th term of 617, 1253, 1935, 2663, 3437? 23*i**2 + 567*i + 27 What is the q'th term of 246, 703, 1370, 2247? 105*q**2 + 142*q - 1 What is the t'th term of -763, -1195, -1627? -432*t - 331 What is the z'th term of 212495, 212493, 212491, 212489, 212487? -2*z + 212497 What is the g'th term of 594317, 1188635, 1782953, 2377271, 2971589, 3565907? 594318*g - 1 What is the i'th term of -1999, -3976, -5951, -7924, -9895, -11864? i**2 - 1980*i - 20 What is the x'th term of 128, 915, 3038, 7163, 13956, 24083, 38210? 111*x**3 + 2*x**2 + 4*x + 11 What is the w'th term of -259, -978, -2173, -3844? -238*w**2 - 5*w - 16 What is the h'th term of -25, -123, -293, -535? -36*h**2 + 10*h + 1 What is the i'th term of 2051, 2021, 1917, 1703, 1343, 801? -6*i**3 - i**2 + 15*i + 2043 What is the h'th term of 9830, 9845, 9870, 9905, 9950, 10005, 10070? 5*h**2 + 9825 What is the u'th term of -149, -184, -199, -182, -121, -4? 2*u**3 - 2*u**2 - 43*u - 106 What is the t'th term of -4048, -7689, -11330, -14971, -18612, -22253? -3641*t - 407 What is the q'th term of 144, 332, 510, 672, 812? -q**3 + q**2 + 192*q - 48 What is the o'th term of -11175, -11147, -11073, -10929, -10691, -10335, -9837, -9173? 4*o**3 - o**2 + 3*o - 11181 What is the l'th term of 504, 441, 302, 57, -324, -871, -1614, -2583? -5*l**3 - 8*l**2 - 4*l + 521 What is the y'th term of 7, 17, 23, 25, 23, 17? -2*y**2 + 16*y - 7 What is the v'th term of 767, 1520, 2229, 2870, 3419? -4*v**3 + 2*v**2 + 775*v - 6 What is the d'th term of 65098, 65077, 65056, 65035, 65014? -21*d + 65119 What is the l'th term of -511, -541, -591, -661? -10*l**2 - 501 What is the j'th term of -1205, -5258, -12013, -21470, -33629? -1351*j**2 + 146 What is the j'th term of 44, -160, -714, -1792, -3568, -6216, -9910? -29*j**3 - j**2 + 2*j + 72 What is the s'th term of -2096, -4122, -6094, -8012? 27*s**2 - 2107*s - 16 What is the w'th term of 351, 314, 253, 168, 59, -74? -12*w**2 - w + 364 What is the l'th term of -639, -413, -187, 39? 226*l - 865 What is the l'th term of 522, 735, 948, 1161, 1374? 213*l + 309 What is the o'th term of -1542, -6094, -13666, -24258, -37870, -54502, -74154? -1510*o**2 - 22*o - 10 What is the c'th term of 39, 227, 757, 1803, 3539, 6139, 9777? 29*c**3 - 3*c**2 - 6*c + 19 What is the j'th term of -7416, -7464, -7592, -7842, -8256, -8876, -9744? -7*j**3 + 2*j**2 - 5*j - 7406 What is the t'th term of 2860, 2588, 2316, 2044? -272*t + 3132 What is the o'th term of -115155, -115159, -115163? -4*o - 115151 What is the c'th term of -247, -632, -1373, -2650, -4643? -30*c**3 + 2*c**2 - 181*c - 38 What is the d'th term of -13487, -53952, -121393, -215810, -337203? -13488*d**2 - d + 2 What is the o'th term of 235629, 235631, 235633? 2*o + 235627 What is the m'th term of -332223, -332214, -332205, -332196? 9*m - 332232 What is the c'th term of 220, 214, 218, 232? 5*c**2 - 21*c + 236 What is the v'th term of 11589, 11585, 11581? -4*v + 11593 What is the n'th term of -2474, -4930, -7372, -9800, -12214, -14614, -17000? 7*n**2 - 2477*n - 4 What is the y'th term of -29005, -58009, -87015, -116023, -145033? -y**2 - 29001*y - 3 What is the r'th term of 6095, 12144, 18193, 24242, 30291? 6049*r + 46 What is the o'th term of -859, -3849, -8833, -15811, -24783, -35749? -997*o**2 + o + 137 What is the w'th term of 210, 918, 2108, 3780, 5934, 8570? 241*w**2 - 15*w - 16 What is the x'th term of -1728, -3450, -5168, -6882, -8592, -10298, -12000? 2*x**2 - 1728*x - 2 What is the k'th term of 112, 182, 330, 580, 956, 1482, 2182, 3080? 4*k**3 + 15*k**2 - 3*k + 96 What is the r'th term of 19411, 38834, 58263, 77698, 97139, 116586, 136039? 3*r**2 + 19414*r - 6 What is the q'th term of -71, -226, -571, -1202, -2215, -3706, -5771? -16*q**3 + q**2 - 46*q - 10 What is the k'th term of 18132, 18150, 18168, 18186, 18204, 18222? 18*k + 18114 What is the v'th term of -1902, -7623, -17152, -30489, -47634, -68587? -1904*v**2 - 9*v + 11 What is the h'th term of 89, 319, 689, 1187, 1801, 2519, 3329, 4219? -2*h**3 + 82*h**2 - 2*h + 11 What is the r'th term of -4, -8, 2, 32, 88, 176, 302, 472? r**3 + r**2 - 14*r + 8 What is the o'th term of -235647, -471298, -706949? -235651*o + 4 What is the d'th term of -1775, -1732, -1661, -1562, -1435, -1280? 14*d**2 + d - 1790 What is the t'th term of 409, 427, 479, 583, 757, 1019, 1387, 1879? 3*t**3 - t**2 + 407 What is the c'th term of 13881, 13888, 13895, 13902, 13909, 13916? 7*c + 13874 What is the m'th term of -35179, -35172, -35163, -35152, -35139, -35124? m**2 + 4*m - 35184 What is the v'th term of -9651, -9711, -9773, -9837, -9903? -v**2 - 57*v - 9593 What is the o'th term of 115700, 231392, 347086, 462782, 578480, 694180? o**2 + 115689*o + 10 What is the i'th term of -14044, -56261, -126614, -225097, -351704, -506429, -689266? i**3 - 14074*i**2 - 2*i + 31 What is the j'th term of 1, 232, 611, 1138, 1813, 2636, 3607? 74*j**2 + 9*j - 82 What is the r'th term of -5178, -10519, -15860? -5341*r + 163 What is the b'th term of 816, 2025, 4024, 7209, 11976, 18721, 27840? 66*b**3 - b**2 + 750*b + 1 What is the i'th term of 845, 3396, 7667, 13664, 21393, 30860, 42071? i**3 + 854*i**2 - 18*i + 8 What is the o'th term of 70178, 70180, 70182, 70184? 2*o + 70176 What is the b'th term of -1911, -1531, -1129, -693, -211, 329, 939, 1631? 2*b**3 - b**2 + 369*b - 22
{ "pile_set_name": "DM Mathematics" }
ps. -0.000193 Suppose 10*n = 610291 + 66279. Let k = n + -123257. What is k rounded to the nearest ten thousand? -60000 Let t be 305/(-2 + (-3)/324*-218). Suppose 5*k - 730 = t. What is k rounded to the nearest 1000? 3000 Let p = 28816350418.359992586 - 28816345062.36. Let d = p - 5356. What is d rounded to 7 decimal places? -0.0000074 Let m = 38 - 37.35. Let k = m + -0.413. What is k rounded to 1 decimal place? 0.2 Suppose 4*h - 21*h = -884. Let g be h/(-338) + (-209424)/39. What is g rounded to the nearest 1000? -5000 Let m = 62368303.224198353 - 62368303. Let h = 0.2242 - m. Round h to seven dps. 0.0000016 Let y = -4.122 + -0.478. Let q = y - -4.815. Round q to one dp. 0.2 Suppose 67*n - 60*n = 8330. Suppose 5*c = n + 1335. Round c to the nearest 100. 500 Let l = -90940631.0000113 + 90940604. Let w = 29 + -56. Let b = w - l. Round b to 6 decimal places. 0.000011 Let v = 2758 - 1087. Let w = -2731 + v. Round w to the nearest 100. -1100 Suppose -26*f + 27*f = 6. Let d(j) = 1508*j - 25. Let m be d(f). Suppose -9482 = -5*o + 5*y + m, 4*o + 2*y = 14798. Round o to the nearest one thousand. 4000 Let u = 110 + -76.28. Let o = u - 47.71. Let d = o + 11. Round d to the nearest integer. -3 Let l(w) = 16*w - 49. Let s be l(-5). Let y = -919 - s. Let q be y*((-2)/(-8) + 20005/(-20)). What is q rounded to the nearest 100000? 800000 Let a = -12.6 - -5.37. Let d = -7.1962 - a. Round d to 3 dps. 0.034 Suppose -4*i = -2*c - 5063302 - 708670, 4*c + 11544028 = -4*i. What is c rounded to the nearest 10000? -2890000 Let v be 1 + 228494 + -2 + (-24)/104*13. What is v rounded to the nearest ten thousand? 230000 Let i be 2 - 32843847/17 - 11. Round i to the nearest 10000. -1930000 Let p = -1568191 - -245185. Suppose 53*q - 52*q + 653006 = 0. Let r = p - q. Round r to the nearest 100000. -700000 Let g = 0.15 + -0.207. Let a = g - 0.387. What is a rounded to 1 dp? -0.4 Let g = -16627 + 16627.07401. Round g to two dps. 0.07 Let m = -37 - -28. Let p = 45 + m. Let v be 1 - 44/p - 39956/18. What is v rounded to the nearest 100? -2200 Let v = 41777187.00403 - 41776697. Let a = v - 490. Round a to 3 decimal places. 0.004 Let q = 774 + -199. Let u = 574.99998776 - q. Round u to 6 dps. -0.000012 Let s = 7.32 - 27.57. What is s rounded to the nearest integer? -20 Let x = 3463101.3759806 - 3463101. Let t = 0.376 - x. What is t rounded to 6 dps? 0.000019 Let l = -0.3815 + -3.8285. What is l rounded to two decimal places? -4.21 Let q be 46767/(-12) - (17/(-17))/4. What is q rounded to the nearest 1000? -4000 Let g = -273 - -278. Let h(w) = 2541050*w + 4. Let a be h(2). Suppose -a = -g*q - 1082104. What is q rounded to the nearest 100000? 800000 Let d = 21.91987 - 21.829. What is d rounded to two dps? 0.09 Let o = -419.39272 + -0.24728. Round o to the nearest ten. -420 Let p = -52.6 + 50.6544. Round p to one decimal place. -1.9 Suppose 4*x = w - 51, -2*w - w - 43 = 2*x. Let m(p) = p**2 + 13*p - 38. Let b be m(x). Round b to the nearest integer. -24 Let x = -512.28 + -10.72. Let r = 522.999999771 + x. What is r rounded to seven dps? -0.0000002 Let y = -21.5012 + 0.1712. Let i = y - -21.31613. What is i rounded to three decimal places? -0.014 Let z = 3.8625 + -3.8. What is z rounded to 2 dps? 0.06 Let x = 240 + -134. Let g = -103 + x. Suppose q = g*r + 3568, -10 = 6*q - q. What is r rounded to the nearest 1000? -1000 Let v be ((-106)/6)/(0 + 1/(-3)). Let o = -42 + v. Let y be 118804/(-22) + (13/o - 1). Round y to the nearest 1000. -5000 Suppose -2709 = -4*n - 5*p, n - 2*p - 309 = 352. Suppose -793 = 12*d + n. Let l = -97 - d. What is l rounded to the nearest ten? 30 Let q = 2169.00002854 - 2169. Round q to five dps. 0.00003 Suppose -q = y - 2, -5*q + 7*y = 2*y. Let p be -4 - ((-1)/3)/(q/(-1517988)). What is p rounded to the nearest ten thousand? -510000 Let g be (-3 - 23660489/5) + (-8)/(-10). Round g to the nearest one million. -5000000 Let w = -32641 + 55543. Suppose -5*r - 30848 = w. Round r to the nearest one thousand. -11000 Let f = 5769.54000096 + -5768.98. Let k = f + -0.56. What is k rounded to 6 decimal places? 0.000001 Let m = 75.73351 - -11.06598. Let c = 86.8 - m. Round c to four decimal places. 0.0005 Let h = -1108 + 1183.7. Let d = 10.3 + h. Let s = d - 85.9999794. What is s rounded to six decimal places? 0.000021 Let b = -94 - -75. Let g = -19.00000191 - b. What is g rounded to seven decimal places? -0.0000019 Suppose -3*p = 2*p + 4*g - 15, 5*p - 15 = 5*g. Let m be p/15 + (-638032)/10. Let i be (1 - 2 - m) + (-46)/23. What is i rounded to the nearest 10000? 60000 Let y be (1707310/(-165))/(2/(-600)). Round y to the nearest 100000. 3100000 Let c = 0.5558 + 103.2842. What is c rounded to zero decimal places? 104 Let y = 303.0258 + -303. Let p = y - 0.02579571. What is p rounded to seven decimal places? 0.0000043 Let k be 175892000 - 0*(((-40)/6)/10 + 1). What is k rounded to the nearest one million? 176000000 Suppose 54 = -4*c + 98. Suppose -c*y = -14*y + 15. Suppose 7*f - 2*f = -y*b - 330000, 5*b + f + 330000 = 0. Round b to the nearest one thousand. -66000 Let v = -8605 - -8605.08791. Round v to one dp. 0.1 Suppose 0 = 5*s + 144 + 2256. Let f = s - -335. Let t = -1325 + f. Round t to the nearest 100. -1500 Let o = 255166.3 + -245202. Round o to the nearest one hundred. 10000 Suppose 5*n - 32*d + 154546 = -29*d, 0 = -2*n - 5*d - 61775. Round n to the nearest 100. -30900 Let d = -0.31938220099 + -457.68061304701. Let f = -458 - d. Round f to 6 dps. -0.000005 Let m = -237.0321 - -0.0321. Let u = 239.335 + m. Round u to one dp. 2.3 Let q = 74 + -65. Let z be q/3 - -1 - 3. Let g(d) = -463008*d + 8. Let f be g(z). Round f to the nearest one hundred thousand. -500000 Let z = 130.6801976 + 1.3197324. Let q = z + -132. Round q to six dps. -0.00007 Let a = -30.562 - -30.562042329. What is a rounded to 7 decimal places? 0.0000423 Suppose -w + 40 = 4*w. Suppose -18*o = -16*o - w. Let c be ((-7500)/(-16))/(o/7680). What is c rounded to the nearest 1000000? 1000000 Let z = -79 + 72. Let t = z + 49. Suppose 2*d = 2*g - t, -7*d = -g - 3*d + 9. Round g to the nearest ten. 30 Suppose 36 = 5*h - 0*h + 3*v, 2*h - 4*v - 30 = 0. Suppose 225360000 = -h*c - 9*c. Round c to the nearest one million. -13000000 Let l = 11.3309 + -0.7129. Round l to one dp. 10.6 Suppose -108*d - 3440303 - 3382302 = 4530895. Round d to the nearest 1000. -105000 Let v(f) = -2987*f**2 + 5*f - 4. Let d(w) = w**2 + 2. Let x(n) = -2*d(n) - v(n). Let u be x(8). What is u rounded to the nearest ten thousand? 190000 Suppose -2*q + 7*q + 4*x = -6, 4*q = -2*x. Suppose u = -q*u + 9. Suppose -3*n + 3 = 0, -u*n = -s - 0*n - 4200003. Round s to the nearest one million. -4000000 Let s = 162 - 167.94. Let x = s + 5.940464. Round x to four dps. 0.0005 Let n(v) = -2*v**3 - 2*v**2 + 24*v + 68. Let t be n(-7). Let u(i) = -6*i**3 + 4*i**2 + 3*i - 6. Let g be u(4). Let s = g + t. Round s to the nearest 10. 170 Let r = -58.3 - -58.8675. Round r to 2 decimal places. 0.57 Let d = -171566 + 171573.4541. Let b = d + -7.52. Round b to three dps. -0.066 Suppose -k - 4*g = 5 + 18, 0 = k + 5*g + 18. Let m = k + 47. Suppose 0 = -f + m*v + 66, -3*f + 3*v + 85 + 68 = 0. Round f to the nearest 10. 50 Let f = -93.894 + 93.89357089. What is f rounded to 6 decimal places? -0.000429 Let p = -78680561.43 - -73420148. Let b = p + 5260455.82999138. Let k = b - 42.4. Round k to six decimal places. -0.000009 Let b = 3753181063.04920543102 - 3753181063. Let s = b - -26.95079575898. Let u = -27 + s. What is u rounded to 7 decimal places? 0.0000012 Suppose 4*x - 4 = 12. Suppose -5*m + 4*m - 1695 = 4*p, -x*m = 5*p + 2116. Let r = 24 + p. Round r to the nearest one hundred. -400 Let c = -26.8 + -30.2. Let q = -56.9999 - c. What is q rounded to four decimal places? 0.0001 Let t = 325 - 228. Let i = t + -96.334. What is i rounded to two decimal places? 0.67 Let o = -307.8996 - -49.90065. Let r = o - -258. Round r to three dps. 0.001 Let f = -945 + 1457. Let o = 512.00000712 - f. Round o to 6 dps. 0.000007 Let s = -27 + 32. Let r be (-4536012)/(-30) + (-2)/s. Suppose 0 = -11*k + 4*k - r. Round k to the nearest 1000. -22000 Let b = -1.009 - -3.317. Let c = b + 0.142. What is c rounded to the nearest integer? 2 Let r = 55464.2338749 + -55769.23395. Let y = -30
{ "pile_set_name": "DM Mathematics" }
94 Rearrange (0 + 2 - 3)*(21 + 3 - 5)*(4 - 4 + 13*z)*(z + 0 + 0) to the form d*z + r*z**2 + k and give r. -247 Express 84*k - 30 - 2*k**3 - 45*k - 48*k in the form g*k**2 + q*k**3 + r + b*k and give q. -2 Express 24 - 24 - 37*k + (0 + 2 + 0)*(-2*k + 0*k + 0*k) + 0 - 2*k + 0 + k + k + 3*k - 3*k + 2*k + 0 - 2 in the form b*k + i and give b. -39 Express (2 + 237*h + 175*h - 512*h)*(-2 + 1 + 2) in the form p + y*h and give p. 2 Express -68*p**2 - 2 - 85*p**4 + 92*p**4 - 26*p**2 as i*p**4 + t*p + h + j*p**2 + d*p**3 and give h. -2 Rearrange (458 + 656 - 133)*(2 + 2*s - 2) to the form z + o*s and give o. 1962 Express -32*i**2 - 6*i + 2 - 2*i**3 + 66*i**2 - 22*i**2 as x*i + p*i**3 + k + h*i**2 and give k. 2 Express 423*j + 137*j + 52*j + 132*j - 1 - 1 as x + w*j and give x. -2 Rearrange (-39948*b + 39948*b + 364*b**2)*(b - 2 + 2) to k*b**3 + m + h*b + l*b**2 and give l. 0 Rearrange n**2 - 38*n**2 + 58 - 63 to l + o*n**2 + d*n and give l. -5 Express 3 - 2168*u**2 - 1 + 2159*u**2 + 1 as d*u**2 + j + f*u and give j. 3 Rearrange 1 + 21119*n - 21117*n - 2 - 32*n**2 to j + a*n**2 + c*n and give c. 2 Rearrange (-3*m + 3*m - 5*m)*(-143*m**2 - 27*m**2 - 49*m**2) to d*m + r + p*m**2 + f*m**3 and give f. 1095 Express 193 - 1124 + 403 - b in the form q*b + x and give q. -1 Express -1001*x + 62*x**2 + 1999*x + 2*x**3 - 1000*x as a + u*x + w*x**2 + r*x**3 and give w. 62 Express (-2*l**2 + 3 - 3)*(-16 + 153 + 169) as g*l**2 + k*l + h and give g. -612 Express -1 + d**2 + 1 + ((1 - 1 - 1)*(2 + 2 - 5) + 0 + 2 - 1)*(-239 + 239 - 67*d)*(d + 0*d - 2*d) as c + j*d + g*d**2 and give g. 135 Express (-42*n**2 - 32 + 32)*(2 + 1 + 0) as h + v*n**2 + m*n and give v. -126 Express -55*u**2 + 3*u + 4 - 5 + 48*u**2 + (6 - 1 + 3)*(-u**2 + u**2 - 3*u**2) in the form i*u**2 + n*u + m and give n. 3 Express 2*z**4 - z**4 + z**4 + (75 - 336 - 31)*(2*z**4 - z**4 - 4*z**4) as k + b*z**4 + s*z**2 + u*z**3 + g*z and give b. 878 Express 202*r + 22 - 5*r**2 + 3*r**4 - 5*r**3 - 203*r - 20 as h*r + g*r**3 + b*r**2 + m + q*r**4 and give m. 2 Rearrange 2 + 2*l**2 - 2 + (1 - 1 - 1)*(-198*l**2 + 5769 - 5769) to the form t*l + a + n*l**2 and give n. 200 Express -9 + 2*i**2 - 3*i**2 + 0*i**2 + (-i + 1 - 1)*(-i - i + 3*i) as z*i + s*i**2 + m and give s. -2 Express (4*w**2 - 3*w**2 + 3*w**2)*(4*w - w - w) + 25*w**3 - 5*w**3 + 17*w**3 + 0*w**3 - 3*w**3 + 4*w**3 in the form v*w**2 + l + z*w**3 + n*w and give n. 0 Rearrange (4174 + d**2 - 4119 - 2*d**2)*(d + d + 3*d)*(-3 + 2 + 0) to t*d + w*d**2 + p + n*d**3 and give t. -275 Express (-1 - 5 + 4)*(3*t - 2*t + t) + 0 + 3*t + 0 - 6 - 6*t + 6 - 6*t - 1 - 10*t + 15*t in the form m + a*t and give a. -8 Express 6*p**3 + 0*p**3 - 2*p**3 + (-946*p - 524313 + 524313)*(-2*p**2 - 2*p + 2*p) in the form d*p**3 + r + c*p**2 + m*p and give d. 1896 Express (-o**3 + 3*o**3 - 3*o**3)*(-91 + 91 - 57*o) + o**4 + 7*o - 7*o as u*o**2 + f + m*o + g*o**3 + n*o**4 and give n. 58 Rearrange (-5 + 1 + 5)*(-3*b - 4*b + 5*b - b + b - b - 4 + 2*b + 4 + (0 - b + 0)*(2 - 5 + 1) + 2*b - 22*b - 7*b) to r + i*b and give r. 0 Rearrange 1 + n**3 - 60*n**4 - 10*n + 11*n**2 + 62*n**4 - 11*n**2 to the form w + s*n**4 + b*n**3 + q*n**2 + x*n and give w. 1 Rearrange -3 - 2*o + 4 + 17*o + 12*o - 22 to the form k + d*o and give d. 27 Express (8*q - 51*q - q)*(-12*q**2 - 11*q**2 - 13*q**2) + 0*q**3 + 3*q**3 - q**3 in the form d + n*q**3 + g*q**2 + m*q and give n. 1586 Rearrange (-v**2 + 15*v + 36*v - 33*v)*(-1 + 3 + 2) to r*v**2 + n*v + f and give r. -4 Express -13*c - 3*c**4 - 4*c**2 - 4*c**4 - 1 + 5*c + 5*c in the form l*c**2 + j*c**4 + w*c**3 + p*c + u and give j. -7 Rearrange (1 - 2 + 3)*(39 + 23 - 18)*(-3*y + 3*y - 2*y + (0 + 1 + 0)*(5 - 4*y - 5)) to the form f*y + x and give f. -528 Express (d**2 - 44873*d + 1 + 44872*d - 3*d**2 - d**4)*(4 - 2 - 1) as k + m*d + o*d**2 + c*d**3 + j*d**4 and give c. 0 Rearrange 7*y**2 - 5*y**2 - 51*y**2 - 99*y**2 to the form k*y + m + g*y**2 and give g. -148 Express -8 + 10 + 2*p - 3 - 46*p**2 + 2*p**4 as b*p**2 + z*p + o*p**3 + n + a*p**4 and give a. 2 Express -c**4 - 6 - 23*c**3 - 8*c + 10*c + 4 - 2*c**2 + 0*c**3 as z*c**3 + l + k*c + r*c**2 + j*c**4 and give k. 2 Rearrange -f + 2*f + 2*f + (f + 0*f + f)*(2 - 2 + 2) + (6*f - 5*f - 2*f)*(-2 + 3 + 1) - 2*f + 4*f + f to y*f + m and give y. 8 Express -2579*c**2 - 204*c**3 + 4 + 5153*c**2 - 2572*c**2 as h*c + j*c**2 + n + v*c**3 and give n. 4 Express -350*z**4 - 10*z**3 + 160*z**4 - 2 + 192*z**4 + z**2 in the form d + a*z + h*z**4 + w*z**2 + j*z**3 and give h. 2 Express -476250*y - 330*y**2 + 476250*y as k*y + f + h*y**2 and give h. -330 Rearrange (58*g - 28*g - 36*g)*(-6*g**2 + 2*g**2 + 3*g**2) + (0*g**3 + 3*g**3 + 0*g**3)*(-3 + 4 - 2) + g**3 - 2*g + 2*g to u*g**2 + z + i*g**3 + k*g and give i. 4 Express -7*r**2 - 17 + 20 - 25 - 37 - 14 as k*r + t + w*r**2 and give w. -7 Express 5 - 2 + 167*z**2 - 186*z**2 as j + b*z + x*z**2 and give j. 3 Rearrange (0*l + 21 + l + 0)*(1 + 1 - 1)*(-1 + 0 - 1 + (-4 + 1 + 2)*(3 - 5 + 1) + 0 - 2 - 2 + 4 - 5 + 2) to the form s + z*l and give z. -4 Rearrange 74 + 5*h - 75 - 9*h + h**2 + 29*h**4 + 8*h to k + q*h**3 + r*h**4 + x*h**2 + n*h and give r. 29 Express (-2 - 5 + 5)*(-1630285*q**3 + 1630285*q**3 - 5 - 24*q**4) in the form i*q**3 + h*q**4 + b*q + v + a*q**2 and give v. 10 Express -42*a**2 + 40*a**2 + 3*a**4 - 1 + 3 - 3 + 3*a**3 as y*a**3 + k*a**2 + n*a + s + j*a**4 and give s. -1 Express -4*r**2 + 4*r**2 - r**3 + 122*r**2 + 106*r**2 - 506*r**3 + 505*r**3 + (5*r - 3*r**2 - 5*r)*(-3*r - r + 3*r) as s*r + f + h*r**2 + b*r**3 and give s. 0 Express 11*h**3 + 3*h**3 + 2*h**2 - 13*h**3 - 13 - 9 as w + q*h**3 + t*h + b*h**2 and give b. 2 Express (-4*n - 2812*n**2 + 4*n + 2625*n**2)*(3*n + 2*n - 4*n) as f + b*n + o*n**3 + x*n**2 and give o. -187 Express -782 - 783 + 1565 + 346*n**2 as h + y*n**2 + w*n and give y. 346 Express 3*u - 18*u**3 + 4*u - u - 13*u in the form p*u + s + m*u**3 + d*u**2 and give m. -18 Express 1186 - 523*f - 2370 + 1184 as y + i*f and give y. 0 Express 3 - u**3 + 2249*u - u**4 - 2247*u + 2*u**4 + 41*u**2 as h*u**4 + c*u**3 + p + b*u**2 + r*u and give h. 1 Rearrange 156 - 52 + 9*q - 54 - 50 to the form k + j*q and give j. 9 Express -33*m + 3 - 3 + 24*m in the form j + r*m and give r. -9 Express (-2 + 0 - 1)*(-2 + 4 - 5)*(-2 + 3*a**2 + 4 - 3) as l*a**2 + h + m*a and give h. -9 Express (-117*t + 118*t - 95*t)*(-t + 2*t + 5*t) as l + k*t + z*t**2 and give z. -564 Express (364*a - 203*a - 361*a)*(0*a + 4*a - 6*a) as d*a + j + v*a**2 and give v. 400 Rearrange (-3 + 1 - 11)*(14*x - 10*x - 31*x)*(-x - x + 0*x) to the form m + y*x + u*x**2 and give u. -702 Rearrange (-q + 2*q - 5*q)*(10 + 5 + 8) to the form d + h*q and give h. -92 Express -u + 2 - 3096*u**3 - 3*u**4 + 2*u**4 + 3094*u**3 + u**2 as g*u**4 + j*u + p*u**3 + x + c*u**2 and give x. 2 Rearrange -5 + 12 + 78*m - 3 - 5 to r*m + u and give u. -1 Rearrange (-1 + 0 + v**2 + 3)*(2 + 2 - 1) - 25*v**2 + 18*v**2 + 14*v**2 to the form w*v + h*v**2 + n and give n. 6 Express 35 + 2*b + 4*b - 5*b - 70 as s + d*b and give s. -35 Rearrange 1 - 11 - 2*j - j**3 + 9 - 5*j**4 - j**2 to l*j**3 + r*j**2 + g*j + w*j**4 + n and give l. -1 Rearrange -5 - 3*x**3 - 104*x**2 + 4 + 11*x**3 + 10*x**3 - 20*x**3 to the form m*x + t + j*x**3 + i*x**2 and give m. 0 Express -2208 - 2206 + 4394 - 18*r**2 in the form j*r + b*r**2 + u and give b. -18 Rearrange (5*g + 16 - 16)*(-5 + 3 + 1)*(-6 - 3 - 2)*(-2 - 4 + 4) to q*g + b and give q. -110 Express (w + 0*w - 3*w)*((0*w + 3*w + 6*w)*(-8*w + 7*w - 11*w) - 3*w**2 - 2*w + 0*w**2 + 2*w**2) as f*w**3 + j*w**2 + g + h*w and give f. 218 Rearrange 2*b**3 + 3*b**3 - 3*b**3 + ((0*b + b - 5*b)*(0 + 0 - 2) - 3*b + 4*b - 7*b)*(4*b**2 + 2*b**2 - 4*b**2) to d*b**2 + k*b + r*b**3 + x and give r. 6 Express 7*a**2 + 3*a**3 - 7*a**2 + (-1 + 2*a + 1)*(119*a**2 + 85*a**2 - 26*a**2) as c*a**2 + o*a + n + b*a**3 and give b. 359 Express (-2 + 4 + 6)*(3*g - g - 3*g)*(-274 - 361 + 104) as p*g + d and give p. 4248 Rearrange (-75*o**3 + 40*o**3 + 36*o**3)*(-2 + 1 - 2) + (3*o - 5*o + o)*(0 + o**2 + 0) to the form a*o + z + f*o**2 + c*o**3 and give c. -4 Rearrange 639 - 1288 - 334*c + 648 to b + d*c and give d. -334 Express (2*t + t - 2*t)*(-60*t**2 - 52*t**2 - 93*t**2 + t**2 + t**2 - 3*t**2 + (2*t + 2*t - 6*t)*(-3*t - t + 6*t
{ "pile_set_name": "DM Mathematics" }
5794 less than 102? -5692 What is -0.1 plus -217376? -217376.1 Add together -0.6 and -61.79. -62.39 Work out 41.96274 - 0.5. 41.46274 0.1+-0.0821 0.0179 Subtract 0.2 from 0.129. -0.071 What is 3.3 less than 0.25? -3.05 Work out 4842 + 46. 4888 23614.3+2 23616.3 Work out 0.119751 + 1. 1.119751 Total of 0.09 and 25226. 25226.09 Put together -646.9 and -5. -651.9 Calculate 0.071 + -0.03. 0.041 Put together -2 and -0.277. -2.277 Add -3003 and 0. -3003 Calculate -1.34789 + -0.3. -1.64789 Sum 1 and 209. 210 Calculate -0.845 - 0.027. -0.872 5.15044+-0.4 4.75044 What is -13910 - -7? -13903 Total of -9.3 and -0.8. -10.1 0.1301+3 3.1301 Put together 3506 and -35. 3471 Add together 0.3 and 345. 345.3 Sum 4.063 and 0.4. 4.463 Work out 0.4 + -1.892. -1.492 What is -11.2 take away 20? -31.2 Work out -0.048 - -4.1. 4.052 What is the distance between -0.2 and 4.88? 5.08 Add together 0.4 and 971. 971.4 Total of -0.157 and 25. 24.843 What is -2 plus -131? -133 0.5+-933 -932.5 What is -14 minus 578? -592 What is the difference between -8 and 0.020701? 8.020701 Work out -33.1 - -0.084. -33.016 Sum -15 and 93.14. 78.14 What is -93 + 0.307? -92.693 Work out 4 + 0.3726. 4.3726 What is the difference between 5 and 1.81694? 3.18306 What is 0.9 plus 435? 435.9 0.4 + 34859 34859.4 Work out 4.585 - -7.9. 12.485 What is 1251 less than -107? -1358 What is -0.3 - 475.482? -475.782 Add 172 and 0.3. 172.3 Add together 832891 and 0.7. 832891.7 What is the distance between -0.1 and 1466? 1466.1 Calculate -9.4 - -75. 65.6 What is 799878 - -4? 799882 Put together -0.05 and -21. -21.05 Total of -96 and -2311. -2407 -368 - -1 -367 What is 1 + 4.18? 5.18 Add 35 and 65186. 65221 Sum -0.1085755 and -2. -2.1085755 What is -0.3 - 32.03? -32.33 Put together -4475.7 and -2.5. -4478.2 What is -0.4 less than 0.30349? 0.70349 Sum 0.3288 and 0.08. 0.4088 Add 0.003 and -9. -8.997 Calculate 0.4 - 160444. -160443.6 Work out -137 - -3858. 3721 What is the difference between -0.30633 and -0.04? 0.26633 Calculate -0.1 + -208024. -208024.1 What is -2 plus 0.013243? -1.986757 Calculate 0.5 + -13.796. -13.296 Add -51 and 3633. 3582 What is -2 less than -0.097? 1.903 38.9 + 910 948.9 Total of -2.9 and 80. 77.1 Calculate 0.034265 - -1.6. 1.634265 Work out -0.122 + 4.19. 4.068 What is 0.119 plus 0.042? 0.161 What is 2.8976 take away 8? -5.1024 Sum 38.9 and 32157. 32195.9 What is -1 take away 1097249? -1097250 What is -5 - 62.1? -67.1 Calculate 0.09 + -145. -144.91 -2352.2 - -4 -2348.2 Work out 3.3 + -0.0816. 3.2184 What is -85990 take away -0.5? -85989.5 What is the distance between -75524 and 3? 75527 Sum -6.9 and -3120. -3126.9 What is the difference between -0.06 and -2026301? 2026300.94 What is -431444 plus 6? -431438 Calculate 1.4 - 1123. -1121.6 What is 0.069 + 919? 919.069 What is 4 minus 161455? -161451 Calculate 0 - 9.91. -9.91 Work out 0.06 + -7949. -7948.94 Total of -611 and -27. -638 Work out -138764 - 0.29. -138764.29 Calculate 1.532 + -4. -2.468 Calculate 30.62 + -1. 29.62 3 - 846 -843 Total of -0.12 and -27.545. -27.665 What is the distance between -0.36014 and -1? 0.63986 What is -369352 plus 3? -369349 -3 - 1550 -1553 Work out -1 - 3104. -3105 -1 + -769464 -769465 Total of -0.0151 and 0.0263. 0.0112 Sum 2752 and -4. 2748 -277 + -1.11 -278.11 0.4+-11724 -11723.6 Work out -1241763 + -7. -1241770 Calculate -9 - 100. -109 Total of 32.92 and 0. 32.92 Put together -14.5 and 112. 97.5 7 + 7758 7765 What is 2.46 - 57? -54.54 What is -310.1 - 0.3? -310.4 What is 0.2 less than -0.8266? -1.0266 5.3937+24.3 29.6937 What is -0.47 take away -0.13? -0.34 Add together 24 and -0.210928. 23.789072 Put together -15011 and 0.5. -15010.5 Add 3 and 5.5241. 8.5241 6185+4.8 6189.8 What is 0.1 + -88240? -88239.9 What is 2.375 plus 3? 5.375 Work out -110.8 - 145.7. -256.5 Work out -470 + 8. -462 What is -11894 take away -0.5? -11893.5 Add together -2.4 and -6746. -6748.4 Put together 10.755 and 5. 15.755 Work out -0.31 + -10829. -10829.31 Work out 0.024 + -0.55. -0.526 What is -0.651 - -10? 9.349 Sum -0.06 and -0.659. -0.719 Calculate -0.3 + 3992. 3991.7 What is the difference between -872 and 188? 1060 Subtract 0.0783 from 63. 62.9217 What is the difference between -0.1 and 169.282? 169.382 Calculate -4067.2 + 0.4. -4066.8 Add together 0.12 and -856.4. -856.28 0.03 + -75084 -75083.97 Subtract 0.024 from -4.108. -4.132 Put together 352.56 and -0.4. 352.16 -348 + 0.05758 -347.94242 Work out 36 + 9.869. 45.869 What is 44 + 535? 579 What is 852.05 take away -2? 854.05 What is 31.89 - 10? 21.89 Put together 4.93 and -0.1946. 4.7354 -3138+-70 -3208 What is -14 + 1.54? -12.46 Add -0.05 and -0.292. -0.342 What is 1.877 minus 2? -0.123 Total of 0.3 and -43.8. -43.5 What is 7267 - -7? 7274 What is 163.72 less than -0.839? -164.559 0.4 + -0.2312 0.1688 What is 33244 + 36? 33280 What is 0.04601 - 1? -0.95399 What is 0.046 less than -22472? -22472.046 What is -2904 minus 215? -3119 Subtract -0.1 from -60. -59.9 What is 0.2 - 5425? -5424.8 Subtract -7815 from -1.4. 7813.6 5589 - 0.2 5588.8 1341 - -0.03 1341.03 -0.4 + 0.0768435 -0.3231565 Work out -10.397 - -10.95. 0.553 Calculate 48.77 - -105. 153.77 Work out 623 - 0.0298. 622.9702 What is 690657 plus -3? 690654 1.2 + 276 277.2 What is -0.874 minus 0.0914? -0.9654 What is -34 + 857? 823 -28.4+-0.3 -28.7 What is the difference between 4 and -35234? 35238 Put together 1 and -4.76. -3.76 Add -386 and -2646.4. -3032.4 Sum -0.1 and 9667. 9666.9 What is the distance between -0.026202 and 191? 191.026202 What is the distance between 5.08 and -5? 10.08 2087 + -370 1717 Work out 40376 - -0.3. 40376.3 Subtract -0.4 from 4112. 4112.4 What is 0.4 take away 236? -235.6 Calculate 61 - -71. 132 What is 8 - 0.01737? 7.98263 Put together 197 and 2657. 2854 -621969 + 0.5 -621968.5 What is 0.6 + 6821.16? 6821.76 Work out -2.0101 + 3. 0.9899 Add together 0.3 and -3227. -3226.7 -12 - 45367 -45379 What is -21.43 minus 1? -22.43 What is -496 take away -115? -381 What is 4171 minus 6? 4165 What is 0 less than 52.91? 52.91 3 - 12842 -12839 Calculate 1 - -41426. 41427 Calculate -0.4 - 0.193804. -0.593804 Sum -157 and -248. -405 What is 0.03 take away -15491? 15491.03 What is 0.09 + -49? -48.91 What is -4 plus -0.09384? -4.09384 Add 17.134 and -1.5. 15.634 Add -0.14 and -5347. -5347.14 What is 139 + -184? -45 Add together -3415 and -4. -3419 Subtract 37869 from -2. -37871 -0.6 + -9268 -9268.6 Sum -0.054 and 0.3786. 0.3246 Calculate 0.249 + 11.094. 11.343 Work out 0.7 - 63449. -63448.3 What is the distance between 42.64 and -33? 75.64 -0.3+-23.5422 -23.8422 151.94+1 152.94 0+-64242 -64242 Add together 16 and -0.412. 15.588 470+1796 2266 What is 5314 minus -16? 5330 Subtract 0.053 from 0.02. -0.033 -62.3+0.01 -62.29 Add together -2001 and -5.5. -2006.5 What is -228 less than 0.1151? 228.1151 Work out -95.1 + -24. -119.1 What is 0.4 plus 305? 305.4 -0.14+16.8 16.66 Total of 1017 and 4801. 5818 Work out -192.571 - -2.9. -189.671 What is -0.1 minus 1399876? -1399876.1 What is the difference between -0.2 and -1132332? 1132331.8 Total of 7 and -130.87. -123.87 What is 2.8 minus -3320? 3322.8 What is -0.1 - -40.7919? 40.6919 Put together -56 and -274. -330 What is 10 + 122500? 122510 What is -0.5 take away 34505? -34505.5 Add -29.11 and -4.923. -34.033 Work out 509.6 + -0.02. 509.58 Put together 15.13684 and 0.7. 15.83684 Add 15699 and -0.89. 15698.11 Work out 200215 + -13. 200202 Put together 0.2 and 1590242. 1590242.2 Calculate 950.53 - -0.1. 950.63 Total of -13.9 and -1.4184. -15.3184 What is 0.19 less than 128? 127.81 Calculate -45 - 0.050949. -45.050949 426 + -0.2 425.8 Work out 33592.51 - -0.5. 33593.01 What is the distance between 3 and -809338? 809341 What is -0.89 take away 2847? -2847.89 What is -19.812 + 1.1? -18.712 Add -4.5 and 0.05712. -4.44288 What is -340.391 - -4? -336.391 -2288+-20 -2308 Add together -0.08 and 7531. 7530.92 Add together -1.21 and 1223. 1221.79 Calculate -76 + 13.1. -62.9 Work out -4 + 1365251. 1365247 Work out 0.4 - 305.801. -305.401 Work out 56537 + 0.47. 56537.47 Calculate -2 - 3068621. -3068623 What is -0.043 - 0.527? -0.57 Subtract 3 from 0.208774. -2.791226 Work out -45.326 + -12. -57.326 -2.2 + -0.1167 -2.3167 What is the difference between 1.992 and 0.2193? 1.7727
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of -29475*x*z**3 + 176*x*z + 194*x + z**2 wrt z? -176850*x*z + 2 Differentiate 830011*o*q - 873412*o with respect to q. 830011*o Find the third derivative of -45154*g**4 - g**2 + 565*g + 7. -1083696*g What is the third derivative of 95*d**5 - 48*d**4 - 4*d**3 + 51059*d**2? 5700*d**2 - 1152*d - 24 What is the second derivative of 10716*m**3 - 2671*m - 3 wrt m? 64296*m Find the second derivative of -2*s**3 + 4851*s**2*y - 7*s**2 + 13*s*y + 281*s - 2*y wrt s. -12*s + 9702*y - 14 Find the second derivative of 20*j**4*y + 99*j**2*y - 2*j*y - 20*j + 3*y - 23 wrt j. 240*j**2*y + 198*y What is the third derivative of 7*h**4*w**2 + 7*h**3*w**2 + 4789*h**3*w - 3*h**2*w**2 - 5*h**2 + 8*h*w**2 + 24*h*w + 2 wrt h? 168*h*w**2 + 42*w**2 + 28734*w Find the third derivative of 224590*w**4 - w**2 - 148785. 5390160*w Differentiate -123230*l**3 - 293458. -369690*l**2 What is the second derivative of 5*t**4*w + 7569*t**4*x - 6*t*x - 2*t - 5519*w*x + 2*w wrt t? 60*t**2*w + 90828*t**2*x Differentiate 181*n**3*r*u - n**3*r + 2*n**3 - n**2*r + 59*n**2 + 20*n*u + 2*r*u - 3*u with respect to r. 181*n**3*u - n**3 - n**2 + 2*u What is the first derivative of 1084579*u + 2591600 wrt u? 1084579 Find the second derivative of -1441441*o**4 + 1188589*o wrt o. -17297292*o**2 Find the third derivative of a**6 + 14118*a**3 - 60*a**2 - 6*a + 10 wrt a. 120*a**3 + 84708 Find the second derivative of -35503*f**2 + 22136*f wrt f. -71006 What is the derivative of -g*y**2 + 13912*g - 156665*y**4 + 3 wrt y? -2*g*y - 626660*y**3 What is the second derivative of -3989613*b**3*t**2 + 439*b*t**2 - 10*b*t - 3*b + 7*t**2 - 5 wrt b? -23937678*b*t**2 What is the second derivative of -1433*j**5*w**3 - 6*j**3*w**3 - 1443*j*w**3 - 14*j*w wrt j? -28660*j**3*w**3 - 36*j*w**3 Find the second derivative of 375234*o**2 + 123*o + 8261 wrt o. 750468 Find the first derivative of 37*m*w**3 + 15*m*w - 129*m + 607691*w**3 wrt m. 37*w**3 + 15*w - 129 What is the first derivative of 469343*a**2 - 611912 wrt a? 938686*a Differentiate 3*t**3 + 2*t**2 - 31204*t - 1847031 wrt t. 9*t**2 + 4*t - 31204 What is the third derivative of -117213*d**6 + 2*d**5 + 2*d**3 - 16665*d**2 - 7? -14065560*d**3 + 120*d**2 + 12 Find the third derivative of 2*j**4*u**2 - 184*j**4 + 1084*j**3*u**3 - 1105*j**2*u**3 - 77*j**2*u wrt j. 48*j*u**2 - 4416*j + 6504*u**3 Differentiate 13*g**4 - 2990*g**3 - 156292 with respect to g. 52*g**3 - 8970*g**2 What is the second derivative of 109*t**3 + 22*t**2 + 73*t - 168? 654*t + 44 Find the first derivative of -1343024*p**2 + 2024281 wrt p. -2686048*p What is the third derivative of -v**5 + 44*v**4 + 874*v**3 + 6097*v**2 + 130? -60*v**2 + 1056*v + 5244 What is the derivative of 4696*l**4 + 33*l**2 - 4*l - 5105470 wrt l? 18784*l**3 + 66*l - 4 What is the third derivative of 5*h**4 - 6699*h**3 + 64302*h**2 wrt h? 120*h - 40194 What is the third derivative of -35031*o**4 - 11*o**2 - 536*o + 2 wrt o? -840744*o What is the third derivative of 261552*q**3 + 78*q**2 - 6825? 1569312 What is the third derivative of -2291860*a**5 - 7*a**2 - 157*a - 14 wrt a? -137511600*a**2 What is the second derivative of -1481*l**2*s**3 + l**2*s**2 + 2*l**2*s + 3*l**2 - 4*l*s - 32*l + 12*s**3 - 3*s**2 + 5 wrt l? -2962*s**3 + 2*s**2 + 4*s + 6 Differentiate 18*w**3*z - 903*w**3 - 2*z - 15759 wrt w. 54*w**2*z - 2709*w**2 Differentiate 8*w**4 + 2*w**3 - 245*w**2 - 282893 wrt w. 32*w**3 + 6*w**2 - 490*w What is the second derivative of 1739202*y**3 - 284*y + 2980? 10435212*y What is the second derivative of -3137*b*v**3 - 2*b*v**2 + 2821*b*v - b - 4*v**3 - 2*v**2 - 6*v + 3 wrt v? -18822*b*v - 4*b - 24*v - 4 Find the third derivative of -5145*m**3*o**2 + 24*m**2*o**2 + 12*m*o**2 - 46 wrt m. -30870*o**2 Differentiate -654991*t + 25216 wrt t. -654991 Find the third derivative of 12*v**5 - 289*v**4 + 2*v**3 - 11158*v**2 wrt v. 720*v**2 - 6936*v + 12 Differentiate 9217*c*f*y**2 + 4*c*v + c*y - f*v*y**2 - 119*f*v + 4*f - v + 2 wrt c. 9217*f*y**2 + 4*v + y Find the third derivative of -327585*d*h**3 + 253*d*h**2 - 10*h**2 - 42*h wrt h. -1965510*d Find the second derivative of 4910210*v**2 - 4950116*v. 9820420 Find the second derivative of 772559*d**2 - d - 2701813 wrt d. 1545118 Find the second derivative of 31*j*n**4 - j*n**2 - 57*j*n - 15*j - 3*n**4 - 5 wrt n. 372*j*n**2 - 2*j - 36*n**2 What is the derivative of 3*l**2*x + 34794*l*x - 705*x - 949 wrt l? 6*l*x + 34794*x Find the second derivative of 5*l**3*o**2 - 38*l**3*o - 60*l**3 + 297*l*o**2 - 4*o**2 + 5*o wrt l. 30*l*o**2 - 228*l*o - 360*l What is the third derivative of -24*m**2*t**5 + 964*m**2*t**4 - 3*m**2 - 261608*t**2 wrt t? -1440*m**2*t**2 + 23136*m**2*t What is the first derivative of -2*f*j**3 - 1216*f*j**2 + 66558*f + 3*j**3 wrt j? -6*f*j**2 - 2432*f*j + 9*j**2 What is the first derivative of 1538*s**2*y**3*z - 2*s**2 + 2*s*y**3*z - 42*y**3 - 960*z wrt s? 3076*s*y**3*z - 4*s + 2*y**3*z What is the third derivative of 7*o**4 - 4600*o**3 - 11*o**2 + 536*o - 2 wrt o? 168*o - 27600 Find the second derivative of -3*c**2*g**2*k - 41*c**2*g**2 + 30*c**2*g*k + 4*c*g*k + 29*c*k - 4*c + g**2 wrt c. -6*g**2*k - 82*g**2 + 60*g*k Differentiate 2*a**2*r**2 - 13*a**2*r - a**2 + 499*a*r + 30336*a + 2 with respect to r. 4*a**2*r - 13*a**2 + 499*a Differentiate 3*t*u*y + 1539*t*u - t*y - t - 109*u*y - 18*u - y + 3 wrt t. 3*u*y + 1539*u - y - 1 Differentiate -228498*o**4 + 343143 with respect to o. -913992*o**3 Find the second derivative of 19*x**5 + 85876*x**2 - 454978*x wrt x. 380*x**3 + 171752 What is the derivative of -2673*c**3*m**2 - 5*c**3*m - 15*m**2 + 343*m wrt c? -8019*c**2*m**2 - 15*c**2*m Find the second derivative of 2847*m**4 - 4*m**3 - 22*m**2 + 1090178*m wrt m. 34164*m**2 - 24*m - 44 Find the first derivative of 1358*j**3*u**2 + j**3 - 7*j**2*u**2 + 9914 wrt u. 2716*j**3*u - 14*j**2*u What is the derivative of 7*a**2*r**2 - 141*a**2*r + 5*a - 43789*r**2 wrt a? 14*a*r**2 - 282*a*r + 5 What is the derivative of 27614*b + 35520 wrt b? 27614 What is the second derivative of -3*c**3*d - 13*c**3 + 8*c**2 - 18806*c*d wrt c? -18*c*d - 78*c + 16 Find the third derivative of 221*f*i**3*w + 278*f*i**2*w**2 + 2*f*i*w**3 - 3958*i**3*w**3 + 1612*i**2*w**3 - 1 wrt i. 1326*f*w - 23748*w**3 What is the second derivative of 1167*m**3 - 241*m**2 + 508150*m wrt m? 7002*m - 482 What is the derivative of 43*c**4*w - 119*c**2 + 27*c + 437*w - 2481 wrt c? 172*c**3*w - 238*c + 27 Find the third derivative of -703263*f**4 - 631191*f**2 wrt f. -16878312*f Find the second derivative of -148*z**4 + 103*z**3 + z**2 - 3178*z - 6 wrt z. -1776*z**2 + 618*z + 2 Find the second derivative of j*q**3 + j*q**2 + 7*j*q - 415*j + 1848*q**4 - q**2 wrt q. 6*j*q + 2*j + 22176*q**2 - 2 Differentiate 32885*l**4 + 1747919 with respect to l. 131540*l**3 Differentiate 155*a**3*c*v + 21*a**3*c + 14*a**3*v - a**2*c*v + 230*v with respect to c. 155*a**3*v + 21*a**3 - a**2*v What is the second derivative of -643*r**3 + 16*r**2 - 3*r + 31054 wrt r? -3858*r + 32 What is the second derivative of 4823*c**2*h**2 + 2*c**2 + 78*c*h**2 - 284*c*h wrt c? 9646*h**2 + 4 Differentiate -3*d**4 - 25*d**3 + d**2 + 40*d + 647196. -12*d**3 - 75*d**2 + 2*d + 40 What is the second derivative of 19*j**4 - 25*j**3 - 6*j**2 + j - 4517 wrt j? 228*j**2 - 150*j - 12 What is the second derivative of 3*l**4 - 31*l**3 + 65*l**2 - 32*l - 264 wrt l? 36*l**2 - 186*l + 130 What is the third derivative of -319826*y**3 + 348642*y**2? -1918956 What is the third derivative of -c**5 - 21679*c**3 - 54643*c**2 + c wrt c? -60*c**2 - 130074 What is the second derivative of -740*n**2*s**3 - 2*n**2*s**2 - n**2*s - 277*n*s**3 - 90*n*s**2 wrt n? -1480*s**3 - 4*s**2 - 2*s Differentiate 93807*f**2 + 168489 wrt f. 187614*f Find the second derivative of 140*f**3*g**2 - 2*f**3*g - f**2*g**2 - 20*f*g**2 + f*g - 4*f - 27*g wrt g. 280*f**3 - 2*f**2 - 40*f What is the first derivative of -4427864*f**4 - 6026978 wrt f? -17711456*f**3 What is the second derivative of -242*l**4 + 975*l**3 - 2*l**2 - 616*l - 331? -2904*l**2 + 5850*l - 4 What is the derivative of 2*f**3*u - 2*f**3 + 450*f**2*h + 3*f**2*u - 6*f**2 - f*h*u + f + 56*h*u wrt u? 2*f**3 + 3*f**2 - f*h + 56*h What is the third derivative of -1086005*n**5 - 1223929*n**2 - 2*n + 1? -6516030
{ "pile_set_name": "DM Mathematics" }
al places? 0.0000003 Let q = 609.9 - 2147.2. Let i = q + 1623. Let r = 71 - i. Round r to 0 dps. -15 Suppose l - 3*q = 20, -2*l + 6*l = -4*q. Suppose 5*w + 5 = 0, -1725 = 2*s + 2*s + l*w. What is s rounded to the nearest one hundred? -400 Let p = -0.33 + -183.67. Let a = p - -184.129. Round a to two dps. 0.13 Let n = 7 - 6.84. Let l = -0.072 + n. Let b = -0.207 + l. What is b rounded to two dps? -0.12 Let f = -35362147 + -14217853. What is f rounded to the nearest 1000000? -50000000 Let i = 8870580.997746 + -8870594. Let a = i - 8.997688. Let z = a - -22. What is z rounded to five dps? 0.00006 Let p = 0.676 - 0.675999591. Round p to 7 decimal places. 0.0000004 Suppose 5*x = 2*x + 61104. Suppose x = -4*j + 5216. Let w = j - -1648. Round w to the nearest 100. -2100 Let r = -1925314.07142498 - -1925314. Let z = r + -87.92783502. Let u = z + 88. Round u to four dps. 0.0007 Let x = -1588.2 - -1839. Let t = x + -222. Let p = -25 + t. Round p to the nearest integer. 4 Let g = 34.384 - 35.2. Round g to 1 decimal place. -0.8 Let x = -23 - -19. Let r be (x/10)/(3/(-15)). Suppose r*c - 31572443 + 10372443 = 0. Round c to the nearest 1000000. 11000000 Suppose -2*h = -0*y - 4*y + 32, -3*y - 3*h = -42. Suppose -y*x + 6*x = 783412. Let u = 97853 + x. What is u rounded to the nearest 10000? -100000 Suppose -800112 - 11454957 = -3*t. Suppose -d + 47885023 = t. What is d rounded to the nearest 1000000? 44000000 Let w = 1046008.60053 + -1046003. Let f = 5.6 - w. What is f rounded to four decimal places? -0.0005 Let o = 0.0413797 - 0.0414. Round o to five decimal places. -0.00002 Suppose 2*g + s - 45 = 0, 0 = -6*g + 3*g - 2*s + 69. Suppose -23*x = -g*x - 880000. Round x to the nearest one hundred thousand. 400000 Let a = -111 + 110.999999485. Round a to 7 decimal places. -0.0000005 Let w be 267/(-6)*-1*(-8)/(-4). Suppose 10 = -9*f - w. Round f to the nearest integer. -11 Suppose d - 4*m = 15, -4*d + 4*m - 6 = -30. Suppose 5*i = d*i + 74026. Let n = 5237013 - i. What is n rounded to the nearest 1000000? 5000000 Let c(k) be the third derivative of -19*k**4/24 - 7*k**3/6 - k**2. Let l be c(6). What is l rounded to the nearest ten? -120 Let q = -11103 + 11103.0006667. Round q to 4 decimal places. 0.0007 Let c = 0.322 + -0.294. Round c to 2 dps. 0.03 Let r = 44.79 + -45. Let l = 0.003 - -0.127. Let t = l + r. Round t to 2 dps. -0.08 Let g = -0.9447 - 0.0671. Round g to 2 dps. -1.01 Let q = 1.3 - 1.356. Let h = q - -0.05600027. What is h rounded to seven decimal places? 0.0000003 Suppose -3*a - 15292967 = 1785772. Suppose 3*f = -f + 12771652. Let d = a + f. Round d to the nearest one million. -3000000 Let a = 15325056250.589804 + -15325084678. Let x = -28428 - a. Let j = 0.59 + x. What is j rounded to 5 decimal places? 0.0002 Let b be 5289*3/(-6)*(-40)/6. Let m = -9630 + b. Round m to the nearest ten thousand. 10000 Let s = -154413 + 364113. What is s rounded to the nearest ten thousand? 210000 Let v = -166.69 - -166. Let x = -0.69144 - v. Round x to 4 dps. -0.0014 Let f = -7 - -2. Let v(l) = -39*l + 6. Let u be v(f). What is u rounded to the nearest 10? 200 Let t = 93.72 + -70. Let l = 0.88 + t. What is l rounded to 0 dps? 25 Let p = -571077.867 + 570816. Let x = p + 262. Round x to two dps. 0.13 Let l = -0.1515 - -9.1215. Round l to one decimal place. 9 Let f = 508.052 - 507. Let x = f + -1.27. What is x rounded to 2 decimal places? -0.22 Let l = -3.057 - -3.055439. What is l rounded to four dps? -0.0016 Suppose -3*n + 10*n = 98. Let v be (1900/n)/(-1*(-4)/(-3360)). Round v to the nearest 10000. -110000 Let h = 1752156 - 500920. Suppose 0 = -4*d + 7*d + 3*q - 963711, 0 = -3*d + 4*q + 963704. Let w = h - d. What is w rounded to the nearest one hundred thousand? 900000 Let g be -1 - 867174/(-9) - 2/(-6). Suppose -22752 = -8*a - g. Round a to the nearest one thousand. -9000 Let q = -35.75 + 34. Let b = 0.05 - q. Let y = b - 1.79943. Round y to four decimal places. 0.0006 Let j = 3413069245 + -1582430760. Let p = 1830638305.0000081 - j. Let a = p + 180. What is a rounded to six decimal places? 0.000008 Let f = 6.1525 + -6.1. Round f to three dps. 0.053 Let y = -49598 + 494528. Let c = y - 444922.000016. Let t = 8 - c. Round t to 5 dps. 0.00002 Suppose 4*m + 6257 + 149343 = 0. Round m to the nearest ten thousand. -40000 Let z = -30989 - 62211. Round z to the nearest one thousand. -93000 Suppose -a + 0 = -2. Suppose 0 = r - 5*l - 3, 2*r - 2*l - a*l = 6. Suppose 0 = -r*k - 4*m - 464, 3*m + 13 = -2. What is k rounded to the nearest 10? -150 Let l = -44.6 + -0.4. Let z = 16 + l. Let q = z + 29.00043. Round q to 4 decimal places. 0.0004 Let m be (-1*3*-4)/1. Suppose 387 + 135 = -29*n. Let j be (-899996)/6 + m/n. Round j to the nearest one hundred thousand. -200000 Let x = -340.0999995941 - -340.1. Round x to 7 dps. 0.0000004 Suppose 0 = -2*l + 4, 0 = 5*v - l + 148114 + 30688. Round v to the nearest one thousand. -36000 Let k = 74.018 - 74. Let v = k + -0.384. Round v to two dps. -0.37 Let m = -617 - -444.5. Round m to the nearest 10. -170 Let o = 0.2320047 - 0.232. Round o to 6 decimal places. 0.000005 Let d be (16464/(-35))/(6/(-1125)*-3). What is d rounded to the nearest one thousand? -29000 Let y = 580.98537 + -581. Round y to three decimal places. -0.015 Let g = 703.632 - 701. Let h = 3.18 - g. What is h rounded to 1 decimal place? 0.5 Let m = -0.211595 - -0.212. What is m rounded to five decimal places? 0.00041 Let z = -265 + 264.999615. What is z rounded to four dps? -0.0004 Let p = 259 - 259.00072. Round p to three decimal places. -0.001 Let m(g) = -9*g - 67. Let k be m(-8). Let j be (-6449)/k - ((-4)/5)/(-4). What is j rounded to the nearest 100? -1300 Let d = -4.894 + -17.832. Let m = 23.4 + d. Round m to one decimal place. 0.7 Suppose 3*w + 5*j - 3908 = 0, 1921 = 2*w - 5*j - 676. Round w to the nearest one hundred. 1300 Suppose 7*z - 5*z = 10. Suppose 5*f - 48005 = 2*y, 64695 = -z*y + 4*f - 55309. Round y to the nearest ten thousand. -20000 Let x be 37 - 34 - (-2 - 19995). Round x to the nearest one million. 0 Let i be 2 - (3 + 871 + -3). Let f be (i + -1)/(21/2800). What is f rounded to the nearest 10000? -120000 Let c = -45 - 15.7. Let q = c - -65. Let j = -4.299942 + q. Round j to five dps. 0.00006 Let y = 2992 - 2991.99995874. What is y rounded to six decimal places? 0.000041 Let u = -0.05036 - -0.052. Round u to three decimal places. 0.002 Let d = 7 - 66. Let j = 16.05 + 43.89. Let x = d + j. What is x rounded to one decimal place? 0.9 Let x(p) = -5*p - 43. Let b be x(-11). Suppose b*q - 61200 = -6*q. What is q rounded to the nearest one thousand? 3000 Let b(d) = -d**2 - 8*d - 7. Let a be b(-7). Suppose 2*x - 6479091 - 3920909 = a. Round x to the nearest 1000000. 5000000 Let v = -26 - -26.0225. Let q = v + -0.02250353. Round q to seven decimal places. -0.0000035 Let q = 7221630.1000368 + -7221619. Let w = 11.1 - q. Round w to six dps. -0.000037 Let n = 0.9554 + -0.960729. What is n rounded to four decimal places? -0.0053 Let g = 86.06 - -1.94. Let x = 87.961 - g. What is x rounded to two decimal places? -0.04 Let z = 0.2478 + 134.4522. Let v = 134 - z. What is v rounded to 1 dp? -0.7 Let x = 49 - 93. Let i be 14/35 - x/(-10). Let l(f) = -44999*f**2 + 4*f. Let v be l(i). Round v to the nearest 100000. -700000 Let y = 5824.82005 + -5825. Let q = 0.11 + 0.07. Let x = q + y. What is x rounded to four decimal places? 0.0001 Let i = -2435428.000084 - -2435442. Let o = 31 + -45. Let y = o + i. Round y to 5 decimal places. -0.00008 Let t = -499.59 + 499. What is t rounded to 1 dp? -0.6 Suppose -5*v - 2*b + 14 = 0, 3*b - 2*b = 2*v - 2. Suppose -v*r - 110005 = 5*u, -3*r + 3*u = -0*r + 164997. Round r to the nearest ten thousand. -60000 Let q = -56 + 30. Let g = 26.5 + q. What is g rounded to one decimal place? 0.5 Let j = -41 - -62. Suppose -p = 2*v - 6, 3 = -4*p + 3*v - 6. Suppose -3*c - j = -p*c. Round c to 0 decimal places. -7 Let l = -80120 + -958736. Let n = -28856 - l. Round n to the nearest 100000. 1000000 Let w = -2298.394 - -2152.39845. Let c = 146 + w. Round c to three dps. 0.004 Let m = -2.75 + 2.441. What is m rounded to 2 dps? -0.31 Let k = -0.26 - -0.25616. Let t = k - -0.005. Round t to four decimal places. 0.0012 Suppose b + 6 = -73. Let k be (-131500
{ "pile_set_name": "DM Mathematics" }
t d(m) = 43*m + 4159. What is the units digit of d(0)? 9 What is the tens digit of 19262/(-6)*120/(-16)*2*1? 5 Let v be (-6 + 3 - 1) + (-389)/1. Let b = -314 - v. What is the units digit of b? 9 Suppose 0 = -2*d - 3*s + 42, 3*d + 0*s + 4*s = 63. Let r = d + 110. Let c = r + -31. What is the hundreds digit of c? 1 Let n = 19860 - -1728. What is the hundreds digit of n? 5 Let b be 180/50*(-15)/(-6). Suppose -c - 4*h + 1227 = 0, c + 11*h - 1223 = b*h. What is the hundreds digit of c? 2 Let z = 13 + -11. Let m(y) = -3*y**3 + 2*y**2 + 5*y - 1. Let f be m(-3). Suppose -z*i = p - f, 393 = 5*p - 3*i + 2*i. What is the units digit of p? 9 Let t be ((-1)/3)/(12/(-72)). Suppose t*w - 573 = x, -5*w = x - 19 - 1403. What is the hundreds digit of w? 2 Let u(l) = -2*l**3 + 27*l**2 - 13*l. Let d be u(13). Suppose 2*k = 5*k - 2*m - 272, d = 3*k - m - 274. What is the units digit of k? 2 Let r be 457/2 - 11/(-22). Suppose j = k + 3*k - 859, k = 5*j + r. What is the units digit of k? 4 Let m(z) = -18 - 17 + 0 - 7*z. Suppose 0 = -7*w + 4*k - 58 - 8, -5*k = -30. What is the units digit of m(w)? 7 Let i(p) = 155*p**2 + 3*p + 3. Let u(w) = 2*w**2 - 1. Let z(q) = i(q) - 3*u(q). What is the units digit of z(-2)? 6 Let g(j) = 924*j**2 + 71*j + 299. What is the hundreds digit of g(-4)? 7 Let r be (-6)/4 - (-204)/8. What is the thousands digit of (9256/r - 7)*3? 1 Let i be (15/10)/((-38)/(-32) + -1). Let o be (-6)/(-9)*(1 + i). Suppose 651 + 123 = o*v. What is the hundreds digit of v? 1 Let m be 477/(-27) - (-1 - 8/(-6)). Let h(r) = 28 + 0*r**2 - 13*r - r**2 - 11*r. What is the tens digit of h(m)? 3 Let h(z) = -10*z**2 - 56*z - 12. Let d be h(-5). Suppose -19*g = -d*g - 914. What is the hundreds digit of g? 9 Let x(s) = -s - 5. Let v be x(-1). What is the tens digit of v/3 + -2*2140/(-15)? 8 Let i = 195 + -193. Let h(g) = 335*g - 14. What is the hundreds digit of h(i)? 6 Let z = 200 + -276. Let g = z - -130. What is the tens digit of g? 5 Let w(p) = 11*p**3 - 9*p + 16*p**3 + 11*p - 1. Let l be w(1). Suppose 2*a - l - 24 = 0. What is the tens digit of a? 2 Let f(w) = -5*w**2 - 4*w - 4. Let p be f(-4). Let m be (2/8)/(23/(-2024)). Let g = m - p. What is the units digit of g? 6 Let b = 287 - 287. Suppose b = -n - 0*w + 2*w + 478, 0 = n - 3*w - 473. What is the hundreds digit of n? 4 What is the thousands digit of ((-350)/56 - -5)*-2428? 3 Suppose 0 = -78*v + 431 + 171 + 256. Let n(w) = 16*w**2 - w**3 - 3 - 4*w**2 - 8*w + 0. What is the units digit of n(v)? 0 Let h(q) = q**3 + 8*q**2 - 8*q + 12. Let i be h(-9). Suppose -5*j - 13 + i = 0, -3*d + 692 = 5*j. What is the units digit of d? 4 Suppose -3*h + 143*s - 144*s = -31362, 18 = 3*s. What is the hundreds digit of h? 4 What is the units digit of ((-1 - 1)*(-56459)/(-26))/((-3)/15)? 5 Suppose -3*i + 9111 = 2*a - 4*a, 0 = 5*i - 3*a - 15186. What is the tens digit of i? 3 Let f be (25 - 36)/(2/(-176)). Suppose -7*z + 5*z + f = 0. What is the tens digit of z? 8 Suppose 29*l - 1400353 = -19*l - 441937. What is the hundreds digit of l? 9 Let u be (-2540)/(-52) - (-2)/13. Suppose -h = 4*h + 3*m - 252, -h + u = 2*m. What is the units digit of h? 1 Let n = 4331 + -2751. What is the units digit of n? 0 Let l(r) be the second derivative of 8*r**3 - 11*r**2/2 + 68*r. What is the units digit of l(2)? 5 Let k be (-13)/(-5) + (-26)/(-65). Suppose w - 2*d - 3 = 4, 0 = -k*w + 2*d + 29. Let p(a) = -a**3 + 12*a**2 - 10*a - 5. What is the units digit of p(w)? 6 Let o be (6 - (-5844 - -5)) + 0. What is the tens digit of ((-42)/(-15))/(6 + o/(-975))? 4 Let p(y) = 18*y**2 - 13*y - 35. Let x = 75 - 83. What is the thousands digit of p(x)? 1 Suppose -16*n = -18*n - 4*o + 3662, n = -4*o + 1831. What is the hundreds digit of n? 8 Suppose 27*t - 1037116 = 4*t. What is the thousands digit of t? 5 Suppose 2*g - 3 - 7 = -k, -8 = 4*g - 5*k. Suppose s - 148 = 2*j, -4*j = g*s + j - 477. Suppose 214 = 8*y - s. What is the units digit of y? 6 What is the hundreds digit of (8149/(-145))/((48/(-30))/8)? 2 Suppose 764 = -2*u - v + 18741, -8978 = -u + 3*v. What is the thousands digit of u? 8 Suppose -j - 15*x + 15891 = -20*x, 0 = 4*j - 5*x - 63489. What is the ten thousands digit of j? 1 Let j = -46247 - -49369. What is the tens digit of j? 2 Let m = 6929 + -6938. Let g(a) = a**3 + 10*a**2 - 2*a + 4 + 0 + 2. What is the tens digit of g(m)? 0 Suppose -58*q = 27*q - 911965. What is the units digit of q? 9 Suppose 806 + 1455 = 7*u. Let r = 528 - u. What is the tens digit of r? 0 Let v(h) = -h**3 - 23*h**2 + 2*h - 151. What is the hundreds digit of v(-33)? 6 What is the tens digit of 457848/27*18/48? 5 Suppose 13*f - 12284 = 11584. Suppose -f = 4*n - 8*n. Let a = n - 269. What is the tens digit of a? 9 Suppose -3*p + 74554 = -7*a, 2*p - 5*a = -0*a + 49703. What is the ten thousands digit of p? 2 Let f = 55 - 51. Let m(p) = 59*p - 20. Let k(t) = -60*t + 21. Let z(g) = -3*k(g) - 2*m(g). What is the hundreds digit of z(f)? 2 Let f(y) = -2*y + 52. Let p be f(-12). Suppose 592 = -p*t + 78*t. What is the hundreds digit of t? 2 Let n = 0 + 158. Let s = 622 - n. What is the tens digit of s? 6 Let c(r) = -r**3 + 6*r**2 - 3*r - 7. Let o be c(5). Suppose -16 - 14 = -5*a + 4*b, o*a - 21 = 3*b. What is the units digit of (-14 + a)*-1*1/2? 6 Let k be ((-30)/9)/((-2)/(-90)*-1). Let o = k - 73. What is the units digit of o? 7 Let d = -62 + 58. Let j(r) = -5*r - 14. Let c be j(d). What is the tens digit of 1 - 4/c - (-18528)/144? 2 Let a(r) = -8*r**3 - 6*r**2 - 8*r - 4. Let v(q) = -17*q**3 - 13*q**2 - 16*q - 7. Let i(o) = 14*a(o) - 6*v(o). What is the units digit of i(-4)? 4 What is the units digit of 2/40 + (-60653769)/(-3820)? 8 What is the ten thousands digit of 3 - ((-22798)/1)/((-42)/(-6) + -5)? 1 Suppose 0 = -5*h + 2*l - 724, 0 = h - 0*l - l + 143. Let q = 646 + h. What is the hundreds digit of q? 5 Suppose -87*t - 96602 = -98*t. What is the tens digit of t? 8 Let s be 10 - (-2 - (-6 - 3)). What is the hundreds digit of (s + 3*-95)/(9/(-9))? 2 Suppose 3*x - 9 = -0*x. Suppose -3*c + 2*i - 10 = 0, x*i + 25 = -4*c + 8*i. Suppose c = -5*s + 127 + 123. What is the units digit of s? 0 Let u(j) = -7*j - 52. Let h be u(-9). Suppose -619 + 2357 = h*x. What is the units digit of x? 8 Let t = -65 - -70. Suppose s = -0*s - 2, 3*q - 2 = -t*s. Suppose -44 = -m + q*z, -3*m - 3*z + 52 = z. What is the tens digit of m? 2 Suppose 18*g - 15702 = 15*g. What is the hundreds digit of g? 2 Suppose 77*c - 67*c - 53744 - 41396 = 0. What is the hundreds digit of c? 5 Suppose 3 = 3*c, 4*a = c + 2 - 3. Suppose a = 13*x - 8*x - 780. Let n = -142 + x. What is the units digit of n? 4 Suppose 2*s - 588 = 6*s - 2*v, 0 = -2*s + 3*v - 294. Let j = s - 92. Let n = j - -390. What is the tens digit of n? 5 Let p(h) = 33*h**3 - 37*h**2 + 441*h + 20. What is the tens digit of p(8)? 7 Let t = 3746 - 3134. What is the units digit of t? 2 Let t(i) = -4*i**2 - 100*i + 7 + 0*i**2 + 15*i**2 + 3*i**2. What is the hundreds digit of t(8)? 1 Let q = -17205 - -37024. What is the tens digit of q? 1 Let c = -161 - -677. Let t = 9810 - 9802. Suppose -c = -12*y + t*y. What is the hundreds digit of y? 1 Let m(k) = -15*k - 61. Suppose 3*y = 5*z - 63, -3*y - 20*z + 17*z = 87. What is the units digit of m(y)? 9 Let z(b) = b**2 - 3*b + 22. Let d be z(-10). Suppose 16 + d = 2*k. Suppose 3*a + k = 3*l, -3*l - l + 2*a + 118 = 0. What is the units digit of l? 1 Suppose -5*f + 64412 = -48*f + 381623. What is the hundreds digit of f? 3 Let u = 336 + -330. Suppose 2*v - m - 1434 = 0, -5*m = -u*v + 10*v - 2868. What is the units digit of v? 7 Suppose -90*r + 312127 = 10*r - 153473. What is the thousands digit of r? 4 Let g be -1 - -3 - (2 + 1)*-3. Let u(z) = 40*z - 48. What is the units digit of u(g)? 2 What is the tens digit of (-421)/((-8)/(64/8)*1)? 2 Let p be (-232150)/(-850) + (-2)/17. Let u = p - -156. What is the tens digit of u? 2 What is the hundreds digit of (-2 + 3)/((-122)/(-306464))? 5 Suppose -13*k + 12*k = -30*k + 244760. What is the units digit of k? 0 Let a be 2/(-20)*-4 - (-4)/(-10). Suppose 15*h - 2937 - 2103 = a. What is the units digit of h? 6 Let t(g) = -g**2 + 13*g + 9. Let c be t(13). Suppose c = -14*d + 37. Suppose 0*y - 599 = -3*q + d*y, -4*y + 772 = 4*q. What is the tens digit of q? 9 Let h(y) = -2*y**3 + 20*y**2
{ "pile_set_name": "DM Mathematics" }
for y. -34 Solve 913*x + 1428*x - 40041 - 5802 - 40774 = 0 for x. 37 Solve -2777*j = -4390*j - 38712 for j. -24 Solve -1169*h = -2504*h + 1029*h - 11322 for h. -37 Solve -5913*o - 10962 - 2163 = 5789*o - 11877*o for o. 75 Solve -5988*h + 105184 + 75442 = 76244 - 111186 for h. 36 Solve 23*r + 24*r + 23*r - 1089 - 7941 = 0 for r. 129 Solve 252*j - 2626 - 11998 = -3404*j for j. 4 Solve 1579*k = -95625 - 24379 for k. -76 Solve 0 = -737*m + 3467*m - 218748 - 209862 for m. 157 Solve -o - 82 = 4*o + 43 for o. -25 Solve -6762*y + 58994 = -1332*y - 93046 for y. 28 Solve -2121 = -49*z - 565 + 306 for z. 38 Solve -404153*j = -404118*j + 560 for j. -16 Solve 550*b = -14*b - 24816 for b. -44 Solve 2216*t - 2204*t - 120 = 0 for t. 10 Solve 0 = -507*p - 12640*p + 854555 for p. 65 Solve -6887*f = 16700*f + 1680*f - 884345 for f. 35 Solve -22162 = 3454*b + 67642 for b. -26 Solve 6674*m - 34868 = 5656*m - 8400 for m. 26 Solve -44*q - 5271 = 42*q - 7593 for q. 27 Solve 74*u + 2*u - 52*u = 1680 for u. 70 Solve -2909 = -69*a - 1391 for a. 22 Solve -180404 = -5*j - 180344 for j. 12 Solve 461*t + 481*t + 417*t = 257*t - 67222 for t. -61 Solve 7524 = 396*m - 198*m for m. 38 Solve -12*k - 1234 - 6001 = -117*k + 955 for k. 78 Solve 57*q = -40851 + 39426 for q. -25 Solve 2867*w - 2976*w = -4251 for w. 39 Solve -26794*c + 37203 + 731979 + 36526 = -828726 for c. 61 Solve -1034962*b + 1035008*b = 2070 for b. 45 Solve -1297*s - 2352*s + 149248 = -219*s - 38*s for s. 44 Solve -376*h - 876 + 5513 = -7395 for h. 32 Solve 0 = 225*n - 237*n + 451 - 247 for n. 17 Solve -18984*m = -18814*m - 11390 for m. 67 Solve -11*q + 602719 = 602444 for q. 25 Solve 4495*z - 765 + 205 = 4355*z for z. 4 Solve 77*r - 321 = 363 - 2378 for r. -22 Solve 137*v - 45905 = -52481 for v. -48 Solve -558*q - 34375 - 47097 = -122*q + 837*q for q. -64 Solve 736 + 1429 = -120*l - 835 for l. -25 Solve 197*k + 1450 = -201*k + 65*k - 5210 for k. -20 Solve 1479 = -131*s - 58*s - 6270 for s. -41 Solve 18*v - 413*v - 1151 = -7866 for v. 17 Solve -179604 = 4630*a - 17554 for a. -35 Solve 1578*w - 64144 = -40474 for w. 15 Solve -153*u + 119976 = 118446 for u. 10 Solve 1709*x = 506*x - 1283*x + 130*x + 108376 for x. 46 Solve 313*g + 483*g - 4500 = -412*g + 958*g for g. 18 Solve -1776*j - 8941*j - 45206 - 104832 = 0 for j. -14 Solve -763*x = 494*x - 441*x + 28560 for x. -35 Solve 0 = 175*m + 4410*m - 182048 - 38032 for m. 48 Solve 71204 = -197*m + 78493 for m. 37 Solve -1675*m + 735 = -1710*m for m. -21 Solve 569*v + 259*v - 1870 - 13437 = -403 for v. 18 Solve -14*u = -43*u - 1605610 + 1605059 for u. -19 Solve -147*q + 1317 = -2986 - 695 for q. 34 Solve 0 = 712*t - 3109 - 42459 for t. 64 Solve 38918 = -1985*t - 30557 for t. -35 Solve -69*h = -68*h - 580*h - 74*h + 40486 for h. 62 Solve 0 = -2609*c + 600*c + 186837 for c. 93 Solve 64*q + 182478 = 181710 for q. -12 Solve 0 = -862083*z + 863005*z - 37802 for z. 41 Solve -23*u + 424 = 875 - 175 for u. -12 Solve 0 = 337*r - 263*r - 60 - 14 for r. 1 Solve 191*s + 20*s = 72*s - 249*s - 8148 for s. -21 Solve -634*h - 2351*h = -1029*h + 1251*h - 314286 for h. 98 Solve 5896*j = 8275*j - 26169 for j. 11 Solve 31924*t + 2 = 31923*t for t. -2 Solve 394*w + 377 - 1171 - 1563 = 7 for w. 6 Solve -4247030 = -15*p - 4248515 for p. -99 Solve -466*x + 11864 = 3042 - 2362 for x. 24 Solve -28*y - 105*y = 394*y + 22661 for y. -43 Solve 52 = -45*r - 186 - 572 for r. -18 Solve -186 = 41*c + 496 + 879 + 161 for c. -42 Solve -342*r = 551*r - 102*r - 2373 for r. 3 Solve -780*r = 6936 + 7104 for r. -18 Solve -554*f + 618*f = -1975*f - 44858 for f. -22 Solve -591*y + 3939 = -490*y for y. 39 Solve -49629684 + 49624514 = 110*a for a. -47 Solve -186*b - 719 = 410*b + 2261 for b. -5 Solve -22 + 4 = 9*w + 8*w - 15*w for w. -9 Solve 107*j + 1442 = -2731 for j. -39 Solve -1175 + 8803 = 1289*n - 106 for n. 6 Solve 1877 + 537 = 71*o for o. 34 Solve -248*z + 725 - 3711 = 4812 + 1626 for z. -38 Solve -1550 = 231*q - 76*q for q. -10 Solve -2950*i + 1751 = -2844*i - 5245 for i. 66 Solve 655*r - 145527 = -93782 for r. 79 Solve 39 + 8 + 187 = -330*b - 96 for b. -1 Solve -387*g - 668 = 210 + 3516 + 1798 for g. -16 Solve 88961 = 71*u + 87683 for u. 18 Solve 2469599 = -71*v + 2469244 for v. -5 Solve -784*i - 66907 + 55147 = 0 for i. -15 Solve -102*j - 9 = 297*j + 1188 for j. -3 Solve 260*k + 2089 - 3493 - 6918 = 406*k for k. -57 Solve -475 = -8*s - 41*s + 799 for s. 26 Solve -153*r - 139*r + 14576 = 619*r for r. 16 Solve 0 = 39724*n - 39636*n - 3784 for n. 43 Solve 22256*s + 5512 = 22204*s for s. -106 Solve -19*z + 469 - 289 = 1434 for z. -66 Solve -56227 = 3369*t + 237*t + 89390 + 5835 for t. -42 Solve 428*s - 2264 + 980 = 0 for s. 3 Solve -343*i - 46*i - 7862 = 6*i - 35117 for i. 69 Solve -5960*w + 111811 = -57116 + 8007 for w. 27 Solve -16*z + 28*z + 10*z = -124*z + 12702 for z. 87 Solve -434*l = -41*l + 2104 - 22540 for l. 52 Solve 694*j - 35463 - 7639 = -3724*j + 58512 for j. 23 Solve -1091*y - 34776 = -103509 for y. 63 Solve -515*r - 437*r = 15*r + 55*r + 4088 for r. -4 Solve -2354 = 54*z + 480*z + 722 + 2264 for z. -10 Solve -123559*r = -123628*r + 4623 for r. 67 Solve 9*j + 34*j - 6601 = -118*j for j. 41 Solve 13*t - 6*t - 9991 = -59*t - 37*t for t. 97 Solve 357*u + 14735 = 778*u for u. 35 Solve -154*r + 482*r = 1556*r + 137536 for r. -112 Solve 182*n - 15818 = -945*n + 20246 for n. 32 Solve 138*z + 2496 = 188 - 2246 for z. -33 Solve -15*j - 440 - 483 - 72 = 10 for j. -67 Solve 563*y - 363*y - 317*y = 7722 for y. -66 Solve -22*l + 1495 = -456*l + 25365 for l. 55 Solve -324 + 110 = -42*h + 122 for h. 8 Solve -3469 - 4442 - 3212 = -145*y - 828 for y. 71 Solve -25722 - 11380 - 15104 = 791*h for h. -66 Solve 1906*m - 6053 - 293189 = 0 for m. 157 Solve 0 = 4055*v - 3529*v + 14728 for v. -28 Solve -40201 = -7510*d + 4859 for d. 6 Solve 4*c = -1146 + 1146 for c. 0 Solve 230*o + 681 = -4839 for o. -24 Solve 4863 - 11557 = 29*u - 343*u + 17798 for u. 78 Solve -6866 = 182*u - 12482 - 9079 - 2777 for u. 96 Solve 61*x = -41*x + 22*x - 7*x + 1044 for x. 12 Solve -442*r - 108*r - 6284 = 713*r + 11398 for r. -14 Solve -735*n + 596*n = 1287 - 10183 for n. 64 Solve -574*t + 2992 = -387*t for t. 16 Solve 81*t - 4315 - 3726 = 268*t for t. -43 Solve -1738 = 38*b + 2144 - 3502 for b. -10 Solve -928*k + 17462 - 6254 = -15704 for k. 29 Solve 729*r - 164576 = 252*r + 17*r - 724*r for r. 139 Solve 184*d = 365*d + 530*d - 12798 for d. 18 Solve -4841*j + 117990 = -284*j - 187*j for j. 27 Solve -5887*t = -5788*t - 4851 for t. 49 Solve 11961*d + 343990 + 171740 = 49251 for d. -39 Solve -429581 = 740*x + 3594*x - 9183 for x. -97 Solve 208*j - 3828 + 1896 = -114*j for j. 6 Solve -203*v + 643*v = -1499*v - 62673 + 12259 for v. -26 Solve 129*p - 317557 = -324265 for p. -52 Solve 1332*g = -344*g + 40698 - 13816 + 66974 for g. 56 Solve 4605*r + 30544 = 150274 for r. 26 Solve 67*h + 79624 - 83510 = 0 for h. 58 Solve -179 = 51*q + 349 + 684 - 141 for q. -21 Solve -9094*i - 64312 = -1931*i + 2773*i + 54920 for i. -12 Solve 113180*a + 1105 = 113115*a - 5070 for a. -95 Solve 195*k = -221*k + 438*k + 440 for k. -20 Solve 1487585*w + 7242 = 1487798*w for w. 34 Solve 0 = -1440*n - 1052*n + 14952 for n. 6 Solve -1549*l - 42898 + 48828 + 62226 = 0 for l. 44 Solve 179*k + 7314 = 470*k - 132*k for k. 46 Solve 318*i - 22235 = -468*i - 18381 + 40162 for i. 56 Solve -13203 = -30*y - 459*y for y. 27 Solve -20*p = 6500*p + 163000 for p. -25 Solve 29624833 = -91*j + 29632841 for j. 88 Solve 53*k + 81*k = -1785 - 1212 + 853 for k. -16 Solve -1216 = 195*k - 163*k for k. -38 Solve 0 = -208*b + 1356*b - 6888 for b. 6 Solve -13422 = -592*p + 19163 - 2022 + 6733 for p. 63 Solve 777 + 739 - 95 = -203*r for r. -7 Solve -2560080 = -92*q - 2564772 for q. -51 Solve 0 = -138*r + 15141 - 9483 for r. 41 Solve 296*s + 1681*s + 14444 + 5137 = 1788 for s. -9 Solve 118347*s = 118284*s + 315 for s. 5 Solve -8820 = 53*k + 26*k + 61*k for k. -63 Solve 1660*q + 1556*q - 1150*q = -18594 for q. -9 Solve -472394 = 169*v - 466986 for v. -32 Solve -32*d + 166*d = 51*d - 6225 for d. -75 Solve 195*u = 386*u - 159*u - 1184 for u. 37 Solve 175*w + 82063 = 68588 for w. -77 Solve -353*n + 16050 = -80*n + 797*n for n. 15 Solve -287841*q + 26063 = -287452*q for q. 67 Solve -1730612 = 735*
{ "pile_set_name": "DM Mathematics" }
y + v*w and give y. -2 Express 6*v**3 - 3*v**3 - v**4 - v**4 - v + 3*v in the form t + d*v**4 + z*v + w*v**2 + i*v**3 and give i. 3 Rearrange 11*h**3 - 1 - 2*h - 12*h**3 + 2*h - 24*h**2 to the form q + u*h + m*h**2 + s*h**3 and give q. -1 Rearrange -20*s - 7*s + s - 8*s to the form h + a*s and give a. -34 Express (2*l - 4*l + l + (-1 + 4 - 5)*(l + 3 - 3))*(-2 - 2 + 6) + 14 - 14 + 5*l as u*l + m and give u. -1 Rearrange p - 4*p + p + 0*p to q + f*p and give f. -2 Rearrange (0 - 12*i**2 + 0)*(2 - 2*i**2 - 2 + (-1 + 2*i + 1)*(2*i - 4*i + i) + 0*i**2 + i**2 + i**2) to f*i**4 + h*i**2 + k*i + q*i**3 + z and give f. 24 Express (n - 2*n + 2*n)*(-5*n**2 - 3*n**2 - 5*n**2) in the form a + g*n**2 + c*n + l*n**3 and give l. -13 Express (0 + 0 - d)*(1 - d - 1) - 3*d**2 - 3*d**2 + 2*d**2 + (-3 - d + 3)*(d + 0*d + 0*d) as s*d + b*d**2 + h and give b. -4 Express -6 - 10*f**2 + 11 - 3 - 6 as z*f**2 + u + r*f and give z. -10 Express 44*g - 2 - 8*g + 7*g as s*g + u and give s. 43 Rearrange 6*k**3 + 3 + 9*k**3 - 16*k**3 - 2*k + (-2*k**3 + k**3 - k**3)*(2 - 4 + 4) to the form f + l*k**2 + x*k**3 + d*k and give d. -2 Rearrange (-17*n**3 + 36*n**2 - 36*n**2)*(n + 0*n - 3*n) to r*n**4 + s + t*n**2 + p*n + m*n**3 and give r. 34 Rearrange (2*a**2 - 3*a**2 + 0*a**2)*(3*a - 4*a - 3*a) + (-5 + 3 + 4)*(-5 - 2*a**3 + 5) + 0 + 0 - 2*a**3 to t*a**3 + b*a + w*a**2 + s and give w. 0 Rearrange (-2*v**2 + v**3 + 2*v**2)*(-4 - 1 - 3) to the form x + f*v**2 + w*v**3 + n*v and give w. -8 Express -g**4 + 5 + 2*g**2 + 2*g + 1 - 4 as m*g**3 + v + f*g**4 + i*g + w*g**2 and give w. 2 Rearrange (8*l**2 + 2*l**2 - 4*l**2)*(3*l**2 - 2*l**2 - 2*l**2) to the form y*l**3 + g*l**2 + w + j*l**4 + c*l and give j. -6 Express (-13*l + 21*l - 4*l)*(21 - 3 + 1)*(0 + 2 + 0) as d*l + f and give d. 152 Express (-y - y + y)*(-y**3 + 3*y**3 - y**3) + (-10*y**2 - 9*y**2 + 10*y**2)*(2*y**2 + 0*y + 0*y) as i*y**4 + p*y + n*y**2 + w + h*y**3 and give i. -19 Rearrange 8*o + 9*o + 17*o to the form r + k*o and give k. 34 Express 4*p - p**2 + 0*p**2 + 37*p - 6*p in the form h*p**2 + o + f*p and give f. 35 Express (-2*y + 3*y - 4*y)*(0*y - y + 1 + 3*y) as g*y + p*y**2 + o and give p. -6 Express 13*t - 3*t + 7*t as q + d*t and give d. 17 Rearrange 0*d**4 + 2 + d + 4*d**4 + 3*d**4 - 3*d + 2*d**2 to g*d**4 + p*d**2 + f*d + r*d**3 + w and give g. 7 Express -8*z**2 + 5*z**2 - 5*z**2 - 4*z**2 as r + s*z**2 + c*z and give s. -12 Rearrange -4*b**4 + 22 - 22 + 3*b**4 - 2*b**3 - 23*b**2 to y*b**2 + u*b**4 + q*b + c*b**3 + r and give y. -23 Express -10*s + 139 - 4*s - 142 as g + y*s and give y. -14 Express (-6*d**2 + 3*d**2 + 2*d**2)*(2*d - 3*d + 2*d) + 2 + 5*d**3 + d**2 + 33*d + 29*d - 61*d in the form b*d**2 + g*d + p*d**3 + c and give b. 1 Rearrange (-6*k**2 - 6*k**2 + 2*k**2)*(-k - k + k)*(4*k - 2*k + 0*k + (-1 + 3 + 0)*(-2*k + 0 + 0)) to l*k + b*k**2 + p*k**4 + s + m*k**3 and give p. -20 Express 13*q - 2*q + 14*q as z*q + x and give z. 25 Express 2 + p**4 - 2 + (-149 + 149 - 4*p)*(-3*p**3 - p**3 + 2*p**3) as y*p + v*p**4 + h*p**3 + q + l*p**2 and give v. 9 Express -6*w + 2 - 2*w + 8*w - w + w**4 as s*w + x*w**4 + v + d*w**3 + g*w**2 and give s. -1 Rearrange 21*r + 22*r + 1 - 59*r + 30*r to z*r + f and give z. 14 Express (3*f**2 + f - f**3 + 3*f**3 + 2*f**2)*(f + 7*f + f) in the form o*f**3 + w*f**2 + b*f**4 + r*f + i and give b. 18 Express 7*d**4 + d**4 + 2*d**4 + (-4*d**2 + d**2 - d**2)*(-5*d**2 + 3*d**2 + 4*d**2) as n + y*d**3 + c*d**2 + m*d**4 + b*d and give m. 2 Express (-65*f - 33*f + 4*f)*(0 + 0 - 2*f) as x + y*f + o*f**2 and give o. 188 Rearrange 3 - 6 + 8*g**2 + 1 to m + a*g + c*g**2 and give c. 8 Express (3 - 2 + 2)*((4 - 6 + 3)*(4*n + n**2 - 4*n) - 4*n**2 - n**2 + 2*n**2) - n**2 - n**2 + n**2 in the form j*n**2 + l + o*n and give j. -7 Express 5*g**2 + 28*g**2 + 28*g**2 + g**2 in the form l*g + f*g**2 + x and give x. 0 Express (-3 + k**2 + 3)*(-1 - 2 + 2) + 2*k - 29 + 6*k**2 + 28 + 7*k**2 + k**2 - k**2 - 2*k**2 as g + i*k**2 + q*k and give i. 10 Express 13*y**2 + 4 - 2 - 2 in the form n + z*y**2 + p*y and give z. 13 Express -6*l**2 - 244 - 248 + 504 in the form g + p*l**2 + v*l and give p. -6 Rearrange 3 + 3*t**3 + 5 + 0 to z*t + d*t**3 + w + n*t**2 and give w. 8 Express 2*j**2 - j**2 + j**2 + (4*j - 4*j + 2*j)*(-2*j + 2*j + 2*j) - 6*j**2 + 34*j**2 - 16*j**2 as p*j + i + z*j**2 and give z. 18 Rearrange 6 + m**3 + 15*m**3 - 12*m**3 - 3*m**3 + 2*m**2 to j*m + g + v*m**3 + c*m**2 and give c. 2 Rearrange (-4*j - 5 + 5)*(2 - 5 + 1)*(-5 + 4 - 2) to n*j + o and give n. -24 Express 1 - 8*v**3 - v**2 + 19*v**3 - v - 15*v**3 in the form o*v**3 + l*v + x*v**2 + n and give o. -4 Rearrange (-2 - 1 + 0)*(3*n + 0*n - 5*n) - 2*n + 6*n - 2*n - 16 + 16 - 2*n to s + o*n and give o. 6 Express 0 - 9*k**2 + 0 - 5*k**3 + 3*k**2 as z*k**2 + a*k + f*k**3 + m and give f. -5 Rearrange 73 + t - 72 - t + 162*t**2 to the form u + d*t + y*t**2 and give y. 162 Express 12*h**2 + 4*h**2 + 3*h**2 - 5*h**2 in the form m + s*h**2 + x*h and give s. 14 Express -46*k - 15*k - 11*k as g*k + p and give g. -72 Rearrange -4*c**2 + 2*c**2 - 3*c + 2*c**4 + 2*c - 5*c**3 + 0 + 1 to j + g*c**2 + f*c + q*c**4 + n*c**3 and give n. -5 Rearrange (3*g - 3 + 3 - 4*g - g + 4*g + (2 - 1 - 3)*(-2 - 2*g + 2))*(-1 + 1 + g**2) to i*g**2 + x + k*g + v*g**3 and give v. 6 Rearrange -11 - g + 4*g**3 + 15 + 3*g**2 - 5*g**3 - g**2 to the form v*g**2 + y + a*g**3 + t*g and give a. -1 Express -2 - 12*s**2 + 2 - 42*s**2 as t*s**2 + w + c*s and give t. -54 Express 3 - 16*g - 3 + 10*g + 3 in the form i + r*g and give r. -6 Rearrange -2 + 1 - 2*w**2 + 8*w**4 - 6*w**4 to the form p*w**2 + j*w**4 + h*w**3 + f + q*w and give f. -1 Rearrange -3*q**3 + q - 2*q**2 - 4 + 6*q**4 + 0 - 8*q**4 + q**3 to the form w*q**4 + h*q + r + a*q**3 + c*q**2 and give w. -2 Rearrange 0*x**4 + 4*x**4 + 4*x - 2*x + (2 + 2 - 3)*(x - x - 5*x**4) to k*x**4 + h + u*x**2 + d*x**3 + l*x and give h. 0 Express ((2*v - 2*v + 5*v)*(-3*v - 2*v + 3*v) + (2*v**2 - 3*v**2 - v**2)*(-3 + 0 + 4))*(-4*v**2 + 2 - 2) as r + k*v**3 + h*v**4 + j*v**2 + o*v and give h. 48 Express (2 - 5 - 2)*(-3*m - 8*m + 4*m) - 2*m + m + 0 + 2 as s + f*m and give f. 34 Express (-24 - 15 - 1)*(-t**2 + 5*t**2 - 2*t**2 - 1 - 2*t**2 + 1 + (2 - 1 - 2)*(t**2 + t**2 - t**2) - t + t - t**2) in the form z*t**2 + w + r*t and give z. 80 Express -3*t + 3*t - 8*t - t as i + c*t and give c. -9 Rearrange -u + 3*u + 14*u + 16*u to the form p*u + i and give p. 32 Express 700*h**3 - 2*h**2 - 713*h**3 - 3*h + h in the form i + g*h**2 + u*h + q*h**3 and give q. -13 Express (0*c - 4*c + 2*c)*(3 + 13 - 9)*(-2 + 0 + 0) in the form l + s*c and give l. 0 Express ((3*v + 0*v - v)*(3 - 5 + 1) + v + v - 3*v + 0*v + 0*v - v)*(13*v**3 + 5*v**3 + 42*v**3) as t + s*v**2 + n*v**3 + b*v**4 + h*v and give h. 0 Express -3*g**3 + 0*g - 2*g - g - g - 1 in the form z*g**3 + w + c*g**2 + i*g and give i. -4 Rearrange -746*m + 746*m - 26 + m**3 to the form f*m**3 + i*m + l + c*m**2 and give i. 0 Express 24*i - 582*i**2 - 4*i**3 + 582*i**2 as g + c*i**2 + q*i + x*i**3 and give x. -4 Express -4 + 4 - p**4 + (0 + 0 + 2*p**2)*(16*p - 7*p**2 - 16*p) as y*p**2 + g*p**4 + v*p**3 + x*p + d and give x. 0 Express ((1 + 1 - 1)*(-5 + 2 + 2) - 1 + 2 + 2)*(-1 + 0 + 0)*(-2*b + 2*b + 2*b**2) as a*b + p*b**2 + s and give p. -4 Rearrange -3*o**2 + 7*o + 124*o**3 - 123*o**3 + 3*o**2 + 2*o**4 to the form i*o**4 + p*o**3 + k*o**2 + j*o + g and give g. 0 Express 8*j**4 + 11*j**2 - 23*j**4 - 2 - 7*j**2 + 16*j**4 in the form z*j**3 + u*j + i*j**4 + w + t*j**2 and give z. 0 Rearrange h**4 - 2*h + 2*h - 3*h**4 - h**2 - 4 to f*h + b*h**4 + g*h**3 + y + k*h**2 and give y. -4 Express (-p + 5*p - 3*p)*(4*p**2 - 6*p + 6*p)*(0 - 1 + 3) in the form o*p**3 + j*p + w*p**2 + z and give o. 8 Rearrange -5*m - 2*m**2 + m**2 + 7*m to v*m**2 + z*m + i and give v. -1 Rearrange 0*x**3 + x**2 - 2*x + 5*x**3 - 9*x**3 to h*x + n + g*x**2 + s*x**3 and give h. -2 Express (k**2 + 0 + 0)*(-1 + 4 - 5 - 4 + 2 + 3 + (-1 - 1 + 0)*(-5 + 6 - 4)) in the form h + n*k + s*k**2 and give s. 5 Rearrange -b + 7 + 4 - 7 + 6 to the form o + d*b and give o. 10 Rearrange (-2*f - 2 - f + 6*f)*(0 + 5 - 6 - 2*f) to m*f**2 + v*f + w and give m. -6 Rearrange 3*a + 2*a - 3*a - 4*a to the form b + g*a and give g. -2 Express (-10 - 13 + 22)*(0*a + 0*a -
{ "pile_set_name": "DM Mathematics" }
+ 285. Solve 5*t - 4*j = z, -j + 29 = 5*t - 0*t for t. 5 Let g = -10 + 14. Let j(z) = z**2 + 17*z + 19. Let n be j(-16). Suppose n*t + 34 = 5*d, 2*d + g*t = -0*d - 2. Solve v = -4*b - d, 2*b - 12 - 3 = 3*v for b. 0 Let p = 222 + -216. Solve 5*w + p - 16 = -5*s, -s + 4*w + 12 = 0 for s. 4 Let y = 12 + -7. Suppose 38 = -y*g - 12. Let w be (-52)/g - 3/15. Solve 0 = w*a + d + d + 15, 0 = 2*a + 4*d + 6 for a. -3 Let z(o) = o**3 + 6*o**2 - 3*o - 15. Let i be z(-6). Solve 2*a = l - 10, 0*l - 15 = -i*l + a for l. 4 Let l(c) = 2*c**3 - 13*c**2 - 5*c + 8. Let j be l(7). Let u = j - 20. Solve w - 5*s - 5 = 0, -u*s - 2 = -s for w. -5 Let d(l) = -l**3 - 9*l**2 + l + 12. Let b be d(-9). Let k be 3/(-18) - 26/(-12). Solve 4*o - b*y - 8 = 0, 2*o - k*y - 2*y - 14 = 0 for o. -1 Suppose 118 = 5*f + 2*m, -f + 5*m + 21 + 8 = 0. Solve -4*z + f = -4*u, 0 = 2*u + 2*u - 2*z + 20 for u. -4 Suppose 2*v - 60 = 4*q - 28, 3*q = -3. Solve -10*n = -2*a - 5*n - v, 0 = -2*a - 3*n + 18 for a. 3 Let u = 5 + -2. Let i = -113 + 116. Solve i*p + p - 12 = 2*r, -2*r - 9 = -u*p for p. 3 Let p = -1553 + 1559. Solve -4*l + p*l = -5*d + 35, 30 = 3*d + 3*l for d. 5 Let z = 104 - 103. Suppose 1 + 0 = o. Solve 3*w - x - z = 0, w - x = -0*x - o for w. 1 Let n(j) = j**3 + j**2 - j. Let d be n(0). Suppose -o + d*o = 0. Let h(p) = -p**3 + p**2 + 2. Let s be h(o). Solve -3*a - s*y = y + 18, 5*a = y - 6 for a. -2 Let b(t) = 9*t - 122. Let y be b(14). Solve 5*q + 20 = -y*r + 9*r, -5*r = -2*q - 20 for q. 0 Suppose -15*y + 27 = -18. Suppose -2*s = -11 + y. Solve -5*i + 15 = 4*t - 5, 20 = s*t for i. 0 Suppose 4*a = 17 - 5. Let n(f) = f**2 + f - 4. Let p be n(a). Suppose 2*k = -0 + p. Solve 0 = 4*g - k*t, -g = 3*t - 19 - 1 for g. 5 Let n(p) = p - 1. Let j be n(1). Let i(d) = 60*d + 544. Let o be i(-9). Solve 5 = 5*q - b - o, j = q - 4*b - 17 for q. 1 Let k(d) = -d**3 - 10*d**2 - 2*d - 18. Let p be k(-10). Let i(o) = 3*o - 22. Let j be i(9). Solve p*v + 7 + 21 = 5*z, -2*z = -j*v - 28 for v. -4 Let a = -62 - -60. Let q be -2 - (a - 0 - 3). Solve q*x + 5*h - 1 = -3, 2*x = -h + 1 for x. 1 Let i(n) = n**2 + n - 1. Let o be i(-4). Suppose -4*w + 11 = -f, -w + 0*f + 3*f = -o. Suppose 0 = -w*z + 3 + 1. Solve 24 = 4*b - 4*k, z*b + 2*k = 11 - 3 for b. 5 Suppose -v - 3*v = -5*w - 24, 6 = v - 4*w. Suppose 2*s + v = 5*s. Suppose s*g - 42 = -g. Solve -d - 5*f = 3*d - g, 4*d - 12 = -4*f for d. 1 Suppose g + z = 1, g + 0*z - 3*z = 1. Suppose 0*l - 3*l - 8 = -4*p, p = l + g. Solve 3*q = -4*r + 22, 0*q - 8 = 4*q - l*r for q. 2 Suppose -5*k + 100 = 5*z, -5*k + 56 = 3*z - 3*k. Solve z = 3*g - 5*x + 3*x, -x = -2*g + 9 for g. 2 Suppose 4*d - 19 = -7. Let x be 15/d + (2 - 1). Suppose 2*t - 3*c = -t + 57, -2*c + 42 = 3*t. Solve 0 = -z - 3, 5*r - x = -z + t for r. 5 Let q be 290/90 - 4/18. Let w be (-223)/(-15) + (-64)/(-480). Solve -2*k = 3*f + 2*k + w, -2*k = -q*f + 3 for f. -1 Let d(t) = t**3 + 7*t**2 + 2*t + 3. Let p be d(-7). Let b = -5 - p. Let j(s) = s**2 - 6*s + 4. Let r be j(b). Solve m + g = 4 - 3, -r*m + g = -4 for m. 1 Suppose -5*i - 3 = -18. Let f(j) = 13*j - 2. Let s be f(2). Let z = s - 24. Solve -2*x - 6 = -a, -3*x + z*a - 3 = -i*a for x. -5 Suppose 2*d - 50 = -8*d. Solve 4 = -2*m + d*j - 24, 0 = -m - 4*j + 12 for m. -4 Suppose -22 + 22 = 15*t. Solve 5*n = -4*h + 2*h + 27, 3*h - 3 = t for n. 5 Let l be -4 + 3/2*4. Suppose -4*a - 4 = -0*a. Let p = l - a. Solve z + 6*r - 8 = 3*r, p*r - 12 = -3*z for z. 2 Let r = -4 + 12. Suppose -5*q - 4*u + r + 11 = 0, q + 4*u - 7 = 0. Solve 2*d + 10 = -q*g + 1, 0 = -5*d + 2*g - 13 for d. -3 Suppose 6*y - y = 0. Suppose 157*r + 132 = 163*r. Suppose 0 = 5*s + x - r, 11 = -3*s - x + 23. Solve h - 3*o - 3 = -y*o, h + s = -o for h. -3 Suppose 0 = p + 3 - 0, p = -4*x + 9. Let r(l) = -3*l + x + 5*l - 12 - l. Let v be r(12). Solve z - 6*j - 11 = -2*j, 3*j + v = -z for z. 3 Suppose -22 + 12 = -5*n. Solve -c + n = 2*o, -o + 2*c - c = -7 for o. 3 Let u(q) = -3*q**2 - 24*q + 83. Let x(v) = 4*v**2 + 24*v - 83. Let i(s) = -5*u(s) - 4*x(s). Let h be i(19). Solve 4*o - 8 = -0*o - 3*w, 0 = -3*w - h for o. 5 Let l(a) = -a**3 - a**2 + 3. Let d be l(-1). Solve q + 3*q + d*x = -2, 3 = -3*q - 3*x for q. 1 Let f(l) be the first derivative of -l**4 + l**3 - 2*l + 12. Let b be f(-1). Solve 0 = b*a - g - 22, 0 = 4*a - 3*g - 10 - 1 for a. 5 Let x = -29 - -34. Suppose 12 = x*i - 18. Solve y - i = -a, -4 = 3*y - 13 for a. 3 Let w(v) = 2*v**2 - 16*v - 25. Let c = -44 - -55. Let p be w(c). Solve -p = -5*q + 4*f, -6*q = -8*q - 3*f - 2 for q. 5 Suppose 0 = u - 0*b + b - 35, -33 = -u - 3*b. Let q = u + -29. Solve 5*r = -0*c + 4*c - q, r + 7 = -2*c for c. -2 Let f = 5 - -24. Let m be (f - 23)*2/3. Solve l = 2*p - 7*p - 21, 4*p + 4 = -m*l for p. -5 Let r(f) = -f**2 + 7*f - 8. Let g be r(5). Suppose 2*v - b - 12 = 0, 0 = -4*v - g*b - 0*b + 16. Solve -d + 12 = 3*i, v*i = -4*d + 2*i + 21 for d. 3 Suppose 0 = 4*f - 8, 4*f - 5 = 6*b - 3. Solve 5*a + o - 5*o - 4 = 0, a - b = o for a. 0 Suppose -31 + 25 = -2*l. Solve 3*i + 4*p - l = 0, 4*i - i - 3 = 3*p for i. 1 Let c(t) = 3*t**2 - 2*t + 2. Let j be c(-3). Suppose -25*w + j = -18*w. Solve -w*p + 3*l = -20, p - 5*l - 26 = -0*l for p. 1 Let l = 32 - 28. Suppose -20 = -l*u - 4. Solve -5*r + 5*w = -5, u*r + 8 = 3*w - 5*w for r. -1 Suppose -y - 21 = -5*b - 2*y, 2*y + 18 = 2*b. Solve -b*a + 6 = 3*q - 0*q, 2*a = 4*q + 18 for q. -3 Suppose -4*t + 3*m = -16 + 2, -t - 4*m + 13 = 0. Solve -3*i - t*y + 2 = 0, -4*i - 6 = -i - 3*y for i. -1 Let l be 12*(1 + -2 - 104/(-78)). Solve -2*n - 12 = -a, -4*a + 6*a - l = -n for n. -4 Suppose 3*w + 54 = -4*c, -c + 2*w = 2*c + 32. Let f be (-1)/1*(-6)/c*-46. Solve -5*o + f = 3*d - 3, -2*o + 3*d = -2 for o. 4 Let z = -24 + 37. Let j(p) = p**3 - 10*p**2 + 22*p - 5. Let c be j(7). Solve -c*f - g = 6, f = -4*g + z - 2 for f. -5 Suppose 2*g - 5*y - 24 = g, 3*g = 5*y + 32. Solve 3*n + 14 = 4*q, -g*q + 6*q + n - 2 = 0 for q. 2 Let l = -99 - -99. Let d be l*(10/(-4) + 2)/1. Solve -2*o + 6 = d, -5*j + 3 = -2*o + 4 for j. 1 Let u be (-95)/(-25) + (-2)/(-10). Solve -u*z - 3*b + 2 = 0, -b + 5*b = -2*z + 6 for z. -1 Let j = -1483 + 1490. Let x(s) = s**3 + 6*s**2 - 2*s - 9. Let y be x(-6). Solve -c = -4*n, 3*c - j*c = y*n for n. 0 Let p(w) be the third derivative of w**5/60 + w**4/12 + 4*w**3/3 + 20*w**2. Let h be p(0). Solve 4 = -2*v, -5*v - 33 = -3*o - h for o. 5 Let d be ((-150)/(-60))/(0 + 2)*12. Solve x = -4*y - d, -3*y = 11 + 4 for x. 5 Suppose -1 = g - 15. Suppose 15*t = g + 1. Solve 2*d = 3*i - t - 3, -2 = -2*d for i. 2 Suppose 0 = -7*n + 3 + 32. Solve -2*b = -4*l - 30, n*l + 50 = 4*b + b for b. 5 Suppose -39*o + 50*o = 22. Solve -8 = -o*g - 0*v + 3*v, 3*g - 12 = -4*v for g. 4 Let j(l) = -l**3 - 6*l**2 - 2*l - 2. Let w be j(-5). Let s be w/(-6) + 3/18. Solve -n - 2 = -2*t - 3, -2*n = t + s for n. -1 Let b(h) = -h**3 - 59*h**2 - 6*h - 346. Let r be b(-59). Solve l + 3 = 0, -13*u = -r*u + 2*l + 31 for u. -5 Let o(y) be the second derivative of 0 - 1/6*y**3 - 1/2*y**2 + y. Let b be o(-6). Solve j + n = 6, -2*n - 9 - 14 = -b*j for j. 5 Suppose 2*m = 5*m - 60. Suppose -t = -m - 10. Let d be (-4)/(-5) + 96/t. Solve -d*l + n + 2*n - 10 = 0, -2*l = -5*n + 12 for l. -1 Let t = -783 - -800. Let i(s) = -s + 19. Let b be i(8). Solve -b = -4*a - r, a + 5*r = -a - t for a. 4 Let z = 100 + -69. Let w(g) = -30*g**2 - g - 6*g + z*g**2 + 7. Let m be w(6). Solve 4*c = m - 5, -1 = -4*u - 3*c for u. 1 Let l = -1 - 4. Let x(w) = -4*w - 1. Let h be x(2). Let v = l - h. Solve 3*c - 5 = t - 0, -v*t - 5*c = 20 for t. -5 Let v = -32 - -27. Let w be (174/(-15))/(2/v). Solve -4 + w = o - 4*j, -o + j = -10 for o. 5 Suppose g = 5, -2*f - 4*g = g - 55. Suppose -10 = -3*d + v, 4*d - 25 - f = -4*v. Solve -5 = -5*c - d*a, a = 2 + 2 for c. -3 Let g = 387 - 366. Let i(w) = w - 3. Let q be i(-8). Let c = g + q. Solve -u - 5*m + 11 + 18 = 0, -2*m + c = 0 for u. 4 Let l be -10 + (-25)/(-5) - -40. Suppose y = 5*p - 12 + l, -y + 7 = -p. Solve -2*b - 4*j + 21 = -3*b, j - 8 = y*b for b. -1 Let i be 4/(-16)*-4*(1 - -3). Suppose -i*s - 2*s + 30 = 0. Solve -3*c = 4*w - 1 + s, 0 = 5*w - c + 24 for w. -4 Suppose 2*y + y = 63. Let f = -15385 + 15390. Solve f*z - 2*u - 17 = 3, 0 = -3*z + 3*u + y for z. 2 Suppose y - 3*d = 21, 3*y + 2*d - 26 = y. Solve 0*o + 3*c = 3*o + 15, -3*o = 5*c + y for o.
{ "pile_set_name": "DM Mathematics" }
d without replacement from {v: 5, l: 1, c: 1, m: 2, d: 3, i: 1}. What is prob of picking 2 m, 1 v, and 1 d? 3/143 Two letters picked without replacement from {p: 5, e: 1, n: 1, o: 9}. Give prob of picking 1 p and 1 o. 3/8 Three letters picked without replacement from {h: 6, s: 13}. Give prob of picking 3 h. 20/969 Two letters picked without replacement from lxbxdylybbddb. Give prob of picking 1 x and 1 y. 2/39 Two letters picked without replacement from crrwn. What is prob of picking 1 w and 1 c? 1/10 Four letters picked without replacement from {c: 1, w: 4, o: 1, z: 1, q: 1}. What is prob of picking 4 z? 0 Two letters picked without replacement from {l: 1, u: 1, z: 1, y: 2, p: 1, o: 1}. What is prob of picking 1 l and 1 u? 1/21 What is prob of picking 3 m when three letters picked without replacement from {m: 3, i: 12}? 1/455 What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 4, a: 4, s: 12}? 24/95 What is prob of picking 1 f and 2 a when three letters picked without replacement from {g: 5, f: 2, o: 2, a: 2, k: 2, u: 3}? 1/280 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 2, w: 6, p: 2, r: 1, i: 1}. 1/33 Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {g: 1, q: 1, p: 1, e: 2, z: 1, u: 1}. 1/21 What is prob of picking 2 e and 2 k when four letters picked without replacement from {e: 6, k: 2}? 3/14 Two letters picked without replacement from {u: 3, k: 1}. Give prob of picking 1 k and 1 u. 1/2 What is prob of picking 3 s when three letters picked without replacement from {s: 7}? 1 What is prob of picking 4 y when four letters picked without replacement from {y: 4, c: 16}? 1/4845 Three letters picked without replacement from xpcxpxpxhxppxaxxpxax. Give prob of picking 1 p and 2 x. 9/38 What is prob of picking 2 u when two letters picked without replacement from iffuuzftzzfftiutfqzz? 3/190 Four letters picked without replacement from {e: 3, q: 13}. Give prob of picking 4 e. 0 Three letters picked without replacement from kkkikiiiikik. What is prob of picking 3 i? 1/11 Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 19, a: 1}. 1/10 What is prob of picking 2 z and 1 h when three letters picked without replacement from {p: 1, r: 1, i: 3, z: 11, h: 2}? 55/408 Calculate prob of picking 1 n, 1 a, and 1 t when three letters picked without replacement from {j: 3, n: 1, t: 2, u: 3, a: 1}. 1/60 Two letters picked without replacement from {j: 1, k: 3, o: 1}. What is prob of picking 2 k? 3/10 Four letters picked without replacement from {t: 8, i: 5}. What is prob of picking 4 t? 14/143 Three letters picked without replacement from asglssexeses. Give prob of picking 1 g, 1 x, and 1 a. 1/220 Three letters picked without replacement from {e: 3, h: 5}. Give prob of picking 3 h. 5/28 What is prob of picking 2 o when two letters picked without replacement from {o: 5}? 1 Two letters picked without replacement from {k: 4, z: 1, j: 5, f: 1}. What is prob of picking 1 z and 1 j? 1/11 What is prob of picking 2 q when two letters picked without replacement from {q: 2, o: 1, d: 4, f: 1}? 1/28 Four letters picked without replacement from wgwkwwggwhwu. Give prob of picking 1 w, 1 u, 1 h, and 1 g. 2/55 Two letters picked without replacement from {m: 6, s: 2, h: 2, y: 1, j: 8, a: 1}. What is prob of picking 1 y and 1 h? 1/95 Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {d: 10, g: 10}. 10/19 Two letters picked without replacement from {s: 1, z: 4, j: 1, o: 2}. What is prob of picking 1 o and 1 j? 1/14 Calculate prob of picking 1 b, 1 g, and 2 n when four letters picked without replacement from {g: 1, n: 4, k: 2, q: 1, b: 11, h: 1}. 22/1615 What is prob of picking 1 p and 3 k when four letters picked without replacement from kkkxxepppkxkkx? 60/1001 Calculate prob of picking 1 t and 1 k when two letters picked without replacement from vktktnkkn. 2/9 Three letters picked without replacement from {p: 11, k: 1, i: 1, b: 2, n: 1}. What is prob of picking 1 i, 1 k, and 1 b? 1/280 Calculate prob of picking 1 i, 1 m, and 1 w when three letters picked without replacement from ymwdmimmijidm. 15/286 Calculate prob of picking 1 x, 1 y, 1 o, and 1 a when four letters picked without replacement from oayyayyxoxaaaoy. 10/91 Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {y: 1, g: 4, l: 2, k: 7, j: 1}. 2/15 What is prob of picking 3 n when three letters picked without replacement from nonnnonnnnoonnno? 33/112 Three letters picked without replacement from vvxxxzzxxbnbbxz. Give prob of picking 1 x, 1 b, and 1 z. 54/455 Two letters picked without replacement from {s: 3, g: 3}. Give prob of picking 1 s and 1 g. 3/5 Two letters picked without replacement from piipip. What is prob of picking 1 i and 1 p? 3/5 Two letters picked without replacement from {r: 2, m: 8, h: 2, c: 6}. Give prob of picking 1 h and 1 r. 4/153 Three letters picked without replacement from yvvqyqqhqlqqkllqqqq. What is prob of picking 1 h, 1 y, and 1 l? 2/323 Calculate prob of picking 3 n when three letters picked without replacement from znnfzf. 0 What is prob of picking 2 i when two letters picked without replacement from {w: 12, i: 7}? 7/57 What is prob of picking 3 j and 1 e when four letters picked without replacement from juuejuuje? 1/63 Calculate prob of picking 1 f and 3 n when four letters picked without replacement from {f: 3, n: 9}. 28/55 Three letters picked without replacement from {j: 6, q: 3, y: 2, d: 4}. What is prob of picking 2 q and 1 j? 18/455 Calculate prob of picking 3 l when three letters picked without replacement from {m: 7, l: 3}. 1/120 Two letters picked without replacement from qqxiqdqvvd. Give prob of picking 2 d. 1/45 Two letters picked without replacement from {t: 3, l: 5, v: 7, d: 2, m: 1}. Give prob of picking 1 v and 1 t. 7/51 What is prob of picking 1 d and 1 h when two letters picked without replacement from {d: 2, n: 1, e: 1, t: 1, h: 1, m: 1}? 2/21 What is prob of picking 1 y, 1 a, and 1 u when three letters picked without replacement from yaayayyuyya? 8/55 Calculate prob of picking 1 n, 1 v, 1 p, and 1 r when four letters picked without replacement from vvvpvnvrv. 1/21 Four letters picked without replacement from bubbubduuudbbububu. Give prob of picking 1 u and 3 b. 112/765 What is prob of picking 2 v when two letters picked without replacement from zzvzvvvvvzv? 21/55 Three letters picked without replacement from {l: 2, k: 9}. Give prob of picking 2 l and 1 k. 3/55 Four letters picked without replacement from {r: 2, f: 2, h: 8, v: 4, e: 2, d: 1}. What is prob of picking 4 h? 35/1938 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from msmumjnusksknmju. 1/20 Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, m: 7}. 1/36 Calculate prob of picking 1 a and 1 s when two letters picked without replacement from saa. 2/3 Three letters picked without replacement from avvqdvqalvqyvvqvl. Give prob of picking 1 d and 2 q. 3/340 What is prob of picking 3 l and 1 r when four letters picked without replacement from rrolzrollwrllllwwoz? 35/969 Two letters picked without replacement from tztptuzhtztuzttzptu. Give prob of picking 1 h and 1 z. 5/171 Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 1, d: 6, z: 2, i: 2}. 2/55 Calculate prob of picking 2 g when two letters picked without replacement from {j: 2, b: 1, g: 2, p: 1}. 1/15 Two letters picked without replacement from esssckheseewcess. What is prob of picking 1 c and 1 w? 1/60 Four letters picked without replacement from {d: 1, a: 19}. Give prob of picking 3 a and 1 d. 1/5 Calculate prob of picking 2 c and 1 q when three letters picked without replacement from qcqccqccqqqcqqcqcc. 27/68 Calculate prob of picking 2 j and 2 v when four letters picked without replacement from {j: 4, v: 6, c: 4}. 90/1001 Four letters picked without replacement from {n: 1, k: 2, a: 2, j: 14, m: 1}. Give prob of picking 1 n, 1 m, 1 a, and 1 j. 28/4845 Two letters picked without replacement from iiiiaiai. What is prob of p
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 103797 is divided by 2908? 2017 Calculate the remainder when 370284 is divided by 914. 114 What is the remainder when 12469653 is divided by 1837? 97 Calculate the remainder when 95422540 is divided by 11. 4 What is the remainder when 333197253 is divided by 6153? 6150 Calculate the remainder when 267073 is divided by 433. 345 Calculate the remainder when 625144 is divided by 2408. 1472 Calculate the remainder when 7810447 is divided by 2603480. 7 Calculate the remainder when 2767095 is divided by 2767065. 30 Calculate the remainder when 28698 is divided by 4810. 4648 Calculate the remainder when 224940 is divided by 1700. 540 Calculate the remainder when 726148 is divided by 36193. 2288 What is the remainder when 1018553 is divided by 129? 98 Calculate the remainder when 24554917 is divided by 24554905. 12 Calculate the remainder when 6667519 is divided by 44. 23 What is the remainder when 13612 is divided by 1480? 292 Calculate the remainder when 421348 is divided by 5799. 3820 What is the remainder when 1379086 is divided by 344759? 50 What is the remainder when 127949 is divided by 814? 151 Calculate the remainder when 177735 is divided by 388. 31 What is the remainder when 5495997012 is divided by 405? 402 Calculate the remainder when 429684 is divided by 886. 860 What is the remainder when 3633 is divided by 674? 263 Calculate the remainder when 158700 is divided by 476. 192 Calculate the remainder when 57028 is divided by 9345. 958 Calculate the remainder when 29791 is divided by 163. 125 Calculate the remainder when 267555167 is divided by 9. 8 What is the remainder when 13154624 is divided by 13154481? 143 Calculate the remainder when 624783 is divided by 52025. 483 Calculate the remainder when 10752726 is divided by 46. 42 Calculate the remainder when 811395 is divided by 13986. 207 Calculate the remainder when 587561 is divided by 489. 272 Calculate the remainder when 5965679 is divided by 112. 111 What is the remainder when 7124491 is divided by 395802? 55 What is the remainder when 674279 is divided by 1872? 359 What is the remainder when 52765820 is divided by 177? 173 What is the remainder when 919966 is divided by 1783? 1721 Calculate the remainder when 3358238 is divided by 1119406. 20 Calculate the remainder when 9996 is divided by 1226. 188 Calculate the remainder when 8746 is divided by 3179. 2388 What is the remainder when 1903889 is divided by 383? 379 What is the remainder when 1966214 is divided by 115640? 334 What is the remainder when 45059473 is divided by 56? 25 Calculate the remainder when 179907 is divided by 286. 13 What is the remainder when 318352 is divided by 2277? 1849 Calculate the remainder when 8554892 is divided by 275964. 8 Calculate the remainder when 28827 is divided by 1474. 821 What is the remainder when 42403 is divided by 8456? 123 What is the remainder when 47352738 is divided by 22? 4 What is the remainder when 6463048 is divided by 380178? 22 What is the remainder when 15637 is divided by 4982? 691 Calculate the remainder when 97774206 is divided by 729. 726 Calculate the remainder when 654528 is divided by 29751. 6 What is the remainder when 9159717 is divided by 888? 885 Calculate the remainder when 117339609 is divided by 10. 9 Calculate the remainder when 2727731 is divided by 78. 71 Calculate the remainder when 106230 is divided by 162. 120 What is the remainder when 138720 is divided by 9902? 92 What is the remainder when 3435162 is divided by 154? 38 Calculate the remainder when 3298547 is divided by 824629. 31 Calculate the remainder when 2860580 is divided by 83. 68 What is the remainder when 198109991 is divided by 3084? 3083 Calculate the remainder when 665126 is divided by 221689. 59 Calculate the remainder when 40587109 is divided by 68. 17 Calculate the remainder when 98072 is divided by 49028. 16 Calculate the remainder when 206099 is divided by 1398. 593 What is the remainder when 117215 is divided by 190? 175 Calculate the remainder when 1522902 is divided by 717. 711 What is the remainder when 10820409 is divided by 1082040? 9 What is the remainder when 46714732 is divided by 160? 12 Calculate the remainder when 19732541 is divided by 133. 129 What is the remainder when 1032691 is divided by 1201? 1032 Calculate the remainder when 450234 is divided by 1410. 444 What is the remainder when 2178287 is divided by 3519? 26 What is the remainder when 148811 is divided by 4799? 42 Calculate the remainder when 1421161 is divided by 1822. 1 What is the remainder when 41156 is divided by 366? 164 What is the remainder when 4598259 is divided by 328447? 1 Calculate the remainder when 2238205 is divided by 1119086. 33 What is the remainder when 89214 is divided by 405? 114 What is the remainder when 990392 is divided by 227? 218 What is the remainder when 53396 is divided by 26425? 546 Calculate the remainder when 51087 is divided by 14487. 7626 Calculate the remainder when 2297866 is divided by 79236. 22 Calculate the remainder when 785656 is divided by 98162. 360 Calculate the remainder when 8156925 is divided by 2064. 2061 Calculate the remainder when 12627241 is divided by 9. 7 What is the remainder when 2283890 is divided by 4758? 50 Calculate the remainder when 518487 is divided by 1678. 1663 What is the remainder when 4761571 is divided by 575? 571 What is the remainder when 17603987 is divided by 4320? 4307 Calculate the remainder when 401960685 is divided by 79. 74 What is the remainder when 1007662 is divided by 503801? 60 What is the remainder when 285513 is divided by 561? 525 What is the remainder when 431100 is divided by 17229? 375 Calculate the remainder when 182136 is divided by 352. 152 What is the remainder when 5864206 is divided by 1302? 1300 Calculate the remainder when 479051 is divided by 307. 131 What is the remainder when 2963582 is divided by 246955? 122 What is the remainder when 37766507 is divided by 571? 567 What is the remainder when 254275 is divided by 1415? 990 Calculate the remainder when 83523033 is divided by 2. 1 What is the remainder when 300997 is divided by 75238? 45 What is the remainder when 250929830 is divided by 70? 60 Calculate the remainder when 6049 is divided by 222. 55 What is the remainder when 19144816 is divided by 1085? 1076 What is the remainder when 6428 is divided by 907? 79 What is the remainder when 2475638 is divided by 4493? 4488 Calculate the remainder when 23795431 is divided by 5268. 5143 Calculate the remainder when 2534915 is divided by 45263. 187 What is the remainder when 41890174 is divided by 612? 610 What is the remainder when 1539290 is divided by 769470? 350 Calculate the remainder when 360735141 is divided by 308. 305 What is the remainder when 12707388 is divided by 2426? 0 What is the remainder when 1745548 is divided by 10579? 13 What is the remainder when 928087 is divided by 3? 1 Calculate the remainder when 17978398 is divided by 14314. 14 Calculate the remainder when 4419578 is divided by 1079. 1073 What is the remainder when 184437 is divided by 44361? 6993 What is the remainder when 28057 is divided by 1098? 607 What is the remainder when 15039 is divided by 51? 45 Calculate the remainder when 45261 is divided by 15017. 210 What is the remainder when 215048433 is divided by 204? 201 Calculate the remainder when 48184 is divided by 5898. 1000 Calculate the remainder when 35926554 is divided by 16859. 25 Calculate the remainder when 736330 is divided by 38726. 536 What is the remainder when 1068827 is divided by 123? 80 Calculate the remainder when 334897 is divided by 111449. 550 Calculate the remainder when 140500737 is divided by 332. 329 What is the remainder when 20452953 is divided by 67? 64 What is the remainder when 4626634 is divided by 689? 688 Calculate the remainder when 130505 is divided by 16179. 1073 Calculate the remainder when 70778 is divided by 141. 137 What is the remainder when 255063 is divided by 1214? 123 Calculate the remainder when 2376764 is divided by 132016. 476 Calculate the remainder when 161367 is divided by 7265. 1537 Calculate the remainder when 3353668 is divided by 1117882. 22 Calculate the remainder when 152044 is divided by 126. 88 What i
{ "pile_set_name": "DM Mathematics" }
13)). 5 Calculate (11 + -1 - (-3 - -4)) + (1 - 3). 7 What is -24 - (-27 - (26 - 14))? 15 What is the value of (20 - 27) + 1 + (1 - -3) + -6? -8 Calculate (3 - 1) + (0 - -2) + (120 - 118). 6 -5 + (27 - 16) + 11 + -2 + 0 15 26 + 16 + (-42 - -12) 12 Calculate (5 - (13 - 14)) + 0. 6 What is -10 - ((-2 - -3) + -12 + (1 - -6))? -6 What is the value of 28 + (7 - (7 - -1 - -5)) - 4? 18 Calculate -24 + -6 + (-8 - -3) + 19 - -9. -7 What is the value of -14 + -1 + 1 + (-9 - (1 + 0))? -24 What is 33 - (66 - (-13 + 35))? -11 What is the value of -24 + 2 - (60 - 87)? 5 Calculate (-24 + 16 - -14) + (0 - -2). 8 What is -1 - (-1 + -13 + 19)? -6 What is the value of -5 + (11 + 2 - 8)? 0 -4 - 9 - 0 - (-4 - -3) -12 -9 - (-11 + -29 + 3 + (8 - -2)) 18 (19 - 18 - -10) + -7 + 24 28 What is 9 + 13 - (15 + -3 - 27)? 37 Evaluate (-10 + 8 - -10 - -1) + -7 + -9. -7 -67 - (1 - 31) - -17 -20 What is 3 - (0 + -1) - (8 - (42 + -52))? -14 What is the value of (-16 + 24 - -1) + -5 + 20? 24 What is the value of 4 + -30 + -28 + 3 + 28? -23 Calculate (-5 - -3) + 2 - (-13 - 9). 22 -13 - (6 - (7 + 0 - (-14 - -24))) -22 Calculate 0 - (-6 + (-6 - (-7 - 5)) + 7). -7 Evaluate 6 + -2 - -5 - 1 - 4. 4 -1 - (7 - 4 - 4 - -9) -9 Evaluate 9 - (6 + (6 - -18)). -21 What is the value of -30 - 1 - (5 + -10 + -7)? -19 1 - (-10 - (3 - 8)) - (-1 + -3) 10 What is (19 - -16) + (-35 - -16)? 16 Calculate -229 + 203 - (3 - 2 - 9). -18 What is the value of 1 + -5 - (39 + -9 + 12 + -15)? -31 (-8 - 19 - 16) + 26 -17 What is the value of 53 + -35 - 24 - (-34 + -1 + 4)? 25 Calculate -1 + 0 + (5 - (10 + -23)). 17 What is 17 + -17 + (-3 - 7) + (32 - -3)? 25 Evaluate 1 + (-6 + -9 - -4) + -2. -12 What is 25 + (-22 - -9) + -14? -2 Calculate -18 - (20 + -32) - (-2 + 0 - 25). 21 Calculate -146 + 141 + 1 + 19. 15 What is -7 - (-5 + 6 + 6 - 0)? -14 What is the value of 27 - ((4 - -3) + 7)? 13 What is -7 + (8 - (-3 - 2)) + (0 - -3)? 9 What is the value of 1 + -5 - (-3 + 7 - 29 - -3)? 18 What is the value of (4 - (-12 - -10)) + -4 + 2 + 5? 9 30 - ((11 - 15) + 20) 14 What is (-17 - -37) + -10 + -25? -15 Evaluate (1 - -1) + (-41 - (-2 + -20)). -17 Evaluate (-6 - (-9 + 11 - 5)) + -16. -19 (-15 - (0 + (-46 - -21))) + (-32 - 1) -23 Calculate (3 - -2 - (-11 - -19)) + 23 - 4. 16 Calculate -10 + (-1 + -3 - -9) + 24 + -29. -10 (-47 - -44 - (2 - (0 + 3))) + -1 -3 What is the value of -2 - 3 - (-15 + 7)? 3 -25 + -1 - (6 - 16) - -46 30 Evaluate (1 - 0 - (-9 - -13)) + (3 - 7). -7 What is the value of -4 - (-7 + 2 + -105 + 116)? -10 What is -14 + 20 + 4 + -23? -13 (-10 + 6 - 6) + (19 - -6) 15 9 + -7 + 5 + 1 + -2 6 What is the value of -20 + (1 + 15 - (-146 - -151))? -9 Calculate 36 - 40 - (0 + -5) - (25 + -8). -16 Evaluate 11 - (-17 + 34) - (-28 + 3). 19 What is -24 - (-10 + (-16 - -7))? -5 What is the value of -9 + 3 + (-3 - 0 - 8)? -17 -21 + -24 + 6 + 35 -4 Evaluate -81 - (-3 - (-13 - -56)). -35 What is 12 - (-14 + -6 - -11)? 21 Calculate 0 + -3 + -2 + -3 + 0 + 9. 1 Evaluate -117 - -107 - (3 + 2 + -19). 4 What is the value of (-8 + -2 + (-2 - -12) - 3) + 28? 25 40 + -49 + 17 + (5 - -1) 14 0 + -6 + 18 + 0 + -28 -16 (3 - (16 - 0)) + 22 9 What is the value of (4 - 1) + (-7 - -9 - -5 - 2)? 8 Evaluate (0 - (15 + -31)) + -1 + (-4 - -5). 16 -10 - ((-9 - (-4 - -2)) + -2) -1 Evaluate 19 + (-13 - -21 - 0 - 5). 22 What is the value of 3 - -36 - (-22 - -2 - -34)? 25 What is the value of 23 - 25 - (15 + -47)? 30 What is the value of -12 - (-9 + (-8 - -17))? -12 What is -30 + 25 + 0 + 43 + (3 - 12)? 29 Calculate -8 - 15 - (-16 - -16). -23 Evaluate (-3 - -5 - 3) + 0 - (-20 - -3). 16 What is the value of -1 + 8 - (271 - 258)? -6 What is -13 + (8 - -6) + 1 + 7? 9 Calculate -24 - (-9 - 3 - (-3 + -5)). -20 Calculate (5 - ((14 - 17) + -2)) + 0. 10 (-10 - (-32 + (10 - 15))) + -14 13 What is the value of (5 - 7 - -2) + 11 + 9 + 0? 20 -33 - (19 - 67) - (23 - 2) -6 Evaluate -12 - (18 + -16 - -2). -16 Calculate 8 - 19 - (-20 - 0). 9 Evaluate (-3 + 19 - 15) + 2 + -7. -4 Calculate (65 - 56) + (-1 - 13). -5 What is 16 - (84 + -74 + -1 + (-3 - 11))? 21 (17 - 18) + 8 + -15 + -3 -11 19 - (-3 + 25) - 0 -3 What is 1 + -37 + (-15 - -35)? -16 What is 11 + 12 - 7 - 4? 12 What is (7 - (22 + -18)) + -20 - (1 - 7)? -11 Calculate 8 + (41 - 20 - 0). 29 Calculate 7 - (-12 + 13 - 5). 11 What is the value of (0 - 2 - -6) + 0 + 15 + -1? 18 What is -4 + -11 - -36 - 37? -16 What is -16 + (7 - (-12 - -2))? 1 (0 + 11 - 2) + 22 + 50 + -81 0 Evaluate 2 + (-3 - 1 - 0) + (12 - 11). -1 -23 + -9 + (140 - 88) 20 1 + 2 - 5 - (-19 + 31) -14 (3 - 3) + -17 + (-37 - -45) -9 Calculate 13 + -19 - (-5 + -1 + -14 + -6). 20 What is the value of -51 + 60 + (-7 - 1) + 8? 9 What is the value of 1 + -1 + (74 - 78 - (-13 + -1))? 10 Evaluate (-11 + -5 - -14) + (-2 - -11). 7 Calculate -1 + 0 + -580 + 590 - -22. 31 What is 16 + -28 + (-3 - -7) + 2? -6 What is 17 + 14 + 6 + -26? 11 What is the value of -1 + 27 + -39 - (-26 - 0)? 13 What is the value of (-6 - 6 - (-15 - (-7 - 0))) + 27? 23 What is the value of -8 + -19 + -3 + 19? -11 Calculate 13 + 2 + -16 + 14 + -12. 1 9 + -11 + (11 - 14) + (0 - -15) 10 Calculate (-20 + 43 - 18) + 0 + 0. 5 Calculate -10 + 19 - (5 + 16 - 4). -8 Evaluate 0 - (-8 + 16 + (6 - (4 + 1))). -9 Calculate (45 - (30 + 6)) + (-7 - -1). 3 What is the value of 3 - (8 + -3) - (-25 - (-1 + -2))? 20 (-38 - -15) + (-2 - -19) -6 What is (0 - (-4 - (-3 - -7 - -7))) + -7? 8 Evaluate -7 - 3 - (-26 - (-3 - 2)). 11 Evaluate 4 + (32 - 13) - 22. 1 Calculate -3 + -5 + (30 - (6 + 1)). 15 31 - (-8 - 4 - -29) 14 -10 + -3 - (-66 + 54) -1 What is the value of -10 + -4 + (8 - -2) - 3? -7 Calculate (-3 - -2 - -5) + (9 + 1 - 6). 8 What is (-11 - (3 + -6)) + 5? -3 Calculate (-9 - -2) + (16 - 1) + -14. -6 What is 5 - ((-1 - (12 + -8)) + 1)? 9 22 - 0 - (-492 - -492) 22 Calculate 1 - (-4 + 1 - (0 + 5)). 9 What is -36 - (-93 - -14 - -30)? 13 What is the value of 15 + -20 + 3 + 1? -1 What is the value of (-9 - (0 + -2)) + (426 - 419)? 0 What is -14 + -2 + 25 + -10 + 6? 5 What is the value of 527 + -535 - (-3 + 1 - 3)? -3 -22 - (20 - (-8 - -23)) -27 What is -2 + 9 + 2 + (0 - (-7 - -13))? 3 Calculate -207 - -230 - (48 - 3). -22 What is the value of 10 + (1 - (-2 + 9))? 4 Evaluate -16 - (0 + (-3 - 3) + 11 + 2). -23 -7 + (-15 - -18 - 14) -18 What is the value of (-73 - -41) + 28 - -25? 21 -2 + 2 + 42 + -46 - -16 12 Calculate -43 - -51 - ((3 - 0) + 2). 3 Calculate -20 - (-17 + 3 - -1) - 3. -10 What is the value of -33 - ((29 - 29) + -9 + -1)? -23 Calculate (-1 - 8) + (7 - (12 + -3)). -11 What is -6 + ((-11 - -24) + 1 - 15)? -7 What is 2 + 9 + -17 + 1 + -3 - 7? -15 Evaluate -12 - (23 - (19 + 3)). -13 What is -29 + (12 - (-48 - -35))? -4 12 - (-163 + 183 - (1 - -13)) 6 Evaluate (7 + -8 - 2) + 9. 6 Calculate 13 + -10 + 1 - ((-4 - -2) + -11). 17 What is the value of -12 + 20 + -14 - -11? 5 Evaluate 4 + (-5 - (-6 - (-9 + 5))). 1 5 - (-17 - (2 + -24)) 0 What is -83 + 89 - (1 - (-4 + 2))? 3 Calculate 8 + (12 - 7) + -24. -11 Calculate 9 + (-6 - ((5 - 4) + -19) - -6). 27 Evaluate -128 + 126 - (7 - 0) - (2 - 0). -11 What is (-1 - -4) + (-24 - -12) + 9 + 12? 12 What is the value of -1 - 2 - (84 + -101 + (3 - -15))? -4 -8 - ((-300 - -303) + (1 - (2 - -5))) -5 What is the value of 9 - (2 - (-18 - (-2 + 4 + 6)))? -19 Evaluate -23 - (4 - (-34 - -39)). -22 Calculate (-55 - -8) + 27 + -5. -25 Calculate -18 - 0 - (-16 + (-5 - (6 - 20))). -11 What is the value of -15 + (-18 - -9 - -20)? -4 Calculate 90 + -93 - (-8 - -1 - 1). 5 What is the value of -19 - -4 - (-3 - 20)? 8 What is -19 - -1 - (-299 + 263)? 18 What is (-67 + 61 - (-5 - (-2 - 0))) + 4? 1 Evaluate (-16 - (-9 - (4 - (-11 - -18)))) + 0. -10 Calculate -8 - ((-18 - 4) + 35). -21 Evaluate -4 + 2 + -16 - (9 + (3 - 5)). -25 What is 6 + (-10 - (-5 - (-4 + -4)))? -7 Evaluate -13 - (0 + 5 - 8 - 3). -7 What is 9 - (3 + 2) - (-20 - (-16 - -6))? 14 Calculate (-3 - (3 + -1)) + -7 + 0 + 21. 9 -1 + (-6 - (1 + -18)) + -6 4 What is the value of (31 - 21) + (3 - 2 - 2)? 9 Evaluate (-16 - -20) + (0 - -4) + 3. 11 1 - 1 - (-31 + 68 + -21) -16 Calculate (24 - (30 - 10)) + 11. 15 Calculate 5 + -13 + 1 + (0 - 9) + 5. -11 (1 - 16) + -4 + (12 - 6) -13 What is -25 + (-58 - -23) + 31? -29 What is the value of 153 + -166 + 8 + -30? -35 What is 20 + 2 + -19 - -6? 9 (1 - 7) + -1 + 0 + 11 4 What is the
{ "pile_set_name": "DM Mathematics" }
6 Calculate the greatest common divisor of 35 and 14418. 1 What is the highest common factor of 4919772 and 32604? 1716 Calculate the greatest common factor of 1950 and 1185120. 30 Calculate the greatest common factor of 475005 and 58005. 15 Calculate the greatest common factor of 2392356 and 3066. 438 What is the greatest common divisor of 9408 and 5850012? 588 What is the highest common factor of 19969391 and 65? 13 What is the greatest common divisor of 11030266 and 377? 377 What is the greatest common factor of 1195918 and 620? 62 What is the greatest common divisor of 15450895 and 190? 95 Calculate the greatest common factor of 82616 and 350669. 449 What is the highest common factor of 8303 and 5730875? 361 Calculate the highest common divisor of 15974996 and 51724. 772 What is the greatest common divisor of 133071316 and 56? 28 Calculate the highest common divisor of 15660 and 1116480. 60 Calculate the highest common factor of 77094520 and 12640. 3160 What is the highest common divisor of 358 and 37399007? 179 Calculate the highest common factor of 1600 and 11022560. 160 What is the greatest common divisor of 1140 and 5902160? 380 Calculate the highest common divisor of 621 and 1764836. 23 What is the highest common divisor of 13380 and 44220? 60 Calculate the greatest common factor of 506160 and 464208. 912 Calculate the greatest common divisor of 12 and 300724. 4 What is the greatest common factor of 3619 and 19789? 77 What is the highest common factor of 2817154 and 2? 2 Calculate the greatest common factor of 5799822 and 12138. 714 What is the greatest common divisor of 9327812 and 52? 52 What is the highest common factor of 730 and 104384890? 730 Calculate the greatest common divisor of 143594 and 2518202. 122 What is the highest common divisor of 55 and 31030835? 55 Calculate the greatest common factor of 1723410276 and 456. 228 What is the highest common factor of 47539 and 1644? 137 Calculate the greatest common factor of 126 and 50748796. 14 Calculate the greatest common divisor of 62130 and 2207040. 570 What is the greatest common factor of 76766 and 122878? 262 What is the highest common factor of 200340 and 14040? 540 What is the highest common factor of 648 and 278680? 8 What is the greatest common divisor of 57307325 and 475? 475 What is the highest common divisor of 874016 and 6578? 286 What is the greatest common factor of 44744 and 753032? 952 Calculate the greatest common factor of 28 and 1258996760. 28 What is the highest common divisor of 3082 and 452786? 134 What is the highest common divisor of 5217 and 2710866? 141 Calculate the greatest common divisor of 336 and 59610684. 84 What is the greatest common divisor of 992602 and 65? 13 Calculate the highest common factor of 11 and 44298419. 11 Calculate the highest common factor of 29 and 186684107. 29 What is the highest common factor of 11808 and 112133088? 288 What is the greatest common factor of 1736 and 106770696? 248 Calculate the highest common factor of 28 and 21004508. 28 What is the greatest common factor of 4604 and 1838147? 1151 Calculate the greatest common factor of 899319 and 144159. 87 What is the greatest common factor of 84827059 and 31349? 667 What is the greatest common factor of 11960751 and 516? 129 Calculate the highest common divisor of 12 and 226465968. 12 What is the greatest common factor of 31077130 and 1890? 70 Calculate the greatest common factor of 90773250 and 7620. 3810 Calculate the greatest common factor of 375779365 and 8385. 2795 Calculate the greatest common factor of 561 and 10600469. 187 Calculate the highest common factor of 107475 and 21225. 75 What is the highest common factor of 170814 and 31872498? 3486 What is the highest common divisor of 394 and 95670489? 197 What is the greatest common divisor of 864224 and 170168? 1912 Calculate the highest common divisor of 7178 and 2175322. 194 What is the greatest common factor of 15054 and 534? 6 Calculate the highest common divisor of 604 and 44910873. 151 Calculate the highest common factor of 21186 and 48339. 9 Calculate the highest common factor of 21777 and 37264. 17 Calculate the highest common divisor of 6 and 43661571. 3 What is the greatest common divisor of 1156110229 and 1486? 743 Calculate the highest common divisor of 172 and 15397612. 172 What is the highest common divisor of 18611466 and 427? 61 What is the greatest common factor of 1591860 and 536640? 2580 Calculate the highest common factor of 66154 and 32209. 31 What is the highest common divisor of 4072493 and 2123? 193 What is the highest common factor of 11033967 and 19551? 1029 What is the highest common divisor of 21281032 and 5480? 1096 What is the greatest common divisor of 43871325 and 975? 75 What is the highest common factor of 347715954 and 18? 18 What is the highest common divisor of 1216 and 6262208? 64 What is the highest common divisor of 52925 and 9860? 145 Calculate the greatest common factor of 3632144 and 40552. 1096 What is the greatest common factor of 6618 and 1944? 6 What is the greatest common divisor of 6954412 and 12? 4 Calculate the highest common factor of 462 and 3713622. 66 What is the greatest common factor of 5007746 and 96? 2 What is the highest common factor of 296274533 and 835? 167 What is the greatest common factor of 35777 and 4598017? 269 Calculate the highest common factor of 43235403 and 86581. 7871 Calculate the greatest common factor of 646 and 34229279. 323 Calculate the greatest common factor of 3799710 and 5130. 270 Calculate the highest common factor of 115875 and 3147577. 103 What is the greatest common factor of 6122 and 2793676748? 6122 Calculate the highest common factor of 286011797 and 6572. 1643 What is the highest common divisor of 120989 and 1437656? 187 What is the highest common divisor of 21045 and 1707451? 1403 Calculate the greatest common factor of 29262 and 21342. 6 Calculate the greatest common factor of 1638872700 and 600. 300 Calculate the greatest common divisor of 529361025 and 225. 75 What is the greatest common divisor of 872056425 and 75? 75 What is the greatest common factor of 2675 and 2967125? 25 What is the highest common factor of 11284446 and 12? 6 Calculate the greatest common divisor of 113077866 and 83780. 8378 Calculate the greatest common factor of 297924 and 185. 37 Calculate the greatest common factor of 4262804 and 5488. 1372 What is the highest common factor of 156665158 and 442? 26 What is the greatest common factor of 2288 and 182509536? 176 Calculate the greatest common factor of 3556361 and 4209. 61 Calculate the highest common factor of 233715846 and 19. 19 What is the greatest common factor of 7597 and 104725? 71 What is the highest common divisor of 125342 and 152782? 98 What is the greatest common divisor of 840 and 579138? 42 Calculate the greatest common factor of 75 and 105793095. 15 Calculate the greatest common factor of 3653382 and 48. 6 What is the highest common divisor of 390026130 and 166? 166 Calculate the highest common factor of 2491435 and 68. 17 Calculate the highest common factor of 127551 and 27132. 51 What is the greatest common divisor of 14444 and 2126764? 92 Calculate the highest common factor of 1134 and 5122957. 7 What is the greatest common factor of 110500 and 4936375? 2125 What is the highest common factor of 304 and 532504032? 304 What is the greatest common divisor of 60 and 20629710? 30 Calculate the highest common divisor of 4320 and 353376. 864 What is the greatest common factor of 72927 and 149577? 219 What is the highest common divisor of 3262 and 2114? 14 Calculate the highest common divisor of 82005 and 341. 11 Calculate the greatest common divisor of 1330965 and 18495. 135 Calculate the highest common divisor of 33685938 and 1012. 506 Calculate the highest common divisor of 11 and 241710. 1 What is the greatest common factor of 4641695 and 515? 515 Calculate the greatest common divisor of 856 and 1221112. 8 What is the greatest common factor of 11820 and 27612? 12 What is the highest common factor of 125 and 952205? 5 What is the highest common divisor of 10522487 and 86? 43 What is the highest common divisor of 1152030276 and 18? 18 What is the highest common factor of 30567229 an
{ "pile_set_name": "DM Mathematics" }
osite? False Is 10658837414 a composite number? True Is 878317330387 prime? False Is 192697772441 a composite number? True Is 134846392753 composite? True Is 10846204751 a composite number? True Is 49558820851 composite? False Is 11922971239 a prime number? True Is 7473144403 a composite number? True Is 8037997 a prime number? False Is 5002374937 prime? False Is 1442894399 a composite number? False Is 157598387 a prime number? False Is 810002411 composite? False Is 30702669121 composite? False Is 151053623023 a prime number? True Is 17627773733 a composite number? True Is 23470429 prime? False Is 1267800899 a composite number? False Is 12597450241 composite? True Is 304519337 prime? True Is 37062425623 a prime number? False Is 14644006207 composite? True Is 5190560129 composite? False Is 14342775467 prime? True Is 106909262119 a composite number? True Is 15141544739 composite? False Is 3106860959 a composite number? True Is 39027678233 composite? False Is 4275342821 prime? True Is 63927359149 composite? False Is 597412577 a prime number? False Is 653813257 a prime number? False Is 703173053 a composite number? True Is 4054423183 a composite number? True Is 14703594007 prime? False Is 221068619 composite? False Is 1709726923 a prime number? True Is 9749968409 a prime number? False Is 12443674549 prime? True Is 5170028879 prime? True Is 171301309313 a prime number? False Is 46311829 composite? False Is 19606650379 a prime number? True Is 7644692591 a prime number? True Is 1155948085 composite? True Is 1848596569 a composite number? False Is 30785067689 composite? True Is 19277159477 a prime number? True Is 1092669971 a prime number? False Is 3864455159 a composite number? True Is 183614963 a composite number? True Is 19372305371 prime? True Is 1730448059 a composite number? False Is 8723932541 a prime number? True Is 5696927641 a composite number? False Is 1062622003 a composite number? False Is 10730392249 prime? True Is 58069242653 composite? False Is 226057781 a prime number? True Is 1684576717 a prime number? False Is 22650241154 a prime number? False Is 30912499 a prime number? False Is 65323342463 a composite number? True Is 5119904687 a composite number? True Is 61818055217 prime? True Is 25088541251 composite? True Is 1021573073 composite? False Is 690580417 composite? True Is 165288448991 a prime number? True Is 9028412231 prime? False Is 263353169 composite? True Is 7945868801 prime? False Is 75778553867 prime? True Is 884808143 prime? True Is 140685117047 a composite number? True Is 3505524595 composite? True Is 2417562607 a composite number? True Is 273242621 a composite number? False Is 39044333071 a composite number? False Is 972978271 a composite number? False Is 293655991 composite? False Is 10069562779 a prime number? False Is 801959539 composite? False Is 1177270891163 a composite number? False Is 33227251 prime? True Is 30742249 prime? True Is 928490527 prime? True Is 49702626959 composite? False Is 608047799 prime? True Is 6178062437 a composite number? True Is 3326222971 composite? False Is 21577281811 composite? False Is 3817286995 prime? False Is 3508587167 prime? True Is 2998395847 composite? True Is 569911759 a composite number? True Is 7338773371 composite? False Is 57550848151 composite? False Is 2279449697 composite? True Is 1180293706 a prime number? False Is 47687056503 composite? True Is 1293229877 prime? True Is 13303711997 prime? True Is 1160536313 a prime number? False Is 13770696481 prime? False Is 74952673793 composite? False Is 77429239 prime? True Is 21944508493 a prime number? True Is 8785545115 a prime number? False Is 3004877107 prime? True Is 1874201639 a prime number? True Is 3077467147 prime? True Is 4622565971 prime? False Is 317028743 prime? True Is 101198331538 composite? True Is 4202272957 a composite number? True Is 573486607 prime? True Is 29124777949 a prime number? False Is 20867814151 prime? False Is 147123589 a composite number? False Is 1848748169 a composite number? True Is 4252099073 a prime number? True Is 782967011 composite? True Is 13559827057 a composite number? True Is 45001315549 a composite number? False Is 3985204451 a composite number? False Is 475533073 prime? False Is 1551157409 a composite number? False Is 2393391023 a composite number? True Is 756192847 prime? False Is 439159067 a composite number? False Is 10885383326 prime? False Is 6195810853 a prime number? True Is 763693769 a composite number? False Is 17116017151 a composite number? True Is 80336083783 prime? True Is 1429837699 a composite number? False Is 87788343635 prime? False Is 37621049 composite? False Is 17722934457 a prime number? False Is 2226311617 prime? True Is 6725426111 a prime number? False Is 406670801 composite? False Is 3233745323 prime? True Is 10252182331 a prime number? True Is 167487985261 composite? True Is 5442551299 prime? True Is 5828407441 a composite number? True Is 851318077 a composite number? True Is 139710677 a composite number? False Is 189756617 a prime number? True Is 33397605673 a composite number? False Is 23087144783 prime? True Is 23491965793 a prime number? True Is 1273505939 a composite number? True Is 8667055589 prime? False Is 12044189219 a prime number? True Is 235503349 composite? False Is 695888467 composite? True Is 7768549519 a composite number? True Is 19790134993 prime? False Is 57931163 a prime number? False Is 43502315387 prime? False Is 2389794413 a prime number? True Is 7338204933 prime? False Is 16685383789 prime? False Is 74887796927 a prime number? True Is 533569873 a prime number? True Is 569529341 a composite number? True Is 7669953979 a prime number? False Is 904219639 a composite number? False Is 2391175867 a composite number? False Is 75220904849 composite? False Is 470941901 a prime number? False Is 19127816929 composite? True Is 1088906153 a composite number? False Is 4243188245 a prime number? False Is 19569391757 composite? False Is 780244683 composite? True Is 3643201 composite? False Is 504648827 a prime number? True Is 3287450251 a composite number? False Is 92454337 prime? False Is 68235221 a prime number? False Is 60379139 composite? False Is 69546563 a composite number? False Is 1331437427 a composite number? False Is 1049371033 prime? False Is 28502139481 a prime number? True Is 67634412479 a prime number? True Is 17389285627 a composite number? True Is 1039773599 a composite number? False Is 7280423011 a composite number? False Is 6195974471 composite? False Is 894981741 composite? True Is 7963976743 prime? True Is 1865200427 prime? True Is 48547353601 a composite number? False Is 25291259965 a prime number? False Is 15946549781 a composite number? False Is 3574592059 a composite number? True Is 557587061 a composite number? True Is 16043633 prime? True Is 29352947933 a composite number? True Is 23326639411 a prime number? True Is 62636988559 prime? False Is 2345071334 composite? True Is 84005279341 a composite number? False Is 364395071 composite? False Is 1093586509 a prime number? False Is 2936582809 a prime number? True Is 671415169 composite? False Is 178556579 a prime number? True Is 809688181 prime? True Is 2258640653 a prime number? True Is 4538352683 composite? True Is 10595205979 composite? False Is 223994917 a prime number? False Is 16687950169 prime? False Is 31383263455 a composite number? True Is 87571397957 prime? True Is 20218969 a composite number? False Is 304482263 composite? True Is 94865657 prime? False Is 149647441355 a composite number? True Is 230434543 prime? True Is 3113985377 composite? False Is 1914810097 prime? False Is 844043033 prime? True Is 5403903347 a composite number? False Is 7769666263 composite? False Is 16156694713 a composite number? True Is 94991363 a composite number? False Is 353035367 prime? True Is 1061509513 a prime number? True Is 4072015957 a composite number? False Is 1077725419 a composite number? True Is 158890037 prime? True Is 1860043867 prime? False Is 1834393879 a composite number? True Is 5285293309 a composite number? False Is 210282001 a prime number? True Is 12230686207 a prime number? True Is 5610923339 a composite number? True Is 4517217713 composite? True Is 1567676498 prime? Fal
{ "pile_set_name": "DM Mathematics" }
? True Is 6 a factor of 6741745? False Is 12 a factor of 487180536? True Does 31 divide 59141459? True Does 199 divide 726187394? False Does 209 divide 35607539? True Is 21 a factor of 66697350? False Does 171 divide 11303662? False Is 328 a factor of 29949608? False Is 42 a factor of 90943804? False Is 11 a factor of 53308877? False Is 52301720 a multiple of 3? False Does 150 divide 479561700? True Does 149 divide 2830351724? False Does 6 divide 3268062? True Is 13 a factor of 32007634? False Does 281 divide 24762882? False Is 36 a factor of 23266175? False Is 429959667 a multiple of 438? False Is 276065776 a multiple of 56? True Is 10176848 a multiple of 176? True Is 10353387 a multiple of 30? False Does 11 divide 429342282? False Is 12323340 a multiple of 810? True Is 41 a factor of 3221116? False Is 74182604 a multiple of 638? False Does 100 divide 13913166? False Is 686 a factor of 45022468? False Is 99566603 a multiple of 127? True Does 2975 divide 39280301? False Is 3925936144 a multiple of 419? True Is 31519924 a multiple of 144? False Does 4 divide 8311918? False Is 10 a factor of 89915496? False Is 138 a factor of 302406714? True Does 78 divide 70901064? True Is 1121 a factor of 286054467? False Is 8 a factor of 2906938394? False Is 53589426 a multiple of 66? True Is 279 a factor of 198721656? True Is 67388679 a multiple of 9? True Is 31929736 a multiple of 8? True Is 145 a factor of 11536780? True Is 44218936 a multiple of 26? False Is 11 a factor of 48820014? False Is 94 a factor of 4500695? False Does 70 divide 1892377690? True Is 93 a factor of 2148801122? False Is 41572020 a multiple of 42? True Is 21516454 a multiple of 34? False Does 1233 divide 9265275? False Does 1848 divide 74527895? False Is 25 a factor of 186743075? True Is 2802 a factor of 257042320? False Is 25 a factor of 3397481208? False Does 2759 divide 43324577? True Is 96121048 a multiple of 156? False Is 10 a factor of 42084810? True Is 3386832 a multiple of 6? True Is 1388675136 a multiple of 2963? True Does 5851 divide 48504790? True Does 95 divide 449750235? True Is 38753070 a multiple of 9? False Is 27644540 a multiple of 7? True Is 65 a factor of 12575682? False Is 324 a factor of 308832511? False Is 410905021 a multiple of 527? False Is 90444351 a multiple of 227? False Does 24 divide 198647112? True Is 35653482 a multiple of 61? False Is 421 a factor of 35549108? False Is 37 a factor of 99428620? True Is 1253942450 a multiple of 4750? False Is 19117888 a multiple of 664? True Is 178 a factor of 98070469? False Is 9823871 a multiple of 12? False Does 90 divide 16530269? False Is 30 a factor of 34650810? True Is 221025423 a multiple of 23? True Is 21 a factor of 277819171? False Is 190499347 a multiple of 37? True Is 30859290 a multiple of 1533? True Is 141217768 a multiple of 134? False Is 3147658105 a multiple of 82? False Does 60 divide 1106347260? True Is 5 a factor of 41538845? True Is 171 a factor of 507461481? True Is 465773918 a multiple of 33? False Is 28 a factor of 84193844? True Does 150 divide 3481705200? True Is 2666301188 a multiple of 7559? True Is 63 a factor of 1419708150? True Is 110753280 a multiple of 2090? True Is 15029971 a multiple of 90? False Is 10 a factor of 137518690? True Is 39 a factor of 17226729? True Is 147 a factor of 729472217? False Is 31 a factor of 3000836177? True Is 5174 a factor of 62346700? True Is 29475241 a multiple of 11? False Does 78 divide 149858087? False Is 5795 a factor of 753794613? False Is 454896150 a multiple of 150? True Does 88 divide 48261675? False Is 16 a factor of 19135280? True Is 72818789 a multiple of 77? False Does 4 divide 6680834? False Is 98213040 a multiple of 540? True Does 2868 divide 1231878839? False Does 13 divide 13601263? True Is 4248356 a multiple of 7? True Is 36 a factor of 17432515? False Is 1483 a factor of 3017958814? False Is 91 a factor of 726993391? False Is 1103112704 a multiple of 6253? False Does 203 divide 3250402134? False Is 76539834 a multiple of 42? True Does 3599 divide 197603095? True Is 95239762 a multiple of 29? False Is 15 a factor of 10498650? True Is 33197812 a multiple of 861? False Does 209 divide 29940540? False Does 15 divide 853149675? True Does 716 divide 12406467? False Does 3 divide 88807543? False Does 1036 divide 26555706? False Does 15 divide 81629220? True Is 110 a factor of 695274475? False Does 712 divide 161532864? True Is 45210096 a multiple of 253? False Does 558 divide 68081580? True Is 14891184 a multiple of 2618? True Is 126 a factor of 115727976? True Is 20 a factor of 14628260? True Is 1026629821 a multiple of 20? False Is 368679746 a multiple of 19? False Is 41033318 a multiple of 9600? False Is 183 a factor of 76461975? True Is 912789 a multiple of 531? True Does 18 divide 63206102? False Does 21 divide 119289345? True Is 19 a factor of 45683866? True Is 190730727 a multiple of 2133? True Is 8 a factor of 1320840? True Is 103350086 a multiple of 40? False Is 580199934 a multiple of 21? False Is 165 a factor of 771799380? True Is 2590525428 a multiple of 10? False Is 71 a factor of 153401664? False Does 5399 divide 260976862? True Does 1225 divide 199432450? True Is 187877576 a multiple of 719? True Is 26 a factor of 54962310? True Is 282558619 a multiple of 37? False Does 26 divide 3055559153? False Does 2 divide 89845195? False Is 72 a factor of 67356118? False Does 3 divide 56367600? True Is 1661454700 a multiple of 5068? False Is 11 a factor of 36070236? False Is 123 a factor of 236068243? False Does 435 divide 521167458? False Does 1043 divide 8854083? False Does 30 divide 1193422783? False Is 4907 a factor of 32428042? False Is 229723437 a multiple of 108? False Does 34 divide 42137492? True Is 110028240 a multiple of 2280? True Is 215282966 a multiple of 30? False Does 514 divide 32882122? True Is 24 a factor of 3259133136? True Is 36387987 a multiple of 308? False Is 13 a factor of 10580582? False Is 8 a factor of 59334176? True Is 12548455 a multiple of 841? False Is 388671864 a multiple of 12? True Is 113 a factor of 194325987? True Is 196 a factor of 880990530? False Does 12 divide 209043504? True Does 2 divide 89854862? True Is 135887325 a multiple of 749? True Does 2528 divide 49080693? False Does 30 divide 11238270? True Is 63 a factor of 85904885? False Is 437494868 a multiple of 5198? True Does 1462 divide 39541352? False Is 484139988 a multiple of 38? True Is 319286818 a multiple of 314? True Is 1491 a factor of 487055141? False Is 95 a factor of 67761600? True Is 54 a factor of 509408390? False Does 565 divide 875316080? True Is 28985974 a multiple of 13? False Is 10 a factor of 529920167? False Does 13 divide 19102095? False Is 3070980 a multiple of 495? True Is 842728550 a multiple of 253? False Is 221 a factor of 16870735? False Is 6 a factor of 3249694? False Is 418334026 a multiple of 242? True Is 6893480 a multiple of 12? False Does 268 divide 1646693027? False Is 2306 a factor of 498220790? False Is 22 a factor of 63391592? True Is 9093564 a multiple of 11? False Does 227 divide 96427226? False Does 1105 divide 40350180? True Does 139 divide 395953047? False Is 660847391 a multiple of 161? False Is 82931456 a multiple of 32? True Is 5390218537 a multiple of 11? True Does 85 divide 114663725? True Is 2603492772 a multiple of 5574? True Does 14 divide 25927810? False Does 312 divide 82056646? False Does 481 divide 527634622? False Is 960582 a multiple of 21? True Does 61 divide 38186724? False Is 719102758 a multiple of 186? False Is 1085291844 a multiple of 12? True Is 1267 a factor of 8919975? False Does 1109 divide 37626624? False Is 20 a factor of 17391535? False Does 306 divide 646025? False Is 80513214 a multiple of 738? False Is 2839 a factor of 52984257? True Is 12022799 a multiple of 83? True Does 26 divide 60246576? True Is 1685299301 a multiple of 58? False Is 2862052009 a multiple of 627? False Is 18 a factor of 197748? True Does 78 divide 91729560? True Does 26 divide 598902312? False Is 136136000 a multiple of 16? True Is 194062232 a multiple of 28? True Does 30 divide 48350580? True Does 57 divide 13244064? True Is 730380 a multiple of 20? True Is 59392134 a multiple of 118? False Is 2493 a fac
{ "pile_set_name": "DM Mathematics" }
alue? (a) 2/3 (b) k (c) q b Let f = -4.12 - -0.12. Let c = -68 + 66. What is the third smallest value in c, -5, f? c Let f = -184.9 + 185. Which is the smallest value? (a) f (b) 28 (c) 0 (d) 4 c Let m = 12 + -25/2. Let d = 0.02031 + 0.47969. What is the second biggest value in d, 4, 5, m? 4 Let i = 1135/15196 + -3/524. Which is the third biggest value? (a) i (b) 4 (c) 0.5 (d) 0.4 d Let l = -3.92 - 0.08. Let g = 67 + -59. Let y = l + g. What is the biggest value in 1/2, -3/4, y? y Let g = 24 + -23. Which is the fourth smallest value? (a) -0.4 (b) 5/2 (c) g (d) -4 b Let w be ((-36)/8 - -4)*194. What is the fourth biggest value in -2/3, w, 5, 6? w Let w = 134367/2824 - -104/353. Let t = w + -48. What is the second biggest value in -1/7, t, -3/4, 0.2? t Let o = -38 + 42. Let f be (20/8 - o)*4/3. What is the third biggest value in -2/5, f, -6? -6 Let x = -291 - -290.9. Which is the third biggest value? (a) -1 (b) x (c) -17 c Let c = 0.356 + -0.286. What is the second biggest value in 2, 2/5, -1, c? 2/5 Suppose p = -2*p + 3*q + 6, 3*p + 4*q = 34. Let i be ((-4)/p)/(3/18). Let n be 1/(-3) + 4/(-6). Which is the biggest value? (a) n (b) -1/13 (c) i b Let t = -56.1 - -60. What is the biggest value in 0.2, t, 7? 7 Let t = 0 + 2. Let p = 0.0654 - -40.8346. Let l = 41 - p. What is the third biggest value in t, -2, l? -2 Suppose 31 = -3*n + 19. Which is the fourth smallest value? (a) -0.2 (b) -1/3 (c) -0.3 (d) n a Let y = 1656 + -1656.04. Let q = -0.25 - 0.05. Which is the second smallest value? (a) q (b) -3/4 (c) 0 (d) y a Let y = 3582472/4609 - 8550/11. What is the second biggest value in 0.4, 2, y? 0.4 Let f = -0.04 + 13.24. Let y = -2.9 - -1.7. Let v = y + f. Which is the second smallest value? (a) 2 (b) v (c) -2 a Let i = 3/68 - -7/34. Let w = -21 - -21.3. What is the biggest value in w, 0.5, i? 0.5 Let q = 5.714 + -1.714. Let x = 0.14 + 0.02. Which is the fourth smallest value? (a) x (b) 2/5 (c) 2/7 (d) q d Let k = -21.35 - -0.35. Let v = -13 - k. Let x = -12 + v. Which is the second biggest value? (a) 3 (b) -0.5 (c) x b Let m = -1/10 - -27/70. Which is the second biggest value? (a) m (b) -0.08 (c) 5/6 a Let g = 308 - 314. Which is the biggest value? (a) -3/2 (b) g (c) 3/5 (d) -4 c Let r = 9.9 - 10. Let o = r - -4.1. What is the second smallest value in 1/3, 2/5, o? 2/5 Let i = -390 - -41733/107. Let v = 247/1177 - i. Let y = 0.07 - 3.07. Which is the second smallest value? (a) v (b) y (c) 4 a Suppose 5*u - 5*z = -3*z + 10, z = -3*u - 5. Which is the third biggest value? (a) u (b) -3 (c) -4 (d) -0.4 b Let o = 23 + -12. Let j = 0.014 + -10.514. Let m = j + o. What is the second smallest value in -0.1, 3, m? m Let h = 7.5 - -6.5. Which is the third biggest value? (a) 1/3 (b) -3 (c) 1/8 (d) h c Let l = 16 - 15. Let i = 21 - 22.1. Let j = i - -1.5. What is the third smallest value in j, 0.2, l? l Suppose -l = b, 2*b = -5*l + 5*b - 24. Let h be (1 - -8)*2/6. Suppose 2*n - h*n = 2*s + 7, -n - s - 8 = 0. What is the third biggest value in n, 3, l? n Let p = 267 - 255. Let s = 17 - 18. Which is the smallest value? (a) p (b) s (c) 0.3 b Let j be (10/35)/((-27)/(-21)). Let n = -0.0366 + 7.0366. What is the biggest value in 2/7, n, j, 4? n Let x = -0.28 + -40.72. Let o = 41.3 + x. What is the fourth smallest value in -0.07, o, -5, 1/6? o Let w = 687 + -1371/2. Let y be (50/8 - 1)*-4. Which is the biggest value? (a) w (b) y (c) -1 a Let s = 167 - 163. Let l(z) = -z**3 + 5*z**2 - 2*z - 9. Let j be l(s). Which is the fourth biggest value? (a) j (b) -2 (c) -4 (d) 0 c Let h = 15.1302 + -0.1302. What is the second smallest value in 0.2, -3, h? 0.2 Let k = 357 - 356.6. Which is the biggest value? (a) 82 (b) -2 (c) k a Let w = 33.2 - 36. Let n = w + 0.8. Which is the third biggest value? (a) -1 (b) 0.5 (c) n c Let k = -7 + 5. Let g be (-34)/(-8) - (4 + 0). What is the second smallest value in k, g, 2? g Let w = -164.8 + 165. Which is the smallest value? (a) 1 (b) -5 (c) w (d) 4 b Let x(i) = 4*i**2 + 31*i + 18. Let v be x(-7). Which is the second smallest value? (a) -14 (b) -0.15 (c) v c Let k be (6/16)/((-273)/(-28) + -12). Let j = 0.2 - 0.6. Which is the second smallest value? (a) k (b) 0 (c) -0.3 (d) j c Let a = -67 - -200/3. Let v = 541/18 + -92/9. Let y = -20 + v. What is the smallest value in 2/11, a, y? a Let m = 4.715 + 7.969. Let q = m + 0.016. Let s = q + -13. What is the second smallest value in s, 3, -4? s Suppose -2*t - 21 = 19. Let q = t - -11. Let y be ((-2)/(-8))/((-3)/q). What is the smallest value in y, 1, 0.4? 0.4 Let x = 0.7 - 8.7. Let v = 8.5 + x. Let w = 26 + -29. What is the third smallest value in v, w, -0.5? v Let i be 8/(2 + -4 - 0/7). What is the second biggest value in 2, 2/11, i, 105? 2 Let r = -0.79 + 0.39. What is the second biggest value in r, 4, 5, 2? 4 Let z = 1000 - 3835/4. Let f = z + -41. Let i = 3 + 0. Which is the biggest value? (a) i (b) -1 (c) f a Let x = -3.8 - -0.8. Let u = x + 3. Let p = -444 + 439. What is the smallest value in u, p, -1? p Let x = -2491/25953 - 1/633. Let u = -102/205 - x. What is the smallest value in 1/4, 5, u? u Let n = -2.971 + -0.029. Let h = 5.1 - 0.1. Which is the third biggest value? (a) n (b) h (c) -1.7 a Suppose 3*u = y + 11, -6*u + 3 = -2*u + y. Which is the second smallest value? (a) u (b) 65/11 (c) 0 a Let g(j) = -8*j + 2. Let f be g(1). Let m = f - -38/5. Which is the smallest value? (a) m (b) 5 (c) 0 c Let j = 0.13 - -0.07. Let v = j - 0.25. Which is the smallest value? (a) v (b) 0.2 (c) -4 c Let o(j) = -2*j**2 + 7*j + 27. Let h be o(6). Which is the third smallest value? (a) h (b) 2 (c) 4 (d) 35 c Let n be 1*2/((-26)/13). What is the third smallest value in n, -0.5, 21? 21 Suppose 0 = -w + 4*w + 45. Let k be (w/180)/(2/20). Which is the second smallest value? (a) k (b) 5 (c) 4 c Let v = -69 - -39. Let f = v - -36. What is the biggest value in 1, f, -4/7? f Let j be (-22)/(-15) - (-18)/90. What is the second smallest value in j, 0.5, 1, 0.1? 0.5 Let n = -4107.8 - -4108. Let f(p) = -p**3 - 2*p**2 - 2*p. Let v be f(-2). What is the smallest value in n, -1/4, v, -1? -1 Let f = -64 + 21. Let m = -41 - f. Let a = -7 - -10. What is the second biggest value in m, a, 0? m Let p = -404.6 + 405. Which is the second biggest value? (a) p (b) 27 (c) 0.07 a Let o = -129.3 + 129.4. What is the fourth smallest value in -1/2, -1, 3, o? 3 Let n be (-4)/(-15)*(-126)/(-42). What is the smallest value in n, -3/2, -0.5, 1? -3/2 Suppose 3*z - 17 = -2*l, z + 3*l + 2 = 17. Which is the third biggest value? (a) 6 (b) -5/2 (c) z (d) -12 b Let y = -0.1457 - -0.0457. What is the biggest value in -4, y, -0.08, 7? 7 Let z(c) = 8*c - 4. Let m be z(3). Let a be m/24*-3*1. Let x = 0.08 - 3.08. What is the second biggest value in 5, a, x? a Let r = -6.91 - 0.09. Let j = r - -7.5. Let o = j + 0.5. Which is the biggest value? (a) -1/3 (b) o (c) -2 b Let c = -20.4 - -19. Let u = c + 16.9. Let p = 16 - u. What is the second smallest value in 0, p, 1? p Let w = 0.06 - 5.06. Suppose -6*l = -2*l - 4. Let u(p) = -p**2 - 4*p + 3. Let o be u(l). What is the smallest value in w, o, 2? w Let x = -8 + 12. Which is the biggest value? (a) x (b) -2/25 (c) -3 (d) -1 a Let d = 5 - -7. Let l = -266 + 265.8. Suppose 2*j + z + 2*z - 7 = 0, 2*j = 3*z - 23. What is the second biggest value in d, j, l? l Let v = 19.25 + -21.25. Let j = -1 + 1. What is the third smallest value in j, v, 1.8, -0.4? j Let p = 0.111 - -0.809. Let f = p + -1.92. Which is the fourth biggest value? (a) -2 (b) 4 (c) f (d) -4 d Let r be 17/100*5 - (-3)/(-12). Which is the third smallest value? (a) r (b) 3 (c) 0 (d) -0.4 a Suppose 3*w + 2*w = 5. Let m = -0.41 + 0.11. Let y = -0.25 + -4.75. What is the third biggest value in y, w, m? y Let f = -23/13 - -181/117. Let o = -49 + 53.3. Let k = o - 4.1. Which is the third biggest value? (a) k (b) f (c) -0.1 b Let n = -307.5 - -308. Let z = 0.03 - -0.37. What is the fourth smallest value in n, 5, z, 2/11? 5 Let g = -7/4 - -5/2. Which is the smallest value? (a) -12 (b) g (c) 5 a Suppose -8*b + 16*b + 536 = 0. Let a = -67 - b. What is the fourth smallest value in a, 5, -3/7, 0.2? 5 Let q(j) = -3*j + 32
{ "pile_set_name": "DM Mathematics" }
.2 (c) -2/11 (d) 4 c Which is the closest to 0.07? (a) 1/3 (b) -5/3 (c) 77 (d) 1 a Which is the nearest to 1? (a) 2 (b) -8 (c) 5/2 (d) -4 a Which is the nearest to 1? (a) 3 (b) -0.8 (c) -6/11 c Which is the closest to -1/6? (a) -0.3 (b) 0.2 (c) -15 (d) 0.6 a Which is the nearest to -38? (a) -2/19 (b) -0.2 (c) -4/3 c Which is the nearest to 6? (a) -10 (b) -2 (c) 0.4 (d) 2/3 d What is the closest to 0 in 0.1, 2/9, 109? 0.1 Which is the nearest to 3? (a) 0.5 (b) -4 (c) 0 (d) -110 a What is the closest to 0 in 0.3, -3/5, -8/5, 4? 0.3 What is the closest to 1/6 in 0.03, -0.3, 3, -0.1? 0.03 Which is the nearest to 2/27? (a) -2/49 (b) 4/9 (c) -0.4 a Which is the closest to 0.4? (a) -78 (b) -2 (c) 0 c Which is the nearest to 0.7? (a) 3 (b) -49 (c) 0.4 (d) -3 c What is the closest to 1 in 2/127, 0.4, 0, 1? 1 What is the nearest to -2/3 in -0.06, 1, -0.7, -2? -0.7 Which is the nearest to 4? (a) -0.03 (b) 1/5 (c) 35 (d) 1/3 d What is the nearest to 0.6 in -0.4, -4, 0.2? 0.2 What is the nearest to -1 in -0.3, 5, 0, 40.9? -0.3 What is the nearest to -3 in 2/9, 2, -23? 2/9 Which is the closest to -0.1? (a) -2 (b) -5 (c) -0.29 (d) 2/9 c What is the nearest to -2/27 in 2/17, -0.02, -1/3, -0.2? -0.02 Which is the nearest to -0.2? (a) -1 (b) -2/7 (c) 7 (d) -0.07 b What is the closest to 104 in -3, -2/5, 4/5? 4/5 Which is the closest to -0.1? (a) -0.1 (b) 1/4 (c) 0.7 a Which is the closest to 1? (a) -3 (b) -0.056 (c) 0 (d) -3/2 c Which is the nearest to 24? (a) 0 (b) 5 (c) -3 (d) -3/8 b What is the nearest to 0 in 3/5, -10, 0.05, 4? 0.05 What is the closest to 1 in -1, 1/6, 0.4, 1/4? 0.4 Which is the closest to -1/3? (a) -9 (b) -3 (c) 11/4 b What is the nearest to 0.2 in -7/4, -0.6, 1/5? 1/5 Which is the closest to 1? (a) 0.4 (b) 0.16 (c) -4/5 (d) -3 a Which is the closest to 0.1? (a) -0.01 (b) -10 (c) 2/3 a What is the nearest to -2 in -4, 0.44, 2? -4 What is the closest to -41 in -1, 5, 4? -1 What is the closest to 0 in 2, 4, -5, -3? 2 What is the nearest to 3 in 0.4, -3, -6/55, 4? 4 Which is the nearest to -4? (a) -3 (b) 3 (c) 0.3 a Which is the closest to 21/2? (a) 3/2 (b) -1 (c) -2 (d) 5 d Which is the closest to 0? (a) -5 (b) -0.3 (c) 25 b What is the closest to 0 in -3/2, 7, 9? -3/2 Which is the nearest to -0.08? (a) 4 (b) 2/9 (c) -5 b Which is the nearest to -8? (a) -1/4 (b) -3 (c) -0.2 (d) -2/7 b Which is the nearest to 19? (a) 0 (b) -3/7 (c) -3/5 (d) -5/3 a Which is the closest to -13? (a) 0 (b) 5/3 (c) -1/2 c What is the nearest to 0.1 in -0.3, 5, 1, -3/5? -0.3 Which is the closest to -1/3? (a) 0.03 (b) -5 (c) -1.1 a Which is the closest to 9? (a) 2 (b) 0.4 (c) -0.5 (d) -9 a What is the nearest to 2/5 in 1/2, 2, 1, 0.05? 1/2 What is the closest to 1 in -2/65, 1, -10? 1 What is the nearest to 14 in 2, 0.3, 0.1? 2 Which is the closest to -3/8? (a) -2/9 (b) -0.3 (c) -1 (d) 5 b What is the closest to 0.1 in 3, -1.4, 1? 1 Which is the nearest to -4? (a) -2/7 (b) 0.14 (c) 4 (d) 4/5 a Which is the closest to 0? (a) -9 (b) 2 (c) -0.06 (d) 3.5 c Which is the nearest to 11? (a) 5 (b) -2 (c) -1/5 (d) -3 a Which is the nearest to -2? (a) -4/3 (b) -2/11 (c) 1/6 (d) 8 a What is the nearest to 0 in -2, 1/4, 1.7? 1/4 What is the nearest to 0.6 in -3, -2/7, -2/3? -2/7 What is the closest to -225 in -5, 5/7, 3? -5 Which is the nearest to -0.01? (a) -0.2 (b) 10 (c) -2/15 (d) -9 c What is the closest to -0.4 in 3, 4/3, -1, -4? -1 What is the closest to 2 in 0.4, 20, 2/3, -0.2? 2/3 What is the closest to -1 in -5.4, 0, 1/3, -4? 0 Which is the closest to -0.2? (a) -10 (b) -1 (c) 0.04 c Which is the nearest to 4.7? (a) -1/5 (b) 0.2 (c) -5 (d) 6/7 d What is the closest to 5 in 3/2, -2/5, -0.5, -16/7? 3/2 What is the closest to 1/3 in -2/15, -1/5, -3.7, 1? -2/15 What is the nearest to -698 in 3, 0, 0.1, -0.5? -0.5 Which is the nearest to -0.02? (a) 0.2 (b) -4/5 (c) 1 a Which is the nearest to 2? (a) -4 (b) -40 (c) 0.06 (d) -1 c Which is the closest to -3/4? (a) -9 (b) 12 (c) -1 c What is the nearest to -2/5 in 5, 2.8, 7? 2.8 Which is the nearest to -1? (a) -3 (b) 0.4 (c) -0.8 c What is the nearest to 7 in 5, 0.05, 13? 5 What is the closest to 1 in -5, -13, -0.3, -2? -0.3 What is the closest to 4 in -0.036, 2, 0, 1? 2 What is the nearest to 17/5 in 5.9, -3, 5? 5 What is the nearest to 1 in -2/13, -2, -5, -0.5? -2/13 Which is the nearest to -1? (a) -4/9 (b) 2/3 (c) -5 a Which is the nearest to -1/2? (a) 5 (b) 0.4 (c) -3/5 (d) 19 c Which is the nearest to -2? (a) 4 (b) 1/7 (c) 0.1 (d) -2 d What is the nearest to 0.6 in 7/3, -3, -1/7? -1/7 Which is the nearest to -21? (a) -1/9 (b) -0.04 (c) 7 a Which is the nearest to 0.0455? (a) -0.4 (b) 2/15 (c) -1/7 b What is the closest to -15.6 in -0.1, -4, 1? -4 Which is the closest to -0.1? (a) -1/3 (b) -1 (c) -15 a What is the closest to -0.3 in 3.4, -2, -5? -2 Which is the nearest to 1/2? (a) 49 (b) -0.01 (c) 0 (d) -1 c What is the closest to 1 in 0, 12, -0.1, -0.4? 0 Which is the nearest to -1? (a) -4/5 (b) -2/9 (c) -3 (d) 0.2 a What is the nearest to 3 in -4/9, 3, -1, -3/4? 3 What is the closest to 2/5 in -0.3, 48, 0.2? 0.2 Which is the nearest to -0.1? (a) -1/3 (b) -5 (c) -2.34 a Which is the nearest to -2? (a) -7 (b) 5 (c) 0.03 (d) -2 d Which is the closest to 1? (a) 0.3 (b) -2 (c) 2/5 (d) -0.1 c Which is the nearest to 0.03? (a) -4 (b) 3 (c) 2.3 c What is the nearest to -255 in -1/2, -11, 0.1? -11 Which is the closest to 1/4? (a) 4 (b) -3 (c) 3 c What is the nearest to 3 in -0.2, 5, 8? 5 Which is the nearest to -2? (a) -1 (b) -2 (c) 0.15 (d) -0.1 b What is the nearest to -0.1 in -3, -0.3, -5? -0.3 Which is the closest to -0.2? (a) 199 (b) 0.5 (c) -0.5 (d) 2 c Which is the closest to -3/5? (a) 3/2 (b) -1/9 (c) -0.5 (d) 3 c Which is the nearest to -2/19? (a) -18 (b) -0.5 (c) 0 c Which is the nearest to 3? (a) -0.2 (b) -0.5 (c) 2 c Which is the closest to -2? (a) -1.33 (b) -0.3 (c) 4 (d) 23 a Which is the nearest to -0.06? (a) -3 (b) 1 (c) 0.3 c What is the closest to 1 in 5, -0.39, -5, -0.4? -0.39 What is the nearest to 1 in 3, -3/8, -3.92? -3/8 Which is the closest to -43? (a) -3 (b) 0 (c) 1/4 (d) -2/3 a Which is the nearest to -1/3? (a) -0.4 (b) -32 (c) -4/5 (d) 2/5 a Which is the nearest to 0.1? (a) 21/5 (b) -1/2 (c) 1/7 (d) -0.52 c What is the nearest to 1 in -2.4, -0.3, -1, 6? -0.3 Which is the closest to 0.1? (a) 0.3 (b) 2 (c) -13 (d) -5 a Which is the nearest to 6? (a) 1 (b) -0.05 (c) -3 a What is the closest to 3/4 in 2/5, -1/4, 0.18? 2/5 Which is the closest to -2/5? (a) -0.08 (b) -2/11 (c) 6/5 (d) 31 b Which is the nearest to -6? (a) 2 (b) -5/2 (c) 0.1 (d) -3 d What is the closest to -0.2 in -1/5, 4, -120? -1/5 Which is the closest to -0.1? (a) 0.1 (b) -3/20 (c) -5 (d) 31 b What is the nearest to -4 in -4/5, -5, 1/4? -5 What is the closest to -1/2 in -0.1, -2, 0.057? -0.1 Which is the closest to 3? (a) 4 (b) -4 (c) -0.2 (d) 0 a What is the nearest to 0.25 in 5, 4/7, -3/7, -2/5? 4/7 Which is the nearest to -0.1? (a) 0 (b) -2/9 (c) -25 a Which is the closest to 1? (a) -8 (b) -2 (c) 0.21 (d) -4 c What is the closest to 0.19 in 1/3, -1/2, 0.1, -14? 0.1 Which is the nearest to -1/3? (a) -2/57 (b) 1/4 (c) -1 (d) 0.1 a Which is the closest to 17/2? (a) 1 (b) 3 (c) 1/3 (d) -2/39 b Which is the closest to -0.1? (a) -1/8 (b) -5 (c) -1 (d) -16 a Which is the closest to -2/5? (a) 0.14 (b) 1 (c) 19 a Which is the closest to -2? (a) 5/3 (b) -12 (c) 0 c Which is the closest to -0.4? (a) 3 (b) -2 (c) 0.5 (d) -0.2 d Which is the nearest to -17? (a) 2 (b) -2 (c) 2.3 b Which is the closest to 0.1? (a) 3 (b) 1.1 (c) 4 (d) -5 b What is the closest to 0 in -3/5, 0, 0.4? 0 Which is the closest to -2? (a) 2/5 (b) 4 (c) 13/3 (d) 3 a Which is the nearest to -12/11? (a) -16 (b) 3 (c) -0.2 (d) -2 c What is the nearest to 0 in 29, -4, -2/5, -1/2? -2/5 Which is the nearest to 1? (a) -2/15 (b) 4 (c) -77 (d) -1/2 a What is the nearest to -2/7 in 3, -0.035, 1? -0.035 Which is the nearest to 0? (a) -1 (b) 0 (c) -4 (d) 3/7 b Which is the closest to 9? (a)
{ "pile_set_name": "DM Mathematics" }
vide m? True Suppose -6*y + 193597 = p, -23912 = -y + 3*p + 8351. Is 10 a factor of y? False Let x(t) = -9*t**3 - 4*t**2 - t - 3. Let n(a) = 9*a - 8. Let u be n(2). Let r = -13 + u. Is 10 a factor of x(r)? False Let w = -18344 - -20970. Is w a multiple of 45? False Suppose 75*d - 49118 - 696082 = 460800. Is d a multiple of 24? True Let b = -8 + 9. Let m(k) = -5*k - b + 3 + 2*k + 10*k. Is m(10) a multiple of 12? True Let z(m) = -3*m + 5527. Is 33 a factor of z(124)? False Let m = 107 - -139. Suppose 0 = 1038*y - 1028*y - 500. Suppose -h + 0*h - m = -5*l, l = h + y. Is 49 a factor of l? True Let f = -394 - -935. Suppose 2*s - 2798 = -n - f, 0 = -2*s - 3*n + 2255. Does 24 divide s? False Suppose -27*a - 9106 = -10105 - 382941. Does 45 divide a? True Let h(m) = m**3 + 10*m**2 - 9*m - 21. Suppose 4*i - 5*f = -65, -14*f - 5 = 2*i - 11*f. Is h(i) a multiple of 18? False Let h(i) = 5*i**2 + 2*i + 3. Let f be h(-3). Suppose -55 - f = -3*s - c, 4*s - 140 = -4*c. Is 5 a factor of -5 + 4 + s + -2? False Let z be 1*(-20)/(-24) - 2/(-12). Let u = 135 + z. Suppose -5*d - 172 = -2*o, 3*d = -2*o - d + u. Is o a multiple of 19? True Let x be (-10)/(-2) + 1 - (3 + -1). Suppose x*c = -3*t - 1 - 36, -2*c - 19 = t. Is 2 a factor of 8/c*45/(-6)? True Let m(f) = 12*f**2 + f + 2. Let u be m(-2). Suppose 0 = 11*h - 3*h - u. Is (5/(-3) - -2) + 724/h a multiple of 11? True Suppose i = 3*b - 55650, -b = 2*i + 2*i - 18550. Is b a multiple of 13? False Suppose 2*p - 13 = -7, 5*p - 15 = -f. Suppose -s + 268 + 264 = f. Is s a multiple of 43? False Let n(c) = -14*c**3 - 2*c**2 - c + 6. Let h be n(-3). Suppose -21*o + 22*o = h. Is 41 a factor of o? True Suppose 10*f = -6*f + 2*f. Suppose f = 7*r + 3*r - 3880. Does 38 divide r? False Suppose -4*g - 69596 = -2*w, -161*w + 157*w + 139174 = -2*g. Is w a multiple of 148? False Let y(f) = -49 + 3*f + f - 7*f. Let l be y(-15). Is 9 a factor of -4 - (184/(-4) - l)? False Let u be 11 + -5 - 0 - 21. Is 52/(-390) + (-467)/u a multiple of 8? False Suppose 8 = -3*v + 23, 5*g - v = 10885. Suppose -2*o = 9*o - g. Does 5 divide o? False Let d(n) = 286*n**2 + 17*n + 41. Does 11 divide d(-5)? True Let k(t) = -t**2 + 4*t + t**3 - 3 + 0*t**3 - t**2. Let s be 12/(-114) + (-388)/(-76). Does 23 divide k(s)? True Let j be 3/((-18)/(-404))*-6. Let t = 453 + j. Does 2 divide t? False Let q(o) = -3*o**2 + 61*o + 21. Let z be q(18). Suppose 0 = 138*v - z*v + 14832. Is v a multiple of 16? True Let q(y) = 36*y + 120. Is q(0) even? True Suppose -11*n + 6 = -14*n, -4*t + 45298 = 3*n. Is t a multiple of 14? True Let f = -234 - 188. Let t = -53 - f. Is 41 a factor of t? True Let u be (3 - 1)*568/(-16). Let n = -66 - u. Does 16 divide (n + -4 + -4)*80/(-3)? True Let x(u) = 2761*u**2 - 7*u - 2. Does 40 divide x(-1)? False Suppose 19*d - 39444 + 6840 = 0. Suppose -z + 12*z = d. Is z a multiple of 9? False Suppose 2*x - c - 76 - 369 = 0, 0 = -3*x - 3*c + 681. Is x a multiple of 23? False Let p(f) = -6*f - 43. Let y be p(-8). Suppose y*b - 1100 = -2*m, 0 = 3*m - 6*m + 15. Let i = b + -140. Is 6 a factor of i? True Suppose 0 = -0*k - 3*k + 72. Suppose k*n + 3 = 25*n. Let s(p) = 11*p**2 - 2*p + 2. Is s(n) a multiple of 19? True Suppose 3*d = -5*n + 79029 + 30305, 0 = -4*n + 28. Is d a multiple of 300? False Let z(q) = -q**2 + 11*q - 23. Let b be z(8). Is 72/(b/(95/10 - 1)) a multiple of 12? True Suppose 0 = 8*i + 342 + 58. Is (-1954)/i + (-12)/150 a multiple of 7? False Does 23 divide 67390/5*(-11)/(-22)? True Let y(j) = 75*j + 305. Let o be y(-4). Suppose -4*t + 9*t + m = 5828, o*m + 5840 = 5*t. Is t a multiple of 53? True Let a(v) be the third derivative of -17*v**6/120 + v**5/60 + v**4/8 + 5*v**3/6 + 56*v**2. Does 33 divide a(-2)? False Suppose -22*t - 18 = -28*t. Let x(b) = b + 28*b**2 - 5 + 0*b - 2. Is x(t) a multiple of 31? True Let x = 1206 + 3301. Does 17 divide x? False Suppose 5*d - 37586 = 2*t, 0 = 8*d - 104*t + 103*t - 60142. Is 21 a factor of d? True Let t(f) = f**3 + 31*f**2 - 234*f - 24. Is t(-30) a multiple of 94? True Suppose -5*p + 3957 = 3*x, 18*p - 14*p = 2*x - 2616. Does 9 divide x? True Suppose u + 25 = 5*n, 5*n = -5*u + 4*u + 15. Let p be n - (-98 - (1 - -1)). Suppose 105*d - 128 = p*d. Is 12 a factor of d? False Is (-228 - (-3)/1)/(2/(-24)) a multiple of 75? True Let v(l) = 8*l - 2. Let z be v(-4). Let x be z/(-153) + 4/(-18). Suppose -p + 135 = 3*w - x*w, -5*p - 29 = -w. Is 11 a factor of w? True Suppose 0 = -65*k - 101063 - 17757. Let s = 3399 + k. Does 13 divide s? False Is 74 a factor of (-1554)/((-3)/(4*5/(-10) - -4))? True Let t be 63/(-18)*16/(-14). Suppose 4*j - 1243 + 155 = -4*w, 0 = -2*j + t*w + 556. Suppose j = 2*b + u, b + 49 - 172 = -4*u. Is 26 a factor of b? False Suppose -2*b - 2*b + 60 = 0. Suppose 58 = -3*o + 32*o. Does 13 divide o/(-3) + (-4 - (-580)/b)? False Let g(y) = -1536*y + 12. Is 12 a factor of g(-5)? True Let s be 1 - -1*(6 - 3). Suppose -20*b + s*u + 656 = -16*b, -3*b = 5*u - 524. Is 14 a factor of b? True Suppose 4*r - 64683 = d, -4*r + r - 4*d = -48479. Is 37 a factor of r? True Let u = -76 - -49. Let w = u - -35. Suppose -w = 2*n - 4, -3*n + 24 = s. Does 6 divide s? True Let a = 21907 + -20071. Is a a multiple of 9? True Suppose 0 = 4*h - o + 4 + 3, 3*o = -4*h - 11. Let m be -5 + (0 + -2)*(-926)/4. Does 6 divide 4/14 - (h - m/14)? False Suppose 4*d + a = -3*a + 136, 0 = 3*d - 2*a - 77. Let o(q) = -q**3 + 32*q**2 - 67*q + 68. Is o(d) a multiple of 14? False Let s = -3090 - -4373. Is s a multiple of 4? False Let t(n) = 195*n - 26. Let d be t(2). Let v = d + -168. Is v a multiple of 14? True Suppose 18*b + 8 = 20*b. Let t be 0 + -43 + (-8)/b. Does 27 divide ((-2288)/18)/(-4) + (-10)/t? False Suppose 0 = 2*f + 4*d - 986, 3*f = -2*d + 1320 + 139. Is f a multiple of 7? True Let a(r) = r**2 - 9*r - 13. Let t be a(-6). Let n = -74 + t. Suppose 4*b = 2*m - 0*m - 292, n = 3*b. Is 21 a factor of m? False Suppose -3*w = 2*j - 19, -w + 4*w - 17 = -j. Suppose 207 - 67 = d + 4*z, j*d = -4*z + 260. Is d a multiple of 10? True Is 6 a factor of 1/(-13) + (-7)/(-91) + 2739? False Let y(a) = 5*a**2 - 3*a - 12. Suppose -g - 5 = 3*m - 15, -g = m - 6. Suppose g*r = -12, -k + r + 11 - 3 = 0. Is 10 a factor of y(k)? False Let r = 741 + -600. Suppose -131*v + r*v = 4240. Is 26 a factor of v? False Suppose -i + 2*n + 675 + 1660 = 0, -6991 = -3*i - n. Suppose i = 9*x - 1125. Does 32 divide x? True Let b(f) = -9*f**3 - f**2. Let c be b(-1). Suppose -10*m + 90 = -c*m. Suppose 0*a = -3*a + m. Does 15 divide a? True Suppose 3*m = 2*o + 29700, 0*o + 49544 = 5*m + 4*o. Is 8 a factor of m? True Let h(y) = -4*y**3 - 24*y**2 - 38*y - 70. Is 25 a factor of h(-15)? True Let y = 22 - 11. Suppose -37 = -4*l + y. Suppose 17*a = l*a + 705. Is a a multiple of 18? False Let v(d) = d**3 + 24*d**2 + 11*d - 1. Let a be v(5). Suppose 11*i = -174 + a. Is i even? False Let w be 35 + -5 + (-2 - -8). Is 198/8*(240/w - -4) a multiple of 38? False Let p(g) = 54*g + 80. Let m be p(3). Let f = 277 - m. Is 14 a factor of f? False Is 7*21/(-441) - ((-100542)/9 - 1) a multiple of 12? True Let z(w) = -w**2 - 30*w - 94. Let i be 6/14 - 2992/154. Is 23 a factor of z(i)? True Suppose -4*z + 409*q - 405*q + 2672 = 0, 4*z - 2660 = q. Does 4 divide z? True Suppose 7*m - 3396 = -3*s + 4*m, -5657 = -5*s - 2*m. Suppose 5*n + 383 = t, -7*t - 3*n = -4*t - s. Is 7 a factor of t? True Let k(y) = 10*y**2 - 24*y + 201. Is k(10) a multiple of 35? False Let p(k) = 22*k + 35. Let a(s) = -30*s - 35. Let o(i) = -2*a(i) - 3*p(i). Suppose 3*c + 3*f = -36, 2*c - 2*f - f + 19 = 0. Is 7 a factor of o(c)? False Let d(o) = -o**3 - 13*o**2 + 12*o - 20. Suppose -4*w - 5*p = -20, 0*p = -4*p - 16. Let j(c) = -c**2 + 8*c + 6. Let y be j(w). Is d(y) even? True Let j(f) = 55 - 73*f + 50*f - 51. Let r be 1/(-3) + 16/(-6). Is j(r) a multiple of 11? False Let t(z) be the third derivative of -z**6/24 - z**5/30 + z**4/24 + 18*z**2 + 6. Suppose -3*o = o + 8. Is t(o) a multiple of 28? False Let q be 1/(-2)*(11 + 75). Let d(t) = 55*t + 2. Let s be d(-1). Let a = q - s. Is a a multiple of 6? False Suppose 82*t - 151*t + 1179140 = 76*t. Is t a multiple of 76? True Is 3*(-2)/3 - (-11447 + 56/2) a multiple of 19? False Suppose -3*h - h = -12. Suppose -13*t + 2*f = -14*t + 233, t = -3*f + 231. Suppose 8*b - t = -4*
{ "pile_set_name": "DM Mathematics" }
+ -10. -10 Evaluate (1 - 3) + -9 + (0 - 5) + 5. -11 9 + -4 + (1 - 16) + 17 + -10 -3 Calculate (1 - (-2 + 9) - -2) + (-18 - -18). -4 Calculate -68 + 101 + -46 + (-1 - -1 - 2). -15 What is (-19 - -21 - (-1 + 10)) + 4? -3 27 - (-11 + 25) - 10 3 -15 - (-6 - (-10 + -11 + 10)) -20 Calculate (-8 + 23 - 24) + 1 + -1. -9 -3 + (-6 + 6 + -14 - -33) 16 What is the value of 8 - (8 + 0 + -1 + 229 + -233)? 5 What is the value of 3 + 5 - (-13 - (-11 + -3))? 7 -17 + (-28 - -34) + 1 + 0 + 11 1 What is 5 - ((10 - (4 - (-6 + 6))) + 5)? -6 -4 + 4 + 1 + 2 - 15 -12 What is (3 - (2 + 9)) + 11? 3 Calculate (1 - 13) + 2 + -11 + 7. -14 What is 0 - 1 - (-5 + -8 - -1)? 11 33 - (-3 + 20 - -2) 14 Evaluate 8 - 6 - (-19 - 1) - -1 - -4. 27 (-32 - -1) + 398 + -387 -20 What is (-9 - 1) + 19 - 23? -14 What is (-23 - (11 - (3 - -17))) + 15? 1 Calculate -11 + (1 + 9 - (-19 - -9)). 9 What is 48 - 42 - (-3 + 0 + 2 + -3)? 10 37 + -7 + 24 + -31 23 Evaluate -13 + 7 - (7 + -17). 4 -83 + 128 - (4 + 6) 35 -88 + (89 - 6) - (0 - 5 - -1) -1 What is (11 - -4) + 8 + (-1 - (0 - -1))? 21 -106 - -94 - (-33 + 1 + 5) 15 Calculate 5 + -2 - (1 - (7 + -7) - -3). -1 What is -11 + 1 - ((26 - 28) + 1)? -9 1 + -11 - (-10 - (-23 - -14)) -9 Evaluate 10 + 8 - ((8 - 11) + -3). 24 What is -1 + 7 - (-14 - (-44 - -26))? 2 3 - (5 + 0 + (-23 - -9)) 12 Evaluate -7 + -44 - -19 - 1. -33 What is the value of 10 - (-15 + (-5 - -32))? -2 What is the value of 2 - (-6 - ((-4 + -1 - -10) + -10))? 3 What is the value of -2 + (2 - -3 - (16 + 1)) + -3? -17 Calculate 1 + 5 - (56 - 39). -11 What is (-3 + 12 - (-6 - 2)) + (-3 - -1)? 15 Evaluate 14 - (59 - 42 - (-3 - -8)). 2 Evaluate -6 - (-1 - 18 - (-124 - -134)). 23 Evaluate -7 + 5 + -1 + 11 - 4. 4 What is 4 - 13 - -3 - (-4 + -6 - -5)? -1 Evaluate 7 + -12 + 42 + -40 + 0 + 8. 5 Calculate -182 - -199 - (1 - -7). 9 What is -11 - ((-19 + 16 - -3) + -8)? -3 -2 + 5 - (6 + 0 - (-54 - -48)) -9 Calculate (18 - (0 - -13)) + -2. 3 Calculate 1 + 34 + (-88 - -67). 14 Evaluate 26 + -30 + -14 + 30. 12 What is the value of 6 - (3 - 9) - 5? 7 What is (-2 + -2 + 2 - (-29 - -31)) + 18? 14 Evaluate (39 - 29) + (0 - 3 - 16). -9 What is the value of (-5 - (2 + -1)) + (13 - 27)? -20 Calculate -8 + -1 + (7 + -5 - -6). -1 Evaluate (-30 - -21 - -15 - (-1 + 40)) + 5. -28 17 + (-3 - (17 - 21) - 53) -35 What is the value of 2 - (0 - -5) - 2 - (-22 + 11)? 6 Calculate -4 - -2 - (10 + 13 + -15) - -27. 17 6 + (-38 - -47 - (7 - 2)) 10 Evaluate (-19 - -7) + -13 + 5 + 5. -15 Calculate (-1 - -2) + -3 + (-14 - -6) + -12. -22 4 + -7 - 5 - 1 -9 What is -2 + 3 + -2 - ((21 - 11) + -5)? -6 What is the value of -13 + (-16 - -21) - -10? 2 Evaluate (-12 - (-11 - -9) - 15) + -5. -30 What is the value of 13 + -10 + -4 - 5 - (-2 + 1)? -5 Calculate (-1 - 0) + 1 + (2 - -8) + -18. -8 Calculate -15 + 0 + -17 + 45. 13 Evaluate -5 - (9 - (8 + -9 - -6)) - 7. -16 What is -3 - (13 - (12 + 8) - 4)? 8 What is -6 - (-13 - 14 - -12)? 9 Evaluate 5 - ((9 - 3) + 1). -2 What is (-241 - -250) + -8 + -1 + 31 + -3? 28 What is (-17 - (5 - 4) - -18) + -18? -18 26 + (22 - 16) + -6 + 1 + -4 23 Calculate ((-6 - -2) + -5 - -2) + 19. 12 -12 - -7 - ((8 - 4) + -6 - -9) -12 Calculate 16 - (2 + -3) - 8. 9 What is (6 - -8) + -4 - (4 + 4 + -1)? 3 (-2 - 2) + (-3 + -4 - 3) -14 What is the value of -8 + 26 + (0 - (3 - 0))? 15 What is 1 - -3 - (-30 + 26) - (-2 + 25)? -15 Calculate 6 + 11 + -13 + -10. -6 Calculate -44 + 3 - ((16 - (31 + -15)) + -4). -37 What is -10 + (16 - 4) + -8 + 24? 18 What is -4 - (-7 - -11 - 5) - 8? -11 Calculate 28 - (-26 - -33 - ((15 - 2) + -2)). 32 Evaluate (-12 - -20) + 0 + -3 - 5 - -6. 6 What is 28 - (8 - (-15 - -15))? 20 -26 + (-34 - -38 - -22) 0 (33 - (-17 - -36)) + 11 25 What is the value of -17 + 18 + -10 + -18? -27 -154 + 145 - (2 - (-1 - 0)) -12 What is -5 + 7 + 4 + (-3 - (6 + 4))? -7 What is the value of -16 - (1 + -2 + -4 - -11) - -7? -15 What is the value of (2 - -1) + (-224 - -229) - 19? -11 39 - (8 + 21 - 1) 11 Calculate (-4 - (-1 - (1 + -4)) - 4) + -2. -12 Calculate (-25 - -20) + (-10 - 1). -16 -6 - (-6 - (-16 - 3 - -8)) -11 27 + -19 + 0 - (-3 + 1 + 19) -9 What is (1 + -4 - 4) + (8 - (7 + -20))? 14 What is the value of 341 + -332 - (4 + 4 - (0 + -1))? 0 Evaluate 10 - (16 + -9) - 8 - (3 - 2). -6 What is (-3 - -1) + -2 + -12 + 7 + -1? -10 Evaluate (-1 + 8 - 0) + 140 + -170. -23 (-3 - -2 - -3) + (-21 - -22) + 7 10 What is the value of 3 + 24 + (396 - 397)? 26 Evaluate (-12 - -3) + 10 - (4 - 4). 1 (12 - (11 - 3) - -6) + -6 4 What is the value of 7 + 2 + -11 + -9 + 8? -3 What is (13 - (1 - -14)) + -12? -14 What is (0 - (11 - 0) - -1) + 1021 + -1025? -14 What is 6 - ((32 + -8 - 2) + -5)? -11 -6 + 1 - (-2705 - -2666) 34 8 + 3 + 1 + -179 + 152 -15 Evaluate (-9 - 1 - (-3 + -25 + 14)) + 15. 19 Evaluate -2 - -1 - (-43 - -20 - -36 - 7). -7 What is the value of -27 + -18 + 10 + 65? 30 15 - (32 + 1 + -10) -8 Calculate (4 - (3 - 0)) + (7 - -6). 14 What is the value of 6 - (12 - 10 - (-3 + -1 + -2))? -2 Evaluate -40 + -10 + 83 - 55. -22 (23 - 10 - 10) + -13 -10 51 - 130 - (-75 + 32) -36 What is 15 - (-13 - (-15 - 1))? 12 What is 10 - 0 - (41 + 5 + -3)? -33 12 - 0 - (70 + -52) -6 What is -1 - (10 + -3) - (2 - 3 - -1)? -8 Evaluate 7 + -3 + -7 + (-6 - -12). 3 Evaluate 13 + (40 - 31 - (15 + 3)). 4 Calculate 1 + -29 + 23 + -1 + 5. -1 Evaluate 1 + 4 + 8 + -21 + 32 + -13. 11 What is 19 + (-1 + -4 - 0) + (-44 - -54)? 24 Calculate (85 - 56) + (4 - 48). -15 What is the value of -19 - ((-1 - 12) + 4)? -10 Evaluate -20 + 0 + (-78 - (-128 + 62)). -32 What is -1 + -4 + (5 - 10) + 2 + -2? -10 What is 4 + (-2 - -7 - (0 + (25 - 16)))? 0 Evaluate 8 + (8 + -10 - 12). -6 Calculate 11 - (-10 - (-9 - -13 - 10)). 15 Evaluate (-31 - -43) + (-12 - -8 - -13). 21 Evaluate 215 + -243 - (-3 - 1). -24 (-72 + 81 - (0 + 12)) + -6 - 0 -9 1 - 2 - -5 - 2 - (8 + 1) -7 Calculate -2 + 2 - (-35 - (-1 + -31)). 3 Calculate 20 + 0 + (147 - 166). 1 Evaluate (2 - -2) + -20 + 6. -10 Evaluate -7 - (-32 - (5 - 15)) - -13. 28 What is the value of -13 + 2 + (14 - 18) + 0 + 7? -8 What is the value of 37 + -47 - (-4 - -1)? -7 Evaluate 6 - -4 - (-20 + 15) - 38. -23 (16 - 15) + (13 - (4 + 0)) 10 What is (-8 - (-21 - -3)) + (2 - 1) + -3? 8 What is the value of -43 - -50 - (0 + -3 + 8 + -1)? 3 What is the value of 53 + -47 + 3 - (12 - 0)? -3 Calculate 14 + 8 + (-7 - 9 - 4). 2 Calculate 6 + 9 + (10 - 51) + -1 + -7. -34 What is -2 - ((6 - 13) + -1)? 6 9 + (9 + -27 - (6 + -3)) -12 Calculate 3 + -9 - (-15 - (9 + -18)). 0 Calculate -11 - (-2 + 4 - (5 + -3 + -1)). -12 What is the value of -2 + (-2 - 0) - 11? -15 What is the value of (-3 - (-16 - (-13 - 5))) + 7? 2 What is the value of 3 + 3 + -10 - (13 - 14)? -3 What is -51 - -51 - (-9 + 1)? 8 What is the value of -1 + (0 - -1) - (13 + (-53 - -34))? 6 What is the value of (0 - -13) + -153 + 146 + 0? 6 What is 7 + -1 + 1 + -8 + (-1 - -14)? 12 Evaluate 1 - 33 - (7 - (12 + 17 + -23)). -33 -26 + (4 - (-38 - 3)) 19 2 - (-2 + 11 - -15 - (3 - 1)) -20 What is the value of -17 + (-2 + -6 - (-13 - -5))? -17 What is the value of (22 - (-5 + 10)) + (18 - 10) + -9? 16 Calculate 17 - (-12 - (10 + 0 - 20)). 19 Calculate -15 - (-21 - (-3 - (-17 - -22))). -2 Evaluate -22 - (-16 + -1) - -8. 3 -30 + 30 + 7 + 0 7 What is the value of -1 + -19 + (-308 - -280) + 0 + 20? -28 (3 - 5 - (14 + -17)) + (-2 - -1) 0 What is 2 + -21 + 9 + 21? 11 Calculate (12 - -10) + -10 - 2. 10 What is 11 + (-2 - ((1 - (1 - 2)) + -4))? 11 What is the value of (15 + -17 - -14) + 1? 13 Evaluate (2 - (9 + 3 + -19)) + -20. -11 3 - ((-3 + 4 - -2) + -3) - 4 -1 Calculate 8 + (-19 - 10 - -19) + -13. -15 Evaluate (-2 + 19 - 9) + 11. 19 What is (3 - 20) + 3 + 3 - (0 + 4)? -15 What is the value of 19 + -18 + -2 - 5? -6 Evaluate -23 + 20 + 2 - ((1 - 2) + 10). -10 What is 12 - (13 + -7) - ((0 - 0) + -4)? 10 Calculate 10 + 2 - (-182 - -177). 17 Calculate -6 + 16 - (1 + 20). -11 What is 0 + (-40 + 41 - 6)? -5 22 + -1 - (-184 + 195) - 18 -8 6 + (12 - 6 - 7) + 8 13 Calculate -22 - (-2 + -17 - -11). -14 Calculate 1 + 2 + (-3 - 7). -7 What is (-1 - -2 - -2) + 0 - (-85 - -87)? 1 Evaluate -3 + 10 + -4 - 14 - (-2 + 0). -9 (-1 - 1) + (24 - (-1 - -11)) + -8 4 (3 - 2 - 7) + 14 8 2 + -1 - 4 - (-3 - -3) -3 (1 - 1) + 0 + -16 -16 -3 - (0 + (2 - 6) + 10 + 2) -11 What is -1 - -3 - -21 - (-4 + -1 + 2)? 26 What is the val
{ "pile_set_name": "DM Mathematics" }
for o. 2 Let n(y) = y**3 + 6*y**2 - 2*y - 3. Let t be n(-6). Let g = -1 - 1. Let m be (-47)/(-9) + g/t. Solve 0*c - 4*i = -m*c - 12, 0 = c - i + 3 for c. 0 Suppose 5*k + 3*l = 4*k - 7, 5*k - 2*l = 16. Solve 2*p + 20 = -4*x, -5*p - k = -2*p - x for p. -2 Let w(q) = q**2 + q - 1. Let m be w(-2). Solve -4*r = u + 7, -4*r + m = -u + 10 for u. 1 Let w(d) = 4*d**2 + 2*d - 2. Let g be w(2). Let q = g - 15. Solve 3*s - 11 = h - q*h, 5*s = -h + 9 for s. 1 Let w be 4 - ((-10)/2 - -4). Let h = 17 - w. Let z = 4 - 1. Solve -7*m = -3*m - 4*a + 8, h = -z*m - 3*a for m. -3 Suppose 0 = -3*k + 1 + 62. Suppose 0*h = -3*h + k. Solve -7 = -v + 5*v + 3*i, 2*v + 5*i = -h for v. -1 Let z = 10 - 1. Suppose -5*p = -6 - z. Solve -s = 2*s + p, -4*s - 4 = 4*a for a. 0 Let d(o) = -2*o + 2 + 1 - 3 - 1. Let h be d(-1). Let f be 13 + (0 + 3)/h. Solve -2*w = 5*u - 14 - 4, 0 = -4*u + f for w. -1 Let j = 7 + -7. Suppose -2*x + 6*x - 80 = j. Let f = 111 + -71. Solve -4*h - 4*w = -8 + f, 4*w + x = -h for h. -4 Let v be (-4)/(2/6*-1). Suppose -a - 60 = -5*o - 4*a, 3*a = -2*o + 33. Solve -4*s + v = -3*m, -2*m - s = o - 1 for m. -4 Let p(w) = w**3 + 3*w**2 - 2*w + 3. Let i be p(-4). Let h = 9 + i. Solve 25 = -m - 4*z, m + z = h*z + 10 for m. -5 Let r(q) = q**3 - 2*q**2 + 2*q + 1. Let h be r(2). Solve 0 = z - 2*z + h, 4*a - 20 = -4*z for a. 0 Suppose 9 = 3*f - 5*d - 53, -f + 34 = 5*d. Solve -3*k + f = -b + 2*k, -4*k + 8 = 2*b for b. -4 Let k be 4/(-4) + 6/(-2). Let j be (-1 - k)/(12/16). Suppose -6 = -2*p + 12. Solve -j*f - 1 = 3*m + 7, p = -f + m for f. -5 Let i = -112 - -116. Solve i*t - 4*v + 24 = 0, 0 = -5*t + v + 3*v - 29 for t. -5 Let y(x) = -x**3 + 4*x**2 + 4. Let k(m) = -5*m - 1. Let v be k(-1). Let z be y(v). Solve z*l = 3*i - 4, -i + 16 = -3*l - 2*l for i. -4 Let d = 2 - 3. Let a(c) = -24*c**3 - 2*c - 1. Let n be a(d). Suppose 10*p - 5*p - n = 0. Solve 3 = -g, 8 = 4*m - p*m - 3*g for m. 1 Suppose d + 5*w - 38 = -2*d, 2*d - 4*w + 4 = 0. Solve 35 = -5*y + 2*s, -5*s - 5 = -d*s for y. -5 Let u be (-1 - 60/(-14)) + 48/(-168). Solve 0 = 2*g - p + 7, -4*p - 17 = -2*g + u*g for g. -5 Suppose -4*k = -3*k. Let m be (k/9)/(-1 + 0). Solve -5*a - 32 + 7 = m, 0 = 4*v + 2*a + 18 for v. -2 Suppose x = -w + 7, -x + w + 13 = 3*x. Suppose -3 = -z + x. Let i(j) = j**3 - 3*j**2 + 3*j - 4. Let t be i(3). Solve t*s = -15, 2*u - z = 2*s - s for u. 2 Let w be (-3)/3*4*-1. Solve -5*c + x + 4 = 4*x, 2*c + 4 = -w*x for c. 2 Suppose 0 = -0*s - s + 4. Suppose -128 = -4*a - s*h - 12, 2*a - 5*h = 30. Suppose -2*k - 4*q - 26 = -6, 5*k - 5*q = a. Solve -4*j + 8 = 2*b, 0 = -k*j + j for b. 4 Let i be 2/(-10) + 20/(-25). Let x(n) = 2 - 3 + 4*n**2 + 2. Let c be x(i). Solve c*a - 13 = 4*b + 5, 2 = 3*a + 2*b for a. 2 Suppose 3*o - 18 = -3*z, -5*z - 3*o = -z - 21. Solve 5*u + z*b - 8 = -0*b, -2*b - 8 = 0 for u. 4 Let k be (-21)/6 + (-9)/6. Let x(q) = q**3 + 5*q**2 + q + 8. Let o be x(k). Let j be (-2)/(-4) + 7/2. Solve -o*s - j = 5*a - 2, 3*a = -3 for s. 1 Suppose -2*r + 0*h + 3*h + 19 = 0, 5*h = -5*r + 35. Let a(f) = -f**2 + 7*f + 11. Let c be a(r). Suppose 0*k + c = k. Solve 2*g + 8 = 0, 6 = k*t - g - 1 for t. 1 Let q = 25 + -22. Solve -5*z = w - 5*w - q, -2*w = z + 5 for z. -1 Let x(k) = 20*k**2 - 7*k - 29. Let i(b) = -7*b**2 + 2*b + 10. Let n(s) = -17*i(s) - 6*x(s). Let w be n(8). Solve 2*y + 6 = -3*t - 6, 16 = -w*t - y for t. -4 Suppose -2 = -3*v + 5*p + 6, -5*v + 3*p + 8 = 0. Let m be ((-2)/v)/(2/(-4)). Solve -6 = -3*t + m*r + 7, -5*r = -t + 8 for t. 3 Let t = -7 - -10. Let k be 2/(4 + -2)*t. Suppose -k*c = -0*c. Solve 0 = -v + 1, -3*r + v + 0*v - 13 = c for r. -4 Let l(r) = -3 + r**2 + 3 - 6*r + 5 + 0*r**2. Let i be l(6). Solve -2*n + 2*p = -4*n - 14, n - i*p = 11 for n. -4 Let h(m) = m**3 - 9*m**2 + 9*m - 4. Let z be h(8). Let q be (-160)/56*(-14)/z. Solve -b - 2*n = -4, q = b + 5*n + 3 for b. 2 Suppose -11 = -5*u + 4. Solve -u*o + 21 = 3*a - 6*a, -5*a - 11 = o for a. -3 Let y(w) = w + 4. Let r(q) = 3*q - 5. Let f be r(5). Let k be y(f). Solve -b + 6 = 2*b - 3*i, 5*i - k = -3*b for b. 3 Let s(w) = w**3 + 2*w**2 + 2*w - 4. Let v be s(2). Solve 0 = -2*j - c - 3*c + v, -c + 4 = j for j. 0 Suppose -2*d + 5 = -3*d. Let f(w) = 1. Let r(h) = h - 1. Let p(k) = 6*f(k) + r(k). Let m be p(d). Solve 5*l + o - 10 + 1 = m, 4*l + 5*o = 3 for l. 2 Suppose -6*w - 18 + 42 = 0. Suppose w*y - 6*y - 4*h = -16, -4*y + 2*h = -12. Solve f - 3 = 0, -2*f + f = y*x - 11 for x. 2 Let s = -9 + 8. Let w be ((-78)/30)/(s/5). Solve -y = -3*q + w, -5 + 0 = -q + y for q. 4 Let j be ((-12)/10)/((-30)/100). Suppose -3*u = -u - j. Solve -5*c + c - u*w - 10 = 0, 5*w + 5 = 0 for c. -2 Let x = 1 - -1. Suppose o + 3*j + 9 = 0, 5*o = 3*o + 2*j + 14. Solve -25 = o*r + x*r - a, 3*r - 2*a = -15 for r. -5 Let p be 4/16 - (-2)/(-8). Suppose 0*y + 4*y = p. Solve -22 = -y*o + 2*o + 4*a, -o - 26 = 5*a for o. -1 Suppose -3*s = 2*s + 10. Let z = s + 4. Solve j + 2 = z*x - 5, -3*x + 13 = j for j. 1 Let a be (4 - 5)*(-7 - 0). Suppose -2*m = -a*m + 10. Solve 0 = 3*g - 4*u + 5, -3*u = m*g - 3 - 5 for g. 1 Let g(o) = o**2 + 4*o - 17. Let m be g(-7). Solve 3*r - 10 = m*r + 4*j, 10 = -4*r - j for r. -2 Suppose 0 = 4*l - 4*i + 8, 3 + 11 = -4*l + 2*i. Let b = -3 - l. Solve 2*d + 2*d - 3*c - 17 = 0, 0 = -b*d - 2*c - 2 for d. 2 Let h(p) = p**2 + 2. Let y be h(0). Suppose y*f = -2*t - f + 2, 2*f = -5*t + 16. Solve 3*r - 3 - 2 = 2*l, -t*l - 4 = -4*r for l. 2 Suppose 3*f - 20 = -2*f. Let d = 3 - 3. Suppose 4*m - y - 5 = d, 2*m + 2*y = f*m + 2. Solve -2*q - m = -v - v, 4*q - 3*v = -4 for q. -1 Let c = 64 + -64. Solve 3*k + o + 15 = 3*o, c = -2*k + 5*o - 10 for k. -5 Let p be (9/3)/(3/4). Suppose 0 = 3*z - p*a - 25, -4*z - 13 = -3*z + 4*a. Solve -3*w - z*x = -15, -28 = -3*w - 4*x - 10 for w. 2 Suppose q - 2*s = 0, 3*q = s - 4*s + 9. Suppose 4*a + 3*i = 25, 2*a - q*i + 1 = i. Solve -3*c - a*g = -8, -4*c + 5*g + 17 = -c for c. 4 Suppose 4*s = 2*s - 8. Let m be (-1)/s + (-1)/4. Solve m = -2*j + 6, -10 - 14 = -3*b - 4*j for b. 4 Let r = 25 - 16. Let j = r - 5. Solve 2*t = 2, -j*o = o + 4*t + 6 for o. -2 Let d be (-2)/(-3) + 52/12. Suppose p - 5 = -3*o, -o = 2*p - 0*p. Solve 0*t - o*w = -2*t + 12, 3*t - 28 = d*w for t. 1 Let k be (-22)/(-99) + 70/9 + -3. Solve -2*w + 2 = -k*h, 4*h + 6 = w - h for w. -4 Let k(g) = 3*g + 1 - 4 - g. Suppose 0 = -5*q - s + 15, 2*q - 7 = -s - 1. Let x be k(q). Solve -z + x*j - 4 = 8*j, -3*j = z + 4 for z. -4 Suppose -5*z + 3*i + 28 = 0, -2*z = -4*z - 5*i + 36. Suppose -2 = -5*x + z. Let t be ((-3)/x)/((-1)/2). Solve -d = -3*k - 2 + 18, t*k - 10 = -5*d for d. -1 Suppose b = -3*m + 2*b + 2, -2*b = -4*m. Solve 2*k - 4 = -0*i - m*i, 2*k = i + 13 for k. 5 Suppose 2*z = 7*z - 25. Solve -2 = -z*d - 12, 5*r - d = 2 for r. 0 Suppose 4*n - 16 = 0, j - 12 = -j + 5*n. Let t = j - 5. Let u = t + -8. Solve -5*z + 24 = -2*g + u*g, 4*z = -5*g + 15 for z. 5 Suppose -9*b + 11*b - 6 = 0. Solve 4*g - 3*n = g - b, -3*n + 11 = -5*g for g. -4 Suppose -3*u = -3*a - 6, -2*a - 3*u - 4 + 0 = 0. Let d be (2/3)/(a/6). Let y be d/(-3) - (-8)/6. Solve -2*k = -2*c - k - 2, -y*c - 2 = -3*k for c. -1 Let n = -2 + 4. Solve 4 = 4*x - 4*f, -21 = x - n*x + 5*f for x. -4 Suppose -1 - 2 = -3*o. Suppose -5*u = 2*h + 29, 3*h + h + 28 = -4*u. Let c be (h - -1)/1 + o. Solve -p + 2*l = 13, 3*p + p + l + 7 = c for p. -3 Let c(z) = -z**2 - 7*z - 7. Let a be c(-4). Solve 0 = 5*k - 4*f + 35, -a*k - f = f + 5 for k. -3 Suppose 3*f - r - 19 = 0, 0*r + 29 = 4*f - 5*r. Suppose 2*y = f + 4. Solve 3*q - y*q - 4 = -a, 4*a + 23 = -5*q for q. -3 Suppose 5*v = -4 + 9. Suppose 3*t - 2 = 2*t. Let u be (-1)/(v/(-5)) - t. Solve -g - 18 = 5*l, -2*l - 3 = g + u for l. -4 Let i = 64 - 62. Suppose -3*v = v. Solve 4*y - w + i*w = 3, -2*y - w + 1 = v for y. 1 Let f = 20 - 11. Let z = 13 - f. Solve -16 = -5*q + t + 12, 3*q - z*t = 27 for q. 5 Suppose 0 = -9*j + 10*j - 4. Suppose -j*p + h = 1, p - 19 = -3*p - 3*h. Solve p = -2*u + 3*a, -4*u - 5*a = -2*u + 9 for u. -2 Let y = -60 - -65. Solve 2*s = 2*i - 8, -y*s - i = -5*i + 15 for s. 1 Let p = -6 + 8. Let g(u) = -u**3 - 8*u**2 - u - 6. Let o be g(-8). Let v = 4 - -6. Solve o*x = -3*s - p, 3*s + v = -s + x for s. -2 Let x be (-10)/((2 - 36/8) + 2). Solve -2*s + x = 4*r, -3*r = -s - 4*r + 6 for s. 2 Let d(z) = -3*z**3 - 3*z**2 + 2 + 2*z + 4*z**3 - 3. Let l be d(2).
{ "pile_set_name": "DM Mathematics" }
llc when three letters picked without replacement from lccooclccllc? 3/55 Four letters picked without replacement from {c: 4, f: 6}. What is prob of sequence cfcf? 1/14 Three letters picked without replacement from kxxwakxxc. What is prob of sequence xkx? 1/21 Two letters picked without replacement from {z: 4, l: 1, m: 3, k: 1, r: 6}. What is prob of sequence mr? 3/35 Three letters picked without replacement from qttthhhqthh. Give prob of sequence qth. 4/99 Four letters picked without replacement from agagggggggggggggaggg. Give prob of sequence ggaa. 4/285 What is prob of sequence iyej when four letters picked without replacement from eiyjixjy? 1/210 What is prob of sequence qjjj when four letters picked without replacement from {q: 2, a: 1, h: 6, j: 5, k: 1}? 1/273 Four letters picked without replacement from srsrssrsrssr. Give prob of sequence rrrs. 7/198 Calculate prob of sequence loo when three letters picked without replacement from lnnnoon. 1/105 What is prob of sequence nh when two letters picked without replacement from nnnnhnnnnnhnnhhhnnn? 35/171 Two letters picked without replacement from {a: 3, d: 9, j: 6, k: 1}. What is prob of sequence dd? 4/19 Two letters picked without replacement from {r: 4, z: 1, q: 1, g: 1, h: 2}. Give prob of sequence rr. 1/6 Four letters picked without replacement from {g: 1, z: 2, m: 7, v: 7}. What is prob of sequence mvvv? 7/272 Calculate prob of sequence hih when three letters picked without replacement from {i: 3, h: 11}. 55/364 Three letters picked without replacement from iiiiiiiiii. What is prob of sequence iii? 1 What is prob of sequence rr when two letters picked without replacement from {x: 6, g: 2, r: 4}? 1/11 Calculate prob of sequence ss when two letters picked without replacement from xxssqssqqssqssfps. 9/34 Two letters picked without replacement from jovwjgwg. What is prob of sequence og? 1/28 Calculate prob of sequence ggs when three letters picked without replacement from sygg. 1/12 Two letters picked without replacement from eqceqqqqqq. What is prob of sequence ce? 1/45 Calculate prob of sequence jwij when four letters picked without replacement from jiijiixwjiq. 1/264 Calculate prob of sequence os when two letters picked without replacement from {s: 4, n: 1, f: 1, o: 2}. 1/7 Four letters picked without replacement from {w: 2, u: 10, z: 2}. What is prob of sequence zwwz? 1/6006 Two letters picked without replacement from {x: 2, z: 1, q: 2, e: 1, n: 3, r: 3}. What is prob of sequence zn? 1/44 Calculate prob of sequence wi when two letters picked without replacement from iiwwiiiwii. 7/30 Calculate prob of sequence mdsx when four letters picked without replacement from {d: 1, x: 6, m: 3, s: 6, e: 1}. 9/4760 Four letters picked without replacement from {g: 2, v: 4, j: 2}. What is prob of sequence jvvj? 1/70 Four letters picked without replacement from bmnmmnbgmw. What is prob of sequence gbwn? 1/1260 Calculate prob of sequence ye when two letters picked without replacement from {f: 1, e: 2, y: 1}. 1/6 Calculate prob of sequence onng when four letters picked without replacement from hhnghhhgohhhbhngh. 1/9520 Three letters picked without replacement from mememm. What is prob of sequence eem? 1/15 What is prob of sequence jj when two letters picked without replacement from hhjjhjjjhhjhjh? 3/13 What is prob of sequence sls when three letters picked without replacement from lllllslllsls? 9/220 What is prob of sequence hah when three letters picked without replacement from {u: 12, h: 6, a: 1}? 5/969 Calculate prob of sequence xcyy when four letters picked without replacement from {c: 1, r: 2, y: 2, h: 1, x: 1, z: 1}. 1/840 Calculate prob of sequence sn when two letters picked without replacement from {s: 1, c: 1, n: 3}. 3/20 Four letters picked without replacement from bebbbuekekyyuykbyey. What is prob of sequence buuk? 5/15504 Three letters picked without replacement from {d: 3, y: 2, t: 2, v: 2}. What is prob of sequence dyt? 1/42 Two letters picked without replacement from {z: 9, y: 2, k: 7}. What is prob of sequence zk? 7/34 What is prob of sequence effe when four letters picked without replacement from {j: 3, y: 6, e: 2, x: 3, f: 1}? 0 Three letters picked without replacement from ddooood. Give prob of sequence odd. 4/35 Calculate prob of sequence pww when three letters picked without replacement from ppwpppwpppppwppppppp. 17/1140 What is prob of sequence pkf when three letters picked without replacement from kbupfpw? 1/105 Three letters picked without replacement from bmppmbbbbbmpmpm. Give prob of sequence pmb. 4/91 Four letters picked without replacement from {n: 11, h: 1}. What is prob of sequence hnnn? 1/12 Three letters picked without replacement from uhuuucucuuhzucujuc. Give prob of sequence cjh. 1/612 Three letters picked without replacement from wwjkkkc. Give prob of sequence kjk. 1/35 Two letters picked without replacement from {v: 2, f: 1, g: 1, q: 2, c: 1, j: 2}. What is prob of sequence jg? 1/36 Two letters picked without replacement from {g: 14, l: 5}. What is prob of sequence ll? 10/171 What is prob of sequence yy when two letters picked without replacement from yyh? 1/3 Calculate prob of sequence ror when three letters picked without replacement from roroorr. 6/35 Three letters picked without replacement from tttatttaatt. What is prob of sequence att? 28/165 What is prob of sequence lltv when four letters picked without replacement from plpptplplnv? 1/1320 Two letters picked without replacement from xddkmbxrrbbdxddbdd. What is prob of sequence dx? 7/102 Calculate prob of sequence ov when two letters picked without replacement from {o: 1, e: 1, p: 1, v: 2}. 1/10 Calculate prob of sequence vzx when three letters picked without replacement from {v: 2, x: 1, z: 1}. 1/12 Three letters picked without replacement from tyowhfwh. Give prob of sequence hfw. 1/84 Calculate prob of sequence ssz when three letters picked without replacement from {y: 3, s: 2, x: 3, m: 1, z: 3, d: 1}. 1/286 Two letters picked without replacement from {b: 7, w: 4, q: 1, g: 2}. Give prob of sequence wb. 2/13 What is prob of sequence nn when two letters picked without replacement from {u: 2, n: 10}? 15/22 What is prob of sequence vv when two letters picked without replacement from ajafvzhzjvfvaha? 1/35 What is prob of sequence ga when two letters picked without replacement from {a: 1, m: 1, g: 1}? 1/6 Three letters picked without replacement from {w: 1, r: 4, d: 6, q: 1, i: 2, m: 4}. Give prob of sequence iim. 1/612 Two letters picked without replacement from qkrdktqkrtrktbq. What is prob of sequence dt? 1/70 What is prob of sequence oooo when four letters picked without replacement from {o: 5}? 1 What is prob of sequence fq when two letters picked without replacement from {q: 6, f: 7}? 7/26 Two letters picked without replacement from wwwywywww. What is prob of sequence yw? 7/36 Four letters picked without replacement from eebfffeeehaeenabbh. Give prob of sequence bnnf. 0 What is prob of sequence fx when two letters picked without replacement from {x: 2, f: 11, l: 6}? 11/171 Three letters picked without replacement from {a: 1, h: 5, q: 1, c: 7, t: 4, d: 1}. Give prob of sequence hhq. 10/2907 Four letters picked without replacement from dmmmmmmddd. What is prob of sequence mmdm? 2/21 Three letters picked without replacement from {l: 10, w: 4}. Give prob of sequence llw. 15/91 Calculate prob of sequence kk when two letters picked without replacement from kpke. 1/6 Calculate prob of sequence icee when four letters picked without replacement from iciweeterriwwr. 3/4004 Calculate prob of sequence ley when three letters picked without replacement from yluyyullzezf. 3/440 Three letters picked without replacement from {a: 1, o: 1, c: 2, k: 7, p: 4}. Give prob of sequence kpc. 4/195 What is prob of sequence ee when two letters picked without replacement from eeessee? 10/21 Four letters picked without replacement from vgpvqtvvgtg. Give prob of sequence vvqv. 1/330 Two letters picked without replacement from {f: 5, i: 5}. Give prob of sequence if. 5/18 Two letters picked without replacement from ttjttjtsttssss. Give prob of sequence js. 5/91 What is prob of sequence nh when two letters picked without replacement from a
{ "pile_set_name": "DM Mathematics" }
t s be 1*683 - n/6. Calculate the remainder when s/9 + (-3)/(-9) - -3 is divided by 41. 38 Let h(u) = 6*u**2 - 3*u + 2. Let a be ((-161)/3 - 4)*(-23 - -8). Suppose -12*b + a = -803. Calculate the remainder when b is divided by h(3). 45 Let f(n) = n**2 - 3*n + 15. Let r be f(3). Let i = 58 - r. Calculate the remainder when i is divided by 18. 7 Let v(j) = -9*j + 23. Let f(u) = u. Let k(y) = 2*f(y) + v(y). Let t be k(-9). Suppose -t = 4*m - 6*m. What is the remainder when 126 is divided by m? 40 Suppose -2*o - 8 = -4*r, 10 + 10 = -5*r - 5*o. Suppose r = 21*t - 17*t - 4. What is the remainder when 11 is divided by t? 0 Let m = 5936 + -5349. What is the remainder when m is divided by 53? 4 Suppose -2*b - 6 = 0, -9 = h + 3*b + 5. What is the remainder when 154 is divided by 5/(h + (-1080)/(-208))? 24 Let l be 1/(((-40)/75)/8). Let o be (-16 - l)/((-2)/42). Let t = o + 6. Calculate the remainder when t is divided by 5. 2 Suppose -1074*t = -1086*t + 72. What is the remainder when 13 is divided by t? 1 Let j(r) = -20*r + 27. Let d be j(-7). Suppose f - 4*i = 29, 0 = -4*f + 4*i - 5*i + d. What is the remainder when f is divided by 15? 11 Suppose -21*y + 5997 = 5199. What is the remainder when 397 is divided by y? 17 Let j be (0 + (-8)/(-3))*(-49 - -55). Suppose 14*g = 22*g - j. Calculate the remainder when (-2)/(-3) + (-20)/(-6) is divided by g. 0 Let a be 5 - -44*(-4 + 0). Let w = a - -217. Let n(d) = -3*d - 4. What is the remainder when w is divided by n(-7)? 12 Suppose 0*q + 122*q - 13756 = -59*q. Calculate the remainder when 183 is divided by q. 31 Let p(g) = -3*g**2 - 80*g - 420. Calculate the remainder when 783 is divided by p(-9). 42 Suppose 82*p - 37398 = 59*p. Calculate the remainder when p is divided by 37. 35 Let b(d) = 206*d**3 - 4*d**2 + 2*d - 1. Suppose 26*a - 28*a = -2. Calculate the remainder when b(a) is divided by 41. 39 Let m(t) be the first derivative of 33*t**2/2 + 10*t + 34. Let i(w) = -w**3 + 8*w**2 + 5*w - 1. Calculate the remainder when i(4) is divided by m(1). 40 What is the remainder when (((-113651)/464)/((-1)/(-4)))/((-1)/8) is divided by 67? 66 Let l(w) = 4*w + 46. Suppose 0 = -3*a + d - 10 - 1, -4*d + 8 = 0. Calculate the remainder when l(a) is divided by 13. 8 Suppose 10 - 3952 = 18*s. Let p = s + 359. What is the remainder when p is divided by 36? 32 Let l be ((-22)/3 - -9)*(-9)/(-5). Suppose l*n = 4*s - 0*s + 1478, 3*n - 5*s - 1477 = 0. Calculate the remainder when n is divided by 31. 29 Suppose -5*b + 757 = 4*a, -b - 5*a + 187 = 65. What is the remainder when 158 is divided by b? 1 Let y = 59 - 57. Let u(j) = j**2 + 2*j - 5. What is the remainder when u(-4) is divided by y/(2/(-9))*3/(-9)? 0 Let v(l) = -235 + 467 - 200 - 32*l + 24*l**2 + 2*l**2. What is the remainder when 69 is divided by v(1)? 17 Suppose 0*n = -7*n + 1246. Let b = n + -32. Calculate the remainder when b is divided by 50. 46 Let n be (8/(-10) - 0)/((-31)/2170). Suppose -n = -2*k - 48. Suppose -a - 46 = -3*u, -k*a = -a - 15. Calculate the remainder when u is divided by 7. 3 Suppose t - 4*s = -5*s + 771, 5*s = 4*t - 3021. Suppose 2*n + n - 177 = 0. Calculate the remainder when t is divided by n. 56 Let q = -526 - -466. Suppose -260 = -3*i + 5*z - 28, 0 = -2*z + 8. Let n = q + i. What is the remainder when 47 is divided by n? 23 Let h = -2 - -11. Suppose -y = -4 - h. Suppose -y*m + m = -204. Calculate the remainder when 33 is divided by m. 16 Let s be (6 - 5)/(4/(-28)). Let y(t) = -t**3 - 8*t**2 - 9*t - 9. Let x be y(s). Suppose -6*w + 73 = -x. Calculate the remainder when 50 is divided by w. 11 Calculate the remainder when 1220 is divided by (-3990)/(-13) + (-3 - (-40)/13). 299 Suppose 21*k + 10*k - 5263 = -830. What is the remainder when k is divided by 49? 45 Let i(j) = j**3 - 23*j**2 + 221*j + 21. Calculate the remainder when i(10) is divided by 21. 7 Let r(j) = -2*j**2 - 76*j - 29. Let u(k) = -15*k - 6. Let m(h) = -2*r(h) + 11*u(h). Calculate the remainder when m(6) is divided by (-2)/(-4)*(-48)/(-2). 10 Suppose -15*s = -s + 42. What is the remainder when (s/3)/((-4)/348) is divided by 9? 6 Let q(m) = -141*m - 3687. Suppose -5*l + 298 = -5*y + 68, -4*y - 225 = -5*l. Calculate the remainder when q(-27) is divided by l. 38 Suppose -4*f = -2*f - 122. Let q(d) be the second derivative of d**4/12 - 5*d**3 - 39*d**2 - 85*d. What is the remainder when q(-7) is divided by f? 59 What is the remainder when (-165220)/(-330)*(-6)/(-2) is divided by 84? 74 Let l(n) = -n - 1. Suppose -4*q + 3*y - 2 - 43 = 0, 20 = -2*q + 4*y. Let j = 0 - -3. Calculate the remainder when l(q) is divided by j. 2 Let y = 15 + -18. Let n(t) = -3*t**3 - 3*t**2 + 2*t. Let l be n(y). Let z = 59 - l. What is the remainder when 30 is divided by z? 8 Let x(w) be the second derivative of 5*w**4/6 + 4*w**3 + 4*w**2 + 4*w + 36. What is the remainder when 336 is divided by x(-3)? 24 Suppose 0 = 4*s + 3*u - 6121, s + 2*u - 911 = 623. What is the remainder when s is divided by 17? 15 Let p(z) = z**3 + 4*z**2 - 6*z - 3. Let j = -5 - 0. Let u be p(j). Suppose 30 = u*f + 3*c, 4*f - 4*c - 82 = c. Calculate the remainder when 67 is divided by f. 13 Let r be 72/(-40)*2/3*-5. Let i be 3 + r*-2*1/4. Suppose i = -3*v + 37 + 74. Calculate the remainder when v is divided by 13. 11 Suppose 156 = 23*w - 21*w - 2*j, w = -3*j + 66. What is the remainder when 202 is divided by w? 52 Suppose 608 = 2*u - 4*k, 8*u - 1190 = 4*u - 5*k. Let s = -271 + u. Calculate the remainder when 107 is divided by s. 20 Suppose -176*h - f - 2427 = -179*h, 5*h + 2*f - 4034 = 0. Calculate the remainder when h is divided by 55. 38 Suppose -45*l = -43*l - 8. Let s(i) = 58*i + 1. Let u be s(3). Suppose -5*h + 5*c = -u, 2*c + 137 = l*h + c. Calculate the remainder when h is divided by 7. 6 Suppose 0 = -61*s + 33*s + 15092. What is the remainder when s is divided by 111? 95 Let d = 5567 + -5392. What is the remainder when 2089 is divided by d? 164 Let q(z) = -z**3 + 7*z**2 + z + 11. Let b be q(7). Let s = 37 - b. Let u = s + -8. Calculate the remainder when 20 is divided by u. 9 Let f = 10 - -23. Let t be f/55 + (-44)/(-10). Suppose x + t = 2*x. What is the remainder when 13 is divided by x? 3 Let n(q) = 0*q - 3*q - 7*q. What is the remainder when 152 is divided by n(-4)? 32 Suppose -27 - 33 = -15*x. Suppose -x*r = -4*l + 168 - 52, -2*r = 5*l - 131. Calculate the remainder when 82 is divided by l. 1 Let j = 66 + 0. Let t = 3158 + -2901. Calculate the remainder when t is divided by j. 59 Let a(d) = 10*d**2 - 866*d + 2579. Let o = -7 + 35. Calculate the remainder when a(3) is divided by o. 15 Suppose -l + 262 = -2*t, 6*l + 5*t = 4*l + 524. Suppose l = 3*r - r. Calculate the remainder when r is divided by 36. 23 Let s(d) = 123*d**2 + 11*d + 14. Let n be s(-2). Let l = 626 - n. What is the remainder when l is divided by 29? 26 Let u(t) = 3*t**2 - 7*t - 22. Let a be u(14). Let v = a - 236. Calculate the remainder when v is divided by 59. 55 Suppose 4*h - 3484 = -4*c, -3*c + 2603 = 47*h - 46*h. What is the remainder when c is divided by 11? 8 Let g = -10404 - -12780. What is the remainder when g is divided by 789? 9 Suppose 0 = -p + 339 - 336, 162 = 3*t - 3*p. What is the remainder when 279 is divided by t? 51 Let j(n) = -14*n**2 + 37*n + 84. What is the remainder when 11190 is divided by j(4)? 6 Let a be ((-5400)/140)/((-3)/3416). Suppose 46*p + 17470 = a. What is the remainder when p is divided by 34? 31 Suppose 3*n + 60 = 7*n. Let b(h) = 22*h - 3 - 87 - 33. What is the remainder when b(11) is divided by n? 14 Suppose 5*r - 131 = -4*r + q, 5*q - 20 = 0. Calculate the remainder when 253 is divided by r. 13 Let p be (-7)/21 + (-2716)/(-12). Calculate the remainder when p*(4 + (-35)/10) is divided by 30. 23 Let m = 3444 + -3304. What is the remainder when m is divided by 145/(-15)*(-6)/2? 24 Suppose 0 = 4*k + 5*y - 2177, 0 = 4*k - 28*y + 27*y - 2195. Calculate the remainder when k is divided by 114. 92 Let d = 2493 - 2265. What is the remainder when d is divided by 34? 24 Suppose -33 = -2*n - 39, -5*v - 2*n + 409 = 0. What is the remainder when 404 is divided by v? 72 Let r = -823 - -825. Suppose 3*i + 97 = f, 2*f - 11 = i + 23. Let d = -19 - i. Calculate the remainder when d is divided by r. 1 Let w(d) = 2*d**2 - 16*d - 96. Let l be w(-10)
{ "pile_set_name": "DM Mathematics" }
(4 + 0)*(3 - 2). Suppose l = s*l. Suppose 0 = 3*k - l*k - 42. What is the remainder when 39 is divided by k? 11 Let l = -62928 - -63012. Let b = 7 - -11. Calculate the remainder when l is divided by b. 12 What is the remainder when (-40)/12*(-6)/(-4) + (230 - -24) is divided by 8? 1 Let n(q) = -q**2 - 19*q - 4. Let p(y) = 2*y**2 - 2*y - 2. Let g(a) = -17*a - 64. Let w be g(-4). What is the remainder when n(-10) is divided by p(w)? 20 Let p be (-8 - 66/(-8))*8. Suppose -p = 39*d - 1952. What is the remainder when d is divided by 18? 14 Let m = -20 + 35. Let s = 8198 - 614. Suppose -s*v + 440 = -7579*v. Calculate the remainder when v is divided by m. 13 Suppose -2*r = -5*p - 9256, 5*r + 576 = -4*p + 23650. Calculate the remainder when r is divided by 21. 19 Let j be (7 - 10 - -1) + -1 + -1. Let a(g) = g**3 + 8*g**2 + 9*g - 10. What is the remainder when a(j) is divided by 7? 4 Suppose 0 = 44*g - 2495 + 867. What is the remainder when 209 is divided by g? 24 Let q = -37 - -56. Let s = -76 - -79. What is the remainder when s - 1792/(-36) - (-6)/27 is divided by q? 15 Let u = 40 + -43. Let z(o) = 2*o + 8. Let l be z(-10). Calculate the remainder when l/u + 3/1 is divided by 4. 3 Let h(o) = 75*o**2 - 21*o + 72. Let b be h(3). Suppose 45*t - b = -99. What is the remainder when 26 is divided by t? 0 Suppose -4*h - 4*b = -12, 4*h - 18 = -b - 0*b. Suppose 2*l + 5*s - s = 26, -h*l + 2*s = -89. What is the remainder when (-676)/(-20) + (-4)/5 is divided by l? 16 Suppose 26 = 4*c + 2*s, 5*c - 2*s - 46 = -9. What is the remainder when 2216 is divided by c? 4 Suppose 7*s - 4*s - 3 = 108. Calculate the remainder when 331 is divided by s. 35 Suppose 4*r = 2*i - 32, r = 3*r - 5*i + 24. Let l(t) = 2*t**2 + 17*t + 48. Calculate the remainder when 131 is divided by l(r). 23 Let j = -326 + 185. Let h = j + 146. What is the remainder when h is divided by 1? 0 Let o(t) = t**2 - 5*t - 8. Let v be o(5). What is the remainder when 2079/18 + 2*(-2)/v is divided by (-34)/(-4)*(5 + -3)? 14 Let q(c) = -4*c**2 + 5. Let m be q(-8). Let o = m - -257. Calculate the remainder when 82 is divided by o. 4 Calculate the remainder when ((-4 + 15)*-9)/(3/(-2)) is divided by (0 - -5 - -4) + 8. 15 What is the remainder when 335 is divided by 36/(-24)*(-7 + 3)? 5 Let g = -6 - -10. Suppose h + g - 16 = 0. What is the remainder when ((-2)/(h/(-27)))/(2/28) is divided by 16? 15 Let x be (-2 + (-92)/(-16))/((-3)/(-8)). Let h(m) = 5*m - 10. Let j be h(x). Calculate the remainder when 72 is divided by (j/(-16))/(3/(-6)). 2 Let b(c) = 14*c - 51 + 19*c - 379 - 5*c - 68. Calculate the remainder when 181 is divided by b(20). 57 Calculate the remainder when 2406 is divided by ((-804)/10)/(50/(-25)*1/5). 195 Let r = 546 - 182. Suppose -5*x + r = 8*x. What is the remainder when x is divided by 13? 2 Suppose 0 = -t + 6*t + 4*f - 40, -2*t + 2*f = -34. Let c be -2 + 13/(-2)*-818. What is the remainder when 4/30 + c/75 is divided by t? 11 Let y = -3627 + 3818. What is the remainder when y is divided by 64? 63 Let s be 896/(-2) - 0/(-54). Let r = 543 + s. What is the remainder when 567 is divided by r? 92 Let l(i) = 7*i**2 - 625*i + 218. Calculate the remainder when 679 is divided by l(89). 39 Suppose 70 + 280 = 10*k. Calculate the remainder when 98 is divided by k. 28 Let k be 26/13 + 0 + 109. Suppose -174 - k = -19*q. Calculate the remainder when 102 is divided by q. 12 Let u = -1063 + 1156. Calculate the remainder when 276 is divided by u. 90 What is the remainder when 122 is divided by (-12)/(-40) + (-685)/(-50)? 10 Let u be ((-4)/(-6))/(-2)*9. Let q(c) = -10*c + 141. What is the remainder when q(8) is divided by (0 + -16)/(u/3)? 13 Let j(t) = -42*t - 1. What is the remainder when j(-4) is divided by 480/18 + (-40)/(-12) + -2? 27 Let u = 192 - 186. Suppose -106 = -u*p + 110. Calculate the remainder when 105 is divided by p. 33 Let b(y) = 287*y**2 + 17*y + 43. Calculate the remainder when b(-3) is divided by 12. 7 What is the remainder when 403 is divided by (-2)/38 + (-435528)/(-5244)? 71 Let m = 2964 - 2876. Suppose -2*w - 834 = 5*a + 2*w, 5*a = 2*w - 858. Calculate the remainder when ((-36)/8)/(-2 - a/m) is divided by 14. 10 Suppose 19*l - 1218 = 17*l - 3*b, 0 = 4*l - 4*b - 2436. What is the remainder when l is divided by 69? 57 Let h = -116 + 375. What is the remainder when h is divided by 165? 94 Let b = 6983 - 5584. What is the remainder when b is divided by 199? 6 Suppose -d = -74*f + 76*f - 286, 0 = d - 5*f - 244. Calculate the remainder when d is divided by 35. 29 Let w(m) = -m**3 + 10*m**2 - 23*m + 46. Calculate the remainder when w(5) is divided by (0 - -1)*(-87)/(-3). 27 Let d(z) = -34*z - 29*z + 1 + 60*z. Let j be d(-2). Let s = 1 + j. Calculate the remainder when 30 is divided by s. 6 Suppose 7*h = 4*h. Suppose -5*u + 2*t = 7*t - 95, -4*t + 58 = 3*u. Suppose -4*p + 58 + u = h. Calculate the remainder when 55 is divided by p. 17 Suppose 2*w + 5*n = 24, 0 = -3*n - 2 + 14. Suppose 4*v = w*z + 3*z - 374, 0 = 4*z - v - 308. Let g = -65 + z. What is the remainder when g is divided by 8? 5 Let j = 28916 - 28809. Calculate the remainder when 4171 is divided by j. 105 Suppose 2558*o = 2532*o + 520. Suppose 2*p - 3 = 5. Suppose -3*m = -p - 20. Calculate the remainder when o is divided by m. 4 Suppose 109*h - 104*h = 2*o - 49, 0 = -4*o - 5*h + 293. Let n = 31 + 97. Calculate the remainder when n is divided by o. 14 Calculate the remainder when 2/(-8) - ((-18029)/52 + (-78)/(-169)) is divided by 143. 60 Suppose 1116 = -44*w + 48*w. Let v = w - 264. What is the remainder when v is divided by 9? 6 Let f be (11 - (-925)/(-85)) + (-236)/(-17). Suppose -6*x = -4*x - f. Calculate the remainder when 81 is divided by x. 4 Let d be (0 - 1) + 12/(-4). What is the remainder when 32 is divided by (d + 7 + -4)*17/(-1)? 15 What is the remainder when 1 + 373 - (306/357)/((-8)/28) is divided by 169? 39 Suppose 4*u = -5*z + 1661, 147*z - 148*z + 321 = -2*u. What is the remainder when z is divided by 65? 4 Let t = -87 + 98. Suppose 23 = t*u - 21. Suppose -u*c - 6 - 10 = 0, -5*m - 4*c = -229. What is the remainder when 194 is divided by m? 47 Let f(w) = 9*w + 742. Calculate the remainder when f(-64) is divided by 125. 41 Let h(q) = -q**2 - 21*q + 183. Let y(j) = j**2 - 12*j + 6. Let u be y(8). Calculate the remainder when 147 is divided by h(u). 41 What is the remainder when 45/30*-14 + 1478 is divided by 726? 5 Suppose -9*j = -11*j - 106. Let x = j - -159. Calculate the remainder when x is divided by 55. 51 Suppose 0 = -3*i - 10*i + 4966. Let l = i + -378. Calculate the remainder when l is divided by 2. 0 Suppose 17*n + 18 = 20*n. Suppose 3*h = -n*h - 72. Let g = h - -26. What is the remainder when 70 is divided by g? 16 Let s be 2/(2485/415 - 6). Let f = s - -239. Calculate the remainder when f is divided by 29. 15 Suppose -o + 2*c + 33 = -245, 0 = -3*o - c + 820. Calculate the remainder when o is divided by (-10 - -11)/((-1)/(-56)). 50 Let d(j) = -5*j + 173. Let x be d(-8). Let m = x + -175. What is the remainder when m is divided by 21? 17 Let n(h) = 2*h**3 + 10*h**2 - 3*h - 14. Suppose -5*g + 50 = 5*g. What is the remainder when g is divided by n(-5)? 0 Suppose -14*d = -15 - 41. Let m(i) = i + 2. Let k be m(-6). Let o = 31 + k. What is the remainder when o is divided by d? 3 Suppose -14 = -4*n - n + u, n - 4*u = 18. Let j be (-3 + 4 + 31)/n. Suppose j = -c + 97. Calculate the remainder when c is divided by 21. 18 Let p(a) = -38462*a + 2. Let s be p(-1). Suppose -21*x + s = -17*x. Calculate the remainder when (0 - (-4)/18) + x/144 is divided by 35. 32 Let s = -33 - -65. Suppose t - 6*t = -r - 17, -5*r = 4*t - 2. Suppose 7 + s = t*v. What is the remainder when 44 is divided by v? 5 Let h = -4 + 18. Let p = h + -71. Let d = p + 145. Calculate the remainder when d is divided by 45. 43 Suppose 0 = 26*m - 174*m + 888. Suppose 22 = 4*l - 66. Calculate the remainder when l is divided by m. 4 Suppose 16*f - 13*f - 9 = 0. Suppose -5*a = -3*g + 141, 0 = -f*g - 2*a - 2*a + 168. Suppose 0 = -2*j + 1 + 27. Calculate the remainder when g is divided by j. 10 Let o(n) = -32*n + 12*n + 19*n + 3. Let q be o(-9). What is the remainder when 78 is divided by (-4 + q)/4 - -14? 14 Let b be (1385/10)/(1 + (-12)/8). Let n = -82 - b.
{ "pile_set_name": "DM Mathematics" }
)? 7 Let z be (5 + -2)*(-8)/12. Let m(y) = -912*y**2 - 3*y. Let c be m(z). What is the units digit of c/(-42) - 4/(-14)? 7 Let o = -244 + 246. Suppose -8*i + 7*i = -2*y + 2396, 2392 = o*y - 2*i. What is the tens digit of y? 0 Let y be (4/12)/(15/18 + -1). Let o(s) = s**2 + 2*s + 2. Let n be o(y). Suppose 5*z + n*z - 301 = 0. What is the tens digit of z? 4 Suppose 48657 - 31122 = 5*z. What is the thousands digit of z? 3 What is the tens digit of ((-5)/(-10))/(-10 + 173442/17344)? 3 Let x(a) = 26*a - 23. Let s(z) = 28*z - 23. Let p(m) = 5*s(m) - 6*x(m). What is the tens digit of p(-14)? 4 Let s(t) = -t**3 - 13*t**2 - 23*t - 16. Let d be s(-11). Let i be 4 - d/(10/(-16)). What is the hundreds digit of (44/12 + i)*-12 - -157? 1 Suppose 4*d - 68*k = -63*k + 127383, 2*d - 63688 = 2*k. What is the ten thousands digit of d? 3 Let v = 29622 + -18699. What is the thousands digit of v? 0 Let r = -59753 + 88131. What is the ten thousands digit of r? 2 Suppose -7*o - 12300 = -15*o + 43940. What is the units digit of o? 0 Suppose 11*x - 47 + 3 = 0. Suppose 7*f + 289 = 9*f - h, 5*h = x*f - 569. What is the hundreds digit of f? 1 Suppose -107582 + 19650 - 90100 = -8*v. What is the tens digit of v? 5 Let s = -13051 - -29431. What is the ten thousands digit of s? 1 Let q(o) = -1245*o + 8375. What is the thousands digit of q(-12)? 3 Let c(o) = -13*o - 8. Let r be c(-1). Suppose 10*t - r*t = 1205. What is the units digit of t? 1 Let k be (-324)/16*32/(-12). Let y = k + 21. Let i = 187 - y. What is the tens digit of i? 1 Let q be (((-50)/(-15))/(-2))/((-3)/45). Suppose -2*y = 5*j + q, 14 + 1 = -3*j - 3*y. What is the units digit of j - (6*-37)/2? 6 Suppose f + 2*g + 64 = 0, 2*f + 5*g + 98 + 34 = 0. Let u = f - -296. What is the units digit of u? 0 Let t = 83222 - 58039. What is the thousands digit of t? 5 Let c = 562 + -543. Suppose -10*u + 29551 = c*u. What is the units digit of u? 9 Let l(f) = f**2 - 17. Let i be (-918)/(-90) + 6*(-4)/(-30). Suppose y + 4*o = -i, 0 = -y + 2*o - 5. What is the tens digit of l(y)? 3 Let h(v) = v**3 - 54*v**2 + 82*v + 274. What is the tens digit of h(53)? 1 Let l(b) = 4*b**2 - 2*b - 1. Suppose 3*a = -a - 4. Let u be l(a). What is the units digit of (-12 + 13)*u*5? 5 Suppose -265*z + 260*z = -690. Let n = -29 + z. What is the hundreds digit of n? 1 Let q be (18/27)/((-2)/18). What is the units digit of 259 - 42/(q + -1)? 5 Let o(u) = -9 - 7 - 2 + 7*u - 9. Let j be o(6). What is the tens digit of ((-10)/j)/((-2)/63)? 2 What is the hundreds digit of (28822/(-2))/((-27 + 19)/8)? 4 Suppose -50*l + 35585 = -131165. What is the tens digit of l? 3 Suppose -17*m + 4*x - 12868 = -20*m, 4*x + 4300 = m. What is the tens digit of m? 9 Let w be (-10)/(-2)*(-9 + 8). Let r be w + (-2)/((-2)/(-67)). Let p = 130 + r. What is the tens digit of p? 5 Suppose 7*m + 28*m = -31*m + 1176384. What is the hundreds digit of m? 8 Suppose 9*q = 6*q + 2151. Suppose -q = -9*w + 813. What is the hundreds digit of w? 1 What is the ten thousands digit of 1339780/80 - 21/(-28)? 1 Suppose 10*y = 12*y - 5*t - 273, -4*y + 5*t + 561 = 0. Let v = 403 - y. What is the hundreds digit of v? 2 Let f = -64 - -88. Suppose 0 = -25*q + f*q - 43. Let i = q + 66. What is the tens digit of i? 2 Let h(k) = -4 - 2*k**2 + 0*k + 1 - 3*k**3 - 3*k + 2*k**3. Let l be h(-2). Suppose 5*v + 2*p = 635 + 39, -l*v - 3*p = -399. What is the hundreds digit of v? 1 Let n(d) = 2*d**2 - 19*d - 30. Let j be n(11). Suppose 0 = 4*p + j*f - 795, -2*p + 6*p - 796 = -4*f. What is the units digit of p? 8 Suppose 0 = 29*s - 96200 - 50830. What is the hundreds digit of s? 0 Let n be 1 - (-3)/6*(8 + 0). Suppose -1373 = -3*x + 4*t, n*x + 5*t = 261 + 2039. Let o = -224 + x. What is the hundreds digit of o? 2 Suppose 23*u + 409 = 22*u. Let q = -161 - u. Suppose -j = 2*f - 122, 4*j = -4*f - 0*j + q. What is the units digit of f? 0 Let v(a) = 599*a**2 - 29*a + 75. What is the tens digit of v(7)? 2 Let q = 12844 + -9772. What is the tens digit of q? 7 Suppose -3*o + 3*p = 0, -3*o + 209*p - 204*p = 0. What is the thousands digit of 1570 + -2 - (-6 + o + 9)? 1 Let u = -111 - -96. What is the tens digit of (-5 - (-2931)/u)/(6/(-20))? 6 Let p = 18561 + -5636. What is the tens digit of p? 2 Let s = 208837 + -147231. What is the tens digit of s? 0 Let o = 90520 + -62072. What is the tens digit of o? 4 Suppose 0*k = 4*k - 9260. Let j = 3367 - k. What is the hundreds digit of j? 0 Let f(m) = 104*m**2 + 102*m**2 - 306*m**2 + 22 + 102*m**2 + m. Suppose -4*n = 33 - 13. What is the units digit of f(n)? 7 Let m = 93377 - 66457. What is the units digit of m? 0 Let i(o) = -3*o + 7. Let q be i(-2). Suppose -q + 5 = 2*j. What is the tens digit of (-1)/j + (-1375)/(-20)? 6 Suppose j - 388 = 2*y, -145 - 49 = y + 5*j. Let q = y + 408. What is the tens digit of q? 1 Suppose -4*b = -u - 31, 10*u - 2*b = 11*u + 7. Let d(k) = -k**2 + 9*k + 13. Let l(w) = -w**2 + 1. Let a(m) = d(m) - 2*l(m). What is the tens digit of a(u)? 0 What is the hundreds digit of (44/(-10))/(24 - 2221260/92550)? 7 Let y = -3341 - -3343. Suppose 0*f - 3*f = -33. Suppose y + f = w. What is the tens digit of w? 1 Let r(q) = -4*q**2 - 6*q - 76. Let o(k) = -11*k**2 - 17*k - 226. Let b(z) = -3*o(z) + 8*r(z). What is the hundreds digit of b(-19)? 3 Let f(m) = -m**3 + 17*m**2 - 9*m + 6. Let g be f(10). Suppose -3*y = -7*y + g. Suppose 4*k + 5*j = y, 4*j - 8 + 36 = k. What is the tens digit of k? 3 Suppose -z - 222 = z. Let r(y) = 49*y - 470. Let x be r(13). Let t = x + z. What is the units digit of t? 6 Let r be 6/9 - ((-1320)/(-9) - -3). Let a = r + 182. What is the tens digit of a? 3 Let o(p) = -p**2 + 58*p - 70. Suppose -5*d + 4*u + 144 = 6*u, -2*u + 32 = d. What is the units digit of o(d)? 0 Let a(y) = 28*y**2 + 8*y - 2. Let t be a(7). Let r = t - 1007. What is the units digit of r? 9 Let s be (-16)/(-72) + (-3)/((-108)/136). Suppose 5 - 11 = 3*g, -s*z + 3*g + 6894 = 0. What is the tens digit of z? 2 Suppose 2*i - 7*i - 20 = 0. Let c be 769*(-1)/(2 + 1 + i). Suppose -c = -5*k - 54. What is the tens digit of k? 4 Let k = 70393 - 39598. What is the units digit of k? 5 Suppose -2*z = 4*s - 9544, -3*s = 5*z - 22130 - 1723. What is the thousands digit of z? 4 Let b(c) = -58*c - 48. Let o be (-296)/56 - 2/(-7). What is the tens digit of b(o)? 4 Suppose 8*i + 116 = -252. Let y = 51 + i. What is the hundreds digit of (268/y)/(138/(-30) - -5)? 1 What is the hundreds digit of 10054209/330 + -5 - (-6)/(-20)? 4 Let n = -1429 - -7778. What is the tens digit of n? 4 Let f(l) = 7*l**3 + 22*l**2 - 45*l - 150. What is the tens digit of f(14)? 4 Let s(k) = -6*k**3 - 31*k**2 + k - 610. What is the units digit of s(-16)? 4 Suppose -421*o + 841*o = 411*o + 133281. What is the thousands digit of o? 4 Let a(w) = -25*w - 2. Let s be a(2). Let v = s - -49. What is the hundreds digit of (71 - v)*3/2? 1 Let k(z) = 18*z - 141. Let u be k(8). Suppose 0 = 2*d - 3*l - 453, 229 = d - u*l - l. What is the tens digit of d? 2 Let y(v) = v**2 + 9*v - 4. Let d be y(-9). Let s(l) = l**2 - 4*l - 4. Let f be s(d). What is the units digit of f/(-7) + (-1 - -52)? 7 Let y(r) = -17 - r**3 + 2891*r**2 - 2895*r**2 - 19*r - 3*r. What is the hundreds digit of y(-7)? 2 Suppose 78*a - 83*a + 58444 = 3*p, 5*a - 19478 = -p. What is the units digit of p? 3 Suppose -10478 = -5*c - 2373. What is the units digit of c? 1 Let x = 10972 + -1158. What is the tens digit of x? 1 Let w(n) = 287*n**2 + 98*n - 484. What is the ten thousands digit of w(6)? 1 Let i(v) be the first derivative of -v**4/4 - 2*v**3/3 + 5*v**2 - 14*v + 9. Let n be i(4). What is the units digit of 692/10 - (-14)/n? 9 What is the thousands digit of (455/(-280))/(-13) - (1 + 128734/(-16))? 8 Suppose 0 = 4*l - 0*k - k - 16, 2*k = -3*l + 1. Suppose -l*c + 3*x = -234, -5*x = -2*c + 156 - 0. What is the tens digit of c? 7 Suppose 6*q - 31*q + 2150 = 0. Suppose -4*f = -q - 186. What is the tens digit of f? 6 What is the thousands digit of (0 - -132306)*4/8? 6 Let c(s) = -33*s**3 - s**2 - 11*s + 12. Let w be c(5). What is the tens digit of (w/3)/(-7) + 2/6? 0 Suppose 10*y + 717 = -2403. Let w = y + 839. What is the tens digit of w? 2 Suppose -4*c + 0*c - 4 = 0, 0 = 3*g - c + 2. What is the units digit of g - 256/(-4 - -2)? 7 Let f(p) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 196*v**2 + 201*v**2 + 196*v**2 + 197*v**2 + 205*v**2 - 953*v**2. 42*v**2 Collect the terms in -25 - 29 - 32 - 27 + 10*n + 121. 10*n + 8 Collect the terms in -22 - 85393*j - 85468*j + 170858*j. -3*j - 22 Collect the terms in -361*j**3 - 2886*j**3 - 7595*j**3 - 3242*j**3. -14084*j**3 Collect the terms in 71492 + 112*t - 55*t - 42*t - 71492. 15*t Collect the terms in 72*j - 19*j - 15*j - 24*j - 103*j**2 - 14*j. -103*j**2 Collect the terms in -23407 - 466*y**2 + 70223 - 23408 - 23408. -466*y**2 Collect the terms in 8*g**2 - 8076*g - 145*g**2 - 5*g**2 - 8079*g + 16155*g. -142*g**2 Collect the terms in -22798*c**3 + 1 - 28201*c**3 - 17331*c**3. -68330*c**3 + 1 Collect the terms in 273 - 519 + 272 + z - 308 + 265. z - 17 Collect the terms in -169*y**3 - 4184 + 4184 + 150*y**3. -19*y**3 Collect the terms in 7710247 - 1542057 - 1542053 - o**2 - 1542053 - 1542037 - 1542047. -o**2 Collect the terms in -1180*n + 3680*n + 3695*n - 298 - 317*n. 5878*n - 298 Collect the terms in -246*n - 226*n - 476*n + 959*n. 11*n Collect the terms in -12 + 18 - 252*n - 315*n + 197*n. -370*n + 6 Collect the terms in -1109*y**3 - 879*y**3 - 3*y + 7*y + 0*y - 4*y. -1988*y**3 Collect the terms in 1019*g**3 - 3013*g**3 + 1020*g**3 + 1001*g**3. 27*g**3 Collect the terms in 449946*v**2 - 3 + 1 - 449942*v**2 + 3. 4*v**2 + 1 Collect the terms in 4935 - 101976*g**2 - 4935. -101976*g**2 Collect the terms in -3393*m - 18791*m - 14443*m. -36627*m Collect the terms in 9221 - 4*h**3 - 4480 - 22*h + 6*h**3 + 2*h - 4741. 2*h**3 - 20*h Collect the terms in -9*s + 85*s**2 + 560*s**2 - 54*s**2. 591*s**2 - 9*s Collect the terms in 4124 - 3*m + 92 + 7*m. 4*m + 4216 Collect the terms in -1295*o**3 - 98*o - 2*o**2 + 14*o + 1298*o**3. 3*o**3 - 2*o**2 - 84*o Collect the terms in -n**3 + 0*n**3 - 119718*n + 118298*n. -n**3 - 1420*n Collect the terms in 7*l - 56*l**3 + 3*l**2 - 7*l - 6*l**3 + 0*l + 9*l**3. -53*l**3 + 3*l**2 Collect the terms in 48*b + 25 - 36*b - 14 - 12 + 15*b + 0*b. 27*b - 1 Collect the terms in 2845487 - 1624*d**2 + 1625*d**2 - 2845468. d**2 + 19 Collect the terms in -18*q**3 + 2*q**3 - 9 - 7*q**3 + 149*q - 150*q. -23*q**3 - q - 9 Collect the terms in 222*u - 8926837 - 40*u + 8926837. 182*u Collect the terms in -14995*w**2 - 14897*w**2 + 29904*w**2. 12*w**2 Collect the terms in -1667 - 3501 - 2957 - 8*i + 2050. -8*i - 6075 Collect the terms in -2 + 3500253774765*i**2 + 2 - 3500253774780*i**2. -15*i**2 Collect the terms in 23916*i - 6018*i - 5857*i - 6022*i - 6008*i. 11*i Collect the terms in t + 7805 - 15713 + 3*t + 7908 - t - 6*t. -3*t Collect the terms in -437*r - 311*r - 228*r + 794*r. -182*r Collect the terms in -239208 - 25204*s**3 + 239208. -25204*s**3 Collect the terms in 10698*x + 2*x**2 - 5120*x - 5578*x. 2*x**2 Collect the terms in -347933*k**3 - 439585*k**3 + 121183*k**3. -666335*k**3 Collect the terms in -4620*v + 2327*v + 2331*v - 38*v - 2*v**2. -2*v**2 Collect the terms in 3751*z - 8192*z + 4496*z. 55*z Collect the terms in -2775*x**2 + 9441*x**2 + 9557*x**2. 16223*x**2 Collect the terms in 4*l + 520*l**2 + 3*l + 30*l - 539*l**2 - 36*l. -19*l**2 + l Collect the terms in -9*v + 24*v**2 + 2 - 42*v + 2*v + 150*v. 24*v**2 + 101*v + 2 Collect the terms in -33 - 2802*v**2 + 33 + 3860*v**2. 1058*v**2 Collect the terms in -856*m - 7*m**2 + 859*m + m**2 - 1917 - 4*m**2. -10*m**2 + 3*m - 1917 Collect the terms in 973143*d**2 - 6*d + 6*d - 973025*d**2. 118*d**2 Collect the terms in 36 + o + 2*o**3 + 87 - 670. 2*o**3 + o - 547 Collect the terms in 553562247084 + 45*q**3 - 553562247084. 45*q**3 Collect the terms in -140*b + 819*b + 715*b + 429*b + 362*b. 2185*b Collect the terms in -2563*l**3 + 1 + 10 - l + 6 - 20. -2563*l**3 - l - 3 Collect the terms in 12 - 8 - 6 + 36880*j + 2. 36880*j Collect the terms in 2*i + 258 - 13*i - i - 119 - 193. -12*i - 54 Collect the terms in -42287*g + 83366*g - 41076*g. 3*g Collect the terms in -307 + 105 + 98 + 39758*v + 104. 39758*v Collect the terms in 3992*a**3 - 10950*a + 10950*a. 3992*a**3 Collect the terms in 129*r**2 - 31*r**2 - r**3 - 158*r**2 - 2*r - 139*r**2 - 136*r**2. -r**3 - 335*r**2 - 2*r Collect the terms in 19*o**3 + 88*o**2 - 57*o**3 - 170*o**2 + 82*o**2. -38*o**3 Collect the terms in 37149*g**3 + 37136*g**3 - 111476*g**3 + 37081*g**3. -110*g**3 Collect the terms in 1801818*r + 52*r**2 + 163*r**2 - 1801818*r. 215*r**2 Collect the terms in 1800 + 2809 - 6408 + 2*v + 1799. 2*v Collect the terms in 69353*j + 135928*j + 235079*j + 136359*j - 3*j**3. -3*j**3 + 576719*j Collect the terms in -194*f**2 - 777*f**2 + 327 + 312. -971*f**2 + 639 Collect the terms in 1629*r - 5088*r + 1716*r + 1544*r. -199*r Collect the terms in -32167*q + 32167*q - 92306*q**2. -92306*q**2 Collect the terms in -178037907397809 + 178037907397809 + r. r Collect the terms in -1854*u + 11219*u + 4661*u + 4426*u. 18452*u Collect the terms in -296*o + 578*o - 282*o + 1899*o**2. 1899*o**2 Collect the terms in 41 + 68 + 1 - 18363*b. -18363*b + 110 Collect the terms in -43075117 - u + 43075117. -u Collect the terms in -61*v**2 - 46*v**2 - 20*v**2 - 56*v**2 + 187*v**2. 4*v**2 Collect the terms in -472*b**2 + 108*b**2 - 569*b**3 + 155*b**2 + 103*b**2 + 106*b**2. -569*b**3 Collect the terms in -2 + 189*u**2 - 8555*u**3 - 189*u**2 - 81*u + 79*u. -8555*u**3 - 2*u - 2 Collect the terms in 64*u - 58*u + 158871522*u**2 - 158871513*u**2. 9*u**2 + 6*u Collect the terms in -9*p - 13*p + 45*p + 1839*p**2 - 23*p. 1839*p**2 Collect the terms in -4184489*h + 148*h**2 + 2092244*h + 2092245*h - 148*h**2 - 2*h**3. -2*h**3 Collect the terms in -101 - 105 - 86 - 98 + 12*h - 111 + 534. 12*h + 33 Collect the terms in 19*s**2 + 786 - 3*s**3 + 4*s**2 + 568 + 5*s. -3*s**3 + 23*s**2 + 5*s + 1354 Collect the terms in -17*n - 8405401 - 13*n + 16810804 - 8405403. -30*n Collect the terms in 55*o - 345*o + 54*o + 55*o + 49*o + 89*o + 35*o. -8*o Collect the terms in -3*o**3 - 146550*o**2 - 25 - 146246*o**2 + 292796*o**2. -3*o**3 - 25 Collect the terms in 2*l - 301*l**2 + 197*l**2 + 60*l**2. -44*l**2 + 2*l Collect the terms in -482*w**2 - 481*w**2 + 1447*w**2 + 2*w - 481*w**2. 3*w**2 + 2*w Collect the terms in 22264 - 105*q - 236*q - 22247. -341*q + 17 Collect the terms in -3144 - 3156 + 5*j**2 - 3151 + 9451. 5*j**2 Collect the terms in -42609*b - 209566*b + 1 - 5 - 69807*b. -321982*b - 4 Collect the terms in 38*f - 8*f - 32*f + 388*f**2. 388*f**2 - 2*f Collect the terms in -33 - 9*v + 11 - 7 + 140*v**2 + 4*v. 140*v**2 - 5*v - 29 Collect the terms in -3973*z**2 - 14094*z**2 - 7251*z**2 - 11174*z**2. -36492*z**2 Collect the terms in -438*d**2 + 440*d + 441*d - 135*d**2 + 4 - 879*d. -573*d**2 + 2*d + 4 Collect the terms in 361*h + 3701530 - 3701530. 361*h Collect the terms in 249 - 249 + 1111464986*p**2 - 1111464981*p**2. 5*p**2 Collect the terms in 70*p + p**3 - 24*p - 16 - 48*p. p**3 - 2*p - 16 Collect the terms in 2517 + 29*y**3 - 11*y**3 - 11*y**3 - 1259 - 1258 - 6*y**3. y**3 Collect the terms in -43651578 - 24*m**3 + 21825785 + 21825791. -24*m**3 - 2 Collect the terms in -2 - 800*x + 2 + 6 - 6 - 793*x + 1588*x. -5*x Collect the terms in -70551 + 35530 + 35023 - 29*q + 482*q. 453*q + 2 Collect the terms in x**2 + 2907 + 6*x + 2717 - 5624. x**2 + 6*x Collect the terms in 13216105017*j**3 - 13 + 13 - 13216105046*j**3. -29*j**3 Collect the terms in -1 + 5915*g + 2311*g - 596*g. 7630*g - 1 Collect the terms in 421152*c**3 - 421100*c**3 - 4*c**2 + 4*c**2. 52*c**3 Collect the terms in 24441 - 2971*q**3 - 24441. -2971*q**3 Collect the terms in 3056*p - 90843*p**3 - 3056*p. -90843*p**3 Collect the terms in 875*c - 3384*c + 1661*c + 854*c. 6*c Collect the terms in -5*o - 129*o + 2*o**2 + 141*o - 18*o. 2*o**2 - 11*o Collect the terms in 15*a**2 - 94*a**2 - 2*a**3 - 7*a**2 + 44*a**2 + 42*a**2. -2*a**3 Collect the terms in -565*t + 16 - 299*t**2 - 16 + 565*t. -299*t**2 Collect the terms in 18367*z - 36506*z + 18271*z. 132*z Collect the terms in 2570*p**3 - 5206*p**3 + 2539*p**3. -97*p**3 Collect the terms in -653342*j - 653344*j + 1960028*j - j**3 - 653342*j - 14*j**3. -15*j**3 Collect the terms in 310*l - 932*l + 340*l + 318*l. 36*l Collect the terms in -18053*i**3 + 35854*i**3 - 17804*i**3. -3*i**3 Collect the terms in 9851*y - 10442*y - 1 - 4 + 5 + 0. -591*y Collect the terms in -
{ "pile_set_name": "DM Mathematics" }
- 5*sqrt(24))/((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + -2*sqrt(200) - sqrt(200)))))*1 - sqrt(200)))**2. 3/100 Simplify 2 + (2 + sqrt(252) + -1)*-4. -24*sqrt(7) - 2 Simplify (-2*sqrt(306))/(sqrt(2) - (sqrt(20)*-1)/sqrt(10))*-5. 15*sqrt(17) Simplify (-3*-1*(sqrt(128)*-3 + -5))**2. 2160*sqrt(2) + 10593 Simplify ((-2*sqrt(6480) - sqrt(6480))*2)/(sqrt(225) - (sqrt(225) + sqrt(225) + 4*(sqrt(225) + (-2*sqrt(225) - sqrt(225) - sqrt(225))))). -72*sqrt(5)/55 Simplify -1*(4 + sqrt(1425)/sqrt(3)*1). -5*sqrt(19) - 4 Simplify (sqrt(170) + sqrt(170)*2*-2)/sqrt(10) + (-3*sqrt(102)/sqrt(54))**2 + -1. -3*sqrt(17) + 16 Simplify (2 + sqrt(304)*-2 + 2*sqrt(304)*-6 + -1)*5. -280*sqrt(19) + 5 Simplify (5 + ((sqrt(60) - ((sqrt(420)*-2 - sqrt(420))/sqrt(7) - sqrt(60) - sqrt(60))) + sqrt(60))/(1*sqrt(192)))**2 + 4. 35*sqrt(5)/2 + 709/16 Simplify (-6*sqrt(650))/(sqrt(200)*2 + sqrt(200)) + -1. -sqrt(13) - 1 Simplify (-6*(-2*sqrt(132) - sqrt(132))*2)/(sqrt(12) + 3*sqrt(48)/sqrt(4) + 2*sqrt(192)). 3*sqrt(11) Simplify (3 + (sqrt(68)/sqrt(4)*-3 + 3 + (-3 + sqrt(272))*-2)**2)*2. -396*sqrt(17) + 4282 Simplify (sqrt(15) + -2*sqrt(960))/sqrt(1200). -3*sqrt(5)/4 Simplify (sqrt(144)/sqrt(27)*-6)/((sqrt(44) + 6*(sqrt(132)/sqrt(3) + sqrt(44) + sqrt(44)))/sqrt(11)). -4*sqrt(3)/19 Simplify (1 + (0 + (sqrt(363) - (sqrt(363) + -2*sqrt(363)) - sqrt(363)) - (-5 + sqrt(363)*2)) + 5)**2. -242*sqrt(3) + 484 Simplify -4 + (sqrt(75) + ((-1 + sqrt(75) - sqrt(75)) + -1)**2 - (0 + 1 + sqrt(75))). -1 Simplify -4 + 4*(3 + -2 + sqrt(832) - sqrt(39)/(sqrt(147) - -1*sqrt(147))). 222*sqrt(13)/7 Simplify ((sqrt(90) - 2*sqrt(90)*5)/sqrt(2))/((sqrt(1296) - -2*sqrt(1296))*-6). sqrt(5)/24 Simplify ((3*sqrt(204))/(sqrt(864)/sqrt(8)))**2. 17 Simplify (4 + 3*3*1*3*sqrt(208))*-3. -324*sqrt(13) - 12 Simplify (sqrt(176)*-2 + sqrt(176) + 5 + 0 + (sqrt(33) - (sqrt(33) + sqrt(1617) + sqrt(1617)*2 + sqrt(1617)))/(sqrt(12)/(sqrt(16)/sqrt(4))))**2. -320*sqrt(11) + 11289 Simplify (sqrt(117) + sqrt(117)*-2 + -1 - (0 + sqrt(325) + 1 + sqrt(325) + sqrt(325)))**2 + 5. 72*sqrt(13) + 4221 Simplify (-1*sqrt(1539) + sqrt(1539) + -3)**2 - (sqrt(133) + (-1*sqrt(133)*6 + sqrt(133) + sqrt(133) - sqrt(133)))/sqrt(7). 9 + 4*sqrt(19) Simplify (sqrt(192) + (1*sqrt(192) + sqrt(192) + sqrt(192))*5)/(sqrt(12)/(-1*-2*sqrt(2))). 128*sqrt(2) Simplify 2*(sqrt(539)*-2)**2*-4 + ((sqrt(165)/sqrt(5) + sqrt(33) + sqrt(33))/sqrt(3) - -6*sqrt(44)/sqrt(4))**2. -16357 Simplify ((3*sqrt(3584) + sqrt(3584))*4)/((sqrt(392) + -1*sqrt(392))*5 - sqrt(392) - sqrt(392)). -64*sqrt(7)/7 Simplify -2*((2 + sqrt(99) + (-1 + sqrt(99) - sqrt(99))*5)**2 + -1). -214 + 36*sqrt(11) Simplify (sqrt(88) + sqrt(88)*5*-5)/(6*sqrt(40)/sqrt(5) + sqrt(8)). -24*sqrt(11)/7 Simplify (4*(-3 + sqrt(108)) + 2)**2 + -4. -480*sqrt(3) + 1824 Simplify 4 + (-2 + 1 + sqrt(98) + 2 + -2)**2. -14*sqrt(2) + 103 Simplify ((sqrt(525) - 1*sqrt(525))*-6)/(sqrt(35)/((sqrt(55) + sqrt(55)*2 + sqrt(55))/sqrt(11))). 0 Simplify (sqrt(228)*2*-4 + sqrt(228) + sqrt(228) - -6*sqrt(228)*-2)/(sqrt(120)/(sqrt(10)*-1)*-3). -6*sqrt(19) Simplify (2*(-4*-2*sqrt(15))/((sqrt(105)/sqrt(3))/sqrt(7))*-1 + -4)**2. 128*sqrt(3) + 784 Simplify (sqrt(14)/sqrt(2) + 0 - (sqrt(252)/sqrt(4))/sqrt(9)) + -5*(sqrt(7) + 0) + -2. -5*sqrt(7) - 2 Simplify (sqrt(9)/(sqrt(12)/sqrt(4)) + sqrt(3)*-1*-6 - (sqrt(48) + 5 + -1 + sqrt(27)))**2. 16 Simplify -1 + (-4 + (sqrt(833) + -1 + -2 - (sqrt(833) - (sqrt(833) - (sqrt(833) + sqrt(833)*1) - sqrt(833))*-2)))**2 + 5. -392*sqrt(17) + 13381 Simplify -6*((sqrt(1573) - sqrt(1573)*-1*-4) + -2*(sqrt(1573) + 3))**2. -236166 - 3960*sqrt(13) Simplify ((4*(sqrt(140) - -4*sqrt(140) - sqrt(140)))/sqrt(7))/(5*sqrt(70)/(2*sqrt(7))). 32*sqrt(2)/5 Simplify (-4*sqrt(171)*1 + sqrt(171) + (sqrt(171)*-1*5 - sqrt(171)))/((-1*sqrt(1089) - sqrt(9) - sqrt(9))*-1). -9*sqrt(19)/13 Simplify 4 + (sqrt(2)*-1 + sqrt(2))*6*-5 - (-3 + (-3*((-1 + sqrt(2))**2 + sqrt(2)) - sqrt(2))*-4). -29 + 8*sqrt(2) Simplify ((sqrt(1008) - (1 + sqrt(1008))) + -2 + sqrt(1008) + sqrt(1008) + -1 + 2)**2 + -3 + (-3*sqrt(1008))**2 + 5 + sqrt(1008). -84*sqrt(7) + 13110 Simplify ((3 + 0 + sqrt(931) + sqrt(931) + 5)**2 + -3)*5 + 4. 1120*sqrt(19) + 18929 Simplify -1*(-1 + (-3 + 5 + sqrt(117))**2). -120 - 12*sqrt(13) Simplify (((-4*-1*sqrt(1053) + sqrt(1053))**2 - (sqrt(1053) + 4 + sqrt(1053)*-1)) + 5)*1 + -2. 26324 Simplify 1 + sqrt(2800) - sqrt(2800) - ((sqrt(84)*1)/sqrt(3))**2 - ((sqrt(112)*-1 - sqrt(112)) + -1*sqrt(28) + -5)**2. -752 - 100*sqrt(7) Simplify (5 + (sqrt(156) - 2*sqrt(156)*2)/(-2*sqrt(108)))*4. 2*sqrt(13) + 20 Simplify (sqrt(5) - (sqrt(5) - (sqrt(55) - sqrt(275)/sqrt(5))/sqrt(11)))**2 + 2 - (sqrt(35)/(sqrt(343)*1))**2. 93/49 Simplify ((((sqrt(110) + (sqrt(110) - -1*sqrt(110)*3) - sqrt(110)) + sqrt(110))*3)/(sqrt(160)/sqrt(4)*-1))**2. 2475/4 Simplify (sqrt(175)*-5 + 1*sqrt(7)*2 + (sqrt(7) - (2 + sqrt(21)/sqrt(3))) + -4)**2. 276*sqrt(7) + 3739 Simplify (-5 + ((sqrt(320) - (-2*-2*sqrt(320) - sqrt(320))) + sqrt(320) + sqrt(320) + sqrt(320))/((sqrt(10) + (1*sqrt(10) - sqrt(10)))*-6))**2. 20*sqrt(2)/3 + 233/9 Simplify 5*(sqrt(100)/(-1*sqrt(10) - sqrt(10)))/(3*sqrt(32)). -5*sqrt(5)/24 Simplify (-4*sqrt(117)/sqrt(3) + 4*sqrt(156))/((sqrt(363) + -2*sqrt(363) - sqrt(363)) + (sqrt(75)*1 - sqrt(75)))*1. -2*sqrt(13)/11 Simplify (3*(-6*(sqrt(68) + (3*sqrt(68) - sqrt(68))) - (-4 + sqrt(68) + 0 + sqrt(68)))*4)**2. -46080*sqrt(17) + 3919104 Simplify (2*sqrt(1088) + 1 - ((sqrt(1088)*2)**2*6 + sqrt(1088)))*2*-5. -80*sqrt(17) + 261110 Simplify (sqrt(252) - -4*(sqrt(252) + -2) - ((sqrt(448) + -2 - sqrt(448) - sqrt(7)) + 4))**2. -620*sqrt(7) + 6827 Simplify -1*((sqrt(190) + -1*sqrt(190)*-6 + sqrt(190))/(sqrt(10) + sqrt(10)*-2*6 + sqrt(10))*3)**2. -2736/25 Simplify (-4*sqrt(78)*1 - (sqrt(78)*1*1 - sqrt(78)))/((sqrt(600) - (2*sqrt(600) + sqrt(600) + sqrt(600))*-3) + sqrt(600)). -sqrt(13)/35 Simplify -2 + sqrt(17) + 5 + -5 - ((-5*(sqrt(187)*-1 - sqrt(187)))/sqrt(11))**2. -1702 + sqrt(17) Simplify (-1 + sqrt(720) + sqrt(720)*4 + -5 + 1 + 0)**2. -600*sqrt(5) + 18025 Simplify (sqrt(22) - (sqrt(22) - (sqrt(2200) - (sqrt(2200) - -2*sqrt(2200)))))/(sqrt(2) + 2*sqrt(2)*5)*5. -100*sqrt(11)/11 Simplify -2*(-3 + (3*(sqrt(308) + sqrt(308) + sqrt(308) + sqrt(308) + sqrt(308) + sqrt(308)*1 + sqrt(308) + sqrt(308)))/(-1*sqrt(11)*1)). 6 + 96*sqrt(7) Simplify -4*-2*(-2 + sqrt(1300))**2*-1*-2. -640*sqrt(13) + 20864 Simplify 4*((sqrt(70)/(sqrt(2)*-2) - sqrt(35))/sqrt(7))**2*-5. -225 Simplify ((sqrt(2736) - 1*sqrt(2736)) + 2 + sqrt(171)/(2*sqrt(144) - sqrt(9)))**2. 4*sqrt(19)/7 + 215/49 Simplify ((sqrt(20) - sqrt(20)*-1) + 1 + 4)*-1. -4*sqrt(5) - 5 Simplify -3 + -2 + ((sqrt(28)/sqrt(4)*-2 + sqrt(7) - sqrt(7)) + 5 - (5 + 2 + sqrt(1008)))**2. 56*sqrt(7) + 1371 Simplify (6*(3 + -1 + sqrt(99) + (-2*sqrt(99) - sqrt(99))*-2))**2. 3024*sqrt(11) + 174780 Simplify ((sqrt(931) + 1 + -3 + 4 + (sqrt(931) - sqrt(931)*2) + 1)*-5)**2. 225 Simplify ((-2*sqrt(294))/sqrt(7))/(-2*sqrt(384) + sqrt(6)) + -5*(-1 + sqrt(448)) + 3. -598*sqrt(7)/15 + 8 Simplify (5*(sqrt(3168) - (sqrt(3168) + sqrt(3168)*-1)) - sqrt(3168))/((sqrt(99) + sqrt(99)*-2)*5). -16*sqrt(2)/5 Simplify (2*(2*sqrt(2736) + sqrt(2736)) + sqrt(2736))**2 + (3*(sqrt(2736) + sqrt(2736) + -1 + sqrt(2736)))**2 + -4. -648*sqrt(19) + 355685 Simplify (-5*(sqrt(133) - -5*(sqrt(133) - sqrt(133)*-1 - sqrt(133))))/(sqrt(42)/sqrt(54) - (sqrt(847) - sqrt(847)*-1)). 18*sqrt(19)/13 Simplify 0 + ((sqrt(1872) + 2)**2 - sqrt(637)*-3)*5. 345*sqrt(13) + 9380 Simplify ((sqrt(18)/sqrt(576))**2 - (sqrt(6) + sqrt(42)/sqrt(7))/sqrt(3)) + 2. -2*sqrt(2) + 65/32 Simplify (3 + (sqrt(95)/(sqrt(5) - (sqrt(15)/sqrt(75) + sqrt(5))) - (2*(sqrt(114) + sqrt(114)*2) + sqrt(114))/sqrt(6)))**2 + 1. -72*sqrt(19) + 2746 Simplify (((sqrt(440) - 2*sqrt(440)*1) + sqrt(440) + sqrt(440))/(sqrt(490) + 2*sqrt(490) + sqrt(490) + sqrt(490)))**2. 44/1225 Simplify ((sqrt(500) + 1 + sqrt(5))**2 - 1*(sqrt(5) - (sqrt(5) + sqrt(5) + 1))**2)*5 + 3. 100*sqrt(5) + 3003 Simplify -4 + (-1*sqrt(550) + sqrt(22))/(sqrt(32) + sqrt(96)/sqrt(3)). -4 - sqrt(11)/2 Simplify (sqrt(108)*-2 + sqrt(108))*3 + 1 - (sqrt(21)/sqrt(63)*6)**2*3. -35 - 18*sqrt(3) Simplify ((-3 + (((1*sqrt(340) - sqrt(340)) + sqrt(340) + sqrt(340))/sqrt(10))/(-3*sqrt(4)/sqrt(2)))*1)**2. 4*sqrt(17) + 149/9 Simplify
{ "pile_set_name": "DM Mathematics" }
2 and 0.292. -0.018104 Product of 38871 and 0.3. 11661.3 Multiply -0.814005 and -0.5. 0.4070025 Work out 19 * 7238. 137522 702 * 0.001 0.702 30*-2249 -67470 Calculate 0.57*3530. 2012.1 Work out 851 * -587.3. -499792.3 What is -2 times -1121.762? 2243.524 0.3*-9517 -2855.1 -45770 * 1 -45770 12 * 32197 386364 Multiply 30 and 226.23. 6786.9 -204.23*-6 1225.38 -72 times 0.1726 -12.4272 -1.47101*0.03 -0.0441303 7*-0.38958 -2.72706 What is 109315 times -4? -437260 0.0061 times 65 0.3965 3.84*-0.1266 -0.486144 Calculate -2*7674. -15348 What is the product of -1134.72 and -2? 2269.44 1.6 times 2.2911 3.66576 0.3 * -32349 -9704.7 Work out 0.4026 * 620. 249.612 Work out -12112 * 9. -109008 -307.256 times -1 307.256 Calculate 0.5*1.28064. 0.64032 What is 8 times 0.0546? 0.4368 0.06259 * 0.04 0.0025036 -26187*-0.03 785.61 Multiply -3159 and 0.0102. -32.2218 Multiply 23.451 and -2. -46.902 Product of -1 and 74.2. -74.2 -203.2*1 -203.2 -0.03*-207484 6224.52 58 times 4557 264306 Product of 82 and 5430.6. 445309.2 -0.5*11260.3 -5630.15 1662*93 154566 -102954 * -0.5 51477 Multiply -45.69 and -7. 319.83 1009.8*201 202969.8 1629 * 3.62 5896.98 104*6005 624520 Work out 3 * -0.48338. -1.45014 Product of 0.6 and -1.708. -1.0248 Work out 0.4 * 67235. 26894 Work out -1.754 * -0.232. 0.406928 0.1 times 3747.4 374.74 What is 489.1 times 192? 93907.2 Product of 0.33261 and -0.27. -0.0898047 Product of 6458 and -4. -25832 -1*-43119 43119 0.6 * -2339 -1403.4 0.1 * -11995 -1199.5 -12*-23349 280188 Multiply 0.035 and 17.4. 0.609 Work out 639 * -8.5. -5431.5 Multiply 2.903 and -0.452. -1.312156 49242*20 984840 -16406*-0.2 3281.2 3*0.244122 0.732366 What is 0.1 times -11256? -1125.6 0.29*-762 -220.98 Calculate -16*1004.5. -16072 -5*0.0723 -0.3615 What is -48599 times -0.049? 2381.351 Work out -0.149 * 0.001. -0.000149 0.085*-117.2 -9.962 Product of 8540 and -160. -1366400 -104301 times 10 -1043010 -396019*-5 1980095 Calculate -0.19*-12623.8. 2398.522 -2219 times 209 -463771 Multiply 65.734 and 95. 6244.73 Product of 30 and -12733. -381990 434 * 0.3424 148.6016 Calculate 70*0.04904. 3.4328 -57687*0.3 -17306.1 728 * -0.047 -34.216 What is 176294 times -0.4? -70517.6 -4 times -7609 30436 Multiply 3 and 1723. 5169 Multiply 467 and -607. -283469 152 times -1.308 -198.816 What is the product of -0.2 and -37782? 7556.4 What is 48 times 0.42564? 20.43072 What is the product of -38 and 2166? -82308 0.805 times -235 -189.175 What is the product of -20896 and 0.1? -2089.6 What is the product of -577 and 0.0573? -33.0621 What is the product of -1.4 and 1595? -2233 What is the product of -0.0501 and 780? -39.078 Product of 22260 and -0.11. -2448.6 Product of 791 and -0.2536. -200.5976 Product of 240781 and -0.1. -24078.1 Product of 0.8 and -44976. -35980.8 Calculate -32*407.8. -13049.6 0.1 * -45.303 -4.5303 -411 * 136 -55896 0.3*11939 3581.7 Multiply 1597773 and 0.3. 479331.9 8323 * 2.5 20807.5 Product of -0.14 and -172138. 24099.32 Product of 591.6 and 152. 89923.2 1 * 2248 2248 What is 5.6 times 0.0988? 0.55328 -25.447*-0.64 16.28608 Work out 17.34 * -7.8. -135.252 What is the product of 0 and -2.837? 0 What is the product of 27965 and 18? 503370 0.966 * 2 1.932 -555 times -30 16650 Multiply -5 and -398.682. 1993.41 What is -1.4703 times -0.02? 0.029406 -30*1.4418 -43.254 -0.0298 * 0.6 -0.01788 Multiply 6.9 and 250. 1725 Calculate 2591*-1.1. -2850.1 What is -474 times 0.87? -412.38 678 times -135 -91530 What is 8 times -5.163? -41.304 What is the product of -23.1831 and -0.5? 11.59155 What is 49.4 times -31? -1531.4 What is the product of -0.4 and 701? -280.4 Multiply -8 and -2207. 17656 Product of 151.18 and 110. 16629.8 1249801.8 * 4 4999207.2 Work out 15378 * -0.109. -1676.202 What is the product of 0.5667 and -5? -2.8335 What is the product of -658134 and 0? 0 What is 0.4 times -11441? -4576.4 Work out -2 * -46149. 92298 1.1 * 4.746 5.2206 -0.00483 times -4 0.01932 -1667 * 0.26 -433.42 Multiply -2.16 and 6.36. -13.7376 -96899 * 0.2 -19379.8 -560406 times -8 4483248 -438 * 0.279 -122.202 Work out 26361.3 * 0.5. 13180.65 What is -77264 times 0.022? -1699.808 Calculate -28*-1.19. 33.32 What is 1015655 times 4? 4062620 0.0699 times 0.5 0.03495 -12.89 times -15 193.35 -0.6 * 14.4558 -8.67348 -37649 times -5 188245 Multiply -797.8 and 0.18. -143.604 What is the product of -0.034 and 4779? -162.486 -183 * -0.0206 3.7698 Work out 0.0909 * -0.1. -0.00909 -1917 * -109 208953 16318 * 6 97908 What is -5293 times -51? 269943 Work out -0.2 * -123.67. 24.734 Calculate -0.2*6.663. -1.3326 Product of 0.0137 and 0.27. 0.003699 Work out 0.14154 * -0.72. -0.1019088 263944*-0.01 -2639.44 Product of 66967 and 0.051. 3415.317 7745.7*0.39 3020.823 What is -35.3796 times -0.3? 10.61388 4079*0.2 815.8 42 * 20.1 844.2 Work out 0.3 * 140392. 42117.6 What is the product of -2 and -13725? 27450 Work out -0.2 * -483164. 96632.8 Product of 25637.5 and 0. 0 7 * 0.11734 0.82138 What is the product of 1.748 and -227? -396.796 -0.10285 times -12 1.2342 117869 times -0.3 -35360.7 What is -5 times -7257? 36285 67*1.361 91.187 Multiply -4 and 588538. -2354152 Calculate 336965*4. 1347860 11901 * 43 511743 Multiply 0.096 and 129.9. 12.4704 What is -141 times -0.35? 49.35 Product of 14.06 and 31.84. 447.6704 Multiply -4828094 and -0.1. 482809.4 Product of -37 and -25.14. 930.18 -0.16 * 1.5 -0.24 Calculate -21*3.005. -63.105 Calculate -1191807*-4. 4767228 2623 times 1.7 4459.1 Work out 28.4 * -4098. -116383.2 Work out 508 * 0.103. 52.324 2773 times 390 1081470 31*0.027272 0.845432 361*-35.69 -12884.09 Product of 3612 and 33. 119196 Calculate 2.822*89. 251.158 -0.0204 times 2.94 -0.059976 Multiply -0.051772 and -0.1. 0.0051772 -22.822 * 0.2 -4.5644 -10.8 times -89 961.2 -208 times 5.2 -1081.6 What is the product of -1104.74 and -0.3? 331.422 Multiply -9245 and -35. 323575 Multiply -0.8 and 1648.99. -1319.192 0.3 * -751826 -225547.8 Work out -49 * -12622. 618478 Multiply -0.04071 and 5. -0.20355 What is the product of 0.04259962 and 0? 0 80826*0.2 16165.2 What is the product of 59.5 and 0.5? 29.75 What is -0.0388 times 899? -34.8812 Multiply 8.604 and 0.2. 1.7208 -0.08 * 0.11548 -0.0092384 Product of -178 and 3078. -547884 Calculate -0.61*9104. -5553.44 Product of -1543 and -9. 13887 Product of -0.14 and 949.73. -132.9622 -1.1 * 59 -64.9 Work out -84325 * 0.03. -2529.75 What is the product of 243 and 1553? 377379 Multiply 0.122 and 7722. 942.084 Product of 5.512 and 0.24. 1.32288 Work out -169 * -10811. 1827059 What is 0.1 times 0.157141? 0.0157141 Work out -7 * -3992. 27944 Multiply -249 and -1.761. 438.489 What is -6.8 times 1.17? -7.956 -2.7761 times -0.13 0.360893 0.5 times 7320 3660 Work out 3.92 * -1621. -6354.32 What is the product of -0.81325 and 0.7? -0.569275 102 * -7735 -788970 Multiply 2 and -0.036301. -0.072602 What is -117 times -1227? 143559 What is the product of 0.27 and 996? 268.92 Calculate -22*-0.00543. 0.11946 Multiply -43 and -0.02964. 1.27452 -6 times -3171 19026 Multiply 1548 and 2114. 3272472 -0.5*-311.68 155.84 1.0907 times -246 -268.3122 Calculate 4*73037. 292148 Work out 0.04 * -0.378. -0.01512 -184 times -69.65 12815.6 204896 * -0.1 -20489.6 -887 times -147 130389 What is 160273 times 0.05? 8013.65 Calculate 212.35*4. 849.4 Multiply -4.5 and 9193. -41368.5 Multiply 0.23 and -2.864. -0.65872 What is 188 times -0.726? -136.488 Calculate 0.4176*-0.1. -0.04176 Calculate -4*-97771. 391084 Multiply 4.266 and 0.1041. 0.4440906 Calculate 0.368817*-4. -1.475268 0.2438 * 1256 306.2128 What is the product of -9 and 74857? -673713 What is the product of 361664 and 0.2? 72332.8 -17938 times -4 71752 Work out 102 * -4.3667. -445.4034 Multiply 5 and 15567.25. 77836.25 Multiply 0.02 and -18.267. -0.36534 Product of 557 and 44. 24508 What is 0.106 times 0.9521? 0.1009226 Product of -0.2 and -707. 141.4 Product of 0.045835 and 8. 0.36668 Work out 50 * 1.979. 98.95 -0.3 times 236148 -70844.4 Calculate -4627*92. -425684 27678 times 14.2 393027.6 -106 times -5452 577912 Product of -17898 and -3. 53694 What is the product of 0.082 and -5387? -441.734 Product of 5345 and 195. 1042275 Calculate 0.16*0.8253. 0.132048 Calculate 0.1*8796. 879.6 Calculate 2*-688.47. -1376.94 Calculate -0.2*-222.216. 44.4432 -762 times 0.
{ "pile_set_name": "DM Mathematics" }
is -0.0068705883 rounded to 6 decimal places? -0.006871 What is 4095.74169 rounded to the nearest integer? 4096 What is -9.4801685 rounded to zero dps? -9 What is 17.26502648 rounded to 0 dps? 17 Round -27331953.24 to the nearest 10000. -27330000 What is 80.85411364 rounded to one dp? 80.9 What is 206.9377923 rounded to two dps? 206.94 Round -31.8351525 to 3 decimal places. -31.835 What is 0.00000176467753 rounded to 7 decimal places? 0.0000018 What is 229712.2916 rounded to the nearest one hundred? 229700 Round 10634191.3 to the nearest one thousand. 10634000 Round 0.00057419137 to seven decimal places. 0.0005742 What is -6.4419606 rounded to three decimal places? -6.442 Round -0.053286106 to five dps. -0.05329 What is -591.346868 rounded to the nearest 10? -590 What is -0.0000071072028 rounded to seven dps? -0.0000071 Round -15.11958921 to 3 decimal places. -15.12 What is 631.012681 rounded to the nearest ten? 630 Round -0.779125134 to 1 decimal place. -0.8 What is -0.058239622 rounded to 5 decimal places? -0.05824 Round 4087.232676 to the nearest integer. 4087 What is 717.67272 rounded to the nearest 100? 700 Round 19711684.1 to the nearest one million. 20000000 Round 0.011165067603 to four dps. 0.0112 What is 0.00000857381213 rounded to seven decimal places? 0.0000086 Round 0.035080252 to two decimal places. 0.04 What is 0.1982358768 rounded to 2 decimal places? 0.2 What is 12432902.73 rounded to the nearest 1000? 12433000 Round 16.8992245 to 3 dps. 16.899 Round -21588272.1 to the nearest one million. -22000000 What is 10.0165593 rounded to the nearest integer? 10 What is 148.06199942 rounded to 3 decimal places? 148.062 What is -0.1033496945 rounded to five dps? -0.10335 Round -4243000.89 to the nearest one hundred thousand. -4200000 Round -0.817632369 to 1 dp. -0.8 What is 0.0007678014053 rounded to five dps? 0.00077 What is -25916599610 rounded to the nearest 1000000? -25917000000 Round -272876.63 to the nearest one hundred. -272900 Round 48.1543417 to the nearest 10. 50 What is 1585412.67 rounded to the nearest one million? 2000000 What is -1271755661 rounded to the nearest 1000000? -1272000000 Round 156.3037598 to the nearest integer. 156 Round 0.0051599045 to six decimal places. 0.00516 Round -301316326.29 to the nearest 10000. -301320000 What is 94.1015133 rounded to 2 decimal places? 94.1 Round 339304.53 to the nearest 10000. 340000 What is 23.792267 rounded to the nearest ten? 20 Round -54546.1216 to the nearest ten thousand. -50000 What is -0.00000156548095 rounded to six decimal places? -0.000002 Round 94521.772 to the nearest 1000. 95000 What is -282408689600 rounded to the nearest one million? -282409000000 What is -29426.5095 rounded to the nearest one hundred? -29400 What is 0.02205448051 rounded to 4 dps? 0.0221 Round -0.01485672244 to 2 decimal places. -0.01 Round -13.76576287 to 1 dp. -13.8 What is 71151.556 rounded to the nearest 10000? 70000 What is 358.76933 rounded to 0 decimal places? 359 Round 3723.02153 to the nearest 10. 3720 What is -1069.52135 rounded to the nearest integer? -1070 What is -0.0137861129 rounded to six decimal places? -0.013786 Round 19.1512838 to two decimal places. 19.15 Round 0.064851305 to four dps. 0.0649 What is 0.0120705636 rounded to 4 decimal places? 0.0121 Round -662.519381 to the nearest 10. -660 Round -0.000003022780545 to 6 decimal places. -0.000003 What is -5062.435366 rounded to one decimal place? -5062.4 Round 0.00001081875594 to 7 dps. 0.0000108 Round 1045.317971 to one decimal place. 1045.3 Round 0.1548995 to 3 dps. 0.155 Round -13018.75617 to the nearest one hundred. -13000 Round 1.07685419 to 2 dps. 1.08 What is -135.11514 rounded to two dps? -135.12 What is -0.00033557852 rounded to 4 decimal places? -0.0003 Round 0.004248515709 to 3 dps. 0.004 What is -329235.13 rounded to the nearest 100? -329200 Round 0.00000073895462 to 7 dps. 0.0000007 What is -35.435387 rounded to the nearest ten? -40 What is 550.875019 rounded to 2 decimal places? 550.88 Round 1.481512294 to 1 dp. 1.5 What is 184032.786 rounded to the nearest 10000? 180000 What is 0.02008456012 rounded to six dps? 0.020085 Round -0.102967535 to 5 decimal places. -0.10297 Round 14540314.8 to the nearest one thousand. 14540000 Round 12.71521479 to the nearest ten. 10 Round -26424728.26 to the nearest one hundred thousand. -26400000 Round 15.491109573 to 4 dps. 15.4911 What is -79.578422 rounded to the nearest 100? -100 Round 0.000001888613386 to 7 decimal places. 0.0000019 Round 275289.16 to the nearest one hundred. 275300 What is -42268.317 rounded to the nearest one thousand? -42000 Round 3539961.71 to the nearest ten thousand. 3540000 Round 0.00000102140373 to 7 dps. 0.000001 What is -104.8762251 rounded to the nearest ten? -100 Round 4131221.54 to the nearest 1000000. 4000000 What is -0.175904902 rounded to five dps? -0.1759 Round 0.0004457172948 to six decimal places. 0.000446 Round 0.000008714408373 to 6 dps. 0.000009 What is -798311770 rounded to the nearest 1000000? -798000000 Round -1.03447429 to two dps. -1.03 What is 63046.01326 rounded to the nearest one hundred? 63000 Round -16158.432 to 0 dps. -16158 Round 0.41258964 to one dp. 0.4 Round -0.0089880236 to three decimal places. -0.009 What is 100589997.5 rounded to the nearest 10000? 100590000 Round 0.0684662577 to five dps. 0.06847 What is 0.0194242988 rounded to 3 decimal places? 0.019 Round -309799.183 to the nearest 10000. -310000 What is -188702.81 rounded to the nearest one thousand? -189000 Round -303.9654876 to the nearest integer. -304 Round -40.7856667 to 3 decimal places. -40.786 Round -0.002555063522 to 5 dps. -0.00256 Round 0.0190614523 to 6 decimal places. 0.019061 Round 9.558838 to the nearest ten. 10 Round 30228526.176 to the nearest 1000. 30229000 Round 4.055169861 to two dps. 4.06 Round 2.154422646 to 3 dps. 2.154 Round -597381450 to the nearest one million. -597000000 What is 94388194.34 rounded to the nearest one hundred thousand? 94400000 Round -0.0000005540085517 to seven decimal places. -0.0000006 Round -0.00001506475205 to 7 decimal places. -0.0000151 What is 0.0181977174 rounded to 5 decimal places? 0.0182 What is -2454049.74 rounded to the nearest 1000000? -2000000 What is -0.000144292272 rounded to six decimal places? -0.000144 What is 534804681.5 rounded to the nearest one million? 535000000 Round -11.6142492 to 0 dps. -12 What is -3851323330 rounded to the nearest 1000000? -3851000000 What is 0.0013272356 rounded to six decimal places? 0.001327 What is -0.652710641 rounded to 4 decimal places? -0.6527 Round 127.416086 to 2 decimal places. 127.42 Round 0.05637164433 to 5 dps. 0.05637 What is -18044331.9 rounded to the nearest one thousand? -18044000 Round 10928339.066 to the nearest 1000000. 11000000 What is -0.4762849 rounded to four dps? -0.4763 What is -1293.04392 rounded to the nearest 1000? -1000 Round 0.000981348179 to six dps. 0.000981 What is 11761.01219 rounded to the nearest one thousand? 12000 Round 64.3764196 to 3 dps. 64.376 What is 0.4574530062 rounded to 3 dps? 0.457 Round -66683525 to the nearest one hundred thousand. -66700000 What is 0.2956951793 rounded to 2 dps? 0.3 Round -0.005554822491 to six decimal places. -0.005555 Round 1580935960 to the nearest one hundred thousand. 1580900000 Round 0.0142570974 to five dps. 0.01426 Round 0.000120846643 to seven decimal places. 0.0001208 Round 147756.0566 to the nearest 1000. 148000 What is 9.172520138 rounded to four decimal places? 9.1725 What is 2346.634 rounded to the nearest 10? 2350 Round 198868.302 to the nearest 10000. 200000 Round -13.6475023 to 2 dps. -13.65 Round -0.000710098475 to four dps. -0.0007 Round -1.30857592 to three decimal places. -1.309 What is -0.00305657634 rounded to four dps? -0.0031 Round -161907.2221 to the nearest one hundred. -161900 What is 0.3940153 rounded to 3 dps? 0.394 What is -97851.6293 rounded to the nearest 10? -97850 Round -9514586.87 to the nearest one hundred thousand. -9500000 What is -37.91988194 rounded to the nearest ten? -40 Round 0.00059970502 to five decimal places. 0.0006 What is 0.00057155751 rounded to 5 decimal places? 0.00057 Round 2.653754598 to 3 dps. 2.654 What is -436031551.8 rounded to the nearest one hundre
{ "pile_set_name": "DM Mathematics" }
5 and x equal? False Suppose 0*o = -3*o + o. Suppose 4*t + 2*x + 11 - 5 = 0, -3*t + 4*x + 1 = o. Is t <= -15/34? True Let h(j) = j + 15. Let w be h(-9). Suppose -w*b - 3 = -3*b. Let x = -1.1 + 1. Which is bigger: b or x? x Let l = 0.65 + -40.65. Let g = -50 + 81. Let u = l + g. Is u at least as big as -2? False Let s be (-42)/(-336) + (-7202)/16 + -7. Is s at most -457? True Suppose -47*t + 74 = 47*t - 20. Which is greater: 2/79559 or t? t Let b = -142510.91 + 142511. Let t = 3.89 + 0.11. Is t at least as big as b? True Suppose 4*a + 2520 = 11*a. Let r = 353 - a. Which is smaller: r or 2? r Let s be (-12)/(-10) + 50687/(-1560) + (-4)/(-6). Which is smaller: -32 or s? -32 Let y be ((-13)/52)/(2/(-16)). Suppose 4*x = -g - 7, y*g - 3*g - 2*x - 1 = 0. Let r be -5 - -1 - (-3 - g). Is r less than or equal to 6? True Let i = 521 - 1257. Which is greater: -733 or i? -733 Let t = -17.01947 - -0.01947. Which is greater: t or -1.05? -1.05 Let o = 5.91 + -662.91. Let a = 658 + o. Which is smaller: a or 60/7? a Let w = 1476 + -1544. Which is greater: w or 61? 61 Let t = 30 + -24.4. Let a = t - 8.6. Let v = -1.97 - 0.23. Which is smaller: v or a? a Suppose 11 - 31 = -5*j. Suppose -288 = -5*w - j*w. Suppose 4*m = -4*p - w, 6 = -5*m + 3*p - 10. Which is smaller: -24/5 or m? m Let q = 2737 + -2749. Let x = -24 + 8. Which is bigger: q or x? q Let r(m) = 5*m**3 - m**2 + 18*m - 46. Let x be r(4). Does 3 = x? False Let n(p) = -p**3 - 62*p**2 - 115*p + 262. Let u be n(-60). Do 6.1 and u have the same value? False Let a(t) = 4*t + 3. Let p be a(0). Suppose 6 = -p*o + 4*o. Suppose -u - 5 = -o. Is 9/5 != u? True Suppose -161*q - 108*q = 1665648. Is q greater than or equal to -6191? False Let u = -68243327/1157 - -58983. Which is greater: 1 or u? 1 Suppose 0 = -12*m + 11*m + 104. Let p = -14143/136 + m. Are 1 and p non-equal? True Let l be (-29)/(-9) + 6/(-27). Suppose -u + 0 + 10 = 0. Let a be 18/(-30) - 4/u. Do a and l have different values? True Let z = 150/37 + -62871/148. Let j = 421 + z. Which is smaller: -7 or j? -7 Let n(c) = 6*c**2 - c - 3. Let m be ((-7)/42)/((-1)/4)*-96. Let s = m + 61. Let x be n(s). Which is bigger: 53 or x? x Let c(n) = n**2 + 14*n + 14. Suppose 112 = 6*a - 10*a. Let p = a + 22. Let s be c(p). Is -1 less than s? False Let d(t) = t**2 + 2*t - 3. Suppose 0 = -2*b + 2, 27 = -4*s + b + 170. Let a = 32 - s. Let x be d(a). Which is greater: x or 6? 6 Let z = -6 - 9. Suppose -q = -3*g - 46, -g + 13*q - 10*q = 2. Is z greater than g? True Let x be ((-54)/135)/(2/60). Let i be ((-10)/4)/(95/(-228)). Let q be i/36 + 14/x. Which is smaller: q or 17? q Suppose 0 = -60*w - 17*w - 32*w. Which is smaller: w or 2/6253? w Let t(w) = 4*w**3 + 6*w**2 - 8*w + 2. Let n = 1 + 1. Let i be t(n). Which is greater: 40 or i? i Let t(j) = -3*j**2 - 70*j - 19. Let c be t(-23). Let d = -73.1 - -79. Let r = 6 - d. Is c less than r? False Suppose -3*z - 5*j + 120 = 2*z, 0 = 2*z - 3*j - 38. Let v be (39 - z) + 1/(-1). Which is smaller: v or 10? 10 Let l(s) = -2*s - 2. Let j be l(-3). Let a(t) = -3*t. Let f be a(-2). Suppose -8 = j*v - 0*v - 3*r, 3*v + 2*r = -f. Are -0.11 and v unequal? True Let y = 14.65 - -1.85. Let v = y + -16.3. Is v < -0.8? False Suppose -3*s + 388 = -5*p, -4*s + 5*p + 233 = -276. Let k = s + -116. Which is greater: 9 or k? 9 Let s be 103/(-2163)*3*8. Which is smaller: s or -9.14? -9.14 Let z be (-1 + -17 - 0)/(11 + -10). Suppose b + 3 = 0, 3*g + 4*b + 354 = g. Let x = 151 + g. Is x less than z? True Let t = -93 + 97. Suppose 3*c = -5*w + 43, -2*w + 15 = -t*c + 3. Which is greater: 7 or w? w Let i = 1.0607 + -1.0507. Which is bigger: i or -1667? i Let p be (-2 - -7) + (102 - 107). Is 42/157 greater than p? True Let v = 41348/5 + -992357/120. Suppose -5*d - 3*i = 20, -4*i - 30 = 5*d + i. Which is greater: d or v? v Let p(n) = 6*n + 51. Let c be p(-10). Let a be (-6)/14*c/(1404/333102). Let r = -915 + a. Which is smaller: 1 or r? r Let b = 3.5133 - 3.3837. Which is smaller: 3 or b? b Let f = -193/1705 + 8/55. Let u(j) be the second derivative of j**3/6 + j**2/2 - 3*j. Let t be u(-1). Is f greater than t? True Suppose -14 = -3*t + 10. Let y be (6*t/(-128))/((-2)/132). Which is smaller: y or 26? y Let w be 303*(15 - 112/48). Which is bigger: w or 3836? w Suppose -5*h + 36 = -i + 8, h = 5. Let m be (i - -4)/((-310)/156 - -2). Let v = 104 - m. Which is smaller: v or 28? v Let c = 0.44 - 28.44. Let d = -43 - c. Let m = 45699 + -45701. Is m greater than or equal to d? True Let a be ((-1550)/(-217) + 1*-7)/(130/35). Which is bigger: 2/223 or a? a Let o be 1 + -1 + (34 - 5954/156). Suppose 0 = 8*b - 5*b + 15. Is o greater than or equal to b? True Suppose -5*c + 15 = -2*c. Suppose -2*f + 22 = 4*u, -2*f - u + 6 = -16. Suppose f*a = 16*a - c. Which is smaller: a or 11/7? a Let t(f) = 1464*f + 16103. Let p be t(-11). Which is bigger: 74/437 or p? 74/437 Suppose 0 = -106*z + 111*z - 5*t + 225, 2*z = t - 86. Suppose -w - 5*r = 22, -4*w + 2*r - 160 = 4*r. Is z < w? False Let w be 54/45 - 1 - 68/(-10). Let p(f) = -f**3 + 3*f**2 + 15*f - 5. Let l be p(w). Let k = -103 - l. Are k and -25/4 equal? False Suppose 5*i = 3*b + 92, 53 = -2*b - 0*i - 5*i. Suppose 70 = -2*f + 9*f. Let n be f/(-2)*(-4)/12*-18. Which is smaller: n or b? n Suppose 0 = 108*z - 101*z + 280. Let a = 266 + -312. Which is greater: z or a? z Suppose 0 = -5*l - 69 - 41. Let k(j) = -2*j - 10. Let a(v) = v - 6. Let q(z) = -2*a(z) - 2*k(z). Let y be q(-28). Which is smaller: l or y? y Let k = -22 - -22.1. Suppose 35*i = 37*i + 162. Let c = i - -813/10. Are c and k equal? False Let c(r) = -2*r**2 + 3*r + 230. Let w be c(-10). Do w and -2/195 have the same value? False Let b = -97 - -40. Let s be (21/(-63))/((-3)/3). Is b at least s? False Let m = 431 + -472. Let y(o) = 3*o**2 - 41. Let a be y(0). Is a != m? False Let j(u) = 342*u + 2055. Let r be j(-6). Do r and -0.38 have different values? True Let s be (1/(-3) + 0)*(-4 + 13). Let w = s - -3. Which is smaller: -1/147 or w? -1/147 Suppose 0 = -1914*r + 1909*r. Is 13/617 at most r? False Let i = 130 + -128. Suppose -4*m = i*m + 156. Which is smaller: m or -27? -27 Let w = -35 - -29. Let c be 2 - 0/(-1) - (w + 5). Suppose c*n - 14 = -3*a - 5, -2*a + 18 = -4*n. Which is greater: 11 or n? 11 Let k(l) = -15*l + 644. Let p be k(43). Which is bigger: p or -27/170? -27/170 Let i = 27.61 + 1152.39. Is i smaller than -0.05? False Suppose j - 5*a - 63 = 0, 4*j - 162 = -0*j + 2*a. Let l = 748 - 33. Let g = -676 + l. Is j at least as big as g? False Let z be (-9 + (-291)/(-33))/(-1). Which is smaller: z or 662? z Let f be 1 - ((-44)/55)/((-2)/(-5)). Suppose -20*v - 187 = -f*v. Which is smaller: -8 or v? v Suppose r + 907 = 2*o + 4*r, -5*o + 2285 = 4*r. Suppose 9*b - o = 106. Is b equal to 64? False Let d be (-9)/3*(-3772)/1708. Let f = 12/61 - d. Suppose 2*s = -31 + 19. Is f greater than s? False Suppose -5*t + 5*v + 575 = 10*v, v - 587 = -5*t. Suppose -17*c - 69 = t. Suppose 6*q - 2*q + 5*b + 47 = 0, 28 = -2*q + 2*b. Is q != c? True Let i be 0/(4 - (1 - -6)). Are 42/1343 and i equal? False Let t be (-12)/9*(13/(-52) + -2). Are -134 and t equal? False Let w = -1162.7 - -44.7. Let u = w - -1118. Let j be 1 - 1/(-2) - 0. Which is smaller: u or j? u Let j = 786 + -768. Which is smaller: j or 19? j Let o be 1/((-3)/105)*-4. Suppose -3*z + 140 = -4*t, 5*z - 2*z = -4*t - o. Suppose 63*w = 58*w + q - 7, 0 = 3*w + 4*q - 5. Is w greater than or equal to t? True Let o be (2/(-18098))/((-2)/(-4)). Which is smaller: o or -1? -1 Let p(x) = 22*x**3 + 133*x**2 - 5. Let f be p(-9). Which is greater: f or -5271? f Suppose -10*m + 26 = 3*m. Let j be 25/(-100) + 191/(-4) + m. Which is smaller: j or -2? j Suppose -2*k - 14 = -2*p, 5*p - 451 = -416. Which is greater: k or -1/11785? k Suppose 5*g = -3*y + y - 322, -5*g - 3*y - 318 = 0. Let x be ((-10303)/3 - -3)/(g/9). Let v = x + -469. Which is smaller: -1 or v? v Let j be (-80)/10 + 9 + (-10908)/(-6). Are 1820 and j non-equal? True Let v(x) = -2*x - 14*x**2 + 31 + 14*x**2 + 8 - x**3 + 17*x**2. Let k be v(17). Suppose k*z + 24 + 62 = 2*n, -3*n + 120 = -3*z. Is n not equal to 37? True Let n = -414/17 + 52/51. Let h = -571.19 + 569.19. Which is smaller: n or h? n Let s(i) = -756*i**3 + 15*i**2 + 28*i - 8. Let c be s(-2). Is 6044 < c? Fals
{ "pile_set_name": "DM Mathematics" }
ive of 68 - i*v**5 - v**6 - 35 - 2*v**2 + 2*v**5 - 24 wrt v? -120*v**3 - 180*v**2 Let b(i) be the third derivative of 0*i**4 + 0*i + 0*i**3 + 0 + 1/4*i**6 - 43/12*i**5 + 69*i**2. Find the third derivative of b(y) wrt y. 180 What is the derivative of 1540*v + 2096*v**2 + 375*v**2 - 1273 - 1540*v wrt v? 4942*v Let v(q) be the third derivative of 0*q - 11/24*q**4 + 1/2*q**6 + 28*q**2 + 2 + 0*q**3 + 1/30*q**5. What is the third derivative of v(h) wrt h? 360 Let p(q) be the third derivative of -847*q**6/20 + q**5/60 - q**4/6 + 13*q**3/2 - 1232*q**2 - 1. What is the third derivative of p(u) wrt u? -30492 Let v(q) = -4058*q**5 + 2951*q**2 + 3*q - 6. Let f(b) = -8115*b**5 + 5902*b**2 + 5*b - 10. Let a(u) = -3*f(u) + 5*v(u). Find the third derivative of a(c) wrt c. 243300*c**2 Let q(l) be the third derivative of -1489*l**6/60 - 1175*l**5/12 - 13*l**2 - 4*l + 24. What is the third derivative of q(p) wrt p? -17868 Let k(l) = -2*l**3 + l**2. Let n(f) = 34*f**3 - 4*f**2 - 79. Suppose 0 = -12*t + 11*t + 1. Let x(z) = t*n(z) + 4*k(z). Find the first derivative of x(a) wrt a. 78*a**2 Let w(o) be the second derivative of 603*o**5/10 + 275*o**4/4 - 1078*o. What is the third derivative of w(u) wrt u? 7236 Suppose 0 = -7*q - 16*q + 69. What is the second derivative of 3*j - 6*j - 59*j + 28*j - 135*j**q wrt j? -810*j Let x(j) = -2*j**4 - j**3 + j**2 - 1. Let i(n) = 326*n**4 - n**3 + n**2 - 202*n - 1. Let y(k) = 3*i(k) - 3*x(k). What is the second derivative of y(d) wrt d? 11808*d**2 What is the third derivative of -74*p**3 - 1983*p**3 + 655*p - 4*p**2 + 928*p**3 wrt p? -6774 Let t(n) be the first derivative of -5*n**3/3 + 62*n**2 - 2042*n - 1202. Differentiate t(b) wrt b. -10*b + 124 Let n(q) = -q + 1. Let w = -46 + 47. Let x(f) = 104*f + 283. Let z(i) = w*x(i) - 4*n(i). Differentiate z(y) with respect to y. 108 Suppose 7212 = -85*u + 97*u. Find the third derivative of 296*h + 305*h - u*h + h**3 + h**5 + 303*h**2 wrt h. 60*h**2 + 6 Let o be (-1162)/(-22) - (-8)/44. Let m = o + -50. What is the second derivative of -16*x + 12*x**m - 31 + 13 + 18 wrt x? 72*x Let n(o) be the third derivative of 19*o**6/15 + o**5/12 + 34*o**3 + 3*o**2 + o - 183. What is the third derivative of n(z) wrt z? 912 Let t = -110 - -114. Let u be ((-6)/t)/((-7)/14). Find the second derivative of -1398*g**2 + 34*g + 1398*g**2 + 17*g**u wrt g. 102*g Let k(q) be the third derivative of -13*q**9/504 - 3*q**8/28 - 169*q**5/20 - 1103*q**2. What is the third derivative of k(p) wrt p? -1560*p**3 - 2160*p**2 Suppose 26 = 5*p - 4*j, 0*p + 6 = p - j. Find the third derivative of 12*o**2 + 72*o**3 - 32*o**2 - 54*o**p wrt o. 432 Suppose 5*q = 17 + 13. Suppose h - q = -0*h. What is the third derivative of 7*p**6 + 6*p**6 - p**2 - 7*p**h wrt p? 720*p**3 Let z(h) = -h**3 + 4*h**2 + 7*h + 5. Let s be z(-2). Let o be 2/(-3)*s/(-35)*7. Find the third derivative of 0*f**2 - 6*f**4 + 0*f**o - 3*f**2 wrt f. -144*f What is the second derivative of 10606692*g**3 - 80*g - 10606692*g**3 + 149*g**4 wrt g? 1788*g**2 What is the second derivative of -709*v + 406*v**2 + 501*v**2 - 1 + 55*v**2 - 223*v**2 + 648*v**2 wrt v? 2774 Let b be 5 + 30 + (-11 - -15). What is the second derivative of 132*r + 4*r**2 + 12*r - b*r**4 + 63*r + 10*r**4 wrt r? -348*r**2 + 8 Suppose 4*l - 6 = g, -1037*g - 2*l = -1040*g + 32. Let k(o) be the first derivative of g*o - 13/2*o**2 - 1. Differentiate k(f) with respect to f. -13 Suppose -2*v + 0 + 290 = 4*l, -308 = -4*l + 4*v. Find the third derivative of 986*a**4 - 986*a**4 + 77*a**6 + l*a**2 wrt a. 9240*a**3 Let s(c) = 5 + 9*c + 7*c**2 - 14*c - c**3 + 5*c. Let m be s(7). Find the second derivative of -3*g - 5*g**m + g + 19*g**5 wrt g. 280*g**3 Suppose 34*a - 739 + 603 = 0. Let p(x) be the second derivative of 0 - 36*x + 13/6*x**a + 3*x**3 + 0*x**2. Find the second derivative of p(n) wrt n. 52 Suppose 0 = -20*a + 15 + 25. Find the third derivative of -20 - 2*d**a - d**2 - 8017*d**4 + 8107*d**4 wrt d. 2160*d What is the second derivative of 88 - 4*g - 4980612*g**2 + 4980612*g**2 + 141*g**3 wrt g? 846*g Let b(z) be the third derivative of -358*z**7/21 + 2029*z**3 + 10*z**2 - z + 306. Differentiate b(i) wrt i. -14320*i**3 Suppose 132 = 2*r - 4*f, -r - 38 + 113 = f. Let l = 74 - r. Find the first derivative of -19*k**l - 15*k + 15*k - 7 wrt k. -38*k Find the third derivative of 124*b**2 - 651*b**5 + 395 + 636 - 1024 - 2768*b**5 wrt b. -205140*b**2 Let q = -192 + 220. Find the first derivative of -21*c - q - 54*c - 3*c wrt c. -78 Let q(w) = -164*w + 1480. Let l be q(9). Let a(d) be the second derivative of -d**l + 0 + 0*d**2 - 7/6*d**3 - 4*d. Find the second derivative of a(j) wrt j. -24 Let y = -31853 - -31853. Let j(z) be the first derivative of 0*z**3 + y*z**4 - 29 - 34/5*z**5 - 2*z + 0*z**2. What is the derivative of j(q) wrt q? -136*q**3 Let j(p) = -490*p**5 - 47*p**4 + 3*p**3 + 15294*p**2 + 22*p. Let l(s) = -s**5 + 2*s**4 - s. Let g(m) = -j(m) - 22*l(m). Find the third derivative of g(k) wrt k. 30720*k**2 + 72*k - 18 Find the third derivative of 3454*p - 10*p**3 - 6948*p**2 + 3389*p + 190*p**4 - 6843*p wrt p. 4560*p - 60 Let s(l) be the third derivative of l**9/252 - 5*l**8/42 + l**6/60 - l**5/20 + l**4/12 + 2*l**3/3 + 6*l**2 + 84*l + 2. Find the third derivative of s(y) wrt y. 240*y**3 - 2400*y**2 + 12 Let a(b) be the second derivative of -23*b**4 - 553*b**3 + 2330*b. Find the second derivative of a(m) wrt m. -552 Let g(s) be the second derivative of -s**4/12 + 121*s**3/3 - 1235*s**2/2 - 1146*s + 1. Differentiate g(o) wrt o. -2*o + 242 Let u = 47 + -44. What is the third derivative of -9*a**3 - 6*a**3 - 25*a**2 - 5*a**3 + 19*a**u + 10*a**4 wrt a? 240*a - 6 Suppose -2*v + 2*c + c = -13, 3*c + 29 = 4*v. Let x(l) = 2*l**2 + 2*l - 1. Let g be x(1). Differentiate -v*b - 12*b + g*b - 14 - 8*b wrt b. -25 Suppose 2*s = 2*q - 16, -2*q + 4*s + 21 = s. What is the third derivative of 147*k**2 + 30*k**2 - 87*k**q - 9*k - 4*k + 13*k wrt k? -522 Find the second derivative of 28*f**2 - 2*f - 23*f**2 - 165 + 946 + 19*f**2 + 32*f**2 wrt f. 112 Find the first derivative of 46*w + 43*w + 1529*w**2 + 1939*w**2 + 1139 - 91*w + 614 wrt w. 6936*w - 2 Suppose -2*j - 5*c = -24, -5*c = -3*j - 0*c - 14. What is the second derivative of -16*p + p + 39*p - 30*p**j + 22*p wrt p? -60 Let a(m) = 6*m**4 - m**3 + m**2. Let x(d) = 140*d**4 + 10*d**3 - 448*d**2 - d - 2. Let t(l) = 7*a(l) + x(l). Find the third derivative of t(q) wrt q. 4368*q + 18 Let d(y) be the third derivative of 335*y**6/24 + 2*y**4/3 - 14*y**3/3 - 702*y**2. Find the second derivative of d(j) wrt j. 10050*j Let g(l) be the second derivative of -389*l**6/15 - 32*l**3/3 + 2*l**2 + 432*l + 1. Find the second derivative of g(y) wrt y. -9336*y**2 Suppose 37*j = 35*j. Suppose 2*c - 24 = -j*c. What is the derivative of 25*f + c - 20*f + 26*f wrt f? 31 Let z(b) be the first derivative of 3*b**5/4 + 20*b**4/3 - 5*b - 57. Let v(y) be the first derivative of z(y). What is the third derivative of v(m) wrt m? 90 Let g be (-1 - -3)/(16/40). Let j(l) = l**3 - 11*l**2 + 15*l - 13. Let h be j(10). What is the second derivative of 3*w**g + 42*w + 6*w**5 - h*w wrt w? 180*w**3 Let p(b) = 2763*b**4 - 18*b**2 + 2817*b. Let k(n) = 2*n**2 - 2*n. Let t(w) = -9*k(w) - p(w). Find the second derivative of t(m) wrt m. -33156*m**2 Let f(d) = 15113*d**2 + 20*d - 178. Let v(y) = 15141*y**2 + 17*y - 177. Let m(r) = 5*f(r) - 6*v(r). Find the second derivative of m(j) wrt j. -30562 What is the first derivative of -1111 - 39*c - 1165*c**4 + 39*c - 154 + 328 wrt c? -4660*c**3 Let n(b) be the third derivative of -1/3*b**3 - 3/4*b**5 - 52*b**2 + 0 + 0*b - 2/3*b**4. What is the second derivative of n(w) wrt w? -90 Let h(b) = b**2 + 65*b + 1091. Let d(o) = -4*o**2 - 319*o - 5454. Let t(j) = 2*d(j) + 11*h(j). What is the derivative of t(f) wrt f? 6*f + 77 Let o(r) be the third derivative of -775*r**8/168 + 397*r**5/12 - 3*r**2 + 123*r - 2. Find the third derivative of o(f) wrt f. -93000*f**2 Let y(n) be the first derivative of -45*n**4/4 - 86*n**3/3 - 2*n**2 - 934. Find the third derivative of y(d) wrt d. -270 Let c(d) be the second derivative of -2237*d**7/14 - 5041*d**4/4 + 11936*d. Find the third derivative of c(n) wrt n. -402660*n**2 Let p(m) be the second derivative of 4189*m**8/56 + m**4/1
{ "pile_set_name": "DM Mathematics" }
**7)**(3/26)*(q**1*q/(q*q**(-1/4)*q*q))**43 assuming q is positive. q**(-1761/52) Simplify (((p/((p/(p/(p**(2/3)/p)))/p)*p)**(-2/3)*p/p**(-2/7)*p**(-7/5)/p)**(14/11))**1 assuming p is positive. p**(-2102/495) Simplify (((k**(-2))**(-23)/((k**8*k)/(k*k**(2/7))))**(1/43))**(-33/7) assuming k is positive. k**(-8844/2107) Simplify f*f*f**(-1/5)/f*f**2*f*f**1*f**6*f**(-4)/(f*f*f**(-4)/f)*(f*f**(-2/7))/(f*f**(-1/4)*f) assuming f is positive. f**(1227/140) Simplify ((((h/(h*h**2))/h)/(h**(-2)*h))/((h/h**1)/h**(-6)))/((h*h/h**1*h)**(-17/3)/(h/h**(-2/3))**(-18)) assuming h is positive. h**(-80/3) Simplify ((t/(t**2*t))**(-18)/(t**2*t/((t/(t/(t**15/t)*t))/t)))**(14/3) assuming t is positive. t**210 Simplify ((h**(-2)*h)/h*h)**15*h**5*h**(-6)/h*(h**8/(h*(h/h**(3/2))/h))/(h/((h*h**0)/h)*h**(-5/3)) assuming h is positive. h**(-47/6) Simplify (((k*k*k/k**(2/13)*k*k**1*k)/(k**(-1))**(-3/4))**(-17))**(-4/41) assuming k is positive. k**(4505/533) Simplify (r/r**(9/5)*r**(-5/6)*(r*r**(-5)/r)/r*r/(r*r**(-17)))**(-1/8) assuming r is positive. r**(-281/240) Simplify ((z*z/z**(-1))**(-1/8)*(z*z/(z**(-1/2)/z))**(-35))/(z**3/(z*(z**(1/4)/z)/z))**(11/2) assuming z is positive. z**(-287/2) Simplify (i**(-1/16)*i*i**(-5)*i)**(-16)*((i*i*i**(1/3)*i)**(-40))**32 assuming i is positive. i**(-12653/3) Simplify (d**4/(d/(d*d*d**1/d)))/(d**(-6/11)/((d*d**3)/d))*(d**11/(d*d*d**(-1)))**(2/19) assuming d is positive. d**(2006/209) Simplify ((f*((f*(f*f**(-36)/f)/f)/f*f*f)/f*f**48*f)**(22/3))**25 assuming f is positive. f**(7700/3) Simplify (s/(s*s**(-1)))**30/(s*s*s**(1/3)*s*s)**34*((s/s**3)/(s/((s*s*s**(-2)*s*s)/s)))/((s/s**1)/s**(-2)) assuming s is positive. s**(-364/3) Simplify ((a/(a*(a/(a**21/a))/a)*a*a*a/(((a*a**(-2/7))/a)/a))/(((a*a**21)/a*a)/a**(-1/5)))**16 assuming a is positive. a**(1168/35) Simplify (z/((z**5*z*z)/z)*z**0)**(-24)*((z*z*z**(1/2)*z*z)**(8/7))**(-38) assuming z is positive. z**(-528/7) Simplify ((z**(-1)/z)/(z/(z*(z*z*(z*z*z**(-3))/z*z)/z)*z))/(z**(1/8)*z*z*(z**(1/5)/z)/z*z*z)*(z**(1/2))**(-21/4)/(z**(-1/3)*z*z*z**0) assuming z is positive. z**(-577/60) Simplify ((i*i**(-3/17)/i*i)**(2/41)/(i/(i/(i/(i/i**(-14)*i)))*i)**(-2/35))**(-42) assuming i is positive. i**(111216/3485) Simplify (((r**1*r)**(-3/20)/(r*r/(r*r**0))**(-2/35))**(3/23))**(-32) assuming r is positive. r**(816/805) Simplify ((m**(1/3))**(6/7)*(m**(-16)*m)/m**(1/3))**(-1/14) assuming m is positive. m**(158/147) Simplify (p/((p/p**(-5/4)*p)/p)*p/p**0)**(16/7)*p**(1/6)*p*p**(3/7)*((p**(1/6)*p)/p*p)/(p/p**(-4)) assuming p is positive. p**(-59/21) Simplify (c*c**(1/19))/(c*c/c**(-3/43)*c*c)*c**(7/4)*c*c/(c*c**(-25/4)) assuming c is positive. c**(4888/817) Simplify ((m/m**(-1))**(-14/11))**(-46)*(m/m**(3/2))/(m*m*m**(2/11)*m)*m**5*m**4*m assuming m is positive. m**(2715/22) Simplify (b**7/b*b**(2/7))**(-1)/(b**(-6)*b**(-3)*((b**(-1)/b)/b)**(8/5)) assuming b is positive. b**(263/35) Simplify ((d/(d/(d/d**(1/3))*d))**(2/13)/(((d**(-1/4)*d)/d)/d)**(-2/45))/(d*d**(1/4)*d**(-7/2))**25 assuming d is positive. d**(26275/468) Simplify (o**(-1/4))**(20/9)/(o*(o**(1/4)*o)/o*o*o**(1/6))*((o**(-3)/o)**(1/14))**42 assuming o is positive. o**(-539/36) Simplify ((x**(3/7)*x)**(2/3)*(x/(x*(x/x**(-2/5))/x))**42)**(-14) assuming x is positive. x**(3328/15) Simplify i*i/(i/(((i*i**(-1/2))/i)/i*i))*i*i**(3/2)*(i**(-2/7))**(1/3)*(((i*i*i**(-2/25))/i)/i**(2/9))/(i/i**(2/3))**(-16/9) assuming i is positive. i**(19822/4725) Simplify (b**(-10)*b*(b*b**(2/13))/b*b*b*b**(-3)*b**18)**(-12) assuming b is positive. b**(-1272/13) Simplify (t**(1/4))**(-1/4)/((t/(t*t*t**(-5)))/t**3)*(((t*t**(1/2))/t*t)/t*t**(1/3))/((((t**3/t)/t)/t)/(t**(1/6)*t)) assuming t is positive. t**(15/16) Simplify (r**(-5)*r**(-9)/r*r)**(-39)*(r**(-2/13)/r*r**(1/7)/r)**(-6/13) assuming r is positive. r**(647016/1183) Simplify (((s*s**(-3/11)*s**7)/((s/(s*s**(2/5)*s*s))/s**4))**26)**(1/7) assuming s is positive. s**(2886/55) Simplify (z**(-42))**(-41)/((z*z/z**(-35)*z*z)/(z/((z*(z/z**(-44))/z*z*z)/z))) assuming z is positive. z**1638 Simplify (((t**(-20)*t)/((t/t**20)/t))/(t**6*t/(t/t**25)))**50 assuming t is positive. t**(-1500) Simplify ((r*r**6*r**(-8))/(r**7/(r/(r*r**(-2/5)))))/((r/r**(5/4))/r**(-11))**(15/11) assuming r is positive. r**(-4897/220) Simplify (k**(5/8)*(k*k**(-7/6))/k*(k*k**(3/2)*k)/k**(-5/4))**(-1) assuming k is positive. k**(-101/24) Simplify (((u**(2/7)/u)**21/((u/(u*u*u*u/(u*u**(2/7))*u))/u*u)**(-3/29))**(-5/19))**(-8/15) assuming u is positive. u**(-8272/3857) Simplify (((c/(c**(-2/5)/c*c))/c**22)/((c*(c/(c*c/(c*c**(-8/11)/c)))/c)/c*c/(c/c**(-21))))**(-39/4) assuming c is positive. c**(-1677/55) Simplify ((q*q**(-2/3))**21)**(1/4)/((q/q**(-1/3))**3/((q/q**6)/(q*q*q**(-3)*q*q*q))) assuming q is positive. q**(-37/4) Simplify ((u**2/(u*u*u/((u*u*u**(-14)*u)/u)*u))/(u*u*u*u*(u*(u/((u*u*u**(-3))/u))/u)/u*u)**(2/3))**(3/4) assuming u is positive. u**(-14) Simplify (((c**27)**(1/4))**12)**(1/9) assuming c is positive. c**9 Simplify ((v**15/(v/((v*(v*v**2)/v)/v)))/((v*v**19*v*v*v)/v**(-10)))**(-7/3) assuming v is positive. v**(119/3) Simplify ((j**(-3)/j)/j*j*j*j**(-13))**(-21)/(j**12*j/j**(-5))**(-29) assuming j is positive. j**858 Simplify (t*t*t**(2/5)*t*t/(t*t**1*t*t))**(5/6)*t**2/(t*t**(-3))*(t*(t**5*t)/t)/((t/t**(4/3))/t) assuming t is positive. t**(35/3) Simplify (y/(y*y*y/(y*y/(y*(y*y**(-16)*y)/y)))*y/(y**(-2/25)/y)*(y**5)**(6/17))**(-48) assuming y is positive. y**(-364032/425) Simplify (o**(-7)*o*o**(-5))**(-3/13)*((o*o**(-7))/(o/o**(-6)))**(-34) assuming o is positive. o**(5779/13) Simplify ((m*m*m/(m**3*m))/m**(-1))/(m*m**(2/3)*m)**(26/5)*(m**(-9)*m**9)**(-10) assuming m is positive. m**(-208/15) Simplify (f**(2/5)*f**(11/3)*f**15*f*f**(-3/5))**13 assuming f is positive. f**(3796/15) Simplify ((t/((t*t**(-21))/t*t))/t*t**(-1/63)/t*((t*t**27)/t)**(1/16))**(-20) assuming t is positive. t**(-104185/252) Simplify (c**0/(c**6*c)*(c**0/c)**(-39))/(c**(-1/2)/c**(2/5))**3 assuming c is positive. c**(347/10) Simplify (a*a**5*a**0)/((a*a/(a**(-1/3)/a))/a)**14*((a*a/(a/(a**0/a)))**(-1/16))**(-27) assuming a is positive. a**(-80/3) Simplify ((((r*r/(r/(r/(r/r**(2/23)*r))*r*r*r))**(-12/7))**(36/11))**(-32))**(-20) assuming r is positive. r**(18524160/1771) Simplify (d**1*d*(d/(d/(d**(-5)*d)))/d*((d*d**7)/d*d)/d*d**(-2/17))/((d**(-1/11)*d*d)/(d*d**0/d)*d**1/(d**(-3)*d*d)) assuming d is positive. d**(-5/187) Simplify ((((m**(-2/43))**42)**(2/11))**(-2/3))**17 assuming m is positive. m**(1904/473) Simplify (d**(-6)/d*d**(-6))**13/((d*d**(-1/2)*d)**(-14))**(-18/5) assuming d is positive. d**(-1223/5) Simplify (l*((l/(l/(l*l**(-4)*l))*l)/l)/l*l*l*l**(-3/8)/l*l)**(17/3)/((l/(l/(l/(l/l**(5/8)))))/l**15)**(-7) assuming l is positive. l**(-411/4) Simplify (p**0*p*p**(-3/4))**(5/13)*(p/p**(-1/2)*p)**(21/5)*((p**(-1)*p)/p)/p*p**(5/4)/p assuming p is positive. p**(115/13) Simplify ((r**3*r/(r*r/r**6*r)*r)/((r/r**(-1/6))/r*r**5))/((r*r*r/((r/(r**0*r))/r)*r)**(-14)*r**5*(r/(r/(r**5*r))*r*r)/r) assuming r is positive. r**(365/6) Simplify (((o*o/(o/o**(-2/11)*o)*o**(1/9))**(-19/4))**(-1/10))**(-2) assuming o is positive. o**(133/1980) Simplify ((q*q**(-1)*q**(2/11)*q)/(q**(-1/5)*(q**(3/5)*q)/q*q))/((q**(-1/2)*q)/q**2*q**(1/4)/q**7) assuming q is positive. q**(1767/220) Simplify ((v**(1/3)/v)**19)**(-2)*((v**(2/9)*v)/v**4)**(-28) assuming v is positive. v**(928/9) Simplify ((o**(-1/3)*o)/o)**(-1/3)/(o/((o**(2/3)/o)/o*o))**(-1/45)*(((o*o**(-2))/o)/o)**(-12/5)*((o/(o**(-2)*o*o)*o*o)/o)**(-6/13) assuming o is positive. o**(11263/1755) Simplify (((f*(f/f**(1/5))/f*(f**5*f*f*f)/f)/(f/(f/(f/(f**(-2/7)*f)))*f/(f/(f**(1/9)/f))))**42)**35 assuming f is positive. f**(37058/3) Simplify (p**48)**(-3/13)*(p**(4/3)*p)**(1/10) assuming p is positive. p**(-4229/390) Simplify (g/g**(-2))/(g/g**6)*g**(-2/3)*g**0*g*(g**(-8)/(g*g*g**(-8/5)))**38 assuming g is positive. g**(-4663/15) Simplify ((t/(t*t**(-2/29)/t)*(t**(2/107)/t*t)/t)/((t**(-8/5)*t)/t)**(4/5))**37 assuming t is positive. t**(3925552/77575) Simplify ((w**(-5))**35*((w/(w**(1/33)/w))/w)/w*w**10)**(-20) assuming w is positive. w**(108920/33) Simplify ((((w**(-2/7)/w*w)/w)/w)/w**(2/9))**(27/2)/(w**8/w**8)**(-2) assuming w is positive. w**(-237/7) Simplify (u**(-1))**(4/11)/(u/(u*u**(-1/4))*u*u)**2*((u/(u/u**6)
{ "pile_set_name": "DM Mathematics" }
d 30? 1080 Let n be ((-2)/(-6) - -1) + (-926)/96. Let k = n + 2365/144. Find the common denominator of -137/18 and k. 18 Suppose 64 - 47 = -17*o. What is the common denominator of -91/12 and (103 + -2)/(30*o) + 3? 60 Let y be ((-28)/7 + 3)/(1/(-24)). Suppose y = 9*v - 3. Suppose s - 27 = 2*p - 3, v*s + 5*p = 39. Calculate the least common multiple of 16 and s. 144 Let g(f) = -f**3 - 2*f**2 - 6*f + 1. Let i be (-2)/4 + 91/14. Let z be -6*(3/i + 0). Calculate the smallest common multiple of 20 and g(z). 140 Let l(f) = -f**3 + f**2. Let i(g) = -5*g**3 - 7*g**2 + 10*g - 8. Let x(r) = -i(r) + 6*l(r). Calculate the least common multiple of x(12) and 48. 96 Let f(o) = 7*o**2 - 2*o - 2. Let d be f(3). Suppose -d + 19 = 4*m. Calculate the least common multiple of 44 and 10 + 0 + 1 + 12 + m. 308 Let t(h) = 7*h + 28. Let z be t(-4). Calculate the smallest common multiple of 9 and (-60)/(-8)*(8 + 4) - z. 90 Let o = -176410/9 + 19596. Find the common denominator of -38/273 and o. 819 Let j be 28/6*(270/7)/(-3). Calculate the common denominator of -20/3 and (2/(j/(-81)))/(1104/(-20)). 552 Let v = -90 - -95. Suppose -3*m + 7 = z, -v*z + 2*m + 86 - 34 = 0. What is the least common multiple of 100 and z? 100 Suppose 4*j + 3*n - 126 = n, 4*n - 159 = -5*j. Let p be (36/8)/(1/6). Suppose 17 = 4*s - p. What is the least common multiple of s and j? 341 Suppose -2*i - 8 = -0, i - 77 = -3*k. Suppose 21 = g - k. What is the least common multiple of 16 and g? 48 Let i(p) = -8*p + 99. Let y be i(12). Suppose 0 = z - y*l - 4, 0 = -2*z + 2*l + 2*l + 12. Calculate the least common multiple of 18 and z. 90 Let g(r) = r**2 - 5*r - 2. Let a be g(6). Suppose 2 = -a*h + 98. What is the common denominator of -14/3 and 0 + (-25)/(-3)*16/h? 9 Let y = -1214 - -76541/63. Calculate the common denominator of y and 1*2 + (-1100)/1386. 63 Let h = -1/1894 - 44032/6629. Let g = 793 - 967. Calculate the common denominator of h and (-61)/35*203/g. 210 Let d = -31/18 - -2077/1530. What is the common denominator of -44/1921 and d? 9605 Let v be 5/10*(5 + -1). Suppose -3*f = k - v, 0 = 8*k - 3*k - 4*f - 29. Suppose 0 = -k*j + 3*j + 18. What is the least common multiple of 27 and j? 27 Find the common denominator of ((-207)/(-1305))/((-6)/(-8)) and 40/3. 435 Suppose -48 = 13*h - 19*h. Suppose 3*u - h = 2*u - f, 0 = -2*u + 4*f + 16. What is the lowest common multiple of 10 and u? 40 Let f = 230 + -192. Find the common denominator of (196/66)/(f/(-57)) and 77/2. 22 Suppose -4*k + 12*k - 72 = 0. Find the common denominator of -47/4 and (354/72 + -5)/(11/k). 44 Let p = -1002/25 + 23469/550. What is the common denominator of p and 10 + 19/(-760)*445? 88 Let g(o) = -14*o - 71. Let i be g(-5). Calculate the common denominator of 89/40 and (155/50*i)/4. 40 Let s = 26 + -35. Let g = -19 + s. What is the least common multiple of 120/14 + (-12)/g and 6? 18 Suppose 66 = 333*g - 330*g. Calculate the lowest common multiple of g and 262. 2882 Let r(w) = 12*w**2 - 153*w - 774. What is the lowest common multiple of 6 and r(-5)? 582 Let k = -15/793 - 20661/39650. Find the common denominator of (-45)/350 - 4/28 and k. 350 Calculate the common denominator of (-329)/36 + (0 - -8 - 1) and 29/24. 72 Let w = 19885 + -2505385/126. What is the common denominator of w and 1122/255 + -10*(-27)/(-18)? 630 Let r = 27269 - 26933. What is the lowest common multiple of 16 and r? 336 Let l(d) = 27*d**2 + 132*d - 10. What is the lowest common multiple of l(-5) and 534? 2670 Calculate the common denominator of (-357)/(-242) - 35/21 and 20/1331. 7986 Let s be 30774/(-126)*(-57)/2. Let g be (-4)/34 - ((-709728)/102 - 10). Let j = g - s. What is the common denominator of -107/12 and j? 84 Suppose -2*c - 5*f = -177, -c = -0*f + 2*f - 90. Suppose -66 = 6*h - c. What is the lowest common multiple of h and 175? 175 Let x(c) = c - c**2 - 4*c + 1 + 13 + 6*c. Let o be x(5). Suppose -2*u - o*d + 88 = 0, 3*u - 113 = 4*d + 19. What is the lowest common multiple of u and 44? 44 Suppose -3*z + 54 = -12*z. Calculate the smallest common multiple of 75 and 0 + 2 - (-4 + (-3 - z)). 75 Suppose 280 = -125*v + 145*v. Suppose 23 = -3*s + 47. Calculate the lowest common multiple of v and s. 56 Suppose -239147 = 5*n + 2*k, -n + 143490 = -4*n - 3*k. Let d = 240023/5 + n. Let l = 5843/30 - d. What is the common denominator of -27/8 and l? 24 Suppose -147936 = -273*g - 39828. Calculate the least common multiple of 484 and g. 4356 Let g be ((-19598754)/(-16620))/((5 - -7915)/6). Let o = g - 1/48752. What is the common denominator of 36 and o? 75 Let c(r) = r**2 + 1. Let s be c(2). Suppose 2*d + 3*u - 786 = 7*u, -d - s*u + 400 = 0. Calculate the common denominator of d/175*5/4*2 and -9/28. 28 Let i(d) = -d**3 + 22*d**2 - 20*d - 11. Let v be i(21). Let o(n) = 4 + 9*n**2 + 12*n - 8*n - n**3 + 7*n. Calculate the least common multiple of o(v) and 12. 84 Suppose 8*n + 14420 = 3*n. Let q be n/(-176)*(-2070)/(-21). Let u = 1616 - q. Calculate the common denominator of -67/2 and u. 22 Suppose 4*v + 0*d = -3*d - 1824, -2*v - 912 = 5*d. Let l = -396 - v. Calculate the lowest common multiple of l and 216. 1080 Let x = -17395/408 - -734/17. Find the common denominator of 107/208 and x. 624 Let z = -2/32921 - -955645/15407028. Calculate the common denominator of -73/312 and z. 936 Let c(o) = -4*o + 34. Let k(p) = -p**3 + 16*p**2 - 29*p + 9. Let h be k(14). Calculate the least common multiple of c(h) and 18. 54 Let a = -122097 + 70327847/576. What is the common denominator of a and -71/144? 576 Let h be (-30453)/(-20) + 0 - 30/(-40). Let q = h - 1532. What is the common denominator of -22/3 and q? 15 Let i = 0 + 1. Let v be 12 + 1 + (i - 3). Suppose -8*r = -29 - v. Calculate the smallest common multiple of 20 and r. 20 Calculate the least common multiple of 19376 and (-19 + 51 - 32) + (1 - -19). 96880 Suppose 5*d - 148 = -43. Calculate the lowest common multiple of ((-28)/d)/((-6)/9) and 336. 336 Let i be (-11331)/(-36) - (10/(-8))/5. Find the common denominator of -41/10 and (4 - 1615/i)/((-18)/(-7)). 810 Suppose 210 = -18*k - 78. Let a = 3/469 + 18276/2345. Calculate the common denominator of a and k/(-4)*(-8)/64. 10 Find the common denominator of ((-3)/(-9))/(56525/(-7695)) and 41/805. 13685 Let t(q) be the second derivative of -q**5/20 - q**4/3 + 2*q**3/3 + 13*q**2/2 + q + 65. What is the lowest common multiple of t(-5) and 60? 180 Let k(q) = -2*q**3 + 79*q**2 - 184*q - 19. What is the smallest common multiple of k(37) and 1338? 4014 Let n = -3169/498 + 1259001/197540. What is the common denominator of 151/4998 and n? 49980 Let o = 12 + -9. Suppose 25 - 7 = 3*y. What is the lowest common multiple of (-70)/(-42) + 1/o and y? 6 Let h = -5 + 2. Let b be 1/4*(-2 + 49 + h). What is the lowest common multiple of 4 and 1/(-1) + (b - (-6)/(-3))? 8 Let l be 2 + 3*-1 + 405 + 2. Let w = -2057/5 + l. What is the common denominator of (76/(-80) - -2) + -3 and w? 20 What is the common denominator of 461/(-252) + (-15 - 561/(-34)) and -163/468? 3276 Suppose 5*t - 116 = o, 0*o + 3*o = -5*t + 132. Suppose -220*p = -29 - 9651. Calculate the lowest common multiple of t and p. 264 Let c = -9/1298 + -1972/649. What is the common denominator of 47/1208 and c? 13288 Let g be 3/(-1) - (-24)/3. Suppose -51 = -4*n + r, 0*n - 3*n = g*r - 67. What is the smallest common multiple of n and 4/(-18) + (-400)/(-18)? 154 Let g = -6294 - -69189/11. Let s = g + 9/2. Let v = -1871/204 + -41/17. Calculate the common denominator of s and v. 132 Let f(x) = -x**2 - 2*x + 10. Suppose -4*t = -3*i + 16, -5*t - 4*i = -2*i + 20. Suppose 45*l - 66 = 42*l. Calculate the smallest common multiple of f(t) and l. 22 Let n = -3/77 + 2027/2618. Let m = n - -317/170. Find the common denominator of m and (-188)/80*4/(-2). 10 Let v be 1 - 88*(-2)/12*-3. Let s = 53 + v. What is the lowest common multiple of 38 and s? 190 Suppose -5*l + 395 = -12*q + 10*q, -4*q = 0. Suppose -11*w = l - 442. Suppose a + 4*b = -1 - 0, -a - 5*b - 5 = 0. What is the least common multiple of a and w? 165 Suppose 1716 = -c + 4*c + 8*c. What is the smallest common multiple of 15 and c? 780 Suppose -5*o = -3*n + 20, 12 = n - o - 2*o. Suppose n = 7*i - 10*i + 36. What is the common denominator of (-4 + (-114)/15)/(i/(-9)) and 53/11? 110 Let y be 2
{ "pile_set_name": "DM Mathematics" }
+ 45*x. Let t(w) = w**2. Calculate t(r(v)). v**4 + 90*v**3 + 2025*v**2 Let o(l) = 2*l. Let y(v) be the first derivative of -v**4/8 + v**2 + 3. Let p(i) be the second derivative of y(i). Calculate p(o(s)). -6*s Let a(s) = 0*s - 23*s**2 + 0*s + 19*s**2. Let f(q) = q. What is a(f(u))? -4*u**2 Let a(u) be the first derivative of -u**2/2 + 9*u + 7. Let f(o) = o - 4. Let v(i) = -4*a(i) - 9*f(i). Let r(d) = -d**2. Determine r(v(b)). -25*b**2 Let d(w) = -22*w**2. Let c(p) = 19*p + 1. What is d(c(v))? -7942*v**2 - 836*v - 22 Let j(k) = -20*k**2. Let n(m) = -8*m**2. Let u(f) = 5*j(f) - 12*n(f). Let i(d) = -2*d. Give i(u(z)). 8*z**2 Let h(i) = -4 - i**2 - i + 0 - 1 + 4. Let n(d) = d**2 + 2*d + 2. Let c(q) = -2*h(q) - n(q). Let x(g) = -4*g. Determine c(x(v)). 16*v**2 Let a(o) = 2*o**2 + 4*o**2 - 4*o**2. Let q(u) = -44*u. Give q(a(c)). -88*c**2 Let i(n) = -n**2. Let c(m) be the first derivative of -52*m**3 + 1 - 5 + 53*m**3. Give i(c(z)). -9*z**4 Let k(f) = -f + 1. Let i(j) = -5*j + 6. Let p(x) = -i(x) + 6*k(x). Let o(n) = 10*n. What is p(o(g))? -10*g Suppose -3*l + 5*h = 12, -4*h - 3 = l + 1. Let p(a) = 7*a. Let i(v) = 6*v. Let o(s) = l*p(s) + 5*i(s). Let r(q) = 25*q. Calculate o(r(z)). 50*z Let u(m) = 225*m**2. Let j(p) = -66*p. Calculate u(j(g)). 980100*g**2 Let t(j) be the first derivative of -4 - 2/3*j**3 + 0*j + 0*j**2. Let z(s) = -s**2. Let w(y) = -2*y**2. Let h(g) = w(g) - 4*z(g). Determine h(t(a)). 8*a**4 Suppose 0 = -u, z + 4*u = -0*u + 4. Let j(q) = 3 + 0 - z*q**2 - 3. Let v(f) = -f**2. Give v(j(c)). -16*c**4 Let p(r) = r**2 - 2*r. Let q(m) = 6*m**2 - 11*m. Let v(s) = 11*p(s) - 2*q(s). Let o(d) = -2*d. Give v(o(l)). -4*l**2 Let x(a) = -a + 6. Let l(t) = 3*t - 17. Let d(v) = -6*l(v) - 17*x(v). Suppose 2*g - 8 = -2*g. Let j(f) = -f**2 + f**2 + g*f**2. Determine d(j(n)). -2*n**2 Let k(x) = -42*x - 2. Let m(b) = -3*b**2. What is k(m(a))? 126*a**2 - 2 Let b(p) = -p. Let l(j) = 6*j. Let o(w) = 2*b(w) - l(w). Let i(z) = -2*z. What is i(o(f))? 16*f Let j(d) = -2*d**2. Let c(k) be the third derivative of -3*k**4/8 + 5*k**2. Calculate j(c(g)). -162*g**2 Let d(a) = 4*a**2. Let r(w) = 5172*w**2. Determine d(r(i)). 106998336*i**4 Let x(y) = -y. Suppose 3*t + 1 = 7. Let z(v) = -15*v**2 + 8*v**2 + 5*v**t. Calculate z(x(m)). -2*m**2 Let v(g) = 3*g**2. Let c(i) = 34*i. Determine c(v(a)). 102*a**2 Let t(p) = 13*p**2. Let c(f) = -12*f + 1. Calculate c(t(h)). -156*h**2 + 1 Let j(n) be the third derivative of -n**5/30 - n**2. Let s be (-5)/(-30) - 33/(-18). Let m(a) = -4*a**2 + 3*a**s + 0*a**2. Determine j(m(x)). -2*x**4 Let n be 3/(2/(-4) + 2). Let a(m) = 2 - m**2 - m**n - 2. Let j(q) = 0*q + 3*q - 5*q. Calculate j(a(k)). 4*k**2 Let o(k) be the third derivative of 0 - 1/30*k**5 - k**2 + 0*k + 0*k**3 + 0*k**4. Let v(m) = m**2 - 4*m**2 + 3*m**2 + m**2. Calculate v(o(t)). 4*t**4 Let k(h) = 40*h - 8. Let t(y) = -1. Let w(s) = k(s) - 8*t(s). Let p(l) = -2*l. Give p(w(n)). -80*n Let p(b) = 6*b**2 + 2. Let g(i) = -4*i**2. Give g(p(m)). -144*m**4 - 96*m**2 - 16 Let u(p) = 2*p. Let g(y) = y**3 + 22*y**2 - y - 22. Let f be g(-22). Let w(b) be the second derivative of 0 + f*b**2 - 4*b - 2/3*b**3. Determine u(w(l)). -8*l Let m(f) be the first derivative of -2*f**3/3 + 51. Let j(r) = 5*r**2 + 8. Give j(m(n)). 20*n**4 + 8 Let y(q) = 1181*q. Let r(t) = -2*t**2. What is y(r(m))? -2362*m**2 Let k(q) = -172*q. Let w(u) = 3*u. Give w(k(v)). -516*v Let j(i) = 48*i. Let o(p) = 2*p**2 + 180. What is o(j(f))? 4608*f**2 + 180 Let s(o) = 3*o. Let h(v) = v**3 + 3*v**2 - 7*v - 9. Let z be h(-4). Let n(c) be the second derivative of -2*c + 0 - 1/3*c**z + 0*c**2. Determine s(n(u)). -6*u Suppose 10*d - 4 = 8*d. Let n(o) = 6*o**2 - 3*o**d + 10*o**2 - 3*o**2. Let k(s) = s. What is n(k(i))? 10*i**2 Let a = -2 - -4. Let w(u) = u**a - 3*u + 2*u + u. Let i(y) = y. Calculate w(i(q)). q**2 Let i = -2 + 4. Let n(t) = 2 + 2*t - i. Let c(s) = s. Give n(c(d)). 2*d Let h(f) = -f**2. Let n(v) be the second derivative of 0 + 0*v**2 + 7*v - 1/3*v**3. Determine n(h(m)). 2*m**2 Let x(p) = -4*p. Let j(m) = 2*m - 1 + 1 + 0*m. Give j(x(a)). -8*a Let u = 10 - 8. Let c(w) = 0*w + 3*w**2 - 7*w**u + 0*w. Let j(k) = 12*k**2 - 10. Let g(q) = q**2 - 1. Let p(m) = -10*g(m) + j(m). Give c(p(i)). -16*i**4 Let m(u) = 4*u**2. Let r(g) = g + 6. Suppose 5*c = -3*q + 28, -4*q = 3*c + 2 - 43. Let s(o) = 2*o + 11. Let x(k) = q*r(k) - 6*s(k). Give x(m(h)). -4*h**2 Let g(p) = -2. Let a(z) = -8*z**2 - 4. Let h(m) = 2*a(m) - 4*g(m). Let r(j) = j. Calculate r(h(b)). -16*b**2 Let d(h) = 4*h. Let n(g) = 5*g. Let o(k) = -4*d(k) + 3*n(k). Let q(i) = i**2. Calculate q(o(w)). w**2 Let i(z) be the third derivative of -1/12*z**4 + 0 + 4*z**2 + 0*z + 0*z**3. Let s(l) be the third derivative of l**5/60 - l**2. Determine s(i(f)). 4*f**2 Let m(j) = -2*j. Let q(p) = -4 + 2 + 4*p - 1 - 1. Let x(t) = -t**2 - 3*t + 3. Let n(r) = 3*q(r) + 4*x(r). Give n(m(k)). -16*k**2 Let o(p) = 4*p + 2. Let g(j) = -5*j - 3. Let i(w) = -4*g(w) - 6*o(w). Let l = -18 - -21. Let t(c) = c + c - l*c + 0*c. Give t(i(u)). 4*u Let d(c) = -210*c. Let v(u) = -2*u**2. Calculate d(v(f)). 420*f**2 Let a(l) = 3601*l. Let k(o) = 4*o**2. Determine a(k(q)). 14404*q**2 Let b(r) = -3*r**2 + 4*r. Let d(i) = -i**2 + i. Let p(n) = b(n) - 4*d(n). Let x(m) = -8*m. Calculate x(p(t)). -8*t**2 Let f(l) = -4*l. Let j(n) = 23*n. What is f(j(p))? -92*p Let i(w) = -w - 5. Let s(a) = 19*a**2. Determine s(i(x)). 19*x**2 + 190*x + 475 Let m(d) = -17*d + 8. Let v(b) = 35*b - 18. Let k(q) = -9*m(q) - 4*v(q). Let h(a) = -4*a**2. Give h(k(c)). -676*c**2 Let n(q) = -5. Suppose 2*g - 2 = 2*l, 10 - 3 = -2*l + 3*g. Let i(s) = s + 4. Let o(b) = l*n(b) + 5*i(b). Let m(u) = u**2. Determine o(m(v)). 5*v**2 Let g(y) = 343*y**2. Let f(u) = -2*u**2. Calculate g(f(w)). 1372*w**4 Let m(k) = 2*k**2. Let h(n) = -3 + n + 0 + 7*n**2 + 4*n - 2. Let y(p) = -8*p**2 - 6*p + 6. Let i(v) = -6*h(v) - 5*y(v). Determine i(m(z)). -8*z**4 Let r(q) = -6*q - 1. Let o be r(-1). Suppose -o*u - 15 = 5*c, -1 = -5*c + u + 14. Let z(s) = -c*s + s + 0*s. Let d(w) = -5*w**2. Give z(d(g)). 5*g**2 Let h(i) = 3*i - 6*i + i. Let d(r) be the second derivative of -2*r**4 - 7*r. Determine h(d(n)). 48*n**2 Let k(f) = -8*f. Let q(x) = 2*x**2 + 13. Determine k(q(d)). -16*d**2 - 104 Let z(w) = -11*w**2. Suppose 5*h = a - 27, a = -a - 5*h + 84. Let s(i) = -16*i**2 - 19*i**2 + a*i**2. What is z(s(c))? -44*c**4 Let g(o) = -163*o**2. Let v(n) = -3*n**2. Determine g(v(t)). -1467*t**4 Let a(u) be the second derivative of u**4/6 + 3*u. Let v(g) be the first derivative of -g**2/2 - 2. What is v(a(h))? -2*h**2 Let r(x) = -x**2. Let s(q) = -23*q**2 - 9*q + 0*q + 7*q. What is s(r(w))? -23*w**4 + 2*w**2 Let o(z) = 6*z**2. Suppose -2*u + 0 = -4. Let i(k) = -k**2 + 4*k**2 - k**u. What is o(i(s))? 24*s**4 Let f(n) = -n. Let u be 5958/45*5/2. Let l(a) = a**2 + u - 331. What is l(f(j))? j**2 Suppose c - 5 = -4. Let a(j) = 1 - c + j. Let d(w) = -2*w - w + w + 5*w. What is a(d(n))? 3*n Let g(z) = -z. Let i(y) = 7*y - 643. Determine i(g(j)). -7*j - 643 Let l(q) = -5*q. Let p(n) = 936*n**2. Determine p(l(y)). 23400*y**2 Let w(b) = -2*b. Let k(r) = r**3 + 8*r**2 + 4. Let d be k(-8). Let y(o) = 3*o - d*o + 3*o. Give w(y(l)). -4*l Let z(x) = 544*x**2. Let d(b) = b**2. What is z(d(s))? 544*s**4 Let b(l) = -2*l**2. Let w(a) = 14*a + 2. Give w(b(y)). -28*y**2 + 2 Let r(b) = -2*b**2. Let t(m) = -169*m + 1. What is t(r(v))? 338*v**2 + 1 Let r(x) be the first derivative of -x**2/2 + 22*x - 14. Let t(j) = -j. What is t(r(v))? v - 22 Let u(f) = 35*f. Let w(l) = -12*l. Let s(i) = 5*u(i) + 14*w(i). Let p(b) = -3*b. Give s(p(k)). -21*k Let c(o) = -2*o. Let v(q) = -16*q**2 - 6*q. Calculate v(c(m)). -64*m**2 + 12*m Let t(w) = -w**2 - 3*w. Let m(i) = -i. Let q(r) = 3*m(r) - t(r). Let x(j) = 233*j**2 - 119*j**2 - 119*j**2. Give x(q(p)). -5*p**4 Let s(z) = -11*z. Let o(i) = -2*i**2. Let m(l) = 7*l**2. Let v(b) = 2*m(b) + 6*o(b). What is v(s(f))? 242*f**2 Let t(g) = g**2. Let l(w) = 46*w**2 - 2*w. Let r(p) = -737*p**2 + 33*p. Let q(u) = 33*l(u) + 2*r(u). Give t(q(x)). 1936*x**4 Let o(t) = 16*t. Let x(a) = -108*a. Calculate o(x(c)). -1728*c Let c(d) = -28*d. Let y(q) = -11*q**2 - 2. What is c(y(u))? 308*u**2 + 56 Let b(v) = -37*v - 5. Let c(t) = -t. Calculate c(b(f)). 37*f + 5 Let x(u) = u
{ "pile_set_name": "DM Mathematics" }
for k. 1 Let u(z) = z - 3. Let f be u(-1). Let k be (f + 8 + -4)/(-1 + 0). Solve -i + k*i - 2 = m, 4*m = -3*i - 5 for i. -3 Suppose -538*j = -562*j. Solve 2*p = 5*m - 2, p - 15*m + 13*m = j for p. 4 Suppose 5*w - 4*f = 287, 51 = -0*w + w - 4*f. Let d = w + -53. Solve 0 = -c - y + 9, 1 = 3*c - y - d for c. 4 Suppose 12*m = 3*m - 18. Let s be 2/(-3)*((-15)/6 + m). Solve 3*a = s*d + 6*a - 3, 2*d - 3*a - 12 = 0 for d. 3 Suppose 430*g = 2259 + 1181. Solve g = -7*x + 2*x + 2*a, 2*x - 2*a = -8 for x. 0 Let d(y) = 24*y - 285. Let n be d(12). Let a = -4 - -13. Suppose -a + 18 = n*q. Solve u = q*u - 2*x, 0 = -u + 5*x + 12 for u. -3 Let v(r) = -r**3 - 2*r**2 + r + 144. Let x be v(0). Suppose 123*z = 111*z + x. Solve -u + 0*q = q + 2, 2*q + z = -4*u for u. -4 Suppose a - 3037 = -5*b, -614 = -b - 5*a + 7*a. Let k = b - 608. Solve 0 = -2*q - 3*z + 17, -13 = 2*q - k*z - 3*z for q. 1 Let g be 4*(3/2 - 1). Let y(c) = 3*c**3 + 15*c**2 + 7*c + 37. Let z be y(-5). Solve -m - 2*m + 2*p = -z, -5*m + 2*p = g for m. -2 Let w be 33/(-5)*(24/84 - 41/21). Solve 4*b = 0, -5*i + b = w - 1 for i. -2 Suppose -5*s + 10*s + u = 17, 0 = u - 2. Solve -s*i - 3*o = -o - 20, -16 = i - 5*o for i. 4 Suppose 0 = -2760*d + 2744*d + 96. Suppose p - 13 = 3*b, -p - 3*b = -3*p + 17. Solve -8 = -p*u - 4*x, 0 = -d*u + 4*u - x + 2 for u. 0 Let c(o) = -11*o + 60. Let p = 84 - 82. Suppose -4*s = p*w - 2 - 28, 0 = 4*s - 2*w - 10. Let u be c(s). Solve u = -4*z - z, -4*q + 4*z = -12 for q. 2 Let g(z) = 4*z**3 + 17*z**2 - 18*z - 13. Let b be g(-5). Solve 0 = -2*p - 0*t - b*t, 5*p - 4*t = 0 for p. 0 Suppose -8 = -3*s - 0*s + 2*j, -4*j - 4 = -4*s. Let m(r) = 0*r - 5*r - 3*r**2 + 4*r**2 - 6. Let c be m(s). Solve -3*g - 7 + 21 = y, c = 2*y - 10 for g. 3 Suppose 9*b - 27 = -3*b + 3*b. Solve b*a + 2 = -2*w, -6*a = 2*w - a - 2 for w. -4 Let v(h) = 90*h + 363. Let f be v(-4). Solve -11 - 13 = f*q - 5*t, q = 2*t - 9 for q. -3 Let b be (87/(-4))/(162/(-1728)). Let o = b + -227. Solve -j - 14 - 11 = 5*l, -l - o*j - 29 = 0 for l. -4 Let c(n) = 12*n + 106 - 13*n - 104. Let j be c(-1). Solve 0*k + 4*w = -3*k + 13, 4*w + 5 = j*k for k. 3 Let m = -384 + 384. Solve 29*s - 31*s + 8 = 0, m = 5*n + 2*s - 33 for n. 5 Let k(a) = -a**3 - 6*a**2 - 11*a - 7. Let n = 196 - 201. Let l be k(n). Solve -8*x + 3*x + f = l, -2*x - 4*f = 18 for x. -5 Suppose 29*h + 1260 = 35*h. Suppose -30*l = -0*l - h. Solve -5*y = -c + l + 9, c + 5 = -2*y for y. -3 Let b(a) = -a**2 + 12. Let x be b(0). Let m be (-4)/(x/6) - 2/(-1). Solve 4*d = -4*j - 36, m = d - 4*j - 4 - 7 for d. -5 Let a be 18 + 16/((-32)/10). Solve -w = -2*o - 10, a*o = 12*o - 3*w - 5 for o. -5 Let v(k) = k**3 + 4*k**2 + k + 33. Let p be v(-5). Let c be 2/(-5) + (-135)/(-25). Suppose -3*d + c = -28. Solve -p*f + a + 21 = 3*a, -d = -f - 2*a for f. 5 Let g(w) = -w**2 - 14*w - 20. Let c(l) = -l**3 + 2*l**2 + 29. Let s be c(4). Let d be g(s). Solve 3*f = n - d, 5*n - 6 = -f - 21 for n. -2 Let n(p) = -9*p + 3. Let w be n(-1). Suppose 13*d + w = 19*d. Solve -2*g + g + d = 0, -13 = -5*a - 4*g for a. 1 Suppose -11*d + 64 = 31. Suppose 0 = -5*g + 2*i + 4 + 6, d*g - 6 = -2*i. Solve g*x + 17 = -5*q, -2*x = -5*q - 26 - 7 for q. -5 Let k be 6/10 + (-31131)/135. Let v = k + 235. Solve 5*f = -2*g - 0*g - 12, -v*g + 20 = 0 for f. -4 Suppose -43 = -73*o + 103. Let w be 1/(-4) + 26/8. Suppose 0 = -g - 3*d + o*d - 1, -17 = -4*g + w*d. Solve -2*q + 22 = 3*u, 2*q + g = 2*u + 4 for u. 4 Suppose -9*h = 9*h. Suppose h = -33*y + 12*y + 84. Solve 0*n + 7 = 3*t + 5*n, -2*t + y = 3*n for t. -1 Let h(i) = -4*i + 1 - 6*i + 17*i + 0*i. Let q be h(0). Solve -v - 4*w - q = -17, 2*v = -3*w + 17 for v. 4 Let u(j) = -15*j**2 - 108*j - 7. Let y be u(-7). Let v = 23 + -20. Suppose 1 = -t + 4. Solve -v*g = 2*n + 21 - 5, -4*n - y = -t*g for n. -5 Suppose -2*r + 7 = 5*j, 4*j + 11 = 9*j + r. Suppose 4*o - 8 = -2*w, o = j*w - 2*o - 21. Let y = 2035 - 2030. Solve -3*u - 11 = -y*a, u + 35 = 5*a + w*u for a. 4 Let q(c) = -c**3 + 14*c**2 - 46*c + 60. Let h be q(10). Solve 0 = 4*g + 4*u - h*u + 24, -2*g - 4*u = 20 for g. -2 Let p(k) = 14*k**3 - k**2 + 3*k - 1. Suppose -11*a = -8*a - 3. Let t be p(a). Solve -2*s + 3*n = 7, 6*s - s - n - t = 0 for s. 4 Suppose 5*g = -2*z - 20, 9*g = -3*z + 4*g - 20. Let r = -56530 - -56532. Solve 0 = -5*x - 3*o - 3, -4*x - o + 3*o + r = z for x. 0 Suppose -162 = -10*f + 978. Let i = f + -112. Solve -i*k = -2*n, 0*n = -n + 3*k - 8 for n. 4 Let k be 81/(-15) - 6/10. Suppose -10 = 129*c - 130*c. Let b = c + k. Solve w - 4 = 3*y, 4 = -5*w + b*y + 13 for w. 1 Let p(v) = -17*v - 152. Let k be p(-23). Let l = 241 - k. Solve -8 = 3*q + 4*r, q - l*r = -4*q + 30 for q. 4 Let q be (-5)/(((-3630)/88)/33). Suppose 0 = 5*s - 3*s - 40. Solve s = q*d - g, 4*d - 20 = -0*g + 3*g for d. 5 Let c(b) = -b**2 - 37*b - 128. Let i be c(-4). Solve -5*n + 10 = 0, i*h - 6*n + 2 = -3*n for h. 1 Let s = -12 + 12. Suppose 14*x = 15*x - 7. Suppose 2*r + x = t, 6*t = 4*t + 5*r + 15. Solve -t*v + q - 13 = s, 0*q = -v - 3*q + 7 for v. -2 Suppose 0 = -2*b + 1 + 13. Let w be 4/b*(-70)/(-5 + -5). Let f = -6 + 8. Solve -2 = 3*k - 5*k - f*h, -w*h + 20 = 0 for k. -4 Suppose -2*a + 72 = a. Let j(g) = g**3 - 32*g**2 + g - 32. Let l be j(32). Suppose -15*u + 3*u + a = l. Solve 4*q - 2*h = h + 9, 5*h - u = q for q. 3 Let y be -6*3/6 - (-2 - 41). Let i(x) = x**2 - 44*x - y*x + 7 + 78*x. Let s be i(5). Solve -5*p - 2*h = -3*h + 29, 0 = -s*p - h - 6 for p. -5 Let q(j) = j**2 + 10*j + 1. Let x be q(-10). Let n be -9*(0 - 3/9). Suppose n*k = 3*w + 3, -2*w + 4*k - 7 + 3 = 0. Solve -g = b - w - 3, -5*g - x = b for g. -1 Let t(d) be the second derivative of d**4/12 - 9*d**3/2 + 73*d**2/2 - 99*d. Let i be t(24). Solve -4*j - h - 5 = -0, 2*j - i = 3*h for j. -1 Let m = 2265 + -2260. Solve 10 = 2*h, m*x - h = -12 - 8 for x. -3 Let i(b) be the first derivative of 12 - 1/3*b**3 - 3*b - 4*b**2. Let r be i(-6). Solve 2*w + 4*n = w + 16, -r = -3*w + n for w. 4 Let s be (-6)/9 - (-4)/(-3). Let q be -3*(s + 8/6). Let w be 4 + (2 + -2)/7. Solve -b + 1 = 0, w*v + q*b = b + 1 for v. 0 Let g be (-11 - (-20)/5)*(-9)/(-3). Let x be (g/6 - -2)*-2. Suppose 3*h = s + 10, x*s = 2*h + 1 + 4. Solve m + h = 5*o, 3*m + 12 = 2*o - 3 for o. 0 Let r = -6161 - -6164. Solve o = -3*i + 30 - 10, -4*o + r*i + 5 = 0 for o. 5 Suppose 0 = 300*l - 275*l - 100. Solve 5*y = -4*j + 17, -6*y - l*j + 14 = -4*y for y. 1 Let q be 3*(-3)/15 - 18/(-30). Let i be (-2 - q)*(0 + -1). Solve 3*x - 12 = -i*w + 7, 0 = 5*x + 5*w - 40 for x. 3 Let n be 1056/(-1232) - ((-4)/14)/((-12)/(-1002)). Suppose -10 - 8 = -m - 4*y, 3*m = -2*y + 14. Solve -2*r + m*j = 3*r - n, -4*r - 3*j + 23 = 0 for r. 5 Suppose 3*q - 5*m = 21, 5*m = 47 - 47. Let v be -2 - (1 - (0 - -5)). Solve 5*o = -v*h + q, -4*o + h = 5*h - 8 for o. 1 Let p = -486 - -334. Let b = -152 - p. Solve b = 4*k + 20, k = 2*o + 3*k + 16 for o. -3 Suppose 0 = u + 5*b - 2, -70*b + 68*b - 10 = -5*u. Solve -u*l - f = 3*f + 4, 0 = -l + 5*f - 2 for l. -2 Suppose 20 = -4*l, 8*l - 25 = -5*q + 11*l. Suppose 0 = -4*n + x, 0*x = -q*n - 4*x. Solve -3*d + 3*h - 9 = n, 2*d + d + 3*h = -15 for d. -4 Suppose 4*x + 5*h = 9*x + 2490, 0 = -5*h. Let p = x + 502. Solve -2*b - 8 = -2*a, -4*a + 8 + p = -2*b for b. -2 Let x = 35 - 31. Suppose 2 - 12 = -4*n + 2*k, -5*n - x*k - 20 = 0. Let c be (-36)/(-48) + (15/(-4))/5. Solve 6*g - 3*g + 4*d = n, c = 2*g + d for g. 0 Let r be 2 + 1092/16 - (-2)/(-8). Let l = r + -65. Suppose -10 = -2*f, t + 2*f - 18 + l = 0. Solve 4*c = 5*q - 6, t*c - q = -0*q + 1 for c. 1 Let f = 73 + -127. Let y be (7/(-2))/((f/(-84))/9). Let i = y - -49. Solve -3*t = 4*h - i*h + 3, -2*t + 12 = -2*h for t. 3 Let l = 4423 - 4422. Solve -l = 2*s + 8*v - 7*v, 30 = -5*s + 3*v for s. -3 Let n be (35 - 31) + (340/(-2))/2. Let w be n/(-45) + 2/10. Solve 3*f + 1 = -w*g - 8, 12 = -3*f - g for f. -5 Let z = 1402 + -1372. Solve -5*p = t + 24, p - 6*p - z = -5*t for t. 1 Suppose -3*t - 27 + 97 = 5*b, 2*b = -3*t + 19. Suppose 0 = -11*s + 71 + b. Solve -45 = 3*p - s*p - 4*n, -5*p + 35 = 2*n for p. 5 Suppose 0 = 26*q + 90 + 66. Let a be (15 - (q - -14)) + 3. Solve -3*b + 1 - a = 0, -5*o - 4*b + 8 = 0 for o. 4 Let l be 3/(3 - 12/8). Let q be 1*(2 - 10)/l. Let r be 1/(-4) + (-17)/q. Solve 3*m + 6 = 5*u - r*u, -2*u + 10 = -4*m for m. -1 Suppose o + o - 6 = 0. Let
{ "pile_set_name": "DM Mathematics" }
, v: 1, y: 1, o: 2, q: 1, z: 1}? 1/21 Three letters picked without replacement from eueqmueuedemmeequz. What is prob of picking 1 m, 1 d, and 1 q? 1/136 What is prob of picking 1 q and 1 f when two letters picked without replacement from qqfqf? 3/5 Three letters picked without replacement from zzkzkzzkzzz. What is prob of picking 3 k? 1/165 What is prob of picking 1 i and 1 e when two letters picked without replacement from {b: 2, o: 4, e: 1, i: 2}? 1/18 Calculate prob of picking 2 u when two letters picked without replacement from oouuu. 3/10 Calculate prob of picking 1 i, 1 o, and 1 n when three letters picked without replacement from vzvivzovnvzoinvviini. 1/38 Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {g: 3, b: 9}. 9/22 Two letters picked without replacement from ctpgtgtttugtugut. Give prob of picking 1 u and 1 c. 1/40 Two letters picked without replacement from {y: 1, u: 1, z: 1}. Give prob of picking 2 y. 0 Four letters picked without replacement from lfyvfywlnvlnlllyvw. What is prob of picking 1 n, 1 w, and 2 l? 1/51 What is prob of picking 1 p and 2 y when three letters picked without replacement from {g: 1, y: 4, w: 1, b: 1, p: 2}? 1/7 What is prob of picking 4 l when four letters picked without replacement from {l: 9}? 1 Two letters picked without replacement from wgxgiiiinigggwxdi. Give prob of picking 1 d and 1 w. 1/68 What is prob of picking 2 k and 1 o when three letters picked without replacement from {k: 2, u: 4, o: 4}? 1/30 What is prob of picking 1 o, 1 p, and 1 m when three letters picked without replacement from {p: 6, o: 9, j: 1, m: 1}? 27/340 Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {p: 4, s: 2, d: 2}. 1/28 Two letters picked without replacement from tlltlltttttlll. What is prob of picking 2 l? 3/13 Three letters picked without replacement from {d: 1, i: 6, s: 4, e: 5}. Give prob of picking 1 e and 2 s. 3/56 Calculate prob of picking 1 g, 1 z, and 1 s when three letters picked without replacement from {s: 6, k: 2, j: 8, l: 1, g: 1, z: 2}. 1/95 Two letters picked without replacement from eaedeeezedeedeeedez. Give prob of picking 1 d and 1 e. 16/57 Calculate prob of picking 1 b and 3 c when four letters picked without replacement from {c: 4, b: 2}. 8/15 What is prob of picking 1 t and 2 j when three letters picked without replacement from dgjgjddrgrtrt? 1/143 Two letters picked without replacement from {v: 1, c: 1, b: 1, j: 1, d: 1}. Give prob of picking 1 d and 1 v. 1/10 What is prob of picking 1 n and 1 o when two letters picked without replacement from cccccoccnoocckc? 1/35 What is prob of picking 1 u and 1 x when two letters picked without replacement from {u: 1, x: 1, y: 1, v: 1, c: 1}? 1/10 Two letters picked without replacement from kuuuuk. Give prob of picking 2 k. 1/15 Four letters picked without replacement from {j: 1, f: 2, u: 6, s: 9, r: 1}. What is prob of picking 1 s and 3 u? 15/323 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {h: 1, a: 2, m: 2, j: 4}. 2/9 Four letters picked without replacement from gugguggguugguugggg. What is prob of picking 1 u and 3 g? 22/51 Four letters picked without replacement from pnnppnnnnnnnkpnpnn. Give prob of picking 3 n and 1 k. 11/153 Two letters picked without replacement from zzzeeerzzzjzzkme. Give prob of picking 1 m and 1 j. 1/120 Calculate prob of picking 3 a and 1 f when four letters picked without replacement from {f: 1, a: 5, j: 3}. 5/63 What is prob of picking 1 v and 1 q when two letters picked without replacement from fffffqvfqfffqqqfffqq? 7/190 Three letters picked without replacement from {y: 6, o: 5, i: 3, h: 1, r: 2}. What is prob of picking 1 r and 2 i? 3/340 Two letters picked without replacement from {c: 6, f: 4, l: 3, k: 2}. What is prob of picking 2 l? 1/35 Four letters picked without replacement from qrqrrqrrqqrrq. What is prob of picking 2 r and 2 q? 63/143 What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxx? 1 Two letters picked without replacement from ptpypwtyjywpppw. Give prob of picking 2 y. 1/35 Four letters picked without replacement from tttmmtmtmtmtt. What is prob of picking 2 m and 2 t? 56/143 Three letters picked without replacement from vxxxxvvvxxxxxx. Give prob of picking 2 x and 1 v. 45/91 Four letters picked without replacement from gvpgpvvppgp. What is prob of picking 3 g and 1 p? 1/66 Three letters picked without replacement from ncvlt. What is prob of picking 1 c, 1 t, and 1 l? 1/10 Calculate prob of picking 1 r, 1 m, and 1 e when three letters picked without replacement from {r: 1, o: 1, e: 1, m: 1, a: 1, l: 2}. 1/35 What is prob of picking 1 x and 3 t when four letters picked without replacement from {x: 5, t: 13}? 143/306 Three letters picked without replacement from ppsap. Give prob of picking 2 p and 1 a. 3/10 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 4, u: 8, a: 8}. 16/95 Two letters picked without replacement from iiiiiiiisiiii. Give prob of picking 1 s and 1 i. 2/13 Calculate prob of picking 1 f, 1 p, 1 z, and 1 u when four letters picked without replacement from puzzppf. 6/35 Two letters picked without replacement from {i: 1, a: 1, l: 1, j: 1, q: 1}. What is prob of picking 1 q and 1 i? 1/10 Two letters picked without replacement from {e: 1, o: 8, k: 1, h: 1, f: 2, t: 3}. What is prob of picking 1 t and 1 k? 1/40 What is prob of picking 1 g and 1 k when two letters picked without replacement from krkkrkkvkgrv? 1/11 Two letters picked without replacement from {r: 2, u: 7, q: 3}. Give prob of picking 2 q. 1/22 Three letters picked without replacement from qyyyqyqqyyyqqqqqqqq. What is prob of picking 2 q and 1 y? 154/323 What is prob of picking 3 f when three letters picked without replacement from fffbflllb? 1/21 Two letters picked without replacement from dvevvevvrveredet. Give prob of picking 1 v and 1 d. 1/10 Calculate prob of picking 1 i, 1 l, and 2 r when four letters picked without replacement from rrirbllrrbblb. 6/143 Calculate prob of picking 1 k, 1 d, 1 r, and 1 c when four letters picked without replacement from qdtdccqrtrkqtdc. 6/455 Calculate prob of picking 3 k when three letters picked without replacement from {k: 1, t: 3}. 0 Two letters picked without replacement from {q: 2, h: 3, a: 10, v: 1}. Give prob of picking 1 a and 1 q. 1/6 Three letters picked without replacement from uukuukttktt. What is prob of picking 2 u and 1 k? 6/55 What is prob of picking 1 t and 1 b when two letters picked without replacement from {j: 1, t: 2, n: 3, b: 1, u: 2, s: 3}? 1/33 Three letters picked without replacement from {f: 7, x: 5, i: 1}. Give prob of picking 1 f and 2 x. 35/143 Two letters picked without replacement from uustjijx. What is prob of picking 1 x and 1 u? 1/14 What is prob of picking 3 z when three letters picked without replacement from zzddzzzzz? 5/12 Two letters picked without replacement from {y: 4, c: 2, z: 8, s: 2}. Give prob of picking 1 y and 1 z. 4/15 Two letters picked without replacement from {g: 1, n: 1, x: 9}. What is prob of picking 1 n and 1 g? 1/55 What is prob of picking 1 i and 1 r when two letters picked without replacement from irhiiiiiiiiihhiirhih? 13/95 Two letters picked without replacement from btgwxbx. Give prob of picking 1 b and 1 x. 4/21 Three letters picked without replacement from {h: 4, k: 2, m: 3}. What is prob of picking 2 m and 1 k? 1/14 Four letters picked without replacement from nbnbbnnbbbnbbbbbbb. What is prob of picking 4 n? 1/612 What is prob of picking 3 x when three letters picked without replacement from {x: 3, a: 4, t: 10, s: 1, c: 1}? 1/969 Calculate prob of picking 2 t when two letters picked without replacement from {z: 6, t: 5, y: 4, v: 1, q: 4}. 1/19 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from lrfwwlw. 1/7 Three letters picked without replacement from iiiwiqiiiqqiiiqw. What is prob of picking 1 i, 1 w, and 1 q? 1/7 What is prob of picking 1 c and 2 e when three letters picked without replacement from eesec? 3/10 Calculate prob of picking 2 r and 2 n when four letters picked without replacement from {n: 2, r: 9, w:
{ "pile_set_name": "DM Mathematics" }
16 is divided by 71? 16 What is the remainder when 3520722 is divided by 1142? 1078 Calculate the remainder when 510586 is divided by 28323. 772 Calculate the remainder when 135376 is divided by 3148. 12 Calculate the remainder when 118916 is divided by 165. 116 What is the remainder when 168599 is divided by 123? 89 What is the remainder when 58937291 is divided by 31? 29 Calculate the remainder when 1906441 is divided by 1154. 33 Calculate the remainder when 410216 is divided by 10255. 16 Calculate the remainder when 1974556 is divided by 12. 4 Calculate the remainder when 4112567 is divided by 763. 760 What is the remainder when 15952359 is divided by 495? 489 Calculate the remainder when 34833403 is divided by 48650. 3 What is the remainder when 1070316 is divided by 1993? 75 What is the remainder when 346638 is divided by 57734? 234 What is the remainder when 1211844 is divided by 302958? 12 Calculate the remainder when 105875829 is divided by 1835. 1834 Calculate the remainder when 12321 is divided by 513. 9 What is the remainder when 213302337 is divided by 10157253? 24 What is the remainder when 11584147 is divided by 2? 1 Calculate the remainder when 1991003 is divided by 4894. 4039 Calculate the remainder when 4988599 is divided by 184762. 25 What is the remainder when 5821065 is divided by 478? 459 Calculate the remainder when 15984 is divided by 7946. 92 Calculate the remainder when 862123 is divided by 78373. 20 Calculate the remainder when 1680875683 is divided by 1297. 1296 What is the remainder when 388122 is divided by 175? 147 What is the remainder when 124791 is divided by 62292? 207 Calculate the remainder when 40912863 is divided by 1352. 1343 What is the remainder when 603202 is divided by 150790? 42 Calculate the remainder when 2099634485 is divided by 11822. 11819 What is the remainder when 62064051 is divided by 2140139? 20 Calculate the remainder when 588500 is divided by 196163. 11 What is the remainder when 691051 is divided by 14701? 104 What is the remainder when 142202 is divided by 986? 218 What is the remainder when 21803221 is divided by 7267736? 13 What is the remainder when 485806 is divided by 975? 256 Calculate the remainder when 252443 is divided by 4513. 4228 Calculate the remainder when 613947 is divided by 21905. 607 What is the remainder when 996112 is divided by 10827? 28 What is the remainder when 471869 is divided by 863? 671 What is the remainder when 658815 is divided by 28643? 26 Calculate the remainder when 1623 is divided by 658. 307 Calculate the remainder when 347679 is divided by 1207. 63 What is the remainder when 2592338 is divided by 1042? 884 What is the remainder when 4305761 is divided by 76? 57 What is the remainder when 7785 is divided by 7761? 24 What is the remainder when 21023307 is divided by 637069? 30 Calculate the remainder when 1329891 is divided by 147765. 6 What is the remainder when 115228270 is divided by 40? 30 What is the remainder when 1925218 is divided by 1908? 46 What is the remainder when 71978555 is divided by 16? 11 Calculate the remainder when 15143203 is divided by 750. 703 Calculate the remainder when 120079 is divided by 38. 37 Calculate the remainder when 1105469 is divided by 1104694. 775 Calculate the remainder when 414207047 is divided by 123. 119 Calculate the remainder when 3309316 is divided by 34472. 4 Calculate the remainder when 82999 is divided by 41421. 157 What is the remainder when 490788 is divided by 586? 306 What is the remainder when 325109 is divided by 23222? 1 What is the remainder when 129310 is divided by 64388? 534 What is the remainder when 59601 is divided by 347? 264 What is the remainder when 3106826 is divided by 36986? 2 Calculate the remainder when 45297 is divided by 19751. 5795 What is the remainder when 6976 is divided by 1790? 1606 What is the remainder when 139428 is divided by 69682? 64 What is the remainder when 138830 is divided by 33957? 3002 Calculate the remainder when 61821227 is divided by 13. 0 What is the remainder when 5214106 is divided by 59? 40 Calculate the remainder when 197585 is divided by 1753. 1249 Calculate the remainder when 4646810 is divided by 55. 25 What is the remainder when 2850696 is divided by 931? 905 Calculate the remainder when 26227 is divided by 2908. 55 Calculate the remainder when 12025 is divided by 2020. 1925 Calculate the remainder when 161886399 is divided by 1118. 1117 What is the remainder when 111139687 is divided by 3418? 3417 Calculate the remainder when 3881642 is divided by 73. 13 What is the remainder when 286922 is divided by 136? 98 Calculate the remainder when 15008574 is divided by 475. 474 Calculate the remainder when 212747 is divided by 7091. 17 What is the remainder when 1262459 is divided by 3087? 2963 What is the remainder when 104541669 is divided by 637449? 33 What is the remainder when 1231188 is divided by 5447? 166 Calculate the remainder when 6423480 is divided by 1574. 1560 What is the remainder when 206410221 is divided by 2680652? 17 What is the remainder when 384184 is divided by 76288? 2744 What is the remainder when 37394751 is divided by 37? 35 What is the remainder when 339255608 is divided by 46? 42 Calculate the remainder when 21541796 is divided by 552. 548 Calculate the remainder when 15374021 is divided by 20. 1 Calculate the remainder when 103248 is divided by 277. 204 Calculate the remainder when 8906280 is divided by 14. 12 Calculate the remainder when 138480650 is divided by 307. 11 Calculate the remainder when 16693168 is divided by 111. 100 What is the remainder when 58429 is divided by 29161? 107 What is the remainder when 256900169 is divided by 998? 997 Calculate the remainder when 168558 is divided by 3423. 831 Calculate the remainder when 42887812 is divided by 43. 42 Calculate the remainder when 6812020 is divided by 23409. 1 Calculate the remainder when 512551 is divided by 765. 1 Calculate the remainder when 40877234 is divided by 2402. 2400 Calculate the remainder when 2200150 is divided by 671. 612 Calculate the remainder when 48686470 is divided by 89. 88 Calculate the remainder when 16008 is divided by 2384. 1704 Calculate the remainder when 1036250 is divided by 207168. 410 Calculate the remainder when 7261697 is divided by 102277. 30 Calculate the remainder when 391554 is divided by 3465. 9 Calculate the remainder when 758914 is divided by 11858. 2 Calculate the remainder when 550873 is divided by 527. 158 What is the remainder when 560940 is divided by 1774? 356 Calculate the remainder when 9633690 is divided by 1407. 1368 What is the remainder when 3760133 is divided by 3759825? 308 What is the remainder when 210764 is divided by 70233? 65 What is the remainder when 352175 is divided by 31306? 7809 What is the remainder when 133665 is divided by 13364? 25 Calculate the remainder when 507954 is divided by 102. 96 Calculate the remainder when 945753 is divided by 945162. 591 What is the remainder when 145654957 is divided by 87? 79 What is the remainder when 97501 is divided by 97500? 1 What is the remainder when 814451 is divided by 101805? 11 Calculate the remainder when 145597656 is divided by 52. 48 What is the remainder when 145194556 is divided by 112? 108 What is the remainder when 72396266 is divided by 18099063? 14 What is the remainder when 1578836 is divided by 2563? 28 Calculate the remainder when 1404795221 is divided by 1422. 1421 Calculate the remainder when 970327 is divided by 36. 19 What is the remainder when 95297 is divided by 95269? 28 What is the remainder when 2255936 is divided by 24? 8 Calculate the remainder when 475011 is divided by 1433. 688 Calculate the remainder when 967784 is divided by 29297. 983 What is the remainder when 833456 is divided by 309? 83 Calculate the remainder when 43148943 is divided by 2036. 2031 Calculate the remainder when 16245 is divided by 31. 1 What is the remainder when 3238663 is divided by 2426? 2379 What is the remainder when 5170861 is divided by 1464? 13 What is the remainder when 276333 is divided by 178? 77 Calculate the remainder when 359710 is divided by 184. 174 What is the remainder when 210923422 is divided by 687? 682 Calculate the remainder when 121168
{ "pile_set_name": "DM Mathematics" }
839/38006*(-5 + 1). -6/31 ((-471)/18 - -30) + (6 - 11) -7/6 Evaluate 24/(-20)*940/(-188). 6 5*-1 + 3*(-10 - -15 - 11) -23 What is the value of (-12)/4 - (-15 - -10)? 2 What is the value of (-3 + 2)*((-2)/5)/(17/170)? 4 (53/212)/(((-3)/(-4))/1) 1/3 What is -1 + (-10)/((-120)/(-196))*44/(-693)? 1/27 (4 - 3)*((-6)/39 + (-282)/26) -11 Evaluate -60*((-60)/(-25))/(-12). 12 Calculate (-9)/3*(3 + -2 + 4). -15 Evaluate 982/26023 + 1912/(-106). -18 -18 - -15 - (39/37 - (-3 - -7)) -2/37 7*(-4 - 44/(-12))/((-8)/24) 7 ((-4)/(-20))/(4 - 56/20) 1/6 Calculate (-339)/60 - (-2184)/416. -2/5 What is the value of 5/(-2)*18240/(-2850)? 16 What is the value of (10 - 31/3)*(2 - 1)*-3? 1 Evaluate (1*-1)/((924/96)/77). -8 Evaluate 82/10 + 1431/795. 10 2583/533 - (5 - 268/52) 5 (3 + (-17)/5)/((56/(-30))/7) 3/2 Calculate 20/425*(25/(-100))/((-2)/(-20)). -2/17 8 - 11/(1650/1180) - 172/(-60) 3 Evaluate -2 + 15 - (-17 + 20). 10 (546/110 + -5)/(-1 + (-232)/(-240)) 12/11 Calculate (-21)/60*75/(-30)*16/140. 1/10 Evaluate 47/(-3) - (1600/75 - 23). -14 What is the value of 156/208*6/(-24)? -3/16 What is -88 - -117 - ((-16)/(-5) + (-5)/25)? 26 What is ((-15)/(-805))/(((-63)/(-147))/3)? 3/23 What is the value of ((-3)/9*2)/(2600/136500)? -35 What is (1/7)/((-241)/(-21931))? 13 Evaluate (156/(-48))/(59/(-236)). 13 Evaluate 2/(-12) + (-56)/168 - (-1)/10. -2/5 What is 4/(-9)*(-60)/(-40)? -2/3 Evaluate 3/(-2) - (-4462)/(-388). -13 (-6 + 4)*(21 + 60/(-8)) -27 Calculate (2 - 5)*(-21 + 616/22). -21 What is the value of (-9)/180*12*(5 + -6)? 3/5 What is the value of (-3201)/(-2541) + (18/33)/(-1)? 5/7 10/(-1) + -2 - (-1042520)/87100 -2/65 Evaluate (-312)/(-52) + 7/((-126)/60). 8/3 Calculate (-1)/(-8)*(41 + 15). 7 What is (-2)/(-7) + 3468/(-2142) - (-50)/6? 7 What is (3060/126 + -25)/(2/(-14))? 5 What is the value of 124/(-12) + 12/(-21) + 11? 2/21 5/(-22)*(25 - 2618/110) -3/11 What is the value of (-1 + -1)/((456/171)/((-2)/4))? 3/8 Evaluate -12 + 17 + 280/(-42). -5/3 What is the value of (99/(-77)*(-210)/(-120))/((-6)/40)? 15 (9720/(-9072))/((-9)/(-84)) -10 What is the value of -11 + 0 - (-23)/((-1840)/(-872))? -1/10 Evaluate -54*(203/3654 - (-1)/(-6)). 6 What is (16/(-20))/((-3 + 2465/825)*-3)? -22 Calculate 4389/(-297) - -12*(-8)/432. -15 What is the value of 12/(1 - 3) - 3/(96/(-304))? 7/2 ((-24192)/(-931) - 26)*-7 2/19 Evaluate 55/33 + 64/(-60). 3/5 What is ((-6)/(-30))/(68/(-5355)) - 1/4? -16 What is the value of 306/816 + ((-59)/8 - 2)? -9 What is 3287/627 - (-24)/22? 19/3 (-11401)/(-156) - 51 - (-4)/(-48) 22 What is the value of -1*(-5)/(-3)*54/30? -3 (-171)/(-45) + 102/(-15) -3 What is the value of ((7290/150)/(-27))/(20/(-25)*1)? 9/4 What is (-2)/(-6)*-2 - ((-423)/27 - -25)? -10 Calculate 5 + 1 + -7 - (-4 + -1). 4 Calculate -2 + 5 - ((-5 - 4) + (-1626)/(-135)). -2/45 Calculate (-68 + 57868/850)/(9/5). 2/45 Calculate 78/9*30*(-14)/(-280). 13 Evaluate (-4528)/129048 - 2/(798/43). -1/7 -8*((-194)/(-28) - 98/14) 4/7 What is the value of 90/18 + 957/(-110) + 4? 3/10 What is the value of 12 + ((-90)/60 - 38/4)? 1 Evaluate -95 + 97 - (-2 + 27)*3/3. -23 9*-1 - (-17)/(-153)*-45 -4 What is 176/(-22) - 6/(-36)*-42? -15 Evaluate 14/3 - 29744/(-6864). 9 Evaluate (((-6)/(-7))/3)/(756/196). 2/27 Evaluate (-7308)/(-98) - 38 - 36. 4/7 What is (7 - 185/(-125)*-5)/(16/10)? -1/4 (-29)/(-145) + ((-51)/68 - (-229)/(-20)) -12 (-6)/(-51) + 884/1547 + (-45)/238 1/2 What is (3 - (-5 + 17)) + 1684/188? -2/47 Evaluate 2968/318*(-6)/(-8). 7 What is 5*(5 + -4 + (-34)/10)? -12 Calculate 30*((-413)/84 - -5)*(-4)/(-70). 1/7 What is the value of 18/((-648)/252) - 4/((-44)/89)? 12/11 Calculate ((-20)/28)/((36/42)/(-6)) - 10. -5 Evaluate 9/(-30)*-5 - (-27)/6. 6 Evaluate 26/(-30) + 47/((-4465)/76). -5/3 Evaluate 144 - 141 - (-160)/8*8/10. 19 What is the value of ((-660)/(-28) - (-24)/(-42))*1? 23 ((9/(-3))/6)/(46 - (35 - -7)) -1/8 (-276)/(-90)*6 - 18 2/5 Calculate (-12)/(-22)*(-82720)/2820. -16 Calculate (-5 - -2)*((-910)/(-42) + -28). 19 What is the value of (-3 + 26/5)*(-229 + 234)? 11 ((-1)/(36/(-135)))/(-2 + 18/8) 15 1/((-390)/(-17) + -23) -17 What is (11 - (-246)/(-18))/(10/(-15))? 4 What is (-1 - 0)*(-1456)/(8099/89)? 16 Calculate (-5)/5*(-104)/(-1196). -2/23 What is (-6)/9 + ((-1870)/66 - -6)? -23 Evaluate 10234/(-2156) + 5 - (0 + (-4)/(-22)). 1/14 (22/(-66))/(-3*(-1)/(-117)) 13 What is the value of (83435/2200 + -38)/((-6)/(-4))? -1/20 What is the value of 1 - (539/14)/11*(-108)/(-294)? -2/7 What is ((-1)/36)/(42/126)? -1/12 Evaluate (-68)/(-1785)*-27 + 16/10 + -1. -3/7 What is the value of 3636/8484 - ((-22)/28 + 1)? 3/14 What is -3 + (572/180 - (52/18)/(-13))? 2/5 3/(-10)*(15/(-10) - 7/(-2)) -3/5 3/13 - ((-12)/26)/(216/(-1161)) -9/4 Evaluate (9/15)/((-690)/(-92)). 2/25 What is the value of (((-225)/10)/9)/(5 - (-273)/(-56))? -20 What is the value of (-12)/14 - (-168171)/148841? 3/11 Evaluate (-3)/4*30/10. -9/4 What is (-57)/(-3) + (216 - 233)? 2 Evaluate (5/2 + 2)*18/(-351). -3/13 ((-123)/6)/41 - (-6)/(-2) -7/2 What is the value of (38 + -40)*(6 + (-343)/56)? 1/4 Calculate 23 - (-23 + 43) - (-254)/(-86). 2/43 What is the value of ((-360)/(-16))/(20/8)? 9 What is (2 + 84/(-24))*(-4)/18? 1/3 Calculate 129/86*(1 + (-100)/(-12)). 14 (37044/(-72))/(-49) + -18 -15/2 Calculate (-41)/(738/108) - 7. -13 Calculate -630 - -641 - (0 + 24). -13 What is the value of (36/330*-5)/(270/396)? -4/5 What is the value of ((-3392)/224 - 12/14) + 41? 25 Calculate (-34 + 82 + -37)*(1 - (-1 + 3)). -11 What is (5/(2 - -18))/((-4)/64*26)? -2/13 Calculate (8*(-9)/(-108) - (5 + 0))*3. -13 What is 47 + (-41 - (-3982)/(-660))? -1/30 What is the value of 40/(-240) + (-3 - 86/(-12))? 4 What is (10 - (-108)/(-11)) + (-3)/(-88)*-42? -5/4 Calculate ((-710)/30 + 25)*-21. -28 What is 16790/1679 + (-80)/2 + 1? -29 Evaluate ((-6)/15)/(4235/325 - 13). -13 Calculate 45*108/480 - 8 - (-15)/(-6). -3/8 What is (4 - 65/10)*96/(-20)? 12 18/24*5/(8 + -23) -1/4 What is the value of ((-112)/(-224))/(24/9)? 3/16 (-24 - 25550/(-1064))*4 1/19 What is 18*(-8 - (-8 + (-3)/(-9))) + 10? 4 Evaluate (1/(48/18))/(486/(-72)). -1/18 What is 28990/(-18525) - 32/(-20)? 2/57 ((-18)/(-3) + -1)/(2 + -1) 5 What is 246/205 + (-328)/40? -7 What is the value of (-12)/(-2)*(-682)/99*795/(-1060)? 31 30/(-255) + 4/1190 - (-8)/20 2/7 Calculate 6/(-24) - (10 - (-648)/(-32)). 10 (-729)/(-105) - (-11 + 15 + 5 + -2) -2/35 Calculate (33/264)/(10/32). 2/5 What is the value of (-1275)/(-306)*(-4 + (-63)/(-15))? 5/6 Evaluate (-18963)/18060 + (-10)/(-8). 1/5 Evaluate 10/(32/(-39) - 8/(-52)). -15 Evaluate (-18872)/1011*(-1)/(-12). -14/9 What is 15/((-70)/20 - -11)? 2 Evaluate 12/2 + (-5)/(-2)*(-16)/(-20). 8 What is 992/768 + (-10)/15? 5/8 What is the value of 1/(-6)*(1426/253 + -6)? 2/33 6*125/3600*-4 -5/6 What is the value of 114/10 - (552/1035)/((-8)/(-6))? 11 (7/56)/(26/(6240/225)) 2/15 Calculate (3 - 63/18)*-16. 8 Calculate 4/(-160) + 15 + (-1510)/100. -1/8 Calculate 2/(-3) + 14/(7644/406). 1/13 -7 + (-2)/2 + ((-8850)/200 - -55) 11/4 122265/29925 - (-72)/(-15) -5/7 Evaluate (-91)/(-260)*(-24)/(-42)*5/(-4). -1/4 1 - 11/5 - 26289/1905 - -2 -13 Calculate (326/489)/((-8)/20 - 112/(-330)). -11 Calculate (3 - 9) + -135*7/(-175). -3/5 18/45*((-5)/35 - 30/35) -2/5 What is the value of 6 - ((-44992)/(-288))/37? 16/9 (-3990)/(-252)*12/20 19/2 What is 3 + -3 + (16/(-56))/((-40)/(-14))? -1/10 Evaluate ((-238)/(-11662))/(1/21). 3/7 (26/2)/((-123)/533 - (-40)/(-52)) -13 Evaluate (1/(-3) - (-18224)/(-2856)) + (3 - -4). 2/7 5 + 56/(-8) - -18 - 6 10 What is ((-2)/(-3) - 1250/(-4875))/2? 6/13 Calculate ((40/(-48))/((-5)/(-4)))/((-2)/(-30)). -10 What is 63/36*(2 - (-81)/(-42))? 1/8 -2*6/(-15) - (-39)/((-23205)/406) 2/17 (0 + -4 - -5)/(4/((-48)/9)) -4/3 What is the value of (22/24 - (-14)/(-21)) + (-532)/(-560)? 6/5 10/4*(-86)/(-301) 5/7 Evaluate 3*(-16 - (-1854)/117 - (-46)/(-546)). -5/7 (160/112)/((1/35)/(8/(-20))) -20 What is -7 + (9 - (-9)/84*-18)? 1/14 What is 4*7/(-630)*5? -2/9 Evaluate (86/10 + -7)/(23/(-115)). -8 Evaluate 1/((-51)/(-6)) + (-5152)/(-4760). 6/5 (-126)/42*11/(-3) 11 21640/(-15148)*(18/(-4) + 1) 5 Evaluate 24/(100/(125/5)). 6 What is ((-2)/(-6))/(((-154)/(-693))/((-2)/3))? -1 4/34 - 1*-1*(-2726)/(-1972) 3/2 Evaluate 18*(-9)/(-54) - (-2 + 3). 2 What is the value of 19 - -6*3/(-1
{ "pile_set_name": "DM Mathematics" }
the remainder when y(w) is divided by 7. 6 Suppose 34 = 3*d - 4*i, 0*i + 20 = -5*i. Let q be (6/2)/(-1) + 1. Let s(w) = 5*w**2 + w - 2. What is the remainder when s(q) is divided by d? 4 Let r(x) = -12*x - 1. Calculate the remainder when r(-4) is divided by 25. 22 Let l(b) = 1 - 3 + b - 3*b + 17*b**3 + 3. What is the remainder when l(1) is divided by 9? 7 Suppose 3*n + 2 = 5*a - 3, -n = 0. Suppose 4*o + 3*m = 103, -m = 5*o - 3*m - 123. What is the remainder when (-5)/o - (-6)/5 is divided by a? 0 Let g(d) = d**2 + 9*d - 10. Calculate the remainder when g(-13) is divided by 9. 6 Let u = -5 - -1. Let m = u - -56. Let i(w) = -17*w**3 - w. Calculate the remainder when m is divided by i(-1). 16 Let d be 21 + (0 - 1)*-2. Let w = 47 - d. What is the remainder when w is divided by (13/2)/(7/14)? 11 Suppose -2*x - 1 = -9. Suppose 0 = q - x*q. Calculate the remainder when 14 is divided by (q/(-2) - -2) + 6. 6 Suppose 5*d - 27 = -z + 46, 3*d - z - 47 = 0. Calculate the remainder when 27 is divided by d. 12 Suppose -2*w - 10 + 44 = 0. Let x = w - 9. Calculate the remainder when x is divided by (2/3)/((-2)/(-15)). 3 Suppose 0*t = 4*t - 12. Suppose 4*c + 3*o - 34 = 0, -c + 4*c - t*o - 15 = 0. Suppose -c*p + 36 = -5*p. What is the remainder when 34 is divided by p? 16 Let i(z) = -15 + 27 - 2*z + z - 13. What is the remainder when 18 is divided by i(-6)? 3 Suppose t - 10 - 28 = 0. Let x = 28 + -18. Calculate the remainder when t is divided by x. 8 Let k(p) = p**3 - 4*p**2 - p - 10. Calculate the remainder when 11 is divided by k(5). 1 Let d = -53 - -85. Calculate the remainder when d is divided by 11. 10 Suppose -5*j - 220 = -5*h, 5*h - 7*j = -3*j + 216. What is the remainder when h is divided by 14*1 + 0/3? 12 Let l be 4/(-14) - (-4)/14. Let q be -16*(-3 + (-1 - l)). Suppose 0 = 4*h + 20 - q. What is the remainder when 32 is divided by h? 10 Suppose -33 = -5*k - 8. Calculate the remainder when 24/(-3) - -4 - -12 is divided by k. 3 Suppose -k = -2*j + 14, -k - 1 = -5. Suppose -2*r + 50 = -0*r - 4*b, -5*r = 4*b - 55. What is the remainder when r is divided by j? 6 Calculate the remainder when 43 is divided by ((-5)/3)/((-6)/54). 13 Let s(r) = r**2 + 12*r - 14. What is the remainder when s(-15) is divided by 11? 9 Let o = -10 + 7. What is the remainder when 39 is divided by (-1)/1*(-17 - o)? 11 Let q = 11 + -7. Suppose q*c = 2*a - 0*a + 38, a = 5. Suppose -12 = -2*d + c. What is the remainder when d is divided by 7? 5 Let b = -32 - -54. Suppose 5*n + 73 = 6*n + 2*i, 3*i = 15. Calculate the remainder when n is divided by b. 19 Suppose -6*z = -z - 70. Suppose -2*p = -3*p + z. What is the remainder when 25 is divided by p? 11 Let l(h) = h**3 + h**2 - 7*h + 13. Calculate the remainder when l(6) is divided by 45. 43 Let n(w) = -5*w - 7. Suppose 5*r + 55 = -o + 10, 4*o + 9 = -r. Calculate the remainder when n(r) is divided by (1 - -5) + 1 + 3. 8 Suppose 0 = -8*k + 87 + 25. What is the remainder when 81 is divided by k? 11 Let i = -1 + 60. Calculate the remainder when i is divided by 16. 11 Suppose -4*r = -20 - 16. Suppose -17 = -3*d + 2*a, 3*d + a + 3 = -2*a. Calculate the remainder when r is divided by d. 0 Let x = 19 + -11. Suppose -3*k = k - 16. Calculate the remainder when 21 + -2*1 + k is divided by x. 7 Let h(m) = 3*m - 5. Let r(y) = -y**2 + 17*y - 11. What is the remainder when r(15) is divided by h(4)? 5 Let p(x) = -x**3 + x**2 - x - 4. Let s be p(0). What is the remainder when s/(-6) + (-128)/(-6) is divided by 6? 4 Suppose -34 = -4*i + 5*p + 73, -5*i = 3*p - 143. Let o = 46 - i. Let u(r) = r**3 - 4*r**2 - 6*r + 15. What is the remainder when o is divided by u(5)? 8 Suppose 14 = -2*m + 4. Let d(b) = -3*b + b + 1 + 2. What is the remainder when 24 is divided by d(m)? 11 Suppose 2*o + 5*v = 20 - 7, 3*o = -5*v + 17. Suppose -4*h + 3 = -5. Calculate the remainder when ((-8)/(-12))/(h/33) is divided by o. 3 Let s = 18 + -8. Let w(b) = -204*b - 2. Let o be w(2). What is the remainder when 10/(-35) + o/(-14) is divided by s? 9 Suppose 105 = 6*v - v - 4*g, 20 = 4*g. Calculate the remainder when 91 is divided by v. 16 Let s(c) = -c**3 - 9*c**2 + 7*c - 11. Calculate the remainder when 47 is divided by s(-10). 9 Let w = -24 - -48. Suppose 0 = -q - 3*q + w. Let j(r) = -2*r + 4. What is the remainder when j(-3) is divided by q? 4 Suppose -5*r + 190 = -95. Suppose 0 = -5*n + 30 + 45. What is the remainder when r is divided by n? 12 Suppose 4*n = 6*n - 22. Let l = 9 - -8. Suppose 3*c + 2*h - l = 0, -3*c - 5*h = c - n. What is the remainder when c is divided by 5? 4 Suppose 3*h = -9, -h = -5*s - 2*h - 3. Let b = s - -2. What is the remainder when (-181)/(-4) + b/(-8) is divided by 16? 13 Let q be (2/4)/((-3)/72). What is the remainder when 61 is divided by q/30 + (-164)/(-10)? 13 Let i be 9/(2/(12/(-9))). Suppose 0*h + 2*s = -h + 17, 2*h + 2*s - 26 = 0. Calculate the remainder when (-2)/3*153/i is divided by h. 8 Suppose -2*v = 4*s - 26, v - 34 = s - 9. Let j be (-2)/(-4) + v/6. Suppose 0 = j*n + 16, 74 = 2*l - 5*n + 4. What is the remainder when l is divided by 13? 12 Suppose -x + h = 5*h + 41, 3*h - 113 = 5*x. Let q = x - -46. Calculate the remainder when q is divided by 6. 3 Let f be (-12)/(-3) - (-3)/(-3). Suppose -s - 5*z + f*z + 18 = 0, 16 = 4*z. Calculate the remainder when 19 is divided by s. 9 Let z = 200 - 60. What is the remainder when 53 is divided by z/(-8)*4/(-5)? 11 Let k = 17 - 6. Calculate the remainder when k is divided by 7. 4 Let u(w) = w**3 - 6*w**2 - 3*w - 20. What is the remainder when 28 is divided by u(7)? 4 Let w = -33 + 50. What is the remainder when w is divided by 11? 6 Let d(u) = 29*u**2 - 7*u + 6. Let c(l) = 30*l**2 - 6*l + 5. Let z(f) = 5*c(f) - 4*d(f). What is the remainder when z(1) is divided by 17? 16 Let s(g) = -g**3 + 9*g**2 + 11*g - 9. Let f be s(10). Let z be (-24)/9*f*3. Let u = 2 - z. What is the remainder when 18 is divided by u? 8 Let r = 1 + 3. What is the remainder when 5 is divided by r? 1 Let j = -29 + 45. Calculate the remainder when 62 is divided by j. 14 Suppose -a - 63 = 28. Let s = 141 + a. What is the remainder when s is divided by 17? 16 Suppose -4 = -4*y + 4. Suppose 0*i - 2*p + y = -3*i, 2*i = -2*p + 12. Suppose -10 + i = -z. Calculate the remainder when 23 is divided by z. 7 Let m(o) = 2*o + 15. What is the remainder when m(7) is divided by 16? 13 Let h(q) = 12*q**3 + q**2 - q. Suppose 0 = -r + 12 + 11. Calculate the remainder when r is divided by h(1). 11 Let y = -4 + 5. Let o be 4/(-18) + (-20)/(-9). What is the remainder when (o/6)/(1/3) is divided by y? 0 Calculate the remainder when 88 is divided by 11 - (-9)/((-27)/(-6)). 10 Suppose -g = -0*g - 5. What is the remainder when 18 is divided by g? 3 What is the remainder when 35 is divided by (1 - 3)*(-9 - 0)? 17 Let i = -35 - -64. Calculate the remainder when 85 is divided by i. 27 Suppose 0*g = g - 2. Calculate the remainder when 58/10 + 16/(-20) is divided by g. 1 Let x(q) = q**2 - 1. Let m(s) = s**2 - 5*s + 6. Let f be m(4). What is the remainder when 8 is divided by x(f)? 2 Let d(j) = 12*j - 9. Suppose -3*w + 5 = -2*w. Calculate the remainder when d(w) is divided by 13. 12 Calculate the remainder when 4 is divided by (-2)/2 - (-20)/4. 0 Let k(t) = -t**3 - 8*t**2 - t - 6. Let l be k(-8). Let v = l - -2. Calculate the remainder when 11 is divided by v. 3 Suppose -3*f - l = -15, -f + 11 = -2*f + 5*l. Let z = 10 - 7. Suppose 0 = -z*n - n + f. Calculate the remainder when 2 is divided by n. 0 Let r = 87 - 51. Let n = r - 19. Calculate the remainder when 33 is divided by n. 16 Let y(r) = r**2 + 2*r - 10. What is the remainder when y(8) is divided by 18? 16 Suppose 0 = 2*a + 2*z - 20, -2*z + 5 = -a + 24. What is the remainder when 49 is divided by a? 10 Let b(q) = -q**3 + 7*q**2 + q + 5. Let f = -129 + 199. Suppose 5*s = 3*s + f. What is the remainder when s is divided by b(7)? 11 Let k = -10 - -12. Suppose k*h + 20 = 98. Calculate the remainder when h is divided by 20. 19 Let b(x) = -x**2 + 15*x - 23. Calculate the remainder when 20 is divided by b(12). 7 Suppose 0 = -0*h - 2*h + 168. What is the remainder when h is divided by 22? 18 Let b = 60 - 43. Calculate the remainder when 3/(-3) - 1 - -52 is divided by b. 16 Let d(r) = r**2 - r - 1. Calculate the remain
{ "pile_set_name": "DM Mathematics" }
? False Is 141159 bigger than 423475/3? True Is -8 > 366716? False Is 23779 less than 23763? False Which is bigger: 1085377 or 1085382? 1085382 Which is bigger: 141539 or 141543? 141543 Which is greater: 0 or 44/124077? 44/124077 Is 1 < 5549? True Which is greater: 26777 or 26805? 26805 Is -1668/451 <= -3? True Is 1 at most 100/124463? False Which is smaller: -46 or -18632? -18632 Which is greater: -0.16 or -159? -0.16 Which is smaller: -103991 or -103992? -103992 Which is smaller: -88352 or -88339? -88352 Is 1/4 bigger than 1534.02? False Which is bigger: -2/11 or -0.02321? -0.02321 Is 32626 > 32456? True Is -1810/4183 at least as big as -1? True Is 1 greater than -43/15408? True Which is bigger: -23510 or -23512? -23510 Which is bigger: 7021/435 or 17? 17 Is 11 at least -23034? True Which is smaller: -666531 or -3? -666531 Are -57390 and -57390 nonequal? False Which is greater: -5739 or -5644? -5644 Which is smaller: -84 or -969? -969 Which is bigger: 5 or 21528/7? 21528/7 Is -714 at least as big as -8567/12? False Is 0 less than 6/23087? True Are -10 and -12155/1346 equal? False Are 62736 and 1 equal? False Is 405 greater than 40851/101? True Is -2391/10 at most as big as -0.1? True Is 35 greater than or equal to 1/6? True Is 8454 >= -27? True Which is bigger: -4/148133 or 1? 1 Is 1 smaller than -2/2840885? False Which is smaller: 0 or 2/15367843? 0 Is -6.7073 greater than 0? False Which is greater: -24213 or -24209? -24209 Which is smaller: 491 or 203? 203 Is 5/2663883 != 1? True Which is smaller: 1 or 6/734713? 6/734713 Is 26419 less than or equal to 26423? True Is 80533/2 smaller than 40267? True Which is bigger: -6/8519 or 3/4? 3/4 Is -68 < -6078? False Which is smaller: -2/5649 or -1/9? -1/9 Is -4708 < 11? True Are -8364 and -8377 equal? False Which is smaller: -4/3185 or 1? -4/3185 Which is smaller: 2923/98 or 31? 2923/98 Is -80114 smaller than -80114? False Which is bigger: -3/6799 or 0.11? 0.11 Is -1 != 2679863? True Is 386 greater than or equal to 400? False Which is smaller: -5 or -259? -259 Is -98/13 greater than or equal to 7.121? False Is -0.0214 != -3.7? True Is 45.5 greater than or equal to -5/7? True Which is greater: -106178 or -106179? -106178 Which is greater: -16 or 2122? 2122 Which is greater: 214549 or 214542? 214549 Which is bigger: -227 or -682/3? -227 Is -2014 less than -94? True Which is greater: -4/119405 or 1? 1 Is 5867 >= 29336/5? False Are -50105 and -50104 non-equal? True Which is smaller: -279 or -417? -417 Which is smaller: -17 or 3? -17 Which is greater: -7.6678 or 0.1? 0.1 Which is bigger: 2 or 7830? 7830 Are -414361 and -414362 equal? False Are 119/3789 and -1 equal? False Which is bigger: 65908 or 329538/5? 65908 Does 90 = -3635? False Is -12 >= -3752? True Which is bigger: 0.1 or -18/10679? 0.1 Which is bigger: 51757 or -11? 51757 Is -316 less than -1889/6? True Is 1 != -35/65939? True Which is smaller: -29662 or 1? -29662 Is -36 > 3814? False Which is greater: -42 or -1525/37? -1525/37 Is 7 not equal to 863.8? True Is 0 greater than or equal to 2/1563107? False Is -12743 != -1/68? True Which is greater: 0 or -10/107801? 0 Which is bigger: 8258 or 8260? 8260 Which is bigger: 23/175 or 0? 23/175 Does -2/27 = 1/3081? False Is 736840 smaller than 736840? False Is -1 < 91/53876? True Is -151881 at most as big as -151881? True Is 326201 at least -1? True Is 611781/13 less than 47060? False Is -229/332 less than 0? True Which is greater: -143013/17 or -8414? -143013/17 Which is greater: 71/1715 or -1? 71/1715 Do 488382 and 488382 have the same value? True Is -2 > 24.955? False Which is smaller: 88906 or 88907? 88906 Is -35602 bigger than -35659? True Which is greater: 54 or 130? 130 Is -26426 > -26428? True Which is greater: 0 or 320/2579? 320/2579 Is -1992 at most -1992? True Is 522/23785 >= 1? False Do 203126/73 and 2783 have the same value? False Which is greater: -2/1007 or 0? 0 Is -925 >= 204? False Is -25942 at most -25944? False Which is greater: -1 or 283810? 283810 Is -827.7 bigger than 128? False Is 654 less than 229? False Are 1 and 28/2531 unequal? True Which is smaller: 14/211 or 0.11? 14/211 Which is greater: -2/9963315 or 1? 1 Is 27041.5 bigger than 2/7? True Which is smaller: 20/9159 or 0? 0 Which is smaller: -123688 or -123687? -123688 Which is greater: -469 or 1685? 1685 Is 6311 less than 6312? True Is 1 bigger than -2/23064359? True Are 0 and -11/87644 nonequal? True Which is smaller: 820 or 1200? 820 Are 121762 and 121764 equal? False Are 33479 and -3/7 nonequal? True Are 32117/4 and 8030 nonequal? True Which is smaller: 102/1121 or -1? -1 Is 1 equal to 2/1726901? False Are -183736 and -918677/5 unequal? True Is -354/12107 smaller than -1? False Which is greater: 1 or 623/33? 623/33 Which is smaller: -1337 or -62826/47? -1337 Is 1798/7 greater than 257? False Which is greater: -172 or -811? -172 Which is smaller: -1393 or -1397? -1397 Which is greater: -5539 or -5555? -5539 Is 1081 > 42? True Which is greater: 837649 or 837648? 837649 Which is smaller: -952 or -20? -952 Which is smaller: -166/17459 or 0? -166/17459 Is 0 < -321/48062? False Which is bigger: -3/8 or 43922? 43922 Is 2271/559 greater than 5? False Which is bigger: -1 or -2/956587? -2/956587 Is 3 != -64117? True Is 7486/3 >= 1/11? True Which is greater: -243 or -157? -157 Which is smaller: 96 or 3.889? 3.889 Is 386/369 at most as big as 0? False Which is smaller: 0 or 3/77972? 0 Which is greater: 4784/601 or 8? 8 Which is smaller: 43124 or 3.7? 3.7 Is -3/38 > -1860? True Which is smaller: 17271 or 17260? 17260 Is 0.3 bigger than -321327/2? True Which is smaller: -25275/7 or -3611? -3611 Which is greater: -6178 or -30883/5? -30883/5 Is -7619 at most as big as -7619? True Which is smaller: 19730 or 19564? 19564 Do 474543/2 and 237272 have the same value? False Is 1034 less than 917? False Which is greater: -4321349 or -4321348? -4321348 Which is smaller: 93 or 10990/117? 93 Is 2914 at most 2911? False Is 2/449939 less than 0? False Which is smaller: -71710 or 3? -71710 Is 1375289 greater than 1375291? False Are -841 and 495 nonequal? True Is 46790 bigger than 46815? False Is -2240 > -813? False Do 7846 and 7895 have the same value? False Which is smaller: -93 or -23.01? -93 Is 3 at least as big as 494/291? True Is -9/79720 smaller than -1? False Is -6 smaller than -3129/503? False Which is smaller: 2321 or 2327? 2321 Is 34460 less than or equal to 34499? True Is -187089 less than -187093? False Which is bigger: -564551 or -564552? -564551 Which is smaller: 1539678 or 1539679? 1539678 Which is greater: -1808/5 or -5? -5 Which is greater: 1/336537 or -0.04? 1/336537 Which is greater: -12/8515 or 0? 0 Is -440938 smaller than -440938? False Is -0.084 greater than or equal to 729? False Is -1/3 > -431424? True Which is smaller: -1/4185879 or -1? -1 Which is smaller: 33123 or 231856/7? 231856/7 Do 34031 and 1 have the same value? False Is 0 at most 119/2294? True Is 0.8799 greater than 233? False Which is greater: -21161/13 or -1629? -21161/13 Which is greater: -78803 or 1? 1 Is 6/8520625 >= 1? False Is 266 <= 56? False Which is greater: -1232 or -1569? -1232 Is 10912 equal to 10910? False Is -0.1 at most -20074? False Which is smaller: 365127 or 12? 12 Is 8.606 less than 3? False Is -646 smaller than -744? False Which is bigger: -34229 or -34211? -34211 Which is bigger: 2204/157 or 14? 2204/157 Is -521799 greater than or equal to -521797? False Is -1/319035 at most as big as 0? True Is 1 at least -101267? True Is -1 at least 2/8653? False Which is greater: 0 or 1/1876621? 1/1876621 Is 556737 less than -0.3? False Is 4390056/13 < 337698? True Does -1122 = -1122? True Do -24 and -3319 have different values? True Is 20/290189 greater than 0? True Are -137 and 5255 unequal? True Which is greater: -2261 or -13? -13 Which is greater: 308788 or -3? 308788 Is -878 bigger than -11405/13? False Which is bigger: 63322 or 63323? 63323 Is -19996/129 != -156? True Which is greater: -1 or -125/77? -1 Is 13 at most as big as 0.0716? False Are -953 and -2023 non-equal? True Is -46882 bigger than -46884? True Which is bigger: -685 or -664? -664 Is -7/37876 >= 1? False Do -2/350949 and 0 have different values? True Which is smaller: 968 or -463? -4
{ "pile_set_name": "DM Mathematics" }
)? 3 Suppose 0 = 146*y - 153*y + 2205. What is the tens digit of y? 1 Let c(z) = z**3 + 15*z**2 + 28*z + 29. What is the units digit of c(-11)? 5 Let j(i) = -8*i**2 - 7*i - 24. Let z be j(-6). What is the units digit of (z/(-63))/(3/28)? 0 Let q = 5214 - 3117. What is the hundreds digit of q? 0 Suppose 1321 - 384 = 2*y + 3*q, 2*y - 945 = 5*q. What is the tens digit of y? 7 Let i(p) = 10*p**2 + 4*p + 2. Let y(k) = 2*k + 2. Let w be y(0). Suppose -w*o - 2*o - 8 = 0. What is the tens digit of i(o)? 3 Suppose 0 = -5*g, 4*i + g - 44 = 6*g. Suppose 2*z = i + 7. Let b = -8 + z. What is the units digit of b? 1 Suppose 5*z = -3*c - 45, -4*c - 31 = -3*z - 0*z. Let j = -5 - c. Suppose u - j*u + 113 = -5*n, -25 = 5*n. What is the units digit of u? 2 Suppose 0 = 5*w + 5, -358 = m + 2*m + 4*w. Let u = m + 189. Suppose -u = -3*r + 16. What is the units digit of r? 9 Let o(v) = 23*v - 12 + 17 - v. What is the tens digit of o(7)? 5 Let t = 163 + 137. What is the tens digit of t? 0 Let f(a) = -7*a**2 - 9*a + 2. Let k(o) = 13*o**2 + 17*o - 4. Let b(s) = -11*f(s) - 6*k(s). Let m be b(-3). Suppose 0*h = m*h - 98. What is the tens digit of h? 4 Suppose -149*c + 134*c + 43065 = 0. What is the hundreds digit of c? 8 What is the units digit of 6 + (-4)/3 + (-55097)/(-51)? 5 Suppose -199*c = -198*c - 600. What is the hundreds digit of c? 6 Let r(q) = q. Let p be r(1). Let t(s) = 2*s**2 - 1. Let v(o) = -32*o**3 + 6*o**2 - o - 2. Let i(w) = 4*t(w) - v(w). What is the units digit of i(p)? 3 Let l(j) = 45*j**2 + 67*j + 31. What is the tens digit of l(-7)? 6 Suppose -5*g + 28 = y - 0*y, 3*g - 10 = -4*y. What is the tens digit of (3/(-7))/(g/21)*-76? 1 Let z(n) = -7*n + 59. Let v be z(8). What is the tens digit of (4 - v)*30 - -2? 3 Let f(x) = -141*x**3 - 2*x - 1. Let n be f(-1). Let g = n + -91. Let h = g + -26. What is the units digit of h? 5 What is the tens digit of (8 - (-424 - -6)) + -3? 2 Let j = 24 + -18. Let y(h) = 2*h - 8. Let q be y(j). Suppose 0 = -q*u - 0*u + 120. What is the units digit of u? 0 Suppose -5*w + 4*f = -19, 2*w - 6 = 2*f - 0. Let p(g) = -g**3 + 10*g**2 - 13*g + 2. What is the tens digit of p(w)? 5 Let c(z) be the first derivative of 15*z**4/4 + z**3 - 3*z**2/2 + z + 5. What is the tens digit of c(2)? 2 Let d(t) = -8*t**2 + 6. Let k = 8 - 13. Let b(g) = 9*g**2 - 7. Let q(n) = k*b(n) - 6*d(n). What is the units digit of q(4)? 7 Let x = 1613 + -1122. What is the units digit of x? 1 Suppose 5*i = -5*j + 59 + 601, 4*j = 3*i - 375. Suppose -5*w = -i - 296. What is the tens digit of ((-12)/5 + 3)*w? 5 Let t(i) = -i**3 - i**2 + 1. Let z(j) = -4*j**3 - 4*j**2 - 4. Let c(y) = 5*t(y) - z(y). What is the units digit of c(0)? 9 Suppose 5*a = -5*m + 414 - 1279, 5*a + 865 = 2*m. Let v = a + 303. What is the hundreds digit of v? 1 Suppose -4985 - 3012 = -11*n. What is the units digit of n? 7 Let k be 91/117 - 2/(-9). What is the hundreds digit of 4/k + (7 - -141)? 1 Let r = -11811 - -8351. What is the units digit of r/(-68) + 8/68? 1 Suppose 0 = -3*l + h + 22, 18 + 22 = 4*l + 4*h. Let b = 10 + l. What is the units digit of b? 8 Suppose -5*a + 290 = -0*a. Suppose -27 = -5*t + a. Suppose -4*u + t + 35 = 0. What is the tens digit of u? 1 Suppose -6*d + 94*d = 263560. What is the units digit of d? 5 Suppose -s - i + 64 = 0, 3*i - 312 = s - 6*s. Let o = s - 36. What is the tens digit of o? 2 Let l(j) = j**2 + 4*j + 10. Let d be l(-9). Suppose -7*h + 2*h + 10 = -c, 0 = 5*c - 2*h + 142. Let y = c + d. What is the units digit of y? 5 Let z(w) = -7*w - 7. Let m be z(-4). Let o = m + -11. What is the tens digit of o? 1 Suppose 0 = -28*k + 8*k + 6960. What is the hundreds digit of k? 3 Suppose -12*v + 20 = -8*v. Suppose -2*x + 166 = -2*m + 5*m, -20 = v*x. What is the units digit of m? 8 Suppose -5*a = -1300 - 285. What is the tens digit of a? 1 Let n(t) = -t**3 + 7*t**2 + 2*t - 1. Let m be n(7). Let q = -11 + m. Suppose -45 = -3*f - 3*b, -q*f - 3*f - b = -87. What is the units digit of f? 8 Suppose 29*z - 8439 = -0*z. What is the tens digit of z? 9 Suppose -5*b + 81 = 2*f, -30 = -f + b - 0. Let i = 35 - f. What is the units digit of i? 2 Let o(h) = -3*h - 10. Let b be o(-5). Suppose 0 = -5*g + 4*x + x + 240, -b*g + 195 = 4*x. What is the tens digit of g? 4 Let m = 89 - 92. What is the hundreds digit of 119 + (-16)/12*m? 1 Let q(i) = -3*i**3 - 3*i**2 + 5. Suppose -5*d = p + 2*p - 50, -10 = 5*d. Suppose 2*l - 1 = -2*t + 3, -4*t = -p. What is the tens digit of q(l)? 5 Suppose 0 = -2*r - 3*r + 2*q + 206, 0 = -4*r + 5*q + 175. What is the units digit of r? 0 Suppose 4*g = 3*g + 106. Let m(x) = x**3 - 5*x**2 + 2. Let n be m(5). Suppose -n*s = 4*o - 54, -3*s - 3*o - 28 = -g. What is the tens digit of s? 2 Let c = 25 + -23. Suppose 4*m - 20 = -5*q + q, -c*m - 38 = -4*q. What is the units digit of q? 8 Suppose 10*y - 9*y = 4. Suppose 0 = f + y - 1. What is the tens digit of f/(-21) + (-228)/(-21)? 1 Suppose -5 = x - 6*x. Let i(o) = o**2 - 5*o - 6*o + 1 + 10*o + 27*o**3. What is the units digit of i(x)? 8 What is the thousands digit of (-40)/24*253*-3*3? 3 Suppose -2*u - 3*u = 20. Let p = u + 10. Suppose 2*j = p*j - 92. What is the tens digit of j? 2 Let h = 2026 + -1293. What is the tens digit of h? 3 Let g(o) = -4 - 4*o**3 + 0*o**3 - 2*o + 3*o**3 + 5*o**2. Let d be 3 + 1 + (3 - 3). What is the units digit of g(d)? 4 Suppose -5*h = f - 1377, h + 3*f = 3*h - 561. Suppose 3*l = -5*a + h, -4*a + 53 = -4*l - 187. What is the units digit of a? 7 Let c(x) = -410*x + 2. Let n be c(1). Let r = -284 - n. Suppose -z - 3*z + r = 0. What is the units digit of z? 1 Suppose 3*y = 286 - 85. What is the tens digit of y? 6 Let r = -140 - -300. What is the tens digit of (8/20 + 0)*r? 6 Let y(v) = -15*v + 29*v**2 - 25*v**2 + 9 + 0*v. What is the units digit of y(11)? 8 Suppose -10 = -3*r - 4*y, 2 - 17 = -5*r - 5*y. Suppose 0*m - r*m + 106 = 0. What is the units digit of m? 3 Let v(s) = 197*s**2 + 19*s + 1. What is the tens digit of v(2)? 2 Suppose -4*z - 4572 = -2*z. What is the units digit of (z/(-72))/((-1)/(-4))? 7 Suppose -4*s + d = -20590, -3*d - 5 - 1 = 0. What is the tens digit of s? 4 What is the thousands digit of ((-9)/(-9))/1 - 1394*-1? 1 Let h(p) = 3*p**3 + 10*p + 8*p**3 - 19*p**3 - 3*p**2 + 2 + 7*p**3. What is the units digit of h(-5)? 2 Let o(k) = -297*k + 108. What is the tens digit of o(-5)? 9 Suppose 0 = -6*c + 9*c + 9, -4*c - 570 = -p. What is the tens digit of p? 5 Suppose -3*a - 5*y + 9 = 0, 5*y - 3 = -2*a + a. Suppose -a*v + 1 = -8. Suppose 4*w - v*w = 13. What is the units digit of w? 3 Suppose 0 = 3*n + 12 + 24. What is the tens digit of 22/(2/4 - n/8)? 1 Let r(x) = -x**3 - 10*x**2 + 6*x - 4. Let p be (-1010)/90 + 2/9. What is the units digit of r(p)? 1 Let w(a) = -119*a + 1. Let j be 6/(-9) + (-1)/3. Let y be w(j). Suppose -3*d - m + 51 = -y, 2*d + 4*m = 124. What is the units digit of d? 6 Let t = 57 - 100. Let f = -126 - t. Let v = -37 - f. What is the units digit of v? 6 Suppose 1382 - 27642 = -65*c. What is the tens digit of c? 0 Let s(y) = -14*y - 6. Let r = -14 + 8. Let t be s(r). Suppose 3*l - j = 2 + t, -3*l + 3*j + 78 = 0. What is the tens digit of l? 2 Let v = 28 - 28. Suppose -9*q + 12*q - 300 = v. What is the hundreds digit of q? 1 Let v be (-20)/(-11) - 5*(-10)/275. What is the tens digit of ((-24)/10)/(v/(-145))? 7 Suppose 26*a = 25*a - 32. Let u = a - -56. What is the units digit of u? 4 Suppose 0 = -4*k - 5*c - 116, 0 = 3*k - k - 5*c + 88. What is the units digit of (2 - (-2 - -7))/(1/k)? 2 Let o(c) = -282*c - 203. What is the hundreds digit of o(-5)? 2 Suppose 0 = -2*u + 106 + 158. Let d be u/(-4) - 2*-1. Let o = d - -57. What is the units digit of o? 6 Let f(y) = -y**3 + 4*y**2 - y - 2. Let r be f(3). Suppose 10*i - 8*i = r. Suppose 97 = i*m + s, -3*m - 2*m = -3*s - 248. What is the units digit of m? 9 Suppose 4*x - 5 = 9*x, -4*u = x - 179. What is the units digit of u? 5 Let w(v) = -28*v + 115. What is the units digit of w(-15)? 5 Let j(z) = 2*z - 7*z - 10 + 159*z**2 - 143*z**2. What is the hundreds digit of j(3)? 1 Let o be (1/(-3))/((-3)/(-9)). Let i(d) = -45*d**2 - 2*d - 1. Let x be i(o). Let q = x + 64. What is the tens digit of q? 2 Suppose 55582 = 48*b + 5950. What is the tens digit of b? 3 Let c(i) = -i**2 + 9*i - 1. Let t be c(8). Suppose q + 2*d
{ "pile_set_name": "DM Mathematics" }
Suppose -4 = -4*k + v, 0 = 5*k - 3*k - 5*v + 16. Let g(c) = -9*c - 13. Let q(i) = -4*i - 6. Give k*g(a) + p*q(a). 2*a + 4 Let h(t) = 13*t + 1. Let f(q) = 5*q - 3. Calculate -4*f(w) + 3*h(w). 19*w + 15 Let q(y) be the third derivative of y**5/60 + y**4/8 + y**3/6 - 1066*y**2. Let v(r) = -r**2 - 3*r - 1. Give -6*q(a) - 5*v(a). -a**2 - 3*a - 1 Let b(i) = -3*i**2 - 12*i + 586. Let u(g) = 4*g - 1. Calculate b(o) + 3*u(o). -3*o**2 + 583 Let k = 6247 - 6237. Let u(o) = -14*o**2 - 4*o + 8. Let c(r) = r**2 - 1. Give k*c(p) + u(p). -4*p**2 - 4*p - 2 Let o(m) = 3*m + 9. Let p(u) = -4*u - 10. Let v(n) = -n - 3. Let q(z) = p(z) - 2*v(z). Let t(c) = c - 16. Let b be t(11). What is b*q(j) - 2*o(j)? 4*j + 2 Let j(v) = 2*v**2 - 8*v + 1. Let z(o) = -15*o**2 + 16*o + 2. Let f(r) = 2*j(r) + z(r). Let w(i) = -45*i**2 + 17. What is -9*f(p) + 2*w(p)? 9*p**2 - 2 Let t(a) = 112*a - 7. Let x(j) = -117*j + 8. What is 6*t(s) + 5*x(s)? 87*s - 2 Let j(u) = -53*u**3 - 71*u**2 + 38*u + 15. Let v(r) = 10*r**3 + 14*r**2 - 7*r - 3. What is 2*j(o) + 11*v(o)? 4*o**3 + 12*o**2 - o - 3 Let l(c) = -1537*c + 339 + 1532*c + c**2 - 341. Let r(w) = -3*w - 2 + w**2 + 0*w**2 - w. Determine -3*l(m) + 4*r(m). m**2 - m - 2 Let j(c) = 2479*c**2 - 185. Let s be -10 + 1472/115 - ((-1)/5 + 0). Let w(m) = -40*m**2 + 3. Calculate s*j(t) + 185*w(t). 37*t**2 Let h(f) = -20*f**3 - 2*f**2 - 3. Let l(c) be the first derivative of -21*c**4/4 - c**3 - 4*c - 3174. Give 4*h(z) - 3*l(z). -17*z**3 + z**2 Let d(h) = 7393 + 7418 - 14815 + 7*h. Suppose -s = -4*s - 24. Let t(k) = 11*k - 6. Calculate s*d(b) + 5*t(b). -b + 2 Let g(s) = -s - 33. Let i(k) = 2467*k + 49 - 47 + 42 - 2464*k + 56. Calculate 17*g(j) + 6*i(j). j + 39 Let j(t) = 37*t**2 + 9*t + 46. Let b(v) = 70*v**2 + 15*v + 92. What is 3*b(m) - 5*j(m)? 25*m**2 + 46 Suppose 3*y - 2*d - 11 = 0, y + 3*d - 49 + 38 = 0. Let q(s) = 11*s**3 - s - 5. Let x(t) = -12*t**3 + t + 6. What is y*x(l) + 6*q(l)? 6*l**3 - l Let n(x) = -13*x**2 - 1. Let g(c) = 69*c**2 - 51. Calculate 6*g(b) - 306*n(b). 4392*b**2 Let y(s) = -6777*s**2 - 61*s - 7. Let i(c) = 6779*c**2 + 70*c + 8. Calculate 7*i(w) + 8*y(w). -6763*w**2 + 2*w Let j(w) = -14*w + 3. Let y(h) = -24*h + 67*h - 30*h - 13 + 11. Calculate -4*j(t) - 5*y(t). -9*t - 2 Let p(i) = 1. Let y = -17903 + 17907. Let j(o) be the third derivative of 1/2*o**3 + 0*o + 0 - 16*o**2 - 1/24*o**y. Determine -j(c) + 3*p(c). c Let x(j) = -30 - 27 - 21 + 123 - 21 - 25 + j. Let s(k) = -4*k - 2. Let n(z) = -2*z**3 - z**2 - z - 1. Let w be n(-1). Give w*s(r) + 2*x(r). -2*r - 4 Let y(f) = 52*f**3 + 16*f - 1. Let n(w) = 2*w. Give 9*n(o) - y(o). -52*o**3 + 2*o + 1 Let g(f) be the second derivative of -f**5/20 - f**4/6 - f**3/3 - 18*f - 5. Let z(d) = d**2 + d. What is -g(x) - 2*z(x)? x**3 Let z(x) = 7*x**2 - 2*x**2 - x**3 + 5 - 2*x**3 - 2*x**2 + 7*x + 6*x**2. Let t(b) = b**3 - 5*b**2 - 3*b - 2. What is -7*t(r) - 3*z(r)? 2*r**3 + 8*r**2 - 1 Let v(n) = 457*n - 28. Let q(r) = -7. What is -5*q(h) + v(h)? 457*h + 7 Suppose 11 = 4*t - j, 0*j = 4*j + 12. Suppose 0 = 6*i - 4*i - t. Let v(w) = -26*w + 20*w + 2 + i. Let b(q) = 5*q - 2. Give -4*b(k) - 3*v(k). -2*k - 1 Let w(m) = -m**2 - 6*m - 1. Let s(o) = -2*o**2 + 181*o + 3. Determine -s(t) - 5*w(t). 7*t**2 - 151*t + 2 Let w(r) = 295*r**3 + r**2 + 21*r + 45. Let p(i) = -59*i**3 - 4*i - 8. What is -11*p(u) - 2*w(u)? 59*u**3 - 2*u**2 + 2*u - 2 Suppose 160*k = 2*a + 159*k - 4, -5*a - 5*k + 10 = 0. Let o(z) = -1. Let v(w) = -2*w + 6*w - 3*w. Determine a*o(d) + 4*v(d). 4*d - 2 Let y(d) = 5*d**2 + 1650*d + 49. Let s(b) = 2*b**2 + 551*b + 18. What is -11*s(f) + 4*y(f)? -2*f**2 + 539*f - 2 Let g(s) = 54*s + 7538. Let o(w) = 10*w + 1512. Determine 3*g(p) - 16*o(p). 2*p - 1578 Let f be 25/10 + (10/(-4))/5. Suppose 5*m + 20 = 4*r + 4*m, 10 = f*r - m. Let s(i) = 4*i**3 - 6*i - 8. Let d(p) = -5*p**3 + 7*p + 9. Determine r*d(y) + 6*s(y). -y**3 - y - 3 Let i(s) = 14*s**2 + 53*s**2 + 46*s**2 - 5*s + 43*s**2 - 7 - 159*s**2. Let t(j) = 2*j**2 + 3*j + 4. Determine 3*i(o) + 5*t(o). o**2 - 1 Let d(f) = 97*f**3 + 3*f**2 - 12*f + 6. Let u(a) = -49*a**3 - 2*a**2 + 7*a - 3. Determine -3*d(m) - 5*u(m). -46*m**3 + m**2 + m - 3 Let h(t) = -83*t**2 - 7*t + 113. Let o(b) = -39*b**2 - 3*b + 56. What is -3*h(n) + 7*o(n)? -24*n**2 + 53 Let y(a) = -8 - 2 - 1253*a**2 + 0 + 1249*a**2. Let q(g) = -4*g**2 - 11. Give 5*q(h) - 6*y(h). 4*h**2 + 5 Let v(f) = -10. Suppose 111*d + 6*y - 10 = 113*d, -5*y + 3 = d. Suppose 2*r + 13 = -3*k - 0*r, 21 = -5*k - 3*r. Let j(q) = q + 10. Give d*j(s) + k*v(s). -2*s + 10 Let o(s) = -7*s**2 - 6*s - 6. Let u(f) = 113*f + 3158. Let i be u(-28). Let a(k) = -14*k**2 - 13*k - 13. What is i*a(g) + 13*o(g)? -7*g**2 Let o(w) = 1. Suppose k - 2*k = -x - 8, -3*k = -3. Let h(b) = -17*b - 115. Let m be h(x). Let a(y) = y. What is m*o(s) + a(s)? s + 4 Let a(y) = 5*y - 343 + 7*y + 681 - 340 - 5*y. Let h(o) = o - 1. Determine a(j) - 4*h(j). 3*j + 2 Let h(v) = -7*v**2. Let l(f) be the second derivative of f**4/3 - 127*f. Let g(m) = -m**3 - 10*m**2 - 12*m - 25. Let u be g(-9). Calculate u*h(z) + 5*l(z). 6*z**2 Let p(z) = -59*z - 7. Let r(x) = 18*x - 1. What is p(c) + 4*r(c)? 13*c - 11 Let b(j) = -j - 2*j**2 + 4*j - 50 + 48. Let r = 4 + -2. Let d(l) = 0*l + 0*l + 0*l - r + 3*l - 2*l**2. Calculate 4*b(g) - 5*d(g). 2*g**2 - 3*g + 2 Let j(z) = z**2 + 1. Let v(n) = -14*n**2 - 8*n + 9. Let f(b) = 17*b**2 + 9*b - 10. Let x(l) = -7*f(l) - 8*v(l). Calculate 4*j(s) + x(s). -3*s**2 + s + 2 Let u(c) = 13*c**2 + 29*c - 192. Let i(j) = -8*j**2 - 17*j + 115. Give -12*i(f) - 7*u(f). 5*f**2 + f - 36 Let p(k) = -3*k**2 + 77*k + 4. Let l(j) = -j**2 + 1. Suppose -8*f - 4*r = -16, -3*r = -17*f + 20*f. Determine f*l(c) - p(c). -c**2 - 77*c Suppose 290*y - 81*y = -589 + 171. Let l(r) = -2*r + 4. Let j(h) = 0*h + h + h - 3. Calculate y*l(w) - 3*j(w). -2*w + 1 Let b(t) = t - 42. Let x(f) = -f + 83. Calculate -7*b(a) - 3*x(a). -4*a + 45 Let g(o) = 38*o - 273. Let k(f) = -17*f + 139. What is -3*g(d) - 7*k(d)? 5*d - 154 Let o(g) = g**3 + g**2 - g + 1. Let r(k) = 16832*k - 33678*k + 16839*k + 5 + 21*k**3 + 6*k**2. Determine -5*o(u) + r(u). 16*u**3 + u**2 - 2*u Let x(z) = -z**2 + 7 + z**2 - 5*z**3. Suppose 2*a + 4*h - 22 = 6*h, -h - 5 = 0. Suppose -a + 276 = -45*k. Let v(d) = -2*d**3 + 3. Calculate k*x(t) + 14*v(t). 2*t**3 Let y be 7/35 + -5 - (-52)/65. Suppose -9 = 9*p - 6*p. Let i(u) = u**3 + 3*u**2 - u - 3. Let d(f) = -2*f**3 - 3*f**2 + 2*f + 4. Calculate p*d(l) + y*i(l). 2*l**3 - 3*l**2 - 2*l Suppose -8 = -4*d + 4*w - 3*w, 0 = -4*w. Let q(y) = 3*y - d*y - 4*y + 4*y. Let z(p) = -17 - 15 + 48 - 4*p - 15. Determine -3*q(o) - z(o). o - 1 Let a(l) = 2*l**3 - 8*l - 5. Let r(k) = -3*k**3 + 12*k + 7. Let b = -141 + 146. Suppose b*g = 30 - 5. What is g*r(u) + 7*a(u)? -u**3 + 4*u Let x(s) = -5 - 6*s + 6*s - 13*s + 17*s - 7*s**2. Let f(u) = 20*u**2 - 11*u + 14. Calculate -4*f(c) - 11*x(c). -3*c**2 - 1 Suppose 8 = -2*f + 12. Let s(r) = -100*r - r**3 + 2 + 95*r - 7 + 5*r**f. Let b(m) = 4*m**2 - 4*m - 4. Calculate 5*b(p) - 4*s(p). 4*p**3 Let d(m) = 37*m**3 - 27*m - 3. Let l(v) = -38*v**3 - v**2 + 33*v + 4. What is -4*d(n) - 3*l(n)? -34*n**3 + 3*n**2 + 9*n Let o(n) = n**3 - n**2 + n. Let k be 6*((-185)/30 - -6). Let f(s) = 6*s**3 - 4*s**2 + 5*s - 2. Suppose 7*p + 12 = 10*p. Determine k*f(r) + p*o(r). -2*r**3 - r + 2 Let b(t) = 22*t**2 - 10*t - 10. Let w(l) = -24*l**2 - 14*l + 105. Let h(g) = 25*g**2 + 15*g - 111. Let r(m) = 17*h(m) + 18*w(m). Determine 6*b(k) + 20*r(k). -8*k**2 Let b(n) = -1231*n - 4*n**2 + 5*n**3 + 13 - 1206*n + 2443*n + 4*n**2. Let u(c) = 4*c**3 + 5*c + 13. Calculate 5*b(k) - 6*u(k). k**3 - 13 Let a(z) = -z**2 - 3*z - 1. Let d(u) = -u**3 - 414*u**2 + 6*u. Give 2*a(k) + d(k). -k**3 - 416*k**2 - 2 Let w be 10*28/40 - (-9)/(-3). Let d(q) = -7*q**2 - 2. Let h(x) = -8*x**2 - 3. Give w*h(m) - 6*d(m). 10*m**2 Let v(b) = -2703*b + 27. Let l(q) = 270298*q - 2709. Give -3*l(d) - 301*v(d). 2709*d Let w(m) = 1. Let p(r) be the first derivative of 2*r**2 - 4*r - 1254. What is -5*p(g) - 20*w(g)? -20*g Let r(p) = -22*p + 4. Let w(g) be the second derivative of -7*g**3/2 + 3*g**2/2 + 8060*g. Give 4*r(l) - 5*w(l). 17*l + 1 Suppose 4*x + 29 + 27 = 4*a, a = -x - 16. Let t(w) = -1. Let v(f) = 3*f + 610 - 1219 + 624. Give x*t(n) - v(n). -3*n Let a(q) be the third
{ "pile_set_name": "DM Mathematics" }
(-16)/h - 2/7. Suppose r*n + 10 = -4*u - 0*n, 4*u - 3*n = -5. Which is the nearest to 0.1? (a) -3 (b) 5 (c) u c Let f = 3.1 - 3.3. Which is the closest to 0.1? (a) -0.12 (b) 5 (c) f a Let g be (-4)/(-14) - (-102)/(-63). Let n = 2 + -2.1. Suppose s = -2 - 0. Which is the nearest to 1? (a) n (b) s (c) g a Let r be 1 - 1 - 0/3. Which is the nearest to r? (a) -1/6 (b) 5 (c) 2 a Let t = -0.084 - -0.084. What is the nearest to -0.1 in 1.8, -1, t? t Let y = 1 - 3. Let q = y + -3. Which is the closest to -1? (a) 0.2 (b) -2/5 (c) q b Let u = 132 - 143.1. Let m = 11 + u. Which is the closest to 0? (a) 2/3 (b) -0.5 (c) m c Let s(d) = -d**2 - d + 1. Let i be s(2). Let b = 17 - 67/4. What is the nearest to -1 in b, 0.5, i? b Let p = -341/144 + 45/16. Let f = -4/81 - 73/162. Which is the nearest to f? (a) -4 (b) p (c) 5 b Let w be 9/6*16/156. Suppose -3*u + 0*u = -9, -5*f - 3*u = 1. What is the nearest to 0.1 in -4, w, f? w Let c = -0.1 + 0.44. Let v = c - 0.34. Let a = 0 + -0.2. What is the nearest to 2 in 0.5, a, v? 0.5 Let o = -0.2 - 0.1. Suppose -10*r - 30 = 5*r. Which is the nearest to 0.1? (a) r (b) o (c) 4/7 b Let g = -141 - -142. Which is the closest to 0.2? (a) 5 (b) g (c) -1 b Let p = -0.5 + 1. Let a be ((-12)/(-63))/(14/49). Let z be (-15)/(-9) - (0 - -1). What is the closest to z in -5, a, p? a Let g = 29/3 - 142/15. What is the nearest to -2/3 in g, -0.2, -2? -0.2 Let u = 17 + -20. Let p be u/9 - 14/(-78). Which is the nearest to -0.2? (a) p (b) 5 (c) -0.1 a Let p = 3.97 - -0.03. Let w be (-26)/(-15) - (-26)/(-65). Which is the closest to -1? (a) -0.1 (b) w (c) p a Let m be (-8)/4 - (-1 + -2). Suppose -r = 3*w + 4 + 6, 0 = -r + 2*w. Let l = -6 - r. Which is the closest to m? (a) l (b) 1/8 (c) 2/15 c Suppose -151 = 3*g + x, -6 = 2*g + 2*x + 96. Let t = 349/7 + g. Let k = -2.6 - -3. What is the closest to 2/9 in k, t, -4? k Let c = -23 - -23. What is the closest to c in 0, -3/5, 5? 0 Let u = -0.03 + -9.97. Let d = u + 6. Which is the nearest to 0.1? (a) d (b) 2/11 (c) 2/5 b Let l = 0.2 + 0.3. Let f = 0.194 + 0.006. What is the closest to -3 in -3, l, f? -3 Let n = 176/765 + -2/255. What is the nearest to n in -2/7, 5, -0.3? -2/7 Let q(m) = 6*m**2 - 12*m. Let p(r) = 7*r**2 - 13*r - 1. Let u(v) = 5*p(v) - 6*q(v). Let x be u(5). Which is the nearest to -1/4? (a) 0.3 (b) -5 (c) x a Let t = -0.05 + 0.15. Let a = 10 + -16. Let r be (-3)/(-9)*1*a. What is the nearest to -2 in r, 5, t? r Let z = 24 - 71/3. Which is the closest to -3? (a) 5 (b) z (c) 1 b Let x = 0.2 - -0.8. What is the closest to -0.1 in 2/5, x, 4? 2/5 Let w = 33 + -35. Let v = -0.1 + 0.2. Which is the closest to -0.4? (a) -0.2 (b) v (c) w a Let k be (2/3)/((-4)/(-3)). Let d = 3.99 + 0.01. Let g be 12/20 + (-2)/(-5). What is the nearest to g in d, -3/7, k? k Suppose 4*a - p = 5, 0 = 2*a - 3*a - 4*p + 14. What is the nearest to -0.2 in a, 0, 5? 0 Let s = 0 - 3. Let n = 0.04 - 0.44. What is the closest to -0.1 in n, -2/11, s? -2/11 Let z = -0.05 + -6.95. Let w = z + 4. What is the closest to 1/2 in 0.3, -1, w? 0.3 Let d = -18/29 - -206/145. Let u = 1.99 + 0.01. What is the closest to u in d, -3, -0.4? d Let r(u) = 7*u - 40. Let y be r(5). Which is the nearest to -2/9? (a) y (b) -1/2 (c) -0.1 c Let m = 23 + -24. What is the closest to -0.1 in 5, 0.2, m? 0.2 Let f = -2/71 + -63/284. What is the closest to -7 in 0.4, 0.3, f? f Let p(j) = j**2 + 12*j - 9. Let i be p(-9). Let x be (-15)/i + 4/(-6). Which is the nearest to 0? (a) -2 (b) 2/19 (c) x b Let r = -665246 - -371872808/559. Let t = -16/43 + r. What is the nearest to 0 in t, 3, -3/4? t Let j = 0.3 + -0.4. Let g = -1.8 + 3.1. Let v = -6.3 + g. Which is the closest to j? (a) v (b) 0.5 (c) 0.1 c Let n = -0.15 - -0.35. Let x = 4 + -3.5. What is the nearest to n in -3, 4, x? x Let h = 59/434 - 2/31. Which is the closest to 0.1? (a) h (b) -2/7 (c) 4/7 a Suppose 4*f + 2 = -5*d, -d + f + 1 + 4 = 0. Let k be (-2 + 3 - d)/(-4). Which is the nearest to k? (a) -0.1 (b) 2/11 (c) 0.4 b Let d = -6.6 + 2.6. Which is the nearest to -1? (a) 5 (b) -1 (c) d b Let p = 0.5 + -0.2. Let y = -3.1 + 2.2. Let k = y + 0.9. What is the nearest to -0.1 in k, p, -4? k Let h = 8.8 + -12.8. Let f(m) = m**2 + 11*m + 14. Let d be f(-10). What is the closest to -1 in h, d, -2? -2 Let v = -3 - -5. Let y be (-6)/v - 143/(-55). Which is the nearest to y? (a) -4 (b) -2 (c) 0.2 c Let y = -0.5 + 3.5. Let u = 0 + -3. Let n = y + u. What is the nearest to n in -1, -1/3, -2? -1/3 Let s(f) = -2*f**2 - f + 1. Let y be s(1). Let z be -1 + 3 - (1 + y). Suppose -z = -3*i - 0. Which is the nearest to 0? (a) -5 (b) i (c) 0.2 c Let p = -11/2 - -31/6. What is the closest to -3 in -0.4, p, 0? -0.4 Let u = -0.6 - -2. Let g = -1.4 + u. Which is the nearest to -1? (a) g (b) 5 (c) 1/2 a Let q = 1.6 - 2.4. What is the closest to 0.2 in q, -3/7, 3? -3/7 Let j = 5.67 + -0.67. Which is the closest to -0.02? (a) -1 (b) -0.4 (c) j b Let v = -26 + 24.5. Let r = 1.3 + v. Which is the closest to r? (a) -2 (b) 0.5 (c) -1 b Let f = -2 + 1.93. Let q = 0.413 - 0.113. Which is the closest to f? (a) 1/5 (b) 3 (c) q a Let f be 1 - -1*(-8)/6. Let u = -195 - -583/3. What is the nearest to f in -5, -0.5, u? -0.5 Let q = 5/2 + -13/6. Let t = -12 - -11. Let w be ((-1)/3)/(t/(-2)). What is the nearest to w in 5, -3, q? q Let z = 19 + -19.48. Let b = z + -0.02. What is the nearest to -1/4 in 0.1, 1, b? b Let u = 44.6 + -45. Let m = 1 - 1.3. Which is the closest to -0.1? (a) u (b) m (c) 3/4 b Let n = -18 - -8. Let k = n + 10.2. Which is the closest to k? (a) 0 (b) 1/2 (c) 1/4 c Suppose 0*p = 3*d + 3*p + 24, 4 = -5*d + 4*p. Let h be 3/3 + 2 + d. Let u be 3/(4 - 9/3). Which is the nearest to -1/4? (a) u (b) h (c) -5 b Let l = 10 + -10.1. What is the closest to 0.1 in l, -1, -2/9? l Let f = -6.7 - 2.3. Let m = 5 + f. Let d = 94/261 + -4/29. What is the closest to d in 2, 4, m? 2 Let y = -0.2 - -0.3. Let z = -417.3 + 417. What is the closest to y in z, 4/7, 0.4? 0.4 Let g = 33 + -32. What is the nearest to 1 in 4, g, -0.3? g Let n be -1 - -2 - (-19)/(-17). Let b = 0.47 - 0.67. What is the closest to b in -5, n, 0.1? n Let z = 0.17 + -0.27. Which is the closest to z? (a) 3/5 (b) -1/3 (c) 6 b Let v = 0.4 - 0.7. Let f = 12.8 + -13. Let m be ((-2 - -2)/(-2))/2. What is the closest to m in f, -3, v? f Let t be (-1 - 1) + 1 + 11/9. Which is the closest to 0? (a) 4/5 (b) -15 (c) t c Let u = 0.2 + -0.2. Which is the nearest to -2/5? (a) u (b) 0.3 (c) -4 a Let p = 4.4 + -5. Let m = p - -0.6. What is the nearest to 2 in m, -5, -1/2? m Let i = 3.7 - -0.3. Let l = -2.1 - -2.3. What is the closest to 2/5 in -4, l, i? l Let h = 2.44 - 1.4. Let w = -0.04 + h. Which is the nearest to 2/7? (a) -1 (b) w (c) 0.4 c Suppose -21 = -2*r - r - 3*w, 0 = w. Let x be r*((-20)/(-7) - 2). Let f be (-5)/(-9)*x/15. Which is the nearest to 2/7? (a) f (b) 1/4 (c) 2/3 b Let t = 133 + -529/4. Let j = -0.8 + 1.3. Let x = 1 + -1. What is the closest to x in j, -3, t? j Let t = 3/13 - 61/39. Suppose 3*r - 1 = 5. Let z be (0 - 2)*(-1)/r. What is the closest to z in -4, 3, t? 3 Let m = 0.03 + 0.04. Let w = m - -2.93. Let s = w - 0. What is the closest to -1 in s, 2/11, -4? 2/11 Suppose i - 4 = -2. Suppose 4*w = w + 3*n + 3, 0 = i*w - n + 3. Let z = -0.9 + -0.1. Which is the nearest to -2/7? (a) -2 (b) w (c) z c Let k = -96 - -92. Which is the closest to 3/4? (a) 0.1 (b) k (c) 3 a Let h = -0.5 + 0.1. Let k be 10/(-8)*(-2)/110. Let n = -85/132 - k. What is the closest to n in 3/2, h, -2? h Let u = 14 - 10. Suppose -4*l = -6*l - u. Which is the closest to 0? (a) 3 (b) l (c) 1/2 c Let d = 0.5 + -7.5. Let j = -6 - d. What is the nearest to j in 0.1, 1/3, -4? 1/3 Suppose -16 = -4*r - 0. Let x = 3.2 + -1.2. Let o = 37/2 - 19. Which is the nearest to x? (a) o (b) r (c) 0.5 c Let r = -42 + 41.9. Which is the closest to r? (a) 3 (b) -0.3 (c) 0.2 b Let y = -150 - -744/5. Let k = -13.1 + 13. What is the nearest to 0 in y, -4, k? k Suppose 5*s - 3*v - 2 = 2, 5*s - 4*v = 2. Which is the nearest to 0.1? (a) -3 (b) s (c) -1 c Suppose 9*r = 4*r. Suppose -u - 13 = 3*x, 0*x - 4*x = 4*u + 28. What is the closest to 1/3 in -0.5, u, r? r Let w be -3 + 5 +
{ "pile_set_name": "DM Mathematics" }